TSTP Solution File: SCT169+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT169+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:12:37 EDT 2022
% Result : Unknown 23.16s 23.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT169+1 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n024.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 09:10:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.59/2.17 ----- Otter 3.3f, August 2004 -----
% 1.59/2.17 The process was started by sandbox2 on n024.cluster.edu,
% 1.59/2.17 Wed Jul 27 09:10:25 2022
% 1.59/2.17 The command was "./otter". The process ID is 16499.
% 1.59/2.17
% 1.59/2.17 set(prolog_style_variables).
% 1.59/2.17 set(auto).
% 1.59/2.17 dependent: set(auto1).
% 1.59/2.17 dependent: set(process_input).
% 1.59/2.17 dependent: clear(print_kept).
% 1.59/2.17 dependent: clear(print_new_demod).
% 1.59/2.17 dependent: clear(print_back_demod).
% 1.59/2.17 dependent: clear(print_back_sub).
% 1.59/2.17 dependent: set(control_memory).
% 1.59/2.17 dependent: assign(max_mem, 12000).
% 1.59/2.17 dependent: assign(pick_given_ratio, 4).
% 1.59/2.17 dependent: assign(stats_level, 1).
% 1.59/2.17 dependent: assign(max_seconds, 10800).
% 1.59/2.17 clear(print_given).
% 1.59/2.17
% 1.59/2.17 formula_list(usable).
% 1.59/2.17 all A (A=A).
% 1.59/2.17 is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)).
% 1.59/2.17 all B_1 is_Arr553848933le_alt(hd_Arr1645127589le_alt(B_1)).
% 1.59/2.17 all B_1 is_Arr553848933le_alt(last_A896759531le_alt(B_1)).
% 1.59/2.17 all B_1 B_2 (is_Arr553848933le_alt(B_2)->is_bool(hAPP_A1960806890t_bool(B_1,B_2))).
% 1.59/2.17 all B_1 B_2 is_bool(hAPP_l1656811191t_bool(B_1,B_2)).
% 1.59/2.17 is_Arr553848933le_alt(a).
% 1.59/2.17 is_Arr553848933le_alt(b).
% 1.59/2.17 exists A_1 B C (is_Arr553848933le_alt(A_1)&is_Arr553848933le_alt(B)&is_Arr553848933le_alt(C)&hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,cons_A2055670914le_alt(A_1,cons_A2055670914le_alt(B,cons_A2055670914le_alt(C,nil_Ar965638354le_alt)))))).
% 1.59/2.17 hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,nil_Ar965638354le_alt)).
% 1.59/2.17 all A_2 List_3 (nil_Ar965638354le_alt!=cons_A2055670914le_alt(A_2,List_3)).
% 1.59/2.17 all A List (cons_A2055670914le_alt(A,List)!=nil_Ar965638354le_alt).
% 1.59/2.17 all Xs (Xs!=nil_Ar965638354le_alt<-> (exists Y_2 Ys_5 (is_Arr553848933le_alt(Y_2)&Xs=cons_A2055670914le_alt(Y_2,Ys_5)))).
% 1.59/2.17 all Y_4 (Y_4!=nil_Ar965638354le_alt-> -(all A_1 List_2 (is_Arr553848933le_alt(A_1)->Y_4!=cons_A2055670914le_alt(A_1,List_2)))).
% 1.59/2.17 all Xs_39 X_24 (Xs_39!=cons_A2055670914le_alt(X_24,Xs_39)).
% 1.59/2.17 all X_23 Xs_38 (cons_A2055670914le_alt(X_23,Xs_38)!=Xs_38).
% 1.59/2.17 all Aa List_1 A List (is_Arr553848933le_alt(Aa)&is_Arr553848933le_alt(A)-> (cons_A2055670914le_alt(Aa,List_1)=cons_A2055670914le_alt(A,List)<->Aa=A&List_1=List)).
% 1.59/2.17 all V Va (splice1200342693le_alt(cons_A2055670914le_alt(V,Va),nil_Ar965638354le_alt)=cons_A2055670914le_alt(V,Va)).
% 1.59/2.17 all X_22 (insert1800010984le_alt(X_22,nil_Ar965638354le_alt)=cons_A2055670914le_alt(X_22,nil_Ar965638354le_alt)).
% 1.59/2.17 all P Xs (Xs!=nil_Ar965638354le_alt-> ((all X_14 (is_Arr553848933le_alt(X_14)->hBOOL(hAPP_l1656811191t_bool(P,cons_A2055670914le_alt(X_14,nil_Ar965638354le_alt)))))-> ((all X_14 Xs_13 (is_Arr553848933le_alt(X_14)-> (Xs_13!=nil_Ar965638354le_alt-> (hBOOL(hAPP_l1656811191t_bool(P,Xs_13))->hBOOL(hAPP_l1656811191t_bool(P,cons_A2055670914le_alt(X_14,Xs_13)))))))->hBOOL(hAPP_l1656811191t_bool(P,Xs))))).
% 1.59/2.17 all Xs_37 (Xs_37!=nil_Ar965638354le_alt-> (hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs_37))->hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,butlas2101875742le_alt(Xs_37))))).
% 1.59/2.17 butlas2101875742le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 1.59/2.17 all X_21 Xs_36 (hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs_36))->hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,insert1800010984le_alt(X_21,Xs_36)))).
% 1.59/2.17 all X_20 Xs_35 Y_3 Ys_18 (splice1200342693le_alt(cons_A2055670914le_alt(X_20,Xs_35),cons_A2055670914le_alt(Y_3,Ys_18))=cons_A2055670914le_alt(X_20,cons_A2055670914le_alt(Y_3,splice1200342693le_alt(Xs_35,Ys_18)))).
% 1.59/2.17 all Xs_34 (splice1200342693le_alt(Xs_34,nil_Ar965638354le_alt)=Xs_34).
% 1.59/2.17 all Ys_17 (splice1200342693le_alt(nil_Ar965638354le_alt,Ys_17)=Ys_17).
% 1.59/2.17 all X_19 Xs_33 ((Xs_33=nil_Ar965638354le_alt->butlas2101875742le_alt(cons_A2055670914le_alt(X_19,Xs_33))=nil_Ar965638354le_alt)& (Xs_33!=nil_Ar965638354le_alt->butlas2101875742le_alt(cons_A2055670914le_alt(X_19,Xs_33))=cons_A2055670914le_alt(X_19,butlas2101875742le_alt(Xs_33)))).
% 1.59/2.17 all Xs (Xs=nil_Ar965638354le_alt<->hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs))).
% 1.59/2.17 all Xs (hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs))<->Xs=nil_Ar965638354le_alt).
% 1.59/2.17 hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,nil_Ar965638354le_alt)).
% 1.59/2.17 all X_18 Xs_32 (-hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,cons_A2055670914le_alt(X_18,Xs_32)))).
% 1.59/2.17 all Xs_31 X_17 (butlas2101875742le_alt(append2006010343le_alt(Xs_31,cons_A2055670914le_alt(X_17,nil_Ar965638354le_alt)))=Xs_31).
% 1.59/2.17 all Xs_30 Ys_16 Zs_4 (append2006010343le_alt(append2006010343le_alt(Xs_30,Ys_16),Zs_4)=append2006010343le_alt(Xs_30,append2006010343le_alt(Ys_16,Zs_4))).
% 1.59/2.17 all Xs Ys_4 Zs_1 Ts (append2006010343le_alt(Xs,Ys_4)=append2006010343le_alt(Zs_1,Ts)<-> (exists Us_1 (Xs=append2006010343le_alt(Zs_1,Us_1)&append2006010343le_alt(Us_1,Ys_4)=Ts|append2006010343le_alt(Xs,Us_1)=Zs_1&Ys_4=append2006010343le_alt(Us_1,Ts)))).
% 1.59/2.17 all Xs Ys_4 Zs_1 (append2006010343le_alt(Xs,Ys_4)=append2006010343le_alt(Xs,Zs_1)<->Ys_4=Zs_1).
% 1.59/2.17 all Ys_4 Xs Zs_1 (append2006010343le_alt(Ys_4,Xs)=append2006010343le_alt(Zs_1,Xs)<->Ys_4=Zs_1).
% 1.59/2.17 all Ys_15 Us Xs_29 Xs1_1 Zs_3 (append2006010343le_alt(Xs_29,Xs1_1)=Zs_3-> (Ys_15=append2006010343le_alt(Xs1_1,Us)->append2006010343le_alt(Xs_29,Ys_15)=append2006010343le_alt(Zs_3,Us))).
% 1.59/2.17 all X_16 Xs_28 Ys_14 (append2006010343le_alt(cons_A2055670914le_alt(X_16,Xs_28),Ys_14)=cons_A2055670914le_alt(X_16,append2006010343le_alt(Xs_28,Ys_14))).
% 1.59/2.17 all Xs_27 Zs_2 X_15 Xs1 Ys_13 (cons_A2055670914le_alt(X_15,Xs1)=Ys_13-> (Xs_27=append2006010343le_alt(Xs1,Zs_2)->cons_A2055670914le_alt(X_15,Xs_27)=append2006010343le_alt(Ys_13,Zs_2))).
% 1.59/2.17 all Ys_12 (append2006010343le_alt(nil_Ar965638354le_alt,Ys_12)=Ys_12).
% 1.59/2.17 all Xs Ys_4 (nil_Ar965638354le_alt=append2006010343le_alt(Xs,Ys_4)<->Xs=nil_Ar965638354le_alt&Ys_4=nil_Ar965638354le_alt).
% 1.59/2.17 all Xs_26 (append2006010343le_alt(Xs_26,nil_Ar965638354le_alt)=Xs_26).
% 1.59/2.17 all Xs Ys_4 (Xs=append2006010343le_alt(Xs,Ys_4)<->Ys_4=nil_Ar965638354le_alt).
% 1.59/2.17 all Ys_4 Xs (Ys_4=append2006010343le_alt(Xs,Ys_4)<->Xs=nil_Ar965638354le_alt).
% 1.59/2.17 all Xs Ys_4 (append2006010343le_alt(Xs,Ys_4)=nil_Ar965638354le_alt<->Xs=nil_Ar965638354le_alt&Ys_4=nil_Ar965638354le_alt).
% 1.59/2.17 all Xs Ys_4 (append2006010343le_alt(Xs,Ys_4)=Xs<->Ys_4=nil_Ar965638354le_alt).
% 1.59/2.17 all Xs Ys_4 (append2006010343le_alt(Xs,Ys_4)=Ys_4<->Xs=nil_Ar965638354le_alt).
% 1.59/2.17 all Xs_25 Ys_11 (Xs_25=Ys_11->Xs_25=append2006010343le_alt(nil_Ar965638354le_alt,Ys_11)).
% 1.59/2.17 all Ys_4 Zs_1 X_1 Xs (append2006010343le_alt(Ys_4,Zs_1)=cons_A2055670914le_alt(X_1,Xs)<->Ys_4=nil_Ar965638354le_alt&Zs_1=cons_A2055670914le_alt(X_1,Xs)| (exists Ys_10 (Ys_4=cons_A2055670914le_alt(X_1,Ys_10)&append2006010343le_alt(Ys_10,Zs_1)=Xs))).
% 1.59/2.17 all X_1 Xs Ys_4 Zs_1 (cons_A2055670914le_alt(X_1,Xs)=append2006010343le_alt(Ys_4,Zs_1)<->Ys_4=nil_Ar965638354le_alt&cons_A2055670914le_alt(X_1,Xs)=Zs_1| (exists Ys_10 (cons_A2055670914le_alt(X_1,Ys_10)=Ys_4&Xs=append2006010343le_alt(Ys_10,Zs_1)))).
% 1.59/2.17 all Xs X_1 Ys_4 Y_1 (is_Arr553848933le_alt(X_1)&is_Arr553848933le_alt(Y_1)-> (append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))=append2006010343le_alt(Ys_4,cons_A2055670914le_alt(Y_1,nil_Ar965638354le_alt))<->Xs=Ys_4&X_1=Y_1)).
% 1.59/2.17 all Xs_24 Ys_9 ((Ys_9=nil_Ar965638354le_alt->butlas2101875742le_alt(append2006010343le_alt(Xs_24,Ys_9))=butlas2101875742le_alt(Xs_24))& (Ys_9!=nil_Ar965638354le_alt->butlas2101875742le_alt(append2006010343le_alt(Xs_24,Ys_9))=append2006010343le_alt(Xs_24,butlas2101875742le_alt(Ys_9)))).
% 1.59/2.17 all Xs P (hBOOL(hAPP_l1656811191t_bool(P,nil_Ar965638354le_alt))-> ((all X_14 Xs_13 (is_Arr553848933le_alt(X_14)-> (hBOOL(hAPP_l1656811191t_bool(P,Xs_13))->hBOOL(hAPP_l1656811191t_bool(P,append2006010343le_alt(Xs_13,cons_A2055670914le_alt(X_14,nil_Ar965638354le_alt)))))))->hBOOL(hAPP_l1656811191t_bool(P,Xs)))).
% 1.59/2.17 all Xs_23 (Xs_23!=nil_Ar965638354le_alt-> -(all Ys_5 Y_2 (is_Arr553848933le_alt(Y_2)->Xs_23!=append2006010343le_alt(Ys_5,cons_A2055670914le_alt(Y_2,nil_Ar965638354le_alt))))).
% 1.59/2.17 all Xs (hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,Xs),nil_Ar965638354le_alt))<->hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs))).
% 1.59/2.17 all Xs X_1 Ys_4 (is_Arr553848933le_alt(X_1)-> (append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))=Ys_4<->Ys_4!=nil_Ar965638354le_alt&butlas2101875742le_alt(Ys_4)=Xs&last_A896759531le_alt(Ys_4)=X_1)).
% 1.59/2.17 all Xs_22 (Xs_22!=nil_Ar965638354le_alt->append2006010343le_alt(butlas2101875742le_alt(Xs_22),cons_A2055670914le_alt(last_A896759531le_alt(Xs_22),nil_Ar965638354le_alt))=Xs_22).
% 2.03/2.17 all X_13 Xs_21 (rotate14793503le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt&rotate14793503le_alt(cons_A2055670914le_alt(X_13,Xs_21))=append2006010343le_alt(Xs_21,cons_A2055670914le_alt(X_13,nil_Ar965638354le_alt))).
% 2.03/2.17 all X_1 Y_1 (hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,X_1),Y_1))<->X_1=Y_1).
% 2.03/2.17 all Xs (rotate14793503le_alt(Xs)=nil_Ar965638354le_alt<->Xs=nil_Ar965638354le_alt).
% 2.03/2.17 all Xs (hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rotate14793503le_alt(Xs)))<->hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs))).
% 2.03/2.17 all X_12 Xs_20 (is_Arr553848933le_alt(X_12)-> (Xs_20=nil_Ar965638354le_alt->last_A896759531le_alt(cons_A2055670914le_alt(X_12,Xs_20))=X_12)).
% 2.03/2.17 all X_11 Xs_19 (Xs_19!=nil_Ar965638354le_alt->last_A896759531le_alt(cons_A2055670914le_alt(X_11,Xs_19))=last_A896759531le_alt(Xs_19)).
% 2.03/2.17 all X_10 Xs_18 (is_Arr553848933le_alt(X_10)-> (Xs_18=nil_Ar965638354le_alt->last_A896759531le_alt(cons_A2055670914le_alt(X_10,Xs_18))=X_10)& (Xs_18!=nil_Ar965638354le_alt->last_A896759531le_alt(cons_A2055670914le_alt(X_10,Xs_18))=last_A896759531le_alt(Xs_18))).
% 2.03/2.17 all Xs_17 Ys_8 (Ys_8=nil_Ar965638354le_alt->last_A896759531le_alt(append2006010343le_alt(Xs_17,Ys_8))=last_A896759531le_alt(Xs_17)).
% 2.03/2.17 all Xs_16 Ys_7 (Ys_7!=nil_Ar965638354le_alt->last_A896759531le_alt(append2006010343le_alt(Xs_16,Ys_7))=last_A896759531le_alt(Ys_7)).
% 2.03/2.17 all Xs_15 Ys_6 ((Ys_6=nil_Ar965638354le_alt->last_A896759531le_alt(append2006010343le_alt(Xs_15,Ys_6))=last_A896759531le_alt(Xs_15))& (Ys_6!=nil_Ar965638354le_alt->last_A896759531le_alt(append2006010343le_alt(Xs_15,Ys_6))=last_A896759531le_alt(Ys_6))).
% 2.03/2.17 all Xs_14 X_9 (is_Arr553848933le_alt(X_9)->last_A896759531le_alt(append2006010343le_alt(Xs_14,cons_A2055670914le_alt(X_9,nil_Ar965638354le_alt)))=X_9).
% 2.03/2.17 all F X_1 Xs (maps_A1380093889le_alt(F,cons_A2055670914le_alt(X_1,Xs))=append2006010343le_alt(hAPP_A285010404le_alt(F,X_1),maps_A1380093889le_alt(F,Xs))).
% 2.03/2.17 all Ws (-hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Ws))-> (exists Xs_13 Ys_5 Zs Y_2 (is_Arr553848933le_alt(Y_2)&Ws=append2006010343le_alt(Xs_13,append2006010343le_alt(cons_A2055670914le_alt(Y_2,nil_Ar965638354le_alt),append2006010343le_alt(Ys_5,append2006010343le_alt(cons_A2055670914le_alt(Y_2,nil_Ar965638354le_alt),Zs))))))).
% 2.03/2.17 e_qual_35123829le_alt=fe_qual331800088le_alt.
% 2.03/2.17 all X_8 hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,X_8),X_8)).
% 2.03/2.17 fe_qual331800088le_alt=e_qual_35123829le_alt.
% 2.03/2.17 all X_1 Y_1 (hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,X_1),Y_1))<->X_1=Y_1).
% 2.03/2.17 all I X_7 (append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(I),X_7),cons_A2055670914le_alt(X_7,nil_Ar965638354le_alt))=cons_A2055670914le_alt(X_7,hAPP_A285010404le_alt(replic1190983052le_alt(I),X_7))).
% 2.03/2.17 all X_6 Xs_12 (rev_Ar785851186le_alt(cons_A2055670914le_alt(X_6,Xs_12))=append2006010343le_alt(rev_Ar785851186le_alt(Xs_12),cons_A2055670914le_alt(X_6,nil_Ar965638354le_alt))).
% 2.03/2.17 all Xs Y_1 Ys_4 (rev_Ar785851186le_alt(Xs)=cons_A2055670914le_alt(Y_1,Ys_4)<->Xs=append2006010343le_alt(rev_Ar785851186le_alt(Ys_4),cons_A2055670914le_alt(Y_1,nil_Ar965638354le_alt))).
% 2.03/2.17 all Xs Ys_4 (rev_Ar785851186le_alt(Xs)=rev_Ar785851186le_alt(Ys_4)<->Xs=Ys_4).
% 2.03/2.17 all Xs Ys_4 (rev_Ar785851186le_alt(Xs)=Ys_4<->Xs=rev_Ar785851186le_alt(Ys_4)).
% 2.03/2.17 all N_2 X_5 (rev_Ar785851186le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(N_2),X_5))=hAPP_A285010404le_alt(replic1190983052le_alt(N_2),X_5)).
% 2.03/2.17 all Xs_11 (rev_Ar785851186le_alt(rev_Ar785851186le_alt(Xs_11))=Xs_11).
% 2.03/2.17 all N_1 X_4 K (append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(N_1),X_4),hAPP_A285010404le_alt(replic1190983052le_alt(K),X_4))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(K),X_4),hAPP_A285010404le_alt(replic1190983052le_alt(N_1),X_4))).
% 2.03/2.17 all Xs (hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rev_Ar785851186le_alt(Xs)))<->hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs))).
% 2.03/2.17 all Xs_10 Ys_3 (rev_Ar785851186le_alt(append2006010343le_alt(Xs_10,Ys_3))=append2006010343le_alt(rev_Ar785851186le_alt(Ys_3),rev_Ar785851186le_alt(Xs_10))).
% 2.03/2.17 rev_Ar785851186le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.17 all Xs (nil_Ar965638354le_alt=rev_Ar785851186le_alt(Xs)<->Xs=nil_Ar965638354le_alt).
% 2.03/2.17 all Xs (rev_Ar785851186le_alt(Xs)=nil_Ar965638354le_alt<->Xs=nil_Ar965638354le_alt).
% 2.03/2.17 all X_1 Xs (cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt)=rev_Ar785851186le_alt(Xs)<->Xs=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt)).
% 2.03/2.17 all Xs X_1 (rev_Ar785851186le_alt(Xs)=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt)<->Xs=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt)).
% 2.03/2.17 all N X_3 Xs_9 (append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(N),X_3),cons_A2055670914le_alt(X_3,Xs_9))=cons_A2055670914le_alt(X_3,append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(N),X_3),Xs_9))).
% 2.03/2.17 all Xs_8 (Xs_8!=nil_Ar965638354le_alt->hd_Arr1645127589le_alt(rev_Ar785851186le_alt(Xs_8))=last_A896759531le_alt(Xs_8)).
% 2.03/2.17 all Xs_7 (Xs_7!=nil_Ar965638354le_alt->last_A896759531le_alt(rev_Ar785851186le_alt(Xs_7))=hd_Arr1645127589le_alt(Xs_7)).
% 2.03/2.17 all X_2 Xs_6 (is_Arr553848933le_alt(X_2)->hd_Arr1645127589le_alt(cons_A2055670914le_alt(X_2,Xs_6))=X_2).
% 2.03/2.17 all Ys_2 Xs_5 ((Xs_5=nil_Ar965638354le_alt->hd_Arr1645127589le_alt(append2006010343le_alt(Xs_5,Ys_2))=hd_Arr1645127589le_alt(Ys_2))& (Xs_5!=nil_Ar965638354le_alt->hd_Arr1645127589le_alt(append2006010343le_alt(Xs_5,Ys_2))=hd_Arr1645127589le_alt(Xs_5))).
% 2.03/2.17 all Ys_1 Xs_4 (Xs_4!=nil_Ar965638354le_alt->hd_Arr1645127589le_alt(append2006010343le_alt(Xs_4,Ys_1))=hd_Arr1645127589le_alt(Xs_4)).
% 2.03/2.17 all Xs_3 (Xs_3!=nil_Ar965638354le_alt->rotate14793503le_alt(Xs_3)=append2006010343le_alt(tl_Arr144895401le_alt(Xs_3),cons_A2055670914le_alt(hd_Arr1645127589le_alt(Xs_3),nil_Ar965638354le_alt))).
% 2.03/2.17 all P Xs (dropWh996226163le_alt(P,Xs)!=nil_Ar965638354le_alt-> -hBOOL(hAPP_A1960806890t_bool(P,hd_Arr1645127589le_alt(dropWh996226163le_alt(P,Xs))))).
% 2.03/2.17 all Ys Xs_2 (Xs_2!=nil_Ar965638354le_alt->tl_Arr144895401le_alt(append2006010343le_alt(Xs_2,Ys))=append2006010343le_alt(tl_Arr144895401le_alt(Xs_2),Ys)).
% 2.03/2.17 all Xs_1 (hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs_1))->hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,tl_Arr144895401le_alt(Xs_1)))).
% 2.03/2.17 all P Xs (hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs))->hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,dropWh996226163le_alt(P,Xs)))).
% 2.03/2.17 all P (dropWh996226163le_alt(P,nil_Ar965638354le_alt)=nil_Ar965638354le_alt).
% 2.03/2.17 all Xs P X_1 ((hBOOL(hAPP_A1960806890t_bool(P,X_1))->dropWh996226163le_alt(P,cons_A2055670914le_alt(X_1,Xs))=dropWh996226163le_alt(P,Xs))& (-hBOOL(hAPP_A1960806890t_bool(P,X_1))->dropWh996226163le_alt(P,cons_A2055670914le_alt(X_1,Xs))=cons_A2055670914le_alt(X_1,Xs))).
% 2.03/2.17 all X Y (-hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(fe_qual331800088le_alt,X),Y))|X=Y).
% 2.03/2.17 all X Y (X!=Y|hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(fe_qual331800088le_alt,X),Y))).
% 2.03/2.17 a!=b.
% 2.03/2.17 -(exists C hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,cons_A2055670914le_alt(a,cons_A2055670914le_alt(b,cons_A2055670914le_alt(C,nil_Ar965638354le_alt)))))).
% 2.03/2.17 end_of_list.
% 2.03/2.17
% 2.03/2.17 -------> usable clausifies to:
% 2.03/2.17
% 2.03/2.17 list(usable).
% 2.03/2.17 0 [] A=A.
% 2.03/2.17 0 [] is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)).
% 2.03/2.17 0 [] is_Arr553848933le_alt(hd_Arr1645127589le_alt(B_1)).
% 2.03/2.17 0 [] is_Arr553848933le_alt(last_A896759531le_alt(B_1)).
% 2.03/2.17 0 [] -is_Arr553848933le_alt(B_2)|is_bool(hAPP_A1960806890t_bool(B_1,B_2)).
% 2.03/2.17 0 [] is_bool(hAPP_l1656811191t_bool(B_1,B_2)).
% 2.03/2.17 0 [] is_Arr553848933le_alt(a).
% 2.03/2.17 0 [] is_Arr553848933le_alt(b).
% 2.03/2.17 0 [] is_Arr553848933le_alt($c3).
% 2.03/2.17 0 [] is_Arr553848933le_alt($c2).
% 2.03/2.17 0 [] is_Arr553848933le_alt($c1).
% 2.03/2.17 0 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,cons_A2055670914le_alt($c3,cons_A2055670914le_alt($c2,cons_A2055670914le_alt($c1,nil_Ar965638354le_alt))))).
% 2.03/2.17 0 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,nil_Ar965638354le_alt)).
% 2.03/2.17 0 [] nil_Ar965638354le_alt!=cons_A2055670914le_alt(A_2,List_3).
% 2.03/2.17 0 [] cons_A2055670914le_alt(A,List)!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt|is_Arr553848933le_alt($f2(Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt|Xs=cons_A2055670914le_alt($f2(Xs),$f1(Xs)).
% 2.03/2.17 0 [] Xs!=nil_Ar965638354le_alt| -is_Arr553848933le_alt(Y_2)|Xs!=cons_A2055670914le_alt(Y_2,Ys_5).
% 2.03/2.17 0 [] Y_4=nil_Ar965638354le_alt|is_Arr553848933le_alt($f4(Y_4)).
% 2.03/2.17 0 [] Y_4=nil_Ar965638354le_alt|Y_4=cons_A2055670914le_alt($f4(Y_4),$f3(Y_4)).
% 2.03/2.17 0 [] Xs_39!=cons_A2055670914le_alt(X_24,Xs_39).
% 2.03/2.17 0 [] cons_A2055670914le_alt(X_23,Xs_38)!=Xs_38.
% 2.03/2.17 0 [] -is_Arr553848933le_alt(Aa)| -is_Arr553848933le_alt(A)|cons_A2055670914le_alt(Aa,List_1)!=cons_A2055670914le_alt(A,List)|Aa=A.
% 2.03/2.17 0 [] -is_Arr553848933le_alt(Aa)| -is_Arr553848933le_alt(A)|cons_A2055670914le_alt(Aa,List_1)!=cons_A2055670914le_alt(A,List)|List_1=List.
% 2.03/2.17 0 [] -is_Arr553848933le_alt(Aa)| -is_Arr553848933le_alt(A)|cons_A2055670914le_alt(Aa,List_1)=cons_A2055670914le_alt(A,List)|Aa!=A|List_1!=List.
% 2.03/2.17 0 [] splice1200342693le_alt(cons_A2055670914le_alt(V,Va),nil_Ar965638354le_alt)=cons_A2055670914le_alt(V,Va).
% 2.03/2.17 0 [] insert1800010984le_alt(X_22,nil_Ar965638354le_alt)=cons_A2055670914le_alt(X_22,nil_Ar965638354le_alt).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt|is_Arr553848933le_alt($f5(P,Xs))|is_Arr553848933le_alt($f7(P,Xs))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt|is_Arr553848933le_alt($f5(P,Xs))|$f6(P,Xs)!=nil_Ar965638354le_alt|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt|is_Arr553848933le_alt($f5(P,Xs))|hBOOL(hAPP_l1656811191t_bool(P,$f6(P,Xs)))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt|is_Arr553848933le_alt($f5(P,Xs))| -hBOOL(hAPP_l1656811191t_bool(P,cons_A2055670914le_alt($f7(P,Xs),$f6(P,Xs))))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(P,cons_A2055670914le_alt($f5(P,Xs),nil_Ar965638354le_alt)))|is_Arr553848933le_alt($f7(P,Xs))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(P,cons_A2055670914le_alt($f5(P,Xs),nil_Ar965638354le_alt)))|$f6(P,Xs)!=nil_Ar965638354le_alt|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(P,cons_A2055670914le_alt($f5(P,Xs),nil_Ar965638354le_alt)))|hBOOL(hAPP_l1656811191t_bool(P,$f6(P,Xs)))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(P,cons_A2055670914le_alt($f5(P,Xs),nil_Ar965638354le_alt)))| -hBOOL(hAPP_l1656811191t_bool(P,cons_A2055670914le_alt($f7(P,Xs),$f6(P,Xs))))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs_37=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs_37))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,butlas2101875742le_alt(Xs_37))).
% 2.03/2.17 0 [] butlas2101875742le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs_36))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,insert1800010984le_alt(X_21,Xs_36))).
% 2.03/2.17 0 [] splice1200342693le_alt(cons_A2055670914le_alt(X_20,Xs_35),cons_A2055670914le_alt(Y_3,Ys_18))=cons_A2055670914le_alt(X_20,cons_A2055670914le_alt(Y_3,splice1200342693le_alt(Xs_35,Ys_18))).
% 2.03/2.17 0 [] splice1200342693le_alt(Xs_34,nil_Ar965638354le_alt)=Xs_34.
% 2.03/2.17 0 [] splice1200342693le_alt(nil_Ar965638354le_alt,Ys_17)=Ys_17.
% 2.03/2.17 0 [] Xs_33!=nil_Ar965638354le_alt|butlas2101875742le_alt(cons_A2055670914le_alt(X_19,Xs_33))=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] Xs_33=nil_Ar965638354le_alt|butlas2101875742le_alt(cons_A2055670914le_alt(X_19,Xs_33))=cons_A2055670914le_alt(X_19,butlas2101875742le_alt(Xs_33)).
% 2.03/2.17 0 [] Xs!=nil_Ar965638354le_alt|hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs)).
% 2.03/2.17 0 [] Xs=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs)).
% 2.03/2.17 0 [] -hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs))|Xs=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs))|Xs!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,nil_Ar965638354le_alt)).
% 2.03/2.17 0 [] -hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,cons_A2055670914le_alt(X_18,Xs_32))).
% 2.03/2.17 0 [] butlas2101875742le_alt(append2006010343le_alt(Xs_31,cons_A2055670914le_alt(X_17,nil_Ar965638354le_alt)))=Xs_31.
% 2.03/2.17 0 [] append2006010343le_alt(append2006010343le_alt(Xs_30,Ys_16),Zs_4)=append2006010343le_alt(Xs_30,append2006010343le_alt(Ys_16,Zs_4)).
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=append2006010343le_alt(Zs_1,Ts)|Xs=append2006010343le_alt(Zs_1,$f8(Xs,Ys_4,Zs_1,Ts))|append2006010343le_alt(Xs,$f8(Xs,Ys_4,Zs_1,Ts))=Zs_1.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=append2006010343le_alt(Zs_1,Ts)|Xs=append2006010343le_alt(Zs_1,$f8(Xs,Ys_4,Zs_1,Ts))|Ys_4=append2006010343le_alt($f8(Xs,Ys_4,Zs_1,Ts),Ts).
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=append2006010343le_alt(Zs_1,Ts)|append2006010343le_alt($f8(Xs,Ys_4,Zs_1,Ts),Ys_4)=Ts|append2006010343le_alt(Xs,$f8(Xs,Ys_4,Zs_1,Ts))=Zs_1.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=append2006010343le_alt(Zs_1,Ts)|append2006010343le_alt($f8(Xs,Ys_4,Zs_1,Ts),Ys_4)=Ts|Ys_4=append2006010343le_alt($f8(Xs,Ys_4,Zs_1,Ts),Ts).
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)=append2006010343le_alt(Zs_1,Ts)|Xs!=append2006010343le_alt(Zs_1,Us_1)|append2006010343le_alt(Us_1,Ys_4)!=Ts.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)=append2006010343le_alt(Zs_1,Ts)|append2006010343le_alt(Xs,Us_1)!=Zs_1|Ys_4!=append2006010343le_alt(Us_1,Ts).
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=append2006010343le_alt(Xs,Zs_1)|Ys_4=Zs_1.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)=append2006010343le_alt(Xs,Zs_1)|Ys_4!=Zs_1.
% 2.03/2.17 0 [] append2006010343le_alt(Ys_4,Xs)!=append2006010343le_alt(Zs_1,Xs)|Ys_4=Zs_1.
% 2.03/2.17 0 [] append2006010343le_alt(Ys_4,Xs)=append2006010343le_alt(Zs_1,Xs)|Ys_4!=Zs_1.
% 2.03/2.17 0 [] append2006010343le_alt(Xs_29,Xs1_1)!=Zs_3|Ys_15!=append2006010343le_alt(Xs1_1,Us)|append2006010343le_alt(Xs_29,Ys_15)=append2006010343le_alt(Zs_3,Us).
% 2.03/2.17 0 [] append2006010343le_alt(cons_A2055670914le_alt(X_16,Xs_28),Ys_14)=cons_A2055670914le_alt(X_16,append2006010343le_alt(Xs_28,Ys_14)).
% 2.03/2.17 0 [] cons_A2055670914le_alt(X_15,Xs1)!=Ys_13|Xs_27!=append2006010343le_alt(Xs1,Zs_2)|cons_A2055670914le_alt(X_15,Xs_27)=append2006010343le_alt(Ys_13,Zs_2).
% 2.03/2.17 0 [] append2006010343le_alt(nil_Ar965638354le_alt,Ys_12)=Ys_12.
% 2.03/2.17 0 [] nil_Ar965638354le_alt!=append2006010343le_alt(Xs,Ys_4)|Xs=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] nil_Ar965638354le_alt!=append2006010343le_alt(Xs,Ys_4)|Ys_4=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] nil_Ar965638354le_alt=append2006010343le_alt(Xs,Ys_4)|Xs!=nil_Ar965638354le_alt|Ys_4!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] append2006010343le_alt(Xs_26,nil_Ar965638354le_alt)=Xs_26.
% 2.03/2.17 0 [] Xs!=append2006010343le_alt(Xs,Ys_4)|Ys_4=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] Xs=append2006010343le_alt(Xs,Ys_4)|Ys_4!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] Ys_4!=append2006010343le_alt(Xs,Ys_4)|Xs=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] Ys_4=append2006010343le_alt(Xs,Ys_4)|Xs!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=nil_Ar965638354le_alt|Xs=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=nil_Ar965638354le_alt|Ys_4=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)=nil_Ar965638354le_alt|Xs!=nil_Ar965638354le_alt|Ys_4!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=Xs|Ys_4=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)=Xs|Ys_4!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)!=Ys_4|Xs=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] append2006010343le_alt(Xs,Ys_4)=Ys_4|Xs!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] Xs_25!=Ys_11|Xs_25=append2006010343le_alt(nil_Ar965638354le_alt,Ys_11).
% 2.03/2.17 0 [] append2006010343le_alt(Ys_4,Zs_1)!=cons_A2055670914le_alt(X_1,Xs)|Ys_4=nil_Ar965638354le_alt|Ys_4=cons_A2055670914le_alt(X_1,$f9(Ys_4,Zs_1,X_1,Xs)).
% 2.03/2.17 0 [] append2006010343le_alt(Ys_4,Zs_1)!=cons_A2055670914le_alt(X_1,Xs)|Ys_4=nil_Ar965638354le_alt|append2006010343le_alt($f9(Ys_4,Zs_1,X_1,Xs),Zs_1)=Xs.
% 2.03/2.17 0 [] append2006010343le_alt(Ys_4,Zs_1)!=cons_A2055670914le_alt(X_1,Xs)|Zs_1=cons_A2055670914le_alt(X_1,Xs)|Ys_4=cons_A2055670914le_alt(X_1,$f9(Ys_4,Zs_1,X_1,Xs)).
% 2.03/2.17 0 [] append2006010343le_alt(Ys_4,Zs_1)!=cons_A2055670914le_alt(X_1,Xs)|Zs_1=cons_A2055670914le_alt(X_1,Xs)|append2006010343le_alt($f9(Ys_4,Zs_1,X_1,Xs),Zs_1)=Xs.
% 2.03/2.17 0 [] append2006010343le_alt(Ys_4,Zs_1)=cons_A2055670914le_alt(X_1,Xs)|Ys_4!=nil_Ar965638354le_alt|Zs_1!=cons_A2055670914le_alt(X_1,Xs).
% 2.03/2.17 0 [] append2006010343le_alt(Ys_4,Zs_1)=cons_A2055670914le_alt(X_1,Xs)|Ys_4!=cons_A2055670914le_alt(X_1,Ys_10)|append2006010343le_alt(Ys_10,Zs_1)!=Xs.
% 2.03/2.17 0 [] cons_A2055670914le_alt(X_1,Xs)!=append2006010343le_alt(Ys_4,Zs_1)|Ys_4=nil_Ar965638354le_alt|cons_A2055670914le_alt(X_1,$f10(X_1,Xs,Ys_4,Zs_1))=Ys_4.
% 2.03/2.17 0 [] cons_A2055670914le_alt(X_1,Xs)!=append2006010343le_alt(Ys_4,Zs_1)|Ys_4=nil_Ar965638354le_alt|Xs=append2006010343le_alt($f10(X_1,Xs,Ys_4,Zs_1),Zs_1).
% 2.03/2.17 0 [] cons_A2055670914le_alt(X_1,Xs)!=append2006010343le_alt(Ys_4,Zs_1)|cons_A2055670914le_alt(X_1,Xs)=Zs_1|cons_A2055670914le_alt(X_1,$f10(X_1,Xs,Ys_4,Zs_1))=Ys_4.
% 2.03/2.17 0 [] cons_A2055670914le_alt(X_1,Xs)!=append2006010343le_alt(Ys_4,Zs_1)|cons_A2055670914le_alt(X_1,Xs)=Zs_1|Xs=append2006010343le_alt($f10(X_1,Xs,Ys_4,Zs_1),Zs_1).
% 2.03/2.17 0 [] cons_A2055670914le_alt(X_1,Xs)=append2006010343le_alt(Ys_4,Zs_1)|Ys_4!=nil_Ar965638354le_alt|cons_A2055670914le_alt(X_1,Xs)!=Zs_1.
% 2.03/2.17 0 [] cons_A2055670914le_alt(X_1,Xs)=append2006010343le_alt(Ys_4,Zs_1)|cons_A2055670914le_alt(X_1,Ys_10)!=Ys_4|Xs!=append2006010343le_alt(Ys_10,Zs_1).
% 2.03/2.17 0 [] -is_Arr553848933le_alt(X_1)| -is_Arr553848933le_alt(Y_1)|append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))!=append2006010343le_alt(Ys_4,cons_A2055670914le_alt(Y_1,nil_Ar965638354le_alt))|Xs=Ys_4.
% 2.03/2.17 0 [] -is_Arr553848933le_alt(X_1)| -is_Arr553848933le_alt(Y_1)|append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))!=append2006010343le_alt(Ys_4,cons_A2055670914le_alt(Y_1,nil_Ar965638354le_alt))|X_1=Y_1.
% 2.03/2.17 0 [] -is_Arr553848933le_alt(X_1)| -is_Arr553848933le_alt(Y_1)|append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))=append2006010343le_alt(Ys_4,cons_A2055670914le_alt(Y_1,nil_Ar965638354le_alt))|Xs!=Ys_4|X_1!=Y_1.
% 2.03/2.17 0 [] Ys_9!=nil_Ar965638354le_alt|butlas2101875742le_alt(append2006010343le_alt(Xs_24,Ys_9))=butlas2101875742le_alt(Xs_24).
% 2.03/2.17 0 [] Ys_9=nil_Ar965638354le_alt|butlas2101875742le_alt(append2006010343le_alt(Xs_24,Ys_9))=append2006010343le_alt(Xs_24,butlas2101875742le_alt(Ys_9)).
% 2.03/2.17 0 [] -hBOOL(hAPP_l1656811191t_bool(P,nil_Ar965638354le_alt))|is_Arr553848933le_alt($f12(Xs,P))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] -hBOOL(hAPP_l1656811191t_bool(P,nil_Ar965638354le_alt))|hBOOL(hAPP_l1656811191t_bool(P,$f11(Xs,P)))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] -hBOOL(hAPP_l1656811191t_bool(P,nil_Ar965638354le_alt))| -hBOOL(hAPP_l1656811191t_bool(P,append2006010343le_alt($f11(Xs,P),cons_A2055670914le_alt($f12(Xs,P),nil_Ar965638354le_alt))))|hBOOL(hAPP_l1656811191t_bool(P,Xs)).
% 2.03/2.17 0 [] Xs_23=nil_Ar965638354le_alt|is_Arr553848933le_alt($f13(Xs_23)).
% 2.03/2.17 0 [] Xs_23=nil_Ar965638354le_alt|Xs_23=append2006010343le_alt($f14(Xs_23),cons_A2055670914le_alt($f13(Xs_23),nil_Ar965638354le_alt)).
% 2.03/2.17 0 [] -hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,Xs),nil_Ar965638354le_alt))|hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs)).
% 2.03/2.17 0 [] hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,Xs),nil_Ar965638354le_alt))| -hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,Xs)).
% 2.03/2.17 0 [] -is_Arr553848933le_alt(X_1)|append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))!=Ys_4|Ys_4!=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] -is_Arr553848933le_alt(X_1)|append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))!=Ys_4|butlas2101875742le_alt(Ys_4)=Xs.
% 2.03/2.17 0 [] -is_Arr553848933le_alt(X_1)|append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))!=Ys_4|last_A896759531le_alt(Ys_4)=X_1.
% 2.03/2.17 0 [] -is_Arr553848933le_alt(X_1)|append2006010343le_alt(Xs,cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt))=Ys_4|Ys_4=nil_Ar965638354le_alt|butlas2101875742le_alt(Ys_4)!=Xs|last_A896759531le_alt(Ys_4)!=X_1.
% 2.03/2.17 0 [] Xs_22=nil_Ar965638354le_alt|append2006010343le_alt(butlas2101875742le_alt(Xs_22),cons_A2055670914le_alt(last_A896759531le_alt(Xs_22),nil_Ar965638354le_alt))=Xs_22.
% 2.03/2.17 0 [] rotate14793503le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.17 0 [] rotate14793503le_alt(cons_A2055670914le_alt(X_13,Xs_21))=append2006010343le_alt(Xs_21,cons_A2055670914le_alt(X_13,nil_Ar965638354le_alt)).
% 2.03/2.17 0 [] -hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,X_1),Y_1))|X_1=Y_1.
% 2.03/2.18 0 [] hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,X_1),Y_1))|X_1!=Y_1.
% 2.03/2.18 0 [] rotate14793503le_alt(Xs)!=nil_Ar965638354le_alt|Xs=nil_Ar965638354le_alt.
% 2.03/2.18 0 [] rotate14793503le_alt(Xs)=nil_Ar965638354le_alt|Xs!=nil_Ar965638354le_alt.
% 2.03/2.18 0 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rotate14793503le_alt(Xs)))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs)).
% 2.03/2.18 0 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rotate14793503le_alt(Xs)))| -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs)).
% 2.03/2.18 0 [] -is_Arr553848933le_alt(X_12)|Xs_20!=nil_Ar965638354le_alt|last_A896759531le_alt(cons_A2055670914le_alt(X_12,Xs_20))=X_12.
% 2.03/2.18 0 [] Xs_19=nil_Ar965638354le_alt|last_A896759531le_alt(cons_A2055670914le_alt(X_11,Xs_19))=last_A896759531le_alt(Xs_19).
% 2.03/2.18 0 [] -is_Arr553848933le_alt(X_10)|Xs_18!=nil_Ar965638354le_alt|last_A896759531le_alt(cons_A2055670914le_alt(X_10,Xs_18))=X_10.
% 2.03/2.18 0 [] -is_Arr553848933le_alt(X_10)|Xs_18=nil_Ar965638354le_alt|last_A896759531le_alt(cons_A2055670914le_alt(X_10,Xs_18))=last_A896759531le_alt(Xs_18).
% 2.03/2.18 0 [] Ys_8!=nil_Ar965638354le_alt|last_A896759531le_alt(append2006010343le_alt(Xs_17,Ys_8))=last_A896759531le_alt(Xs_17).
% 2.03/2.18 0 [] Ys_7=nil_Ar965638354le_alt|last_A896759531le_alt(append2006010343le_alt(Xs_16,Ys_7))=last_A896759531le_alt(Ys_7).
% 2.03/2.18 0 [] Ys_6!=nil_Ar965638354le_alt|last_A896759531le_alt(append2006010343le_alt(Xs_15,Ys_6))=last_A896759531le_alt(Xs_15).
% 2.03/2.18 0 [] Ys_6=nil_Ar965638354le_alt|last_A896759531le_alt(append2006010343le_alt(Xs_15,Ys_6))=last_A896759531le_alt(Ys_6).
% 2.03/2.18 0 [] -is_Arr553848933le_alt(X_9)|last_A896759531le_alt(append2006010343le_alt(Xs_14,cons_A2055670914le_alt(X_9,nil_Ar965638354le_alt)))=X_9.
% 2.03/2.18 0 [] maps_A1380093889le_alt(F,cons_A2055670914le_alt(X_1,Xs))=append2006010343le_alt(hAPP_A285010404le_alt(F,X_1),maps_A1380093889le_alt(F,Xs)).
% 2.03/2.18 0 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Ws))|is_Arr553848933le_alt($f15(Ws)).
% 2.03/2.18 0 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Ws))|Ws=append2006010343le_alt($f18(Ws),append2006010343le_alt(cons_A2055670914le_alt($f15(Ws),nil_Ar965638354le_alt),append2006010343le_alt($f17(Ws),append2006010343le_alt(cons_A2055670914le_alt($f15(Ws),nil_Ar965638354le_alt),$f16(Ws))))).
% 2.03/2.18 0 [] e_qual_35123829le_alt=fe_qual331800088le_alt.
% 2.03/2.18 0 [] hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,X_8),X_8)).
% 2.03/2.18 0 [] fe_qual331800088le_alt=e_qual_35123829le_alt.
% 2.03/2.18 0 [] -hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,X_1),Y_1))|X_1=Y_1.
% 2.03/2.18 0 [] hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,X_1),Y_1))|X_1!=Y_1.
% 2.03/2.18 0 [] append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(I),X_7),cons_A2055670914le_alt(X_7,nil_Ar965638354le_alt))=cons_A2055670914le_alt(X_7,hAPP_A285010404le_alt(replic1190983052le_alt(I),X_7)).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(cons_A2055670914le_alt(X_6,Xs_12))=append2006010343le_alt(rev_Ar785851186le_alt(Xs_12),cons_A2055670914le_alt(X_6,nil_Ar965638354le_alt)).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)!=cons_A2055670914le_alt(Y_1,Ys_4)|Xs=append2006010343le_alt(rev_Ar785851186le_alt(Ys_4),cons_A2055670914le_alt(Y_1,nil_Ar965638354le_alt)).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)=cons_A2055670914le_alt(Y_1,Ys_4)|Xs!=append2006010343le_alt(rev_Ar785851186le_alt(Ys_4),cons_A2055670914le_alt(Y_1,nil_Ar965638354le_alt)).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)!=rev_Ar785851186le_alt(Ys_4)|Xs=Ys_4.
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)=rev_Ar785851186le_alt(Ys_4)|Xs!=Ys_4.
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)!=Ys_4|Xs=rev_Ar785851186le_alt(Ys_4).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)=Ys_4|Xs!=rev_Ar785851186le_alt(Ys_4).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(N_2),X_5))=hAPP_A285010404le_alt(replic1190983052le_alt(N_2),X_5).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(rev_Ar785851186le_alt(Xs_11))=Xs_11.
% 2.03/2.18 0 [] append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(N_1),X_4),hAPP_A285010404le_alt(replic1190983052le_alt(K),X_4))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(K),X_4),hAPP_A285010404le_alt(replic1190983052le_alt(N_1),X_4)).
% 2.03/2.18 0 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rev_Ar785851186le_alt(Xs)))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs)).
% 2.03/2.18 0 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rev_Ar785851186le_alt(Xs)))| -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs)).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(append2006010343le_alt(Xs_10,Ys_3))=append2006010343le_alt(rev_Ar785851186le_alt(Ys_3),rev_Ar785851186le_alt(Xs_10)).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 0 [] nil_Ar965638354le_alt!=rev_Ar785851186le_alt(Xs)|Xs=nil_Ar965638354le_alt.
% 2.03/2.18 0 [] nil_Ar965638354le_alt=rev_Ar785851186le_alt(Xs)|Xs!=nil_Ar965638354le_alt.
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)!=nil_Ar965638354le_alt|Xs=nil_Ar965638354le_alt.
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)=nil_Ar965638354le_alt|Xs!=nil_Ar965638354le_alt.
% 2.03/2.18 0 [] cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt)!=rev_Ar785851186le_alt(Xs)|Xs=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt).
% 2.03/2.18 0 [] cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt)=rev_Ar785851186le_alt(Xs)|Xs!=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)!=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt)|Xs=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt).
% 2.03/2.18 0 [] rev_Ar785851186le_alt(Xs)=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt)|Xs!=cons_A2055670914le_alt(X_1,nil_Ar965638354le_alt).
% 2.03/2.18 0 [] append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(N),X_3),cons_A2055670914le_alt(X_3,Xs_9))=cons_A2055670914le_alt(X_3,append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(N),X_3),Xs_9)).
% 2.03/2.18 0 [] Xs_8=nil_Ar965638354le_alt|hd_Arr1645127589le_alt(rev_Ar785851186le_alt(Xs_8))=last_A896759531le_alt(Xs_8).
% 2.03/2.18 0 [] Xs_7=nil_Ar965638354le_alt|last_A896759531le_alt(rev_Ar785851186le_alt(Xs_7))=hd_Arr1645127589le_alt(Xs_7).
% 2.03/2.18 0 [] -is_Arr553848933le_alt(X_2)|hd_Arr1645127589le_alt(cons_A2055670914le_alt(X_2,Xs_6))=X_2.
% 2.03/2.18 0 [] Xs_5!=nil_Ar965638354le_alt|hd_Arr1645127589le_alt(append2006010343le_alt(Xs_5,Ys_2))=hd_Arr1645127589le_alt(Ys_2).
% 2.03/2.18 0 [] Xs_5=nil_Ar965638354le_alt|hd_Arr1645127589le_alt(append2006010343le_alt(Xs_5,Ys_2))=hd_Arr1645127589le_alt(Xs_5).
% 2.03/2.18 0 [] Xs_4=nil_Ar965638354le_alt|hd_Arr1645127589le_alt(append2006010343le_alt(Xs_4,Ys_1))=hd_Arr1645127589le_alt(Xs_4).
% 2.03/2.18 0 [] Xs_3=nil_Ar965638354le_alt|rotate14793503le_alt(Xs_3)=append2006010343le_alt(tl_Arr144895401le_alt(Xs_3),cons_A2055670914le_alt(hd_Arr1645127589le_alt(Xs_3),nil_Ar965638354le_alt)).
% 2.03/2.18 0 [] dropWh996226163le_alt(P,Xs)=nil_Ar965638354le_alt| -hBOOL(hAPP_A1960806890t_bool(P,hd_Arr1645127589le_alt(dropWh996226163le_alt(P,Xs)))).
% 2.03/2.18 0 [] Xs_2=nil_Ar965638354le_alt|tl_Arr144895401le_alt(append2006010343le_alt(Xs_2,Ys))=append2006010343le_alt(tl_Arr144895401le_alt(Xs_2),Ys).
% 2.03/2.18 0 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs_1))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,tl_Arr144895401le_alt(Xs_1))).
% 2.03/2.18 0 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,Xs))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,dropWh996226163le_alt(P,Xs))).
% 2.03/2.18 0 [] dropWh996226163le_alt(P,nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 0 [] -hBOOL(hAPP_A1960806890t_bool(P,X_1))|dropWh996226163le_alt(P,cons_A2055670914le_alt(X_1,Xs))=dropWh996226163le_alt(P,Xs).
% 2.03/2.18 0 [] hBOOL(hAPP_A1960806890t_bool(P,X_1))|dropWh996226163le_alt(P,cons_A2055670914le_alt(X_1,Xs))=cons_A2055670914le_alt(X_1,Xs).
% 2.03/2.18 0 [] -hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(fe_qual331800088le_alt,X),Y))|X=Y.
% 2.03/2.18 0 [] X!=Y|hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(fe_qual331800088le_alt,X),Y)).
% 2.03/2.18 0 [] a!=b.
% 2.03/2.18 0 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,cons_A2055670914le_alt(a,cons_A2055670914le_alt(b,cons_A2055670914le_alt(C,nil_Ar965638354le_alt))))).
% 2.03/2.18 end_of_list.
% 2.03/2.18
% 2.03/2.18 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.03/2.18
% 2.03/2.18 This ia a non-Horn set with equality. The strategy will be
% 2.03/2.18 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.03/2.18 deletion, with positive clauses in sos and nonpositive
% 2.03/2.18 clauses in usable.
% 2.03/2.18
% 2.03/2.18 dependent: set(knuth_bendix).
% 2.03/2.18 dependent: set(anl_eq).
% 2.03/2.18 dependent: set(para_from).
% 2.03/2.18 dependent: set(para_into).
% 2.03/2.18 dependent: clear(para_from_right).
% 2.03/2.18 dependent: clear(para_into_right).
% 2.03/2.18 dependent: set(para_from_vars).
% 2.03/2.18 dependent: set(eq_units_both_ways).
% 2.03/2.18 dependent: set(dynamic_demod_all).
% 2.03/2.18 dependent: set(dynamic_demod).
% 2.03/2.18 dependent: set(order_eq).
% 2.03/2.18 dependent: set(back_demod).
% 2.03/2.18 dependent: set(lrpo).
% 2.03/2.18 dependent: set(hyper_res).
% 2.03/2.18 dependent: set(unit_deletion).
% 2.03/2.18 dependent: set(factor).
% 2.03/2.18
% 2.03/2.18 ------------> process usable:
% 2.03/2.18 ** KEPT (pick-wt=6): 1 [] -is_Arr553848933le_alt(A)|is_bool(hAPP_A1960806890t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=5): 3 [copy,2,flip.1] cons_A2055670914le_alt(A,B)!=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 3 during input processing: 0 [] cons_A2055670914le_alt(A,B)!=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=10): 4 [] A!=nil_Ar965638354le_alt| -is_Arr553848933le_alt(B)|A!=cons_A2055670914le_alt(B,C).
% 2.03/2.18 ** KEPT (pick-wt=5): 6 [copy,5,flip.1] cons_A2055670914le_alt(A,B)!=B.
% 2.03/2.18 Following clause subsumed by 6 during input processing: 0 [] cons_A2055670914le_alt(A,B)!=B.
% 2.03/2.18 ** KEPT (pick-wt=14): 7 [] -is_Arr553848933le_alt(A)| -is_Arr553848933le_alt(B)|cons_A2055670914le_alt(A,C)!=cons_A2055670914le_alt(B,D)|A=B.
% 2.03/2.18 ** KEPT (pick-wt=14): 8 [] -is_Arr553848933le_alt(A)| -is_Arr553848933le_alt(B)|cons_A2055670914le_alt(A,C)!=cons_A2055670914le_alt(B,D)|C=D.
% 2.03/2.18 ** KEPT (pick-wt=17): 9 [] -is_Arr553848933le_alt(A)| -is_Arr553848933le_alt(B)|cons_A2055670914le_alt(A,C)=cons_A2055670914le_alt(B,D)|A!=B|C!=D.
% 2.03/2.18 ** KEPT (pick-wt=16): 10 [] A=nil_Ar965638354le_alt|is_Arr553848933le_alt($f5(B,A))|$f6(B,A)!=nil_Ar965638354le_alt|hBOOL(hAPP_l1656811191t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=21): 11 [] A=nil_Ar965638354le_alt|is_Arr553848933le_alt($f5(B,A))| -hBOOL(hAPP_l1656811191t_bool(B,cons_A2055670914le_alt($f7(B,A),$f6(B,A))))|hBOOL(hAPP_l1656811191t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=19): 12 [] A=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(B,cons_A2055670914le_alt($f5(B,A),nil_Ar965638354le_alt)))|is_Arr553848933le_alt($f7(B,A))|hBOOL(hAPP_l1656811191t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=20): 13 [] A=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(B,cons_A2055670914le_alt($f5(B,A),nil_Ar965638354le_alt)))|$f6(B,A)!=nil_Ar965638354le_alt|hBOOL(hAPP_l1656811191t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=21): 14 [] A=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(B,cons_A2055670914le_alt($f5(B,A),nil_Ar965638354le_alt)))|hBOOL(hAPP_l1656811191t_bool(B,$f6(B,A)))|hBOOL(hAPP_l1656811191t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=25): 15 [] A=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(B,cons_A2055670914le_alt($f5(B,A),nil_Ar965638354le_alt)))| -hBOOL(hAPP_l1656811191t_bool(B,cons_A2055670914le_alt($f7(B,A),$f6(B,A))))|hBOOL(hAPP_l1656811191t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=12): 16 [] A=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,butlas2101875742le_alt(A))).
% 2.03/2.18 ** KEPT (pick-wt=10): 17 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,insert1800010984le_alt(B,A))).
% 2.03/2.18 ** KEPT (pick-wt=9): 18 [] A!=nil_Ar965638354le_alt|butlas2101875742le_alt(cons_A2055670914le_alt(B,A))=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=7): 19 [] A!=nil_Ar965638354le_alt|hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,A)).
% 2.03/2.18 ** KEPT (pick-wt=7): 20 [] A=nil_Ar965638354le_alt| -hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,A)).
% 2.03/2.18 Following clause subsumed by 20 during input processing: 0 [] -hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,A))|A=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 19 during input processing: 0 [] hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,A))|A!=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=6): 21 [] -hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,cons_A2055670914le_alt(A,B))).
% 2.03/2.18 ** KEPT (pick-wt=25): 23 [copy,22,flip.2] append2006010343le_alt(A,B)!=append2006010343le_alt(C,D)|append2006010343le_alt(C,$f8(A,B,C,D))=A|append2006010343le_alt(A,$f8(A,B,C,D))=C.
% 2.03/2.18 ** KEPT (pick-wt=25): 25 [copy,24,flip.2,flip.3] append2006010343le_alt(A,B)!=append2006010343le_alt(C,D)|append2006010343le_alt(C,$f8(A,B,C,D))=A|append2006010343le_alt($f8(A,B,C,D),D)=B.
% 2.03/2.18 ** KEPT (pick-wt=25): 26 [] append2006010343le_alt(A,B)!=append2006010343le_alt(C,D)|append2006010343le_alt($f8(A,B,C,D),B)=D|append2006010343le_alt(A,$f8(A,B,C,D))=C.
% 2.03/2.18 ** KEPT (pick-wt=25): 28 [copy,27,flip.3] append2006010343le_alt(A,B)!=append2006010343le_alt(C,D)|append2006010343le_alt($f8(A,B,C,D),B)=D|append2006010343le_alt($f8(A,B,C,D),D)=B.
% 2.03/2.18 ** KEPT (pick-wt=17): 29 [] append2006010343le_alt(A,B)=append2006010343le_alt(C,D)|A!=append2006010343le_alt(C,E)|append2006010343le_alt(E,B)!=D.
% 2.03/2.18 ** KEPT (pick-wt=17): 30 [] append2006010343le_alt(A,B)=append2006010343le_alt(C,D)|append2006010343le_alt(A,E)!=C|B!=append2006010343le_alt(E,D).
% 2.03/2.18 ** KEPT (pick-wt=10): 31 [] append2006010343le_alt(A,B)!=append2006010343le_alt(A,C)|B=C.
% 2.03/2.18 ** KEPT (pick-wt=10): 32 [] append2006010343le_alt(A,B)=append2006010343le_alt(A,C)|B!=C.
% 2.03/2.18 ** KEPT (pick-wt=10): 33 [] append2006010343le_alt(A,B)!=append2006010343le_alt(C,B)|A=C.
% 2.03/2.18 ** KEPT (pick-wt=10): 34 [] append2006010343le_alt(A,B)=append2006010343le_alt(C,B)|A!=C.
% 2.03/2.18 Following clause subsumed by 30 during input processing: 0 [] append2006010343le_alt(A,B)!=C|D!=append2006010343le_alt(B,E)|append2006010343le_alt(A,D)=append2006010343le_alt(C,E).
% 2.03/2.18 ** KEPT (pick-wt=17): 35 [] cons_A2055670914le_alt(A,B)!=C|D!=append2006010343le_alt(B,E)|cons_A2055670914le_alt(A,D)=append2006010343le_alt(C,E).
% 2.03/2.18 ** KEPT (pick-wt=8): 37 [copy,36,flip.1] append2006010343le_alt(A,B)!=nil_Ar965638354le_alt|A=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=8): 39 [copy,38,flip.1] append2006010343le_alt(A,B)!=nil_Ar965638354le_alt|B=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=11): 41 [copy,40,flip.1] append2006010343le_alt(A,B)=nil_Ar965638354le_alt|A!=nil_Ar965638354le_alt|B!=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=8): 43 [copy,42,flip.1] append2006010343le_alt(A,B)!=A|B=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=8): 45 [copy,44,flip.1] append2006010343le_alt(A,B)=A|B!=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=8): 47 [copy,46,flip.1] append2006010343le_alt(A,B)!=B|A=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=8): 49 [copy,48,flip.1] append2006010343le_alt(A,B)=B|A!=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 37 during input processing: 0 [] append2006010343le_alt(A,B)!=nil_Ar965638354le_alt|A=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 39 during input processing: 0 [] append2006010343le_alt(A,B)!=nil_Ar965638354le_alt|B=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 41 during input processing: 0 [] append2006010343le_alt(A,B)=nil_Ar965638354le_alt|A!=nil_Ar965638354le_alt|B!=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 43 during input processing: 0 [] append2006010343le_alt(A,B)!=A|B=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 45 during input processing: 0 [] append2006010343le_alt(A,B)=A|B!=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 47 during input processing: 0 [] append2006010343le_alt(A,B)!=B|A=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 49 during input processing: 0 [] append2006010343le_alt(A,B)=B|A!=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=8): 50 [] A!=B|A=append2006010343le_alt(nil_Ar965638354le_alt,B).
% 2.03/2.18 ** KEPT (pick-wt=19): 52 [copy,51,flip.3] append2006010343le_alt(A,B)!=cons_A2055670914le_alt(C,D)|A=nil_Ar965638354le_alt|cons_A2055670914le_alt(C,$f9(A,B,C,D))=A.
% 2.03/2.18 ** KEPT (pick-wt=19): 53 [] append2006010343le_alt(A,B)!=cons_A2055670914le_alt(C,D)|A=nil_Ar965638354le_alt|append2006010343le_alt($f9(A,B,C,D),B)=D.
% 2.03/2.18 ** KEPT (pick-wt=21): 55 [copy,54,flip.3] append2006010343le_alt(A,B)!=cons_A2055670914le_alt(C,D)|B=cons_A2055670914le_alt(C,D)|cons_A2055670914le_alt(C,$f9(A,B,C,D))=A.
% 2.03/2.18 ** KEPT (pick-wt=21): 56 [] append2006010343le_alt(A,B)!=cons_A2055670914le_alt(C,D)|B=cons_A2055670914le_alt(C,D)|append2006010343le_alt($f9(A,B,C,D),B)=D.
% 2.03/2.18 ** KEPT (pick-wt=15): 57 [] append2006010343le_alt(A,B)=cons_A2055670914le_alt(C,D)|A!=nil_Ar965638354le_alt|B!=cons_A2055670914le_alt(C,D).
% 2.03/2.18 ** KEPT (pick-wt=17): 58 [] append2006010343le_alt(A,B)=cons_A2055670914le_alt(C,D)|A!=cons_A2055670914le_alt(C,E)|append2006010343le_alt(E,B)!=D.
% 2.03/2.18 ** KEPT (pick-wt=19): 59 [] cons_A2055670914le_alt(A,B)!=append2006010343le_alt(C,D)|C=nil_Ar965638354le_alt|cons_A2055670914le_alt(A,$f10(A,B,C,D))=C.
% 2.03/2.18 ** KEPT (pick-wt=19): 61 [copy,60,flip.3] cons_A2055670914le_alt(A,B)!=append2006010343le_alt(C,D)|C=nil_Ar965638354le_alt|append2006010343le_alt($f10(A,B,C,D),D)=B.
% 2.03/2.18 ** KEPT (pick-wt=21): 62 [] cons_A2055670914le_alt(A,B)!=append2006010343le_alt(C,D)|cons_A2055670914le_alt(A,B)=D|cons_A2055670914le_alt(A,$f10(A,B,C,D))=C.
% 2.03/2.18 ** KEPT (pick-wt=21): 64 [copy,63,flip.3] cons_A2055670914le_alt(A,B)!=append2006010343le_alt(C,D)|cons_A2055670914le_alt(A,B)=D|append2006010343le_alt($f10(A,B,C,D),D)=B.
% 2.03/2.18 ** KEPT (pick-wt=15): 65 [] cons_A2055670914le_alt(A,B)=append2006010343le_alt(C,D)|C!=nil_Ar965638354le_alt|cons_A2055670914le_alt(A,B)!=D.
% 2.03/2.18 Following clause subsumed by 35 during input processing: 0 [] cons_A2055670914le_alt(A,B)=append2006010343le_alt(C,D)|cons_A2055670914le_alt(A,E)!=C|B!=append2006010343le_alt(E,D).
% 2.03/2.18 ** KEPT (pick-wt=18): 66 [] -is_Arr553848933le_alt(A)| -is_Arr553848933le_alt(B)|append2006010343le_alt(C,cons_A2055670914le_alt(A,nil_Ar965638354le_alt))!=append2006010343le_alt(D,cons_A2055670914le_alt(B,nil_Ar965638354le_alt))|C=D.
% 2.03/2.18 ** KEPT (pick-wt=18): 67 [] -is_Arr553848933le_alt(A)| -is_Arr553848933le_alt(B)|append2006010343le_alt(C,cons_A2055670914le_alt(A,nil_Ar965638354le_alt))!=append2006010343le_alt(D,cons_A2055670914le_alt(B,nil_Ar965638354le_alt))|A=B.
% 2.03/2.18 ** KEPT (pick-wt=21): 68 [] -is_Arr553848933le_alt(A)| -is_Arr553848933le_alt(B)|append2006010343le_alt(C,cons_A2055670914le_alt(A,nil_Ar965638354le_alt))=append2006010343le_alt(D,cons_A2055670914le_alt(B,nil_Ar965638354le_alt))|C!=D|A!=B.
% 2.03/2.18 ** KEPT (pick-wt=10): 69 [] A!=nil_Ar965638354le_alt|butlas2101875742le_alt(append2006010343le_alt(B,A))=butlas2101875742le_alt(B).
% 2.03/2.18 ** KEPT (pick-wt=12): 70 [] -hBOOL(hAPP_l1656811191t_bool(A,nil_Ar965638354le_alt))|is_Arr553848933le_alt($f12(B,A))|hBOOL(hAPP_l1656811191t_bool(A,B)).
% 2.03/2.18 ** KEPT (pick-wt=14): 71 [] -hBOOL(hAPP_l1656811191t_bool(A,nil_Ar965638354le_alt))|hBOOL(hAPP_l1656811191t_bool(A,$f11(B,A)))|hBOOL(hAPP_l1656811191t_bool(A,B)).
% 2.03/2.18 ** KEPT (pick-wt=20): 72 [] -hBOOL(hAPP_l1656811191t_bool(A,nil_Ar965638354le_alt))| -hBOOL(hAPP_l1656811191t_bool(A,append2006010343le_alt($f11(B,A),cons_A2055670914le_alt($f12(B,A),nil_Ar965638354le_alt))))|hBOOL(hAPP_l1656811191t_bool(A,B)).
% 2.03/2.18 ** KEPT (pick-wt=10): 73 [] -hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,A),nil_Ar965638354le_alt))|hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,A)).
% 2.03/2.18 ** KEPT (pick-wt=10): 74 [] hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,A),nil_Ar965638354le_alt))| -hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,A)).
% 2.03/2.18 ** KEPT (pick-wt=12): 75 [] -is_Arr553848933le_alt(A)|append2006010343le_alt(B,cons_A2055670914le_alt(A,nil_Ar965638354le_alt))!=C|C!=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=13): 76 [] -is_Arr553848933le_alt(A)|append2006010343le_alt(B,cons_A2055670914le_alt(A,nil_Ar965638354le_alt))!=C|butlas2101875742le_alt(C)=B.
% 2.03/2.18 ** KEPT (pick-wt=13): 77 [] -is_Arr553848933le_alt(A)|append2006010343le_alt(B,cons_A2055670914le_alt(A,nil_Ar965638354le_alt))!=C|last_A896759531le_alt(C)=A.
% 2.03/2.18 ** KEPT (pick-wt=20): 78 [] -is_Arr553848933le_alt(A)|append2006010343le_alt(B,cons_A2055670914le_alt(A,nil_Ar965638354le_alt))=C|C=nil_Ar965638354le_alt|butlas2101875742le_alt(C)!=B|last_A896759531le_alt(C)!=A.
% 2.03/2.18 ** KEPT (pick-wt=9): 79 [] -hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,A),B))|A=B.
% 2.03/2.18 ** KEPT (pick-wt=9): 80 [] hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,A),B))|A!=B.
% 2.03/2.18 ** KEPT (pick-wt=7): 81 [] rotate14793503le_alt(A)!=nil_Ar965638354le_alt|A=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=7): 82 [] rotate14793503le_alt(A)=nil_Ar965638354le_alt|A!=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=9): 83 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rotate14793503le_alt(A)))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A)).
% 2.03/2.18 ** KEPT (pick-wt=9): 84 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rotate14793503le_alt(A)))| -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A)).
% 2.03/2.18 ** KEPT (pick-wt=11): 85 [] -is_Arr553848933le_alt(A)|B!=nil_Ar965638354le_alt|last_A896759531le_alt(cons_A2055670914le_alt(A,B))=A.
% 2.03/2.18 Following clause subsumed by 85 during input processing: 0 [] -is_Arr553848933le_alt(A)|B!=nil_Ar965638354le_alt|last_A896759531le_alt(cons_A2055670914le_alt(A,B))=A.
% 2.03/2.18 ** KEPT (pick-wt=12): 86 [] -is_Arr553848933le_alt(A)|B=nil_Ar965638354le_alt|last_A896759531le_alt(cons_A2055670914le_alt(A,B))=last_A896759531le_alt(B).
% 2.03/2.18 ** KEPT (pick-wt=10): 87 [] A!=nil_Ar965638354le_alt|last_A896759531le_alt(append2006010343le_alt(B,A))=last_A896759531le_alt(B).
% 2.03/2.18 Following clause subsumed by 87 during input processing: 0 [] A!=nil_Ar965638354le_alt|last_A896759531le_alt(append2006010343le_alt(B,A))=last_A896759531le_alt(B).
% 2.03/2.18 ** KEPT (pick-wt=10): 88 [] -is_Arr553848933le_alt(A)|last_A896759531le_alt(append2006010343le_alt(B,cons_A2055670914le_alt(A,nil_Ar965638354le_alt)))=A.
% 2.03/2.18 Following clause subsumed by 79 during input processing: 0 [] -hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,A),B))|A=B.
% 2.03/2.18 Following clause subsumed by 80 during input processing: 0 [] hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,A),B))|A!=B.
% 2.03/2.18 ** KEPT (pick-wt=14): 89 [] rev_Ar785851186le_alt(A)!=cons_A2055670914le_alt(B,C)|A=append2006010343le_alt(rev_Ar785851186le_alt(C),cons_A2055670914le_alt(B,nil_Ar965638354le_alt)).
% 2.03/2.18 ** KEPT (pick-wt=14): 90 [] rev_Ar785851186le_alt(A)=cons_A2055670914le_alt(B,C)|A!=append2006010343le_alt(rev_Ar785851186le_alt(C),cons_A2055670914le_alt(B,nil_Ar965638354le_alt)).
% 2.03/2.18 ** KEPT (pick-wt=8): 91 [] rev_Ar785851186le_alt(A)!=rev_Ar785851186le_alt(B)|A=B.
% 2.03/2.18 ** KEPT (pick-wt=8): 92 [] rev_Ar785851186le_alt(A)=rev_Ar785851186le_alt(B)|A!=B.
% 2.03/2.18 ** KEPT (pick-wt=8): 93 [] rev_Ar785851186le_alt(A)!=B|A=rev_Ar785851186le_alt(B).
% 2.03/2.18 ** KEPT (pick-wt=8): 94 [] rev_Ar785851186le_alt(A)=B|A!=rev_Ar785851186le_alt(B).
% 2.03/2.18 ** KEPT (pick-wt=9): 95 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rev_Ar785851186le_alt(A)))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A)).
% 2.03/2.18 ** KEPT (pick-wt=9): 96 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,rev_Ar785851186le_alt(A)))| -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A)).
% 2.03/2.18 ** KEPT (pick-wt=7): 98 [copy,97,flip.1] rev_Ar785851186le_alt(A)!=nil_Ar965638354le_alt|A=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=7): 100 [copy,99,flip.1] rev_Ar785851186le_alt(A)=nil_Ar965638354le_alt|A!=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 98 during input processing: 0 [] rev_Ar785851186le_alt(A)!=nil_Ar965638354le_alt|A=nil_Ar965638354le_alt.
% 2.03/2.18 Following clause subsumed by 100 during input processing: 0 [] rev_Ar785851186le_alt(A)=nil_Ar965638354le_alt|A!=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=11): 101 [] cons_A2055670914le_alt(A,nil_Ar965638354le_alt)!=rev_Ar785851186le_alt(B)|B=cons_A2055670914le_alt(A,nil_Ar965638354le_alt).
% 2.03/2.18 ** KEPT (pick-wt=11): 102 [] cons_A2055670914le_alt(A,nil_Ar965638354le_alt)=rev_Ar785851186le_alt(B)|B!=cons_A2055670914le_alt(A,nil_Ar965638354le_alt).
% 2.03/2.18 ** KEPT (pick-wt=11): 103 [] rev_Ar785851186le_alt(A)!=cons_A2055670914le_alt(B,nil_Ar965638354le_alt)|A=cons_A2055670914le_alt(B,nil_Ar965638354le_alt).
% 2.03/2.18 ** KEPT (pick-wt=11): 104 [] rev_Ar785851186le_alt(A)=cons_A2055670914le_alt(B,nil_Ar965638354le_alt)|A!=cons_A2055670914le_alt(B,nil_Ar965638354le_alt).
% 2.03/2.18 ** KEPT (pick-wt=8): 105 [] -is_Arr553848933le_alt(A)|hd_Arr1645127589le_alt(cons_A2055670914le_alt(A,B))=A.
% 2.03/2.18 ** KEPT (pick-wt=10): 106 [] A!=nil_Ar965638354le_alt|hd_Arr1645127589le_alt(append2006010343le_alt(A,B))=hd_Arr1645127589le_alt(B).
% 2.03/2.18 ** KEPT (pick-wt=12): 107 [] dropWh996226163le_alt(A,B)=nil_Ar965638354le_alt| -hBOOL(hAPP_A1960806890t_bool(A,hd_Arr1645127589le_alt(dropWh996226163le_alt(A,B)))).
% 2.03/2.18 ** KEPT (pick-wt=9): 108 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,tl_Arr144895401le_alt(A))).
% 2.03/2.18 ** KEPT (pick-wt=10): 109 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A))|hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,dropWh996226163le_alt(B,A))).
% 2.03/2.18 ** KEPT (pick-wt=13): 110 [] -hBOOL(hAPP_A1960806890t_bool(A,B))|dropWh996226163le_alt(A,cons_A2055670914le_alt(B,C))=dropWh996226163le_alt(A,C).
% 2.03/2.18 ** KEPT (pick-wt=9): 111 [] -hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(fe_qual331800088le_alt,A),B))|A=B.
% 2.03/2.18 ** KEPT (pick-wt=9): 112 [] A!=B|hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(fe_qual331800088le_alt,A),B)).
% 2.03/2.18 ** KEPT (pick-wt=3): 114 [copy,113,flip.1] b!=a.
% 2.03/2.18 ** KEPT (pick-wt=10): 115 [] -hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,cons_A2055670914le_alt(a,cons_A2055670914le_alt(b,cons_A2055670914le_alt(A,nil_Ar965638354le_alt))))).
% 2.03/2.18
% 2.03/2.18 ------------> process sos:
% 2.03/2.18 ** KEPT (pick-wt=3): 130 [] A=A.
% 2.03/2.18 ** KEPT (pick-wt=3): 131 [] is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)).
% 2.03/2.18 ** KEPT (pick-wt=3): 132 [] is_Arr553848933le_alt(hd_Arr1645127589le_alt(A)).
% 2.03/2.18 ** KEPT (pick-wt=3): 133 [] is_Arr553848933le_alt(last_A896759531le_alt(A)).
% 2.03/2.18 ** KEPT (pick-wt=4): 134 [] is_bool(hAPP_l1656811191t_bool(A,B)).
% 2.03/2.18 ** KEPT (pick-wt=2): 135 [] is_Arr553848933le_alt(a).
% 2.03/2.18 ** KEPT (pick-wt=2): 136 [] is_Arr553848933le_alt(b).
% 2.03/2.18 ** KEPT (pick-wt=2): 137 [] is_Arr553848933le_alt($c3).
% 2.03/2.18 ** KEPT (pick-wt=2): 138 [] is_Arr553848933le_alt($c2).
% 2.03/2.18 ** KEPT (pick-wt=2): 139 [] is_Arr553848933le_alt($c1).
% 2.03/2.18 ** KEPT (pick-wt=10): 140 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,cons_A2055670914le_alt($c3,cons_A2055670914le_alt($c2,cons_A2055670914le_alt($c1,nil_Ar965638354le_alt))))).
% 2.03/2.18 ** KEPT (pick-wt=4): 141 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,nil_Ar965638354le_alt)).
% 2.03/2.18 ** KEPT (pick-wt=6): 142 [] A=nil_Ar965638354le_alt|is_Arr553848933le_alt($f2(A)).
% 2.03/2.18 ** KEPT (pick-wt=10): 144 [copy,143,flip.2] A=nil_Ar965638354le_alt|cons_A2055670914le_alt($f2(A),$f1(A))=A.
% 2.03/2.18 ** KEPT (pick-wt=6): 145 [] A=nil_Ar965638354le_alt|is_Arr553848933le_alt($f4(A)).
% 2.03/2.18 ** KEPT (pick-wt=10): 147 [copy,146,flip.2] A=nil_Ar965638354le_alt|cons_A2055670914le_alt($f4(A),$f3(A))=A.
% 2.03/2.18 ** KEPT (pick-wt=9): 148 [] splice1200342693le_alt(cons_A2055670914le_alt(A,B),nil_Ar965638354le_alt)=cons_A2055670914le_alt(A,B).
% 2.03/2.18 ---> New Demodulator: 149 [new_demod,148] splice1200342693le_alt(cons_A2055670914le_alt(A,B),nil_Ar965638354le_alt)=cons_A2055670914le_alt(A,B).
% 2.03/2.18 ** KEPT (pick-wt=7): 150 [] insert1800010984le_alt(A,nil_Ar965638354le_alt)=cons_A2055670914le_alt(A,nil_Ar965638354le_alt).
% 2.03/2.18 ---> New Demodulator: 151 [new_demod,150] insert1800010984le_alt(A,nil_Ar965638354le_alt)=cons_A2055670914le_alt(A,nil_Ar965638354le_alt).
% 2.03/2.18 ** KEPT (pick-wt=15): 152 [] A=nil_Ar965638354le_alt|is_Arr553848933le_alt($f5(B,A))|is_Arr553848933le_alt($f7(B,A))|hBOOL(hAPP_l1656811191t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=17): 153 [] A=nil_Ar965638354le_alt|is_Arr553848933le_alt($f5(B,A))|hBOOL(hAPP_l1656811191t_bool(B,$f6(B,A)))|hBOOL(hAPP_l1656811191t_bool(B,A)).
% 2.03/2.18 ** KEPT (pick-wt=4): 154 [] butlas2101875742le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 ---> New Demodulator: 155 [new_demod,154] butlas2101875742le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=15): 156 [] splice1200342693le_alt(cons_A2055670914le_alt(A,B),cons_A2055670914le_alt(C,D))=cons_A2055670914le_alt(A,cons_A2055670914le_alt(C,splice1200342693le_alt(B,D))).
% 2.03/2.18 ---> New Demodulator: 157 [new_demod,156] splice1200342693le_alt(cons_A2055670914le_alt(A,B),cons_A2055670914le_alt(C,D))=cons_A2055670914le_alt(A,cons_A2055670914le_alt(C,splice1200342693le_alt(B,D))).
% 2.03/2.18 ** KEPT (pick-wt=5): 158 [] splice1200342693le_alt(A,nil_Ar965638354le_alt)=A.
% 2.03/2.18 ---> New Demodulator: 159 [new_demod,158] splice1200342693le_alt(A,nil_Ar965638354le_alt)=A.
% 2.03/2.18 ** KEPT (pick-wt=5): 160 [] splice1200342693le_alt(nil_Ar965638354le_alt,A)=A.
% 2.03/2.18 ---> New Demodulator: 161 [new_demod,160] splice1200342693le_alt(nil_Ar965638354le_alt,A)=A.
% 2.03/2.18 ** KEPT (pick-wt=12): 162 [] A=nil_Ar965638354le_alt|butlas2101875742le_alt(cons_A2055670914le_alt(B,A))=cons_A2055670914le_alt(B,butlas2101875742le_alt(A)).
% 2.03/2.18 ** KEPT (pick-wt=4): 163 [] hBOOL(hAPP_l1656811191t_bool(null_A1200409306le_alt,nil_Ar965638354le_alt)).
% 2.03/2.18 ** KEPT (pick-wt=8): 164 [] butlas2101875742le_alt(append2006010343le_alt(A,cons_A2055670914le_alt(B,nil_Ar965638354le_alt)))=A.
% 2.03/2.18 ---> New Demodulator: 165 [new_demod,164] butlas2101875742le_alt(append2006010343le_alt(A,cons_A2055670914le_alt(B,nil_Ar965638354le_alt)))=A.
% 2.03/2.18 ** KEPT (pick-wt=11): 166 [] append2006010343le_alt(append2006010343le_alt(A,B),C)=append2006010343le_alt(A,append2006010343le_alt(B,C)).
% 2.03/2.18 ---> New Demodulator: 167 [new_demod,166] append2006010343le_alt(append2006010343le_alt(A,B),C)=append2006010343le_alt(A,append2006010343le_alt(B,C)).
% 2.03/2.18 ** KEPT (pick-wt=11): 169 [copy,168,flip.1] cons_A2055670914le_alt(A,append2006010343le_alt(B,C))=append2006010343le_alt(cons_A2055670914le_alt(A,B),C).
% 2.03/2.18 ---> New Demodulator: 170 [new_demod,169] cons_A2055670914le_alt(A,append2006010343le_alt(B,C))=append2006010343le_alt(cons_A2055670914le_alt(A,B),C).
% 2.03/2.18 ** KEPT (pick-wt=5): 171 [] append2006010343le_alt(nil_Ar965638354le_alt,A)=A.
% 2.03/2.18 ---> New Demodulator: 172 [new_demod,171] append2006010343le_alt(nil_Ar965638354le_alt,A)=A.
% 2.03/2.18 ** KEPT (pick-wt=5): 173 [] append2006010343le_alt(A,nil_Ar965638354le_alt)=A.
% 2.03/2.18 ---> New Demodulator: 174 [new_demod,173] append2006010343le_alt(A,nil_Ar965638354le_alt)=A.
% 2.03/2.18 ** KEPT (pick-wt=12): 175 [] A=nil_Ar965638354le_alt|butlas2101875742le_alt(append2006010343le_alt(B,A))=append2006010343le_alt(B,butlas2101875742le_alt(A)).
% 2.03/2.18 ** KEPT (pick-wt=6): 176 [] A=nil_Ar965638354le_alt|is_Arr553848933le_alt($f13(A)).
% 2.03/2.18 ** KEPT (pick-wt=12): 178 [copy,177,flip.2] A=nil_Ar965638354le_alt|append2006010343le_alt($f14(A),cons_A2055670914le_alt($f13(A),nil_Ar965638354le_alt))=A.
% 2.03/2.18 ** KEPT (pick-wt=12): 179 [] A=nil_Ar965638354le_alt|append2006010343le_alt(butlas2101875742le_alt(A),cons_A2055670914le_alt(last_A896759531le_alt(A),nil_Ar965638354le_alt))=A.
% 2.03/2.18 ** KEPT (pick-wt=4): 180 [] rotate14793503le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 ---> New Demodulator: 181 [new_demod,180] rotate14793503le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=10): 182 [] rotate14793503le_alt(cons_A2055670914le_alt(A,B))=append2006010343le_alt(B,cons_A2055670914le_alt(A,nil_Ar965638354le_alt)).
% 2.03/2.18 ---> New Demodulator: 183 [new_demod,182] rotate14793503le_alt(cons_A2055670914le_alt(A,B))=append2006010343le_alt(B,cons_A2055670914le_alt(A,nil_Ar965638354le_alt)).
% 2.03/2.18 ** KEPT (pick-wt=10): 184 [] A=nil_Ar965638354le_alt|last_A896759531le_alt(cons_A2055670914le_alt(B,A))=last_A896759531le_alt(A).
% 2.03/2.18 ** KEPT (pick-wt=10): 185 [] A=nil_Ar965638354le_alt|last_A896759531le_alt(append2006010343le_alt(B,A))=last_A896759531le_alt(A).
% 2.03/2.18 Following clause subsumed by 185 during input processing: 0 [] A=nil_Ar965638354le_alt|last_A896759531le_alt(append2006010343le_alt(B,A))=last_A896759531le_alt(A).
% 2.03/2.18 ** KEPT (pick-wt=13): 186 [] maps_A1380093889le_alt(A,cons_A2055670914le_alt(B,C))=append2006010343le_alt(hAPP_A285010404le_alt(A,B),maps_A1380093889le_alt(A,C)).
% 2.03/2.18 ---> New Demodulator: 187 [new_demod,186] maps_A1380093889le_alt(A,cons_A2055670914le_alt(B,C))=append2006010343le_alt(hAPP_A285010404le_alt(A,B),maps_A1380093889le_alt(A,C)).
% 2.03/2.18 ** KEPT (pick-wt=7): 188 [] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A))|is_Arr553848933le_alt($f15(A)).
% 2.03/2.18 ** KEPT (pick-wt=24): 190 [copy,189,flip.2] hBOOL(hAPP_l1656811191t_bool(distin2063252165le_alt,A))|append2006010343le_alt($f18(A),append2006010343le_alt(cons_A2055670914le_alt($f15(A),nil_Ar965638354le_alt),append2006010343le_alt($f17(A),append2006010343le_alt(cons_A2055670914le_alt($f15(A),nil_Ar965638354le_alt),$f16(A)))))=A.
% 2.03/2.18 ** KEPT (pick-wt=3): 192 [copy,191,flip.1] fe_qual331800088le_alt=e_qual_35123829le_alt.
% 2.03/2.18 ---> New Demodulator: 193 [new_demod,192] fe_qual331800088le_alt=e_qual_35123829le_alt.
% 2.03/2.18 ** KEPT (pick-wt=6): 194 [] hBOOL(hAPP_l1656811191t_bool(hAPP_l1565956415t_bool(e_qual_35123829le_alt,A),A)).
% 2.03/2.18 Following clause subsumed by 130 during input processing: 0 [demod,193] e_qual_35123829le_alt=e_qual_35123829le_alt.
% 2.03/2.18 ** KEPT (pick-wt=15): 196 [copy,195,flip.1] cons_A2055670914le_alt(A,hAPP_A285010404le_alt(replic1190983052le_alt(B),A))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(B),A),cons_A2055670914le_alt(A,nil_Ar965638354le_alt)).
% 2.03/2.18 ---> New Demodulator: 197 [new_demod,196] cons_A2055670914le_alt(A,hAPP_A285010404le_alt(replic1190983052le_alt(B),A))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(B),A),cons_A2055670914le_alt(A,nil_Ar965638354le_alt)).
% 2.03/2.18 ** KEPT (pick-wt=11): 198 [] rev_Ar785851186le_alt(cons_A2055670914le_alt(A,B))=append2006010343le_alt(rev_Ar785851186le_alt(B),cons_A2055670914le_alt(A,nil_Ar965638354le_alt)).
% 2.03/2.18 ---> New Demodulator: 199 [new_demod,198] rev_Ar785851186le_alt(cons_A2055670914le_alt(A,B))=append2006010343le_alt(rev_Ar785851186le_alt(B),cons_A2055670914le_alt(A,nil_Ar965638354le_alt)).
% 2.03/2.18 ** KEPT (pick-wt=10): 200 [] rev_Ar785851186le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B))=hAPP_A285010404le_alt(replic1190983052le_alt(A),B).
% 2.03/2.18 ---> New Demodulator: 201 [new_demod,200] rev_Ar785851186le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B))=hAPP_A285010404le_alt(replic1190983052le_alt(A),B).
% 2.03/2.18 ** KEPT (pick-wt=5): 202 [] rev_Ar785851186le_alt(rev_Ar785851186le_alt(A))=A.
% 2.03/2.18 ---> New Demodulator: 203 [new_demod,202] rev_Ar785851186le_alt(rev_Ar785851186le_alt(A))=A.
% 2.03/2.18 ** KEPT (pick-wt=19): 204 [] append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B),hAPP_A285010404le_alt(replic1190983052le_alt(C),B))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(C),B),hAPP_A285010404le_alt(replic1190983052le_alt(A),B)).
% 2.03/2.18 ** KEPT (pick-wt=10): 205 [] rev_Ar785851186le_alt(append2006010343le_alt(A,B))=append2006010343le_alt(rev_Ar785851186le_alt(B),rev_Ar785851186le_alt(A)).
% 2.03/2.18 ---> New Demodulator: 206 [new_demod,205] rev_Ar785851186le_alt(append2006010343le_alt(A,B))=append2006010343le_alt(rev_Ar785851186le_alt(B),rev_Ar785851186le_alt(A)).
% 2.03/2.18 ** KEPT (pick-wt=4): 207 [] rev_Ar785851186le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 ---> New Demodulator: 208 [new_demod,207] rev_Ar785851186le_alt(nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=19): 210 [copy,209,demod,170,197,167] append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B),cons_A2055670914le_alt(B,C))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B),append2006010343le_alt(cons_A2055670914le_alt(B,nil_Ar965638354le_alt),C)).
% 2.03/2.18 ** KEPT (pick-wt=9): 211 [] A=nil_Ar965638354le_alt|hd_Arr1645127589le_alt(rev_Ar785851186le_alt(A))=last_A896759531le_alt(A).
% 2.03/2.18 ** KEPT (pick-wt=9): 212 [] A=nil_Ar965638354le_alt|last_A896759531le_alt(rev_Ar785851186le_alt(A))=hd_Arr1645127589le_alt(A).
% 2.03/2.18 ** KEPT (pick-wt=10): 213 [] A=nil_Ar965638354le_alt|hd_Arr1645127589le_alt(append2006010343le_alt(A,B))=hd_Arr1645127589le_alt(A).
% 2.03/2.18 Following clause subsumed by 213 during input processing: 0 [] A=nil_Ar965638354le_alt|hd_Arr1645127589le_alt(append2006010343le_alt(A,B))=hd_Arr1645127589le_alt(A).
% 2.03/2.18 ** KEPT (pick-wt=13): 215 [copy,214,flip.2] A=nil_Ar965638354le_alt|append2006010343le_alt(tl_Arr144895401le_alt(A),cons_A2055670914le_alt(hd_Arr1645127589le_alt(A),nil_Ar965638354le_alt))=rotate14793503le_alt(A).
% 2.03/2.18 ** KEPT (pick-wt=12): 216 [] A=nil_Ar965638354le_alt|tl_Arr144895401le_alt(append2006010343le_alt(A,B))=append2006010343le_alt(tl_Arr144895401le_alt(A),B).
% 2.03/2.18 ** KEPT (pick-wt=5): 217 [] dropWh996226163le_alt(A,nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 ---> New Demodulator: 218 [new_demod,217] dropWh996226163le_alt(A,nil_Ar965638354le_alt)=nil_Ar965638354le_alt.
% 2.03/2.18 ** KEPT (pick-wt=13): 219 [] hBOOL(hAPP_A1960806890t_bool(A,B))|dropWh996226163le_alt(A,cons_A2055670914le_alt(B,C))=cons_A2055670914le_alt(B,C).
% 2.03/2.18 Following clause subsumed by 130 during input processing: 0 [copy,130,flip.1] A=A.
% 2.03/2.18 130 back subsumes 129.
% 2.03/2.18 130 back subsumes 127.
% 2.03/2.18 130 back subsumes 116.
% 2.03/2.18 >>>> Starting back demodulation with 149.
% 2.03/2.18 >>>> Starting back demodulation with 151.
% 2.03/2.18 >>>> Starting back demodulation with 155.
% 2.03/2.18 >>>> Starting back demodulation with 157.
% 2.03/2.18 >>>> Starting back demodulation with 159.
% 2.03/2.18 >> back demodulating 148 with 159.
% 2.03/2.18 >>>> Starting back demodulation with 161.
% 23.16/23.31 >>>> Starting back demodulation with 165.
% 23.16/23.31 >>>> Starting back demodulation with 167.
% 23.16/23.31 >> back demodulating 126 with 167.
% 23.16/23.31 >> back demodulating 124 with 167.
% 23.16/23.31 >> back demodulating 123 with 167.
% 23.16/23.31 >> back demodulating 122 with 167.
% 23.16/23.31 >>>> Starting back demodulation with 170.
% 23.16/23.31 >>>> Starting back demodulation with 172.
% 23.16/23.31 >> back demodulating 50 with 172.
% 23.16/23.31 >>>> Starting back demodulation with 174.
% 23.16/23.31 >>>> Starting back demodulation with 181.
% 23.16/23.31 >>>> Starting back demodulation with 183.
% 23.16/23.31 184 back subsumes 86.
% 23.16/23.31 >>>> Starting back demodulation with 187.
% 23.16/23.31 >>>> Starting back demodulation with 193.
% 23.16/23.31 >> back demodulating 112 with 193.
% 23.16/23.31 >> back demodulating 111 with 193.
% 23.16/23.31 >>>> Starting back demodulation with 197.
% 23.16/23.31 >>>> Starting back demodulation with 199.
% 23.16/23.31 >>>> Starting back demodulation with 201.
% 23.16/23.31 >>>> Starting back demodulation with 203.
% 23.16/23.31 Following clause subsumed by 204 during input processing: 0 [copy,204,flip.1] append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B),hAPP_A285010404le_alt(replic1190983052le_alt(C),B))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(C),B),hAPP_A285010404le_alt(replic1190983052le_alt(A),B)).
% 23.16/23.31 >>>> Starting back demodulation with 206.
% 23.16/23.31 >>>> Starting back demodulation with 208.
% 23.16/23.31 ** KEPT (pick-wt=19): 224 [copy,210,flip.1] append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B),append2006010343le_alt(cons_A2055670914le_alt(B,nil_Ar965638354le_alt),C))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B),cons_A2055670914le_alt(B,C)).
% 23.16/23.31 >>>> Starting back demodulation with 218.
% 23.16/23.31 Following clause subsumed by 210 during input processing: 0 [copy,224,flip.1] append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B),cons_A2055670914le_alt(B,C))=append2006010343le_alt(hAPP_A285010404le_alt(replic1190983052le_alt(A),B),append2006010343le_alt(cons_A2055670914le_alt(B,nil_Ar965638354le_alt),C)).
% 23.16/23.31
% 23.16/23.31 ======= end of input processing =======
% 23.16/23.31
% 23.16/23.31 =========== start of search ===========
% 23.16/23.31
% 23.16/23.31
% 23.16/23.31 Resetting weight limit to 5.
% 23.16/23.31
% 23.16/23.31
% 23.16/23.31 Resetting weight limit to 5.
% 23.16/23.31
% 23.16/23.31 sos_size=380
% 23.16/23.31
% 23.16/23.31 Search stopped because sos empty.
% 23.16/23.31
% 23.16/23.31
% 23.16/23.31 Search stopped because sos empty.
% 23.16/23.31
% 23.16/23.31 ============ end of search ============
% 23.16/23.31
% 23.16/23.31 -------------- statistics -------------
% 23.16/23.31 clauses given 419
% 23.16/23.31 clauses generated 1820794
% 23.16/23.31 clauses kept 531
% 23.16/23.31 clauses forward subsumed 3553
% 23.16/23.31 clauses back subsumed 5
% 23.16/23.31 Kbytes malloced 6835
% 23.16/23.31
% 23.16/23.31 ----------- times (seconds) -----------
% 23.16/23.31 user CPU time 21.13 (0 hr, 0 min, 21 sec)
% 23.16/23.31 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 23.16/23.31 wall-clock time 23 (0 hr, 0 min, 23 sec)
% 23.16/23.31
% 23.16/23.31 Process 16499 finished Wed Jul 27 09:10:48 2022
% 23.16/23.31 Otter interrupted
% 23.16/23.31 PROOF NOT FOUND
%------------------------------------------------------------------------------