TSTP Solution File: SCT169+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT169+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:12:38 EDT 2022
% Result : Unknown 14.03s 13.86s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SCT169+3 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 09:24:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 13.84/13.71 ----- Otter 3.3f, August 2004 -----
% 13.84/13.71 The process was started by sandbox2 on n016.cluster.edu,
% 13.84/13.71 Wed Jul 27 09:24:52 2022
% 13.84/13.71 The command was "./otter". The process ID is 1595.
% 13.84/13.71
% 13.84/13.71 set(prolog_style_variables).
% 13.84/13.71 set(auto).
% 13.84/13.71 dependent: set(auto1).
% 13.84/13.71 dependent: set(process_input).
% 13.84/13.71 dependent: clear(print_kept).
% 13.84/13.71 dependent: clear(print_new_demod).
% 13.84/13.71 dependent: clear(print_back_demod).
% 13.84/13.71 dependent: clear(print_back_sub).
% 13.84/13.71 dependent: set(control_memory).
% 13.84/13.71 dependent: assign(max_mem, 12000).
% 13.84/13.71 dependent: assign(pick_given_ratio, 4).
% 13.84/13.71 dependent: assign(stats_level, 1).
% 13.84/13.71 dependent: assign(max_seconds, 10800).
% 13.84/13.71 clear(print_given).
% 13.84/13.71
% 13.84/13.71 formula_list(usable).
% 13.84/13.71 all A (A=A).
% 13.84/13.71 is_Arr1861959080le_alt(undefi462180727le_alt(arrow_107136085le_alt)).
% 13.84/13.71 is_bool(undefined_bool(bool)).
% 13.84/13.71 is_bool(fFalse).
% 13.84/13.71 is_bool(fTrue).
% 13.84/13.71 all B_1_1 B_2_1 (is_Arr1861959080le_alt(B_2_1)->is_bool(hAPP_A862370221t_bool(B_1_1,B_2_1))).
% 13.84/13.71 all B_1_1 B_2_1 (is_bool(B_2_1)->is_bool(hAPP_bool_bool(B_1_1,B_2_1))).
% 13.84/13.71 all B_1_1 B_2_1 is_Arr1861959080le_alt(hAPP_l1105242632le_alt(B_1_1,B_2_1)).
% 13.84/13.71 all B_1_1 B_2_1 is_bool(hAPP_l1386638586t_bool(B_1_1,B_2_1)).
% 13.84/13.71 all B_1_1 B_2_1 is_bool(hAPP_list_bool_bool(B_1_1,B_2_1)).
% 13.84/13.71 all B_1_1 B_2_1 is_bool(hAPP_list_nat_bool(B_1_1,B_2_1)).
% 13.84/13.71 all B_1_1 B_2_1 is_Arr1861959080le_alt(hAPP_n401316912le_alt(B_1_1,B_2_1)).
% 13.84/13.71 all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 13.84/13.71 all B_1_1 B_2_1 is_bool(hAPP_f2013399995l_bool(B_1_1,B_2_1)).
% 13.84/13.71 all B_1_1 B_2_1 is_bool(hAPP_f387058535l_bool(B_1_1,B_2_1)).
% 13.84/13.71 all B_1_1 B_2_1 is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 13.84/13.71 is_Arr1861959080le_alt(a).
% 13.84/13.71 is_Arr1861959080le_alt(b).
% 13.84/13.71 exists A_74 B_1 C (is_Arr1861959080le_alt(A_74)&is_Arr1861959080le_alt(B_1)&is_Arr1861959080le_alt(C)&hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_74),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),nil_Ar126264853le_alt)))))).
% 13.84/13.71 hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,nil_Ar126264853le_alt)).
% 13.84/13.71 hBOOL(hAPP_list_nat_bool(distinct_nat,nil_nat)).
% 13.84/13.71 all A_84 List_2 (nil_bool!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)).
% 13.84/13.71 all A_85 List_4 (nil_Ar126264853le_alt!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_85),List_4)).
% 13.84/13.71 all A_85 List_4 (nil_nat!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_85),List_4)).
% 13.84/13.71 all A_84 List_2 (hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)!=nil_bool).
% 13.84/13.71 all A_84 List_2 (hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_84),List_2)!=nil_Ar126264853le_alt).
% 13.84/13.71 all A_84 List_2 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_84),List_2)!=nil_nat).
% 13.84/13.71 all Xs (Xs!=nil_bool<-> (exists Y_25 Ys_6 (is_bool(Y_25)&Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)))).
% 13.84/13.71 all Xs (Xs!=nil_Ar126264853le_alt<-> (exists Y_25 Ys_6 (is_Arr1861959080le_alt(Y_25)&Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6)))).
% 13.84/13.71 all Xs (Xs!=nil_nat<-> (exists Y_25 Ys_6 (Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6)))).
% 13.84/13.71 all Y_2 (Y_2!=nil_bool-> -(all A_74 List_3 (is_bool(A_74)->Y_2!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_74),List_3)))).
% 13.84/13.71 all Y_68 (Y_68!=nil_Ar126264853le_alt-> -(all A_74 List_3 (is_Arr1861959080le_alt(A_74)->Y_68!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_74),List_3)))).
% 13.84/13.71 all Y_68 (Y_68!=nil_nat-> -(all A_74 List_3 (Y_68!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_74),List_3)))).
% 13.84/13.71 all Xs X_1 (Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)).
% 13.84/13.71 all Xs_97 X_126 (Xs_97!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_126),Xs_97)).
% 13.84/13.71 all Xs_97 X_126 (Xs_97!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_126),Xs_97)).
% 13.84/13.71 all X_1 Xs (hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)!=Xs).
% 13.84/13.71 all X_125 Xs_96 (hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_125),Xs_96)!=Xs_96).
% 13.84/13.71 all X_125 Xs_96 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_125),Xs_96)!=Xs_96).
% 13.84/13.71 all Aa List_1 A_84 List_2 (hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)<-> (hBOOL(Aa)<->hBOOL(A_84))&List_1=List_2).
% 13.84/13.71 all Aa List_1 A_84 List_2 (is_Arr1861959080le_alt(Aa)&is_Arr1861959080le_alt(A_84)-> (hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Aa),List_1)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_84),List_2)<->Aa=A_84&List_1=List_2)).
% 13.84/13.71 all Aa List_1 A_84 List_2 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),List_1)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_84),List_2)<->Aa=A_84&List_1=List_2).
% 13.84/13.71 all V_1 Va_1 (splice_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,V_1),Va_1),nil_bool)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,V_1),Va_1)).
% 13.84/13.71 all V Va (splice360969192le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,V),Va),nil_Ar126264853le_alt)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,V),Va)).
% 13.84/13.71 all V Va (splice_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,V),Va),nil_nat)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,V),Va)).
% 13.84/13.71 all X_1 (hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,X_1),nil_bool)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)).
% 13.84/13.71 all X_124 (hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_124),nil_Ar126264853le_alt)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_124),nil_Ar126264853le_alt)).
% 13.84/13.71 all X_124 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_124),nil_nat)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_124),nil_nat)).
% 13.84/13.71 all P_1 Xs (Xs!=nil_bool-> ((all X_4 (is_bool(X_4)->hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),nil_bool)))))-> ((all X_4 Xs_19 (is_bool(X_4)-> (Xs_19!=nil_bool-> (hBOOL(hAPP_list_bool_bool(P_1,Xs_19))->hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19)))))))->hBOOL(hAPP_list_bool_bool(P_1,Xs))))).
% 13.84/13.71 all P_1 Xs (Xs!=nil_Ar126264853le_alt-> ((all X_4 (is_Arr1861959080le_alt(X_4)->hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),nil_Ar126264853le_alt)))))-> ((all X_4 Xs_19 (is_Arr1861959080le_alt(X_4)-> (Xs_19!=nil_Ar126264853le_alt-> (hBOOL(hAPP_l1386638586t_bool(P_1,Xs_19))->hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Xs_19)))))))->hBOOL(hAPP_l1386638586t_bool(P_1,Xs))))).
% 13.84/13.71 all P_1 Xs (Xs!=nil_nat-> ((all X_4 hBOOL(hAPP_list_nat_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),nil_nat))))-> ((all X_4 Xs_19 (Xs_19!=nil_nat-> (hBOOL(hAPP_list_nat_bool(P_1,Xs_19))->hBOOL(hAPP_list_nat_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19))))))->hBOOL(hAPP_list_nat_bool(P_1,Xs))))).
% 13.84/13.71 all Xs_95 (Xs_95!=nil_Ar126264853le_alt-> (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_95))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,butlas1262502241le_alt(Xs_95))))).
% 13.84/13.71 all Xs_95 (Xs_95!=nil_nat-> (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_95))->hBOOL(hAPP_list_nat_bool(distinct_nat,butlast_nat(Xs_95))))).
% 13.84/13.71 butlas1262502241le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.84/13.71 butlast_nat(nil_nat)=nil_nat.
% 13.84/13.71 all X_123 Xs_94 (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_94))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_123),Xs_94)))).
% 13.84/13.71 all X_123 Xs_94 (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_94))->hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_123),Xs_94)))).
% 13.84/13.71 all X_1 Xs Y_2 Ys (splice_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),splice_bool(Xs,Ys)))).
% 13.84/13.71 all X_122 Xs_93 Y_67 Ys_31 (splice360969192le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_122),Xs_93),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_67),Ys_31))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_122),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_67),splice360969192le_alt(Xs_93,Ys_31)))).
% 13.84/13.71 all X_122 Xs_93 Y_67 Ys_31 (splice_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_122),Xs_93),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_67),Ys_31))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_122),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_67),splice_nat(Xs_93,Ys_31)))).
% 13.84/13.71 all Xs_92 (splice360969192le_alt(Xs_92,nil_Ar126264853le_alt)=Xs_92).
% 13.84/13.71 all Xs_92 (splice_nat(Xs_92,nil_nat)=Xs_92).
% 13.84/13.71 all Ys_30 (splice360969192le_alt(nil_Ar126264853le_alt,Ys_30)=Ys_30).
% 13.84/13.71 all Ys_30 (splice_nat(nil_nat,Ys_30)=Ys_30).
% 13.84/13.71 all X_1 Xs ((Xs=nil_bool->butlast_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=nil_bool)& (Xs!=nil_bool->butlast_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),butlast_bool(Xs)))).
% 13.84/13.71 all X_121 Xs_91 ((Xs_91=nil_Ar126264853le_alt->butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_121),Xs_91))=nil_Ar126264853le_alt)& (Xs_91!=nil_Ar126264853le_alt->butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_121),Xs_91))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_121),butlas1262502241le_alt(Xs_91)))).
% 13.84/13.71 all X_121 Xs_91 ((Xs_91=nil_nat->butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_121),Xs_91))=nil_nat)& (Xs_91!=nil_nat->butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_121),Xs_91))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_121),butlast_nat(Xs_91)))).
% 13.84/13.71 all F1 F2 (list_c380068407le_alt(F1,F2,nil_Ar126264853le_alt)=F1).
% 13.84/13.71 all F1 F2 (list_c554461815at_nat(F1,F2,nil_nat)=F1).
% 13.84/13.71 all F1 F2 Aa List_1 (list_c380068407le_alt(F1,F2,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Aa),List_1))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(F2,Aa),List_1)).
% 13.84/13.71 all F1 F2 Aa List_1 (list_c554461815at_nat(F1,F2,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),List_1))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(F2,Aa),List_1)).
% 13.84/13.71 all Xs (Xs=nil_Ar126264853le_alt<->hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs))).
% 13.84/13.71 all Xs (Xs=nil_nat<->hBOOL(hAPP_list_nat_bool(null_nat,Xs))).
% 13.84/13.71 all Xs (hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs))<->Xs=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs (hBOOL(hAPP_list_nat_bool(null_nat,Xs))<->Xs=nil_nat).
% 13.84/13.71 hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,nil_Ar126264853le_alt)).
% 13.84/13.71 hBOOL(hAPP_list_nat_bool(null_nat,nil_nat)).
% 13.84/13.71 all X_1 Xs (-hBOOL(hAPP_list_bool_bool(null_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))).
% 13.84/13.71 all X_120 Xs_90 (-hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_120),Xs_90)))).
% 13.84/13.71 all X_120 Xs_90 (-hBOOL(hAPP_list_nat_bool(null_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_120),Xs_90)))).
% 13.84/13.71 all Xs X_1 (butlast_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)))=Xs).
% 13.84/13.71 all Xs_89 X_119 (butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_89),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_119),nil_Ar126264853le_alt)))=Xs_89).
% 13.84/13.71 all Xs_89 X_119 (butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_89),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_119),nil_nat)))=Xs_89).
% 13.84/13.71 all X_118 hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_118),nil_nat))).
% 13.84/13.71 all X_1 Xs (Xs=nil_bool-> (hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))<->hBOOL(X_1))).
% 13.84/13.71 all X_117 Xs_88 (is_Arr1861959080le_alt(X_117)-> (Xs_88=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_117),Xs_88))=X_117)).
% 13.84/13.71 all X_117 Xs_88 (Xs_88=nil_nat->hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_117),Xs_88))=X_117).
% 13.84/13.71 hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,nil_nat)).
% 13.84/13.71 all Xs_87 Ys_29 Zs_6 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_87),Ys_29)),Zs_6)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_87),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_29),Zs_6))).
% 13.84/13.71 all Xs_87 Ys_29 Zs_6 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_87),Ys_29)),Zs_6)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_87),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_29),Zs_6))).
% 13.84/13.71 all Xs Ys Zs Ts (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Ts)<-> (exists Us_1 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Us_1)&hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Us_1),Ys)=Ts|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Us_1)=Zs&Ys=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Us_1),Ts)))).
% 13.84/13.71 all Xs Ys Zs Ts (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Ts)<-> (exists Us_1 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Us_1)&hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Us_1),Ys)=Ts|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Us_1)=Zs&Ys=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Us_1),Ts)))).
% 13.84/13.71 all Xs Ys Zs (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Zs)<->Ys=Zs).
% 13.84/13.71 all Xs Ys Zs (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Zs)<->Ys=Zs).
% 13.84/13.71 all Ys Xs Zs (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Xs)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Xs)<->Ys=Zs).
% 13.84/13.71 all Ys Xs Zs (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Xs)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Xs)<->Ys=Zs).
% 13.84/13.71 all Ys_28 Us Xs_86 Xs1_2 Zs_5 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_86),Xs1_2)=Zs_5-> (Ys_28=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs1_2),Us)->hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_86),Ys_28)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs_5),Us))).
% 13.84/13.71 all Ys_28 Us Xs_86 Xs1_2 Zs_5 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_86),Xs1_2)=Zs_5-> (Ys_28=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs1_2),Us)->hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_86),Ys_28)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs_5),Us))).
% 13.84/13.71 all Xs_85 Ys_27 (Ys_27=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_85),Ys_27))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_85)).
% 13.84/13.71 all Xs_85 Ys_27 (Ys_27=nil_nat->hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_85),Ys_27))=hAPP_list_nat_nat(last_nat,Xs_85)).
% 13.84/13.71 all Xs_84 Ys_26 (Ys_26!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_84),Ys_26))=hAPP_l1105242632le_alt(last_A57386030le_alt,Ys_26)).
% 13.84/13.71 all Xs_84 Ys_26 (Ys_26!=nil_nat->hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_84),Ys_26))=hAPP_list_nat_nat(last_nat,Ys_26)).
% 13.84/13.71 all Xs_83 Ys_25 ((Ys_25=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_83),Ys_25))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_83))& (Ys_25!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_83),Ys_25))=hAPP_l1105242632le_alt(last_A57386030le_alt,Ys_25))).
% 13.84/13.71 all Xs_83 Ys_25 ((Ys_25=nil_nat->hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_83),Ys_25))=hAPP_list_nat_nat(last_nat,Xs_83))& (Ys_25!=nil_nat->hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_83),Ys_25))=hAPP_list_nat_nat(last_nat,Ys_25))).
% 13.84/13.71 all F X_1 Xs (maps_A461338881le_alt(F,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(F,X_1)),maps_A461338881le_alt(F,Xs))).
% 13.84/13.71 all F X_1 Xs (maps_n2115510812le_alt(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_n1875670159le_alt(F,X_1)),maps_n2115510812le_alt(F,Xs))).
% 13.84/13.71 all F X_1 Xs (maps_bool_nat(F,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_bool_list_nat(F,X_1)),maps_bool_nat(F,Xs))).
% 13.84/13.71 all Xs X_1 (hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))))<->hBOOL(X_1)).
% 13.84/13.71 all Xs_82 X_116 (is_Arr1861959080le_alt(X_116)->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_82),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_116),nil_Ar126264853le_alt)))=X_116).
% 13.84/13.71 all Xs_82 X_116 (hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_82),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_116),nil_nat)))=X_116).
% 13.84/13.71 all X_1 Xs Ys (hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),Ys)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys))).
% 13.84/13.71 all X_115 Xs_81 Ys_24 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_115),Xs_81)),Ys_24)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_115),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_81),Ys_24))).
% 13.84/13.71 all X_115 Xs_81 Ys_24 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_115),Xs_81)),Ys_24)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_115),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_81),Ys_24))).
% 13.84/13.71 all Xs Zs X_1 Xs1_1 Ys (hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs1_1)=Ys-> (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs1_1),Zs)->hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs))).
% 13.84/13.71 all Xs_80 Zs_4 X_114 Xs1 Ys_23 (hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_114),Xs1)=Ys_23-> (Xs_80=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs1),Zs_4)->hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_114),Xs_80)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_23),Zs_4))).
% 13.84/13.71 all Xs_80 Zs_4 X_114 Xs1 Ys_23 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_114),Xs1)=Ys_23-> (Xs_80=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs1),Zs_4)->hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_114),Xs_80)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_23),Zs_4))).
% 13.84/13.71 all Ys_22 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,nil_Ar126264853le_alt),Ys_22)=Ys_22).
% 13.84/13.71 all Ys_22 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,nil_nat),Ys_22)=Ys_22).
% 13.84/13.71 all Xs Ys (nil_Ar126264853le_alt=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)<->Xs=nil_Ar126264853le_alt&Ys=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs Ys (nil_nat=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)<->Xs=nil_nat&Ys=nil_nat).
% 13.84/13.71 all Xs_79 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_79),nil_Ar126264853le_alt)=Xs_79).
% 13.84/13.71 all Xs_79 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_79),nil_nat)=Xs_79).
% 13.84/13.71 all Xs Ys (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)<->Ys=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs Ys (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)<->Ys=nil_nat).
% 13.84/13.71 all Ys Xs (Ys=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)<->Xs=nil_Ar126264853le_alt).
% 13.84/13.71 all Ys Xs (Ys=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)<->Xs=nil_nat).
% 13.84/13.71 all Xs Ys (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=nil_Ar126264853le_alt<->Xs=nil_Ar126264853le_alt&Ys=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs Ys (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=nil_nat<->Xs=nil_nat&Ys=nil_nat).
% 13.84/13.71 all Xs Ys (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=Xs<->Ys=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs Ys (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=Xs<->Ys=nil_nat).
% 13.84/13.71 all Xs Ys (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=Ys<->Xs=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs Ys (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=Ys<->Xs=nil_nat).
% 13.84/13.71 all Xs_78 Ys_21 (Xs_78=Ys_21->Xs_78=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,nil_Ar126264853le_alt),Ys_21)).
% 13.84/13.71 all Xs_78 Ys_21 (Xs_78=Ys_21->Xs_78=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,nil_nat),Ys_21)).
% 13.84/13.71 all Xs X_1 Ys (hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))=Ys<->Ys!=nil_bool&butlast_bool(Ys)=Xs& (hBOOL(hAPP_list_bool_bool(last_bool,Ys))<->hBOOL(X_1))).
% 13.84/13.71 all Xs X_1 Ys (is_Arr1861959080le_alt(X_1)-> (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))=Ys<->Ys!=nil_Ar126264853le_alt&butlas1262502241le_alt(Ys)=Xs&hAPP_l1105242632le_alt(last_A57386030le_alt,Ys)=X_1)).
% 13.84/13.71 all Xs X_1 Ys (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))=Ys<->Ys!=nil_nat&butlast_nat(Ys)=Xs&hAPP_list_nat_nat(last_nat,Ys)=X_1).
% 13.84/13.71 all Xs (Xs!=nil_bool->hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,butlast_bool(Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_list_bool_bool(last_bool,Xs)),nil_bool))=Xs).
% 13.84/13.71 all Xs_77 (Xs_77!=nil_Ar126264853le_alt->hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,butlas1262502241le_alt(Xs_77)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_77)),nil_Ar126264853le_alt))=Xs_77).
% 13.84/13.71 all Xs_77 (Xs_77!=nil_nat->hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,butlast_nat(Xs_77)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_list_nat_nat(last_nat,Xs_77)),nil_nat))=Xs_77).
% 13.84/13.71 all Ys Zs X_1 Xs (hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)<->Ys=nil_bool&Zs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)| (exists Ys_20 (Ys=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys_20)&hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_20),Zs)=Xs))).
% 13.84/13.71 all Ys Zs X_1 Xs (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)<->Ys=nil_Ar126264853le_alt&Zs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)| (exists Ys_20 (Ys=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Ys_20)&hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_20),Zs)=Xs))).
% 13.84/13.71 all Ys Zs X_1 Xs (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)<->Ys=nil_nat&Zs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)| (exists Ys_20 (Ys=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Ys_20)&hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_20),Zs)=Xs))).
% 13.84/13.71 all X_1 Xs Ys Zs (hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)<->Ys=nil_bool&hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)=Zs| (exists Ys_20 (hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys_20)=Ys&Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_20),Zs)))).
% 13.84/13.71 all X_1 Xs Ys Zs (hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)<->Ys=nil_Ar126264853le_alt&hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)=Zs| (exists Ys_20 (hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Ys_20)=Ys&Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_20),Zs)))).
% 13.84/13.71 all X_1 Xs Ys Zs (hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)<->Ys=nil_nat&hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)=Zs| (exists Ys_20 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Ys_20)=Ys&Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_20),Zs)))).
% 13.84/13.71 all Xs X_1 Ys Y_2 (hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool))<->Xs=Ys& (hBOOL(X_1)<->hBOOL(Y_2))).
% 13.84/13.71 all Xs X_1 Ys Y_2 (is_Arr1861959080le_alt(X_1)&is_Arr1861959080le_alt(Y_2)-> (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),nil_Ar126264853le_alt))<->Xs=Ys&X_1=Y_2)).
% 13.84/13.71 all Xs X_1 Ys Y_2 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),nil_nat))<->Xs=Ys&X_1=Y_2).
% 13.84/13.71 all Xs_76 Ys_19 ((Ys_19=nil_Ar126264853le_alt->butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_76),Ys_19))=butlas1262502241le_alt(Xs_76))& (Ys_19!=nil_Ar126264853le_alt->butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_76),Ys_19))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_76),butlas1262502241le_alt(Ys_19)))).
% 13.84/13.71 all Xs_76 Ys_19 ((Ys_19=nil_nat->butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_76),Ys_19))=butlast_nat(Xs_76))& (Ys_19!=nil_nat->butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_76),Ys_19))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_76),butlast_nat(Ys_19)))).
% 13.84/13.71 all Xs_75 (Xs_75!=nil_nat-> (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_75))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,butlast_nat(Xs_75))))).
% 13.84/13.71 all X_1 Xs (hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))<-> (Xs=nil_bool->hBOOL(X_1))& (Xs!=nil_bool->hBOOL(hAPP_list_bool_bool(last_bool,Xs)))).
% 13.84/13.71 all X_113 Xs_74 (is_Arr1861959080le_alt(X_113)-> (Xs_74=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_113),Xs_74))=X_113)& (Xs_74!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_113),Xs_74))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_74))).
% 13.84/13.71 all X_113 Xs_74 ((Xs_74=nil_nat->hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_113),Xs_74))=X_113)& (Xs_74!=nil_nat->hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_113),Xs_74))=hAPP_list_nat_nat(last_nat,Xs_74))).
% 13.84/13.71 all X_1 Xs (Xs!=nil_bool-> (hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))<->hBOOL(hAPP_list_bool_bool(last_bool,Xs)))).
% 13.84/13.71 all X_112 Xs_73 (Xs_73!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_112),Xs_73))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_73)).
% 13.84/13.71 all X_112 Xs_73 (Xs_73!=nil_nat->hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_112),Xs_73))=hAPP_list_nat_nat(last_nat,Xs_73)).
% 13.84/13.71 all Xs P_1 (hBOOL(hAPP_list_bool_bool(P_1,nil_bool))-> ((all X_4 Xs_19 (is_bool(X_4)-> (hBOOL(hAPP_list_bool_bool(P_1,Xs_19))->hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs_19),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),nil_bool)))))))->hBOOL(hAPP_list_bool_bool(P_1,Xs)))).
% 13.84/13.71 all Xs P_1 (hBOOL(hAPP_l1386638586t_bool(P_1,nil_Ar126264853le_alt))-> ((all X_4 Xs_19 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_l1386638586t_bool(P_1,Xs_19))->hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_19),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),nil_Ar126264853le_alt)))))))->hBOOL(hAPP_l1386638586t_bool(P_1,Xs)))).
% 13.84/13.71 all Xs P_1 (hBOOL(hAPP_list_nat_bool(P_1,nil_nat))-> ((all X_4 Xs_19 (hBOOL(hAPP_list_nat_bool(P_1,Xs_19))->hBOOL(hAPP_list_nat_bool(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_19),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),nil_nat))))))->hBOOL(hAPP_list_nat_bool(P_1,Xs)))).
% 13.84/13.71 all Xs (Xs!=nil_bool-> -(all Ys_6 Y_25 (is_bool(Y_25)->Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),nil_bool))))).
% 13.84/13.71 all Xs_72 (Xs_72!=nil_Ar126264853le_alt-> -(all Ys_6 Y_25 (is_Arr1861959080le_alt(Y_25)->Xs_72!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),nil_Ar126264853le_alt))))).
% 13.84/13.71 all Xs_72 (Xs_72!=nil_nat-> -(all Ys_6 Y_25 (Xs_72!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),nil_nat))))).
% 13.84/13.71 all Xs (hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,Xs),nil_Ar126264853le_alt))<->hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs))).
% 13.84/13.71 all Xs (hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,Xs),nil_nat))<->hBOOL(hAPP_list_nat_bool(null_nat,Xs))).
% 13.84/13.71 all X_1 Xs (rotate1322903650le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt&rotate1_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))).
% 13.84/13.71 all X_1 Xs (rotate1_nat(nil_nat)=nil_nat&rotate1_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))).
% 13.84/13.71 all X_111 Xs_71 (rotate1_nat(nil_nat)=nil_nat&rotate1322903650le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_111),Xs_71))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_71),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_111),nil_Ar126264853le_alt))).
% 13.84/13.71 all X_111 Xs_71 (rotate1322903650le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt&rotate1322903650le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_111),Xs_71))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_71),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_111),nil_Ar126264853le_alt))).
% 13.84/13.71 all X_111 Xs_71 (rotate1_nat(nil_nat)=nil_nat&rotate1_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_111),Xs_71))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_71),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_111),nil_nat))).
% 13.84/13.71 all X_111 Xs_71 (rotate1322903650le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt&rotate1_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_111),Xs_71))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_71),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_111),nil_nat))).
% 13.84/13.71 all Ws_1 (-hBOOL(hAPP_list_bool_bool(distinct_bool,Ws_1))-> (exists Xs_19 Ys_6 Zs_2 Y_25 (is_bool(Y_25)&Ws_1=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs_19),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),nil_bool)),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),nil_bool)),Zs_2))))))).
% 13.84/13.71 all Ws (-hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Ws))-> (exists Xs_19 Ys_6 Zs_2 Y_25 (is_Arr1861959080le_alt(Y_25)&Ws=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_19),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),nil_Ar126264853le_alt)),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),nil_Ar126264853le_alt)),Zs_2))))))).
% 13.84/13.71 all Ws (-hBOOL(hAPP_list_nat_bool(distinct_nat,Ws))-> (exists Xs_19 Ys_6 Zs_2 Y_25 (Ws=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_19),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),nil_nat)),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),nil_nat)),Zs_2))))))).
% 13.84/13.71 all I_1 X_1 (hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_bool_list_bool(replicate_bool(I_1),X_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_bool_list_bool(replicate_bool(I_1),X_1))).
% 13.84/13.71 all I_13 X_110 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(I_13),X_110)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_110),nil_Ar126264853le_alt))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_110),hAPP_A832564074le_alt(replic351609551le_alt(I_13),X_110))).
% 13.84/13.71 all I_13 X_110 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(I_13),X_110)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_110),nil_nat))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_110),hAPP_nat_list_nat(replicate_nat(I_13),X_110))).
% 13.84/13.71 all X_1 Xs (rev_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,rev_bool(Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))).
% 13.84/13.71 all X_109 Xs_70 (rev_Ar2093961333le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_109),Xs_70))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(Xs_70)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_109),nil_Ar126264853le_alt))).
% 13.84/13.71 all X_109 Xs_70 (rev_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_109),Xs_70))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(Xs_70)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_109),nil_nat))).
% 13.84/13.71 all Xs Y_2 Ys (rev_bool(Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)<->Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,rev_bool(Ys)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool))).
% 13.84/13.71 all Xs Y_2 Ys (rev_Ar2093961333le_alt(Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys)<->Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(Ys)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),nil_Ar126264853le_alt))).
% 13.84/13.71 all Xs Y_2 Ys (rev_nat(Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)<->Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(Ys)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),nil_nat))).
% 13.84/13.71 all Ys_18 Xs_69 (Xs_69!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_69),Ys_18))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_69)).
% 13.84/13.71 all Ys_18 Xs_69 (Xs_69!=nil_nat->hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_69),Ys_18))=hAPP_list_nat_nat(hd_nat,Xs_69)).
% 13.84/13.71 all Ys_17 Xs_68 ((Xs_68=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_68),Ys_17))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Ys_17))& (Xs_68!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_68),Ys_17))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_68))).
% 13.84/13.71 all Ys_17 Xs_68 ((Xs_68=nil_nat->hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_68),Ys_17))=hAPP_list_nat_nat(hd_nat,Ys_17))& (Xs_68!=nil_nat->hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_68),Ys_17))=hAPP_list_nat_nat(hd_nat,Xs_68))).
% 13.84/13.71 all Ys_16 Xs_67 (Xs_67!=nil_Ar126264853le_alt->tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_67),Ys_16))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,tl_Arr1453005548le_alt(Xs_67)),Ys_16)).
% 13.84/13.71 all Ys_16 Xs_67 (Xs_67!=nil_nat->tl_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_67),Ys_16))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,tl_nat(Xs_67)),Ys_16)).
% 13.84/13.71 all Xs Ys (rev_nat(Xs)=rev_nat(Ys)<->Xs=Ys).
% 13.84/13.71 all Xs Ys (rev_Ar2093961333le_alt(Xs)=rev_Ar2093961333le_alt(Ys)<->Xs=Ys).
% 13.84/13.71 all Xs Ys (rev_nat(Xs)=Ys<->Xs=rev_nat(Ys)).
% 13.84/13.71 all Xs Ys (rev_Ar2093961333le_alt(Xs)=Ys<->Xs=rev_Ar2093961333le_alt(Ys)).
% 13.84/13.71 all X_1 A (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))<->hBOOL(hAPP_A862370221t_bool(A,X_1))).
% 13.84/13.71 all X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))<->hBOOL(hAPP_nat_bool(A,X_1))).
% 13.84/13.71 all P_1 (collect_nat(P_1)=P_1).
% 13.84/13.71 all N_44 X_108 (rev_nat(hAPP_nat_list_nat(replicate_nat(N_44),X_108))=hAPP_nat_list_nat(replicate_nat(N_44),X_108)).
% 13.84/13.71 all N_44 X_108 (rev_Ar2093961333le_alt(hAPP_A832564074le_alt(replic351609551le_alt(N_44),X_108))=hAPP_A832564074le_alt(replic351609551le_alt(N_44),X_108)).
% 13.84/13.71 all Xs_66 (rev_nat(rev_nat(Xs_66))=Xs_66).
% 13.84/13.71 all Xs_66 (rev_Ar2093961333le_alt(rev_Ar2093961333le_alt(Xs_66))=Xs_66).
% 13.84/13.71 all X_1 Y_2 (hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,X_1),Y_2))<->X_1=Y_2).
% 13.84/13.71 all X_1 Y_2 (hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,X_1),Y_2))<->X_1=Y_2).
% 13.84/13.71 all Xs (rev_Ar2093961333le_alt(Xs)=nil_Ar126264853le_alt<->Xs=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs (rev_nat(Xs)=nil_nat<->Xs=nil_nat).
% 13.84/13.71 all Xs (nil_Ar126264853le_alt=rev_Ar2093961333le_alt(Xs)<->Xs=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs (nil_nat=rev_nat(Xs)<->Xs=nil_nat).
% 13.84/13.71 rev_Ar2093961333le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.84/13.71 rev_nat(nil_nat)=nil_nat.
% 13.84/13.71 all Xs_65 Ys_15 (rev_Ar2093961333le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_65),Ys_15))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(Ys_15)),rev_Ar2093961333le_alt(Xs_65))).
% 13.84/13.71 all Xs_65 Ys_15 (rev_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_65),Ys_15))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(Ys_15)),rev_nat(Xs_65))).
% 13.84/13.71 all Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rev_Ar2093961333le_alt(Xs)))<->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))).
% 13.84/13.71 all Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,rev_nat(Xs)))<->hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))).
% 13.84/13.71 all Xs_64 (Xs_64!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(last_A57386030le_alt,rev_Ar2093961333le_alt(Xs_64))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_64)).
% 13.84/13.71 all Xs_64 (Xs_64!=nil_nat->hAPP_list_nat_nat(last_nat,rev_nat(Xs_64))=hAPP_list_nat_nat(hd_nat,Xs_64)).
% 13.84/13.71 all Xs_63 (Xs_63!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(hd_Arr805754088le_alt,rev_Ar2093961333le_alt(Xs_63))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_63)).
% 13.84/13.71 all Xs_63 (Xs_63!=nil_nat->hAPP_list_nat_nat(hd_nat,rev_nat(Xs_63))=hAPP_list_nat_nat(last_nat,Xs_63)).
% 13.84/13.71 all N_43 X_107 K_6 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_43),X_107)),hAPP_A832564074le_alt(replic351609551le_alt(K_6),X_107))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(K_6),X_107)),hAPP_A832564074le_alt(replic351609551le_alt(N_43),X_107))).
% 13.84/13.71 all N_43 X_107 K_6 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(N_43),X_107)),hAPP_nat_list_nat(replicate_nat(K_6),X_107))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(K_6),X_107)),hAPP_nat_list_nat(replicate_nat(N_43),X_107))).
% 13.84/13.71 all Xs (Xs!=nil_bool->rotate1_bool(Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,tl_bool(Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_list_bool_bool(hd_bool,Xs)),nil_bool))).
% 13.84/13.71 all Xs_62 (Xs_62!=nil_Ar126264853le_alt->rotate1322903650le_alt(Xs_62)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,tl_Arr1453005548le_alt(Xs_62)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_62)),nil_Ar126264853le_alt))).
% 13.84/13.71 all Xs_62 (Xs_62!=nil_nat->rotate1_nat(Xs_62)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,tl_nat(Xs_62)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_list_nat_nat(hd_nat,Xs_62)),nil_nat))).
% 13.84/13.71 all X_1 Xs (tl_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=Xs).
% 13.84/13.71 all X_106 Xs_61 (tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_106),Xs_61))=Xs_61).
% 13.84/13.71 all X_106 Xs_61 (tl_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_106),Xs_61))=Xs_61).
% 13.84/13.71 tl_Arr1453005548le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.84/13.71 tl_nat(nil_nat)=nil_nat.
% 13.84/13.71 all X_1 Xs (hBOOL(hAPP_list_bool_bool(hd_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))<->hBOOL(X_1)).
% 13.84/13.71 all X_105 Xs_60 (is_Arr1861959080le_alt(X_105)->hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_105),Xs_60))=X_105).
% 13.84/13.71 all X_105 Xs_60 (hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_105),Xs_60))=X_105).
% 13.84/13.71 all Xs_59 (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_59))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,tl_Arr1453005548le_alt(Xs_59)))).
% 13.84/13.71 all Xs_59 (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_59))->hBOOL(hAPP_list_nat_bool(distinct_nat,tl_nat(Xs_59)))).
% 13.84/13.71 all Xs_58 (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_58))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,tl_nat(Xs_58)))).
% 13.84/13.71 all Xs (rotate1322903650le_alt(Xs)=nil_Ar126264853le_alt<->Xs=nil_Ar126264853le_alt).
% 13.84/13.71 all Xs (rotate1_nat(Xs)=nil_nat<->Xs=nil_nat).
% 13.84/13.71 all Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rotate1322903650le_alt(Xs)))<->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))).
% 13.84/13.71 all Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,rotate1_nat(Xs)))<->hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))).
% 13.84/13.71 all X_1 Xs (hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)=rev_bool(Xs)<->Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)).
% 13.84/13.71 all X_1 Xs (hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt)=rev_Ar2093961333le_alt(Xs)<->Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt)).
% 13.84/13.71 all X_1 Xs (hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)=rev_nat(Xs)<->Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)).
% 13.84/13.71 all Xs X_1 (rev_bool(Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)<->Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)).
% 13.84/13.71 all Xs X_1 (rev_Ar2093961333le_alt(Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt)<->Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt)).
% 13.84/13.71 all Xs X_1 (rev_nat(Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)<->Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)).
% 13.84/13.71 all N_1 X_1 Xs (hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_bool_list_bool(replicate_bool(N_1),X_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_bool_list_bool(replicate_bool(N_1),X_1)),Xs))).
% 13.84/13.71 all N_42 X_104 Xs_57 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_42),X_104)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_104),Xs_57))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_104),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_42),X_104)),Xs_57))).
% 13.84/13.71 all N_42 X_104 Xs_57 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(N_42),X_104)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_104),Xs_57))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_104),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(N_42),X_104)),Xs_57))).
% 13.84/13.71 e_qual_e_qual_list_nat=fe_qual_list_nat.
% 13.84/13.71 e_qual_499625528le_alt=fe_qual796301787le_alt.
% 13.84/13.71 all X_103 hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,X_103),X_103)).
% 13.84/13.71 all X_103 hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,X_103),X_103)).
% 13.84/13.71 all X_1 Y_2 (hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,X_1),Y_2))<->X_1=Y_2).
% 13.84/13.71 all X_1 Y_2 (hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,X_1),Y_2))<->X_1=Y_2).
% 13.84/13.71 fe_qual_list_nat=e_qual_e_qual_list_nat.
% 13.84/13.71 fe_qual796301787le_alt=e_qual_499625528le_alt.
% 13.84/13.71 all P_1 Xs (dropWh156852662le_alt(P_1,Xs)!=nil_Ar126264853le_alt-> -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,dropWh156852662le_alt(P_1,Xs))))).
% 13.84/13.71 all P_1 Xs (dropWhile_nat(P_1,Xs)!=nil_nat-> -hBOOL(hAPP_nat_bool(P_1,hAPP_list_nat_nat(hd_nat,dropWhile_nat(P_1,Xs))))).
% 13.84/13.71 all P_1 (-hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),nil_Ar126264853le_alt))).
% 13.84/13.71 all P_1 (-hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),nil_nat))).
% 13.84/13.71 all Y_66 (-hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,nil_Ar126264853le_alt),Y_66))).
% 13.84/13.71 all Y_66 (-hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,nil_nat),Y_66))).
% 13.84/13.71 all Y_2 X_1 Xs (hBOOL(hAPP_list_bool_bool(listMem_bool(X_1),Xs))->hBOOL(hAPP_list_bool_bool(listMem_bool(X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Xs)))).
% 13.84/13.71 all Y_65 X_102 Xs_56 (hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_102),Xs_56))->hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_102),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_65),Xs_56)))).
% 13.84/13.71 all Y_65 X_102 Xs_56 (hBOOL(hAPP_list_nat_bool(listMem_nat(X_102),Xs_56))->hBOOL(hAPP_list_nat_bool(listMem_nat(X_102),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_65),Xs_56)))).
% 13.84/13.71 all X_1 Xs Y_2 (hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),Y_2))<-> (hBOOL(X_1)<->hBOOL(Y_2))|hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,Xs),Y_2))).
% 13.84/13.71 all X_1 Xs Y_2 (is_Arr1861959080le_alt(X_1)&is_Arr1861959080le_alt(Y_2)-> (hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)),Y_2))<->X_1=Y_2|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),Y_2)))).
% 13.84/13.71 all X_1 Xs Y_2 (hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)),Y_2))<->X_1=Y_2|hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),Y_2))).
% 13.84/13.71 all X_1 Xs hBOOL(hAPP_list_bool_bool(listMem_bool(X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))).
% 13.84/13.71 all X_101 Xs_55 hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_101),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_101),Xs_55))).
% 13.84/13.71 all X_101 Xs_55 hBOOL(hAPP_list_nat_bool(listMem_nat(X_101),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_101),Xs_55))).
% 13.84/13.71 all Xs P_1 X_1 ((hBOOL(hAPP_bool_bool(P_1,X_1))->dropWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=dropWhile_bool(P_1,Xs))& (-hBOOL(hAPP_bool_bool(P_1,X_1))->dropWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))).
% 13.84/13.71 all Xs P_1 X_1 ((hBOOL(hAPP_A862370221t_bool(P_1,X_1))->dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=dropWh156852662le_alt(P_1,Xs))& (-hBOOL(hAPP_A862370221t_bool(P_1,X_1))->dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))).
% 13.84/13.71 all Xs P_1 X_1 ((hBOOL(hAPP_nat_bool(P_1,X_1))->dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=dropWhile_nat(P_1,Xs))& (-hBOOL(hAPP_nat_bool(P_1,X_1))->dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))).
% 13.84/13.71 all P_1 (dropWh156852662le_alt(P_1,nil_Ar126264853le_alt)=nil_Ar126264853le_alt).
% 13.84/13.71 all P_1 (dropWhile_nat(P_1,nil_nat)=nil_nat).
% 13.84/13.71 all P_1 Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,dropWh156852662le_alt(P_1,Xs)))).
% 13.84/13.71 all P_1 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))->hBOOL(hAPP_list_nat_bool(distinct_nat,dropWhile_nat(P_1,Xs)))).
% 13.84/13.71 all P_1 Xs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,dropWhile_nat(P_1,Xs)))).
% 13.84/13.71 all P_1 Xs Y_2 Ys (dropWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)<->Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,takeWhile_bool(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys))& -hBOOL(hAPP_bool_bool(P_1,Y_2))).
% 13.84/13.71 all P_1 Xs Y_2 Ys (dropWh156852662le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys)<->Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,takeWh536362254le_alt(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys))& -hBOOL(hAPP_A862370221t_bool(P_1,Y_2))).
% 13.84/13.71 all P_1 Xs Y_2 Ys (dropWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)<->Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,takeWhile_nat(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys))& -hBOOL(hAPP_nat_bool(P_1,Y_2))).
% 13.84/13.71 all A1 A2 (hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))<-> (exists X_4 Xs_19 (is_bool(X_4)& (hBOOL(A1)<->hBOOL(X_4))&A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19)))| (exists X_4 Xs_19 Y_25 (is_bool(X_4)&is_bool(Y_25)& (hBOOL(A1)<->hBOOL(X_4))&A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Xs_19)&hBOOL(hAPP_list_bool_bool(listMem_bool(X_4),Xs_19))))).
% 13.84/13.71 all A1 A2 (is_Arr1861959080le_alt(A1)-> (hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))<-> (exists X_4 Xs_19 (is_Arr1861959080le_alt(X_4)&A1=X_4&A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Xs_19)))| (exists X_4 Xs_19 Y_25 (is_Arr1861959080le_alt(X_4)&is_Arr1861959080le_alt(Y_25)&A1=X_4&A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Xs_19)&hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_4),Xs_19)))))).
% 13.84/13.71 all A1 A2 (hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))<-> (exists X_4 Xs_19 (A1=X_4&A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19)))| (exists X_4 Xs_19 Y_25 (A1=X_4&A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Xs_19)&hBOOL(hAPP_list_nat_bool(listMem_nat(X_4),Xs_19))))).
% 13.84/13.71 all P_1 Xs (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,takeWh536362254le_alt(P_1,Xs)),dropWh156852662le_alt(P_1,Xs))=Xs).
% 13.84/13.71 all P_1 Xs (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,takeWhile_nat(P_1,Xs)),dropWhile_nat(P_1,Xs))=Xs).
% 13.84/13.71 all X_100 N_41 (is_Arr1861959080le_alt(X_100)-> (N_41!=zero_zero_nat->hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_41),X_100))=X_100)).
% 13.84/13.71 all X_100 N_41 (N_41!=zero_zero_nat->hAPP_list_nat_nat(hd_nat,hAPP_nat_list_nat(replicate_nat(N_41),X_100))=X_100).
% 13.84/13.71 all X_99 N_40 (N_40!=zero_zero_nat->hAPP_list_nat_nat(last_nat,hAPP_nat_list_nat(replicate_nat(N_40),X_99))=X_99).
% 13.84/13.71 all X_99 N_40 (is_Arr1861959080le_alt(X_99)-> (N_40!=zero_zero_nat->hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_40),X_99))=X_99)).
% 13.84/13.71 all Xs Ys P_1 (hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))-> ((all X_4 Xs_19 (is_Arr1861959080le_alt(X_4)->hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Xs_19)),nil_bool))))-> ((all Y_25 Ys_6 (is_bool(Y_25)->hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)))))-> ((all X_4 Xs_19 Y_25 Ys_6 (is_Arr1861959080le_alt(X_4)&is_bool(Y_25)-> (hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs_19),Ys_6))->hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Xs_19)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6))))))->hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)))))).
% 13.84/13.71 all Xs Ys P_1 (hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),nil_bool))-> ((all X_4 Xs_19 hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19)),nil_bool)))-> ((all Y_25 Ys_6 (is_bool(Y_25)->hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)))))-> ((all X_4 Xs_19 Y_25 Ys_6 (is_bool(Y_25)-> (hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,Xs_19),Ys_6))->hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6))))))->hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,Xs),Ys)))))).
% 13.84/13.71 all Xs Ys P_1 (hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))-> ((all X_4 Xs_19 (is_bool(X_4)->hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19)),nil_Ar126264853le_alt))))-> ((all Y_25 Ys_6 (is_Arr1861959080le_alt(Y_25)->hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6)))))-> ((all X_4 Xs_19 Y_25 Ys_6 (is_bool(X_4)&is_Arr1861959080le_alt(Y_25)-> (hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs_19),Ys_6))->hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6))))))->hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)))))).
% 13.84/13.71 all Xs Ys P_1 (hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),nil_nat))-> ((all X_4 Xs_19 (is_bool(X_4)->hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19)),nil_nat))))-> ((all Y_25 Ys_6 hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6))))-> ((all X_4 Xs_19 Y_25 Ys_6 (is_bool(X_4)-> (hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,Xs_19),Ys_6))->hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6))))))->hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,Xs),Ys)))))).
% 13.84/13.71 all R_2 hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,nil_Ar126264853le_alt),nil_Ar126264853le_alt)).
% 13.84/13.71 all R_2 hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,nil_nat),nil_nat)).
% 13.84/13.71 all Xs Ys R_2 X_1 Y_2 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(R_2,X_1),Y_2))-> (hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,Xs),Ys))->hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys))))).
% 13.84/13.71 all Xs Ys R_2 X_1 Y_2 (hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(R_2,X_1),Y_2))-> (hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,Xs),Ys))->hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys))))).
% 13.84/13.71 all Xs Ys R_2 X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(R_2,X_1),Y_2))-> (hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,Xs),Ys))->hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys))))).
% 13.84/13.71 all P_1 (takeWh536362254le_alt(P_1,nil_Ar126264853le_alt)=nil_Ar126264853le_alt).
% 13.84/13.71 all P_1 (takeWhile_nat(P_1,nil_nat)=nil_nat).
% 13.84/13.71 all M_1 X_1 N_1 Y_2 (hAPP_nat_list_nat(replicate_nat(M_1),X_1)=hAPP_nat_list_nat(replicate_nat(N_1),Y_2)<->M_1=N_1& (M_1!=zero_zero_nat->X_1=Y_2)).
% 13.84/13.71 all M_1 X_1 N_1 Y_2 (is_Arr1861959080le_alt(X_1)&is_Arr1861959080le_alt(Y_2)-> (hAPP_A832564074le_alt(replic351609551le_alt(M_1),X_1)=hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2)<->M_1=N_1& (M_1!=zero_zero_nat->X_1=Y_2))).
% 13.84/13.71 all P_1 Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,takeWh536362254le_alt(P_1,Xs)))).
% 13.84/13.71 all P_1 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))->hBOOL(hAPP_list_nat_bool(distinct_nat,takeWhile_nat(P_1,Xs)))).
% 13.84/13.71 all P_1 Xs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,takeWhile_nat(P_1,Xs)))).
% 13.84/13.71 all X_98 (hAPP_A832564074le_alt(replic351609551le_alt(zero_zero_nat),X_98)=nil_Ar126264853le_alt).
% 13.84/13.71 all X_98 (hAPP_nat_list_nat(replicate_nat(zero_zero_nat),X_98)=nil_nat).
% 13.84/13.71 all N_1 X_1 (nil_Ar126264853le_alt=hAPP_A832564074le_alt(replic351609551le_alt(N_1),X_1)<->N_1=zero_zero_nat).
% 13.84/13.71 all N_1 X_1 (nil_nat=hAPP_nat_list_nat(replicate_nat(N_1),X_1)<->N_1=zero_zero_nat).
% 13.84/13.71 all N_1 X_1 (hAPP_A832564074le_alt(replic351609551le_alt(N_1),X_1)=nil_Ar126264853le_alt<->N_1=zero_zero_nat).
% 13.84/13.71 all N_1 X_1 (hAPP_nat_list_nat(replicate_nat(N_1),X_1)=nil_nat<->N_1=zero_zero_nat).
% 13.84/13.71 all Xs P_1 X_1 ((hBOOL(hAPP_bool_bool(P_1,X_1))->takeWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),takeWhile_bool(P_1,Xs)))& (-hBOOL(hAPP_bool_bool(P_1,X_1))->takeWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=nil_bool)).
% 13.84/13.71 all Xs P_1 X_1 ((hBOOL(hAPP_A862370221t_bool(P_1,X_1))->takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),takeWh536362254le_alt(P_1,Xs)))& (-hBOOL(hAPP_A862370221t_bool(P_1,X_1))->takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=nil_Ar126264853le_alt)).
% 13.84/13.71 all Xs P_1 X_1 ((hBOOL(hAPP_nat_bool(P_1,X_1))->takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),takeWhile_nat(P_1,Xs)))& (-hBOOL(hAPP_nat_bool(P_1,X_1))->takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=nil_nat)).
% 13.84/13.71 all Xs L_2 P_1 X_1 (-hBOOL(hAPP_bool_bool(P_1,X_1))->takeWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),L_2)))=takeWhile_bool(P_1,Xs)).
% 13.84/13.71 all Xs L_2 P_1 X_1 (-hBOOL(hAPP_A862370221t_bool(P_1,X_1))->takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),L_2)))=takeWh536362254le_alt(P_1,Xs)).
% 13.84/13.71 all Xs L_2 P_1 X_1 (-hBOOL(hAPP_nat_bool(P_1,X_1))->takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),L_2)))=takeWhile_nat(P_1,Xs)).
% 13.84/13.71 all X_1 A ((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))->sublist_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool),A)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))->sublist_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool),A)=nil_bool)).
% 13.84/13.71 all X_1 A ((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))->sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt),A)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))->sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt),A)=nil_Ar126264853le_alt)).
% 13.84/13.71 all X_1 A ((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))->sublist_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat),A)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))->sublist_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat),A)=nil_nat)).
% 13.84/13.71 all R_2 A1 A2 (hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))<->A1=nil_bool&A2=nil_bool| (exists X_4 Y_25 Xs_19 Ys_6 (is_bool(X_4)&is_bool(Y_25)&A1=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19)&A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)&hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(R_2,X_4),Y_25))&hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,Xs_19),Ys_6))))).
% 13.84/13.71 all R_2 A1 A2 (hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))<->A1=nil_Ar126264853le_alt&A2=nil_Ar126264853le_alt| (exists X_4 Y_25 Xs_19 Ys_6 (is_Arr1861959080le_alt(X_4)&is_Arr1861959080le_alt(Y_25)&A1=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Xs_19)&A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6)&hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(R_2,X_4),Y_25))&hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,Xs_19),Ys_6))))).
% 13.84/13.71 all R_2 A1 A2 (hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))<->A1=nil_nat&A2=nil_nat| (exists X_4 Y_25 Xs_19 Ys_6 (A1=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19)&A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6)&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(R_2,X_4),Y_25))&hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,Xs_19),Ys_6))))).
% 13.84/13.71 all Fa (list_s1237850263le_alt(Fa,nil_Ar126264853le_alt)=zero_zero_nat).
% 13.84/13.71 all Fa (list_size_nat(Fa,nil_nat)=zero_zero_nat).
% 13.84/13.71 all X_1 (zero_zero_nat=X_1<->X_1=zero_zero_nat).
% 13.84/13.71 all Xs (Xs!=nil_bool-> (hBOOL(hAPP_list_bool_bool(hd_bool,Xs))<->hBOOL(hAPP_nat_bool(nth_bool(Xs),zero_zero_nat)))).
% 13.84/13.71 all Xs_54 (Xs_54!=nil_Ar126264853le_alt->hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_54)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_54),zero_zero_nat)).
% 13.84/13.71 all Xs_54 (Xs_54!=nil_nat->hAPP_list_nat_nat(hd_nat,Xs_54)=hAPP_nat_nat(nth_nat(Xs_54),zero_zero_nat)).
% 13.84/13.71 all F X_1 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),nil_nat)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)).
% 13.84/13.71 all Xs (Xs!=nil_Ar126264853le_alt-> (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))->takeWh536362254le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),hAPP_l1105242632le_alt(last_A57386030le_alt,Xs))),Xs)=butlas1262502241le_alt(Xs))).
% 13.84/13.71 all Xs (Xs!=nil_nat-> (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))->takeWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),hAPP_list_nat_nat(last_nat,Xs))),Xs)=butlast_nat(Xs))).
% 13.84/13.71 all X_1 Xs ((hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))->hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,X_1),Xs)=Xs)& (-hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))->hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))).
% 13.84/13.71 all X_1 Xs ((hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_1),Xs)=Xs)& (-hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_1),Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))).
% 13.84/13.71 all X_1 Xs ((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_1),Xs)=Xs)& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_1),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))).
% 13.84/13.71 all F X_1 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Xs)))<-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))).
% 13.84/13.71 all X_1 Y_2 Xs (hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),Y_2),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),Y_2),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs))).
% 13.84/13.71 all I_11 X_1 Xs (-hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,sublis888024346le_alt(Xs,I_11))))).
% 13.84/13.71 all I_11 X_1 Xs (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,sublist_nat(Xs,I_11))))).
% 13.84/13.71 all Xs F X_1 Y_2 (hAPP_nat_nat(F,X_1)!=hAPP_nat_nat(F,Y_2)->hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Y_2),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Y_2),Xs))).
% 13.84/13.71 all X_1 Xs I_11 (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,sublis888024346le_alt(Xs,I_11))))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))).
% 13.84/13.71 all X_1 Xs I_11 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,sublist_nat(Xs,I_11))))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.71 all X_1 Xs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs)))<->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))).
% 13.84/13.71 all Xs Ys (tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=list_c380068407le_alt(tl_Arr1453005548le_alt(Ys),cOMBK_1696648346le_alt(hAPP_l568342716le_alt(cOMBC_1058495865le_alt(append1166636842le_alt),Ys)),Xs)).
% 13.84/13.71 all Xs Ys (tl_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=list_c554461815at_nat(tl_nat(Ys),cOMBK_1717478773at_nat(hAPP_l710375585st_nat(cOMBC_950362600st_nat(append_nat),Ys)),Xs)).
% 13.84/13.71 all Y_2 X_1 Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Y_2),hAPP_l96088310l_bool(set_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))))-> (hBOOL(Y_2)<->hBOOL(X_1))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Y_2),hAPP_l96088310l_bool(set_bool,Xs)))).
% 13.84/13.71 all Y_2 X_1 Xs (is_Arr1861959080le_alt(Y_2)&is_Arr1861959080le_alt(X_1)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Y_2),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))))->Y_2=X_1|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Y_2),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))))).
% 13.84/13.71 all Y_2 X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_2),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))))->Y_2=X_1|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_2),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.71 all Xs (hAPP_l82377208t_bool(set_Ar1565008694le_alt,rev_Ar2093961333le_alt(Xs))=hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)).
% 13.84/13.71 all Xs (hAPP_l1821533378t_bool(set_nat,rev_nat(Xs))=hAPP_l1821533378t_bool(set_nat,Xs)).
% 13.84/13.71 all P_1 Xs (takeWh536362254le_alt(P_1,Xs)=Xs<-> (all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))).
% 13.84/13.71 all P_1 Xs (takeWhile_nat(P_1,Xs)=Xs<-> (all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_4))))).
% 13.84/13.71 all X_1 P_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,takeWh536362254le_alt(P_1,Xs))))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_1))).
% 13.84/13.71 all X_1 P_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,takeWhile_nat(P_1,Xs))))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_1))).
% 13.84/13.71 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(Xs))))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))).
% 13.84/13.71 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(Xs))))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.72 all F Aa Xs (hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Aa),Xs)!=nil_nat).
% 13.84/13.72 all Xs (hAPP_l82377208t_bool(set_Ar1565008694le_alt,rotate1322903650le_alt(Xs))=hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)).
% 13.84/13.72 all Xs (hAPP_l1821533378t_bool(set_nat,rotate1_nat(Xs))=hAPP_l1821533378t_bool(set_nat,Xs)).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_1),Xs)=Xs).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_1),Xs)=Xs).
% 13.84/13.72 member345038890le_alt=set_Ar1565008694le_alt.
% 13.84/13.72 member_nat_1=set_nat.
% 13.84/13.72 all P_1 Xs (hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))<-> (exists X_4 (is_Arr1861959080le_alt(X_4)&hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))& (all Y_25 (is_Arr1861959080le_alt(Y_25)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Y_25),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,Y_25))->Y_25=X_4)))))).
% 13.84/13.72 all P_1 Xs (hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs))<-> (exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))& (all Y_25 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_25),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,Y_25))->Y_25=X_4))))).
% 13.84/13.72 all Xs X_1 (hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),X_1))<->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))).
% 13.84/13.72 all Xs X_1 (hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),X_1))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_1),Xs))<->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_list_nat_bool(listMem_nat(X_1),Xs))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))<->hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),X_1))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))<->hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),X_1))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))-> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))->dropWhile_bool(cOMBB_bool_bool_bool(fNot,hAPP_b589554111l_bool(cOMBC_bool_bool_bool(fe_qual_bool),X_1)),rev_bool(Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),rev_bool(takeWhile_bool(cOMBB_bool_bool_bool(fNot,hAPP_b589554111l_bool(cOMBC_bool_bool_bool(fe_qual_bool),X_1)),Xs))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->dropWh156852662le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),X_1)),rev_Ar2093961333le_alt(Xs))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),rev_Ar2093961333le_alt(takeWh536362254le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),X_1)),Xs))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->dropWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),rev_nat(Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),rev_nat(takeWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),Xs))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->takeWh536362254le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),X_1)),rev_Ar2093961333le_alt(Xs))=rev_Ar2093961333le_alt(tl_Arr1453005548le_alt(dropWh156852662le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),X_1)),Xs))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->takeWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),rev_nat(Xs))=rev_nat(tl_nat(dropWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),Xs))))).
% 13.84/13.72 all A (sublis888024346le_alt(nil_Ar126264853le_alt,A)=nil_Ar126264853le_alt).
% 13.84/13.72 all A (sublist_nat(nil_nat,A)=nil_nat).
% 13.84/13.72 all I_11 Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,sublis888024346le_alt(Xs,I_11)))).
% 13.84/13.72 all I_11 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))->hBOOL(hAPP_list_nat_bool(distinct_nat,sublist_nat(Xs,I_11)))).
% 13.84/13.72 all Xs (rotate1_bool(Xs)=list_c1750880501l_bool(nil_bool,cOMBB_1663860504l_bool(cOMBC_1789016513t_bool(append_bool),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),nil_bool)),Xs)).
% 13.84/13.72 all Xs (rotate1322903650le_alt(Xs)=list_c380068407le_alt(nil_Ar126264853le_alt,cOMBB_881934114le_alt(cOMBC_1058495865le_alt(append1166636842le_alt),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt)),Xs)).
% 13.84/13.72 all Xs (rotate1_nat(Xs)=list_c554461815at_nat(nil_nat,cOMBB_472649634at_nat(cOMBC_950362600st_nat(append_nat),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat)),Xs)).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),zero_zero_nat))<->hBOOL(X_1)).
% 13.84/13.72 all X_97 Xs_53 (is_Arr1861959080le_alt(X_97)->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_97),Xs_53)),zero_zero_nat)=X_97).
% 13.84/13.72 all X_97 Xs_53 (hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_97),Xs_53)),zero_zero_nat)=X_97).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_list_bool_bool(distinct_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))<-> -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))<-> -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))<-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))).
% 13.84/13.72 all X_1 N_1 Y_2 (is_Arr1861959080le_alt(X_1)&is_Arr1861959080le_alt(Y_2)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2))))<->X_1=Y_2&N_1!=zero_zero_nat)).
% 13.84/13.72 all X_1 N_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Y_2))))<->X_1=Y_2&N_1!=zero_zero_nat).
% 13.84/13.72 all P_1 N_1 Aa ((exists X_4 (is_Arr1861959080le_alt(X_4)&hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Aa))))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))<->hBOOL(hAPP_A862370221t_bool(P_1,Aa))&N_1!=zero_zero_nat).
% 13.84/13.72 all P_1 N_1 Aa ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Aa))))&hBOOL(hAPP_nat_bool(P_1,X_4))))<->hBOOL(hAPP_nat_bool(P_1,Aa))&N_1!=zero_zero_nat).
% 13.84/13.72 all P_1 N_1 Aa ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Aa))))->hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))<->hBOOL(hAPP_A862370221t_bool(P_1,Aa))|N_1=zero_zero_nat).
% 13.84/13.72 all P_1 N_1 Aa ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Aa))))->hBOOL(hAPP_nat_bool(P_1,X_4))))<->hBOOL(hAPP_nat_bool(P_1,Aa))|N_1=zero_zero_nat).
% 13.84/13.72 all Ys Xs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))-> (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))-> (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Ys))-> (hBOOL(hAPP_list_nat_bool(distinct_nat,Ys))-> (hAPP_l1821533378t_bool(set_nat,Xs)=hAPP_l1821533378t_bool(set_nat,Ys)->Xs=Ys))))).
% 13.84/13.72 all Ys P_1 X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> (-hBOOL(hAPP_A862370221t_bool(P_1,X_1))->takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=takeWh536362254le_alt(P_1,Xs))).
% 13.84/13.72 all Ys P_1 X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> (-hBOOL(hAPP_nat_bool(P_1,X_1))->takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=takeWhile_nat(P_1,Xs))).
% 13.84/13.72 all As (As!=nil_Ar126264853le_alt->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,hAPP_l1105242632le_alt(last_A57386030le_alt,As)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,As)))).
% 13.84/13.72 all As (As!=nil_nat->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_list_nat_nat(last_nat,As)),hAPP_l1821533378t_bool(set_nat,As)))).
% 13.84/13.72 all P_1 Xs (dropWh156852662le_alt(P_1,Xs)=nil_Ar126264853le_alt<-> (all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))).
% 13.84/13.72 all P_1 Xs (dropWhile_nat(P_1,Xs)=nil_nat<-> (all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_4))))).
% 13.84/13.72 all Ys X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(Xs))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(Ys))))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)))))).
% 13.84/13.72 all Ys X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(Xs))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(Ys))))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))))).
% 13.84/13.72 all Xs (Xs!=nil_Ar126264853le_alt->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))).
% 13.84/13.72 all Xs (Xs!=nil_nat->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_list_nat_nat(hd_nat,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.72 all Ys P_1 X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> (-hBOOL(hAPP_A862370221t_bool(P_1,X_1))->dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,dropWh156852662le_alt(P_1,Xs)),Ys))).
% 13.84/13.72 all Ys P_1 X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> (-hBOOL(hAPP_nat_bool(P_1,X_1))->dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,dropWhile_nat(P_1,Xs)),Ys))).
% 13.84/13.72 all X_1 Xs (-hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))->hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)).
% 13.84/13.72 all X_1 Xs (-hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_1),Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)).
% 13.84/13.72 all X_1 Xs (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_1),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)).
% 13.84/13.72 all Ys P_1 Xs ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))->dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=dropWh156852662le_alt(P_1,Ys)).
% 13.84/13.72 all Ys P_1 Xs ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_4))))->dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=dropWhile_nat(P_1,Ys)).
% 13.84/13.72 all Ys P_1 Xs ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))->takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),takeWh536362254le_alt(P_1,Ys))).
% 13.84/13.72 all Ys P_1 Xs ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_4))))->takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),takeWhile_nat(P_1,Ys))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2))& -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Zs_2)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2))& -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2))& -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Zs_2)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2))& -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Ys_6)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2))& -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))<-> (exists Ys_6 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2))& -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Ys_6)))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_bool_bool(P_1,X_4))))-> -(all Ys_6 X_4 (is_bool(X_4)-> ((exists Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Zs_2))))-> -hBOOL(hAPP_bool_bool(P_1,X_4)))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))-> -(all Ys_6 X_4 (is_Arr1861959080le_alt(X_4)-> ((exists Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Zs_2))))-> -hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))))-> -(all Ys_6 X_4 ((exists Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Zs_2))))-> -hBOOL(hAPP_nat_bool(P_1,X_4))))).
% 13.84/13.72 all Q_1 P_1 L_2 K_3 (L_2=K_3-> ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,L_2)))-> (hBOOL(hAPP_A862370221t_bool(P_1,X_4))<->hBOOL(hAPP_A862370221t_bool(Q_1,X_4))))))->dropWh156852662le_alt(P_1,L_2)=dropWh156852662le_alt(Q_1,K_3))).
% 13.84/13.72 all Q_1 P_1 L_2 K_3 (L_2=K_3-> ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,L_2)))-> (hBOOL(hAPP_nat_bool(P_1,X_4))<->hBOOL(hAPP_nat_bool(Q_1,X_4)))))->dropWhile_nat(P_1,L_2)=dropWhile_nat(Q_1,K_3))).
% 13.84/13.72 all Q_1 P_1 L_2 K_3 (L_2=K_3-> ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,L_2)))-> (hBOOL(hAPP_A862370221t_bool(P_1,X_4))<->hBOOL(hAPP_A862370221t_bool(Q_1,X_4))))))->takeWh536362254le_alt(P_1,L_2)=takeWh536362254le_alt(Q_1,K_3))).
% 13.84/13.72 all Q_1 P_1 L_2 K_3 (L_2=K_3-> ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,L_2)))-> (hBOOL(hAPP_nat_bool(P_1,X_4))<->hBOOL(hAPP_nat_bool(Q_1,X_4)))))->takeWhile_nat(P_1,L_2)=takeWhile_nat(Q_1,K_3))).
% 13.84/13.72 all F X_1 Xs (map_fi80499576t_bool(F,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=option718651152l_bool(map_fi80499576t_bool(F,Xs),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),map_fi80499576t_bool(F,Xs)),hAPP_A524667246n_bool(F,X_1))).
% 13.84/13.72 all F X_1 Xs (map_fi2015041583lt_nat(F,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=option306705938at_nat(map_fi2015041583lt_nat(F,Xs),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_fi2015041583lt_nat(F,Xs)),hAPP_A1356081999on_nat(F,X_1))).
% 13.84/13.72 all F X_1 Xs (map_fi695734538le_alt(F,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=option468438226le_alt(map_fi695734538le_alt(F,Xs),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi695734538le_alt(F,Xs)),hAPP_A373227306le_alt(F,X_1))).
% 13.84/13.72 all F X_1 Xs (map_filter_nat_bool(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=option718651152l_bool(map_filter_nat_bool(F,Xs),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),map_filter_nat_bool(F,Xs)),hAPP_nat_option_bool(F,X_1))).
% 13.84/13.72 all F X_1 Xs (map_filter_nat_nat(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=option306705938at_nat(map_filter_nat_nat(F,Xs),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_filter_nat_nat(F,Xs)),hAPP_nat_option_nat(F,X_1))).
% 13.84/13.72 all F X_1 Xs (map_fi302768037le_alt(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=option468438226le_alt(map_fi302768037le_alt(F,Xs),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi302768037le_alt(F,Xs)),hAPP_n2020361039le_alt(F,X_1))).
% 13.84/13.72 all F X_1 Xs (map_fi1996871376le_alt(F,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=option468438226le_alt(map_fi1996871376le_alt(F,Xs),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi1996871376le_alt(F,Xs)),hAPP_b803953466le_alt(F,X_1))).
% 13.84/13.72 all F X_1 Xs (map_filter_bool_nat(F,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=option306705938at_nat(map_filter_bool_nat(F,Xs),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_filter_bool_nat(F,Xs)),hAPP_bool_option_nat(F,X_1))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_bool_bool(P_1,X_4))))-> -(all Ys_6 X_4 (is_bool(X_4)-> ((exists Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Zs_2))))-> (hBOOL(hAPP_bool_bool(P_1,X_4))-> -(all Xa (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,Ys_6)))-> -hBOOL(hAPP_bool_bool(P_1,Xa))))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))-> -(all Ys_6 X_4 (is_Arr1861959080le_alt(X_4)-> ((exists Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Zs_2))))-> (hBOOL(hAPP_A862370221t_bool(P_1,X_4))-> -(all Xa (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6)))-> -hBOOL(hAPP_A862370221t_bool(P_1,Xa))))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))))-> -(all Ys_6 X_4 ((exists Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Zs_2))))-> (hBOOL(hAPP_nat_bool(P_1,X_4))-> -(all Xa (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Ys_6)))-> -hBOOL(hAPP_nat_bool(P_1,Xa)))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_bool_bool(P_1,X_4))))-> -(all Ys_6 X_4 Zs_2 (is_bool(X_4)-> (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Zs_2))-> (hBOOL(hAPP_bool_bool(P_1,X_4))-> -(all Xa (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,Zs_2)))-> -hBOOL(hAPP_bool_bool(P_1,Xa))))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))-> -(all Ys_6 X_4 Zs_2 (is_Arr1861959080le_alt(X_4)-> (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Zs_2))-> (hBOOL(hAPP_A862370221t_bool(P_1,X_4))-> -(all Xa (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2)))-> -hBOOL(hAPP_A862370221t_bool(P_1,Xa))))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))))-> -(all Ys_6 X_4 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Zs_2))-> (hBOOL(hAPP_nat_bool(P_1,X_4))-> -(all Xa (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Zs_2)))-> -hBOOL(hAPP_nat_bool(P_1,Xa)))))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2))& -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Ys_6)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2))& -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2))& -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Ys_6)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2))& -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Zs_2)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2))& -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2))& -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Zs_2)))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2))))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> (exists Ys_6 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (is_bool(X_4)&hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_bool_bool(P_1,X_4))))<-> (exists Ys_6 X_4 (is_bool(X_4)& (exists Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Zs_2))))&hBOOL(hAPP_bool_bool(P_1,X_4))& (all Xa (is_bool(Xa)-> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,Ys_6)))-> -hBOOL(hAPP_bool_bool(P_1,Xa)))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (is_Arr1861959080le_alt(X_4)&hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))<-> (exists Ys_6 X_4 (is_Arr1861959080le_alt(X_4)& (exists Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Zs_2))))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))& (all Xa (is_Arr1861959080le_alt(Xa)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6)))-> -hBOOL(hAPP_A862370221t_bool(P_1,Xa)))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))))<-> (exists Ys_6 X_4 ((exists Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Zs_2))))&hBOOL(hAPP_nat_bool(P_1,X_4))& (all Xa (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Ys_6)))-> -hBOOL(hAPP_nat_bool(P_1,Xa))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (is_bool(X_4)&hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_bool_bool(P_1,X_4))))<-> (exists Ys_6 X_4 Zs_2 (is_bool(X_4)&Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Zs_2))&hBOOL(hAPP_bool_bool(P_1,X_4))& (all Xa (is_bool(Xa)-> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,Zs_2)))-> -hBOOL(hAPP_bool_bool(P_1,Xa)))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (is_Arr1861959080le_alt(X_4)&hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))<-> (exists Ys_6 X_4 Zs_2 (is_Arr1861959080le_alt(X_4)&Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Zs_2))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))& (all Xa (is_Arr1861959080le_alt(Xa)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2)))-> -hBOOL(hAPP_A862370221t_bool(P_1,Xa)))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))))<-> (exists Ys_6 X_4 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Zs_2))&hBOOL(hAPP_nat_bool(P_1,X_4))& (all Xa (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Zs_2)))-> -hBOOL(hAPP_nat_bool(P_1,Xa))))))).
% 13.84/13.72 all X_1 L_2 A (sublist_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),L_2),A)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,if_list_bool(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool),nil_bool)),sublist_bool(L_2,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),A))))).
% 13.84/13.72 all X_1 L_2 A (sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),L_2),A)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,if_lis1340954026le_alt(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt),nil_Ar126264853le_alt)),sublis888024346le_alt(L_2,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),A))))).
% 13.84/13.72 all X_1 L_2 A (sublist_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),L_2),A)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,if_list_nat(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat),nil_nat)),sublist_nat(L_2,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),A))))).
% 13.84/13.72 all X_1 Xs N_1 (hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),hAPP_nat_nat(suc,N_1)))<->hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1))).
% 13.84/13.72 all X_96 Xs_52 N_39 (hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_96),Xs_52)),hAPP_nat_nat(suc,N_39))=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_52),N_39)).
% 13.84/13.72 all X_96 Xs_52 N_39 (hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_96),Xs_52)),hAPP_nat_nat(suc,N_39))=hAPP_nat_nat(nth_nat(Xs_52),N_39)).
% 13.84/13.72 all N_1 X_1 (hAPP_bool_list_bool(replicate_bool(hAPP_nat_nat(suc,N_1)),X_1)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_bool_list_bool(replicate_bool(N_1),X_1))).
% 13.84/13.72 all N_38 X_95 (hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(suc,N_38)),X_95)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_95),hAPP_A832564074le_alt(replic351609551le_alt(N_38),X_95))).
% 13.84/13.72 all N_38 X_95 (hAPP_nat_list_nat(replicate_nat(hAPP_nat_nat(suc,N_38)),X_95)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_95),hAPP_nat_list_nat(replicate_nat(N_38),X_95))).
% 13.84/13.72 all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 13.84/13.72 all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 13.84/13.72 all Nat_5 (hAPP_nat_nat(suc,Nat_5)!=zero_zero_nat).
% 13.84/13.72 all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 13.84/13.72 all Nat_4 (zero_zero_nat!=hAPP_nat_nat(suc,Nat_4)).
% 13.84/13.72 all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 13.84/13.72 all X_1 Xs N_1 (hAPP_nat_list_nat(nth_list_nat(hAPP_l1734754389st_nat(hAPP_l1872445307st_nat(cons_list_nat,X_1),Xs)),N_1)=hAPP_nat_list_nat(nat_case_list_nat(X_1,nth_list_nat(Xs)),N_1)).
% 13.84/13.72 all X_1 Xs N_1 (hAPP_n1875670159le_alt(nth_li2119471145le_alt(hAPP_l1891879573le_alt(hAPP_l656323104le_alt(cons_l650111674le_alt,X_1),Xs)),N_1)=hAPP_n1875670159le_alt(nat_ca14895078le_alt(X_1,nth_li2119471145le_alt(Xs)),N_1)).
% 13.84/13.72 all X_1 Xs N_1 (hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),N_1))<->hBOOL(hAPP_nat_bool(nat_case_bool(X_1,nth_bool(Xs)),N_1))).
% 13.84/13.72 all X_1 Xs N_1 (hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)),N_1)=hAPP_n401316912le_alt(nat_ca391302041le_alt(X_1,nth_Ar1113433366le_alt(Xs)),N_1)).
% 13.84/13.72 all X_1 Xs N_1 (hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)),N_1)=hAPP_nat_nat(nat_case_nat(X_1,nth_nat(Xs)),N_1)).
% 13.84/13.72 all F1 F2 (hAPP_nat_list_nat(nat_case_list_nat(F1,F2),zero_zero_nat)=F1).
% 13.84/13.72 all F1 F2 (hAPP_n1875670159le_alt(nat_ca14895078le_alt(F1,F2),zero_zero_nat)=F1).
% 13.84/13.72 all F1 F2 (is_Arr1861959080le_alt(F1)->hAPP_n401316912le_alt(nat_ca391302041le_alt(F1,F2),zero_zero_nat)=F1).
% 13.84/13.72 all F1 F2 (hAPP_nat_nat(nat_case_nat(F1,F2),zero_zero_nat)=F1).
% 13.84/13.72 all F1 F2 (hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),zero_zero_nat))<->hBOOL(F1)).
% 13.84/13.72 all F1 F2 Nat_3 (hAPP_nat_list_nat(nat_case_list_nat(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_nat_list_nat(F2,Nat_3)).
% 13.84/13.72 all F1 F2 Nat_3 (hAPP_n1875670159le_alt(nat_ca14895078le_alt(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_n1875670159le_alt(F2,Nat_3)).
% 13.84/13.72 all F1 F2 Nat_3 (hAPP_n401316912le_alt(nat_ca391302041le_alt(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_n401316912le_alt(F2,Nat_3)).
% 13.84/13.72 all F1 F2 Nat_3 (hAPP_nat_nat(nat_case_nat(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_nat_nat(F2,Nat_3)).
% 13.84/13.72 all F1 F2 Nat_3 (hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),hAPP_nat_nat(suc,Nat_3)))<->hBOOL(hAPP_nat_bool(F2,Nat_3))).
% 13.84/13.72 all N (N!=hAPP_nat_nat(suc,N)).
% 13.84/13.72 all N (hAPP_nat_nat(suc,N)!=N).
% 13.84/13.72 all Nat_3 Nat_2 (hAPP_nat_nat(suc,Nat_3)=hAPP_nat_nat(suc,Nat_2)<->Nat_3=Nat_2).
% 13.84/13.72 all X Y (hAPP_nat_nat(suc,X)=hAPP_nat_nat(suc,Y)->X=Y).
% 13.84/13.72 all N (N!=zero_zero_nat-> (exists M_5 (N=hAPP_nat_nat(suc,M_5)))).
% 13.84/13.72 all N_1 P_1 (hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> ((all N_19 (hBOOL(hAPP_nat_bool(P_1,N_19))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_19)))))->hBOOL(hAPP_nat_bool(P_1,N_1)))).
% 13.84/13.72 all P_1 K_3 (hBOOL(hAPP_nat_bool(P_1,K_3))-> ((all N_19 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_19)))->hBOOL(hAPP_nat_bool(P_1,N_19))))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))).
% 13.84/13.72 all Y (Y!=zero_zero_nat-> -(all Nat_1 (Y!=hAPP_nat_nat(suc,Nat_1)))).
% 13.84/13.72 all N_1 Xs (Xs!=nil_bool->hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,N_1)),Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_list_bool_bool(hd_bool,Xs)),hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),tl_bool(Xs)))).
% 13.84/13.72 all N_37 Xs_51 (Xs_51!=nil_Ar126264853le_alt->hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,N_37)),Xs_51)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_51)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_37),tl_Arr1453005548le_alt(Xs_51)))).
% 13.84/13.72 all N_37 Xs_51 (Xs_51!=nil_nat->hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,N_37)),Xs_51)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_list_nat_nat(hd_nat,Xs_51)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_37),tl_nat(Xs_51)))).
% 13.84/13.72 all X_1 Xs (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord297828738at_nat(cOMBI_nat),X_1),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs)).
% 13.84/13.72 all P_1 X_1 Xs (hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))<-> (hBOOL(hAPP_bool_bool(P_1,X_1))->hBOOL(hAPP_list_bool_bool(list_all_bool(cOMBS_bool_bool_bool(cOMBB_1914122979l_bool(fdisj,cOMBB_bool_bool_bool(fNot,P_1)),hAPP_b589554111l_bool(fe_qual_bool,X_1))),Xs)))& (-hBOOL(hAPP_bool_bool(P_1,X_1))->hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),Xs)))).
% 13.84/13.72 all P_1 X_1 Xs (hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))<-> (hBOOL(hAPP_A862370221t_bool(P_1,X_1))->hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(cOMBS_1393264256l_bool(cOMBB_803794783le_alt(fdisj,cOMBB_2104979073le_alt(fNot,P_1)),hAPP_A1664620203t_bool(fe_qual1160105444le_alt,X_1))),Xs)))& (-hBOOL(hAPP_A862370221t_bool(P_1,X_1))->hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs)))).
% 13.84/13.72 all P_1 X_1 Xs (hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))<-> (hBOOL(hAPP_nat_bool(P_1,X_1))->hBOOL(hAPP_list_nat_bool(list_all_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,cOMBB_bool_bool_nat(fNot,P_1)),hAPP_n1699378549t_bool(fe_qual_nat,X_1))),Xs)))& (-hBOOL(hAPP_nat_bool(P_1,X_1))->hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs)))).
% 13.84/13.72 all Aa Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Aa),hAPP_l1821533378t_bool(set_nat,Xs)))-> (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),Aa),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Aa),Xs))=Xs)).
% 13.84/13.72 all X_94 Y_64 Zs_3 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_94),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Y_64),Zs_3))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Y_64),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_94),Zs_3))).
% 13.84/13.72 all X_94 Y_64 Zs_3 (hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_94),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Y_64),Zs_3))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Y_64),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_94),Zs_3))).
% 13.84/13.72 all N_36 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_36),nil_Ar126264853le_alt)=nil_Ar126264853le_alt).
% 13.84/13.72 all N_36 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_36),nil_nat)=nil_nat).
% 13.84/13.72 all X_1 N_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs))))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))).
% 13.84/13.72 all X_1 N_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs))))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.72 all I_12 Xs_50 (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_50))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,I_12),Xs_50)))).
% 13.84/13.72 all I_12 Xs_50 (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_50))->hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,I_12),Xs_50)))).
% 13.84/13.72 all N_35 Xs_49 (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_49))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_35),Xs_49)))).
% 13.84/13.72 all Xs Y_2 X_1 (((hBOOL(X_1)<->hBOOL(Y_2))->hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Xs))=Xs)& ((hBOOL(X_1)<-> -hBOOL(Y_2))->hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),Xs)))).
% 13.84/13.72 all Xs_48 X_93 Y_63 (is_Arr1861959080le_alt(X_93)&is_Arr1861959080le_alt(Y_63)-> (X_93=Y_63->hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_93),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_63),Xs_48))=Xs_48)& (X_93!=Y_63->hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_93),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_63),Xs_48))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_63),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_93),Xs_48)))).
% 13.84/13.72 all Xs_48 X_93 Y_63 ((X_93=Y_63->hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_93),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_63),Xs_48))=Xs_48)& (X_93!=Y_63->hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_93),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_63),Xs_48))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_63),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_93),Xs_48)))).
% 13.84/13.72 all X_92 (hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_92),nil_Ar126264853le_alt)=nil_Ar126264853le_alt).
% 13.84/13.72 all X_92 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_92),nil_nat)=nil_nat).
% 13.84/13.72 all Xs Aa Ba (is_Arr1861959080le_alt(Aa)&is_Arr1861959080le_alt(Ba)-> (Aa!=Ba-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Aa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Ba),Xs))))<->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Aa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))))).
% 13.84/13.72 all Xs Aa Ba (Aa!=Ba-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Aa),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Ba),Xs))))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Aa),hAPP_l1821533378t_bool(set_nat,Xs))))).
% 13.84/13.72 all Y_2 X_1 Xs (-hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Y_2),Xs))))).
% 13.84/13.72 all Y_2 X_1 Xs (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Y_2),Xs))))).
% 13.84/13.72 all X_1 Xs (-hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),Xs)=Xs).
% 13.84/13.72 all X_1 Xs (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),Xs)=Xs).
% 13.84/13.72 all X_91 Xs_47 (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_47))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_91),Xs_47)))).
% 13.84/13.72 all X_91 Xs_47 (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_47))->hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_91),Xs_47)))).
% 13.84/13.72 all A_83 Xs_46 (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_46))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,A_83),Xs_46)))).
% 13.84/13.72 all P_1 X_1 Xs (hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))<->hBOOL(hAPP_bool_bool(P_1,X_1))&hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),Xs))).
% 13.84/13.72 all P_1 X_1 Xs (hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))<->hBOOL(hAPP_A862370221t_bool(P_1,X_1))&hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))).
% 13.84/13.72 all P_1 X_1 Xs (hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))<->hBOOL(hAPP_nat_bool(P_1,X_1))&hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))).
% 13.84/13.72 all P_1 hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),nil_Ar126264853le_alt)).
% 13.84/13.72 all P_1 hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),nil_nat)).
% 13.84/13.72 all P_1 Xs (hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))<-> (all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))).
% 13.84/13.72 all P_1 Xs (hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))<-> (all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_4))))).
% 13.84/13.72 all P_1 Xs Ys (hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)))<->hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))&hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Ys))).
% 13.84/13.72 all P_1 Xs Ys (hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))<->hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))&hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Ys))).
% 13.84/13.72 all P_1 Xs (hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),rev_nat(Xs)))<->hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))).
% 13.84/13.72 all P_1 Xs (hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),rev_Ar2093961333le_alt(Xs)))<->hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))).
% 13.84/13.72 all Xs_45 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,zero_zero_nat),Xs_45)=nil_Ar126264853le_alt).
% 13.84/13.72 all Xs_45 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,zero_zero_nat),Xs_45)=nil_nat).
% 13.84/13.72 all N_1 Xs (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs)=nil_Ar126264853le_alt<->N_1=zero_zero_nat|Xs=nil_Ar126264853le_alt).
% 13.84/13.72 all N_1 Xs (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs)=nil_nat<->N_1=zero_zero_nat|Xs=nil_nat).
% 13.84/13.72 all N_1 X_1 Xs (hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,N_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs))).
% 13.84/13.72 all N_34 X_90 Xs_44 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,N_34)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_90),Xs_44))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_90),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_34),Xs_44))).
% 13.84/13.72 all N_34 X_90 Xs_44 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,N_34)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_90),Xs_44))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_90),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_34),Xs_44))).
% 13.84/13.72 all X_1 Xs (hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs))=Xs).
% 13.84/13.72 all N_33 Xs_43 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_33),tl_Arr1453005548le_alt(Xs_43))=tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,N_33)),Xs_43))).
% 13.84/13.72 all N_33 Xs_43 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_33),tl_nat(Xs_43))=tl_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,N_33)),Xs_43))).
% 13.84/13.72 all N_1 X_1 Xs (hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_nat_list_bool(nat_case_list_bool(nil_bool,cOMBB_1891801486ol_nat(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1656175496t_bool(cOMBC_1038295629t_bool(take_bool),Xs))),N_1)).
% 13.84/13.72 all N_1 X_1 Xs (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=hAPP_n1875670159le_alt(nat_ca14895078le_alt(nil_Ar126264853le_alt,cOMBB_903467948lt_nat(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),hAPP_l382792410le_alt(cOMBC_1511969967le_alt(take_A1601602045le_alt),Xs))),N_1)).
% 13.84/13.72 all N_1 X_1 Xs (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_nat_list_nat(nat_case_list_nat(nil_nat,cOMBB_850496866at_nat(hAPP_n280362926st_nat(cons_nat,X_1),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(take_nat),Xs))),N_1)).
% 13.84/13.72 all F X_1 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))->hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord297828738at_nat(F),X_1),Xs)))).
% 13.84/13.72 all Ys X_1 Xs ((hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),Xs)),Ys))& (-hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),Ys)))).
% 13.84/13.72 all Ys X_1 Xs ((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),Xs)),Ys))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),Ys)))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord297828738at_nat(cOMBI_nat),X_1),Xs)=Xs).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord297828738at_nat(cOMBI_nat),X_1),Xs)))).
% 13.84/13.72 all G F Xs Ys (Xs=Ys-> ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys)))-> (hBOOL(hAPP_A862370221t_bool(F,X_4))<->hBOOL(hAPP_A862370221t_bool(G,X_4))))))-> (hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))<->hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys))))).
% 13.84/13.72 all G F Xs Ys (Xs=Ys-> ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Ys)))-> (hBOOL(hAPP_nat_bool(F,X_4))<->hBOOL(hAPP_nat_bool(G,X_4)))))-> (hBOOL(hAPP_list_nat_bool(list_all_nat(F),Xs))<->hBOOL(hAPP_list_nat_bool(list_all_nat(G),Ys))))).
% 13.84/13.72 all Xs_42 Ys_14 ((all I_4 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,I_4),Xs_42)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,I_4),Ys_14)))->Xs_42=Ys_14).
% 13.84/13.72 all Xs_42 Ys_14 ((all I_4 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,I_4),Xs_42)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,I_4),Ys_14)))->Xs_42=Ys_14).
% 13.84/13.72 all Fa Aa List_1 (list_size_bool(Fa,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_bool_nat(Fa,Aa)),list_size_bool(Fa,List_1))),hAPP_nat_nat(suc,zero_zero_nat))).
% 13.84/13.72 all Fa Aa List_1 (list_s1237850263le_alt(Fa,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Aa),List_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_A2113590458lt_nat(Fa,Aa)),list_s1237850263le_alt(Fa,List_1))),hAPP_nat_nat(suc,zero_zero_nat))).
% 13.84/13.72 all Fa Aa List_1 (list_size_nat(Fa,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),List_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(Fa,Aa)),list_size_nat(Fa,List_1))),hAPP_nat_nat(suc,zero_zero_nat))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))-> (exists Ys_6 X_4 (is_Arr1861959080le_alt(X_4)& (exists Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Zs_2))))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))))-> (exists Ys_6 X_4 ((exists Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Zs_2))))&hBOOL(hAPP_nat_bool(P_1,X_4))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_bool_bool(P_1,X_4))))-> (exists Ys_6 X_4 (is_bool(X_4)& (exists Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Zs_2))))&hBOOL(hAPP_bool_bool(P_1,X_4))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))-> (exists Ys_6 X_4 Zs_2 (is_Arr1861959080le_alt(X_4)&Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Zs_2))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))& (all Xa (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2)))-> -hBOOL(hAPP_A862370221t_bool(P_1,Xa))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))))-> (exists Ys_6 X_4 Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Zs_2))&hBOOL(hAPP_nat_bool(P_1,X_4))& (all Xa (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Zs_2)))-> -hBOOL(hAPP_nat_bool(P_1,Xa))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_bool_bool(P_1,X_4))))-> (exists Ys_6 X_4 Zs_2 (is_bool(X_4)&Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Zs_2))&hBOOL(hAPP_bool_bool(P_1,X_4))& (all Xa (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,Zs_2)))-> -hBOOL(hAPP_bool_bool(P_1,Xa))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))))-> (exists Ys_6 X_4 (is_Arr1861959080le_alt(X_4)& (exists Zs_2 (Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Zs_2))))&hBOOL(hAPP_A862370221t_bool(P_1,X_4))& (all Xa (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6)))-> -hBOOL(hAPP_A862370221t_bool(P_1,Xa))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))&hBOOL(hAPP_nat_bool(P_1,X_4))))-> (exists Ys_6 X_4 ((exists Zs_2 (Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Zs_2))))&hBOOL(hAPP_nat_bool(P_1,X_4))& (all Xa (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Ys_6)))-> -hBOOL(hAPP_nat_bool(P_1,Xa))))))).
% 13.84/13.72 all P_1 Xs ((exists X_4 (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))&hBOOL(hAPP_bool_bool(P_1,X_4))))-> (exists Ys_6 X_4 (is_bool(X_4)& (exists Zs_2 (Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Zs_2))))&hBOOL(hAPP_bool_bool(P_1,X_4))& (all Xa (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,Ys_6)))-> -hBOOL(hAPP_bool_bool(P_1,Xa))))))).
% 13.84/13.72 all Xs (rev_nat(Xs)=foldl_list_nat_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat,Xs)).
% 13.84/13.72 all Xs (rev_Ar2093961333le_alt(Xs)=foldl_1200072380le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt,Xs)).
% 13.84/13.72 all Xs (rev_bool(Xs)=foldl_list_bool_bool(cOMBC_80330970t_bool(cons_bool),nil_bool,Xs)).
% 13.84/13.72 all X_1 Zs (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),foldl_nat_nat(plus_plus_nat,zero_zero_nat,Zs))=foldl_nat_nat(plus_plus_nat,X_1,Zs)).
% 13.84/13.72 all B_70 A_82 C_43 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_70),A_82)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_43),A_82)->B_70=C_43).
% 13.84/13.72 all A_81 B_69 C_42 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),B_69)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),C_42)->B_69=C_42).
% 13.84/13.72 all A_80 B_68 C_41 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_80),B_68)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_80),C_41)->B_68=C_41).
% 13.84/13.72 all Ba Aa C_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)<->Ba=C_2).
% 13.84/13.72 all Aa Ba C_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ba)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)<->Ba=C_2).
% 13.84/13.72 all A_79 B_67 C_40 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_79),B_67)),C_40)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_79),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_67),C_40))).
% 13.84/13.72 all X_1 Y_2 Zs (foldl_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2),Zs)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),foldl_nat_nat(plus_plus_nat,Y_2,Zs))).
% 13.84/13.72 all M_1 K_3 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_3)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_3)<->M_1=N_1).
% 13.84/13.72 all K_3 M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)<->M_1=N_1).
% 13.84/13.72 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))).
% 13.84/13.72 all X Y Z_3 (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_3))=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_3))).
% 13.84/13.72 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)).
% 13.84/13.72 all A_78 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_78),zero_zero_nat)=A_78).
% 13.84/13.72 all A_77 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_77),zero_zero_nat)=A_77).
% 13.84/13.72 all A_76 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_76)=A_76).
% 13.84/13.72 all A_75 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_75)=A_75).
% 13.84/13.72 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=M->N=zero_zero_nat).
% 13.84/13.72 all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=zero_zero_nat<->M_1=zero_zero_nat&N_1=zero_zero_nat).
% 13.84/13.72 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),zero_zero_nat)=M).
% 13.84/13.72 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N)=N).
% 13.84/13.72 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))).
% 13.84/13.72 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))).
% 13.84/13.72 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))).
% 13.84/13.72 all F Aa X_1 Xs (foldl_nat_nat(F,Aa,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=foldl_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,Aa),X_1),Xs)).
% 13.84/13.72 all F Aa (foldl_nat_nat(F,Aa,nil_nat)=Aa).
% 13.84/13.72 all F Aa Xs Ys (foldl_nat_nat(F,Aa,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=foldl_nat_nat(F,foldl_nat_nat(F,Aa,Xs),Ys)).
% 13.84/13.72 all M_1 N_1 (hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)<->M_1=hAPP_nat_nat(suc,zero_zero_nat)&N_1=zero_zero_nat|M_1=zero_zero_nat&N_1=hAPP_nat_nat(suc,zero_zero_nat)).
% 13.84/13.72 all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=hAPP_nat_nat(suc,zero_zero_nat)<->M_1=hAPP_nat_nat(suc,zero_zero_nat)&N_1=zero_zero_nat|M_1=zero_zero_nat&N_1=hAPP_nat_nat(suc,zero_zero_nat)).
% 13.84/13.72 all N_32 M_8 X_89 (hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_32),M_8)),X_89)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_32),X_89)),hAPP_A832564074le_alt(replic351609551le_alt(M_8),X_89))).
% 13.84/13.72 all N_32 M_8 X_89 (hAPP_nat_list_nat(replicate_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_32),M_8)),X_89)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(N_32),X_89)),hAPP_nat_list_nat(replicate_nat(M_8),X_89))).
% 13.84/13.72 all S_2 Xs F ((all X_4 Y_25 S_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,S_3),X_4)),Y_25)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,S_3),Y_25)),X_4)))->foldl_nat_nat(F,S_2,rev_nat(Xs))=foldl_nat_nat(F,S_2,Xs)).
% 13.84/13.72 all F G L_2 K_3 Aa Ba (Aa=Ba-> (L_2=K_3-> ((all A_74 X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,L_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,A_74),X_4)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(G,A_74),X_4)))->foldl_nat_nat(F,Aa,L_2)=foldl_nat_nat(G,Ba,K_3)))).
% 13.84/13.72 all F Xs P_1 S_2 (hBOOL(hAPP_nat_bool(P_1,S_2))-> ((all S_3 X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))-> (hBOOL(hAPP_nat_bool(P_1,S_3))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,S_3),X_4))))))->hBOOL(hAPP_nat_bool(P_1,foldl_nat_nat(F,S_2,Xs))))).
% 13.84/13.72 all Xs (linord852754176at_nat(cOMBI_nat,Xs)=foldl_list_nat_nat(cOMBC_1204473209st_nat(linord1850739451at_nat(cOMBI_nat)),nil_nat,Xs)).
% 13.84/13.72 all A_73 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_73)=A_73).
% 13.84/13.72 all A_72 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_72),zero_zero_nat)=A_72).
% 13.84/13.72 all Ba Aa (Ba=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)<->Aa=zero_zero_nat).
% 13.84/13.72 all M_1 Ns (foldl_nat_nat(plus_plus_nat,M_1,Ns)=zero_zero_nat<->M_1=zero_zero_nat& (all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Ns)))->X_4=zero_zero_nat))).
% 13.84/13.72 all Xs hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,linord852754176at_nat(cOMBI_nat,Xs))).
% 13.84/13.72 all A_71 B_66 C_39 D_9 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_71),B_66)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_39),D_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_71),C_39)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_66),D_9))).
% 13.84/13.72 all A_70 B_65 C_38 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_70),B_65)),C_38)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_70),C_38)),B_65)).
% 13.84/13.72 all A_69 B_64 C_37 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_69),B_64)),C_37)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_69),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_64),C_37))).
% 13.84/13.72 all A_68 C_36 D_8 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_68),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_36),D_8))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_68),C_36)),D_8)).
% 13.84/13.72 all A_67 C_35 D_7 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_67),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_35),D_7))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_35),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_67),D_7))).
% 13.84/13.72 all A_66 C_34 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_66),C_34)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_34),A_66)).
% 13.84/13.72 all F X_1 Xs (linord852754176at_nat(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),linord852754176at_nat(F,Xs))).
% 13.84/13.72 all S_2 Xs X_1 F ((all X_4 Y_25 S_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,S_3),X_4)),Y_25)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,S_3),Y_25)),X_4)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,foldl_nat_nat(F,S_2,Xs)),X_1)=foldl_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,S_2),X_1),Xs)).
% 13.84/13.72 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))).
% 13.84/13.72 all Xs (foldl_nat_nat(plus_plus_nat,zero_zero_nat,Xs)=hAPP_nat_nat(foldr_nat_nat(plus_plus_nat,Xs),zero_zero_nat)).
% 13.84/13.72 all Aa Xs (foldl_nat_nat(plus_plus_nat,Aa,Xs)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),hAPP_nat_nat(foldr_nat_nat(plus_plus_nat,Xs),zero_zero_nat))).
% 13.84/13.72 all F P_1 Xs Q_1 X_1 (hBOOL(hAPP_nat_bool(Q_1,X_1))-> ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_4))))-> ((all X_4 Y_25 (hBOOL(hAPP_nat_bool(P_1,X_4))&hBOOL(hAPP_nat_bool(Q_1,Y_25))->hBOOL(hAPP_nat_bool(Q_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,Y_25),X_4)))))->hBOOL(hAPP_nat_bool(Q_1,foldl_nat_nat(F,X_1,Xs)))))).
% 13.84/13.72 hAPP_nat_nat(nat_size,zero_zero_nat)=zero_zero_nat.
% 13.84/13.72 all Xs Aa (hAPP_nat_nat(foldr_nat_nat(plus_plus_nat,Xs),Aa)=foldl_nat_nat(plus_plus_nat,Aa,Xs)).
% 13.84/13.72 all F Xs Aa (hAPP_nat_nat(foldr_nat_nat(F,Xs),Aa)=foldl_nat_nat(cOMBC_nat_nat_nat(F),Aa,rev_nat(Xs))).
% 13.84/13.72 all F Aa Xs (foldl_nat_nat(F,Aa,Xs)=hAPP_nat_nat(foldr_nat_nat(cOMBC_nat_nat_nat(F),rev_nat(Xs)),Aa)).
% 13.84/13.72 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))).
% 13.84/13.72 all Y_2 Xs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,rev_nat(Xs)))-> (Xs=nil_nat->hAPP_nat_nat(foldr_nat_nat(ord_max_nat,Xs),Y_2)=Y_2)& (Xs!=nil_nat->hAPP_nat_nat(foldr_nat_nat(ord_max_nat,Xs),Y_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(nth_nat(Xs),zero_zero_nat)),Y_2))).
% 13.84/13.72 all N_1 Ns (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_1),hAPP_l1821533378t_bool(set_nat,Ns)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),foldl_nat_nat(plus_plus_nat,zero_zero_nat,Ns)))).
% 13.84/13.72 hAPP_bool_nat(bool_size,fTrue)=zero_zero_nat.
% 13.84/13.72 hAPP_bool_nat(bool_size,fFalse)=zero_zero_nat.
% 13.84/13.72 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 13.84/13.72 all N (hAPP_nat_nat(size_size_nat,N)=N).
% 13.84/13.72 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 13.84/13.72 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))).
% 13.84/13.72 all M N (M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 13.84/13.72 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K)))).
% 13.84/13.72 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->M=N)).
% 13.84/13.72 all X_88 Y_62 Z_26 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_88),Y_62)),Z_26)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_88),Z_26)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_62),Z_26))).
% 13.84/13.72 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N),zero_zero_nat)=N).
% 13.84/13.72 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,zero_zero_nat),N)=N).
% 13.84/13.72 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M),N))).
% 13.84/13.72 all Aa C_2 Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))).
% 13.84/13.72 all C_2 Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))).
% 13.84/13.72 all C_33 A_65 B_63 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_65),B_63))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_65),C_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_63),C_33)))).
% 13.84/13.72 all C_32 A_64 B_62 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_64),B_62))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_32),A_64)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_32),B_62)))).
% 13.84/13.72 all C_31 D_6 A_63 B_61 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_63),B_61))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_31),D_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_63),C_31)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_61),D_6))))).
% 13.84/13.72 all A_62 C_30 B_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_62),C_30)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_60),C_30)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_62),B_60))).
% 13.84/13.72 all C_29 A_61 B_59 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_29),A_61)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_29),B_59)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_61),B_59))).
% 13.84/13.72 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 13.84/13.72 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),zero_zero_nat))<->N_1=zero_zero_nat).
% 13.84/13.72 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),N))).
% 13.84/13.72 all M_1 N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_1))).
% 13.84/13.72 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|M_1=hAPP_nat_nat(suc,N_1)).
% 13.84/13.72 all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),hAPP_nat_nat(suc,M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))).
% 13.84/13.72 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))).
% 13.84/13.72 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->M=hAPP_nat_nat(suc,N))).
% 13.84/13.72 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 13.84/13.72 all N M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))).
% 13.84/13.72 all N M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M))).
% 13.84/13.72 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))<-> (exists K_2 (N_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)))).
% 13.84/13.72 all K_3 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 13.84/13.72 all M I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M)))).
% 13.84/13.72 all M I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),J)))).
% 13.84/13.72 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K)))).
% 13.84/13.72 all K L I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L))))).
% 13.84/13.72 all M K N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_e_q_nat,K),N))).
% 13.84/13.72 all M K N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 13.84/13.72 all M K N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_e_q_nat,M),N))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N)))).
% 13.84/13.72 all N_1 M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,N_1)),M_1)=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N_1),cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(ord_max_nat,N_1))),M_1)).
% 13.84/13.72 all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N_1),cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(ord_max_nat),N_1))),M_1)).
% 13.84/13.72 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))<->hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1)),N_1))).
% 13.84/13.72 all B_58 A_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_60),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_58),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_60),B_58)),zero_zero_nat)))).
% 13.84/13.72 all B_57 A_59 C_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_28))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_57),A_59))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_57),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_59),C_28))))).
% 13.84/13.72 all B_56 C_27 A_58 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_58))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_56),C_27))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_56),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_58),C_27))))).
% 13.84/13.72 all Y_2 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)=zero_zero_nat<->X_1=zero_zero_nat&Y_2=zero_zero_nat))).
% 13.84/13.72 all B_55 A_57 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_57))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_55))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_57),B_55))))).
% 13.84/13.72 all Zs_1 X_87 Y_61 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_87),Y_61))-> (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_61),Zs_1)))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_87),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_61),Zs_1)))))).
% 13.84/13.72 all X_1 Y_2 Zs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Zs))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))&hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Zs)))).
% 13.84/13.72 all Ys F X_1 Y_2 ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,X_1)),hAPP_nat_nat(F,Y_2)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,X_1)),hAPP_nat_nat(F,Y_2)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Ys)))).
% 13.84/13.72 all Y_2 F X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),hAPP_A2113590458lt_nat(F,X_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),list_s1237850263le_alt(F,Xs))))).
% 13.84/13.72 all Y_2 F X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),hAPP_nat_nat(F,X_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),list_size_nat(F,Xs))))).
% 13.84/13.72 hAPP_nat_nat(size_size_nat,zero_zero_nat)=zero_zero_nat.
% 13.84/13.72 all Ns M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),foldl_nat_nat(plus_plus_nat,N_1,Ns)))).
% 13.84/13.72 all X_1 Xs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))<->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))& (all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),X_4))))).
% 13.84/13.72 all Xs Ys (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))<->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))&hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Ys))& (all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))-> (all Xa (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Ys)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Xa))))))).
% 13.84/13.72 all Aa (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Aa))<->Aa=nil_nat| (exists Xs_19 X_4 (Aa=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19)& (all Xa (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Xs_19)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Xa))))&hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_19))))).
% 13.84/13.72 all F Aa Xs ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,Aa)),hAPP_nat_nat(F,X_4)))))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Aa),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),Xs)).
% 13.84/13.72 all X_1 Xs ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),X_4))))-> (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))))).
% 13.84/13.72 all N_1 N_20 F ((all N_19 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,N_19)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_19)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_20))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,N_20))))).
% 13.84/13.72 all N M_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M_7))-> (exists M_5 (M_7=hAPP_nat_nat(suc,M_5)))).
% 13.84/13.72 all X_86 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_86),X_86)).
% 13.84/13.72 all Xs X_1 hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))).
% 13.84/13.72 all Xs X_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,Xs)),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))).
% 13.84/13.72 all Xs X_1 hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_l96088310l_bool(set_bool,Xs)),hAPP_l96088310l_bool(set_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))).
% 13.84/13.72 all N_1 Xs hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.84/13.72 all N_1 Xs hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs))),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.84/13.72 all X_1 Xs hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.84/13.72 all X_1 Xs hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),Xs))),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.84/13.72 all Xs I_11 hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,sublis888024346le_alt(Xs,I_11))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.84/13.72 all Xs I_11 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,sublist_nat(Xs,I_11))),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.84/13.72 all X_85 Y_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_85),Y_60))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_60),X_85))).
% 13.84/13.72 all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))).
% 13.84/13.72 all X_84 Y_59 (X_84=Y_59->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_84),Y_59))).
% 13.84/13.72 all Y_2 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->X_1=Y_2)).
% 13.84/13.72 all C_26 A_56 B_54 (A_56=B_54-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_54),C_26))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_56),C_26)))).
% 13.84/13.72 all C_25 A_55 B_53 (A_55=B_53-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_25),B_53))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_25),A_55)))).
% 13.84/13.72 all C_24 A_54 B_52 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_54),B_52))-> (B_52=C_24->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_54),C_24)))).
% 13.84/13.72 all C_23 B_51 A_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_51),A_53))-> (B_51=C_23->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_23),A_53)))).
% 13.84/13.72 all X_83 Y_58 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_83),Y_58))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_58),X_83))->X_83=Y_58)).
% 13.84/13.72 all Z_25 X_82 Y_57 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_82),Y_57))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_57),Z_25))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_82),Z_25)))).
% 13.84/13.72 all Y_56 X_81 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_56),X_81))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_81),Y_56))->X_81=Y_56)).
% 13.84/13.72 all Z_24 Y_55 X_80 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_55),X_80))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_24),Y_55))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_24),X_80)))).
% 13.84/13.72 all X_79 Y_54 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_79),Y_54))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_54),X_79))).
% 13.84/13.72 all Xs M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,M_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs))))).
% 13.84/13.72 all Xs M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,M_1),Xs))),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs))))).
% 13.84/13.72 all Z X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),Y_2))).
% 13.84/13.72 all X_78 Least_3 ((all X_4 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Least_3),X_4)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_78),Least_3)=X_78).
% 13.84/13.72 all X_77 Least_2 ((all X_4 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Least_2),X_4)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Least_2),X_77)=X_77).
% 13.84/13.72 ord_max_nat=max_nat(ord_less_e_q_nat).
% 13.84/13.72 all Z_3 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_3)))).
% 13.84/13.72 all Y X Z_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Z_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_3)))).
% 13.84/13.72 all C_2 A B (hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)))).
% 13.84/13.72 all C_2 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)))).
% 13.84/13.72 all A_52 B_50 X_76 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_52),B_50)),X_76))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_52),X_76))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_50),X_76)))).
% 13.84/13.72 all B_49 D_5 A_51 C_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_51),C_22))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_49),D_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_51),B_49)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,C_22),D_5))))).
% 13.84/13.72 all X_1 A B (hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),B)))).
% 13.84/13.72 all X_1 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)))).
% 13.84/13.72 all B X_1 A (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))-> (hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),B)))).
% 13.84/13.72 all B X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)))).
% 13.84/13.72 all X_1 A B (hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),B)))).
% 13.84/13.72 all X_1 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)))).
% 13.84/13.72 all A_50 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_50),A_50)=A_50).
% 13.84/13.72 all A_49 B_48 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_49),B_48)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B_48),A_49)).
% 13.84/13.72 all X_75 Y_53 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_75),Y_53)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_53),X_75)).
% 13.84/13.72 all A_48 B_47 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_48),B_47))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_48),B_47)).
% 13.84/13.72 all X_74 Y_52 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_74),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_74),Y_52))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_74),Y_52)).
% 13.84/13.72 all B_46 A_47 C_21 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B_46),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_47),C_21))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B_46),C_21))).
% 13.84/13.72 all X_73 Y_51 Z_23 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_73),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_51),Z_23))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_51),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_73),Z_23))).
% 13.84/13.72 all A_46 B_45 C_20 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_46),B_45)),C_20)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_46),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B_45),C_20))).
% 13.84/13.72 all X_72 Y_50 Z_22 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_72),Y_50)),Z_22)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_72),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_50),Z_22))).
% 13.84/13.72 all X_71 Y_49 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_71),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_71),Y_49))).
% 13.84/13.72 all Y_48 X_70 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_70),Y_48))).
% 13.84/13.72 all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)=Y_2).
% 13.84/13.72 all X_1 Y_2 Z (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)),Z))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),Z))).
% 13.84/13.72 all B_44 X_69 A_45 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_69),A_45))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_69),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_45),B_44)))).
% 13.84/13.72 all A_44 X_68 B_43 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_68),B_43))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_68),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_44),B_43)))).
% 13.84/13.72 all X_67 Y_47 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_67),Y_47))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_67),Y_47)=Y_47).
% 13.84/13.72 all Y_46 X_66 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_46),X_66))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_66),Y_46)=X_66).
% 13.84/13.72 all B_42 A_43 X_65 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_43),X_65))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_42),X_65))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_43),B_42)),X_65)))).
% 13.84/13.72 all Z_21 Y_45 X_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_45),X_64))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_21),X_64))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_45),Z_21)),X_64)))).
% 13.84/13.72 all B A ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),A))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),B)))))->hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))).
% 13.84/13.72 all B A ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),B))))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))).
% 13.84/13.72 all F ((all I_4 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,I_4))),hAPP_nat_nat(F,I_4))))-> (exists I_4 all K_2 (hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_4),K_2))=hAPP_nat_nat(F,I_4)))).
% 13.84/13.72 all X_1 Xs (big_linorder_Max_nat(hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))=foldl_nat_nat(ord_max_nat,X_1,Xs)).
% 13.84/13.72 all Q_1 P_1 ((all X_4 (hBOOL(hAPP_nat_bool(P_1,X_4))->hBOOL(hAPP_nat_bool(Q_1,X_4))))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,collect_nat(P_1)),collect_nat(Q_1)))).
% 13.84/13.72 all R_1 S_1 (hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),R_1)),hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),S_1)))<->hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,R_1),S_1))).
% 13.84/13.72 all R_1 S_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),R_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),S_1)))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,R_1),S_1))).
% 13.84/13.72 all X_1 Xs (big_Sup_fin_nat(ord_max_nat,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))=foldl_nat_nat(ord_max_nat,X_1,Xs)).
% 13.84/13.72 all C_2 Aa F Ba (Aa=hAPP_nat_nat(F,Ba)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_2),Ba))-> ((all X_4 Y_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_25),X_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,Y_25)),hAPP_nat_nat(F,X_4)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,C_2)),Aa))))).
% 13.84/13.72 all F C_2 Ba Aa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ba),Aa))-> (hAPP_nat_nat(F,Ba)=C_2-> ((all X_4 Y_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_25),X_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,Y_25)),hAPP_nat_nat(F,X_4)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_2),hAPP_nat_nat(F,Aa)))))).
% 13.84/13.72 all N_1 P_1 ((all N_19 ((all M_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_5)),N_19))->hBOOL(hAPP_nat_bool(P_1,M_5))))->hBOOL(hAPP_nat_bool(P_1,N_19))))->hBOOL(hAPP_nat_bool(P_1,N_1))).
% 13.84/13.72 min_nat(cOMBC_nat_nat_bool(ord_less_e_q_nat))=ord_max_nat.
% 13.84/13.72 all Aa List_1 (hAPP_list_bool_nat(size_size_list_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_bool_nat(size_size_list_bool,List_1)),hAPP_nat_nat(suc,zero_zero_nat))).
% 13.84/13.72 all A_42 List (hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_42),List))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_nat_nat(size_size_list_nat,List)),hAPP_nat_nat(suc,zero_zero_nat))).
% 13.84/13.72 all A_42 List (hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_42),List))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,List)),hAPP_nat_nat(suc,zero_zero_nat))).
% 13.84/13.72 all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))).
% 13.84/13.72 all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(ord_min_nat),N_1))),M_1)).
% 13.84/13.72 all X_63 A_41 B_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_41),B_41)))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),A_41))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),B_41)))).
% 13.84/13.72 all B_40 D_4 A_40 C_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_40),C_19))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_40),D_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_40),B_40)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,C_19),D_4))))).
% 13.84/13.72 all Z_20 X_62 Y_44 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_62),Y_44))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_62),Z_20))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_62),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_44),Z_20))))).
% 13.84/13.72 all B_39 X_61 A_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_61),A_39))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_61),B_39))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_61),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_39),B_39))))).
% 13.84/13.72 all Y_43 X_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_43),X_60))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_60),Y_43)=Y_43).
% 13.84/13.72 all X_59 Y_42 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_59),Y_42))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_59),Y_42)=X_59).
% 13.84/13.72 all A_38 B_38 X_58 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_38),X_58))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_38),B_38)),X_58))).
% 13.84/13.72 all B_37 A_37 X_57 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_37),X_57))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_37),B_37)),X_57))).
% 13.84/13.72 all X_1 Y_2 Z (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_2),Z)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z))).
% 13.84/13.72 all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)=X_1).
% 13.84/13.72 all X_56 Y_41 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_56),Y_41)),Y_41)).
% 13.84/13.72 all X_55 Y_40 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_55),Y_40)),X_55)).
% 13.84/13.72 all A_36 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_36),A_36)=A_36).
% 13.84/13.72 all A_35 B_36 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_35),B_36)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B_36),A_35)).
% 13.84/13.72 all X_54 Y_39 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_54),Y_39)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_39),X_54)).
% 13.84/13.72 all A_34 B_35 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_34),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_34),B_35))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_34),B_35)).
% 13.84/13.72 all X_53 Y_38 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_53),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_53),Y_38))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_53),Y_38)).
% 13.84/13.72 all B_34 A_33 C_18 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B_34),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_33),C_18))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_33),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B_34),C_18))).
% 13.84/13.72 all X_52 Y_37 Z_19 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_52),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_37),Z_19))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_37),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_52),Z_19))).
% 13.84/13.72 all A_32 B_33 C_17 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_32),B_33)),C_17)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_32),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B_33),C_17))).
% 13.84/13.72 all X_51 Y_36 Z_18 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_51),Y_36)),Z_18)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_51),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_36),Z_18))).
% 13.84/13.72 all X_50 Y_35 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_50),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_50),Y_35))=X_50).
% 13.84/13.72 all X_49 Y_34 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_49),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_49),Y_34))=X_49).
% 13.84/13.72 all X_48 Y_33 Z_17 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_33),Z_17))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_48),Y_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_48),Z_17))).
% 13.84/13.72 all X_47 Y_32 Z_16 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_32),Z_16))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_47),Y_32)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_47),Z_16))).
% 13.84/13.72 all Y_31 Z_15 X_46 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_31),Z_15)),X_46)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_31),X_46)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Z_15),X_46))).
% 13.84/13.72 all Y_30 Z_14 X_45 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_30),Z_14)),X_45)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_30),X_45)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Z_14),X_45))).
% 13.84/13.72 all Xs_41 (hAPP_list_nat_nat(size_size_list_nat,rev_nat(Xs_41))=hAPP_list_nat_nat(size_size_list_nat,Xs_41)).
% 13.84/13.72 all Xs_41 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,rev_Ar2093961333le_alt(Xs_41))=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_41)).
% 13.84/13.72 all N_31 Xs_40 Ys_13 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_31),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_40),Ys_13))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_31),Xs_40)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_40))),Ys_13))).
% 13.84/13.72 all N_31 Xs_40 Ys_13 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_31),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_40),Ys_13))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_31),Xs_40)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),hAPP_list_nat_nat(size_size_list_nat,Xs_40))),Ys_13))).
% 13.84/13.73 all X_44 Y_29 Z_13 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_44),Y_29)),Z_13)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_44),Z_13)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_29),Z_13))).
% 13.84/13.73 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,zero_zero_nat),N)=zero_zero_nat).
% 13.84/13.73 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N),zero_zero_nat)=zero_zero_nat).
% 13.84/13.73 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))).
% 13.84/13.73 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N)=zero_zero_nat).
% 13.84/13.73 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),zero_zero_nat)=M).
% 13.84/13.73 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),M)=zero_zero_nat).
% 13.84/13.73 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)).
% 13.84/13.73 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)).
% 13.84/13.73 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)).
% 13.84/13.73 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)).
% 13.84/13.73 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)).
% 13.84/13.73 all I 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),J)),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K))).
% 13.84/13.73 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).
% 13.84/13.73 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).
% 13.84/13.73 all I 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),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),K)),J)).
% 13.84/13.73 all M I 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),I))=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)).
% 13.84/13.73 all X_43 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_43),X_43)=X_43).
% 13.84/13.73 all N_30 Xs_39 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_30),Xs_39))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_39)),N_30)).
% 13.84/13.73 all N_30 Xs_39 (hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_30),Xs_39))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_39)),N_30)).
% 13.84/13.73 all Xs_38 Ys_12 (hAPP_list_nat_nat(size_size_list_nat,Xs_38)!=hAPP_list_nat_nat(size_size_list_nat,Ys_12)->Xs_38!=Ys_12).
% 13.84/13.73 all N_29 M_6 Xs_37 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_29),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,M_6),Xs_37))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N_29),M_6)),Xs_37)).
% 13.84/13.73 all N_29 M_6 Xs_37 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_29),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,M_6),Xs_37))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N_29),M_6)),Xs_37)).
% 13.84/13.73 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),M)).
% 13.84/13.73 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)))).
% 13.84/13.73 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)))).
% 13.84/13.73 all I N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),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))=I).
% 13.84/13.73 all N_1 K_3 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)<->M_1=N_1))).
% 13.84/13.73 all N K M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))).
% 13.84/13.73 all N_1 K_3 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))))).
% 13.84/13.73 ord_min_nat=min_nat(ord_less_e_q_nat).
% 13.84/13.73 all X_1 Y_2 Z (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)),Z))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),Z))).
% 13.84/13.73 all N_28 X_42 (hAPP_list_nat_nat(size_size_list_nat,hAPP_nat_list_nat(replicate_nat(N_28),X_42))=N_28).
% 13.84/13.73 all N_28 X_42 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_28),X_42))=N_28).
% 13.84/13.73 all Xs_36 (hAPP_list_nat_nat(size_size_list_nat,rotate1_nat(Xs_36))=hAPP_list_nat_nat(size_size_list_nat,Xs_36)).
% 13.84/13.73 all Xs_36 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,rotate1322903650le_alt(Xs_36))=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_36)).
% 13.84/13.73 all X_41 Y_28 Z_12 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_41),Y_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_41),Z_12))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_41),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_28),Z_12)))).
% 13.84/13.73 all X_40 Y_27 Z_11 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_40),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_27),Z_11))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_40),Y_27)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_40),Z_11)))).
% 13.84/13.73 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).
% 13.84/13.73 hAPP_list_nat_nat(size_size_list_nat,nil_nat)=zero_zero_nat.
% 13.84/13.73 hAPP_l1872264749lt_nat(size_s1873794948le_alt,nil_Ar126264853le_alt)=zero_zero_nat.
% 13.84/13.73 all Xs (hAPP_list_nat_nat(size_size_list_nat,Xs)=zero_zero_nat<->Xs=nil_nat).
% 13.84/13.73 all Xs (hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)=zero_zero_nat<->Xs=nil_Ar126264853le_alt).
% 13.84/13.73 all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)=zero_zero_nat).
% 13.84/13.73 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))).
% 13.84/13.73 all X_1 Xs Ys (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_bool_nat(size_size_list_bool,Xs)),hAPP_list_bool_nat(size_size_list_bool,Ys)))->Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys)).
% 13.84/13.73 all X_39 Xs_35 Ys_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_35)),hAPP_list_nat_nat(size_size_list_nat,Ys_11)))->Xs_35!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_39),Ys_11)).
% 13.84/13.73 all X_39 Xs_35 Ys_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_35)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_11)))->Xs_35!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_39),Ys_11)).
% 13.84/13.73 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),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),K)),J)).
% 13.84/13.73 all J_1 K_3 I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)),I_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3)))).
% 13.84/13.73 all M K N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)))).
% 13.84/13.73 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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).
% 13.84/13.73 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),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),J)),K)).
% 13.84/13.73 all I_1 K_3 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3)),J_1)))).
% 13.84/13.73 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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).
% 13.84/13.73 all K_3 I_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_1)=K_3<->J_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),I_1))).
% 13.84/13.73 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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),J)),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K))).
% 13.84/13.73 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I)),K)).
% 13.84/13.73 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)),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)).
% 13.84/13.73 all Xs_34 Ys_10 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_34),Ys_10))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_34)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_10))).
% 13.84/13.73 all Xs_34 Ys_10 (hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_34),Ys_10))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_34)),hAPP_list_nat_nat(size_size_list_nat,Ys_10))).
% 13.84/13.73 all Xs_33 N_27 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_33)),N_27))->hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_27),Xs_33)=Xs_33).
% 13.84/13.73 all Xs_33 N_27 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_33)),N_27))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_27),Xs_33)=Xs_33).
% 13.84/13.73 all I_10 K_5 X_38 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,I_10),hAPP_A832564074le_alt(replic351609551le_alt(K_5),X_38))=hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,I_10),K_5)),X_38)).
% 13.84/13.73 all I_10 K_5 X_38 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,I_10),hAPP_nat_list_nat(replicate_nat(K_5),X_38))=hAPP_nat_list_nat(replicate_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,I_10),K_5)),X_38)).
% 13.84/13.73 all P_1 Xs hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.84/13.73 all P_1 Xs hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.84/13.73 all F X_1 Xs (hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Xs))=hAPP_nat_nat(suc,hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.84/13.73 all P_1 Xs hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,dropWhile_nat(P_1,Xs))),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.84/13.73 all P_1 Xs hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,dropWh156852662le_alt(P_1,Xs))),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.84/13.73 all N M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N),M)).
% 13.84/13.73 all P_1 Xs (takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))),Xs)).
% 13.84/13.73 all P_1 Xs (takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))),Xs)).
% 13.84/13.73 max_nat(cOMBC_nat_nat_bool(ord_less_e_q_nat))=ord_min_nat.
% 13.84/13.73 all Xs_32 Ys_9 (hAPP_list_nat_nat(size_size_list_nat,splice_nat(Xs_32,Ys_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_32)),hAPP_list_nat_nat(size_size_list_nat,Ys_9))).
% 13.84/13.73 all Xs_32 Ys_9 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,splice360969192le_alt(Xs_32,Ys_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_32)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_9))).
% 13.84/13.73 all M K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))).
% 13.84/13.73 all M K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))).
% 13.84/13.73 all Xs X_1 Ys (hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys))),hAPP_list_bool_nat(size_size_list_bool,Xs)))<->hBOOL(X_1)).
% 13.84/13.73 all Xs_31 X_37 Ys_8 (is_Arr1861959080le_alt(X_37)->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_31),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_37),Ys_8))),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_31))=X_37).
% 13.84/13.73 all Xs_31 X_37 Ys_8 (hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_31),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_37),Ys_8))),hAPP_list_nat_nat(size_size_list_nat,Xs_31))=X_37).
% 13.84/13.73 all Xs Ys N_1 (hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_bool_nat(size_size_list_bool,Xs)),N_1)))<->hBOOL(hAPP_nat_bool(nth_bool(Ys),N_1))).
% 13.84/13.73 all Xs_30 Ys_7 N_26 (hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_30),Ys_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_30)),N_26))=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys_7),N_26)).
% 13.84/13.73 all Xs_30 Ys_7 N_26 (hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_30),Ys_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_30)),N_26))=hAPP_nat_nat(nth_nat(Ys_7),N_26)).
% 13.84/13.73 all X_36 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_36),X_36)=X_36).
% 13.84/13.73 all L_2 L_1 A (sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,L_2),L_1),A)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,sublis888024346le_alt(L_2,A)),sublis888024346le_alt(L_1,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(plus_plus_nat),hAPP_l1872264749lt_nat(size_s1873794948le_alt,L_2)))),A))))).
% 13.84/13.73 all L_2 L_1 A (sublist_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,L_2),L_1),A)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,sublist_nat(L_2,A)),sublist_nat(L_1,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(plus_plus_nat),hAPP_list_nat_nat(size_size_list_nat,L_2)))),A))))).
% 13.84/13.73 all N_1 M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,N_1)),M_1)=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(ord_min_nat,N_1))),M_1)).
% 13.84/13.73 all N_1 Xs (hAPP_nat_nat(suc,N_1)=hAPP_list_bool_nat(size_size_list_bool,Xs)<-> (exists Y_25 Ys_6 (is_bool(Y_25)&Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)&hAPP_list_bool_nat(size_size_list_bool,Ys_6)=N_1))).
% 13.84/13.73 all N_1 Xs (hAPP_nat_nat(suc,N_1)=hAPP_list_nat_nat(size_size_list_nat,Xs)<-> (exists Y_25 Ys_6 (Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6)&hAPP_list_nat_nat(size_size_list_nat,Ys_6)=N_1))).
% 13.84/13.73 all N_1 Xs (hAPP_nat_nat(suc,N_1)=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)<-> (exists Y_25 Ys_6 (is_Arr1861959080le_alt(Y_25)&Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6)&hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_6)=N_1))).
% 13.84/13.73 all Xs N_1 (hAPP_list_bool_nat(size_size_list_bool,Xs)=hAPP_nat_nat(suc,N_1)<-> (exists Y_25 Ys_6 (is_bool(Y_25)&Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)&hAPP_list_bool_nat(size_size_list_bool,Ys_6)=N_1))).
% 13.84/13.73 all Xs N_1 (hAPP_list_nat_nat(size_size_list_nat,Xs)=hAPP_nat_nat(suc,N_1)<-> (exists Y_25 Ys_6 (Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6)&hAPP_list_nat_nat(size_size_list_nat,Ys_6)=N_1))).
% 13.84/13.73 all Xs N_1 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)=hAPP_nat_nat(suc,N_1)<-> (exists Y_25 Ys_6 (is_Arr1861959080le_alt(Y_25)&Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6)&hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_6)=N_1))).
% 13.84/13.73 all X_35 Y_26 Z_10 ((all X_4 Y_25 Z_9 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_4),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_25),Z_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_4),Y_25)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_4),Z_9))))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_35),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_26),Z_10))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_35),Y_26)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_35),Z_10))).
% 13.84/13.73 all X_34 Y_24 Z_8 ((all X_4 Y_25 Z_9 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_4),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_25),Z_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_4),Y_25)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_4),Z_9))))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_34),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_24),Z_8))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_34),Y_24)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_34),Z_8))).
% 13.84/13.73 all I_1 P_1 K_3 (hBOOL(hAPP_nat_bool(P_1,K_3))-> ((all N_19 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_19)))->hBOOL(hAPP_nat_bool(P_1,N_19))))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_3),I_1))))).
% 13.84/13.73 all X_33 Least_1 ((all X_4 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Least_1),X_4)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Least_1),X_33)=Least_1).
% 13.84/13.73 all B C_2 A (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))-> (-hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B))))).
% 13.84/13.73 all B C_2 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))-> -(hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))-> -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)))).
% 13.84/13.73 all A B (hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)=collec1729629178le_alt(cOMBS_1393264256l_bool(cOMBB_803794783le_alt(fconj,hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),A)),cOMBB_2104979073le_alt(fNot,hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),B))))).
% 13.84/13.73 all A B (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))<->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))& -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))& -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))-> -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B))).
% 13.84/13.73 all X_32 Least ((all X_4 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Least),X_4)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_32),Least)=Least).
% 13.84/13.73 all I_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,I_1)),Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,I_1),Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_nat_bool(nth_bool(Xs),I_1)),nil_bool))).
% 13.84/13.73 all I_9 Xs_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_9),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_29)))->hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,I_9)),Xs_29)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,I_9),Xs_29)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_29),I_9)),nil_Ar126264853le_alt))).
% 13.84/13.73 all I_9 Xs_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_9),hAPP_list_nat_nat(size_size_list_nat,Xs_29)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,I_9)),Xs_29)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,I_9),Xs_29)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_nat_nat(nth_nat(Xs_29),I_9)),nil_nat))).
% 13.84/13.73 all I_8 J_4 Xs_28 (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,rev_nat(Xs_28)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_8),J_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_4),hAPP_list_nat_nat(size_size_list_nat,Xs_28)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs_28),J_4)),hAPP_nat_nat(nth_nat(Xs_28),I_8)))))).
% 13.84/13.73 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 13.84/13.73 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))).
% 13.84/13.73 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))).
% 13.84/13.73 all N J K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),N)),K))).
% 13.84/13.73 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))))).
% 13.84/13.73 all Z_7 Y_23 X_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_23),X_31))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_7),Y_23))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_7),X_31)))).
% 13.84/13.73 all Z_6 X_30 Y_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_30),Y_22))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_22),Z_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_30),Z_6)))).
% 13.84/13.73 all Z_5 Y_21 X_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_21),X_29))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),Y_21))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_5),X_29)))).
% 13.84/13.73 all Z_4 X_28 Y_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_28),Y_20))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_20),Z_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_28),Z_4)))).
% 13.84/13.73 all B_32 A_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_32),A_31))-> (A_31!=B_32->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_32),A_31)))).
% 13.84/13.73 all A_30 B_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_30),B_31))-> (A_30!=B_31->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_30),B_31)))).
% 13.84/13.73 all X_27 Y_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_27),Y_19))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_27),Y_19))|X_27=Y_19).
% 13.84/13.73 all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->X_1=Y_2)).
% 13.84/13.73 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y))).
% 13.84/13.73 all X_26 Y_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_26),Y_18))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_26),Y_18))).
% 13.84/13.73 all Y_17 X_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_17),X_25))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_25),Y_17))).
% 13.84/13.73 all A_29 B_30 (A_29!=B_30-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_30),A_29))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_30),A_29)))).
% 13.84/13.73 all A_28 B_29 (A_28!=B_29-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_28),B_29))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_28),B_29)))).
% 13.84/13.73 all X_1 Y_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->X_1=Y_2)).
% 13.84/13.73 all Y_16 X_24 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_16),X_24))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_24),Y_16))).
% 13.84/13.73 all X_23 Y_15 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_23),Y_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_15),X_23))).
% 13.84/13.73 all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1=Y_2).
% 13.84/13.73 all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))).
% 13.84/13.73 all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))&X_1!=Y_2).
% 13.84/13.73 all X_22 Y_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_22),Y_14))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_14),X_22))).
% 13.84/13.73 all X_1 Y_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))).
% 13.84/13.73 all X_1 Y_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))).
% 13.84/13.73 all Y X Z_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_3)))).
% 13.84/13.73 all Z_3 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_3)))).
% 13.84/13.73 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 13.84/13.73 all N_1 (N_1!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 13.84/13.73 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->N!=zero_zero_nat).
% 13.84/13.73 all N (N!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 13.84/13.73 all M_1 N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))).
% 13.84/13.73 all N_1 M_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))<->N_1=M_1)).
% 13.84/13.73 all N M (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M)))->M=N)).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (hAPP_nat_nat(suc,M)!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N)))).
% 13.84/13.73 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K)))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->M=N)).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 13.84/13.73 all I J (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J)),I))).
% 13.84/13.73 all J I (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I)),I))).
% 13.84/13.73 all K_3 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))).
% 13.84/13.73 all M I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M)))).
% 13.84/13.73 all M I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),J)))).
% 13.84/13.73 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K)))).
% 13.84/13.73 all K L I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L))))).
% 13.84/13.73 all M N K L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_nat,M),N)))).
% 13.84/13.73 all I J K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J)),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))).
% 13.84/13.73 all Z X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),Y_2))).
% 13.84/13.73 all X_1 Y_2 Z (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)),Z))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Z))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),Z))).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))&M_1!=N_1).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (M!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 13.84/13.73 all P_1 M_1 N_1 ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_1),M_1)))-> ((M_1=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_1),M_1)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_1),M_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_1),M_1))))).
% 13.84/13.73 all S T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))->S!=T).
% 13.84/13.73 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))->M!=N).
% 13.84/13.73 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 13.84/13.73 all X Y (X!=Y-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)))).
% 13.84/13.73 all M_1 N_1 (M_1!=N_1<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))).
% 13.84/13.73 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 13.84/13.73 all Aa C_2 Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))).
% 13.84/13.73 all C_2 Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))).
% 13.84/13.73 all C_16 A_27 B_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_27),B_28))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_27),C_16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_28),C_16)))).
% 13.84/13.73 all C_15 A_26 B_27 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_26),B_27))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_15),A_26)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_15),B_27)))).
% 13.84/13.73 all C_14 D_3 A_25 B_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_25),B_26))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_14),D_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_25),C_14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_26),D_3))))).
% 13.84/13.73 all A_24 C_13 B_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_24),C_13)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_25),C_13)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_25))).
% 13.84/13.73 all C_12 A_23 B_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_12),A_23)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_12),B_24)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_23),B_24))).
% 13.84/13.73 all X_21 Y_13 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_21),Y_13))-> (X_21!=Y_13->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_21)))).
% 13.84/13.73 all X_20 Y_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_20),Y_12))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_20))).
% 13.84/13.73 all Z_2 Y_11 X_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_11),X_19))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),Y_11))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_19)))).
% 13.84/13.73 all Z_1 X_18 Y_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Y_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_10),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Z_1)))).
% 13.84/13.73 all C_11 B_23 A_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_23),A_22))-> (B_23=C_11->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_11),A_22)))).
% 13.84/13.73 all C_10 A_21 B_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_21),B_22))-> (B_22=C_10->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_21),C_10)))).
% 13.84/13.73 all C_9 A_20 B_21 (A_20=B_21-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_9),B_21))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_9),A_20)))).
% 13.84/13.73 all C_8 A_19 B_20 (A_19=B_20-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_20),C_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_19),C_8)))).
% 13.84/13.73 all B_19 A_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_19),A_18))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_18),B_19))).
% 13.84/13.73 all A_17 B_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_17),B_18))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_18),A_17))).
% 13.84/13.73 all P_1 X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))->hBOOL(P_1))).
% 13.84/13.73 all X_17 Y_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_17),Y_9))->Y_9!=X_17).
% 13.84/13.73 all X_16 Y_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_16),Y_8))->X_16!=Y_8).
% 13.84/13.73 all X_15 Y_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_15),Y_7))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_7),X_15))).
% 13.84/13.73 all X_14 Y_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_14),Y_6))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_6),X_14))).
% 13.84/13.73 all X_13 Y_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_5))->X_13!=Y_5).
% 13.84/13.73 all X_12 Y_4 (X_12!=Y_4-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_12),Y_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_4),X_12)))).
% 13.84/13.73 all Y_2 X_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->X_1=Y_2)).
% 13.84/13.73 all X_11 Y_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_3))|X_11=Y_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_11))).
% 13.84/13.73 all X_1 Y_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))|X_1=Y_2).
% 13.84/13.73 all X_1 Y_2 (X_1!=Y_2<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))).
% 13.84/13.73 all X_10 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),X_10))).
% 13.84/13.73 all A_16 X_9 B_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),B_17))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_16),B_17)))).
% 13.84/13.73 all B_16 X_8 A_15 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),A_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_15),B_16)))).
% 13.84/13.73 all X_1 Y_2 Z (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)),Z))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),Z))).
% 13.84/13.73 all Z X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),Y_2))).
% 13.84/13.73 all A_14 B_15 X_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_15),X_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_14),B_15)),X_7))).
% 13.84/13.73 all B_14 A_13 X_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_13),X_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_13),B_14)),X_6))).
% 13.84/13.73 all C_7 D_2 A_12 B_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_12),B_13))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_7),D_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),C_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_13),D_2))))).
% 13.84/13.73 all C_6 D_1 A_11 B_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_11),B_12))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_6),D_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),C_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_12),D_1))))).
% 13.84/13.73 all B_11 A_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_11))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_10),B_11))))).
% 13.84/13.73 all B_10 A_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_9),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_10),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_9),B_10)),zero_zero_nat)))).
% 13.84/13.73 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))<-> (exists M_5 (N_1=hAPP_nat_nat(suc,M_5)))).
% 13.84/13.73 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,zero_zero_nat)))<->N_1=zero_zero_nat).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))<->M_1=zero_zero_nat| (exists J_2 (M_1=hAPP_nat_nat(suc,J_2)&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),N_1))))).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 13.84/13.73 all I M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M)))).
% 13.84/13.73 all I M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),I)))).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))<-> (exists K_2 (N_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2))))).
% 13.84/13.73 all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_1))).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))).
% 13.84/13.73 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))<->N_1=M_1)).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),M)))).
% 13.84/13.73 all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))).
% 13.84/13.73 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),hAPP_nat_nat(suc,M))).
% 13.84/13.73 all M N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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).
% 13.84/13.73 all I_1 J_1 K_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3)),J_1))).
% 13.84/13.73 all C_5 A_8 B_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_8),B_9))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_5),A_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_8),C_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_9),C_5))))).
% 13.84/13.73 all N_1 K_3 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))))).
% 13.84/13.73 all Xs Ys (Xs=Ys<->hAPP_list_bool_nat(size_size_list_bool,Xs)=hAPP_list_bool_nat(size_size_list_bool,Ys)& (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> (hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))<->hBOOL(hAPP_nat_bool(nth_bool(Ys),I_4)))))).
% 13.84/13.73 all Xs Ys (Xs=Ys<->hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys)& (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys),I_4)))).
% 13.84/13.73 all Xs Ys (Xs=Ys<->hAPP_list_nat_nat(size_size_list_nat,Xs)=hAPP_list_nat_nat(size_size_list_nat,Ys)& (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))->hAPP_nat_nat(nth_nat(Xs),I_4)=hAPP_nat_nat(nth_nat(Ys),I_4)))).
% 13.84/13.73 all Xs I_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),N_1))-> (hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs)),I_1))<->hBOOL(hAPP_nat_bool(nth_bool(Xs),I_1)))).
% 13.84/13.73 all Xs_27 I_7 N_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_7),N_25))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_25),Xs_27)),I_7)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_27),I_7)).
% 13.84/13.73 all Xs_27 I_7 N_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_7),N_25))->hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_25),Xs_27)),I_7)=hAPP_nat_nat(nth_nat(Xs_27),I_7)).
% 13.84/13.73 all X_1 I_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),N_1))-> (hBOOL(hAPP_nat_bool(nth_bool(hAPP_bool_list_bool(replicate_bool(N_1),X_1)),I_1))<->hBOOL(X_1))).
% 13.84/13.73 all X_5 I_6 N_24 (is_Arr1861959080le_alt(X_5)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_6),N_24))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_A832564074le_alt(replic351609551le_alt(N_24),X_5)),I_6)=X_5)).
% 13.84/13.73 all X_5 I_6 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_6),N_24))->hAPP_nat_nat(nth_nat(hAPP_nat_list_nat(replicate_nat(N_24),X_5)),I_6)=X_5).
% 13.84/13.73 all Y_2 F X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),hAPP_A2113590458lt_nat(F,X_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),list_s1237850263le_alt(F,Xs))))).
% 13.84/13.73 all Y_2 F X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),hAPP_nat_nat(F,X_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),list_size_nat(F,Xs))))).
% 13.84/13.73 all X_4 (hAPP_n1699378549t_bool(ord_less_nat,X_4)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X_4))).
% 13.84/13.73 all B_8 A_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_7),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_8),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_7),B_8)),zero_zero_nat)))).
% 13.84/13.73 all B_7 A_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_7),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_6),B_7)),zero_zero_nat)))).
% 13.84/13.73 all B_6 C_4 A_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_6),C_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_5),C_4))))).
% 13.84/13.73 all B_5 C_3 A_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_5),C_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_4),C_3))))).
% 13.84/13.73 all B_4 A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_3),B_4))))).
% 13.84/13.73 all B_3 A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_3))))).
% 13.84/13.73 all Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_list_nat_nat(size_size_list_nat,Xs)))<->Xs!=nil_nat).
% 13.84/13.73 all Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))<->Xs!=nil_Ar126264853le_alt).
% 13.84/13.73 all X_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))).
% 13.84/13.73 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_list_nat_nat(size_size_list_nat,Xs)))).
% 13.84/13.73 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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).
% 13.84/13.73 all I N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,I))),N))).
% 13.84/13.73 all P_1 Aa Ba (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))<-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))& -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| (exists D (Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),D)& -hBOOL(hAPP_nat_bool(P_1,D)))))).
% 13.84/13.73 all P_1 Aa Ba (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (all D (Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),D)->hBOOL(hAPP_nat_bool(P_1,D))))).
% 13.84/13.73 all X_1 Xs (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))<-> (exists I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))& (hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))<->hBOOL(X_1))))).
% 13.84/13.73 all X_1 Xs (is_Arr1861959080le_alt(X_1)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))<-> (exists I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))&hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)=X_1)))).
% 13.84/13.73 all X_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))<-> (exists I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))&hAPP_nat_nat(nth_nat(Xs),I_4)=X_1))).
% 13.84/13.73 all P_1 Xs ((all X_4 (is_bool(X_4)-> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))->hBOOL(hAPP_bool_bool(P_1,X_4)))))<-> (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),I_4)))))).
% 13.84/13.73 all P_1 Xs ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))<-> (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)))))).
% 13.84/13.73 all P_1 Xs ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_4))))<-> (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),I_4)))))).
% 13.84/13.73 all N_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(nth_bool(Xs),N_1)),hAPP_l96088310l_bool(set_bool,Xs)))).
% 13.84/13.73 all N_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))).
% 13.84/13.73 all N_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_nat_nat(nth_nat(Xs),N_1)),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.73 all Xs (hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))<-> (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> (all J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> (I_4!=J_2-> -(hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))<->hBOOL(hAPP_nat_bool(nth_bool(Xs),J_2))))))))).
% 13.84/13.73 all Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))<-> (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))-> (all J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))-> (I_4!=J_2->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)!=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),J_2))))))).
% 13.84/13.73 all Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))<-> (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))-> (all J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_list_nat_nat(size_size_list_nat,Xs)))-> (I_4!=J_2->hAPP_nat_nat(nth_nat(Xs),I_4)!=hAPP_nat_nat(nth_nat(Xs),J_2))))))).
% 13.84/13.73 all J_1 I_1 Xs (hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> ((hBOOL(hAPP_nat_bool(nth_bool(Xs),I_1))<->hBOOL(hAPP_nat_bool(nth_bool(Xs),J_1)))<->I_1=J_1)))).
% 13.84/13.73 all J_1 I_1 Xs (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))-> (hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_1)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),J_1)<->I_1=J_1)))).
% 13.84/13.73 all J_1 I_1 Xs (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))-> (hAPP_nat_nat(nth_nat(Xs),I_1)=hAPP_nat_nat(nth_nat(Xs),J_1)<->I_1=J_1)))).
% 13.84/13.73 all P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs)))))).
% 13.84/13.73 all P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))-> -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs)))))).
% 13.84/13.73 all P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))),hAPP_list_nat_nat(size_size_list_nat,Xs)))-> -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs)))))).
% 13.84/13.73 all J_1 P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))))-> (hBOOL(hAPP_nat_bool(nth_bool(takeWhile_bool(P_1,Xs)),J_1))<->hBOOL(hAPP_nat_bool(nth_bool(Xs),J_1)))).
% 13.84/13.73 all J_1 P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(takeWh536362254le_alt(P_1,Xs)),J_1)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),J_1)).
% 13.84/13.73 all J_1 P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))))->hAPP_nat_nat(nth_nat(takeWhile_nat(P_1,Xs)),J_1)=hAPP_nat_nat(nth_nat(Xs),J_1)).
% 13.84/13.73 all N_23 Xs_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_23),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_26)))->hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_23),butlas1262502241le_alt(Xs_26))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_23),Xs_26)).
% 13.84/13.73 all N_23 Xs_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_23),hAPP_list_nat_nat(size_size_list_nat,Xs_26)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_23),butlast_nat(Xs_26))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_23),Xs_26)).
% 13.84/13.73 all P_1 Xs (hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),Xs))<-> (all N_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_19),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_19)))))).
% 13.84/13.73 all P_1 Xs (hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))<-> (all N_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_19),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_19)))))).
% 13.84/13.73 all P_1 Xs (hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))<-> (all N_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_19),hAPP_list_nat_nat(size_size_list_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_19)))))).
% 13.84/13.73 all Xs Ys N_1 (hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),N_1))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1)))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hBOOL(hAPP_nat_bool(nth_bool(Ys),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))))).
% 13.84/13.73 all Ys_5 N_22 Xs_25 ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_25)))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_25),Ys_5)),N_22)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_25),N_22))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_25)))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_25),Ys_5)),N_22)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_22),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_25))))).
% 13.84/13.73 all Ys_5 N_22 Xs_25 ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),hAPP_list_nat_nat(size_size_list_nat,Xs_25)))->hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_25),Ys_5)),N_22)=hAPP_nat_nat(nth_nat(Xs_25),N_22))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),hAPP_list_nat_nat(size_size_list_nat,Xs_25)))->hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_25),Ys_5)),N_22)=hAPP_nat_nat(nth_nat(Ys_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_22),hAPP_list_nat_nat(size_size_list_nat,Xs_25))))).
% 13.84/13.73 all I_5 J_3 Xs_24 (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_24))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_5),J_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_3),hAPP_list_nat_nat(size_size_list_nat,Xs_24)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs_24),I_5)),hAPP_nat_nat(nth_nat(Xs_24),J_3)))))).
% 13.84/13.73 all Xs (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))<-> (all J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_list_nat_nat(size_size_list_nat,Xs)))-> (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_4),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs),I_4)),hAPP_nat_nat(nth_nat(Xs),J_2)))))))).
% 13.84/13.73 all N_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> (hBOOL(hAPP_nat_bool(nth_bool(rev_bool(Xs)),N_1))<->hBOOL(hAPP_nat_bool(nth_bool(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_list_bool_nat(size_size_list_bool,Xs)),hAPP_nat_nat(suc,N_1)))))).
% 13.84/13.73 all N_21 Xs_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_21),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_23)))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(rev_Ar2093961333le_alt(Xs_23)),N_21)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_23),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_23)),hAPP_nat_nat(suc,N_21)))).
% 13.84/13.73 all N_21 Xs_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_21),hAPP_list_nat_nat(size_size_list_nat,Xs_23)))->hAPP_nat_nat(nth_nat(rev_nat(Xs_23)),N_21)=hAPP_nat_nat(nth_nat(Xs_23),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_23)),hAPP_nat_nat(suc,N_21)))).
% 13.84/13.73 all J_1 P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,dropWhile_bool(P_1,Xs))))-> (hBOOL(hAPP_nat_bool(nth_bool(dropWhile_bool(P_1,Xs)),J_1))<->hBOOL(hAPP_nat_bool(nth_bool(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))))))).
% 13.84/13.73 all J_1 P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,dropWh156852662le_alt(P_1,Xs))))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(dropWh156852662le_alt(P_1,Xs)),J_1)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))))).
% 13.84/13.73 all J_1 P_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,dropWhile_nat(P_1,Xs))))->hAPP_nat_nat(nth_nat(dropWhile_nat(P_1,Xs)),J_1)=hAPP_nat_nat(nth_nat(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))))).
% 13.84/13.73 all Xs_22 ((all I_4 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_4),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_list_nat_nat(size_size_list_nat,Xs_22)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs_22),I_4)),hAPP_nat_nat(nth_nat(Xs_22),J_2))))))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_22))).
% 13.84/13.73 all P_1 Xs N_1 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),I_4))))))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_1))))->takeWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs))).
% 13.84/13.73 all P_1 Xs N_1 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4))))))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))-> -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1))))->takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs))).
% 13.84/13.73 all P_1 Xs N_1 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),I_4))))))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))-> -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_1))))->takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs))).
% 13.84/13.73 all P_1 Xs J_1 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),J_1))->hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),I_4)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs)))))).
% 13.84/13.73 all P_1 Xs J_1 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),J_1))->hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs)))))).
% 13.84/13.73 all P_1 Xs J_1 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),J_1))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),I_4)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs)))))).
% 13.84/13.73 all Ys K_3 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),hAPP_list_bool_nat(size_size_list_bool,Ys)))-> ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))-> (hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))<->hBOOL(hAPP_nat_bool(nth_bool(Ys),I_4)))))->hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,K_3),Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,K_3),Ys)))).
% 13.84/13.73 all Ys_4 K_4 Xs_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_21)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_4)))-> ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_4))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_21),I_4)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys_4),I_4)))->hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,K_4),Xs_21)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,K_4),Ys_4)))).
% 13.84/13.73 all Ys_4 K_4 Xs_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_list_nat_nat(size_size_list_nat,Xs_21)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_list_nat_nat(size_size_list_nat,Ys_4)))-> ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_4))->hAPP_nat_nat(nth_nat(Xs_21),I_4)=hAPP_nat_nat(nth_nat(Ys_4),I_4)))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,K_4),Xs_21)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,K_4),Ys_4)))).
% 13.84/13.73 all F G Xs ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A2113590458lt_nat(F,X_4)),hAPP_A2113590458lt_nat(G,X_4))))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,list_s1237850263le_alt(F,Xs)),list_s1237850263le_alt(G,Xs)))).
% 13.84/13.73 all F G Xs ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,X_4)),hAPP_nat_nat(G,X_4)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,list_size_nat(F,Xs)),list_size_nat(G,Xs)))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le1384968325t_bool,A),B))-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)))).
% 13.84/13.73 all C_2 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)))).
% 13.84/13.73 all X_1 P_1 Xs ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),I_4)))))-> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))->hBOOL(hAPP_bool_bool(P_1,X_1)))).
% 13.84/13.73 all X_1 P_1 Xs ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)))))-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,X_1)))).
% 13.84/13.73 all X_1 P_1 Xs ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),I_4)))))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_1)))).
% 13.84/13.73 all P_1 N_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> ((all X_4 (is_bool(X_4)-> (hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))->hBOOL(hAPP_bool_bool(P_1,X_4)))))->hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_1))))).
% 13.84/13.73 all P_1 N_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))-> ((all X_4 (is_Arr1861959080le_alt(X_4)-> (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))->hBOOL(hAPP_A862370221t_bool(P_1,X_4)))))->hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1))))).
% 13.84/13.73 all P_1 N_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))-> ((all X_4 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))->hBOOL(hAPP_nat_bool(P_1,X_4))))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_1))))).
% 13.84/13.73 all Xs Ys (hAPP_list_bool_nat(size_size_list_bool,Xs)=hAPP_list_bool_nat(size_size_list_bool,Ys)-> ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))-> (hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))<->hBOOL(hAPP_nat_bool(nth_bool(Ys),I_4)))))->Xs=Ys)).
% 13.84/13.73 all Xs_20 Ys_3 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_20)=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_3)-> ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_20)))->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_20),I_4)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys_3),I_4)))->Xs_20=Ys_3)).
% 13.84/13.73 all Xs_20 Ys_3 (hAPP_list_nat_nat(size_size_list_nat,Xs_20)=hAPP_list_nat_nat(size_size_list_nat,Ys_3)-> ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs_20)))->hAPP_nat_nat(nth_nat(Xs_20),I_4)=hAPP_nat_nat(nth_nat(Ys_3),I_4)))->Xs_20=Ys_3)).
% 13.84/13.73 all P_1 K_3 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))-> (exists X1 (is_bool(X1)&hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,I_4),X1))))))<-> (exists Xs_19 (hAPP_list_bool_nat(size_size_list_bool,Xs_19)=K_3& (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))->hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,I_4),hAPP_nat_bool(nth_bool(Xs_19),I_4)))))))).
% 13.84/13.73 all P_1 K_3 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))-> (exists X1 (is_Arr1861959080le_alt(X1)&hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,I_4),X1))))))<-> (exists Xs_19 (hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_19)=K_3& (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))->hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,I_4),hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_19),I_4)))))))).
% 13.84/13.73 all P_1 K_3 ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))-> (exists X1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,I_4),X1)))))<-> (exists Xs_19 (hAPP_list_nat_nat(size_size_list_nat,Xs_19)=K_3& (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,I_4),hAPP_nat_nat(nth_nat(Xs_19),I_4)))))))).
% 13.84/13.73 all M_1 K_3 F ((all M_5 N_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_19))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_5)),hAPP_nat_nat(F,N_19)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M_1)),K_3)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_3))))).
% 13.84/13.73 all P_1 I_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))-> (hBOOL(hAPP_nat_bool(P_1,J_1))-> ((all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),J_1))-> (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,I_4)))->hBOOL(hAPP_nat_bool(P_1,I_4)))))->hBOOL(hAPP_nat_bool(P_1,I_1))))).
% 13.84/13.73 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))))).
% 13.84/13.73 all N_1 P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,N_1))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))& (all I_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_2))-> -hBOOL(hAPP_nat_bool(P_1,I_4))))&hBOOL(hAPP_nat_bool(P_1,K_2)))))).
% 13.84/13.73 all I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))&hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_2)=J))).
% 13.84/13.73 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (exists M_5 (N=hAPP_nat_nat(suc,M_5)))).
% 13.84/13.73 all N_1 N_20 F ((all N_19 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,N_19)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_19)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_20))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,N_20))))).
% 13.84/13.73 all N_1 M_1 F ((all N_19 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,N_19)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_19)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)))).
% 13.84/13.73 all B_2 C_1 A_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_2),C_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_1),C_1))))).
% 13.84/13.73 all A B (hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le1384968325t_bool,A),B))-> (exists B_1 (is_Arr1861959080le_alt(B_1)&hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,B_1),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,B),A)))))).
% 13.84/13.73 all A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))-> (exists B_1 hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),A))))).
% 13.84/13.73 all I_1 J_1 F ((all I_4 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I_4)),hAPP_nat_nat(F,J_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))))).
% 13.84/13.73 all N_18 Xs_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_18),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_18)))->hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_18),Xs_18)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_18),Xs_18))),nil_Ar126264853le_alt))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,N_18)),Xs_18)).
% 13.84/13.73 all N_18 Xs_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_18),hAPP_list_nat_nat(size_size_list_nat,Xs_18)))->hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_18),Xs_18)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_18),Xs_18))),nil_nat))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,N_18)),Xs_18)).
% 13.84/13.73 all N_1 Xs (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))->hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_list_bool_bool(hd_bool,hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,N_1),Xs))),nil_bool))=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,N_1)),Xs)).
% 13.84/13.73 all N_17 X_3 Xs_17 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(suc,N_17)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_3),Xs_17))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_17),Xs_17)).
% 13.84/13.73 all N_1 X_1 Xs (hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,hAPP_nat_nat(suc,N_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,N_1),Xs)).
% 13.84/13.73 all N_17 X_3 Xs_17 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_nat_nat(suc,N_17)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_3),Xs_17))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_17),Xs_17)).
% 13.84/13.73 all N_1 Xs hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.84/13.73 all N_1 Xs hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs))),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.84/13.73 all N_16 Xs_16 (hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_16),Xs_16))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_16)),N_16)).
% 13.84/13.73 all N_1 Xs Y_2 Ys (hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,N_1),Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)-> (hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1))<->hBOOL(Y_2))).
% 13.84/13.73 all N_15 Xs_15 Y_1 Ys_2 (is_Arr1861959080le_alt(Y_1)-> (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_15),Xs_15)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_1),Ys_2)->hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_15),N_15)=Y_1)).
% 13.84/13.73 all N_15 Xs_15 Y_1 Ys_2 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_15),Xs_15)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_1),Ys_2)->hAPP_nat_nat(nth_nat(Xs_15),N_15)=Y_1).
% 13.84/13.73 all N_14 M_4 Xs_14 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_14),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M_4),Xs_14))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M_4),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_14),M_4)),Xs_14))).
% 13.84/13.73 all N_14 M_4 Xs_14 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_14),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,M_4),Xs_14))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,M_4),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_14),M_4)),Xs_14))).
% 13.84/13.73 all N_13 M_3 Xs_13 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_13),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,M_3),Xs_13))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_3),N_13)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_13),Xs_13))).
% 13.84/13.73 all N_13 M_3 Xs_13 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_13),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,M_3),Xs_13))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_3),N_13)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_13),Xs_13))).
% 13.84/13.73 all N_12 Xs_12 (hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_12),Xs_12)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_12),Xs_12))=Xs_12).
% 13.84/13.73 all N_12 Xs_12 (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_12),Xs_12)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_12),Xs_12))=Xs_12).
% 13.84/13.73 all I_3 K_1 X_2 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,I_3),hAPP_nat_list_nat(replicate_nat(K_1),X_2))=hAPP_nat_list_nat(replicate_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_1),I_3)),X_2)).
% 13.84/13.73 all I_3 K_1 X_2 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,I_3),hAPP_A832564074le_alt(replic351609551le_alt(K_1),X_2))=hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_1),I_3)),X_2)).
% 13.84/13.73 all N_11 Xs_11 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(suc,N_11)),Xs_11)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_11),tl_nat(Xs_11))).
% 13.84/13.73 all N_11 Xs_11 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_nat_nat(suc,N_11)),Xs_11)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_11),tl_Arr1453005548le_alt(Xs_11))).
% 13.84/13.73 all N_10 Xs_10 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_10),butlast_nat(Xs_10))=butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_10),Xs_10))).
% 13.84/13.73 all N_10 Xs_10 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_10),butlas1262502241le_alt(Xs_10))=butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_10),Xs_10))).
% 13.84/13.73 all N_9 Xs_9 (butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_9),Xs_9))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_9),butlast_nat(Xs_9))).
% 13.84/13.73 all N_9 Xs_9 (butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_9),Xs_9))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_9),butlas1262502241le_alt(Xs_9))).
% 13.84/13.73 all I_2 Xs_8 (hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_8))->hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,I_2),Xs_8)))).
% 13.84/13.73 all I_2 Xs_8 (hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_8))->hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,I_2),Xs_8)))).
% 13.84/13.73 all N_8 Xs_7 (hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_7))->hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_8),Xs_7)))).
% 13.84/13.73 all N_7 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_7),nil_nat)=nil_nat).
% 13.84/13.73 all N_7 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_7),nil_Ar126264853le_alt)=nil_Ar126264853le_alt).
% 13.84/13.73 all X_1 N_1 Xs (hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs))))->hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))).
% 13.84/13.73 all X_1 N_1 Xs (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs))))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))).
% 13.84/13.73 all N_6 M_2 Xs_6 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M_2),Xs_6))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_6),M_2)),Xs_6)).
% 13.84/13.73 all Xs_5 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,zero_zero_nat),Xs_5)=Xs_5).
% 13.84/13.73 all N_5 Xs_4 (tl_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_5),Xs_4))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_5),tl_nat(Xs_4))).
% 13.84/13.73 all N_5 Xs_4 (tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_5),Xs_4))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_5),tl_Arr1453005548le_alt(Xs_4))).
% 13.84/13.73 all N_4 Xs_3 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_4),tl_nat(Xs_3))=tl_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_4),Xs_3))).
% 13.84/13.73 all N_4 Xs_3 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_4),tl_Arr1453005548le_alt(Xs_3))=tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_4),Xs_3))).
% 13.84/13.73 all Xs N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,M_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs))))).
% 13.84/13.73 all Xs N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M_1),Xs))),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs))))).
% 13.84/13.73 all N_1 Xs (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs)=nil_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs)),N_1))).
% 13.84/13.73 all N_1 Xs (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs)=nil_Ar126264853le_alt<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),N_1))).
% 13.84/13.73 all Xs_2 N_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_2)),N_3))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_3),Xs_2)=nil_nat).
% 13.84/13.73 all Xs_2 N_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_2)),N_3))->hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_3),Xs_2)=nil_Ar126264853le_alt).
% 13.84/13.73 all N_2 Xs_1 Ys_1 (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_2),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_1),Ys_1))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_2),Xs_1)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_2),hAPP_list_nat_nat(size_size_list_nat,Xs_1))),Ys_1))).
% 13.84/13.73 all N_2 Xs_1 Ys_1 (hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_2),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_1),Ys_1))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_2),Xs_1)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_2),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_1))),Ys_1))).
% 13.84/13.73 all Xs Ys Zs (hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=Zs<->Xs=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),Zs)&Ys=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),Zs)).
% 13.84/13.73 all I K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))-> (K!=hAPP_nat_nat(suc,I)-> -(all J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))->K!=hAPP_nat_nat(suc,J_2))))).
% 13.84/13.73 all I K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K))-> -(all J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))->K!=hAPP_nat_nat(suc,J_2)))).
% 13.84/13.73 all M_1 N_1 (map_nat_nat(suc,hAPP_nat_list_nat(upt(M_1),N_1))=hAPP_nat_list_nat(upt(hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1))).
% 13.84/13.73 all I J hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_nat_list_nat(upt(I),J))).
% 13.84/13.73 all I K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),J))->hAPP_nat_nat(nth_nat(hAPP_nat_list_nat(upt(I),J)),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)).
% 13.84/13.73 all I (hAPP_nat_list_nat(upt(I),zero_zero_nat)=nil_nat).
% 13.84/13.73 all I J ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hAPP_nat_list_nat(upt(I),J)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,I),hAPP_nat_list_nat(upt(hAPP_nat_nat(suc,I)),J)))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hAPP_nat_list_nat(upt(I),J)=nil_nat)).
% 13.84/13.73 all I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hAPP_nat_list_nat(upt(I),J)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,I),hAPP_nat_list_nat(upt(hAPP_nat_nat(suc,I)),J))).
% 13.84/13.73 all M I J (hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M),hAPP_nat_list_nat(upt(I),J))=hAPP_nat_list_nat(upt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M)),J)).
% 13.84/13.73 all I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->hAPP_list_nat_nat(hd_nat,hAPP_nat_list_nat(upt(I),J))=I).
% 13.84/13.73 all I J hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_nat_list_nat(upt(I),J))).
% 13.84/13.73 all I J (hAPP_list_nat_nat(size_size_list_nat,hAPP_nat_list_nat(upt(I),J))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I)).
% 13.84/13.73 all I M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M)),N))->hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,M),hAPP_nat_list_nat(upt(I),N))=hAPP_nat_list_nat(upt(I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M))).
% 13.84/13.73 all J I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I))->hAPP_nat_list_nat(upt(I),J)=nil_nat).
% 13.84/13.73 all I_1 J_1 (hAPP_nat_list_nat(upt(I_1),J_1)=nil_nat<->J_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_1))).
% 13.84/13.73 all I J ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hAPP_nat_list_nat(upt(I),hAPP_nat_nat(suc,J))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(upt(I),J)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,J),nil_nat)))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hAPP_nat_list_nat(upt(I),hAPP_nat_nat(suc,J))=nil_nat)).
% 13.84/13.73 all I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hAPP_nat_list_nat(upt(I),hAPP_nat_nat(suc,J))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(upt(I),J)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,J),nil_nat))).
% 13.84/13.73 all K I J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hAPP_nat_list_nat(upt(I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(upt(I),J)),hAPP_nat_list_nat(upt(J),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K)))).
% 13.84/13.73 all P (-hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P)).
% 13.84/13.73 all P (hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P))).
% 13.84/13.73 hBOOL(fTrue).
% 13.84/13.73 all P (is_bool(P)->P=fTrue|P=fFalse).
% 13.84/13.73 all Q P (-hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))).
% 13.91/13.75 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P)).
% 13.91/13.75 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q)).
% 13.91/13.75 all Q P (-hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))).
% 13.91/13.75 all P Q (-hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))).
% 13.91/13.75 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))|hBOOL(P)|hBOOL(Q)).
% 13.91/13.75 -hBOOL(fFalse).
% 13.91/13.75 all P (is_bool(P)->P=fTrue|P=fFalse).
% 13.91/13.75 all P (hAPP_nat_nat(cOMBI_nat,P)=P).
% 13.91/13.75 all X Y (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y).
% 13.91/13.75 all X Y (X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))).
% 13.91/13.75 all X Y (is_bool(X)&is_bool(Y)-> -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fe_qual_bool,X),Y))|X=Y).
% 13.91/13.75 all X Y (X!=Y|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fe_qual_bool,X),Y))).
% 13.91/13.75 all X Y (if_list_nat(fTrue,X,Y)=X).
% 13.91/13.75 all X Y (if_list_nat(fFalse,X,Y)=Y).
% 13.91/13.75 all P (is_bool(P)->P=fTrue|P=fFalse).
% 13.91/13.75 all X Y (if_list_bool(fTrue,X,Y)=X).
% 13.91/13.75 all X Y (if_list_bool(fFalse,X,Y)=Y).
% 13.91/13.75 all P (is_bool(P)->P=fTrue|P=fFalse).
% 13.91/13.75 all X Y (-hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(fe_qual_list_nat,X),Y))|X=Y).
% 13.91/13.75 all X Y (X!=Y|hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(fe_qual_list_nat,X),Y))).
% 13.91/13.75 all P Q R (hAPP_nat_nat(cOMBB_nat_nat_nat(P,Q),R)=hAPP_nat_nat(P,hAPP_nat_nat(Q,R))).
% 13.91/13.75 all P Q R (hAPP_nat_nat(hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(P),Q),R)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R)=hAPP_bool_bool(P,hAPP_nat_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_bool_bool(cOMBB_bool_bool_bool(P,Q),R)=hAPP_bool_bool(P,hAPP_bool_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_bool_bool(hAPP_b589554111l_bool(cOMBC_bool_bool_bool(P),Q),R)=hAPP_bool_bool(hAPP_b589554111l_bool(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_bool_bool(cOMBS_bool_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_b589554111l_bool(P,R),hAPP_bool_bool(Q,R))).
% 13.91/13.75 all X Y (is_Arr1861959080le_alt(X)&is_Arr1861959080le_alt(Y)-> -hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(fe_qual1160105444le_alt,X),Y))|X=Y).
% 13.91/13.75 all X Y (X!=Y|hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(fe_qual1160105444le_alt,X),Y))).
% 13.91/13.75 all X Y (if_lis1340954026le_alt(fTrue,X,Y)=X).
% 13.91/13.75 all X Y (if_lis1340954026le_alt(fFalse,X,Y)=Y).
% 13.91/13.75 all P (is_bool(P)->P=fTrue|P=fFalse).
% 13.91/13.75 all X Y (-hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(fe_qual796301787le_alt,X),Y))|X=Y).
% 13.91/13.75 all X Y (X!=Y|hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(fe_qual796301787le_alt,X),Y))).
% 13.91/13.75 all P Q R (hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_b589554111l_bool(cOMBB_1914122979l_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_bool_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_nat_list_nat(cOMBB_850496866at_nat(P,Q),R)=hAPP_l248265089st_nat(P,hAPP_nat_list_nat(Q,R))).
% 13.91/13.75 all P Q R (hAPP_nat_list_nat(hAPP_l383341732st_nat(cOMBC_1204473209st_nat(P),Q),R)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_A862370221t_bool(cOMBB_2104979073le_alt(P,Q),R)=hAPP_bool_bool(P,hAPP_A862370221t_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_nat_list_bool(cOMBB_1891801486ol_nat(P,Q),R)=hAPP_l1189022293t_bool(P,hAPP_nat_list_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_nat_list_bool(hAPP_l1656175496t_bool(cOMBC_1038295629t_bool(P),Q),R)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_A862370221t_bool(cOMBS_1393264256l_bool(P,Q),R)=hAPP_bool_bool(hAPP_A822657487l_bool(P,R),hAPP_A862370221t_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_bool_list_bool(hAPP_l1045755451t_bool(cOMBC_80330970t_bool(P),Q),R)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(P,R),Q)).
% 13.91/13.75 all P Q (hAPP_n280362926st_nat(cOMBK_1717478773at_nat(P),Q)=P).
% 13.91/13.75 all P Q R (hAPP_n215258509l_bool(cOMBB_1146692694ol_nat(P,Q),R)=hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R))).
% 13.91/13.75 all P Q R (hAPP_l248265089st_nat(hAPP_l710375585st_nat(cOMBC_950362600st_nat(P),Q),R)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(cOMBC_1789016513t_bool(P),Q),R)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_A822657487l_bool(cOMBB_803794783le_alt(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_A862370221t_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_A862370221t_bool(hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(P),Q),R)=hAPP_A862370221t_bool(hAPP_A1664620203t_bool(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_n280362926st_nat(cOMBB_472649634at_nat(P,Q),R)=hAPP_l710375585st_nat(P,hAPP_nat_list_nat(Q,R))).
% 13.91/13.75 all P Q R (hAPP_b994696797t_bool(cOMBB_1663860504l_bool(P,Q),R)=hAPP_l1947611924t_bool(P,hAPP_bool_list_bool(Q,R))).
% 13.91/13.75 all P Q R (hAPP_A862370221t_bool(hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(P),Q),R)=hAPP_f2013399995l_bool(hAPP_A297543629l_bool(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_n1875670159le_alt(cOMBB_903467948lt_nat(P,Q),R)=hAPP_l726444215le_alt(P,hAPP_n1875670159le_alt(Q,R))).
% 13.91/13.75 all P Q R (hAPP_n1875670159le_alt(hAPP_l382792410le_alt(cOMBC_1511969967le_alt(P),Q),R)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_A832564074le_alt(hAPP_l618618165le_alt(cOMBC_1919297930le_alt(P),Q),R)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(P,R),Q)).
% 13.91/13.75 all P Q (hAPP_A408086601le_alt(cOMBK_1696648346le_alt(P),Q)=P).
% 13.91/13.75 all P Q R (hAPP_l726444215le_alt(hAPP_l568342716le_alt(cOMBC_1058495865le_alt(P),Q),R)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(P,R),Q)).
% 13.91/13.75 all P Q R (hAPP_A408086601le_alt(cOMBB_881934114le_alt(P,Q),R)=hAPP_l568342716le_alt(P,hAPP_A832564074le_alt(Q,R))).
% 13.91/13.75 a!=b.
% 13.91/13.75 -(exists C hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,a),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,b),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),nil_Ar126264853le_alt)))))).
% 13.91/13.75 end_of_list.
% 13.91/13.75
% 13.91/13.75 -------> usable clausifies to:
% 13.91/13.75
% 13.91/13.75 list(usable).
% 13.91/13.75 0 [] A=A.
% 13.91/13.75 0 [] is_Arr1861959080le_alt(undefi462180727le_alt(arrow_107136085le_alt)).
% 13.91/13.75 0 [] is_bool(undefined_bool(bool)).
% 13.91/13.75 0 [] is_bool(fFalse).
% 13.91/13.75 0 [] is_bool(fTrue).
% 13.91/13.75 0 [] -is_Arr1861959080le_alt(B_2_1)|is_bool(hAPP_A862370221t_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] -is_bool(B_2_1)|is_bool(hAPP_bool_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_Arr1861959080le_alt(hAPP_l1105242632le_alt(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_bool(hAPP_l1386638586t_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_bool(hAPP_list_bool_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_bool(hAPP_list_nat_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_Arr1861959080le_alt(hAPP_n401316912le_alt(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_bool(hAPP_f2013399995l_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_bool(hAPP_f387058535l_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 13.91/13.75 0 [] is_Arr1861959080le_alt(a).
% 13.91/13.75 0 [] is_Arr1861959080le_alt(b).
% 13.91/13.75 0 [] is_Arr1861959080le_alt($c3).
% 13.91/13.75 0 [] is_Arr1861959080le_alt($c2).
% 13.91/13.75 0 [] is_Arr1861959080le_alt($c1).
% 13.91/13.75 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$c3),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$c2),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$c1),nil_Ar126264853le_alt))))).
% 13.91/13.75 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,nil_Ar126264853le_alt)).
% 13.91/13.75 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,nil_nat)).
% 13.91/13.75 0 [] nil_bool!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2).
% 13.91/13.75 0 [] nil_Ar126264853le_alt!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_85),List_4).
% 13.91/13.75 0 [] nil_nat!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_85),List_4).
% 13.91/13.75 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)!=nil_bool.
% 13.91/13.75 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_84),List_2)!=nil_Ar126264853le_alt.
% 13.91/13.75 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_84),List_2)!=nil_nat.
% 13.91/13.75 0 [] Xs=nil_bool|is_bool($f2(Xs)).
% 13.91/13.75 0 [] Xs=nil_bool|Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f2(Xs)),$f1(Xs)).
% 13.91/13.75 0 [] Xs!=nil_bool| -is_bool(Y_25)|Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6).
% 13.91/13.75 0 [] Xs=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f4(Xs)).
% 13.91/13.75 0 [] Xs=nil_Ar126264853le_alt|Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f4(Xs)),$f3(Xs)).
% 13.91/13.75 0 [] Xs!=nil_Ar126264853le_alt| -is_Arr1861959080le_alt(Y_25)|Xs!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6).
% 13.91/13.75 0 [] Xs=nil_nat|Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f6(Xs)),$f5(Xs)).
% 13.91/13.75 0 [] Xs!=nil_nat|Xs!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6).
% 13.91/13.75 0 [] Y_2=nil_bool|is_bool($f8(Y_2)).
% 13.91/13.75 0 [] Y_2=nil_bool|Y_2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f8(Y_2)),$f7(Y_2)).
% 13.91/13.75 0 [] Y_68=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f10(Y_68)).
% 13.91/13.75 0 [] Y_68=nil_Ar126264853le_alt|Y_68=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f10(Y_68)),$f9(Y_68)).
% 13.91/13.75 0 [] Y_68=nil_nat|Y_68=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f12(Y_68)),$f11(Y_68)).
% 13.91/13.75 0 [] Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs).
% 13.91/13.75 0 [] Xs_97!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_126),Xs_97).
% 13.91/13.75 0 [] Xs_97!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_126),Xs_97).
% 13.91/13.75 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)!=Xs.
% 13.91/13.75 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_125),Xs_96)!=Xs_96.
% 13.91/13.75 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_125),Xs_96)!=Xs_96.
% 13.91/13.75 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)| -hBOOL(Aa)|hBOOL(A_84).
% 13.91/13.75 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)|hBOOL(Aa)| -hBOOL(A_84).
% 13.91/13.75 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)|List_1=List_2.
% 13.91/13.75 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)|hBOOL(Aa)|hBOOL(A_84)|List_1!=List_2.
% 13.91/13.75 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A_84),List_2)| -hBOOL(Aa)| -hBOOL(A_84)|List_1!=List_2.
% 13.91/13.75 0 [] -is_Arr1861959080le_alt(Aa)| -is_Arr1861959080le_alt(A_84)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Aa),List_1)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_84),List_2)|Aa=A_84.
% 13.91/13.75 0 [] -is_Arr1861959080le_alt(Aa)| -is_Arr1861959080le_alt(A_84)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Aa),List_1)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_84),List_2)|List_1=List_2.
% 13.91/13.75 0 [] -is_Arr1861959080le_alt(Aa)| -is_Arr1861959080le_alt(A_84)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Aa),List_1)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_84),List_2)|Aa!=A_84|List_1!=List_2.
% 13.91/13.75 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),List_1)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_84),List_2)|Aa=A_84.
% 13.91/13.75 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),List_1)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_84),List_2)|List_1=List_2.
% 13.91/13.75 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),List_1)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_84),List_2)|Aa!=A_84|List_1!=List_2.
% 13.91/13.75 0 [] splice_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,V_1),Va_1),nil_bool)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,V_1),Va_1).
% 13.91/13.75 0 [] splice360969192le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,V),Va),nil_Ar126264853le_alt)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,V),Va).
% 13.91/13.75 0 [] splice_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,V),Va),nil_nat)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,V),Va).
% 13.91/13.75 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,X_1),nil_bool)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_124),nil_Ar126264853le_alt)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_124),nil_Ar126264853le_alt).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_124),nil_nat)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_124),nil_nat).
% 13.91/13.76 0 [] Xs=nil_bool|is_bool($f13(P_1,Xs))|is_bool($f15(P_1,Xs))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool|is_bool($f13(P_1,Xs))|$f14(P_1,Xs)!=nil_bool|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool|is_bool($f13(P_1,Xs))|hBOOL(hAPP_list_bool_bool(P_1,$f14(P_1,Xs)))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool|is_bool($f13(P_1,Xs))| -hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f15(P_1,Xs)),$f14(P_1,Xs))))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool| -hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f13(P_1,Xs)),nil_bool)))|is_bool($f15(P_1,Xs))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool| -hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f13(P_1,Xs)),nil_bool)))|$f14(P_1,Xs)!=nil_bool|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool| -hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f13(P_1,Xs)),nil_bool)))|hBOOL(hAPP_list_bool_bool(P_1,$f14(P_1,Xs)))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool| -hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f13(P_1,Xs)),nil_bool)))| -hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f15(P_1,Xs)),$f14(P_1,Xs))))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f16(P_1,Xs))|is_Arr1861959080le_alt($f18(P_1,Xs))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f16(P_1,Xs))|$f17(P_1,Xs)!=nil_Ar126264853le_alt|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f16(P_1,Xs))|hBOOL(hAPP_l1386638586t_bool(P_1,$f17(P_1,Xs)))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f16(P_1,Xs))| -hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f18(P_1,Xs)),$f17(P_1,Xs))))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f16(P_1,Xs)),nil_Ar126264853le_alt)))|is_Arr1861959080le_alt($f18(P_1,Xs))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f16(P_1,Xs)),nil_Ar126264853le_alt)))|$f17(P_1,Xs)!=nil_Ar126264853le_alt|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f16(P_1,Xs)),nil_Ar126264853le_alt)))|hBOOL(hAPP_l1386638586t_bool(P_1,$f17(P_1,Xs)))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f16(P_1,Xs)),nil_Ar126264853le_alt)))| -hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f18(P_1,Xs)),$f17(P_1,Xs))))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_nat| -hBOOL(hAPP_list_nat_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f19(P_1,Xs)),nil_nat)))|$f20(P_1,Xs)!=nil_nat|hBOOL(hAPP_list_nat_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_nat| -hBOOL(hAPP_list_nat_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f19(P_1,Xs)),nil_nat)))|hBOOL(hAPP_list_nat_bool(P_1,$f20(P_1,Xs)))|hBOOL(hAPP_list_nat_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_nat| -hBOOL(hAPP_list_nat_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f19(P_1,Xs)),nil_nat)))| -hBOOL(hAPP_list_nat_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f21(P_1,Xs)),$f20(P_1,Xs))))|hBOOL(hAPP_list_nat_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs_95=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_95))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,butlas1262502241le_alt(Xs_95))).
% 13.91/13.76 0 [] Xs_95=nil_nat| -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_95))|hBOOL(hAPP_list_nat_bool(distinct_nat,butlast_nat(Xs_95))).
% 13.91/13.76 0 [] butlas1262502241le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] butlast_nat(nil_nat)=nil_nat.
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_94))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_123),Xs_94))).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_94))|hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_123),Xs_94))).
% 13.91/13.76 0 [] splice_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),splice_bool(Xs,Ys))).
% 13.91/13.76 0 [] splice360969192le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_122),Xs_93),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_67),Ys_31))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_122),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_67),splice360969192le_alt(Xs_93,Ys_31))).
% 13.91/13.76 0 [] splice_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_122),Xs_93),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_67),Ys_31))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_122),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_67),splice_nat(Xs_93,Ys_31))).
% 13.91/13.76 0 [] splice360969192le_alt(Xs_92,nil_Ar126264853le_alt)=Xs_92.
% 13.91/13.76 0 [] splice_nat(Xs_92,nil_nat)=Xs_92.
% 13.91/13.76 0 [] splice360969192le_alt(nil_Ar126264853le_alt,Ys_30)=Ys_30.
% 13.91/13.76 0 [] splice_nat(nil_nat,Ys_30)=Ys_30.
% 13.91/13.76 0 [] Xs!=nil_bool|butlast_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=nil_bool.
% 13.91/13.76 0 [] Xs=nil_bool|butlast_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),butlast_bool(Xs)).
% 13.91/13.76 0 [] Xs_91!=nil_Ar126264853le_alt|butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_121),Xs_91))=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] Xs_91=nil_Ar126264853le_alt|butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_121),Xs_91))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_121),butlas1262502241le_alt(Xs_91)).
% 13.91/13.76 0 [] Xs_91!=nil_nat|butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_121),Xs_91))=nil_nat.
% 13.91/13.76 0 [] Xs_91=nil_nat|butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_121),Xs_91))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_121),butlast_nat(Xs_91)).
% 13.91/13.76 0 [] list_c380068407le_alt(F1,F2,nil_Ar126264853le_alt)=F1.
% 13.91/13.76 0 [] list_c554461815at_nat(F1,F2,nil_nat)=F1.
% 13.91/13.76 0 [] list_c380068407le_alt(F1,F2,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Aa),List_1))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(F2,Aa),List_1).
% 13.91/13.76 0 [] list_c554461815at_nat(F1,F2,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),List_1))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(F2,Aa),List_1).
% 13.91/13.76 0 [] Xs!=nil_Ar126264853le_alt|hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs)).
% 13.91/13.76 0 [] Xs=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs)).
% 13.91/13.76 0 [] Xs!=nil_nat|hBOOL(hAPP_list_nat_bool(null_nat,Xs)).
% 13.91/13.76 0 [] Xs=nil_nat| -hBOOL(hAPP_list_nat_bool(null_nat,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs))|Xs=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs))|Xs!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(null_nat,Xs))|Xs=nil_nat.
% 13.91/13.76 0 [] hBOOL(hAPP_list_nat_bool(null_nat,Xs))|Xs!=nil_nat.
% 13.91/13.76 0 [] hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,nil_Ar126264853le_alt)).
% 13.91/13.76 0 [] hBOOL(hAPP_list_nat_bool(null_nat,nil_nat)).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_bool_bool(null_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))).
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_120),Xs_90))).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(null_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_120),Xs_90))).
% 13.91/13.76 0 [] butlast_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)))=Xs.
% 13.91/13.76 0 [] butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_89),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_119),nil_Ar126264853le_alt)))=Xs_89.
% 13.91/13.76 0 [] butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_89),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_119),nil_nat)))=Xs_89.
% 13.91/13.76 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_118),nil_nat))).
% 13.91/13.76 0 [] Xs!=nil_bool| -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(X_1).
% 13.91/13.76 0 [] Xs!=nil_bool|hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(X_1).
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_117)|Xs_88!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_117),Xs_88))=X_117.
% 13.91/13.76 0 [] Xs_88!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_117),Xs_88))=X_117.
% 13.91/13.76 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,nil_nat)).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_87),Ys_29)),Zs_6)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_87),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_29),Zs_6)).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_87),Ys_29)),Zs_6)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_87),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_29),Zs_6)).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Ts)|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),$f22(Xs,Ys,Zs,Ts))|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),$f22(Xs,Ys,Zs,Ts))=Zs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Ts)|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),$f22(Xs,Ys,Zs,Ts))|Ys=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f22(Xs,Ys,Zs,Ts)),Ts).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Ts)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f22(Xs,Ys,Zs,Ts)),Ys)=Ts|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),$f22(Xs,Ys,Zs,Ts))=Zs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Ts)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f22(Xs,Ys,Zs,Ts)),Ys)=Ts|Ys=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f22(Xs,Ys,Zs,Ts)),Ts).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Ts)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Us_1)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Us_1),Ys)!=Ts.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Ts)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Us_1)!=Zs|Ys!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Us_1),Ts).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Ts)|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),$f23(Xs,Ys,Zs,Ts))|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),$f23(Xs,Ys,Zs,Ts))=Zs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Ts)|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),$f23(Xs,Ys,Zs,Ts))|Ys=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f23(Xs,Ys,Zs,Ts)),Ts).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Ts)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f23(Xs,Ys,Zs,Ts)),Ys)=Ts|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),$f23(Xs,Ys,Zs,Ts))=Zs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Ts)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f23(Xs,Ys,Zs,Ts)),Ys)=Ts|Ys=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f23(Xs,Ys,Zs,Ts)),Ts).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Ts)|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Us_1)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Us_1),Ys)!=Ts.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Ts)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Us_1)!=Zs|Ys!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Us_1),Ts).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Zs)|Ys=Zs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Zs)|Ys!=Zs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Zs)|Ys=Zs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Zs)|Ys!=Zs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Xs)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Xs)|Ys=Zs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Xs)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs),Xs)|Ys!=Zs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Xs)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Xs)|Ys=Zs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Xs)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs),Xs)|Ys!=Zs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_86),Xs1_2)!=Zs_5|Ys_28!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs1_2),Us)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_86),Ys_28)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Zs_5),Us).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_86),Xs1_2)!=Zs_5|Ys_28!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs1_2),Us)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_86),Ys_28)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Zs_5),Us).
% 13.91/13.76 0 [] Ys_27!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_85),Ys_27))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_85).
% 13.91/13.76 0 [] Ys_27!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_85),Ys_27))=hAPP_list_nat_nat(last_nat,Xs_85).
% 13.91/13.76 0 [] Ys_26=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_84),Ys_26))=hAPP_l1105242632le_alt(last_A57386030le_alt,Ys_26).
% 13.91/13.76 0 [] Ys_26=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_84),Ys_26))=hAPP_list_nat_nat(last_nat,Ys_26).
% 13.91/13.76 0 [] Ys_25!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_83),Ys_25))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_83).
% 13.91/13.76 0 [] Ys_25=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_83),Ys_25))=hAPP_l1105242632le_alt(last_A57386030le_alt,Ys_25).
% 13.91/13.76 0 [] Ys_25!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_83),Ys_25))=hAPP_list_nat_nat(last_nat,Xs_83).
% 13.91/13.76 0 [] Ys_25=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_83),Ys_25))=hAPP_list_nat_nat(last_nat,Ys_25).
% 13.91/13.76 0 [] maps_A461338881le_alt(F,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(F,X_1)),maps_A461338881le_alt(F,Xs)).
% 13.91/13.76 0 [] maps_n2115510812le_alt(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_n1875670159le_alt(F,X_1)),maps_n2115510812le_alt(F,Xs)).
% 13.91/13.76 0 [] maps_bool_nat(F,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_bool_list_nat(F,X_1)),maps_bool_nat(F,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))))|hBOOL(X_1).
% 13.91/13.76 0 [] hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))))| -hBOOL(X_1).
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_116)|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_82),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_116),nil_Ar126264853le_alt)))=X_116.
% 13.91/13.76 0 [] hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_82),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_116),nil_nat)))=X_116.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),Ys)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_115),Xs_81)),Ys_24)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_115),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_81),Ys_24)).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_115),Xs_81)),Ys_24)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_115),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_81),Ys_24)).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs1_1)!=Ys|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs1_1),Zs)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_114),Xs1)!=Ys_23|Xs_80!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs1),Zs_4)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_114),Xs_80)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_23),Zs_4).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_114),Xs1)!=Ys_23|Xs_80!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs1),Zs_4)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_114),Xs_80)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_23),Zs_4).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,nil_Ar126264853le_alt),Ys_22)=Ys_22.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,nil_nat),Ys_22)=Ys_22.
% 13.91/13.76 0 [] nil_Ar126264853le_alt!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)|Xs=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] nil_Ar126264853le_alt!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)|Ys=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] nil_Ar126264853le_alt=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)|Xs!=nil_Ar126264853le_alt|Ys!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] nil_nat!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)|Xs=nil_nat.
% 13.91/13.76 0 [] nil_nat!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)|Ys=nil_nat.
% 13.91/13.76 0 [] nil_nat=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)|Xs!=nil_nat|Ys!=nil_nat.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_79),nil_Ar126264853le_alt)=Xs_79.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_79),nil_nat)=Xs_79.
% 13.91/13.76 0 [] Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)|Ys=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)|Ys!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)|Ys=nil_nat.
% 13.91/13.76 0 [] Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)|Ys!=nil_nat.
% 13.91/13.76 0 [] Ys!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)|Xs=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] Ys=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)|Xs!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] Ys!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)|Xs=nil_nat.
% 13.91/13.76 0 [] Ys=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)|Xs!=nil_nat.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=nil_Ar126264853le_alt|Xs=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=nil_Ar126264853le_alt|Ys=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=nil_Ar126264853le_alt|Xs!=nil_Ar126264853le_alt|Ys!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=nil_nat|Xs=nil_nat.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=nil_nat|Ys=nil_nat.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=nil_nat|Xs!=nil_nat|Ys!=nil_nat.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=Xs|Ys=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=Xs|Ys!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=Xs|Ys=nil_nat.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=Xs|Ys!=nil_nat.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=Ys|Xs=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=Ys|Xs!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)!=Ys|Xs=nil_nat.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)=Ys|Xs!=nil_nat.
% 13.91/13.76 0 [] Xs_78!=Ys_21|Xs_78=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,nil_Ar126264853le_alt),Ys_21).
% 13.91/13.76 0 [] Xs_78!=Ys_21|Xs_78=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,nil_nat),Ys_21).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))!=Ys|Ys!=nil_bool.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))!=Ys|butlast_bool(Ys)=Xs.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))!=Ys| -hBOOL(hAPP_list_bool_bool(last_bool,Ys))|hBOOL(X_1).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))!=Ys|hBOOL(hAPP_list_bool_bool(last_bool,Ys))| -hBOOL(X_1).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))=Ys|Ys=nil_bool|butlast_bool(Ys)!=Xs|hBOOL(hAPP_list_bool_bool(last_bool,Ys))|hBOOL(X_1).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))=Ys|Ys=nil_bool|butlast_bool(Ys)!=Xs| -hBOOL(hAPP_list_bool_bool(last_bool,Ys))| -hBOOL(X_1).
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_1)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))!=Ys|Ys!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_1)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))!=Ys|butlas1262502241le_alt(Ys)=Xs.
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_1)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))!=Ys|hAPP_l1105242632le_alt(last_A57386030le_alt,Ys)=X_1.
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_1)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))=Ys|Ys=nil_Ar126264853le_alt|butlas1262502241le_alt(Ys)!=Xs|hAPP_l1105242632le_alt(last_A57386030le_alt,Ys)!=X_1.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))!=Ys|Ys!=nil_nat.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))!=Ys|butlast_nat(Ys)=Xs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))!=Ys|hAPP_list_nat_nat(last_nat,Ys)=X_1.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))=Ys|Ys=nil_nat|butlast_nat(Ys)!=Xs|hAPP_list_nat_nat(last_nat,Ys)!=X_1.
% 13.91/13.76 0 [] Xs=nil_bool|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,butlast_bool(Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_list_bool_bool(last_bool,Xs)),nil_bool))=Xs.
% 13.91/13.76 0 [] Xs_77=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,butlas1262502241le_alt(Xs_77)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_77)),nil_Ar126264853le_alt))=Xs_77.
% 13.91/13.76 0 [] Xs_77=nil_nat|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,butlast_nat(Xs_77)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_list_nat_nat(last_nat,Xs_77)),nil_nat))=Xs_77.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)|Ys=nil_bool|Ys=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f24(Ys,Zs,X_1,Xs)).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)|Ys=nil_bool|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f24(Ys,Zs,X_1,Xs)),Zs)=Xs.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)|Zs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)|Ys=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f24(Ys,Zs,X_1,Xs)).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)|Zs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f24(Ys,Zs,X_1,Xs)),Zs)=Xs.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)|Ys!=nil_bool|Zs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)|Ys!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys_20)|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_20),Zs)!=Xs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)|Ys=nil_Ar126264853le_alt|Ys=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f25(Ys,Zs,X_1,Xs)).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)|Ys=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f25(Ys,Zs,X_1,Xs)),Zs)=Xs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)|Zs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)|Ys=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f25(Ys,Zs,X_1,Xs)).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)|Zs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f25(Ys,Zs,X_1,Xs)),Zs)=Xs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)|Ys!=nil_Ar126264853le_alt|Zs!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)|Ys!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Ys_20)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_20),Zs)!=Xs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)|Ys=nil_nat|Ys=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f26(Ys,Zs,X_1,Xs)).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)|Ys=nil_nat|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f26(Ys,Zs,X_1,Xs)),Zs)=Xs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)|Zs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)|Ys=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f26(Ys,Zs,X_1,Xs)).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)|Zs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f26(Ys,Zs,X_1,Xs)),Zs)=Xs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)|Ys!=nil_nat|Zs!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)|Ys!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Ys_20)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_20),Zs)!=Xs.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)|Ys=nil_bool|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f27(X_1,Xs,Ys,Zs))=Ys.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)|Ys=nil_bool|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f27(X_1,Xs,Ys,Zs)),Zs).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)=Zs|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f27(X_1,Xs,Ys,Zs))=Ys.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)=Zs|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f27(X_1,Xs,Ys,Zs)),Zs).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)|Ys!=nil_bool|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)!=Zs.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),Zs)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys_20)!=Ys|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_20),Zs).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)|Ys=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f28(X_1,Xs,Ys,Zs))=Ys.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)|Ys=nil_Ar126264853le_alt|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f28(X_1,Xs,Ys,Zs)),Zs).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)=Zs|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f28(X_1,Xs,Ys,Zs))=Ys.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)=Zs|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f28(X_1,Xs,Ys,Zs)),Zs).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)|Ys!=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)!=Zs.
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),Zs)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Ys_20)!=Ys|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_20),Zs).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)|Ys=nil_nat|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f29(X_1,Xs,Ys,Zs))=Ys.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)|Ys=nil_nat|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f29(X_1,Xs,Ys,Zs)),Zs).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)=Zs|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f29(X_1,Xs,Ys,Zs))=Ys.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)=Zs|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f29(X_1,Xs,Ys,Zs)),Zs).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)|Ys!=nil_nat|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)!=Zs.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),Zs)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Ys_20)!=Ys|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_20),Zs).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool))|Xs=Ys.
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool))| -hBOOL(X_1)|hBOOL(Y_2).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool))|hBOOL(X_1)| -hBOOL(Y_2).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool))|Xs!=Ys|hBOOL(X_1)|hBOOL(Y_2).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool))|Xs!=Ys| -hBOOL(X_1)| -hBOOL(Y_2).
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),nil_Ar126264853le_alt))|Xs=Ys.
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),nil_Ar126264853le_alt))|X_1=Y_2.
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),nil_Ar126264853le_alt))|Xs!=Ys|X_1!=Y_2.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),nil_nat))|Xs=Ys.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),nil_nat))|X_1=Y_2.
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),nil_nat))|Xs!=Ys|X_1!=Y_2.
% 13.91/13.76 0 [] Ys_19!=nil_Ar126264853le_alt|butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_76),Ys_19))=butlas1262502241le_alt(Xs_76).
% 13.91/13.76 0 [] Ys_19=nil_Ar126264853le_alt|butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_76),Ys_19))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_76),butlas1262502241le_alt(Ys_19)).
% 13.91/13.76 0 [] Ys_19!=nil_nat|butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_76),Ys_19))=butlast_nat(Xs_76).
% 13.91/13.76 0 [] Ys_19=nil_nat|butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_76),Ys_19))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_76),butlast_nat(Ys_19)).
% 13.91/13.76 0 [] Xs_75=nil_nat| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_75))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,butlast_nat(Xs_75))).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|Xs!=nil_bool|hBOOL(X_1).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|Xs=nil_bool|hBOOL(hAPP_list_bool_bool(last_bool,Xs)).
% 13.91/13.76 0 [] hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|Xs=nil_bool| -hBOOL(hAPP_list_bool_bool(last_bool,Xs)).
% 13.91/13.76 0 [] hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(X_1)|Xs!=nil_bool.
% 13.91/13.76 0 [] hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(X_1)| -hBOOL(hAPP_list_bool_bool(last_bool,Xs)).
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_113)|Xs_74!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_113),Xs_74))=X_113.
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_113)|Xs_74=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_113),Xs_74))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_74).
% 13.91/13.76 0 [] Xs_74!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_113),Xs_74))=X_113.
% 13.91/13.76 0 [] Xs_74=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_113),Xs_74))=hAPP_list_nat_nat(last_nat,Xs_74).
% 13.91/13.76 0 [] Xs=nil_bool| -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(hAPP_list_bool_bool(last_bool,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool|hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(hAPP_list_bool_bool(last_bool,Xs)).
% 13.91/13.76 0 [] Xs_73=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_112),Xs_73))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_73).
% 13.91/13.76 0 [] Xs_73=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_112),Xs_73))=hAPP_list_nat_nat(last_nat,Xs_73).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_bool_bool(P_1,nil_bool))|is_bool($f31(Xs,P_1))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_bool_bool(P_1,nil_bool))|hBOOL(hAPP_list_bool_bool(P_1,$f30(Xs,P_1)))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_bool_bool(P_1,nil_bool))| -hBOOL(hAPP_list_bool_bool(P_1,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f30(Xs,P_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f31(Xs,P_1)),nil_bool))))|hBOOL(hAPP_list_bool_bool(P_1,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(P_1,nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f33(Xs,P_1))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(P_1,nil_Ar126264853le_alt))|hBOOL(hAPP_l1386638586t_bool(P_1,$f32(Xs,P_1)))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(P_1,nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f32(Xs,P_1)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f33(Xs,P_1)),nil_Ar126264853le_alt))))|hBOOL(hAPP_l1386638586t_bool(P_1,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(P_1,nil_nat))|hBOOL(hAPP_list_nat_bool(P_1,$f34(Xs,P_1)))|hBOOL(hAPP_list_nat_bool(P_1,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(P_1,nil_nat))| -hBOOL(hAPP_list_nat_bool(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f34(Xs,P_1)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f35(Xs,P_1)),nil_nat))))|hBOOL(hAPP_list_nat_bool(P_1,Xs)).
% 13.91/13.76 0 [] Xs=nil_bool|is_bool($f36(Xs)).
% 13.91/13.76 0 [] Xs=nil_bool|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f37(Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f36(Xs)),nil_bool)).
% 13.91/13.76 0 [] Xs_72=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f38(Xs_72)).
% 13.91/13.76 0 [] Xs_72=nil_Ar126264853le_alt|Xs_72=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f39(Xs_72)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f38(Xs_72)),nil_Ar126264853le_alt)).
% 13.91/13.76 0 [] Xs_72=nil_nat|Xs_72=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f41(Xs_72)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f40(Xs_72)),nil_nat)).
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,Xs),nil_Ar126264853le_alt))|hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs)).
% 13.91/13.76 0 [] hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,Xs),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,Xs),nil_nat))|hBOOL(hAPP_list_nat_bool(null_nat,Xs)).
% 13.91/13.76 0 [] hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,Xs),nil_nat))| -hBOOL(hAPP_list_nat_bool(null_nat,Xs)).
% 13.91/13.76 0 [] rotate1322903650le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] rotate1_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)).
% 13.91/13.76 0 [] rotate1_nat(nil_nat)=nil_nat.
% 13.91/13.76 0 [] rotate1_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)).
% 13.91/13.76 0 [] rotate1_nat(nil_nat)=nil_nat.
% 13.91/13.76 0 [] rotate1322903650le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_111),Xs_71))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_71),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_111),nil_Ar126264853le_alt)).
% 13.91/13.76 0 [] rotate1322903650le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] rotate1322903650le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_111),Xs_71))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_71),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_111),nil_Ar126264853le_alt)).
% 13.91/13.76 0 [] rotate1_nat(nil_nat)=nil_nat.
% 13.91/13.76 0 [] rotate1_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_111),Xs_71))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_71),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_111),nil_nat)).
% 13.91/13.76 0 [] rotate1322903650le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] rotate1_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_111),Xs_71))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_71),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_111),nil_nat)).
% 13.91/13.76 0 [] hBOOL(hAPP_list_bool_bool(distinct_bool,Ws_1))|is_bool($f42(Ws_1)).
% 13.91/13.76 0 [] hBOOL(hAPP_list_bool_bool(distinct_bool,Ws_1))|Ws_1=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f45(Ws_1)),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f42(Ws_1)),nil_bool)),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f44(Ws_1)),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f42(Ws_1)),nil_bool)),$f43(Ws_1))))).
% 13.91/13.76 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Ws))|is_Arr1861959080le_alt($f46(Ws)).
% 13.91/13.76 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Ws))|Ws=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f49(Ws)),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f46(Ws)),nil_Ar126264853le_alt)),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f48(Ws)),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f46(Ws)),nil_Ar126264853le_alt)),$f47(Ws))))).
% 13.91/13.76 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,Ws))|Ws=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f53(Ws)),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f50(Ws)),nil_nat)),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f52(Ws)),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f50(Ws)),nil_nat)),$f51(Ws))))).
% 13.91/13.76 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_bool_list_bool(replicate_bool(I_1),X_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_bool_list_bool(replicate_bool(I_1),X_1)).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(I_13),X_110)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_110),nil_Ar126264853le_alt))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_110),hAPP_A832564074le_alt(replic351609551le_alt(I_13),X_110)).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(I_13),X_110)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_110),nil_nat))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_110),hAPP_nat_list_nat(replicate_nat(I_13),X_110)).
% 13.91/13.76 0 [] rev_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,rev_bool(Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)).
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_109),Xs_70))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(Xs_70)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_109),nil_Ar126264853le_alt)).
% 13.91/13.76 0 [] rev_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_109),Xs_70))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(Xs_70)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_109),nil_nat)).
% 13.91/13.76 0 [] rev_bool(Xs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,rev_bool(Ys)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool)).
% 13.91/13.76 0 [] rev_bool(Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,rev_bool(Ys)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),nil_bool)).
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(Xs)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys)|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(Ys)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),nil_Ar126264853le_alt)).
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(Ys)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),nil_Ar126264853le_alt)).
% 13.91/13.76 0 [] rev_nat(Xs)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(Ys)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),nil_nat)).
% 13.91/13.76 0 [] rev_nat(Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(Ys)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),nil_nat)).
% 13.91/13.76 0 [] Xs_69=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_69),Ys_18))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_69).
% 13.91/13.76 0 [] Xs_69=nil_nat|hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_69),Ys_18))=hAPP_list_nat_nat(hd_nat,Xs_69).
% 13.91/13.76 0 [] Xs_68!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_68),Ys_17))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Ys_17).
% 13.91/13.76 0 [] Xs_68=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_68),Ys_17))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_68).
% 13.91/13.76 0 [] Xs_68!=nil_nat|hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_68),Ys_17))=hAPP_list_nat_nat(hd_nat,Ys_17).
% 13.91/13.76 0 [] Xs_68=nil_nat|hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_68),Ys_17))=hAPP_list_nat_nat(hd_nat,Xs_68).
% 13.91/13.76 0 [] Xs_67=nil_Ar126264853le_alt|tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_67),Ys_16))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,tl_Arr1453005548le_alt(Xs_67)),Ys_16).
% 13.91/13.76 0 [] Xs_67=nil_nat|tl_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_67),Ys_16))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,tl_nat(Xs_67)),Ys_16).
% 13.91/13.76 0 [] rev_nat(Xs)!=rev_nat(Ys)|Xs=Ys.
% 13.91/13.76 0 [] rev_nat(Xs)=rev_nat(Ys)|Xs!=Ys.
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(Xs)!=rev_Ar2093961333le_alt(Ys)|Xs=Ys.
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(Xs)=rev_Ar2093961333le_alt(Ys)|Xs!=Ys.
% 13.91/13.76 0 [] rev_nat(Xs)!=Ys|Xs=rev_nat(Ys).
% 13.91/13.76 0 [] rev_nat(Xs)=Ys|Xs!=rev_nat(Ys).
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(Xs)!=Ys|Xs=rev_Ar2093961333le_alt(Ys).
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(Xs)=Ys|Xs!=rev_Ar2093961333le_alt(Ys).
% 13.91/13.76 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))|hBOOL(hAPP_A862370221t_bool(A,X_1)).
% 13.91/13.76 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))| -hBOOL(hAPP_A862370221t_bool(A,X_1)).
% 13.91/13.76 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_nat_bool(A,X_1)).
% 13.91/13.76 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))| -hBOOL(hAPP_nat_bool(A,X_1)).
% 13.91/13.76 0 [] collect_nat(P_1)=P_1.
% 13.91/13.76 0 [] rev_nat(hAPP_nat_list_nat(replicate_nat(N_44),X_108))=hAPP_nat_list_nat(replicate_nat(N_44),X_108).
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(hAPP_A832564074le_alt(replic351609551le_alt(N_44),X_108))=hAPP_A832564074le_alt(replic351609551le_alt(N_44),X_108).
% 13.91/13.76 0 [] rev_nat(rev_nat(Xs_66))=Xs_66.
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(rev_Ar2093961333le_alt(Xs_66))=Xs_66.
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,X_1),Y_2))|X_1=Y_2.
% 13.91/13.76 0 [] hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,X_1),Y_2))|X_1!=Y_2.
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,X_1),Y_2))|X_1=Y_2.
% 13.91/13.76 0 [] hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,X_1),Y_2))|X_1!=Y_2.
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(Xs)!=nil_Ar126264853le_alt|Xs=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(Xs)=nil_Ar126264853le_alt|Xs!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] rev_nat(Xs)!=nil_nat|Xs=nil_nat.
% 13.91/13.76 0 [] rev_nat(Xs)=nil_nat|Xs!=nil_nat.
% 13.91/13.76 0 [] nil_Ar126264853le_alt!=rev_Ar2093961333le_alt(Xs)|Xs=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] nil_Ar126264853le_alt=rev_Ar2093961333le_alt(Xs)|Xs!=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] nil_nat!=rev_nat(Xs)|Xs=nil_nat.
% 13.91/13.76 0 [] nil_nat=rev_nat(Xs)|Xs!=nil_nat.
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] rev_nat(nil_nat)=nil_nat.
% 13.91/13.76 0 [] rev_Ar2093961333le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_65),Ys_15))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(Ys_15)),rev_Ar2093961333le_alt(Xs_65)).
% 13.91/13.76 0 [] rev_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_65),Ys_15))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(Ys_15)),rev_nat(Xs_65)).
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rev_Ar2093961333le_alt(Xs)))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs)).
% 13.91/13.76 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rev_Ar2093961333le_alt(Xs)))| -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs)).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,rev_nat(Xs)))|hBOOL(hAPP_list_nat_bool(distinct_nat,Xs)).
% 13.91/13.76 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,rev_nat(Xs)))| -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs)).
% 13.91/13.76 0 [] Xs_64=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,rev_Ar2093961333le_alt(Xs_64))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_64).
% 13.91/13.76 0 [] Xs_64=nil_nat|hAPP_list_nat_nat(last_nat,rev_nat(Xs_64))=hAPP_list_nat_nat(hd_nat,Xs_64).
% 13.91/13.76 0 [] Xs_63=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,rev_Ar2093961333le_alt(Xs_63))=hAPP_l1105242632le_alt(last_A57386030le_alt,Xs_63).
% 13.91/13.76 0 [] Xs_63=nil_nat|hAPP_list_nat_nat(hd_nat,rev_nat(Xs_63))=hAPP_list_nat_nat(last_nat,Xs_63).
% 13.91/13.76 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_43),X_107)),hAPP_A832564074le_alt(replic351609551le_alt(K_6),X_107))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(K_6),X_107)),hAPP_A832564074le_alt(replic351609551le_alt(N_43),X_107)).
% 13.91/13.76 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(N_43),X_107)),hAPP_nat_list_nat(replicate_nat(K_6),X_107))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(K_6),X_107)),hAPP_nat_list_nat(replicate_nat(N_43),X_107)).
% 13.91/13.76 0 [] Xs=nil_bool|rotate1_bool(Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,tl_bool(Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_list_bool_bool(hd_bool,Xs)),nil_bool)).
% 13.91/13.76 0 [] Xs_62=nil_Ar126264853le_alt|rotate1322903650le_alt(Xs_62)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,tl_Arr1453005548le_alt(Xs_62)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_62)),nil_Ar126264853le_alt)).
% 13.91/13.76 0 [] Xs_62=nil_nat|rotate1_nat(Xs_62)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,tl_nat(Xs_62)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_list_nat_nat(hd_nat,Xs_62)),nil_nat)).
% 13.91/13.76 0 [] tl_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=Xs.
% 13.91/13.76 0 [] tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_106),Xs_61))=Xs_61.
% 13.91/13.76 0 [] tl_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_106),Xs_61))=Xs_61.
% 13.91/13.76 0 [] tl_Arr1453005548le_alt(nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] tl_nat(nil_nat)=nil_nat.
% 13.91/13.76 0 [] -hBOOL(hAPP_list_bool_bool(hd_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(X_1).
% 13.91/13.76 0 [] hBOOL(hAPP_list_bool_bool(hd_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(X_1).
% 13.91/13.76 0 [] -is_Arr1861959080le_alt(X_105)|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_105),Xs_60))=X_105.
% 13.91/13.76 0 [] hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_105),Xs_60))=X_105.
% 13.91/13.76 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_59))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,tl_Arr1453005548le_alt(Xs_59))).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_59))|hBOOL(hAPP_list_nat_bool(distinct_nat,tl_nat(Xs_59))).
% 13.91/13.76 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_58))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,tl_nat(Xs_58))).
% 13.91/13.76 0 [] rotate1322903650le_alt(Xs)!=nil_Ar126264853le_alt|Xs=nil_Ar126264853le_alt.
% 13.91/13.76 0 [] rotate1322903650le_alt(Xs)=nil_Ar126264853le_alt|Xs!=nil_Ar126264853le_alt.
% 13.91/13.77 0 [] rotate1_nat(Xs)!=nil_nat|Xs=nil_nat.
% 13.91/13.77 0 [] rotate1_nat(Xs)=nil_nat|Xs!=nil_nat.
% 13.91/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rotate1322903650le_alt(Xs)))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs)).
% 13.91/13.77 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rotate1322903650le_alt(Xs)))| -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,rotate1_nat(Xs)))|hBOOL(hAPP_list_nat_bool(distinct_nat,Xs)).
% 13.91/13.77 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,rotate1_nat(Xs)))| -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs)).
% 13.91/13.77 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)!=rev_bool(Xs)|Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool).
% 13.91/13.77 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)=rev_bool(Xs)|Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool).
% 13.91/13.77 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt)!=rev_Ar2093961333le_alt(Xs)|Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt).
% 13.91/13.77 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt)=rev_Ar2093961333le_alt(Xs)|Xs!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt).
% 13.91/13.77 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)!=rev_nat(Xs)|Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat).
% 13.91/13.77 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)=rev_nat(Xs)|Xs!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat).
% 13.91/13.77 0 [] rev_bool(Xs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)|Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool).
% 13.91/13.77 0 [] rev_bool(Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool)|Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool).
% 13.91/13.77 0 [] rev_Ar2093961333le_alt(Xs)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt)|Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt).
% 13.91/13.77 0 [] rev_Ar2093961333le_alt(Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt)|Xs!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt).
% 13.91/13.77 0 [] rev_nat(Xs)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)|Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat).
% 13.91/13.77 0 [] rev_nat(Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat)|Xs!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat).
% 13.91/13.77 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_bool_list_bool(replicate_bool(N_1),X_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_bool_list_bool(replicate_bool(N_1),X_1)),Xs)).
% 13.91/13.77 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_42),X_104)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_104),Xs_57))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_104),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_42),X_104)),Xs_57)).
% 13.91/13.77 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(N_42),X_104)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_104),Xs_57))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_104),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(N_42),X_104)),Xs_57)).
% 13.91/13.77 0 [] e_qual_e_qual_list_nat=fe_qual_list_nat.
% 13.91/13.77 0 [] e_qual_499625528le_alt=fe_qual796301787le_alt.
% 13.91/13.77 0 [] hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,X_103),X_103)).
% 13.91/13.77 0 [] hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,X_103),X_103)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,X_1),Y_2))|X_1=Y_2.
% 13.91/13.77 0 [] hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,X_1),Y_2))|X_1!=Y_2.
% 13.91/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,X_1),Y_2))|X_1=Y_2.
% 13.91/13.77 0 [] hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,X_1),Y_2))|X_1!=Y_2.
% 13.91/13.77 0 [] fe_qual_list_nat=e_qual_e_qual_list_nat.
% 13.91/13.77 0 [] fe_qual796301787le_alt=e_qual_499625528le_alt.
% 13.91/13.77 0 [] dropWh156852662le_alt(P_1,Xs)=nil_Ar126264853le_alt| -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,dropWh156852662le_alt(P_1,Xs)))).
% 13.91/13.77 0 [] dropWhile_nat(P_1,Xs)=nil_nat| -hBOOL(hAPP_nat_bool(P_1,hAPP_list_nat_nat(hd_nat,dropWhile_nat(P_1,Xs)))).
% 13.91/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),nil_Ar126264853le_alt)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),nil_nat)).
% 13.91/13.77 0 [] -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,nil_Ar126264853le_alt),Y_66)).
% 13.91/13.77 0 [] -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,nil_nat),Y_66)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(X_1),Xs))|hBOOL(hAPP_list_bool_bool(listMem_bool(X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Xs))).
% 13.91/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_102),Xs_56))|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_102),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_65),Xs_56))).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(X_102),Xs_56))|hBOOL(hAPP_list_nat_bool(listMem_nat(X_102),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_65),Xs_56))).
% 13.91/13.77 0 [] -hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),Y_2))| -hBOOL(X_1)|hBOOL(Y_2)|hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,Xs),Y_2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),Y_2))|hBOOL(X_1)| -hBOOL(Y_2)|hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,Xs),Y_2)).
% 13.91/13.77 0 [] hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),Y_2))|hBOOL(X_1)|hBOOL(Y_2).
% 13.91/13.77 0 [] hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),Y_2))| -hBOOL(X_1)| -hBOOL(Y_2).
% 13.91/13.77 0 [] hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),Y_2))| -hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,Xs),Y_2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)| -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)),Y_2))|X_1=Y_2|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),Y_2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)),Y_2))|X_1!=Y_2.
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)),Y_2))| -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),Y_2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)),Y_2))|X_1=Y_2|hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),Y_2)).
% 13.91/13.77 0 [] hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)),Y_2))|X_1!=Y_2.
% 13.91/13.77 0 [] hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),Y_2)).
% 13.91/13.77 0 [] hBOOL(hAPP_list_bool_bool(listMem_bool(X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))).
% 13.91/13.77 0 [] hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_101),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_101),Xs_55))).
% 13.91/13.77 0 [] hBOOL(hAPP_list_nat_bool(listMem_nat(X_101),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_101),Xs_55))).
% 13.91/13.77 0 [] -hBOOL(hAPP_bool_bool(P_1,X_1))|dropWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=dropWhile_bool(P_1,Xs).
% 13.91/13.77 0 [] hBOOL(hAPP_bool_bool(P_1,X_1))|dropWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs).
% 13.91/13.77 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,X_1))|dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=dropWh156852662le_alt(P_1,Xs).
% 13.91/13.77 0 [] hBOOL(hAPP_A862370221t_bool(P_1,X_1))|dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs).
% 13.91/13.77 0 [] -hBOOL(hAPP_nat_bool(P_1,X_1))|dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=dropWhile_nat(P_1,Xs).
% 13.91/13.77 0 [] hBOOL(hAPP_nat_bool(P_1,X_1))|dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs).
% 13.91/13.77 0 [] dropWh156852662le_alt(P_1,nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.91/13.77 0 [] dropWhile_nat(P_1,nil_nat)=nil_nat.
% 13.91/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,dropWh156852662le_alt(P_1,Xs))).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|hBOOL(hAPP_list_nat_bool(distinct_nat,dropWhile_nat(P_1,Xs))).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,dropWhile_nat(P_1,Xs))).
% 13.91/13.77 0 [] dropWhile_bool(P_1,Xs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,takeWhile_bool(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)).
% 13.91/13.77 0 [] dropWhile_bool(P_1,Xs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)| -hBOOL(hAPP_bool_bool(P_1,Y_2)).
% 13.91/13.77 0 [] dropWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,takeWhile_bool(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys))|hBOOL(hAPP_bool_bool(P_1,Y_2)).
% 13.91/13.77 0 [] dropWh156852662le_alt(P_1,Xs)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys)|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,takeWh536362254le_alt(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys)).
% 13.91/13.77 0 [] dropWh156852662le_alt(P_1,Xs)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys)| -hBOOL(hAPP_A862370221t_bool(P_1,Y_2)).
% 13.91/13.77 0 [] dropWh156852662le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,takeWh536362254le_alt(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys))|hBOOL(hAPP_A862370221t_bool(P_1,Y_2)).
% 13.91/13.77 0 [] dropWhile_nat(P_1,Xs)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,takeWhile_nat(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)).
% 13.91/13.77 0 [] dropWhile_nat(P_1,Xs)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)| -hBOOL(hAPP_nat_bool(P_1,Y_2)).
% 13.91/13.77 0 [] dropWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,takeWhile_nat(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys))|hBOOL(hAPP_nat_bool(P_1,Y_2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|is_bool($f55(A1,A2))|is_bool($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|is_bool($f55(A1,A2))|is_bool($f56(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|is_bool($f55(A1,A2))| -hBOOL(A1)|hBOOL($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|is_bool($f55(A1,A2))|hBOOL(A1)| -hBOOL($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|is_bool($f55(A1,A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f56(A1,A2)),$f57(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|is_bool($f55(A1,A2))|hBOOL(hAPP_list_bool_bool(listMem_bool($f58(A1,A2)),$f57(A1,A2))).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -hBOOL(A1)|hBOOL($f55(A1,A2))|is_bool($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -hBOOL(A1)|hBOOL($f55(A1,A2))|is_bool($f56(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -hBOOL(A1)|hBOOL($f55(A1,A2))|hBOOL($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -hBOOL(A1)|hBOOL($f55(A1,A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f56(A1,A2)),$f57(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -hBOOL(A1)|hBOOL($f55(A1,A2))|hBOOL(hAPP_list_bool_bool(listMem_bool($f58(A1,A2)),$f57(A1,A2))).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|hBOOL(A1)| -hBOOL($f55(A1,A2))|is_bool($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|hBOOL(A1)| -hBOOL($f55(A1,A2))|is_bool($f56(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|hBOOL(A1)| -hBOOL($f55(A1,A2))| -hBOOL($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|hBOOL(A1)| -hBOOL($f55(A1,A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f56(A1,A2)),$f57(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|hBOOL(A1)| -hBOOL($f55(A1,A2))|hBOOL(hAPP_list_bool_bool(listMem_bool($f58(A1,A2)),$f57(A1,A2))).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A1,A2)),$f54(A1,A2))|is_bool($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A1,A2)),$f54(A1,A2))|is_bool($f56(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A1,A2)),$f54(A1,A2))| -hBOOL(A1)|hBOOL($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A1,A2)),$f54(A1,A2))|hBOOL(A1)| -hBOOL($f58(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A1,A2)),$f54(A1,A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f56(A1,A2)),$f57(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A1,A2)),$f54(A1,A2))|hBOOL(hAPP_list_bool_bool(listMem_bool($f58(A1,A2)),$f57(A1,A2))).
% 13.91/13.77 0 [] hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -is_bool(X_4)|hBOOL(A1)|hBOOL(X_4)|A2!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19).
% 13.91/13.77 0 [] hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -is_bool(X_4)| -hBOOL(A1)| -hBOOL(X_4)|A2!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19).
% 13.91/13.77 0 [] hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -is_bool(X2)| -is_bool(Y_25)|hBOOL(A1)|hBOOL(X2)|A2!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),X3)| -hBOOL(hAPP_list_bool_bool(listMem_bool(X2),X3)).
% 13.91/13.77 0 [] hBOOL(hAPP_list_bool_bool(listMem_bool(A1),A2))| -is_bool(X2)| -is_bool(Y_25)| -hBOOL(A1)| -hBOOL(X2)|A2!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),X3)| -hBOOL(hAPP_list_bool_bool(listMem_bool(X2),X3)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|is_Arr1861959080le_alt($f60(A1,A2))|is_Arr1861959080le_alt($f63(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|is_Arr1861959080le_alt($f60(A1,A2))|is_Arr1861959080le_alt($f61(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|is_Arr1861959080le_alt($f60(A1,A2))|A1=$f63(A1,A2).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|is_Arr1861959080le_alt($f60(A1,A2))|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f61(A1,A2)),$f62(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|is_Arr1861959080le_alt($f60(A1,A2))|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt($f63(A1,A2)),$f62(A1,A2))).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A1=$f60(A1,A2)|is_Arr1861959080le_alt($f63(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A1=$f60(A1,A2)|is_Arr1861959080le_alt($f61(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A1=$f60(A1,A2)|A1=$f63(A1,A2).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A1=$f60(A1,A2)|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f61(A1,A2)),$f62(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A1=$f60(A1,A2)|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt($f63(A1,A2)),$f62(A1,A2))).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A1,A2)),$f59(A1,A2))|is_Arr1861959080le_alt($f63(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A1,A2)),$f59(A1,A2))|is_Arr1861959080le_alt($f61(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A1,A2)),$f59(A1,A2))|A1=$f63(A1,A2).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A1,A2)),$f59(A1,A2))|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f61(A1,A2)),$f62(A1,A2)).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A1,A2)),$f59(A1,A2))|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt($f63(A1,A2)),$f62(A1,A2))).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))| -is_Arr1861959080le_alt(X_4)|A1!=X_4|A2!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Xs_19).
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(A1)|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A1),A2))| -is_Arr1861959080le_alt(X4)| -is_Arr1861959080le_alt(Y_25)|A1!=X4|A2!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),X5)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X4),X5)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))|A1=$f65(A1,A2)|A1=$f68(A1,A2).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))|A1=$f65(A1,A2)|A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f66(A1,A2)),$f67(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))|A1=$f65(A1,A2)|hBOOL(hAPP_list_nat_bool(listMem_nat($f68(A1,A2)),$f67(A1,A2))).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))|A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f65(A1,A2)),$f64(A1,A2))|A1=$f68(A1,A2).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))|A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f65(A1,A2)),$f64(A1,A2))|A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f66(A1,A2)),$f67(A1,A2)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))|A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f65(A1,A2)),$f64(A1,A2))|hBOOL(hAPP_list_nat_bool(listMem_nat($f68(A1,A2)),$f67(A1,A2))).
% 13.91/13.77 0 [] hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))|A1!=X_4|A2!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19).
% 13.91/13.77 0 [] hBOOL(hAPP_list_nat_bool(listMem_nat(A1),A2))|A1!=X6|A2!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),X7)| -hBOOL(hAPP_list_nat_bool(listMem_nat(X6),X7)).
% 13.91/13.77 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,takeWh536362254le_alt(P_1,Xs)),dropWh156852662le_alt(P_1,Xs))=Xs.
% 13.91/13.77 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,takeWhile_nat(P_1,Xs)),dropWhile_nat(P_1,Xs))=Xs.
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(X_100)|N_41=zero_zero_nat|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_41),X_100))=X_100.
% 13.91/13.77 0 [] N_41=zero_zero_nat|hAPP_list_nat_nat(hd_nat,hAPP_nat_list_nat(replicate_nat(N_41),X_100))=X_100.
% 13.91/13.77 0 [] N_40=zero_zero_nat|hAPP_list_nat_nat(last_nat,hAPP_nat_list_nat(replicate_nat(N_40),X_99))=X_99.
% 13.91/13.77 0 [] -is_Arr1861959080le_alt(X_99)|N_40=zero_zero_nat|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_40),X_99))=X_99.
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(Xs,Ys,P_1))|is_bool($f72(Xs,Ys,P_1))|is_Arr1861959080le_alt($f76(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(Xs,Ys,P_1))|is_bool($f72(Xs,Ys,P_1))|is_bool($f74(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(Xs,Ys,P_1))|is_bool($f72(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,$f75(Xs,Ys,P_1)),$f73(Xs,Ys,P_1)))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(Xs,Ys,P_1))|is_bool($f72(Xs,Ys,P_1))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f76(Xs,Ys,P_1)),$f75(Xs,Ys,P_1))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f74(Xs,Ys,P_1)),$f73(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(Xs,Ys,P_1))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(Xs,Ys,P_1)),$f71(Xs,Ys,P_1))))|is_Arr1861959080le_alt($f76(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(Xs,Ys,P_1))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(Xs,Ys,P_1)),$f71(Xs,Ys,P_1))))|is_bool($f74(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(Xs,Ys,P_1))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(Xs,Ys,P_1)),$f71(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,$f75(Xs,Ys,P_1)),$f73(Xs,Ys,P_1)))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(Xs,Ys,P_1))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(Xs,Ys,P_1)),$f71(Xs,Ys,P_1))))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f76(Xs,Ys,P_1)),$f75(Xs,Ys,P_1))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f74(Xs,Ys,P_1)),$f73(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(Xs,Ys,P_1)),$f69(Xs,Ys,P_1))),nil_bool))|is_bool($f72(Xs,Ys,P_1))|is_Arr1861959080le_alt($f76(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(Xs,Ys,P_1)),$f69(Xs,Ys,P_1))),nil_bool))|is_bool($f72(Xs,Ys,P_1))|is_bool($f74(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(Xs,Ys,P_1)),$f69(Xs,Ys,P_1))),nil_bool))|is_bool($f72(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,$f75(Xs,Ys,P_1)),$f73(Xs,Ys,P_1)))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(Xs,Ys,P_1)),$f69(Xs,Ys,P_1))),nil_bool))|is_bool($f72(Xs,Ys,P_1))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f76(Xs,Ys,P_1)),$f75(Xs,Ys,P_1))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f74(Xs,Ys,P_1)),$f73(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(Xs,Ys,P_1)),$f69(Xs,Ys,P_1))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(Xs,Ys,P_1)),$f71(Xs,Ys,P_1))))|is_Arr1861959080le_alt($f76(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(Xs,Ys,P_1)),$f69(Xs,Ys,P_1))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(Xs,Ys,P_1)),$f71(Xs,Ys,P_1))))|is_bool($f74(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(Xs,Ys,P_1)),$f69(Xs,Ys,P_1))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(Xs,Ys,P_1)),$f71(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,$f75(Xs,Ys,P_1)),$f73(Xs,Ys,P_1)))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.91/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(Xs,Ys,P_1)),$f69(Xs,Ys,P_1))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(Xs,Ys,P_1)),$f71(Xs,Ys,P_1))))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f76(Xs,Ys,P_1)),$f75(Xs,Ys,P_1))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f74(Xs,Ys,P_1)),$f73(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(Xs,Ys,P_1)),$f77(Xs,Ys,P_1))),nil_bool))|is_bool($f80(Xs,Ys,P_1))|is_bool($f82(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(Xs,Ys,P_1)),$f77(Xs,Ys,P_1))),nil_bool))|is_bool($f80(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,$f83(Xs,Ys,P_1)),$f81(Xs,Ys,P_1)))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(Xs,Ys,P_1)),$f77(Xs,Ys,P_1))),nil_bool))|is_bool($f80(Xs,Ys,P_1))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f84(Xs,Ys,P_1)),$f83(Xs,Ys,P_1))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f82(Xs,Ys,P_1)),$f81(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(Xs,Ys,P_1)),$f77(Xs,Ys,P_1))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f80(Xs,Ys,P_1)),$f79(Xs,Ys,P_1))))|is_bool($f82(Xs,Ys,P_1))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(Xs,Ys,P_1)),$f77(Xs,Ys,P_1))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f80(Xs,Ys,P_1)),$f79(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,$f83(Xs,Ys,P_1)),$f81(Xs,Ys,P_1)))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(Xs,Ys,P_1)),$f77(Xs,Ys,P_1))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,nil_nat),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f80(Xs,Ys,P_1)),$f79(Xs,Ys,P_1))))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f84(Xs,Ys,P_1)),$f83(Xs,Ys,P_1))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f82(Xs,Ys,P_1)),$f81(Xs,Ys,P_1))))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(Xs,Ys,P_1))|is_Arr1861959080le_alt($f88(Xs,Ys,P_1))|is_bool($f92(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(Xs,Ys,P_1))|is_Arr1861959080le_alt($f88(Xs,Ys,P_1))|is_Arr1861959080le_alt($f90(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(Xs,Ys,P_1))|is_Arr1861959080le_alt($f88(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,$f91(Xs,Ys,P_1)),$f89(Xs,Ys,P_1)))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(Xs,Ys,P_1))|is_Arr1861959080le_alt($f88(Xs,Ys,P_1))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f92(Xs,Ys,P_1)),$f91(Xs,Ys,P_1))),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f90(Xs,Ys,P_1)),$f89(Xs,Ys,P_1))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(Xs,Ys,P_1))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(Xs,Ys,P_1)),$f87(Xs,Ys,P_1))))|is_bool($f92(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(Xs,Ys,P_1))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(Xs,Ys,P_1)),$f87(Xs,Ys,P_1))))|is_Arr1861959080le_alt($f90(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(Xs,Ys,P_1))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(Xs,Ys,P_1)),$f87(Xs,Ys,P_1))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,$f91(Xs,Ys,P_1)),$f89(Xs,Ys,P_1)))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(Xs,Ys,P_1))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(Xs,Ys,P_1)),$f87(Xs,Ys,P_1))))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f92(Xs,Ys,P_1)),$f91(Xs,Ys,P_1))),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f90(Xs,Ys,P_1)),$f89(Xs,Ys,P_1))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(Xs,Ys,P_1)),$f85(Xs,Ys,P_1))),nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f88(Xs,Ys,P_1))|is_bool($f92(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(Xs,Ys,P_1)),$f85(Xs,Ys,P_1))),nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f88(Xs,Ys,P_1))|is_Arr1861959080le_alt($f90(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(Xs,Ys,P_1)),$f85(Xs,Ys,P_1))),nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f88(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,$f91(Xs,Ys,P_1)),$f89(Xs,Ys,P_1)))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(Xs,Ys,P_1)),$f85(Xs,Ys,P_1))),nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f88(Xs,Ys,P_1))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f92(Xs,Ys,P_1)),$f91(Xs,Ys,P_1))),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f90(Xs,Ys,P_1)),$f89(Xs,Ys,P_1))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(Xs,Ys,P_1)),$f85(Xs,Ys,P_1))),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(Xs,Ys,P_1)),$f87(Xs,Ys,P_1))))|is_bool($f92(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(Xs,Ys,P_1)),$f85(Xs,Ys,P_1))),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(Xs,Ys,P_1)),$f87(Xs,Ys,P_1))))|is_Arr1861959080le_alt($f90(Xs,Ys,P_1))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(Xs,Ys,P_1)),$f85(Xs,Ys,P_1))),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(Xs,Ys,P_1)),$f87(Xs,Ys,P_1))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,$f91(Xs,Ys,P_1)),$f89(Xs,Ys,P_1)))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(Xs,Ys,P_1)),$f85(Xs,Ys,P_1))),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(Xs,Ys,P_1)),$f87(Xs,Ys,P_1))))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f92(Xs,Ys,P_1)),$f91(Xs,Ys,P_1))),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f90(Xs,Ys,P_1)),$f89(Xs,Ys,P_1))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),nil_nat))|is_bool($f94(Xs,Ys,P_1))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(Xs,Ys,P_1)),$f95(Xs,Ys,P_1))))|is_bool($f100(Xs,Ys,P_1))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),nil_nat))|is_bool($f94(Xs,Ys,P_1))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(Xs,Ys,P_1)),$f95(Xs,Ys,P_1))))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,$f99(Xs,Ys,P_1)),$f97(Xs,Ys,P_1)))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),nil_nat))|is_bool($f94(Xs,Ys,P_1))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(Xs,Ys,P_1)),$f95(Xs,Ys,P_1))))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f100(Xs,Ys,P_1)),$f99(Xs,Ys,P_1))),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f98(Xs,Ys,P_1)),$f97(Xs,Ys,P_1))))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f94(Xs,Ys,P_1)),$f93(Xs,Ys,P_1))),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(Xs,Ys,P_1)),$f95(Xs,Ys,P_1))))|is_bool($f100(Xs,Ys,P_1))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f94(Xs,Ys,P_1)),$f93(Xs,Ys,P_1))),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(Xs,Ys,P_1)),$f95(Xs,Ys,P_1))))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,$f99(Xs,Ys,P_1)),$f97(Xs,Ys,P_1)))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f94(Xs,Ys,P_1)),$f93(Xs,Ys,P_1))),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(Xs,Ys,P_1)),$f95(Xs,Ys,P_1))))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f100(Xs,Ys,P_1)),$f99(Xs,Ys,P_1))),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f98(Xs,Ys,P_1)),$f97(Xs,Ys,P_1))))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(P_1,Xs),Ys)).
% 13.94/13.77 0 [] hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,nil_Ar126264853le_alt),nil_Ar126264853le_alt)).
% 13.94/13.77 0 [] hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,nil_nat),nil_nat)).
% 13.94/13.77 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(R_2,X_1),Y_2))| -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,Xs),Ys))|hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys))).
% 13.94/13.77 0 [] -hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(R_2,X_1),Y_2))| -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,Xs),Ys))|hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_2),Ys))).
% 13.94/13.77 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(R_2,X_1),Y_2))| -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,Xs),Ys))|hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys))).
% 13.94/13.77 0 [] takeWh536362254le_alt(P_1,nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.94/13.77 0 [] takeWhile_nat(P_1,nil_nat)=nil_nat.
% 13.94/13.77 0 [] hAPP_nat_list_nat(replicate_nat(M_1),X_1)!=hAPP_nat_list_nat(replicate_nat(N_1),Y_2)|M_1=N_1.
% 13.94/13.77 0 [] hAPP_nat_list_nat(replicate_nat(M_1),X_1)!=hAPP_nat_list_nat(replicate_nat(N_1),Y_2)|M_1=zero_zero_nat|X_1=Y_2.
% 13.94/13.77 0 [] hAPP_nat_list_nat(replicate_nat(M_1),X_1)=hAPP_nat_list_nat(replicate_nat(N_1),Y_2)|M_1!=N_1|M_1!=zero_zero_nat.
% 13.94/13.77 0 [] hAPP_nat_list_nat(replicate_nat(M_1),X_1)=hAPP_nat_list_nat(replicate_nat(N_1),Y_2)|M_1!=N_1|X_1!=Y_2.
% 13.94/13.77 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hAPP_A832564074le_alt(replic351609551le_alt(M_1),X_1)!=hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2)|M_1=N_1.
% 13.94/13.77 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hAPP_A832564074le_alt(replic351609551le_alt(M_1),X_1)!=hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2)|M_1=zero_zero_nat|X_1=Y_2.
% 13.94/13.77 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hAPP_A832564074le_alt(replic351609551le_alt(M_1),X_1)=hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2)|M_1!=N_1|M_1!=zero_zero_nat.
% 13.94/13.77 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hAPP_A832564074le_alt(replic351609551le_alt(M_1),X_1)=hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2)|M_1!=N_1|X_1!=Y_2.
% 13.94/13.77 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,takeWh536362254le_alt(P_1,Xs))).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|hBOOL(hAPP_list_nat_bool(distinct_nat,takeWhile_nat(P_1,Xs))).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,takeWhile_nat(P_1,Xs))).
% 13.94/13.77 0 [] hAPP_A832564074le_alt(replic351609551le_alt(zero_zero_nat),X_98)=nil_Ar126264853le_alt.
% 13.94/13.77 0 [] hAPP_nat_list_nat(replicate_nat(zero_zero_nat),X_98)=nil_nat.
% 13.94/13.77 0 [] nil_Ar126264853le_alt!=hAPP_A832564074le_alt(replic351609551le_alt(N_1),X_1)|N_1=zero_zero_nat.
% 13.94/13.77 0 [] nil_Ar126264853le_alt=hAPP_A832564074le_alt(replic351609551le_alt(N_1),X_1)|N_1!=zero_zero_nat.
% 13.94/13.77 0 [] nil_nat!=hAPP_nat_list_nat(replicate_nat(N_1),X_1)|N_1=zero_zero_nat.
% 13.94/13.77 0 [] nil_nat=hAPP_nat_list_nat(replicate_nat(N_1),X_1)|N_1!=zero_zero_nat.
% 13.94/13.77 0 [] hAPP_A832564074le_alt(replic351609551le_alt(N_1),X_1)!=nil_Ar126264853le_alt|N_1=zero_zero_nat.
% 13.94/13.77 0 [] hAPP_A832564074le_alt(replic351609551le_alt(N_1),X_1)=nil_Ar126264853le_alt|N_1!=zero_zero_nat.
% 13.94/13.77 0 [] hAPP_nat_list_nat(replicate_nat(N_1),X_1)!=nil_nat|N_1=zero_zero_nat.
% 13.94/13.77 0 [] hAPP_nat_list_nat(replicate_nat(N_1),X_1)=nil_nat|N_1!=zero_zero_nat.
% 13.94/13.77 0 [] -hBOOL(hAPP_bool_bool(P_1,X_1))|takeWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),takeWhile_bool(P_1,Xs)).
% 13.94/13.77 0 [] hBOOL(hAPP_bool_bool(P_1,X_1))|takeWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=nil_bool.
% 13.94/13.77 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,X_1))|takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),takeWh536362254le_alt(P_1,Xs)).
% 13.94/13.77 0 [] hBOOL(hAPP_A862370221t_bool(P_1,X_1))|takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=nil_Ar126264853le_alt.
% 13.94/13.77 0 [] -hBOOL(hAPP_nat_bool(P_1,X_1))|takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),takeWhile_nat(P_1,Xs)).
% 13.94/13.77 0 [] hBOOL(hAPP_nat_bool(P_1,X_1))|takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=nil_nat.
% 13.94/13.77 0 [] hBOOL(hAPP_bool_bool(P_1,X_1))|takeWhile_bool(P_1,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),L_2)))=takeWhile_bool(P_1,Xs).
% 13.94/13.77 0 [] hBOOL(hAPP_A862370221t_bool(P_1,X_1))|takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),L_2)))=takeWh536362254le_alt(P_1,Xs).
% 13.94/13.77 0 [] hBOOL(hAPP_nat_bool(P_1,X_1))|takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),L_2)))=takeWhile_nat(P_1,Xs).
% 13.94/13.77 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))|sublist_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool),A)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool).
% 13.94/13.77 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))|sublist_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool),A)=nil_bool.
% 13.94/13.77 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))|sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt),A)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt).
% 13.94/13.77 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))|sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt),A)=nil_Ar126264853le_alt.
% 13.94/13.77 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))|sublist_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat),A)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat).
% 13.94/13.77 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A))|sublist_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat),A)=nil_nat.
% 13.94/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A1=nil_bool|is_bool($f104(R_2,A1,A2)).
% 13.94/13.77 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A1=nil_bool|is_bool($f103(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A1=nil_bool|A1=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f104(R_2,A1,A2)),$f102(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A1=nil_bool|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f103(R_2,A1,A2)),$f101(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A1=nil_bool|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(R_2,$f104(R_2,A1,A2)),$f103(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A1=nil_bool|hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,$f102(R_2,A1,A2)),$f101(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A2=nil_bool|is_bool($f104(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A2=nil_bool|is_bool($f103(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A2=nil_bool|A1=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f104(R_2,A1,A2)),$f102(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A2=nil_bool|A2=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f103(R_2,A1,A2)),$f101(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A2=nil_bool|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(R_2,$f104(R_2,A1,A2)),$f103(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A2=nil_bool|hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,$f102(R_2,A1,A2)),$f101(R_2,A1,A2))).
% 13.94/13.78 0 [] hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))|A1!=nil_bool|A2!=nil_bool.
% 13.94/13.78 0 [] hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,A1),A2))| -is_bool(X_4)| -is_bool(Y_25)|A1!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_4),Xs_19)|A2!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(R_2,X_4),Y_25))| -hBOOL(hAPP_list_bool_bool(listrelp_bool(R_2,Xs_19),Ys_6)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A1=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f108(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A1=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f107(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A1=nil_Ar126264853le_alt|A1=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f108(R_2,A1,A2)),$f106(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A1=nil_Ar126264853le_alt|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f107(R_2,A1,A2)),$f105(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A1=nil_Ar126264853le_alt|hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(R_2,$f108(R_2,A1,A2)),$f107(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A1=nil_Ar126264853le_alt|hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,$f106(R_2,A1,A2)),$f105(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A2=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f108(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A2=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f107(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A2=nil_Ar126264853le_alt|A1=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f108(R_2,A1,A2)),$f106(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A2=nil_Ar126264853le_alt|A2=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f107(R_2,A1,A2)),$f105(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A2=nil_Ar126264853le_alt|hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(R_2,$f108(R_2,A1,A2)),$f107(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A2=nil_Ar126264853le_alt|hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,$f106(R_2,A1,A2)),$f105(R_2,A1,A2))).
% 13.94/13.78 0 [] hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))|A1!=nil_Ar126264853le_alt|A2!=nil_Ar126264853le_alt.
% 13.94/13.78 0 [] hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,A1),A2))| -is_Arr1861959080le_alt(X_4)| -is_Arr1861959080le_alt(Y_25)|A1!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_4),Xs_19)|A2!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6)| -hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(R_2,X_4),Y_25))| -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(R_2,Xs_19),Ys_6)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A1=nil_nat|A1=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f112(R_2,A1,A2)),$f110(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A1=nil_nat|A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f111(R_2,A1,A2)),$f109(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A1=nil_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(R_2,$f112(R_2,A1,A2)),$f111(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A1=nil_nat|hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,$f110(R_2,A1,A2)),$f109(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A2=nil_nat|A1=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f112(R_2,A1,A2)),$f110(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A2=nil_nat|A2=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f111(R_2,A1,A2)),$f109(R_2,A1,A2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A2=nil_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(R_2,$f112(R_2,A1,A2)),$f111(R_2,A1,A2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A2=nil_nat|hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,$f110(R_2,A1,A2)),$f109(R_2,A1,A2))).
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A1!=nil_nat|A2!=nil_nat.
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,A1),A2))|A1!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19)|A2!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(R_2,X_4),Y_25))| -hBOOL(hAPP_list_nat_bool(listrelp_nat(R_2,Xs_19),Ys_6)).
% 13.94/13.78 0 [] list_s1237850263le_alt(Fa,nil_Ar126264853le_alt)=zero_zero_nat.
% 13.94/13.78 0 [] list_size_nat(Fa,nil_nat)=zero_zero_nat.
% 13.94/13.78 0 [] zero_zero_nat!=X_1|X_1=zero_zero_nat.
% 13.94/13.78 0 [] zero_zero_nat=X_1|X_1!=zero_zero_nat.
% 13.94/13.78 0 [] Xs=nil_bool| -hBOOL(hAPP_list_bool_bool(hd_bool,Xs))|hBOOL(hAPP_nat_bool(nth_bool(Xs),zero_zero_nat)).
% 13.94/13.78 0 [] Xs=nil_bool|hBOOL(hAPP_list_bool_bool(hd_bool,Xs))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),zero_zero_nat)).
% 13.94/13.78 0 [] Xs_54=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_54)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_54),zero_zero_nat).
% 13.94/13.78 0 [] Xs_54=nil_nat|hAPP_list_nat_nat(hd_nat,Xs_54)=hAPP_nat_nat(nth_nat(Xs_54),zero_zero_nat).
% 13.94/13.78 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),nil_nat)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat).
% 13.94/13.78 0 [] Xs=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))|takeWh536362254le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),hAPP_l1105242632le_alt(last_A57386030le_alt,Xs))),Xs)=butlas1262502241le_alt(Xs).
% 13.94/13.78 0 [] Xs=nil_nat| -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|takeWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),hAPP_list_nat_nat(last_nat,Xs))),Xs)=butlast_nat(Xs).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,X_1),Xs)=Xs.
% 13.94/13.78 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_1),Xs)=Xs.
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_1),Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_1),Xs)=Xs.
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_1),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Xs)))|hBOOL(hAPP_list_nat_bool(distinct_nat,Xs)).
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Xs)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs)).
% 13.94/13.78 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),Y_2),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),Y_2),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs)).
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,sublis888024346le_alt(Xs,I_11)))).
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,sublist_nat(Xs,I_11)))).
% 13.94/13.78 0 [] hAPP_nat_nat(F,X_1)=hAPP_nat_nat(F,Y_2)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Y_2),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Y_2),Xs)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,sublis888024346le_alt(Xs,I_11))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,sublist_nat(Xs,I_11))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs)))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs)).
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs)).
% 13.94/13.78 0 [] tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=list_c380068407le_alt(tl_Arr1453005548le_alt(Ys),cOMBK_1696648346le_alt(hAPP_l568342716le_alt(cOMBC_1058495865le_alt(append1166636842le_alt),Ys)),Xs).
% 13.94/13.78 0 [] tl_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=list_c554461815at_nat(tl_nat(Ys),cOMBK_1717478773at_nat(hAPP_l710375585st_nat(cOMBC_950362600st_nat(append_nat),Ys)),Xs).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Y_2),hAPP_l96088310l_bool(set_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))))| -hBOOL(Y_2)|hBOOL(X_1)|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Y_2),hAPP_l96088310l_bool(set_bool,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Y_2),hAPP_l96088310l_bool(set_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))))|hBOOL(Y_2)| -hBOOL(X_1)|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Y_2),hAPP_l96088310l_bool(set_bool,Xs))).
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(Y_2)| -is_Arr1861959080le_alt(X_1)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Y_2),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))))|Y_2=X_1|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Y_2),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_2),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))))|Y_2=X_1|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_2),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] hAPP_l82377208t_bool(set_Ar1565008694le_alt,rev_Ar2093961333le_alt(Xs))=hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs).
% 13.94/13.78 0 [] hAPP_l1821533378t_bool(set_nat,rev_nat(Xs))=hAPP_l1821533378t_bool(set_nat,Xs).
% 13.94/13.78 0 [] takeWh536362254le_alt(P_1,Xs)!=Xs| -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_4)).
% 13.94/13.78 0 [] takeWh536362254le_alt(P_1,Xs)=Xs|is_Arr1861959080le_alt($f113(P_1,Xs)).
% 13.94/13.78 0 [] takeWh536362254le_alt(P_1,Xs)=Xs|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f113(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] takeWh536362254le_alt(P_1,Xs)=Xs| -hBOOL(hAPP_A862370221t_bool(P_1,$f113(P_1,Xs))).
% 13.94/13.78 0 [] takeWhile_nat(P_1,Xs)!=Xs| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_4)).
% 13.94/13.78 0 [] takeWhile_nat(P_1,Xs)=Xs|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f114(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] takeWhile_nat(P_1,Xs)=Xs| -hBOOL(hAPP_nat_bool(P_1,$f114(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,takeWh536362254le_alt(P_1,Xs))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,takeWh536362254le_alt(P_1,Xs))))|hBOOL(hAPP_A862370221t_bool(P_1,X_1)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,takeWhile_nat(P_1,Xs))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,takeWhile_nat(P_1,Xs))))|hBOOL(hAPP_nat_bool(P_1,X_1)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(Xs))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(Xs))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Aa),Xs)!=nil_nat.
% 13.94/13.78 0 [] hAPP_l82377208t_bool(set_Ar1565008694le_alt,rotate1322903650le_alt(Xs))=hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs).
% 13.94/13.78 0 [] hAPP_l1821533378t_bool(set_nat,rotate1_nat(Xs))=hAPP_l1821533378t_bool(set_nat,Xs).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_1),Xs)=Xs.
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_1),Xs)=Xs.
% 13.94/13.78 0 [] member345038890le_alt=set_Ar1565008694le_alt.
% 13.94/13.78 0 [] member_nat_1=set_nat.
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))|is_Arr1861959080le_alt($f115(P_1,Xs)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f115(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))|hBOOL(hAPP_A862370221t_bool(P_1,$f115(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))| -is_Arr1861959080le_alt(Y_25)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Y_25),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,Y_25))|Y_25=$f115(P_1,Xs).
% 13.94/13.78 0 [] hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))| -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f116(P_1,Xs,X_4)).
% 13.94/13.78 0 [] hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))| -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f116(P_1,Xs,X_4)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))| -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f116(P_1,Xs,X_4))).
% 13.94/13.78 0 [] hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs))| -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|$f116(P_1,Xs,X_4)!=X_4.
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f117(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs))|hBOOL(hAPP_nat_bool(P_1,$f117(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_25),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,Y_25))|Y_25=$f117(P_1,Xs).
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f118(P_1,Xs,X_4)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f118(P_1,Xs,X_4))).
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|$f118(P_1,Xs,X_4)!=X_4.
% 13.94/13.78 0 [] -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),X_1))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),X_1))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),X_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_1),Xs))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(X_1),Xs))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(X_1),Xs))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(listMem_nat(X_1),Xs))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),X_1)).
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,Xs),X_1)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),X_1)).
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,Xs),X_1)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|dropWhile_bool(cOMBB_bool_bool_bool(fNot,hAPP_b589554111l_bool(cOMBC_bool_bool_bool(fe_qual_bool),X_1)),rev_bool(Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),rev_bool(takeWhile_bool(cOMBB_bool_bool_bool(fNot,hAPP_b589554111l_bool(cOMBC_bool_bool_bool(fe_qual_bool),X_1)),Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|dropWh156852662le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),X_1)),rev_Ar2093961333le_alt(Xs))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),rev_Ar2093961333le_alt(takeWh536362254le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),X_1)),Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|dropWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),rev_nat(Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),rev_nat(takeWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|takeWh536362254le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),X_1)),rev_Ar2093961333le_alt(Xs))=rev_Ar2093961333le_alt(tl_Arr1453005548le_alt(dropWh156852662le_alt(cOMBB_2104979073le_alt(fNot,hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(fe_qual1160105444le_alt),X_1)),Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|takeWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),rev_nat(Xs))=rev_nat(tl_nat(dropWhile_nat(cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),Xs))).
% 13.94/13.78 0 [] sublis888024346le_alt(nil_Ar126264853le_alt,A)=nil_Ar126264853le_alt.
% 13.94/13.78 0 [] sublist_nat(nil_nat,A)=nil_nat.
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,sublis888024346le_alt(Xs,I_11))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|hBOOL(hAPP_list_nat_bool(distinct_nat,sublist_nat(Xs,I_11))).
% 13.94/13.78 0 [] rotate1_bool(Xs)=list_c1750880501l_bool(nil_bool,cOMBB_1663860504l_bool(cOMBC_1789016513t_bool(append_bool),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),nil_bool)),Xs).
% 13.94/13.78 0 [] rotate1322903650le_alt(Xs)=list_c380068407le_alt(nil_Ar126264853le_alt,cOMBB_881934114le_alt(cOMBC_1058495865le_alt(append1166636842le_alt),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt)),Xs).
% 13.94/13.78 0 [] rotate1_nat(Xs)=list_c554461815at_nat(nil_nat,cOMBB_472649634at_nat(cOMBC_950362600st_nat(append_nat),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat)),Xs).
% 13.94/13.78 0 [] -hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),zero_zero_nat))|hBOOL(X_1).
% 13.94/13.78 0 [] hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),zero_zero_nat))| -hBOOL(X_1).
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(X_97)|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_97),Xs_53)),zero_zero_nat)=X_97.
% 13.94/13.78 0 [] hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_97),Xs_53)),zero_zero_nat)=X_97.
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(hAPP_list_bool_bool(distinct_bool,Xs)).
% 13.94/13.78 0 [] hBOOL(hAPP_list_bool_bool(distinct_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_list_bool_bool(distinct_bool,Xs)).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs)).
% 13.94/13.78 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs)).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))|hBOOL(hAPP_list_nat_bool(distinct_nat,Xs)).
% 13.94/13.78 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs)).
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2))))|X_1=Y_2.
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2))))|N_1!=zero_zero_nat.
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(X_1)| -is_Arr1861959080le_alt(Y_2)|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Y_2))))|X_1!=Y_2|N_1=zero_zero_nat.
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Y_2))))|X_1=Y_2.
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Y_2))))|N_1!=zero_zero_nat.
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Y_2))))|X_1!=Y_2|N_1=zero_zero_nat.
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Aa))))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,Aa)).
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Aa))))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|N_1!=zero_zero_nat.
% 13.94/13.78 0 [] is_Arr1861959080le_alt($f119(P_1,N_1,Aa))| -hBOOL(hAPP_A862370221t_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f119(P_1,N_1,Aa)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Aa))))| -hBOOL(hAPP_A862370221t_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] hBOOL(hAPP_A862370221t_bool(P_1,$f119(P_1,N_1,Aa)))| -hBOOL(hAPP_A862370221t_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Aa))))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,Aa)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Aa))))| -hBOOL(hAPP_nat_bool(P_1,X_4))|N_1!=zero_zero_nat.
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f120(P_1,N_1,Aa)),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Aa))))| -hBOOL(hAPP_nat_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] hBOOL(hAPP_nat_bool(P_1,$f120(P_1,N_1,Aa)))| -hBOOL(hAPP_nat_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] is_Arr1861959080le_alt($f121(P_1,N_1,Aa))|hBOOL(hAPP_A862370221t_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f121(P_1,N_1,Aa)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Aa))))|hBOOL(hAPP_A862370221t_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,$f121(P_1,N_1,Aa)))|hBOOL(hAPP_A862370221t_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Aa))))|hBOOL(hAPP_A862370221t_bool(P_1,X_4))| -hBOOL(hAPP_A862370221t_bool(P_1,Aa)).
% 13.94/13.78 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_1),Aa))))|hBOOL(hAPP_A862370221t_bool(P_1,X_4))|N_1!=zero_zero_nat.
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f122(P_1,N_1,Aa)),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Aa))))|hBOOL(hAPP_nat_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] -hBOOL(hAPP_nat_bool(P_1,$f122(P_1,N_1,Aa)))|hBOOL(hAPP_nat_bool(P_1,Aa))|N_1=zero_zero_nat.
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Aa))))|hBOOL(hAPP_nat_bool(P_1,X_4))| -hBOOL(hAPP_nat_bool(P_1,Aa)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(N_1),Aa))))|hBOOL(hAPP_nat_bool(P_1,X_4))|N_1!=zero_zero_nat.
% 13.94/13.78 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))| -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Ys))| -hBOOL(hAPP_list_nat_bool(distinct_nat,Ys))|hAPP_l1821533378t_bool(set_nat,Xs)!=hAPP_l1821533378t_bool(set_nat,Ys)|Xs=Ys.
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_1))|takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=takeWh536362254le_alt(P_1,Xs).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_1))|takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=takeWhile_nat(P_1,Xs).
% 13.94/13.78 0 [] As=nil_Ar126264853le_alt|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,hAPP_l1105242632le_alt(last_A57386030le_alt,As)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,As))).
% 13.94/13.78 0 [] As=nil_nat|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_list_nat_nat(last_nat,As)),hAPP_l1821533378t_bool(set_nat,As))).
% 13.94/13.78 0 [] dropWh156852662le_alt(P_1,Xs)!=nil_Ar126264853le_alt| -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_4)).
% 13.94/13.78 0 [] dropWh156852662le_alt(P_1,Xs)=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f123(P_1,Xs)).
% 13.94/13.78 0 [] dropWh156852662le_alt(P_1,Xs)=nil_Ar126264853le_alt|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f123(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] dropWh156852662le_alt(P_1,Xs)=nil_Ar126264853le_alt| -hBOOL(hAPP_A862370221t_bool(P_1,$f123(P_1,Xs))).
% 13.94/13.78 0 [] dropWhile_nat(P_1,Xs)!=nil_nat| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_4)).
% 13.94/13.78 0 [] dropWhile_nat(P_1,Xs)=nil_nat|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f124(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] dropWhile_nat(P_1,Xs)=nil_nat| -hBOOL(hAPP_nat_bool(P_1,$f124(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(Xs))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(Ys))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(Xs))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(Ys))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))))).
% 13.94/13.78 0 [] Xs=nil_Ar126264853le_alt|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.78 0 [] Xs=nil_nat|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_list_nat_nat(hd_nat,Xs)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_1))|dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,dropWh156852662le_alt(P_1,Xs)),Ys).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_1))|dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,dropWhile_nat(P_1,Xs)),Ys).
% 13.94/13.78 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,X_1),Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs).
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,X_1),Xs)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs).
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,X_1),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs).
% 13.94/13.78 0 [] is_Arr1861959080le_alt($f125(Ys,P_1,Xs))|dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=dropWh156852662le_alt(P_1,Ys).
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f125(Ys,P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=dropWh156852662le_alt(P_1,Ys).
% 13.94/13.78 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,$f125(Ys,P_1,Xs)))|dropWh156852662le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=dropWh156852662le_alt(P_1,Ys).
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f126(Ys,P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=dropWhile_nat(P_1,Ys).
% 13.94/13.78 0 [] -hBOOL(hAPP_nat_bool(P_1,$f126(Ys,P_1,Xs)))|dropWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=dropWhile_nat(P_1,Ys).
% 13.94/13.78 0 [] is_Arr1861959080le_alt($f127(Ys,P_1,Xs))|takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),takeWh536362254le_alt(P_1,Ys)).
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f127(Ys,P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),takeWh536362254le_alt(P_1,Ys)).
% 13.94/13.78 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,$f127(Ys,P_1,Xs)))|takeWh536362254le_alt(P_1,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),takeWh536362254le_alt(P_1,Ys)).
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f128(Ys,P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),takeWhile_nat(P_1,Ys)).
% 13.94/13.78 0 [] -hBOOL(hAPP_nat_bool(P_1,$f128(Ys,P_1,Xs)))|takeWhile_nat(P_1,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),takeWhile_nat(P_1,Ys)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f130(X_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f129(X_1,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f132(X_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f131(X_1,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f134(X_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f133(X_1,Xs))).
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f136(X_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f135(X_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,$f135(X_1,Xs)))).
% 13.94/13.78 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Zs_2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f138(X_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f137(X_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f137(X_1,Xs)))).
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f140(X_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f139(X_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,$f139(X_1,Xs)))).
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Zs_2))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f142(X_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f141(X_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,$f142(X_1,Xs)))).
% 13.94/13.78 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Zs_2))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Ys_6))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f144(X_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f143(X_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f144(X_1,Xs)))).
% 13.94/13.78 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Zs_2))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f146(X_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f145(X_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,$f146(X_1,Xs)))).
% 13.94/13.78 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Zs_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Ys_6))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|is_bool($f148(P_1,Xs)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f149(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f148(P_1,Xs)),$f147(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_bool_bool(P_1,$f148(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f151(P_1,Xs)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f152(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f151(P_1,Xs)),$f150(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f151(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f155(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f154(P_1,Xs)),$f153(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f154(P_1,Xs))).
% 13.94/13.78 0 [] L_2!=K_3|is_Arr1861959080le_alt($f156(Q_1,P_1,L_2,K_3))|dropWh156852662le_alt(P_1,L_2)=dropWh156852662le_alt(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f156(Q_1,P_1,L_2,K_3)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,L_2)))|dropWh156852662le_alt(P_1,L_2)=dropWh156852662le_alt(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|hBOOL(hAPP_A862370221t_bool(P_1,$f156(Q_1,P_1,L_2,K_3)))|hBOOL(hAPP_A862370221t_bool(Q_1,$f156(Q_1,P_1,L_2,K_3)))|dropWh156852662le_alt(P_1,L_2)=dropWh156852662le_alt(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3| -hBOOL(hAPP_A862370221t_bool(P_1,$f156(Q_1,P_1,L_2,K_3)))| -hBOOL(hAPP_A862370221t_bool(Q_1,$f156(Q_1,P_1,L_2,K_3)))|dropWh156852662le_alt(P_1,L_2)=dropWh156852662le_alt(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f157(Q_1,P_1,L_2,K_3)),hAPP_l1821533378t_bool(set_nat,L_2)))|dropWhile_nat(P_1,L_2)=dropWhile_nat(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|hBOOL(hAPP_nat_bool(P_1,$f157(Q_1,P_1,L_2,K_3)))|hBOOL(hAPP_nat_bool(Q_1,$f157(Q_1,P_1,L_2,K_3)))|dropWhile_nat(P_1,L_2)=dropWhile_nat(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3| -hBOOL(hAPP_nat_bool(P_1,$f157(Q_1,P_1,L_2,K_3)))| -hBOOL(hAPP_nat_bool(Q_1,$f157(Q_1,P_1,L_2,K_3)))|dropWhile_nat(P_1,L_2)=dropWhile_nat(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|is_Arr1861959080le_alt($f158(Q_1,P_1,L_2,K_3))|takeWh536362254le_alt(P_1,L_2)=takeWh536362254le_alt(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f158(Q_1,P_1,L_2,K_3)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,L_2)))|takeWh536362254le_alt(P_1,L_2)=takeWh536362254le_alt(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|hBOOL(hAPP_A862370221t_bool(P_1,$f158(Q_1,P_1,L_2,K_3)))|hBOOL(hAPP_A862370221t_bool(Q_1,$f158(Q_1,P_1,L_2,K_3)))|takeWh536362254le_alt(P_1,L_2)=takeWh536362254le_alt(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3| -hBOOL(hAPP_A862370221t_bool(P_1,$f158(Q_1,P_1,L_2,K_3)))| -hBOOL(hAPP_A862370221t_bool(Q_1,$f158(Q_1,P_1,L_2,K_3)))|takeWh536362254le_alt(P_1,L_2)=takeWh536362254le_alt(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f159(Q_1,P_1,L_2,K_3)),hAPP_l1821533378t_bool(set_nat,L_2)))|takeWhile_nat(P_1,L_2)=takeWhile_nat(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3|hBOOL(hAPP_nat_bool(P_1,$f159(Q_1,P_1,L_2,K_3)))|hBOOL(hAPP_nat_bool(Q_1,$f159(Q_1,P_1,L_2,K_3)))|takeWhile_nat(P_1,L_2)=takeWhile_nat(Q_1,K_3).
% 13.94/13.78 0 [] L_2!=K_3| -hBOOL(hAPP_nat_bool(P_1,$f159(Q_1,P_1,L_2,K_3)))| -hBOOL(hAPP_nat_bool(Q_1,$f159(Q_1,P_1,L_2,K_3)))|takeWhile_nat(P_1,L_2)=takeWhile_nat(Q_1,K_3).
% 13.94/13.78 0 [] map_fi80499576t_bool(F,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=option718651152l_bool(map_fi80499576t_bool(F,Xs),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),map_fi80499576t_bool(F,Xs)),hAPP_A524667246n_bool(F,X_1)).
% 13.94/13.78 0 [] map_fi2015041583lt_nat(F,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=option306705938at_nat(map_fi2015041583lt_nat(F,Xs),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_fi2015041583lt_nat(F,Xs)),hAPP_A1356081999on_nat(F,X_1)).
% 13.94/13.78 0 [] map_fi695734538le_alt(F,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=option468438226le_alt(map_fi695734538le_alt(F,Xs),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi695734538le_alt(F,Xs)),hAPP_A373227306le_alt(F,X_1)).
% 13.94/13.78 0 [] map_filter_nat_bool(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=option718651152l_bool(map_filter_nat_bool(F,Xs),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),map_filter_nat_bool(F,Xs)),hAPP_nat_option_bool(F,X_1)).
% 13.94/13.78 0 [] map_filter_nat_nat(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=option306705938at_nat(map_filter_nat_nat(F,Xs),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_filter_nat_nat(F,Xs)),hAPP_nat_option_nat(F,X_1)).
% 13.94/13.78 0 [] map_fi302768037le_alt(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=option468438226le_alt(map_fi302768037le_alt(F,Xs),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi302768037le_alt(F,Xs)),hAPP_n2020361039le_alt(F,X_1)).
% 13.94/13.78 0 [] map_fi1996871376le_alt(F,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=option468438226le_alt(map_fi1996871376le_alt(F,Xs),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi1996871376le_alt(F,Xs)),hAPP_b803953466le_alt(F,X_1)).
% 13.94/13.78 0 [] map_filter_bool_nat(F,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=option306705938at_nat(map_filter_bool_nat(F,Xs),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_filter_bool_nat(F,Xs)),hAPP_bool_option_nat(F,X_1)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|is_bool($f161(P_1,Xs)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f162(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f161(P_1,Xs)),$f160(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_bool_bool(P_1,$f161(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,$f162(P_1,Xs))))| -hBOOL(hAPP_bool_bool(P_1,Xa)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f164(P_1,Xs)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f165(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f164(P_1,Xs)),$f163(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f164(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f165(P_1,Xs))))| -hBOOL(hAPP_A862370221t_bool(P_1,Xa)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f168(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f167(P_1,Xs)),$f166(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f167(P_1,Xs))).
% 13.94/13.78 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,$f168(P_1,Xs))))| -hBOOL(hAPP_nat_bool(P_1,Xa)).
% 13.94/13.78 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|is_bool($f170(P_1,Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f171(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f170(P_1,Xs)),$f169(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_bool_bool(P_1,$f170(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,$f169(P_1,Xs))))| -hBOOL(hAPP_bool_bool(P_1,Xa)).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f173(P_1,Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f174(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f173(P_1,Xs)),$f172(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f173(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f172(P_1,Xs))))| -hBOOL(hAPP_A862370221t_bool(P_1,Xa)).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f177(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f176(P_1,Xs)),$f175(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f176(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,$f175(P_1,Xs))))| -hBOOL(hAPP_nat_bool(P_1,Xa)).
% 13.94/13.79 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f179(X_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f178(X_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,$f179(X_1,Xs)))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f181(X_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f180(X_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f181(X_1,Xs)))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f183(X_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f182(X_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,$f183(X_1,Xs)))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f185(X_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f184(X_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,$f184(X_1,Xs)))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f187(X_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f186(X_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f186(X_1,Xs)))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f189(X_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f188(X_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,$f188(X_1,Xs)))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f191(X_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),$f190(X_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f193(X_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),$f192(X_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f195(X_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),$f194(X_1,Xs))).
% 13.94/13.79 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|is_bool($f197(P_1,Xs)).
% 13.94/13.79 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f198(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f197(P_1,Xs)),$f196(P_1,Xs))).
% 13.94/13.79 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_bool_bool(P_1,$f197(P_1,Xs))).
% 13.94/13.79 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))| -is_bool(Xa)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,$f198(P_1,Xs))))| -hBOOL(hAPP_bool_bool(P_1,Xa)).
% 13.94/13.79 0 [] is_bool($f199(P_1,Xs))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|is_bool($f200(P_1,Xs,Ys_6,X8)).
% 13.94/13.79 0 [] is_bool($f199(P_1,Xs))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f200(P_1,Xs,Ys_6,X8)),hAPP_l96088310l_bool(set_bool,Ys_6))).
% 13.94/13.79 0 [] is_bool($f199(P_1,Xs))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|hBOOL(hAPP_bool_bool(P_1,$f200(P_1,Xs,Ys_6,X8))).
% 13.94/13.79 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f199(P_1,Xs)),hAPP_l96088310l_bool(set_bool,Xs)))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|is_bool($f200(P_1,Xs,Ys_6,X8)).
% 13.94/13.79 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f199(P_1,Xs)),hAPP_l96088310l_bool(set_bool,Xs)))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f200(P_1,Xs,Ys_6,X8)),hAPP_l96088310l_bool(set_bool,Ys_6))).
% 13.94/13.79 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f199(P_1,Xs)),hAPP_l96088310l_bool(set_bool,Xs)))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|hBOOL(hAPP_bool_bool(P_1,$f200(P_1,Xs,Ys_6,X8))).
% 13.94/13.79 0 [] hBOOL(hAPP_bool_bool(P_1,$f199(P_1,Xs)))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|is_bool($f200(P_1,Xs,Ys_6,X8)).
% 13.94/13.79 0 [] hBOOL(hAPP_bool_bool(P_1,$f199(P_1,Xs)))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f200(P_1,Xs,Ys_6,X8)),hAPP_l96088310l_bool(set_bool,Ys_6))).
% 13.94/13.79 0 [] hBOOL(hAPP_bool_bool(P_1,$f199(P_1,Xs)))| -is_bool(X8)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X8),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X8))|hBOOL(hAPP_bool_bool(P_1,$f200(P_1,Xs,Ys_6,X8))).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f202(P_1,Xs)).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f203(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f202(P_1,Xs)),$f201(P_1,Xs))).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f202(P_1,Xs))).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))| -is_Arr1861959080le_alt(Xa)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f203(P_1,Xs))))| -hBOOL(hAPP_A862370221t_bool(P_1,Xa)).
% 13.94/13.79 0 [] is_Arr1861959080le_alt($f204(P_1,Xs))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|is_Arr1861959080le_alt($f205(P_1,Xs,Ys_6,X9)).
% 13.94/13.79 0 [] is_Arr1861959080le_alt($f204(P_1,Xs))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f205(P_1,Xs,Ys_6,X9)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6))).
% 13.94/13.79 0 [] is_Arr1861959080le_alt($f204(P_1,Xs))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|hBOOL(hAPP_A862370221t_bool(P_1,$f205(P_1,Xs,Ys_6,X9))).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f204(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|is_Arr1861959080le_alt($f205(P_1,Xs,Ys_6,X9)).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f204(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f205(P_1,Xs,Ys_6,X9)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6))).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f204(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|hBOOL(hAPP_A862370221t_bool(P_1,$f205(P_1,Xs,Ys_6,X9))).
% 13.94/13.79 0 [] hBOOL(hAPP_A862370221t_bool(P_1,$f204(P_1,Xs)))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|is_Arr1861959080le_alt($f205(P_1,Xs,Ys_6,X9)).
% 13.94/13.79 0 [] hBOOL(hAPP_A862370221t_bool(P_1,$f204(P_1,Xs)))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f205(P_1,Xs,Ys_6,X9)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys_6))).
% 13.94/13.79 0 [] hBOOL(hAPP_A862370221t_bool(P_1,$f204(P_1,Xs)))| -is_Arr1861959080le_alt(X9)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X9),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X9))|hBOOL(hAPP_A862370221t_bool(P_1,$f205(P_1,Xs,Ys_6,X9))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f208(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f207(P_1,Xs)),$f206(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f207(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,$f208(P_1,Xs))))| -hBOOL(hAPP_nat_bool(P_1,Xa)).
% 13.94/13.79 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f209(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X10),Zs_2))| -hBOOL(hAPP_nat_bool(P_1,X10))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f210(P_1,Xs,Ys_6,X10)),hAPP_l1821533378t_bool(set_nat,Ys_6))).
% 13.94/13.79 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f209(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X10),Zs_2))| -hBOOL(hAPP_nat_bool(P_1,X10))|hBOOL(hAPP_nat_bool(P_1,$f210(P_1,Xs,Ys_6,X10))).
% 13.94/13.79 0 [] hBOOL(hAPP_nat_bool(P_1,$f209(P_1,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X10),Zs_2))| -hBOOL(hAPP_nat_bool(P_1,X10))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f210(P_1,Xs,Ys_6,X10)),hAPP_l1821533378t_bool(set_nat,Ys_6))).
% 13.94/13.79 0 [] hBOOL(hAPP_nat_bool(P_1,$f209(P_1,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X10),Zs_2))| -hBOOL(hAPP_nat_bool(P_1,X10))|hBOOL(hAPP_nat_bool(P_1,$f210(P_1,Xs,Ys_6,X10))).
% 13.94/13.79 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|is_bool($f212(P_1,Xs)).
% 13.94/13.79 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f213(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f212(P_1,Xs)),$f211(P_1,Xs))).
% 13.94/13.79 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_bool_bool(P_1,$f212(P_1,Xs))).
% 13.94/13.79 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))| -is_bool(Xa)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,$f211(P_1,Xs))))| -hBOOL(hAPP_bool_bool(P_1,Xa)).
% 13.94/13.79 0 [] is_bool($f214(P_1,Xs))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|is_bool($f215(P_1,Xs,Ys_6,X11,Zs_2)).
% 13.94/13.79 0 [] is_bool($f214(P_1,Xs))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f215(P_1,Xs,Ys_6,X11,Zs_2)),hAPP_l96088310l_bool(set_bool,Zs_2))).
% 13.94/13.79 0 [] is_bool($f214(P_1,Xs))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|hBOOL(hAPP_bool_bool(P_1,$f215(P_1,Xs,Ys_6,X11,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f214(P_1,Xs)),hAPP_l96088310l_bool(set_bool,Xs)))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|is_bool($f215(P_1,Xs,Ys_6,X11,Zs_2)).
% 13.94/13.79 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f214(P_1,Xs)),hAPP_l96088310l_bool(set_bool,Xs)))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f215(P_1,Xs,Ys_6,X11,Zs_2)),hAPP_l96088310l_bool(set_bool,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f214(P_1,Xs)),hAPP_l96088310l_bool(set_bool,Xs)))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|hBOOL(hAPP_bool_bool(P_1,$f215(P_1,Xs,Ys_6,X11,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_bool_bool(P_1,$f214(P_1,Xs)))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|is_bool($f215(P_1,Xs,Ys_6,X11,Zs_2)).
% 13.94/13.79 0 [] hBOOL(hAPP_bool_bool(P_1,$f214(P_1,Xs)))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f215(P_1,Xs,Ys_6,X11,Zs_2)),hAPP_l96088310l_bool(set_bool,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_bool_bool(P_1,$f214(P_1,Xs)))| -is_bool(X11)|Xs!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Ys_6),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X11),Zs_2))| -hBOOL(hAPP_bool_bool(P_1,X11))|hBOOL(hAPP_bool_bool(P_1,$f215(P_1,Xs,Ys_6,X11,Zs_2))).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f217(P_1,Xs)).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f218(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f217(P_1,Xs)),$f216(P_1,Xs))).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f217(P_1,Xs))).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))| -is_Arr1861959080le_alt(Xa)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f216(P_1,Xs))))| -hBOOL(hAPP_A862370221t_bool(P_1,Xa)).
% 13.94/13.79 0 [] is_Arr1861959080le_alt($f219(P_1,Xs))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|is_Arr1861959080le_alt($f220(P_1,Xs,Ys_6,X12,Zs_2)).
% 13.94/13.79 0 [] is_Arr1861959080le_alt($f219(P_1,Xs))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f220(P_1,Xs,Ys_6,X12,Zs_2)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2))).
% 13.94/13.79 0 [] is_Arr1861959080le_alt($f219(P_1,Xs))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|hBOOL(hAPP_A862370221t_bool(P_1,$f220(P_1,Xs,Ys_6,X12,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f219(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|is_Arr1861959080le_alt($f220(P_1,Xs,Ys_6,X12,Zs_2)).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f219(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f220(P_1,Xs,Ys_6,X12,Zs_2)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f219(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|hBOOL(hAPP_A862370221t_bool(P_1,$f220(P_1,Xs,Ys_6,X12,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_A862370221t_bool(P_1,$f219(P_1,Xs)))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|is_Arr1861959080le_alt($f220(P_1,Xs,Ys_6,X12,Zs_2)).
% 13.94/13.79 0 [] hBOOL(hAPP_A862370221t_bool(P_1,$f219(P_1,Xs)))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f220(P_1,Xs,Ys_6,X12,Zs_2)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_A862370221t_bool(P_1,$f219(P_1,Xs)))| -is_Arr1861959080le_alt(X12)|Xs!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Ys_6),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X12),Zs_2))| -hBOOL(hAPP_A862370221t_bool(P_1,X12))|hBOOL(hAPP_A862370221t_bool(P_1,$f220(P_1,Xs,Ys_6,X12,Zs_2))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f223(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f222(P_1,Xs)),$f221(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f222(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,$f221(P_1,Xs))))| -hBOOL(hAPP_nat_bool(P_1,Xa)).
% 13.94/13.79 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f224(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X13),Zs_2))| -hBOOL(hAPP_nat_bool(P_1,X13))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f225(P_1,Xs,Ys_6,X13,Zs_2)),hAPP_l1821533378t_bool(set_nat,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f224(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X13),Zs_2))| -hBOOL(hAPP_nat_bool(P_1,X13))|hBOOL(hAPP_nat_bool(P_1,$f225(P_1,Xs,Ys_6,X13,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_nat_bool(P_1,$f224(P_1,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X13),Zs_2))| -hBOOL(hAPP_nat_bool(P_1,X13))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f225(P_1,Xs,Ys_6,X13,Zs_2)),hAPP_l1821533378t_bool(set_nat,Zs_2))).
% 13.94/13.79 0 [] hBOOL(hAPP_nat_bool(P_1,$f224(P_1,Xs)))|Xs!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Ys_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X13),Zs_2))| -hBOOL(hAPP_nat_bool(P_1,X13))|hBOOL(hAPP_nat_bool(P_1,$f225(P_1,Xs,Ys_6,X13,Zs_2))).
% 13.94/13.79 0 [] sublist_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),L_2),A)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,if_list_bool(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),nil_bool),nil_bool)),sublist_bool(L_2,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),A)))).
% 13.94/13.79 0 [] sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),L_2),A)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,if_lis1340954026le_alt(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),nil_Ar126264853le_alt),nil_Ar126264853le_alt)),sublis888024346le_alt(L_2,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),A)))).
% 13.94/13.79 0 [] sublist_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),L_2),A)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,if_list_nat(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),nil_nat),nil_nat)),sublist_nat(L_2,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),A)))).
% 13.94/13.79 0 [] -hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1)).
% 13.94/13.79 0 [] hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),hAPP_nat_nat(suc,N_1)))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1)).
% 13.94/13.79 0 [] hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_96),Xs_52)),hAPP_nat_nat(suc,N_39))=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_52),N_39).
% 13.94/13.79 0 [] hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_96),Xs_52)),hAPP_nat_nat(suc,N_39))=hAPP_nat_nat(nth_nat(Xs_52),N_39).
% 13.94/13.79 0 [] hAPP_bool_list_bool(replicate_bool(hAPP_nat_nat(suc,N_1)),X_1)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_bool_list_bool(replicate_bool(N_1),X_1)).
% 13.94/13.79 0 [] hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(suc,N_38)),X_95)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_95),hAPP_A832564074le_alt(replic351609551le_alt(N_38),X_95)).
% 13.94/13.79 0 [] hAPP_nat_list_nat(replicate_nat(hAPP_nat_nat(suc,N_38)),X_95)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_95),hAPP_nat_list_nat(replicate_nat(N_38),X_95)).
% 13.94/13.79 0 [] hAPP_nat_nat(suc,M)!=zero_zero_nat.
% 13.94/13.79 0 [] zero_zero_nat!=hAPP_nat_nat(suc,M).
% 13.94/13.79 0 [] hAPP_nat_nat(suc,Nat_5)!=zero_zero_nat.
% 13.94/13.79 0 [] hAPP_nat_nat(suc,M)!=zero_zero_nat.
% 13.94/13.79 0 [] zero_zero_nat!=hAPP_nat_nat(suc,Nat_4).
% 13.94/13.79 0 [] zero_zero_nat!=hAPP_nat_nat(suc,M).
% 13.94/13.79 0 [] hAPP_nat_list_nat(nth_list_nat(hAPP_l1734754389st_nat(hAPP_l1872445307st_nat(cons_list_nat,X_1),Xs)),N_1)=hAPP_nat_list_nat(nat_case_list_nat(X_1,nth_list_nat(Xs)),N_1).
% 13.94/13.79 0 [] hAPP_n1875670159le_alt(nth_li2119471145le_alt(hAPP_l1891879573le_alt(hAPP_l656323104le_alt(cons_l650111674le_alt,X_1),Xs)),N_1)=hAPP_n1875670159le_alt(nat_ca14895078le_alt(X_1,nth_li2119471145le_alt(Xs)),N_1).
% 13.94/13.79 0 [] -hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),N_1))|hBOOL(hAPP_nat_bool(nat_case_bool(X_1,nth_bool(Xs)),N_1)).
% 13.94/13.79 0 [] hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)),N_1))| -hBOOL(hAPP_nat_bool(nat_case_bool(X_1,nth_bool(Xs)),N_1)).
% 13.94/13.79 0 [] hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)),N_1)=hAPP_n401316912le_alt(nat_ca391302041le_alt(X_1,nth_Ar1113433366le_alt(Xs)),N_1).
% 13.94/13.79 0 [] hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)),N_1)=hAPP_nat_nat(nat_case_nat(X_1,nth_nat(Xs)),N_1).
% 13.94/13.79 0 [] hAPP_nat_list_nat(nat_case_list_nat(F1,F2),zero_zero_nat)=F1.
% 13.94/13.79 0 [] hAPP_n1875670159le_alt(nat_ca14895078le_alt(F1,F2),zero_zero_nat)=F1.
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(F1)|hAPP_n401316912le_alt(nat_ca391302041le_alt(F1,F2),zero_zero_nat)=F1.
% 13.94/13.79 0 [] hAPP_nat_nat(nat_case_nat(F1,F2),zero_zero_nat)=F1.
% 13.94/13.79 0 [] -hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),zero_zero_nat))|hBOOL(F1).
% 13.94/13.79 0 [] hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),zero_zero_nat))| -hBOOL(F1).
% 13.94/13.79 0 [] hAPP_nat_list_nat(nat_case_list_nat(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_nat_list_nat(F2,Nat_3).
% 13.94/13.79 0 [] hAPP_n1875670159le_alt(nat_ca14895078le_alt(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_n1875670159le_alt(F2,Nat_3).
% 13.94/13.79 0 [] hAPP_n401316912le_alt(nat_ca391302041le_alt(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_n401316912le_alt(F2,Nat_3).
% 13.94/13.79 0 [] hAPP_nat_nat(nat_case_nat(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_nat_nat(F2,Nat_3).
% 13.94/13.79 0 [] -hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),hAPP_nat_nat(suc,Nat_3)))|hBOOL(hAPP_nat_bool(F2,Nat_3)).
% 13.94/13.79 0 [] hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),hAPP_nat_nat(suc,Nat_3)))| -hBOOL(hAPP_nat_bool(F2,Nat_3)).
% 13.94/13.79 0 [] N!=hAPP_nat_nat(suc,N).
% 13.94/13.79 0 [] hAPP_nat_nat(suc,N)!=N.
% 13.94/13.79 0 [] hAPP_nat_nat(suc,Nat_3)!=hAPP_nat_nat(suc,Nat_2)|Nat_3=Nat_2.
% 13.94/13.79 0 [] hAPP_nat_nat(suc,Nat_3)=hAPP_nat_nat(suc,Nat_2)|Nat_3!=Nat_2.
% 13.94/13.79 0 [] hAPP_nat_nat(suc,X)!=hAPP_nat_nat(suc,Y)|X=Y.
% 13.94/13.79 0 [] N=zero_zero_nat|N=hAPP_nat_nat(suc,$f226(N)).
% 13.94/13.79 0 [] -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|hBOOL(hAPP_nat_bool(P_1,$f227(N_1,P_1)))|hBOOL(hAPP_nat_bool(P_1,N_1)).
% 13.94/13.79 0 [] -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f227(N_1,P_1))))|hBOOL(hAPP_nat_bool(P_1,N_1)).
% 13.94/13.79 0 [] -hBOOL(hAPP_nat_bool(P_1,K_3))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f228(P_1,K_3))))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 13.94/13.79 0 [] -hBOOL(hAPP_nat_bool(P_1,K_3))| -hBOOL(hAPP_nat_bool(P_1,$f228(P_1,K_3)))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 13.94/13.79 0 [] Y=zero_zero_nat|Y=hAPP_nat_nat(suc,$f229(Y)).
% 13.94/13.79 0 [] Xs=nil_bool|hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,N_1)),Xs)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_list_bool_bool(hd_bool,Xs)),hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),tl_bool(Xs))).
% 13.94/13.79 0 [] Xs_51=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,N_37)),Xs_51)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,Xs_51)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_37),tl_Arr1453005548le_alt(Xs_51))).
% 13.94/13.79 0 [] Xs_51=nil_nat|hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,N_37)),Xs_51)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_list_nat_nat(hd_nat,Xs_51)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_37),tl_nat(Xs_51))).
% 13.94/13.79 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord297828738at_nat(cOMBI_nat),X_1),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_1))|hBOOL(hAPP_list_bool_bool(list_all_bool(cOMBS_bool_bool_bool(cOMBB_1914122979l_bool(fdisj,cOMBB_bool_bool_bool(fNot,P_1)),hAPP_b589554111l_bool(fe_qual_bool,X_1))),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(hAPP_bool_bool(P_1,X_1))|hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(hAPP_bool_bool(P_1,X_1))| -hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(hAPP_list_bool_bool(list_all_bool(cOMBS_bool_bool_bool(cOMBB_1914122979l_bool(fdisj,cOMBB_bool_bool_bool(fNot,P_1)),hAPP_b589554111l_bool(fe_qual_bool,X_1))),Xs))| -hBOOL(hAPP_bool_bool(P_1,X_1)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(hAPP_list_bool_bool(list_all_bool(cOMBS_bool_bool_bool(cOMBB_1914122979l_bool(fdisj,cOMBB_bool_bool_bool(fNot,P_1)),hAPP_b589554111l_bool(fe_qual_bool,X_1))),Xs))| -hBOOL(hAPP_list_bool_bool(list_ex1_bool(P_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_1))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(cOMBS_1393264256l_bool(cOMBB_803794783le_alt(fdisj,cOMBB_2104979073le_alt(fNot,P_1)),hAPP_A1664620203t_bool(fe_qual1160105444le_alt,X_1))),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_1))|hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_1))| -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(cOMBS_1393264256l_bool(cOMBB_803794783le_alt(fdisj,cOMBB_2104979073le_alt(fNot,P_1)),hAPP_A1664620203t_bool(fe_qual1160105444le_alt,X_1))),Xs))| -hBOOL(hAPP_A862370221t_bool(P_1,X_1)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(cOMBS_1393264256l_bool(cOMBB_803794783le_alt(fdisj,cOMBB_2104979073le_alt(fNot,P_1)),hAPP_A1664620203t_bool(fe_qual1160105444le_alt,X_1))),Xs))| -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(P_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_1))|hBOOL(hAPP_list_nat_bool(list_all_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,cOMBB_bool_bool_nat(fNot,P_1)),hAPP_n1699378549t_bool(fe_qual_nat,X_1))),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))|hBOOL(hAPP_nat_bool(P_1,X_1))|hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))|hBOOL(hAPP_nat_bool(P_1,X_1))| -hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))| -hBOOL(hAPP_list_nat_bool(list_all_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,cOMBB_bool_bool_nat(fNot,P_1)),hAPP_n1699378549t_bool(fe_qual_nat,X_1))),Xs))| -hBOOL(hAPP_nat_bool(P_1,X_1)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))| -hBOOL(hAPP_list_nat_bool(list_all_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,cOMBB_bool_bool_nat(fNot,P_1)),hAPP_n1699378549t_bool(fe_qual_nat,X_1))),Xs))| -hBOOL(hAPP_list_nat_bool(list_ex1_nat(P_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Aa),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),Aa),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Aa),Xs))=Xs.
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_94),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Y_64),Zs_3))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Y_64),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_94),Zs_3)).
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_94),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Y_64),Zs_3))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Y_64),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_94),Zs_3)).
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_36),nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_36),nil_nat)=nil_nat.
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_50))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,I_12),Xs_50))).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_50))|hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,I_12),Xs_50))).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_49))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_35),Xs_49))).
% 13.94/13.79 0 [] hBOOL(X_1)|hBOOL(Y_2)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Xs))=Xs.
% 13.94/13.79 0 [] -hBOOL(X_1)| -hBOOL(Y_2)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Xs))=Xs.
% 13.94/13.79 0 [] hBOOL(X_1)| -hBOOL(Y_2)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(X_1)|hBOOL(Y_2)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(remove1_bool,X_1),Xs)).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_93)| -is_Arr1861959080le_alt(Y_63)|X_93!=Y_63|hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_93),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_63),Xs_48))=Xs_48.
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(X_93)| -is_Arr1861959080le_alt(Y_63)|X_93=Y_63|hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_93),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_63),Xs_48))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_63),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_93),Xs_48)).
% 13.94/13.79 0 [] X_93!=Y_63|hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_93),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_63),Xs_48))=Xs_48.
% 13.94/13.79 0 [] X_93=Y_63|hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_93),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_63),Xs_48))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_63),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_93),Xs_48)).
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_92),nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_92),nil_nat)=nil_nat.
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(Aa)| -is_Arr1861959080le_alt(Ba)|Aa=Ba| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Aa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Ba),Xs))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Aa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.79 0 [] -is_Arr1861959080le_alt(Aa)| -is_Arr1861959080le_alt(Ba)|Aa=Ba|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Aa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Ba),Xs))))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Aa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.79 0 [] Aa=Ba| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Aa),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Ba),Xs))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Aa),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.79 0 [] Aa=Ba|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Aa),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Ba),Xs))))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Aa),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,Y_2),Xs)))).
% 13.94/13.79 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,Y_2),Xs)))).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),Xs)=Xs.
% 13.94/13.79 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),Xs)=Xs.
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_47))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_91),Xs_47))).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_47))|hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_91),Xs_47))).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_46))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,A_83),Xs_46))).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(hAPP_bool_bool(P_1,X_1)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))|hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_1))| -hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_1)).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_1))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))|hBOOL(hAPP_nat_bool(P_1,X_1)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))|hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_1))| -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),nil_Ar126264853le_alt)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),nil_nat)).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))| -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_4)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))|is_Arr1861959080le_alt($f230(P_1,Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f230(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))| -hBOOL(hAPP_A862370221t_bool(P_1,$f230(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_4)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f231(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))| -hBOOL(hAPP_nat_bool(P_1,$f231(P_1,Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Ys)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Ys)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))|hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))|hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Ys)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))| -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))| -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Ys)).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),rev_nat(Xs)))|hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),rev_nat(Xs)))| -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs)).
% 13.94/13.79 0 [] -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),rev_Ar2093961333le_alt(Xs)))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs)).
% 13.94/13.79 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),rev_Ar2093961333le_alt(Xs)))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs)).
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,zero_zero_nat),Xs_45)=nil_Ar126264853le_alt.
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,zero_zero_nat),Xs_45)=nil_nat.
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs)!=nil_Ar126264853le_alt|N_1=zero_zero_nat|Xs=nil_Ar126264853le_alt.
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs)=nil_Ar126264853le_alt|N_1!=zero_zero_nat.
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs)=nil_Ar126264853le_alt|Xs!=nil_Ar126264853le_alt.
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs)!=nil_nat|N_1=zero_zero_nat|Xs=nil_nat.
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs)=nil_nat|N_1!=zero_zero_nat.
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs)=nil_nat|Xs!=nil_nat.
% 13.94/13.79 0 [] hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,N_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs)).
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,N_34)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_90),Xs_44))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_90),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_34),Xs_44)).
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,N_34)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_90),Xs_44))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_90),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_34),Xs_44)).
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),X_1),Xs))=Xs.
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_33),tl_Arr1453005548le_alt(Xs_43))=tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,N_33)),Xs_43)).
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_33),tl_nat(Xs_43))=tl_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,N_33)),Xs_43)).
% 13.94/13.79 0 [] hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_nat_list_bool(nat_case_list_bool(nil_bool,cOMBB_1891801486ol_nat(hAPP_b994696797t_bool(cons_bool,X_1),hAPP_l1656175496t_bool(cOMBC_1038295629t_bool(take_bool),Xs))),N_1).
% 13.94/13.79 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs))=hAPP_n1875670159le_alt(nat_ca14895078le_alt(nil_Ar126264853le_alt,cOMBB_903467948lt_nat(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),hAPP_l382792410le_alt(cOMBC_1511969967le_alt(take_A1601602045le_alt),Xs))),N_1).
% 13.94/13.79 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_nat_list_nat(nat_case_list_nat(nil_nat,cOMBB_850496866at_nat(hAPP_n280362926st_nat(cons_nat,X_1),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(take_nat),Xs))),N_1).
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord297828738at_nat(F),X_1),Xs))).
% 13.94/13.79 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),Xs)),Ys).
% 13.94/13.79 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),Ys)).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),Xs)),Ys).
% 13.94/13.79 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),Ys)).
% 13.94/13.79 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord297828738at_nat(cOMBI_nat),X_1),Xs)=Xs.
% 13.94/13.79 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord297828738at_nat(cOMBI_nat),X_1),Xs))).
% 13.94/13.79 0 [] Xs!=Ys|is_Arr1861959080le_alt($f232(G,F,Xs,Ys))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|is_Arr1861959080le_alt($f232(G,F,Xs,Ys))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f232(G,F,Xs,Ys)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys)))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f232(G,F,Xs,Ys)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Ys)))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|hBOOL(hAPP_A862370221t_bool(F,$f232(G,F,Xs,Ys)))|hBOOL(hAPP_A862370221t_bool(G,$f232(G,F,Xs,Ys)))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|hBOOL(hAPP_A862370221t_bool(F,$f232(G,F,Xs,Ys)))|hBOOL(hAPP_A862370221t_bool(G,$f232(G,F,Xs,Ys)))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys| -hBOOL(hAPP_A862370221t_bool(F,$f232(G,F,Xs,Ys)))| -hBOOL(hAPP_A862370221t_bool(G,$f232(G,F,Xs,Ys)))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys| -hBOOL(hAPP_A862370221t_bool(F,$f232(G,F,Xs,Ys)))| -hBOOL(hAPP_A862370221t_bool(G,$f232(G,F,Xs,Ys)))|hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(F),Xs))| -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f233(G,F,Xs,Ys)),hAPP_l1821533378t_bool(set_nat,Ys)))| -hBOOL(hAPP_list_nat_bool(list_all_nat(F),Xs))|hBOOL(hAPP_list_nat_bool(list_all_nat(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f233(G,F,Xs,Ys)),hAPP_l1821533378t_bool(set_nat,Ys)))|hBOOL(hAPP_list_nat_bool(list_all_nat(F),Xs))| -hBOOL(hAPP_list_nat_bool(list_all_nat(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|hBOOL(hAPP_nat_bool(F,$f233(G,F,Xs,Ys)))|hBOOL(hAPP_nat_bool(G,$f233(G,F,Xs,Ys)))| -hBOOL(hAPP_list_nat_bool(list_all_nat(F),Xs))|hBOOL(hAPP_list_nat_bool(list_all_nat(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys|hBOOL(hAPP_nat_bool(F,$f233(G,F,Xs,Ys)))|hBOOL(hAPP_nat_bool(G,$f233(G,F,Xs,Ys)))|hBOOL(hAPP_list_nat_bool(list_all_nat(F),Xs))| -hBOOL(hAPP_list_nat_bool(list_all_nat(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys| -hBOOL(hAPP_nat_bool(F,$f233(G,F,Xs,Ys)))| -hBOOL(hAPP_nat_bool(G,$f233(G,F,Xs,Ys)))| -hBOOL(hAPP_list_nat_bool(list_all_nat(F),Xs))|hBOOL(hAPP_list_nat_bool(list_all_nat(G),Ys)).
% 13.94/13.80 0 [] Xs!=Ys| -hBOOL(hAPP_nat_bool(F,$f233(G,F,Xs,Ys)))| -hBOOL(hAPP_nat_bool(G,$f233(G,F,Xs,Ys)))|hBOOL(hAPP_list_nat_bool(list_all_nat(F),Xs))| -hBOOL(hAPP_list_nat_bool(list_all_nat(G),Ys)).
% 13.94/13.80 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,$f234(Xs_42,Ys_14)),Xs_42)!=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,$f234(Xs_42,Ys_14)),Ys_14)|Xs_42=Ys_14.
% 13.94/13.80 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,$f235(Xs_42,Ys_14)),Xs_42)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,$f235(Xs_42,Ys_14)),Ys_14)|Xs_42=Ys_14.
% 13.94/13.80 0 [] list_size_bool(Fa,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_bool_nat(Fa,Aa)),list_size_bool(Fa,List_1))),hAPP_nat_nat(suc,zero_zero_nat)).
% 13.94/13.80 0 [] list_s1237850263le_alt(Fa,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Aa),List_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_A2113590458lt_nat(Fa,Aa)),list_s1237850263le_alt(Fa,List_1))),hAPP_nat_nat(suc,zero_zero_nat)).
% 13.94/13.80 0 [] list_size_nat(Fa,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),List_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(Fa,Aa)),list_size_nat(Fa,List_1))),hAPP_nat_nat(suc,zero_zero_nat)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f237(P_1,Xs)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f238(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f237(P_1,Xs)),$f236(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f237(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f241(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f240(P_1,Xs)),$f239(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f240(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|is_bool($f243(P_1,Xs)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f244(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f243(P_1,Xs)),$f242(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_bool_bool(P_1,$f243(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f246(P_1,Xs)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f247(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f246(P_1,Xs)),$f245(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f246(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f245(P_1,Xs))))| -hBOOL(hAPP_A862370221t_bool(P_1,Xa)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f250(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f249(P_1,Xs)),$f248(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f249(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,$f248(P_1,Xs))))| -hBOOL(hAPP_nat_bool(P_1,Xa)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|is_bool($f252(P_1,Xs)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f253(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f252(P_1,Xs)),$f251(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_bool_bool(P_1,$f252(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,$f251(P_1,Xs))))| -hBOOL(hAPP_bool_bool(P_1,Xa)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|is_Arr1861959080le_alt($f255(P_1,Xs)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|Xs=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f256(P_1,Xs)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f255(P_1,Xs)),$f254(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_A862370221t_bool(P_1,$f255(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,X_4))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,Xa),hAPP_l82377208t_bool(set_Ar1565008694le_alt,$f256(P_1,Xs))))| -hBOOL(hAPP_A862370221t_bool(P_1,Xa)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|Xs=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f259(P_1,Xs)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f258(P_1,Xs)),$f257(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(P_1,$f258(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,X_4))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,$f259(P_1,Xs))))| -hBOOL(hAPP_nat_bool(P_1,Xa)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|is_bool($f261(P_1,Xs)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|Xs=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f262(P_1,Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f261(P_1,Xs)),$f260(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_bool_bool(P_1,$f261(P_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,X_4))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Xa),hAPP_l96088310l_bool(set_bool,$f262(P_1,Xs))))| -hBOOL(hAPP_bool_bool(P_1,Xa)).
% 13.94/13.80 0 [] rev_nat(Xs)=foldl_list_nat_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat,Xs).
% 13.94/13.80 0 [] rev_Ar2093961333le_alt(Xs)=foldl_1200072380le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt,Xs).
% 13.94/13.80 0 [] rev_bool(Xs)=foldl_list_bool_bool(cOMBC_80330970t_bool(cons_bool),nil_bool,Xs).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),foldl_nat_nat(plus_plus_nat,zero_zero_nat,Zs))=foldl_nat_nat(plus_plus_nat,X_1,Zs).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_70),A_82)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_43),A_82)|B_70=C_43.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),B_69)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),C_42)|B_69=C_42.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_80),B_68)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_80),C_41)|B_68=C_41.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)|Ba=C_2.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)|Ba!=C_2.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ba)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)|Ba=C_2.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ba)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)|Ba!=C_2.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_79),B_67)),C_40)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_79),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_67),C_40)).
% 13.94/13.80 0 [] foldl_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2),Zs)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),foldl_nat_nat(plus_plus_nat,Y_2,Zs)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_3)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_3)|M_1=N_1.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_3)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_3)|M_1!=N_1.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)|M_1=N_1.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)|M_1!=N_1.
% 13.94/13.80 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)).
% 13.94/13.80 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_3))=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_3)).
% 13.94/13.80 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).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_78),zero_zero_nat)=A_78.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_77),zero_zero_nat)=A_77.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_76)=A_76.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_75)=A_75.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)!=M|N=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=zero_zero_nat|M_1=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=zero_zero_nat|N_1=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=zero_zero_nat|M_1!=zero_zero_nat|N_1!=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),zero_zero_nat)=M.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N)=N.
% 13.94/13.80 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)).
% 13.94/13.80 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)).
% 13.94/13.80 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)).
% 13.94/13.80 0 [] foldl_nat_nat(F,Aa,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=foldl_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,Aa),X_1),Xs).
% 13.94/13.80 0 [] foldl_nat_nat(F,Aa,nil_nat)=Aa.
% 13.94/13.80 0 [] foldl_nat_nat(F,Aa,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys))=foldl_nat_nat(F,foldl_nat_nat(F,Aa,Xs),Ys).
% 13.94/13.80 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|M_1=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|N_1=hAPP_nat_nat(suc,zero_zero_nat).
% 13.94/13.80 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)|N_1=zero_zero_nat|M_1=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)|N_1=zero_zero_nat|N_1=hAPP_nat_nat(suc,zero_zero_nat).
% 13.94/13.80 0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)|M_1!=hAPP_nat_nat(suc,zero_zero_nat)|N_1!=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)|M_1!=zero_zero_nat|N_1!=hAPP_nat_nat(suc,zero_zero_nat).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=hAPP_nat_nat(suc,zero_zero_nat)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|M_1=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=hAPP_nat_nat(suc,zero_zero_nat)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|N_1=hAPP_nat_nat(suc,zero_zero_nat).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=hAPP_nat_nat(suc,zero_zero_nat)|N_1=zero_zero_nat|M_1=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=hAPP_nat_nat(suc,zero_zero_nat)|N_1=zero_zero_nat|N_1=hAPP_nat_nat(suc,zero_zero_nat).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=hAPP_nat_nat(suc,zero_zero_nat)|M_1!=hAPP_nat_nat(suc,zero_zero_nat)|N_1!=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=hAPP_nat_nat(suc,zero_zero_nat)|M_1!=zero_zero_nat|N_1!=hAPP_nat_nat(suc,zero_zero_nat).
% 13.94/13.80 0 [] hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_32),M_8)),X_89)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_32),X_89)),hAPP_A832564074le_alt(replic351609551le_alt(M_8),X_89)).
% 13.94/13.80 0 [] hAPP_nat_list_nat(replicate_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_32),M_8)),X_89)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(N_32),X_89)),hAPP_nat_list_nat(replicate_nat(M_8),X_89)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f263(S_2,Xs,F)),$f265(S_2,Xs,F))),$f264(S_2,Xs,F))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f263(S_2,Xs,F)),$f264(S_2,Xs,F))),$f265(S_2,Xs,F))|foldl_nat_nat(F,S_2,rev_nat(Xs))=foldl_nat_nat(F,S_2,Xs).
% 13.94/13.80 0 [] Aa!=Ba|L_2!=K_3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f266(F,G,L_2,K_3,Aa,Ba)),hAPP_l1821533378t_bool(set_nat,L_2)))|foldl_nat_nat(F,Aa,L_2)=foldl_nat_nat(G,Ba,K_3).
% 13.94/13.80 0 [] Aa!=Ba|L_2!=K_3|hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f267(F,G,L_2,K_3,Aa,Ba)),$f266(F,G,L_2,K_3,Aa,Ba))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(G,$f267(F,G,L_2,K_3,Aa,Ba)),$f266(F,G,L_2,K_3,Aa,Ba))|foldl_nat_nat(F,Aa,L_2)=foldl_nat_nat(G,Ba,K_3).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(P_1,S_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f268(F,Xs,P_1,S_2)),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,foldl_nat_nat(F,S_2,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(P_1,S_2))|hBOOL(hAPP_nat_bool(P_1,$f269(F,Xs,P_1,S_2)))|hBOOL(hAPP_nat_bool(P_1,foldl_nat_nat(F,S_2,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(P_1,S_2))| -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f269(F,Xs,P_1,S_2)),$f268(F,Xs,P_1,S_2))))|hBOOL(hAPP_nat_bool(P_1,foldl_nat_nat(F,S_2,Xs))).
% 13.94/13.80 0 [] linord852754176at_nat(cOMBI_nat,Xs)=foldl_list_nat_nat(cOMBC_1204473209st_nat(linord1850739451at_nat(cOMBI_nat)),nil_nat,Xs).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_73)=A_73.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_72),zero_zero_nat)=A_72.
% 13.94/13.80 0 [] Ba!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)|Aa=zero_zero_nat.
% 13.94/13.80 0 [] Ba=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)|Aa!=zero_zero_nat.
% 13.94/13.80 0 [] foldl_nat_nat(plus_plus_nat,M_1,Ns)!=zero_zero_nat|M_1=zero_zero_nat.
% 13.94/13.80 0 [] foldl_nat_nat(plus_plus_nat,M_1,Ns)!=zero_zero_nat| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Ns)))|X_4=zero_zero_nat.
% 13.94/13.80 0 [] foldl_nat_nat(plus_plus_nat,M_1,Ns)=zero_zero_nat|M_1!=zero_zero_nat|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f270(M_1,Ns)),hAPP_l1821533378t_bool(set_nat,Ns))).
% 13.94/13.80 0 [] foldl_nat_nat(plus_plus_nat,M_1,Ns)=zero_zero_nat|M_1!=zero_zero_nat|$f270(M_1,Ns)!=zero_zero_nat.
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,linord852754176at_nat(cOMBI_nat,Xs))).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_71),B_66)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_39),D_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_71),C_39)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_66),D_9)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_70),B_65)),C_38)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_70),C_38)),B_65).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_69),B_64)),C_37)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_69),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_64),C_37)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_68),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_36),D_8))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_68),C_36)),D_8).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_67),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_35),D_7))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_35),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_67),D_7)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_66),C_34)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_34),A_66).
% 13.94/13.80 0 [] linord852754176at_nat(F,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),linord852754176at_nat(F,Xs)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f271(S_2,Xs,X_1,F)),$f273(S_2,Xs,X_1,F))),$f272(S_2,Xs,X_1,F))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f271(S_2,Xs,X_1,F)),$f272(S_2,Xs,X_1,F))),$f273(S_2,Xs,X_1,F))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,foldl_nat_nat(F,S_2,Xs)),X_1)=foldl_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,S_2),X_1),Xs).
% 13.94/13.80 0 [] hAPP_nat_nat(nat_size,hAPP_nat_nat(suc,Nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(nat_size,Nat)),hAPP_nat_nat(suc,zero_zero_nat)).
% 13.94/13.80 0 [] foldl_nat_nat(plus_plus_nat,zero_zero_nat,Xs)=hAPP_nat_nat(foldr_nat_nat(plus_plus_nat,Xs),zero_zero_nat).
% 13.94/13.80 0 [] foldl_nat_nat(plus_plus_nat,Aa,Xs)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),hAPP_nat_nat(foldr_nat_nat(plus_plus_nat,Xs),zero_zero_nat)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(Q_1,X_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f274(F,P_1,Xs,Q_1,X_1)),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,$f276(F,P_1,Xs,Q_1,X_1)))|hBOOL(hAPP_nat_bool(Q_1,foldl_nat_nat(F,X_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(Q_1,X_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f274(F,P_1,Xs,Q_1,X_1)),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(Q_1,$f275(F,P_1,Xs,Q_1,X_1)))|hBOOL(hAPP_nat_bool(Q_1,foldl_nat_nat(F,X_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(Q_1,X_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f274(F,P_1,Xs,Q_1,X_1)),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(Q_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f275(F,P_1,Xs,Q_1,X_1)),$f276(F,P_1,Xs,Q_1,X_1))))|hBOOL(hAPP_nat_bool(Q_1,foldl_nat_nat(F,X_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(Q_1,X_1))| -hBOOL(hAPP_nat_bool(P_1,$f274(F,P_1,Xs,Q_1,X_1)))|hBOOL(hAPP_nat_bool(P_1,$f276(F,P_1,Xs,Q_1,X_1)))|hBOOL(hAPP_nat_bool(Q_1,foldl_nat_nat(F,X_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(Q_1,X_1))| -hBOOL(hAPP_nat_bool(P_1,$f274(F,P_1,Xs,Q_1,X_1)))|hBOOL(hAPP_nat_bool(Q_1,$f275(F,P_1,Xs,Q_1,X_1)))|hBOOL(hAPP_nat_bool(Q_1,foldl_nat_nat(F,X_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(Q_1,X_1))| -hBOOL(hAPP_nat_bool(P_1,$f274(F,P_1,Xs,Q_1,X_1)))| -hBOOL(hAPP_nat_bool(Q_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f275(F,P_1,Xs,Q_1,X_1)),$f276(F,P_1,Xs,Q_1,X_1))))|hBOOL(hAPP_nat_bool(Q_1,foldl_nat_nat(F,X_1,Xs))).
% 13.94/13.80 0 [] hAPP_nat_nat(nat_size,zero_zero_nat)=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_nat_nat(foldr_nat_nat(plus_plus_nat,Xs),Aa)=foldl_nat_nat(plus_plus_nat,Aa,Xs).
% 13.94/13.80 0 [] hAPP_nat_nat(foldr_nat_nat(F,Xs),Aa)=foldl_nat_nat(cOMBC_nat_nat_nat(F),Aa,rev_nat(Xs)).
% 13.94/13.80 0 [] foldl_nat_nat(F,Aa,Xs)=hAPP_nat_nat(foldr_nat_nat(cOMBC_nat_nat_nat(F),rev_nat(Xs)),Aa).
% 13.94/13.80 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)).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,rev_nat(Xs)))|Xs!=nil_nat|hAPP_nat_nat(foldr_nat_nat(ord_max_nat,Xs),Y_2)=Y_2.
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,rev_nat(Xs)))|Xs=nil_nat|hAPP_nat_nat(foldr_nat_nat(ord_max_nat,Xs),Y_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(nth_nat(Xs),zero_zero_nat)),Y_2).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_1),hAPP_l1821533378t_bool(set_nat,Ns)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),foldl_nat_nat(plus_plus_nat,zero_zero_nat,Ns))).
% 13.94/13.80 0 [] hAPP_bool_nat(bool_size,fTrue)=zero_zero_nat.
% 13.94/13.80 0 [] hAPP_bool_nat(bool_size,fFalse)=zero_zero_nat.
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 13.94/13.80 0 [] hAPP_nat_nat(size_size_nat,N)=N.
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M)).
% 13.94/13.80 0 [] M!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|M=N.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_88),Y_62)),Z_26)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_88),Z_26)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_62),Z_26)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N),zero_zero_nat)=N.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,zero_zero_nat),N)=N.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M),N)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_65),B_63))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_65),C_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_63),C_33))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_64),B_62))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_32),A_64)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_32),B_62))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_63),B_61))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_31),D_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_63),C_31)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_61),D_6))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_62),C_30)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_60),C_30)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_62),B_60)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_29),A_61)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_29),B_59)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_61),B_59)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),zero_zero_nat))|N_1=zero_zero_nat.
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),zero_zero_nat))|N_1!=zero_zero_nat.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),N)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_1)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_1)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|M_1=hAPP_nat_nat(suc,N_1).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_1)))|M_1!=hAPP_nat_nat(suc,N_1).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),hAPP_nat_nat(suc,M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),hAPP_nat_nat(suc,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|M=hAPP_nat_nat(suc,N).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|N_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),$f277(M_1,N_1)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|N_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),J))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_e_q_nat,K),N)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_e_q_nat,K),N)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,N_1)),M_1)=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N_1),cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(ord_max_nat,N_1))),M_1).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N_1),cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(ord_max_nat),N_1))),M_1).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))|hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1)),N_1)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))| -hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1)),N_1)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_60),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_58),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_60),B_58)),zero_zero_nat)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_28))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_57),A_59))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_57),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_59),C_28))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_58))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_56),C_27))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_56),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_58),C_27))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)!=zero_zero_nat|X_1=zero_zero_nat.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)!=zero_zero_nat|Y_2=zero_zero_nat.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)=zero_zero_nat|X_1!=zero_zero_nat|Y_2!=zero_zero_nat.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_57))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_55))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_57),B_55))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_87),Y_61))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_61),Zs_1)))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_87),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_61),Zs_1)))).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Zs))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Zs))))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Zs))).
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Zs))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Zs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,X_1)),hAPP_nat_nat(F,Y_2)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,X_1)),hAPP_nat_nat(F,Y_2)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),Ys))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_2),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Ys)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),hAPP_A2113590458lt_nat(F,X_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),list_s1237850263le_alt(F,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),hAPP_nat_nat(F,X_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),list_size_nat(F,Xs))).
% 13.94/13.80 0 [] hAPP_nat_nat(size_size_nat,zero_zero_nat)=zero_zero_nat.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),foldl_nat_nat(plus_plus_nat,N_1,Ns))).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs)).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),X_4)).
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f278(X_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),$f278(X_1,Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs)).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Ys)).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,Ys)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Xa)).
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Ys))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f280(Xs,Ys)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Ys))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f279(Xs,Ys)),hAPP_l1821533378t_bool(set_nat,Ys))).
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs),Ys)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Ys))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f280(Xs,Ys)),$f279(Xs,Ys))).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Aa))|Aa=nil_nat|Aa=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f281(Aa)),$f282(Aa)).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Aa))|Aa=nil_nat| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),hAPP_l1821533378t_bool(set_nat,$f282(Aa))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f281(Aa)),Xa)).
% 13.94/13.80 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Aa))|Aa=nil_nat|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,$f282(Aa))).
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Aa))|Aa!=nil_nat.
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Aa))|Aa!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19)|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f283(Aa,Xs_19,X_4)),hAPP_l1821533378t_bool(set_nat,Xs_19)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_19)).
% 13.94/13.80 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Aa))|Aa!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_4),Xs_19)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),$f283(Aa,Xs_19,X_4)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_19)).
% 13.94/13.80 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f284(F,Aa,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Aa),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),Xs).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,Aa)),hAPP_nat_nat(F,$f284(F,Aa,Xs))))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),Aa),Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Aa),Xs).
% 13.94/13.80 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f285(X_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),$f285(X_1,Xs)))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,$f286(N_1,N_20,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f286(N_1,N_20,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_20))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,N_20))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M_7))|M_7=hAPP_nat_nat(suc,$f287(N,M_7)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_86),X_86)).
% 13.94/13.80 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_1),Xs)))).
% 13.94/13.80 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,Xs)),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))).
% 13.94/13.80 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_l96088310l_bool(set_bool,Xs)),hAPP_l96088310l_bool(set_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs)))).
% 13.94/13.80 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.80 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs))),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.80 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,X_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.80 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,X_1),Xs))),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.80 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,sublis888024346le_alt(Xs,I_11))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.80 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,sublist_nat(Xs,I_11))),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_85),Y_60))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_60),X_85)).
% 13.94/13.80 0 [] X_1!=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 13.94/13.80 0 [] X_1!=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 13.94/13.80 0 [] X_1=Y_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 13.94/13.80 0 [] X_84!=Y_59|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_84),Y_59)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1=Y_2.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1!=Y_2.
% 13.94/13.80 0 [] A_56!=B_54| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_54),C_26))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_56),C_26)).
% 13.94/13.80 0 [] A_55!=B_53| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_25),B_53))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_25),A_55)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_54),B_52))|B_52!=C_24|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_54),C_24)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_51),A_53))|B_51!=C_23|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_23),A_53)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_83),Y_58))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_58),X_83))|X_83=Y_58.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_82),Y_57))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_57),Z_25))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_82),Z_25)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_56),X_81))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_81),Y_56))|X_81=Y_56.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_55),X_80))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_24),Y_55))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_24),X_80)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_79),Y_54))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_54),X_79)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,M_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs)))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,M_1),Xs))),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs)))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),Y_2)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),X_1)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z),Y_2)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Least_3),$f288(X_78,Least_3)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_78),Least_3)=X_78.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Least_2),$f289(X_77,Least_2)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Least_2),X_77)=X_77.
% 13.94/13.80 0 [] ord_max_nat=max_nat(ord_less_e_q_nat).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_3))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Z_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_3))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_52),B_50)),X_76))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_52),X_76)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_52),B_50)),X_76))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_50),X_76)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_51),C_22))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_49),D_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_51),B_49)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,C_22),D_5))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))| -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_50),A_50)=A_50.
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_49),B_48)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B_48),A_49).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_75),Y_53)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_53),X_75).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_48),B_47))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_48),B_47).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_74),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_74),Y_52))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_74),Y_52).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B_46),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_47),C_21))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B_46),C_21)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_73),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_51),Z_23))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_51),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_73),Z_23)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_46),B_45)),C_20)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_46),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B_45),C_20)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_72),Y_50)),Z_22)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_72),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_50),Z_22)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_71),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_71),Y_49))).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_70),Y_48))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)=Y_2.
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)!=Y_2.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),Z)).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),Z)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_69),A_45))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_69),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_45),B_44))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_68),B_43))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_68),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_44),B_43))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_67),Y_47))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_67),Y_47)=Y_47.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_46),X_66))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_66),Y_46)=X_66.
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_43),X_65))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_42),X_65))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_43),B_42)),X_65)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_45),X_64))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_21),X_64))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_45),Z_21)),X_64)).
% 13.94/13.80 0 [] is_Arr1861959080le_alt($f290(B,A))|hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B)).
% 13.94/13.80 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f290(B,A)),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f290(B,A)),B))|hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B)).
% 13.94/13.80 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f291(B,A)),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f291(B,A)),B))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,$f292(F)))),hAPP_nat_nat(F,$f292(F))))|hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f293(F)),K_2))=hAPP_nat_nat(F,$f293(F)).
% 13.94/13.80 0 [] big_linorder_Max_nat(hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))=foldl_nat_nat(ord_max_nat,X_1,Xs).
% 13.94/13.80 0 [] hBOOL(hAPP_nat_bool(P_1,$f294(Q_1,P_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,collect_nat(P_1)),collect_nat(Q_1))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(Q_1,$f294(Q_1,P_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,collect_nat(P_1)),collect_nat(Q_1))).
% 13.94/13.80 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),R_1)),hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),S_1)))|hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,R_1),S_1)).
% 13.94/13.80 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),R_1)),hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),S_1)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,R_1),S_1)).
% 13.94/13.80 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),R_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),S_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,R_1),S_1)).
% 13.94/13.80 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),R_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),S_1)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,R_1),S_1)).
% 13.94/13.80 0 [] big_Sup_fin_nat(ord_max_nat,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_1),Xs)))=foldl_nat_nat(ord_max_nat,X_1,Xs).
% 13.94/13.80 0 [] Aa!=hAPP_nat_nat(F,Ba)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_2),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f295(C_2,Aa,F,Ba)),$f296(C_2,Aa,F,Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,C_2)),Aa)).
% 13.94/13.80 0 [] Aa!=hAPP_nat_nat(F,Ba)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_2),Ba))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,$f295(C_2,Aa,F,Ba))),hAPP_nat_nat(F,$f296(C_2,Aa,F,Ba))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,C_2)),Aa)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ba),Aa))|hAPP_nat_nat(F,Ba)!=C_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f297(F,C_2,Ba,Aa)),$f298(F,C_2,Ba,Aa)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_2),hAPP_nat_nat(F,Aa))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ba),Aa))|hAPP_nat_nat(F,Ba)!=C_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,$f297(F,C_2,Ba,Aa))),hAPP_nat_nat(F,$f298(F,C_2,Ba,Aa))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_2),hAPP_nat_nat(F,Aa))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_5)),$f299(N_1,P_1)))|hBOOL(hAPP_nat_bool(P_1,M_5))|hBOOL(hAPP_nat_bool(P_1,N_1)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(P_1,$f299(N_1,P_1)))|hBOOL(hAPP_nat_bool(P_1,N_1)).
% 13.94/13.80 0 [] min_nat(cOMBC_nat_nat_bool(ord_less_e_q_nat))=ord_max_nat.
% 13.94/13.80 0 [] hAPP_list_bool_nat(size_size_list_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Aa),List_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_bool_nat(size_size_list_bool,List_1)),hAPP_nat_nat(suc,zero_zero_nat)).
% 13.94/13.80 0 [] hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A_42),List))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_nat_nat(size_size_list_nat,List)),hAPP_nat_nat(suc,zero_zero_nat)).
% 13.94/13.80 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A_42),List))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,List)),hAPP_nat_nat(suc,zero_zero_nat)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)).
% 13.94/13.80 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(ord_min_nat),N_1))),M_1).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_41),B_41)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),A_41)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_41),B_41)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),B_41)).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_40),C_19))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_40),D_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_40),B_40)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,C_19),D_4))).
% 13.94/13.80 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_62),Y_44))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_62),Z_20))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_62),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_44),Z_20))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_61),A_39))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_61),B_39))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_61),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_39),B_39))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_43),X_60))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_60),Y_43)=Y_43.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_59),Y_42))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_59),Y_42)=X_59.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_38),X_58))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_38),B_38)),X_58)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_37),X_57))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_37),B_37)),X_57)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_2),Z)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_2),Z)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_2),Z)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)=X_1.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)!=X_1.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_56),Y_41)),Y_41)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_55),Y_40)),X_55)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_36),A_36)=A_36.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_35),B_36)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B_36),A_35).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_54),Y_39)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_39),X_54).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_34),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_34),B_35))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_34),B_35).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_53),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_53),Y_38))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_53),Y_38).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B_34),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_33),C_18))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_33),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B_34),C_18)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_52),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_37),Z_19))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_37),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_52),Z_19)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_32),B_33)),C_17)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_32),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B_33),C_17)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_51),Y_36)),Z_18)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_51),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_36),Z_18)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_50),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_50),Y_35))=X_50.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_49),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_49),Y_34))=X_49.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_33),Z_17))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_48),Y_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_48),Z_17)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_32),Z_16))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_47),Y_32)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_47),Z_16)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_31),Z_15)),X_46)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_31),X_46)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Z_15),X_46)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_30),Z_14)),X_45)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_30),X_45)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Z_14),X_45)).
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,rev_nat(Xs_41))=hAPP_list_nat_nat(size_size_list_nat,Xs_41).
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,rev_Ar2093961333le_alt(Xs_41))=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_41).
% 13.94/13.81 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_31),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_40),Ys_13))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_31),Xs_40)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_40))),Ys_13)).
% 13.94/13.81 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_31),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_40),Ys_13))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_31),Xs_40)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),hAPP_list_nat_nat(size_size_list_nat,Xs_40))),Ys_13)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_44),Y_29)),Z_13)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_44),Z_13)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_29),Z_13)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,zero_zero_nat),N)=zero_zero_nat.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N),zero_zero_nat)=zero_zero_nat.
% 13.94/13.81 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)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N)=zero_zero_nat.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),zero_zero_nat)=M.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),M)=zero_zero_nat.
% 13.94/13.81 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.
% 13.94/13.81 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).
% 13.94/13.81 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).
% 13.94/13.81 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).
% 13.94/13.81 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).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),J)),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K)).
% 13.94/13.81 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.
% 13.94/13.81 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.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),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),K)),J).
% 13.94/13.81 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),I))=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).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_43),X_43)=X_43.
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_30),Xs_39))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_39)),N_30).
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_30),Xs_39))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_39)),N_30).
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,Xs_38)=hAPP_list_nat_nat(size_size_list_nat,Ys_12)|Xs_38!=Ys_12.
% 13.94/13.81 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_29),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,M_6),Xs_37))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N_29),M_6)),Xs_37).
% 13.94/13.81 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_29),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,M_6),Xs_37))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N_29),M_6)),Xs_37).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),M)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),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))=I.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)|M_1=N_1.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)|M_1!=N_1.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.81 0 [] ord_min_nat=min_nat(ord_less_e_q_nat).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),Z)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),Z)).
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,hAPP_nat_list_nat(replicate_nat(N_28),X_42))=N_28.
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_A832564074le_alt(replic351609551le_alt(N_28),X_42))=N_28.
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,rotate1_nat(Xs_36))=hAPP_list_nat_nat(size_size_list_nat,Xs_36).
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,rotate1322903650le_alt(Xs_36))=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_36).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_41),Y_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_41),Z_12))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_41),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_28),Z_12)))).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_40),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_27),Z_11))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_40),Y_27)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_40),Z_11)))).
% 13.94/13.81 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.
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,nil_nat)=zero_zero_nat.
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,nil_Ar126264853le_alt)=zero_zero_nat.
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,Xs)!=zero_zero_nat|Xs=nil_nat.
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,Xs)=zero_zero_nat|Xs!=nil_nat.
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)!=zero_zero_nat|Xs=nil_Ar126264853le_alt.
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)=zero_zero_nat|Xs!=nil_Ar126264853le_alt.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)=zero_zero_nat.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_bool_nat(size_size_list_bool,Xs)),hAPP_list_bool_nat(size_size_list_bool,Ys)))|Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_35)),hAPP_list_nat_nat(size_size_list_nat,Ys_11)))|Xs_35!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_39),Ys_11).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_35)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_11)))|Xs_35!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_39),Ys_11).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),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),K)),J).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3))).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),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),J)),K).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3)),J_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3)),J_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_1)!=K_3|J_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),I_1).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_1)=K_3|J_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),I_1).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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),J)),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I)),K).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)),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).
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_34),Ys_10))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_34)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_10)).
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_34),Ys_10))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_34)),hAPP_list_nat_nat(size_size_list_nat,Ys_10)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_33)),N_27))|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_27),Xs_33)=Xs_33.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_33)),N_27))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_27),Xs_33)=Xs_33.
% 13.94/13.81 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,I_10),hAPP_A832564074le_alt(replic351609551le_alt(K_5),X_38))=hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,I_10),K_5)),X_38).
% 13.94/13.81 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,I_10),hAPP_nat_list_nat(replicate_nat(K_5),X_38))=hAPP_nat_list_nat(replicate_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,I_10),K_5)),X_38).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(F),X_1),Xs))=hAPP_nat_nat(suc,hAPP_list_nat_nat(size_size_list_nat,Xs)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,dropWhile_nat(P_1,Xs))),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,dropWh156852662le_alt(P_1,Xs))),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N),M).
% 13.94/13.81 0 [] takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))),Xs).
% 13.94/13.81 0 [] takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))),Xs).
% 13.94/13.81 0 [] max_nat(cOMBC_nat_nat_bool(ord_less_e_q_nat))=ord_min_nat.
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,splice_nat(Xs_32,Ys_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_32)),hAPP_list_nat_nat(size_size_list_nat,Ys_9)).
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,splice360969192le_alt(Xs_32,Ys_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_32)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_9)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys))),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(X_1).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Ys))),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(X_1).
% 13.94/13.81 0 [] -is_Arr1861959080le_alt(X_37)|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_31),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_37),Ys_8))),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_31))=X_37.
% 13.94/13.81 0 [] hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_31),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_37),Ys_8))),hAPP_list_nat_nat(size_size_list_nat,Xs_31))=X_37.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_bool_nat(size_size_list_bool,Xs)),N_1)))|hBOOL(hAPP_nat_bool(nth_bool(Ys),N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_bool_nat(size_size_list_bool,Xs)),N_1)))| -hBOOL(hAPP_nat_bool(nth_bool(Ys),N_1)).
% 13.94/13.81 0 [] hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_30),Ys_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_30)),N_26))=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys_7),N_26).
% 13.94/13.81 0 [] hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_30),Ys_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_30)),N_26))=hAPP_nat_nat(nth_nat(Ys_7),N_26).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_36),X_36)=X_36.
% 13.94/13.81 0 [] sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,L_2),L_1),A)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,sublis888024346le_alt(L_2,A)),sublis888024346le_alt(L_1,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(plus_plus_nat),hAPP_l1872264749lt_nat(size_s1873794948le_alt,L_2)))),A)))).
% 13.94/13.81 0 [] sublist_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,L_2),L_1),A)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,sublist_nat(L_2,A)),sublist_nat(L_1,collect_nat(hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(plus_plus_nat),hAPP_list_nat_nat(size_size_list_nat,L_2)))),A)))).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,N_1)),M_1)=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(ord_min_nat,N_1))),M_1).
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)!=hAPP_list_bool_nat(size_size_list_bool,Xs)|is_bool($f301(N_1,Xs)).
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)!=hAPP_list_bool_nat(size_size_list_bool,Xs)|Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f301(N_1,Xs)),$f300(N_1,Xs)).
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)!=hAPP_list_bool_nat(size_size_list_bool,Xs)|hAPP_list_bool_nat(size_size_list_bool,$f300(N_1,Xs))=N_1.
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)=hAPP_list_bool_nat(size_size_list_bool,Xs)| -is_bool(Y_25)|Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)|hAPP_list_bool_nat(size_size_list_bool,Ys_6)!=N_1.
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)!=hAPP_list_nat_nat(size_size_list_nat,Xs)|Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f303(N_1,Xs)),$f302(N_1,Xs)).
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)!=hAPP_list_nat_nat(size_size_list_nat,Xs)|hAPP_list_nat_nat(size_size_list_nat,$f302(N_1,Xs))=N_1.
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)=hAPP_list_nat_nat(size_size_list_nat,Xs)|Xs!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6)|hAPP_list_nat_nat(size_size_list_nat,Ys_6)!=N_1.
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)!=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)|is_Arr1861959080le_alt($f305(N_1,Xs)).
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)!=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)|Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f305(N_1,Xs)),$f304(N_1,Xs)).
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)!=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)|hAPP_l1872264749lt_nat(size_s1873794948le_alt,$f304(N_1,Xs))=N_1.
% 13.94/13.81 0 [] hAPP_nat_nat(suc,N_1)=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)| -is_Arr1861959080le_alt(Y_25)|Xs!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6)|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_6)!=N_1.
% 13.94/13.81 0 [] hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_nat_nat(suc,N_1)|is_bool($f307(Xs,N_1)).
% 13.94/13.81 0 [] hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_nat_nat(suc,N_1)|Xs=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f307(Xs,N_1)),$f306(Xs,N_1)).
% 13.94/13.81 0 [] hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_nat_nat(suc,N_1)|hAPP_list_bool_nat(size_size_list_bool,$f306(Xs,N_1))=N_1.
% 13.94/13.81 0 [] hAPP_list_bool_nat(size_size_list_bool,Xs)=hAPP_nat_nat(suc,N_1)| -is_bool(Y_25)|Xs!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_25),Ys_6)|hAPP_list_bool_nat(size_size_list_bool,Ys_6)!=N_1.
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,Xs)!=hAPP_nat_nat(suc,N_1)|Xs=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f309(Xs,N_1)),$f308(Xs,N_1)).
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,Xs)!=hAPP_nat_nat(suc,N_1)|hAPP_list_nat_nat(size_size_list_nat,$f308(Xs,N_1))=N_1.
% 13.94/13.81 0 [] hAPP_list_nat_nat(size_size_list_nat,Xs)=hAPP_nat_nat(suc,N_1)|Xs!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_25),Ys_6)|hAPP_list_nat_nat(size_size_list_nat,Ys_6)!=N_1.
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)!=hAPP_nat_nat(suc,N_1)|is_Arr1861959080le_alt($f311(Xs,N_1)).
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)!=hAPP_nat_nat(suc,N_1)|Xs=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f311(Xs,N_1)),$f310(Xs,N_1)).
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)!=hAPP_nat_nat(suc,N_1)|hAPP_l1872264749lt_nat(size_s1873794948le_alt,$f310(Xs,N_1))=N_1.
% 13.94/13.81 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)=hAPP_nat_nat(suc,N_1)| -is_Arr1861959080le_alt(Y_25)|Xs!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_25),Ys_6)|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_6)!=N_1.
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,$f314(X_35,Y_26,Z_10)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,$f313(X_35,Y_26,Z_10)),$f312(X_35,Y_26,Z_10)))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,$f314(X_35,Y_26,Z_10)),$f313(X_35,Y_26,Z_10))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,$f314(X_35,Y_26,Z_10)),$f312(X_35,Y_26,Z_10)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_35),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Y_26),Z_10))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_35),Y_26)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_35),Z_10)).
% 13.94/13.81 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,$f317(X_34,Y_24,Z_8)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,$f316(X_34,Y_24,Z_8)),$f315(X_34,Y_24,Z_8)))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,$f317(X_34,Y_24,Z_8)),$f316(X_34,Y_24,Z_8))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,$f317(X_34,Y_24,Z_8)),$f315(X_34,Y_24,Z_8)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_34),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Y_24),Z_8))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_34),Y_24)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_34),Z_8)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(P_1,K_3))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f318(I_1,P_1,K_3))))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_3),I_1))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(P_1,K_3))| -hBOOL(hAPP_nat_bool(P_1,$f318(I_1,P_1,K_3)))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_3),I_1))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Least_1),$f319(X_33,Least_1)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Least_1),X_33)=Least_1.
% 13.94/13.81 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B))).
% 13.94/13.81 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))).
% 13.94/13.81 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)).
% 13.94/13.81 0 [] hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)=collec1729629178le_alt(cOMBS_1393264256l_bool(cOMBB_803794783le_alt(fconj,hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),A)),cOMBB_2104979073le_alt(fNot,hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(member1071917752le_alt),B)))).
% 13.94/13.81 0 [] hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B)))).
% 13.94/13.81 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)).
% 13.94/13.81 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)).
% 13.94/13.81 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,A),B)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)).
% 13.94/13.81 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Least),$f320(X_32,Least)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_32),Least)=Least.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,I_1)),Xs)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,I_1),Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_nat_bool(nth_bool(Xs),I_1)),nil_bool)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_9),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_29)))|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,I_9)),Xs_29)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,I_9),Xs_29)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_29),I_9)),nil_Ar126264853le_alt)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_9),hAPP_list_nat_nat(size_size_list_nat,Xs_29)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,I_9)),Xs_29)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,I_9),Xs_29)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_nat_nat(nth_nat(Xs_29),I_9)),nil_nat)).
% 13.94/13.81 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,rev_nat(Xs_28)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_8),J_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_4),hAPP_list_nat_nat(size_size_list_nat,Xs_28)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs_28),J_4)),hAPP_nat_nat(nth_nat(Xs_28),I_8))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),N)),K)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_23),X_31))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_7),Y_23))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_7),X_31)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_30),Y_22))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_22),Z_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_30),Z_6)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_21),X_29))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),Y_21))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_5),X_29)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_28),Y_20))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_20),Z_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_28),Z_4)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_32),A_31))|A_31=B_32|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_32),A_31)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_30),B_31))|A_30=B_31|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_30),B_31)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_27),Y_19))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_27),Y_19))|X_27=Y_19.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1=Y_2.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1!=Y_2.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_26),Y_18))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_26),Y_18)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_17),X_25))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_25),Y_17)).
% 13.94/13.81 0 [] A_29=B_30| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_30),A_29))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_30),A_29)).
% 13.94/13.81 0 [] A_28=B_29| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_28),B_29))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_28),B_29)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1=Y_2.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1!=Y_2.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_16),X_24))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_24),Y_16)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_23),Y_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_15),X_23)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1=Y_2.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1!=Y_2.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1!=Y_2.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1=Y_2.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_22),Y_14))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_14),X_22)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_3))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_3))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 13.94/13.81 0 [] N_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 13.94/13.81 0 [] N_1!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|N!=zero_zero_nat.
% 13.94/13.81 0 [] N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))|M_1!=N_1.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))|N_1=M_1.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))|N_1!=M_1.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M)))|M=N.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hAPP_nat_nat(suc,M)=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|M=N.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J)),I)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I)),I)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_3),N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),J))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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_n1699378549t_bool(ord_less_nat,M),N)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J)),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),Y_2)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),Y_2)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Z)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),Z)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,X_1),Y_2)),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),Z)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1!=N_1.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|M_1=N_1.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|M_1!=N_1.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|M=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 13.94/13.81 0 [] M!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_1),M_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))|S!=T.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))|M!=N.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 13.94/13.81 0 [] X=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)).
% 13.94/13.81 0 [] M_1=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)).
% 13.94/13.81 0 [] M_1!=N_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.81 0 [] M_1!=N_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_27),B_28))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_27),C_16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_28),C_16))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_26),B_27))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_15),A_26)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_15),B_27))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_25),B_26))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_14),D_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_25),C_14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_26),D_3))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_24),C_13)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_25),C_13)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_25)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_12),A_23)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_12),B_24)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_23),B_24)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_21),Y_13))|X_21=Y_13|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_21)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_20),Y_12))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_20)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_11),X_19))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),Y_11))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_19)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Y_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_10),Z_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Z_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_23),A_22))|B_23!=C_11|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_11),A_22)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_21),B_22))|B_22!=C_10|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_21),C_10)).
% 13.94/13.81 0 [] A_20!=B_21| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_9),B_21))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_9),A_20)).
% 13.94/13.81 0 [] A_19!=B_20| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_20),C_8))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_19),C_8)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_19),A_18))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_18),B_19)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_17),B_18))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_18),A_17)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))|hBOOL(P_1).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_17),Y_9))|Y_9!=X_17.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_16),Y_8))|X_16!=Y_8.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_15),Y_7))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_7),X_15)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_14),Y_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_6),X_14)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_5))|X_13!=Y_5.
% 13.94/13.81 0 [] X_12=Y_4|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_12),Y_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_4),X_12)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1=Y_2.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1!=Y_2.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_3))|X_11=Y_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_11)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))|X_1=Y_2.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1!=Y_2.
% 13.94/13.81 0 [] X_1=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 13.94/13.81 0 [] X_1!=Y_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 13.94/13.81 0 [] X_1!=Y_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),X_10)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),B_17))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_16),B_17))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),A_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A_15),B_16))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),Z)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Z)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)),Z))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),Z)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),Y_2)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),Y_2)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_15),X_7))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_14),B_15)),X_7)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_13),X_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A_13),B_14)),X_6)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_12),B_13))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_7),D_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),C_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_13),D_2))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_11),B_12))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_6),D_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),C_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_12),D_1))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_11))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_10),B_11))).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_9),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_10),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_9),B_10)),zero_zero_nat)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|N_1=hAPP_nat_nat(suc,$f321(N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|N_1!=hAPP_nat_nat(suc,M_5).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,zero_zero_nat)))|N_1=zero_zero_nat.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,zero_zero_nat)))|N_1!=zero_zero_nat.
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))|M_1=zero_zero_nat|M_1=hAPP_nat_nat(suc,$f322(M_1,N_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))|M_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f322(M_1,N_1)),N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))|M_1!=zero_zero_nat.
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))|M_1!=hAPP_nat_nat(suc,J_2)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),N_1)).
% 13.94/13.81 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1)).
% 13.94/13.81 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M)))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),I)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|N_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),$f323(M_1,N_1))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|N_1!=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))|N_1=M_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))|N_1!=M_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),M)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),hAPP_nat_nat(suc,M))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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.
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3)),J_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_3)),J_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_8),B_9))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_5),A_8))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_8),C_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_9),C_5))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 13.94/13.82 0 [] Xs!=Ys|hAPP_list_bool_nat(size_size_list_bool,Xs)=hAPP_list_bool_nat(size_size_list_bool,Ys).
% 13.94/13.82 0 [] Xs!=Ys| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))|hBOOL(hAPP_nat_bool(nth_bool(Ys),I_4)).
% 13.94/13.82 0 [] Xs!=Ys| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))| -hBOOL(hAPP_nat_bool(nth_bool(Ys),I_4)).
% 13.94/13.82 0 [] Xs=Ys|hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_list_bool_nat(size_size_list_bool,Ys)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f324(Xs,Ys)),hAPP_list_bool_nat(size_size_list_bool,Xs))).
% 13.94/13.82 0 [] Xs=Ys|hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_list_bool_nat(size_size_list_bool,Ys)|hBOOL(hAPP_nat_bool(nth_bool(Xs),$f324(Xs,Ys)))|hBOOL(hAPP_nat_bool(nth_bool(Ys),$f324(Xs,Ys))).
% 13.94/13.82 0 [] Xs=Ys|hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_list_bool_nat(size_size_list_bool,Ys)| -hBOOL(hAPP_nat_bool(nth_bool(Xs),$f324(Xs,Ys)))| -hBOOL(hAPP_nat_bool(nth_bool(Ys),$f324(Xs,Ys))).
% 13.94/13.82 0 [] Xs!=Ys|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys).
% 13.94/13.82 0 [] Xs!=Ys| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys),I_4).
% 13.94/13.82 0 [] Xs=Ys|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)!=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f325(Xs,Ys)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.82 0 [] Xs=Ys|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)!=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys)|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f325(Xs,Ys))!=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys),$f325(Xs,Ys)).
% 13.94/13.82 0 [] Xs!=Ys|hAPP_list_nat_nat(size_size_list_nat,Xs)=hAPP_list_nat_nat(size_size_list_nat,Ys).
% 13.94/13.82 0 [] Xs!=Ys| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hAPP_nat_nat(nth_nat(Xs),I_4)=hAPP_nat_nat(nth_nat(Ys),I_4).
% 13.94/13.82 0 [] Xs=Ys|hAPP_list_nat_nat(size_size_list_nat,Xs)!=hAPP_list_nat_nat(size_size_list_nat,Ys)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f326(Xs,Ys)),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.82 0 [] Xs=Ys|hAPP_list_nat_nat(size_size_list_nat,Xs)!=hAPP_list_nat_nat(size_size_list_nat,Ys)|hAPP_nat_nat(nth_nat(Xs),$f326(Xs,Ys))!=hAPP_nat_nat(nth_nat(Ys),$f326(Xs,Ys)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),N_1))| -hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs)),I_1))|hBOOL(hAPP_nat_bool(nth_bool(Xs),I_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),N_1))|hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs)),I_1))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),I_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_7),N_25))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_25),Xs_27)),I_7)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_27),I_7).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_7),N_25))|hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_25),Xs_27)),I_7)=hAPP_nat_nat(nth_nat(Xs_27),I_7).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),N_1))| -hBOOL(hAPP_nat_bool(nth_bool(hAPP_bool_list_bool(replicate_bool(N_1),X_1)),I_1))|hBOOL(X_1).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),N_1))|hBOOL(hAPP_nat_bool(nth_bool(hAPP_bool_list_bool(replicate_bool(N_1),X_1)),I_1))| -hBOOL(X_1).
% 13.94/13.82 0 [] -is_Arr1861959080le_alt(X_5)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_6),N_24))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_A832564074le_alt(replic351609551le_alt(N_24),X_5)),I_6)=X_5.
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_6),N_24))|hAPP_nat_nat(nth_nat(hAPP_nat_list_nat(replicate_nat(N_24),X_5)),I_6)=X_5.
% 13.94/13.82 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),hAPP_A2113590458lt_nat(F,X_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),list_s1237850263le_alt(F,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),hAPP_nat_nat(F,X_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),list_size_nat(F,Xs))).
% 13.94/13.82 0 [] hAPP_n1699378549t_bool(ord_less_nat,X_4)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X_4)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_7),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_8),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_7),B_8)),zero_zero_nat)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_7),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_6),B_7)),zero_zero_nat)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_6),C_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_5),C_4))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_5),C_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_4),C_3))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_3),B_4))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_3))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_list_nat_nat(size_size_list_nat,Xs)))|Xs!=nil_nat.
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_list_nat_nat(size_size_list_nat,Xs)))|Xs=nil_nat.
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|Xs!=nil_Ar126264853le_alt.
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|Xs=nil_Ar126264853le_alt.
% 13.94/13.82 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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.
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,I))),N)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,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)|hBOOL(hAPP_nat_bool(P_1,D)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),$f327(P_1,Aa,Ba)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))| -hBOOL(hAPP_nat_bool(P_1,$f327(P_1,Aa,Ba))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),$f327(P_1,Aa,Ba)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f327(P_1,Aa,Ba))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,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)|hBOOL(hAPP_nat_bool(P_1,D)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),$f328(P_1,Aa,Ba)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))| -hBOOL(hAPP_nat_bool(P_1,$f328(P_1,Aa,Ba))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),$f328(P_1,Aa,Ba)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f328(P_1,Aa,Ba))).
% 13.94/13.82 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f329(X_1,Xs)),hAPP_list_bool_nat(size_size_list_bool,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),$f329(X_1,Xs)))|hBOOL(X_1).
% 13.94/13.82 0 [] -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),$f329(X_1,Xs)))| -hBOOL(X_1).
% 13.94/13.82 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))|hBOOL(X_1).
% 13.94/13.82 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))| -hBOOL(X_1).
% 13.94/13.82 0 [] -is_Arr1861959080le_alt(X_1)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f330(X_1,Xs)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.82 0 [] -is_Arr1861959080le_alt(X_1)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f330(X_1,Xs))=X_1.
% 13.94/13.82 0 [] -is_Arr1861959080le_alt(X_1)|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)!=X_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f331(X_1,Xs)),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hAPP_nat_nat(nth_nat(Xs),$f331(X_1,Xs))=X_1.
% 13.94/13.82 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hAPP_nat_nat(nth_nat(Xs),I_4)!=X_1.
% 13.94/13.82 0 [] is_bool($f332(P_1,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),I_4))).
% 13.94/13.82 0 [] hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f332(P_1,Xs)),hAPP_l96088310l_bool(set_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),I_4))).
% 13.94/13.82 0 [] -hBOOL(hAPP_bool_bool(P_1,$f332(P_1,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),I_4))).
% 13.94/13.82 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f333(P_1,Xs)),hAPP_list_bool_nat(size_size_list_bool,Xs))).
% 13.94/13.82 0 [] -is_bool(X_4)| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_4),hAPP_l96088310l_bool(set_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,X_4))| -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),$f333(P_1,Xs)))).
% 13.94/13.82 0 [] is_Arr1861959080le_alt($f334(P_1,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4))).
% 13.94/13.82 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f334(P_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4))).
% 13.94/13.82 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,$f334(P_1,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4))).
% 13.94/13.82 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f335(P_1,Xs)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.82 0 [] -is_Arr1861959080le_alt(X_4)| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_4),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_4))| -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f335(P_1,Xs)))).
% 13.94/13.82 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f336(P_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),I_4))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,$f336(P_1,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),I_4))).
% 13.94/13.82 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f337(P_1,Xs)),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_4),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_4))| -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),$f337(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(nth_bool(Xs),N_1)),hAPP_l96088310l_bool(set_bool,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_nat_nat(nth_nat(Xs),N_1)),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_list_bool_nat(size_size_list_bool,Xs)))|I_4=J_2|hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))|hBOOL(hAPP_nat_bool(nth_bool(Xs),J_2)).
% 13.94/13.82 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_list_bool_nat(size_size_list_bool,Xs)))|I_4=J_2| -hBOOL(hAPP_nat_bool(nth_bool(Xs),I_4))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),J_2)).
% 13.94/13.82 0 [] hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f339(Xs)),hAPP_list_bool_nat(size_size_list_bool,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f338(Xs)),hAPP_list_bool_nat(size_size_list_bool,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))|$f339(Xs)!=$f338(Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),$f339(Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),$f338(Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))|hBOOL(hAPP_nat_bool(nth_bool(Xs),$f339(Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),$f338(Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|I_4=J_2|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_4)!=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),J_2).
% 13.94/13.82 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f341(Xs)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f340(Xs)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))|$f341(Xs)!=$f340(Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f341(Xs))=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f340(Xs)).
% 13.94/13.82 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),hAPP_list_nat_nat(size_size_list_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_list_nat_nat(size_size_list_nat,Xs)))|I_4=J_2|hAPP_nat_nat(nth_nat(Xs),I_4)!=hAPP_nat_nat(nth_nat(Xs),J_2).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f343(Xs)),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f342(Xs)),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|$f343(Xs)!=$f342(Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))|hAPP_nat_nat(nth_nat(Xs),$f343(Xs))=hAPP_nat_nat(nth_nat(Xs),$f342(Xs)).
% 13.94/13.82 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),I_1))|hBOOL(hAPP_nat_bool(nth_bool(Xs),J_1))|I_1=J_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),I_1))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),J_1))|I_1=J_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),I_1))|hBOOL(hAPP_nat_bool(nth_bool(Xs),J_1))|I_1!=J_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_list_bool_bool(distinct_bool,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),I_1))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),J_1))|I_1!=J_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_1)!=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),J_1)|I_1=J_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),I_1)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),J_1)|I_1!=J_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hAPP_nat_nat(nth_nat(Xs),I_1)!=hAPP_nat_nat(nth_nat(Xs),J_1)|I_1=J_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hAPP_nat_nat(nth_nat(Xs),I_1)=hAPP_nat_nat(nth_nat(Xs),J_1)|I_1!=J_1.
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))),hAPP_list_nat_nat(size_size_list_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))))| -hBOOL(hAPP_nat_bool(nth_bool(takeWhile_bool(P_1,Xs)),J_1))|hBOOL(hAPP_nat_bool(nth_bool(Xs),J_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))))|hBOOL(hAPP_nat_bool(nth_bool(takeWhile_bool(P_1,Xs)),J_1))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),J_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs))))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(takeWh536362254le_alt(P_1,Xs)),J_1)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),J_1).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs))))|hAPP_nat_nat(nth_nat(takeWhile_nat(P_1,Xs)),J_1)=hAPP_nat_nat(nth_nat(Xs),J_1).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_23),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_26)))|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_23),butlas1262502241le_alt(Xs_26))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_23),Xs_26).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_23),hAPP_list_nat_nat(size_size_list_nat,Xs_26)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_23),butlast_nat(Xs_26))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_23),Xs_26).
% 13.94/13.82 0 [] -hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_19),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_19))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f344(P_1,Xs)),hAPP_list_bool_nat(size_size_list_bool,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_bool_bool(list_all_bool(P_1),Xs))| -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),$f344(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_19),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_19))).
% 13.94/13.82 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f345(P_1,Xs)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_l1386638586t_bool(list_a1557668565le_alt(P_1),Xs))| -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f345(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_19),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_19))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f346(P_1,Xs)),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(list_all_nat(P_1),Xs))| -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),$f346(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Ys),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(Ys),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),N_1))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(nth_bool(hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,Xs),Ys)),N_1))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1))| -hBOOL(hAPP_nat_bool(nth_bool(Ys),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_25)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_25),Ys_5)),N_22)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_25),N_22).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_25)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_25),Ys_5)),N_22)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_22),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_25))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),hAPP_list_nat_nat(size_size_list_nat,Xs_25)))|hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_25),Ys_5)),N_22)=hAPP_nat_nat(nth_nat(Xs_25),N_22).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),hAPP_list_nat_nat(size_size_list_nat,Xs_25)))|hAPP_nat_nat(nth_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_25),Ys_5)),N_22)=hAPP_nat_nat(nth_nat(Ys_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_22),hAPP_list_nat_nat(size_size_list_nat,Xs_25))).
% 13.94/13.82 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_24))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_5),J_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_3),hAPP_list_nat_nat(size_size_list_nat,Xs_24)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs_24),I_5)),hAPP_nat_nat(nth_nat(Xs_24),J_3))).
% 13.94/13.82 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),hAPP_list_nat_nat(size_size_list_nat,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_4),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs),I_4)),hAPP_nat_nat(nth_nat(Xs),J_2))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f348(Xs)),hAPP_list_nat_nat(size_size_list_nat,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f347(Xs)),$f348(Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs),$f347(Xs))),hAPP_nat_nat(nth_nat(Xs),$f348(Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(rev_bool(Xs)),N_1))|hBOOL(hAPP_nat_bool(nth_bool(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_list_bool_nat(size_size_list_bool,Xs)),hAPP_nat_nat(suc,N_1)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(rev_bool(Xs)),N_1))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_list_bool_nat(size_size_list_bool,Xs)),hAPP_nat_nat(suc,N_1)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_21),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_23)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(rev_Ar2093961333le_alt(Xs_23)),N_21)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_23),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_23)),hAPP_nat_nat(suc,N_21))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_21),hAPP_list_nat_nat(size_size_list_nat,Xs_23)))|hAPP_nat_nat(nth_nat(rev_nat(Xs_23)),N_21)=hAPP_nat_nat(nth_nat(Xs_23),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_23)),hAPP_nat_nat(suc,N_21))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,dropWhile_bool(P_1,Xs))))| -hBOOL(hAPP_nat_bool(nth_bool(dropWhile_bool(P_1,Xs)),J_1))|hBOOL(hAPP_nat_bool(nth_bool(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,dropWhile_bool(P_1,Xs))))|hBOOL(hAPP_nat_bool(nth_bool(dropWhile_bool(P_1,Xs)),J_1))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs))))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,dropWh156852662le_alt(P_1,Xs))))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(dropWh156852662le_alt(P_1,Xs)),J_1)=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,dropWhile_nat(P_1,Xs))))|hAPP_nat_nat(nth_nat(dropWhile_nat(P_1,Xs)),J_1)=hAPP_nat_nat(nth_nat(Xs),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs)))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f350(Xs_22)),$f349(Xs_22)))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_22)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f349(Xs_22)),hAPP_list_nat_nat(size_size_list_nat,Xs_22)))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_22)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(nth_nat(Xs_22),$f350(Xs_22))),hAPP_nat_nat(nth_nat(Xs_22),$f349(Xs_22))))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_22)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f351(P_1,Xs,N_1)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|takeWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f351(P_1,Xs,N_1)),N_1))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_1)))|takeWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f351(P_1,Xs,N_1)),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|takeWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f351(P_1,Xs,N_1)),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_1)))|takeWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs).
% 13.94/13.82 0 [] -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),$f351(P_1,Xs,N_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|takeWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs).
% 13.94/13.82 0 [] -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),$f351(P_1,Xs,N_1))))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_1)))|takeWhile_bool(P_1,Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f352(P_1,Xs,N_1)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f352(P_1,Xs,N_1)),N_1))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1)))|takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f352(P_1,Xs,N_1)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f352(P_1,Xs,N_1)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1)))|takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs).
% 13.94/13.82 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f352(P_1,Xs,N_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs).
% 13.94/13.82 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f352(P_1,Xs,N_1))))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1)))|takeWh536362254le_alt(P_1,Xs)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f353(P_1,Xs,N_1)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f353(P_1,Xs,N_1)),N_1))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_1)))|takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f353(P_1,Xs,N_1)),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f353(P_1,Xs,N_1)),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_1)))|takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),$f353(P_1,Xs,N_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),$f353(P_1,Xs,N_1))))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_1)))|takeWhile_nat(P_1,Xs)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_1),Xs).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f354(P_1,Xs,J_1)),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),$f354(P_1,Xs,J_1))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_bool_nat(size_size_list_bool,takeWhile_bool(P_1,Xs)))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f355(P_1,Xs,J_1)),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f355(P_1,Xs,J_1))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,takeWh536362254le_alt(P_1,Xs)))).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f356(P_1,Xs,J_1)),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),$f356(P_1,Xs,J_1))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_list_nat_nat(size_size_list_nat,takeWhile_nat(P_1,Xs)))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),hAPP_list_bool_nat(size_size_list_bool,Ys)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f357(Ys,K_3,Xs)),K_3))|hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,K_3),Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,K_3),Ys).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),hAPP_list_bool_nat(size_size_list_bool,Ys)))|hBOOL(hAPP_nat_bool(nth_bool(Xs),$f357(Ys,K_3,Xs)))|hBOOL(hAPP_nat_bool(nth_bool(Ys),$f357(Ys,K_3,Xs)))|hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,K_3),Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,K_3),Ys).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_3),hAPP_list_bool_nat(size_size_list_bool,Ys)))| -hBOOL(hAPP_nat_bool(nth_bool(Xs),$f357(Ys,K_3,Xs)))| -hBOOL(hAPP_nat_bool(nth_bool(Ys),$f357(Ys,K_3,Xs)))|hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,K_3),Xs)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,K_3),Ys).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_21)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_4)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f358(Ys_4,K_4,Xs_21)),K_4))|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,K_4),Xs_21)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,K_4),Ys_4).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_21)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_4)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_21),$f358(Ys_4,K_4,Xs_21))!=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys_4),$f358(Ys_4,K_4,Xs_21))|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,K_4),Xs_21)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,K_4),Ys_4).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_list_nat_nat(size_size_list_nat,Xs_21)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_list_nat_nat(size_size_list_nat,Ys_4)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f359(Ys_4,K_4,Xs_21)),K_4))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,K_4),Xs_21)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,K_4),Ys_4).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_list_nat_nat(size_size_list_nat,Xs_21)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_4),hAPP_list_nat_nat(size_size_list_nat,Ys_4)))|hAPP_nat_nat(nth_nat(Xs_21),$f359(Ys_4,K_4,Xs_21))!=hAPP_nat_nat(nth_nat(Ys_4),$f359(Ys_4,K_4,Xs_21))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,K_4),Xs_21)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,K_4),Ys_4).
% 13.94/13.82 0 [] is_Arr1861959080le_alt($f360(F,G,Xs))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,list_s1237850263le_alt(F,Xs)),list_s1237850263le_alt(G,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f360(F,G,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,list_s1237850263le_alt(F,Xs)),list_s1237850263le_alt(G,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A2113590458lt_nat(F,$f360(F,G,Xs))),hAPP_A2113590458lt_nat(G,$f360(F,G,Xs))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,list_s1237850263le_alt(F,Xs)),list_s1237850263le_alt(G,Xs))).
% 13.94/13.82 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f361(F,G,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,list_size_nat(F,Xs)),list_size_nat(G,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f361(F,G,Xs))),hAPP_nat_nat(G,$f361(F,G,Xs))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,list_size_nat(F,Xs)),list_size_nat(G,Xs))).
% 13.94/13.82 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le1384968325t_bool,A),B))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C_2),B)).
% 13.94/13.82 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f362(X_1,P_1,Xs)),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,X_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),$f362(X_1,P_1,Xs))))| -hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),hAPP_l96088310l_bool(set_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,X_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f363(X_1,P_1,Xs)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),$f363(X_1,P_1,Xs))))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,X_1)).
% 13.94/13.82 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f364(X_1,P_1,Xs)),hAPP_list_nat_nat(size_size_list_nat,Xs)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),$f364(X_1,P_1,Xs))))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,X_1)).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|is_bool($f365(P_1,N_1,Xs))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_1))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,$f365(P_1,N_1,Xs)),hAPP_l96088310l_bool(set_bool,Xs)))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_1))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))| -hBOOL(hAPP_bool_bool(P_1,$f365(P_1,N_1,Xs)))|hBOOL(hAPP_bool_bool(P_1,hAPP_nat_bool(nth_bool(Xs),N_1))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|is_Arr1861959080le_alt($f366(P_1,N_1,Xs))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f366(P_1,N_1,Xs)),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)))| -hBOOL(hAPP_A862370221t_bool(P_1,$f366(P_1,N_1,Xs)))|hBOOL(hAPP_A862370221t_bool(P_1,hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs),N_1))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f367(P_1,N_1,Xs)),hAPP_l1821533378t_bool(set_nat,Xs)))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_1))).
% 13.94/13.82 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_nat_nat(size_size_list_nat,Xs)))| -hBOOL(hAPP_nat_bool(P_1,$f367(P_1,N_1,Xs)))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(nth_nat(Xs),N_1))).
% 13.94/13.82 0 [] hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_list_bool_nat(size_size_list_bool,Ys)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f368(Xs,Ys)),hAPP_list_bool_nat(size_size_list_bool,Xs)))|Xs=Ys.
% 13.94/13.82 0 [] hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_list_bool_nat(size_size_list_bool,Ys)|hBOOL(hAPP_nat_bool(nth_bool(Xs),$f368(Xs,Ys)))|hBOOL(hAPP_nat_bool(nth_bool(Ys),$f368(Xs,Ys)))|Xs=Ys.
% 13.94/13.82 0 [] hAPP_list_bool_nat(size_size_list_bool,Xs)!=hAPP_list_bool_nat(size_size_list_bool,Ys)| -hBOOL(hAPP_nat_bool(nth_bool(Xs),$f368(Xs,Ys)))| -hBOOL(hAPP_nat_bool(nth_bool(Ys),$f368(Xs,Ys)))|Xs=Ys.
% 13.94/13.82 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_20)!=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_3)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f369(Xs_20,Ys_3)),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_20)))|Xs_20=Ys_3.
% 13.94/13.82 0 [] hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_20)!=hAPP_l1872264749lt_nat(size_s1873794948le_alt,Ys_3)|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_20),$f369(Xs_20,Ys_3))!=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Ys_3),$f369(Xs_20,Ys_3))|Xs_20=Ys_3.
% 13.94/13.82 0 [] hAPP_list_nat_nat(size_size_list_nat,Xs_20)!=hAPP_list_nat_nat(size_size_list_nat,Ys_3)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f370(Xs_20,Ys_3)),hAPP_list_nat_nat(size_size_list_nat,Xs_20)))|Xs_20=Ys_3.
% 13.94/13.82 0 [] hAPP_list_nat_nat(size_size_list_nat,Xs_20)!=hAPP_list_nat_nat(size_size_list_nat,Ys_3)|hAPP_nat_nat(nth_nat(Xs_20),$f370(Xs_20,Ys_3))!=hAPP_nat_nat(nth_nat(Ys_3),$f370(Xs_20,Ys_3))|Xs_20=Ys_3.
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f371(P_1,K_3)),K_3))|hAPP_list_bool_nat(size_size_list_bool,$f372(P_1,K_3))=K_3.
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f371(P_1,K_3)),K_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))|hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,I_4),hAPP_nat_bool(nth_bool($f372(P_1,K_3)),I_4))).
% 13.94/13.83 0 [] -is_bool(X1)| -hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,$f371(P_1,K_3)),X1))|hAPP_list_bool_nat(size_size_list_bool,$f372(P_1,K_3))=K_3.
% 13.94/13.83 0 [] -is_bool(X1)| -hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,$f371(P_1,K_3)),X1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))|hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,I_4),hAPP_nat_bool(nth_bool($f372(P_1,K_3)),I_4))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),K_3))|is_bool($f373(P_1,K_3,X14))|hAPP_list_bool_nat(size_size_list_bool,Xs_19)!=K_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f374(P_1,K_3,Xs_19)),K_3)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),K_3))|is_bool($f373(P_1,K_3,X14))|hAPP_list_bool_nat(size_size_list_bool,Xs_19)!=K_3| -hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,$f374(P_1,K_3,Xs_19)),hAPP_nat_bool(nth_bool(Xs_19),$f374(P_1,K_3,Xs_19)))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),K_3))|hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,X14),$f373(P_1,K_3,X14)))|hAPP_list_bool_nat(size_size_list_bool,Xs_19)!=K_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f374(P_1,K_3,Xs_19)),K_3)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),K_3))|hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,X14),$f373(P_1,K_3,X14)))|hAPP_list_bool_nat(size_size_list_bool,Xs_19)!=K_3| -hBOOL(hAPP_bool_bool(hAPP_n1006566506l_bool(P_1,$f374(P_1,K_3,Xs_19)),hAPP_nat_bool(nth_bool(Xs_19),$f374(P_1,K_3,Xs_19)))).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f375(P_1,K_3)),K_3))|hAPP_l1872264749lt_nat(size_s1873794948le_alt,$f376(P_1,K_3))=K_3.
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f375(P_1,K_3)),K_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))|hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,I_4),hAPP_n401316912le_alt(nth_Ar1113433366le_alt($f376(P_1,K_3)),I_4))).
% 13.94/13.83 0 [] -is_Arr1861959080le_alt(X1)| -hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,$f375(P_1,K_3)),X1))|hAPP_l1872264749lt_nat(size_s1873794948le_alt,$f376(P_1,K_3))=K_3.
% 13.94/13.83 0 [] -is_Arr1861959080le_alt(X1)| -hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,$f375(P_1,K_3)),X1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))|hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,I_4),hAPP_n401316912le_alt(nth_Ar1113433366le_alt($f376(P_1,K_3)),I_4))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X15),K_3))|is_Arr1861959080le_alt($f377(P_1,K_3,X15))|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_19)!=K_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f378(P_1,K_3,Xs_19)),K_3)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X15),K_3))|is_Arr1861959080le_alt($f377(P_1,K_3,X15))|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_19)!=K_3| -hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,$f378(P_1,K_3,Xs_19)),hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_19),$f378(P_1,K_3,Xs_19)))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X15),K_3))|hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,X15),$f377(P_1,K_3,X15)))|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_19)!=K_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f378(P_1,K_3,Xs_19)),K_3)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X15),K_3))|hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,X15),$f377(P_1,K_3,X15)))|hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_19)!=K_3| -hBOOL(hAPP_A862370221t_bool(hAPP_n315299280t_bool(P_1,$f378(P_1,K_3,Xs_19)),hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_19),$f378(P_1,K_3,Xs_19)))).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f379(P_1,K_3)),K_3))|hAPP_list_nat_nat(size_size_list_nat,$f380(P_1,K_3))=K_3.
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f379(P_1,K_3)),K_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,I_4),hAPP_nat_nat(nth_nat($f380(P_1,K_3)),I_4))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f379(P_1,K_3)),X1))|hAPP_list_nat_nat(size_size_list_nat,$f380(P_1,K_3))=K_3.
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f379(P_1,K_3)),X1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),K_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,I_4),hAPP_nat_nat(nth_nat($f380(P_1,K_3)),I_4))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X16),K_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,X16),$f381(P_1,K_3,X16)))|hAPP_list_nat_nat(size_size_list_nat,Xs_19)!=K_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f382(P_1,K_3,Xs_19)),K_3)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X16),K_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,X16),$f381(P_1,K_3,X16)))|hAPP_list_nat_nat(size_size_list_nat,Xs_19)!=K_3| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f382(P_1,K_3,Xs_19)),hAPP_nat_nat(nth_nat(Xs_19),$f382(P_1,K_3,Xs_19)))).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f384(M_1,K_3,F)),$f383(M_1,K_3,F)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M_1)),K_3)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_3)))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f384(M_1,K_3,F))),hAPP_nat_nat(F,$f383(M_1,K_3,F))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M_1)),K_3)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_3)))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))| -hBOOL(hAPP_nat_bool(P_1,J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f385(P_1,I_1,J_1)),J_1))|hBOOL(hAPP_nat_bool(P_1,I_1)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))| -hBOOL(hAPP_nat_bool(P_1,J_1))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f385(P_1,I_1,J_1))))|hBOOL(hAPP_nat_bool(P_1,I_1)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))| -hBOOL(hAPP_nat_bool(P_1,J_1))| -hBOOL(hAPP_nat_bool(P_1,$f385(P_1,I_1,J_1)))|hBOOL(hAPP_nat_bool(P_1,I_1)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),$f386(M,N))).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f387(N_1,P_1)),N_1)).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_4),$f387(N_1,P_1)))| -hBOOL(hAPP_nat_bool(P_1,I_4)).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N_1))|hBOOL(hAPP_nat_bool(P_1,$f387(N_1,P_1))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f388(I,J))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),$f388(I,J))=J.
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|N=hAPP_nat_nat(suc,$f389(N)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f390(N_1,N_20,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f390(N_1,N_20,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_20))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,N_20))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f391(N_1,M_1,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f391(N_1,M_1,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f391(N_1,M_1,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f391(N_1,M_1,F)))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_2),C_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_1),C_1))).
% 13.94/13.83 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le1384968325t_bool,A),B))|is_Arr1861959080le_alt($f392(A,B)).
% 13.94/13.83 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le1384968325t_bool,A),B))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,$f392(A,B)),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,B),A))).
% 13.94/13.83 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f393(A,B)),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),A))).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f395(I_1,J_1,F)),$f394(I_1,J_1,F)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f395(I_1,J_1,F))),hAPP_nat_nat(F,$f394(I_1,J_1,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_18),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_18)))|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_18),Xs_18)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_18),Xs_18))),nil_Ar126264853le_alt))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,N_18)),Xs_18).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_18),hAPP_list_nat_nat(size_size_list_nat,Xs_18)))|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_18),Xs_18)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_18),Xs_18))),nil_nat))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,N_18)),Xs_18).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_list_bool_nat(size_size_list_bool,Xs)))|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,N_1),Xs)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,hAPP_list_bool_bool(hd_bool,hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,N_1),Xs))),nil_bool))=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,N_1)),Xs).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(suc,N_17)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,X_3),Xs_17))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_17),Xs_17).
% 13.94/13.83 0 [] hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,hAPP_nat_nat(suc,N_1)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,X_1),Xs))=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,N_1),Xs).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_nat_nat(suc,N_17)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X_3),Xs_17))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_17),Xs_17).
% 13.94/13.83 0 [] hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.83 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs))),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.83 0 [] hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_16),Xs_16))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_16)),N_16).
% 13.94/13.83 0 [] hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,N_1),Xs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)| -hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1))|hBOOL(Y_2).
% 13.94/13.83 0 [] hAPP_l1189022293t_bool(hAPP_n479129736t_bool(drop_bool,N_1),Xs)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,Y_2),Ys)|hBOOL(hAPP_nat_bool(nth_bool(Xs),N_1))| -hBOOL(Y_2).
% 13.94/13.83 0 [] -is_Arr1861959080le_alt(Y_1)|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_15),Xs_15)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,Y_1),Ys_2)|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(Xs_15),N_15)=Y_1.
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_15),Xs_15)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,Y_1),Ys_2)|hAPP_nat_nat(nth_nat(Xs_15),N_15)=Y_1.
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_14),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M_4),Xs_14))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M_4),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_14),M_4)),Xs_14)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_14),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,M_4),Xs_14))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,M_4),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_14),M_4)),Xs_14)).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_13),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,M_3),Xs_13))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_3),N_13)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_13),Xs_13)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_13),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,M_3),Xs_13))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_3),N_13)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_13),Xs_13)).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,N_12),Xs_12)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_12),Xs_12))=Xs_12.
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,N_12),Xs_12)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_12),Xs_12))=Xs_12.
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,I_3),hAPP_nat_list_nat(replicate_nat(K_1),X_2))=hAPP_nat_list_nat(replicate_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_1),I_3)),X_2).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,I_3),hAPP_A832564074le_alt(replic351609551le_alt(K_1),X_2))=hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_1),I_3)),X_2).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(suc,N_11)),Xs_11)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_11),tl_nat(Xs_11)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_nat_nat(suc,N_11)),Xs_11)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_11),tl_Arr1453005548le_alt(Xs_11)).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_10),butlast_nat(Xs_10))=butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_10),Xs_10)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_10),butlas1262502241le_alt(Xs_10))=butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_10),Xs_10)).
% 13.94/13.83 0 [] butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_9),Xs_9))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_9),butlast_nat(Xs_9)).
% 13.94/13.83 0 [] butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_9),Xs_9))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_9),butlas1262502241le_alt(Xs_9)).
% 13.94/13.83 0 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,Xs_8))|hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,I_2),Xs_8))).
% 13.94/13.83 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,Xs_8))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,I_2),Xs_8))).
% 13.94/13.83 0 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,Xs_7))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_8),Xs_7))).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_7),nil_nat)=nil_nat.
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_7),nil_Ar126264853le_alt)=nil_Ar126264853le_alt.
% 13.94/13.83 0 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X_1),hAPP_l82377208t_bool(set_Ar1565008694le_alt,Xs))).
% 13.94/13.83 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_l1821533378t_bool(set_nat,Xs))).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_6),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M_2),Xs_6))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_6),M_2)),Xs_6).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,zero_zero_nat),Xs_5)=Xs_5.
% 13.94/13.83 0 [] tl_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_5),Xs_4))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_5),tl_nat(Xs_4)).
% 13.94/13.83 0 [] tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_5),Xs_4))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_5),tl_Arr1453005548le_alt(Xs_4)).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_4),tl_nat(Xs_3))=tl_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_4),Xs_3)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_4),tl_Arr1453005548le_alt(Xs_3))=tl_Arr1453005548le_alt(hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_4),Xs_3)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,M_1),Xs))),hAPP_l82377208t_bool(set_Ar1565008694le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs)))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M_1),Xs))),hAPP_l1821533378t_bool(set_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs)))).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs)!=nil_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs)),N_1)).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_1),Xs)=nil_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs)),N_1)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs)!=nil_Ar126264853le_alt|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),N_1)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_1),Xs)=nil_Ar126264853le_alt| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),N_1)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_list_nat_nat(size_size_list_nat,Xs_2)),N_3))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_3),Xs_2)=nil_nat.
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_2)),N_3))|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_3),Xs_2)=nil_Ar126264853le_alt.
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_2),hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,Xs_1),Ys_1))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,N_2),Xs_1)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_2),hAPP_list_nat_nat(size_size_list_nat,Xs_1))),Ys_1)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_2),hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs_1),Ys_1))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,N_2),Xs_1)),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_2),hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs_1))),Ys_1)).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=Zs|Xs=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),Zs).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)!=Zs|Ys=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),Zs).
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,Xs),Ys)=Zs|Xs!=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),Zs)|Ys!=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_l1872264749lt_nat(size_s1873794948le_alt,Xs)),Zs).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))|K=hAPP_nat_nat(suc,I)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),$f396(I,K))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))|K=hAPP_nat_nat(suc,I)|K=hAPP_nat_nat(suc,$f396(I,K)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),$f397(I,K))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K))|K=hAPP_nat_nat(suc,$f397(I,K)).
% 13.94/13.83 0 [] map_nat_nat(suc,hAPP_nat_list_nat(upt(M_1),N_1))=hAPP_nat_list_nat(upt(hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1)).
% 13.94/13.83 0 [] hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_nat_list_nat(upt(I),J))).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)),J))|hAPP_nat_nat(nth_nat(hAPP_nat_list_nat(upt(I),J)),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K).
% 13.94/13.83 0 [] hAPP_nat_list_nat(upt(I),zero_zero_nat)=nil_nat.
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hAPP_nat_list_nat(upt(I),J)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,I),hAPP_nat_list_nat(upt(hAPP_nat_nat(suc,I)),J)).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hAPP_nat_list_nat(upt(I),J)=nil_nat.
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hAPP_nat_list_nat(upt(I),J)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,I),hAPP_nat_list_nat(upt(hAPP_nat_nat(suc,I)),J)).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,M),hAPP_nat_list_nat(upt(I),J))=hAPP_nat_list_nat(upt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M)),J).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))|hAPP_list_nat_nat(hd_nat,hAPP_nat_list_nat(upt(I),J))=I.
% 13.94/13.83 0 [] hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_nat_list_nat(upt(I),J))).
% 13.94/13.83 0 [] hAPP_list_nat_nat(size_size_list_nat,hAPP_nat_list_nat(upt(I),J))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M)),N))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,M),hAPP_nat_list_nat(upt(I),N))=hAPP_nat_list_nat(upt(I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I))|hAPP_nat_list_nat(upt(I),J)=nil_nat.
% 13.94/13.83 0 [] hAPP_nat_list_nat(upt(I_1),J_1)!=nil_nat|J_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_1)).
% 13.94/13.83 0 [] hAPP_nat_list_nat(upt(I_1),J_1)=nil_nat|J_1!=zero_zero_nat.
% 13.94/13.83 0 [] hAPP_nat_list_nat(upt(I_1),J_1)=nil_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_1)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hAPP_nat_list_nat(upt(I),hAPP_nat_nat(suc,J))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(upt(I),J)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,J),nil_nat)).
% 13.94/13.83 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hAPP_nat_list_nat(upt(I),hAPP_nat_nat(suc,J))=nil_nat.
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hAPP_nat_list_nat(upt(I),hAPP_nat_nat(suc,J))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(upt(I),J)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,J),nil_nat)).
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hAPP_nat_list_nat(upt(I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(upt(I),J)),hAPP_nat_list_nat(upt(J),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K))).
% 13.94/13.83 0 [] -hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P).
% 13.94/13.83 0 [] hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P)).
% 13.94/13.83 0 [] hBOOL(fTrue).
% 13.94/13.83 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 13.94/13.83 0 [] -hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)).
% 13.94/13.83 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P).
% 13.94/13.83 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q).
% 13.94/13.83 0 [] -hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)).
% 13.94/13.83 0 [] -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)).
% 13.94/13.83 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))|hBOOL(P)|hBOOL(Q).
% 13.94/13.83 0 [] -hBOOL(fFalse).
% 13.94/13.83 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 13.94/13.83 0 [] hAPP_nat_nat(cOMBI_nat,P)=P.
% 13.94/13.83 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y.
% 13.94/13.83 0 [] X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y)).
% 13.94/13.83 0 [] -is_bool(X)| -is_bool(Y)| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fe_qual_bool,X),Y))|X=Y.
% 13.94/13.83 0 [] X!=Y|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fe_qual_bool,X),Y)).
% 13.94/13.83 0 [] if_list_nat(fTrue,X,Y)=X.
% 13.94/13.83 0 [] if_list_nat(fFalse,X,Y)=Y.
% 13.94/13.83 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 13.94/13.83 0 [] if_list_bool(fTrue,X,Y)=X.
% 13.94/13.83 0 [] if_list_bool(fFalse,X,Y)=Y.
% 13.94/13.83 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 13.94/13.83 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(fe_qual_list_nat,X),Y))|X=Y.
% 13.94/13.83 0 [] X!=Y|hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(fe_qual_list_nat,X),Y)).
% 13.94/13.83 0 [] hAPP_nat_nat(cOMBB_nat_nat_nat(P,Q),R)=hAPP_nat_nat(P,hAPP_nat_nat(Q,R)).
% 13.94/13.83 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(P),Q),R)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(P,R),Q).
% 13.94/13.83 0 [] hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q).
% 13.94/13.83 0 [] hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R)=hAPP_bool_bool(P,hAPP_nat_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_bool_bool(cOMBB_bool_bool_bool(P,Q),R)=hAPP_bool_bool(P,hAPP_bool_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_bool_bool(hAPP_b589554111l_bool(cOMBC_bool_bool_bool(P),Q),R)=hAPP_bool_bool(hAPP_b589554111l_bool(P,R),Q).
% 13.94/13.83 0 [] hAPP_bool_bool(cOMBS_bool_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_b589554111l_bool(P,R),hAPP_bool_bool(Q,R)).
% 13.94/13.83 0 [] -is_Arr1861959080le_alt(X)| -is_Arr1861959080le_alt(Y)| -hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(fe_qual1160105444le_alt,X),Y))|X=Y.
% 13.94/13.83 0 [] X!=Y|hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(fe_qual1160105444le_alt,X),Y)).
% 13.94/13.83 0 [] if_lis1340954026le_alt(fTrue,X,Y)=X.
% 13.94/13.83 0 [] if_lis1340954026le_alt(fFalse,X,Y)=Y.
% 13.94/13.83 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 13.94/13.83 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(fe_qual796301787le_alt,X),Y))|X=Y.
% 13.94/13.83 0 [] X!=Y|hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(fe_qual796301787le_alt,X),Y)).
% 13.94/13.83 0 [] hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q).
% 13.94/13.83 0 [] hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_b589554111l_bool(cOMBB_1914122979l_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_bool_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_nat_list_nat(cOMBB_850496866at_nat(P,Q),R)=hAPP_l248265089st_nat(P,hAPP_nat_list_nat(Q,R)).
% 13.94/13.83 0 [] hAPP_nat_list_nat(hAPP_l383341732st_nat(cOMBC_1204473209st_nat(P),Q),R)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(P,R),Q).
% 13.94/13.83 0 [] hAPP_A862370221t_bool(cOMBB_2104979073le_alt(P,Q),R)=hAPP_bool_bool(P,hAPP_A862370221t_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_nat_list_bool(cOMBB_1891801486ol_nat(P,Q),R)=hAPP_l1189022293t_bool(P,hAPP_nat_list_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_nat_list_bool(hAPP_l1656175496t_bool(cOMBC_1038295629t_bool(P),Q),R)=hAPP_l1189022293t_bool(hAPP_n479129736t_bool(P,R),Q).
% 13.94/13.83 0 [] hAPP_A862370221t_bool(cOMBS_1393264256l_bool(P,Q),R)=hAPP_bool_bool(hAPP_A822657487l_bool(P,R),hAPP_A862370221t_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_bool_list_bool(hAPP_l1045755451t_bool(cOMBC_80330970t_bool(P),Q),R)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(P,R),Q).
% 13.94/13.83 0 [] hAPP_n280362926st_nat(cOMBK_1717478773at_nat(P),Q)=P.
% 13.94/13.83 0 [] hAPP_n215258509l_bool(cOMBB_1146692694ol_nat(P,Q),R)=hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R)).
% 13.94/13.83 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(cOMBC_950362600st_nat(P),Q),R)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(P,R),Q).
% 13.94/13.83 0 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(cOMBC_1789016513t_bool(P),Q),R)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(P,R),Q).
% 13.94/13.83 0 [] hAPP_A822657487l_bool(cOMBB_803794783le_alt(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_A862370221t_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_A862370221t_bool(hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(P),Q),R)=hAPP_A862370221t_bool(hAPP_A1664620203t_bool(P,R),Q).
% 13.94/13.83 0 [] hAPP_n280362926st_nat(cOMBB_472649634at_nat(P,Q),R)=hAPP_l710375585st_nat(P,hAPP_nat_list_nat(Q,R)).
% 13.94/13.83 0 [] hAPP_b994696797t_bool(cOMBB_1663860504l_bool(P,Q),R)=hAPP_l1947611924t_bool(P,hAPP_bool_list_bool(Q,R)).
% 13.94/13.83 0 [] hAPP_A862370221t_bool(hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(P),Q),R)=hAPP_f2013399995l_bool(hAPP_A297543629l_bool(P,R),Q).
% 13.94/13.83 0 [] hAPP_n1875670159le_alt(cOMBB_903467948lt_nat(P,Q),R)=hAPP_l726444215le_alt(P,hAPP_n1875670159le_alt(Q,R)).
% 13.94/13.83 0 [] hAPP_n1875670159le_alt(hAPP_l382792410le_alt(cOMBC_1511969967le_alt(P),Q),R)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(P,R),Q).
% 13.94/13.83 0 [] hAPP_A832564074le_alt(hAPP_l618618165le_alt(cOMBC_1919297930le_alt(P),Q),R)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(P,R),Q).
% 13.94/13.83 0 [] hAPP_A408086601le_alt(cOMBK_1696648346le_alt(P),Q)=P.
% 13.94/13.83 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(cOMBC_1058495865le_alt(P),Q),R)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(P,R),Q).
% 13.94/13.83 0 [] hAPP_A408086601le_alt(cOMBB_881934114le_alt(P,Q),R)=hAPP_l568342716le_alt(P,hAPP_A832564074le_alt(Q,R)).
% 13.94/13.83 0 [] a!=b.
% 13.94/13.83 0 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,a),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,b),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),nil_Ar126264853le_alt))))).
% 13.94/13.83 end_of_list.
% 13.94/13.83
% 13.94/13.83 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 13.94/13.83
% 13.94/13.83 This ia a non-Horn set with equality. The strategy will be
% 13.94/13.83 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 13.94/13.83 deletion, with positive clauses in sos and nonpositive
% 13.94/13.83 clauses in usable.
% 13.94/13.83
% 13.94/13.83 dependent: set(knuth_bendix).
% 13.94/13.83 dependent: set(anl_eq).
% 13.94/13.83 dependent: set(para_from).
% 13.94/13.83 dependent: set(para_into).
% 13.94/13.83 dependent: clear(para_from_right).
% 13.94/13.83 dependent: clear(para_into_right).
% 13.94/13.83 dependent: set(para_from_vars).
% 13.94/13.83 dependent: set(eq_units_both_ways).
% 13.94/13.83 dependent: set(dynamic_demod_all).
% 13.94/13.83 dependent: set(dynamic_demod).
% 13.94/13.83 dependent: set(order_eq).
% 13.94/13.83 dependent: set(back_demod).
% 13.94/13.83 dependent: set(lrpo).
% 13.94/13.83 dependent: set(hyper_res).
% 13.94/13.83 dependent: set(unit_deletion).
% 13.94/13.83 dependent: set(factor).
% 13.94/13.83
% 13.94/13.83 ------------> process usable:
% 13.94/13.83 ** KEPT (pick-wt=6): 1 [] -is_Arr1861959080le_alt(A)|is_bool(hAPP_A862370221t_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=6): 2 [] -is_bool(A)|is_bool(hAPP_bool_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=7): 4 [copy,3,flip.1] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=nil_bool.
% 13.94/13.83 ** KEPT (pick-wt=7): 6 [copy,5,flip.1] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=nil_Ar126264853le_alt.
% 13.94/13.83 ** KEPT (pick-wt=7): 8 [copy,7,flip.1] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=nil_nat.
% 13.94/13.83 Following clause subsumed by 4 during input processing: 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=nil_bool.
% 13.94/13.83 Following clause subsumed by 6 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=nil_Ar126264853le_alt.
% 13.94/13.83 Following clause subsumed by 8 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=nil_nat.
% 13.94/13.83 ** KEPT (pick-wt=12): 9 [] A!=nil_bool| -is_bool(B)|A!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),C).
% 13.94/13.83 ** KEPT (pick-wt=12): 10 [] A!=nil_Ar126264853le_alt| -is_Arr1861959080le_alt(B)|A!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C).
% 13.94/13.83 ** KEPT (pick-wt=10): 11 [] A!=nil_nat|A!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C).
% 13.94/13.83 ** KEPT (pick-wt=7): 13 [copy,12,flip.1] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=B.
% 13.94/13.83 ** KEPT (pick-wt=7): 15 [copy,14,flip.1] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=B.
% 13.94/13.83 ** KEPT (pick-wt=7): 17 [copy,16,flip.1] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=B.
% 13.94/13.83 Following clause subsumed by 13 during input processing: 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=B.
% 13.94/13.83 Following clause subsumed by 15 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=B.
% 13.94/13.83 Following clause subsumed by 17 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=B.
% 13.94/13.83 ** KEPT (pick-wt=15): 18 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)| -hBOOL(A)|hBOOL(C).
% 13.94/13.83 ** KEPT (pick-wt=15): 19 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|hBOOL(A)| -hBOOL(C).
% 13.94/13.83 ** KEPT (pick-wt=14): 20 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|B=D.
% 13.94/13.83 ** KEPT (pick-wt=18): 21 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|hBOOL(A)|hBOOL(C)|B!=D.
% 13.94/13.83 ** KEPT (pick-wt=18): 22 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)| -hBOOL(A)| -hBOOL(C)|B!=D.
% 13.94/13.83 ** KEPT (pick-wt=18): 23 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),C)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),D)|A=B.
% 13.94/13.83 ** KEPT (pick-wt=18): 24 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),C)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),D)|C=D.
% 13.94/13.83 ** KEPT (pick-wt=21): 25 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),C)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),D)|A!=B|C!=D.
% 13.94/13.83 ** KEPT (pick-wt=14): 26 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|A=C.
% 13.94/13.83 ** KEPT (pick-wt=14): 27 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|B=D.
% 13.94/13.83 ** KEPT (pick-wt=17): 28 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|A!=C|B!=D.
% 13.94/13.83 ** KEPT (pick-wt=16): 29 [] A=nil_bool|is_bool($f13(B,A))|$f14(B,A)!=nil_bool|hBOOL(hAPP_list_bool_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=23): 30 [] A=nil_bool|is_bool($f13(B,A))| -hBOOL(hAPP_list_bool_bool(B,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f15(B,A)),$f14(B,A))))|hBOOL(hAPP_list_bool_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=21): 31 [] A=nil_bool| -hBOOL(hAPP_list_bool_bool(B,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f13(B,A)),nil_bool)))|is_bool($f15(B,A))|hBOOL(hAPP_list_bool_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=22): 32 [] A=nil_bool| -hBOOL(hAPP_list_bool_bool(B,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f13(B,A)),nil_bool)))|$f14(B,A)!=nil_bool|hBOOL(hAPP_list_bool_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=23): 33 [] A=nil_bool| -hBOOL(hAPP_list_bool_bool(B,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f13(B,A)),nil_bool)))|hBOOL(hAPP_list_bool_bool(B,$f14(B,A)))|hBOOL(hAPP_list_bool_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=29): 34 [] A=nil_bool| -hBOOL(hAPP_list_bool_bool(B,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f13(B,A)),nil_bool)))| -hBOOL(hAPP_list_bool_bool(B,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f15(B,A)),$f14(B,A))))|hBOOL(hAPP_list_bool_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=16): 35 [] A=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f16(B,A))|$f17(B,A)!=nil_Ar126264853le_alt|hBOOL(hAPP_l1386638586t_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=23): 36 [] A=nil_Ar126264853le_alt|is_Arr1861959080le_alt($f16(B,A))| -hBOOL(hAPP_l1386638586t_bool(B,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f18(B,A)),$f17(B,A))))|hBOOL(hAPP_l1386638586t_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=21): 37 [] A=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(B,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f16(B,A)),nil_Ar126264853le_alt)))|is_Arr1861959080le_alt($f18(B,A))|hBOOL(hAPP_l1386638586t_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=22): 38 [] A=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(B,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f16(B,A)),nil_Ar126264853le_alt)))|$f17(B,A)!=nil_Ar126264853le_alt|hBOOL(hAPP_l1386638586t_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=23): 39 [] A=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(B,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f16(B,A)),nil_Ar126264853le_alt)))|hBOOL(hAPP_l1386638586t_bool(B,$f17(B,A)))|hBOOL(hAPP_l1386638586t_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=29): 40 [] A=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(B,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f16(B,A)),nil_Ar126264853le_alt)))| -hBOOL(hAPP_l1386638586t_bool(B,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f18(B,A)),$f17(B,A))))|hBOOL(hAPP_l1386638586t_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=22): 41 [] A=nil_nat| -hBOOL(hAPP_list_nat_bool(B,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f19(B,A)),nil_nat)))|$f20(B,A)!=nil_nat|hBOOL(hAPP_list_nat_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=23): 42 [] A=nil_nat| -hBOOL(hAPP_list_nat_bool(B,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f19(B,A)),nil_nat)))|hBOOL(hAPP_list_nat_bool(B,$f20(B,A)))|hBOOL(hAPP_list_nat_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=29): 43 [] A=nil_nat| -hBOOL(hAPP_list_nat_bool(B,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f19(B,A)),nil_nat)))| -hBOOL(hAPP_list_nat_bool(B,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f21(B,A)),$f20(B,A))))|hBOOL(hAPP_list_nat_bool(B,A)).
% 13.94/13.83 ** KEPT (pick-wt=12): 44 [] A=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,butlas1262502241le_alt(A))).
% 13.94/13.83 ** KEPT (pick-wt=12): 45 [] A=nil_nat| -hBOOL(hAPP_list_nat_bool(distinct_nat,A))|hBOOL(hAPP_list_nat_bool(distinct_nat,butlast_nat(A))).
% 13.94/13.83 ** KEPT (pick-wt=12): 46 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,B),A))).
% 13.94/13.83 ** KEPT (pick-wt=12): 47 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,A))|hBOOL(hAPP_list_nat_bool(distinct_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,B),A))).
% 13.94/13.83 ** KEPT (pick-wt=11): 48 [] A!=nil_bool|butlast_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),A))=nil_bool.
% 13.94/13.83 ** KEPT (pick-wt=11): 49 [] A!=nil_Ar126264853le_alt|butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),A))=nil_Ar126264853le_alt.
% 13.94/13.83 ** KEPT (pick-wt=11): 50 [] A!=nil_nat|butlast_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),A))=nil_nat.
% 13.94/13.83 ** KEPT (pick-wt=7): 51 [] A!=nil_Ar126264853le_alt|hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,A)).
% 13.94/13.83 ** KEPT (pick-wt=7): 52 [] A=nil_Ar126264853le_alt| -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,A)).
% 13.94/13.83 ** KEPT (pick-wt=7): 53 [] A!=nil_nat|hBOOL(hAPP_list_nat_bool(null_nat,A)).
% 13.94/13.83 ** KEPT (pick-wt=7): 54 [] A=nil_nat| -hBOOL(hAPP_list_nat_bool(null_nat,A)).
% 13.94/13.83 Following clause subsumed by 52 during input processing: 0 [] -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,A))|A=nil_Ar126264853le_alt.
% 13.94/13.83 Following clause subsumed by 51 during input processing: 0 [] hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,A))|A!=nil_Ar126264853le_alt.
% 13.94/13.83 Following clause subsumed by 54 during input processing: 0 [] -hBOOL(hAPP_list_nat_bool(null_nat,A))|A=nil_nat.
% 13.94/13.83 Following clause subsumed by 53 during input processing: 0 [] hBOOL(hAPP_list_nat_bool(null_nat,A))|A!=nil_nat.
% 13.94/13.83 ** KEPT (pick-wt=8): 55 [] -hBOOL(hAPP_list_bool_bool(null_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B))).
% 13.94/13.83 ** KEPT (pick-wt=8): 56 [] -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))).
% 13.94/13.83 ** KEPT (pick-wt=8): 57 [] -hBOOL(hAPP_list_nat_bool(null_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B))).
% 13.94/13.83 ** KEPT (pick-wt=13): 58 [] A!=nil_bool| -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),A)))|hBOOL(B).
% 13.94/13.83 ** KEPT (pick-wt=13): 59 [] A!=nil_bool|hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),A)))| -hBOOL(B).
% 13.94/13.83 ** KEPT (pick-wt=14): 60 [] -is_Arr1861959080le_alt(A)|B!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))=A.
% 13.94/13.83 ** KEPT (pick-wt=12): 61 [] A!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),A))=B.
% 13.94/13.83 ** KEPT (pick-wt=33): 63 [copy,62,flip.2] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),$f22(A,B,C,D))=A|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),$f22(A,B,C,D))=C.
% 13.94/13.83 ** KEPT (pick-wt=33): 65 [copy,64,flip.2,flip.3] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),$f22(A,B,C,D))=A|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f22(A,B,C,D)),D)=B.
% 13.94/13.84 ** KEPT (pick-wt=33): 66 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f22(A,B,C,D)),B)=D|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),$f22(A,B,C,D))=C.
% 13.94/13.84 ** KEPT (pick-wt=33): 68 [copy,67,flip.3] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f22(A,B,C,D)),B)=D|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f22(A,B,C,D)),D)=B.
% 13.94/13.84 ** KEPT (pick-wt=25): 69 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|A!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),E)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,E),B)!=D.
% 13.94/13.84 ** KEPT (pick-wt=25): 70 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),E)!=C|B!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,E),D).
% 13.94/13.84 ** KEPT (pick-wt=33): 72 [copy,71,flip.2] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),$f23(A,B,C,D))=A|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),$f23(A,B,C,D))=C.
% 13.94/13.84 ** KEPT (pick-wt=33): 74 [copy,73,flip.2,flip.3] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),$f23(A,B,C,D))=A|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f23(A,B,C,D)),D)=B.
% 13.94/13.84 ** KEPT (pick-wt=33): 75 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f23(A,B,C,D)),B)=D|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),$f23(A,B,C,D))=C.
% 13.94/13.84 ** KEPT (pick-wt=33): 77 [copy,76,flip.3] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f23(A,B,C,D)),B)=D|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f23(A,B,C,D)),D)=B.
% 13.94/13.84 ** KEPT (pick-wt=25): 78 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|A!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),E)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,E),B)!=D.
% 13.94/13.84 ** KEPT (pick-wt=25): 79 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),E)!=C|B!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,E),D).
% 13.94/13.84 ** KEPT (pick-wt=14): 80 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),C)|B=C.
% 13.94/13.84 ** KEPT (pick-wt=14): 81 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),C)|B!=C.
% 13.94/13.84 ** KEPT (pick-wt=14): 82 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),C)|B=C.
% 13.94/13.84 ** KEPT (pick-wt=14): 83 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),C)|B!=C.
% 13.94/13.84 ** KEPT (pick-wt=14): 84 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),B)|A=C.
% 14.00/13.84 ** KEPT (pick-wt=14): 85 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),B)|A!=C.
% 14.00/13.84 ** KEPT (pick-wt=14): 86 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),B)|A=C.
% 14.00/13.84 ** KEPT (pick-wt=14): 87 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),B)|A!=C.
% 14.00/13.84 Following clause subsumed by 70 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=C|D!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),E)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),D)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),E).
% 14.00/13.84 Following clause subsumed by 79 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=C|D!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),E)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),D)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),E).
% 14.00/13.84 ** KEPT (pick-wt=14): 88 [] A!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),A))=hAPP_l1105242632le_alt(last_A57386030le_alt,B).
% 14.00/13.84 ** KEPT (pick-wt=14): 89 [] A!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),A))=hAPP_list_nat_nat(last_nat,B).
% 14.00/13.84 Following clause subsumed by 88 during input processing: 0 [] A!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),A))=hAPP_l1105242632le_alt(last_A57386030le_alt,B).
% 14.00/13.84 Following clause subsumed by 89 during input processing: 0 [] A!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),A))=hAPP_list_nat_nat(last_nat,B).
% 14.00/13.84 ** KEPT (pick-wt=14): 90 [] -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))))|hBOOL(B).
% 14.00/13.84 ** KEPT (pick-wt=14): 91 [] hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))))| -hBOOL(B).
% 14.00/13.84 ** KEPT (pick-wt=15): 92 [] -is_Arr1861959080le_alt(A)|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt)))=A.
% 14.00/13.84 ** KEPT (pick-wt=25): 93 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=C|D!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,B),E)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),D)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),E).
% 14.00/13.84 ** KEPT (pick-wt=25): 94 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=C|D!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),E)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),D)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),E).
% 14.00/13.84 ** KEPT (pick-wt=25): 95 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=C|D!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),E)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),D)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),E).
% 14.00/13.84 ** KEPT (pick-wt=10): 97 [copy,96,flip.1] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=nil_Ar126264853le_alt|A=nil_Ar126264853le_alt.
% 14.00/13.84 ** KEPT (pick-wt=10): 99 [copy,98,flip.1] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=nil_Ar126264853le_alt|B=nil_Ar126264853le_alt.
% 14.00/13.84 ** KEPT (pick-wt=13): 101 [copy,100,flip.1] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=nil_Ar126264853le_alt|A!=nil_Ar126264853le_alt|B!=nil_Ar126264853le_alt.
% 14.00/13.84 ** KEPT (pick-wt=10): 103 [copy,102,flip.1] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=nil_nat|A=nil_nat.
% 14.00/13.84 ** KEPT (pick-wt=10): 105 [copy,104,flip.1] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=nil_nat|B=nil_nat.
% 14.00/13.84 ** KEPT (pick-wt=13): 107 [copy,106,flip.1] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=nil_nat|A!=nil_nat|B!=nil_nat.
% 14.00/13.84 ** KEPT (pick-wt=10): 109 [copy,108,flip.1] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=A|B=nil_Ar126264853le_alt.
% 14.00/13.84 ** KEPT (pick-wt=10): 111 [copy,110,flip.1] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=A|B!=nil_Ar126264853le_alt.
% 14.00/13.84 ** KEPT (pick-wt=10): 113 [copy,112,flip.1] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=A|B=nil_nat.
% 14.00/13.84 ** KEPT (pick-wt=10): 115 [copy,114,flip.1] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=A|B!=nil_nat.
% 14.00/13.84 ** KEPT (pick-wt=10): 117 [copy,116,flip.1] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=B|A=nil_Ar126264853le_alt.
% 14.00/13.84 ** KEPT (pick-wt=10): 119 [copy,118,flip.1] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=B|A!=nil_Ar126264853le_alt.
% 14.00/13.84 ** KEPT (pick-wt=10): 121 [copy,120,flip.1] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=B|A=nil_nat.
% 14.00/13.84 ** KEPT (pick-wt=10): 123 [copy,122,flip.1] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=B|A!=nil_nat.
% 14.00/13.84 Following clause subsumed by 97 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=nil_Ar126264853le_alt|A=nil_Ar126264853le_alt.
% 14.00/13.84 Following clause subsumed by 99 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=nil_Ar126264853le_alt|B=nil_Ar126264853le_alt.
% 14.00/13.84 Following clause subsumed by 101 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=nil_Ar126264853le_alt|A!=nil_Ar126264853le_alt|B!=nil_Ar126264853le_alt.
% 14.00/13.84 Following clause subsumed by 103 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=nil_nat|A=nil_nat.
% 14.00/13.84 Following clause subsumed by 105 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=nil_nat|B=nil_nat.
% 14.00/13.84 Following clause subsumed by 107 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=nil_nat|A!=nil_nat|B!=nil_nat.
% 14.00/13.84 Following clause subsumed by 109 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=A|B=nil_Ar126264853le_alt.
% 14.00/13.84 Following clause subsumed by 111 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=A|B!=nil_Ar126264853le_alt.
% 14.00/13.84 Following clause subsumed by 113 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=A|B=nil_nat.
% 14.00/13.84 Following clause subsumed by 115 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=A|B!=nil_nat.
% 14.00/13.84 Following clause subsumed by 117 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=B|A=nil_Ar126264853le_alt.
% 14.00/13.84 Following clause subsumed by 119 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=B|A!=nil_Ar126264853le_alt.
% 14.00/13.84 Following clause subsumed by 121 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=B|A=nil_nat.
% 14.00/13.84 Following clause subsumed by 123 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=B|A!=nil_nat.
% 14.00/13.84 ** KEPT (pick-wt=10): 124 [] A!=B|A=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,nil_Ar126264853le_alt),B).
% 14.00/13.84 ** KEPT (pick-wt=10): 125 [] A!=B|A=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,nil_nat),B).
% 14.00/13.84 ** KEPT (pick-wt=14): 126 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))!=C|C!=nil_bool.
% 14.00/13.84 ** KEPT (pick-wt=15): 127 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))!=C|butlast_bool(C)=A.
% 14.00/13.84 ** KEPT (pick-wt=17): 128 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))!=C| -hBOOL(hAPP_list_bool_bool(last_bool,C))|hBOOL(B).
% 14.00/13.84 ** KEPT (pick-wt=17): 129 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))!=C|hBOOL(hAPP_list_bool_bool(last_bool,C))| -hBOOL(B).
% 14.00/13.84 ** KEPT (pick-wt=24): 130 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))=C|C=nil_bool|butlast_bool(C)!=A|hBOOL(hAPP_list_bool_bool(last_bool,C))|hBOOL(B).
% 14.00/13.84 ** KEPT (pick-wt=24): 131 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))=C|C=nil_bool|butlast_bool(C)!=A| -hBOOL(hAPP_list_bool_bool(last_bool,C))| -hBOOL(B).
% 14.00/13.84 ** KEPT (pick-wt=16): 132 [] -is_Arr1861959080le_alt(A)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt))!=C|C!=nil_Ar126264853le_alt.
% 14.00/13.84 ** KEPT (pick-wt=17): 133 [] -is_Arr1861959080le_alt(A)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt))!=C|butlas1262502241le_alt(C)=B.
% 14.00/13.84 ** KEPT (pick-wt=18): 134 [] -is_Arr1861959080le_alt(A)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt))!=C|hAPP_l1105242632le_alt(last_A57386030le_alt,C)=A.
% 14.00/13.84 ** KEPT (pick-wt=25): 135 [] -is_Arr1861959080le_alt(A)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt))=C|C=nil_Ar126264853le_alt|butlas1262502241le_alt(C)!=B|hAPP_l1105242632le_alt(last_A57386030le_alt,C)!=A.
% 14.00/13.84 ** KEPT (pick-wt=14): 136 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat))!=C|C!=nil_nat.
% 14.00/13.84 ** KEPT (pick-wt=15): 137 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat))!=C|butlast_nat(C)=A.
% 14.00/13.84 ** KEPT (pick-wt=16): 138 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat))!=C|hAPP_list_nat_nat(last_nat,C)=B.
% 14.00/13.84 ** KEPT (pick-wt=23): 139 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat))=C|C=nil_nat|butlast_nat(C)!=A|hAPP_list_nat_nat(last_nat,C)!=B.
% 14.00/13.84 ** KEPT (pick-wt=25): 141 [copy,140,flip.3] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|A=nil_bool|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),$f24(A,B,C,D))=A.
% 14.00/13.84 ** KEPT (pick-wt=25): 142 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|A=nil_bool|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f24(A,B,C,D)),B)=D.
% 14.00/13.84 ** KEPT (pick-wt=29): 144 [copy,143,flip.3] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|B=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),$f24(A,B,C,D))=A.
% 14.00/13.84 ** KEPT (pick-wt=29): 145 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|B=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f24(A,B,C,D)),B)=D.
% 14.00/13.84 ** KEPT (pick-wt=21): 146 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),B)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|A!=nil_bool|B!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D).
% 14.00/13.84 ** KEPT (pick-wt=25): 147 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),B)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|A!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),E)|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,E),B)!=D.
% 14.00/13.84 ** KEPT (pick-wt=25): 149 [copy,148,flip.3] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|A=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),$f25(A,B,C,D))=A.
% 14.00/13.84 ** KEPT (pick-wt=25): 150 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|A=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f25(A,B,C,D)),B)=D.
% 14.00/13.84 ** KEPT (pick-wt=29): 152 [copy,151,flip.3] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|B=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),$f25(A,B,C,D))=A.
% 14.00/13.84 ** KEPT (pick-wt=29): 153 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|B=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f25(A,B,C,D)),B)=D.
% 14.00/13.84 ** KEPT (pick-wt=21): 154 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|A!=nil_Ar126264853le_alt|B!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D).
% 14.00/13.84 ** KEPT (pick-wt=25): 155 [] hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|A!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),E)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,E),B)!=D.
% 14.00/13.84 ** KEPT (pick-wt=25): 157 [copy,156,flip.3] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|A=nil_nat|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),$f26(A,B,C,D))=A.
% 14.00/13.84 ** KEPT (pick-wt=25): 158 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|A=nil_nat|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f26(A,B,C,D)),B)=D.
% 14.00/13.84 ** KEPT (pick-wt=29): 160 [copy,159,flip.3] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|B=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),$f26(A,B,C,D))=A.
% 14.00/13.84 ** KEPT (pick-wt=29): 161 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|B=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f26(A,B,C,D)),B)=D.
% 14.00/13.84 ** KEPT (pick-wt=21): 162 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|A!=nil_nat|B!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D).
% 14.00/13.84 ** KEPT (pick-wt=25): 163 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|A!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),E)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,E),B)!=D.
% 14.00/13.84 ** KEPT (pick-wt=25): 164 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),D)|C=nil_bool|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),$f27(A,B,C,D))=C.
% 14.00/13.84 ** KEPT (pick-wt=25): 166 [copy,165,flip.3] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),D)|C=nil_bool|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f27(A,B,C,D)),D)=B.
% 14.00/13.84 ** KEPT (pick-wt=29): 167 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),D)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)=D|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),$f27(A,B,C,D))=C.
% 14.00/13.84 ** KEPT (pick-wt=29): 169 [copy,168,flip.3] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),D)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)=D|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f27(A,B,C,D)),D)=B.
% 14.00/13.84 ** KEPT (pick-wt=21): 170 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),D)|C!=nil_bool|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=D.
% 14.00/13.84 Following clause subsumed by 93 during input processing: 0 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),D)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),E)!=C|B!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,E),D).
% 14.00/13.84 ** KEPT (pick-wt=25): 171 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|C=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),$f28(A,B,C,D))=C.
% 14.00/13.84 ** KEPT (pick-wt=25): 173 [copy,172,flip.3] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|C=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f28(A,B,C,D)),D)=B.
% 14.00/13.84 ** KEPT (pick-wt=29): 174 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)=D|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),$f28(A,B,C,D))=C.
% 14.00/13.84 ** KEPT (pick-wt=29): 176 [copy,175,flip.3] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)=D|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f28(A,B,C,D)),D)=B.
% 14.00/13.84 ** KEPT (pick-wt=21): 177 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|C!=nil_Ar126264853le_alt|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=D.
% 14.00/13.84 Following clause subsumed by 94 during input processing: 0 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),E)!=C|B!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,E),D).
% 14.00/13.84 ** KEPT (pick-wt=25): 178 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|C=nil_nat|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),$f29(A,B,C,D))=C.
% 14.00/13.84 ** KEPT (pick-wt=25): 180 [copy,179,flip.3] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|C=nil_nat|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f29(A,B,C,D)),D)=B.
% 14.00/13.84 ** KEPT (pick-wt=29): 181 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)=D|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),$f29(A,B,C,D))=C.
% 14.00/13.84 ** KEPT (pick-wt=29): 183 [copy,182,flip.3] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)=D|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f29(A,B,C,D)),D)=B.
% 14.00/13.84 ** KEPT (pick-wt=21): 184 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|C!=nil_nat|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=D.
% 14.00/13.84 Following clause subsumed by 95 during input processing: 0 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),E)!=C|B!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,E),D).
% 14.00/13.84 ** KEPT (pick-wt=22): 185 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,D),nil_bool))|A=C.
% 14.00/13.84 ** KEPT (pick-wt=23): 186 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,D),nil_bool))| -hBOOL(B)|hBOOL(D).
% 14.00/13.84 ** KEPT (pick-wt=23): 187 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,D),nil_bool))|hBOOL(B)| -hBOOL(D).
% 14.00/13.84 ** KEPT (pick-wt=26): 188 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,D),nil_bool))|A!=C|hBOOL(B)|hBOOL(D).
% 14.00/13.84 ** KEPT (pick-wt=26): 189 [] hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,D),nil_bool))|A!=C| -hBOOL(B)| -hBOOL(D).
% 14.00/13.84 ** KEPT (pick-wt=26): 190 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt))!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,D),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt))|C=D.
% 14.00/13.84 ** KEPT (pick-wt=26): 191 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt))!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,D),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt))|A=B.
% 14.00/13.84 ** KEPT (pick-wt=29): 192 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,D),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt))|C!=D|A!=B.
% 14.00/13.84 ** KEPT (pick-wt=22): 193 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat))!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,D),nil_nat))|A=C.
% 14.00/13.84 ** KEPT (pick-wt=22): 194 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat))!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,D),nil_nat))|B=D.
% 14.00/13.84 ** KEPT (pick-wt=25): 195 [] hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,D),nil_nat))|A!=C|B!=D.
% 14.00/13.84 ** KEPT (pick-wt=12): 196 [] A!=nil_Ar126264853le_alt|butlas1262502241le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),A))=butlas1262502241le_alt(B).
% 14.00/13.84 ** KEPT (pick-wt=12): 197 [] A!=nil_nat|butlast_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),A))=butlast_nat(B).
% 14.00/13.84 ** KEPT (pick-wt=12): 198 [] A=nil_nat| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,A))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,butlast_nat(A))).
% 14.00/13.84 Following clause subsumed by 58 during input processing: 0 [] -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))|B!=nil_bool|hBOOL(A).
% 14.00/13.84 ** KEPT (pick-wt=15): 199 [] -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))|B=nil_bool|hBOOL(hAPP_list_bool_bool(last_bool,B)).
% 14.00/13.84 ** KEPT (pick-wt=15): 200 [] hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))|B=nil_bool| -hBOOL(hAPP_list_bool_bool(last_bool,B)).
% 14.00/13.84 Following clause subsumed by 59 during input processing: 0 [] hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))| -hBOOL(A)|B!=nil_bool.
% 14.00/13.84 ** KEPT (pick-wt=14): 201 [] hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))| -hBOOL(A)| -hBOOL(hAPP_list_bool_bool(last_bool,B)).
% 14.00/13.84 Following clause subsumed by 60 during input processing: 0 [] -is_Arr1861959080le_alt(A)|B!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))=A.
% 14.00/13.84 ** KEPT (pick-wt=16): 202 [] -is_Arr1861959080le_alt(A)|B=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))=hAPP_l1105242632le_alt(last_A57386030le_alt,B).
% 14.00/13.84 Following clause subsumed by 61 during input processing: 0 [] A!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),A))=B.
% 14.00/13.84 Following clause subsumed by 199 during input processing: 0 [] A=nil_bool| -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),A)))|hBOOL(hAPP_list_bool_bool(last_bool,A)).
% 14.00/13.84 Following clause subsumed by 200 during input processing: 0 [] A=nil_bool|hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),A)))| -hBOOL(hAPP_list_bool_bool(last_bool,A)).
% 14.00/13.84 ** KEPT (pick-wt=12): 203 [] -hBOOL(hAPP_list_bool_bool(A,nil_bool))|is_bool($f31(B,A))|hBOOL(hAPP_list_bool_bool(A,B)).
% 14.00/13.84 ** KEPT (pick-wt=14): 204 [] -hBOOL(hAPP_list_bool_bool(A,nil_bool))|hBOOL(hAPP_list_bool_bool(A,$f30(B,A)))|hBOOL(hAPP_list_bool_bool(A,B)).
% 14.00/13.84 ** KEPT (pick-wt=24): 205 [] -hBOOL(hAPP_list_bool_bool(A,nil_bool))| -hBOOL(hAPP_list_bool_bool(A,hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,$f30(B,A)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f31(B,A)),nil_bool))))|hBOOL(hAPP_list_bool_bool(A,B)).
% 14.00/13.84 ** KEPT (pick-wt=12): 206 [] -hBOOL(hAPP_l1386638586t_bool(A,nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f33(B,A))|hBOOL(hAPP_l1386638586t_bool(A,B)).
% 14.00/13.84 ** KEPT (pick-wt=14): 207 [] -hBOOL(hAPP_l1386638586t_bool(A,nil_Ar126264853le_alt))|hBOOL(hAPP_l1386638586t_bool(A,$f32(B,A)))|hBOOL(hAPP_l1386638586t_bool(A,B)).
% 14.00/13.84 ** KEPT (pick-wt=24): 208 [] -hBOOL(hAPP_l1386638586t_bool(A,nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(A,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,$f32(B,A)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f33(B,A)),nil_Ar126264853le_alt))))|hBOOL(hAPP_l1386638586t_bool(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=14): 209 [] -hBOOL(hAPP_list_nat_bool(A,nil_nat))|hBOOL(hAPP_list_nat_bool(A,$f34(B,A)))|hBOOL(hAPP_list_nat_bool(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=24): 210 [] -hBOOL(hAPP_list_nat_bool(A,nil_nat))| -hBOOL(hAPP_list_nat_bool(A,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,$f34(B,A)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f35(B,A)),nil_nat))))|hBOOL(hAPP_list_nat_bool(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=10): 211 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,A),nil_Ar126264853le_alt))|hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,A)).
% 14.00/13.85 ** KEPT (pick-wt=10): 212 [] hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,A),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,A)).
% 14.00/13.85 ** KEPT (pick-wt=10): 213 [] -hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,A),nil_nat))|hBOOL(hAPP_list_nat_bool(null_nat,A)).
% 14.00/13.85 ** KEPT (pick-wt=10): 214 [] hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,A),nil_nat))| -hBOOL(hAPP_list_nat_bool(null_nat,A)).
% 14.00/13.85 ** KEPT (pick-wt=20): 215 [] rev_bool(A)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),C)|A=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,rev_bool(C)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool)).
% 14.00/13.85 ** KEPT (pick-wt=20): 216 [] rev_bool(A)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),C)|A!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,rev_bool(C)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool)).
% 14.00/13.85 ** KEPT (pick-wt=20): 217 [] rev_Ar2093961333le_alt(A)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C)|A=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(C)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt)).
% 14.00/13.85 ** KEPT (pick-wt=20): 218 [] rev_Ar2093961333le_alt(A)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C)|A!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,rev_Ar2093961333le_alt(C)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt)).
% 14.00/13.85 ** KEPT (pick-wt=20): 219 [] rev_nat(A)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C)|A=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(C)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat)).
% 14.00/13.85 ** KEPT (pick-wt=20): 220 [] rev_nat(A)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C)|A!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,rev_nat(C)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat)).
% 14.00/13.85 ** KEPT (pick-wt=14): 221 [] A!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,B).
% 14.00/13.85 ** KEPT (pick-wt=14): 222 [] A!=nil_nat|hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B))=hAPP_list_nat_nat(hd_nat,B).
% 14.00/13.85 ** KEPT (pick-wt=8): 223 [] rev_nat(A)!=rev_nat(B)|A=B.
% 14.00/13.85 ** KEPT (pick-wt=8): 224 [] rev_nat(A)=rev_nat(B)|A!=B.
% 14.00/13.85 ** KEPT (pick-wt=8): 225 [] rev_Ar2093961333le_alt(A)!=rev_Ar2093961333le_alt(B)|A=B.
% 14.00/13.85 ** KEPT (pick-wt=8): 226 [] rev_Ar2093961333le_alt(A)=rev_Ar2093961333le_alt(B)|A!=B.
% 14.00/13.85 ** KEPT (pick-wt=8): 227 [] rev_nat(A)!=B|A=rev_nat(B).
% 14.00/13.85 ** KEPT (pick-wt=8): 228 [] rev_nat(A)=B|A!=rev_nat(B).
% 14.00/13.85 ** KEPT (pick-wt=8): 229 [] rev_Ar2093961333le_alt(A)!=B|A=rev_Ar2093961333le_alt(B).
% 14.00/13.85 ** KEPT (pick-wt=8): 230 [] rev_Ar2093961333le_alt(A)=B|A!=rev_Ar2093961333le_alt(B).
% 14.00/13.85 ** KEPT (pick-wt=10): 231 [] -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),B))|hBOOL(hAPP_A862370221t_bool(B,A)).
% 14.00/13.85 ** KEPT (pick-wt=10): 232 [] hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),B))| -hBOOL(hAPP_A862370221t_bool(B,A)).
% 14.00/13.85 ** KEPT (pick-wt=10): 233 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|hBOOL(hAPP_nat_bool(B,A)).
% 14.00/13.85 ** KEPT (pick-wt=10): 234 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))| -hBOOL(hAPP_nat_bool(B,A)).
% 14.00/13.85 ** KEPT (pick-wt=9): 235 [] -hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,A),B))|A=B.
% 14.00/13.85 ** KEPT (pick-wt=9): 236 [] hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,A),B))|A!=B.
% 14.00/13.85 ** KEPT (pick-wt=9): 237 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,A),B))|A=B.
% 14.00/13.85 ** KEPT (pick-wt=9): 238 [] hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,A),B))|A!=B.
% 14.00/13.85 ** KEPT (pick-wt=7): 239 [] rev_Ar2093961333le_alt(A)!=nil_Ar126264853le_alt|A=nil_Ar126264853le_alt.
% 14.00/13.85 ** KEPT (pick-wt=7): 240 [] rev_Ar2093961333le_alt(A)=nil_Ar126264853le_alt|A!=nil_Ar126264853le_alt.
% 14.00/13.85 ** KEPT (pick-wt=7): 241 [] rev_nat(A)!=nil_nat|A=nil_nat.
% 14.00/13.85 ** KEPT (pick-wt=7): 242 [] rev_nat(A)=nil_nat|A!=nil_nat.
% 14.00/13.85 Following clause subsumed by 239 during input processing: 0 [flip.1] rev_Ar2093961333le_alt(A)!=nil_Ar126264853le_alt|A=nil_Ar126264853le_alt.
% 14.00/13.85 Following clause subsumed by 240 during input processing: 0 [flip.1] rev_Ar2093961333le_alt(A)=nil_Ar126264853le_alt|A!=nil_Ar126264853le_alt.
% 14.00/13.85 Following clause subsumed by 241 during input processing: 0 [flip.1] rev_nat(A)!=nil_nat|A=nil_nat.
% 14.00/13.85 Following clause subsumed by 242 during input processing: 0 [flip.1] rev_nat(A)=nil_nat|A!=nil_nat.
% 14.00/13.85 ** KEPT (pick-wt=9): 243 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rev_Ar2093961333le_alt(A)))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A)).
% 14.00/13.85 ** KEPT (pick-wt=9): 244 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rev_Ar2093961333le_alt(A)))| -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A)).
% 14.00/13.85 ** KEPT (pick-wt=9): 245 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,rev_nat(A)))|hBOOL(hAPP_list_nat_bool(distinct_nat,A)).
% 14.00/13.85 ** KEPT (pick-wt=9): 246 [] hBOOL(hAPP_list_nat_bool(distinct_nat,rev_nat(A)))| -hBOOL(hAPP_list_nat_bool(distinct_nat,A)).
% 14.00/13.85 ** KEPT (pick-wt=10): 247 [] -hBOOL(hAPP_list_bool_bool(hd_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))|hBOOL(A).
% 14.00/13.85 ** KEPT (pick-wt=10): 248 [] hBOOL(hAPP_list_bool_bool(hd_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))| -hBOOL(A).
% 14.00/13.85 ** KEPT (pick-wt=11): 249 [] -is_Arr1861959080le_alt(A)|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))=A.
% 14.00/13.85 ** KEPT (pick-wt=9): 250 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,tl_Arr1453005548le_alt(A))).
% 14.00/13.85 ** KEPT (pick-wt=9): 251 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,A))|hBOOL(hAPP_list_nat_bool(distinct_nat,tl_nat(A))).
% 14.00/13.85 ** KEPT (pick-wt=9): 252 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,A))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,tl_nat(A))).
% 14.00/13.85 ** KEPT (pick-wt=7): 253 [] rotate1322903650le_alt(A)!=nil_Ar126264853le_alt|A=nil_Ar126264853le_alt.
% 14.00/13.85 ** KEPT (pick-wt=7): 254 [] rotate1322903650le_alt(A)=nil_Ar126264853le_alt|A!=nil_Ar126264853le_alt.
% 14.00/13.85 ** KEPT (pick-wt=7): 255 [] rotate1_nat(A)!=nil_nat|A=nil_nat.
% 14.00/13.85 ** KEPT (pick-wt=7): 256 [] rotate1_nat(A)=nil_nat|A!=nil_nat.
% 14.00/13.85 ** KEPT (pick-wt=9): 257 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rotate1322903650le_alt(A)))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A)).
% 14.00/13.85 ** KEPT (pick-wt=9): 258 [] hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,rotate1322903650le_alt(A)))| -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A)).
% 14.00/13.85 ** KEPT (pick-wt=9): 259 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,rotate1_nat(A)))|hBOOL(hAPP_list_nat_bool(distinct_nat,A)).
% 14.00/13.85 ** KEPT (pick-wt=9): 260 [] hBOOL(hAPP_list_nat_bool(distinct_nat,rotate1_nat(A)))| -hBOOL(hAPP_list_nat_bool(distinct_nat,A)).
% 14.00/13.85 ** KEPT (pick-wt=15): 261 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),nil_bool)!=rev_bool(B)|B=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),nil_bool).
% 14.00/13.85 ** KEPT (pick-wt=15): 262 [] hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),nil_bool)=rev_bool(B)|B!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),nil_bool).
% 14.00/13.85 ** KEPT (pick-wt=15): 263 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt)!=rev_Ar2093961333le_alt(B)|B=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt).
% 14.00/13.85 ** KEPT (pick-wt=15): 264 [] hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt)=rev_Ar2093961333le_alt(B)|B!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt).
% 14.00/13.85 ** KEPT (pick-wt=15): 265 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),nil_nat)!=rev_nat(B)|B=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),nil_nat).
% 14.00/13.85 ** KEPT (pick-wt=15): 266 [] hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),nil_nat)=rev_nat(B)|B!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),nil_nat).
% 14.00/13.85 ** KEPT (pick-wt=15): 267 [] rev_bool(A)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool)|A=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool).
% 14.00/13.85 ** KEPT (pick-wt=15): 268 [] rev_bool(A)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool)|A!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool).
% 14.00/13.85 ** KEPT (pick-wt=15): 269 [] rev_Ar2093961333le_alt(A)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt)|A=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt).
% 14.00/13.85 ** KEPT (pick-wt=15): 270 [] rev_Ar2093961333le_alt(A)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt)|A!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt).
% 14.00/13.85 ** KEPT (pick-wt=15): 271 [] rev_nat(A)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat)|A=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat).
% 14.00/13.85 ** KEPT (pick-wt=15): 272 [] rev_nat(A)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat)|A!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat).
% 14.00/13.85 Following clause subsumed by 235 during input processing: 0 [] -hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,A),B))|A=B.
% 14.00/13.85 Following clause subsumed by 236 during input processing: 0 [] hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(e_qual_e_qual_list_nat,A),B))|A!=B.
% 14.00/13.85 Following clause subsumed by 237 during input processing: 0 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,A),B))|A=B.
% 14.00/13.85 Following clause subsumed by 238 during input processing: 0 [] hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(e_qual_499625528le_alt,A),B))|A!=B.
% 14.00/13.85 ** KEPT (pick-wt=13): 273 [] dropWh156852662le_alt(A,B)=nil_Ar126264853le_alt| -hBOOL(hAPP_A862370221t_bool(A,hAPP_l1105242632le_alt(hd_Arr805754088le_alt,dropWh156852662le_alt(A,B)))).
% 14.00/13.85 ** KEPT (pick-wt=13): 274 [] dropWhile_nat(A,B)=nil_nat| -hBOOL(hAPP_nat_bool(A,hAPP_list_nat_nat(hd_nat,dropWhile_nat(A,B)))).
% 14.00/13.85 ** KEPT (pick-wt=5): 275 [] -hBOOL(hAPP_l1386638586t_bool(list_e1226799320le_alt(A),nil_Ar126264853le_alt)).
% 14.00/13.85 ** KEPT (pick-wt=5): 276 [] -hBOOL(hAPP_list_nat_bool(list_ex1_nat(A),nil_nat)).
% 14.00/13.85 ** KEPT (pick-wt=6): 277 [] -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,nil_Ar126264853le_alt),A)).
% 14.00/13.85 ** KEPT (pick-wt=6): 278 [] -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,nil_nat),A)).
% 14.00/13.85 ** KEPT (pick-wt=14): 279 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hBOOL(hAPP_list_bool_bool(listMem_bool(A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),B))).
% 14.00/13.85 ** KEPT (pick-wt=14): 280 [] -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),B))).
% 14.00/13.85 ** KEPT (pick-wt=14): 281 [] -hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|hBOOL(hAPP_list_nat_bool(listMem_nat(A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),B))).
% 14.00/13.85 ** KEPT (pick-wt=20): 282 [] -hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)),C))| -hBOOL(A)|hBOOL(C)|hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,B),C)).
% 14.00/13.85 ** KEPT (pick-wt=20): 283 [] -hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)),C))|hBOOL(A)| -hBOOL(C)|hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,B),C)).
% 14.00/13.85 ** KEPT (pick-wt=14): 284 [] hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)),C))| -hBOOL(A)| -hBOOL(C).
% 14.00/13.85 ** KEPT (pick-wt=16): 285 [] hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)),C))| -hBOOL(hAPP_bool_bool(hAPP_l96088310l_bool(member_bool_1,B),C)).
% 14.00/13.85 ** KEPT (pick-wt=23): 286 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)| -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),C)),B))|A=B|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,C),B)).
% 14.00/13.85 ** KEPT (pick-wt=17): 287 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),C)),B))|A!=B.
% 14.00/13.85 ** KEPT (pick-wt=20): 288 [] -is_Arr1861959080le_alt(A)| -is_Arr1861959080le_alt(B)|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),C)),B))| -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,C),B)).
% 14.00/13.85 ** KEPT (pick-wt=19): 289 [] -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)),C))|A=C|hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,B),C)).
% 14.00/13.85 ** KEPT (pick-wt=13): 290 [] hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)),C))|A!=C.
% 14.00/13.85 ** KEPT (pick-wt=16): 291 [] hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)),C))| -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,B),C)).
% 14.00/13.85 ** KEPT (pick-wt=15): 292 [] -hBOOL(hAPP_bool_bool(A,B))|dropWhile_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),C))=dropWhile_bool(A,C).
% 14.00/13.85 ** KEPT (pick-wt=15): 293 [] -hBOOL(hAPP_A862370221t_bool(A,B))|dropWh156852662le_alt(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C))=dropWh156852662le_alt(A,C).
% 14.00/13.85 ** KEPT (pick-wt=15): 294 [] -hBOOL(hAPP_nat_bool(A,B))|dropWhile_nat(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C))=dropWhile_nat(A,C).
% 14.00/13.85 ** KEPT (pick-wt=10): 295 [] -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A))|hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,dropWh156852662le_alt(B,A))).
% 14.00/13.85 ** KEPT (pick-wt=10): 296 [] -hBOOL(hAPP_list_nat_bool(distinct_nat,A))|hBOOL(hAPP_list_nat_bool(distinct_nat,dropWhile_nat(B,A))).
% 14.00/13.85 ** KEPT (pick-wt=10): 297 [] -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,A))|hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,dropWhile_nat(B,A))).
% 14.00/13.85 ** KEPT (pick-wt=22): 299 [copy,298,flip.2] dropWhile_bool(A,B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,takeWhile_bool(A,B)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D))=B.
% 14.00/13.85 ** KEPT (pick-wt=13): 300 [] dropWhile_bool(A,B)!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)| -hBOOL(hAPP_bool_bool(A,C)).
% 14.00/13.85 ** KEPT (pick-wt=26): 302 [copy,301,flip.2] dropWhile_bool(A,B)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D)|hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,takeWhile_bool(A,B)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D))!=B|hBOOL(hAPP_bool_bool(A,C)).
% 14.00/13.85 ** KEPT (pick-wt=22): 304 [copy,303,flip.2] dropWh156852662le_alt(A,B)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,takeWh536362254le_alt(A,B)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D))=B.
% 14.00/13.85 ** KEPT (pick-wt=13): 305 [] dropWh156852662le_alt(A,B)!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)| -hBOOL(hAPP_A862370221t_bool(A,C)).
% 14.00/13.85 ** KEPT (pick-wt=26): 307 [copy,306,flip.2] dropWh156852662le_alt(A,B)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,takeWh536362254le_alt(A,B)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D))!=B|hBOOL(hAPP_A862370221t_bool(A,C)).
% 14.00/13.85 ** KEPT (pick-wt=22): 309 [copy,308,flip.2] dropWhile_nat(A,B)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,takeWhile_nat(A,B)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D))=B.
% 14.00/13.85 ** KEPT (pick-wt=13): 310 [] dropWhile_nat(A,B)!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)| -hBOOL(hAPP_nat_bool(A,C)).
% 14.00/13.85 ** KEPT (pick-wt=26): 312 [copy,311,flip.2] dropWhile_nat(A,B)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,takeWhile_nat(A,B)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D))!=B|hBOOL(hAPP_nat_bool(A,C)).
% 14.00/13.85 ** KEPT (pick-wt=13): 313 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|is_bool($f55(A,B))|is_bool($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=13): 314 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|is_bool($f55(A,B))|is_bool($f56(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=15): 315 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|is_bool($f55(A,B))| -hBOOL(A)|hBOOL($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=15): 316 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|is_bool($f55(A,B))|hBOOL(A)| -hBOOL($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=20): 318 [copy,317,flip.3] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|is_bool($f55(A,B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f56(A,B)),$f57(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=18): 319 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|is_bool($f55(A,B))|hBOOL(hAPP_list_bool_bool(listMem_bool($f58(A,B)),$f57(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=15): 320 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -hBOOL(A)|hBOOL($f55(A,B))|is_bool($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=15): 321 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -hBOOL(A)|hBOOL($f55(A,B))|is_bool($f56(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=15): 322 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -hBOOL(A)|hBOOL($f55(A,B))|hBOOL($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=22): 324 [copy,323,flip.4] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -hBOOL(A)|hBOOL($f55(A,B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f56(A,B)),$f57(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=20): 325 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -hBOOL(A)|hBOOL($f55(A,B))|hBOOL(hAPP_list_bool_bool(listMem_bool($f58(A,B)),$f57(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=15): 326 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hBOOL(A)| -hBOOL($f55(A,B))|is_bool($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=15): 327 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hBOOL(A)| -hBOOL($f55(A,B))|is_bool($f56(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=15): 328 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hBOOL(A)| -hBOOL($f55(A,B))| -hBOOL($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=22): 330 [copy,329,flip.4] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hBOOL(A)| -hBOOL($f55(A,B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f56(A,B)),$f57(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=20): 331 [] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hBOOL(A)| -hBOOL($f55(A,B))|hBOOL(hAPP_list_bool_bool(listMem_bool($f58(A,B)),$f57(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=20): 333 [copy,332,flip.2] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A,B)),$f54(A,B))=B|is_bool($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=20): 335 [copy,334,flip.2] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A,B)),$f54(A,B))=B|is_bool($f56(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=22): 337 [copy,336,flip.2] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A,B)),$f54(A,B))=B| -hBOOL(A)|hBOOL($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=22): 339 [copy,338,flip.2] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A,B)),$f54(A,B))=B|hBOOL(A)| -hBOOL($f58(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=27): 341 [copy,340,flip.2,flip.3] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A,B)),$f54(A,B))=B|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f56(A,B)),$f57(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=25): 343 [copy,342,flip.2] -hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f55(A,B)),$f54(A,B))=B|hBOOL(hAPP_list_bool_bool(listMem_bool($f58(A,B)),$f57(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=18): 344 [] hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -is_bool(C)|hBOOL(A)|hBOOL(C)|B!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D).
% 14.00/13.85 ** KEPT (pick-wt=18): 345 [] hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -is_bool(C)| -hBOOL(A)| -hBOOL(C)|B!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),D).
% 14.00/13.85 ** KEPT (pick-wt=25): 346 [] hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -is_bool(C)| -is_bool(D)|hBOOL(A)|hBOOL(C)|B!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,D),E)| -hBOOL(hAPP_list_bool_bool(listMem_bool(C),E)).
% 14.00/13.85 ** KEPT (pick-wt=25): 347 [] hBOOL(hAPP_list_bool_bool(listMem_bool(A),B))| -is_bool(C)| -is_bool(D)| -hBOOL(A)| -hBOOL(C)|B!=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,D),E)| -hBOOL(hAPP_list_bool_bool(listMem_bool(C),E)).
% 14.00/13.85 ** KEPT (pick-wt=15): 348 [] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|is_Arr1861959080le_alt($f60(A,B))|is_Arr1861959080le_alt($f63(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=15): 349 [] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|is_Arr1861959080le_alt($f60(A,B))|is_Arr1861959080le_alt($f61(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=16): 351 [copy,350,flip.4] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|is_Arr1861959080le_alt($f60(A,B))|$f63(A,B)=A.
% 14.00/13.85 ** KEPT (pick-wt=22): 353 [copy,352,flip.4] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|is_Arr1861959080le_alt($f60(A,B))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f61(A,B)),$f62(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=20): 354 [] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|is_Arr1861959080le_alt($f60(A,B))|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt($f63(A,B)),$f62(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=16): 356 [copy,355,flip.3] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|$f60(A,B)=A|is_Arr1861959080le_alt($f63(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=16): 358 [copy,357,flip.3] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|$f60(A,B)=A|is_Arr1861959080le_alt($f61(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=17): 360 [copy,359,flip.3,flip.4] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|$f60(A,B)=A|$f63(A,B)=A.
% 14.00/13.85 ** KEPT (pick-wt=23): 362 [copy,361,flip.3,flip.4] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|$f60(A,B)=A|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f61(A,B)),$f62(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=21): 364 [copy,363,flip.3] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|$f60(A,B)=A|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt($f63(A,B)),$f62(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=22): 366 [copy,365,flip.3] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A,B)),$f59(A,B))=B|is_Arr1861959080le_alt($f63(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=22): 368 [copy,367,flip.3] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A,B)),$f59(A,B))=B|is_Arr1861959080le_alt($f61(A,B)).
% 14.00/13.85 ** KEPT (pick-wt=23): 370 [copy,369,flip.3,flip.4] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A,B)),$f59(A,B))=B|$f63(A,B)=A.
% 14.00/13.85 ** KEPT (pick-wt=29): 372 [copy,371,flip.3,flip.4] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A,B)),$f59(A,B))=B|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f61(A,B)),$f62(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=27): 374 [copy,373,flip.3] -is_Arr1861959080le_alt(A)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f60(A,B)),$f59(A,B))=B|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt($f63(A,B)),$f62(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=19): 375 [] -is_Arr1861959080le_alt(A)|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))| -is_Arr1861959080le_alt(C)|A!=C|B!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D).
% 14.00/13.85 ** KEPT (pick-wt=26): 376 [] -is_Arr1861959080le_alt(A)|hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(A),B))| -is_Arr1861959080le_alt(C)| -is_Arr1861959080le_alt(D)|A!=C|B!=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,D),E)| -hBOOL(hAPP_l1386638586t_bool(listMe1065601537le_alt(C),E)).
% 14.00/13.85 ** KEPT (pick-wt=15): 378 [copy,377,flip.2,flip.3] -hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|$f65(A,B)=A|$f68(A,B)=A.
% 14.00/13.85 ** KEPT (pick-wt=21): 380 [copy,379,flip.2,flip.3] -hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|$f65(A,B)=A|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f66(A,B)),$f67(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=19): 382 [copy,381,flip.2] -hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|$f65(A,B)=A|hBOOL(hAPP_list_nat_bool(listMem_nat($f68(A,B)),$f67(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=21): 384 [copy,383,flip.2,flip.3] -hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f65(A,B)),$f64(A,B))=B|$f68(A,B)=A.
% 14.00/13.85 ** KEPT (pick-wt=27): 386 [copy,385,flip.2,flip.3] -hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f65(A,B)),$f64(A,B))=B|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f66(A,B)),$f67(A,B))=B.
% 14.00/13.85 ** KEPT (pick-wt=25): 388 [copy,387,flip.2] -hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f65(A,B)),$f64(A,B))=B|hBOOL(hAPP_list_nat_bool(listMem_nat($f68(A,B)),$f67(A,B))).
% 14.00/13.85 ** KEPT (pick-wt=15): 389 [] hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|A!=C|B!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D).
% 14.00/13.85 ** KEPT (pick-wt=20): 390 [] hBOOL(hAPP_list_nat_bool(listMem_nat(A),B))|A!=C|B!=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,D),E)| -hBOOL(hAPP_list_nat_bool(listMem_nat(C),E)).
% 14.00/13.85 ** KEPT (pick-wt=13): 391 [] -is_Arr1861959080le_alt(A)|B=zero_zero_nat|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_A832564074le_alt(replic351609551le_alt(B),A))=A.
% 14.00/13.85 ** KEPT (pick-wt=13): 392 [] -is_Arr1861959080le_alt(A)|B=zero_zero_nat|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_A832564074le_alt(replic351609551le_alt(B),A))=A.
% 14.00/13.85 ** KEPT (pick-wt=27): 393 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(B,C,A))|is_bool($f72(B,C,A))|is_Arr1861959080le_alt($f76(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.85 ** KEPT (pick-wt=27): 394 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(B,C,A))|is_bool($f72(B,C,A))|is_bool($f74(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.85 ** KEPT (pick-wt=34): 395 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(B,C,A))|is_bool($f72(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,$f75(B,C,A)),$f73(B,C,A)))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.85 ** KEPT (pick-wt=48): 396 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(B,C,A))|is_bool($f72(B,C,A))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f76(B,C,A)),$f75(B,C,A))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f74(B,C,A)),$f73(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 397 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(B,C,A))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(B,C,A)),$f71(B,C,A))))|is_Arr1861959080le_alt($f76(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 398 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(B,C,A))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(B,C,A)),$f71(B,C,A))))|is_bool($f74(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=45): 399 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(B,C,A))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(B,C,A)),$f71(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,$f75(B,C,A)),$f73(B,C,A)))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=59): 400 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))|is_Arr1861959080le_alt($f70(B,C,A))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(B,C,A)),$f71(B,C,A))))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f76(B,C,A)),$f75(B,C,A))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f74(B,C,A)),$f73(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 401 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(B,C,A)),$f69(B,C,A))),nil_bool))|is_bool($f72(B,C,A))|is_Arr1861959080le_alt($f76(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 402 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(B,C,A)),$f69(B,C,A))),nil_bool))|is_bool($f72(B,C,A))|is_bool($f74(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=45): 403 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(B,C,A)),$f69(B,C,A))),nil_bool))|is_bool($f72(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,$f75(B,C,A)),$f73(B,C,A)))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=59): 404 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(B,C,A)),$f69(B,C,A))),nil_bool))|is_bool($f72(B,C,A))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f76(B,C,A)),$f75(B,C,A))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f74(B,C,A)),$f73(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=49): 405 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(B,C,A)),$f69(B,C,A))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(B,C,A)),$f71(B,C,A))))|is_Arr1861959080le_alt($f76(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=49): 406 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(B,C,A)),$f69(B,C,A))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(B,C,A)),$f71(B,C,A))))|is_bool($f74(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=56): 407 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(B,C,A)),$f69(B,C,A))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(B,C,A)),$f71(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,$f75(B,C,A)),$f73(B,C,A)))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=70): 408 [] -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f70(B,C,A)),$f69(B,C,A))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,nil_Ar126264853le_alt),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f72(B,C,A)),$f71(B,C,A))))| -hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f76(B,C,A)),$f75(B,C,A))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f74(B,C,A)),$f73(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l273023249l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 409 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(B,C,A)),$f77(B,C,A))),nil_bool))|is_bool($f80(B,C,A))|is_bool($f82(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=45): 410 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(B,C,A)),$f77(B,C,A))),nil_bool))|is_bool($f80(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,$f83(B,C,A)),$f81(B,C,A)))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=59): 411 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(B,C,A)),$f77(B,C,A))),nil_bool))|is_bool($f80(B,C,A))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f84(B,C,A)),$f83(B,C,A))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f82(B,C,A)),$f81(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=49): 412 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(B,C,A)),$f77(B,C,A))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f80(B,C,A)),$f79(B,C,A))))|is_bool($f82(B,C,A))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=56): 413 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(B,C,A)),$f77(B,C,A))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f80(B,C,A)),$f79(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,$f83(B,C,A)),$f81(B,C,A)))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=70): 414 [] -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f78(B,C,A)),$f77(B,C,A))),nil_bool))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,nil_nat),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f80(B,C,A)),$f79(B,C,A))))| -hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f84(B,C,A)),$f83(B,C,A))),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f82(B,C,A)),$f81(B,C,A))))|hBOOL(hAPP_list_bool_bool(hAPP_l1101248310l_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=27): 415 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(B,C,A))|is_Arr1861959080le_alt($f88(B,C,A))|is_bool($f92(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=27): 416 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(B,C,A))|is_Arr1861959080le_alt($f88(B,C,A))|is_Arr1861959080le_alt($f90(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=34): 417 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(B,C,A))|is_Arr1861959080le_alt($f88(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,$f91(B,C,A)),$f89(B,C,A)))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=48): 418 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(B,C,A))|is_Arr1861959080le_alt($f88(B,C,A))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f92(B,C,A)),$f91(B,C,A))),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f90(B,C,A)),$f89(B,C,A))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 419 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(B,C,A))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(B,C,A)),$f87(B,C,A))))|is_bool($f92(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 420 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(B,C,A))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(B,C,A)),$f87(B,C,A))))|is_Arr1861959080le_alt($f90(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=45): 421 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(B,C,A))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(B,C,A)),$f87(B,C,A))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,$f91(B,C,A)),$f89(B,C,A)))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=59): 422 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))|is_bool($f86(B,C,A))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(B,C,A)),$f87(B,C,A))))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f92(B,C,A)),$f91(B,C,A))),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f90(B,C,A)),$f89(B,C,A))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 423 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(B,C,A)),$f85(B,C,A))),nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f88(B,C,A))|is_bool($f92(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 424 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(B,C,A)),$f85(B,C,A))),nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f88(B,C,A))|is_Arr1861959080le_alt($f90(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=45): 425 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(B,C,A)),$f85(B,C,A))),nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f88(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,$f91(B,C,A)),$f89(B,C,A)))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=59): 426 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(B,C,A)),$f85(B,C,A))),nil_Ar126264853le_alt))|is_Arr1861959080le_alt($f88(B,C,A))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f92(B,C,A)),$f91(B,C,A))),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f90(B,C,A)),$f89(B,C,A))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=49): 427 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(B,C,A)),$f85(B,C,A))),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(B,C,A)),$f87(B,C,A))))|is_bool($f92(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=49): 428 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(B,C,A)),$f85(B,C,A))),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(B,C,A)),$f87(B,C,A))))|is_Arr1861959080le_alt($f90(B,C,A))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=56): 429 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(B,C,A)),$f85(B,C,A))),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(B,C,A)),$f87(B,C,A))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,$f91(B,C,A)),$f89(B,C,A)))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=70): 430 [] -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f86(B,C,A)),$f85(B,C,A))),nil_Ar126264853le_alt))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,nil_bool),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f88(B,C,A)),$f87(B,C,A))))| -hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f92(B,C,A)),$f91(B,C,A))),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,$f90(B,C,A)),$f89(B,C,A))))|hBOOL(hAPP_l1386638586t_bool(hAPP_l1686219315t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=38): 431 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),nil_nat))|is_bool($f94(B,C,A))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(B,C,A)),$f95(B,C,A))))|is_bool($f100(B,C,A))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=45): 432 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),nil_nat))|is_bool($f94(B,C,A))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(B,C,A)),$f95(B,C,A))))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,$f99(B,C,A)),$f97(B,C,A)))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=59): 433 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),nil_nat))|is_bool($f94(B,C,A))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(B,C,A)),$f95(B,C,A))))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f100(B,C,A)),$f99(B,C,A))),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f98(B,C,A)),$f97(B,C,A))))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=49): 434 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f94(B,C,A)),$f93(B,C,A))),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(B,C,A)),$f95(B,C,A))))|is_bool($f100(B,C,A))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=56): 435 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f94(B,C,A)),$f93(B,C,A))),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(B,C,A)),$f95(B,C,A))))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,$f99(B,C,A)),$f97(B,C,A)))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=70): 436 [] -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f94(B,C,A)),$f93(B,C,A))),nil_nat))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,nil_bool),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f96(B,C,A)),$f95(B,C,A))))| -hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,$f100(B,C,A)),$f99(B,C,A))),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,$f98(B,C,A)),$f97(B,C,A))))|hBOOL(hAPP_list_nat_bool(hAPP_l909187928t_bool(A,B),C)).
% 14.00/13.86 ** KEPT (pick-wt=26): 437 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(A,B),C))| -hBOOL(hAPP_list_bool_bool(listrelp_bool(A,D),E))|hBOOL(hAPP_list_bool_bool(listrelp_bool(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),D)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,C),E))).
% 14.00/13.86 ** KEPT (pick-wt=26): 438 [] -hBOOL(hAPP_A862370221t_bool(hAPP_A1664620203t_bool(A,B),C))| -hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(A,D),E))|hBOOL(hAPP_l1386638586t_bool(listre53232751le_alt(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),D)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),E))).
% 14.00/13.86 ** KEPT (pick-wt=26): 439 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(A,B),C))| -hBOOL(hAPP_list_nat_bool(listrelp_nat(A,D),E))|hBOOL(hAPP_list_nat_bool(listrelp_nat(A,hAPP_l248265089st_nat(hAPP_n2803629
% 14.03/13.86 Search stopped in tp_alloc by max_mem option.
% 14.03/13.86 26st_nat(cons_nat,B),D)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),E))).
% 14.03/13.86
% 14.03/13.86 Search stopped in tp_alloc by max_mem option.
% 14.03/13.86
% 14.03/13.86 ============ end of search ============
% 14.03/13.86
% 14.03/13.86 -------------- statistics -------------
% 14.03/13.86 clauses given 0
% 14.03/13.86 clauses generated 0
% 14.03/13.86 clauses kept 368
% 14.03/13.86 clauses forward subsumed 45
% 14.03/13.86 clauses back subsumed 0
% 14.03/13.86 Kbytes malloced 11718
% 14.03/13.86
% 14.03/13.86 ----------- times (seconds) -----------
% 14.03/13.86 user CPU time 0.42 (0 hr, 0 min, 0 sec)
% 14.03/13.86 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 14.03/13.86 wall-clock time 14 (0 hr, 0 min, 14 sec)
% 14.03/13.86
% 14.03/13.86 Process 1595 finished Wed Jul 27 09:25:06 2022
% 14.03/13.86 Otter interrupted
% 14.03/13.86 PROOF NOT FOUND
%------------------------------------------------------------------------------