TSTP Solution File: LCL777-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL777-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 13:05:23 EDT 2022
% Result : Unknown 26.62s 26.74s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : LCL777-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:20:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 25.61/25.78 ----- Otter 3.3f, August 2004 -----
% 25.61/25.78 The process was started by sandbox2 on n009.cluster.edu,
% 25.61/25.78 Wed Jul 27 09:20:36 2022
% 25.61/25.78 The command was "./otter". The process ID is 32210.
% 25.61/25.78
% 25.61/25.78 set(prolog_style_variables).
% 25.61/25.78 set(auto).
% 25.61/25.78 dependent: set(auto1).
% 25.61/25.78 dependent: set(process_input).
% 25.61/25.78 dependent: clear(print_kept).
% 25.61/25.78 dependent: clear(print_new_demod).
% 25.61/25.78 dependent: clear(print_back_demod).
% 25.61/25.78 dependent: clear(print_back_sub).
% 25.61/25.78 dependent: set(control_memory).
% 25.61/25.78 dependent: assign(max_mem, 12000).
% 25.61/25.78 dependent: assign(pick_given_ratio, 4).
% 25.61/25.78 dependent: assign(stats_level, 1).
% 25.61/25.78 dependent: assign(max_seconds, 10800).
% 25.61/25.78 clear(print_given).
% 25.61/25.78
% 25.61/25.78 list(usable).
% 25.61/25.78 0 [] A=A.
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a)=c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a).
% 25.61/25.78 0 [] c_List_Olist__update(V_xs,V_k,V_x,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olist__update(V_xs,V_i,V_x,T_a)!=V_xs| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|c_List_Onth(V_xs,V_i,T_a)=V_x.
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 25.61/25.78 0 [] c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a)=c_List_Onth(V_xs,V_j,T_a)|V_i=V_j.
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a)=V_xs.
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(V_x,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|c_List_Onth(c_List_Olist__update(V_xs,V_x,V_xa,T_a),V_x,T_a)=V_xa.
% 25.61/25.78 0 [] c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,T_a)=V_x| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a)=c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a)=c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a)=V_xs.
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a)=c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)|V_i=V_i_H.
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a)=c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a).
% 25.61/25.78 0 [] c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a)=c_List_Onth(V_xs,V_j,T_a)|V_i=V_j| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a)=c_List_Olist__update(V_xs,V_i,V_y,T_a).
% 25.61/25.78 0 [] c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a)=c_List_Olist_OCons(V_y,V_xs,T_a).
% 25.61/25.78 0 [] c_List_Ohd(c_List_Odrop(V_n,V_xs,T_a),T_a)=c_List_Onth(V_xs,V_n,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a)=c_List_Odrop(V_i,V_xs,T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a)=V_xs.
% 25.61/25.78 0 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 25.61/25.78 0 [] c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a)!=V_ys_092_060_094isub_0622|c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a)!=V_ys_092_060_094isub_0621|V_xs_092_060_094isub_0621!=c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)|c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a)=c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a).
% 25.61/25.78 0 [] c_List_Odrop(V_n,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|c_List_Onth(V_xs,V_n,T_a)=V_y.
% 25.61/25.78 0 [] c_List_Olist__update(V_xs,V_i,V_a,T_a)=c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(V_a,c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] V_xs!=c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a)|c_List_Oappend(V_xs,c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a),T_a)=V_zs.
% 25.61/25.78 0 [] c_List_Olast(c_List_Odrop(V_n,V_xs,T_a),T_a)=c_List_Olast(V_xs,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a)=c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a).
% 25.61/25.78 0 [] c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Odrop(V_n,V_xs,T_a).
% 25.61/25.78 0 [] c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a)=c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a).
% 25.61/25.78 0 [] c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a)=c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a).
% 25.61/25.78 0 [] V_ys=c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 25.61/25.78 0 [] c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_xs.
% 25.61/25.78 0 [] c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a)=c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a).
% 25.61/25.78 0 [] c_List_Odrop(c_Suc(V_n),V_xs,T_a)=c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a).
% 25.61/25.78 0 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=V_xs.
% 25.61/25.78 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a).
% 25.61/25.78 0 [] c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] V_xs=c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(V_n,V_xs,T_a),T_a),c_List_Olist_ONil(T_a),T_a),T_a)=c_List_Otake(c_Suc(V_n),V_xs,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)).
% 25.61/25.78 0 [] c_List_Onth(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),T_a)=V_x.
% 25.61/25.78 0 [] c_List_Osplice(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 25.61/25.78 0 [] c_List_Osplice(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),T_a)=V_x.
% 25.61/25.78 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_nat_H).
% 25.61/25.78 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_m).
% 25.61/25.78 0 [] c_Suc(V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.61/25.78 0 [] c_Suc(V_m)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.61/25.78 0 [] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k)=V_t.
% 25.61/25.78 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Oone__class_Oone(T_a).
% 25.61/25.78 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Oone__class_Oone(T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_n,tc_nat).
% 25.61/25.78 0 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a)=c_Transitive__Closure_Ortranclp(V_r,T_a).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)|c_Suc(V_m)=V_n| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 25.61/25.78 0 [] -class_Int_Oring__char__0(T_a)| -class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(V_x,T_a)!=c_Int_Onumber__class_Onumber__of(V_y,T_a)|V_x=V_y.
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)).
% 25.61/25.78 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(V_r,V_b),V_a))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))| -hBOOL(hAPP(hAPP(V_r,V_b),V_a)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a))=c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))).
% 25.61/25.78 0 [] c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)).
% 25.61/25.78 0 [] c_Wellfounded_Oaccp(V_r,V_b,T_a)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 25.61/25.78 0 [] c_Wellfounded_Oaccp(V_r,V_b,T_a)| -c_Wellfounded_Oaccp(V_r,V_a,T_a)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)).
% 25.61/25.78 0 [] c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 25.61/25.78 0 [] hBOOL(hAPP(c_InductTermi_OIT,V_r))| -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB).
% 25.61/25.78 0 [] c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),V_n,T_a)=c_List_Onth(V_xs,V_n,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] -class_Nat_Osemiring__char__0(T_a)|c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)!=c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)|V_m=V_n.
% 25.61/25.78 0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 25.61/25.78 0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 25.61/25.78 0 [] c_HOL_Oone__class_Oone(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(V_r,V_x),V_y)).
% 25.61/25.78 0 [] c_Predicate_Oconversep(c_fe_qual(T_a),T_a,T_a)=c_fe_qual(T_a).
% 25.61/25.78 0 [] V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat).
% 25.61/25.78 0 [] V_m=V_n| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 25.61/25.78 0 [] V_n=V_m| -c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a))=V_n.
% 25.61/25.78 0 [] c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a)=V_r.
% 25.61/25.78 0 [] c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_n),T_a)=c_List_Onth(V_xs,V_n,T_a).
% 25.61/25.78 0 [] c_Suc(V_n)!=V_n.
% 25.61/25.78 0 [] V_n!=c_Suc(V_n).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))=c_Suc(c_Nat_Osize__class_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)))|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(V_r,V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)).
% 25.61/25.78 0 [] c_Wellfounded_Oaccp(V_r,V_y,T_a)| -hBOOL(hAPP(hAPP(V_r,V_y),V_a))| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 25.61/25.78 0 [] c_Wellfounded_Oaccp(V_r,V_a,T_a)| -hBOOL(hAPP(hAPP(V_r,V_a),V_b))| -c_Wellfounded_Oaccp(V_r,V_b,T_a).
% 25.61/25.78 0 [] c_List_Otake(c_Suc(V_i),V_xs,T_a)=c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Olist_ONil(T_a),T_a),T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 25.61/25.78 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 25.61/25.78 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a).
% 25.61/25.78 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 25.61/25.78 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 25.61/25.78 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 25.61/25.78 0 [] c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a)=V_x.
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat).
% 25.61/25.78 0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a))=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))!=c_HOL_Ozero__class_Ozero(tc_nat)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 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).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 25.61/25.78 0 [] c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a).
% 25.61/25.78 0 [] c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k)=c_Lambda_OdB_OVar(V_i)| -c_HOL_Oord__class_Oless(V_i,V_k,tc_nat).
% 25.61/25.78 0 [] c_List_Onth(c_List_Otake(V_n,V_xs,T_a),V_i,T_a)=c_List_Onth(V_xs,V_i,T_a)| -c_HOL_Oord__class_Oless(V_i,V_n,tc_nat).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 25.61/25.78 0 [] c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)).
% 25.61/25.78 0 [] V_xs=c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 25.61/25.78 0 [] c_List_Oreplicate(c_Suc(V_n),V_x,T_a)=c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a).
% 25.61/25.78 0 [] c_List_Onth(c_List_Oreplicate(V_n,V_x,T_a),V_i,T_a)=V_x| -c_HOL_Oord__class_Oless(V_i,V_n,tc_nat).
% 25.61/25.78 0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -c_Type_Otyping(V_e,V_t,V_T)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)).
% 25.61/25.78 0 [] c_List_Otake(V_n,c_List_Otl(V_xs,T_a),T_a)=c_List_Otl(c_List_Otake(c_Suc(V_n),V_xs,T_a),T_a).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Otake(c_Suc(V_n),V_xs,T_a)=c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Otake(V_n,c_List_Otl(V_xs,T_a),T_a),T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x)=c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)).
% 25.61/25.78 0 [] V_v=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)).
% 25.61/25.78 0 [] c_Int_Onumber__class_Onumber__of(V_v,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 25.61/25.78 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 25.61/25.78 0 [] c_Lambda_Osubstn(V_t,V_s,V_n)=c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n).
% 25.61/25.78 0 [] c_List_Otake(V_n,c_List_Obutlast(V_xs,T_a),T_a)=c_List_Otake(V_n,V_xs,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 0 [] c_List_Ohd(V_xs,T_a)=c_List_Onth(V_xs,c_HOL_Ozero__class_Ozero(tc_nat),T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB).
% 25.61/25.78 0 [] -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB)| -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)|c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB).
% 25.61/25.78 0 [] c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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.
% 25.61/25.78 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).
% 25.61/25.78 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.
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=V_x.
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Otake(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.61/25.78 0 [] c_List_Olist_ONil(T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a).
% 25.61/25.78 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))).
% 25.61/25.78 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).
% 25.61/25.78 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 25.61/25.78 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 25.61/25.78 0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 25.61/25.78 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 25.61/25.78 0 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)).
% 25.61/25.78 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 25.61/25.78 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 25.61/25.78 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Orev(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Orotate1(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 25.61/25.78 0 [] c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Orotate1(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] -c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a).
% 25.61/25.78 0 [] -c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a).
% 25.61/25.78 0 [] c_List_Olist_ONil(T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Otl(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Obutlast(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olist_ONil(T_a)=c_List_Orev(c_List_Olist_ONil(T_a),T_a).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_xs.
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_x.
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 25.61/25.78 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).
% 25.61/25.78 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 25.61/25.78 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_m=V_n.
% 25.61/25.78 0 [] V_xs=c_List_Orev(c_List_Orev(V_xs,T_a),T_a).
% 25.61/25.78 0 [] c_List_Orev(c_List_Orev(V_ys,T_a),T_a)=V_ys.
% 25.61/25.78 0 [] c_List_Orev(c_List_Orev(V_xs,T_a),T_a)=V_xs.
% 25.61/25.78 0 [] c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k)=c_Lambda_OdB_OVar(V_i)|V_i=V_k|c_HOL_Oord__class_Oless(V_k,V_i,tc_nat).
% 25.61/25.78 0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_nat).
% 25.61/25.78 0 [] -c_HOL_Oord__class_Oless(V_n,V_n,tc_nat).
% 25.61/25.78 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 25.61/25.78 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 25.61/25.78 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 25.61/25.78 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 25.61/25.78 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|V_m=V_n.
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(V_P,V_n),V_m))|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)|V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)|V_x=V_y.
% 25.61/25.78 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 25.61/25.78 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 25.61/25.78 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 25.61/25.78 0 [] c_List_Orev(V_xs,T_a)!=c_List_Orev(V_ys,T_a)|V_xs=V_ys.
% 25.61/25.78 0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))| -c_Type_Otyping(V_e,V_t,V_T).
% 25.61/25.78 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 25.61/25.78 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 25.61/25.78 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 25.61/25.78 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat))=c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)).
% 25.61/25.78 0 [] c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.61/25.78 0 [] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.61/25.78 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).
% 25.61/25.78 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.
% 25.61/25.78 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.
% 25.61/25.78 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 25.61/25.78 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.
% 25.61/25.78 0 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i)=c_Lambda_OdB_OVar(V_j)| -c_HOL_Oord__class_Oless(V_j,V_i,tc_nat).
% 25.61/25.78 0 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k)=c_Lambda_OdB_OVar(V_i)|V_i=V_k|c_HOL_Oord__class_Oless(V_k,V_i,tc_nat).
% 25.61/25.78 0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x)=V_s.
% 25.61/25.78 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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.
% 25.61/25.78 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.
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)|V_r=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__e_q__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB)|V_ts=c_List_Olist_ONil(tc_Lambda_OdB).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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))).
% 25.61/25.78 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)|V_ts=c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__e_q__foldl__conv__1__1(V_r,V_s,V_t,V_ts),c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)|V_ts=c_List_Olist_ONil(tc_Lambda_OdB).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 25.61/25.78 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).
% 25.61/25.78 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.
% 25.61/25.78 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.
% 25.61/25.78 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)).
% 25.61/25.78 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 25.61/25.78 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).
% 25.61/25.78 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.
% 25.61/25.78 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.
% 25.61/25.78 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.
% 25.61/25.78 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.
% 25.61/25.78 0 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k)=V_u.
% 25.61/25.78 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).
% 25.61/25.78 0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 25.61/25.78 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)).
% 25.61/25.78 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.
% 25.61/25.78 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 25.61/25.78 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.
% 25.61/25.78 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.
% 25.61/25.78 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.
% 25.61/25.78 0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 25.61/25.78 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 25.61/25.78 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 25.61/25.78 0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 25.61/25.78 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 25.61/25.78 0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 25.61/25.78 0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 25.61/25.78 0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 25.61/25.78 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 25.61/25.78 0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 25.61/25.78 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 25.61/25.78 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.
% 25.61/25.78 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 25.61/25.78 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 25.61/25.78 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).
% 25.61/25.78 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).
% 25.61/25.78 0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 25.61/25.78 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).
% 25.61/25.78 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 25.61/25.78 0 [] 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))).
% 25.61/25.78 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,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)),c_Lambda_OdB_OVar(v_i)))).
% 25.61/25.78 0 [] hBOOL(hAPP(c_InductTermi_OIT,v_s)).
% 25.61/25.78 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,v_s),c_Lambda_OdB_OVar(v_i)))).
% 25.61/25.78 0 [] -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)),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))).
% 25.69/25.78 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 25.69/25.78 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 25.69/25.78 0 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 25.69/25.78 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 25.69/25.78 0 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 25.69/25.78 0 [] class_Nat_Osemiring__char__0(tc_nat).
% 25.69/25.78 0 [] class_Orderings_Opreorder(tc_nat).
% 25.69/25.78 0 [] class_Orderings_Olinorder(tc_nat).
% 25.69/25.78 0 [] class_Orderings_Oorder(tc_nat).
% 25.69/25.78 0 [] class_Orderings_Opreorder(tc_bool).
% 25.69/25.78 0 [] class_Orderings_Oorder(tc_bool).
% 25.69/25.78 0 [] class_Ring__and__Field_Oordered__semidom(tc_Int_Oint).
% 25.69/25.78 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Int_Oint).
% 25.69/25.78 0 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 25.69/25.78 0 [] class_Ring__and__Field_Osemiring__1(tc_Int_Oint).
% 25.69/25.78 0 [] class_Nat_Osemiring__char__0(tc_Int_Oint).
% 25.69/25.78 0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 25.69/25.78 0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 25.69/25.78 0 [] class_Orderings_Oorder(tc_Int_Oint).
% 25.69/25.78 0 [] class_Int_Oring__char__0(tc_Int_Oint).
% 25.69/25.78 0 [] class_Int_Onumber__ring(tc_Int_Oint).
% 25.69/25.78 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 25.69/25.78 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 25.69/25.78 end_of_list.
% 25.69/25.78
% 25.69/25.78 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 25.69/25.78
% 25.69/25.78 This ia a non-Horn set with equality. The strategy will be
% 25.69/25.78 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 25.69/25.78 deletion, with positive clauses in sos and nonpositive
% 25.69/25.78 clauses in usable.
% 25.69/25.78
% 25.69/25.78 dependent: set(knuth_bendix).
% 25.69/25.78 dependent: set(anl_eq).
% 25.69/25.78 dependent: set(para_from).
% 25.69/25.78 dependent: set(para_into).
% 25.69/25.78 dependent: clear(para_from_right).
% 25.69/25.78 dependent: clear(para_into_right).
% 25.69/25.78 dependent: set(para_from_vars).
% 25.69/25.78 dependent: set(eq_units_both_ways).
% 25.69/25.78 dependent: set(dynamic_demod_all).
% 25.69/25.78 dependent: set(dynamic_demod).
% 25.69/25.78 dependent: set(order_eq).
% 25.69/25.78 dependent: set(back_demod).
% 25.69/25.78 dependent: set(lrpo).
% 25.69/25.78 dependent: set(hyper_res).
% 25.69/25.78 dependent: set(unit_deletion).
% 25.69/25.78 dependent: set(factor).
% 25.69/25.78
% 25.69/25.78 ------------> process usable:
% 25.69/25.78 ** KEPT (pick-wt=12): 1 [] c_List_Olist__update(A,B,C,D)!=c_List_Olist_ONil(D)|A=c_List_Olist_ONil(D).
% 25.69/25.78 ** KEPT (pick-wt=20): 2 [] c_List_Olist__update(A,B,C,D)!=A| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat)|c_List_Onth(A,B,D)=C.
% 25.69/25.78 ** KEPT (pick-wt=17): 3 [] -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat)|c_List_Olist__update(B,A,c_List_Onth(B,A,C),C)=B.
% 25.69/25.78 ** KEPT (pick-wt=17): 4 [] -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat)|c_List_Onth(c_List_Olist__update(B,A,D,C),A,C)=D.
% 25.69/25.78 Following clause subsumed by 4 during input processing: 0 [] c_List_Onth(c_List_Olist__update(A,B,C,D),B,D)=C| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=24): 6 [copy,5,flip.1] c_List_Oappend(c_List_Olist__update(A,B,C,D),E,D)=c_List_Olist__update(c_List_Oappend(A,E,D),B,C,D)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 25.69/25.78 Following clause subsumed by 6 during input processing: 0 [flip.1] c_List_Oappend(c_List_Olist__update(A,D,E,C),B,C)=c_List_Olist__update(c_List_Oappend(A,B,C),D,E,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=23): 7 [] c_List_Onth(c_List_Olist__update(A,B,C,D),E,D)=c_List_Onth(A,E,D)|B=E| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=22): 8 [] c_List_Ohd(c_List_Odrop(A,B,C),C)=c_List_Onth(B,A,C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat)|B=c_List_Olist_ONil(C).
% 25.69/25.78 ** KEPT (pick-wt=23): 9 [] c_List_Olist_OCons(c_List_Onth(A,B,C),c_List_Odrop(c_Suc(B),A,C),C)=c_List_Odrop(B,A,C)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=57): 11 [copy,10,flip.3] c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),A,B),D,B),B)!=D|c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B)!=A|c_List_Otake(c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),A,B)!=C|c_List_Oappend(C,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(C,tc_List_Olist(B)),A,B),D,B),B)=c_List_Oappend(A,D,B).
% 25.69/25.78 ** KEPT (pick-wt=15): 12 [] c_List_Odrop(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Onth(B,A,C)=D.
% 25.69/25.78 ** KEPT (pick-wt=27): 14 [copy,13,flip.1] c_List_Oappend(c_List_Otake(A,B,C),c_List_Olist_OCons(D,c_List_Odrop(c_Suc(A),B,C),C),C)=c_List_Olist__update(B,A,D,C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=21): 16 [copy,15,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B)!=A|c_List_Oappend(A,c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),C,B),B)=C.
% 25.69/25.78 ** KEPT (pick-wt=17): 17 [] c_List_Olast(c_List_Odrop(A,B,C),C)=c_List_Olast(B,C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=20): 18 [] c_Int_Onumber__class_Onumber__of(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Odrop(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,C,D).
% 25.69/25.78 ** KEPT (pick-wt=37): 19 [] 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).
% 25.69/25.78 ** KEPT (pick-wt=18): 20 [] 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).
% 25.69/25.78 ** KEPT (pick-wt=26): 22 [copy,21,flip.1] c_List_Oappend(c_List_Otake(A,B,C),c_List_Olist_OCons(c_List_Onth(B,A,C),c_List_Odrop(c_Suc(A),B,C),C),C)=B| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=29): 23 [] c_List_Oappend(c_List_Otake(A,B,C),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(A,B,C),C),c_List_Olist_ONil(C),C),C)=c_List_Otake(c_Suc(A),B,C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=17): 24 [] c_Int_Onumber__class_Onumber__of(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Onth(c_List_Olist_OCons(B,C,D),c_Int_Onumber__class_Onumber__of(A,tc_nat),D)=B.
% 25.69/25.78 ** KEPT (pick-wt=5): 26 [copy,25,flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.78 Following clause subsumed by 26 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.78 Following clause subsumed by 26 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.78 Following clause subsumed by 26 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=7): 27 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 25.69/25.78 Following clause subsumed by 27 during input processing: 0 [flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 25.69/25.78 ** KEPT (pick-wt=10): 28 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=10): 29 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat).
% 25.69/25.78 Following clause subsumed by 28 during input processing: 0 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=9): 30 [] -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=13): 31 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)|c_Suc(A)=B| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 25.69/25.78 ** KEPT (pick-wt=14): 32 [] -class_Int_Oring__char__0(A)| -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_Int_Onumber__class_Onumber__of(C,A)|B=C.
% 25.69/25.78 ** KEPT (pick-wt=19): 33 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(A,B,B),B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),D),C)).
% 25.69/25.79 ** KEPT (pick-wt=19): 34 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(A,B,B),B),D),C)).
% 25.69/25.79 ** KEPT (pick-wt=9): 35 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 25.69/25.79 ** KEPT (pick-wt=15): 36 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 25.69/25.79 ** KEPT (pick-wt=15): 37 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 25.69/25.79 Following clause subsumed by 36 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 25.69/25.79 Following clause subsumed by 37 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 25.69/25.79 ** KEPT (pick-wt=16): 38 [] c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,C),B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 25.69/25.79 Following clause subsumed by 38 during input processing: 0 [] c_Wellfounded_Oaccp(A,B,C)| -c_Wellfounded_Oaccp(A,D,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,C),B),D)).
% 25.69/25.79 ** KEPT (pick-wt=24): 39 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 25.69/25.79 ** KEPT (pick-wt=11): 40 [] c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),A,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 25.69/25.79 ** KEPT (pick-wt=11): 41 [] hBOOL(hAPP(c_InductTermi_OIT,A))| -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),A,tc_Lambda_OdB).
% 25.69/25.79 ** KEPT (pick-wt=19): 42 [] c_List_Onth(c_List_Oappend(A,B,C),D,C)=c_List_Onth(A,D,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=12): 43 [] -class_Nat_Osemiring__char__0(A)|c_Nat_Osemiring__1__class_Oof__nat(B,A)!=c_Nat_Osemiring__1__class_Oof__nat(C,A)|B=C.
% 25.69/25.79 ** KEPT (pick-wt=8): 44 [] c_Suc(A)!=c_Suc(B)|A=B.
% 25.69/25.79 Following clause subsumed by 44 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 25.69/25.79 ** KEPT (pick-wt=14): 45 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,C),D)).
% 25.69/25.79 ** KEPT (pick-wt=12): 46 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=12): 47 [] A=B| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 25.69/25.79 Following clause subsumed by 46 during input processing: 0 [] A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=13): 48 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(C,B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=4): 49 [] c_Suc(A)!=A.
% 25.69/25.79 Following clause subsumed by 49 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 25.69/25.79 ** KEPT (pick-wt=9): 50 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=9): 51 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=22): 52 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 25.69/25.79 ** KEPT (pick-wt=22): 53 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 25.69/25.79 ** KEPT (pick-wt=14): 54 [] c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 25.69/25.79 Following clause subsumed by 54 during input processing: 0 [] c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 25.69/25.79 ** KEPT (pick-wt=27): 55 [] c_List_Otake(c_Suc(A),B,C)=c_List_Oappend(c_List_Otake(A,B,C),c_List_Olist_OCons(c_List_Onth(B,A,C),c_List_Olist_ONil(C),C),C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=9): 56 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 25.69/25.79 ** KEPT (pick-wt=8): 57 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 25.69/25.79 ** KEPT (pick-wt=8): 58 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 25.69/25.79 ** KEPT (pick-wt=9): 59 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Ozero__class_Ozero(A).
% 25.69/25.79 ** KEPT (pick-wt=14): 60 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=14): 61 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A).
% 25.69/25.79 ** KEPT (pick-wt=10): 62 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=11): 63 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_List_Olist_ONil(B).
% 25.69/25.79 ** KEPT (pick-wt=32): 64 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),D)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 25.69/25.79 ** KEPT (pick-wt=24): 65 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 25.69/25.79 ** KEPT (pick-wt=24): 66 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),C)).
% 25.69/25.79 ** KEPT (pick-wt=18): 67 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),B)).
% 25.69/25.79 ** KEPT (pick-wt=12): 68 [] c_Lambda_Oliftn(A,c_Lambda_OdB_OVar(B),C)=c_Lambda_OdB_OVar(B)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=16): 69 [] c_List_Onth(c_List_Otake(A,B,C),D,C)=c_List_Onth(B,D,C)| -c_HOL_Oord__class_Oless(D,A,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=20): 70 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(A,D,C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,B),D)).
% 25.69/25.79 ** KEPT (pick-wt=22): 71 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),D)).
% 25.69/25.79 ** KEPT (pick-wt=22): 72 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(A,D,C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D)).
% 25.69/25.79 ** KEPT (pick-wt=20): 73 [] c_ListOrder_Ostep1(c_Lambda_Obeta,A,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(B,A,C),tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(B),A,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 25.69/25.79 ** KEPT (pick-wt=13): 74 [] c_List_Onth(c_List_Oreplicate(A,B,C),D,C)=B| -c_HOL_Oord__class_Oless(D,A,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=16): 75 [] c_Type_Otyping(A,B,C)| -c_Type_Otyping(A,D,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),D),B)).
% 25.69/25.79 ** KEPT (pick-wt=24): 77 [copy,76,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(A,B,C),tc_Lambda_OdB,tc_Lambda_OdB)=C| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 25.69/25.79 ** KEPT (pick-wt=18): 78 [] c_Int_Onumber__class_Onumber__of(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Otake(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D).
% 25.69/25.79 ** KEPT (pick-wt=14): 79 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 25.69/25.79 ** KEPT (pick-wt=14): 80 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=18): 81 [] c_List_Otake(A,c_List_Obutlast(B,C),C)=c_List_Otake(A,B,C)| -c_HOL_Oord__class_Oless(A,c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=26): 82 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),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)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 25.69/25.79 ** KEPT (pick-wt=21): 83 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,A,C,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_ListOrder_Ostep1(c_Lambda_Obeta,B,C,tc_Lambda_OdB).
% 25.69/25.79 ** KEPT (pick-wt=40): 84 [] -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB)| -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),B,tc_Lambda_OdB)|c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB).
% 25.69/25.79 ** KEPT (pick-wt=9): 85 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A)),tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=19): 86 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=26): 87 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=26): 88 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=26): 90 [copy,89,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).
% 25.69/25.79 ** KEPT (pick-wt=26): 92 [copy,91,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.
% 25.69/25.79 ** KEPT (pick-wt=16): 93 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=16): 94 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=15): 95 [] c_List_Otake(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=11): 96 [] c_List_Oreplicate(A,B,C)!=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=11): 97 [] c_List_Olist_ONil(A)!=c_List_Oreplicate(B,C,A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=9): 98 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 25.69/25.79 ** KEPT (pick-wt=10): 99 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 25.69/25.79 ** KEPT (pick-wt=5): 100 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 25.69/25.79 ** KEPT (pick-wt=7): 101 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(A)),B)).
% 25.69/25.79 ** KEPT (pick-wt=5): 102 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 25.69/25.79 ** KEPT (pick-wt=18): 103 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),D)).
% 25.69/25.79 ** KEPT (pick-wt=16): 104 [] -c_ListOrder_Ostep1(A,B,C,D)|c_ListOrder_Ostep1(A,c_List_Oappend(B,E,D),c_List_Oappend(C,E,D),D).
% 25.69/25.79 ** KEPT (pick-wt=16): 105 [] c_ListOrder_Ostep1(A,c_List_Oappend(B,C,D),c_List_Oappend(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 25.69/25.79 ** KEPT (pick-wt=11): 106 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(B,D,C),C).
% 25.69/25.79 ** KEPT (pick-wt=11): 107 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(D,B,C),C).
% 25.69/25.79 ** KEPT (pick-wt=15): 108 [] c_List_Olistsp(A,c_List_Oappend(B,C,D),D)| -c_List_Olistsp(A,C,D)| -c_List_Olistsp(A,B,D).
% 25.69/25.79 ** KEPT (pick-wt=20): 109 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 25.69/25.79 ** KEPT (pick-wt=20): 110 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,B),C)).
% 25.69/25.79 ** KEPT (pick-wt=8): 111 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 25.69/25.79 ** KEPT (pick-wt=8): 112 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 25.69/25.79 ** KEPT (pick-wt=10): 113 [] c_List_Orev(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 25.69/25.79 ** KEPT (pick-wt=10): 114 [] c_List_Orotate1(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 25.69/25.79 ** KEPT (pick-wt=6): 115 [] -c_ListOrder_Ostep1(A,c_List_Olist_ONil(B),C,B).
% 25.69/25.79 ** KEPT (pick-wt=6): 116 [] -c_ListOrder_Ostep1(A,B,c_List_Olist_ONil(C),C).
% 25.69/25.79 ** KEPT (pick-wt=10): 117 [] c_List_Olist_ONil(A)!=c_List_Orev(B,A)|B=c_List_Olist_ONil(A).
% 25.69/25.79 ** KEPT (pick-wt=20): 118 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=17): 119 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Olist_OCons(B,D,F),c_List_Olist_OCons(A,C,F),F).
% 25.69/25.79 ** KEPT (pick-wt=17): 120 [] -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).
% 25.69/25.79 ** KEPT (pick-wt=19): 121 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=22): 122 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=16): 123 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=16): 124 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|B=E|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=5): 125 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 25.69/25.79 Following clause subsumed by 125 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 25.69/25.79 Following clause subsumed by 125 during input processing: 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=14): 126 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),B)).
% 25.69/25.79 ** KEPT (pick-wt=14): 127 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 25.69/25.79 ** KEPT (pick-wt=14): 128 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 25.69/25.79 ** KEPT (pick-wt=12): 129 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|A=D.
% 25.69/25.79 ** KEPT (pick-wt=8): 130 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 25.69/25.79 ** KEPT (pick-wt=4): 131 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 25.69/25.79 Following clause subsumed by 131 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=6): 132 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 25.69/25.79 ** KEPT (pick-wt=6): 133 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 25.69/25.79 ** KEPT (pick-wt=6): 134 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 25.69/25.79 ** KEPT (pick-wt=13): 135 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 25.69/25.79 ** KEPT (pick-wt=13): 136 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 25.69/25.79 Following clause subsumed by 136 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 25.69/25.79 Following clause subsumed by 136 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 25.69/25.79 Following clause subsumed by 136 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 25.69/25.79 ** KEPT (pick-wt=10): 137 [] c_List_Orev(A,B)!=c_List_Orev(C,B)|A=C.
% 25.69/25.79 ** KEPT (pick-wt=14): 138 [] c_Type_Otyping(A,B,C)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,D),B))| -c_Type_Otyping(A,D,C).
% 25.69/25.79 ** KEPT (pick-wt=10): 139 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 25.69/25.79 ** KEPT (pick-wt=10): 140 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 25.69/25.79 ** KEPT (pick-wt=10): 141 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 25.69/25.79 Following clause subsumed by 141 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 25.69/25.79 ** KEPT (pick-wt=13): 142 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=18): 143 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=18): 144 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=22): 145 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,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)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 25.69/25.79 ** KEPT (pick-wt=13): 146 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=12): 147 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,C)=c_Lambda_OdB_OVar(A)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=24): 149 [copy,148,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).
% 25.69/25.79 ** KEPT (pick-wt=24): 151 [copy,150,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).
% 25.69/25.79 ** KEPT (pick-wt=25): 152 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=28): 153 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=24): 154 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=24): 155 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=30): 156 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=20): 157 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=27): 158 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=23): 159 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=15): 160 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=14): 161 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=13): 162 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=28): 164 [copy,163,flip.2] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,D,tc_Lambda_OdB,tc_Lambda_OdB)|c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_ListApplication_Osko__ListApplication__XApp__e_q__foldl__conv__1__1(A,B,C,D),tc_Lambda_OdB,tc_Lambda_OdB)=A|D=c_List_Olist_ONil(tc_Lambda_OdB).
% 25.69/25.79 ** KEPT (pick-wt=13): 165 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=14): 166 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=31): 167 [] 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))).
% 25.69/25.79 ** KEPT (pick-wt=30): 169 [copy,168,flip.2] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,D,tc_Lambda_OdB,tc_Lambda_OdB)|c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__e_q__foldl__conv__1__1(A,B,C,D),c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)=D|D=c_List_Olist_ONil(tc_Lambda_OdB).
% 25.69/25.79 ** KEPT (pick-wt=20): 170 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=20): 171 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=8): 172 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 25.69/25.79 ** KEPT (pick-wt=18): 173 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=18): 174 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=12): 175 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 25.69/25.79 ** KEPT (pick-wt=12): 176 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 25.69/25.79 ** KEPT (pick-wt=10): 178 [copy,177,flip.1] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 25.69/25.79 Following clause subsumed by 178 during input processing: 0 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 25.69/25.79 ** KEPT (pick-wt=10): 180 [copy,179,flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 25.69/25.79 Following clause subsumed by 180 during input processing: 0 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 25.69/25.79 ** KEPT (pick-wt=12): 181 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(A,c_Lambda_OdB_OVar(B),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 25.69/25.79 ** KEPT (pick-wt=20): 182 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=7): 183 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 25.69/25.79 ** KEPT (pick-wt=14): 184 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 25.69/25.79 ** KEPT (pick-wt=14): 185 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 25.69/25.79 ** KEPT (pick-wt=13): 186 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=8): 187 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 25.69/25.79 ** KEPT (pick-wt=11): 188 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 25.69/25.79 ** KEPT (pick-wt=11): 189 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 25.69/25.79 ** KEPT (pick-wt=35): 191 [copy,190,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).
% 25.69/25.79 ** KEPT (pick-wt=11): 192 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 25.69/25.79 ** KEPT (pick-wt=11): 193 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 25.69/25.79 ** KEPT (pick-wt=12): 194 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 25.69/25.79 ** KEPT (pick-wt=12): 195 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 25.69/25.79 ** KEPT (pick-wt=7): 196 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 25.69/25.79 Following clause subsumed by 196 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 25.69/25.79 ** KEPT (pick-wt=16): 197 [] 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.
% 25.69/25.79 ** KEPT (pick-wt=6): 198 [] c_List_Olist_OCons(A,B,C)!=B.
% 25.69/25.79 Following clause subsumed by 198 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 25.69/25.79 ** KEPT (pick-wt=13): 199 [] 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).
% 25.69/25.79 ** KEPT (pick-wt=8): 200 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 25.69/25.79 ** KEPT (pick-wt=21): 201 [] -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)),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))).
% 25.69/25.79 ** KEPT (pick-wt=6): 202 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 25.69/25.79 ** KEPT (pick-wt=6): 203 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 25.69/25.79 ** KEPT (pick-wt=10): 204 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 25.69/25.79 Following clause subsumed by 102 during input processing: 0 [copy,100,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 25.69/25.79 Following clause subsumed by 100 during input processing: 0 [copy,102,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 25.69/25.79 Following clause subsumed by 112 during input processing: 0 [copy,111,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 25.69/25.79 Following clause subsumed by 111 during input processing: 0 [copy,112,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 25.69/25.79 ** KEPT (pick-wt=15): 214 [copy,160,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).
% 25.69/25.79 ** KEPT (pick-wt=14): 215 [copy,161,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).
% 25.69/25.79 Following clause subsumed by 196 during input processing: 0 [copy,183,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 25.69/25.79 Following clause subsumed by 200 during input processing: 0 [copy,187,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 25.69/25.79 Following clause subsumed by 183 during input processing: 0 [copy,196,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 25.69/25.79 Following clause subsumed by 187 during input processing: 0 [copy,200,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 25.69/25.79 Following clause subsumed by 160 during input processing: 0 [copy,214,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).
% 25.69/25.79 Following clause subsumed by 161 during input processing: 0 [copy,215,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).
% 25.69/25.79
% 25.69/25.79 ------------> process sos:
% 25.69/25.79 ** KEPT (pick-wt=3): 216 [] A=A.
% 25.69/25.79 ** KEPT (pick-wt=22): 217 [] c_List_Olist__update(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),E,D)=c_List_Oappend(A,c_List_Olist_OCons(E,C,D),D).
% 25.69/25.79 ** KEPT (pick-wt=9): 218 [] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 25.69/25.79 ---> New Demodulator: 219 [new_demod,218] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 25.69/25.79 Following clause subsumed by 216 during input processing: 0 [demod,219] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 25.69/25.79 Following clause subsumed by 216 during input processing: 0 [demod,219] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 25.69/25.79 ** KEPT (pick-wt=13): 220 [] c_Nat_Osize__class_Osize(c_List_Olist__update(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(A,tc_List_Olist(D)).
% 25.69/25.79 ---> New Demodulator: 221 [new_demod,220] c_Nat_Osize__class_Osize(c_List_Olist__update(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(A,tc_List_Olist(D)).
% 25.69/25.79 ** KEPT (pick-wt=16): 222 [] c_List_Onth(c_List_Olist__update(A,B,C,D),E,D)=c_List_Onth(A,E,D)|B=E.
% 25.69/25.79 ** KEPT (pick-wt=10): 223 [] c_List_Olist__update(A,B,c_List_Onth(A,B,C),C)=A.
% 25.69/25.79 ---> New Demodulator: 224 [new_demod,223] c_List_Olist__update(A,B,c_List_Onth(A,B,C),C)=A.
% 25.69/25.79 ** KEPT (pick-wt=22): 225 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),E,F,D)=c_List_Olist__update(c_List_Olist__update(A,E,F,D),B,C,D)|B=E.
% 25.69/25.79 ** KEPT (pick-wt=18): 226 [] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_Suc(D),E,C)=c_List_Olist_OCons(A,c_List_Olist__update(B,D,E,C),C).
% 25.69/25.79 ** KEPT (pick-wt=15): 227 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 25.69/25.79 ---> New Demodulator: 228 [new_demod,227] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 25.69/25.79 ** KEPT (pick-wt=14): 229 [] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),D,C)=c_List_Olist_OCons(D,B,C).
% 25.69/25.79 ** KEPT (pick-wt=12): 230 [] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 25.69/25.79 ---> New Demodulator: 231 [new_demod,230] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 25.69/25.79 ** KEPT (pick-wt=13): 232 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,B,C).
% 25.69/25.79 ---> New Demodulator: 233 [new_demod,232] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,B,C).
% 25.69/25.79 ** KEPT (pick-wt=13): 235 [copy,234,flip.1] c_List_Otl(c_List_Odrop(A,B,C),C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 25.69/25.79 ---> New Demodulator: 236 [new_demod,235] c_List_Otl(c_List_Odrop(A,B,C),C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 25.69/25.79 ** KEPT (pick-wt=13): 237 [] c_List_Odrop(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(A,C,D).
% 25.69/25.79 ---> New Demodulator: 238 [new_demod,237] c_List_Odrop(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(A,C,D).
% 25.69/25.79 ** KEPT (pick-wt=13): 240 [copy,239,flip.1] c_List_Obutlast(c_List_Odrop(A,B,C),C)=c_List_Odrop(A,c_List_Obutlast(B,C),C).
% 25.69/25.79 ---> New Demodulator: 241 [new_demod,240] c_List_Obutlast(c_List_Odrop(A,B,C),C)=c_List_Odrop(A,c_List_Obutlast(B,C),C).
% 25.69/25.79 Following clause subsumed by 216 during input processing: 0 [demod,236] c_List_Odrop(A,c_List_Otl(B,C),C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 25.69/25.79 ** KEPT (pick-wt=12): 243 [copy,242,flip.1] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 25.69/25.79 ---> New Demodulator: 244 [new_demod,243] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 25.69/25.79 ** KEPT (pick-wt=10): 245 [] c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=B.
% 25.69/25.79 ---> New Demodulator: 246 [new_demod,245] c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=B.
% 25.69/25.79 Following clause subsumed by 216 during input processing: 0 [demod,241] c_List_Odrop(A,c_List_Obutlast(B,C),C)=c_List_Odrop(A,c_List_Obutlast(B,C),C).
% 25.69/25.79 ** KEPT (pick-wt=12): 247 [] c_List_Odrop(c_Suc(A),B,C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 25.69/25.79 ** KEPT (pick-wt=7): 248 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 25.69/25.79 ---> New Demodulator: 249 [new_demod,248] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 25.69/25.79 ** KEPT (pick-wt=8): 250 [] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 25.69/25.79 ---> New Demodulator: 251 [new_demod,250] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 25.69/25.79 ** KEPT (pick-wt=20): 253 [copy,252,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(A,B,C)),c_Lambda_Oliftn(A,D,C))=c_Lambda_Oliftn(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),D),C).
% 25.69/25.79 ---> New Demodulator: 254 [new_demod,253] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(A,B,C)),c_Lambda_Oliftn(A,D,C))=c_Lambda_Oliftn(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),D),C).
% 25.69/25.79 ** KEPT (pick-wt=15): 255 [] c_List_Onth(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),D)=B.
% 25.69/25.79 ---> New Demodulator: 256 [new_demod,255] c_List_Onth(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),D)=B.
% 25.69/25.79 ** KEPT (pick-wt=7): 257 [] c_List_Osplice(c_List_Olist_ONil(A),B,A)=B.
% 25.69/25.79 ---> New Demodulator: 258 [new_demod,257] c_List_Osplice(c_List_Olist_ONil(A),B,A)=B.
% 25.69/25.79 ** KEPT (pick-wt=7): 259 [] c_List_Osplice(A,c_List_Olist_ONil(B),B)=A.
% 25.69/25.79 ---> New Demodulator: 260 [new_demod,259] c_List_Osplice(A,c_List_Olist_ONil(B),B)=A.
% 25.69/25.79 ** KEPT (pick-wt=21): 261 [] 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).
% 25.69/25.79 ---> New Demodulator: 262 [new_demod,261] 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).
% 25.69/25.79 ** KEPT (pick-wt=7): 263 [] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 25.69/25.79 ---> New Demodulator: 264 [new_demod,263] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 25.69/25.79 ** KEPT (pick-wt=9): 265 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 25.69/25.79 ---> New Demodulator: 266 [new_demod,265] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 25.69/25.79 ** KEPT (pick-wt=9): 267 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=5): 269 [copy,268,unit_del,131] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=13): 270 [] c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=c_Suc(c_Nat_Osize__class_Osize(B,tc_List_Olist(C))).
% 25.69/25.79 ** KEPT (pick-wt=13): 271 [] c_Suc(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 25.69/25.79 ** KEPT (pick-wt=8): 272 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 25.69/25.79 Following clause subsumed by 272 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 25.69/25.79 ** KEPT (pick-wt=6): 274 [copy,273,flip.1] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_nat).
% 25.69/25.79 ---> New Demodulator: 275 [new_demod,274] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_nat).
% 25.69/25.79 ** KEPT (pick-wt=8): 276 [] c_Predicate_Oconversep(c_fe_qual(A),A,A)=c_fe_qual(A).
% 25.69/25.79 ---> New Demodulator: 277 [new_demod,276] c_Predicate_Oconversep(c_fe_qual(A),A,A)=c_fe_qual(A).
% 25.69/25.79 ** KEPT (pick-wt=11): 278 [] c_Nat_Osize__class_Osize(c_List_Orotate1(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 25.69/25.80 ---> New Demodulator: 279 [new_demod,278] c_Nat_Osize__class_Osize(c_List_Orotate1(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 25.69/25.80 Following clause subsumed by 269 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 25.69/25.80 Following clause subsumed by 269 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=9): 280 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 25.69/25.80 ---> New Demodulator: 281 [new_demod,280] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 25.69/25.80 ** KEPT (pick-wt=9): 282 [] c_Predicate_Oconversep(c_Predicate_Oconversep(A,B,C),C,B)=A.
% 25.69/25.80 ---> New Demodulator: 283 [new_demod,282] c_Predicate_Oconversep(c_Predicate_Oconversep(A,B,C),C,B)=A.
% 25.69/25.80 ** KEPT (pick-wt=13): 284 [] c_List_Onth(c_List_Olist_OCons(A,B,C),c_Suc(D),C)=c_List_Onth(B,D,C).
% 25.69/25.80 ---> New Demodulator: 285 [new_demod,284] c_List_Onth(c_List_Olist_OCons(A,B,C),c_Suc(D),C)=c_List_Onth(B,D,C).
% 25.69/25.80 ** KEPT (pick-wt=16): 287 [copy,286,flip.1] c_Suc(c_Nat_Osize__class_Osize(c_List_Otl(A,B),tc_List_Olist(B)))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B))|A=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=11): 288 [] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 25.69/25.80 ---> New Demodulator: 289 [new_demod,288] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 25.69/25.80 ** KEPT (pick-wt=10): 290 [] c_List_Onth(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),C)=A.
% 25.69/25.80 ---> New Demodulator: 291 [new_demod,290] c_List_Onth(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),C)=A.
% 25.69/25.80 ** KEPT (pick-wt=6): 292 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 25.69/25.80 Following clause subsumed by 292 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=6): 294 [copy,293,demod,275] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=8): 295 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 ---> New Demodulator: 296 [new_demod,295] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,260] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 25.69/25.80 ** KEPT (pick-wt=16): 297 [] c_List_Otake(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Otake(A,C,D),D).
% 25.69/25.80 ---> New Demodulator: 298 [new_demod,297] c_List_Otake(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Otake(A,C,D),D).
% 25.69/25.80 ** KEPT (pick-wt=12): 300 [copy,299,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 25.69/25.80 ---> New Demodulator: 301 [new_demod,300] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 25.69/25.80 ** KEPT (pick-wt=13): 302 [] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 25.69/25.80 ---> New Demodulator: 303 [new_demod,302] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 25.69/25.80 ** KEPT (pick-wt=14): 305 [copy,304,flip.1] c_List_Otl(c_List_Otake(c_Suc(A),B,C),C)=c_List_Otake(A,c_List_Otl(B,C),C).
% 25.69/25.80 ---> New Demodulator: 306 [new_demod,305] c_List_Otl(c_List_Otake(c_Suc(A),B,C),C)=c_List_Otake(A,c_List_Otl(B,C),C).
% 25.69/25.80 ** KEPT (pick-wt=17): 307 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=11): 308 [] c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(A),B,A),A)=c_List_Ohd(B,A).
% 25.69/25.80 ---> New Demodulator: 309 [new_demod,308] c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(A),B,A),A)=c_List_Ohd(B,A).
% 25.69/25.80 ** KEPT (pick-wt=11): 310 [] c_List_Olast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Olast(A,B).
% 25.69/25.80 ---> New Demodulator: 311 [new_demod,310] c_List_Olast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Olast(A,B).
% 25.69/25.80 ** KEPT (pick-wt=14): 312 [] c_List_Olast(c_List_Oappend(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 25.69/25.80 ** KEPT (pick-wt=21): 313 [] c_List_Otake(c_Suc(A),B,C)=c_List_Olist_OCons(c_List_Ohd(B,C),c_List_Otake(A,c_List_Otl(B,C),C),C)|B=c_List_Olist_ONil(C).
% 25.69/25.80 ** KEPT (pick-wt=26): 314 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=11): 316 [copy,315,unit_del,131] c_Lambda_Osubstn(c_Lambda_OdB_OVar(A),B,A)=c_Lambda_Oliftn(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 25.69/25.80 ---> New Demodulator: 317 [new_demod,316] c_Lambda_Osubstn(c_Lambda_OdB_OVar(A),B,A)=c_Lambda_Oliftn(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 25.69/25.80 ** KEPT (pick-wt=13): 318 [] c_Lambda_Osubstn(A,B,C)=c_Lambda_Osubst(A,c_Lambda_Oliftn(C,B,c_HOL_Ozero__class_Ozero(tc_nat)),C).
% 25.69/25.80 ** KEPT (pick-wt=13): 319 [] c_List_Ohd(A,B)=c_List_Onth(A,c_HOL_Ozero__class_Ozero(tc_nat),B)|A=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=14): 320 [] c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,c_List_Olist_ONil(C),C).
% 25.69/25.80 ** KEPT (pick-wt=12): 321 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),tc_nat)|A=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=21): 323 [copy,322,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).
% 25.69/25.80 ---> New Demodulator: 324 [new_demod,323] 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).
% 25.69/25.80 ** KEPT (pick-wt=13): 326 [copy,325,flip.1] 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).
% 25.69/25.80 ---> New Demodulator: 327 [new_demod,326] 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).
% 25.69/25.80 ** KEPT (pick-wt=14): 328 [] c_List_Olast(c_List_Olist_OCons(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,327] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 25.69/25.80 ** KEPT (pick-wt=10): 329 [] c_List_Obutlast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_ONil(B).
% 25.69/25.80 ---> New Demodulator: 330 [new_demod,329] c_List_Obutlast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=9): 331 [] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 25.69/25.80 ---> New Demodulator: 332 [new_demod,331] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 25.69/25.80 ** KEPT (pick-wt=17): 333 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=8): 334 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=8): 335 [] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 25.69/25.80 ** KEPT (pick-wt=8): 336 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=15): 337 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)),c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)))).
% 25.69/25.80 ** KEPT (pick-wt=18): 338 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=7): 339 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 25.69/25.80 ** KEPT (pick-wt=15): 340 [] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 25.69/25.80 ---> New Demodulator: 341 [new_demod,340] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 25.69/25.80 ** KEPT (pick-wt=21): 342 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=20): 344 [copy,343,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(A,B,C)),c_Lambda_Osubstn(D,B,C))=c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 25.69/25.80 ---> New Demodulator: 345 [new_demod,344] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(A,B,C)),c_Lambda_Osubstn(D,B,C))=c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 25.69/25.80 ** KEPT (pick-wt=20): 347 [copy,346,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).
% 25.69/25.80 ** KEPT (pick-wt=7): 348 [] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ---> New Demodulator: 349 [new_demod,348] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ** KEPT (pick-wt=7): 350 [] c_List_Orotate1(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ---> New Demodulator: 351 [new_demod,350] c_List_Orotate1(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ** KEPT (pick-wt=5): 352 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 25.69/25.80 ** KEPT (pick-wt=8): 353 [] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 25.69/25.80 ---> New Demodulator: 354 [new_demod,353] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=7): 355 [] c_List_Otl(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ---> New Demodulator: 356 [new_demod,355] c_List_Otl(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ** KEPT (pick-wt=7): 357 [] c_List_Obutlast(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ---> New Demodulator: 358 [new_demod,357] c_List_Obutlast(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,349] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 25.69/25.80 ** KEPT (pick-wt=8): 359 [] c_List_Otl(c_List_Olist_OCons(A,B,C),C)=B.
% 25.69/25.80 ---> New Demodulator: 360 [new_demod,359] c_List_Otl(c_List_Olist_OCons(A,B,C),C)=B.
% 25.69/25.80 ** KEPT (pick-wt=8): 361 [] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 25.69/25.80 ---> New Demodulator: 362 [new_demod,361] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 25.69/25.80 ** KEPT (pick-wt=11): 363 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 25.69/25.80 ** KEPT (pick-wt=9): 364 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=12): 365 [] c_List_Olast(c_List_Oreplicate(A,B,C),C)=B|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=13): 366 [] c_List_Olast(c_List_Orev(A,B),B)=c_List_Ohd(A,B)|A=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=7): 368 [copy,367,flip.1] c_List_Orev(c_List_Orev(A,B),B)=A.
% 25.69/25.80 ---> New Demodulator: 369 [new_demod,368] c_List_Orev(c_List_Orev(A,B),B)=A.
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,369] A=A.
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,369] A=A.
% 25.69/25.80 ** KEPT (pick-wt=11): 370 [] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 25.69/25.80 ---> New Demodulator: 371 [new_demod,370] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 25.69/25.80 ** KEPT (pick-wt=13): 372 [] c_List_Ohd(c_List_Orev(A,B),B)=c_List_Olast(A,B)|A=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=12): 373 [] c_List_Ohd(c_List_Oreplicate(A,B,C),C)=B|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=15): 374 [] c_Lambda_Osubstn(c_Lambda_OdB_OVar(A),B,C)=c_Lambda_OdB_OVar(A)|A=C|c_HOL_Oord__class_Oless(C,A,tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=11): 375 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 25.69/25.80 Following clause subsumed by 375 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 25.69/25.80 Following clause subsumed by 375 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 25.69/25.80 ** KEPT (pick-wt=17): 376 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=11): 377 [] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Obutlast(A,B).
% 25.69/25.80 ---> New Demodulator: 378 [new_demod,377] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Obutlast(A,B).
% 25.69/25.80 ** KEPT (pick-wt=14): 379 [] c_List_Ohd(c_List_Oappend(A,B,C),C)=c_List_Ohd(A,C)|A=c_List_Olist_ONil(C).
% 25.69/25.80 ** KEPT (pick-wt=11): 380 [] c_Lambda_Osubstn(A,B,c_HOL_Ozero__class_Ozero(tc_nat))=c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 25.69/25.80 ---> New Demodulator: 381 [new_demod,380] c_Lambda_Osubstn(A,B,c_HOL_Ozero__class_Ozero(tc_nat))=c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 25.69/25.80 ** KEPT (pick-wt=7): 382 [] c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(A),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 ---> New Demodulator: 383 [new_demod,382] c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(A),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=6): 384 [] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 ---> New Demodulator: 385 [new_demod,384] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=15): 386 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,C)=c_Lambda_OdB_OVar(A)|A=C|c_HOL_Oord__class_Oless(C,A,tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=7): 388 [copy,387,unit_del,131] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 25.69/25.80 ---> New Demodulator: 389 [new_demod,388] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 25.69/25.80 Following clause subsumed by 336 during input processing: 0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_ONil(C).
% 25.69/25.80 ** KEPT (pick-wt=12): 390 [] c_List_Olast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=B.
% 25.69/25.80 ---> New Demodulator: 391 [new_demod,390] c_List_Olast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=B.
% 25.69/25.80 ** KEPT (pick-wt=12): 392 [] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=A.
% 25.69/25.80 ---> New Demodulator: 393 [new_demod,392] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=A.
% 25.69/25.80 ** KEPT (pick-wt=17): 394 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=13): 396 [copy,395,demod,341,327,369] c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),C,B)=c_List_Olist_OCons(A,C,B).
% 25.69/25.80 ** KEPT (pick-wt=15): 397 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=19): 398 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=11): 400 [copy,399,flip.1] 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).
% 25.69/25.80 ---> New Demodulator: 401 [new_demod,400] 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).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,401] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 25.69/25.80 ** KEPT (pick-wt=15): 403 [copy,402,flip.1] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 25.69/25.80 ---> New Demodulator: 404 [new_demod,403] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,404] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,404] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,404] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 25.69/25.80 ** KEPT (pick-wt=35): 405 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=9): 406 [] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ---> New Demodulator: 407 [new_demod,406] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 25.69/25.80 ** KEPT (pick-wt=17): 409 [copy,408,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).
% 25.69/25.80 ---> New Demodulator: 410 [new_demod,409] 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).
% 25.69/25.80 ** KEPT (pick-wt=20): 412 [copy,411,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).
% 25.69/25.80 ---> New Demodulator: 413 [new_demod,412] 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).
% 25.69/25.80 ** KEPT (pick-wt=24): 414 [] 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).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,389] B=B.
% 25.69/25.80 ** KEPT (pick-wt=13): 415 [] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 25.69/25.80 ---> New Demodulator: 416 [new_demod,415] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 25.69/25.80 ** KEPT (pick-wt=9): 417 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 25.69/25.80 ---> New Demodulator: 418 [new_demod,417] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 25.69/25.80 ** KEPT (pick-wt=5): 419 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 25.69/25.80 ** KEPT (pick-wt=7): 421 [copy,420,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 25.69/25.80 ---> New Demodulator: 422 [new_demod,421] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,422] B=B.
% 25.69/25.80 ** KEPT (pick-wt=7): 424 [copy,423,flip.1] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 25.69/25.80 ---> New Demodulator: 425 [new_demod,424] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,422] A=A.
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,425] A=A.
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,418] c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 25.69/25.80 ** KEPT (pick-wt=20): 426 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=15): 428 [copy,427,flip.1] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 25.69/25.80 ---> New Demodulator: 429 [new_demod,428] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,429] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,429] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,429] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,422] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [demod,425] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 25.69/25.80 ** KEPT (pick-wt=21): 430 [] 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).
% 25.69/25.80 ** KEPT (pick-wt=13): 431 [] 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))).
% 25.69/25.80 ** KEPT (pick-wt=18): 432 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,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)),c_Lambda_OdB_OVar(v_i)))).
% 25.69/25.80 ** KEPT (pick-wt=4): 433 [] hBOOL(hAPP(c_InductTermi_OIT,v_s)).
% 25.69/25.80 ** KEPT (pick-wt=9): 434 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,v_s),c_Lambda_OdB_OVar(v_i)))).
% 25.69/25.80 ** KEPT (pick-wt=2): 435 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=2): 436 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=2): 437 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=2): 438 [] class_Nat_Osemiring__char__0(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=2): 439 [] class_Orderings_Opreorder(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=2): 440 [] class_Orderings_Olinorder(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=2): 441 [] class_Orderings_Oorder(tc_nat).
% 25.69/25.80 ** KEPT (pick-wt=2): 442 [] class_Orderings_Opreorder(tc_bool).
% 25.69/25.80 ** KEPT (pick-wt=2): 443 [] class_Orderings_Oorder(tc_bool).
% 25.69/25.80 ** KEPT (pick-wt=2): 444 [] class_Ring__and__Field_Oordered__semidom(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 445 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 446 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 447 [] class_Ring__and__Field_Osemiring__1(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 448 [] class_Nat_Osemiring__char__0(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 449 [] class_Orderings_Opreorder(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 450 [] class_Orderings_Olinorder(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 451 [] class_Orderings_Oorder(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 452 [] class_Int_Oring__char__0(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=2): 453 [] class_Int_Onumber__ring(tc_Int_Oint).
% 25.69/25.80 ** KEPT (pick-wt=7): 454 [] hBOOL(hAPP(hAPP(c_fe_qual(A),B),B)).
% 25.69/25.80 Following clause subsumed by 216 during input processing: 0 [copy,216,flip.1] A=A.
% 25.69/25.80 216 back subsumes 213.
% 25.69/25.80 216 back subsumes 211.
% 25.69/25.80 216 back subsumes 210.
% 25.69/25.80 ** KEPT (pick-wt=22): 455 [copy,217,flip.1] c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist__update(c_List_Oappend(A,c_List_Olist_OCons(E,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),B,D).
% 25.69/25.80 >>>> Starting back demodulation with 219.
% 25.69/25.80 >>>> Starting back demodulation with 221.
% 25.69/25.80 222 back subsumes 7.
% 25.69/25.80 >>>> Starting back demodulation with 224.
% 25.69/25.80 >> back demodulating 3 with 224.
% 25.69/25.80 ** KEPT (pick-wt=18): 456 [copy,226,flip.1] c_List_Olist_OCons(A,c_List_Olist__update(B,C,D,E),E)=c_List_Olist__update(c_List_Olist_OCons(A,B,E),c_Suc(C),D,E).
% 25.69/25.80 >>>> Starting back demodulation with 228.
% 25.69/25.80 ** KEPT (pick-wt=14): 457 [copy,229,flip.1] c_List_Olist_OCons(A,B,C)=c_List_Olist__update(c_List_Olist_OCons(D,B,C),c_HOL_Ozero__class_Ozero(tc_nat),A,C).
% 25.69/25.80 >>>> Starting back demodulation with 231.
% 25.69/25.80 >>>> Starting back demodulation with 233.
% 25.69/25.80 >>>> Starting back demodulation with 236.
% 25.69/25.80 >>>> Starting back demodulation with 238.
% 25.69/25.80 >>>> Starting back demodulation with 241.
% 25.69/25.80 >>>> Starting back demodulation with 244.
% 25.69/25.80 >>>> Starting back demodulation with 246.
% 25.69/25.80 ** KEPT (pick-wt=12): 458 [copy,247,flip.1] c_List_Odrop(A,c_List_Otl(B,C),C)=c_List_Odrop(c_Suc(A),B,C).
% 25.69/25.80 >>>> Starting back demodulation with 249.
% 25.69/25.80 >> back demodulating 232 with 249.
% 25.69/25.80 >>>> Starting back demodulation with 251.
% 25.69/25.80 >>>> Starting back demodulation with 254.
% 25.69/25.80 >>>> Starting back demodulation with 256.
% 25.69/25.80 >>>> Starting back demodulation with 258.
% 25.69/25.80 >>>> Starting back demodulation with 260.
% 25.69/25.80 >>>> Starting back demodulation with 262.
% 25.69/25.80 >>>> Starting back demodulation with 264.
% 25.69/25.80 >>>> Starting back demodulation with 266.
% 25.69/25.80 Following clause subsumed by 271 during input processing: 0 [copy,270,flip.1] c_Suc(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 25.69/25.80 Following clause subsumed by 270 during input processing: 0 [copy,271,flip.1] c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=c_Suc(c_Nat_Osize__class_Osize(B,tc_List_Olist(C))).
% 25.69/25.80 >>>> Starting back demodulation with 275.
% 25.69/25.80 >> back demodulating 62 with 275.
% 25.69/25.80 >>>> Starting back demodulation with 277.
% 25.69/25.80 >>>> Starting back demodulation with 279.
% 25.69/25.80 >>>> Starting back demodulation with 281.
% 25.69/25.80 >>>> Starting back demodulation with 283.
% 25.69/25.80 >>>> Starting back demodulation with 285.
% 25.69/25.80 >>>> Starting back demodulation with 289.
% 25.69/25.80 >>>> Starting back demodulation with 291.
% 25.69/25.80 >>>> Starting back demodulation with 296.
% 25.69/25.80 >> back demodulating 85 with 296.
% 25.69/25.80 >>>> Starting back demodulation with 298.
% 25.69/25.80 >>>> Starting back demodulation with 301.
% 25.69/25.80 >>>> Starting back demodulation with 303.
% 25.69/25.80 >>>> Starting back demodulation with 306.
% 25.69/25.80 >>>> Starting back demodulation with 309.
% 25.69/25.80 >>>> Starting back demodulation with 311.
% 25.69/25.80 >>>> Starting back demodulation with 317.
% 25.69/25.80 ** KEPT (pick-wt=13): 460 [copy,318,flip.1] c_Lambda_Osubst(A,c_Lambda_Oliftn(B,C,c_HOL_Ozero__class_Ozero(tc_nat)),B)=c_Lambda_Osubstn(A,C,B).
% 25.69/25.80 ** KEPT (pick-wt=14): 461 [copy,320,flip.1] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,C,B),B).
% 25.69/25.80 >>>> Starting back demodulation with 324.
% 25.69/25.80 >>>> Starting back demodulation with 327.
% 25.69/25.80 >>>> Starting back demodulation with 330.
% 25.69/25.80 >>>> Starting back demodulation with 332.
% 25.69/25.80 Following clause subsumed by 335 during input processing: 0 [copy,334,flip.1] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 25.69/25.80 Following clause subsumed by 334 during input processing: 0 [copy,335,flip.1] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 25.69/25.80 ** KEPT (pick-wt=8): 462 [copy,336,flip.1] c_List_Olist_ONil(A)=c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 25.69/25.80 >>>> Starting back demodulation with 341.
% 25.69/25.80 Following clause subsumed by 342 during input processing: 0 [copy,342,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).
% 25.69/25.80 >>>> Starting back demodulation with 345.
% 25.69/25.80 >>>> Starting back demodulation with 349.
% 25.69/25.80 >>>> Starting back demodulation with 351.
% 25.69/25.80 >>>> Starting back demodulation with 354.
% 25.69/25.80 >>>> Starting back demodulation with 356.
% 25.69/25.80 >>>> Starting back demodulation with 358.
% 25.69/25.80 >>>> Starting back demodulation with 360.
% 25.69/25.80 >>>> Starting back demodulation with 362.
% 25.69/25.80 Following clause subsumed by 363 during input processing: 0 [copy,363,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).
% 25.69/25.80 >>>> Starting back demodulation with 369.
% 25.69/25.80 >>>> Starting back demodulation with 371.
% 25.69/25.80 >>>> Starting back demodulation with 378.
% 25.69/25.80 >>>> Starting back demodulation with 381.
% 25.69/25.80 >>>> Starting back demodulation with 383.
% 25.69/25.80 >>>> Starting back demodulation with 385.
% 25.69/25.80 >>>> Starting back demodulation with 389.
% 25.69/25.80 >>>> Starting back demodulation with 391.
% 25.69/25.80 >>>> Starting back demodulation with 393.
% 25.69/25.80 ** KEPT (pick-wt=17): 463 [copy,394,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).
% 25.69/25.80 ** KEPT (pick-wt=13): 464 [copy,396,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).
% 25.69/25.80 ** KEPT (pick-wt=15): 465 [copy,397,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).
% 25.69/25.80 ** KEPT (pick-wt=19): 466 [copy,398,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).
% 25.69/25.80 >>>> Starting back demodulation with 401.
% 25.69/25.80 >>>> Starting back demodulation with 404.
% 25.69/25.80 >>>> Starting back demodulation with 407.
% 25.69/25.80 >>>> Starting back demodulation with 410.
% 25.69/25.80 >>>> Starting back demodulation with 413.
% 25.69/25.80 ** KEPT (pick-wt=24): 467 [copy,414,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).
% 25.69/25.80 414 back subsumes 405.
% 25.69/25.80 >>>> Starting back demodulation with 416.
% 25.69/25.80 >>>> Starting back demodulation with 418.
% 25.69/25.80 >> back demodulating 409 with 418.
% 25.69/25.80 >> back demodulating 400 with 418.
% 25.69/25.80 >> back demodulating 182 with 418.
% 25.69/25.80 >>>> Starting back demodulation with 422.
% 25.69/25.80 >> back demodulating 415 with 422.
% 25.69/25.80 >> back demodulating 406 with 422.
% 25.69/25.80 >> back demodulating 308 with 422.
% 25.69/25.80 >>>> Starting back demodulation with 425.
% 25.69/25.80 >> back demodulating 377 with 425.
% 26.62/26.74 >> back demodulating 310 with 425.
% 26.62/26.74 ** KEPT (pick-wt=20): 468 [copy,426,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).
% 26.62/26.74 >>>> Starting back demodulation with 429.
% 26.62/26.74 >> back demodulating 323 with 429.
% 26.62/26.74 ** KEPT (pick-wt=21): 470 [copy,430,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).
% 26.62/26.74 Following clause subsumed by 217 during input processing: 0 [copy,455,flip.1] c_List_Olist__update(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),E,D)=c_List_Oappend(A,c_List_Olist_OCons(E,C,D),D).
% 26.62/26.74 Following clause subsumed by 226 during input processing: 0 [copy,456,flip.1] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_Suc(D),E,C)=c_List_Olist_OCons(A,c_List_Olist__update(B,D,E,C),C).
% 26.62/26.74 Following clause subsumed by 229 during input processing: 0 [copy,457,flip.1] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),D,C)=c_List_Olist_OCons(D,B,C).
% 26.62/26.74 Following clause subsumed by 247 during input processing: 0 [copy,458,flip.1] c_List_Odrop(c_Suc(A),B,C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 26.62/26.74 Following clause subsumed by 318 during input processing: 0 [copy,460,flip.1] c_Lambda_Osubstn(A,B,C)=c_Lambda_Osubst(A,c_Lambda_Oliftn(C,B,c_HOL_Ozero__class_Ozero(tc_nat)),C).
% 26.62/26.74 Following clause subsumed by 320 during input processing: 0 [copy,461,flip.1] c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,c_List_Olist_ONil(C),C).
% 26.62/26.74 Following clause subsumed by 336 during input processing: 0 [copy,462,flip.1] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 26.62/26.74 Following clause subsumed by 394 during input processing: 0 [copy,463,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).
% 26.62/26.74 Following clause subsumed by 396 during input processing: 0 [copy,464,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).
% 26.62/26.74 Following clause subsumed by 397 during input processing: 0 [copy,465,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).
% 26.62/26.74 Following clause subsumed by 398 during input processing: 0 [copy,466,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).
% 26.62/26.74 Following clause subsumed by 414 during input processing: 0 [copy,467,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).
% 26.62/26.74 Following clause subsumed by 426 during input processing: 0 [copy,468,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).
% 26.62/26.74 ** KEPT (pick-wt=21): 471 [copy,469,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).
% 26.62/26.74 Following clause subsumed by 430 during input processing: 0 [copy,470,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).
% 26.62/26.74 Following clause subsumed by 469 during input processing: 0 [copy,471,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).
% 26.62/26.74
% 26.62/26.74 ======= end of input processing =======
% 26.62/26.74
% 26.62/26.74 =========== start of search ===========
% 26.62/26.74
% 26.62/26.74
% 26.62/26.74 Resetting weight limit to 2.
% 26.62/26.74
% 26.62/26.74
% 26.62/26.74 Resetting weight limit to 2.
% 26.62/26.74
% 26.62/26.74 sos_size=152
% 26.62/26.74
% 26.62/26.74 Search stopped because sos empty.
% 26.62/26.74
% 26.62/26.74
% 26.62/26.74 Search stopped because sos empty.
% 26.62/26.74
% 26.62/26.74 ============ end of search ============
% 26.62/26.74
% 26.62/26.74 -------------- statistics -------------
% 26.62/26.74 clauses given 153
% 26.62/26.74 clauses generated 80418
% 26.62/26.74 clauses kept 362
% 26.62/26.74 clauses forward subsumed 102
% 26.62/26.74 clauses back subsumed 5
% 26.62/26.74 Kbytes malloced 9765
% 26.62/26.74
% 26.62/26.74 ----------- times (seconds) -----------
% 26.62/26.74 user CPU time 0.98 (0 hr, 0 min, 0 sec)
% 26.62/26.74 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 26.62/26.74 wall-clock time 26 (0 hr, 0 min, 26 sec)
% 26.62/26.74
% 26.62/26.74 Process 32210 finished Wed Jul 27 09:21:02 2022
% 26.62/26.74 Otter interrupted
% 26.62/26.74 PROOF NOT FOUND
%------------------------------------------------------------------------------