TSTP Solution File: LCL788-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL788-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:05:25 EDT 2022
% Result : Unknown 8.08s 8.26s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL788-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n007.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 09:06:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.79/7.97 ----- Otter 3.3f, August 2004 -----
% 7.79/7.97 The process was started by sandbox2 on n007.cluster.edu,
% 7.79/7.97 Wed Jul 27 09:06:16 2022
% 7.79/7.97 The command was "./otter". The process ID is 12194.
% 7.79/7.97
% 7.79/7.97 set(prolog_style_variables).
% 7.79/7.97 set(auto).
% 7.79/7.97 dependent: set(auto1).
% 7.79/7.97 dependent: set(process_input).
% 7.79/7.97 dependent: clear(print_kept).
% 7.79/7.97 dependent: clear(print_new_demod).
% 7.79/7.97 dependent: clear(print_back_demod).
% 7.79/7.97 dependent: clear(print_back_sub).
% 7.79/7.97 dependent: set(control_memory).
% 7.79/7.97 dependent: assign(max_mem, 12000).
% 7.79/7.97 dependent: assign(pick_given_ratio, 4).
% 7.79/7.97 dependent: assign(stats_level, 1).
% 7.79/7.97 dependent: assign(max_seconds, 10800).
% 7.79/7.97 clear(print_given).
% 7.79/7.97
% 7.79/7.97 list(usable).
% 7.79/7.97 0 [] A=A.
% 7.79/7.97 0 [] c_List_Olist_ONil(T_a)!=c_List_Oreplicate(V_n,V_x,T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.79/7.97 0 [] c_List_Oreplicate(V_n,V_x,T_a)!=c_List_Olist_ONil(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.79/7.97 0 [] c_List_Olist_ONil(T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a).
% 7.79/7.97 0 [] c_List_Ohd(c_List_Oreplicate(V_n,V_x,T_a),T_a)=V_x|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 7.79/7.97 0 [] c_Type_Otyping(V_e,V_t,c_Type_Osko__Type__Xtypes__snocE__1__2(V_Ts,V_e,V_t,V_ts))| -c_Type_Otypings(V_e,c_List_Oappend(V_ts,c_List_Olist_OCons(V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),V_Ts).
% 7.79/7.97 0 [] c_List_Olast(c_List_Oreplicate(V_n,V_x,T_a),T_a)=V_x|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.79/7.97 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a).
% 7.79/7.97 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_x=V_y|V_m=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(V_r).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(V_r)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 7.79/7.97 0 [] -hBOOL(hAPP(V_P,c_List_Ohd(c_List_OdropWhile(V_P,V_xs,T_a),T_a)))|c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_Lambda_OdB_OAbs(V_r)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OAbs(V_r)=V_s.
% 7.79/7.97 0 [] c_Lambda_OdB_OAbs(V_r)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.79/7.97 0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 7.79/7.97 0 [] c_List_Olistsp(V_A,V_xs,T_a)| -c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 7.79/7.97 0 [] c_List_Olistsp(V_A,V_ys,T_a)| -c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 7.79/7.97 0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 7.79/7.97 0 [] c_Type_Otyping(v_ea______,v_ua______,v_T____).
% 7.79/7.97 0 [] c_List_OdropWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_OdropWhile(V_P,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)| -hBOOL(hAPP(V_P,V_y)).
% 7.79/7.97 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(c_InductTermi_OIT,V_s))| -hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))).
% 7.79/7.97 0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 7.79/7.97 0 [] c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,c_List_Osplice(V_xs,V_ys,T_a),T_a),T_a).
% 7.79/7.97 0 [] V_r!=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),V_xa,tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Oappend(V_xa,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.79/7.97 0 [] c_Lambda_OdB_OAbs(V_r)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 7.79/7.97 0 [] c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_OdropWhile(V_P,V_xs,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 7.79/7.97 0 [] c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_rs=V_ss.
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_r=V_s.
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(V_r)|V_s=c_Lambda_OdB_OAbs(V_r).
% 7.79/7.97 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=V_t.
% 7.79/7.97 0 [] c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_OdropWhile(V_P,V_xs,T_a),T_a)=V_xs.
% 7.79/7.97 0 [] c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)| -c_List_Olistsp(V_A,V_ys,T_a)| -c_List_Olistsp(V_A,V_xs,T_a).
% 7.79/7.97 0 [] c_List_Osplice(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 7.79/7.97 0 [] c_List_Osplice(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 7.79/7.97 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 7.79/7.97 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u)=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_ts,c_List_Olist_OCons(V_u,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.79/7.97 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 7.79/7.97 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 7.79/7.97 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.79/7.97 0 [] c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)=c_List_Olist_ONil(tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_x,tc_Lambda_OdB,tc_Lambda_OdB)),V_s)=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.79/7.97 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))| -c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U).
% 7.79/7.97 0 [] c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Oappend(V_ys,V_zs,T_a)|c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__e_q__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)=V_ys|c_List_Olist_OCons(V_x,V_xs,T_a)=V_zs.
% 7.79/7.97 0 [] c_List_Oappend(V_ys,V_zs,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)|c_List_Oappend(c_List_Osko__List__Xappend__e_q__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)=V_xs|V_zs=c_List_Olist_OCons(V_x,V_xs,T_a).
% 7.79/7.97 0 [] c_List_Obutlast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Obutlast(V_xs,T_a),T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=V_x.
% 7.79/7.97 0 [] c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)|V_xs=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a).
% 7.79/7.97 0 [] c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,V_x)).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a).
% 7.79/7.97 0 [] c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a).
% 7.79/7.97 0 [] c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olast(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)=c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a).
% 7.79/7.97 0 [] V_U=c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)| -c_Type_Otypings(V_e,V_ts,V_Ts)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] c_List_Oappend(c_List_Obutlast(V_xs,T_a),c_List_Olist_OCons(c_List_Olast(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a)=V_xs|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______).
% 7.79/7.97 0 [] c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_x.
% 7.79/7.97 0 [] c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)).
% 7.79/7.97 0 [] c_List_Olist_ONil(T_a)=c_List_Orev(c_List_Olist_ONil(T_a),T_a).
% 7.79/7.97 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] c_List_Obutlast(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_x,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)| -c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a).
% 7.79/7.97 0 [] c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)|hBOOL(hAPP(hAPP(V_r,V_y),V_x))| -c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 7.79/7.97 0 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k)=V_u.
% 7.79/7.97 0 [] c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Otl(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 7.79/7.97 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] c_List_Olist_ONil(T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)=c_List_Ofoldl(c_COMBC(V_f,T_b,T_a,T_a),V_a,c_List_Orev(V_xs,T_b),T_a,T_b).
% 7.79/7.97 0 [] c_List_Orev(V_xs,T_a)!=c_List_Orev(V_ys,T_a)|V_xs=V_ys.
% 7.79/7.97 0 [] c_List_Oconcat__map(V_f,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB).
% 7.79/7.97 0 [] c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a)=c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a).
% 7.79/7.97 0 [] c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_xs.
% 7.79/7.97 0 [] c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)|V_xs=V_ys| -c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 7.79/7.97 0 [] c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a)=c_List_Olist_OCons(V_x,c_List_Olist_OCons(c_List_Ohd(V_ys,T_a),c_List_Osplice(V_xs,c_List_Otl(V_ys,T_a),T_a),T_a),T_a)|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] V_xs!=c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)|c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Olist_OCons(V_y,V_ys,T_a)|hBOOL(hAPP(V_P,V_y)).
% 7.79/7.97 0 [] c_List_OdropWhile(V_P,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|V_xs=c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a).
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 7.79/7.97 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 7.79/7.97 0 [] -c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a).
% 7.79/7.97 0 [] -c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a).
% 7.79/7.97 0 [] c_List_Ohd(c_List_Orev(V_xs,T_a),T_a)=c_List_Olast(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 7.79/7.97 0 [] c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a).
% 7.79/7.97 0 [] c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)).
% 7.79/7.97 0 [] c_List_Orev(c_List_Orev(V_xs,T_a),T_a)=V_xs.
% 7.79/7.97 0 [] c_List_Orev(c_List_Orev(V_ys,T_a),T_a)=V_ys.
% 7.79/7.97 0 [] V_xs=c_List_Orev(c_List_Orev(V_xs,T_a),T_a).
% 7.79/7.97 0 [] c_List_Orotate1(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_m=V_n.
% 7.79/7.97 0 [] -hBOOL(hAPP(hAPP(V_r,V_y),V_xa))|c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_x,T_a),c_List_Olist_OCons(V_xa,V_x,T_a),T_a).
% 7.79/7.97 0 [] V_x=V_y|V_xs=V_ys| -c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 7.79/7.97 0 [] c_List_Orotate1(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olast(c_List_Orev(V_xs,T_a),T_a)=c_List_Ohd(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_ListOrder_Ostep1(V_r,c_List_Oappend(V_x,V_vs,T_a),c_List_Oappend(V_x,V_us,T_a),T_a)| -c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a).
% 7.79/7.97 0 [] -c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)|c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,V_x,T_a),c_List_Oappend(V_xs,V_x,T_a),T_a).
% 7.79/7.97 0 [] c_Lambda_OdB_OVar(V_m)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.79/7.97 0 [] c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b)=c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b).
% 7.79/7.97 0 [] c_List_Orotate1(V_xs,T_a)=c_List_Oappend(c_List_Otl(V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_r,V_y),V_x))| -c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)|V_r=V_s.
% 7.79/7.97 0 [] c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)| -c_Type_Otypings(V_e,V_ts,V_Ts)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 7.79/7.97 0 [] c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_OtakeWhile(V_P,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 7.79/7.97 0 [] c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k)=V_t.
% 7.79/7.97 0 [] v_rs____=c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB).
% 7.79/7.97 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_Lambda_OdB_OVar(V_m)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 7.79/7.97 0 [] c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b)=c_List_Ofoldr(c_COMBC(V_f,T_a,T_b,T_a),c_List_Orev(V_xs,T_b),V_a,T_b,T_a).
% 7.79/7.97 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB).
% 7.79/7.97 0 [] c_List_Orev(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a).
% 7.79/7.97 0 [] c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b)=c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b).
% 7.79/7.97 0 [] hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))|hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a)))| -hBOOL(hAPP(V_P,V_xa)).
% 7.79/7.97 0 [] c_List_Oconcat__map(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a)=c_List_Oappend(hAPP(V_f,V_x),c_List_Oconcat__map(V_f,V_xs,T_b,T_a),T_a).
% 7.79/7.97 0 [] hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))|hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a)))| -hBOOL(hAPP(V_P,V_xa)).
% 7.79/7.97 0 [] c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_l,T_a),T_a),T_a)=c_List_OtakeWhile(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 7.79/7.97 0 [] c_List_Oappend(V_ys,V_zs,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)|V_ys=c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__e_q__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)|V_zs=c_List_Olist_OCons(V_x,V_xs,T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Oappend(V_ys,V_zs,T_a)|V_xs=c_List_Oappend(c_List_Osko__List__XCons__e_q__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)|c_List_Olist_OCons(V_x,V_xs,T_a)=V_zs.
% 7.79/7.97 0 [] c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a).
% 7.79/7.97 0 [] c_List_Ohd(c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Ohd(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a)=c_List_Obutlast(V_xs,T_a).
% 7.79/7.97 0 [] c_List_Otl(c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Otl(V_xs,T_a),V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olast(c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Olast(V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a)=c_List_Olast(V_xs,T_a).
% 7.79/7.97 0 [] c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),T_a)=c_List_Ohd(V_ys,T_a).
% 7.79/7.97 0 [] c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(V_xs,c_List_Obutlast(V_ys,T_a),T_a)|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 7.79/7.97 0 [] c_Lambda_OdB_OVar(V_m)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OVar(V_m)=V_s.
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_rs=V_ss.
% 7.79/7.97 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_m=V_n.
% 7.79/7.97 0 [] c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))| -c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T).
% 7.79/7.97 0 [] c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)| -c_Type_Otypings(V_e,V_ts,V_Ts)| -c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)).
% 7.79/7.97 0 [] c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] -c_Type_Otyping(V_e_H,V_u,V_U)| -c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)|c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T).
% 7.79/7.97 0 [] c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)| -c_Type_Otyping(V_e,V_t,V_T).
% 7.79/7.97 0 [] v_T____!=hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)|hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))| -c_Type_Otyping(V_e,V_u,V_T1)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 7.79/7.97 0 [] v_T____!=hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)|hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))| -c_Type_Otyping(V_e,V_u,V_T2)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 7.79/7.97 0 [] c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a).
% 7.79/7.97 0 [] V_ys=V_xs|c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)| -c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a).
% 7.79/7.97 0 [] c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b)=c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b).
% 7.79/7.97 0 [] c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a)=c_List_Olist_OCons(V_y,V_ys,T_a).
% 7.79/7.97 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|V_xs=c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a).
% 7.79/7.97 0 [] hBOOL(hAPP(hAPP(V_r,V_y),V_x))|c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)| -c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a).
% 7.79/7.97 0 [] c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Oappend(V_ys,V_zs,T_a)|c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__e_q__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)=V_ys|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Oappend(V_ys,V_zs,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)|c_List_Oappend(c_List_Osko__List__Xappend__e_q__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] hBOOL(hAPP(hAPP(V_r,V_y),V_x))|V_y=V_x| -c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a).
% 7.79/7.97 0 [] V_ys=V_xs|V_y=V_x| -c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a).
% 7.79/7.97 0 [] c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a)=V_xs.
% 7.79/7.97 0 [] c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a)=V_x.
% 7.79/7.97 0 [] c_List_Oappend(V_ys,V_zs,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)|V_ys=c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__e_q__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Oappend(V_ys,V_zs,T_a)|V_xs=c_List_Oappend(c_List_Osko__List__XCons__e_q__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] V_T=V_U| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 7.79/7.97 0 [] c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T))| -c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T).
% 7.79/7.97 0 [] c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____).
% 7.79/7.97 0 [] c_Type_Otyping(v_e____,v_u____,v_T____).
% 7.79/7.97 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____).
% 7.79/7.97 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 7.79/7.97 0 [] c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a)=hAPP(V_f1,V_nat).
% 7.79/7.97 0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,V_xs,T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 7.79/7.97 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 7.79/7.97 0 [] -hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))).
% 7.79/7.97 0 [] -hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a)=c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a)=c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a).
% 7.79/7.97 0 [] c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a)=c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 7.79/7.97 0 [] c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a)=c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a).
% 7.79/7.97 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 7.79/7.97 0 [] hBOOL(hAPP(V_P,V_T))| -hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))).
% 7.79/7.97 0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 7.79/7.97 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 7.79/7.97 0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 7.79/7.97 0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 7.79/7.97 0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 7.79/7.97 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 7.79/7.97 0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 7.79/7.97 0 [] c_Type_Otype_OAtom(V_nat)!=c_Type_Otype_OAtom(V_nat_H)|V_nat=V_nat_H.
% 7.79/7.97 0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 7.79/7.97 0 [] v_n____=v_i____.
% 7.79/7.97 0 [] hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x)=V_T.
% 7.79/7.97 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 7.79/7.97 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____).
% 7.79/7.97 0 [] c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a)=hAPP(V_f1,V_nat).
% 7.79/7.97 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)|V_dB2=V_dB2_H.
% 7.79/7.97 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)|V_dB1=V_dB1_H.
% 7.79/7.97 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 7.79/7.97 0 [] c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)| -c_Type_Otyping(V_env,V_t,V_T)| -c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)).
% 7.79/7.97 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 7.79/7.97 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 7.79/7.97 0 [] c_List_Olist_OCons(V_a,V_list,T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a)|V_a=V_a_H.
% 7.79/7.97 0 [] c_List_Olist_OCons(V_a,V_list,T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a)|V_list=V_list_H.
% 7.79/7.97 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 7.79/7.97 0 [] c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)!=c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)|V_xs=V_ys.
% 7.86/7.97 0 [] c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)!=c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)|V_x=V_y.
% 7.86/7.97 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 7.86/7.97 0 [] c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a)=c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a).
% 7.86/7.97 0 [] c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a)=c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a).
% 7.86/7.97 0 [] c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a)=c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a).
% 7.86/7.97 0 [] c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a)=c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a).
% 7.86/7.97 0 [] hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)!=c_Type_Otype_OAtom(V_nat).
% 7.86/7.97 0 [] hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2)!=hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)|V_type1=V_type1_H.
% 7.86/7.97 0 [] hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2)!=hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)|V_type2=V_type2_H.
% 7.86/7.97 0 [] c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a)=hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)).
% 7.86/7.97 0 [] c_Type_Osko__Type__Xtype__induct__1__1(V_P)!=hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)|hBOOL(hAPP(V_P,V_T))|hBOOL(hAPP(V_P,V_T2)).
% 7.86/7.97 0 [] c_Type_Osko__Type__Xtype__induct__1__1(V_P)!=hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x)|hBOOL(hAPP(V_P,V_T))|hBOOL(hAPP(V_P,V_T1a)).
% 7.86/7.97 0 [] c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a)=c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a).
% 7.86/7.97 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))).
% 7.86/7.97 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 7.86/7.97 0 [] c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a)=V_a.
% 7.86/7.97 0 [] c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a)=hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)).
% 7.86/7.97 0 [] c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a)=hAPP(hAPP(V_f2,V_type1),V_type2).
% 7.86/7.97 0 [] -hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_xa),V_xb),t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))).
% 7.86/7.97 0 [] -hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))).
% 7.86/7.97 0 [] c_Type_Otype_OAtom(V_nat)!=hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H).
% 7.86/7.97 0 [] v_n____=v_i____.
% 7.86/7.97 0 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))).
% 7.86/7.97 0 [] v_T____!=hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 7.86/7.97 0 [] c_fe_qual(V_x,V_x,T_a).
% 7.86/7.97 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 7.86/7.97 end_of_list.
% 7.86/7.97
% 7.86/7.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 7.86/7.97
% 7.86/7.97 This ia a non-Horn set with equality. The strategy will be
% 7.86/7.97 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 7.86/7.97 deletion, with positive clauses in sos and nonpositive
% 7.86/7.97 clauses in usable.
% 7.86/7.97
% 7.86/7.97 dependent: set(knuth_bendix).
% 7.86/7.97 dependent: set(anl_eq).
% 7.86/7.97 dependent: set(para_from).
% 7.86/7.97 dependent: set(para_into).
% 7.86/7.97 dependent: clear(para_from_right).
% 7.86/7.97 dependent: clear(para_into_right).
% 7.86/7.97 dependent: set(para_from_vars).
% 7.86/7.97 dependent: set(eq_units_both_ways).
% 7.86/7.97 dependent: set(dynamic_demod_all).
% 7.86/7.97 dependent: set(dynamic_demod).
% 7.86/7.97 dependent: set(order_eq).
% 7.86/7.97 dependent: set(back_demod).
% 7.86/7.97 dependent: set(lrpo).
% 7.86/7.97 dependent: set(hyper_res).
% 7.86/7.97 dependent: set(unit_deletion).
% 7.86/7.97 dependent: set(factor).
% 7.86/7.97
% 7.86/7.97 ------------> process usable:
% 7.86/7.97 ** KEPT (pick-wt=11): 1 [] c_List_Olist_ONil(A)!=c_List_Oreplicate(B,C,A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.86/7.97 ** KEPT (pick-wt=11): 2 [] c_List_Oreplicate(A,B,C)!=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.86/7.97 ** KEPT (pick-wt=19): 3 [] c_Type_Otyping(A,B,c_Type_Osko__Type__Xtypes__snocE__1__2(C,A,B,D))| -c_Type_Otypings(A,c_List_Oappend(D,c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),C).
% 7.86/7.97 ** KEPT (pick-wt=16): 4 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|B=E|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.86/7.97 ** KEPT (pick-wt=9): 5 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 7.86/7.97 ** KEPT (pick-wt=13): 6 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(C)|B=c_List_Olist_ONil(tc_Lambda_OdB).
% 7.86/7.97 ** KEPT (pick-wt=16): 7 [] -hBOOL(hAPP(A,c_List_Ohd(c_List_OdropWhile(A,B,C),C)))|c_List_OdropWhile(A,B,C)=c_List_Olist_ONil(C).
% 7.86/7.97 ** KEPT (pick-wt=13): 8 [] c_Lambda_OdB_OAbs(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OAbs(A)=B.
% 7.86/7.97 ** KEPT (pick-wt=11): 9 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(B,D,C),C).
% 7.86/7.97 ** KEPT (pick-wt=11): 10 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(D,B,C),C).
% 7.86/7.97 ** KEPT (pick-wt=13): 11 [] c_List_OdropWhile(A,B,C)!=c_List_Olist_OCons(D,E,C)| -hBOOL(hAPP(A,D)).
% 7.86/7.97 ** KEPT (pick-wt=5): 12 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 7.86/7.97 ** KEPT (pick-wt=31): 13 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B),C,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(c_InductTermi_OIT,B))| -hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)),C,tc_Lambda_OdB,tc_Lambda_OdB))).
% 7.86/7.97 ** KEPT (pick-wt=8): 14 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 7.86/7.97 ** KEPT (pick-wt=35): 16 [copy,15,flip.1,flip.2] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),C,tc_Lambda_OdB,tc_Lambda_OdB)!=A|c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Oappend(C,c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 7.86/7.97 ** KEPT (pick-wt=13): 17 [] c_Lambda_OdB_OAbs(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|C=c_List_Olist_ONil(tc_Lambda_OdB).
% 7.86/7.97 ** KEPT (pick-wt=16): 18 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_OdropWhile(A,C,D)| -hBOOL(hAPP(A,B)).
% 7.86/7.97 ** KEPT (pick-wt=18): 19 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|B=D.
% 7.86/7.97 ** KEPT (pick-wt=18): 20 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 7.86/7.97 ** KEPT (pick-wt=13): 21 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(C)|A=c_Lambda_OdB_OAbs(C).
% 7.86/7.97 ** KEPT (pick-wt=20): 22 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=C.
% 7.86/7.97 ** KEPT (pick-wt=15): 23 [] c_List_Olistsp(A,c_List_Oappend(B,C,D),D)| -c_List_Olistsp(A,C,D)| -c_List_Olistsp(A,B,D).
% 7.86/7.97 ** KEPT (pick-wt=8): 24 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 7.86/7.97 ** KEPT (pick-wt=8): 25 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 7.86/7.97 ** KEPT (pick-wt=5): 26 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 7.86/7.97 ** KEPT (pick-wt=18): 27 [] c_Type_Otyping(A,c_Lambda_OdB_OAbs(B),hAPP(hAPP(c_Type_Otype_OFun,C),D))| -c_Type_Otyping(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),C,tc_Type_Otype),B,D).
% 7.86/7.97 ** KEPT (pick-wt=26): 28 [] c_List_Olist_OCons(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Olist_OCons(A,c_List_Osko__List__XCons__e_q__append__conv__1__1(A,B,D,E,C),C)=D|c_List_Olist_OCons(A,B,C)=E.
% 7.86/7.97 ** KEPT (pick-wt=26): 29 [] c_List_Oappend(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Oappend(c_List_Osko__List__Xappend__e_q__Cons__conv__1__1(D,E,A,B,C),B,C)=E|B=c_List_Olist_OCons(D,E,C).
% 7.86/7.98 ** KEPT (pick-wt=16): 30 [] c_List_Orev(A,B)!=c_List_Olist_OCons(C,c_List_Olist_ONil(B),B)|A=c_List_Olist_OCons(C,c_List_Olist_ONil(B),B).
% 7.86/7.98 ** KEPT (pick-wt=16): 31 [] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)!=c_List_Orev(C,B)|C=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 7.86/7.98 ** KEPT (pick-wt=41): 33 [copy,32,flip.1] c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(A,B,C,D),A,tc_Type_Otype,tc_Type_Otype)=B| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),B)| -c_Type_Otypings(C,F,G)| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),D,tc_Lambda_OdB,tc_Lambda_OdB),A).
% 7.86/7.98 ** KEPT (pick-wt=18): 34 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xvar__app__typesE__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 7.86/7.98 ** KEPT (pick-wt=16): 35 [] c_ListOrder_Ostep1(A,c_List_Olist_OCons(B,C,D),c_List_Olist_OCons(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 7.86/7.98 ** KEPT (pick-wt=22): 36 [] c_ListOrder_Ostep1(A,B,C,D)|hBOOL(hAPP(hAPP(A,E),F))| -c_ListOrder_Ostep1(A,c_List_Olist_OCons(E,B,D),c_List_Olist_OCons(F,C,D),D).
% 7.86/7.98 ** KEPT (pick-wt=12): 37 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(A,c_Lambda_OdB_OVar(B),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 7.86/7.98 ** KEPT (pick-wt=17): 38 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xlist__app__typeD__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,D,B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 7.86/7.98 ** KEPT (pick-wt=10): 39 [] c_List_Olist_ONil(A)!=c_List_Orev(B,A)|B=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=10): 40 [] c_List_Orev(A,B)!=c_List_Orev(C,B)|A=C.
% 7.86/7.98 ** KEPT (pick-wt=14): 41 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_List_Olistsp(c_InductTermi_OIT,B,tc_Lambda_OdB).
% 7.86/7.98 ** KEPT (pick-wt=19): 42 [] c_ListOrder_Ostep1(A,B,C,D)|C=B| -c_ListOrder_Ostep1(A,c_List_Olist_OCons(E,B,D),c_List_Olist_OCons(F,C,D),D).
% 7.86/7.98 ** KEPT (pick-wt=25): 44 [copy,43,flip.1] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_Olist_OCons(D,E,C),C)!=B|c_List_OdropWhile(A,B,C)=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 7.86/7.98 ** KEPT (pick-wt=21): 46 [copy,45,flip.2] c_List_OdropWhile(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_Olist_OCons(D,E,C),C)=B.
% 7.86/7.98 ** KEPT (pick-wt=15): 47 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 7.86/7.98 ** KEPT (pick-wt=10): 48 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(A,B)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 7.86/7.98 ** KEPT (pick-wt=6): 49 [] -c_ListOrder_Ostep1(A,B,c_List_Olist_ONil(C),C).
% 7.86/7.98 ** KEPT (pick-wt=6): 50 [] -c_ListOrder_Ostep1(A,c_List_Olist_ONil(B),C,B).
% 7.86/7.98 ** KEPT (pick-wt=10): 51 [] c_List_Orotate1(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=12): 52 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|A=D.
% 7.86/7.98 ** KEPT (pick-wt=17): 53 [] -hBOOL(hAPP(hAPP(A,B),C))|c_ListOrder_Ostep1(A,c_List_Olist_OCons(B,D,E),c_List_Olist_OCons(C,D,E),E).
% 7.86/7.98 ** KEPT (pick-wt=17): 54 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Olist_OCons(B,D,F),c_List_Olist_OCons(A,C,F),F).
% 7.86/7.98 ** KEPT (pick-wt=16): 55 [] c_ListOrder_Ostep1(A,c_List_Oappend(B,C,D),c_List_Oappend(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 7.86/7.98 ** KEPT (pick-wt=16): 56 [] -c_ListOrder_Ostep1(A,B,C,D)|c_ListOrder_Ostep1(A,c_List_Oappend(B,E,D),c_List_Oappend(C,E,D),D).
% 7.86/7.98 ** KEPT (pick-wt=17): 57 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xlist__app__typeE__1__1(C,A,D,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,D,B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 7.86/7.98 ** KEPT (pick-wt=20): 58 [] A=B|hBOOL(hAPP(hAPP(C,B),A))| -c_ListOrder_Ostep1(C,c_List_Olist_OCons(B,D,E),c_List_Olist_OCons(A,F,E),E).
% 7.86/7.98 ** KEPT (pick-wt=16): 59 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 7.86/7.98 ** KEPT (pick-wt=37): 60 [] c_Type_Otypings(A,B,c_Type_Osko__Type__Xvar__app__types__1__1(C,D,A,B))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),D)| -c_Type_Otypings(A,F,G)| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(E),F,tc_Lambda_OdB,tc_Lambda_OdB),B,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 7.86/7.98 ** KEPT (pick-wt=19): 61 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_OtakeWhile(A,C,D),D)| -hBOOL(hAPP(A,B)).
% 7.86/7.98 ** KEPT (pick-wt=10): 62 [] c_List_Orev(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=13): 63 [] c_Lambda_OdB_OVar(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|C=c_List_Olist_ONil(tc_Lambda_OdB).
% 7.86/7.98 ** KEPT (pick-wt=14): 64 [] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 7.86/7.98 ** KEPT (pick-wt=24): 65 [] hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(A,c_List_Oappend(B,c_List_Olist_OCons(C,D,E),E),E)))|hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(A,D,E)))| -hBOOL(hAPP(A,C)).
% 7.86/7.98 ** KEPT (pick-wt=24): 66 [] hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(A,c_List_Oappend(B,c_List_Olist_OCons(C,D,E),E),E)))|hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(A,B,E)))| -hBOOL(hAPP(A,C)).
% 7.86/7.98 ** KEPT (pick-wt=26): 68 [copy,67,flip.2] c_List_Oappend(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Olist_OCons(D,c_List_Osko__List__Xappend__e_q__Cons__conv__1__1(D,E,A,B,C),C)=A|B=c_List_Olist_OCons(D,E,C).
% 7.86/7.98 ** KEPT (pick-wt=26): 70 [copy,69,flip.2] c_List_Olist_OCons(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Oappend(c_List_Osko__List__XCons__e_q__append__conv__1__1(A,B,D,E,C),E,C)=B|c_List_Olist_OCons(A,B,C)=E.
% 7.86/7.98 ** KEPT (pick-wt=13): 71 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,A),c_Lambda_OdB_OVar(B))))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 7.86/7.98 ** KEPT (pick-wt=13): 72 [] c_Lambda_OdB_OVar(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OVar(A)=B.
% 7.86/7.98 ** KEPT (pick-wt=18): 73 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|B=D.
% 7.86/7.98 ** KEPT (pick-wt=18): 74 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 7.86/7.98 ** KEPT (pick-wt=16): 75 [] c_Type_Otyping(A,B,c_Type_Osko__Type__Xtyping__elims__2__1(C,A,D,B))| -c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,D),B),C).
% 7.86/7.98 ** KEPT (pick-wt=22): 76 [] c_Type_Otyping(A,B,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(C,A,B,D),C,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,B,D,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 7.86/7.98 ** KEPT (pick-wt=22): 77 [] c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB),D)| -c_Type_Otypings(A,C,E)| -c_Type_Otyping(A,B,c_List_Ofoldr(c_Type_Otype_OFun,E,D,tc_Type_Otype,tc_Type_Otype)).
% 7.86/7.98 ** KEPT (pick-wt=22): 78 [] c_Type_Otyping(A,B,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(C,A,B,D),C,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,B,D,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 7.86/7.98 ** KEPT (pick-wt=19): 79 [] -c_Type_Otyping(A,B,C)| -c_Type_Otyping(c_Type_Oshift(A,D,C,tc_Type_Otype),E,F)|c_Type_Otyping(A,c_Lambda_Osubst(E,B,D),F).
% 7.86/7.98 ** KEPT (pick-wt=14): 80 [] c_Type_Otyping(c_Type_Oshift(A,B,C,tc_Type_Otype),c_Lambda_Olift(D,B),E)| -c_Type_Otyping(A,D,E).
% 7.86/7.98 ** KEPT (pick-wt=34): 82 [copy,81,flip.1] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=v_T____|hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(C,D,E)))| -c_Type_Otyping(F,D,A)| -hBOOL(hAPP(c_InductTermi_OIT,D))| -c_Type_Otyping(c_Type_Oshift(F,E,A,tc_Type_Otype),C,G)| -hBOOL(hAPP(c_InductTermi_OIT,C)).
% 7.86/7.98 ** KEPT (pick-wt=34): 84 [copy,83,flip.1] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=v_T____|hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(C,D,E)))| -c_Type_Otyping(F,D,B)| -hBOOL(hAPP(c_InductTermi_OIT,D))| -c_Type_Otyping(c_Type_Oshift(F,E,B,tc_Type_Otype),C,G)| -hBOOL(hAPP(c_InductTermi_OIT,C)).
% 7.86/7.98 ** KEPT (pick-wt=24): 85 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(C,A,B,D),C,tc_Type_Otype,tc_Type_Otype))| -c_Type_Otyping(A,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(B),D,tc_Lambda_OdB,tc_Lambda_OdB),C).
% 7.86/7.98 ** KEPT (pick-wt=27): 86 [] A=B|c_ListOrder_Ostep1(C,A,B,D)| -c_ListOrder_Ostep1(C,c_List_Oappend(A,c_List_Olist_OCons(E,c_List_Olist_ONil(D),D),D),c_List_Oappend(B,c_List_Olist_OCons(F,c_List_Olist_ONil(D),D),D),D).
% 7.86/7.98 ** KEPT (pick-wt=20): 87 [] c_List_Orev(A,B)!=c_List_Olist_OCons(C,D,B)|A=c_List_Oappend(c_List_Orev(D,B),c_List_Olist_OCons(C,c_List_Olist_ONil(B),B),B).
% 7.86/7.98 ** KEPT (pick-wt=30): 88 [] hBOOL(hAPP(hAPP(A,B),C))|c_ListOrder_Ostep1(A,D,E,F)| -c_ListOrder_Ostep1(A,c_List_Oappend(D,c_List_Olist_OCons(B,c_List_Olist_ONil(F),F),F),c_List_Oappend(E,c_List_Olist_OCons(C,c_List_Olist_ONil(F),F),F),F).
% 7.86/7.98 ** KEPT (pick-wt=24): 89 [] c_List_Olist_OCons(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Olist_OCons(A,c_List_Osko__List__XCons__e_q__append__conv__1__1(A,B,D,E,C),C)=D|D=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=24): 90 [] c_List_Oappend(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Oappend(c_List_Osko__List__Xappend__e_q__Cons__conv__1__1(D,E,A,B,C),B,C)=E|A=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=28): 91 [] hBOOL(hAPP(hAPP(A,B),C))|B=C| -c_ListOrder_Ostep1(A,c_List_Oappend(D,c_List_Olist_OCons(B,c_List_Olist_ONil(E),E),E),c_List_Oappend(F,c_List_Olist_OCons(C,c_List_Olist_ONil(E),E),E),E).
% 7.86/7.98 ** KEPT (pick-wt=25): 92 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Oappend(A,c_List_Olist_OCons(C,c_List_Olist_ONil(F),F),F),c_List_Oappend(B,c_List_Olist_OCons(D,c_List_Olist_ONil(F),F),F),F).
% 7.86/7.98 ** KEPT (pick-wt=24): 94 [copy,93,flip.2] c_List_Oappend(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Olist_OCons(D,c_List_Osko__List__Xappend__e_q__Cons__conv__1__1(D,E,A,B,C),C)=A|A=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=24): 96 [copy,95,flip.2] c_List_Olist_OCons(A,B,C)!=c_List_Oappend(D,E,C)|c_List_Oappend(c_List_Osko__List__XCons__e_q__append__conv__1__1(A,B,D,E,C),E,C)=B|D=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=23): 97 [] A=B| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),E,tc_Lambda_OdB,tc_Lambda_OdB),B)| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),E,tc_Lambda_OdB,tc_Lambda_OdB),A).
% 7.86/7.98 ** KEPT (pick-wt=20): 98 [] c_Type_Otyping(A,B,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(C,A,B,D)),C))| -c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),D),C).
% 7.86/7.98 ** KEPT (pick-wt=8): 99 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 7.86/7.98 ** KEPT (pick-wt=6): 101 [copy,100,flip.1] c_List_Olist_OCons(A,B,C)!=B.
% 7.86/7.98 Following clause subsumed by 101 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=B.
% 7.86/7.98 ** KEPT (pick-wt=15): 102 [] -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,c_Type_Otype_OAtom(D),t_a)))|hBOOL(hAPP(A,hAPP(B,D))).
% 7.86/7.98 Following clause subsumed by 102 during input processing: 0 [] -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,c_Type_Otype_OAtom(D),t_a)))|hBOOL(hAPP(A,hAPP(B,D))).
% 7.86/7.98 ** KEPT (pick-wt=7): 103 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 7.86/7.98 Following clause subsumed by 103 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=9): 104 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Type_Osko__Type__Xtype__induct__1__1(A))).
% 7.86/7.98 ** KEPT (pick-wt=12): 105 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 7.86/7.98 ** KEPT (pick-wt=12): 106 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 7.86/7.98 ** KEPT (pick-wt=8): 107 [] c_Type_Otype_OAtom(A)!=c_Type_Otype_OAtom(B)|A=B.
% 7.86/7.98 ** KEPT (pick-wt=10): 108 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 7.86/7.98 ** KEPT (pick-wt=11): 109 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=11): 110 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=11): 111 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=11): 112 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=8): 113 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 7.86/7.98 ** KEPT (pick-wt=14): 114 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 7.86/7.98 ** KEPT (pick-wt=14): 115 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 7.86/7.98 ** KEPT (pick-wt=7): 116 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 7.86/7.98 ** KEPT (pick-wt=20): 117 [] c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),C),D)| -c_Type_Otyping(A,C,E)| -c_Type_Otyping(A,B,hAPP(hAPP(c_Type_Otype_OFun,E),D)).
% 7.86/7.98 ** KEPT (pick-wt=10): 118 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 7.86/7.98 Following clause subsumed by 118 during input processing: 0 [flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=10): 119 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 7.86/7.98 Following clause subsumed by 119 during input processing: 0 [flip.1] c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=12): 120 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 7.86/7.98 ** KEPT (pick-wt=12): 121 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 7.86/7.98 ** KEPT (pick-wt=8): 122 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 7.86/7.98 ** KEPT (pick-wt=20): 123 [] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)!=c_List_Oappend(D,c_List_Olist_OCons(E,c_List_Olist_ONil(C),C),C)|A=D.
% 7.86/7.98 ** KEPT (pick-wt=20): 124 [] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)!=c_List_Oappend(D,c_List_Olist_OCons(E,c_List_Olist_ONil(C),C),C)|B=E.
% 7.86/7.98 ** KEPT (pick-wt=8): 125 [] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=c_Type_Otype_OAtom(C).
% 7.86/7.98 ** KEPT (pick-wt=14): 126 [] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=hAPP(hAPP(c_Type_Otype_OFun,C),D)|A=C.
% 7.86/7.98 ** KEPT (pick-wt=14): 127 [] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=hAPP(hAPP(c_Type_Otype_OFun,C),D)|B=D.
% 7.86/7.98 ** KEPT (pick-wt=12): 129 [copy,128,factor_simp] c_Type_Osko__Type__Xtype__induct__1__1(A)!=hAPP(hAPP(c_Type_Otype_OFun,B),C)|hBOOL(hAPP(A,C)).
% 7.86/7.98 ** KEPT (pick-wt=12): 131 [copy,130,factor_simp] c_Type_Osko__Type__Xtype__induct__1__1(A)!=hAPP(hAPP(c_Type_Otype_OFun,B),C)|hBOOL(hAPP(A,B)).
% 7.86/7.98 ** KEPT (pick-wt=20): 132 [] -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,hAPP(hAPP(c_Type_Otype_OFun,D),E),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 7.86/7.98 Following clause subsumed by 132 during input processing: 0 [] -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,hAPP(hAPP(c_Type_Otype_OFun,D),E),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 7.86/7.98 ** KEPT (pick-wt=8): 133 [] c_Type_Otype_OAtom(A)!=hAPP(hAPP(c_Type_Otype_OFun,B),C).
% 7.86/7.98 ** KEPT (pick-wt=12): 135 [copy,134,flip.1] hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))!=v_T____.
% 7.86/7.98 ** KEPT (pick-wt=7): 136 [] A=B| -c_fe_qual(A,B,C).
% 7.86/7.98 Following clause subsumed by 26 during input processing: 0 [copy,12,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 7.86/7.98 Following clause subsumed by 25 during input processing: 0 [copy,24,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 7.86/7.98 Following clause subsumed by 24 during input processing: 0 [copy,25,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 7.86/7.98 Following clause subsumed by 12 during input processing: 0 [copy,26,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 7.86/7.98 ** KEPT (pick-wt=15): 139 [copy,47,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 7.86/7.98 ** KEPT (pick-wt=14): 141 [copy,64,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C)),D).
% 7.86/7.98 Following clause subsumed by 113 during input processing: 0 [copy,99,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 7.86/7.98 Following clause subsumed by 116 during input processing: 0 [copy,103,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 7.86/7.98 Following clause subsumed by 99 during input processing: 0 [copy,113,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 7.86/7.98 Following clause subsumed by 103 during input processing: 0 [copy,116,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 7.86/7.98 Following clause subsumed by 133 during input processing: 0 [copy,125,flip.1] c_Type_Otype_OAtom(A)!=hAPP(hAPP(c_Type_Otype_OFun,B),C).
% 7.86/7.98 Following clause subsumed by 125 during input processing: 0 [copy,133,flip.1] hAPP(hAPP(c_Type_Otype_OFun,A),B)!=c_Type_Otype_OAtom(C).
% 7.86/7.98 Following clause subsumed by 47 during input processing: 0 [copy,139,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 7.86/7.98 Following clause subsumed by 64 during input processing: 0 [copy,141,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 7.86/7.98
% 7.86/7.98 ------------> process sos:
% 7.86/7.98 ** KEPT (pick-wt=3): 146 [] A=A.
% 7.86/7.98 ** KEPT (pick-wt=8): 147 [] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 7.86/7.98 ** KEPT (pick-wt=12): 148 [] c_List_Ohd(c_List_Oreplicate(A,B,C),C)=B|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.86/7.98 ** KEPT (pick-wt=4): 149 [] hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 7.86/7.98 ** KEPT (pick-wt=12): 150 [] c_List_Olast(c_List_Oreplicate(A,B,C),C)=B|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 7.86/7.98 ** KEPT (pick-wt=11): 151 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 7.86/7.98 ** KEPT (pick-wt=8): 152 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=11): 153 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(A).
% 7.86/7.98 ---> New Demodulator: 154 [new_demod,153] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(A).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,154] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 7.86/7.98 ** KEPT (pick-wt=15): 155 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 7.86/7.98 ** KEPT (pick-wt=5): 156 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 7.86/7.98 ** KEPT (pick-wt=4): 157 [] c_Type_Otyping(v_ea______,v_ua______,v_T____).
% 7.86/7.98 ** KEPT (pick-wt=8): 158 [] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 7.86/7.98 ---> New Demodulator: 159 [new_demod,158] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=21): 160 [] c_List_Osplice(c_List_Olist_OCons(A,B,C),c_List_Olist_OCons(D,E,C),C)=c_List_Olist_OCons(A,c_List_Olist_OCons(D,c_List_Osplice(B,E,C),C),C).
% 7.86/7.98 ---> New Demodulator: 161 [new_demod,160] c_List_Osplice(c_List_Olist_OCons(A,B,C),c_List_Olist_OCons(D,E,C),C)=c_List_Olist_OCons(A,c_List_Olist_OCons(D,c_List_Osplice(B,E,C),C),C).
% 7.86/7.98 ** KEPT (pick-wt=16): 162 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,C,D)|hBOOL(hAPP(A,B)).
% 7.86/7.98 ** KEPT (pick-wt=12): 163 [] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_OdropWhile(A,B,C),C)=B.
% 7.86/7.98 ---> New Demodulator: 164 [new_demod,163] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_OdropWhile(A,B,C),C)=B.
% 7.86/7.98 ** KEPT (pick-wt=7): 165 [] c_List_Osplice(c_List_Olist_ONil(A),B,A)=B.
% 7.86/7.98 ---> New Demodulator: 166 [new_demod,165] c_List_Osplice(c_List_Olist_ONil(A),B,A)=B.
% 7.86/7.98 ** KEPT (pick-wt=7): 167 [] c_List_Osplice(A,c_List_Olist_ONil(B),B)=A.
% 7.86/7.98 ---> New Demodulator: 168 [new_demod,167] c_List_Osplice(A,c_List_Olist_ONil(B),B)=A.
% 7.86/7.98 ** KEPT (pick-wt=24): 169 [] hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C)=c_List_Ofoldl(c_Lambda_OdB_OApp,A,c_List_Oappend(B,c_List_Olist_OCons(C,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.86/7.98 ** KEPT (pick-wt=17): 171 [copy,170,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 7.86/7.98 ---> New Demodulator: 172 [new_demod,171] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 7.86/7.98 Following clause subsumed by 169 during input processing: 0 [] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)=c_List_Olist_ONil(tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,C,A,tc_Lambda_OdB,tc_Lambda_OdB)),B)=c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,168] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 7.86/7.98 ** KEPT (pick-wt=17): 173 [] c_List_Obutlast(c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,c_List_Obutlast(B,C),C)|B=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=9): 174 [] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 7.86/7.98 ---> New Demodulator: 175 [new_demod,174] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 7.86/7.98 ** KEPT (pick-wt=10): 176 [] c_List_Obutlast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_ONil(B).
% 7.86/7.98 ---> New Demodulator: 177 [new_demod,176] c_List_Obutlast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=14): 178 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,B)).
% 7.86/7.98 ** KEPT (pick-wt=13): 179 [] c_List_Orev(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 7.86/7.98 ---> New Demodulator: 180 [new_demod,179] c_List_Orev(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 7.86/7.98 ** KEPT (pick-wt=14): 181 [] c_List_Olast(c_List_Olist_OCons(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,180] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 7.86/7.98 ** KEPT (pick-wt=18): 182 [] c_List_Oappend(c_List_Obutlast(A,B),c_List_Olist_OCons(c_List_Olast(A,B),c_List_Olist_ONil(B),B),B)=A|A=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=14): 183 [] c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______).
% 7.86/7.98 ** KEPT (pick-wt=8): 184 [] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 7.86/7.98 ---> New Demodulator: 185 [new_demod,184] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 7.86/7.98 ** KEPT (pick-wt=20): 187 [copy,186,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 7.86/7.98 ---> New Demodulator: 188 [new_demod,187] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 7.86/7.98 ** KEPT (pick-wt=7): 190 [copy,189,flip.1] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ---> New Demodulator: 191 [new_demod,190] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=7): 192 [] c_List_Obutlast(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ---> New Demodulator: 193 [new_demod,192] c_List_Obutlast(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=7): 194 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 7.86/7.98 ---> New Demodulator: 195 [new_demod,194] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 7.86/7.98 ** KEPT (pick-wt=8): 196 [] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 7.86/7.98 ---> New Demodulator: 197 [new_demod,196] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=7): 198 [] c_List_Otl(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ---> New Demodulator: 199 [new_demod,198] c_List_Otl(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=19): 200 [] c_List_Ofoldr(A,B,C,D,E)=c_List_Ofoldl(c_COMBC(A,D,E,E),C,c_List_Orev(B,D),E,D).
% 7.86/7.98 ** KEPT (pick-wt=9): 201 [] c_List_Oconcat__map(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=21): 202 [] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Oreplicate(D,B,C),C)=c_List_Oappend(c_List_Oreplicate(D,B,C),c_List_Oreplicate(A,B,C),C).
% 7.86/7.98 ** KEPT (pick-wt=8): 203 [] c_List_Otl(c_List_Olist_OCons(A,B,C),C)=B.
% 7.86/7.98 ---> New Demodulator: 204 [new_demod,203] c_List_Otl(c_List_Olist_OCons(A,B,C),C)=B.
% 7.86/7.98 ** KEPT (pick-wt=26): 205 [] c_List_Osplice(c_List_Olist_OCons(A,B,C),D,C)=c_List_Olist_OCons(A,c_List_Olist_OCons(c_List_Ohd(D,C),c_List_Osplice(B,c_List_Otl(D,C),C),C),C)|D=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=9): 206 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 7.86/7.98 ---> New Demodulator: 207 [new_demod,206] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 7.86/7.98 ** KEPT (pick-wt=13): 208 [] c_List_Ohd(c_List_Orev(A,B),B)=c_List_Olast(A,B)|A=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=5): 209 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 7.86/7.98 ** KEPT (pick-wt=11): 210 [] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 7.86/7.98 ---> New Demodulator: 211 [new_demod,210] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 7.86/7.98 ** KEPT (pick-wt=17): 213 [copy,212,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,A),C),B).
% 7.86/7.98 ---> New Demodulator: 214 [new_demod,213] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,A),C),B).
% 7.86/7.98 ** KEPT (pick-wt=7): 215 [] c_List_Orev(c_List_Orev(A,B),B)=A.
% 7.86/7.98 ---> New Demodulator: 216 [new_demod,215] c_List_Orev(c_List_Orev(A,B),B)=A.
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,216] A=A.
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,216] A=A.
% 7.86/7.98 ** KEPT (pick-wt=7): 217 [] c_List_Orotate1(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ---> New Demodulator: 218 [new_demod,217] c_List_Orotate1(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=13): 219 [] c_List_Olast(c_List_Orev(A,B),B)=c_List_Ohd(A,B)|A=c_List_Olist_ONil(B).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,207] c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 7.86/7.98 ** KEPT (pick-wt=20): 220 [] c_List_Ofoldl(A,B,c_List_Olist_OCons(C,D,E),F,E)=c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,F,E).
% 7.86/7.98 ** KEPT (pick-wt=20): 222 [copy,221,flip.1] c_List_Oappend(c_List_Otl(A,B),c_List_Olist_OCons(c_List_Ohd(A,B),c_List_Olist_ONil(B),B),B)=c_List_Orotate1(A,B)|A=c_List_Olist_ONil(B).
% 7.86/7.98 ** KEPT (pick-wt=4): 223 [] hBOOL(hAPP(c_InductTermi_OIT,v_u____)).
% 7.86/7.98 ** KEPT (pick-wt=8): 224 [] c_Lambda_Osubst(c_Lambda_Olift(A,B),C,B)=A.
% 7.86/7.98 ---> New Demodulator: 225 [new_demod,224] c_Lambda_Osubst(c_Lambda_Olift(A,B),C,B)=A.
% 7.86/7.98 ** KEPT (pick-wt=6): 227 [copy,226,flip.1] c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)=v_rs____.
% 7.86/7.98 ---> New Demodulator: 228 [new_demod,227] c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)=v_rs____.
% 7.86/7.98 ** KEPT (pick-wt=19): 230 [copy,229,flip.1] c_List_Ofoldr(c_COMBC(A,B,C,B),c_List_Orev(D,C),E,C,B)=c_List_Ofoldl(A,E,D,B,C).
% 7.86/7.98 ---> New Demodulator: 231 [new_demod,230] c_List_Ofoldr(c_COMBC(A,B,C,B),c_List_Orev(D,C),E,C,B)=c_List_Ofoldl(A,E,D,B,C).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,191] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=15): 232 [] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 7.86/7.98 ---> New Demodulator: 233 [new_demod,232] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 7.86/7.98 ** KEPT (pick-wt=21): 234 [] c_List_Ofoldl(A,B,c_List_Oappend(C,D,E),F,E)=c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,F,E),D,F,E).
% 7.86/7.98 ** KEPT (pick-wt=19): 235 [] c_List_Oconcat__map(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Oappend(hAPP(A,B),c_List_Oconcat__map(A,C,D,E),E).
% 7.86/7.98 ** KEPT (pick-wt=19): 236 [] c_List_OtakeWhile(A,c_List_Oappend(B,c_List_Olist_OCons(C,D,E),E),E)=c_List_OtakeWhile(A,B,E)|hBOOL(hAPP(A,C)).
% 7.86/7.98 ** KEPT (pick-wt=21): 238 [copy,237,flip.1] c_List_Olist_OCons(A,c_List_Oappend(c_List_Oreplicate(B,A,C),D,C),C)=c_List_Oappend(c_List_Oreplicate(B,A,C),c_List_Olist_OCons(A,D,C),C).
% 7.86/7.98 ---> New Demodulator: 239 [new_demod,238] c_List_Olist_OCons(A,c_List_Oappend(c_List_Oreplicate(B,A,C),D,C),C)=c_List_Oappend(c_List_Oreplicate(B,A,C),c_List_Olist_OCons(A,D,C),C).
% 7.86/7.98 ** KEPT (pick-wt=14): 240 [] c_List_Ohd(c_List_Oappend(A,B,C),C)=c_List_Ohd(A,C)|A=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=11): 241 [] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Obutlast(A,B).
% 7.86/7.98 ---> New Demodulator: 242 [new_demod,241] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Obutlast(A,B).
% 7.86/7.98 ** KEPT (pick-wt=17): 243 [] c_List_Otl(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Otl(A,C),B,C)|A=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=14): 244 [] c_List_Olast(c_List_Oappend(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=11): 245 [] c_List_Olast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Olast(A,B).
% 7.86/7.98 ---> New Demodulator: 246 [new_demod,245] c_List_Olast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Olast(A,B).
% 7.86/7.98 ** KEPT (pick-wt=11): 247 [] c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(A),B,A),A)=c_List_Ohd(B,A).
% 7.86/7.98 ---> New Demodulator: 248 [new_demod,247] c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(A),B,A),A)=c_List_Ohd(B,A).
% 7.86/7.98 ** KEPT (pick-wt=17): 249 [] c_List_Obutlast(c_List_Oappend(A,B,C),C)=c_List_Oappend(A,c_List_Obutlast(B,C),C)|B=c_List_Olist_ONil(C).
% 7.86/7.98 ** KEPT (pick-wt=19): 250 [] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 7.86/7.98 ** KEPT (pick-wt=15): 251 [] c_List_Orotate1(c_List_Olist_OCons(A,B,C),C)=c_List_Oappend(B,c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 7.86/7.98 ** KEPT (pick-wt=13): 253 [copy,252,demod,233,180,216] c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),C,B)=c_List_Olist_OCons(A,C,B).
% 7.86/7.98 ** KEPT (pick-wt=17): 254 [] c_List_Orev(c_List_Olist_OCons(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 7.86/7.98 ** KEPT (pick-wt=12): 255 [] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=A.
% 7.86/7.98 ---> New Demodulator: 256 [new_demod,255] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=A.
% 7.86/7.98 ** KEPT (pick-wt=12): 257 [] c_List_Olast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=B.
% 7.86/7.98 ---> New Demodulator: 258 [new_demod,257] c_List_Olast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=B.
% 7.86/7.98 ** KEPT (pick-wt=8): 259 [] c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____).
% 7.86/7.98 ** KEPT (pick-wt=4): 260 [] c_Type_Otyping(v_e____,v_u____,v_T____).
% 7.86/7.98 ** KEPT (pick-wt=14): 261 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____).
% 7.86/7.98 ** KEPT (pick-wt=10): 262 [] c_Type_Otype_Otype__case(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 7.86/7.98 ** KEPT (pick-wt=9): 264 [copy,263,flip.1] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ---> New Demodulator: 265 [new_demod,264] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=13): 267 [copy,266,flip.1] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 7.86/7.98 ---> New Demodulator: 268 [new_demod,267] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 7.86/7.98 ** KEPT (pick-wt=15): 269 [] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 7.86/7.98 ---> New Demodulator: 270 [new_demod,269] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,270] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,270] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,270] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 7.86/7.98 ** KEPT (pick-wt=7): 271 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 7.86/7.98 ** KEPT (pick-wt=7): 272 [] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 7.86/7.98 ---> New Demodulator: 273 [new_demod,272] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 7.86/7.98 ** KEPT (pick-wt=7): 275 [copy,274,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 7.86/7.98 ---> New Demodulator: 276 [new_demod,275] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,273] A=A.
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,276] B=B.
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,276] A=A.
% 7.86/7.98 ** KEPT (pick-wt=3): 277 [] v_n____=v_i____.
% 7.86/7.98 ---> New Demodulator: 278 [new_demod,277] v_n____=v_i____.
% 7.86/7.98 ** KEPT (pick-wt=9): 279 [] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 7.86/7.98 ---> New Demodulator: 280 [new_demod,279] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 7.86/7.98 ** KEPT (pick-wt=8): 281 [] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____).
% 7.86/7.98 ** KEPT (pick-wt=10): 282 [] c_Type_Otype_Otype__rec(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,276] c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,273] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 7.86/7.98 ** KEPT (pick-wt=15): 283 [] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 7.86/7.98 ---> New Demodulator: 284 [new_demod,283] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,284] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,284] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,284] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 7.86/7.98 ** KEPT (pick-wt=20): 286 [copy,285,flip.1] hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 7.86/7.98 ---> New Demodulator: 287 [new_demod,286] hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 7.86/7.98 ** KEPT (pick-wt=21): 288 [] c_List_Ofoldr(A,c_List_Oappend(B,C,D),E,D,F)=c_List_Ofoldr(A,B,c_List_Ofoldr(A,C,E,D,F),D,F).
% 7.86/7.98 ---> New Demodulator: 289 [new_demod,288] c_List_Ofoldr(A,c_List_Oappend(B,C,D),E,D,F)=c_List_Ofoldr(A,B,c_List_Ofoldr(A,C,E,D,F),D,F).
% 7.86/7.98 ** KEPT (pick-wt=17): 291 [copy,290,demod,278,287] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 7.86/7.98 ** KEPT (pick-wt=18): 293 [copy,292,demod,278] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 7.86/7.98 ** KEPT (pick-wt=9): 294 [] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 7.86/7.98 ---> New Demodulator: 295 [new_demod,294] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 7.86/7.98 ** KEPT (pick-wt=27): 297 [copy,296,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Type_Otype_Otype__rec(D,A,B,E)),c_Type_Otype_Otype__rec(D,A,C,E))=c_Type_Otype_Otype__rec(D,A,hAPP(hAPP(c_Type_Otype_OFun,B),C),E).
% 7.86/7.98 ---> New Demodulator: 298 [new_demod,297] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Type_Otype_Otype__rec(D,A,B,E)),c_Type_Otype_Otype__rec(D,A,C,E))=c_Type_Otype_Otype__rec(D,A,hAPP(hAPP(c_Type_Otype_OFun,B),C),E).
% 7.86/7.98 ** KEPT (pick-wt=15): 299 [] c_Type_Otype_Otype__case(A,B,hAPP(hAPP(c_Type_Otype_OFun,C),D),E)=hAPP(hAPP(B,C),D).
% 7.86/7.98 Following clause subsumed by 146 during input processing: 0 [demod,278] v_i____=v_i____.
% 7.86/7.98 Following clause subsumed by 291 during input processing: 0 [demod,278,287] c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 7.86/7.99 ** KEPT (pick-wt=4): 300 [] c_fe_qual(A,A,B).
% 7.86/7.99 Following clause subsumed by 146 during input processing: 0 [copy,146,flip.1] A=A.
% 7.86/7.99 146 back subsumes 145.
% 7.86/7.99 Following clause subsumed by 152 during input processing: 0 [copy,147,flip.1] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 7.86/7.99 Following clause subsumed by 151 during input processing: 0 [copy,151,flip.1] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 7.86/7.99 Following clause subsumed by 147 during input processing: 0 [copy,152,flip.1] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 7.86/7.99 >>>> Starting back demodulation with 154.
% 7.86/7.99 ** KEPT (pick-wt=15): 301 [copy,155,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B).
% 7.86/7.99 >>>> Starting back demodulation with 159.
% 7.86/7.99 >>>> Starting back demodulation with 161.
% 7.86/7.99 >>>> Starting back demodulation with 164.
% 7.86/7.99 >>>> Starting back demodulation with 166.
% 7.86/7.99 >>>> Starting back demodulation with 168.
% 7.86/7.99 ** KEPT (pick-wt=24): 302 [copy,169,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,A,c_List_Oappend(B,c_List_Olist_OCons(C,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C).
% 7.86/7.99 >>>> Starting back demodulation with 172.
% 7.86/7.99 >>>> Starting back demodulation with 175.
% 7.86/7.99 >>>> Starting back demodulation with 177.
% 7.86/7.99 >>>> Starting back demodulation with 180.
% 7.86/7.99 >>>> Starting back demodulation with 185.
% 7.86/7.99 >>>> Starting back demodulation with 188.
% 7.86/7.99 >>>> Starting back demodulation with 191.
% 7.86/7.99 >>>> Starting back demodulation with 193.
% 7.86/7.99 >>>> Starting back demodulation with 195.
% 7.86/7.99 >>>> Starting back demodulation with 197.
% 7.86/7.99 >>>> Starting back demodulation with 199.
% 7.86/7.99 ** KEPT (pick-wt=19): 303 [copy,200,flip.1] c_List_Ofoldl(c_COMBC(A,B,C,C),D,c_List_Orev(E,B),C,B)=c_List_Ofoldr(A,E,D,B,C).
% 7.86/7.99 ** KEPT (pick-wt=9): 304 [copy,201,flip.1] c_List_Olist_ONil(A)=c_List_Oconcat__map(B,c_List_Olist_ONil(C),C,A).
% 7.86/7.99 Following clause subsumed by 202 during input processing: 0 [copy,202,flip.1] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Oreplicate(D,B,C),C)=c_List_Oappend(c_List_Oreplicate(D,B,C),c_List_Oreplicate(A,B,C),C).
% 7.86/7.99 >>>> Starting back demodulation with 204.
% 7.86/7.99 >>>> Starting back demodulation with 207.
% 7.86/7.99 >> back demodulating 171 with 207.
% 7.86/7.99 >> back demodulating 153 with 207.
% 7.86/7.99 >> back demodulating 22 with 207.
% 7.86/7.99 >>>> Starting back demodulation with 211.
% 7.86/7.99 >>>> Starting back demodulation with 214.
% 7.86/7.99 >>>> Starting back demodulation with 216.
% 7.86/7.99 >>>> Starting back demodulation with 218.
% 7.86/7.99 ** KEPT (pick-wt=20): 305 [copy,220,flip.1] c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,E,F)=c_List_Ofoldl(A,B,c_List_Olist_OCons(C,D,F),E,F).
% 7.86/7.99 >>>> Starting back demodulation with 225.
% 7.86/7.99 >>>> Starting back demodulation with 228.
% 7.86/7.99 >>>> Starting back demodulation with 231.
% 7.86/7.99 >>>> Starting back demodulation with 233.
% 7.86/7.99 ** KEPT (pick-wt=21): 306 [copy,234,flip.1] c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,D,E),F,D,E)=c_List_Ofoldl(A,B,c_List_Oappend(C,F,E),D,E).
% 7.86/7.99 ** KEPT (pick-wt=19): 307 [copy,235,flip.1] c_List_Oappend(hAPP(A,B),c_List_Oconcat__map(A,C,D,E),E)=c_List_Oconcat__map(A,c_List_Olist_OCons(B,C,D),D,E).
% 7.86/7.99 >>>> Starting back demodulation with 239.
% 7.86/7.99 >>>> Starting back demodulation with 242.
% 7.86/7.99 >>>> Starting back demodulation with 246.
% 7.86/7.99 >>>> Starting back demodulation with 248.
% 7.86/7.99 ** KEPT (pick-wt=19): 308 [copy,250,flip.1] c_List_Olist_OCons(A,c_List_Oreplicate(B,A,C),C)=c_List_Oappend(c_List_Oreplicate(B,A,C),c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 7.86/7.99 ** KEPT (pick-wt=15): 309 [copy,251,flip.1] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)=c_List_Orotate1(c_List_Olist_OCons(B,A,C),C).
% 7.86/7.99 ** KEPT (pick-wt=13): 310 [copy,253,flip.1] c_List_Olist_OCons(A,B,C)=c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),B,C).
% 7.86/7.99 ** KEPT (pick-wt=17): 311 [copy,254,flip.1] c_List_Oappend(c_List_Orev(A,B),c_List_Olist_OCons(C,c_List_Olist_ONil(B),B),B)=c_List_Orev(c_List_Olist_OCons(C,A,B),B).
% 7.86/7.99 >>>> Starting back demodulation with 256.
% 7.86/7.99 >>>> Starting back demodulation with 258.
% 7.86/7.99 ** KEPT (pick-wt=10): 312 [copy,262,flip.1] hAPP(A,B)=c_Type_Otype_Otype__case(A,C,c_Type_Otype_OAtom(B),D).
% 7.86/7.99 >>>> Starting back demodulation with 265.
% 7.86/7.99 >>>> Starting back demodulation with 268.
% 7.86/7.99 >>>> Starting back demodulation with 270.
% 7.86/7.99 >> back demodulating 238 with 270.
% 7.86/7.99 >>>> Starting back demodulation with 273.
% 7.86/7.99 >> back demodulating 264 with 273.
% 7.86/7.99 >> back demodulating 245 with 273.
% 7.86/7.99 >> back demodulating 241 with 273.
% 7.86/7.99 >>>> Starting back demodulation with 276.
% 7.86/7.99 >> back demodulating 267 with 276.
% 7.86/7.99 >> back demodulating 247 with 276.
% 7.86/7.99 >>>> Starting back demodulation with 278.
% 7.86/7.99 >> back demodulating 261 with 278.
% 7.86/7.99 >> back demodulating 183 with 278.
% 7.86/7.99 >>>> Starting back demodulation with 280.
% 7.86/7.99 ** KEPT (pick-wt=10): 316 [copy,282,flip.1] hAPP(A,B)=c_Type_Otype_Otype__rec(A,C,c_Type_Otype_OAtom(B),D).
% 7.86/7.99 >>>> Starting back demodulation with 284.
% 7.86/7.99 >>>> Starting back demodulation with 287.
% 7.86/7.99 >> back demodulating 135 with 287.
% 7.86/7.99 >>>> Starting back demodulation with 289.
% 7.86/7.99 >>>> Starting back demodulation with 295.
% 7.86/7.99 >>>> Starting back demodulation with 298.
% 7.86/7.99 ** KEPT (pick-wt=15): 318 [copy,299,flip.1] hAPP(hAPP(A,B),C)=c_Type_Otype_Otype__case(D,A,hAPP(hAPP(c_Type_Otype_OFun,B),C),E).
% 7.86/7.99 Following clause subsumed by 155 during input processing: 0 [copy,301,flip.1] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 7.86/7.99 Following clause subsumed by 169 during input processing: 0 [copy,302,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C)=c_List_Ofoldl(c_Lambda_OdB_OApp,A,c_List_Oappend(B,c_List_Olist_OCons(C,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 7.86/7.99 Following clause subsumed by 200 during input processing: 0 [copy,303,flip.1] c_List_Ofoldr(A,B,C,D,E)=c_List_Ofoldl(c_COMBC(A,D,E,E),C,c_List_Orev(B,D),E,D).
% 7.86/7.99 Following clause subsumed by 201 during input processing: 0 [copy,304,flip.1] c_List_Oconcat__map(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 7.86/7.99 Following clause subsumed by 220 during input processing: 0 [copy,305,flip.1] c_List_Ofoldl(A,B,c_List_Olist_OCons(C,D,E),F,E)=c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,F,E).
% 7.86/7.99 Following clause subsumed by 234 during input processing: 0 [copy,306,flip.1] c_List_Ofoldl(A,B,c_List_Oappend(C,D,E),F,E)=c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,F,E),D,F,E).
% 7.86/7.99 Following clause subsumed by 235 during input processing: 0 [copy,307,flip.1] c_List_Oconcat__map(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Oappend(hAPP(A,B),c_List_Oconcat__map(A,C,D,E),E).
% 7.86/7.99 Following clause subsumed by 250 during input processing: 0 [copy,308,flip.1] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 7.86/7.99 Following clause subsumed by 251 during input processing: 0 [copy,309,flip.1] c_List_Orotate1(c_List_Olist_OCons(A,B,C),C)=c_List_Oappend(B,c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 7.86/7.99 Following clause subsumed by 253 during input processing: 0 [copy,310,flip.1] c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),C,B)=c_List_Olist_OCons(A,C,B).
% 7.86/7.99 Following clause subsumed by 254 during input processing: 0 [copy,311,flip.1] c_List_Orev(c_List_Olist_OCons(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 7.86/7.99 Following clause subsumed by 262 during input processing: 0 [copy,312,flip.1] c_Type_Otype_Otype__case(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 7.86/7.99 ** KEPT (pick-wt=21): 319 [copy,313,flip.1] c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,D,C),C)=c_List_Oappend(c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C),D,C).
% 7.86/7.99 Following clause subsumed by 282 during input processing: 0 [copy,316,flip.1] c_Type_Otype_Otype__rec(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 7.86/7.99 Following clause subsumed by 299 during input processing: 0 [copy,318,flip.1] c_Type_Otype_Otype__case(A,B,hAPP(hAPP(c_Type_Otype_OFun,C),D),E)=hAPP(hAPP(B,C),D).
% 8.08/8.26 Following clause subsumed by 313 during input processing: 0 [copy,319,flip.1] c_List_Oappend(c_List_Olist_OCons(A,c_List_Oreplicate(B,A,C),C),D,C)=c_List_Oappend(c_List_Oreplicate(B,A,C),c_List_Olist_OCons(A,D,C),C).
% 8.08/8.26
% 8.08/8.26 ======= end of input processing =======
% 8.08/8.26
% 8.08/8.26 =========== start of search ===========
% 8.08/8.26
% 8.08/8.26
% 8.08/8.26 Resetting weight limit to 4.
% 8.08/8.26
% 8.08/8.26
% 8.08/8.26 Resetting weight limit to 4.
% 8.08/8.26
% 8.08/8.26 sos_size=102
% 8.08/8.26
% 8.08/8.26 Search stopped because sos empty.
% 8.08/8.26
% 8.08/8.26
% 8.08/8.26 Search stopped because sos empty.
% 8.08/8.26
% 8.08/8.26 ============ end of search ============
% 8.08/8.26
% 8.08/8.26 -------------- statistics -------------
% 8.08/8.26 clauses given 105
% 8.08/8.26 clauses generated 33634
% 8.08/8.26 clauses kept 246
% 8.08/8.26 clauses forward subsumed 148
% 8.08/8.26 clauses back subsumed 1
% 8.08/8.26 Kbytes malloced 7812
% 8.08/8.26
% 8.08/8.26 ----------- times (seconds) -----------
% 8.08/8.26 user CPU time 0.30 (0 hr, 0 min, 0 sec)
% 8.08/8.26 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 8.08/8.26 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 8.08/8.26
% 8.08/8.26 Process 12194 finished Wed Jul 27 09:06:24 2022
% 8.08/8.26 Otter interrupted
% 8.08/8.26 PROOF NOT FOUND
%------------------------------------------------------------------------------