TSTP Solution File: SCT170+7 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT170+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 : 300s
% DateTime : Wed Jul 27 13:12:39 EDT 2022
% Result : Unknown 61.46s 61.12s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SCT170+7 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:09:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 61.30/61.00 ----- Otter 3.3f, August 2004 -----
% 61.30/61.00 The process was started by sandbox2 on n006.cluster.edu,
% 61.30/61.00 Wed Jul 27 09:09:17 2022
% 61.30/61.00 The command was "./otter". The process ID is 25845.
% 61.30/61.00
% 61.30/61.00 set(prolog_style_variables).
% 61.30/61.00 set(auto).
% 61.30/61.00 dependent: set(auto1).
% 61.30/61.00 dependent: set(process_input).
% 61.30/61.00 dependent: clear(print_kept).
% 61.30/61.00 dependent: clear(print_new_demod).
% 61.30/61.00 dependent: clear(print_back_demod).
% 61.30/61.00 dependent: clear(print_back_sub).
% 61.30/61.00 dependent: set(control_memory).
% 61.30/61.00 dependent: assign(max_mem, 12000).
% 61.30/61.00 dependent: assign(pick_given_ratio, 4).
% 61.30/61.00 dependent: assign(stats_level, 1).
% 61.30/61.00 dependent: assign(max_seconds, 10800).
% 61.30/61.00 clear(print_given).
% 61.30/61.00
% 61.30/61.00 formula_list(usable).
% 61.30/61.00 all A (A=A).
% 61.30/61.00 ti(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),arrow_1541970350le_IIA)=arrow_1541970350le_IIA.
% 61.30/61.00 ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),arrow_1568854078le_Lin)=arrow_1568854078le_Lin.
% 61.30/61.00 ti(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),arrow_301600364e_Prof)=arrow_301600364e_Prof.
% 61.30/61.00 ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),arrow_357225482_above)=arrow_357225482_above.
% 61.30/61.00 ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),arrow_1665824030_below)=arrow_1665824030_below.
% 61.30/61.00 ti(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool)),arrow_708804735ctator)=arrow_708804735ctator.
% 61.30/61.00 ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1622070166_mkbot)=arrow_1622070166_mkbot.
% 61.30/61.00 ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1770777252_mktop)=arrow_1770777252_mktop.
% 61.30/61.00 ti(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),arrow_1066301521nimity)=arrow_1066301521nimity.
% 61.30/61.00 all X_b X_c X_a (ti(fun(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c))),combb(X_b,X_c,X_a))=combb(X_b,X_c,X_a)).
% 61.30/61.00 all X_a X_b X_c (ti(fun(fun(X_a,fun(X_b,X_c)),fun(X_b,fun(X_a,X_c))),combc(X_a,X_b,X_c))=combc(X_a,X_b,X_c)).
% 61.30/61.00 all X_a (ti(fun(X_a,X_a),combi(X_a))=combi(X_a)).
% 61.30/61.00 all X_a X_b (ti(fun(X_a,fun(X_b,X_a)),combk(X_a,X_b))=combk(X_a,X_b)).
% 61.30/61.00 all X_a X_b X_c (ti(fun(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c))),combs(X_a,X_b,X_c))=combs(X_a,X_b,X_c)).
% 61.30/61.00 all X_a X_b (ti(fun(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool))),in_rel(X_a,X_b))=in_rel(X_a,X_b)).
% 61.30/61.00 all X_a X_b (ti(fun(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool))),pi(X_a,X_b))=pi(X_a,X_b)).
% 61.30/61.00 all X_a (minus(X_a)->ti(fun(X_a,fun(X_a,X_a)),minus_minus(X_a))=minus_minus(X_a)).
% 61.30/61.00 all X_a (one(X_a)->ti(X_a,one_one(X_a))=one_one(X_a)).
% 61.30/61.00 all X_a (monoid_add(X_a)->ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a))=plus_plus(X_a)).
% 61.30/61.00 all X_a (ab_semigroup_add(X_a)->ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a))=plus_plus(X_a)).
% 61.30/61.00 all X_a (cancel_semigroup_add(X_a)->ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a))=plus_plus(X_a)).
% 61.30/61.00 all X_a (zero(X_a)->ti(X_a,zero_zero(X_a))=zero_zero(X_a)).
% 61.30/61.00 all X_a (cl_HOL_Oe_qual(X_a)->ti(fun(X_a,fun(X_a,bool)),e_qual_e_qual(X_a))=e_qual_e_qual(X_a)).
% 61.30/61.00 all X_a (ti(X_a,undefined(X_a))=undefined(X_a)).
% 61.30/61.00 all X_a (ti(fun(bool,fun(X_a,fun(X_a,X_a))),if(X_a))=if(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),fun(list(X_a),list(X_a))),append(X_a))=append(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),list(X_a)),butlast(X_a))=butlast(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),bool),distinct(X_a))=distinct(X_a)).
% 61.30/61.00 all X_a (ti(fun(nat,fun(list(X_a),list(X_a))),drop(X_a))=drop(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,bool),fun(list(X_a),list(X_a))),dropWhile(X_a))=dropWhile(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),X_a),hd(X_a))=hd(X_a)).
% 61.30/61.00 all X_a (ti(fun(X_a,fun(list(X_a),list(X_a))),insert(X_a))=insert(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),X_a),last(X_a))=last(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),lenlex(X_a))=lenlex(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),lex(X_a))=lex(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(product_prod(X_a,X_a),bool),fun(nat,fun(product_prod(list(X_a),list(X_a)),bool))),lexn(X_a))=lexn(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),lexord(X_a))=lexord(X_a)).
% 61.30/61.00 all X_a (linorder(X_a)->ti(fun(list(X_a),bool),linorder_sorted(X_a))=linorder_sorted(X_a)).
% 61.30/61.00 all X_a (ti(fun(X_a,fun(list(X_a),list(X_a))),cons(X_a))=cons(X_a)).
% 61.30/61.00 all X_a (ti(list(X_a),nil(X_a))=nil(X_a)).
% 61.30/61.00 all X_a X_b (ti(fun(X_a,fun(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a))),list_case(X_a,X_b))=list_case(X_a,X_b)).
% 61.30/61.00 all X_a X_b (ti(fun(X_a,fun(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a))),list_rec(X_a,X_b))=list_rec(X_a,X_b)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,nat),fun(list(X_a),nat)),list_size(X_a))=list_size(X_a)).
% 61.30/61.00 all X_a X_b (ti(fun(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool))),list_all2(X_a,X_b))=list_all2(X_a,X_b)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),fun(nat,fun(X_a,list(X_a)))),list_update(X_a))=list_update(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),listrel(X_a))=listrel(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),listrel1(X_a))=listrel1(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool))),listrelp(X_a))=listrelp(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(fun(X_a,bool)),fun(list(X_a),bool)),listset(X_a))=listset(X_a)).
% 61.30/61.00 all X_b X_a (ti(fun(fun(X_b,list(X_a)),fun(list(X_b),list(X_a))),maps(X_b,X_a))=maps(X_b,X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),fun(nat,X_a)),nth(X_a))=nth(X_a)).
% 61.30/61.00 all X_b (ti(fun(list(X_b),bool),null(X_b))=null(X_b)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a)))),partition(X_a))=partition(X_a)).
% 61.30/61.00 all X_a (ti(fun(nat,fun(X_a,list(X_a))),replicate(X_a))=replicate(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),list(X_a)),rev(X_a))=rev(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),list(X_a)),rotate1(X_a))=rotate1(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),fun(X_a,bool)),set(X_a))=set(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool))),set_Cons(X_a))=set_Cons(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),fun(list(X_a),list(X_a))),splice(X_a))=splice(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),fun(fun(nat,bool),list(X_a))),sublist(X_a))=sublist(X_a)).
% 61.30/61.00 all X_a (ti(fun(nat,fun(list(X_a),list(X_a))),take(X_a))=take(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,bool),fun(list(X_a),list(X_a))),takeWhile(X_a))=takeWhile(X_a)).
% 61.30/61.00 all X_a (ti(fun(list(X_a),list(X_a)),tl(X_a))=tl(X_a)).
% 61.30/61.00 all X_a X_b (ti(fun(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b)))),zip(X_a,X_b))=zip(X_a,X_b)).
% 61.30/61.00 ti(fun(nat,nat),suc)=suc.
% 61.30/61.00 all X_a (ti(fun(X_a,fun(fun(nat,X_a),fun(nat,X_a))),nat_case(X_a))=nat_case(X_a)).
% 61.30/61.00 ti(fun(nat,nat),nat_size)=nat_size.
% 61.30/61.00 ti(fun(nat,nat),size_size(nat))=size_size(nat).
% 61.30/61.00 all X_a (ti(fun(list(X_a),nat),size_size(list(X_a)))=size_size(list(X_a))).
% 61.30/61.00 ti(fun(fun(arrow_2142409994le_alt,bool),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),order_215145569der_on(arrow_2142409994le_alt))=order_215145569der_on(arrow_2142409994le_alt).
% 61.30/61.00 all X_a (ord(X_a)->ti(fun(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,X_a))),min(X_a))=min(X_a)).
% 61.30/61.00 all X_a (ord(X_a)->ti(fun(X_a,fun(X_a,bool)),ord_less(X_a))=ord_less(X_a)).
% 61.30/61.00 all X_b (ord(X_b)->ti(fun(X_b,fun(X_b,bool)),ord_less_e_q(X_b))=ord_less_e_q(X_b)).
% 61.30/61.00 all X_a (ord(X_a)->ti(fun(X_a,fun(X_a,X_a)),ord_min(X_a))=ord_min(X_a)).
% 61.30/61.00 all X_a (top(X_a)->ti(X_a,top_top(X_a))=top_top(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,fun(X_a,bool)),bool),reflp(X_a))=reflp(X_a)).
% 61.30/61.00 all X_a X_b (ti(fun(X_a,fun(X_b,product_prod(X_a,X_b))),product_Pair(X_a,X_b))=product_Pair(X_a,X_b)).
% 61.30/61.00 all X_a X_b X_c (ti(fun(fun(product_prod(X_a,X_b),X_c),fun(X_a,fun(X_b,X_c))),product_curry(X_a,X_b,X_c))=product_curry(X_a,X_b,X_c)).
% 61.30/61.00 all X_b X_c X_a (ti(fun(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a)),produc1605651328_split(X_b,X_c,X_a))=produc1605651328_split(X_b,X_c,X_a)).
% 61.30/61.00 all X_a X_c X_b X_d (ti(fun(fun(X_a,X_c),fun(fun(X_b,X_d),fun(product_prod(X_a,X_b),product_prod(X_c,X_d)))),product_map_pair(X_a,X_c,X_b,X_d))=product_map_pair(X_a,X_c,X_b,X_d)).
% 61.30/61.00 all X_b X_c X_a (ti(fun(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a)),product_prod_case(X_b,X_c,X_a))=product_prod_case(X_b,X_c,X_a)).
% 61.30/61.00 all X_b X_c X_a (ti(fun(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a)),product_prod_rec(X_b,X_c,X_a))=product_prod_rec(X_b,X_c,X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool)),refl_on(X_a))=refl_on(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,bool),fun(X_a,bool)),collect(X_a))=collect(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool)),transitive_rtrancl(X_a))=transitive_rtrancl(X_a)).
% 61.30/61.00 all X_a X_b (ti(fun(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool))),lex_prod(X_a,X_b))=lex_prod(X_a,X_b)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,nat),fun(product_prod(X_a,X_a),bool)),measure(X_a))=measure(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,nat),fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool))),mlex_prod(X_a))=mlex_prod(X_a)).
% 61.30/61.00 all X_a (ti(fun(fun(X_a,bool),bool),fEx(X_a))=fEx(X_a)).
% 61.30/61.00 ti(bool,fFalse)=fFalse.
% 61.30/61.00 ti(fun(bool,bool),fNot)=fNot.
% 61.30/61.00 ti(bool,fTrue)=fTrue.
% 61.30/61.00 ti(fun(bool,fun(bool,bool)),fconj)=fconj.
% 61.30/61.00 ti(fun(bool,fun(bool,bool)),fdisj)=fdisj.
% 61.30/61.00 all X_a (ti(fun(X_a,fun(X_a,bool)),fe_qual(X_a))=fe_qual(X_a)).
% 61.30/61.00 all X_a X_c B_1_1 B_2_1 (hAPP(X_a,X_c,ti(fun(X_a,X_c),B_1_1),B_2_1)=hAPP(X_a,X_c,B_1_1,B_2_1)).
% 61.30/61.00 all X_a X_c B_1_1 B_2_1 (hAPP(X_a,X_c,B_1_1,ti(X_a,B_2_1))=hAPP(X_a,X_c,B_1_1,B_2_1)).
% 61.30/61.00 all X_c X_a B_1_1 B_2_1 (ti(X_c,hAPP(X_a,X_c,B_1_1,B_2_1))=hAPP(X_a,X_c,B_1_1,B_2_1)).
% 61.30/61.00 all B_1_1 (hBOOL(ti(bool,B_1_1))<->hBOOL(B_1_1)).
% 61.30/61.00 all X_b (ti(fun(X_b,fun(fun(X_b,bool),bool)),member(X_b))=member(X_b)).
% 61.30/61.00 ti(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),f)=f.
% 61.30/61.00 ti(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),p_1)=p_1.
% 61.30/61.00 ti(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),p)=p.
% 61.30/61.00 ti(arrow_2142409994le_alt,a)=a.
% 61.30/61.00 ti(arrow_2142409994le_alt,b)=b.
% 61.30/61.00 ti(arrow_2142409994le_alt,c)=c.
% 61.30/61.00 hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),p),arrow_301600364e_Prof)).
% 61.30/61.00 hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,f)).
% 61.30/61.00 hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,f)).
% 61.30/61.00 a!=b.
% 61.30/61.00 hBOOL(hAPP(list(arrow_2142409994le_alt),bool,distinct(arrow_2142409994le_alt),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),a),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),b),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),c),nil(arrow_2142409994le_alt)))))).
% 61.30/61.00 all I (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,I)))<->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),b),a)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p_1,I)))).
% 61.30/61.00 -(all C_2 (-hBOOL(hAPP(list(arrow_2142409994le_alt),bool,distinct(arrow_2142409994le_alt),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),a),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),b),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),C_2),nil(arrow_2142409994le_alt)))))))).
% 61.30/61.00 hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),p)),c)),b))),b)),a)),arrow_301600364e_Prof)).
% 61.30/61.00 hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),p)),c)),b))),b)),a))),a)),c)),arrow_301600364e_Prof)).
% 61.30/61.00 hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),p)),c)),b)),arrow_301600364e_Prof)).
% 61.30/61.00 all X_1 Y_1 L_3 Z_2 (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),Z_2)))<->ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Z_2)& (ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Z_2)->ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1))& (ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Z_2)->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)))).
% 61.30/61.00 all X_1 Y_1 L_3 Z_2 (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),Z_2)))<->ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Z_2)& (ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Z_2)->ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1))& (ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Z_2)->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)))).
% 61.30/61.00 all X_1 Y_1 L_3 Aa Ba (ti(arrow_2142409994le_alt,Aa)!=ti(arrow_2142409994le_alt,Ba)-> (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))-> (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))<->ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1)& (ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Aa)->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Ba)),L_3)))& (ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Aa)-> (ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Aa)->ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Ba)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Ba),Y_1)),L_3)))& (ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa)->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3))))))).
% 61.30/61.00 all X_a X_b Pa ((all X1 hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,X1)))<-> (all A_5 B_2 hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2))))).
% 61.30/61.00 all X_b X_a Aa Ba A_3 B_3 (hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3)<->ti(X_a,Aa)=ti(X_a,A_3)&ti(X_b,Ba)=ti(X_b,B_3)).
% 61.30/61.00 all X_b X_a A_1 B A_6 B_4 (hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_1),B)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_6),B_4)-> -(ti(X_a,A_1)=ti(X_a,A_6)->ti(X_b,B)!=ti(X_b,B_4))).
% 61.30/61.00 all X_b X_a R_2 X_1 Y_1 (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),in_rel(X_a,X_b),R_2),X_1),Y_1))<->hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),R_2))).
% 61.30/61.00 all L_3 X_1 Y_1 (ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1)-> (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))->hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),X_1),Y_1)),arrow_1568854078le_Lin)))).
% 61.30/61.00 hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),p_1),arrow_301600364e_Prof)).
% 61.30/61.00 all P_a Pa A_3 B_3 Aa Ba (ti(arrow_2142409994le_alt,Aa)!=ti(arrow_2142409994le_alt,Ba)-> (ti(arrow_2142409994le_alt,A_3)!=ti(arrow_2142409994le_alt,B_3)-> (ti(arrow_2142409994le_alt,Aa)!=ti(arrow_2142409994le_alt,B_3)-> (ti(arrow_2142409994le_alt,Ba)!=ti(arrow_2142409994le_alt,A_3)-> (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Pa),arrow_301600364e_Prof))-> (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),P_a),arrow_301600364e_Prof))-> ((all I (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Pa,I)))<->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),P_a,I)))))-> (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,Pa)))->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,P_a))))))))))).
% 61.30/61.00 all P_a Pa A_3 B_3 Aa Ba (ti(arrow_2142409994le_alt,Aa)!=ti(arrow_2142409994le_alt,Ba)-> (ti(arrow_2142409994le_alt,A_3)!=ti(arrow_2142409994le_alt,B_3)-> (ti(arrow_2142409994le_alt,Aa)!=ti(arrow_2142409994le_alt,B_3)-> (ti(arrow_2142409994le_alt,Ba)!=ti(arrow_2142409994le_alt,A_3)-> (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Pa),arrow_301600364e_Prof))-> (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),P_a),arrow_301600364e_Prof))-> ((all I (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Pa,I)))<->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),P_a,I)))))-> (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,Pa)))<->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,P_a))))))))))).
% 61.30/61.00 hBOOL(hAPP(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),f),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_301600364e_Prof),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1568854078le_Lin)))).
% 61.30/61.00 all L_3 (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))->hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),combk(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),arrow_1998540521e_indi),L_3)),arrow_301600364e_Prof))).
% 61.30/61.00 all X_1 L_3 (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))->hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),X_1)),arrow_1568854078le_Lin))).
% 61.30/61.00 all X_1 L_3 (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))->hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),X_1)),arrow_1568854078le_Lin))).
% 61.30/61.00 all Aa Ba L_3 (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))-> (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),L_3))-> -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Ba),Aa)),L_3)))).
% 61.30/61.00 all X_1 Y_1 L_3 (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))-> (ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1)-> (-hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3))<->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Y_1),X_1)),L_3))))).
% 61.30/61.00 all A_1 B (ti(arrow_2142409994le_alt,A_1)!=ti(arrow_2142409994le_alt,B)-> (exists C_2 hBOOL(hAPP(list(arrow_2142409994le_alt),bool,distinct(arrow_2142409994le_alt),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),A_1),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),B),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),C_2),nil(arrow_2142409994le_alt)))))))).
% 61.30/61.00 all Fa_1 (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))<-> (all X_2 (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))-> (all Xa (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Xa),arrow_301600364e_Prof))-> (all A_5 B_2 ((all I (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,I)))<->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Xa,I)))))-> (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2)))<->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,Xa))))))))))).
% 61.30/61.00 all Fa_1 (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,Fa_1))<-> (all X_2 (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))-> (all A_5 B_2 ((all I hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,I))))->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2)))))))).
% 61.30/61.00 all Aa Ba (ti(arrow_2142409994le_alt,Aa)!=ti(arrow_2142409994le_alt,Ba)-> (exists X_2 (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),X_2),arrow_1568854078le_Lin))&hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),X_2))))).
% 61.30/61.00 all X_1 Y_1 L_3 Aa Ba (ti(arrow_2142409994le_alt,Aa)!=ti(arrow_2142409994le_alt,Ba)-> (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))-> (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))<->ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1)& (ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Ba)->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Y_1)),L_3)))& (ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Ba)-> (ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Ba)->ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Aa)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Aa)),L_3)))& (ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba)->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3))))))).
% 61.30/61.00 all X_b X_c X_a F1 Aa Ba (hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_rec(X_b,X_c,X_a),F1),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))=hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),F1,Aa),Ba)).
% 61.30/61.00 all X_a hBOOL(hAPP(list(X_a),bool,distinct(X_a),nil(X_a))).
% 61.30/61.00 all X_a A_6 List_4 (nil(X_a)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_6),List_4)).
% 61.30/61.00 all X_a A_6 List_4 (hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_6),List_4)!=nil(X_a)).
% 61.30/61.00 exists A_5 B_2 C_2 hBOOL(hAPP(list(arrow_2142409994le_alt),bool,distinct(arrow_2142409994le_alt),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),A_5),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),B_2),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),C_2),nil(arrow_2142409994le_alt)))))).
% 61.30/61.00 exists L_4 hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_4),arrow_1568854078le_Lin)).
% 61.30/61.00 all Fa_1 I_1 (hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1))<-> (all X_2 (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))->hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2)=hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,I_1)))).
% 61.30/61.00 all X_a Aa List A_3 List_3 (hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),List)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_3),List_3)<->ti(X_a,Aa)=ti(X_a,A_3)&List=List_3).
% 61.30/61.00 all X_a X Xs (hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)!=Xs).
% 61.30/61.00 all X_a Xs X (Xs!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)).
% 61.30/61.00 all L_3 X_1 Y_1 (ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1)-> (hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))->hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),X_1),Y_1)),arrow_1568854078le_Lin)))).
% 61.30/61.00 all I_1 Fa_1 (hBOOL(hAPP(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Fa_1),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_301600364e_Prof),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1568854078le_Lin))))-> ((all X_2 (hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))-> (all A_5 B_2 (ti(arrow_2142409994le_alt,A_5)!=ti(arrow_2142409994le_alt,B_2)-> (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,I_1)))->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2))))))))->hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1)))).
% 61.30/61.00 all X_a X_b X_1 F A_2 B_1 (hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))-> (-hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_1)),hAPP(X_a,fun(X_b,bool),B_1,X_1)))-> -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2)))).
% 61.30/61.00 all X_a Y (Y!=nil(X_a)-> -(all A_5 List_2 (Y!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_5),List_2)))).
% 61.30/61.00 all X_a Xs_1 (Xs_1!=nil(X_a)<-> (exists Y_2 Ys_2 (Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)))).
% 61.30/61.00 all X_a A_2 hBOOL(hAPP(fun(fun(X_a,X_a),bool),bool,hAPP(fun(X_a,X_a),fun(fun(fun(X_a,X_a),bool),bool),member(fun(X_a,X_a)),combi(X_a)),hAPP(fun(X_a,fun(X_a,bool)),fun(fun(X_a,X_a),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_a,bool)),fun(fun(X_a,X_a),bool)),pi(X_a,X_a),A_2),hAPP(fun(X_a,bool),fun(X_a,fun(X_a,bool)),combk(fun(X_a,bool),X_a),A_2)))).
% 61.30/61.00 all X_a X_b X_1 F A_2 B_1 (hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),hAPP(fun(X_b,bool),fun(X_a,fun(X_b,bool)),combk(fun(X_b,bool),X_a),B_1))))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))->hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_1)),B_1)))).
% 61.30/61.00 all X_a V_1 Va (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),V_1),Va)),nil(X_a))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),V_1),Va)).
% 61.30/61.00 all X_b X_a F1 F2 (hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a)),list_case(X_a,X_b),F1),F2),nil(X_b))=ti(X_a,F1)).
% 61.30/61.00 all X_b X_a F1 F2 Aa List (hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a)),list_case(X_a,X_b),F1),F2),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Aa),List))=hAPP(list(X_b),X_a,hAPP(X_b,fun(list(X_b),X_a),F2,Aa),List)).
% 61.30/61.00 all X_a X_b Pa ((exists X1 hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,X1)))<-> (exists A_5 B_2 hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2))))).
% 61.30/61.00 all X_a X_b X_c X_d X_e X_f X_1 Pa ((all A_5 B_2 C_2 D_3 E F_1 hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),bool,Pa,hAPP(product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),A_5),hAPP(product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),hAPP(X_b,fun(product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),product_Pair(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),B_2),hAPP(product_prod(X_d,product_prod(X_e,X_f)),product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),hAPP(X_c,fun(product_prod(X_d,product_prod(X_e,X_f)),product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_Pair(X_c,product_prod(X_d,product_prod(X_e,X_f))),C_2),hAPP(product_prod(X_e,X_f),product_prod(X_d,product_prod(X_e,X_f)),hAPP(X_d,fun(product_prod(X_e,X_f),product_prod(X_d,product_prod(X_e,X_f))),product_Pair(X_d,product_prod(X_e,X_f)),D_3),hAPP(X_f,product_prod(X_e,X_f),hAPP(X_e,fun(X_f,product_prod(X_e,X_f)),product_Pair(X_e,X_f),E),F_1))))))))->hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),bool,Pa,X_1))).
% 61.30/61.00 all X_a X Xs Y Ys_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),Xs),Ys_1)))).
% 61.30/61.00 all X_a Ys_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),nil(X_a)),Ys_1)=Ys_1).
% 61.30/61.00 all X_a Xs (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),Xs),nil(X_a))=Xs).
% 61.30/61.00 all X_a X_b X_1 F A_2 B_1 (hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))->hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_1)),hAPP(X_a,fun(X_b,bool),B_1,X_1))))).
% 61.30/61.00 all X_a X_b X_c X_d X_e X_f Y (-(all A_5 B_2 C_2 D_3 E F_1 (ti(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),Y)!=hAPP(product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),A_5),hAPP(product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),hAPP(X_b,fun(product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),product_Pair(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),B_2),hAPP(product_prod(X_d,product_prod(X_e,X_f)),product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),hAPP(X_c,fun(product_prod(X_d,product_prod(X_e,X_f)),product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_Pair(X_c,product_prod(X_d,product_prod(X_e,X_f))),C_2),hAPP(product_prod(X_e,X_f),product_prod(X_d,product_prod(X_e,X_f)),hAPP(X_d,fun(product_prod(X_e,X_f),product_prod(X_d,product_prod(X_e,X_f))),product_Pair(X_d,product_prod(X_e,X_f)),D_3),hAPP(X_f,product_prod(X_e,X_f),hAPP(X_e,fun(X_f,product_prod(X_e,X_f)),product_Pair(X_e,X_f),E),F_1)))))))).
% 61.30/61.00 all X_a X_b X_c X_d X_e Y (-(all A_5 B_2 C_2 D_3 E (ti(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),Y)!=hAPP(product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),A_5),hAPP(product_prod(X_c,product_prod(X_d,X_e)),product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),hAPP(X_b,fun(product_prod(X_c,product_prod(X_d,X_e)),product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),product_Pair(X_b,product_prod(X_c,product_prod(X_d,X_e))),B_2),hAPP(product_prod(X_d,X_e),product_prod(X_c,product_prod(X_d,X_e)),hAPP(X_c,fun(product_prod(X_d,X_e),product_prod(X_c,product_prod(X_d,X_e))),product_Pair(X_c,product_prod(X_d,X_e)),C_2),hAPP(X_e,product_prod(X_d,X_e),hAPP(X_d,fun(X_e,product_prod(X_d,X_e)),product_Pair(X_d,X_e),D_3),E))))))).
% 61.30/61.00 all X_a X_b X_c X_d X_e X_1 Pa ((all A_5 B_2 C_2 D_3 E hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),bool,Pa,hAPP(product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),A_5),hAPP(product_prod(X_c,product_prod(X_d,X_e)),product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),hAPP(X_b,fun(product_prod(X_c,product_prod(X_d,X_e)),product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),product_Pair(X_b,product_prod(X_c,product_prod(X_d,X_e))),B_2),hAPP(product_prod(X_d,X_e),product_prod(X_c,product_prod(X_d,X_e)),hAPP(X_c,fun(product_prod(X_d,X_e),product_prod(X_c,product_prod(X_d,X_e))),product_Pair(X_c,product_prod(X_d,X_e)),C_2),hAPP(X_e,product_prod(X_d,X_e),hAPP(X_d,fun(X_e,product_prod(X_d,X_e)),product_Pair(X_d,X_e),D_3),E)))))))->hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),bool,Pa,X_1))).
% 61.30/61.00 all X_b X_a F B_1 A_2 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_2))->hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(X_a,fun(X_b,bool),B_1,X_2)))))->hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))).
% 61.30/61.00 all X_a X_b X_c X_d Y (-(all A_5 B_2 C_2 D_3 (ti(product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),Y)!=hAPP(product_prod(X_b,product_prod(X_c,X_d)),product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,X_d)),product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d)))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,X_d))),A_5),hAPP(product_prod(X_c,X_d),product_prod(X_b,product_prod(X_c,X_d)),hAPP(X_b,fun(product_prod(X_c,X_d),product_prod(X_b,product_prod(X_c,X_d))),product_Pair(X_b,product_prod(X_c,X_d)),B_2),hAPP(X_d,product_prod(X_c,X_d),hAPP(X_c,fun(X_d,product_prod(X_c,X_d)),product_Pair(X_c,X_d),C_2),D_3)))))).
% 61.30/61.00 all X_a X_b X_c X_d X_1 Pa ((all A_5 B_2 C_2 D_3 hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),bool,Pa,hAPP(product_prod(X_b,product_prod(X_c,X_d)),product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,X_d)),product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d)))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,X_d))),A_5),hAPP(product_prod(X_c,X_d),product_prod(X_b,product_prod(X_c,X_d)),hAPP(X_b,fun(product_prod(X_c,X_d),product_prod(X_b,product_prod(X_c,X_d))),product_Pair(X_b,product_prod(X_c,X_d)),B_2),hAPP(X_d,product_prod(X_c,X_d),hAPP(X_c,fun(X_d,product_prod(X_c,X_d)),product_Pair(X_c,X_d),C_2),D_3))))))->hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),bool,Pa,X_1))).
% 61.30/61.00 all X_a X_b X_c Y (-(all A_5 B_2 C_2 (ti(product_prod(X_a,product_prod(X_b,X_c)),Y)!=hAPP(product_prod(X_b,X_c),product_prod(X_a,product_prod(X_b,X_c)),hAPP(X_a,fun(product_prod(X_b,X_c),product_prod(X_a,product_prod(X_b,X_c))),product_Pair(X_a,product_prod(X_b,X_c)),A_5),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),B_2),C_2))))).
% 61.30/61.00 all X_a X_b X_c X_1 Pa ((all A_5 B_2 C_2 hBOOL(hAPP(product_prod(X_a,product_prod(X_b,X_c)),bool,Pa,hAPP(product_prod(X_b,X_c),product_prod(X_a,product_prod(X_b,X_c)),hAPP(X_a,fun(product_prod(X_b,X_c),product_prod(X_a,product_prod(X_b,X_c))),product_Pair(X_a,product_prod(X_b,X_c)),A_5),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),B_2),C_2)))))->hBOOL(hAPP(product_prod(X_a,product_prod(X_b,X_c)),bool,Pa,X_1))).
% 61.30/61.00 all X_b X_a F B_1 A_2 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_2))->hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_2)),B_1))))->hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),hAPP(fun(X_b,bool),fun(X_a,fun(X_b,bool)),combk(fun(X_b,bool),X_a),B_1))))).
% 61.30/61.00 all X_b X_a F B_1 A_2 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_2))->hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(X_a,fun(X_b,bool),B_1,X_2)))))->hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))).
% 61.30/61.00 all X_b X_a B_1 F G A_2 ((all W (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),W),A_2))->hAPP(X_a,X_b,F,W)=hAPP(X_a,X_b,G,W)))-> (hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))<->hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),G),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))))).
% 61.30/61.00 all X_a X_b P_2 (-(all X_2 Y_2 (ti(product_prod(X_a,X_b),P_2)!=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Y_2)))).
% 61.30/61.00 all X_a X_b Y (-(all A_5 B_2 (ti(product_prod(X_a,X_b),Y)!=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2)))).
% 61.30/61.00 all X_a X_b S_2 R_2 ((all X_2 Xa (hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Xa)),R_2))<->hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Xa)),S_2))))<->ti(fun(product_prod(X_a,X_b),bool),R_2)=ti(fun(product_prod(X_a,X_b),bool),S_2)).
% 61.30/61.00 all X_b X_c X_a Ca Aa Ba (hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),produc1605651328_split(X_b,X_c,X_a),Ca),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))=hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),Ca,Aa),Ba)).
% 61.30/61.00 all X_a X (hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X),nil(X_a))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a))).
% 61.30/61.00 all X_a Pa Xs_1 (Xs_1!=nil(X_a)-> ((all X_2 hBOOL(hAPP(list(X_a),bool,Pa,hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),nil(X_a)))))-> ((all X_2 Xs_2 (Xs_2!=nil(X_a)-> (hBOOL(hAPP(list(X_a),bool,Pa,Xs_2))->hBOOL(hAPP(list(X_a),bool,Pa,hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2))))))->hBOOL(hAPP(list(X_a),bool,Pa,Xs_1))))).
% 61.30/61.00 all X_a X_b F G ((all X_2 (hAPP(X_a,X_b,F,X_2)=hAPP(X_a,X_b,G,X_2)))->ti(fun(X_a,X_b),F)=ti(fun(X_a,X_b),G)).
% 61.30/61.00 all X_a X_1 A_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))<->hBOOL(hAPP(X_a,bool,A_2,X_1))).
% 61.30/61.00 all X_a Pa (hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),Pa)=ti(fun(X_a,bool),Pa)).
% 61.30/61.00 all X_b X_a F1 F2 (hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a)),list_rec(X_a,X_b),F1),F2),nil(X_b))=ti(X_a,F1)).
% 61.30/61.00 all X_b X_a F1 F2 Aa List (hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a)),list_rec(X_a,X_b),F1),F2),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Aa),List))=hAPP(X_a,X_a,hAPP(list(X_b),fun(X_a,X_a),hAPP(X_b,fun(list(X_b),fun(X_a,X_a)),F2,Aa),List),hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a)),list_rec(X_a,X_b),F1),F2),List))).
% 61.30/61.00 all X_b X_c X_a X_2 Xa Xb_1 (hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),hAPP(fun(product_prod(X_a,X_b),X_c),fun(X_a,fun(X_b,X_c)),product_curry(X_a,X_b,X_c),X_2),Xa),Xb_1)=hAPP(product_prod(X_a,X_b),X_c,X_2,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa),Xb_1))).
% 61.30/61.00 all X_a X_b F Aa Ba (hBOOL(hAPP(product_prod(X_a,X_b),bool,F,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),product_curry(X_a,X_b,bool),F),Aa),Ba))).
% 61.30/61.00 all X_b X_a F Aa Ba (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),product_curry(X_a,X_b,bool),F),Aa),Ba))->hBOOL(hAPP(product_prod(X_a,X_b),bool,F,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)))).
% 61.30/61.00 all X_b X_a F Aa Ba (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),product_curry(X_a,X_b,bool),F),Aa),Ba))->hBOOL(hAPP(product_prod(X_a,X_b),bool,F,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)))).
% 61.30/61.00 all X_a X Xs (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X),Xs)))).
% 61.30/61.00 all X_c X_a X_b F Aa Ba (hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),hAPP(fun(product_prod(X_b,X_c),X_a),fun(X_b,fun(X_c,X_a)),product_curry(X_b,X_c,X_a),F),Aa),Ba)=hAPP(product_prod(X_b,X_c),X_a,F,hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))).
% 61.30/61.00 all X_b hBOOL(hAPP(list(X_b),bool,null(X_b),nil(X_b))).
% 61.30/61.00 all X_a Xs_1 (hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1))<->Xs_1=nil(X_a)).
% 61.30/61.00 all X_a Xs_1 (Xs_1=nil(X_a)<->hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1))).
% 61.30/61.00 all X_a X Xs (-hBOOL(hAPP(list(X_a),bool,null(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)))).
% 61.30/61.00 arrow_301600364e_Prof=hAPP(fun(arrow_1998540521e_indi,fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(arrow_1998540521e_indi,bool),fun(fun(arrow_1998540521e_indi,fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),top_top(fun(arrow_1998540521e_indi,bool))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),arrow_1998540521e_indi),arrow_1568854078le_Lin)).
% 61.30/61.00 all X_a Aa X_1 Ba Y_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),X_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Ba),Y_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))<->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),R_1))|ti(X_a,Aa)=ti(X_a,Ba)&hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))).
% 61.30/61.00 all X_b X_a F (hAPP(list(X_b),list(X_a),hAPP(fun(X_b,list(X_a)),fun(list(X_b),list(X_a)),maps(X_b,X_a),F),nil(X_b))=nil(X_a)).
% 61.30/61.00 all X_a (linorder(X_a)-> (all X hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a)))))).
% 61.30/61.00 all X_a Xs (Xs!=nil(X_a)-> (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))))).
% 61.30/61.00 all X_a X Xs ((Xs=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=ti(X_a,X))& (Xs!=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),X_a,last(X_a),Xs))).
% 61.30/61.00 all X_a X_1 hBOOL(hAPP(X_a,bool,top_top(fun(X_a,bool)),X_1)).
% 61.30/61.00 all X_a (linorder(X_a)->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),nil(X_a)))).
% 61.30/61.00 all X_a (linorder(X_a)-> (all Xs (Xs!=nil(X_a)-> (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))))))).
% 61.30/61.00 all X_a X_b A_2 (hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),hAPP(fun(X_b,bool),fun(X_a,fun(X_b,bool)),combk(fun(X_b,bool),X_a),top_top(fun(X_b,bool))))=top_top(fun(fun(X_a,X_b),bool))).
% 61.30/61.00 all X_a (hAPP(list(X_a),list(X_a),butlast(X_a),nil(X_a))=nil(X_a)).
% 61.30/61.00 all X_a X_1 R_1 (-hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))).
% 61.30/61.00 all X_a X Xs ((Xs=nil(X_a)->hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=nil(X_a))& (Xs!=nil(X_a)->hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),butlast(X_a),Xs)))).
% 61.30/61.00 all X_a X Xs (Xs=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=ti(X_a,X)).
% 61.30/61.00 all X_a X Xs (Xs!=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),X_a,last(X_a),Xs)).
% 61.30/61.00 all X_a Y_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))<-> (exists A_5 X_2 (Y_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_5),X_2)))).
% 61.30/61.00 all X_a X_1 Y_1 R_1 ((all A_5 B_2 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A_5),B_2)),R_1))|ti(X_a,A_5)=ti(X_a,B_2)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),B_2),A_5)),R_1))))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|X_1=Y_1|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Y_1),X_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))).
% 61.30/61.00 all X_a Xs_1 R_1 ((all X_2 (-hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),X_2)),R_1))))-> -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))).
% 61.30/61.00 all X_a X_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),top_top(fun(X_a,bool)))).
% 61.30/61.00 all X_a X_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),top_top(fun(X_a,bool)))).
% 61.30/61.00 all X_b X_a (top(X_a)-> (all X_1 (hAPP(X_b,X_a,top_top(fun(X_b,X_a)),X_1)=top_top(X_a)))).
% 61.30/61.00 all X_a Xs_1 (Xs_1!=nil(X_a)-> (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),hAPP(list(X_a),X_a,last(X_a),Xs_1)))),Xs_1)=hAPP(list(X_a),list(X_a),butlast(X_a),Xs_1))).
% 61.30/61.00 all X_a Xs_1 (hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),e_qual_e_qual(list(X_a)),Xs_1),nil(X_a)))<->hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1))).
% 61.30/61.00 all X_a Pa (hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),nil(X_a))=hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),nil(X_a))).
% 61.30/61.00 all X_a Xs (Xs!=nil(X_a)->hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(list(X_a),X_a,last(X_a),Xs)),nil(X_a)))=Xs).
% 61.30/61.00 all X_a Xs_1 L_1 Pa X_1 (-hBOOL(hAPP(X_a,bool,Pa,X_1))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),L_1)))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)).
% 61.30/61.00 all X_a Ys_1 Us_2 Xs Xs1 Zs_2 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Xs1)=Zs_2-> (Ys_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs1),Us_2)->hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_2),Us_2))).
% 61.30/61.00 all X_a Ys Xs_1 Zs_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Xs_1)<->Ys=Zs_1).
% 61.30/61.00 all X_a Xs_1 Ys Zs_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Zs_1)<->Ys=Zs_1).
% 61.30/61.00 all X_a Xs_1 Ys Zs_1 Ts (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Ts)<-> (exists Us (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Us)&hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us),Ys)=Ts|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us)=Zs_1&Ys=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us),Ts)))).
% 61.30/61.00 all X_a Xs Ys_1 Zs_2 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),Zs_2)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1),Zs_2))).
% 61.30/61.00 all X_a X_1 Y_1 (hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),e_qual_e_qual(list(X_a)),X_1),Y_1))<->X_1=Y_1).
% 61.30/61.00 all X_a X Xs Ys_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),Ys_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))).
% 61.30/61.00 all X_a Xs Zs_2 X Xs1 Ys_1 (hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs1)=Ys_1-> (Xs=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs1),Zs_2)->hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1),Zs_2))).
% 61.30/61.00 all X_a Ys_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),nil(X_a)),Ys_1)=Ys_1).
% 61.30/61.00 all X_a Xs_1 Ys (nil(X_a)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)<->Xs_1=nil(X_a)&Ys=nil(X_a)).
% 61.30/61.00 all X_a Xs (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),nil(X_a))=Xs).
% 61.30/61.00 all X_a Xs_1 Ys (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)<->Ys=nil(X_a)).
% 61.30/61.00 all X_a Ys Xs_1 (Ys=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)<->Xs_1=nil(X_a)).
% 61.30/61.00 all X_a Xs_1 Ys (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=nil(X_a)<->Xs_1=nil(X_a)&Ys=nil(X_a)).
% 61.30/61.00 all X_a Xs_1 Ys (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=Xs_1<->Ys=nil(X_a)).
% 61.30/61.00 all X_a Xs_1 Ys (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=Ys<->Xs_1=nil(X_a)).
% 61.30/61.00 all X_a Xs Ys_1 (Xs=Ys_1->Xs=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),nil(X_a)),Ys_1)).
% 61.30/61.00 all X_a Pa (hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),nil(X_a))=nil(X_a)).
% 61.30/61.00 all X_a Pa Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))->hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)))).
% 61.30/61.00 all X_a (linorder(X_a)-> (all Pa Xs_1 (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)))))).
% 61.30/61.00 all X_a Ys Zs_1 X_1 Xs_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)<->Ys=nil(X_a)&Zs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)| (exists Ys_3 (Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Ys_3)&hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_3),Zs_1)=Xs_1))).
% 61.30/61.00 all X_a X_1 Xs_1 Ys Zs_1 (hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)<->Ys=nil(X_a)&hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)=Zs_1| (exists Ys_3 (hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Ys_3)=Ys&Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_3),Zs_1)))).
% 61.30/61.00 all X_a Xs_1 X_1 Ys Y_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a)))<->Xs_1=Ys&ti(X_a,X_1)=ti(X_a,Y_1)).
% 61.30/61.00 all X_a Xs Ys_1 ((Ys_1=nil(X_a)->hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),butlast(X_a),Xs))& (Ys_1!=nil(X_a)->hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),butlast(X_a),Ys_1)))).
% 61.30/61.00 all X_a Xs Ys_1 (Ys_1=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,last(X_a),Xs)).
% 61.30/61.00 all X_a Xs Ys_1 (Ys_1!=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,last(X_a),Ys_1)).
% 61.30/61.00 all X_a Xs Ys_1 ((Ys_1=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,last(X_a),Xs))& (Ys_1!=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,last(X_a),Ys_1))).
% 61.30/61.00 all X_a X_1 U V R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),U),V)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),U)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),V))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))).
% 61.30/61.00 all X_a Xs_1 Pa X_1 ((hBOOL(hAPP(X_a,bool,Pa,X_1))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)))& (-hBOOL(hAPP(X_a,bool,Pa,X_1))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=nil(X_a))).
% 61.30/61.00 all X_b X_a F X_1 Xs_1 (hAPP(list(X_b),list(X_a),hAPP(fun(X_b,list(X_a)),fun(list(X_b),list(X_a)),maps(X_b,X_a),F),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),X_1),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_b,list(X_a),F,X_1)),hAPP(list(X_b),list(X_a),hAPP(fun(X_b,list(X_a)),fun(list(X_b),list(X_a)),maps(X_b,X_a),F),Xs_1))).
% 61.30/61.00 all X_a Xs X (hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a))))=Xs).
% 61.30/61.00 all X_a Xs X (hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a))))=ti(X_a,X)).
% 61.30/61.00 all X_a (top_top(fun(X_a,bool))=hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(bool,fun(X_a,bool),combk(bool,X_a),fTrue))).
% 61.30/61.00 all X_a U X_1 Y_1 Aa Ba R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),R_1))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),U),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),X_1))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),U),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Ba),Y_1)))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))).
% 61.30/61.00 all X_a Xs_1 X_1 Ys (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))=Ys<->Ys!=nil(X_a)&hAPP(list(X_a),list(X_a),butlast(X_a),Ys)=Xs_1&hAPP(list(X_a),X_a,last(X_a),Ys)=ti(X_a,X_1)).
% 61.30/61.00 all X_a X_1 R_1 Y_1 ((exists B_2 Z (Y_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),B_2),Z)))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),Y_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))).
% 61.30/61.00 all X_a X_1 U V R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),U)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),V))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))-> ((all A_5 (-hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A_5),A_5)),R_1))))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),U),V)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))))).
% 61.30/61.00 all X_a Xs_1 Pa (hBOOL(hAPP(list(X_a),bool,Pa,nil(X_a)))-> ((all X_2 Xs_2 (hBOOL(hAPP(list(X_a),bool,Pa,Xs_2))->hBOOL(hAPP(list(X_a),bool,Pa,hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),nil(X_a)))))))->hBOOL(hAPP(list(X_a),bool,Pa,Xs_1)))).
% 61.30/61.00 all X_a Xs (Xs!=nil(X_a)-> -(all Ys_2 Y_2 (Xs!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),nil(X_a)))))).
% 61.30/61.00 all X_a Xs_1 X_1 Ys Y_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))<->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))&ti(X_a,X_1)=ti(X_a,Y_1)|Xs_1=Ys&hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))).
% 61.30/61.00 all X_a Xs_1 (hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),list(X_a)),hAPP(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),list(X_a))),list_case(list(X_a),X_a),nil(X_a)),hAPP(fun(X_a,list(X_a)),fun(X_a,fun(list(X_a),list(X_a))),hAPP(fun(list(X_a),fun(list(X_a),list(X_a))),fun(fun(X_a,list(X_a)),fun(X_a,fun(list(X_a),list(X_a)))),combb(list(X_a),fun(list(X_a),list(X_a)),X_a),hAPP(fun(list(X_a),fun(list(X_a),list(X_a))),fun(list(X_a),fun(list(X_a),list(X_a))),combc(list(X_a),list(X_a),list(X_a)),append(X_a))),hAPP(list(X_a),fun(X_a,list(X_a)),hAPP(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),fun(X_a,list(X_a))),combc(X_a,list(X_a),list(X_a)),cons(X_a)),nil(X_a)))),Xs_1)).
% 61.30/61.00 all X_b X_a X Xs (hAPP(list(X_a),list(X_a),rotate1(X_a),nil(X_a))=nil(X_a)&hAPP(list(X_b),list(X_b),rotate1(X_b),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),X),Xs))=hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Xs),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),X),nil(X_b)))).
% 61.30/61.00 all X_a exists X_2 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),top_top(fun(X_a,bool)))).
% 61.30/61.00 all X_a A_2 ((all X_2 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_2)))->top_top(fun(X_a,bool))=ti(fun(X_a,bool),A_2)).
% 61.30/61.00 all X_a Xs_1 (hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1)=nil(X_a)<->Xs_1=nil(X_a)).
% 61.30/61.00 all X_a Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1)))<->hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))).
% 61.30/61.00 all X_a X_1 Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.30/61.00 all X_a Xs_1 R_1 (-hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.30/61.00 all X_a Xs_1 R_1 (-hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.30/61.00 all X_a Us_1 Vs_1 Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))&Us_1=Vs_1|Xs_1=Ys&hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Us_1),Vs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us_1)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Vs_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.30/61.00 all X_a X_1 Xs_1 Y_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))<->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))&Xs_1=Ys|ti(X_a,X_1)=ti(X_a,Y_1)&hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.30/61.00 all X_a Xs_1 X_1 Y_1 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Xs_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.30/61.00 all X_a Ys Xs_1 Us_1 Vs_1 X_1 Y_1 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))-> (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Vs_1))-> (Ys=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Vs_1))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))))).
% 61.30/61.00 all X_a Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))-> -(all X_2 Y_2 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),Y_2)),R_1))-> (all Us Vs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Vs))->Ys!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Vs))))))).
% 61.30/61.00 all X_a X_1 Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))-> ((all Y_2 (Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Xs_1)-> -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_2)),R_1))))-> -(all Zs (Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs)-> -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Zs)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))))).
% 61.30/61.00 all X_a Xs_1 Y_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))-> ((all X_2 (Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Ys)-> -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),Y_1)),R_1))))-> -(all Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Zs)-> -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Zs),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))))).
% 61.30/61.00 arrow_1568854078le_Lin=hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),collect(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_2142409994le_alt,bool),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),order_215145569der_on(arrow_2142409994le_alt),top_top(fun(arrow_2142409994le_alt,bool)))).
% 61.30/61.00 all X_a Pa Xs_1 Y_1 Ys (hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)<->Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))& -hBOOL(hAPP(X_a,bool,Pa,Y_1))).
% 61.30/61.00 all X_a Xs_1 R_1 (-hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))).
% 61.30/61.00 all X_a Ys R_1 (-hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))).
% 61.30/61.00 all X_a Pa X_1 Xs_1 (hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))),product_prod_case(list(X_a),list(X_a),product_prod(list(X_a),list(X_a))),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))))),combs(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),fun(list(X_a),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a))))),hAPP(fun(fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),fun(list(X_a),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a)))))),combb(fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a)))),list(X_a)),combs(list(X_a),product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),hAPP(fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))))),combb(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),list(X_a)),hAPP(fun(product_prod(list(X_a),list(X_a)),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),combb(product_prod(list(X_a),list(X_a)),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))),list(X_a)),hAPP(bool,fun(product_prod(list(X_a),list(X_a)),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),if(product_prod(list(X_a),list(X_a))),hAPP(X_a,bool,Pa,X_1)))),hAPP(fun(list(X_a),list(X_a)),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(fun(list(X_a),list(X_a)),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))))),combb(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),list(X_a)),product_Pair(list(X_a),list(X_a))),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1))))),hAPP(fun(list(X_a),list(X_a)),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),list(X_a)),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))))),combc(list(X_a),fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a))))),hAPP(fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a)))))),combb(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a)))),list(X_a)),combb(list(X_a),product_prod(list(X_a),list(X_a)),list(X_a))),product_Pair(list(X_a),list(X_a)))),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1)))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),Xs_1))).
% 61.30/61.00 all X_b X_c X_a X_d X_e F G P_1 (hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),F),hAPP(product_prod(X_d,X_e),product_prod(X_b,X_c),hAPP(fun(X_d,fun(X_e,product_prod(X_b,X_c))),fun(product_prod(X_d,X_e),product_prod(X_b,X_c)),product_prod_case(X_d,X_e,product_prod(X_b,X_c)),G),P_1))=hAPP(product_prod(X_d,X_e),X_a,hAPP(fun(X_d,fun(X_e,X_a)),fun(product_prod(X_d,X_e),X_a),product_prod_case(X_d,X_e,X_a),hAPP(fun(X_d,fun(X_e,product_prod(X_b,X_c))),fun(X_d,fun(X_e,X_a)),hAPP(fun(fun(X_e,product_prod(X_b,X_c)),fun(X_e,X_a)),fun(fun(X_d,fun(X_e,product_prod(X_b,X_c))),fun(X_d,fun(X_e,X_a))),combb(fun(X_e,product_prod(X_b,X_c)),fun(X_e,X_a),X_d),hAPP(fun(product_prod(X_b,X_c),X_a),fun(fun(X_e,product_prod(X_b,X_c)),fun(X_e,X_a)),combb(product_prod(X_b,X_c),X_a,X_e),hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),F))),G)),P_1)).
% 61.30/61.00 all X_c X_a X_b Ca P_1 Q_2 (ti(product_prod(X_a,X_b),P_1)=ti(product_prod(X_a,X_b),Q_2)->hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),Ca),P_1)=hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),Ca),Q_2)).
% 61.30/61.00 all X_b X_c X_a F1 Aa Ba (hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),F1),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))=hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),F1,Aa),Ba)).
% 61.30/61.00 all X_b X_c X_a F Aa Ba (hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),F),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))=hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),F,Aa),Ba)).
% 61.30/61.00 all X_a Xs_1 Pa X_1 ((hBOOL(hAPP(X_a,bool,Pa,X_1))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))& (-hBOOL(hAPP(X_a,bool,Pa,X_1))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))).
% 61.30/61.00 all X_a Pa (hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),nil(X_a))=nil(X_a)).
% 61.30/61.00 all X_a Pa Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))->hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)))).
% 61.30/61.00 all X_a (linorder(X_a)-> (all Pa Xs_1 (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)))))).
% 61.30/61.00 all X_a X_b X_c F (hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,X_c)),hAPP(fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,X_c)),fun(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,X_c))),combb(fun(X_b,product_prod(X_a,X_b)),fun(X_b,X_c),X_a),hAPP(fun(product_prod(X_a,X_b),X_c),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,X_c)),combb(product_prod(X_a,X_b),X_c,X_b),F)),product_Pair(X_a,X_b)))=ti(fun(product_prod(X_a,X_b),X_c),F)).
% 61.30/61.00 all X_a X_b X_c F (hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),hAPP(fun(product_prod(X_a,X_b),X_c),fun(X_a,fun(X_b,X_c)),product_curry(X_a,X_b,X_c),F))=ti(fun(product_prod(X_a,X_b),X_c),F)).
% 61.30/61.00 all X_a X_b X_c F (hAPP(fun(product_prod(X_a,X_b),X_c),fun(X_a,fun(X_b,X_c)),product_curry(X_a,X_b,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),F))=ti(fun(X_a,fun(X_b,X_c)),F)).
% 61.30/61.00 all X_a X_b X_c (produc1605651328_split(X_a,X_b,X_c)=product_prod_case(X_a,X_b,X_c)).
% 61.30/61.00 all X_a Pa Xs_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))=Xs_1).
% 61.30/61.00 all X_b X_c X_a F G ((all X_2 Y_2 (hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),F,X_2),Y_2)=hAPP(product_prod(X_a,X_b),X_c,G,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Y_2))))->hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),F)=ti(fun(product_prod(X_a,X_b),X_c),G)).
% 61.30/61.00 all X_a X_b X_c Q_1 Pa Z_2 (hBOOL(hAPP(X_a,bool,Q_1,hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),Pa),Z_2)))-> -(all X_2 Y_2 (ti(product_prod(X_b,X_c),Z_2)=hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),X_2),Y_2)-> -hBOOL(hAPP(X_a,bool,Q_1,hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),Pa,X_2),Y_2)))))).
% 61.30/61.00 all X_c X_b X_a P_1 F G Q_2 ((all X_2 Y_2 (hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Y_2)=ti(product_prod(X_a,X_b),Q_2)->hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),F,X_2),Y_2)=hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),G,X_2),Y_2)))-> (ti(product_prod(X_a,X_b),P_1)=ti(product_prod(X_a,X_b),Q_2)->hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),F),P_1)=hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),G),Q_2))).
% 61.30/61.00 all X_a X_1 Xs_1 Y_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))<->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))&hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)|ti(X_a,X_1)=ti(X_a,Y_1)&hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))).
% 61.30/61.00 all X_a Ws_1 (-hBOOL(hAPP(list(X_a),bool,distinct(X_a),Ws_1))-> (exists Xs_2 Ys_2 Zs Y_2 (Ws_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_2),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),nil(X_a))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),nil(X_a))),Zs))))))).
% 61.30/61.00 all X_a Xs_1 Ys X_1 Y_1 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))-> (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))))).
% 61.30/61.00 all X_a Xs_1 Ys (hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),list(X_a)),hAPP(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),list(X_a))),list_case(list(X_a),X_a),hAPP(list(X_a),list(X_a),tl(X_a),Ys)),hAPP(fun(list(X_a),list(X_a)),fun(X_a,fun(list(X_a),list(X_a))),combk(fun(list(X_a),list(X_a)),X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),hAPP(fun(list(X_a),fun(list(X_a),list(X_a))),fun(list(X_a),fun(list(X_a),list(X_a))),combc(list(X_a),list(X_a),list(X_a)),append(X_a)),Ys))),Xs_1)).
% 61.30/61.00 all X_a (cl_HOL_Oe_qual(X_a)->e_qual_e_qual(X_a)=fe_qual(X_a)).
% 61.30/61.00 all X_b X_a F Aa Ba (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),F,Aa),Ba))->hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),F),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)))).
% 61.30/61.00 all X_b X_a F1 Aa Ba (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),F1,Aa),Ba))->hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),F1),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)))).
% 61.30/61.00 all X_a X_c X_b Z_2 Ca Aa Ba (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(X_c,fun(X_a,bool),hAPP(X_b,fun(X_c,fun(X_a,bool)),Ca,Aa),Ba)))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(product_prod(X_b,X_c),fun(X_a,bool),hAPP(fun(X_b,fun(X_c,fun(X_a,bool))),fun(product_prod(X_b,X_c),fun(X_a,bool)),product_prod_case(X_b,X_c,fun(X_a,bool)),Ca),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))))).
% 61.30/61.00 all X_a Xs_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))->Xs_1=nil(X_a)).
% 61.39/61.00 all X_a Xs_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))->Xs_1=nil(X_a)).
% 61.39/61.00 all X_a Xs Ys_1 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)->Xs!=Ys_1).
% 61.39/61.00 all X_a Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)).
% 61.39/61.00 all X_a X_b F Aa Ba (hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),F),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),F,Aa),Ba))).
% 61.39/61.00 all X_c X_a X_b R_2 Aa Ba Ca (hBOOL(hAPP(X_c,bool,hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),R_2),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)),Ca))->hBOOL(hAPP(X_c,bool,hAPP(X_b,fun(X_c,bool),hAPP(X_a,fun(X_b,fun(X_c,bool)),R_2,Aa),Ba),Ca))).
% 61.39/61.00 all X_a Xs (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),rotate1(X_a),Xs))=hAPP(list(X_a),nat,size_size(list(X_a)),Xs)).
% 61.39/61.00 all X_a X Xs (hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=Xs).
% 61.39/61.00 all X_a (hAPP(list(X_a),list(X_a),tl(X_a),nil(X_a))=nil(X_a)).
% 61.39/61.00 all X_a Xs (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),tl(X_a),Xs)))).
% 61.39/61.00 all X_a (linorder(X_a)-> (all Xs (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),tl(X_a),Xs)))))).
% 61.39/61.00 all X_a Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)).
% 61.39/61.00 all X_a R_1 hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.00 all X_a Ys_1 Xs (Xs!=nil(X_a)->hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),tl(X_a),Xs)),Ys_1)).
% 61.39/61.00 all X_a X_1 Y_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))<->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))&hAPP(list(X_a),nat,size_size(list(X_a)),X_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)).
% 61.39/61.00 all X_a (cl_HOL_Oe_qual(X_a)->fe_qual(X_a)=e_qual_e_qual(X_a)).
% 61.39/61.00 all X_a (cl_HOL_Oe_qual(X_a)-> (all X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),e_qual_e_qual(X_a),X_1),Y_1))<->ti(X_a,X_1)=ti(X_a,Y_1)))).
% 61.39/61.00 all X_a (cl_HOL_Oe_qual(X_a)-> (all X hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),e_qual_e_qual(X_a),X),X)))).
% 61.39/61.00 all X_a Xs_1 Y_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))-> -(all X_2 Xs_2 (Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),Y_1)),R_1))-> -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_2),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))))))).
% 61.39/61.00 all X_a Y_1 Ys Xs_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))-> -(all Y_2 Ys_2 (Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Y_1),Y_2)),R_1))-> -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),Ys_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))))))).
% 61.39/61.00 all X_a X_b Pa Xs_1 Ys (hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)-> (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,nil(X_a)),nil(X_b)))-> ((all X_2 Xs_2 Y_2 Ys_2 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs_2)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys_2)-> (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,Xs_2),Ys_2))->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_2),Ys_2))))))->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,Xs_1),Ys))))).
% 61.39/61.00 all X_a X_b Ca P_1 ((all A_5 B_2 (ti(product_prod(X_a,X_b),P_1)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2)->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Ca,A_5),B_2))))->hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Ca),P_1))).
% 61.39/61.00 all X_a X_b Ca P_1 (hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Ca),P_1))-> -(all X_2 Y_2 (ti(product_prod(X_a,X_b),P_1)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Y_2)-> -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Ca,X_2),Y_2))))).
% 61.39/61.00 all X_c X_a X_b Z_2 Ca P_1 ((all A_5 B_2 (ti(product_prod(X_a,X_b),P_1)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2)->hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),Z_2),hAPP(X_b,fun(X_c,bool),hAPP(X_a,fun(X_b,fun(X_c,bool)),Ca,A_5),B_2)))))->hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),Z_2),hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1)))).
% 61.39/61.00 all X_c X_b X_a Ca X_1 P_1 ((all A_5 B_2 (hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2)=ti(product_prod(X_a,X_b),P_1)->hBOOL(hAPP(X_c,bool,hAPP(X_b,fun(X_c,bool),hAPP(X_a,fun(X_b,fun(X_c,bool)),Ca,A_5),B_2),X_1))))->hBOOL(hAPP(X_c,bool,hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1),X_1))).
% 61.39/61.00 all X_a X_b X_c Z_2 Ca P_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(product_prod(X_b,X_c),fun(X_a,bool),hAPP(fun(X_b,fun(X_c,fun(X_a,bool))),fun(product_prod(X_b,X_c),fun(X_a,bool)),product_prod_case(X_b,X_c,fun(X_a,bool)),Ca),P_1)))-> -(all X_2 Y_2 (ti(product_prod(X_b,X_c),P_1)=hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),X_2),Y_2)-> -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(X_c,fun(X_a,bool),hAPP(X_b,fun(X_c,fun(X_a,bool)),Ca,X_2),Y_2)))))).
% 61.39/61.00 all X_a X_b Pa Q_1 X_2 (hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),hAPP(fun(X_a,fun(X_b,bool)),fun(X_a,fun(X_b,bool)),hAPP(fun(fun(X_b,bool),fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),fun(X_a,fun(X_b,bool))),combb(fun(X_b,bool),fun(X_b,bool),X_a),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),hAPP(bool,fun(bool,bool),fconj,Pa))),Q_1)),X_2))<->hBOOL(Pa)&hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Q_1),X_2))).
% 61.39/61.00 all X_c X_a X_b Ca P_1 Z_2 (hBOOL(hAPP(X_c,bool,hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1),Z_2))-> -(all X_2 Y_2 (ti(product_prod(X_a,X_b),P_1)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Y_2)-> -hBOOL(hAPP(X_c,bool,hAPP(X_b,fun(X_c,bool),hAPP(X_a,fun(X_b,fun(X_c,bool)),Ca,X_2),Y_2),Z_2))))).
% 61.39/61.00 all X_a R_1 X_2 Xa (hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),hAPP(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),hAPP(fun(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)))),combb(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),X_a),combc(X_a,fun(product_prod(X_a,X_a),bool),bool)),hAPP(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),hAPP(fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)))),combb(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),combb(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),X_a),member(product_prod(X_a,X_a)))),product_Pair(X_a,X_a)))),R_1)),X_2),Xa))<->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_2),Xa)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))).
% 61.39/61.00 all X_a Xs (Xs!=nil(X_a)->hAPP(list(X_a),list(X_a),rotate1(X_a),Xs)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),tl(X_a),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(list(X_a),X_a,hd(X_a),Xs)),nil(X_a)))).
% 61.39/61.00 all X_a A1 A2 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))<->A1=nil(X_a)&A2=nil(X_a)| (exists X_2 Y_2 Xs_2 Ys_2 (A1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)&A2=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)&hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),Y_2)),R_1))&hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_2),Ys_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))))).
% 61.39/61.00 all X_a Xs_1 Ys R_1 N_2 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(nat,fun(product_prod(list(X_a),list(X_a)),bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(nat,fun(product_prod(list(X_a),list(X_a)),bool)),lexn(X_a),R_1),N_2)))->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=N_2&hAPP(list(X_a),nat,size_size(list(X_a)),Ys)=N_2).
% 61.39/61.00 all X_a N exists Xs_2 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs_2)=N).
% 61.39/61.00 all X_a I_2 X (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),I_2),X)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a)))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),I_2),X))).
% 61.39/61.00 all X_a N X (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=N).
% 61.39/61.00 all X_a N X K (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),K),X))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),K),X)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))).
% 61.39/61.00 all X_a X Xs (hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=ti(X_a,X)).
% 61.39/61.00 all X_a N X Xs (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),Xs))).
% 61.39/61.00 all X_a Xs_1 Ys R_1 X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,X_1),Y_1))-> (hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),Xs_1),Ys))->hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))))).
% 61.39/61.00 all X_a R_1 hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),nil(X_a)),nil(X_a))).
% 61.39/61.00 all X_a Ys_1 Xs ((Xs=nil(X_a)->hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,hd(X_a),Ys_1))& (Xs!=nil(X_a)->hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,hd(X_a),Xs))).
% 61.39/61.00 all X_a Ys_1 Xs (Xs!=nil(X_a)->hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,hd(X_a),Xs)).
% 61.39/61.00 all X_a Pa Xs_1 (hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)!=nil(X_a)-> -hBOOL(hAPP(X_a,bool,Pa,hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))))).
% 61.39/61.00 all X_a R_1 A1 A2 (hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))<->A1=nil(X_a)&A2=nil(X_a)| (exists X_2 Y_2 Xs_2 Ys_2 (A1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)&A2=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)&hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,X_2),Y_2))&hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),Xs_2),Ys_2))))).
% 61.39/61.00 all X_a Xs (Xs!=nil(X_a)->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs))=hAPP(list(X_a),X_a,hd(X_a),Xs)).
% 61.39/61.00 all X_a Xs (Xs!=nil(X_a)->hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs))=hAPP(list(X_a),X_a,last(X_a),Xs)).
% 61.39/61.00 all X_a Pa Xs_1 (hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))),Xs_1)).
% 61.39/61.00 all X_a Xs X Ys_1 Y (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Ys_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),Y)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Ys_1))).
% 61.39/61.00 all X_b X_d X_a X_c F G (hAPP(fun(X_b,X_d),fun(product_prod(X_a,X_b),product_prod(X_c,X_d)),hAPP(fun(X_a,X_c),fun(fun(X_b,X_d),fun(product_prod(X_a,X_b),product_prod(X_c,X_d))),product_map_pair(X_a,X_c,X_b,X_d),F),G)=hAPP(fun(X_a,fun(X_b,product_prod(X_c,X_d))),fun(product_prod(X_a,X_b),product_prod(X_c,X_d)),product_prod_case(X_a,X_b,product_prod(X_c,X_d)),hAPP(fun(X_b,X_d),fun(X_a,fun(X_b,product_prod(X_c,X_d))),hAPP(fun(X_a,fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d)))),fun(fun(X_b,X_d),fun(X_a,fun(X_b,product_prod(X_c,X_d)))),combc(X_a,fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d))),hAPP(fun(X_a,fun(X_d,product_prod(X_c,X_d))),fun(X_a,fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d)))),hAPP(fun(fun(X_d,product_prod(X_c,X_d)),fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d)))),fun(fun(X_a,fun(X_d,product_prod(X_c,X_d))),fun(X_a,fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d))))),combb(fun(X_d,product_prod(X_c,X_d)),fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d))),X_a),combb(X_d,product_prod(X_c,X_d),X_b)),hAPP(fun(X_a,X_c),fun(X_a,fun(X_d,product_prod(X_c,X_d))),hAPP(fun(X_c,fun(X_d,product_prod(X_c,X_d))),fun(fun(X_a,X_c),fun(X_a,fun(X_d,product_prod(X_c,X_d)))),combb(X_c,fun(X_d,product_prod(X_c,X_d)),X_a),product_Pair(X_c,X_d)),F))),G))).
% 61.39/61.00 all X_a Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))).
% 61.39/61.00 all X_a Xs_1 R_1 hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))).
% 61.39/61.00 all X_a X_b X_2 (hAPP(product_prod(X_a,X_b),product_prod(X_a,X_b),hAPP(fun(X_b,X_b),fun(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(fun(X_a,X_a),fun(fun(X_b,X_b),fun(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_map_pair(X_a,X_a,X_b,X_b),combi(X_a)),combi(X_b)),X_2)=ti(product_prod(X_a,X_b),X_2)).
% 61.39/61.00 all X_a Xs X X_3 I_2 I_4 (I_2!=I_4->hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),I_4),X_3)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_4),X_3)),I_2),X)).
% 61.39/61.00 all X_a Xs I_2 X Y (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),I_2),Y)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),Y)).
% 61.39/61.00 all X_a Xs_1 Ys (hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=hAPP(list(X_a),list(X_a),rev(X_a),Ys)<->Xs_1=Ys).
% 61.39/61.00 all X_a Xs_1 Ys (hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=Ys<->Xs_1=hAPP(list(X_a),list(X_a),rev(X_a),Ys)).
% 61.39/61.00 all X_a Xs (hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs))=Xs).
% 61.39/61.00 all X_a R_1 (hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))=hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.00 all X_a N (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),nil(X_a))=nil(X_a)).
% 61.39/61.00 all X_a (hAPP(list(X_a),list(X_a),rev(X_a),nil(X_a))=nil(X_a)).
% 61.39/61.00 all X_a Xs_1 (nil(X_a)=hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)<->Xs_1=nil(X_a)).
% 61.39/61.00 all X_a Xs_1 (hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=nil(X_a)<->Xs_1=nil(X_a)).
% 61.39/61.00 all X_a Xs (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),rev(X_a),Xs))=hAPP(list(X_a),nat,size_size(list(X_a)),Xs)).
% 61.39/61.00 all X_a Xs Ys_1 (hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Ys_1)),hAPP(list(X_a),list(X_a),rev(X_a),Xs))).
% 61.39/61.00 all X_a I_2 Xs (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),Xs)))).
% 61.39/61.00 all X_a (linorder(X_a)-> (all N Xs (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)))))).
% 61.39/61.00 all X_a Xs_1 K_1 X_1 (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),K_1),X_1)=nil(X_a)<->Xs_1=nil(X_a)).
% 61.39/61.00 all X_a I_2 V_1 (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),nil(X_a)),I_2),V_1)=nil(X_a)).
% 61.39/61.00 all X_a I_2 Y (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),nil(X_a)),I_2),Y)=nil(X_a)).
% 61.39/61.00 all X_a Xs I_2 X (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X))=hAPP(list(X_a),nat,size_size(list(X_a)),Xs)).
% 61.39/61.00 all X_a Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)))<->hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))).
% 61.39/61.00 all X_a N X (hAPP(list(X_a),list(X_a),rev(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)).
% 61.39/61.00 all X_a N Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))=hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))).
% 61.39/61.00 all X_a N Xs (hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))).
% 61.39/61.00 all X_a N Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs))=hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))).
% 61.39/61.00 all X_a N Xs (hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs))).
% 61.39/61.00 all X_c X_d X_a X_b F G Aa Ba (hAPP(product_prod(X_c,X_d),product_prod(X_a,X_b),hAPP(fun(X_d,X_b),fun(product_prod(X_c,X_d),product_prod(X_a,X_b)),hAPP(fun(X_c,X_a),fun(fun(X_d,X_b),fun(product_prod(X_c,X_d),product_prod(X_a,X_b))),product_map_pair(X_c,X_a,X_d,X_b),F),G),hAPP(X_d,product_prod(X_c,X_d),hAPP(X_c,fun(X_d,product_prod(X_c,X_d)),product_Pair(X_c,X_d),Aa),Ba))=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),hAPP(X_c,X_a,F,Aa)),hAPP(X_d,X_b,G,Ba))).
% 61.39/61.00 all X_a Xs_1 Ys X_1 Y_1 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))))).
% 61.39/61.00 all X_a Xs_1 X_1 (hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))<->Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))).
% 61.39/61.00 all X_a X_1 Xs_1 (hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))=hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)<->Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))).
% 61.39/61.00 all X_a Zs_1 Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))-> (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))))).
% 61.39/61.00 all X_a X_1 Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Ys))),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))).
% 61.39/61.00 all X_a X_1 Y_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))->hAPP(list(X_a),nat,size_size(list(X_a)),X_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)).
% 61.39/61.00 all X_a X Xs (hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a)))).
% 61.39/61.00 all X_a Xs_1 Y_1 Ys (hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)<->Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Ys)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a)))).
% 61.39/61.00 all X_a Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))).
% 61.39/61.00 all X_a Aa R_1 hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Aa)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.00 all X_a P_1 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),P_1),R_1))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),P_1),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))).
% 61.39/61.00 all X_a Ca Aa Ba R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),R_1))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Ba),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))).
% 61.39/61.00 all X_a Ca Aa Ba R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Ba),Ca)),R_1))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))).
% 61.39/61.00 all X_a Ca Aa Ba R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Ba),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))).
% 61.39/61.00 all X_a X_1 Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),X_1))),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1))=hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),X_1))),Xs_1))))).
% 61.39/61.00 all X_a X_1 Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),X_1))),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),X_1))),Xs_1))))).
% 61.39/61.00 all X_a Y_1 X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Y_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))))->ti(X_a,Y_1)=ti(X_a,X_1)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Y_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))).
% 61.39/61.00 all X_a Xs_1 (hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1))=hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)).
% 61.39/61.00 all X_a X_1 N_2 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1))))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))).
% 61.39/61.00 all X_a Pa Xs_1 (hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=Xs_1<-> (all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,X_2))))).
% 61.39/61.00 all X_a X_1 Pa Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(X_a,bool,Pa,X_1))).
% 61.39/61.00 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs_1))))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))).
% 61.39/61.01 all X_a Xs_1 (hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1))=hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X_1),Xs_1)=Xs_1).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))<-> -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Ys Xs_1 (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))-> (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))-> (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Ys))-> (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Ys))-> (hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)=hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys)->Xs_1=Ys))))))).
% 61.39/61.01 all X_a Ys Pa X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (-hBOOL(hAPP(X_a,bool,Pa,X_1))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))).
% 61.39/61.01 all X_a As (As!=nil(X_a)->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),hAPP(list(X_a),X_a,last(X_a),As)),hAPP(list(X_a),fun(X_a,bool),set(X_a),As)))).
% 61.39/61.01 all X_a Pa Xs_1 (hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)=nil(X_a)<-> (all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,X_2))))).
% 61.39/61.01 all X_a Ys X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs_1))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Ys))))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)))))).
% 61.39/61.01 all X_a Xs_1 (Xs_1!=nil(X_a)->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),hAPP(list(X_a),X_a,hd(X_a),Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))).
% 61.39/61.01 all X_a Ys Pa X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (-hBOOL(hAPP(X_a,bool,Pa,X_1))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)),Ys))).
% 61.39/61.01 all X_a X_1 Xs_1 ((hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X_1),Xs_1)=Xs_1)& (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X_1),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))).
% 61.39/61.01 all X_a X_1 Xs_1 (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X_1),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)).
% 61.39/61.01 all X_a Pa Xs_1 Yes No (hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),Xs_1)=hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Yes),No)-> (all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Yes)))->hBOOL(hAPP(X_a,bool,Pa,X_2))))& (all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),No)))-> -hBOOL(hAPP(X_a,bool,Pa,X_2))))).
% 61.39/61.01 all X_a R_1 (hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))=hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)).
% 61.39/61.01 all X_a Zs_1 Ys R_1 Xs_1 ((all X_2 Y_2 Z (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),Y_2)),R_1))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Y_2),Z)),R_1))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),Z)),R_1))))))-> (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))-> (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))))).
% 61.39/61.01 all X_a Ys Pa Xs_1 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,X_2))))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Ys)).
% 61.39/61.01 all X_a Ys Pa Xs_1 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,X_2))))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Ys))).
% 61.39/61.01 all X_a Pa Xs_1 ((exists X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(X_a,bool,Pa,X_2))))-> -(all Ys_2 X_2 ((exists Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Zs))))-> -hBOOL(hAPP(X_a,bool,Pa,X_2))))).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))<-> (exists Ys_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs))& -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys_2)))))).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))<-> (exists Ys_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs))& -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Zs)))))).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))<-> (exists Ys_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs))))).
% 61.39/61.01 all X_a Q_1 Pa L_1 K_1 (L_1=K_1-> ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),L_1)))-> (hBOOL(hAPP(X_a,bool,Pa,X_2))<->hBOOL(hAPP(X_a,bool,Q_1,X_2)))))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),L_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Q_1),K_1))).
% 61.39/61.01 all X_a Q_1 Pa L_1 K_1 (L_1=K_1-> ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),L_1)))-> (hBOOL(hAPP(X_a,bool,Pa,X_2))<->hBOOL(hAPP(X_a,bool,Q_1,X_2)))))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),L_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Q_1),K_1))).
% 61.39/61.01 all X_a Pa Aa Ba R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (hBOOL(hAPP(X_a,bool,Pa,Aa))-> ((all Y_2 Z (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Y_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Y_2),Z)),R_1))-> (hBOOL(hAPP(X_a,bool,Pa,Y_2))->hBOOL(hAPP(X_a,bool,Pa,Z))))))->hBOOL(hAPP(X_a,bool,Pa,Ba))))).
% 61.39/61.01 all X_a Pa Aa Ba R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (hBOOL(hAPP(X_a,bool,Pa,Ba))-> ((all Y_2 Z (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Y_2),Z)),R_1))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Z),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (hBOOL(hAPP(X_a,bool,Pa,Z))->hBOOL(hAPP(X_a,bool,Pa,Y_2))))))->hBOOL(hAPP(X_a,bool,Pa,Aa))))).
% 61.39/61.01 all X_a X_1 Z_2 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Z_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (ti(X_a,X_1)!=ti(X_a,Z_2)-> -(all Y_2 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_2)),R_1))-> -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Y_2),Z_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))))).
% 61.39/61.01 all X_a Aa Ba R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> (ti(X_a,Aa)!=ti(X_a,Ba)-> -(all Y_2 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Y_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))-> -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Y_2),Ba)),R_1)))))).
% 61.39/61.01 all X_a Pa Xs_1 ((exists X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(X_a,bool,Pa,X_2))))-> -(all Ys_2 X_2 ((exists Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Zs))))-> (hBOOL(hAPP(X_a,bool,Pa,X_2))-> -(all Xa (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys_2)))-> -hBOOL(hAPP(X_a,bool,Pa,Xa)))))))).
% 61.39/61.01 all X_a Pa Xs_1 ((exists X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(X_a,bool,Pa,X_2))))-> -(all Ys_2 X_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Zs))-> (hBOOL(hAPP(X_a,bool,Pa,X_2))-> -(all Xa (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Zs)))-> -hBOOL(hAPP(X_a,bool,Pa,Xa)))))))).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (exists Ys_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs))& -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys_2)))))).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (exists Ys_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs))& -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Zs)))))).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (exists Ys_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs))))).
% 61.39/61.01 all X_a Pa Xs_1 ((exists X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(X_a,bool,Pa,X_2))))<-> (exists Ys_2 X_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Zs))&hBOOL(hAPP(X_a,bool,Pa,X_2))& (all Xa (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Zs)))-> -hBOOL(hAPP(X_a,bool,Pa,Xa))))))).
% 61.39/61.01 all X_a Pa Xs_1 ((exists X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(X_a,bool,Pa,X_2))))<-> (exists Ys_2 X_2 ((exists Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Zs))))&hBOOL(hAPP(X_a,bool,Pa,X_2))& (all Xa (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys_2)))-> -hBOOL(hAPP(X_a,bool,Pa,Xa))))))).
% 61.39/61.01 all X_a X_1 Xs_1 I_1 V (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),I_1),V)=hAPP(nat,list(X_a),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(list(X_a),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),nat_case(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),V),Xs_1)),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(fun(list(X_a),list(X_a)),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),combb(list(X_a),list(X_a),nat),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1)),hAPP(X_a,fun(nat,list(X_a)),hAPP(fun(nat,fun(X_a,list(X_a))),fun(X_a,fun(nat,list(X_a))),combc(nat,X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1)),V))),I_1)).
% 61.39/61.01 all X_a N_2 X_1 Xs_1 (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(nat,list(X_a),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(list(X_a),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),nat_case(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),fun(nat,list(X_a)),hAPP(fun(nat,fun(list(X_a),list(X_a))),fun(list(X_a),fun(nat,list(X_a))),combc(nat,list(X_a),list(X_a)),drop(X_a)),Xs_1)),N_2)).
% 61.39/61.01 all X_a X_b Xa_1 Xb Za Zb R_1 (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa_1),Xb)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Za),Zb))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))-> (hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa_1),Xb)!=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Za),Zb)-> -(all A_5 B_2 (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa_1),Xb)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2))),R_1))-> -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Za),Zb))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1))))))).
% 61.39/61.01 all X_a X_b Pa Ax Ay Bx By R_1 (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))-> (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By))-> ((all A_5 B_2 Aa_1 Ba_1 (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa_1),Ba_1))),R_1))-> (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa_1),Ba_1)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))-> (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Aa_1),Ba_1))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,A_5),B_2))))))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay))))).
% 61.39/61.01 all X_a X_b Pa Ax Ay Bx By R_1 (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))-> (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay))-> ((all A_5 B_2 Aa_1 Ba_1 (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))-> (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa_1),Ba_1))),R_1))-> (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,A_5),B_2))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Aa_1),Ba_1))))))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By))))).
% 61.39/61.01 all X_a N_2 X_1 Xs_1 (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(nat,list(X_a),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(list(X_a),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),nat_case(list(X_a)),nil(X_a)),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(fun(list(X_a),list(X_a)),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),combb(list(X_a),list(X_a),nat),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1)),hAPP(list(X_a),fun(nat,list(X_a)),hAPP(fun(nat,fun(list(X_a),list(X_a))),fun(list(X_a),fun(nat,list(X_a))),combc(nat,list(X_a),list(X_a)),take(X_a)),Xs_1))),N_2)).
% 61.39/61.01 all X_a A1 A2 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))<-> (exists A_5 (ti(X_a,A1)=ti(X_a,A_5)&ti(X_a,A2)=ti(X_a,A_5)))| (exists A_5 B_2 C_2 (ti(X_a,A1)=ti(X_a,A_5)&ti(X_a,A2)=ti(X_a,C_2)&hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A_5),B_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))&hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),B_2),C_2)),R_1))))).
% 61.39/61.01 all X_a R_1 hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.39/61.01 all X_a Pa Xs_1 ((exists X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(X_a,bool,Pa,X_2))))-> (exists Ys_2 X_2 ((exists Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Zs))))&hBOOL(hAPP(X_a,bool,Pa,X_2))& (all Xa (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys_2)))-> -hBOOL(hAPP(X_a,bool,Pa,Xa))))))).
% 61.39/61.01 all X_a Pa Xs_1 ((exists X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&hBOOL(hAPP(X_a,bool,Pa,X_2))))-> (exists Ys_2 X_2 Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Zs))&hBOOL(hAPP(X_a,bool,Pa,X_2))& (all Xa (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Zs)))-> -hBOOL(hAPP(X_a,bool,Pa,Xa))))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all X hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),X)))).
% 61.39/61.01 all X_a A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2))->ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1))).
% 61.39/61.01 all X_a Ca A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)))).
% 61.39/61.01 all X_a N_2 Xs_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1))),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.01 all X_a R_1 S (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),S))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),S)))).
% 61.39/61.01 all X_a R_1 S (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),S))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),S)))).
% 61.39/61.01 all X_b X_a B_1 A_4 A_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_4),A_2))->hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(fun(X_a,X_b),bool),fun(fun(fun(X_a,X_b),bool),bool),ord_less_e_q(fun(fun(X_a,X_b),bool)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_4),B_1)))).
% 61.39/61.01 all X_a R_2 S_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),R_2)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),S_2)))<->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),R_2),S_2))).
% 61.39/61.01 all X_a X_1 Pa Q_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),Pa),Q_1))-> (hBOOL(hAPP(X_a,bool,Pa,X_1))->hBOOL(hAPP(X_a,bool,Q_1,X_1)))).
% 61.39/61.01 all X_a Q_1 Pa X_1 (hBOOL(hAPP(X_a,bool,Pa,X_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),Pa),Q_1))->hBOOL(hAPP(X_a,bool,Q_1,X_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))))).
% 61.39/61.01 all X_a X_b (ord(X_b)-> (all X_1 F G (hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,X_1)),hAPP(X_a,X_b,G,X_1)))))).
% 61.39/61.01 all X_a A_2 B_1 (ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1)-> -(hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))-> -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2)))).
% 61.39/61.01 all X_a (order(X_a)-> (all Z_1 Y X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Z_1),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Z_1),X)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all Y X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))->ti(X_a,X)=ti(X_a,Y))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all Z_1 X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Z_1)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))->ti(X_a,X)=ti(X_a,Y))))).
% 61.39/61.01 all X_a (order(X_a)-> (all C B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),A_1))-> (ti(X_a,B)=ti(X_a,C)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),A_1)))))).
% 61.39/61.01 all X_a (ord(X_a)-> (all C A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))-> (ti(X_a,B)=ti(X_a,C)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),C)))))).
% 61.39/61.01 all X_a C_1 A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),C_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),C_1)))).
% 61.39/61.01 all X_a X_1 A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),B_1)))).
% 61.39/61.01 all X_a B_1 X_1 A_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),B_1)))).
% 61.39/61.01 all X_a (order(X_a)-> (all C A_1 B (ti(X_a,A_1)=ti(X_a,B)-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),A_1)))))).
% 61.39/61.01 all X_a (ord(X_a)-> (all C A_1 B (ti(X_a,A_1)=ti(X_a,B)-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),C))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),C)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all Y_1 X_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))<->ti(X_a,X_1)=ti(X_a,Y_1))))).
% 61.39/61.01 all X_a X_1 A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),B_1)))).
% 61.39/61.01 all X_a X_b (ord(X_b)-> (all X_1 F G (hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,X_1)),hAPP(X_a,X_b,G,X_1)))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all X Y (X=Y->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))))).
% 61.39/61.01 all X_a A_2 B_1 (ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1)->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2))).
% 61.39/61.01 all X_a A_2 B_1 (ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1)->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))).
% 61.39/61.01 all X_a (order(X_a)-> (all X_1 Y_1 (ti(X_a,X_1)=ti(X_a,Y_1)<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))&hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1))))).
% 61.39/61.01 all X_a A_2 B_1 (ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1)<->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))&hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))))).
% 61.39/61.01 all X_a X_b (ord(X_b)-> (all F G (hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))<-> (all X_2 hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(X_a,X_b,G,X_2))))))).
% 61.39/61.01 all X_a A_2 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),A_2)).
% 61.39/61.01 all X_a N (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),nil(X_a))=nil(X_a)).
% 61.39/61.01 all X_a X_1 N_2 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1))))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))).
% 61.39/61.01 all X_a I_2 Xs (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)))).
% 61.39/61.01 all X_a (top(X_a)-> (all A_1 hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),top_top(X_a))))).
% 61.39/61.01 all X_a (top(X_a)-> (all Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),top_top(X_a)),Aa))<->ti(X_a,Aa)=top_top(X_a)))).
% 61.39/61.01 all X_a (top(X_a)-> (all A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),top_top(X_a)),A_1))->ti(X_a,A_1)=top_top(X_a)))).
% 61.39/61.01 all X_a A_2 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),top_top(fun(X_a,bool)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all N Xs (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)))))).
% 61.39/61.01 all X_a R_1 S (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),S)))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),S)))).
% 61.39/61.01 all X_a R_2 S_2 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_2),S_2))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),S_2),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_2)))->hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),S_2)=hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_2))).
% 61.39/61.01 all X_a R_1 S (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),S))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),S)))).
% 61.39/61.01 all X_a N Xs (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=Xs).
% 61.39/61.01 all X_a Pa Xs_1 (hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))),Xs_1)).
% 61.39/61.01 all X_a Xs_1 X_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Zs_2 X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))-> (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Zs_2)))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Zs_2)))))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 Zs_1 (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Zs_1))))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))&hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Zs_1)))))).
% 61.39/61.01 all X_a N_2 Xs_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1))),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.01 all X_a I_1 X_1 Xs_1 A_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)),A_2))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1))),A_2)))).
% 61.39/61.01 all X_a Xs_1 Ys Zs_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=Zs_1<->Xs_1=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),Zs_1)&Ys=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),Zs_1)).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Xs_1 (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))<->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))& (all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),X_2))))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Xs_1 Ys (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)))<->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))&hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Ys))& (all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (all Xa (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_2),Xa))))))))).
% 61.39/61.01 all X_a R_1 hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Aa (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Aa))<->Aa=nil(X_a)| (exists Xs_2 X_2 (Aa=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)& (all Xa (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_2)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_2),Xa))))&hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_2))))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Xs_1 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),X_2))))-> (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))))))).
% 61.39/61.01 all X_a B_1 A_2 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),B_1))))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))).
% 61.39/61.01 all X_b X_a B_1 C_1 A_2 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_2))->hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_e_q(fun(X_b,bool)),hAPP(X_a,fun(X_b,bool),B_1,X_2)),hAPP(X_a,fun(X_b,bool),C_1,X_2)))))->hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(fun(X_a,X_b),bool),fun(fun(fun(X_a,X_b),bool),bool),ord_less_e_q(fun(fun(X_a,X_b),bool)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),C_1)))).
% 61.39/61.01 all X_a X_b (ord(X_b)-> (all F G ((all X_2 hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(X_a,X_b,G,X_2))))->hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))))).
% 61.39/61.01 all X_a R_1 R_3 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),R_3))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),top_top(fun(X_a,bool))),R_3))->hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_3))))).
% 61.39/61.01 all X_a X Xs Ys_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)))->Xs!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Ys_1)).
% 61.39/61.01 all X_a Xs N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N))->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)=Xs).
% 61.39/61.01 all X_a X Xs I_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),I_2))->hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)=Xs).
% 61.39/61.01 all X_a Pa Xs_1 hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.39/61.01 all X_a Pa Xs_1 hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.39/61.01 all X_a X_b R_2 S_2 (hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool))),combc(X_a,fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),hAPP(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),hAPP(fun(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)))),combb(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),X_a),combc(X_b,fun(product_prod(X_a,X_b),bool),bool)),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),hAPP(fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)))),combb(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),combb(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),X_b),member(product_prod(X_a,X_b)))),product_Pair(X_a,X_b)))),R_2)),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool))),combc(X_a,fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),hAPP(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),hAPP(fun(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)))),combb(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),X_a),combc(X_b,fun(product_prod(X_a,X_b),bool),bool)),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),hAPP(fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)))),combb(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),combb(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),X_b),member(product_prod(X_a,X_b)))),product_Pair(X_a,X_b)))),S_2)))<->hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(fun(product_prod(X_a,X_b),bool),fun(fun(product_prod(X_a,X_b),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_b),bool)),R_2),S_2))).
% 61.39/61.01 all X_a R_1 hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),top_top(fun(X_a,bool))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.01 all X_a Xs_1 M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),M_2),Xs_1))),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1))))).
% 61.39/61.01 all X_a Xs_1 N_2 M_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),M_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),M_2),Xs_1))),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1))))).
% 61.39/61.01 all X_a Xs N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N))->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)=nil(X_a)).
% 61.39/61.01 all X_a N_2 Xs_1 (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1)=nil(X_a)<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),N_2))).
% 61.39/61.01 all X_a Xs_1_1 Xs_2_1 Ys_1_1 Ys_2_1 (hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1_1),Xs_2_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1_1),Ys_2_1)<-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)))->Xs_1_1=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),Ys_1_1)&Xs_2_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),Ys_1_1)),Ys_2_1))& (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)))->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)),Xs_1_1)=Ys_1_1&hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)),Xs_1_1)),Xs_2_1)=Ys_2_1)).
% 61.39/61.01 all X_a R_1 (hBOOL(hAPP(fun(X_a,fun(X_a,bool)),bool,reflp(X_a),R_1))<->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),top_top(fun(X_a,bool))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),collect(product_prod(X_a,X_a)),hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),R_1))))).
% 61.39/61.01 all X_a Aa A_2 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Aa),A_2))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Aa)),R_1)))).
% 61.39/61.01 all X_a X_1 Y_1 A_2 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2)))).
% 61.39/61.01 all X_a X_1 Y_1 A_2 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Y_1),A_2)))).
% 61.39/61.01 all X_a N Xs (Xs!=nil(X_a)->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,N)),Xs)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(list(X_a),X_a,hd(X_a),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs)))).
% 61.39/61.01 all X_b X_a Q_1 Pa X_1 Y_1 (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))-> (hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),Pa),Q_1))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Q_1,X_1),Y_1)))).
% 61.39/61.01 all X_a X_b X_1 Y_1 Pa Q_1 (hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),Pa),Q_1))-> (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Q_1,X_1),Y_1)))).
% 61.39/61.01 all X_a X_1 R_1 (hBOOL(hAPP(fun(X_a,fun(X_a,bool)),bool,reflp(X_a),R_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,X_1),X_1))).
% 61.39/61.01 all X_a N X Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,N)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs))).
% 61.39/61.01 all X_a N X Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,N)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)).
% 61.39/61.01 all X_a X Xs I_2 Y (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),hAPP(nat,nat,suc,I_2)),Y)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),Y))).
% 61.39/61.01 all X_a N X (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,suc,N)),X)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))).
% 61.39/61.01 all X_a N Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs))=hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,N)),Xs))).
% 61.39/61.01 all X_a N Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,N)),Xs)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs))).
% 61.39/61.01 all X_b X_a Q_1 Pa ((all X_2 Y_2 (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_2),Y_2))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Q_1,X_2),Y_2))))->hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),Pa),Q_1))).
% 61.39/61.01 all X_a N_2 Xs_1 (hAPP(nat,nat,suc,N_2)=hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)<-> (exists Y_2 Ys_2 (Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)&hAPP(list(X_a),nat,size_size(list(X_a)),Ys_2)=N_2))).
% 61.39/61.01 all X_a Xs_1 N_2 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(nat,nat,suc,N_2)<-> (exists Y_2 Ys_2 (Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)&hAPP(list(X_a),nat,size_size(list(X_a)),Ys_2)=N_2))).
% 61.39/61.01 all X_a N Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))),nil(X_a)))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,N)),Xs)).
% 61.39/61.01 all X Y (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),Y))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))))).
% 61.39/61.01 all X_a (order(X_a)-> (all X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))&ti(X_a,X_1)!=ti(X_a,Y_1)))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))& -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1))))).
% 61.39/61.01 all X_a (order(X_a)-> (all X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|ti(X_a,X_1)=ti(X_a,Y_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Y X (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))<->ti(X_a,X_1)=ti(X_a,Y_1))))).
% 61.39/61.01 all X_a (order(X_a)-> (all A_1 B (ti(X_a,A_1)!=ti(X_a,B)-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all A_1 B (ti(X_a,A_1)!=ti(X_a,B)-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),A_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1)))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Y X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))-> (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))<->ti(X_a,X_1)=ti(X_a,Y_1))))).
% 61.39/61.01 all X_a (order(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|ti(X_a,X)=ti(X_a,Y)))).
% 61.39/61.01 all X_a (order(X_a)-> (all A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))-> (ti(X_a,A_1)!=ti(X_a,B)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),A_1))-> (ti(X_a,A_1)!=ti(X_a,B)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1)))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all Z_1 X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z_1)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all Z_1 Y X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Z_1),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),X)))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all Z_1 X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),Z_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z_1)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all Z_1 Y X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),X)))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all X (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),X))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 (ti(X_a,X_1)!=ti(X_a,Y_1)<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))|ti(X_a,X_1)=ti(X_a,Y_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|ti(X_a,X)=ti(X_a,Y)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Y_1 X_1 (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))-> (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))<->ti(X_a,X_1)=ti(X_a,Y_1))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (ti(X_a,X)!=ti(X_a,Y)-> (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))->ti(X_a,X)!=ti(X_a,Y)))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))))).
% 61.39/61.01 all X_a (order(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))->ti(X_a,X)!=ti(X_a,Y)))).
% 61.39/61.01 all X_a (order(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))->ti(X_a,Y)!=ti(X_a,X)))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all Pa X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))->hBOOL(Pa))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))))).
% 61.39/61.01 all X_a (order(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))))).
% 61.39/61.01 all X_a (ord(X_a)-> (all C A_1 B (ti(X_a,A_1)=ti(X_a,B)-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),C)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all C A_1 B (ti(X_a,A_1)=ti(X_a,B)-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),A_1)))))).
% 61.39/61.01 all X_a (ord(X_a)-> (all C A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))-> (ti(X_a,B)=ti(X_a,C)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),C)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all C B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))-> (ti(X_a,B)=ti(X_a,C)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),A_1)))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all Z_1 X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),Z_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z_1)))))).
% 61.39/61.01 all X_a (order(X_a)-> (all Z_1 Y X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),X)))))).
% 61.39/61.01 all X_a (preorder(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))-> (ti(X_a,X)!=ti(X_a,Y)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)))))).
% 61.39/61.01 all X_a (top(X_a)-> (all A_1 (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),top_top(X_a)),A_1))))).
% 61.39/61.01 all X_a (top(X_a)-> (all Aa (ti(X_a,Aa)!=top_top(X_a)<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),top_top(X_a)))))).
% 61.39/61.01 all X_a X_1 N_2 Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),N_2),X_1))))).
% 61.39/61.01 all X_a Ys_1 X I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),I_2),X)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),Ys_1)).
% 61.39/61.01 all X_a N Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)).
% 61.39/61.01 all X_a N Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(list(X_a),X_a,last(X_a),Xs)).
% 61.39/61.01 all X_a A_1 I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),A_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_1),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,I_2)),Xs)))).
% 61.39/61.01 all N hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,suc,N))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N)))).
% 61.39/61.01 all X_a R_1 (hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lenlex(X_a),R_1)=hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),collect(product_prod(list(X_a),list(X_a))),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(product_prod(list(X_a),list(X_a)),bool),product_prod_case(list(X_a),list(X_a),bool),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),bool))),combs(list(X_a),fun(list(X_a),bool),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(list(X_a),fun(bool,bool))),fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool))),hAPP(fun(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),fun(bool,bool))),fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool)))),combb(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool)),list(X_a)),combs(list(X_a),bool,bool)),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),fun(bool,bool))),hAPP(fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),fun(bool,bool)))),combb(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool)),list(X_a)),hAPP(fun(bool,fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),combb(bool,fun(bool,bool),list(X_a)),fdisj)),hAPP(fun(list(X_a),nat),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool))),fun(fun(list(X_a),nat),fun(list(X_a),fun(list(X_a),bool))),combc(list(X_a),fun(list(X_a),nat),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(nat,bool)),fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool))),hAPP(fun(fun(nat,bool),fun(fun(list(X_a),nat),fun(list(X_a),bool))),fun(fun(list(X_a),fun(nat,bool)),fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool)))),combb(fun(nat,bool),fun(fun(list(X_a),nat),fun(list(X_a),bool)),list(X_a)),combb(nat,bool,list(X_a))),hAPP(fun(list(X_a),nat),fun(list(X_a),fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(list(X_a),nat),fun(list(X_a),fun(nat,bool))),combb(nat,fun(nat,bool),list(X_a)),ord_less(nat)),size_size(list(X_a))))),size_size(list(X_a)))))),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),bool))),combs(list(X_a),fun(list(X_a),bool),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(list(X_a),fun(bool,bool))),fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool))),hAPP(fun(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),fun(bool,bool))),fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool)))),combb(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool)),list(X_a)),combs(list(X_a),bool,bool)),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),fun(bool,bool))),hAPP(fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),fun(bool,bool)))),combb(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool)),list(X_a)),hAPP(fun(bool,fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),combb(bool,fun(bool,bool),list(X_a)),fconj)),hAPP(fun(list(X_a),nat),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool))),fun(fun(list(X_a),nat),fun(list(X_a),fun(list(X_a),bool))),combc(list(X_a),fun(list(X_a),nat),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(nat,bool)),fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool))),hAPP(fun(fun(nat,bool),fun(fun(list(X_a),nat),fun(list(X_a),bool))),fun(fun(list(X_a),fun(nat,bool)),fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool)))),combb(fun(nat,bool),fun(fun(list(X_a),nat),fun(list(X_a),bool)),list(X_a)),combb(nat,bool,list(X_a))),hAPP(fun(list(X_a),nat),fun(list(X_a),fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(list(X_a),nat),fun(list(X_a),fun(nat,bool))),combb(nat,fun(nat,bool),list(X_a)),fe_qual(nat)),size_size(list(X_a))))),size_size(list(X_a)))))),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool))),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),fun(list(X_a),bool))),combc(list(X_a),fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool))),hAPP(fun(fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool)))),combb(fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool)),list(X_a)),combc(list(X_a),fun(product_prod(list(X_a),list(X_a)),bool),bool)),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),hAPP(fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),fun(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)))),combb(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)),list(X_a)),hAPP(fun(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),combb(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),list(X_a)),member(product_prod(list(X_a),list(X_a))))),product_Pair(list(X_a),list(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1))))))).
% 61.39/61.01 all X_2 (hAPP(nat,fun(nat,bool),ord_less(nat),X_2)=hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,X_2))).
% 61.39/61.01 all X_a X_b (ord(X_b)-> (all F G (hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less(fun(X_a,X_b)),F),G))<->hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))& -hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),G),F))))).
% 61.39/61.01 all X_a A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))<->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))&ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1)).
% 61.39/61.01 all X_a A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))<->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))|ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1)).
% 61.39/61.01 all X_a A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))).
% 61.39/61.01 all X_a C_1 A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),C_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),C_1)))).
% 61.39/61.01 all X_a C_1 A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),B_1),C_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),C_1)))).
% 61.39/61.01 all N (N!=hAPP(nat,nat,suc,N)).
% 61.39/61.01 all N (hAPP(nat,nat,suc,N)!=N).
% 61.39/61.01 all Nat_4 Nat_5 (hAPP(nat,nat,suc,Nat_4)=hAPP(nat,nat,suc,Nat_5)<->Nat_4=Nat_5).
% 61.39/61.01 all X Y (hAPP(nat,nat,suc,X)=hAPP(nat,nat,suc,Y)->X=Y).
% 61.39/61.01 all N (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),N))).
% 61.39/61.01 all M_2 N_2 (M_2!=N_2<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))).
% 61.39/61.01 all X Y (X!=Y-> (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Y),X)))).
% 61.39/61.01 all N (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),N))).
% 61.39/61.01 all N M (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),M))->M!=N).
% 61.39/61.01 all S_1 T_3 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),S_1),T_3))->S_1!=T_3).
% 61.39/61.01 all Pa M_2 N_2 ((hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,N_2),M_2)))-> ((M_2=N_2->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,N_2),M_2)))-> ((hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,N_2),M_2)))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,N_2),M_2))))).
% 61.39/61.01 all N hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),N)).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))).
% 61.39/61.01 all M N (M=N->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))).
% 61.39/61.01 all K I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J),K))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),K)))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))->M=N)).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N)))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N)))-> (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))->M=N)).
% 61.39/61.01 all K I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),K))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I_2)),K)))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))-> (hAPP(nat,nat,suc,M)!=N->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),N)))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N)))).
% 61.39/61.01 all N M (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),M))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,suc,M)))->M=N)).
% 61.39/61.01 all N_2 M_2 (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2)))<->N_2=M_2)).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M_2)),hAPP(nat,nat,suc,N_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|M_2=N_2).
% 61.39/61.01 all M_2 N_2 (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2)))).
% 61.39/61.01 all N (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N)),N))).
% 61.39/61.01 all M_2 N_2 (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),M_2))).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),hAPP(nat,nat,suc,N_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|M_2=hAPP(nat,nat,suc,N_2)).
% 61.39/61.01 all N_2 M_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),hAPP(nat,nat,suc,M_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),M_2))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),hAPP(nat,nat,suc,N)))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),hAPP(nat,nat,suc,N)))-> (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))->M=hAPP(nat,nat,suc,N))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M)),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|M=N->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))-> (M!=N->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|M_2=N_2).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))&M_2!=N_2).
% 61.39/61.01 all X_a F1 F2 Nat_4 (hAPP(nat,X_a,hAPP(fun(nat,X_a),fun(nat,X_a),hAPP(X_a,fun(fun(nat,X_a),fun(nat,X_a)),nat_case(X_a),F1),F2),hAPP(nat,nat,suc,Nat_4))=hAPP(nat,X_a,F2,Nat_4)).
% 61.39/61.01 all N_2 M_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),M_2))).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M_2)),N_2))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N)))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M)),N))).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2)))<->N_2=M_2)).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M)),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))).
% 61.39/61.01 all Pa I_1 J_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))-> (hBOOL(hAPP(nat,bool,Pa,J_2))-> ((all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_2))-> (hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,I)))->hBOOL(hAPP(nat,bool,Pa,I)))))->hBOOL(hAPP(nat,bool,Pa,I_1))))).
% 61.39/61.01 all X_a (order(X_a)-> (all N_2 N_3 F ((all N_1 hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,F,N_1)),hAPP(nat,X_a,F,hAPP(nat,nat,suc,N_1)))))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),N_3))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,F,N_2)),hAPP(nat,X_a,F,N_3))))))).
% 61.39/61.01 all X_a (order(X_a)-> (all N_2 N_3 F ((all N_1 hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,N_1)),hAPP(nat,X_a,F,hAPP(nat,nat,suc,N_1)))))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),N_3))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,N_2)),hAPP(nat,X_a,F,N_3))))))).
% 61.39/61.01 all X_a (order(X_a)-> (all N_2 M_2 F ((all N_1 hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,N_1)),hAPP(nat,X_a,F,hAPP(nat,nat,suc,N_1)))))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,N_2)),hAPP(nat,X_a,F,M_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2)))))).
% 61.39/61.01 all X_a Ca A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)))).
% 61.39/61.01 all X_a C_1 A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),B_1),C_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),C_1)))).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M_2)),N_2))<->hBOOL(hAPP(nat,bool,hAPP(fun(nat,bool),fun(nat,bool),hAPP(bool,fun(fun(nat,bool),fun(nat,bool)),nat_case(bool),fFalse),hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2)),N_2))).
% 61.39/61.01 all X_a X_b S R_1 ((all X_2 Y_2 (hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Y_2)),R_1))->hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Y_2)),S))))->hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(fun(product_prod(X_a,X_b),bool),fun(fun(product_prod(X_a,X_b),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_b),bool)),R_1),S))).
% 61.39/61.01 all I_1 J_2 F ((all I J_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_1))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,F,I)),hAPP(nat,nat,F,J_1)))))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,F,I_1)),hAPP(nat,nat,F,J_2))))).
% 61.39/61.01 all N M_3 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N)),M_3))-> (exists M_1 (M_3=hAPP(nat,nat,suc,M_1)))).
% 61.39/61.01 all I_2 K (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),K))-> (K!=hAPP(nat,nat,suc,I_2)-> -(all J_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J_1))->K!=hAPP(nat,nat,suc,J_1))))).
% 61.39/61.01 all I_2 K (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I_2)),K))-> -(all J_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J_1))->K!=hAPP(nat,nat,suc,J_1)))).
% 61.39/61.01 all X_a (dense_linorder(X_a)-> (all Z_1 Y ((all X_2 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_2),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_2),Z_1))))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1))))).
% 61.39/61.01 all X_a (dense_linorder(X_a)-> (all Z_1 X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))-> ((all W (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),W))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),W),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),W),Z_1)))))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1)))))).
% 61.39/61.01 all X_b X_a (order(X_a)&ord(X_b)-> (all Ca F Ba Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_b,X_a,F,Ba)),Aa))-> (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),Ba))-> ((all X_2 Y_2 (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_2),X_2))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Y_2)),hAPP(X_b,X_a,F,X_2)))))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ca)),Aa))))))).
% 61.39/61.01 all X_b X_a (order(X_a)&order(X_b)-> (all Ca F Ba Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ba)),Aa))-> (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ca),Ba))-> ((all X_2 Y_2 (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Y_2),X_2))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_b,X_a,F,Y_2)),hAPP(X_b,X_a,F,X_2)))))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ca)),Aa))))))).
% 61.39/61.01 all X_a X_b (order(X_b)&order(X_a)-> (all Ca Aa F Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),hAPP(X_b,X_a,F,Ba)))-> (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ba),Ca))-> ((all X_2 Y_2 (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_2),Y_2))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,X_2)),hAPP(X_b,X_a,F,Y_2)))))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ca)))))))).
% 61.39/61.01 all X_b X_a (order(X_a)&order(X_b)-> (all Ca F Ba Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Ba),Aa))-> (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ca),hAPP(X_a,X_b,F,Ba)))-> ((all X_2 Y_2 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_2),X_2))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Y_2)),hAPP(X_a,X_b,F,X_2)))))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Aa)))))))).
% 61.39/61.01 all X_b X_a (order(X_a)&order(X_b)-> (all Ca F Ba Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Ba),Aa))-> (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Ba)))-> ((all X_2 Y_2 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_2),X_2))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,Y_2)),hAPP(X_a,X_b,F,X_2)))))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Aa)))))))).
% 61.39/61.01 all X_a X_b (order(X_b)&order(X_a)-> (all F Ca Aa Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))-> (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,Ba)),Ca))-> ((all X_2 Y_2 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_2),Y_2))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(X_a,X_b,F,Y_2)))))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Aa)),Ca))))))).
% 61.39/61.01 all X_a X_b (order(X_b)&order(X_a)-> (all Ca Aa F Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ba)))-> (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ba),Ca))-> ((all X_2 Y_2 (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),X_2),Y_2))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_b,X_a,F,X_2)),hAPP(X_b,X_a,F,Y_2)))))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ca)))))))).
% 61.39/61.01 all X_a X_b (order(X_b)&order(X_a)-> (all F Ca Aa Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))-> (hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Ba)),Ca))-> ((all X_2 Y_2 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_2),Y_2))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(X_a,X_b,F,Y_2)))))->hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Aa)),Ca))))))).
% 61.39/61.01 all X_a I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->Xs=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,I_2)),Xs)))).
% 61.39/61.01 all X_a Xs I_2 (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2))=Xs).
% 61.39/61.01 all X_a Xs X I_2 J (I_2!=J->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),J)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J)).
% 61.39/61.01 all X_a X Xs N (hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),hAPP(nat,nat,suc,N))=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),N)).
% 61.39/61.01 all X_a Xs_1 Ys (Xs_1=Ys<->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)& (all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys),I)))).
% 61.39/61.01 all X_a Xs I_2 N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),N))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),I_2)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)).
% 61.39/61.01 all X_a N Xs Y Ys_1 (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Ys_1)->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),N)=ti(X_a,Y)).
% 61.39/61.01 all X_a X I_2 N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),N))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),I_2)=ti(X_a,X)).
% 61.39/61.01 all X_a X_1 Xs_1 N_2 (hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),N_2)=hAPP(nat,X_a,hAPP(fun(nat,X_a),fun(nat,X_a),hAPP(X_a,fun(fun(nat,X_a),fun(nat,X_a)),nat_case(X_a),X_1),hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1)),N_2)).
% 61.39/61.01 all X_a N_2 Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))).
% 61.39/61.01 all X_a Pa Xs_1 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,X_2))))<-> (all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)))))).
% 61.39/61.01 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))<-> (exists I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))&hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)=ti(X_a,X_1)))).
% 61.39/61.01 all X_a Xs X Ys_1 (hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Ys_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))=ti(X_a,X)).
% 61.39/61.01 all X_a J_2 I_1 Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> (hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I_1)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_2)<->I_1=J_2)))).
% 61.39/61.01 all X_a Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))<-> (all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> (all J_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> (I!=J_1->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)!=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_1))))))).
% 61.39/61.01 all X_a X J I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))-> (I_2=J->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),J)=ti(X_a,X))& (I_2!=J->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),J)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J))).
% 61.39/61.01 all X_a X_1 I_1 Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1)=Xs_1<->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I_1)=ti(X_a,X_1))).
% 61.39/61.01 all X_a X I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),I_2)=ti(X_a,X)).
% 61.39/61.01 all X_a Pa Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> -hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)))))).
% 61.39/61.01 all X_a J_2 Pa Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)),J_2)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_2)).
% 61.39/61.01 all X_a (linorder(X_a)-> (all I_2 J Xs (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J)))))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Xs_1 (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))<-> (all J_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> (all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I),J_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_1)))))))))).
% 61.39/61.01 all X_a I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,I_2)),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),Xs)).
% 61.39/61.01 all X_a Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))<->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)& (all N_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_1)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys),N_1))),R_1))))).
% 61.39/61.01 all X_a N Xs (Xs!=nil(X_a)-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),N))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all I_2 J Xs (hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs)))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)))))))).
% 61.39/61.01 all X_a I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,I_2)),Xs)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),nil(X_a)))).
% 61.39/61.01 all X_a Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))<-> (exists Y_2 N_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_1)),Y_2)),R_1))&hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))&Ys=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),N_1),Y_2)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Xs ((all I J_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I),J_1))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J_1))))))->hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))))).
% 61.39/61.01 all X_a Pa Xs_1 N_2 ((all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),N_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I))))))-> ((hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> -hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2))))->hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1))).
% 61.39/61.01 all X_a Pa Xs_1 J_2 ((all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_2))->hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)))))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)))))).
% 61.39/61.01 all X_a Ys_1 K Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)))-> ((all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys_1),I)))->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),K),Xs)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),K),Ys_1)))).
% 61.39/61.01 all X_a X_1 Pa Xs_1 ((all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)))))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,X_1)))).
% 61.39/61.01 all X_a Pa N_2 Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(X_a,bool,Pa,X_2))))->hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2))))).
% 61.39/61.01 all X_a Xs Ys_1 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)-> ((all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys_1),I)))->Xs=Ys_1)).
% 61.39/61.01 all X_a Pa K_1 ((all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K_1))-> (exists X1 hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,I),X1)))))<-> (exists Xs_2 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs_2)=K_1& (all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K_1))->hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,I),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_2),I)))))))).
% 61.39/61.01 all X_a X_1 Y_1 R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)))&hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),Y_1)=X_1| (exists I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1))))&hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I),X_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I),Y_1)&hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),X_1),I)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Y_1),I))),R_1))))).
% 61.39/61.01 all X_a R_1 ((all X_2 hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,X_2),X_2)))->hBOOL(hAPP(fun(X_a,fun(X_a,bool)),bool,reflp(X_a),R_1))).
% 61.39/61.01 all X_a J_2 Pa Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)),J_2)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Z_2 X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),X_1))&hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),Y_1))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 Z_2 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)),Z_2))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Z_2))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),Z_2))))).
% 61.39/61.01 all Z_1 X Y (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1)))).
% 61.39/61.01 all Y X Z_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Z_1))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1)))).
% 61.39/61.01 all I_2 J K (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),K))).
% 61.39/61.01 all M N K L (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K),L))-> (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),L)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),N)->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)))).
% 61.39/61.01 all K L I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K),L))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),L))))).
% 61.39/61.01 all K I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K)))).
% 61.39/61.01 all M I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),J)))).
% 61.39/61.01 all M I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),M)))).
% 61.39/61.01 all K_1 M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))).
% 61.39/61.01 all J I_2 (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),I_2))).
% 61.39/61.01 all I_2 J (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),I_2))).
% 61.39/61.01 all X_a N M Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),M),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),Xs)).
% 61.39/61.01 all X_a N M Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),M),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),N),M)),Xs)).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 Z_2 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)),Z_2))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Z_2))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),Z_2))))).
% 61.39/61.01 all Z_1 X Y (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),Y))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1)))).
% 61.39/61.01 all Y X Z_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),Z_1))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1)))).
% 61.39/61.01 all N M hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N))).
% 61.39/61.01 all N M hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M))).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))<-> (exists K_2 (N_2=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_2)))).
% 61.39/61.01 all K_1 M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))).
% 61.39/61.01 all M I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),M)))).
% 61.39/61.01 all M I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),J)))).
% 61.39/61.01 all K I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K)))).
% 61.39/61.01 all K L I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),L))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),L))))).
% 61.39/61.01 all M K N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),N))).
% 61.39/61.01 all M K N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))).
% 61.39/61.01 all M K N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),N))-> -(hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))-> -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),N)))).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,suc,N))=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N))).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,M)),N)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N))).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,M)),N)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,suc,N))).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N))=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),M),N))).
% 61.39/61.01 all M_2 K_1 N_2 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N_2),K_1)<->M_2=N_2).
% 61.39/61.01 all K_1 M_2 N_2 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)<->M_2=N_2).
% 61.39/61.01 all M N K (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),K))).
% 61.39/61.01 all X Y Z_1 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X),Z_1))).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)).
% 61.39/61.01 all X_a N Xs (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N)).
% 61.39/61.01 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))<-> (exists K_2 (N_2=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_2))))).
% 61.39/61.01 all I_2 M hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),I_2)))).
% 61.39/61.01 all I_2 M hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),M)))).
% 61.39/61.01 all X_a Xs Ys_1 (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1))).
% 61.39/61.01 all X_a I_2 K X (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),K),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),I_2),K)),X)).
% 61.39/61.01 all X_a N M X (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),X)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),M),X))).
% 61.39/61.01 all X_a N M Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),M),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),M),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),Xs))).
% 61.39/61.01 all X_a Xs Ys_1 (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),Xs),Ys_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1))).
% 61.39/61.01 all X_a Xs Ys_1 N (hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N))=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys_1),N)).
% 61.39/61.01 all X_a I_2 J Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),Xs)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),J),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),Xs)))).
% 61.39/61.01 all X_a N I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),I_2)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)),I_2)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),I_2))).
% 61.39/61.01 all M_2 K_1 F ((all M_1 N_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N_1))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,F,M_1)),hAPP(nat,nat,F,N_1)))))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,F,M_2)),K_1)),hAPP(nat,nat,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_1))))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))-> (exists K_2 (N=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K_2))))).
% 61.39/61.01 all X_a (ordere223160158up_add(X_a)-> (all C D_1 A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),D_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))))))).
% 61.39/61.01 all X_a (cancel_semigroup_add(X_a)-> (all B A_1 C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),A_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)->ti(X_a,B)=ti(X_a,C)))).
% 61.39/61.01 all X_a (cancel146912293up_add(X_a)-> (all A_1 B C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)->ti(X_a,B)=ti(X_a,C)))).
% 61.39/61.01 all X_a (cancel_semigroup_add(X_a)-> (all A_1 B C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)->ti(X_a,B)=ti(X_a,C)))).
% 61.39/61.01 all X_a (cancel_semigroup_add(X_a)-> (all Ba Aa Ca (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Aa)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)<->ti(X_a,Ba)=ti(X_a,Ca)))).
% 61.39/61.01 all X_a (cancel_semigroup_add(X_a)-> (all Aa Ba Ca (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ba)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)<->ti(X_a,Ba)=ti(X_a,Ca)))).
% 61.39/61.01 all X_a (ab_semigroup_add(X_a)-> (all A_1 B C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all Aa Ca Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Ca)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all Ca Aa Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Ba)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))))).
% 61.39/61.01 all X_a (ordere779506340up_add(X_a)-> (all C A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)))))).
% 61.39/61.01 all X_a (ordere779506340up_add(X_a)-> (all C A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B)))))).
% 61.39/61.01 all X_a (ordere779506340up_add(X_a)-> (all C D_1 A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),D_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all A_1 C B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all C A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all Aa Ca Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Ca)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all Ca Aa Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Ba)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))))).
% 61.39/61.01 all X_a (ordere223160158up_add(X_a)-> (all C A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)))))).
% 61.39/61.01 all X_a (ordere223160158up_add(X_a)-> (all C A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B)))))).
% 61.39/61.01 all X_a (ordere223160158up_add(X_a)-> (all C D_1 A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all A_1 C B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all C A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))))).
% 61.39/61.01 all X_a (ordere236663937imp_le(X_a)-> (all X Y Z_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),Z_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),X),Z_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Y),Z_1))))).
% 61.39/61.01 all X_a (ordere223160158up_add(X_a)-> (all C D_1 A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))))))).
% 61.39/61.01 all X_a (ord(X_a)-> (all X Least ((all X_2 hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Least),X_2)))->hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Least),X)=ti(X_a,Least)))).
% 61.39/61.01 all X_a (order(X_a)-> (all X Least ((all X_2 hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Least),X_2)))->hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Least)=ti(X_a,Least)))).
% 61.39/61.01 all X_a (ord(X_a)->ord_min(X_a)=hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,X_a)),min(X_a),ord_less_e_q(X_a))).
% 61.39/61.01 all X_a I_1 K_1 F R_1 ((all I hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,F,hAPP(nat,nat,suc,I))),hAPP(nat,X_a,F,I))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1))),hAPP(nat,X_a,F,I_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all A_1 B X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),X))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),X))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all B A_1 X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),X))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),X))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y Z_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),Z_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),Z_1))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all A_1 B C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),B),C))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y Z_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),Z_1))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Z_1))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all B A_1 C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),C))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),B),C))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all A_1 B (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),X)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all A_1 B (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),B),A_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),A_1)=ti(X_a,A_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),X)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),Y)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))<->hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)=ti(X_a,X_1)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X_1 Y_1 Z_2 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y_1),Z_2)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))&hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Z_2))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all B A_1 X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),X))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),X))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all A_1 B X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),X))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),X))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))->hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)=ti(X_a,X)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Y X (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))->hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)=ti(X_a,Y)))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all B X A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B))))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all Z_1 X Y (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Z_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),Z_1))))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all B D_1 A_1 C (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),C))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),D_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),C),D_1))))))).
% 61.39/61.01 all X_a (linorder(X_a)-> (all X A_1 B (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)))-> -(hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),A_1))-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),B)))))).
% 61.39/61.01 all X_a X_b Aa Ba A_3 B_3 R_1 S (hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3))),hAPP(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool)),lex_prod(X_a,X_b),R_1),S)))<->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),A_3)),R_1))|ti(X_a,Aa)=ti(X_a,A_3)&hBOOL(hAPP(fun(product_prod(X_b,X_b),bool),bool,hAPP(product_prod(X_b,X_b),fun(fun(product_prod(X_b,X_b),bool),bool),member(product_prod(X_b,X_b)),hAPP(X_b,product_prod(X_b,X_b),hAPP(X_b,fun(X_b,product_prod(X_b,X_b)),product_Pair(X_b,X_b),Ba),B_3)),S))).
% 61.39/61.01 all X_a X_1 Y_1 F (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(X_a,nat),fun(product_prod(X_a,X_a),bool),measure(X_a),F)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(X_a,nat,F,X_1)),hAPP(X_a,nat,F,Y_1)))).
% 61.39/61.01 all F ((all I hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,F,hAPP(nat,nat,suc,I))),hAPP(nat,nat,F,I))))-> (exists I all K_2 (hAPP(nat,nat,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),K_2))=hAPP(nat,nat,F,I)))).
% 61.39/61.01 all X_a R_2 F X_1 Y_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(X_a,nat,F,X_1)),hAPP(X_a,nat,F,Y_1)))-> (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_2))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),hAPP(fun(X_a,nat),fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool)),mlex_prod(X_a),F),R_2))))).
% 61.39/61.01 all X_a R_2 F X_1 Y_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(X_a,nat,F,X_1)),hAPP(X_a,nat,F,Y_1)))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),hAPP(fun(X_a,nat),fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool)),mlex_prod(X_a),F),R_2)))).
% 61.39/61.01 all X_a L_1 L_2 A_2 (hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),L_1),L_2)),A_2)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),L_1),A_2)),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),L_2),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),hAPP(nat,fun(nat,nat),hAPP(fun(nat,fun(nat,nat)),fun(nat,fun(nat,nat)),combc(nat,nat,nat),plus_plus(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),L_1)))),A_2))))).
% 61.39/61.01 all X_a X_1 Xs_1 I_3 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3))))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))).
% 61.39/61.01 all X_a I_3 X_1 Xs_1 (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3))))).
% 61.39/61.01 all X_a A_2 (hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),nil(X_a)),A_2)=nil(X_a)).
% 61.39/61.01 all X_a I_3 Xs_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))->hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3)))).
% 61.39/61.01 all X_a Xs_1 I_3 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3))),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.01 all X_a X_1 L_1 A_2 (hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),L_1)),A_2)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),hAPP(bool,fun(list(X_a),fun(list(X_a),list(X_a))),if(list(X_a)),hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),A_2)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))),nil(X_a))),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),L_1),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),suc)),A_2))))).
% 61.39/61.01 all X_a Xs_1 I_3 (hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3))=hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,fun(nat,bool)),fun(X_a,bool),hAPP(fun(fun(nat,bool),bool),fun(fun(X_a,fun(nat,bool)),fun(X_a,bool)),combb(fun(nat,bool),bool,X_a),fEx(nat)),hAPP(fun(nat,bool),fun(X_a,fun(nat,bool)),hAPP(fun(X_a,fun(fun(nat,bool),fun(nat,bool))),fun(fun(nat,bool),fun(X_a,fun(nat,bool))),combc(X_a,fun(nat,bool),fun(nat,bool)),hAPP(fun(X_a,fun(nat,fun(bool,bool))),fun(X_a,fun(fun(nat,bool),fun(nat,bool))),hAPP(fun(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool))),fun(fun(X_a,fun(nat,fun(bool,bool))),fun(X_a,fun(fun(nat,bool),fun(nat,bool)))),combb(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),X_a),combs(nat,bool,bool)),hAPP(fun(X_a,fun(nat,bool)),fun(X_a,fun(nat,fun(bool,bool))),hAPP(fun(fun(nat,bool),fun(nat,fun(bool,bool))),fun(fun(X_a,fun(nat,bool)),fun(X_a,fun(nat,fun(bool,bool)))),combb(fun(nat,bool),fun(nat,fun(bool,bool)),X_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj)),hAPP(fun(nat,X_a),fun(X_a,fun(nat,bool)),hAPP(fun(X_a,fun(fun(nat,X_a),fun(nat,bool))),fun(fun(nat,X_a),fun(X_a,fun(nat,bool))),combc(X_a,fun(nat,X_a),fun(nat,bool)),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(fun(nat,X_a),fun(nat,bool))),hAPP(fun(fun(X_a,bool),fun(fun(nat,X_a),fun(nat,bool))),fun(fun(X_a,fun(X_a,bool)),fun(X_a,fun(fun(nat,X_a),fun(nat,bool)))),combb(fun(X_a,bool),fun(fun(nat,X_a),fun(nat,bool)),X_a),combb(X_a,bool,nat)),fe_qual(X_a))),hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1))))),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),I_3)))))).
% 61.39/61.01 all X_a N Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs)),N)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(nat,nat,suc,N)))).
% 61.39/61.01 all N (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat)))).
% 61.39/61.01 all N hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),zero_zero(nat)),N)).
% 61.39/61.01 all N hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,suc,N))).
% 61.39/61.01 all X_b X_a (minus(X_a)-> (all A_2 B_1 X_1 (hAPP(X_b,X_a,hAPP(fun(X_b,X_a),fun(X_b,X_a),hAPP(fun(X_b,X_a),fun(fun(X_b,X_a),fun(X_b,X_a)),minus_minus(fun(X_b,X_a)),A_2),B_1),X_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_b,X_a,A_2,X_1)),hAPP(X_b,X_a,B_1,X_1))))).
% 61.39/61.01 all X_a X_b (minus(X_b)-> (all A_2 B_1 X_2 (hAPP(X_a,X_b,hAPP(fun(X_a,X_b),fun(X_a,X_b),hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),fun(X_a,X_b)),minus_minus(fun(X_a,X_b)),A_2),B_1),X_2)=hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),hAPP(X_a,X_b,A_2,X_2)),hAPP(X_a,X_b,B_1,X_2))))).
% 61.39/61.01 all Pa Aa Ba (hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))<-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Aa),Ba))->hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))))& (all D_3 (Aa=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ba),D_3)->hBOOL(hAPP(nat,bool,Pa,D_3))))).
% 61.39/61.01 all Pa Aa Ba (hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))<-> -(hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Aa),Ba))& -hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))| (exists D_3 (Aa=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ba),D_3)& -hBOOL(hAPP(nat,bool,Pa,D_3)))))).
% 61.39/61.01 all X_a (monoid_add(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1)=ti(X_a,A_1)))).
% 61.39/61.01 all X_a (comm_monoid_add(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1)=ti(X_a,A_1)))).
% 61.39/61.01 all X_a (linord219039673up_add(X_a)-> (all Aa (zero_zero(X_a)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)<->ti(X_a,Aa)=zero_zero(X_a)))).
% 61.39/61.01 all X_a (monoid_add(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a))=ti(X_a,A_1)))).
% 61.39/61.01 all X_a (comm_monoid_add(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a))=ti(X_a,A_1)))).
% 61.39/61.01 all X_a (group_add(X_a)-> (all A_1 B (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),B)),B)=ti(X_a,A_1)))).
% 61.39/61.01 all X_a (group_add(X_a)-> (all A_1 B (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),B)=ti(X_a,A_1)))).
% 61.39/61.01 all X_a (ordered_ab_group_add(X_a)-> (all X Y Z_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),Z_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),X),Z_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Y),Z_1))))).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)=M->N=zero_zero(nat)).
% 61.39/61.01 all M I_2 N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),I_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),I_2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),M),N)),I_2)).
% 61.39/61.01 all M K N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)).
% 61.39/61.01 all K M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),N))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)).
% 61.39/61.01 all I_2 J K (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),J)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K))).
% 61.39/61.01 all N M (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),N)=M).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)),N)=M).
% 61.39/61.01 all M_2 N_2 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)=zero_zero(nat)<->M_2=zero_zero(nat)&N_2=zero_zero(nat)).
% 61.39/61.01 all N M (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M))=zero_zero(nat)).
% 61.39/61.01 all M (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),zero_zero(nat))=M).
% 61.39/61.01 all N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),N),zero_zero(nat))=zero_zero(nat)).
% 61.39/61.01 all N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),N)=N).
% 61.39/61.01 all N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),zero_zero(nat)),N)=zero_zero(nat)).
% 61.39/61.01 all X_a (ordered_ab_group_add(X_a)-> (all Aa Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)),zero_zero(X_a)))))).
% 61.39/61.01 all X_a (ordered_ab_group_add(X_a)-> (all Aa Ba Ca D (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Ca),D)))))).
% 61.39/61.01 all X_a (ab_group_add(X_a)-> (all Aa Ba Ca D (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)-> (ti(X_a,Aa)=ti(X_a,Ba)<->ti(X_a,Ca)=ti(X_a,D))))).
% 61.39/61.01 all X_a (group_add(X_a)-> (all Aa Ba (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)=zero_zero(X_a)<->ti(X_a,Aa)=ti(X_a,Ba)))).
% 61.39/61.01 all X_a (ab_group_add(X_a)-> (all Aa Ba (ti(X_a,Aa)=ti(X_a,Ba)<->hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)=zero_zero(X_a)))).
% 61.39/61.01 all X_a (group_add(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),A_1)=zero_zero(X_a)))).
% 61.39/61.01 all X_a (group_add(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),zero_zero(X_a))=ti(X_a,A_1)))).
% 61.39/61.01 all X_a (zero(X_a)-> (all X_1 (zero_zero(X_a)=ti(X_a,X_1)<->ti(X_a,X_1)=zero_zero(X_a)))).
% 61.39/61.01 all X_a (ordered_ab_group_add(X_a)-> (all Aa Ba (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)),zero_zero(X_a)))))).
% 61.39/61.01 all X_a (ordered_ab_group_add(X_a)-> (all Aa Ba Ca D (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Ca),D)))))).
% 61.39/61.01 all N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))->hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,suc,zero_zero(nat))))=N).
% 61.39/61.01 all I_2 N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,suc,I_2))),N))).
% 61.39/61.01 all N (N!=zero_zero(nat)->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))).
% 61.39/61.01 all L M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),L))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),N)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),M))))).
% 61.39/61.01 all N J K (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),K))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),N)),K))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))->N!=zero_zero(nat)).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),M))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),M)))).
% 61.39/61.01 all N (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat)))).
% 61.39/61.01 all N_2 M_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),M_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))).
% 61.39/61.01 all N_2 (N_2!=zero_zero(nat)<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2))).
% 61.39/61.01 all N (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat)))).
% 61.39/61.01 all X_a M_2 X_1 N_2 Y_1 (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),M_2),X_1)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1)<->M_2=N_2& (M_2!=zero_zero(nat)->ti(X_a,X_1)=ti(X_a,Y_1))).
% 61.39/61.01 all X_a Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),zero_zero(nat)),Xs)=Xs).
% 61.39/61.01 all N hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),zero_zero(nat)),N)).
% 61.39/61.01 all N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),zero_zero(nat)))<->N_2=zero_zero(nat)).
% 61.39/61.01 all M N hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),M)).
% 61.39/61.01 all M_2 N_2 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),N_2)=zero_zero(nat)<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))).
% 61.39/61.01 all M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)=zero_zero(nat)).
% 61.39/61.01 all L M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),N)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),M)))).
% 61.39/61.01 all L M N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),L)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),L)))).
% 61.39/61.01 all I_2 N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),N))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),I_2))=I_2).
% 61.39/61.01 all N_2 K_1 M_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))-> (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)<->M_2=N_2))).
% 61.39/61.01 all N K M (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),M))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),N))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N))).
% 61.39/61.01 all N_2 K_1 M_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))))).
% 61.39/61.01 all M (zero_zero(nat)!=hAPP(nat,nat,suc,M)).
% 61.39/61.01 all Nat_3 (zero_zero(nat)!=hAPP(nat,nat,suc,Nat_3)).
% 61.39/61.01 all M (hAPP(nat,nat,suc,M)!=zero_zero(nat)).
% 61.39/61.01 all Nat_2 (hAPP(nat,nat,suc,Nat_2)!=zero_zero(nat)).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)).
% 61.39/61.01 all M N K (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M)),N)),hAPP(nat,nat,suc,K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),K)).
% 61.39/61.01 all M (zero_zero(nat)!=hAPP(nat,nat,suc,M)).
% 61.39/61.01 all M (hAPP(nat,nat,suc,M)!=zero_zero(nat)).
% 61.39/61.01 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)=zero_zero(nat)-> (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),M)=zero_zero(nat)->M=N)).
% 61.39/61.01 all I_2 J K (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),J)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),K)),J)).
% 61.39/61.01 all M (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),M)=zero_zero(nat)).
% 61.39/61.01 all M (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),zero_zero(nat))=M).
% 61.39/61.01 all N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),N)=zero_zero(nat)).
% 61.39/61.02 all X_a F1 F2 (hAPP(nat,X_a,hAPP(fun(nat,X_a),fun(nat,X_a),hAPP(X_a,fun(fun(nat,X_a),fun(nat,X_a)),nat_case(X_a),F1),F2),zero_zero(nat))=ti(X_a,F1)).
% 61.39/61.02 all M_2 N_2 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),hAPP(nat,nat,suc,N_2))=hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),combi(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),N_2))).
% 61.39/61.02 all I_2 K J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K)),I_2)).
% 61.39/61.02 all I_2 K J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K)),I_2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),K)).
% 61.39/61.02 all I_2 K J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K))).
% 61.39/61.02 all K_1 I_1 J_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))-> (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),I_1)=K_1<->J_2=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),I_1))).
% 61.39/61.02 all N M (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),N)=M).
% 61.39/61.02 all I_1 K_1 J_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),J_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1)),J_2)))).
% 61.39/61.02 all I_2 K J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K)).
% 61.39/61.02 all N M (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N))=M).
% 61.39/61.02 all M K N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),N))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),K)))).
% 61.39/61.02 all J_2 K_1 I_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)),I_1))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1)))).
% 61.39/61.02 all I_2 K J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),J)).
% 61.39/61.02 all C A_1 B (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A_1),B))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),C),A_1))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A_1),C)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),B),C))))).
% 61.39/61.02 all N_2 K_1 M_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))))).
% 61.39/61.02 all N M (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M)),N)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N))).
% 61.39/61.02 all I_1 J_2 K_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1)),J_2))).
% 61.39/61.02 all M N (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N))=M).
% 61.39/61.02 all M N hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),hAPP(nat,nat,suc,M))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),zero_zero(X_a)))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))))))).
% 61.39/61.02 all X_a (linord219039673up_add(X_a)-> (all Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),zero_zero(X_a)))))).
% 61.39/61.02 all X_a (linord219039673up_add(X_a)-> (all Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),Aa))))).
% 61.39/61.02 all X_a N Xs (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N)).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),zero_zero(X_a)))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),zero_zero(X_a)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 C (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),C))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),A_1))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B C A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),C))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all Y_1 X_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),X_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),Y_1))-> (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),X_1),Y_1)=zero_zero(X_a)<->ti(X_a,X_1)=zero_zero(X_a)&ti(X_a,Y_1)=zero_zero(X_a)))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))))))).
% 61.39/61.02 all X_a (linord219039673up_add(X_a)-> (all Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),zero_zero(X_a)))))).
% 61.39/61.02 all X_a (linord219039673up_add(X_a)-> (all Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),Aa))))).
% 61.39/61.02 all X_a N M Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),M),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))).
% 61.39/61.02 all X_a I_2 K X (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),K),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),K),I_2)),X)).
% 61.39/61.02 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))<->M_2=zero_zero(nat)| (exists J_1 (M_2=hAPP(nat,nat,suc,J_1)&hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_1),N_2))))).
% 61.39/61.02 all N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,zero_zero(nat))))<->N_2=zero_zero(nat)).
% 61.39/61.02 all N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2))<-> (exists M_1 (N_2=hAPP(nat,nat,suc,M_1)))).
% 61.39/61.02 all M_2 N_2 (hAPP(nat,nat,suc,zero_zero(nat))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)<->M_2=hAPP(nat,nat,suc,zero_zero(nat))&N_2=zero_zero(nat)|M_2=zero_zero(nat)&N_2=hAPP(nat,nat,suc,zero_zero(nat))).
% 61.39/61.02 all M_2 N_2 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)=hAPP(nat,nat,suc,zero_zero(nat))<->M_2=hAPP(nat,nat,suc,zero_zero(nat))&N_2=zero_zero(nat)|M_2=zero_zero(nat)&N_2=hAPP(nat,nat,suc,zero_zero(nat))).
% 61.39/61.02 all M_2 N_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)))<->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),M_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2))).
% 61.39/61.02 all X_a (hAPP(list(X_a),nat,size_size(list(X_a)),nil(X_a))=zero_zero(nat)).
% 61.39/61.02 all X_a Xs_1 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=zero_zero(nat)<->Xs_1=nil(X_a)).
% 61.39/61.02 all X_a X Xs (hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),zero_zero(nat))=ti(X_a,X)).
% 61.39/61.02 all X_a Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),zero_zero(nat)),Xs)=nil(X_a)).
% 61.39/61.02 all X_a N_2 Xs_1 (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1)=nil(X_a)<->N_2=zero_zero(nat)|Xs_1=nil(X_a)).
% 61.39/61.02 all X_a X Xs Y (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),zero_zero(nat)),Y)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Xs)).
% 61.39/61.02 all X_a X (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),zero_zero(nat)),X)=nil(X_a)).
% 61.39/61.02 all X_a N_2 X_1 (nil(X_a)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),X_1)<->N_2=zero_zero(nat)).
% 61.39/61.02 all X_a N_2 X_1 (hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),X_1)=nil(X_a)<->N_2=zero_zero(nat)).
% 61.39/61.02 all X_a X_1 N_2 Y_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1))))<->ti(X_a,X_1)=ti(X_a,Y_1)&N_2!=zero_zero(nat)).
% 61.39/61.02 all X_a Pa N_2 Aa ((exists X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Aa))))&hBOOL(hAPP(X_a,bool,Pa,X_2))))<->hBOOL(hAPP(X_a,bool,Pa,Aa))&N_2!=zero_zero(nat)).
% 61.39/61.02 all X_a Pa N_2 Aa ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Aa))))->hBOOL(hAPP(X_a,bool,Pa,X_2))))<->hBOOL(hAPP(X_a,bool,Pa,Aa))|N_2=zero_zero(nat)).
% 61.39/61.02 all X_a X N (N!=zero_zero(nat)->hAPP(list(X_a),X_a,last(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=ti(X_a,X)).
% 61.39/61.02 all X_a X N (N!=zero_zero(nat)->hAPP(list(X_a),X_a,hd(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=ti(X_a,X)).
% 61.39/61.02 all N_2 M_2 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(nat,nat,suc,N_2)),M_2)=hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),hAPP(fun(nat,nat),fun(nat,nat),hAPP(fun(nat,nat),fun(fun(nat,nat),fun(nat,nat)),combb(nat,nat,nat),suc),hAPP(nat,fun(nat,nat),ord_min(nat),N_2))),M_2)).
% 61.39/61.02 all M_2 N_2 (hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),M_2),hAPP(nat,nat,suc,N_2))=hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),hAPP(fun(nat,nat),fun(nat,nat),hAPP(fun(nat,nat),fun(fun(nat,nat),fun(nat,nat)),combb(nat,nat,nat),suc),hAPP(nat,fun(nat,nat),hAPP(fun(nat,fun(nat,nat)),fun(nat,fun(nat,nat)),combc(nat,nat,nat),ord_min(nat)),N_2))),M_2)).
% 61.39/61.02 all M K J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K)))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),hAPP(nat,nat,suc,J))).
% 61.39/61.02 all M K J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))->hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K))),M)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,J)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),M))).
% 61.39/61.02 all X_a N Xs Ys_1 (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))),Ys_1))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B C A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),C))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B C A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),zero_zero(X_a)))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),zero_zero(X_a)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))))))).
% 61.39/61.02 all X_a (ordere216010020id_add(X_a)-> (all B A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),zero_zero(X_a)))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))))))).
% 61.39/61.02 all X_a N Xs Ys_1 (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))),Ys_1))).
% 61.39/61.02 all X_a Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))<->Xs_1!=nil(X_a)).
% 61.39/61.02 all X_a X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))).
% 61.39/61.02 all X_a X_1 A_2 ((hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),A_2))->hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))),A_2)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))& (-hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),A_2))->hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))),A_2)=nil(X_a))).
% 61.39/61.02 all X_a Xs (Xs!=nil(X_a)->hAPP(list(X_a),X_a,hd(X_a),Xs)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),zero_zero(nat))).
% 61.39/61.02 all X_a Ys_1 N Xs ((hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),N)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),N))& (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),N)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))))).
% 61.39/61.02 all X_a Ys_1 X N Xs ((hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),N),X)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),N),X)),Ys_1))& (-hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),N),X)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Ys_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))),X)))).
% 61.39/61.02 all X_a I_2 Xs (hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),I_2)),hAPP(list(X_a),list(X_a),rev(X_a),Xs))).
% 61.39/61.02 all X_a I_2 Xs (hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),I_2)),hAPP(list(X_a),list(X_a),rev(X_a),Xs))).
% 61.39/61.02 all X_a A_1 List_1 (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_1),List_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),List_1)),hAPP(nat,nat,suc,zero_zero(nat)))).
% 61.39/61.02 all X_a Xs_1 (hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)=hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,fun(nat,bool)),fun(X_a,bool),hAPP(fun(fun(nat,bool),bool),fun(fun(X_a,fun(nat,bool)),fun(X_a,bool)),combb(fun(nat,bool),bool,X_a),fEx(nat)),hAPP(fun(nat,bool),fun(X_a,fun(nat,bool)),hAPP(fun(X_a,fun(fun(nat,bool),fun(nat,bool))),fun(fun(nat,bool),fun(X_a,fun(nat,bool))),combc(X_a,fun(nat,bool),fun(nat,bool)),hAPP(fun(X_a,fun(nat,fun(bool,bool))),fun(X_a,fun(fun(nat,bool),fun(nat,bool))),hAPP(fun(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool))),fun(fun(X_a,fun(nat,fun(bool,bool))),fun(X_a,fun(fun(nat,bool),fun(nat,bool)))),combb(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),X_a),combs(nat,bool,bool)),hAPP(fun(X_a,fun(nat,bool)),fun(X_a,fun(nat,fun(bool,bool))),hAPP(fun(fun(nat,bool),fun(nat,fun(bool,bool))),fun(fun(X_a,fun(nat,bool)),fun(X_a,fun(nat,fun(bool,bool)))),combb(fun(nat,bool),fun(nat,fun(bool,bool)),X_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj)),hAPP(fun(nat,X_a),fun(X_a,fun(nat,bool)),hAPP(fun(X_a,fun(fun(nat,X_a),fun(nat,bool))),fun(fun(nat,X_a),fun(X_a,fun(nat,bool))),combc(X_a,fun(nat,X_a),fun(nat,bool)),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(fun(nat,X_a),fun(nat,bool))),hAPP(fun(fun(X_a,bool),fun(fun(nat,X_a),fun(nat,bool))),fun(fun(X_a,fun(X_a,bool)),fun(X_a,fun(fun(nat,X_a),fun(nat,bool)))),combb(fun(X_a,bool),fun(fun(nat,X_a),fun(nat,bool)),X_a),combb(X_a,bool,nat)),fe_qual(X_a))),hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1))))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))))).
% 61.39/61.02 all N_2 Pa (-hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))-> (hBOOL(hAPP(nat,bool,Pa,N_2))-> (exists K_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_2),N_2))& (all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K_2))-> -hBOOL(hAPP(nat,bool,Pa,I))))&hBOOL(hAPP(nat,bool,Pa,K_2)))))).
% 61.39/61.02 all I_2 J (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))-> (exists K_2 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K_2))&hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K_2)=J))).
% 61.39/61.02 all X_a C_1 A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),C_1))->hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),B_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),C_1),A_2))=ti(fun(X_a,bool),A_2))).
% 61.39/61.02 all X_a D_2 B_1 A_2 C_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),C_1))-> (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),D_2),B_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),C_1),D_2))))).
% 61.39/61.02 all X_a A_2 B_1 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)),A_2)).
% 61.39/61.02 all N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))-> (exists M_1 (N=hAPP(nat,nat,suc,M_1)))).
% 61.39/61.02 all X_a (linordered_idom(X_a)-> (all Aa (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))<->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),zero_zero(X_a)))))).
% 61.39/61.02 all X_a Ca A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))-> -(hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)))).
% 61.39/61.02 all X_a B_1 Ca A_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))-> (-hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1))))).
% 61.39/61.02 all X_a Ca A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))-> -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1))).
% 61.39/61.02 all X_a Ca A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))).
% 61.39/61.02 all X_a A_2 B_1 (hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)),B_1)=hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)).
% 61.39/61.02 all X_a Ca A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))<->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))& -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1))).
% 61.39/61.02 all X_a A_2 B_1 (hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)=hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),B_1))))).
% 61.39/61.02 all X_a (linord219039673up_add(X_a)-> (all Aa (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)=zero_zero(X_a)<->ti(X_a,Aa)=zero_zero(X_a)))).
% 61.39/61.02 all X_a (linordered_semidom(X_a)-> (all B C A_1 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))-> (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))))))).
% 61.39/61.02 all Nat (hAPP(nat,nat,nat_size,hAPP(nat,nat,suc,Nat))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,nat_size,Nat)),hAPP(nat,nat,suc,zero_zero(nat)))).
% 61.39/61.02 all X_a (linordered_idom(X_a)-> (all X Y (ti(X_a,X)!=ti(X_a,Y)-> (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)))))).
% 61.39/61.02 hAPP(nat,nat,nat_size,zero_zero(nat))=zero_zero(nat).
% 61.39/61.02 all X_a A_2 B_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))-> (exists B_2 hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),B_2),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),B_1),A_2))))).
% 61.39/61.02 all I_1 Pa K_1 (hBOOL(hAPP(nat,bool,Pa,K_1))-> ((all N_1 (hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,N_1)))->hBOOL(hAPP(nat,bool,Pa,N_1))))->hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),K_1),I_1))))).
% 61.39/61.02 all N (N!=zero_zero(nat)-> (exists M_1 (N=hAPP(nat,nat,suc,M_1)))).
% 61.39/61.02 all N_2 Pa (hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))-> ((all N_1 (hBOOL(hAPP(nat,bool,Pa,N_1))->hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,N_1)))))->hBOOL(hAPP(nat,bool,Pa,N_2)))).
% 61.39/61.02 all Y (Y!=zero_zero(nat)-> -(all Nat_1 (Y!=hAPP(nat,nat,suc,Nat_1)))).
% 61.39/61.02 all Pa K_1 (hBOOL(hAPP(nat,bool,Pa,K_1))-> ((all N_1 (hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,N_1)))->hBOOL(hAPP(nat,bool,Pa,N_1))))->hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))))).
% 61.39/61.02 all Nat (hAPP(nat,nat,size_size(nat),hAPP(nat,nat,suc,Nat))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,size_size(nat),Nat)),hAPP(nat,nat,suc,zero_zero(nat)))).
% 61.39/61.02 all X_a Fa Aa List (hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),Fa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),List))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(X_a,nat,Fa,Aa)),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),Fa),List))),hAPP(nat,nat,suc,zero_zero(nat)))).
% 61.39/61.02 hAPP(nat,nat,size_size(nat),zero_zero(nat))=zero_zero(nat).
% 61.39/61.02 all N (hAPP(nat,nat,size_size(nat),N)=N).
% 61.39/61.02 all X_a Fa (hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),Fa),nil(X_a))=zero_zero(nat)).
% 61.39/61.02 all X_a Y_1 F X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Y_1),hAPP(X_a,nat,F,X_1)))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Y_1),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),F),Xs_1))))).
% 61.39/61.02 all X_a Y_1 F X_1 Xs_1 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),Y_1),hAPP(X_a,nat,F,X_1)))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),Y_1),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),F),Xs_1))))).
% 61.39/61.02 all X_a F G Xs_1 ((all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(X_a,nat,F,X_2)),hAPP(X_a,nat,G,X_2)))))->hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),F),Xs_1)),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),G),Xs_1)))).
% 61.39/61.02 all X_a A_2 XS (hAPP(fun(list(X_a),bool),fun(list(X_a),bool),hAPP(fun(X_a,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool)),set_Cons(X_a),A_2),XS)=hAPP(fun(list(X_a),bool),fun(list(X_a),bool),collect(list(X_a)),hAPP(fun(list(X_a),fun(X_a,bool)),fun(list(X_a),bool),hAPP(fun(fun(X_a,bool),bool),fun(fun(list(X_a),fun(X_a,bool)),fun(list(X_a),bool)),combb(fun(X_a,bool),bool,list(X_a)),fEx(X_a)),hAPP(fun(list(X_a),fun(X_a,fun(list(X_a),bool))),fun(list(X_a),fun(X_a,bool)),hAPP(fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,bool)),fun(fun(list(X_a),fun(X_a,fun(list(X_a),bool))),fun(list(X_a),fun(X_a,bool))),combb(fun(X_a,fun(list(X_a),bool)),fun(X_a,bool),list(X_a)),hAPP(fun(fun(list(X_a),bool),bool),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,bool)),combb(fun(list(X_a),bool),bool,X_a),fEx(list(X_a)))),hAPP(fun(X_a,fun(list(X_a),bool)),fun(list(X_a),fun(X_a,fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool)))),fun(fun(X_a,fun(list(X_a),bool)),fun(list(X_a),fun(X_a,fun(list(X_a),bool)))),combc(list(X_a),fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),fun(list(X_a),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool)))),hAPP(fun(fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool)))),fun(fun(list(X_a),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),fun(list(X_a),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool))))),combb(fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool))),list(X_a)),combs(X_a,fun(list(X_a),bool),fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(X_a,fun(list(X_a),fun(bool,bool)))),fun(list(X_a),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),hAPP(fun(fun(X_a,fun(list(X_a),fun(bool,bool))),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),fun(fun(list(X_a),fun(X_a,fun(list(X_a),fun(bool,bool)))),fun(list(X_a),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))))),combb(fun(X_a,fun(list(X_a),fun(bool,bool))),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),list(X_a)),hAPP(fun(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(X_a,fun(list(X_a),fun(bool,bool))),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),combb(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool)),X_a),combs(list(X_a),bool,bool))),hAPP(fun(list(X_a),fun(X_a,fun(list(X_a),bool))),fun(list(X_a),fun(X_a,fun(list(X_a),fun(bool,bool)))),hAPP(fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),fun(bool,bool)))),fun(fun(list(X_a),fun(X_a,fun(list(X_a),bool))),fun(list(X_a),fun(X_a,fun(list(X_a),fun(bool,bool))))),combb(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),fun(bool,bool))),list(X_a)),hAPP(fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),fun(bool,bool)))),combb(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool)),X_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),combb(bool,fun(bool,bool),list(X_a)),fconj))),hAPP(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),fun(X_a,fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool)))),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),fun(X_a,fun(list(X_a),bool)))),combc(list(X_a),fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool))),fun(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool)))),hAPP(fun(fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool)),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool)))),fun(fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool))),fun(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool))))),combb(fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool)),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool))),list(X_a)),combb(fun(list(X_a),list(X_a)),fun(list(X_a),bool),X_a)),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool))),hAPP(fun(fun(list(X_a),bool),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool)))),combb(fun(list(X_a),bool),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool)),list(X_a)),combb(list(X_a),bool,list(X_a))),fe_qual(list(X_a))))),cons(X_a)))))),hAPP(fun(list(X_a),bool),fun(X_a,fun(list(X_a),bool)),hAPP(fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),bool),fun(X_a,fun(list(X_a),bool))),combc(X_a,fun(list(X_a),bool),fun(list(X_a),bool)),hAPP(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),hAPP(fun(fun(bool,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),combb(fun(bool,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool)),X_a),combb(bool,bool,list(X_a))),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2)))),hAPP(fun(list(X_a),bool),fun(list(X_a),bool),hAPP(fun(list(X_a),fun(fun(list(X_a),bool),bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool)),combc(list(X_a),fun(list(X_a),bool),bool),member(list(X_a))),XS))))))).
% 61.39/61.02 all X_a (comm_semiring_1(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1)=ti(X_a,A_1)))).
% 61.39/61.02 all X_a (comm_semiring_1(X_a)-> (all A_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a))=ti(X_a,A_1)))).
% 61.39/61.02 all X_a (comm_semiring_1(X_a)-> (all A_1 B C D_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D_1))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))))).
% 61.39/61.02 all X_a (comm_semiring_1(X_a)-> (all A_1 B C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),B)))).
% 61.39/61.02 all X_a (comm_semiring_1(X_a)-> (all A_1 B C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C))))).
% 61.39/61.02 all X_a (comm_semiring_1(X_a)-> (all A_1 C D_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D_1))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),D_1)))).
% 61.39/61.02 all X_a (comm_semiring_1(X_a)-> (all A_1 C D_1 (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D_1))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),D_1))))).
% 61.39/61.02 all X_a (comm_semiring_1(X_a)-> (all A_1 C (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)))).
% 61.39/61.02 all X_a (semiri456707255roduct(X_a)-> (all Ba Aa (ti(X_a,Ba)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Aa)<->ti(X_a,Aa)=zero_zero(X_a)))).
% 61.39/61.02 all X_a (linordered_field(X_a)-> (all X Y ((all E (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),E))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Y),E)))))->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))))).
% 61.39/61.02 all X_a X_b Xs_1 Ys (hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))=hAPP(fun(product_prod(X_a,X_b),bool),fun(product_prod(X_a,X_b),bool),collect(product_prod(X_a,X_b)),hAPP(fun(product_prod(X_a,X_b),fun(nat,bool)),fun(product_prod(X_a,X_b),bool),hAPP(fun(fun(nat,bool),bool),fun(fun(product_prod(X_a,X_b),fun(nat,bool)),fun(product_prod(X_a,X_b),bool)),combb(fun(nat,bool),bool,product_prod(X_a,X_b)),fEx(nat)),hAPP(fun(nat,bool),fun(product_prod(X_a,X_b),fun(nat,bool)),hAPP(fun(product_prod(X_a,X_b),fun(fun(nat,bool),fun(nat,bool))),fun(fun(nat,bool),fun(product_prod(X_a,X_b),fun(nat,bool))),combc(product_prod(X_a,X_b),fun(nat,bool),fun(nat,bool)),hAPP(fun(product_prod(X_a,X_b),fun(nat,fun(bool,bool))),fun(product_prod(X_a,X_b),fun(fun(nat,bool),fun(nat,bool))),hAPP(fun(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool))),fun(fun(product_prod(X_a,X_b),fun(nat,fun(bool,bool))),fun(product_prod(X_a,X_b),fun(fun(nat,bool),fun(nat,bool)))),combb(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),product_prod(X_a,X_b)),combs(nat,bool,bool)),hAPP(fun(product_prod(X_a,X_b),fun(nat,bool)),fun(product_prod(X_a,X_b),fun(nat,fun(bool,bool))),hAPP(fun(fun(nat,bool),fun(nat,fun(bool,bool))),fun(fun(product_prod(X_a,X_b),fun(nat,bool)),fun(product_prod(X_a,X_b),fun(nat,fun(bool,bool)))),combb(fun(nat,bool),fun(nat,fun(bool,bool)),product_prod(X_a,X_b)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj)),hAPP(fun(nat,product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),fun(nat,bool)),hAPP(fun(product_prod(X_a,X_b),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool))),fun(fun(nat,product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),fun(nat,bool))),combc(product_prod(X_a,X_b),fun(nat,product_prod(X_a,X_b)),fun(nat,bool)),hAPP(fun(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),bool)),fun(product_prod(X_a,X_b),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool))),hAPP(fun(fun(product_prod(X_a,X_b),bool),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool))),fun(fun(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),bool)),fun(product_prod(X_a,X_b),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool)))),combb(fun(product_prod(X_a,X_b),bool),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool)),product_prod(X_a,X_b)),combb(product_prod(X_a,X_b),bool,nat)),fe_qual(product_prod(X_a,X_b)))),hAPP(fun(nat,X_b),fun(nat,product_prod(X_a,X_b)),hAPP(fun(nat,fun(X_b,product_prod(X_a,X_b))),fun(fun(nat,X_b),fun(nat,product_prod(X_a,X_b))),combs(nat,X_b,product_prod(X_a,X_b)),hAPP(fun(nat,X_a),fun(nat,fun(X_b,product_prod(X_a,X_b))),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(fun(nat,X_a),fun(nat,fun(X_b,product_prod(X_a,X_b)))),combb(X_a,fun(X_b,product_prod(X_a,X_b)),nat),product_Pair(X_a,X_b)),hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1))),hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys)))))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),hAPP(list(X_b),nat,size_size(list(X_b)),Ys))))))).
% 61.39/61.02 all X_a X_b Xs Ys_1 (hAPP(list(product_prod(X_a,X_b)),nat,size_size(list(product_prod(X_a,X_b))),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1))).
% 61.39/61.02 all X_a X_b Xs Ys_1 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)->hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),rev(X_a),Xs)),hAPP(list(X_b),list(X_b),rev(X_b),Ys_1))=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),rev(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))).
% 61.39/61.02 all X_a X_b Ys_1 Vs_2 Xs Us_2 (hAPP(list(X_a),nat,size_size(list(X_a)),Xs)=hAPP(list(X_b),nat,size_size(list(X_b)),Us_2)-> (hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Vs_2)->hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Us_2),Vs_2))=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(list(product_prod(X_a,X_b)),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),append(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Us_2)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Ys_1),Vs_2)))).
% 61.39/61.02 all X_b X_a X_1 Xs_1 Ys (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys)=hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(fun(X_b,fun(list(X_b),list(product_prod(X_a,X_b)))),fun(list(X_b),list(product_prod(X_a,X_b))),hAPP(list(product_prod(X_a,X_b)),fun(fun(X_b,fun(list(X_b),list(product_prod(X_a,X_b)))),fun(list(X_b),list(product_prod(X_a,X_b)))),list_case(list(product_prod(X_a,X_b)),X_b),nil(product_prod(X_a,X_b))),hAPP(fun(list(X_b),list(product_prod(X_a,X_b))),fun(X_b,fun(list(X_b),list(product_prod(X_a,X_b)))),hAPP(fun(X_b,fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b))))),fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(X_b,fun(list(X_b),list(product_prod(X_a,X_b))))),combc(X_b,fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b)))),hAPP(fun(X_b,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(X_b,fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b))))),hAPP(fun(fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b))))),fun(fun(X_b,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(X_b,fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b)))))),combb(fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b)))),X_b),combb(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),list(X_b))),hAPP(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),hAPP(fun(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))))),combb(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),X_b),cons(product_prod(X_a,X_b))),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1)))),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1))),Ys)).
% 61.39/61.02 all X_b X_a Xs_1 Y_1 Ys (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys))=hAPP(list(X_a),list(product_prod(X_a,X_b)),hAPP(fun(X_a,fun(list(X_a),list(product_prod(X_a,X_b)))),fun(list(X_a),list(product_prod(X_a,X_b))),hAPP(list(product_prod(X_a,X_b)),fun(fun(X_a,fun(list(X_a),list(product_prod(X_a,X_b)))),fun(list(X_a),list(product_prod(X_a,X_b)))),list_case(list(product_prod(X_a,X_b)),X_a),nil(product_prod(X_a,X_b))),hAPP(fun(list(X_a),list(product_prod(X_a,X_b))),fun(X_a,fun(list(X_a),list(product_prod(X_a,X_b)))),hAPP(fun(X_a,fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b))))),fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(X_a,fun(list(X_a),list(product_prod(X_a,X_b))))),combc(X_a,fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b)))),hAPP(fun(X_a,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(X_a,fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b))))),hAPP(fun(fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b))))),fun(fun(X_a,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(X_a,fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b)))))),combb(fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b)))),X_a),combb(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),list(X_a))),hAPP(fun(X_a,product_prod(X_a,X_b)),fun(X_a,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),hAPP(fun(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(fun(X_a,product_prod(X_a,X_b)),fun(X_a,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))))),combb(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),X_a),cons(product_prod(X_a,X_b))),hAPP(X_b,fun(X_a,product_prod(X_a,X_b)),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_b,fun(X_a,product_prod(X_a,X_b))),combc(X_a,X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b)),Y_1)))),hAPP(list(X_b),fun(list(X_a),list(product_prod(X_a,X_b))),hAPP(fun(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b)))),fun(list(X_b),fun(list(X_a),list(product_prod(X_a,X_b)))),combc(list(X_a),list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b)),Ys))),Xs_1)).
% 61.39/61.02 all X_b X_a Xs I_2 X Ys_1 Y (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),hAPP(X_b,list(X_b),hAPP(nat,fun(X_b,list(X_b)),hAPP(list(X_b),fun(nat,fun(X_b,list(X_b))),list_update(X_b),Ys_1),I_2),Y))=hAPP(product_prod(X_a,X_b),list(product_prod(X_a,X_b)),hAPP(nat,fun(product_prod(X_a,X_b),list(product_prod(X_a,X_b))),hAPP(list(product_prod(X_a,X_b)),fun(nat,fun(product_prod(X_a,X_b),list(product_prod(X_a,X_b)))),list_update(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1)),I_2),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X),Y))).
% 61.39/61.02 all X_b X_a X Xs Y Ys_1 (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y),Ys_1))=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),cons(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X),Y)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))).
% 61.39/61.02 all X_a X_b X_1 Y_1 Xs_1 Ys (hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))-> -(hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))-> -hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),Y_1),hAPP(list(X_b),fun(X_b,bool),set(X_b),Ys))))).
% 61.39/61.02 all X_a X_b X_1 Y_1 Xs_1 Ys (hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))->hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),Y_1),hAPP(list(X_b),fun(X_b,bool),set(X_b),Ys)))).
% 61.39/61.02 all X_a X_b X_1 Y_1 Xs_1 Ys (hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))).
% 61.39/61.02 all X_a Aa Ba Xs_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Xs_1))))<->hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Aa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))&ti(X_a,Aa)=ti(X_a,Ba)).
% 61.39/61.02 all X_b X_a Xs (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),nil(X_b))=nil(product_prod(X_a,X_b))).
% 61.39/61.02 all X_b X_a Ys_1 (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),nil(X_a)),Ys_1)=nil(product_prod(X_a,X_b))).
% 61.39/61.02 all X_b X_a Xs Ys_1 (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Ys_1))->hBOOL(hAPP(list(product_prod(X_b,X_a)),bool,distinct(product_prod(X_b,X_a)),hAPP(list(X_a),list(product_prod(X_b,X_a)),hAPP(list(X_b),fun(list(X_a),list(product_prod(X_b,X_a))),zip(X_b,X_a),Xs),Ys_1)))).
% 61.39/61.02 all X_b X_a Ys_1 Xs (hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))->hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,distinct(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1)))).
% 61.39/61.02 all X_a X_b N Xs Ys_1 (hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(nat,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),take(product_prod(X_a,X_b)),N),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))=hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),take(X_b),N),Ys_1))).
% 61.39/61.02 all X_a X_b N Xs Ys_1 (hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(nat,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),drop(product_prod(X_a,X_b)),N),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))=hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),drop(X_b),N),Ys_1))).
% 61.39/61.02 all X_b X_a I_2 X J Y (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),I_2),X)),hAPP(X_b,list(X_b),hAPP(nat,fun(X_b,list(X_b)),replicate(X_b),J),Y))=hAPP(product_prod(X_a,X_b),list(product_prod(X_a,X_b)),hAPP(nat,fun(product_prod(X_a,X_b),list(product_prod(X_a,X_b))),replicate(product_prod(X_a,X_b)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),I_2),J)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X),Y))).
% 61.39/61.02 all X_b X_a Ys_1 I_2 Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)))->hAPP(nat,product_prod(X_a,X_b),hAPP(list(product_prod(X_a,X_b)),fun(nat,product_prod(X_a,X_b)),nth(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1)),I_2)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys_1),I_2)))).
% 61.39/61.02 all X_b X_a Xs Ys_1 Zs_2 (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),Zs_2)=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(list(product_prod(X_a,X_b)),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),append(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),take(X_b),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),Zs_2))),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Ys_1),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),drop(X_b),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),Zs_2)))).
% 61.39/61.02 all X_b X_a Xs Ys_1 Zs_2 (hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys_1),Zs_2))=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(list(product_prod(X_a,X_b)),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),append(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)),Xs)),Ys_1)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)),Xs)),Zs_2))).
% 61.39/61.02 all X_a X_b Pa Xs_1 Ys ((all Zs Ws N_1 (hAPP(list(X_a),nat,size_size(list(X_a)),Zs)=hAPP(list(X_b),nat,size_size(list(X_b)),Ws)-> (N_1=hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),hAPP(list(X_b),nat,size_size(list(X_b)),Ys))-> (Zs=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_1),Xs_1)-> (Ws=hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),take(X_b),N_1),Ys)->hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,Pa,hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Zs),Ws))))))))->hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,Pa,hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys)))).
% 61.39/61.02 all X_a Xs_1 Ys R_1 (hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))<->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)& (all X_2 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),X_2),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Ys))))->hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),hAPP(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),hAPP(fun(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)))),combb(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),X_a),combc(X_a,fun(product_prod(X_a,X_a),bool),bool)),hAPP(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),hAPP(fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)))),combb(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),combb(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),X_a),member(product_prod(X_a,X_a)))),product_Pair(X_a,X_a)))),R_1)),X_2))))).
% 61.39/61.02 all X_a A_2 R_1 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))<-> (all X_2 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),X_2),R_1))->hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),hAPP(fun(X_a,bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),fun(fun(X_a,bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(X_a,bool),fun(X_a,bool)),hAPP(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),hAPP(fun(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool))),fun(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(X_a,bool),fun(X_a,bool)))),combb(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),X_a),combb(bool,bool,X_a)),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2)))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2))),X_2))))& (all X_2 (hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),A_2))->hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),X_2)),R_1))))).
% 61.39/61.02 all X_a Xs_1 Ys (Xs_1=Ys<->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)& (all X_2 (hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),X_2),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Ys))))->hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),fe_qual(X_a)),X_2))))).
% 61.39/61.02 all X_b X_a Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))<->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)& (all X_2 (hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),X_2),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))->hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Pa),X_2))))).
% 61.39/61.02 all X_a A_2 As_1 (hAPP(list(fun(X_a,bool)),fun(list(X_a),bool),listset(X_a),hAPP(list(fun(X_a,bool)),list(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(list(fun(X_a,bool)),list(fun(X_a,bool))),cons(fun(X_a,bool)),A_2),As_1))=hAPP(fun(list(X_a),bool),fun(list(X_a),bool),hAPP(fun(X_a,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool)),set_Cons(X_a),A_2),hAPP(list(fun(X_a,bool)),fun(list(X_a),bool),listset(X_a),As_1))).
% 61.39/61.02 all X_b X_a Ca D Pa Aa Ba (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Aa),Ba))-> (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Ca),D))->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Aa),Ca)),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ba),D))))).
% 61.39/61.02 all X_b X_a Pa Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),nil(X_a)),Ys))<->Ys=nil(X_b)).
% 61.39/61.02 all X_b X_a Pa Xs_1 (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),nil(X_b)))<->Xs_1=nil(X_a)).
% 61.39/61.02 all X_b X_a Pa X_1 Xs_1 Y_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))<->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))&hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))).
% 61.39/61.02 all X_b X_a N_2 Pa As Bs (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),As),Bs))->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),As)),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),drop(X_b),N_2),Bs)))).
% 61.39/61.02 all X_b X_a Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)),hAPP(list(X_b),list(X_b),rev(X_b),Ys)))<->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))).
% 61.39/61.02 all X_b X_a Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)),Ys))<->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),rev(X_b),Ys)))).
% 61.39/61.02 all X_b X_a N_2 Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1)),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),take(X_b),N_2),Ys)))).
% 61.39/61.02 all X_b X_a Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)).
% 61.39/61.02 all X_a X_b Pa Us_1 Vs_1 Xs_1 Ys (hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)-> (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us_1)),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Vs_1)))<->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))&hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Us_1),Vs_1)))).
% 61.39/61.02 all X_b X_a Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))<->hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)& (all I (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys),I)))))).
% 61.39/61.02 all X_b X_a P_1 Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),P_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),P_1)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys),P_1))))).
% 61.39/61.02 all X_b X_a P_1 Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),P_1),hAPP(list(X_b),nat,size_size(list(X_b)),Ys)))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),P_1)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys),P_1))))).
% 61.39/61.02 all X_a Xs_1 Ys (Xs_1=Ys<->hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),list_all2(X_a,X_a),fe_qual(X_a)),Xs_1),Ys))).
% 61.39/61.02 all X_b X_a I_1 X_1 Y_1 Pa Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))-> (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))-> (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_b),nat,size_size(list(X_b)),Ys)))->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1)),hAPP(X_b,list(X_b),hAPP(nat,fun(X_b,list(X_b)),hAPP(list(X_b),fun(nat,fun(X_b,list(X_b))),list_update(X_b),Ys),I_1),Y_1)))))).
% 61.39/61.02 all X_b X_a X_1 Y_1 Pa Ys I_1 Xs_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))-> (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))-> (hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1)),hAPP(X_b,list(X_b),hAPP(nat,fun(X_b,list(X_b)),hAPP(list(X_b),fun(nat,fun(X_b,list(X_b))),list_update(X_b),Ys),I_1),Y_1)))))).
% 61.39/61.02 all X_a X_b Pa Aa Ba ((all X_2 (hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),X_2),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Aa),Ba))))->hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Pa),X_2))))-> (hAPP(list(X_a),nat,size_size(list(X_a)),Aa)=hAPP(list(X_b),nat,size_size(list(X_b)),Ba)->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Aa),Ba)))).
% 61.39/61.02 all X_a X_b Pa Aa Ba (hAPP(list(X_a),nat,size_size(list(X_a)),Aa)=hAPP(list(X_b),nat,size_size(list(X_b)),Ba)-> ((all N_1 (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_1),hAPP(list(X_a),nat,size_size(list(X_a)),Aa)))->hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Aa),N_1)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ba),N_1)))))->hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Aa),Ba)))).
% 61.39/61.02 all X_b X_a Pa Xs_1 Ys Zs_1 (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Zs_1)))<-> (exists Us Vs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us),Vs)&hAPP(list(X_a),nat,size_size(list(X_a)),Us)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)&hAPP(list(X_a),nat,size_size(list(X_a)),Vs)=hAPP(list(X_b),nat,size_size(list(X_b)),Zs_1)&hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Us),Ys))&hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Vs),Zs_1))))).
% 61.39/61.02 all X_b X_a Pa Xs_1 Ys Zs_1 (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)),Zs_1))<-> (exists Us Vs (Zs_1=hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Us),Vs)&hAPP(list(X_b),nat,size_size(list(X_b)),Us)=hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)&hAPP(list(X_b),nat,size_size(list(X_b)),Vs)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)&hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Us))&hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Ys),Vs))))).
% 61.39/61.02 all X_b X_a Pa Xs_1 Y_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))<-> (exists Z Zs (Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Z),Zs)&hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Z),Y_1))&hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Zs),Ys))))).
% 61.39/61.02 all X_b X_a Pa X_1 Xs_1 Ys (hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys))<-> (exists Z Zs (Ys=hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Z),Zs)&hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Z))&hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Zs))))).
% 61.39/61.02 all X_a X K Xs (Xs!=nil(X_a)-> (K=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))->hAPP(list(X_a),X_a,last(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),K),X))=ti(X_a,X))& (K!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))->hAPP(list(X_a),X_a,last(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),K),X))=hAPP(list(X_a),X_a,last(X_a),Xs))).
% 61.39/61.02 all X_a N Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))->hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))),Xs)).
% 61.39/61.02 all X_a (linordered_semidom(X_a)-> (all A_1 hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),one_one(X_a)))))).
% 61.39/61.02 all X_a (linordered_semidom(X_a)-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),one_one(X_a)),zero_zero(X_a)))).
% 61.39/61.02 all X_a (linordered_semidom(X_a)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),one_one(X_a)))).
% 61.39/61.02 all X_a (zero_ne_q_one(X_a)->zero_zero(X_a)!=one_one(X_a)).
% 61.39/61.02 all X_a (zero_ne_q_one(X_a)->one_one(X_a)!=zero_zero(X_a)).
% 61.39/61.02 all X_a (linordered_semidom(X_a)-> -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),one_one(X_a)),zero_zero(X_a)))).
% 61.39/61.02 all X_a (linordered_semidom(X_a)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),one_one(X_a)))).
% 61.39/61.02 all X_a (linordered_semidom(X_a)->hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),one_one(X_a)),one_one(X_a))))).
% 61.39/61.02 one_one(nat)=hAPP(nat,nat,suc,zero_zero(nat)).
% 61.39/61.02 all X_a (one(X_a)-> (all X_1 (one_one(X_a)=ti(X_a,X_1)<->ti(X_a,X_1)=one_one(X_a)))).
% 61.39/61.02 all N (hAPP(nat,nat,suc,N)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),one_one(nat))).
% 61.39/61.02 all N (hAPP(nat,nat,suc,N)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),N)).
% 61.39/61.02 all N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,N)),one_one(nat))=N).
% 61.39/61.02 all M N (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),hAPP(nat,nat,suc,N))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),one_one(nat))),N)).
% 61.39/61.02 all X_a X Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),one_one(nat)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a))).
% 61.39/61.02 all X_a X Xs (hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),one_one(nat)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=Xs).
% 61.39/61.02 all X_a Xs (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))).
% 61.39/61.02 all X_a Xs (hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),tl(X_a),Xs))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))).
% 61.39/61.02 all X_a N Xs (hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))),hAPP(list(X_a),list(X_a),tl(X_a),Xs))).
% 61.39/61.02 all X_a Xs (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat)))->hAPP(list(X_a),list(X_a),rotate1(X_a),Xs)=Xs).
% 61.39/61.02 all N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))->N=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat)))).
% 61.39/61.02 all N (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))->hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat)))=N).
% 61.39/61.02 all N M ((M=zero_zero(nat)->hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)=N)& (M!=zero_zero(nat)->hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),one_one(nat))),N)))).
% 61.39/61.02 all X_a X Xs N ((N=zero_zero(nat)->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),N)=ti(X_a,X))& (N!=zero_zero(nat)->hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),N)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))))).
% 61.39/61.02 all X_a X Xs N ((N=zero_zero(nat)->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))& (N!=zero_zero(nat)->hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))),Xs))).
% 61.39/61.02 all X_a Xs (hAPP(list(X_a),list(X_a),butlast(X_a),Xs)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))),Xs)).
% 61.39/61.02 all X_a X K Xs ((K=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))->hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),K),X))=hAPP(list(X_a),list(X_a),butlast(X_a),Xs))& (K!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))->hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),K),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs)),K),X))).
% 61.39/61.04 all X_a X N (N!=zero_zero(nat)->hAPP(list(X_a),list(X_a),tl(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))),X)).
% 61.39/61.04 all T_2 T_1 (enum(T_1)&enum(T_2)->enum(product_prod(T_2,T_1))).
% 61.39/61.04 enum(bool).
% 61.39/61.04 all T_2 T_1 (enum(T_1)&enum(T_2)->enum(fun(T_2,T_1))).
% 61.39/61.04 all T_2 T_1 (preorder(T_1)->preorder(fun(T_2,T_1))).
% 61.39/61.04 all T_2 T_1 (order(T_1)->order(fun(T_2,T_1))).
% 61.39/61.04 all T_2 T_1 (top(T_1)->top(fun(T_2,T_1))).
% 61.39/61.04 all T_2 T_1 (ord(T_1)->ord(fun(T_2,T_1))).
% 61.39/61.04 all T_2 T_1 (minus(T_1)->minus(fun(T_2,T_1))).
% 61.39/61.04 all T_2 T_1 (cl_HOL_Oe_qual(T_1)&enum(T_2)->cl_HOL_Oe_qual(fun(T_2,T_1))).
% 61.39/61.04 semiri456707255roduct(nat).
% 61.39/61.04 ordere223160158up_add(nat).
% 61.39/61.04 ordere236663937imp_le(nat).
% 61.39/61.04 ordere779506340up_add(nat).
% 61.39/61.04 ordere216010020id_add(nat).
% 61.39/61.04 cancel146912293up_add(nat).
% 61.39/61.04 cancel_semigroup_add(nat).
% 61.39/61.04 linordered_semidom(nat).
% 61.39/61.04 ab_semigroup_add(nat).
% 61.39/61.04 comm_monoid_add(nat).
% 61.39/61.04 comm_semiring_1(nat).
% 61.39/61.04 zero_ne_q_one(nat).
% 61.39/61.04 preorder(nat).
% 61.39/61.04 linorder(nat).
% 61.39/61.04 monoid_add(nat).
% 61.39/61.04 order(nat).
% 61.39/61.04 ord(nat).
% 61.39/61.04 minus(nat).
% 61.39/61.04 zero(nat).
% 61.39/61.04 one(nat).
% 61.39/61.04 cl_HOL_Oe_qual(nat).
% 61.39/61.04 preorder(bool).
% 61.39/61.04 order(bool).
% 61.39/61.04 top(bool).
% 61.39/61.04 ord(bool).
% 61.39/61.04 minus(bool).
% 61.39/61.04 cl_HOL_Oe_qual(bool).
% 61.39/61.04 all T_1 cl_HOL_Oe_qual(list(T_1)).
% 61.39/61.04 all T_2 T_1 cl_HOL_Oe_qual(product_prod(T_2,T_1)).
% 61.39/61.04 all T A (ti(T,ti(T,A))=ti(T,A)).
% 61.39/61.04 all X_a X Y (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),hAPP(bool,fun(X_a,fun(X_a,X_a)),if(X_a),fTrue),X),Y)=ti(X_a,X)).
% 61.39/61.04 all X_a X Y (hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),hAPP(bool,fun(X_a,fun(X_a,X_a)),if(X_a),fFalse),X),Y)=ti(X_a,Y)).
% 61.39/61.04 all P (ti(bool,P)=fTrue|ti(bool,P)=fFalse).
% 61.39/61.04 all X_a P X (-hBOOL(hAPP(X_a,bool,P,X))|hBOOL(hAPP(fun(X_a,bool),bool,fEx(X_a),P))).
% 61.39/61.04 all P (-hBOOL(hAPP(bool,bool,fNot,P))| -hBOOL(P)).
% 61.39/61.04 all P (hBOOL(P)|hBOOL(hAPP(bool,bool,fNot,P))).
% 61.39/61.04 all X_a X_c X_b P Q R (hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c)),combb(X_b,X_c,X_a),P),Q),R)=hAPP(X_b,X_c,P,hAPP(X_a,X_b,Q,R))).
% 61.39/61.04 all X_a X_c X_b P Q R (hAPP(X_a,X_c,hAPP(X_b,fun(X_a,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(X_b,fun(X_a,X_c)),combc(X_a,X_b,X_c),P),Q),R)=hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),Q)).
% 61.39/61.04 all X_a P (hAPP(X_a,X_a,combi(X_a),P)=ti(X_a,P)).
% 61.39/61.04 all X_b X_a P Q (hAPP(X_b,X_a,hAPP(X_a,fun(X_b,X_a),combk(X_a,X_b),P),Q)=ti(X_a,P)).
% 61.39/61.04 all X_a X_c X_b P Q R (hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c)),combs(X_a,X_b,X_c),P),Q),R)=hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),hAPP(X_a,X_b,Q,R))).
% 61.39/61.04 hBOOL(fTrue).
% 61.39/61.04 all P (ti(bool,P)=fTrue|ti(bool,P)=fFalse).
% 61.39/61.04 all Q P (-hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))).
% 61.39/61.04 all P Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))|hBOOL(P)).
% 61.39/61.04 all P Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))|hBOOL(Q)).
% 61.39/61.04 all Q P (-hBOOL(P)|hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q))).
% 61.39/61.04 all P Q (-hBOOL(Q)|hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q))).
% 61.39/61.04 all P Q (-hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q))|hBOOL(P)|hBOOL(Q)).
% 61.39/61.04 -hBOOL(fFalse).
% 61.39/61.04 all P (ti(bool,P)=fTrue|ti(bool,P)=fFalse).
% 61.39/61.04 all X_a X Y (-hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fe_qual(X_a),X),Y))|ti(X_a,X)=ti(X_a,Y)).
% 61.39/61.04 all X_a X Y (ti(X_a,X)!=ti(X_a,Y)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fe_qual(X_a),X),Y))).
% 61.39/61.04 -(all I (hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,I)))<->hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),c)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,I)),c),b))))).
% 61.39/61.04 end_of_list.
% 61.39/61.04
% 61.39/61.04 -------> usable clausifies to:
% 61.39/61.04
% 61.39/61.04 list(usable).
% 61.39/61.04 0 [] A=A.
% 61.39/61.04 0 [] ti(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),arrow_1541970350le_IIA)=arrow_1541970350le_IIA.
% 61.39/61.04 0 [] ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),arrow_1568854078le_Lin)=arrow_1568854078le_Lin.
% 61.39/61.04 0 [] ti(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),arrow_301600364e_Prof)=arrow_301600364e_Prof.
% 61.39/61.04 0 [] ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),arrow_357225482_above)=arrow_357225482_above.
% 61.39/61.04 0 [] ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),arrow_1665824030_below)=arrow_1665824030_below.
% 61.39/61.04 0 [] ti(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool)),arrow_708804735ctator)=arrow_708804735ctator.
% 61.39/61.04 0 [] ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1622070166_mkbot)=arrow_1622070166_mkbot.
% 61.39/61.04 0 [] ti(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1770777252_mktop)=arrow_1770777252_mktop.
% 61.39/61.04 0 [] ti(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),arrow_1066301521nimity)=arrow_1066301521nimity.
% 61.39/61.04 0 [] ti(fun(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c))),combb(X_b,X_c,X_a))=combb(X_b,X_c,X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,fun(X_b,X_c)),fun(X_b,fun(X_a,X_c))),combc(X_a,X_b,X_c))=combc(X_a,X_b,X_c).
% 61.39/61.04 0 [] ti(fun(X_a,X_a),combi(X_a))=combi(X_a).
% 61.39/61.04 0 [] ti(fun(X_a,fun(X_b,X_a)),combk(X_a,X_b))=combk(X_a,X_b).
% 61.39/61.04 0 [] ti(fun(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c))),combs(X_a,X_b,X_c))=combs(X_a,X_b,X_c).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool))),in_rel(X_a,X_b))=in_rel(X_a,X_b).
% 61.39/61.04 0 [] ti(fun(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool))),pi(X_a,X_b))=pi(X_a,X_b).
% 61.39/61.04 0 [] -minus(X_a)|ti(fun(X_a,fun(X_a,X_a)),minus_minus(X_a))=minus_minus(X_a).
% 61.39/61.04 0 [] -one(X_a)|ti(X_a,one_one(X_a))=one_one(X_a).
% 61.39/61.04 0 [] -monoid_add(X_a)|ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a))=plus_plus(X_a).
% 61.39/61.04 0 [] -ab_semigroup_add(X_a)|ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a))=plus_plus(X_a).
% 61.39/61.04 0 [] -cancel_semigroup_add(X_a)|ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a))=plus_plus(X_a).
% 61.39/61.04 0 [] -zero(X_a)|ti(X_a,zero_zero(X_a))=zero_zero(X_a).
% 61.39/61.04 0 [] -cl_HOL_Oe_qual(X_a)|ti(fun(X_a,fun(X_a,bool)),e_qual_e_qual(X_a))=e_qual_e_qual(X_a).
% 61.39/61.04 0 [] ti(X_a,undefined(X_a))=undefined(X_a).
% 61.39/61.04 0 [] ti(fun(bool,fun(X_a,fun(X_a,X_a))),if(X_a))=if(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),fun(list(X_a),list(X_a))),append(X_a))=append(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),list(X_a)),butlast(X_a))=butlast(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),bool),distinct(X_a))=distinct(X_a).
% 61.39/61.04 0 [] ti(fun(nat,fun(list(X_a),list(X_a))),drop(X_a))=drop(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,bool),fun(list(X_a),list(X_a))),dropWhile(X_a))=dropWhile(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),X_a),hd(X_a))=hd(X_a).
% 61.39/61.04 0 [] ti(fun(X_a,fun(list(X_a),list(X_a))),insert(X_a))=insert(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),X_a),last(X_a))=last(X_a).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),lenlex(X_a))=lenlex(X_a).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),lex(X_a))=lex(X_a).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_a),bool),fun(nat,fun(product_prod(list(X_a),list(X_a)),bool))),lexn(X_a))=lexn(X_a).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),lexord(X_a))=lexord(X_a).
% 61.39/61.04 0 [] -linorder(X_a)|ti(fun(list(X_a),bool),linorder_sorted(X_a))=linorder_sorted(X_a).
% 61.39/61.04 0 [] ti(fun(X_a,fun(list(X_a),list(X_a))),cons(X_a))=cons(X_a).
% 61.39/61.04 0 [] ti(list(X_a),nil(X_a))=nil(X_a).
% 61.39/61.04 0 [] ti(fun(X_a,fun(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a))),list_case(X_a,X_b))=list_case(X_a,X_b).
% 61.39/61.04 0 [] ti(fun(X_a,fun(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a))),list_rec(X_a,X_b))=list_rec(X_a,X_b).
% 61.39/61.04 0 [] ti(fun(fun(X_a,nat),fun(list(X_a),nat)),list_size(X_a))=list_size(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool))),list_all2(X_a,X_b))=list_all2(X_a,X_b).
% 61.39/61.04 0 [] ti(fun(list(X_a),fun(nat,fun(X_a,list(X_a)))),list_update(X_a))=list_update(X_a).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),listrel(X_a))=listrel(X_a).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool)),listrel1(X_a))=listrel1(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool))),listrelp(X_a))=listrelp(X_a).
% 61.39/61.04 0 [] ti(fun(list(fun(X_a,bool)),fun(list(X_a),bool)),listset(X_a))=listset(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_b,list(X_a)),fun(list(X_b),list(X_a))),maps(X_b,X_a))=maps(X_b,X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),fun(nat,X_a)),nth(X_a))=nth(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_b),bool),null(X_b))=null(X_b).
% 61.39/61.04 0 [] ti(fun(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a)))),partition(X_a))=partition(X_a).
% 61.39/61.04 0 [] ti(fun(nat,fun(X_a,list(X_a))),replicate(X_a))=replicate(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),list(X_a)),rev(X_a))=rev(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),list(X_a)),rotate1(X_a))=rotate1(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),fun(X_a,bool)),set(X_a))=set(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool))),set_Cons(X_a))=set_Cons(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),fun(list(X_a),list(X_a))),splice(X_a))=splice(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),fun(fun(nat,bool),list(X_a))),sublist(X_a))=sublist(X_a).
% 61.39/61.04 0 [] ti(fun(nat,fun(list(X_a),list(X_a))),take(X_a))=take(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,bool),fun(list(X_a),list(X_a))),takeWhile(X_a))=takeWhile(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),list(X_a)),tl(X_a))=tl(X_a).
% 61.39/61.04 0 [] ti(fun(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b)))),zip(X_a,X_b))=zip(X_a,X_b).
% 61.39/61.04 0 [] ti(fun(nat,nat),suc)=suc.
% 61.39/61.04 0 [] ti(fun(X_a,fun(fun(nat,X_a),fun(nat,X_a))),nat_case(X_a))=nat_case(X_a).
% 61.39/61.04 0 [] ti(fun(nat,nat),nat_size)=nat_size.
% 61.39/61.04 0 [] ti(fun(nat,nat),size_size(nat))=size_size(nat).
% 61.39/61.04 0 [] ti(fun(list(X_a),nat),size_size(list(X_a)))=size_size(list(X_a)).
% 61.39/61.04 0 [] ti(fun(fun(arrow_2142409994le_alt,bool),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),order_215145569der_on(arrow_2142409994le_alt))=order_215145569der_on(arrow_2142409994le_alt).
% 61.39/61.04 0 [] -ord(X_a)|ti(fun(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,X_a))),min(X_a))=min(X_a).
% 61.39/61.04 0 [] -ord(X_a)|ti(fun(X_a,fun(X_a,bool)),ord_less(X_a))=ord_less(X_a).
% 61.39/61.04 0 [] -ord(X_b)|ti(fun(X_b,fun(X_b,bool)),ord_less_e_q(X_b))=ord_less_e_q(X_b).
% 61.39/61.04 0 [] -ord(X_a)|ti(fun(X_a,fun(X_a,X_a)),ord_min(X_a))=ord_min(X_a).
% 61.39/61.04 0 [] -top(X_a)|ti(X_a,top_top(X_a))=top_top(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,fun(X_a,bool)),bool),reflp(X_a))=reflp(X_a).
% 61.39/61.04 0 [] ti(fun(X_a,fun(X_b,product_prod(X_a,X_b))),product_Pair(X_a,X_b))=product_Pair(X_a,X_b).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_b),X_c),fun(X_a,fun(X_b,X_c))),product_curry(X_a,X_b,X_c))=product_curry(X_a,X_b,X_c).
% 61.39/61.04 0 [] ti(fun(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a)),produc1605651328_split(X_b,X_c,X_a))=produc1605651328_split(X_b,X_c,X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,X_c),fun(fun(X_b,X_d),fun(product_prod(X_a,X_b),product_prod(X_c,X_d)))),product_map_pair(X_a,X_c,X_b,X_d))=product_map_pair(X_a,X_c,X_b,X_d).
% 61.39/61.04 0 [] ti(fun(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a)),product_prod_case(X_b,X_c,X_a))=product_prod_case(X_b,X_c,X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a)),product_prod_rec(X_b,X_c,X_a))=product_prod_rec(X_b,X_c,X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool)),refl_on(X_a))=refl_on(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,bool),fun(X_a,bool)),collect(X_a))=collect(X_a).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool)),transitive_rtrancl(X_a))=transitive_rtrancl(X_a).
% 61.39/61.04 0 [] ti(fun(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool))),lex_prod(X_a,X_b))=lex_prod(X_a,X_b).
% 61.39/61.04 0 [] ti(fun(fun(X_a,nat),fun(product_prod(X_a,X_a),bool)),measure(X_a))=measure(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,nat),fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool))),mlex_prod(X_a))=mlex_prod(X_a).
% 61.39/61.04 0 [] ti(fun(fun(X_a,bool),bool),fEx(X_a))=fEx(X_a).
% 61.39/61.04 0 [] ti(bool,fFalse)=fFalse.
% 61.39/61.04 0 [] ti(fun(bool,bool),fNot)=fNot.
% 61.39/61.04 0 [] ti(bool,fTrue)=fTrue.
% 61.39/61.04 0 [] ti(fun(bool,fun(bool,bool)),fconj)=fconj.
% 61.39/61.04 0 [] ti(fun(bool,fun(bool,bool)),fdisj)=fdisj.
% 61.39/61.04 0 [] ti(fun(X_a,fun(X_a,bool)),fe_qual(X_a))=fe_qual(X_a).
% 61.39/61.04 0 [] hAPP(X_a,X_c,ti(fun(X_a,X_c),B_1_1),B_2_1)=hAPP(X_a,X_c,B_1_1,B_2_1).
% 61.39/61.04 0 [] hAPP(X_a,X_c,B_1_1,ti(X_a,B_2_1))=hAPP(X_a,X_c,B_1_1,B_2_1).
% 61.39/61.04 0 [] ti(X_c,hAPP(X_a,X_c,B_1_1,B_2_1))=hAPP(X_a,X_c,B_1_1,B_2_1).
% 61.39/61.04 0 [] -hBOOL(ti(bool,B_1_1))|hBOOL(B_1_1).
% 61.39/61.04 0 [] hBOOL(ti(bool,B_1_1))| -hBOOL(B_1_1).
% 61.39/61.04 0 [] ti(fun(X_b,fun(fun(X_b,bool),bool)),member(X_b))=member(X_b).
% 61.39/61.04 0 [] ti(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),f)=f.
% 61.39/61.04 0 [] ti(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),p_1)=p_1.
% 61.39/61.04 0 [] ti(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),p)=p.
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,a)=a.
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,b)=b.
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,c)=c.
% 61.39/61.04 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),p),arrow_301600364e_Prof)).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,f)).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,f)).
% 61.39/61.04 0 [] a!=b.
% 61.39/61.04 0 [] hBOOL(hAPP(list(arrow_2142409994le_alt),bool,distinct(arrow_2142409994le_alt),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),a),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),b),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),c),nil(arrow_2142409994le_alt)))))).
% 61.39/61.04 0 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,I)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),b),a)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p_1,I))).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,I)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),b),a)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p_1,I))).
% 61.39/61.04 0 [] hBOOL(hAPP(list(arrow_2142409994le_alt),bool,distinct(arrow_2142409994le_alt),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),a),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),b),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),$c1),nil(arrow_2142409994le_alt)))))).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),p)),c)),b))),b)),a)),arrow_301600364e_Prof)).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),p)),c)),b))),b)),a))),a)),c)),arrow_301600364e_Prof)).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(arrow_2142409994le_alt,fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),combc(arrow_1998540521e_indi,arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)))),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))))),combb(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1998540521e_indi),arrow_1665824030_below),p)),c)),b)),arrow_301600364e_Prof)).
% 61.39/61.04 0 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),Z_2)))|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Z_2).
% 61.39/61.04 0 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),Z_2)))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Z_2)|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1).
% 61.39/61.04 0 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),Z_2)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Z_2)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),Z_2)))|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Z_2)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Z_2)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),Z_2)))|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Z_2)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Z_2).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),Z_2)))|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Z_2)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),Z_2)))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Z_2).
% 61.39/61.04 0 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),Z_2)))|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Z_2)|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1).
% 61.39/61.04 0 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),Z_2)))|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Z_2)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),Z_2)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Z_2)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Z_2)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),Z_2)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Z_2)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Z_2).
% 61.39/61.04 0 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),Z_2)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Z_2)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Aa)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Ba)),L_3)).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Aa)|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Ba)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Ba),Y_1)),L_3)).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Aa)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Aa)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Aa)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Aa)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Aa)|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Aa)|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Aa)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Ba),Y_1)),L_3))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Aa)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Ba),Y_1)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Ba)),L_3))|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Aa).
% 61.39/61.04 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Ba)),L_3))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Aa)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Ba)),L_3))|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Ba)),L_3))|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Ba)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Ba),Y_1)),L_3))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Ba)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Ba),Y_1)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,$f1(X_a,X_b,Pa)))|hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2))).
% 61.39/61.05 0 [] hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,X1))| -hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f3(X_a,X_b,Pa)),$f2(X_a,X_b,Pa)))).
% 61.39/61.05 0 [] hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)!=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3)|ti(X_a,Aa)=ti(X_a,A_3).
% 61.39/61.05 0 [] hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)!=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3)|ti(X_b,Ba)=ti(X_b,B_3).
% 61.39/61.05 0 [] hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3)|ti(X_a,Aa)!=ti(X_a,A_3)|ti(X_b,Ba)!=ti(X_b,B_3).
% 61.39/61.05 0 [] hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_1),B)!=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_6),B_4)|ti(X_a,A_1)=ti(X_a,A_6).
% 61.39/61.05 0 [] hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_1),B)!=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_6),B_4)|ti(X_b,B)=ti(X_b,B_4).
% 61.39/61.05 0 [] -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),in_rel(X_a,X_b),R_2),X_1),Y_1))|hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),R_2)).
% 61.39/61.05 0 [] hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),in_rel(X_a,X_b),R_2),X_1),Y_1))| -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),R_2)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,L_3),X_1),Y_1)),arrow_1568854078le_Lin)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),p_1),arrow_301600364e_Prof)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,A_3)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Ba)=ti(arrow_2142409994le_alt,A_3)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Pa),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),P_a),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Pa,$f4(P_a,Pa,A_3,B_3,Aa,Ba))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),P_a,$f4(P_a,Pa,A_3,B_3,Aa,Ba))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,Pa)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,P_a))).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,A_3)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Ba)=ti(arrow_2142409994le_alt,A_3)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Pa),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),P_a),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Pa,$f4(P_a,Pa,A_3,B_3,Aa,Ba))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),P_a,$f4(P_a,Pa,A_3,B_3,Aa,Ba))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,Pa)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,P_a))).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,A_3)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Ba)=ti(arrow_2142409994le_alt,A_3)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Pa),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),P_a),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Pa,$f5(P_a,Pa,A_3,B_3,Aa,Ba))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),P_a,$f5(P_a,Pa,A_3,B_3,Aa,Ba))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,Pa)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,P_a))).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,A_3)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Ba)=ti(arrow_2142409994le_alt,A_3)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Pa),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),P_a),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Pa,$f5(P_a,Pa,A_3,B_3,Aa,Ba))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),P_a,$f5(P_a,Pa,A_3,B_3,Aa,Ba))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,Pa)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,P_a))).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,A_3)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Ba)=ti(arrow_2142409994le_alt,A_3)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Pa),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),P_a),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Pa,$f5(P_a,Pa,A_3,B_3,Aa,Ba))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),P_a,$f5(P_a,Pa,A_3,B_3,Aa,Ba))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,Pa)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,P_a))).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,A_3)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,B_3)|ti(arrow_2142409994le_alt,Ba)=ti(arrow_2142409994le_alt,A_3)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Pa),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),P_a),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Pa,$f5(P_a,Pa,A_3,B_3,Aa,Ba))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),P_a,$f5(P_a,Pa,A_3,B_3,Aa,Ba))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,Pa)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_3),B_3)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,P_a))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),f),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_301600364e_Prof),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1568854078le_Lin)))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),combk(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),arrow_1998540521e_indi),L_3)),arrow_301600364e_Prof)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,L_3),X_1)),arrow_1568854078le_Lin)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,L_3),X_1)),arrow_1568854078le_Lin)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Ba),Aa)),L_3)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Y_1),X_1)),L_3)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Y_1),X_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,A_1)=ti(arrow_2142409994le_alt,B)|hBOOL(hAPP(list(arrow_2142409994le_alt),bool,distinct(arrow_2142409994le_alt),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),A_1),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),B),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),$f6(A_1,B)),nil(arrow_2142409994le_alt)))))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Xa),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,$f7(Fa_1,X_2,Xa,A_5,B_2))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Xa,$f7(Fa_1,X_2,Xa,A_5,B_2))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,Xa))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Xa),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,$f7(Fa_1,X_2,Xa,A_5,B_2))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Xa,$f7(Fa_1,X_2,Xa,A_5,B_2))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,Xa))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Xa),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,$f7(Fa_1,X_2,Xa,A_5,B_2))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Xa,$f7(Fa_1,X_2,Xa,A_5,B_2))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,Xa))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Xa),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,$f7(Fa_1,X_2,Xa,A_5,B_2))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Xa,$f7(Fa_1,X_2,Xa,A_5,B_2))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,Xa))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))|hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),$f11(Fa_1)),arrow_301600364e_Prof)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))|hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),$f10(Fa_1)),arrow_301600364e_Prof)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(Fa_1)),$f8(Fa_1))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f11(Fa_1),I)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(Fa_1)),$f8(Fa_1))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f10(Fa_1),I))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(Fa_1)),$f8(Fa_1))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f11(Fa_1),I)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(Fa_1)),$f8(Fa_1))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f10(Fa_1),I))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(Fa_1)),$f8(Fa_1))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,$f11(Fa_1))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(Fa_1)),$f8(Fa_1))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,$f10(Fa_1)))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,Fa_1))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(Fa_1)),$f8(Fa_1))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,$f11(Fa_1))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(Fa_1)),$f8(Fa_1))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,$f10(Fa_1)))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,Fa_1))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,$f12(Fa_1,X_2,A_5,B_2))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A_5),B_2)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,Fa_1))|hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),$f15(Fa_1)),arrow_301600364e_Prof)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,Fa_1))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f14(Fa_1)),$f13(Fa_1))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f15(Fa_1),I))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,Fa_1))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f14(Fa_1)),$f13(Fa_1))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,$f15(Fa_1)))).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),$f16(Aa,Ba)),arrow_1568854078le_Lin)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Ba)),$f16(Aa,Ba))).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Y_1).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Ba)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Aa)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Aa)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Ba)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa)|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Ba)|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Aa)),L_3))|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Aa)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Y_1)),L_3))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Ba).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Y_1)),L_3))|ti(arrow_2142409994le_alt,Y_1)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Y_1)),L_3))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa)|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Y_1)),L_3))|ti(arrow_2142409994le_alt,X_1)!=ti(arrow_2142409994le_alt,Aa)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Y_1)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Aa)),L_3))|ti(arrow_2142409994le_alt,Y_1)!=ti(arrow_2142409994le_alt,Ba).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,Aa)=ti(arrow_2142409994le_alt,Ba)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),Aa),Ba)))|ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),Aa),Y_1)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Aa)),L_3))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),X_1),Y_1)),L_3)).
% 61.39/61.05 0 [] hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_rec(X_b,X_c,X_a),F1),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))=hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),F1,Aa),Ba).
% 61.39/61.05 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),nil(X_a))).
% 61.39/61.05 0 [] nil(X_a)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_6),List_4).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_6),List_4)!=nil(X_a).
% 61.39/61.05 0 [] hBOOL(hAPP(list(arrow_2142409994le_alt),bool,distinct(arrow_2142409994le_alt),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),$c4),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),$c3),hAPP(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(list(arrow_2142409994le_alt),list(arrow_2142409994le_alt)),cons(arrow_2142409994le_alt),$c2),nil(arrow_2142409994le_alt)))))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),$c5),arrow_1568854078le_Lin)).
% 61.39/61.05 0 [] -hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),X_2),arrow_301600364e_Prof))|hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,X_2)=hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),X_2,I_1).
% 61.39/61.05 0 [] hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1))|hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),$f17(Fa_1,I_1)),arrow_301600364e_Prof)).
% 61.39/61.05 0 [] hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1))|hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,$f17(Fa_1,I_1))!=hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f17(Fa_1,I_1),I_1).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),List)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_3),List_3)|ti(X_a,Aa)=ti(X_a,A_3).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),List)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_3),List_3)|List=List_3.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),List)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_3),List_3)|ti(X_a,Aa)!=ti(X_a,A_3)|List!=List_3.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)!=Xs.
% 61.39/61.05 0 [] Xs!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs).
% 61.39/61.05 0 [] ti(arrow_2142409994le_alt,X_1)=ti(arrow_2142409994le_alt,Y_1)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),L_3),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,L_3),X_1),Y_1)),arrow_1568854078le_Lin)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Fa_1),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_301600364e_Prof),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1568854078le_Lin))))|hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),$f20(I_1,Fa_1)),arrow_301600364e_Prof))|hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Fa_1),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_301600364e_Prof),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1568854078le_Lin))))|ti(arrow_2142409994le_alt,$f19(I_1,Fa_1))!=ti(arrow_2142409994le_alt,$f18(I_1,Fa_1))|hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Fa_1),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_301600364e_Prof),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1568854078le_Lin))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f19(I_1,Fa_1)),$f18(I_1,Fa_1))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f20(I_1,Fa_1),I_1)))|hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),Fa_1),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_301600364e_Prof),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1568854078le_Lin))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f19(I_1,Fa_1)),$f18(I_1,Fa_1))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),Fa_1,$f20(I_1,Fa_1))))|hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,Fa_1),I_1)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))|hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_1)),hAPP(X_a,fun(X_b,bool),B_1,X_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2)).
% 61.39/61.05 0 [] Y=nil(X_a)|Y=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f22(X_a,Y)),$f21(X_a,Y)).
% 61.39/61.05 0 [] Xs_1=nil(X_a)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f24(X_a,Xs_1)),$f23(X_a,Xs_1)).
% 61.39/61.05 0 [] Xs_1!=nil(X_a)|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(fun(X_a,X_a),bool),bool,hAPP(fun(X_a,X_a),fun(fun(fun(X_a,X_a),bool),bool),member(fun(X_a,X_a)),combi(X_a)),hAPP(fun(X_a,fun(X_a,bool)),fun(fun(X_a,X_a),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_a,bool)),fun(fun(X_a,X_a),bool)),pi(X_a,X_a),A_2),hAPP(fun(X_a,bool),fun(X_a,fun(X_a,bool)),combk(fun(X_a,bool),X_a),A_2)))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),hAPP(fun(X_b,bool),fun(X_a,fun(X_b,bool)),combk(fun(X_b,bool),X_a),B_1))))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))|hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_1)),B_1)).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),V_1),Va)),nil(X_a))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),V_1),Va).
% 61.39/61.05 0 [] hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a)),list_case(X_a,X_b),F1),F2),nil(X_b))=ti(X_a,F1).
% 61.39/61.05 0 [] hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),X_a)),fun(list(X_b),X_a)),list_case(X_a,X_b),F1),F2),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Aa),List))=hAPP(list(X_b),X_a,hAPP(X_b,fun(list(X_b),X_a),F2,Aa),List).
% 61.39/61.05 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,X1))|hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f26(X_a,X_b,Pa)),$f25(X_a,X_b,Pa)))).
% 61.39/61.05 0 [] hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,$f27(X_a,X_b,Pa)))| -hBOOL(hAPP(product_prod(X_a,X_b),bool,Pa,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_5),B_2))).
% 61.39/61.05 0 [] -hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),bool,Pa,hAPP(product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),$f33(X_a,X_b,X_c,X_d,X_e,X_f,X_1,Pa)),hAPP(product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),hAPP(X_b,fun(product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),product_Pair(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),$f32(X_a,X_b,X_c,X_d,X_e,X_f,X_1,Pa)),hAPP(product_prod(X_d,product_prod(X_e,X_f)),product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),hAPP(X_c,fun(product_prod(X_d,product_prod(X_e,X_f)),product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_Pair(X_c,product_prod(X_d,product_prod(X_e,X_f))),$f31(X_a,X_b,X_c,X_d,X_e,X_f,X_1,Pa)),hAPP(product_prod(X_e,X_f),product_prod(X_d,product_prod(X_e,X_f)),hAPP(X_d,fun(product_prod(X_e,X_f),product_prod(X_d,product_prod(X_e,X_f))),product_Pair(X_d,product_prod(X_e,X_f)),$f30(X_a,X_b,X_c,X_d,X_e,X_f,X_1,Pa)),hAPP(X_f,product_prod(X_e,X_f),hAPP(X_e,fun(X_f,product_prod(X_e,X_f)),product_Pair(X_e,X_f),$f29(X_a,X_b,X_c,X_d,X_e,X_f,X_1,Pa)),$f28(X_a,X_b,X_c,X_d,X_e,X_f,X_1,Pa))))))))|hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),bool,Pa,X_1)).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),Xs),Ys_1))).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),nil(X_a)),Ys_1)=Ys_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),Xs),nil(X_a))=Xs.
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))|hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,X_1)),hAPP(X_a,fun(X_b,bool),B_1,X_1))).
% 61.39/61.05 0 [] ti(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),Y)=hAPP(product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),$f39(X_a,X_b,X_c,X_d,X_e,X_f,Y)),hAPP(product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),hAPP(X_b,fun(product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),product_prod(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))))),product_Pair(X_b,product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),$f38(X_a,X_b,X_c,X_d,X_e,X_f,Y)),hAPP(product_prod(X_d,product_prod(X_e,X_f)),product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f))),hAPP(X_c,fun(product_prod(X_d,product_prod(X_e,X_f)),product_prod(X_c,product_prod(X_d,product_prod(X_e,X_f)))),product_Pair(X_c,product_prod(X_d,product_prod(X_e,X_f))),$f37(X_a,X_b,X_c,X_d,X_e,X_f,Y)),hAPP(product_prod(X_e,X_f),product_prod(X_d,product_prod(X_e,X_f)),hAPP(X_d,fun(product_prod(X_e,X_f),product_prod(X_d,product_prod(X_e,X_f))),product_Pair(X_d,product_prod(X_e,X_f)),$f36(X_a,X_b,X_c,X_d,X_e,X_f,Y)),hAPP(X_f,product_prod(X_e,X_f),hAPP(X_e,fun(X_f,product_prod(X_e,X_f)),product_Pair(X_e,X_f),$f35(X_a,X_b,X_c,X_d,X_e,X_f,Y)),$f34(X_a,X_b,X_c,X_d,X_e,X_f,Y)))))).
% 61.39/61.05 0 [] ti(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),Y)=hAPP(product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),$f44(X_a,X_b,X_c,X_d,X_e,Y)),hAPP(product_prod(X_c,product_prod(X_d,X_e)),product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),hAPP(X_b,fun(product_prod(X_c,product_prod(X_d,X_e)),product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),product_Pair(X_b,product_prod(X_c,product_prod(X_d,X_e))),$f43(X_a,X_b,X_c,X_d,X_e,Y)),hAPP(product_prod(X_d,X_e),product_prod(X_c,product_prod(X_d,X_e)),hAPP(X_c,fun(product_prod(X_d,X_e),product_prod(X_c,product_prod(X_d,X_e))),product_Pair(X_c,product_prod(X_d,X_e)),$f42(X_a,X_b,X_c,X_d,X_e,Y)),hAPP(X_e,product_prod(X_d,X_e),hAPP(X_d,fun(X_e,product_prod(X_d,X_e)),product_Pair(X_d,X_e),$f41(X_a,X_b,X_c,X_d,X_e,Y)),$f40(X_a,X_b,X_c,X_d,X_e,Y))))).
% 61.39/61.05 0 [] -hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),bool,Pa,hAPP(product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),$f49(X_a,X_b,X_c,X_d,X_e,X_1,Pa)),hAPP(product_prod(X_c,product_prod(X_d,X_e)),product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e))),hAPP(X_b,fun(product_prod(X_c,product_prod(X_d,X_e)),product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),product_Pair(X_b,product_prod(X_c,product_prod(X_d,X_e))),$f48(X_a,X_b,X_c,X_d,X_e,X_1,Pa)),hAPP(product_prod(X_d,X_e),product_prod(X_c,product_prod(X_d,X_e)),hAPP(X_c,fun(product_prod(X_d,X_e),product_prod(X_c,product_prod(X_d,X_e))),product_Pair(X_c,product_prod(X_d,X_e)),$f47(X_a,X_b,X_c,X_d,X_e,X_1,Pa)),hAPP(X_e,product_prod(X_d,X_e),hAPP(X_d,fun(X_e,product_prod(X_d,X_e)),product_Pair(X_d,X_e),$f46(X_a,X_b,X_c,X_d,X_e,X_1,Pa)),$f45(X_a,X_b,X_c,X_d,X_e,X_1,Pa)))))))|hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,product_prod(X_d,X_e)))),bool,Pa,X_1)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f50(X_b,X_a,F,B_1,A_2)),A_2))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,$f50(X_b,X_a,F,B_1,A_2))),hAPP(X_a,fun(X_b,bool),B_1,$f50(X_b,X_a,F,B_1,A_2))))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))).
% 61.39/61.05 0 [] ti(product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),Y)=hAPP(product_prod(X_b,product_prod(X_c,X_d)),product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,X_d)),product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d)))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,X_d))),$f54(X_a,X_b,X_c,X_d,Y)),hAPP(product_prod(X_c,X_d),product_prod(X_b,product_prod(X_c,X_d)),hAPP(X_b,fun(product_prod(X_c,X_d),product_prod(X_b,product_prod(X_c,X_d))),product_Pair(X_b,product_prod(X_c,X_d)),$f53(X_a,X_b,X_c,X_d,Y)),hAPP(X_d,product_prod(X_c,X_d),hAPP(X_c,fun(X_d,product_prod(X_c,X_d)),product_Pair(X_c,X_d),$f52(X_a,X_b,X_c,X_d,Y)),$f51(X_a,X_b,X_c,X_d,Y)))).
% 61.39/61.05 0 [] -hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),bool,Pa,hAPP(product_prod(X_b,product_prod(X_c,X_d)),product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),hAPP(X_a,fun(product_prod(X_b,product_prod(X_c,X_d)),product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d)))),product_Pair(X_a,product_prod(X_b,product_prod(X_c,X_d))),$f58(X_a,X_b,X_c,X_d,X_1,Pa)),hAPP(product_prod(X_c,X_d),product_prod(X_b,product_prod(X_c,X_d)),hAPP(X_b,fun(product_prod(X_c,X_d),product_prod(X_b,product_prod(X_c,X_d))),product_Pair(X_b,product_prod(X_c,X_d)),$f57(X_a,X_b,X_c,X_d,X_1,Pa)),hAPP(X_d,product_prod(X_c,X_d),hAPP(X_c,fun(X_d,product_prod(X_c,X_d)),product_Pair(X_c,X_d),$f56(X_a,X_b,X_c,X_d,X_1,Pa)),$f55(X_a,X_b,X_c,X_d,X_1,Pa))))))|hBOOL(hAPP(product_prod(X_a,product_prod(X_b,product_prod(X_c,X_d))),bool,Pa,X_1)).
% 61.39/61.05 0 [] ti(product_prod(X_a,product_prod(X_b,X_c)),Y)=hAPP(product_prod(X_b,X_c),product_prod(X_a,product_prod(X_b,X_c)),hAPP(X_a,fun(product_prod(X_b,X_c),product_prod(X_a,product_prod(X_b,X_c))),product_Pair(X_a,product_prod(X_b,X_c)),$f61(X_a,X_b,X_c,Y)),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),$f60(X_a,X_b,X_c,Y)),$f59(X_a,X_b,X_c,Y))).
% 61.39/61.05 0 [] -hBOOL(hAPP(product_prod(X_a,product_prod(X_b,X_c)),bool,Pa,hAPP(product_prod(X_b,X_c),product_prod(X_a,product_prod(X_b,X_c)),hAPP(X_a,fun(product_prod(X_b,X_c),product_prod(X_a,product_prod(X_b,X_c))),product_Pair(X_a,product_prod(X_b,X_c)),$f64(X_a,X_b,X_c,X_1,Pa)),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),$f63(X_a,X_b,X_c,X_1,Pa)),$f62(X_a,X_b,X_c,X_1,Pa)))))|hBOOL(hAPP(product_prod(X_a,product_prod(X_b,X_c)),bool,Pa,X_1)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f65(X_b,X_a,F,B_1,A_2)),A_2))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),hAPP(fun(X_b,bool),fun(X_a,fun(X_b,bool)),combk(fun(X_b,bool),X_a),B_1)))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,$f65(X_b,X_a,F,B_1,A_2))),B_1))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),hAPP(fun(X_b,bool),fun(X_a,fun(X_b,bool)),combk(fun(X_b,bool),X_a),B_1)))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f66(X_b,X_a,F,B_1,A_2)),A_2))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_a,X_b,F,$f66(X_b,X_a,F,B_1,A_2))),hAPP(X_a,fun(X_b,bool),B_1,$f66(X_b,X_a,F,B_1,A_2))))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f67(X_b,X_a,B_1,F,G,A_2)),A_2))| -hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),G),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f67(X_b,X_a,B_1,F,G,A_2)),A_2))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))| -hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),G),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))).
% 61.39/61.05 0 [] hAPP(X_a,X_b,F,$f67(X_b,X_a,B_1,F,G,A_2))!=hAPP(X_a,X_b,G,$f67(X_b,X_a,B_1,F,G,A_2))| -hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),G),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))).
% 61.39/61.05 0 [] hAPP(X_a,X_b,F,$f67(X_b,X_a,B_1,F,G,A_2))!=hAPP(X_a,X_b,G,$f67(X_b,X_a,B_1,F,G,A_2))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),F),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)))| -hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(X_a,X_b),fun(fun(fun(X_a,X_b),bool),bool),member(fun(X_a,X_b)),G),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1))).
% 61.39/61.05 0 [] ti(product_prod(X_a,X_b),P_2)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f69(X_a,X_b,P_2)),$f68(X_a,X_b,P_2)).
% 61.39/61.05 0 [] ti(product_prod(X_a,X_b),Y)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f71(X_a,X_b,Y)),$f70(X_a,X_b,Y)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f73(X_a,X_b,S_2,R_2)),$f72(X_a,X_b,S_2,R_2))),R_2))|hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f73(X_a,X_b,S_2,R_2)),$f72(X_a,X_b,S_2,R_2))),S_2))|ti(fun(product_prod(X_a,X_b),bool),R_2)=ti(fun(product_prod(X_a,X_b),bool),S_2).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f73(X_a,X_b,S_2,R_2)),$f72(X_a,X_b,S_2,R_2))),R_2))| -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f73(X_a,X_b,S_2,R_2)),$f72(X_a,X_b,S_2,R_2))),S_2))|ti(fun(product_prod(X_a,X_b),bool),R_2)=ti(fun(product_prod(X_a,X_b),bool),S_2).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Xa)),R_2))|hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Xa)),S_2))|ti(fun(product_prod(X_a,X_b),bool),R_2)!=ti(fun(product_prod(X_a,X_b),bool),S_2).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Xa)),R_2))| -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_2),Xa)),S_2))|ti(fun(product_prod(X_a,X_b),bool),R_2)!=ti(fun(product_prod(X_a,X_b),bool),S_2).
% 61.39/61.05 0 [] hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),produc1605651328_split(X_b,X_c,X_a),Ca),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))=hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),Ca,Aa),Ba).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X),nil(X_a))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a)).
% 61.39/61.05 0 [] Xs_1=nil(X_a)| -hBOOL(hAPP(list(X_a),bool,Pa,hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f74(X_a,Pa,Xs_1)),nil(X_a))))|$f75(X_a,Pa,Xs_1)!=nil(X_a)|hBOOL(hAPP(list(X_a),bool,Pa,Xs_1)).
% 61.39/61.05 0 [] Xs_1=nil(X_a)| -hBOOL(hAPP(list(X_a),bool,Pa,hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f74(X_a,Pa,Xs_1)),nil(X_a))))|hBOOL(hAPP(list(X_a),bool,Pa,$f75(X_a,Pa,Xs_1)))|hBOOL(hAPP(list(X_a),bool,Pa,Xs_1)).
% 61.39/61.05 0 [] Xs_1=nil(X_a)| -hBOOL(hAPP(list(X_a),bool,Pa,hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f74(X_a,Pa,Xs_1)),nil(X_a))))| -hBOOL(hAPP(list(X_a),bool,Pa,hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f76(X_a,Pa,Xs_1)),$f75(X_a,Pa,Xs_1))))|hBOOL(hAPP(list(X_a),bool,Pa,Xs_1)).
% 61.39/61.05 0 [] hAPP(X_a,X_b,F,$f77(X_a,X_b,F,G))!=hAPP(X_a,X_b,G,$f77(X_a,X_b,F,G))|ti(fun(X_a,X_b),F)=ti(fun(X_a,X_b),G).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))|hBOOL(hAPP(X_a,bool,A_2,X_1)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))| -hBOOL(hAPP(X_a,bool,A_2,X_1)).
% 61.39/61.05 0 [] hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),Pa)=ti(fun(X_a,bool),Pa).
% 61.39/61.05 0 [] hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a)),list_rec(X_a,X_b),F1),F2),nil(X_b))=ti(X_a,F1).
% 61.39/61.05 0 [] hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a)),list_rec(X_a,X_b),F1),F2),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Aa),List))=hAPP(X_a,X_a,hAPP(list(X_b),fun(X_a,X_a),hAPP(X_b,fun(list(X_b),fun(X_a,X_a)),F2,Aa),List),hAPP(list(X_b),X_a,hAPP(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a),hAPP(X_a,fun(fun(X_b,fun(list(X_b),fun(X_a,X_a))),fun(list(X_b),X_a)),list_rec(X_a,X_b),F1),F2),List)).
% 61.39/61.05 0 [] hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),hAPP(fun(product_prod(X_a,X_b),X_c),fun(X_a,fun(X_b,X_c)),product_curry(X_a,X_b,X_c),X_2),Xa),Xb_1)=hAPP(product_prod(X_a,X_b),X_c,X_2,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa),Xb_1)).
% 61.39/61.05 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,F,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),product_curry(X_a,X_b,bool),F),Aa),Ba)).
% 61.39/61.05 0 [] -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),product_curry(X_a,X_b,bool),F),Aa),Ba))|hBOOL(hAPP(product_prod(X_a,X_b),bool,F,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba))).
% 61.39/61.05 0 [] -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),product_curry(X_a,X_b,bool),F),Aa),Ba))|hBOOL(hAPP(product_prod(X_a,X_b),bool,F,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba))).
% 61.39/61.05 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X),Xs))).
% 61.39/61.05 0 [] hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),hAPP(fun(product_prod(X_b,X_c),X_a),fun(X_b,fun(X_c,X_a)),product_curry(X_b,X_c,X_a),F),Aa),Ba)=hAPP(product_prod(X_b,X_c),X_a,F,hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba)).
% 61.39/61.05 0 [] hBOOL(hAPP(list(X_b),bool,null(X_b),nil(X_b))).
% 61.39/61.05 0 [] -hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1))|Xs_1=nil(X_a).
% 61.39/61.05 0 [] hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1))|Xs_1!=nil(X_a).
% 61.39/61.05 0 [] Xs_1!=nil(X_a)|hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1)).
% 61.39/61.05 0 [] Xs_1=nil(X_a)| -hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1)).
% 61.39/61.05 0 [] -hBOOL(hAPP(list(X_a),bool,null(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))).
% 61.39/61.05 0 [] arrow_301600364e_Prof=hAPP(fun(arrow_1998540521e_indi,fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),hAPP(fun(arrow_1998540521e_indi,bool),fun(fun(arrow_1998540521e_indi,fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool)),pi(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),top_top(fun(arrow_1998540521e_indi,bool))),hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(arrow_1998540521e_indi,fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),arrow_1998540521e_indi),arrow_1568854078le_Lin)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),X_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Ba),Y_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),R_1))|ti(X_a,Aa)=ti(X_a,Ba).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),X_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Ba),Y_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),X_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Ba),Y_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),R_1)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),X_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Ba),Y_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|ti(X_a,Aa)!=ti(X_a,Ba)| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] hAPP(list(X_b),list(X_a),hAPP(fun(X_b,list(X_a)),fun(list(X_b),list(X_a)),maps(X_b,X_a),F),nil(X_b))=nil(X_a).
% 61.39/61.05 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a)))).
% 61.39/61.05 0 [] Xs=nil(X_a)| -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))).
% 61.39/61.05 0 [] Xs!=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=ti(X_a,X).
% 61.39/61.05 0 [] Xs=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),X_a,last(X_a),Xs).
% 61.39/61.05 0 [] hBOOL(hAPP(X_a,bool,top_top(fun(X_a,bool)),X_1)).
% 61.39/61.05 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),nil(X_a))).
% 61.39/61.05 0 [] -linorder(X_a)|Xs=nil(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))).
% 61.39/61.05 0 [] hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),hAPP(fun(X_b,bool),fun(X_a,fun(X_b,bool)),combk(fun(X_b,bool),X_a),top_top(fun(X_b,bool))))=top_top(fun(fun(X_a,X_b),bool)).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),butlast(X_a),nil(X_a))=nil(X_a).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] Xs!=nil(X_a)|hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=nil(X_a).
% 61.39/61.05 0 [] Xs=nil(X_a)|hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),butlast(X_a),Xs)).
% 61.39/61.05 0 [] Xs!=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=ti(X_a,X).
% 61.39/61.05 0 [] Xs=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),X_a,last(X_a),Xs).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|Y_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f79(X_a,Y_1,R_1)),$f78(X_a,Y_1,R_1)).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|Y_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_5),X_2).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f81(X_a,X_1,Y_1,R_1)),$f80(X_a,X_1,Y_1,R_1))),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|X_1=Y_1|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Y_1),X_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] ti(X_a,$f81(X_a,X_1,Y_1,R_1))!=ti(X_a,$f80(X_a,X_1,Y_1,R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|X_1=Y_1|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Y_1),X_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f80(X_a,X_1,Y_1,R_1)),$f81(X_a,X_1,Y_1,R_1))),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|X_1=Y_1|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Y_1),X_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f82(X_a,Xs_1,R_1)),$f82(X_a,Xs_1,R_1))),R_1))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),top_top(fun(X_a,bool)))).
% 61.39/61.05 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),top_top(fun(X_a,bool)))).
% 61.39/61.05 0 [] -top(X_a)|hAPP(X_b,X_a,top_top(fun(X_b,X_a)),X_1)=top_top(X_a).
% 61.39/61.05 0 [] Xs_1=nil(X_a)| -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),hAPP(list(X_a),X_a,last(X_a),Xs_1)))),Xs_1)=hAPP(list(X_a),list(X_a),butlast(X_a),Xs_1).
% 61.39/61.05 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),e_qual_e_qual(list(X_a)),Xs_1),nil(X_a)))|hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1)).
% 61.39/61.05 0 [] hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),e_qual_e_qual(list(X_a)),Xs_1),nil(X_a)))| -hBOOL(hAPP(list(X_a),bool,null(X_a),Xs_1)).
% 61.39/61.05 0 [] hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),nil(X_a))=hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),nil(X_a)).
% 61.39/61.05 0 [] Xs=nil(X_a)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(list(X_a),X_a,last(X_a),Xs)),nil(X_a)))=Xs.
% 61.39/61.05 0 [] hBOOL(hAPP(X_a,bool,Pa,X_1))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),L_1)))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Xs1)!=Zs_2|Ys_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs1),Us_2)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_2),Us_2).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Xs_1)|Ys=Zs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Xs_1)|Ys!=Zs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Zs_1)|Ys=Zs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Zs_1)|Ys!=Zs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Ts)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),$f83(X_a,Xs_1,Ys,Zs_1,Ts))|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),$f83(X_a,Xs_1,Ys,Zs_1,Ts))=Zs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Ts)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),$f83(X_a,Xs_1,Ys,Zs_1,Ts))|Ys=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f83(X_a,Xs_1,Ys,Zs_1,Ts)),Ts).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Ts)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f83(X_a,Xs_1,Ys,Zs_1,Ts)),Ys)=Ts|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),$f83(X_a,Xs_1,Ys,Zs_1,Ts))=Zs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Ts)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f83(X_a,Xs_1,Ys,Zs_1,Ts)),Ys)=Ts|Ys=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f83(X_a,Xs_1,Ys,Zs_1,Ts)),Ts).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Ts)|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Us)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us),Ys)!=Ts.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Zs_1),Ts)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us)!=Zs_1|Ys!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us),Ts).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),Zs_2)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1),Zs_2)).
% 61.39/61.05 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),e_qual_e_qual(list(X_a)),X_1),Y_1))|X_1=Y_1.
% 61.39/61.05 0 [] hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),e_qual_e_qual(list(X_a)),X_1),Y_1))|X_1!=Y_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),Ys_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs1)!=Ys_1|Xs!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs1),Zs_2)|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1),Zs_2).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),nil(X_a)),Ys_1)=Ys_1.
% 61.39/61.05 0 [] nil(X_a)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)|Xs_1=nil(X_a).
% 61.39/61.05 0 [] nil(X_a)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)|Ys=nil(X_a).
% 61.39/61.05 0 [] nil(X_a)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)|Xs_1!=nil(X_a)|Ys!=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),nil(X_a))=Xs.
% 61.39/61.05 0 [] Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)|Ys=nil(X_a).
% 61.39/61.05 0 [] Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)|Ys!=nil(X_a).
% 61.39/61.05 0 [] Ys!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)|Xs_1=nil(X_a).
% 61.39/61.05 0 [] Ys=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)|Xs_1!=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=nil(X_a)|Xs_1=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=nil(X_a)|Ys=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=nil(X_a)|Xs_1!=nil(X_a)|Ys!=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=Xs_1|Ys=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=Xs_1|Ys!=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=Ys|Xs_1=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=Ys|Xs_1!=nil(X_a).
% 61.39/61.05 0 [] Xs!=Ys_1|Xs=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),nil(X_a)),Ys_1).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),nil(X_a))=nil(X_a).
% 61.39/61.05 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))).
% 61.39/61.05 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)|Ys=nil(X_a)|Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f84(X_a,Ys,Zs_1,X_1,Xs_1)).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)|Ys=nil(X_a)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f84(X_a,Ys,Zs_1,X_1,Xs_1)),Zs_1)=Xs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)|Zs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)|Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f84(X_a,Ys,Zs_1,X_1,Xs_1)).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)|Zs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f84(X_a,Ys,Zs_1,X_1,Xs_1)),Zs_1)=Xs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)|Ys!=nil(X_a)|Zs_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)|Ys!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Ys_3)|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_3),Zs_1)!=Xs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)|Ys=nil(X_a)|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f85(X_a,X_1,Xs_1,Ys,Zs_1))=Ys.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)|Ys=nil(X_a)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f85(X_a,X_1,Xs_1,Ys,Zs_1)),Zs_1).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)=Zs_1|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f85(X_a,X_1,Xs_1,Ys,Zs_1))=Ys.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)=Zs_1|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f85(X_a,X_1,Xs_1,Ys,Zs_1)),Zs_1).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)|Ys!=nil(X_a)|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)!=Zs_1.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Zs_1)|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Ys_3)!=Ys|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_3),Zs_1).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a)))|Xs_1=Ys.
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a)))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a)))|Xs_1!=Ys|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.39/61.05 0 [] Ys_1!=nil(X_a)|hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),butlast(X_a),Xs).
% 61.39/61.05 0 [] Ys_1=nil(X_a)|hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),butlast(X_a),Ys_1)).
% 61.39/61.05 0 [] Ys_1!=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,last(X_a),Xs).
% 61.39/61.05 0 [] Ys_1=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,last(X_a),Ys_1).
% 61.39/61.05 0 [] Ys_1!=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,last(X_a),Xs).
% 61.39/61.05 0 [] Ys_1=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,last(X_a),Ys_1).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),U),V)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),U)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),V))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] -hBOOL(hAPP(X_a,bool,Pa,X_1))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)).
% 61.39/61.05 0 [] hBOOL(hAPP(X_a,bool,Pa,X_1))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_b),list(X_a),hAPP(fun(X_b,list(X_a)),fun(list(X_b),list(X_a)),maps(X_b,X_a),F),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),X_1),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_b,list(X_a),F,X_1)),hAPP(list(X_b),list(X_a),hAPP(fun(X_b,list(X_a)),fun(list(X_b),list(X_a)),maps(X_b,X_a),F),Xs_1)).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a))))=Xs.
% 61.39/61.05 0 [] hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a))))=ti(X_a,X).
% 61.39/61.05 0 [] top_top(fun(X_a,bool))=hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(bool,fun(X_a,bool),combk(bool,X_a),fTrue)).
% 61.39/61.05 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),U),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),X_1))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),U),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Ba),Y_1)))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))!=Ys|Ys!=nil(X_a).
% 61.39/61.05 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))!=Ys|hAPP(list(X_a),list(X_a),butlast(X_a),Ys)=Xs_1.
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))!=Ys|hAPP(list(X_a),X_a,last(X_a),Ys)=ti(X_a,X_1).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))=Ys|Ys=nil(X_a)|hAPP(list(X_a),list(X_a),butlast(X_a),Ys)!=Xs_1|hAPP(list(X_a),X_a,last(X_a),Ys)!=ti(X_a,X_1).
% 61.39/61.06 0 [] Y_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),B_2),Z)|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),Y_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),U)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),X_1),V))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f86(X_a,X_1,U,V,R_1)),$f86(X_a,X_1,U,V,R_1))),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),U),V)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,Pa,nil(X_a)))|hBOOL(hAPP(list(X_a),bool,Pa,$f87(X_a,Xs_1,Pa)))|hBOOL(hAPP(list(X_a),bool,Pa,Xs_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,Pa,nil(X_a)))| -hBOOL(hAPP(list(X_a),bool,Pa,hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f87(X_a,Xs_1,Pa)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f88(X_a,Xs_1,Pa)),nil(X_a)))))|hBOOL(hAPP(list(X_a),bool,Pa,Xs_1)).
% 61.39/61.06 0 [] Xs=nil(X_a)|Xs=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f90(X_a,Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f89(X_a,Xs)),nil(X_a))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Xs_1=Ys.
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|ti(X_a,X_1)=ti(X_a,Y_1)|Xs_1=Ys.
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|ti(X_a,X_1)=ti(X_a,Y_1)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1)).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Xs_1!=Ys| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),list(X_a)),hAPP(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),list(X_a))),list_case(list(X_a),X_a),nil(X_a)),hAPP(fun(X_a,list(X_a)),fun(X_a,fun(list(X_a),list(X_a))),hAPP(fun(list(X_a),fun(list(X_a),list(X_a))),fun(fun(X_a,list(X_a)),fun(X_a,fun(list(X_a),list(X_a)))),combb(list(X_a),fun(list(X_a),list(X_a)),X_a),hAPP(fun(list(X_a),fun(list(X_a),list(X_a))),fun(list(X_a),fun(list(X_a),list(X_a))),combc(list(X_a),list(X_a),list(X_a)),append(X_a))),hAPP(list(X_a),fun(X_a,list(X_a)),hAPP(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),fun(X_a,list(X_a))),combc(X_a,list(X_a),list(X_a)),cons(X_a)),nil(X_a)))),Xs_1).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rotate1(X_a),nil(X_a))=nil(X_a).
% 61.39/61.06 0 [] hAPP(list(X_b),list(X_b),rotate1(X_b),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),X),Xs))=hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Xs),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),X),nil(X_b))).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f91(X_a)),top_top(fun(X_a,bool)))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f92(X_a,A_2)),A_2))|top_top(fun(X_a,bool))=ti(fun(X_a,bool),A_2).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1)!=nil(X_a)|Xs_1=nil(X_a).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1)=nil(X_a)|Xs_1!=nil(X_a).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1)))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1)).
% 61.39/61.06 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1)))| -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Us_1!=Vs_1|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us_1)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Vs_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] Xs_1!=Ys| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Us_1),Vs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us_1)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys),Vs_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Xs_1=Ys|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Xs_1=Ys|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|Xs_1!=Ys.
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|ti(X_a,X_1)!=ti(X_a,Y_1)| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Xs_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Vs_1))|Ys!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Vs_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f96(X_a,Xs_1,Ys,R_1)),$f95(X_a,Xs_1,Ys,R_1))),R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f94(X_a,Xs_1,Ys,R_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f96(X_a,Xs_1,Ys,R_1)),$f93(X_a,Xs_1,Ys,R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Ys=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f94(X_a,Xs_1,Ys,R_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f95(X_a,Xs_1,Ys,R_1)),$f93(X_a,Xs_1,Ys,R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f97(X_a,X_1,Xs_1,Ys,R_1)),Xs_1)|Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f98(X_a,X_1,Xs_1,Ys,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f97(X_a,X_1,Xs_1,Ys,R_1)),Xs_1)|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),$f98(X_a,X_1,Xs_1,Ys,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),$f97(X_a,X_1,Xs_1,Ys,R_1))),R_1))|Ys=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f98(X_a,X_1,Xs_1,Ys,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),$f97(X_a,X_1,Xs_1,Ys,R_1))),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),$f98(X_a,X_1,Xs_1,Ys,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f99(X_a,Xs_1,Y_1,Ys,R_1)),Ys)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),$f100(X_a,Xs_1,Y_1,Ys,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f99(X_a,Xs_1,Y_1,Ys,R_1)),Ys)|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),$f100(X_a,Xs_1,Y_1,Ys,R_1)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f99(X_a,Xs_1,Y_1,Ys,R_1)),Y_1)),R_1))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),$f100(X_a,Xs_1,Y_1,Ys,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f99(X_a,Xs_1,Y_1,Ys,R_1)),Y_1)),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),$f100(X_a,Xs_1,Y_1,Ys,R_1)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))).
% 61.39/61.06 0 [] arrow_1568854078le_Lin=hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),collect(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(arrow_2142409994le_alt,bool),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),order_215145569der_on(arrow_2142409994le_alt),top_top(fun(arrow_2142409994le_alt,bool)))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)| -hBOOL(hAPP(X_a,bool,Pa,Y_1)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))|hBOOL(hAPP(X_a,bool,Pa,Y_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1))).
% 61.39/61.06 0 [] hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))),product_prod_case(list(X_a),list(X_a),product_prod(list(X_a),list(X_a))),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))))),combs(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),fun(list(X_a),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a))))),hAPP(fun(fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),fun(list(X_a),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a)))))),combb(fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),product_prod(list(X_a),list(X_a)))),list(X_a)),combs(list(X_a),product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),hAPP(fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))))),combb(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),list(X_a)),hAPP(fun(product_prod(list(X_a),list(X_a)),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))))),combb(product_prod(list(X_a),list(X_a)),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a))),list(X_a)),hAPP(bool,fun(product_prod(list(X_a),list(X_a)),fun(product_prod(list(X_a),list(X_a)),product_prod(list(X_a),list(X_a)))),if(product_prod(list(X_a),list(X_a))),hAPP(X_a,bool,Pa,X_1)))),hAPP(fun(list(X_a),list(X_a)),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(fun(list(X_a),list(X_a)),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))))),combb(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),list(X_a)),product_Pair(list(X_a),list(X_a))),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1))))),hAPP(fun(list(X_a),list(X_a)),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),list(X_a)),fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))))),combc(list(X_a),fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a)))),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a))))),hAPP(fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a))))),fun(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a)))))),combb(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(fun(list(X_a),list(X_a)),fun(list(X_a),product_prod(list(X_a),list(X_a)))),list(X_a)),combb(list(X_a),product_prod(list(X_a),list(X_a)),list(X_a))),product_Pair(list(X_a),list(X_a)))),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1)))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),Xs_1)).
% 61.39/61.06 0 [] hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),F),hAPP(product_prod(X_d,X_e),product_prod(X_b,X_c),hAPP(fun(X_d,fun(X_e,product_prod(X_b,X_c))),fun(product_prod(X_d,X_e),product_prod(X_b,X_c)),product_prod_case(X_d,X_e,product_prod(X_b,X_c)),G),P_1))=hAPP(product_prod(X_d,X_e),X_a,hAPP(fun(X_d,fun(X_e,X_a)),fun(product_prod(X_d,X_e),X_a),product_prod_case(X_d,X_e,X_a),hAPP(fun(X_d,fun(X_e,product_prod(X_b,X_c))),fun(X_d,fun(X_e,X_a)),hAPP(fun(fun(X_e,product_prod(X_b,X_c)),fun(X_e,X_a)),fun(fun(X_d,fun(X_e,product_prod(X_b,X_c))),fun(X_d,fun(X_e,X_a))),combb(fun(X_e,product_prod(X_b,X_c)),fun(X_e,X_a),X_d),hAPP(fun(product_prod(X_b,X_c),X_a),fun(fun(X_e,product_prod(X_b,X_c)),fun(X_e,X_a)),combb(product_prod(X_b,X_c),X_a,X_e),hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),F))),G)),P_1).
% 61.39/61.06 0 [] ti(product_prod(X_a,X_b),P_1)!=ti(product_prod(X_a,X_b),Q_2)|hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),Ca),P_1)=hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),Ca),Q_2).
% 61.39/61.06 0 [] hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),F1),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))=hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),F1,Aa),Ba).
% 61.39/61.06 0 [] hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),F),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba))=hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),F,Aa),Ba).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_a,bool,Pa,X_1))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1).
% 61.39/61.06 0 [] hBOOL(hAPP(X_a,bool,Pa,X_1))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),nil(X_a))=nil(X_a).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))).
% 61.39/61.06 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))).
% 61.39/61.06 0 [] hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,X_c)),hAPP(fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,X_c)),fun(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,X_c))),combb(fun(X_b,product_prod(X_a,X_b)),fun(X_b,X_c),X_a),hAPP(fun(product_prod(X_a,X_b),X_c),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,X_c)),combb(product_prod(X_a,X_b),X_c,X_b),F)),product_Pair(X_a,X_b)))=ti(fun(product_prod(X_a,X_b),X_c),F).
% 61.39/61.06 0 [] hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),hAPP(fun(product_prod(X_a,X_b),X_c),fun(X_a,fun(X_b,X_c)),product_curry(X_a,X_b,X_c),F))=ti(fun(product_prod(X_a,X_b),X_c),F).
% 61.39/61.06 0 [] hAPP(fun(product_prod(X_a,X_b),X_c),fun(X_a,fun(X_b,X_c)),product_curry(X_a,X_b,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),F))=ti(fun(X_a,fun(X_b,X_c)),F).
% 61.39/61.06 0 [] produc1605651328_split(X_a,X_b,X_c)=product_prod_case(X_a,X_b,X_c).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))=Xs_1.
% 61.39/61.06 0 [] hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),F,$f102(X_b,X_c,X_a,F,G)),$f101(X_b,X_c,X_a,F,G))!=hAPP(product_prod(X_a,X_b),X_c,G,hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f102(X_b,X_c,X_a,F,G)),$f101(X_b,X_c,X_a,F,G)))|hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),F)=ti(fun(product_prod(X_a,X_b),X_c),G).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_a,bool,Q_1,hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),Pa),Z_2)))|ti(product_prod(X_b,X_c),Z_2)=hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),$f104(X_a,X_b,X_c,Q_1,Pa,Z_2)),$f103(X_a,X_b,X_c,Q_1,Pa,Z_2)).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_a,bool,Q_1,hAPP(product_prod(X_b,X_c),X_a,hAPP(fun(X_b,fun(X_c,X_a)),fun(product_prod(X_b,X_c),X_a),product_prod_case(X_b,X_c,X_a),Pa),Z_2)))|hBOOL(hAPP(X_a,bool,Q_1,hAPP(X_c,X_a,hAPP(X_b,fun(X_c,X_a),Pa,$f104(X_a,X_b,X_c,Q_1,Pa,Z_2)),$f103(X_a,X_b,X_c,Q_1,Pa,Z_2)))).
% 61.39/61.06 0 [] hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f106(X_c,X_b,X_a,P_1,F,G,Q_2)),$f105(X_c,X_b,X_a,P_1,F,G,Q_2))=ti(product_prod(X_a,X_b),Q_2)|ti(product_prod(X_a,X_b),P_1)!=ti(product_prod(X_a,X_b),Q_2)|hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),F),P_1)=hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),G),Q_2).
% 61.39/61.06 0 [] hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),F,$f106(X_c,X_b,X_a,P_1,F,G,Q_2)),$f105(X_c,X_b,X_a,P_1,F,G,Q_2))!=hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),G,$f106(X_c,X_b,X_a,P_1,F,G,Q_2)),$f105(X_c,X_b,X_a,P_1,F,G,Q_2))|ti(product_prod(X_a,X_b),P_1)!=ti(product_prod(X_a,X_b),Q_2)|hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),F),P_1)=hAPP(product_prod(X_a,X_b),X_c,hAPP(fun(X_a,fun(X_b,X_c)),fun(product_prod(X_a,X_b),X_c),product_prod_case(X_a,X_b,X_c),G),Q_2).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1))).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))|ti(X_a,X_1)!=ti(X_a,Y_1)| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1))).
% 61.39/61.06 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),Ws_1))|Ws_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f110(X_a,Ws_1)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f107(X_a,Ws_1)),nil(X_a))),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f109(X_a,Ws_1)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f107(X_a,Ws_1)),nil(X_a))),$f108(X_a,Ws_1))))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),list(X_a)),hAPP(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),list(X_a))),list_case(list(X_a),X_a),hAPP(list(X_a),list(X_a),tl(X_a),Ys)),hAPP(fun(list(X_a),list(X_a)),fun(X_a,fun(list(X_a),list(X_a))),combk(fun(list(X_a),list(X_a)),X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),hAPP(fun(list(X_a),fun(list(X_a),list(X_a))),fun(list(X_a),fun(list(X_a),list(X_a))),combc(list(X_a),list(X_a),list(X_a)),append(X_a)),Ys))),Xs_1).
% 61.39/61.06 0 [] -cl_HOL_Oe_qual(X_a)|e_qual_e_qual(X_a)=fe_qual(X_a).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),F,Aa),Ba))|hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),F),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba))).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),F1,Aa),Ba))|hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),F1),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(X_c,fun(X_a,bool),hAPP(X_b,fun(X_c,fun(X_a,bool)),Ca,Aa),Ba)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(product_prod(X_b,X_c),fun(X_a,bool),hAPP(fun(X_b,fun(X_c,fun(X_a,bool))),fun(product_prod(X_b,X_c),fun(X_a,bool)),product_prod_case(X_b,X_c,fun(X_a,bool)),Ca),hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),Aa),Ba)))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|Xs_1=nil(X_a).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|Xs_1=nil(X_a).
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)|Xs!=Ys_1.
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys).
% 61.39/61.06 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),F),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),F,Aa),Ba)).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_c,bool,hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),R_2),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)),Ca))|hBOOL(hAPP(X_c,bool,hAPP(X_b,fun(X_c,bool),hAPP(X_a,fun(X_b,fun(X_c,bool)),R_2,Aa),Ba),Ca)).
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),rotate1(X_a),Xs))=hAPP(list(X_a),nat,size_size(list(X_a)),Xs).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=Xs.
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),tl(X_a),nil(X_a))=nil(X_a).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),tl(X_a),Xs))).
% 61.39/61.06 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),tl(X_a),Xs))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),nil(X_a)),nil(X_a))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] Xs=nil(X_a)|hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),tl(X_a),Xs)),Ys_1).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),X_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Y_1).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),X_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Y_1).
% 61.39/61.06 0 [] -cl_HOL_Oe_qual(X_a)|fe_qual(X_a)=e_qual_e_qual(X_a).
% 61.39/61.06 0 [] -cl_HOL_Oe_qual(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),e_qual_e_qual(X_a),X_1),Y_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.39/61.06 0 [] -cl_HOL_Oe_qual(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),e_qual_e_qual(X_a),X_1),Y_1))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.39/61.06 0 [] -cl_HOL_Oe_qual(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),e_qual_e_qual(X_a),X),X)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f112(X_a,Xs_1,Y_1,Ys,R_1)),$f111(X_a,Xs_1,Y_1,Ys,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f112(X_a,Xs_1,Y_1,Ys,R_1)),Y_1)),R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),$f111(X_a,Xs_1,Y_1,Ys,R_1)),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f114(X_a,Y_1,Ys,Xs_1,R_1)),$f113(X_a,Y_1,Ys,Xs_1,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Y_1),$f114(X_a,Y_1,Ys,Xs_1,R_1))),R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),$f113(X_a,Y_1,Ys,Xs_1,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,nil(X_a)),nil(X_b)))|hAPP(list(X_a),nat,size_size(list(X_a)),$f117(X_a,X_b,Pa,Xs_1,Ys))=hAPP(list(X_b),nat,size_size(list(X_b)),$f115(X_a,X_b,Pa,Xs_1,Ys))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,Xs_1),Ys)).
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,nil(X_a)),nil(X_b)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,$f117(X_a,X_b,Pa,Xs_1,Ys)),$f115(X_a,X_b,Pa,Xs_1,Ys)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,Xs_1),Ys)).
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,nil(X_a)),nil(X_b)))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f118(X_a,X_b,Pa,Xs_1,Ys)),$f117(X_a,X_b,Pa,Xs_1,Ys))),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),$f116(X_a,X_b,Pa,Xs_1,Ys)),$f115(X_a,X_b,Pa,Xs_1,Ys))))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),Pa,Xs_1),Ys)).
% 61.39/61.06 0 [] ti(product_prod(X_a,X_b),P_1)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f120(X_a,X_b,Ca,P_1)),$f119(X_a,X_b,Ca,P_1))|hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Ca),P_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Ca,$f120(X_a,X_b,Ca,P_1)),$f119(X_a,X_b,Ca,P_1)))|hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Ca),P_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Ca),P_1))|ti(product_prod(X_a,X_b),P_1)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f122(X_a,X_b,Ca,P_1)),$f121(X_a,X_b,Ca,P_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Ca),P_1))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Ca,$f122(X_a,X_b,Ca,P_1)),$f121(X_a,X_b,Ca,P_1))).
% 61.39/61.06 0 [] ti(product_prod(X_a,X_b),P_1)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f124(X_c,X_a,X_b,Z_2,Ca,P_1)),$f123(X_c,X_a,X_b,Z_2,Ca,P_1))|hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),Z_2),hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),Z_2),hAPP(X_b,fun(X_c,bool),hAPP(X_a,fun(X_b,fun(X_c,bool)),Ca,$f124(X_c,X_a,X_b,Z_2,Ca,P_1)),$f123(X_c,X_a,X_b,Z_2,Ca,P_1))))|hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),Z_2),hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1))).
% 61.39/61.06 0 [] hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f126(X_c,X_b,X_a,Ca,X_1,P_1)),$f125(X_c,X_b,X_a,Ca,X_1,P_1))=ti(product_prod(X_a,X_b),P_1)|hBOOL(hAPP(X_c,bool,hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1),X_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_c,bool,hAPP(X_b,fun(X_c,bool),hAPP(X_a,fun(X_b,fun(X_c,bool)),Ca,$f126(X_c,X_b,X_a,Ca,X_1,P_1)),$f125(X_c,X_b,X_a,Ca,X_1,P_1)),X_1))|hBOOL(hAPP(X_c,bool,hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1),X_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(product_prod(X_b,X_c),fun(X_a,bool),hAPP(fun(X_b,fun(X_c,fun(X_a,bool))),fun(product_prod(X_b,X_c),fun(X_a,bool)),product_prod_case(X_b,X_c,fun(X_a,bool)),Ca),P_1)))|ti(product_prod(X_b,X_c),P_1)=hAPP(X_c,product_prod(X_b,X_c),hAPP(X_b,fun(X_c,product_prod(X_b,X_c)),product_Pair(X_b,X_c),$f128(X_a,X_b,X_c,Z_2,Ca,P_1)),$f127(X_a,X_b,X_c,Z_2,Ca,P_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(product_prod(X_b,X_c),fun(X_a,bool),hAPP(fun(X_b,fun(X_c,fun(X_a,bool))),fun(product_prod(X_b,X_c),fun(X_a,bool)),product_prod_case(X_b,X_c,fun(X_a,bool)),Ca),P_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Z_2),hAPP(X_c,fun(X_a,bool),hAPP(X_b,fun(X_c,fun(X_a,bool)),Ca,$f128(X_a,X_b,X_c,Z_2,Ca,P_1)),$f127(X_a,X_b,X_c,Z_2,Ca,P_1)))).
% 61.39/61.06 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),hAPP(fun(X_a,fun(X_b,bool)),fun(X_a,fun(X_b,bool)),hAPP(fun(fun(X_b,bool),fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),fun(X_a,fun(X_b,bool))),combb(fun(X_b,bool),fun(X_b,bool),X_a),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),hAPP(bool,fun(bool,bool),fconj,Pa))),Q_1)),X_2))|hBOOL(Pa).
% 61.39/61.06 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),hAPP(fun(X_a,fun(X_b,bool)),fun(X_a,fun(X_b,bool)),hAPP(fun(fun(X_b,bool),fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),fun(X_a,fun(X_b,bool))),combb(fun(X_b,bool),fun(X_b,bool),X_a),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),hAPP(bool,fun(bool,bool),fconj,Pa))),Q_1)),X_2))|hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Q_1),X_2)).
% 61.39/61.06 0 [] hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),hAPP(fun(X_a,fun(X_b,bool)),fun(X_a,fun(X_b,bool)),hAPP(fun(fun(X_b,bool),fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),fun(X_a,fun(X_b,bool))),combb(fun(X_b,bool),fun(X_b,bool),X_a),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),hAPP(bool,fun(bool,bool),fconj,Pa))),Q_1)),X_2))| -hBOOL(Pa)| -hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Q_1),X_2)).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_c,bool,hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1),Z_2))|ti(product_prod(X_a,X_b),P_1)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f130(X_c,X_a,X_b,Ca,P_1,Z_2)),$f129(X_c,X_a,X_b,Ca,P_1,Z_2)).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_c,bool,hAPP(product_prod(X_a,X_b),fun(X_c,bool),hAPP(fun(X_a,fun(X_b,fun(X_c,bool))),fun(product_prod(X_a,X_b),fun(X_c,bool)),product_prod_case(X_a,X_b,fun(X_c,bool)),Ca),P_1),Z_2))|hBOOL(hAPP(X_c,bool,hAPP(X_b,fun(X_c,bool),hAPP(X_a,fun(X_b,fun(X_c,bool)),Ca,$f130(X_c,X_a,X_b,Ca,P_1,Z_2)),$f129(X_c,X_a,X_b,Ca,P_1,Z_2)),Z_2)).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),hAPP(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),hAPP(fun(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)))),combb(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),X_a),combc(X_a,fun(product_prod(X_a,X_a),bool),bool)),hAPP(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),hAPP(fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)))),combb(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),combb(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),X_a),member(product_prod(X_a,X_a)))),product_Pair(X_a,X_a)))),R_1)),X_2),Xa))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_2),Xa)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),hAPP(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),hAPP(fun(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)))),combb(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),X_a),combc(X_a,fun(product_prod(X_a,X_a),bool),bool)),hAPP(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),hAPP(fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)))),combb(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),combb(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),X_a),member(product_prod(X_a,X_a)))),product_Pair(X_a,X_a)))),R_1)),X_2),Xa))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_2),Xa)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] Xs=nil(X_a)|hAPP(list(X_a),list(X_a),rotate1(X_a),Xs)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),tl(X_a),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(list(X_a),X_a,hd(X_a),Xs)),nil(X_a))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A1=nil(X_a)|A1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f134(X_a,A1,A2,R_1)),$f132(X_a,A1,A2,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A1=nil(X_a)|A2=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f133(X_a,A1,A2,R_1)),$f131(X_a,A1,A2,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A1=nil(X_a)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f134(X_a,A1,A2,R_1)),$f133(X_a,A1,A2,R_1))),R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A1=nil(X_a)|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),$f132(X_a,A1,A2,R_1)),$f131(X_a,A1,A2,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A2=nil(X_a)|A1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f134(X_a,A1,A2,R_1)),$f132(X_a,A1,A2,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A2=nil(X_a)|A2=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f133(X_a,A1,A2,R_1)),$f131(X_a,A1,A2,R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A2=nil(X_a)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f134(X_a,A1,A2,R_1)),$f133(X_a,A1,A2,R_1))),R_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A2=nil(X_a)|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),$f132(X_a,A1,A2,R_1)),$f131(X_a,A1,A2,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A1!=nil(X_a)|A2!=nil(X_a).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|A1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)|A2!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_2),Y_2)),R_1))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_2),Ys_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(nat,fun(product_prod(list(X_a),list(X_a)),bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(nat,fun(product_prod(list(X_a),list(X_a)),bool)),lexn(X_a),R_1),N_2)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=N_2.
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(nat,fun(product_prod(list(X_a),list(X_a)),bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(nat,fun(product_prod(list(X_a),list(X_a)),bool)),lexn(X_a),R_1),N_2)))|hAPP(list(X_a),nat,size_size(list(X_a)),Ys)=N_2.
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),$f135(X_a,N))=N.
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),I_2),X)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a)))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),I_2),X)).
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=N.
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),K),X))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),K),X)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)).
% 61.39/61.06 0 [] hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=ti(X_a,X).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),Xs)).
% 61.39/61.06 0 [] -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,X_1),Y_1))| -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),Xs_1),Ys))|hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))).
% 61.39/61.06 0 [] hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),nil(X_a)),nil(X_a))).
% 61.39/61.06 0 [] Xs!=nil(X_a)|hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,hd(X_a),Ys_1).
% 61.39/61.06 0 [] Xs=nil(X_a)|hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,hd(X_a),Xs).
% 61.39/61.06 0 [] Xs=nil(X_a)|hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),X_a,hd(X_a),Xs).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)=nil(X_a)| -hBOOL(hAPP(X_a,bool,Pa,hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)))).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A1=nil(X_a)|A1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f139(X_a,R_1,A1,A2)),$f137(X_a,R_1,A1,A2)).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A1=nil(X_a)|A2=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f138(X_a,R_1,A1,A2)),$f136(X_a,R_1,A1,A2)).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A1=nil(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,$f139(X_a,R_1,A1,A2)),$f138(X_a,R_1,A1,A2))).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A1=nil(X_a)|hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),$f137(X_a,R_1,A1,A2)),$f136(X_a,R_1,A1,A2))).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A2=nil(X_a)|A1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f139(X_a,R_1,A1,A2)),$f137(X_a,R_1,A1,A2)).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A2=nil(X_a)|A2=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f138(X_a,R_1,A1,A2)),$f136(X_a,R_1,A1,A2)).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A2=nil(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,$f139(X_a,R_1,A1,A2)),$f138(X_a,R_1,A1,A2))).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A2=nil(X_a)|hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),$f137(X_a,R_1,A1,A2)),$f136(X_a,R_1,A1,A2))).
% 61.39/61.06 0 [] hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A1!=nil(X_a)|A2!=nil(X_a).
% 61.39/61.06 0 [] hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),A1),A2))|A1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)|A2!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,X_2),Y_2))| -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),listrelp(X_a),R_1),Xs_2),Ys_2)).
% 61.39/61.06 0 [] Xs=nil(X_a)|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs))=hAPP(list(X_a),X_a,hd(X_a),Xs).
% 61.39/61.06 0 [] Xs=nil(X_a)|hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs))=hAPP(list(X_a),X_a,last(X_a),Xs).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))),Xs_1).
% 61.39/61.06 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Ys_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),Y)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Ys_1)).
% 61.39/61.06 0 [] hAPP(fun(X_b,X_d),fun(product_prod(X_a,X_b),product_prod(X_c,X_d)),hAPP(fun(X_a,X_c),fun(fun(X_b,X_d),fun(product_prod(X_a,X_b),product_prod(X_c,X_d))),product_map_pair(X_a,X_c,X_b,X_d),F),G)=hAPP(fun(X_a,fun(X_b,product_prod(X_c,X_d))),fun(product_prod(X_a,X_b),product_prod(X_c,X_d)),product_prod_case(X_a,X_b,product_prod(X_c,X_d)),hAPP(fun(X_b,X_d),fun(X_a,fun(X_b,product_prod(X_c,X_d))),hAPP(fun(X_a,fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d)))),fun(fun(X_b,X_d),fun(X_a,fun(X_b,product_prod(X_c,X_d)))),combc(X_a,fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d))),hAPP(fun(X_a,fun(X_d,product_prod(X_c,X_d))),fun(X_a,fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d)))),hAPP(fun(fun(X_d,product_prod(X_c,X_d)),fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d)))),fun(fun(X_a,fun(X_d,product_prod(X_c,X_d))),fun(X_a,fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d))))),combb(fun(X_d,product_prod(X_c,X_d)),fun(fun(X_b,X_d),fun(X_b,product_prod(X_c,X_d))),X_a),combb(X_d,product_prod(X_c,X_d),X_b)),hAPP(fun(X_a,X_c),fun(X_a,fun(X_d,product_prod(X_c,X_d))),hAPP(fun(X_c,fun(X_d,product_prod(X_c,X_d))),fun(fun(X_a,X_c),fun(X_a,fun(X_d,product_prod(X_c,X_d)))),combb(X_c,fun(X_d,product_prod(X_c,X_d)),X_a),product_Pair(X_c,X_d)),F))),G)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Xs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))).
% 61.39/61.06 0 [] hAPP(product_prod(X_a,X_b),product_prod(X_a,X_b),hAPP(fun(X_b,X_b),fun(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(fun(X_a,X_a),fun(fun(X_b,X_b),fun(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_map_pair(X_a,X_a,X_b,X_b),combi(X_a)),combi(X_b)),X_2)=ti(product_prod(X_a,X_b),X_2).
% 61.39/61.06 0 [] I_2=I_4|hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),I_4),X_3)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_4),X_3)),I_2),X).
% 61.39/61.06 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),I_2),Y)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),Y).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)!=hAPP(list(X_a),list(X_a),rev(X_a),Ys)|Xs_1=Ys.
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=hAPP(list(X_a),list(X_a),rev(X_a),Ys)|Xs_1!=Ys.
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)!=Ys|Xs_1=hAPP(list(X_a),list(X_a),rev(X_a),Ys).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=Ys|Xs_1!=hAPP(list(X_a),list(X_a),rev(X_a),Ys).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs))=Xs.
% 61.39/61.06 0 [] hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))=hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),nil(X_a))=nil(X_a).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),nil(X_a))=nil(X_a).
% 61.39/61.06 0 [] nil(X_a)!=hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)|Xs_1=nil(X_a).
% 61.39/61.06 0 [] nil(X_a)=hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)|Xs_1!=nil(X_a).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)!=nil(X_a)|Xs_1=nil(X_a).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=nil(X_a)|Xs_1!=nil(X_a).
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),rev(X_a),Xs))=hAPP(list(X_a),nat,size_size(list(X_a)),Xs).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Ys_1)),hAPP(list(X_a),list(X_a),rev(X_a),Xs)).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),Xs))).
% 61.39/61.06 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))).
% 61.39/61.06 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),K_1),X_1)!=nil(X_a)|Xs_1=nil(X_a).
% 61.39/61.06 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),K_1),X_1)=nil(X_a)|Xs_1!=nil(X_a).
% 61.39/61.06 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),nil(X_a)),I_2),V_1)=nil(X_a).
% 61.39/61.06 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),nil(X_a)),I_2),Y)=nil(X_a).
% 61.39/61.06 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X))=hAPP(list(X_a),nat,size_size(list(X_a)),Xs).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1)).
% 61.39/61.06 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)))| -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))=hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),butlast(X_a),Xs)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs))=hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs)).
% 61.39/61.06 0 [] hAPP(product_prod(X_c,X_d),product_prod(X_a,X_b),hAPP(fun(X_d,X_b),fun(product_prod(X_c,X_d),product_prod(X_a,X_b)),hAPP(fun(X_c,X_a),fun(fun(X_d,X_b),fun(product_prod(X_c,X_d),product_prod(X_a,X_b))),product_map_pair(X_c,X_a,X_d,X_b),F),G),hAPP(X_d,product_prod(X_c,X_d),hAPP(X_c,fun(X_d,product_prod(X_c,X_d)),product_Pair(X_c,X_d),Aa),Ba))=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),hAPP(X_c,X_a,F,Aa)),hAPP(X_d,X_b,G,Ba)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys))),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))!=hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))=hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Ys))),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1))))|hAPP(list(X_a),nat,size_size(list(X_a)),X_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Y_1).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Ys)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Ys)|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Ys)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),nil(X_a))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Aa)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),P_1),R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),P_1),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),R_1))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Ba),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Ba),Ca)),R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Ba),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ca)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),X_1))),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1))=hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),X_1))),Xs_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),X_1))),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(X_a,fun(X_a,bool),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,bool)),combc(X_a,X_a,bool),fe_qual(X_a)),X_1))),Xs_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Y_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))))|ti(X_a,Y_1)=ti(X_a,X_1)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Y_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.06 0 [] hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1))=hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)!=Xs_1| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,X_2)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=Xs_1|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f140(X_a,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=Xs_1| -hBOOL(hAPP(X_a,bool,Pa,$f140(X_a,Pa,Xs_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))))|hBOOL(hAPP(X_a,bool,Pa,X_1)).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs_1))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.06 0 [] hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),rotate1(X_a),Xs_1))=hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X_1),Xs_1)=Xs_1.
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1)).
% 61.39/61.06 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1)).
% 61.39/61.06 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))| -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Ys))| -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Ys))|hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)!=hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys)|Xs_1=Ys.
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,X_1))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1).
% 61.39/61.06 0 [] As=nil(X_a)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),hAPP(list(X_a),X_a,last(X_a),As)),hAPP(list(X_a),fun(X_a,bool),set(X_a),As))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)!=nil(X_a)| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,X_2)).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)=nil(X_a)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f141(X_a,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.06 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)=nil(X_a)| -hBOOL(hAPP(X_a,bool,Pa,$f141(X_a,Pa,Xs_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs_1))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Ys))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))))).
% 61.39/61.06 0 [] Xs_1=nil(X_a)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),hAPP(list(X_a),X_a,hd(X_a),Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,X_1))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)),Ys).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X_1),Xs_1)=Xs_1.
% 61.39/61.06 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X_1),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),insert(X_a),X_1),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1).
% 61.39/61.06 0 [] hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),Xs_1)!=hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Yes),No)| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Yes)))|hBOOL(hAPP(X_a,bool,Pa,X_2)).
% 61.39/61.06 0 [] hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(fun(X_a,bool),fun(list(X_a),product_prod(list(X_a),list(X_a))),partition(X_a),Pa),Xs_1)!=hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Yes),No)| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X2),hAPP(list(X_a),fun(X_a,bool),set(X_a),No)))| -hBOOL(hAPP(X_a,bool,Pa,X2)).
% 61.39/61.06 0 [] hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))=hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f144(X_a,Zs_1,Ys,R_1,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f144(X_a,Zs_1,Ys,R_1,Xs_1)),$f143(X_a,Zs_1,Ys,R_1,Xs_1))),R_1))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.06 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f143(X_a,Zs_1,Ys,R_1,Xs_1)),$f142(X_a,Zs_1,Ys,R_1,Xs_1))),R_1))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.06 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f144(X_a,Zs_1,Ys,R_1,Xs_1)),$f142(X_a,Zs_1,Ys,R_1,Xs_1))),R_1))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Ys),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Zs_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f145(X_a,Ys,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Ys).
% 61.39/61.07 0 [] -hBOOL(hAPP(X_a,bool,Pa,$f145(X_a,Ys,Pa,Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Ys).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f146(X_a,Ys,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Ys)).
% 61.39/61.07 0 [] -hBOOL(hAPP(X_a,bool,Pa,$f146(X_a,Ys,Pa,Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Ys)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f149(X_a,Pa,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f148(X_a,Pa,Xs_1)),$f147(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(X_a,bool,Pa,$f148(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f151(X_a,X_1,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f150(X_a,X_1,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f151(X_a,X_1,Xs_1)))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys_2))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f153(X_a,X_1,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f152(X_a,X_1,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f152(X_a,X_1,Xs_1)))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Zs))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f155(X_a,X_1,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f154(X_a,X_1,Xs_1))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Zs)).
% 61.39/61.07 0 [] L_1!=K_1|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f156(X_a,Q_1,Pa,L_1,K_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),L_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),L_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Q_1),K_1).
% 61.39/61.07 0 [] L_1!=K_1|hBOOL(hAPP(X_a,bool,Pa,$f156(X_a,Q_1,Pa,L_1,K_1)))|hBOOL(hAPP(X_a,bool,Q_1,$f156(X_a,Q_1,Pa,L_1,K_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),L_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Q_1),K_1).
% 61.39/61.07 0 [] L_1!=K_1| -hBOOL(hAPP(X_a,bool,Pa,$f156(X_a,Q_1,Pa,L_1,K_1)))| -hBOOL(hAPP(X_a,bool,Q_1,$f156(X_a,Q_1,Pa,L_1,K_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),L_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Q_1),K_1).
% 61.39/61.07 0 [] L_1!=K_1|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f157(X_a,Q_1,Pa,L_1,K_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),L_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),L_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Q_1),K_1).
% 61.39/61.07 0 [] L_1!=K_1|hBOOL(hAPP(X_a,bool,Pa,$f157(X_a,Q_1,Pa,L_1,K_1)))|hBOOL(hAPP(X_a,bool,Q_1,$f157(X_a,Q_1,Pa,L_1,K_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),L_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Q_1),K_1).
% 61.39/61.07 0 [] L_1!=K_1| -hBOOL(hAPP(X_a,bool,Pa,$f157(X_a,Q_1,Pa,L_1,K_1)))| -hBOOL(hAPP(X_a,bool,Q_1,$f157(X_a,Q_1,Pa,L_1,K_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),L_1)=hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Q_1),K_1).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(X_a,bool,Pa,Aa))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),$f159(X_a,Pa,Aa,Ba,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|hBOOL(hAPP(X_a,bool,Pa,Ba)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(X_a,bool,Pa,Aa))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f159(X_a,Pa,Aa,Ba,R_1)),$f158(X_a,Pa,Aa,Ba,R_1))),R_1))|hBOOL(hAPP(X_a,bool,Pa,Ba)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(X_a,bool,Pa,Aa))|hBOOL(hAPP(X_a,bool,Pa,$f159(X_a,Pa,Aa,Ba,R_1)))|hBOOL(hAPP(X_a,bool,Pa,Ba)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(X_a,bool,Pa,Aa))| -hBOOL(hAPP(X_a,bool,Pa,$f158(X_a,Pa,Aa,Ba,R_1)))|hBOOL(hAPP(X_a,bool,Pa,Ba)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(X_a,bool,Pa,Ba))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f161(X_a,Pa,Aa,Ba,R_1)),$f160(X_a,Pa,Aa,Ba,R_1))),R_1))|hBOOL(hAPP(X_a,bool,Pa,Aa)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(X_a,bool,Pa,Ba))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f160(X_a,Pa,Aa,Ba,R_1)),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|hBOOL(hAPP(X_a,bool,Pa,Aa)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(X_a,bool,Pa,Ba))|hBOOL(hAPP(X_a,bool,Pa,$f160(X_a,Pa,Aa,Ba,R_1)))|hBOOL(hAPP(X_a,bool,Pa,Aa)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(X_a,bool,Pa,Ba))| -hBOOL(hAPP(X_a,bool,Pa,$f161(X_a,Pa,Aa,Ba,R_1)))|hBOOL(hAPP(X_a,bool,Pa,Aa)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Z_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,X_1)=ti(X_a,Z_2)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),$f162(X_a,X_1,Z_2,R_1))),R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Z_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,X_1)=ti(X_a,Z_2)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f162(X_a,X_1,Z_2,R_1)),Z_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,Aa)=ti(X_a,Ba)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),$f163(X_a,Aa,Ba,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,Aa)=ti(X_a,Ba)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f163(X_a,Aa,Ba,R_1)),Ba)),R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f166(X_a,Pa,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f165(X_a,Pa,Xs_1)),$f164(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(X_a,bool,Pa,$f165(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f166(X_a,Pa,Xs_1))))| -hBOOL(hAPP(X_a,bool,Pa,Xa)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f169(X_a,Pa,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f168(X_a,Pa,Xs_1)),$f167(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(X_a,bool,Pa,$f168(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f167(X_a,Pa,Xs_1))))| -hBOOL(hAPP(X_a,bool,Pa,Xa)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f171(X_a,X_1,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f170(X_a,X_1,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f171(X_a,X_1,Xs_1)))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f173(X_a,X_1,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f172(X_a,X_1,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f172(X_a,X_1,Xs_1)))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f175(X_a,X_1,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),$f174(X_a,X_1,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f178(X_a,Pa,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f177(X_a,Pa,Xs_1)),$f176(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(X_a,bool,Pa,$f177(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f176(X_a,Pa,Xs_1))))| -hBOOL(hAPP(X_a,bool,Pa,Xa)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f179(X_a,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X3),Zs))| -hBOOL(hAPP(X_a,bool,Pa,X3))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f180(X_a,Pa,Xs_1,Ys_2,X3,Zs)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Zs))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f179(X_a,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X3),Zs))| -hBOOL(hAPP(X_a,bool,Pa,X3))|hBOOL(hAPP(X_a,bool,Pa,$f180(X_a,Pa,Xs_1,Ys_2,X3,Zs))).
% 61.39/61.07 0 [] hBOOL(hAPP(X_a,bool,Pa,$f179(X_a,Pa,Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X3),Zs))| -hBOOL(hAPP(X_a,bool,Pa,X3))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f180(X_a,Pa,Xs_1,Ys_2,X3,Zs)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Zs))).
% 61.39/61.07 0 [] hBOOL(hAPP(X_a,bool,Pa,$f179(X_a,Pa,Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X3),Zs))| -hBOOL(hAPP(X_a,bool,Pa,X3))|hBOOL(hAPP(X_a,bool,Pa,$f180(X_a,Pa,Xs_1,Ys_2,X3,Zs))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f183(X_a,Pa,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f182(X_a,Pa,Xs_1)),$f181(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(X_a,bool,Pa,$f182(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f183(X_a,Pa,Xs_1))))| -hBOOL(hAPP(X_a,bool,Pa,Xa)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f184(X_a,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X4),Zs))| -hBOOL(hAPP(X_a,bool,Pa,X4))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f185(X_a,Pa,Xs_1,Ys_2,X4)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys_2))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f184(X_a,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X4),Zs))| -hBOOL(hAPP(X_a,bool,Pa,X4))|hBOOL(hAPP(X_a,bool,Pa,$f185(X_a,Pa,Xs_1,Ys_2,X4))).
% 61.39/61.07 0 [] hBOOL(hAPP(X_a,bool,Pa,$f184(X_a,Pa,Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X4),Zs))| -hBOOL(hAPP(X_a,bool,Pa,X4))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f185(X_a,Pa,Xs_1,Ys_2,X4)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys_2))).
% 61.39/61.07 0 [] hBOOL(hAPP(X_a,bool,Pa,$f184(X_a,Pa,Xs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X4),Zs))| -hBOOL(hAPP(X_a,bool,Pa,X4))|hBOOL(hAPP(X_a,bool,Pa,$f185(X_a,Pa,Xs_1,Ys_2,X4))).
% 61.39/61.07 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),I_1),V)=hAPP(nat,list(X_a),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(list(X_a),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),nat_case(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),V),Xs_1)),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(fun(list(X_a),list(X_a)),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),combb(list(X_a),list(X_a),nat),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1)),hAPP(X_a,fun(nat,list(X_a)),hAPP(fun(nat,fun(X_a,list(X_a))),fun(X_a,fun(nat,list(X_a))),combc(nat,X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1)),V))),I_1).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(nat,list(X_a),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(list(X_a),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),nat_case(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_a),fun(nat,list(X_a)),hAPP(fun(nat,fun(list(X_a),list(X_a))),fun(list(X_a),fun(nat,list(X_a))),combc(nat,list(X_a),list(X_a)),drop(X_a)),Xs_1)),N_2).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa_1),Xb)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Za),Zb))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))|hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa_1),Xb)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Za),Zb)|hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa_1),Xb)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f187(X_a,X_b,Xa_1,Xb,Za,Zb,R_1)),$f186(X_a,X_b,Xa_1,Xb,Za,Zb,R_1)))),R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa_1),Xb)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Za),Zb))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))|hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Xa_1),Xb)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Za),Zb)|hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f187(X_a,X_b,Xa_1,Xb,Za,Zb,R_1)),$f186(X_a,X_b,Xa_1,Xb,Za,Zb,R_1))),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Za),Zb))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By))|hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f191(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f190(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1))),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f189(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f188(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)))),R_1))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By))|hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f189(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f188(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1))),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,$f189(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f188(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,$f191(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f190(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay))|hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f195(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f194(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay))|hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f195(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f194(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1))),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f193(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f192(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)))),R_1))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,$f195(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f194(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Ax),Ay)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Bx),By))),hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),transitive_rtrancl(product_prod(X_a,X_b)),R_1)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Ax),Ay))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,$f193(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)),$f192(X_a,X_b,Pa,Ax,Ay,Bx,By,R_1)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Bx),By)).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))=hAPP(nat,list(X_a),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(list(X_a),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),nat_case(list(X_a)),nil(X_a)),hAPP(fun(nat,list(X_a)),fun(nat,list(X_a)),hAPP(fun(list(X_a),list(X_a)),fun(fun(nat,list(X_a)),fun(nat,list(X_a))),combb(list(X_a),list(X_a),nat),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1)),hAPP(list(X_a),fun(nat,list(X_a)),hAPP(fun(nat,fun(list(X_a),list(X_a))),fun(list(X_a),fun(nat,list(X_a))),combc(nat,list(X_a),list(X_a)),take(X_a)),Xs_1))),N_2).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A1)=ti(X_a,$f196(X_a,A1,A2,R_1))|ti(X_a,A1)=ti(X_a,$f199(X_a,A1,A2,R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A1)=ti(X_a,$f196(X_a,A1,A2,R_1))|ti(X_a,A2)=ti(X_a,$f197(X_a,A1,A2,R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A1)=ti(X_a,$f196(X_a,A1,A2,R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f199(X_a,A1,A2,R_1)),$f198(X_a,A1,A2,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A1)=ti(X_a,$f196(X_a,A1,A2,R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f198(X_a,A1,A2,R_1)),$f197(X_a,A1,A2,R_1))),R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A2)=ti(X_a,$f196(X_a,A1,A2,R_1))|ti(X_a,A1)=ti(X_a,$f199(X_a,A1,A2,R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A2)=ti(X_a,$f196(X_a,A1,A2,R_1))|ti(X_a,A2)=ti(X_a,$f197(X_a,A1,A2,R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A2)=ti(X_a,$f196(X_a,A1,A2,R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f199(X_a,A1,A2,R_1)),$f198(X_a,A1,A2,R_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A2)=ti(X_a,$f196(X_a,A1,A2,R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f198(X_a,A1,A2,R_1)),$f197(X_a,A1,A2,R_1))),R_1)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A1)!=ti(X_a,A_5)|ti(X_a,A2)!=ti(X_a,A_5).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),A1),A2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|ti(X_a,A1)!=ti(X_a,X5)|ti(X_a,A2)!=ti(X_a,C_2)| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X5),B_2)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),B_2),C_2)),R_1)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f202(X_a,Pa,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f201(X_a,Pa,Xs_1)),$f200(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(X_a,bool,Pa,$f201(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f202(X_a,Pa,Xs_1))))| -hBOOL(hAPP(X_a,bool,Pa,Xa)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f205(X_a,Pa,Xs_1)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f204(X_a,Pa,Xs_1)),$f203(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(X_a,bool,Pa,$f204(X_a,Pa,Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,X_2))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f203(X_a,Pa,Xs_1))))| -hBOOL(hAPP(X_a,bool,Pa,Xa)).
% 61.39/61.07 0 [] -preorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),X)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2))|ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1))),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),S))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),S))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),S))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),S))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_4),A_2))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(fun(X_a,X_b),bool),fun(fun(fun(X_a,X_b),bool),bool),ord_less_e_q(fun(fun(X_a,X_b),bool)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_4),B_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),R_2)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),S_2)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),R_2),S_2)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),R_2)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),S_2)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),R_2),S_2)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),Pa),Q_1))| -hBOOL(hAPP(X_a,bool,Pa,X_1))|hBOOL(hAPP(X_a,bool,Q_1,X_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(X_a,bool,Pa,X_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),Pa),Q_1))|hBOOL(hAPP(X_a,bool,Q_1,X_1)).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X)).
% 61.39/61.07 0 [] -ord(X_b)| -hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,X_1)),hAPP(X_a,X_b,G,X_1))).
% 61.39/61.07 0 [] ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1)).
% 61.39/61.07 0 [] ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2)).
% 61.39/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Z_1),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Z_1),X)).
% 61.39/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))|ti(X_a,X)=ti(X_a,Y).
% 61.39/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Z_1)).
% 61.39/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))|ti(X_a,X)=ti(X_a,Y).
% 61.39/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),A_1))|ti(X_a,B)!=ti(X_a,C)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),A_1)).
% 61.39/61.07 0 [] -ord(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))|ti(X_a,B)!=ti(X_a,C)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),C)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),C_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),C_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),B_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),B_1)).
% 61.39/61.07 0 [] -order(X_a)|ti(X_a,A_1)!=ti(X_a,B)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),A_1)).
% 61.39/61.07 0 [] -ord(X_a)|ti(X_a,A_1)!=ti(X_a,B)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),C))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),C)).
% 61.39/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.39/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),B_1)).
% 61.39/61.07 0 [] -ord(X_b)| -hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,X_1)),hAPP(X_a,X_b,G,X_1))).
% 61.39/61.07 0 [] -preorder(X_a)|X!=Y|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y)).
% 61.39/61.07 0 [] ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2)).
% 61.39/61.07 0 [] ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1)).
% 61.39/61.07 0 [] -order(X_a)|ti(X_a,X_1)!=ti(X_a,Y_1)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1)).
% 61.39/61.07 0 [] -order(X_a)|ti(X_a,X_1)!=ti(X_a,Y_1)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1)).
% 61.39/61.07 0 [] -order(X_a)|ti(X_a,X_1)=ti(X_a,Y_1)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1)).
% 61.39/61.07 0 [] ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1)).
% 61.39/61.07 0 [] ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2)).
% 61.39/61.07 0 [] ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1)| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),A_2)).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X)).
% 61.39/61.07 0 [] -ord(X_b)| -hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,X_2)),hAPP(X_a,X_b,G,X_2))).
% 61.39/61.07 0 [] -ord(X_b)|hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,$f206(X_a,X_b,F,G))),hAPP(X_a,X_b,G,$f206(X_a,X_b,F,G)))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),A_2)).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),nil(X_a))=nil(X_a).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs))).
% 61.39/61.07 0 [] -top(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),top_top(X_a))).
% 61.39/61.07 0 [] -top(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),top_top(X_a)),Aa))|ti(X_a,Aa)=top_top(X_a).
% 61.39/61.07 0 [] -top(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),top_top(X_a)),Aa))|ti(X_a,Aa)!=top_top(X_a).
% 61.39/61.07 0 [] -top(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),top_top(X_a)),A_1))|ti(X_a,A_1)=top_top(X_a).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),top_top(fun(X_a,bool)))).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),S)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),S))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_2),S_2))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),S_2),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_2)))|hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),S_2)=hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_2).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),S))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),S))).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=Xs.
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))),Xs_1).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Zs_2)))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Zs_2)))).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Zs_1))))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1)).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Zs_1))))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Zs_1))).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Zs_1))))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_1),Zs_1))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1))),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)),A_2))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1))),A_2)).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=Zs_1|Xs_1=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),Zs_1).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)!=Zs_1|Ys=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),Zs_1).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)=Zs_1|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),Zs_1)|Ys!=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),Zs_1).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1)).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),X_2)).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f207(X_a,X_1,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),$f207(X_a,X_1,Xs_1))).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1)).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Ys)).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_2),Xa)).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Ys))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f209(X_a,Xs_1,Ys)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Ys))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f208(X_a,Xs_1,Ys)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Ys))).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Ys))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),$f209(X_a,Xs_1,Ys)),$f208(X_a,Xs_1,Ys))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),transitive_rtrancl(list(X_a)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Aa))|Aa=nil(X_a)|Aa=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f210(X_a,Aa)),$f211(X_a,Aa)).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Aa))|Aa=nil(X_a)| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Xa),hAPP(list(X_a),fun(X_a,bool),set(X_a),$f211(X_a,Aa))))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),$f210(X_a,Aa)),Xa)).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Aa))|Aa=nil(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),$f211(X_a,Aa))).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Aa))|Aa!=nil(X_a).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Aa))|Aa!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f212(X_a,Aa,Xs_2,X_2)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_2)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_2)).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Aa))|Aa!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_2),Xs_2)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_2),$f212(X_a,Aa,Xs_2,X_2)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_2)).
% 61.39/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f213(X_a,X_1,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))).
% 61.39/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),$f213(X_a,X_1,Xs_1)))| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f214(X_a,B_1,A_2)),A_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f214(X_a,B_1,A_2)),B_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f215(X_b,X_a,B_1,C_1,A_2)),A_2))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(fun(X_a,X_b),bool),fun(fun(fun(X_a,X_b),bool),bool),ord_less_e_q(fun(fun(X_a,X_b),bool)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),C_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_e_q(fun(X_b,bool)),hAPP(X_a,fun(X_b,bool),B_1,$f215(X_b,X_a,B_1,C_1,A_2))),hAPP(X_a,fun(X_b,bool),C_1,$f215(X_b,X_a,B_1,C_1,A_2))))|hBOOL(hAPP(fun(fun(X_a,X_b),bool),bool,hAPP(fun(fun(X_a,X_b),bool),fun(fun(fun(X_a,X_b),bool),bool),ord_less_e_q(fun(fun(X_a,X_b),bool)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),B_1)),hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool),hAPP(fun(X_a,bool),fun(fun(X_a,fun(X_b,bool)),fun(fun(X_a,X_b),bool)),pi(X_a,X_b),A_2),C_1))).
% 61.39/61.07 0 [] -ord(X_b)| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,$f216(X_a,X_b,F,G))),hAPP(X_a,X_b,G,$f216(X_a,X_b,F,G))))|hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_a,X_a),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_a),bool)),R_1),R_3))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),top_top(fun(X_a,bool))),R_3))|hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),ord_less_e_q(fun(product_prod(list(X_a),list(X_a)),bool)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_3))).
% 61.39/61.07 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)))|Xs!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Ys_1).
% 61.39/61.07 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)=Xs.
% 61.39/61.07 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),I_2))|hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)=Xs.
% 61.39/61.07 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.39/61.07 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool))),combc(X_a,fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),hAPP(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),hAPP(fun(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)))),combb(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),X_a),combc(X_b,fun(product_prod(X_a,X_b),bool),bool)),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),hAPP(fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)))),combb(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),combb(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),X_b),member(product_prod(X_a,X_b)))),product_Pair(X_a,X_b)))),R_2)),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool))),combc(X_a,fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),hAPP(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),hAPP(fun(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)))),combb(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),X_a),combc(X_b,fun(product_prod(X_a,X_b),bool),bool)),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),hAPP(fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)))),combb(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),combb(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),X_b),member(product_prod(X_a,X_b)))),product_Pair(X_a,X_b)))),S_2)))|hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(fun(product_prod(X_a,X_b),bool),fun(fun(product_prod(X_a,X_b),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_b),bool)),R_2),S_2)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool))),combc(X_a,fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),hAPP(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),hAPP(fun(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)))),combb(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),X_a),combc(X_b,fun(product_prod(X_a,X_b),bool),bool)),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),hAPP(fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)))),combb(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),combb(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),X_b),member(product_prod(X_a,X_b)))),product_Pair(X_a,X_b)))),R_2)),hAPP(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(product_prod(X_a,X_b),bool),fun(X_a,fun(X_b,bool))),combc(X_a,fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),hAPP(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),hAPP(fun(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool))),fun(fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)))),combb(fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(product_prod(X_a,X_b),bool),fun(X_b,bool)),X_a),combc(X_b,fun(product_prod(X_a,X_b),bool),bool)),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),hAPP(fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),fun(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_a,fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)))),combb(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool)),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(fun(product_prod(X_a,X_b),bool),bool))),combb(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),X_b),member(product_prod(X_a,X_b)))),product_Pair(X_a,X_b)))),S_2)))| -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(fun(product_prod(X_a,X_b),bool),fun(fun(product_prod(X_a,X_b),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_b),bool)),R_2),S_2)).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),top_top(fun(X_a,bool))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.39/61.07 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),M_2),Xs_1))),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1)))).
% 61.39/61.07 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),M_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),M_2),Xs_1))),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1)))).
% 61.39/61.07 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)=nil(X_a).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1)!=nil(X_a)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),N_2)).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),Xs_1)=nil(X_a)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),N_2)).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1_1),Xs_2_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1_1),Ys_2_1)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)))|Xs_1_1=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),Ys_1_1).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1_1),Xs_2_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1_1),Ys_2_1)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)))|Xs_2_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),Ys_1_1)),Ys_2_1).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1_1),Xs_2_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1_1),Ys_2_1)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)),Xs_1_1)=Ys_1_1.
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1_1),Xs_2_1)!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1_1),Ys_2_1)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)))|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)),Xs_1_1)),Xs_2_1)=Ys_2_1.
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1_1),Xs_2_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1_1),Ys_2_1)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)),Xs_1_1)!=Ys_1_1|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)),Xs_1_1)),Xs_2_1)!=Ys_2_1.
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1_1),Xs_2_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1_1),Ys_2_1)|Xs_1_1!=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),Ys_1_1)|Xs_2_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),Ys_1_1)),Ys_2_1)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1))).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1_1),Xs_2_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Ys_1_1),Ys_2_1)|Xs_1_1!=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),Ys_1_1)|Xs_2_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1_1)),Ys_1_1)),Ys_2_1)|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)),Xs_1_1)!=Ys_1_1|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1_1)),Xs_1_1)),Xs_2_1)!=Ys_2_1.
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,fun(X_a,bool)),bool,reflp(X_a),R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),top_top(fun(X_a,bool))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),collect(product_prod(X_a,X_a)),hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),R_1)))).
% 61.39/61.07 0 [] hBOOL(hAPP(fun(X_a,fun(X_a,bool)),bool,reflp(X_a),R_1))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),top_top(fun(X_a,bool))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),collect(product_prod(X_a,X_a)),hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),R_1)))).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Aa),A_2))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Aa)),R_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),A_2)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Y_1),A_2)).
% 61.39/61.07 0 [] Xs=nil(X_a)|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,N)),Xs)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(list(X_a),X_a,hd(X_a),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs))).
% 61.39/61.07 0 [] -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))| -hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),Pa),Q_1))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Q_1,X_1),Y_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),Pa),Q_1))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Q_1,X_1),Y_1)).
% 61.39/61.07 0 [] -hBOOL(hAPP(fun(X_a,fun(X_a,bool)),bool,reflp(X_a),R_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,X_1),X_1)).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,N)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)).
% 61.39/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,N)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs).
% 61.46/61.07 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),hAPP(nat,nat,suc,I_2)),Y)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),Y)).
% 61.46/61.07 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,suc,N)),X)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)).
% 61.46/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs))=hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,N)),Xs)).
% 61.46/61.07 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,N)),Xs)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),tl(X_a),Xs)).
% 61.46/61.07 0 [] hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,$f218(X_b,X_a,Q_1,Pa)),$f217(X_b,X_a,Q_1,Pa)))|hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),Pa),Q_1)).
% 61.46/61.07 0 [] -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Q_1,$f218(X_b,X_a,Q_1,Pa)),$f217(X_b,X_a,Q_1,Pa)))|hBOOL(hAPP(fun(X_a,fun(X_b,bool)),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(fun(X_a,fun(X_b,bool)),bool),ord_less_e_q(fun(X_a,fun(X_b,bool))),Pa),Q_1)).
% 61.46/61.07 0 [] hAPP(nat,nat,suc,N_2)!=hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f220(X_a,N_2,Xs_1)),$f219(X_a,N_2,Xs_1)).
% 61.46/61.07 0 [] hAPP(nat,nat,suc,N_2)!=hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)|hAPP(list(X_a),nat,size_size(list(X_a)),$f219(X_a,N_2,Xs_1))=N_2.
% 61.46/61.07 0 [] hAPP(nat,nat,suc,N_2)=hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)|hAPP(list(X_a),nat,size_size(list(X_a)),Ys_2)!=N_2.
% 61.46/61.07 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(nat,nat,suc,N_2)|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f222(X_a,Xs_1,N_2)),$f221(X_a,Xs_1,N_2)).
% 61.46/61.07 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(nat,nat,suc,N_2)|hAPP(list(X_a),nat,size_size(list(X_a)),$f221(X_a,Xs_1,N_2))=N_2.
% 61.46/61.07 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(nat,nat,suc,N_2)|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y_2),Ys_2)|hAPP(list(X_a),nat,size_size(list(X_a)),Ys_2)!=N_2.
% 61.46/61.07 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))),nil(X_a)))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,N)),Xs).
% 61.46/61.07 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),Y)).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.46/61.07 0 [] -order(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1)).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -preorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.46/61.07 0 [] -order(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1)).
% 61.46/61.07 0 [] -order(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X)).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y)).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.46/61.07 0 [] -order(X_a)|ti(X_a,A_1)=ti(X_a,B)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)).
% 61.46/61.07 0 [] -order(X_a)|ti(X_a,A_1)=ti(X_a,B)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),A_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1)).
% 61.46/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y)).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y)).
% 61.46/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.46/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|ti(X_a,X)=ti(X_a,Y).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))|ti(X_a,A_1)=ti(X_a,B)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),A_1))|ti(X_a,A_1)=ti(X_a,B)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1)).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z_1)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Z_1),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),X)).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),Z_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z_1)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),X)).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),X)).
% 61.46/61.07 0 [] -linorder(X_a)|ti(X_a,X_1)=ti(X_a,Y_1)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -linorder(X_a)|ti(X_a,X_1)!=ti(X_a,Y_1)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1)).
% 61.46/61.07 0 [] -linorder(X_a)|ti(X_a,X_1)!=ti(X_a,Y_1)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.46/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1)).
% 61.46/61.07 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|ti(X_a,X)=ti(X_a,Y)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.46/61.07 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.46/61.07 0 [] -linorder(X_a)|ti(X_a,X)=ti(X_a,Y)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|ti(X_a,X)!=ti(X_a,Y).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|ti(X_a,X)!=ti(X_a,Y).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|ti(X_a,Y)!=ti(X_a,X).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),X_1))|hBOOL(Pa).
% 61.46/61.07 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)).
% 61.46/61.07 0 [] -ord(X_a)|ti(X_a,A_1)!=ti(X_a,B)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),C)).
% 61.46/61.07 0 [] -order(X_a)|ti(X_a,A_1)!=ti(X_a,B)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),A_1)).
% 61.46/61.07 0 [] -ord(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))|ti(X_a,B)!=ti(X_a,C)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),C)).
% 61.46/61.07 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))|ti(X_a,B)!=ti(X_a,C)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),A_1)).
% 61.46/61.08 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),Z_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z_1)).
% 61.46/61.08 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_1),X)).
% 61.46/61.08 0 [] -preorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|ti(X_a,X)=ti(X_a,Y)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)).
% 61.46/61.08 0 [] -top(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),top_top(X_a)),A_1)).
% 61.46/61.08 0 [] -top(X_a)|ti(X_a,Aa)=top_top(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),top_top(X_a))).
% 61.46/61.08 0 [] -top(X_a)|ti(X_a,Aa)!=top_top(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),top_top(X_a))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),N_2),X_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),I_2),X)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),Ys_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(list(X_a),X_a,last(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(list(X_a),X_a,last(X_a),Xs).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),A_1)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_1),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,I_2)),Xs))).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,suc,N))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N))).
% 61.46/61.08 0 [] hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lenlex(X_a),R_1)=hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(product_prod(list(X_a),list(X_a)),bool),collect(product_prod(list(X_a),list(X_a))),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(product_prod(list(X_a),list(X_a)),bool),product_prod_case(list(X_a),list(X_a),bool),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),bool))),combs(list(X_a),fun(list(X_a),bool),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(list(X_a),fun(bool,bool))),fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool))),hAPP(fun(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),fun(bool,bool))),fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool)))),combb(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool)),list(X_a)),combs(list(X_a),bool,bool)),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),fun(bool,bool))),hAPP(fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),fun(bool,bool)))),combb(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool)),list(X_a)),hAPP(fun(bool,fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),combb(bool,fun(bool,bool),list(X_a)),fdisj)),hAPP(fun(list(X_a),nat),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool))),fun(fun(list(X_a),nat),fun(list(X_a),fun(list(X_a),bool))),combc(list(X_a),fun(list(X_a),nat),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(nat,bool)),fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool))),hAPP(fun(fun(nat,bool),fun(fun(list(X_a),nat),fun(list(X_a),bool))),fun(fun(list(X_a),fun(nat,bool)),fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool)))),combb(fun(nat,bool),fun(fun(list(X_a),nat),fun(list(X_a),bool)),list(X_a)),combb(nat,bool,list(X_a))),hAPP(fun(list(X_a),nat),fun(list(X_a),fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(list(X_a),nat),fun(list(X_a),fun(nat,bool))),combb(nat,fun(nat,bool),list(X_a)),ord_less(nat)),size_size(list(X_a))))),size_size(list(X_a)))))),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),bool))),combs(list(X_a),fun(list(X_a),bool),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(list(X_a),fun(bool,bool))),fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool))),hAPP(fun(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),fun(bool,bool))),fun(list(X_a),fun(fun(list(X_a),bool),fun(list(X_a),bool)))),combb(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool)),list(X_a)),combs(list(X_a),bool,bool)),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),fun(bool,bool))),hAPP(fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(list(X_a),fun(bool,bool)))),combb(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool)),list(X_a)),hAPP(fun(bool,fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),combb(bool,fun(bool,bool),list(X_a)),fconj)),hAPP(fun(list(X_a),nat),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool))),fun(fun(list(X_a),nat),fun(list(X_a),fun(list(X_a),bool))),combc(list(X_a),fun(list(X_a),nat),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(nat,bool)),fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool))),hAPP(fun(fun(nat,bool),fun(fun(list(X_a),nat),fun(list(X_a),bool))),fun(fun(list(X_a),fun(nat,bool)),fun(list(X_a),fun(fun(list(X_a),nat),fun(list(X_a),bool)))),combb(fun(nat,bool),fun(fun(list(X_a),nat),fun(list(X_a),bool)),list(X_a)),combb(nat,bool,list(X_a))),hAPP(fun(list(X_a),nat),fun(list(X_a),fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(list(X_a),nat),fun(list(X_a),fun(nat,bool))),combb(nat,fun(nat,bool),list(X_a)),fe_qual(nat)),size_size(list(X_a))))),size_size(list(X_a)))))),hAPP(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool))),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),fun(list(X_a),bool))),combc(list(X_a),fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool)),hAPP(fun(list(X_a),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool))),hAPP(fun(fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool)))),combb(fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)),fun(fun(product_prod(list(X_a),list(X_a)),bool),fun(list(X_a),bool)),list(X_a)),combc(list(X_a),fun(product_prod(list(X_a),list(X_a)),bool),bool)),hAPP(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),hAPP(fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),fun(fun(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a)))),fun(list(X_a),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)))),combb(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)),list(X_a)),hAPP(fun(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool)),fun(fun(list(X_a),product_prod(list(X_a),list(X_a))),fun(list(X_a),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool))),combb(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),list(X_a)),member(product_prod(list(X_a),list(X_a))))),product_Pair(list(X_a),list(X_a))))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lex(X_a),R_1)))))).
% 61.46/61.08 0 [] hAPP(nat,fun(nat,bool),ord_less(nat),X_2)=hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,X_2)).
% 61.46/61.08 0 [] -ord(X_b)| -hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less(fun(X_a,X_b)),F),G))|hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G)).
% 61.46/61.08 0 [] -ord(X_b)| -hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less(fun(X_a,X_b)),F),G))| -hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),G),F)).
% 61.46/61.08 0 [] -ord(X_b)|hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less(fun(X_a,X_b)),F),G))| -hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),F),G))|hBOOL(hAPP(fun(X_a,X_b),bool,hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),bool),ord_less_e_q(fun(X_a,X_b)),G),F)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))|ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))|ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))|ti(fun(X_a,bool),A_2)=ti(fun(X_a,bool),B_1).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1)).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))|ti(fun(X_a,bool),A_2)!=ti(fun(X_a,bool),B_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),C_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),C_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),B_1),C_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),C_1)).
% 61.46/61.08 0 [] N!=hAPP(nat,nat,suc,N).
% 61.46/61.08 0 [] hAPP(nat,nat,suc,N)!=N.
% 61.46/61.08 0 [] hAPP(nat,nat,suc,Nat_4)!=hAPP(nat,nat,suc,Nat_5)|Nat_4=Nat_5.
% 61.46/61.08 0 [] hAPP(nat,nat,suc,Nat_4)=hAPP(nat,nat,suc,Nat_5)|Nat_4!=Nat_5.
% 61.46/61.08 0 [] hAPP(nat,nat,suc,X)!=hAPP(nat,nat,suc,Y)|X=Y.
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),N)).
% 61.46/61.08 0 [] M_2=N_2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2)).
% 61.46/61.08 0 [] M_2!=N_2| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] M_2!=N_2| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2)).
% 61.46/61.08 0 [] X=Y|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Y),X)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),M))|M!=N.
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),S_1),T_3))|S_1!=T_3.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|M_2=N_2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,N_2),M_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),N)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M)).
% 61.46/61.08 0 [] M!=N|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J),K))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),K)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))|M=N.
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|M=N.
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),K))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I_2)),K)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|hAPP(nat,nat,suc,M)=N|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N))).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),M))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,suc,M)))|M=N.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2)))|N_2=M_2.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2)))|N_2!=M_2.
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M_2)),hAPP(nat,nat,suc,N_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M_2)),hAPP(nat,nat,suc,N_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|M_2=N_2.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))|M_2!=N_2.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N)),N)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),M_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),M_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),hAPP(nat,nat,suc,N_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|M_2=hAPP(nat,nat,suc,N_2).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),hAPP(nat,nat,suc,N_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),hAPP(nat,nat,suc,N_2)))|M_2!=hAPP(nat,nat,suc,N_2).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),hAPP(nat,nat,suc,M_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),M_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),hAPP(nat,nat,suc,M_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),M_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),hAPP(nat,nat,suc,N))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),hAPP(nat,nat,suc,N)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|M=hAPP(nat,nat,suc,N).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M)),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N)).
% 61.46/61.08 0 [] M!=N|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|M=N|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|M_2=N_2.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|M_2!=N_2.
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|M_2!=N_2.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|M_2=N_2.
% 61.46/61.08 0 [] hAPP(nat,X_a,hAPP(fun(nat,X_a),fun(nat,X_a),hAPP(X_a,fun(fun(nat,X_a),fun(nat,X_a)),nat_case(X_a),F1),F2),hAPP(nat,nat,suc,Nat_4))=hAPP(nat,X_a,F2,Nat_4).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),M_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N_2)),M_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M_2)),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M_2)),N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,N))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M)),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2)))|N_2=M_2.
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,M_2)))|N_2!=M_2.
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M)),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))| -hBOOL(hAPP(nat,bool,Pa,J_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f223(Pa,I_1,J_2)),J_2))|hBOOL(hAPP(nat,bool,Pa,I_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))| -hBOOL(hAPP(nat,bool,Pa,J_2))|hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,$f223(Pa,I_1,J_2))))|hBOOL(hAPP(nat,bool,Pa,I_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))| -hBOOL(hAPP(nat,bool,Pa,J_2))| -hBOOL(hAPP(nat,bool,Pa,$f223(Pa,I_1,J_2)))|hBOOL(hAPP(nat,bool,Pa,I_1)).
% 61.46/61.08 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,F,$f224(X_a,N_2,N_3,F))),hAPP(nat,X_a,F,hAPP(nat,nat,suc,$f224(X_a,N_2,N_3,F)))))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),N_3))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,F,N_2)),hAPP(nat,X_a,F,N_3))).
% 61.46/61.08 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,$f225(X_a,N_2,N_3,F))),hAPP(nat,X_a,F,hAPP(nat,nat,suc,$f225(X_a,N_2,N_3,F)))))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),N_3))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,N_2)),hAPP(nat,X_a,F,N_3))).
% 61.46/61.08 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,$f226(X_a,N_2,M_2,F))),hAPP(nat,X_a,F,hAPP(nat,nat,suc,$f226(X_a,N_2,M_2,F)))))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,N_2)),hAPP(nat,X_a,F,M_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2)).
% 61.46/61.08 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,$f226(X_a,N_2,M_2,F))),hAPP(nat,X_a,F,hAPP(nat,nat,suc,$f226(X_a,N_2,M_2,F)))))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,F,N_2)),hAPP(nat,X_a,F,M_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),M_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),B_1),C_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),C_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M_2)),N_2))|hBOOL(hAPP(nat,bool,hAPP(fun(nat,bool),fun(nat,bool),hAPP(bool,fun(fun(nat,bool),fun(nat,bool)),nat_case(bool),fFalse),hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2)),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,M_2)),N_2))| -hBOOL(hAPP(nat,bool,hAPP(fun(nat,bool),fun(nat,bool),hAPP(bool,fun(fun(nat,bool),fun(nat,bool)),nat_case(bool),fFalse),hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2)),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f228(X_a,X_b,S,R_1)),$f227(X_a,X_b,S,R_1))),R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(fun(product_prod(X_a,X_b),bool),fun(fun(product_prod(X_a,X_b),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_b),bool)),R_1),S)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),$f228(X_a,X_b,S,R_1)),$f227(X_a,X_b,S,R_1))),S))|hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(fun(product_prod(X_a,X_b),bool),fun(fun(product_prod(X_a,X_b),bool),bool),ord_less_e_q(fun(product_prod(X_a,X_b),bool)),R_1),S)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f230(I_1,J_2,F)),$f229(I_1,J_2,F)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,F,I_1)),hAPP(nat,nat,F,J_2))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,F,$f230(I_1,J_2,F))),hAPP(nat,nat,F,$f229(I_1,J_2,F))))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,F,I_1)),hAPP(nat,nat,F,J_2))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,suc,N)),M_3))|M_3=hAPP(nat,nat,suc,$f231(N,M_3)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),K))|K=hAPP(nat,nat,suc,I_2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),$f232(I_2,K))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),K))|K=hAPP(nat,nat,suc,I_2)|K=hAPP(nat,nat,suc,$f232(I_2,K)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I_2)),K))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),$f233(I_2,K))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I_2)),K))|K=hAPP(nat,nat,suc,$f233(I_2,K)).
% 61.46/61.08 0 [] -dense_linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),$f234(X_a,Z_1,Y)),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1)).
% 61.46/61.08 0 [] -dense_linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),$f234(X_a,Z_1,Y)),Z_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1)).
% 61.46/61.08 0 [] -dense_linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),$f235(X_a,Z_1,X,Y)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1)).
% 61.46/61.08 0 [] -dense_linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),$f235(X_a,Z_1,X,Y)),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1)).
% 61.46/61.08 0 [] -dense_linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),$f235(X_a,Z_1,X,Y)),Z_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),Z_1)).
% 61.46/61.08 0 [] -order(X_a)| -ord(X_b)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_b,X_a,F,Ba)),Aa))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),Ba))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),$f236(X_b,X_a,Ca,F,Ba,Aa)),$f237(X_b,X_a,Ca,F,Ba,Aa)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ca)),Aa)).
% 61.46/61.08 0 [] -order(X_a)| -ord(X_b)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_b,X_a,F,Ba)),Aa))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),Ba))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,$f236(X_b,X_a,Ca,F,Ba,Aa))),hAPP(X_b,X_a,F,$f237(X_b,X_a,Ca,F,Ba,Aa))))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ca)),Aa)).
% 61.46/61.08 0 [] -order(X_a)| -order(X_b)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ba)),Aa))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ca),Ba))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),$f238(X_b,X_a,Ca,F,Ba,Aa)),$f239(X_b,X_a,Ca,F,Ba,Aa)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ca)),Aa)).
% 61.46/61.08 0 [] -order(X_a)| -order(X_b)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ba)),Aa))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ca),Ba))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_b,X_a,F,$f238(X_b,X_a,Ca,F,Ba,Aa))),hAPP(X_b,X_a,F,$f239(X_b,X_a,Ca,F,Ba,Aa))))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,Ca)),Aa)).
% 61.46/61.08 0 [] -order(X_b)| -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),hAPP(X_b,X_a,F,Ba)))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ba),Ca))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),$f241(X_a,X_b,Ca,Aa,F,Ba)),$f240(X_a,X_b,Ca,Aa,F,Ba)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ca))).
% 61.46/61.08 0 [] -order(X_b)| -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),hAPP(X_b,X_a,F,Ba)))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ba),Ca))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_b,X_a,F,$f241(X_a,X_b,Ca,Aa,F,Ba))),hAPP(X_b,X_a,F,$f240(X_a,X_b,Ca,Aa,F,Ba))))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ca))).
% 61.46/61.08 0 [] -order(X_a)| -order(X_b)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Ba),Aa))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ca),hAPP(X_a,X_b,F,Ba)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),$f242(X_b,X_a,Ca,F,Ba,Aa)),$f243(X_b,X_a,Ca,F,Ba,Aa)))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Aa))).
% 61.46/61.08 0 [] -order(X_a)| -order(X_b)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Ba),Aa))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ca),hAPP(X_a,X_b,F,Ba)))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,$f242(X_b,X_a,Ca,F,Ba,Aa))),hAPP(X_a,X_b,F,$f243(X_b,X_a,Ca,F,Ba,Aa))))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Aa))).
% 61.46/61.08 0 [] -order(X_a)| -order(X_b)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Ba),Aa))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Ba)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),$f244(X_b,X_a,Ca,F,Ba,Aa)),$f245(X_b,X_a,Ca,F,Ba,Aa)))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Aa))).
% 61.46/61.08 0 [] -order(X_a)| -order(X_b)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Ba),Aa))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Ba)))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,$f244(X_b,X_a,Ca,F,Ba,Aa))),hAPP(X_a,X_b,F,$f245(X_b,X_a,Ca,F,Ba,Aa))))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Ca),hAPP(X_a,X_b,F,Aa))).
% 61.46/61.08 0 [] -order(X_b)| -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,Ba)),Ca))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),$f247(X_a,X_b,F,Ca,Aa,Ba)),$f246(X_a,X_b,F,Ca,Aa,Ba)))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Aa)),Ca)).
% 61.46/61.08 0 [] -order(X_b)| -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,Ba)),Ca))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,$f247(X_a,X_b,F,Ca,Aa,Ba))),hAPP(X_a,X_b,F,$f246(X_a,X_b,F,Ca,Aa,Ba))))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Aa)),Ca)).
% 61.46/61.08 0 [] -order(X_b)| -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ba)))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ba),Ca))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),$f249(X_a,X_b,Ca,Aa,F,Ba)),$f248(X_a,X_b,Ca,Aa,F,Ba)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ca))).
% 61.46/61.08 0 [] -order(X_b)| -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ba)))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),Ba),Ca))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_b,X_a,F,$f249(X_a,X_b,Ca,Aa,F,Ba))),hAPP(X_b,X_a,F,$f248(X_a,X_b,Ca,Aa,F,Ba))))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),hAPP(X_b,X_a,F,Ca))).
% 61.46/61.08 0 [] -order(X_b)| -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Ba)),Ca))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),$f251(X_a,X_b,F,Ca,Aa,Ba)),$f250(X_a,X_b,F,Ca,Aa,Ba)))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Aa)),Ca)).
% 61.46/61.08 0 [] -order(X_b)| -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Ba)),Ca))| -hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_e_q(X_b),hAPP(X_a,X_b,F,$f251(X_a,X_b,F,Ca,Aa,Ba))),hAPP(X_a,X_b,F,$f250(X_a,X_b,F,Ca,Aa,Ba))))|hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_a,X_b,F,Aa)),Ca)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|Xs=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,I_2)),Xs))).
% 61.46/61.08 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2))=Xs.
% 61.46/61.08 0 [] I_2=J|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),J)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J).
% 61.46/61.08 0 [] hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),hAPP(nat,nat,suc,N))=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),N).
% 61.46/61.08 0 [] Xs_1!=Ys|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys).
% 61.46/61.08 0 [] Xs_1!=Ys| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys),I).
% 61.46/61.08 0 [] Xs_1=Ys|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f252(X_a,Xs_1,Ys)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.08 0 [] Xs_1=Ys|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f252(X_a,Xs_1,Ys))!=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys),$f252(X_a,Xs_1,Ys)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),N))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),I_2)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2).
% 61.46/61.08 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Ys_1)|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),N)=ti(X_a,Y).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),N))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),I_2)=ti(X_a,X).
% 61.46/61.08 0 [] hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),N_2)=hAPP(nat,X_a,hAPP(fun(nat,X_a),fun(nat,X_a),hAPP(X_a,fun(fun(nat,X_a),fun(nat,X_a)),nat_case(X_a),X_1),hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1)),N_2).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f253(X_a,Pa,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I))).
% 61.46/61.08 0 [] -hBOOL(hAPP(X_a,bool,Pa,$f253(X_a,Pa,Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f254(X_a,Pa,Xs_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,X_2))| -hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f254(X_a,Pa,Xs_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f255(X_a,X_1,Xs_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f255(X_a,X_1,Xs_1))=ti(X_a,X_1).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)!=ti(X_a,X_1).
% 61.46/61.08 0 [] hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Ys_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))=ti(X_a,X).
% 61.46/61.08 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I_1)!=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_2)|I_1=J_2.
% 61.46/61.08 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I_1)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_2)|I_1!=J_2.
% 61.46/61.08 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|I=J_1|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)!=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_1).
% 61.46/61.08 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f257(X_a,Xs_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.08 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f256(X_a,Xs_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.08 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))|$f257(X_a,Xs_1)!=$f256(X_a,Xs_1).
% 61.46/61.08 0 [] hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f257(X_a,Xs_1))=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f256(X_a,Xs_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|I_2!=J|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),J)=ti(X_a,X).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|I_2=J|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),J)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1)!=Xs_1|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I_1)=ti(X_a,X_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1)=Xs_1|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I_1)!=ti(X_a,X_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),I_2)=ti(X_a,X).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1))))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)),J_2)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_2).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J))).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I),J_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),J_1))).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f259(X_a,Xs_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),$f258(X_a,Xs_1)),$f259(X_a,Xs_1))).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f258(X_a,Xs_1))),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f259(X_a,Xs_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,suc,I_2)),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),Xs).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_1)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys),N_1))),R_1)).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f260(X_a,Xs_1,Ys,R_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f260(X_a,Xs_1,Ys,R_1))),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys),$f260(X_a,Xs_1,Ys,R_1)))),R_1)).
% 61.46/61.08 0 [] Xs=nil(X_a)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(list(X_a),X_a,hd(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),N).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),J)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,suc,I_2)),Xs)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),nil(X_a))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f261(X_a,Xs_1,Ys,R_1))),$f262(X_a,Xs_1,Ys,R_1))),R_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f261(X_a,Xs_1,Ys,R_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))|Ys=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),$f261(X_a,Xs_1,Ys,R_1)),$f262(X_a,Xs_1,Ys,R_1)).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel1(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_1)),Y_2)),R_1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|Ys!=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),N_1),Y_2).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),$f264(X_a,Xs)),$f263(X_a,Xs)))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f263(X_a,Xs)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),$f264(X_a,Xs))),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),$f263(X_a,Xs))))|hBOOL(hAPP(list(X_a),bool,linorder_sorted(X_a),Xs)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f265(X_a,Pa,Xs_1,N_2)),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f265(X_a,Pa,Xs_1,N_2)),N_2))|hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f265(X_a,Pa,Xs_1,N_2)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f265(X_a,Pa,Xs_1,N_2)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f265(X_a,Pa,Xs_1,N_2))))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f265(X_a,Pa,Xs_1,N_2))))|hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2)))|hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f266(X_a,Pa,Xs_1,J_2)),J_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f266(X_a,Pa,Xs_1,J_2))))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f267(X_a,Ys_1,K,Xs)),K))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),K),Xs)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),K),Ys_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),$f267(X_a,Ys_1,K,Xs))!=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys_1),$f267(X_a,Ys_1,K,Xs))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),K),Xs)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),K),Ys_1).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f268(X_a,X_1,Pa,Xs_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,X_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f268(X_a,X_1,Pa,Xs_1))))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,X_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f269(X_a,Pa,N_2,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))| -hBOOL(hAPP(X_a,bool,Pa,$f269(X_a,Pa,N_2,Xs_1)))|hBOOL(hAPP(X_a,bool,Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),N_2))).
% 61.46/61.08 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f270(X_a,Xs,Ys_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|Xs=Ys_1.
% 61.46/61.08 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),$f270(X_a,Xs,Ys_1))!=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys_1),$f270(X_a,Xs,Ys_1))|Xs=Ys_1.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f271(X_a,Pa,K_1)),K_1))|hAPP(list(X_a),nat,size_size(list(X_a)),$f272(X_a,Pa,K_1))=K_1.
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f271(X_a,Pa,K_1)),K_1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K_1))|hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,I),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),$f272(X_a,Pa,K_1)),I))).
% 61.46/61.08 0 [] -hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,$f271(X_a,Pa,K_1)),X1))|hAPP(list(X_a),nat,size_size(list(X_a)),$f272(X_a,Pa,K_1))=K_1.
% 61.46/61.08 0 [] -hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,$f271(X_a,Pa,K_1)),X1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K_1))|hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,I),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),$f272(X_a,Pa,K_1)),I))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X6),K_1))|hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,X6),$f273(X_a,Pa,K_1,X6)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_2)!=K_1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f274(X_a,Pa,K_1,Xs_2)),K_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X6),K_1))|hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,X6),$f273(X_a,Pa,K_1,X6)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_2)!=K_1| -hBOOL(hAPP(X_a,bool,hAPP(nat,fun(X_a,bool),Pa,$f274(X_a,Pa,K_1,Xs_2)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_2),$f274(X_a,Pa,K_1,Xs_2)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f275(X_a,X_1,Y_1,R_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),$f275(X_a,X_1,Y_1,R_1)),X_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),$f275(X_a,X_1,Y_1,R_1)),Y_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),X_1),$f275(X_a,X_1,Y_1,R_1))),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Y_1),$f275(X_a,X_1,Y_1,R_1)))),R_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),Y_1)=X_1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f275(X_a,X_1,Y_1,R_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),Y_1)=X_1|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),$f275(X_a,X_1,Y_1,R_1)),X_1)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),$f275(X_a,X_1,Y_1,R_1)),Y_1).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),Y_1)=X_1|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),X_1),$f275(X_a,X_1,Y_1,R_1))),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Y_1),$f275(X_a,X_1,Y_1,R_1)))),R_1)).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1)))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),Y_1)!=X_1.
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),lexord(X_a),R_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),X_1)),hAPP(list(X_a),nat,size_size(list(X_a)),Y_1))))|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I),X_1)!=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I),Y_1)| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),X_1),I)),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Y_1),I))),R_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),R_1,$f276(X_a,R_1)),$f276(X_a,R_1)))|hBOOL(hAPP(fun(X_a,fun(X_a,bool)),bool,reflp(X_a),R_1)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1))))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),dropWhile(X_a),Pa),Xs_1)),J_2)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J_2),hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(fun(X_a,bool),fun(list(X_a),list(X_a)),takeWhile(X_a),Pa),Xs_1)))).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),X_1)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),Y_1)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),X_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_2),Y_1)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)),Z_2))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Z_2))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),Z_2)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)),Z_2))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_1),Z_2)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)),Z_2))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y_1),Z_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Z_1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),K)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K),L))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),L)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),N)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K),L))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),L))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),J))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),M))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),I_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),I_2)).
% 61.46/61.08 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),M),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),Xs).
% 61.46/61.08 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),M),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),N),M)),Xs).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)),Z_2))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Z_2))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),Z_2)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)),Z_2))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Z_2)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)),Z_2))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y_1),Z_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),Y))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),Z_1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1))).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N))).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|N_2=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),$f277(M_2,N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2))|N_2!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_2).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),M))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),J))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),J))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),L))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),L))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),N)).
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,suc,N))=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)).
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,M)),N)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)).
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,M)),N)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,suc,N)).
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N))=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),M),N)).
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_1)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N_2),K_1)|M_2=N_2.
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N_2),K_1)|M_2!=N_2.
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)|M_2=N_2.
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N_2)|M_2!=N_2.
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),K)).
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X),Z_1)).
% 61.46/61.08 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M).
% 61.46/61.08 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|N_2=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),$f278(M_2,N_2))).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2))|N_2!=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),I_2)))).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),M)))).
% 61.46/61.08 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)).
% 61.46/61.08 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),K),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),I_2),K)),X).
% 61.46/61.08 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),X)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X)),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),M),X)).
% 61.46/61.08 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),M),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),M),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),Xs)).
% 61.46/61.08 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),splice(X_a),Xs),Ys_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)).
% 61.46/61.08 0 [] hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N))=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys_1),N).
% 61.46/61.08 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),Xs)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),J),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),Xs))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),I_2)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)),I_2)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),I_2)).
% 61.46/61.08 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f280(M_2,K_1,F)),$f279(M_2,K_1,F)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,F,M_2)),K_1)),hAPP(nat,nat,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,F,$f280(M_2,K_1,F))),hAPP(nat,nat,F,$f279(M_2,K_1,F))))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,F,M_2)),K_1)),hAPP(nat,nat,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),K_1)))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|N=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),$f281(M,N))).
% 61.46/61.08 0 [] -ordere223160158up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),D_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))).
% 61.46/61.08 0 [] -cancel_semigroup_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),A_1)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)|ti(X_a,B)=ti(X_a,C).
% 61.46/61.08 0 [] -cancel146912293up_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)|ti(X_a,B)=ti(X_a,C).
% 61.46/61.08 0 [] -cancel_semigroup_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)|ti(X_a,B)=ti(X_a,C).
% 61.46/61.08 0 [] -cancel_semigroup_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Aa)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)|ti(X_a,Ba)=ti(X_a,Ca).
% 61.46/61.08 0 [] -cancel_semigroup_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Aa)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)|ti(X_a,Ba)!=ti(X_a,Ca).
% 61.46/61.08 0 [] -cancel_semigroup_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ba)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)|ti(X_a,Ba)=ti(X_a,Ca).
% 61.46/61.08 0 [] -cancel_semigroup_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ba)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)|ti(X_a,Ba)!=ti(X_a,Ca).
% 61.46/61.08 0 [] -ab_semigroup_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Ca)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Ca)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Ba)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Ba)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba)).
% 61.46/61.08 0 [] -ordere779506340up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C))).
% 61.46/61.08 0 [] -ordere779506340up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B))).
% 61.46/61.08 0 [] -ordere779506340up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),C),D_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Ca)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Ca)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Ca)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Ba)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Aa)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ca),Ba)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba)).
% 61.46/61.08 0 [] -ordere223160158up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C))).
% 61.46/61.08 0 [] -ordere223160158up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B))).
% 61.46/61.08 0 [] -ordere223160158up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)).
% 61.46/61.08 0 [] -ordere236663937imp_le(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),Z_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),X),Z_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Y),Z_1)).
% 61.46/61.08 0 [] -ordere223160158up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),B))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1))).
% 61.46/61.08 0 [] -ord(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Least),$f282(X_a,X,Least)))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Least),X)=ti(X_a,Least).
% 61.46/61.08 0 [] -order(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Least),$f283(X_a,X,Least)))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Least)=ti(X_a,Least).
% 61.46/61.08 0 [] -ord(X_a)|ord_min(X_a)=hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(X_a,X_a)),min(X_a),ord_less_e_q(X_a)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,F,hAPP(nat,nat,suc,$f284(X_a,I_1,K_1,F,R_1)))),hAPP(nat,X_a,F,$f284(X_a,I_1,K_1,F,R_1)))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),hAPP(nat,X_a,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1))),hAPP(nat,X_a,F,I_1))),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),transitive_rtrancl(X_a),R_1))).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),X))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),X)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),X))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),X)).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),Z_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),Z_1)).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),B),C)).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),Z_1))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Z_1)).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),C))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),B),C)).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),X).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),B),A_1).
% 61.46/61.08 0 [] -linorder(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),A_1)=ti(X_a,A_1).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),X)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),Y)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)=ti(X_a,X_1).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X_1),Y_1)!=ti(X_a,X_1).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y_1),Z_2)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y_1),Z_2)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Z_2)).
% 61.46/61.08 0 [] -linorder(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y_1),Z_2)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Y_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X_1),Z_2)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),X))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),X)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),X))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),X)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)=ti(X_a,X).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Y),X))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)=ti(X_a,Y).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B))).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Z_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),Y),Z_1))).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),C))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),D_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),C),D_1))).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),A_1)).
% 61.46/61.08 0 [] -linorder(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),A_1),B)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),B)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3))),hAPP(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool)),lex_prod(X_a,X_b),R_1),S)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),A_3)),R_1))|ti(X_a,Aa)=ti(X_a,A_3).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3))),hAPP(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool)),lex_prod(X_a,X_b),R_1),S)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),A_3)),R_1))|hBOOL(hAPP(fun(product_prod(X_b,X_b),bool),bool,hAPP(product_prod(X_b,X_b),fun(fun(product_prod(X_b,X_b),bool),bool),member(product_prod(X_b,X_b)),hAPP(X_b,product_prod(X_b,X_b),hAPP(X_b,fun(X_b,product_prod(X_b,X_b)),product_Pair(X_b,X_b),Ba),B_3)),S)).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3))),hAPP(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool)),lex_prod(X_a,X_b),R_1),S)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),A_3)),R_1)).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool,hAPP(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),fun(fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),bool),member(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),hAPP(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b))),product_Pair(product_prod(X_a,X_b),product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),Aa),Ba)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),A_3),B_3))),hAPP(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(fun(product_prod(X_b,X_b),bool),fun(product_prod(product_prod(X_a,X_b),product_prod(X_a,X_b)),bool)),lex_prod(X_a,X_b),R_1),S)))|ti(X_a,Aa)!=ti(X_a,A_3)| -hBOOL(hAPP(fun(product_prod(X_b,X_b),bool),bool,hAPP(product_prod(X_b,X_b),fun(fun(product_prod(X_b,X_b),bool),bool),member(product_prod(X_b,X_b)),hAPP(X_b,product_prod(X_b,X_b),hAPP(X_b,fun(X_b,product_prod(X_b,X_b)),product_Pair(X_b,X_b),Ba),B_3)),S)).
% 61.46/61.08 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(X_a,nat),fun(product_prod(X_a,X_a),bool),measure(X_a),F)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(X_a,nat,F,X_1)),hAPP(X_a,nat,F,Y_1))).
% 61.46/61.08 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(X_a,nat),fun(product_prod(X_a,X_a),bool),measure(X_a),F)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(X_a,nat,F,X_1)),hAPP(X_a,nat,F,Y_1))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,F,hAPP(nat,nat,suc,$f285(F)))),hAPP(nat,nat,F,$f285(F))))|hAPP(nat,nat,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),$f286(F)),K_2))=hAPP(nat,nat,F,$f286(F)).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(X_a,nat,F,X_1)),hAPP(X_a,nat,F,Y_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),R_2))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),hAPP(fun(X_a,nat),fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool)),mlex_prod(X_a),F),R_2))).
% 61.46/61.08 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(X_a,nat,F,X_1)),hAPP(X_a,nat,F,Y_1)))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X_1),Y_1)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool),hAPP(fun(X_a,nat),fun(fun(product_prod(X_a,X_a),bool),fun(product_prod(X_a,X_a),bool)),mlex_prod(X_a),F),R_2))).
% 61.46/61.08 0 [] hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),L_1),L_2)),A_2)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),L_1),A_2)),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),L_2),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),hAPP(nat,fun(nat,nat),hAPP(fun(nat,fun(nat,nat)),fun(nat,fun(nat,nat)),combc(nat,nat,nat),plus_plus(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),L_1)))),A_2)))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3)))).
% 61.46/61.09 0 [] hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),nil(X_a)),A_2)=nil(X_a).
% 61.46/61.09 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs_1))|hBOOL(hAPP(list(X_a),bool,distinct(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3))).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3))),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.46/61.09 0 [] hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),L_1)),A_2)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),hAPP(bool,fun(list(X_a),fun(list(X_a),list(X_a))),if(list(X_a)),hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),A_2)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))),nil(X_a))),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),L_1),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),suc)),A_2)))).
% 61.46/61.09 0 [] hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),Xs_1),I_3))=hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,fun(nat,bool)),fun(X_a,bool),hAPP(fun(fun(nat,bool),bool),fun(fun(X_a,fun(nat,bool)),fun(X_a,bool)),combb(fun(nat,bool),bool,X_a),fEx(nat)),hAPP(fun(nat,bool),fun(X_a,fun(nat,bool)),hAPP(fun(X_a,fun(fun(nat,bool),fun(nat,bool))),fun(fun(nat,bool),fun(X_a,fun(nat,bool))),combc(X_a,fun(nat,bool),fun(nat,bool)),hAPP(fun(X_a,fun(nat,fun(bool,bool))),fun(X_a,fun(fun(nat,bool),fun(nat,bool))),hAPP(fun(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool))),fun(fun(X_a,fun(nat,fun(bool,bool))),fun(X_a,fun(fun(nat,bool),fun(nat,bool)))),combb(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),X_a),combs(nat,bool,bool)),hAPP(fun(X_a,fun(nat,bool)),fun(X_a,fun(nat,fun(bool,bool))),hAPP(fun(fun(nat,bool),fun(nat,fun(bool,bool))),fun(fun(X_a,fun(nat,bool)),fun(X_a,fun(nat,fun(bool,bool)))),combb(fun(nat,bool),fun(nat,fun(bool,bool)),X_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj)),hAPP(fun(nat,X_a),fun(X_a,fun(nat,bool)),hAPP(fun(X_a,fun(fun(nat,X_a),fun(nat,bool))),fun(fun(nat,X_a),fun(X_a,fun(nat,bool))),combc(X_a,fun(nat,X_a),fun(nat,bool)),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(fun(nat,X_a),fun(nat,bool))),hAPP(fun(fun(X_a,bool),fun(fun(nat,X_a),fun(nat,bool))),fun(fun(X_a,fun(X_a,bool)),fun(X_a,fun(fun(nat,X_a),fun(nat,bool)))),combb(fun(X_a,bool),fun(fun(nat,X_a),fun(nat,bool)),X_a),combb(X_a,bool,nat)),fe_qual(X_a))),hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1))))),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),I_3))))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),rev(X_a),Xs)),N)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(nat,nat,suc,N))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat))).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),zero_zero(nat)),N)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,suc,N))).
% 61.46/61.09 0 [] -minus(X_a)|hAPP(X_b,X_a,hAPP(fun(X_b,X_a),fun(X_b,X_a),hAPP(fun(X_b,X_a),fun(fun(X_b,X_a),fun(X_b,X_a)),minus_minus(fun(X_b,X_a)),A_2),B_1),X_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_b,X_a,A_2,X_1)),hAPP(X_b,X_a,B_1,X_1)).
% 61.46/61.09 0 [] -minus(X_b)|hAPP(X_a,X_b,hAPP(fun(X_a,X_b),fun(X_a,X_b),hAPP(fun(X_a,X_b),fun(fun(X_a,X_b),fun(X_a,X_b)),minus_minus(fun(X_a,X_b)),A_2),B_1),X_2)=hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),hAPP(X_a,X_b,A_2,X_2)),hAPP(X_a,X_b,B_1,X_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Aa),Ba))|hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))|Aa!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ba),D_3)|hBOOL(hAPP(nat,bool,Pa,D_3)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Aa),Ba))|Aa=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ba),$f287(Pa,Aa,Ba)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Aa),Ba))| -hBOOL(hAPP(nat,bool,Pa,$f287(Pa,Aa,Ba))).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))| -hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))|Aa=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ba),$f287(Pa,Aa,Ba)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))| -hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))| -hBOOL(hAPP(nat,bool,Pa,$f287(Pa,Aa,Ba))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Aa),Ba))|hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))|Aa!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ba),D_3)|hBOOL(hAPP(nat,bool,Pa,D_3)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Aa),Ba))|Aa=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ba),$f288(Pa,Aa,Ba)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Aa),Ba))| -hBOOL(hAPP(nat,bool,Pa,$f288(Pa,Aa,Ba))).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))| -hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))|Aa=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ba),$f288(Pa,Aa,Ba)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Aa),Ba)))| -hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))| -hBOOL(hAPP(nat,bool,Pa,$f288(Pa,Aa,Ba))).
% 61.46/61.09 0 [] -monoid_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1)=ti(X_a,A_1).
% 61.46/61.09 0 [] -comm_monoid_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1)=ti(X_a,A_1).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)|zero_zero(X_a)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)|ti(X_a,Aa)=zero_zero(X_a).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)|zero_zero(X_a)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)|ti(X_a,Aa)!=zero_zero(X_a).
% 61.46/61.09 0 [] -monoid_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a))=ti(X_a,A_1).
% 61.46/61.09 0 [] -comm_monoid_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a))=ti(X_a,A_1).
% 61.46/61.09 0 [] -group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),B)),B)=ti(X_a,A_1).
% 61.46/61.09 0 [] -group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),B)=ti(X_a,A_1).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),X),Y)),Z_1)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),ord_min(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),X),Z_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Y),Z_1)).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)!=M|N=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),I_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),I_2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),M),N)),I_2).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),N))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),J)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K)).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),N)=M.
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)),N)=M.
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)!=zero_zero(nat)|M_2=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)!=zero_zero(nat)|N_2=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)=zero_zero(nat)|M_2!=zero_zero(nat)|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M))=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),zero_zero(nat))=M.
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),N),zero_zero(nat))=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),N)=N.
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),zero_zero(nat)),N)=zero_zero(nat).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)),zero_zero(X_a))).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)),zero_zero(X_a))).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Ca),D)).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),Ba))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Ca),D)).
% 61.46/61.09 0 [] -ab_group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)|ti(X_a,Aa)!=ti(X_a,Ba)|ti(X_a,Ca)=ti(X_a,D).
% 61.46/61.09 0 [] -ab_group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)|ti(X_a,Aa)=ti(X_a,Ba)|ti(X_a,Ca)!=ti(X_a,D).
% 61.46/61.09 0 [] -group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)!=zero_zero(X_a)|ti(X_a,Aa)=ti(X_a,Ba).
% 61.46/61.09 0 [] -group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)=zero_zero(X_a)|ti(X_a,Aa)!=ti(X_a,Ba).
% 61.46/61.09 0 [] -ab_group_add(X_a)|ti(X_a,Aa)!=ti(X_a,Ba)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)=zero_zero(X_a).
% 61.46/61.09 0 [] -ab_group_add(X_a)|ti(X_a,Aa)=ti(X_a,Ba)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)!=zero_zero(X_a).
% 61.46/61.09 0 [] -group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),A_1)=zero_zero(X_a).
% 61.46/61.09 0 [] -group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),zero_zero(X_a))=ti(X_a,A_1).
% 61.46/61.09 0 [] -zero(X_a)|zero_zero(X_a)!=ti(X_a,X_1)|ti(X_a,X_1)=zero_zero(X_a).
% 61.46/61.09 0 [] -zero(X_a)|zero_zero(X_a)=ti(X_a,X_1)|ti(X_a,X_1)!=zero_zero(X_a).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)),zero_zero(X_a))).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)),zero_zero(X_a))).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Ca),D)).
% 61.46/61.09 0 [] -ordered_ab_group_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Aa),Ba)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),Ca),D)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),Ba))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Ca),D)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))|hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,suc,zero_zero(nat))))=N.
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,suc,I_2))),N)).
% 61.46/61.09 0 [] N=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),L))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),N)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),M))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),K))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),N)),K)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|N!=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),M))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),M)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),M_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),M_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.09 0 [] N_2=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2)).
% 61.46/61.09 0 [] N_2!=zero_zero(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat))).
% 61.46/61.09 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),M_2),X_1)!=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1)|M_2=N_2.
% 61.46/61.09 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),M_2),X_1)!=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1)|M_2=zero_zero(nat)|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.46/61.09 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),M_2),X_1)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1)|M_2!=N_2|M_2!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),M_2),X_1)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1)|M_2!=N_2|ti(X_a,X_1)!=ti(X_a,Y_1).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),zero_zero(nat)),Xs)=Xs.
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),zero_zero(nat)),N)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),zero_zero(nat)))|N_2=zero_zero(nat).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N_2),zero_zero(nat)))|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),M)).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),N_2)!=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),N_2)=zero_zero(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),N)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L),M))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),L)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),L))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_2),N))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),I_2))=I_2.
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)|M_2=N_2.
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)|M_2!=N_2.
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),M))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),N))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M_2),N_2)).
% 61.46/61.09 0 [] zero_zero(nat)!=hAPP(nat,nat,suc,M).
% 61.46/61.09 0 [] zero_zero(nat)!=hAPP(nat,nat,suc,Nat_3).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,M)!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,Nat_2)!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,N))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M)),N)),hAPP(nat,nat,suc,K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),K).
% 61.46/61.09 0 [] zero_zero(nat)!=hAPP(nat,nat,suc,M).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,M)!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)!=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),M)!=zero_zero(nat)|M=N.
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),J)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),K)),J).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),M)=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),zero_zero(nat))=M.
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),N)=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,X_a,hAPP(fun(nat,X_a),fun(nat,X_a),hAPP(X_a,fun(fun(nat,X_a),fun(nat,X_a)),nat_case(X_a),F1),F2),zero_zero(nat))=ti(X_a,F1).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),hAPP(nat,nat,suc,N_2))=hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),combi(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K)),I_2).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K)),I_2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),K).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),I_1)!=K_1|J_2=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),I_1).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),J_2))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),I_1)=K_1|J_2!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),I_1).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),N)=M.
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),J_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1)),J_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),J_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),I_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1)),J_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N))=M.
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),N))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),M),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M)),K))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)),I_1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1))).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)),I_1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),J_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K)),J).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A_1),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),C),A_1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A_1),C)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),B),C))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),M_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K_1),N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N_2),K_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),M))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M)),N)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1)),J_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_2),K_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K_1)),J_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),N))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N))=M.
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),hAPP(nat,nat,suc,M))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),zero_zero(X_a)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),zero_zero(X_a))).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),zero_zero(X_a))).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),Aa)).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),Aa)).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),N).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),zero_zero(X_a)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),zero_zero(X_a)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),C))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),A_1))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),C))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),X_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),Y_1))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),X_1),Y_1)!=zero_zero(X_a)|ti(X_a,X_1)=zero_zero(X_a).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),X_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),Y_1))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),X_1),Y_1)!=zero_zero(X_a)|ti(X_a,Y_1)=zero_zero(X_a).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),X_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),Y_1))|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),X_1),Y_1)=zero_zero(X_a)|ti(X_a,X_1)!=zero_zero(X_a)|ti(X_a,Y_1)!=zero_zero(X_a).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),zero_zero(X_a))).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),Aa),zero_zero(X_a))).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),Aa)).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),Aa)).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),M),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),N)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),K),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),K),I_2)),X).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))|M_2=zero_zero(nat)|M_2=hAPP(nat,nat,suc,$f289(M_2,N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))|M_2=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f289(M_2,N_2)),N_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))|M_2!=zero_zero(nat).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),hAPP(nat,nat,suc,N_2)))|M_2!=hAPP(nat,nat,suc,J_1)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_1),N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,zero_zero(nat))))|N_2=zero_zero(nat).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N_2),hAPP(nat,nat,suc,zero_zero(nat))))|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2))|N_2=hAPP(nat,nat,suc,$f290(N_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2))|N_2!=hAPP(nat,nat,suc,M_1).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,zero_zero(nat))!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)|M_2=hAPP(nat,nat,suc,zero_zero(nat))|M_2=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,zero_zero(nat))!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)|M_2=hAPP(nat,nat,suc,zero_zero(nat))|N_2=hAPP(nat,nat,suc,zero_zero(nat)).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,zero_zero(nat))!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)|N_2=zero_zero(nat)|M_2=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,zero_zero(nat))!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)|N_2=zero_zero(nat)|N_2=hAPP(nat,nat,suc,zero_zero(nat)).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,zero_zero(nat))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)|M_2!=hAPP(nat,nat,suc,zero_zero(nat))|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,suc,zero_zero(nat))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)|M_2!=zero_zero(nat)|N_2!=hAPP(nat,nat,suc,zero_zero(nat)).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)!=hAPP(nat,nat,suc,zero_zero(nat))|M_2=hAPP(nat,nat,suc,zero_zero(nat))|M_2=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)!=hAPP(nat,nat,suc,zero_zero(nat))|M_2=hAPP(nat,nat,suc,zero_zero(nat))|N_2=hAPP(nat,nat,suc,zero_zero(nat)).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)!=hAPP(nat,nat,suc,zero_zero(nat))|N_2=zero_zero(nat)|M_2=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)!=hAPP(nat,nat,suc,zero_zero(nat))|N_2=zero_zero(nat)|N_2=hAPP(nat,nat,suc,zero_zero(nat)).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)=hAPP(nat,nat,suc,zero_zero(nat))|M_2!=hAPP(nat,nat,suc,zero_zero(nat))|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)=hAPP(nat,nat,suc,zero_zero(nat))|M_2!=zero_zero(nat)|N_2!=hAPP(nat,nat,suc,zero_zero(nat)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),M_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),M_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_2),N_2)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_2)).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),nil(X_a))=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=zero_zero(nat)|Xs_1=nil(X_a).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=zero_zero(nat)|Xs_1!=nil(X_a).
% 61.46/61.09 0 [] hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),zero_zero(nat))=ti(X_a,X).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),zero_zero(nat)),Xs)=nil(X_a).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1)!=nil(X_a)|N_2=zero_zero(nat)|Xs_1=nil(X_a).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1)=nil(X_a)|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1)=nil(X_a)|Xs_1!=nil(X_a).
% 61.46/61.09 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),zero_zero(nat)),Y)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Y),Xs).
% 61.46/61.09 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),zero_zero(nat)),X)=nil(X_a).
% 61.46/61.09 0 [] nil(X_a)!=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),X_1)|N_2=zero_zero(nat).
% 61.46/61.09 0 [] nil(X_a)=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),X_1)|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),X_1)!=nil(X_a)|N_2=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),X_1)=nil(X_a)|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1))))|ti(X_a,X_1)=ti(X_a,Y_1).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1))))|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Y_1))))|ti(X_a,X_1)!=ti(X_a,Y_1)|N_2=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Aa))))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|hBOOL(hAPP(X_a,bool,Pa,Aa)).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Aa))))| -hBOOL(hAPP(X_a,bool,Pa,X_2))|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f291(X_a,Pa,N_2,Aa)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Aa))))| -hBOOL(hAPP(X_a,bool,Pa,Aa))|N_2=zero_zero(nat).
% 61.46/61.09 0 [] hBOOL(hAPP(X_a,bool,Pa,$f291(X_a,Pa,N_2,Aa)))| -hBOOL(hAPP(X_a,bool,Pa,Aa))|N_2=zero_zero(nat).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f292(X_a,Pa,N_2,Aa)),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Aa))))|hBOOL(hAPP(X_a,bool,Pa,Aa))|N_2=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(X_a,bool,Pa,$f292(X_a,Pa,N_2,Aa)))|hBOOL(hAPP(X_a,bool,Pa,Aa))|N_2=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Aa))))|hBOOL(hAPP(X_a,bool,Pa,X_2))| -hBOOL(hAPP(X_a,bool,Pa,Aa)).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_2),hAPP(list(X_a),fun(X_a,bool),set(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N_2),Aa))))|hBOOL(hAPP(X_a,bool,Pa,X_2))|N_2!=zero_zero(nat).
% 61.46/61.09 0 [] N=zero_zero(nat)|hAPP(list(X_a),X_a,last(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=ti(X_a,X).
% 61.46/61.09 0 [] N=zero_zero(nat)|hAPP(list(X_a),X_a,hd(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=ti(X_a,X).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(nat,nat,suc,N_2)),M_2)=hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),hAPP(fun(nat,nat),fun(nat,nat),hAPP(fun(nat,nat),fun(fun(nat,nat),fun(nat,nat)),combb(nat,nat,nat),suc),hAPP(nat,fun(nat,nat),ord_min(nat),N_2))),M_2).
% 61.46/61.09 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),M_2),hAPP(nat,nat,suc,N_2))=hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),hAPP(fun(nat,nat),fun(nat,nat),hAPP(fun(nat,nat),fun(fun(nat,nat),fun(nat,nat)),combb(nat,nat,nat),suc),hAPP(nat,fun(nat,nat),hAPP(fun(nat,fun(nat,nat)),fun(nat,fun(nat,nat)),combc(nat,nat,nat),ord_min(nat)),N_2))),M_2).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K)))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)),hAPP(nat,nat,suc,J)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),K),J))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K))),M)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,J)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),M)).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))),Ys_1)).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),C))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),zero_zero(X_a)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),B),zero_zero(X_a)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))).
% 61.46/61.09 0 [] -ordere216010020id_add(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),A_1),zero_zero(X_a)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1))=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))),Ys_1)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|Xs_1!=nil(X_a).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|Xs_1=nil(X_a).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),A_2))|hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))),A_2)=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a)).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),A_2))|hAPP(fun(nat,bool),list(X_a),hAPP(list(X_a),fun(fun(nat,bool),list(X_a)),sublist(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),nil(X_a))),A_2)=nil(X_a).
% 61.46/61.09 0 [] Xs=nil(X_a)|hAPP(list(X_a),X_a,hd(X_a),Xs)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),zero_zero(nat)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),N)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),N).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),N)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Ys_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),N),X)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),N),X)),Ys_1).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),N),X)=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Ys_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs))),X)).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),I_2),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),I_2)),hAPP(list(X_a),list(X_a),rev(X_a),Xs)).
% 61.46/61.09 0 [] hAPP(list(X_a),list(X_a),rev(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),I_2),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),I_2)),hAPP(list(X_a),list(X_a),rev(X_a),Xs)).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),A_1),List_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),List_1)),hAPP(nat,nat,suc,zero_zero(nat))).
% 61.46/61.09 0 [] hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)=hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,fun(nat,bool)),fun(X_a,bool),hAPP(fun(fun(nat,bool),bool),fun(fun(X_a,fun(nat,bool)),fun(X_a,bool)),combb(fun(nat,bool),bool,X_a),fEx(nat)),hAPP(fun(nat,bool),fun(X_a,fun(nat,bool)),hAPP(fun(X_a,fun(fun(nat,bool),fun(nat,bool))),fun(fun(nat,bool),fun(X_a,fun(nat,bool))),combc(X_a,fun(nat,bool),fun(nat,bool)),hAPP(fun(X_a,fun(nat,fun(bool,bool))),fun(X_a,fun(fun(nat,bool),fun(nat,bool))),hAPP(fun(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool))),fun(fun(X_a,fun(nat,fun(bool,bool))),fun(X_a,fun(fun(nat,bool),fun(nat,bool)))),combb(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),X_a),combs(nat,bool,bool)),hAPP(fun(X_a,fun(nat,bool)),fun(X_a,fun(nat,fun(bool,bool))),hAPP(fun(fun(nat,bool),fun(nat,fun(bool,bool))),fun(fun(X_a,fun(nat,bool)),fun(X_a,fun(nat,fun(bool,bool)))),combb(fun(nat,bool),fun(nat,fun(bool,bool)),X_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj)),hAPP(fun(nat,X_a),fun(X_a,fun(nat,bool)),hAPP(fun(X_a,fun(fun(nat,X_a),fun(nat,bool))),fun(fun(nat,X_a),fun(X_a,fun(nat,bool))),combc(X_a,fun(nat,X_a),fun(nat,bool)),hAPP(fun(X_a,fun(X_a,bool)),fun(X_a,fun(fun(nat,X_a),fun(nat,bool))),hAPP(fun(fun(X_a,bool),fun(fun(nat,X_a),fun(nat,bool))),fun(fun(X_a,fun(X_a,bool)),fun(X_a,fun(fun(nat,X_a),fun(nat,bool)))),combb(fun(X_a,bool),fun(fun(nat,X_a),fun(nat,bool)),X_a),combb(X_a,bool,nat)),fe_qual(X_a))),hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1))))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))))).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))| -hBOOL(hAPP(nat,bool,Pa,N_2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),$f293(N_2,Pa)),N_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))| -hBOOL(hAPP(nat,bool,Pa,N_2))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),$f293(N_2,Pa)))| -hBOOL(hAPP(nat,bool,Pa,I)).
% 61.46/61.09 0 [] hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))| -hBOOL(hAPP(nat,bool,Pa,N_2))|hBOOL(hAPP(nat,bool,Pa,$f293(N_2,Pa))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),$f294(I_2,J))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),$f294(I_2,J))=J.
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),B_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),B_1),C_1))|hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),B_1),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),C_1),A_2))=ti(fun(X_a,bool),A_2).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),A_2),C_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),D_2),B_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),C_1),D_2))).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less_e_q(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)),A_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))|N=hAPP(nat,nat,suc,$f295(N)).
% 61.46/61.09 0 [] -linordered_idom(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),zero_zero(X_a))).
% 61.46/61.09 0 [] -linordered_idom(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)),zero_zero(X_a)))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Aa),zero_zero(X_a))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2)).
% 61.46/61.09 0 [] hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)),B_1)=hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),A_2))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Ca),B_1)).
% 61.46/61.09 0 [] hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),A_2),B_1)=hAPP(fun(X_a,bool),fun(X_a,bool),collect(X_a),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,bool)),combs(X_a,bool,bool),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),combb(bool,bool,X_a),fNot),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),B_1)))).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)!=zero_zero(X_a)|ti(X_a,Aa)=zero_zero(X_a).
% 61.46/61.09 0 [] -linord219039673up_add(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Aa),Aa)=zero_zero(X_a)|ti(X_a,Aa)!=zero_zero(X_a).
% 61.46/61.09 0 [] -linordered_semidom(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))).
% 61.46/61.09 0 [] hAPP(nat,nat,nat_size,hAPP(nat,nat,suc,Nat))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,nat_size,Nat)),hAPP(nat,nat,suc,zero_zero(nat))).
% 61.46/61.09 0 [] -linordered_idom(X_a)|ti(X_a,X)=ti(X_a,Y)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)).
% 61.46/61.09 0 [] hAPP(nat,nat,nat_size,zero_zero(nat))=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(fun(X_a,bool),fun(fun(X_a,bool),bool),ord_less(fun(X_a,bool)),A_2),B_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f296(X_a,A_2,B_1)),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,bool),fun(fun(X_a,bool),fun(X_a,bool)),minus_minus(fun(X_a,bool)),B_1),A_2))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,K_1))|hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,$f297(I_1,Pa,K_1))))|hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),K_1),I_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,K_1))| -hBOOL(hAPP(nat,bool,Pa,$f297(I_1,Pa,K_1)))|hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),K_1),I_1))).
% 61.46/61.09 0 [] N=zero_zero(nat)|N=hAPP(nat,nat,suc,$f298(N)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))|hBOOL(hAPP(nat,bool,Pa,$f299(N_2,Pa)))|hBOOL(hAPP(nat,bool,Pa,N_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))| -hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,$f299(N_2,Pa))))|hBOOL(hAPP(nat,bool,Pa,N_2)).
% 61.46/61.09 0 [] Y=zero_zero(nat)|Y=hAPP(nat,nat,suc,$f300(Y)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,K_1))|hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,$f301(Pa,K_1))))|hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,Pa,K_1))| -hBOOL(hAPP(nat,bool,Pa,$f301(Pa,K_1)))|hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))).
% 61.46/61.09 0 [] hAPP(nat,nat,size_size(nat),hAPP(nat,nat,suc,Nat))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,size_size(nat),Nat)),hAPP(nat,nat,suc,zero_zero(nat))).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),Fa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Aa),List))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(X_a,nat,Fa,Aa)),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),Fa),List))),hAPP(nat,nat,suc,zero_zero(nat))).
% 61.46/61.09 0 [] hAPP(nat,nat,size_size(nat),zero_zero(nat))=zero_zero(nat).
% 61.46/61.09 0 [] hAPP(nat,nat,size_size(nat),N)=N.
% 61.46/61.09 0 [] hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),Fa),nil(X_a))=zero_zero(nat).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Y_1),hAPP(X_a,nat,F,X_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Y_1),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),F),Xs_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),Y_1),hAPP(X_a,nat,F,X_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),Y_1),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),F),Xs_1))).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f302(X_a,F,G,Xs_1)),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),F),Xs_1)),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),G),Xs_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(X_a,nat,F,$f302(X_a,F,G,Xs_1))),hAPP(X_a,nat,G,$f302(X_a,F,G,Xs_1))))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),F),Xs_1)),hAPP(list(X_a),nat,hAPP(fun(X_a,nat),fun(list(X_a),nat),list_size(X_a),G),Xs_1))).
% 61.46/61.09 0 [] hAPP(fun(list(X_a),bool),fun(list(X_a),bool),hAPP(fun(X_a,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool)),set_Cons(X_a),A_2),XS)=hAPP(fun(list(X_a),bool),fun(list(X_a),bool),collect(list(X_a)),hAPP(fun(list(X_a),fun(X_a,bool)),fun(list(X_a),bool),hAPP(fun(fun(X_a,bool),bool),fun(fun(list(X_a),fun(X_a,bool)),fun(list(X_a),bool)),combb(fun(X_a,bool),bool,list(X_a)),fEx(X_a)),hAPP(fun(list(X_a),fun(X_a,fun(list(X_a),bool))),fun(list(X_a),fun(X_a,bool)),hAPP(fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,bool)),fun(fun(list(X_a),fun(X_a,fun(list(X_a),bool))),fun(list(X_a),fun(X_a,bool))),combb(fun(X_a,fun(list(X_a),bool)),fun(X_a,bool),list(X_a)),hAPP(fun(fun(list(X_a),bool),bool),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,bool)),combb(fun(list(X_a),bool),bool,X_a),fEx(list(X_a)))),hAPP(fun(X_a,fun(list(X_a),bool)),fun(list(X_a),fun(X_a,fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool)))),fun(fun(X_a,fun(list(X_a),bool)),fun(list(X_a),fun(X_a,fun(list(X_a),bool)))),combc(list(X_a),fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),fun(list(X_a),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool)))),hAPP(fun(fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool)))),fun(fun(list(X_a),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),fun(list(X_a),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool))))),combb(fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),bool))),list(X_a)),combs(X_a,fun(list(X_a),bool),fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(X_a,fun(list(X_a),fun(bool,bool)))),fun(list(X_a),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),hAPP(fun(fun(X_a,fun(list(X_a),fun(bool,bool))),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),fun(fun(list(X_a),fun(X_a,fun(list(X_a),fun(bool,bool)))),fun(list(X_a),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))))),combb(fun(X_a,fun(list(X_a),fun(bool,bool))),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),list(X_a)),hAPP(fun(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(X_a,fun(list(X_a),fun(bool,bool))),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),combb(fun(list(X_a),fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool)),X_a),combs(list(X_a),bool,bool))),hAPP(fun(list(X_a),fun(X_a,fun(list(X_a),bool))),fun(list(X_a),fun(X_a,fun(list(X_a),fun(bool,bool)))),hAPP(fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),fun(bool,bool)))),fun(fun(list(X_a),fun(X_a,fun(list(X_a),bool))),fun(list(X_a),fun(X_a,fun(list(X_a),fun(bool,bool))))),combb(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),fun(bool,bool))),list(X_a)),hAPP(fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),fun(fun(X_a,fun(list(X_a),bool)),fun(X_a,fun(list(X_a),fun(bool,bool)))),combb(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool)),X_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(list(X_a),bool),fun(list(X_a),fun(bool,bool))),combb(bool,fun(bool,bool),list(X_a)),fconj))),hAPP(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),fun(X_a,fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool)))),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(list(X_a),fun(X_a,fun(list(X_a),bool)))),combc(list(X_a),fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool))),hAPP(fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool))),fun(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool)))),hAPP(fun(fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool)),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool)))),fun(fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool))),fun(list(X_a),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool))))),combb(fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool)),fun(fun(X_a,fun(list(X_a),list(X_a))),fun(X_a,fun(list(X_a),bool))),list(X_a)),combb(fun(list(X_a),list(X_a)),fun(list(X_a),bool),X_a)),hAPP(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool))),hAPP(fun(fun(list(X_a),bool),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool))),fun(fun(list(X_a),fun(list(X_a),bool)),fun(list(X_a),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool)))),combb(fun(list(X_a),bool),fun(fun(list(X_a),list(X_a)),fun(list(X_a),bool)),list(X_a)),combb(list(X_a),bool,list(X_a))),fe_qual(list(X_a))))),cons(X_a)))))),hAPP(fun(list(X_a),bool),fun(X_a,fun(list(X_a),bool)),hAPP(fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(list(X_a),bool),fun(X_a,fun(list(X_a),bool))),combc(X_a,fun(list(X_a),bool),fun(list(X_a),bool)),hAPP(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool))),hAPP(fun(fun(bool,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool))),fun(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(list(X_a),bool),fun(list(X_a),bool)))),combb(fun(bool,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool)),X_a),combb(bool,bool,list(X_a))),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2)))),hAPP(fun(list(X_a),bool),fun(list(X_a),bool),hAPP(fun(list(X_a),fun(fun(list(X_a),bool),bool)),fun(fun(list(X_a),bool),fun(list(X_a),bool)),combc(list(X_a),fun(list(X_a),bool),bool),member(list(X_a))),XS)))))).
% 61.46/61.09 0 [] -comm_semiring_1(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1)=ti(X_a,A_1).
% 61.46/61.09 0 [] -comm_semiring_1(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a))=ti(X_a,A_1).
% 61.46/61.09 0 [] -comm_semiring_1(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D_1))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D_1)).
% 61.46/61.09 0 [] -comm_semiring_1(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),B).
% 61.46/61.09 0 [] -comm_semiring_1(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)).
% 61.46/61.09 0 [] -comm_semiring_1(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D_1))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),D_1).
% 61.46/61.09 0 [] -comm_semiring_1(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D_1))=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),D_1)).
% 61.46/61.09 0 [] -comm_semiring_1(X_a)|hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1).
% 61.46/61.09 0 [] -semiri456707255roduct(X_a)|ti(X_a,Ba)!=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Aa)|ti(X_a,Aa)=zero_zero(X_a).
% 61.46/61.09 0 [] -semiri456707255roduct(X_a)|ti(X_a,Ba)=hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Ba),Aa)|ti(X_a,Aa)!=zero_zero(X_a).
% 61.46/61.09 0 [] -linordered_field(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),$f303(X_a,X,Y)))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y)).
% 61.46/61.09 0 [] -linordered_field(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Y),$f303(X_a,X,Y))))|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),X),Y)).
% 61.46/61.09 0 [] hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))=hAPP(fun(product_prod(X_a,X_b),bool),fun(product_prod(X_a,X_b),bool),collect(product_prod(X_a,X_b)),hAPP(fun(product_prod(X_a,X_b),fun(nat,bool)),fun(product_prod(X_a,X_b),bool),hAPP(fun(fun(nat,bool),bool),fun(fun(product_prod(X_a,X_b),fun(nat,bool)),fun(product_prod(X_a,X_b),bool)),combb(fun(nat,bool),bool,product_prod(X_a,X_b)),fEx(nat)),hAPP(fun(nat,bool),fun(product_prod(X_a,X_b),fun(nat,bool)),hAPP(fun(product_prod(X_a,X_b),fun(fun(nat,bool),fun(nat,bool))),fun(fun(nat,bool),fun(product_prod(X_a,X_b),fun(nat,bool))),combc(product_prod(X_a,X_b),fun(nat,bool),fun(nat,bool)),hAPP(fun(product_prod(X_a,X_b),fun(nat,fun(bool,bool))),fun(product_prod(X_a,X_b),fun(fun(nat,bool),fun(nat,bool))),hAPP(fun(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool))),fun(fun(product_prod(X_a,X_b),fun(nat,fun(bool,bool))),fun(product_prod(X_a,X_b),fun(fun(nat,bool),fun(nat,bool)))),combb(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),product_prod(X_a,X_b)),combs(nat,bool,bool)),hAPP(fun(product_prod(X_a,X_b),fun(nat,bool)),fun(product_prod(X_a,X_b),fun(nat,fun(bool,bool))),hAPP(fun(fun(nat,bool),fun(nat,fun(bool,bool))),fun(fun(product_prod(X_a,X_b),fun(nat,bool)),fun(product_prod(X_a,X_b),fun(nat,fun(bool,bool)))),combb(fun(nat,bool),fun(nat,fun(bool,bool)),product_prod(X_a,X_b)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj)),hAPP(fun(nat,product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),fun(nat,bool)),hAPP(fun(product_prod(X_a,X_b),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool))),fun(fun(nat,product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),fun(nat,bool))),combc(product_prod(X_a,X_b),fun(nat,product_prod(X_a,X_b)),fun(nat,bool)),hAPP(fun(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),bool)),fun(product_prod(X_a,X_b),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool))),hAPP(fun(fun(product_prod(X_a,X_b),bool),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool))),fun(fun(product_prod(X_a,X_b),fun(product_prod(X_a,X_b),bool)),fun(product_prod(X_a,X_b),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool)))),combb(fun(product_prod(X_a,X_b),bool),fun(fun(nat,product_prod(X_a,X_b)),fun(nat,bool)),product_prod(X_a,X_b)),combb(product_prod(X_a,X_b),bool,nat)),fe_qual(product_prod(X_a,X_b)))),hAPP(fun(nat,X_b),fun(nat,product_prod(X_a,X_b)),hAPP(fun(nat,fun(X_b,product_prod(X_a,X_b))),fun(fun(nat,X_b),fun(nat,product_prod(X_a,X_b))),combs(nat,X_b,product_prod(X_a,X_b)),hAPP(fun(nat,X_a),fun(nat,fun(X_b,product_prod(X_a,X_b))),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(fun(nat,X_a),fun(nat,fun(X_b,product_prod(X_a,X_b)))),combb(X_a,fun(X_b,product_prod(X_a,X_b)),nat),product_Pair(X_a,X_b)),hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1))),hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys)))))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),hAPP(list(X_b),nat,size_size(list(X_b)),Ys)))))).
% 61.46/61.09 0 [] hAPP(list(product_prod(X_a,X_b)),nat,size_size(list(product_prod(X_a,X_b))),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)|hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),rev(X_a),Xs)),hAPP(list(X_b),list(X_b),rev(X_b),Ys_1))=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),rev(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1)).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs)!=hAPP(list(X_b),nat,size_size(list(X_b)),Us_2)|hAPP(list(X_a),nat,size_size(list(X_a)),Ys_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Vs_2)|hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Us_2),Vs_2))=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(list(product_prod(X_a,X_b)),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),append(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Us_2)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Ys_1),Vs_2)).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys)=hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(fun(X_b,fun(list(X_b),list(product_prod(X_a,X_b)))),fun(list(X_b),list(product_prod(X_a,X_b))),hAPP(list(product_prod(X_a,X_b)),fun(fun(X_b,fun(list(X_b),list(product_prod(X_a,X_b)))),fun(list(X_b),list(product_prod(X_a,X_b)))),list_case(list(product_prod(X_a,X_b)),X_b),nil(product_prod(X_a,X_b))),hAPP(fun(list(X_b),list(product_prod(X_a,X_b))),fun(X_b,fun(list(X_b),list(product_prod(X_a,X_b)))),hAPP(fun(X_b,fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b))))),fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(X_b,fun(list(X_b),list(product_prod(X_a,X_b))))),combc(X_b,fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b)))),hAPP(fun(X_b,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(X_b,fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b))))),hAPP(fun(fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b))))),fun(fun(X_b,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(X_b,fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b)))))),combb(fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),fun(fun(list(X_b),list(product_prod(X_a,X_b))),fun(list(X_b),list(product_prod(X_a,X_b)))),X_b),combb(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),list(X_b))),hAPP(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),hAPP(fun(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(fun(X_b,product_prod(X_a,X_b)),fun(X_b,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))))),combb(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),X_b),cons(product_prod(X_a,X_b))),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1)))),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1))),Ys).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys))=hAPP(list(X_a),list(product_prod(X_a,X_b)),hAPP(fun(X_a,fun(list(X_a),list(product_prod(X_a,X_b)))),fun(list(X_a),list(product_prod(X_a,X_b))),hAPP(list(product_prod(X_a,X_b)),fun(fun(X_a,fun(list(X_a),list(product_prod(X_a,X_b)))),fun(list(X_a),list(product_prod(X_a,X_b)))),list_case(list(product_prod(X_a,X_b)),X_a),nil(product_prod(X_a,X_b))),hAPP(fun(list(X_a),list(product_prod(X_a,X_b))),fun(X_a,fun(list(X_a),list(product_prod(X_a,X_b)))),hAPP(fun(X_a,fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b))))),fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(X_a,fun(list(X_a),list(product_prod(X_a,X_b))))),combc(X_a,fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b)))),hAPP(fun(X_a,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(X_a,fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b))))),hAPP(fun(fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b))))),fun(fun(X_a,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(X_a,fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b)))))),combb(fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),fun(fun(list(X_a),list(product_prod(X_a,X_b))),fun(list(X_a),list(product_prod(X_a,X_b)))),X_a),combb(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),list(X_a))),hAPP(fun(X_a,product_prod(X_a,X_b)),fun(X_a,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),hAPP(fun(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)))),fun(fun(X_a,product_prod(X_a,X_b)),fun(X_a,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))))),combb(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),X_a),cons(product_prod(X_a,X_b))),hAPP(X_b,fun(X_a,product_prod(X_a,X_b)),hAPP(fun(X_a,fun(X_b,product_prod(X_a,X_b))),fun(X_b,fun(X_a,product_prod(X_a,X_b))),combc(X_a,X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b)),Y_1)))),hAPP(list(X_b),fun(list(X_a),list(product_prod(X_a,X_b))),hAPP(fun(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b)))),fun(list(X_b),fun(list(X_a),list(product_prod(X_a,X_b)))),combc(list(X_a),list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b)),Ys))),Xs_1).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),I_2),X)),hAPP(X_b,list(X_b),hAPP(nat,fun(X_b,list(X_b)),hAPP(list(X_b),fun(nat,fun(X_b,list(X_b))),list_update(X_b),Ys_1),I_2),Y))=hAPP(product_prod(X_a,X_b),list(product_prod(X_a,X_b)),hAPP(nat,fun(product_prod(X_a,X_b),list(product_prod(X_a,X_b))),hAPP(list(product_prod(X_a,X_b)),fun(nat,fun(product_prod(X_a,X_b),list(product_prod(X_a,X_b)))),list_update(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1)),I_2),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X),Y)).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y),Ys_1))=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(product_prod(X_a,X_b),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),cons(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X),Y)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1)).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))|hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),Y_1),hAPP(list(X_b),fun(X_b,bool),set(X_b),Ys))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))|hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),Y_1),hAPP(list(X_b),fun(X_b,bool),set(X_b),Ys))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X_1),Y_1)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X_1),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Xs_1))))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Aa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Xs_1))))|ti(X_a,Aa)=ti(X_a,Ba).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),Aa),Ba)),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Xs_1))))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),Aa),hAPP(list(X_a),fun(X_a,bool),set(X_a),Xs_1)))|ti(X_a,Aa)!=ti(X_a,Ba).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),nil(X_b))=nil(product_prod(X_a,X_b)).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),nil(X_a)),Ys_1)=nil(product_prod(X_a,X_b)).
% 61.46/61.09 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Ys_1))|hBOOL(hAPP(list(product_prod(X_b,X_a)),bool,distinct(product_prod(X_b,X_a)),hAPP(list(X_a),list(product_prod(X_b,X_a)),hAPP(list(X_b),fun(list(X_a),list(product_prod(X_b,X_a))),zip(X_b,X_a),Xs),Ys_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(list(X_a),bool,distinct(X_a),Xs))|hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,distinct(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))).
% 61.46/61.09 0 [] hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(nat,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),take(product_prod(X_a,X_b)),N),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))=hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs)),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),take(X_b),N),Ys_1)).
% 61.46/61.09 0 [] hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(nat,fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),drop(product_prod(X_a,X_b)),N),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1))=hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),Xs)),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),drop(X_b),N),Ys_1)).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),I_2),X)),hAPP(X_b,list(X_b),hAPP(nat,fun(X_b,list(X_b)),replicate(X_b),J),Y))=hAPP(product_prod(X_a,X_b),list(product_prod(X_a,X_b)),hAPP(nat,fun(product_prod(X_a,X_b),list(product_prod(X_a,X_b))),replicate(product_prod(X_a,X_b)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),I_2),J)),hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),X),Y)).
% 61.46/61.09 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)))|hAPP(nat,product_prod(X_a,X_b),hAPP(list(product_prod(X_a,X_b)),fun(nat,product_prod(X_a,X_b)),nth(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),Ys_1)),I_2)=hAPP(X_b,product_prod(X_a,X_b),hAPP(X_a,fun(X_b,product_prod(X_a,X_b)),product_Pair(X_a,X_b),hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),I_2)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys_1),I_2)).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs),Ys_1)),Zs_2)=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(list(product_prod(X_a,X_b)),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),append(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),take(X_b),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),Zs_2))),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Ys_1),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),drop(X_b),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),Zs_2))).
% 61.46/61.09 0 [] hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys_1),Zs_2))=hAPP(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b)),hAPP(list(product_prod(X_a,X_b)),fun(list(product_prod(X_a,X_b)),list(product_prod(X_a,X_b))),append(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)),Xs)),Ys_1)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(list(X_b),nat,size_size(list(X_b)),Ys_1)),Xs)),Zs_2)).
% 61.46/61.09 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),$f306(X_a,X_b,Pa,Xs_1,Ys))=hAPP(list(X_b),nat,size_size(list(X_b)),$f305(X_a,X_b,Pa,Xs_1,Ys))|hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,Pa,hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))).
% 61.46/61.09 0 [] $f304(X_a,X_b,Pa,Xs_1,Ys)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),ord_min(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)),hAPP(list(X_b),nat,size_size(list(X_b)),Ys))|hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,Pa,hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))).
% 61.46/61.09 0 [] $f306(X_a,X_b,Pa,Xs_1,Ys)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),$f304(X_a,X_b,Pa,Xs_1,Ys)),Xs_1)|hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,Pa,hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))).
% 61.46/61.09 0 [] $f305(X_a,X_b,Pa,Xs_1,Ys)=hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),take(X_b),$f304(X_a,X_b,Pa,Xs_1,Ys)),Ys)|hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,Pa,hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))).
% 61.46/61.09 0 [] -hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,Pa,hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),$f306(X_a,X_b,Pa,Xs_1,Ys)),$f305(X_a,X_b,Pa,Xs_1,Ys))))|hBOOL(hAPP(list(product_prod(X_a,X_b)),bool,Pa,hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),X_2),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Ys))))|hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),hAPP(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),hAPP(fun(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)))),combb(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),X_a),combc(X_a,fun(product_prod(X_a,X_a),bool),bool)),hAPP(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),hAPP(fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)))),combb(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),combb(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),X_a),member(product_prod(X_a,X_a)))),product_Pair(X_a,X_a)))),R_1)),X_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),$f307(X_a,Xs_1,Ys,R_1)),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Ys)))).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(product_prod(list(X_a),list(X_a)),bool),bool,hAPP(product_prod(list(X_a),list(X_a)),fun(fun(product_prod(list(X_a),list(X_a)),bool),bool),member(product_prod(list(X_a),list(X_a))),hAPP(list(X_a),product_prod(list(X_a),list(X_a)),hAPP(list(X_a),fun(list(X_a),product_prod(list(X_a),list(X_a))),product_Pair(list(X_a),list(X_a)),Xs_1),Ys)),hAPP(fun(product_prod(X_a,X_a),bool),fun(product_prod(list(X_a),list(X_a)),bool),listrel(X_a),R_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)| -hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),hAPP(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),hAPP(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),hAPP(fun(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool))),fun(fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)))),combb(fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(product_prod(X_a,X_a),bool),fun(X_a,bool)),X_a),combc(X_a,fun(product_prod(X_a,X_a),bool),bool)),hAPP(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),hAPP(fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),fun(fun(X_a,fun(X_a,product_prod(X_a,X_a))),fun(X_a,fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)))),combb(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool)),X_a),hAPP(fun(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool)),fun(fun(X_a,product_prod(X_a,X_a)),fun(X_a,fun(fun(product_prod(X_a,X_a),bool),bool))),combb(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),X_a),member(product_prod(X_a,X_a)))),product_Pair(X_a,X_a)))),R_1)),$f307(X_a,Xs_1,Ys,R_1))).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),X_2),R_1))|hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),hAPP(fun(X_a,bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),fun(fun(X_a,bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(X_a,bool),fun(X_a,bool)),hAPP(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),hAPP(fun(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool))),fun(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(X_a,bool),fun(X_a,bool)))),combb(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),X_a),combb(bool,bool,X_a)),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2)))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2))),X_2)).
% 61.46/61.09 0 [] -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))| -hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),X7),A_2))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),X7),X7)),R_1)).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),$f308(X_a,A_2,R_1)),R_1))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f309(X_a,A_2,R_1)),A_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),$f308(X_a,A_2,R_1)),R_1))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f309(X_a,A_2,R_1)),$f309(X_a,A_2,R_1))),R_1)).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))| -hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),hAPP(fun(X_a,bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),fun(fun(X_a,bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(X_a,bool),fun(X_a,bool)),hAPP(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),hAPP(fun(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool))),fun(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(X_a,bool),fun(X_a,bool)))),combb(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),X_a),combb(bool,bool,X_a)),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2)))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2))),$f308(X_a,A_2,R_1)))|hBOOL(hAPP(fun(X_a,bool),bool,hAPP(X_a,fun(fun(X_a,bool),bool),member(X_a),$f309(X_a,A_2,R_1)),A_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(fun(X_a,bool),fun(fun(product_prod(X_a,X_a),bool),bool),refl_on(X_a),A_2),R_1))| -hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),hAPP(fun(X_a,bool),fun(X_a,fun(X_a,bool)),hAPP(fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),fun(fun(X_a,bool),fun(X_a,fun(X_a,bool))),combc(X_a,fun(X_a,bool),fun(X_a,bool)),hAPP(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(X_a,bool),fun(X_a,bool))),hAPP(fun(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool))),fun(fun(X_a,fun(bool,bool)),fun(X_a,fun(fun(X_a,bool),fun(X_a,bool)))),combb(fun(bool,bool),fun(fun(X_a,bool),fun(X_a,bool)),X_a),combb(bool,bool,X_a)),hAPP(fun(X_a,bool),fun(X_a,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_a,bool),fun(X_a,fun(bool,bool))),combb(bool,fun(bool,bool),X_a),fconj),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2)))),hAPP(fun(X_a,bool),fun(X_a,bool),hAPP(fun(X_a,fun(fun(X_a,bool),bool)),fun(fun(X_a,bool),fun(X_a,bool)),combc(X_a,fun(X_a,bool),bool),member(X_a)),A_2))),$f308(X_a,A_2,R_1)))| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),hAPP(X_a,product_prod(X_a,X_a),hAPP(X_a,fun(X_a,product_prod(X_a,X_a)),product_Pair(X_a,X_a),$f309(X_a,A_2,R_1)),$f309(X_a,A_2,R_1))),R_1)).
% 61.46/61.09 0 [] Xs_1!=Ys|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_a),nat,size_size(list(X_a)),Ys).
% 61.46/61.09 0 [] Xs_1!=Ys| -hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),X_2),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Ys))))|hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),fe_qual(X_a)),X_2)).
% 61.46/61.09 0 [] Xs_1=Ys|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)|hBOOL(hAPP(fun(product_prod(X_a,X_a),bool),bool,hAPP(product_prod(X_a,X_a),fun(fun(product_prod(X_a,X_a),bool),bool),member(product_prod(X_a,X_a)),$f310(X_a,Xs_1,Ys)),hAPP(list(product_prod(X_a,X_a)),fun(product_prod(X_a,X_a),bool),set(product_prod(X_a,X_a)),hAPP(list(X_a),list(product_prod(X_a,X_a)),hAPP(list(X_a),fun(list(X_a),list(product_prod(X_a,X_a))),zip(X_a,X_a),Xs_1),Ys)))).
% 61.46/61.09 0 [] Xs_1=Ys|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)| -hBOOL(hAPP(product_prod(X_a,X_a),bool,hAPP(fun(X_a,fun(X_a,bool)),fun(product_prod(X_a,X_a),bool),product_prod_case(X_a,X_a,bool),fe_qual(X_a)),$f310(X_a,Xs_1,Ys))).
% 61.46/61.09 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys).
% 61.46/61.09 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))| -hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),X_2),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys))))|hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Pa),X_2)).
% 61.46/61.09 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)|hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),$f311(X_b,X_a,Pa,Xs_1,Ys)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Xs_1),Ys)))).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)| -hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Pa),$f311(X_b,X_a,Pa,Xs_1,Ys))).
% 61.46/61.10 0 [] hAPP(list(fun(X_a,bool)),fun(list(X_a),bool),listset(X_a),hAPP(list(fun(X_a,bool)),list(fun(X_a,bool)),hAPP(fun(X_a,bool),fun(list(fun(X_a,bool)),list(fun(X_a,bool))),cons(fun(X_a,bool)),A_2),As_1))=hAPP(fun(list(X_a),bool),fun(list(X_a),bool),hAPP(fun(X_a,bool),fun(fun(list(X_a),bool),fun(list(X_a),bool)),set_Cons(X_a),A_2),hAPP(list(fun(X_a,bool)),fun(list(X_a),bool),listset(X_a),As_1)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Aa),Ba))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Ca),D))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Aa),Ca)),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ba),D))).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),nil(X_a)),Ys))|Ys=nil(X_b).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),nil(X_a)),Ys))|Ys!=nil(X_b).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),nil(X_b)))|Xs_1=nil(X_a).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),nil(X_b)))|Xs_1!=nil(X_a).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys)).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),As),Bs))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N_2),As)),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),drop(X_b),N_2),Bs))).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)),hAPP(list(X_b),list(X_b),rev(X_b),Ys)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys)).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)),hAPP(list(X_b),list(X_b),rev(X_b),Ys)))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)),Ys))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),rev(X_b),Ys))).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),rev(X_a),Xs_1)),Ys))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),rev(X_b),Ys))).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N_2),Xs_1)),hAPP(list(X_b),list(X_b),hAPP(nat,fun(list(X_b),list(X_b)),take(X_b),N_2),Ys))).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys).
% 61.46/61.10 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us_1)),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Vs_1)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys)).
% 61.46/61.10 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us_1)),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Vs_1)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Us_1),Vs_1)).
% 61.46/61.10 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Us_1)),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Vs_1)))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Us_1),Vs_1)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)=hAPP(list(X_b),nat,size_size(list(X_b)),Ys).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),I)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys),I))).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f312(X_b,X_a,Pa,Xs_1,Ys)),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1))).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))|hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),$f312(X_b,X_a,Pa,Xs_1,Ys))),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys),$f312(X_b,X_a,Pa,Xs_1,Ys)))).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),P_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),P_1)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys),P_1))).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),P_1),hAPP(list(X_b),nat,size_size(list(X_b)),Ys)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs_1),P_1)),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ys),P_1))).
% 61.46/61.10 0 [] Xs_1!=Ys|hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),list_all2(X_a,X_a),fe_qual(X_a)),Xs_1),Ys)).
% 61.46/61.10 0 [] Xs_1=Ys| -hBOOL(hAPP(list(X_a),bool,hAPP(list(X_a),fun(list(X_a),bool),hAPP(fun(X_a,fun(X_a,bool)),fun(list(X_a),fun(list(X_a),bool)),list_all2(X_a,X_a),fe_qual(X_a)),Xs_1),Ys)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_b),nat,size_size(list(X_b)),Ys)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1)),hAPP(X_b,list(X_b),hAPP(nat,fun(X_b,list(X_b)),hAPP(list(X_b),fun(nat,fun(X_b,list(X_b))),list_update(X_b),Ys),I_1),Y_1))).
% 61.46/61.10 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Ys))| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Y_1))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs_1),I_1),X_1)),hAPP(X_b,list(X_b),hAPP(nat,fun(X_b,list(X_b)),hAPP(list(X_b),fun(nat,fun(X_b,list(X_b))),list_update(X_b),Ys),I_1),Y_1))).
% 61.46/61.10 0 [] hBOOL(hAPP(fun(product_prod(X_a,X_b),bool),bool,hAPP(product_prod(X_a,X_b),fun(fun(product_prod(X_a,X_b),bool),bool),member(product_prod(X_a,X_b)),$f313(X_a,X_b,Pa,Aa,Ba)),hAPP(list(product_prod(X_a,X_b)),fun(product_prod(X_a,X_b),bool),set(product_prod(X_a,X_b)),hAPP(list(X_b),list(product_prod(X_a,X_b)),hAPP(list(X_a),fun(list(X_b),list(product_prod(X_a,X_b))),zip(X_a,X_b),Aa),Ba))))|hAPP(list(X_a),nat,size_size(list(X_a)),Aa)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ba)|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Aa),Ba)).
% 61.46/61.10 0 [] -hBOOL(hAPP(product_prod(X_a,X_b),bool,hAPP(fun(X_a,fun(X_b,bool)),fun(product_prod(X_a,X_b),bool),product_prod_case(X_a,X_b,bool),Pa),$f313(X_a,X_b,Pa,Aa,Ba)))|hAPP(list(X_a),nat,size_size(list(X_a)),Aa)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ba)|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Aa),Ba)).
% 61.46/61.10 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Aa)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ba)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),$f314(X_a,X_b,Pa,Aa,Ba)),hAPP(list(X_a),nat,size_size(list(X_a)),Aa)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Aa),Ba)).
% 61.46/61.10 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),Aa)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ba)| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Aa),$f314(X_a,X_b,Pa,Aa,Ba))),hAPP(nat,X_b,hAPP(list(X_b),fun(nat,X_b),nth(X_b),Ba),$f314(X_a,X_b,Pa,Aa,Ba))))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Aa),Ba)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Zs_1)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),$f316(X_b,X_a,Pa,Xs_1,Ys,Zs_1)),$f315(X_b,X_a,Pa,Xs_1,Ys,Zs_1)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Zs_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),$f316(X_b,X_a,Pa,Xs_1,Ys,Zs_1))=hAPP(list(X_b),nat,size_size(list(X_b)),Ys).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Zs_1)))|hAPP(list(X_a),nat,size_size(list(X_a)),$f315(X_b,X_a,Pa,Xs_1,Ys,Zs_1))=hAPP(list(X_b),nat,size_size(list(X_b)),Zs_1).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Zs_1)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),$f316(X_b,X_a,Pa,Xs_1,Ys,Zs_1)),Ys)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Zs_1)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),$f315(X_b,X_a,Pa,Xs_1,Ys,Zs_1)),Zs_1)).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Ys),Zs_1)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Us),Vs)|hAPP(list(X_a),nat,size_size(list(X_a)),Us)!=hAPP(list(X_b),nat,size_size(list(X_b)),Ys)|hAPP(list(X_a),nat,size_size(list(X_a)),Vs)!=hAPP(list(X_b),nat,size_size(list(X_b)),Zs_1)| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Us),Ys))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Vs),Zs_1)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)),Zs_1))|Zs_1=hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),$f318(X_b,X_a,Pa,Xs_1,Ys,Zs_1)),$f317(X_b,X_a,Pa,Xs_1,Ys,Zs_1)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)),Zs_1))|hAPP(list(X_b),nat,size_size(list(X_b)),$f318(X_b,X_a,Pa,Xs_1,Ys,Zs_1))=hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)),Zs_1))|hAPP(list(X_b),nat,size_size(list(X_b)),$f317(X_b,X_a,Pa,Xs_1,Ys,Zs_1))=hAPP(list(X_a),nat,size_size(list(X_a)),Ys).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)),Zs_1))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),$f318(X_b,X_a,Pa,Xs_1,Ys,Zs_1))).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)),Zs_1))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Ys),$f317(X_b,X_a,Pa,Xs_1,Ys,Zs_1))).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(list(X_a),fun(list(X_a),list(X_a)),append(X_a),Xs_1),Ys)),Zs_1))|Zs_1!=hAPP(list(X_b),list(X_b),hAPP(list(X_b),fun(list(X_b),list(X_b)),append(X_b),Us),Vs)|hAPP(list(X_b),nat,size_size(list(X_b)),Us)!=hAPP(list(X_a),nat,size_size(list(X_a)),Xs_1)|hAPP(list(X_b),nat,size_size(list(X_b)),Vs)!=hAPP(list(X_a),nat,size_size(list(X_a)),Ys)| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Us))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Ys),Vs)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))|Xs_1=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),$f320(X_b,X_a,Pa,Xs_1,Y_1,Ys)),$f319(X_b,X_a,Pa,Xs_1,Y_1,Ys)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,$f320(X_b,X_a,Pa,Xs_1,Y_1,Ys)),Y_1)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),$f319(X_b,X_a,Pa,Xs_1,Y_1,Ys)),Ys)).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Y_1),Ys)))|Xs_1!=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),Z),Zs)| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,Z),Y_1))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Zs),Ys)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys))|Ys=hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),$f322(X_b,X_a,Pa,X_1,Xs_1,Ys)),$f321(X_b,X_a,Pa,X_1,Xs_1,Ys)).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys))|hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),$f322(X_b,X_a,Pa,X_1,Xs_1,Ys))).
% 61.46/61.10 0 [] -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys))|hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),$f321(X_b,X_a,Pa,X_1,Xs_1,Ys))).
% 61.46/61.10 0 [] hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X_1),Xs_1)),Ys))|Ys!=hAPP(list(X_b),list(X_b),hAPP(X_b,fun(list(X_b),list(X_b)),cons(X_b),Z),Zs)| -hBOOL(hAPP(X_b,bool,hAPP(X_a,fun(X_b,bool),Pa,X_1),Z))| -hBOOL(hAPP(list(X_b),bool,hAPP(list(X_a),fun(list(X_b),bool),hAPP(fun(X_a,fun(X_b,bool)),fun(list(X_a),fun(list(X_b),bool)),list_all2(X_a,X_b),Pa),Xs_1),Zs)).
% 61.46/61.10 0 [] Xs=nil(X_a)|K!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))|hAPP(list(X_a),X_a,last(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),K),X))=ti(X_a,X).
% 61.46/61.10 0 [] Xs=nil(X_a)|K=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))|hAPP(list(X_a),X_a,last(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),K),X))=hAPP(list(X_a),X_a,last(X_a),Xs).
% 61.46/61.10 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),N),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)))|hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))),Xs).
% 61.46/61.10 0 [] -linordered_semidom(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),one_one(X_a)))).
% 61.46/61.10 0 [] -linordered_semidom(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),one_one(X_a)),zero_zero(X_a))).
% 61.46/61.10 0 [] -linordered_semidom(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_e_q(X_a),zero_zero(X_a)),one_one(X_a))).
% 61.46/61.10 0 [] -zero_ne_q_one(X_a)|zero_zero(X_a)!=one_one(X_a).
% 61.46/61.10 0 [] -zero_ne_q_one(X_a)|one_one(X_a)!=zero_zero(X_a).
% 61.46/61.10 0 [] -linordered_semidom(X_a)| -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),one_one(X_a)),zero_zero(X_a))).
% 61.46/61.10 0 [] -linordered_semidom(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),one_one(X_a))).
% 61.46/61.10 0 [] -linordered_semidom(X_a)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),one_one(X_a)),one_one(X_a)))).
% 61.46/61.10 0 [] one_one(nat)=hAPP(nat,nat,suc,zero_zero(nat)).
% 61.46/61.10 0 [] -one(X_a)|one_one(X_a)!=ti(X_a,X_1)|ti(X_a,X_1)=one_one(X_a).
% 61.46/61.10 0 [] -one(X_a)|one_one(X_a)=ti(X_a,X_1)|ti(X_a,X_1)!=one_one(X_a).
% 61.46/61.10 0 [] hAPP(nat,nat,suc,N)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),one_one(nat)).
% 61.46/61.10 0 [] hAPP(nat,nat,suc,N)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),N).
% 61.46/61.10 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,N)),one_one(nat))=N.
% 61.46/61.10 0 [] hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),hAPP(nat,nat,suc,N))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),one_one(nat))),N).
% 61.46/61.10 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),one_one(nat)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),nil(X_a)).
% 61.46/61.10 0 [] hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),one_one(nat)),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=Xs.
% 61.46/61.10 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),butlast(X_a),Xs))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat)).
% 61.46/61.10 0 [] hAPP(list(X_a),nat,size_size(list(X_a)),hAPP(list(X_a),list(X_a),tl(X_a),Xs))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat)).
% 61.46/61.10 0 [] hAPP(list(X_a),list(X_a),tl(X_a),hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),N),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))),hAPP(list(X_a),list(X_a),tl(X_a),Xs)).
% 61.46/61.10 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_e_q(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat)))|hAPP(list(X_a),list(X_a),rotate1(X_a),Xs)=Xs.
% 61.46/61.10 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))|N=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))).
% 61.46/61.10 0 [] -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))|hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat)))=N.
% 61.46/61.10 0 [] M!=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)=N.
% 61.46/61.10 0 [] M=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),one_one(nat))),N)).
% 61.46/61.10 0 [] N!=zero_zero(nat)|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),N)=ti(X_a,X).
% 61.46/61.10 0 [] N=zero_zero(nat)|hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs)),N)=hAPP(nat,X_a,hAPP(list(X_a),fun(nat,X_a),nth(X_a),Xs),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))).
% 61.46/61.10 0 [] N!=zero_zero(nat)|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs).
% 61.46/61.10 0 [] N=zero_zero(nat)|hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),N),hAPP(list(X_a),list(X_a),hAPP(X_a,fun(list(X_a),list(X_a)),cons(X_a),X),Xs))=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),drop(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))),Xs).
% 61.46/61.10 0 [] hAPP(list(X_a),list(X_a),butlast(X_a),Xs)=hAPP(list(X_a),list(X_a),hAPP(nat,fun(list(X_a),list(X_a)),take(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))),Xs).
% 61.46/61.10 0 [] K!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))|hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),K),X))=hAPP(list(X_a),list(X_a),butlast(X_a),Xs).
% 61.46/61.10 0 [] K=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(list(X_a),nat,size_size(list(X_a)),Xs)),one_one(nat))|hAPP(list(X_a),list(X_a),butlast(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),Xs),K),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),hAPP(list(X_a),fun(nat,fun(X_a,list(X_a))),list_update(X_a),hAPP(list(X_a),list(X_a),butlast(X_a),Xs)),K),X).
% 61.46/61.10 0 [] N=zero_zero(nat)|hAPP(list(X_a),list(X_a),tl(X_a),hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),N),X))=hAPP(X_a,list(X_a),hAPP(nat,fun(X_a,list(X_a)),replicate(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))),X).
% 61.46/61.10 0 [] -enum(T_1)| -enum(T_2)|enum(product_prod(T_2,T_1)).
% 61.46/61.10 0 [] enum(bool).
% 61.46/61.10 0 [] -enum(T_1)| -enum(T_2)|enum(fun(T_2,T_1)).
% 61.46/61.10 0 [] -preorder(T_1)|preorder(fun(T_2,T_1)).
% 61.46/61.10 0 [] -order(T_1)|order(fun(T_2,T_1)).
% 61.46/61.10 0 [] -top(T_1)|top(fun(T_2,T_1)).
% 61.46/61.10 0 [] -ord(T_1)|ord(fun(T_2,T_1)).
% 61.46/61.10 0 [] -minus(T_1)|minus(fun(T_2,T_1)).
% 61.46/61.10 0 [] -cl_HOL_Oe_qual(T_1)| -enum(T_2)|cl_HOL_Oe_qual(fun(T_2,T_1)).
% 61.46/61.10 0 [] semiri456707255roduct(nat).
% 61.46/61.10 0 [] ordere223160158up_add(nat).
% 61.46/61.10 0 [] ordere236663937imp_le(nat).
% 61.46/61.10 0 [] ordere779506340up_add(nat).
% 61.46/61.10 0 [] ordere216010020id_add(nat).
% 61.46/61.10 0 [] cancel146912293up_add(nat).
% 61.46/61.10 0 [] cancel_semigroup_add(nat).
% 61.46/61.10 0 [] linordered_semidom(nat).
% 61.46/61.10 0 [] ab_semigroup_add(nat).
% 61.46/61.10 0 [] comm_monoid_add(nat).
% 61.46/61.10 0 [] comm_semiring_1(nat).
% 61.46/61.10 0 [] zero_ne_q_one(nat).
% 61.46/61.10 0 [] preorder(nat).
% 61.46/61.10 0 [] linorder(nat).
% 61.46/61.10 0 [] monoid_add(nat).
% 61.46/61.10 0 [] order(nat).
% 61.46/61.10 0 [] ord(nat).
% 61.46/61.10 0 [] minus(nat).
% 61.46/61.10 0 [] zero(nat).
% 61.46/61.10 0 [] one(nat).
% 61.46/61.10 0 [] cl_HOL_Oe_qual(nat).
% 61.46/61.10 0 [] preorder(bool).
% 61.46/61.10 0 [] order(bool).
% 61.46/61.10 0 [] top(bool).
% 61.46/61.10 0 [] ord(bool).
% 61.46/61.10 0 [] minus(bool).
% 61.46/61.10 0 [] cl_HOL_Oe_qual(bool).
% 61.46/61.10 0 [] cl_HOL_Oe_qual(list(T_1)).
% 61.46/61.10 0 [] cl_HOL_Oe_qual(product_prod(T_2,T_1)).
% 61.46/61.10 0 [] ti(T,ti(T,A))=ti(T,A).
% 61.46/61.10 0 [] hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),hAPP(bool,fun(X_a,fun(X_a,X_a)),if(X_a),fTrue),X),Y)=ti(X_a,X).
% 61.46/61.10 0 [] hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),hAPP(bool,fun(X_a,fun(X_a,X_a)),if(X_a),fFalse),X),Y)=ti(X_a,Y).
% 61.46/61.10 0 [] ti(bool,P)=fTrue|ti(bool,P)=fFalse.
% 61.46/61.10 0 [] -hBOOL(hAPP(X_a,bool,P,X))|hBOOL(hAPP(fun(X_a,bool),bool,fEx(X_a),P)).
% 61.46/61.10 0 [] -hBOOL(hAPP(bool,bool,fNot,P))| -hBOOL(P).
% 61.46/61.10 0 [] hBOOL(P)|hBOOL(hAPP(bool,bool,fNot,P)).
% 61.46/61.10 0 [] hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c)),combb(X_b,X_c,X_a),P),Q),R)=hAPP(X_b,X_c,P,hAPP(X_a,X_b,Q,R)).
% 61.46/61.10 0 [] hAPP(X_a,X_c,hAPP(X_b,fun(X_a,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(X_b,fun(X_a,X_c)),combc(X_a,X_b,X_c),P),Q),R)=hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),Q).
% 61.46/61.10 0 [] hAPP(X_a,X_a,combi(X_a),P)=ti(X_a,P).
% 61.46/61.10 0 [] hAPP(X_b,X_a,hAPP(X_a,fun(X_b,X_a),combk(X_a,X_b),P),Q)=ti(X_a,P).
% 61.46/61.10 0 [] hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c)),combs(X_a,X_b,X_c),P),Q),R)=hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),hAPP(X_a,X_b,Q,R)).
% 61.46/61.10 0 [] hBOOL(fTrue).
% 61.46/61.10 0 [] ti(bool,P)=fTrue|ti(bool,P)=fFalse.
% 61.46/61.10 0 [] -hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)).
% 61.46/61.10 0 [] -hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))|hBOOL(P).
% 61.46/61.10 0 [] -hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))|hBOOL(Q).
% 61.46/61.10 0 [] -hBOOL(P)|hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)).
% 61.46/61.10 0 [] -hBOOL(Q)|hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)).
% 61.46/61.10 0 [] -hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q))|hBOOL(P)|hBOOL(Q).
% 61.46/61.10 0 [] -hBOOL(fFalse).
% 61.46/61.10 0 [] ti(bool,P)=fTrue|ti(bool,P)=fFalse.
% 61.46/61.10 0 [] -hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fe_qual(X_a),X),Y))|ti(X_a,X)=ti(X_a,Y).
% 61.46/61.10 0 [] ti(X_a,X)!=ti(X_a,Y)|hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fe_qual(X_a),X),Y)).
% 61.46/61.10 0 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,$c6)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),c)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,$c6)),c),b))).
% 61.46/61.10 0 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,$c6)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),c)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,$c6)),c),b))).
% 61.46/61.10 end_of_list.
% 61.46/61.10
% 61.46/61.10 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 61.46/61.10
% 61.46/61.10 This ia a non-Horn set with equality. The strategy will be
% 61.46/61.10 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 61.46/61.10 deletion, with positive clauses in sos and nonpositive
% 61.46/61.10 clauses in usable.
% 61.46/61.10
% 61.46/61.10 dependent: set(knuth_bendix).
% 61.46/61.10 dependent: set(anl_eq).
% 61.46/61.10 dependent: set(para_from).
% 61.46/61.10 dependent: set(para_into).
% 61.46/61.10 dependent: clear(para_from_right).
% 61.46/61.10 dependent: clear(para_into_right).
% 61.46/61.10 dependent: set(para_from_vars).
% 61.46/61.10 dependent: set(eq_units_both_ways).
% 61.46/61.10 dependent: set(dynamic_demod_all).
% 61.46/61.10 dependent: set(dynamic_demod).
% 61.46/61.10 dependent: set(order_eq).
% 61.46/61.10 dependent: set(back_demod).
% 61.46/61.10 dependent: set(lrpo).
% 61.46/61.10 dependent: set(hyper_res).
% 61.46/61.10 dependent: set(unit_deletion).
% 61.46/61.10 dependent: set(factor).
% 61.46/61.10
% 61.46/61.10 ------------> process usable:
% 61.46/61.10 ** KEPT (pick-wt=13): 1 [] -minus(A)|ti(fun(A,fun(A,A)),minus_minus(A))=minus_minus(A).
% 61.46/61.10 ** KEPT (pick-wt=9): 2 [] -one(A)|ti(A,one_one(A))=one_one(A).
% 61.46/61.10 ** KEPT (pick-wt=13): 3 [] -monoid_add(A)|ti(fun(A,fun(A,A)),plus_plus(A))=plus_plus(A).
% 61.46/61.10 ** KEPT (pick-wt=13): 4 [] -ab_semigroup_add(A)|ti(fun(A,fun(A,A)),plus_plus(A))=plus_plus(A).
% 61.46/61.10 ** KEPT (pick-wt=13): 5 [] -cancel_semigroup_add(A)|ti(fun(A,fun(A,A)),plus_plus(A))=plus_plus(A).
% 61.46/61.10 ** KEPT (pick-wt=9): 6 [] -zero(A)|ti(A,zero_zero(A))=zero_zero(A).
% 61.46/61.10 ** KEPT (pick-wt=13): 7 [] -cl_HOL_Oe_qual(A)|ti(fun(A,fun(A,bool)),e_qual_e_qual(A))=e_qual_e_qual(A).
% 61.46/61.10 ** KEPT (pick-wt=12): 8 [] -linorder(A)|ti(fun(list(A),bool),linorder_sorted(A))=linorder_sorted(A).
% 61.46/61.10 ** KEPT (pick-wt=19): 9 [] -ord(A)|ti(fun(fun(A,fun(A,bool)),fun(A,fun(A,A))),min(A))=min(A).
% 61.46/61.10 ** KEPT (pick-wt=13): 10 [] -ord(A)|ti(fun(A,fun(A,bool)),ord_less(A))=ord_less(A).
% 61.46/61.10 ** KEPT (pick-wt=13): 11 [] -ord(A)|ti(fun(A,fun(A,bool)),ord_less_e_q(A))=ord_less_e_q(A).
% 61.46/61.10 ** KEPT (pick-wt=13): 12 [] -ord(A)|ti(fun(A,fun(A,A)),ord_min(A))=ord_min(A).
% 61.46/61.10 ** KEPT (pick-wt=9): 13 [] -top(A)|ti(A,top_top(A))=top_top(A).
% 61.46/61.10 ** KEPT (pick-wt=6): 14 [] -hBOOL(ti(bool,A))|hBOOL(A).
% 61.46/61.10 ** KEPT (pick-wt=6): 15 [] hBOOL(ti(bool,A))| -hBOOL(A).
% 61.46/61.10 ** KEPT (pick-wt=3): 17 [copy,16,flip.1] b!=a.
% 61.46/61.10 ** KEPT (pick-wt=98): 18 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),b),a)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p_1,A))).
% 61.46/61.10 ** KEPT (pick-wt=98): 19 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),b),a)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p_1,A))).
% 61.46/61.10 ** KEPT (pick-wt=70): 20 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,C),D)))|ti(arrow_2142409994le_alt,B)!=ti(arrow_2142409994le_alt,D).
% 61.46/61.10 ** KEPT (pick-wt=77): 21 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,C),D)))|ti(arrow_2142409994le_alt,A)!=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)!=ti(arrow_2142409994le_alt,B).
% 61.46/61.10 ** KEPT (pick-wt=111): 22 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,C),D)))|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),C)).
% 61.46/61.10 ** KEPT (pick-wt=118): 23 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,C),D)))|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),C)).
% 61.46/61.10 ** KEPT (pick-wt=84): 24 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,C),D)))|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,A)!=ti(arrow_2142409994le_alt,D).
% 61.46/61.10 ** KEPT (pick-wt=118): 25 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,C),D)))|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),C)).
% 61.46/61.10 ** KEPT (pick-wt=70): 26 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,C),D)))|ti(arrow_2142409994le_alt,A)!=ti(arrow_2142409994le_alt,D).
% 61.46/61.10 ** KEPT (pick-wt=77): 27 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,C),D)))|ti(arrow_2142409994le_alt,B)!=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)!=ti(arrow_2142409994le_alt,B).
% 61.46/61.10 ** KEPT (pick-wt=111): 28 [] -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,C),D)))|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,D)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),C)).
% 61.46/61.10 ** KEPT (pick-wt=118): 29 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,C),D)))|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,D)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),C)).
% 61.46/61.10 ** KEPT (pick-wt=84): 30 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,C),D)))|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,B)!=ti(arrow_2142409994le_alt,D).
% 61.46/61.10 ** KEPT (pick-wt=118): 31 [] hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,C),D)))|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),C)).
% 61.46/61.10 ** KEPT (pick-wt=122): 32 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,E).
% 61.46/61.10 ** KEPT (pick-wt=163): 33 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,A)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),B)),C)).
% 61.46/61.10 ** KEPT (pick-wt=177): 34 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,A)|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A)|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,B)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),B),E)),C)).
% 61.46/61.10 ** KEPT (pick-wt=170): 35 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,A)|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,A)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.10 ** KEPT (pick-wt=177): 36 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,A)|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,A)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.10 ** KEPT (pick-wt=143): 37 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,A)|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A).
% 61.46/61.10 ** KEPT (pick-wt=177): 38 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,A)|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.10 ** KEPT (pick-wt=177): 39 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,A)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),B),E)),C))|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A).
% 61.46/61.10 ** KEPT (pick-wt=211): 40 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,A)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),B),E)),C))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.10 ** KEPT (pick-wt=170): 41 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),B)),C))|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,A).
% 61.46/61.10 ** KEPT (pick-wt=211): 42 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),B)),C))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,A)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.10 ** KEPT (pick-wt=177): 43 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),B)),C))|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A).
% 61.46/61.10 ** KEPT (pick-wt=211): 44 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),B)),C))|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.11 ** KEPT (pick-wt=211): 45 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),B)),C))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),B),E)),C))|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A).
% 61.46/61.11 ** KEPT (pick-wt=245): 46 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),B)),C))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),B),E)),C))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.11 ** KEPT (pick-wt=35): 47 [] -hBOOL(hAPP(product_prod(A,B),bool,C,$f1(A,B,C)))|hBOOL(hAPP(product_prod(A,B),bool,C,hAPP(B,product_prod(A,B),hAPP(A,fun(B,product_prod(A,B)),product_Pair(A,B),D),E))).
% 61.46/61.11 ** KEPT (pick-wt=38): 48 [] hBOOL(hAPP(product_prod(A,B),bool,C,D))| -hBOOL(hAPP(product_prod(A,B),bool,C,hAPP(B,product_prod(A,B),hAPP(A,fun(B,product_prod(A,B)),product_Pair(A,B),$f3(A,B,C)),$f2(A,B,C)))).
% 61.46/61.11 ** KEPT (pick-wt=42): 49 [] hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)!=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(B,C)=ti(B,E).
% 61.46/61.11 ** KEPT (pick-wt=42): 50 [] hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)!=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(A,D)=ti(A,F).
% 61.46/61.11 ** KEPT (pick-wt=49): 51 [] hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(B,C)!=ti(B,E)|ti(A,D)!=ti(A,F).
% 61.46/61.11 Following clause subsumed by 49 during input processing: 0 [] hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)!=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(B,C)=ti(B,E).
% 61.46/61.11 Following clause subsumed by 50 during input processing: 0 [] hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)!=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(A,D)=ti(A,F).
% 61.46/61.11 ** KEPT (pick-wt=67): 52 [] -hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),hAPP(fun(product_prod(B,A),bool),fun(B,fun(A,bool)),in_rel(B,A),C),D),E))|hBOOL(hAPP(fun(product_prod(B,A),bool),bool,hAPP(product_prod(B,A),fun(fun(product_prod(B,A),bool),bool),member(product_prod(B,A)),hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),D),E)),C)).
% 61.46/61.11 ** KEPT (pick-wt=67): 53 [] hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),hAPP(fun(product_prod(B,A),bool),fun(B,fun(A,bool)),in_rel(B,A),C),D),E))| -hBOOL(hAPP(fun(product_prod(B,A),bool),bool,hAPP(product_prod(B,A),fun(fun(product_prod(B,A),bool),bool),member(product_prod(B,A)),hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),D),E)),C)).
% 61.46/61.11 ** KEPT (pick-wt=107): 54 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_1665824030_below,C),A),B)),arrow_1568854078le_Lin)).
% 61.46/61.11 ** KEPT (pick-wt=330): 55 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,C)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,C)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),E),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),F),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),E,$f4(F,E,C,D,A,B))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),F,$f4(F,E,C,D,A,B))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,E)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,F))).
% 61.46/61.11 ** KEPT (pick-wt=330): 56 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,C)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,C)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),E),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),F),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),E,$f4(F,E,C,D,A,B))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),F,$f4(F,E,C,D,A,B))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,E)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,F))).
% 61.46/61.11 ** KEPT (pick-wt=330): 57 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,C)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,C)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),E),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),F),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),E,$f5(F,E,C,D,A,B))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),F,$f5(F,E,C,D,A,B))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,E)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,F))).
% 61.46/61.11 ** KEPT (pick-wt=330): 58 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,C)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,C)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),E),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),F),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),E,$f5(F,E,C,D,A,B))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),F,$f5(F,E,C,D,A,B))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,E)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,F))).
% 61.46/61.11 ** KEPT (pick-wt=330): 59 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,C)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,C)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),E),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),F),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),E,$f5(F,E,C,D,A,B))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),F,$f5(F,E,C,D,A,B))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,E)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,F))).
% 61.46/61.11 ** KEPT (pick-wt=330): 60 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,C)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,D)|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,C)| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),E),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),F),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),E,$f5(F,E,C,D,A,B))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),F,$f5(F,E,C,D,A,B))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),B)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,E)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),f,F))).
% 61.46/61.11 ** KEPT (pick-wt=94): 61 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),A),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),combk(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),arrow_1998540521e_indi),A)),arrow_301600364e_Prof)).
% 61.46/61.11 ** KEPT (pick-wt=88): 62 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),A),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,A),B)),arrow_1568854078le_Lin)).
% 61.46/61.11 ** KEPT (pick-wt=88): 63 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),A),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,A),B)),arrow_1568854078le_Lin)).
% 61.46/61.11 ** KEPT (pick-wt=115): 64 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),A),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),B),C)),A))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),B)),A)).
% 61.46/61.11 ** KEPT (pick-wt=122): 65 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),A),arrow_1568854078le_Lin))|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,C)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),B),C)),A))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),B)),A)).
% 61.46/61.11 Following clause subsumed by 64 during input processing: 0 [] -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),A),arrow_1568854078le_Lin))|ti(arrow_2142409994le_alt,B)=ti(arrow_2142409994le_alt,C)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),B),C)),A))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),B)),A)).
% 61.46/61.11 ** KEPT (pick-wt=318): 66 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,A))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),B),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),C),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),B,$f7(A,B,C,D,E))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),C,$f7(A,B,C,D,E))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,B)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,C))).
% 61.46/61.11 ** KEPT (pick-wt=318): 67 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,A))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),B),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),C),arrow_301600364e_Prof))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),B,$f7(A,B,C,D,E))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),C,$f7(A,B,C,D,E))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,B)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,C))).
% 61.46/61.11 ** KEPT (pick-wt=318): 68 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,A))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),B),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),C),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),B,$f7(A,B,C,D,E))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),C,$f7(A,B,C,D,E))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,B)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,C))).
% 61.46/61.11 ** KEPT (pick-wt=318): 69 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,A))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),B),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),C),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),B,$f7(A,B,C,D,E))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),C,$f7(A,B,C,D,E))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,B)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,C))).
% 61.46/61.11 ** KEPT (pick-wt=122): 70 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,A))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(A)),$f8(A))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f11(A),B)))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(A)),$f8(A))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f10(A),B))).
% 61.46/61.11 ** KEPT (pick-wt=122): 71 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,A))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(A)),$f8(A))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f11(A),B)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(A)),$f8(A))),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f10(A),B))).
% 61.46/61.11 ** KEPT (pick-wt=134): 72 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1541970350le_IIA,A))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(A)),$f8(A))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,$f11(A))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f9(A)),$f8(A))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,$f10(A)))).
% 61.46/61.11 ** KEPT (pick-wt=167): 73 [] -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,A))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),B),arrow_301600364e_Prof))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),B,$f12(A,B,C,D))))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),C),D)),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,B))).
% 61.46/61.11 ** KEPT (pick-wt=76): 74 [] hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool,arrow_1066301521nimity,A))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),$f14(A)),$f13(A))),hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,$f15(A)))).
% 61.46/61.11 ** KEPT (pick-wt=122): 75 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,E).
% 61.46/61.11 ** KEPT (pick-wt=163): 76 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,B)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),E)),C)).
% 61.46/61.12 ** KEPT (pick-wt=177): 77 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,A)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),A)),C)).
% 61.46/61.12 ** KEPT (pick-wt=170): 78 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,B)|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.12 ** KEPT (pick-wt=177): 79 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.12 ** KEPT (pick-wt=143): 80 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A)|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B).
% 61.46/61.12 ** KEPT (pick-wt=177): 81 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,B)|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.12 ** KEPT (pick-wt=177): 82 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),A)),C))|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B).
% 61.46/61.12 ** KEPT (pick-wt=211): 83 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),A)),C))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.12 ** KEPT (pick-wt=170): 84 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),E)),C))|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,B).
% 61.46/61.12 ** KEPT (pick-wt=211): 85 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),E)),C))|ti(arrow_2142409994le_alt,E)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.12 ** KEPT (pick-wt=177): 86 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),E)),C))|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A)|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B).
% 61.46/61.12 ** KEPT (pick-wt=211): 87 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),E)),C))|ti(arrow_2142409994le_alt,D)!=ti(arrow_2142409994le_alt,A)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.12 ** KEPT (pick-wt=211): 88 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),E)),C))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),A)),C))|ti(arrow_2142409994le_alt,E)!=ti(arrow_2142409994le_alt,B).
% 61.46/61.12 ** KEPT (pick-wt=245): 89 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)))|ti(arrow_2142409994le_alt,D)=ti(arrow_2142409994le_alt,E)| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),A),E)),C))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),A)),C))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),D),E)),C)).
% 61.46/61.12 ** KEPT (pick-wt=19): 90 [] nil(A)!=hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C).
% 61.46/61.12 ** KEPT (pick-wt=19): 91 [] hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C)!=nil(A).
% 61.46/61.12 ** KEPT (pick-wt=90): 92 [] -hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,A),B))| -hBOOL(hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool,hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),bool),bool),member(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),C),arrow_301600364e_Prof))|hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,C)=hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),C,B).
% 61.46/61.12 ** KEPT (pick-wt=53): 93 [] hBOOL(hAPP(arrow_1998540521e_indi,bool,hAPP(fun(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(arrow_1998540521e_indi,bool),arrow_708804735ctator,A),B))|hAPP(fun(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),A,$f17(A,B))!=hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),$f17(A,B),B).
% 61.46/61.12 ** KEPT (pick-wt=40): 94 [] hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C)!=hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),D),E)|ti(A,B)=ti(A,D).
% 61.46/61.12 ** KEPT (pick-wt=36): 95 [] hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C)!=hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),D),E)|C=E.
% 61.46/61.12 ** KEPT (pick-wt=43): 96 [] hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C)=hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),D),E)|ti(A,B)!=ti(A,D)|C!=E.
% 61.46/61.12 ** KEPT (pick-wt=18): 97 [] hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C)!=C.
% 61.46/61.12 Following clause subsumed by 97 during input processing: 0 [flip.1] hAPP(list(B),list(B),hAPP(B,fun(list(B),list(B)),cons(B),C),A)!=A.
% 61.46/61.12 ** KEPT (pick-wt=107): 98 [] ti(arrow_2142409994le_alt,A)=ti(arrow_2142409994le_alt,B)| -hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),C),arrow_1568854078le_Lin))|hBOOL(hAPP(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),bool),member(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,f
% 61.46/61.12 Search stopped in tp_alloc by max_mem option.
% 61.46/61.12 un(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,C),A),B)),arrow_1568854078le_Lin)).
% 61.46/61.12
% 61.46/61.12 Search stopped in tp_alloc by max_mem option.
% 61.46/61.12
% 61.46/61.12 ============ end of search ============
% 61.46/61.12
% 61.46/61.12 -------------- statistics -------------
% 61.46/61.12 clauses given 0
% 61.46/61.12 clauses generated 0
% 61.46/61.12 clauses kept 97
% 61.46/61.12 clauses forward subsumed 4
% 61.46/61.12 clauses back subsumed 0
% 61.46/61.12 Kbytes malloced 11718
% 61.46/61.12
% 61.46/61.12 ----------- times (seconds) -----------
% 61.46/61.12 user CPU time 0.40 (0 hr, 0 min, 0 sec)
% 61.46/61.12 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 61.46/61.12 wall-clock time 60 (0 hr, 1 min, 0 sec)
% 61.46/61.12
% 61.46/61.12 Process 25845 finished Wed Jul 27 09:10:17 2022
% 61.46/61.12 Otter interrupted
% 61.46/61.12 PROOF NOT FOUND
%------------------------------------------------------------------------------