TSTP Solution File: LCL768-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LCL768-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:05:21 EDT 2022

% Result   : Unknown 52.76s 52.87s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL768-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 09:28:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 51.72/51.91  ----- Otter 3.3f, August 2004 -----
% 51.72/51.91  The process was started by sandbox on n024.cluster.edu,
% 51.72/51.91  Wed Jul 27 09:28:40 2022
% 51.72/51.91  The command was "./otter".  The process ID is 16181.
% 51.72/51.91  
% 51.72/51.91  set(prolog_style_variables).
% 51.72/51.91  set(auto).
% 51.72/51.91     dependent: set(auto1).
% 51.72/51.91     dependent: set(process_input).
% 51.72/51.91     dependent: clear(print_kept).
% 51.72/51.91     dependent: clear(print_new_demod).
% 51.72/51.91     dependent: clear(print_back_demod).
% 51.72/51.91     dependent: clear(print_back_sub).
% 51.72/51.91     dependent: set(control_memory).
% 51.72/51.91     dependent: assign(max_mem, 12000).
% 51.72/51.91     dependent: assign(pick_given_ratio, 4).
% 51.72/51.91     dependent: assign(stats_level, 1).
% 51.72/51.91     dependent: assign(max_seconds, 10800).
% 51.72/51.91  clear(print_given).
% 51.72/51.91  
% 51.72/51.91  list(usable).
% 51.72/51.91  0 [] A=A.
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  0 [] c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Onth(c_List_OtakeWhile(V_P,V_xs,T_a),V_j,T_a)=c_List_Onth(V_xs,V_j,T_a)| -c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),tc_nat).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=V_xs.
% 51.72/51.91  0 [] c_List_Otake(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a)=c_List_Odrop(V_m,c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_xs,T_a),T_a).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Onth(c_List_OdropWhile(V_P,V_xs,T_a),V_j,T_a)=c_List_Onth(V_xs,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a))),T_a)| -c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(c_List_OdropWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),tc_nat).
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  0 [] -hBOOL(hAPP(V_P,c_List_Onth(V_xs,c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),T_a)))| -c_HOL_Oord__class_Oless(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a)=c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_xs,T_a).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Odrop(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),V_xs,T_a).
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))),V_n),T_a)=c_List_Onth(V_ys,V_n,T_a).
% 51.72/51.91  0 [] 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))| -c_Lambda_Obeta(V_r,V_s).
% 51.72/51.91  0 [] c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  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)).
% 51.72/51.91  0 [] c_List_Olist_Olist__size(V_fa,c_List_Olist_ONil(T_a),T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] c_List_Olist_Olist__size(V_f,c_List_Olist_ONil(T_a),T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -c_Lambda_Obeta(V_t,V_t_H)| -c_Type_Otyping(V_e,V_t,V_T).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a))=V_n.
% 51.72/51.91  0 [] c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a))).
% 51.72/51.91  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)).
% 51.72/51.91  0 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] c_List_OtakeWhile(V_P,V_xs,T_a)=c_List_Otake(c_Nat_Osize__class_Osize(c_List_OtakeWhile(V_P,V_xs,T_a),tc_List_Olist(T_a)),V_xs,T_a).
% 51.72/51.91  0 [] c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i))| -c_Lambda_Obeta(V_r,V_s).
% 51.72/51.91  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)).
% 51.72/51.91  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))).
% 51.72/51.91  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.
% 51.72/51.91  0 [] c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))| -c_Lambda_Obeta(V_s,V_t).
% 51.72/51.91  0 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t))| -c_Lambda_Obeta(V_s,V_t).
% 51.72/51.91  0 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u))| -c_Lambda_Obeta(V_s,V_t).
% 51.72/51.91  0 [] -c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t).
% 51.72/51.91  0 [] c_Nat_Osize__class_Osize(c_List_Osplice(V_xs,V_ys,T_a),tc_List_Olist(T_a))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a))).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -class_OrderedGroup_Osemigroup__add(T_a)|c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)).
% 51.72/51.91  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=V_m|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] V_x!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)|V_a=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  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).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 51.72/51.91  0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 51.72/51.91  0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 51.72/51.91  0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 51.72/51.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 51.72/51.91  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 51.72/51.91  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 51.72/51.91  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.72/51.91  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a).
% 51.72/51.91  0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.72/51.91  0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_nat).
% 51.72/51.91  0 [] -c_HOL_Oord__class_Oless(V_n,V_n,tc_nat).
% 51.72/51.91  0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 51.72/51.91  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 51.72/51.91  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)| -c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 51.72/51.91  0 [] c_Suc(V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] c_Suc(V_m)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a)=c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a).
% 51.72/51.91  0 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a)=c_List_Olist_ONil(T_a).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 51.72/51.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)| -c_HOL_Oord__class_Oless(V_b,V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 51.72/51.91  0 [] -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat).
% 51.72/51.91  0 [] -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat).
% 51.72/51.91  0 [] c_Suc(V_n)!=V_n.
% 51.72/51.91  0 [] V_n!=c_Suc(V_n).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  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.
% 51.72/51.91  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.
% 51.72/51.91  0 [] c_List_Olist_Olist__size(V_f,V_xs,T_a)=c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(V_f,c_List_Ohd(V_xs,T_a))),c_List_Olist_Olist__size(V_f,c_List_Otl(V_xs,T_a),T_a)))|V_xs=c_List_Olist_ONil(T_a).
% 51.72/51.91  0 [] 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))).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.72/51.91  0 [] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.72/51.91  0 [] c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),tc_Lambda_OdB)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.72/51.91  0 [] c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB1)),c_Lambda_OdB_OdB__size(V_dB2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.72/51.91  0 [] c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_list,tc_List_Olist(T_a))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.72/51.91  0 [] c_List_Olist_Olist__size(V_fa,c_List_Olist_OCons(V_a,V_list,T_a),T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(V_fa,V_a)),c_List_Olist_Olist__size(V_fa,V_list,T_a))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)| -c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m).
% 51.72/51.91  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_z,tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat).
% 51.72/51.91  0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_m).
% 51.72/51.91  0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_nat_H).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n)=c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n))=c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z).
% 51.72/51.91  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)).
% 51.72/51.91  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 51.72/51.91  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)).
% 51.72/51.91  0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 51.72/51.91  0 [] 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(tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat).
% 51.72/51.91  0 [] -c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 51.72/51.91  0 [] -c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 51.72/51.91  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)=V_u.
% 51.72/51.91  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.72/51.91  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat).
% 51.72/51.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)|V_y=V_z.
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)|V_m=V_n.
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)|V_m=V_n.
% 51.72/51.91  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)|V_y=V_z.
% 51.72/51.91  0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 51.72/51.91  0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 51.72/51.91  0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)|V_b=V_c.
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)=V_x.
% 51.72/51.91  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 51.72/51.91  0 [] V_x=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)=V_n.
% 51.72/51.91  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))=V_m.
% 51.72/51.91  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)).
% 51.72/51.91  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 51.72/51.91  0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 51.72/51.91  0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 51.72/51.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 51.72/51.91  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat).
% 51.72/51.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a).
% 51.72/51.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 51.72/51.91  0 [] c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a)=hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)).
% 51.72/51.91  0 [] c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 51.72/51.91  0 [] c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_OdropWhile(V_P,V_xs,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_OdropWhile(V_P,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)| -hBOOL(hAPP(V_P,V_y)).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Osplice(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 51.72/51.91  0 [] c_List_Osplice(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 51.72/51.91  0 [] c_List_OdropWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.72/51.91  0 [] c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.72/51.91  0 [] c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a)=V_a.
% 51.72/51.91  0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 51.72/51.91  0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 51.72/51.91  0 [] c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a)=c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a).
% 51.72/51.91  0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 51.72/51.91  0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 51.72/51.91  0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 51.72/51.91  0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 51.72/51.91  0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Ofilter(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,c_List_Osko__List__Xfilter__False__1__1(V_P,V_xs,T_a))).
% 51.72/51.91  0 [] c_List_Ofilter(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,c_List_Osko__List__Xfilter__empty__conv__1__1(V_P,V_xs,T_a))).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Olist_ONil(T_a).
% 51.72/51.91  0 [] c_List_Olist_ONil(T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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))).
% 51.72/51.91  0 [] c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_OdropWhile(V_P,V_xs,T_a),T_a)=V_xs.
% 51.72/51.91  0 [] c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(V_xs,c_List_OtakeWhile(V_P,V_ys,T_a),T_a)| -hBOOL(hAPP(V_P,c_List_Osko__List__XtakeWhile__append2__1__1(V_P,V_xs,T_a))).
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_x,T_a)=c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a).
% 51.72/51.91  0 [] c_List_OtakeWhile(V_P,V_xs,T_a)=c_List_Ofilter(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,c_List_Osko__List__XtakeWhile__e_q__filter__1__1(V_P,V_xs,T_a))).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -hBOOL(hAPP(V_P,c_List_Ohd(c_List_OdropWhile(V_P,V_xs,T_a),T_a)))|c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Olist_ONil(T_a).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] -hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,c_List_Osko__List__Xfilter__e_q__Cons__iff__1__3(V_P,V_xa,T_a)))|c_List_Ofilter(V_P,c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xb,T_a),T_a).
% 51.72/51.91  0 [] -hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,c_List_Osko__List__XCons__e_q__filter__iff__1__3(V_P,V_xa,T_a)))|c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xb,T_a),T_a)=c_List_Ofilter(V_P,c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a).
% 51.72/51.91  0 [] c_List_OdropWhile(V_P,V_xs,T_a)!=c_List_Olist_OCons(V_y,V_ys,T_a)|V_xs=c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a).
% 51.72/51.91  0 [] V_xs!=c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)|c_List_OdropWhile(V_P,V_xs,T_a)=c_List_Olist_OCons(V_y,V_ys,T_a)|hBOOL(hAPP(V_P,V_y)).
% 51.72/51.91  0 [] c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b)=c_List_Ofoldr(c_COMBC(V_f,T_a,T_b,T_a),c_List_Orev(V_xs,T_b),V_a,T_b,T_a).
% 51.72/51.91  0 [] c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)=c_List_Ofoldl(c_COMBC(V_f,T_b,T_a,T_a),V_a,c_List_Orev(V_xs,T_b),T_a,T_b).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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.
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,V_x)).
% 51.72/51.91  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).
% 51.72/51.91  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).
% 51.72/51.91  0 [] c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=V_x.
% 51.72/51.91  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).
% 51.72/51.91  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(V_A,V_P),v_sko__List__Xlistsp__Xinducts__2(V_A,V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(V_A,V_x,t_a)).
% 51.72/51.91  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(V_A,V_P),v_sko__List__Xlistsp__Xinduct__2(V_A,V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(V_A,V_x,t_a)).
% 51.72/51.91  0 [] V_a=c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(V_A,V_a),v_sko__List__Xlistsp__Xcases__2(V_A,V_a),t_a)|V_a=c_List_Olist_ONil(t_a)| -hBOOL(c_List_Olistsp(V_A,V_a,t_a)).
% 51.72/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k)=V_u.
% 51.82/51.91  0 [] c_List_Ofilter(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a)=c_List_Oappend(c_List_Ofilter(V_P,V_xs,T_a),c_List_Ofilter(V_P,V_ys,T_a),T_a).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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.
% 51.82/51.91  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)).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Orev(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Orotate1(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Orotate1(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] -c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a).
% 51.82/51.91  0 [] -c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a).
% 51.82/51.91  0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 51.82/51.91  0 [] c_List_Oconcat__map(V_f,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Olist_ONil(T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Otl(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Obutlast(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Olist_ONil(T_a)=c_List_Orev(c_List_Olist_ONil(T_a),T_a).
% 51.82/51.91  0 [] c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_OtakeWhile(V_P,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Olist_OCons(V_x,V_xs,T_a)!=c_List_Ofilter(V_P,V_ys,T_a)|hBOOL(hAPP(V_P,V_x)).
% 51.82/51.91  0 [] c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Ofilter(V_P,V_ys,T_a)!=c_List_Olist_OCons(V_x,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_xs.
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=c_List_Ofilter(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 51.82/51.91  0 [] c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_x.
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_m=V_n.
% 51.82/51.91  0 [] V_xs=c_List_Orev(c_List_Orev(V_xs,T_a),T_a).
% 51.82/51.91  0 [] c_List_Orev(c_List_Orev(V_ys,T_a),T_a)=V_ys.
% 51.82/51.91  0 [] c_List_Orev(c_List_Orev(V_xs,T_a),T_a)=V_xs.
% 51.82/51.91  0 [] c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Ofilter(V_P,c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 51.82/51.91  0 [] c_List_Ofilter(V_P,c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Olist_ONil(T_a)|hBOOL(hAPP(V_P,V_x)).
% 51.82/51.91  0 [] c_List_Orev(V_xs,T_a)!=c_List_Orev(V_ys,T_a)|V_xs=V_ys.
% 51.82/51.91  0 [] c_List_Orev(c_List_Ofilter(V_P,V_xs,T_a),T_a)=c_List_Ofilter(V_P,c_List_Orev(V_xs,T_a),T_a).
% 51.82/51.91  0 [] c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_l,T_a),T_a),T_a)=c_List_OtakeWhile(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 51.82/51.91  0 [] hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))|hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a)))| -hBOOL(hAPP(V_P,V_xa)).
% 51.82/51.91  0 [] c_List_Oconcat__map(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a)=c_List_Oappend(hAPP(V_f,V_x),c_List_Oconcat__map(V_f,V_xs,T_b,T_a),T_a).
% 51.82/51.91  0 [] hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))|hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a)))| -hBOOL(hAPP(V_P,V_xa)).
% 51.82/51.91  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.
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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.
% 51.82/51.91  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.
% 51.82/51.91  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.
% 51.82/51.91  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xinducts__1(V_A,V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(V_A,V_x,t_a)).
% 51.82/51.91  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,v_sko__List__Xlistsp__Xinducts__2(V_A,V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(V_A,V_x,t_a)).
% 51.82/51.91  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xinduct__1(V_A,V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(V_A,V_x,t_a)).
% 51.82/51.91  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,v_sko__List__Xlistsp__Xinduct__2(V_A,V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(V_A,V_x,t_a)).
% 51.82/51.91  0 [] hBOOL(c_List_Olistsp(V_A,v_sko__List__Xlistsp__Xcases__2(V_A,V_a),t_a))|V_a=c_List_Olist_ONil(t_a)| -hBOOL(c_List_Olistsp(V_A,V_a,t_a)).
% 51.82/51.91  0 [] hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xcases__1(V_A,V_a)))|V_a=c_List_Olist_ONil(t_a)| -hBOOL(c_List_Olistsp(V_A,V_a,t_a)).
% 51.82/51.91  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(c_List_Olistsp(V_A,v_sko__List__Xlistsp__Xinducts__2(V_A,V_P),t_a))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(V_A,V_x,t_a)).
% 51.82/51.91  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(c_List_Olistsp(V_A,v_sko__List__Xlistsp__Xinduct__2(V_A,V_P),t_a))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(V_A,V_x,t_a)).
% 51.82/51.91  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).
% 51.82/51.91  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.
% 51.82/51.91  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)).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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.
% 51.82/51.91  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.
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Ofilter(V_P,c_List_Ofilter(V_Q,V_xs,T_a),T_a)=c_List_Ofilter(c_COMBS(c_COMBB(c_and,V_Q,tc_bool,tc_fun(tc_bool,tc_bool),T_a),V_P,T_a,tc_bool,tc_bool),V_xs,T_a).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Olistsp(c_COMBS(c_COMBB(c_and,V_A,tc_bool,tc_fun(tc_bool,tc_bool),t_a),V_B,t_a,tc_bool,tc_bool),v_x,t_a)=hAPP(hAPP(c_and,c_List_Olistsp(V_A,v_x,t_a)),c_List_Olistsp(V_B,v_x,t_a)).
% 51.82/51.91  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)))| -hBOOL(c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB)).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 51.82/51.91  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.
% 51.82/51.91  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.
% 51.82/51.91  0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 51.82/51.91  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.
% 51.82/51.91  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.
% 51.82/51.91  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).
% 51.82/51.91  0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] hBOOL(c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a))| -hBOOL(c_List_Olistsp(V_A,V_ys,T_a))| -hBOOL(c_List_Olistsp(V_A,V_xs,T_a)).
% 51.82/51.91  0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 51.82/51.91  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.
% 51.82/51.91  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.
% 51.82/51.91  0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 51.82/51.91  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 51.82/51.91  0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 51.82/51.91  0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 51.82/51.91  0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 51.82/51.91  0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 51.82/51.91  0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 51.82/51.91  0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 51.82/51.91  0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 51.82/51.91  0 [] hBOOL(c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a)).
% 51.82/51.91  0 [] hBOOL(c_List_Olistsp(V_A,V_ys,T_a))| -hBOOL(c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)).
% 51.82/51.91  0 [] hBOOL(c_List_Olistsp(V_A,V_xs,T_a))| -hBOOL(c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)).
% 51.82/51.91  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 51.82/51.91  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 51.82/51.91  0 [] hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 51.82/51.91  0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 51.82/51.91  0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 51.82/51.91  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).
% 51.82/51.91  0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 51.82/51.91  0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 51.82/51.91  0 [] hBOOL(c_List_Olistsp(c_COMBS(c_COMBB(c_and,c_InductTermi_OIT,tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_COMBB(c_InductTermi_OIT,hAPP(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_Lambda_OdB_OVar(v_i)),tc_Lambda_OdB,tc_bool,tc_Lambda_OdB),tc_Lambda_OdB,tc_bool,tc_bool),v_rs,tc_Lambda_OdB)).
% 51.82/51.91  0 [] -hBOOL(c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(v_rs,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)).
% 51.82/51.91  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 51.82/51.91  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 51.82/51.91  0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 51.82/51.91  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 51.82/51.91  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 51.82/51.91  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 51.82/51.91  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 51.82/51.91  0 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 51.82/51.91  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 51.82/51.91  0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 51.82/51.91  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 51.82/51.91  0 [] class_OrderedGroup_Osemigroup__add(tc_nat).
% 51.82/51.91  0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 51.82/51.91  0 [] class_Orderings_Opreorder(tc_nat).
% 51.82/51.91  0 [] class_Orderings_Olinorder(tc_nat).
% 51.82/51.91  0 [] class_Orderings_Oorder(tc_nat).
% 51.82/51.91  0 [] class_Orderings_Opreorder(tc_bool).
% 51.82/51.91  0 [] class_Orderings_Oorder(tc_bool).
% 51.82/51.91  0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_Ring__and__Field_Oordered__semidom(tc_Int_Oint).
% 51.82/51.91  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Osemigroup__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_OrderedGroup_Omonoid__add(tc_Int_Oint).
% 51.82/51.91  0 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 51.82/51.91  0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 51.82/51.91  0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 51.82/51.91  0 [] class_Orderings_Oorder(tc_Int_Oint).
% 51.82/51.91  0 [] class_Int_Oring__char__0(tc_Int_Oint).
% 51.82/51.91  0 [] class_Int_Onumber__ring(tc_Int_Oint).
% 51.82/51.91  0 [] hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 51.82/51.91  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 51.82/51.91  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 51.82/51.91  0 [] c_fe_qual(V_x,V_x,T_a).
% 51.82/51.91  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 51.82/51.91  end_of_list.
% 51.82/51.91  
% 51.82/51.91  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 51.82/51.91  
% 51.82/51.91  This ia a non-Horn set with equality.  The strategy will be
% 51.82/51.91  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 51.82/51.91  deletion, with positive clauses in sos and nonpositive
% 51.82/51.91  clauses in usable.
% 51.82/51.91  
% 51.82/51.91     dependent: set(knuth_bendix).
% 51.82/51.91     dependent: set(anl_eq).
% 51.82/51.91     dependent: set(para_from).
% 51.82/51.91     dependent: set(para_into).
% 51.82/51.91     dependent: clear(para_from_right).
% 51.82/51.91     dependent: clear(para_into_right).
% 51.82/51.91     dependent: set(para_from_vars).
% 51.82/51.91     dependent: set(eq_units_both_ways).
% 51.82/51.91     dependent: set(dynamic_demod_all).
% 51.82/51.91     dependent: set(dynamic_demod).
% 51.82/51.91     dependent: set(order_eq).
% 51.82/51.91     dependent: set(back_demod).
% 51.82/51.91     dependent: set(lrpo).
% 51.82/51.91     dependent: set(hyper_res).
% 51.82/51.91     dependent: set(unit_deletion).
% 51.82/51.91     dependent: set(factor).
% 51.82/51.91  
% 51.82/51.91  ------------> process usable:
% 51.82/51.91  ** KEPT (pick-wt=22): 1 [] c_List_Onth(c_List_OtakeWhile(A,B,C),D,C)=c_List_Onth(B,D,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),tc_nat).
% 51.82/51.91  ** KEPT (pick-wt=16): 2 [] 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).
% 51.82/51.91  ** KEPT (pick-wt=23): 3 [] 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).
% 51.82/51.91  ** KEPT (pick-wt=20): 4 [] 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).
% 51.82/51.91  ** KEPT (pick-wt=33): 6 [copy,5,flip.1] c_List_Onth(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_Nat_Osize__class_Osize(c_List_OtakeWhile(C,A,D),tc_List_Olist(D))),D)=c_List_Onth(c_List_OdropWhile(C,A,D),B,D)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(c_List_OdropWhile(C,A,D),tc_List_Olist(D)),tc_nat).
% 51.82/51.91  ** KEPT (pick-wt=22): 7 [] 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).
% 51.82/51.91  ** KEPT (pick-wt=17): 8 [] 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.
% 51.82/51.91  ** KEPT (pick-wt=26): 9 [] -hBOOL(hAPP(A,c_List_Onth(B,c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),C)))| -c_HOL_Oord__class_Oless(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),tc_nat).
% 51.82/51.91  ** KEPT (pick-wt=19): 10 [] 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).
% 51.82/51.91  ** KEPT (pick-wt=17): 11 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=21): 13 [copy,12,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.
% 51.82/51.92  ** KEPT (pick-wt=13): 14 [] c_List_Onth(c_List_Oreplicate(A,B,C),D,C)=B| -c_HOL_Oord__class_Oless(D,A,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=26): 16 [copy,15,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).
% 51.82/51.92  ** KEPT (pick-wt=15): 17 [] c_List_Odrop(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Onth(B,A,C)=D.
% 51.82/51.92  ** KEPT (pick-wt=57): 19 [copy,18,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).
% 51.82/51.92  ** KEPT (pick-wt=16): 20 [] 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))| -c_Lambda_Obeta(A,C).
% 51.82/51.92  ** KEPT (pick-wt=11): 21 [] c_Type_Otyping(A,B,C)| -c_Lambda_Obeta(D,B)| -c_Type_Otyping(A,D,C).
% 51.82/51.92  ** KEPT (pick-wt=11): 22 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_List_Olist_ONil(B).
% 51.82/51.92  ** KEPT (pick-wt=12): 23 [] c_Lambda_Obeta(c_Lambda_Osubst(A,B,C),c_Lambda_Osubst(D,B,C))| -c_Lambda_Obeta(A,D).
% 51.82/51.92  ** KEPT (pick-wt=14): 24 [] -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.
% 51.82/51.92  ** KEPT (pick-wt=8): 25 [] c_Lambda_Obeta(c_Lambda_OdB_OAbs(A),c_Lambda_OdB_OAbs(B))| -c_Lambda_Obeta(A,B).
% 51.82/51.92  ** KEPT (pick-wt=14): 26 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),hAPP(hAPP(c_Lambda_OdB_OApp,A),C))| -c_Lambda_Obeta(B,C).
% 51.82/51.92  ** KEPT (pick-wt=14): 27 [] c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),hAPP(hAPP(c_Lambda_OdB_OApp,C),B))| -c_Lambda_Obeta(A,C).
% 51.82/51.92  ** KEPT (pick-wt=4): 28 [] -c_Lambda_Obeta(c_Lambda_OdB_OVar(A),B).
% 51.82/51.92  ** KEPT (pick-wt=9): 29 [] -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).
% 51.82/51.92  ** KEPT (pick-wt=27): 30 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=18): 31 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=29): 32 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=27): 34 [copy,33,flip.2] -class_OrderedGroup_Osemigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),C,D,A,A))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A,A).
% 51.82/51.92  ** KEPT (pick-wt=16): 36 [copy,35,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=B|C=c_HOL_Ozero__class_Ozero(A).
% 51.82/51.92  ** KEPT (pick-wt=12): 37 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92    Following clause subsumed by 37 during input processing: 0 [flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=13): 38 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=13): 39 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=15): 40 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 51.82/51.92  ** KEPT (pick-wt=8): 41 [] c_Suc(A)!=c_Suc(B)|A=B.
% 51.82/51.92    Following clause subsumed by 41 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 51.82/51.92  ** KEPT (pick-wt=17): 42 [] -class_OrderedGroup_Oab__semigroup__add(A)|c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),B,C,A,A)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),C,B,A,A).
% 51.82/51.92  ** KEPT (pick-wt=17): 43 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 51.82/51.92  ** KEPT (pick-wt=17): 44 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A).
% 51.82/51.92  ** KEPT (pick-wt=17): 45 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A).
% 51.82/51.92  ** KEPT (pick-wt=17): 46 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 51.82/51.92  ** KEPT (pick-wt=20): 47 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)|B=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.92  ** KEPT (pick-wt=18): 48 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=23): 49 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A),C,A,A))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),B,C,A,A).
% 51.82/51.92  ** KEPT (pick-wt=8): 50 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 51.82/51.92  ** KEPT (pick-wt=12): 51 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=12): 52 [] A=B| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 51.82/51.92    Following clause subsumed by 51 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).
% 51.82/51.92  ** KEPT (pick-wt=4): 53 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 51.82/51.92    Following clause subsumed by 53 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=6): 54 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 51.82/51.92  ** KEPT (pick-wt=6): 55 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 51.82/51.92  ** KEPT (pick-wt=6): 56 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 51.82/51.92  ** KEPT (pick-wt=22): 57 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 51.82/51.92  ** KEPT (pick-wt=13): 58 [] -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.
% 51.82/51.92  ** KEPT (pick-wt=13): 59 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 51.82/51.92    Following clause subsumed by 59 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.
% 51.82/51.92    Following clause subsumed by 59 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).
% 51.82/51.92    Following clause subsumed by 59 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).
% 51.82/51.92  ** KEPT (pick-wt=24): 60 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 51.82/51.92  ** KEPT (pick-wt=22): 61 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D),tc_nat)| -c_HOL_Oord__class_Oless(B,D,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=5): 62 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92    Following clause subsumed by 62 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=13): 63 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=19): 65 [copy,64,flip.2] -class_OrderedGroup_Omonoid__add(A)|c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),B,c_HOL_Ozero__class_Ozero(A),A,A)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A),B,A,A).
% 51.82/51.92    Following clause subsumed by 53 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).
% 51.82/51.92  ** KEPT (pick-wt=20): 66 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 51.82/51.92  ** KEPT (pick-wt=9): 67 [] -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),A,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=9): 68 [] -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),B,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=4): 69 [] c_Suc(A)!=A.
% 51.82/51.92    Following clause subsumed by 69 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 51.82/51.92  ** KEPT (pick-wt=20): 70 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 51.82/51.92  ** KEPT (pick-wt=20): 71 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 51.82/51.92  ** KEPT (pick-wt=20): 72 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A).
% 51.82/51.92  ** KEPT (pick-wt=20): 73 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 51.82/51.92  ** KEPT (pick-wt=20): 74 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 51.82/51.92  ** KEPT (pick-wt=20): 75 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A).
% 51.82/51.92  ** KEPT (pick-wt=18): 76 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=18): 77 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B),tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=18): 78 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=9): 79 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=9): 80 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=20): 81 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|B=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.92  ** KEPT (pick-wt=18): 82 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=10): 83 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 51.82/51.92  ** KEPT (pick-wt=10): 84 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 51.82/51.92  ** KEPT (pick-wt=10): 85 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 51.82/51.92    Following clause subsumed by 85 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 51.82/51.92  ** KEPT (pick-wt=13): 86 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=18): 87 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=18): 88 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=18): 89 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=15): 90 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 51.82/51.92  ** KEPT (pick-wt=21): 91 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D)| -c_HOL_Oord__class_Oless(C,B,tc_nat)|c_HOL_Oord__class_Oless(A,D,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=15): 92 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 51.82/51.92    Following clause subsumed by 90 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 51.82/51.92  ** KEPT (pick-wt=13): 93 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=13): 94 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=13): 95 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),B,tc_nat).
% 51.82/51.92    Following clause subsumed by 93 during input processing: 0 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 51.82/51.92    Following clause subsumed by 94 during input processing: 0 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 51.82/51.92    Following clause subsumed by 62 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92    Following clause subsumed by 62 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=10): 96 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=13): 97 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 51.82/51.92  ** KEPT (pick-wt=14): 98 [] -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).
% 51.82/51.92  ** KEPT (pick-wt=14): 99 [] -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).
% 51.82/51.92  ** KEPT (pick-wt=25): 101 [copy,100,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 51.82/51.92  ** KEPT (pick-wt=25): 102 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 51.82/51.92  ** KEPT (pick-wt=25): 103 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 51.82/51.92  ** KEPT (pick-wt=25): 104 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 51.82/51.92  ** KEPT (pick-wt=25): 105 [] -class_OrderedGroup_Oab__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 51.82/51.92    Following clause subsumed by 101 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 51.82/51.92  ** KEPT (pick-wt=25): 106 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),C).
% 51.82/51.92  ** KEPT (pick-wt=25): 107 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 51.82/51.92    Following clause subsumed by 101 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 51.82/51.92  ** KEPT (pick-wt=20): 108 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|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(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=5): 109 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 51.82/51.92    Following clause subsumed by 109 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=28): 110 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),E)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)=E.
% 51.82/51.92  ** KEPT (pick-wt=19): 111 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)|B=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=19): 112 [] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)|A=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.92  ** KEPT (pick-wt=22): 113 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 51.82/51.92  ** KEPT (pick-wt=23): 115 [copy,114,flip.2] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),C,c_HOL_Ozero__class_Ozero(A),A,A))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),B,C,A,A).
% 51.82/51.92  ** KEPT (pick-wt=15): 116 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=13): 117 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)|c_Suc(A)=B| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=16): 118 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 51.82/51.92  ** KEPT (pick-wt=16): 119 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)|A=C.
% 51.82/51.92    Following clause subsumed by 118 during input processing: 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 51.82/51.92  ** KEPT (pick-wt=20): 120 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 51.82/51.92  ** KEPT (pick-wt=18): 121 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 51.82/51.92  ** KEPT (pick-wt=18): 122 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 51.82/51.92  ** KEPT (pick-wt=18): 123 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C)|B=D.
% 51.82/51.92  ** KEPT (pick-wt=19): 124 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|B=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=19): 125 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|A=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.92  ** KEPT (pick-wt=35): 126 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),E)).
% 51.82/51.92  ** KEPT (pick-wt=9): 127 [] -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=16): 128 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|B=E|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=11): 129 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 51.82/51.92  ** KEPT (pick-wt=11): 130 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 51.82/51.92  ** KEPT (pick-wt=13): 132 [copy,131,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 51.82/51.92  ** KEPT (pick-wt=11): 133 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 51.82/51.92  ** KEPT (pick-wt=11): 134 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 51.82/51.92  ** KEPT (pick-wt=11): 135 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 51.82/51.92  ** KEPT (pick-wt=11): 136 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 51.82/51.92    Following clause subsumed by 129 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 51.82/51.92  ** KEPT (pick-wt=10): 137 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=10): 138 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat).
% 51.82/51.92    Following clause subsumed by 137 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).
% 51.82/51.92    Following clause subsumed by 93 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 51.82/51.92    Following clause subsumed by 94 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=17): 139 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),A).
% 51.82/51.92  ** KEPT (pick-wt=17): 140 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 51.82/51.92  ** KEPT (pick-wt=16): 141 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_OdropWhile(A,C,D)| -hBOOL(hAPP(A,B)).
% 51.82/51.92  ** KEPT (pick-wt=13): 142 [] c_List_OdropWhile(A,B,C)!=c_List_Olist_OCons(D,E,C)| -hBOOL(hAPP(A,D)).
% 51.82/51.92  ** KEPT (pick-wt=8): 143 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 51.82/51.92  ** KEPT (pick-wt=8): 144 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 51.82/51.92  ** KEPT (pick-wt=5): 145 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 51.82/51.92  ** KEPT (pick-wt=5): 146 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 51.82/51.92  ** KEPT (pick-wt=10): 147 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 51.82/51.92  ** KEPT (pick-wt=9): 148 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 51.82/51.92  ** KEPT (pick-wt=13): 149 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=11): 150 [] c_List_Oreplicate(A,B,C)!=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=11): 151 [] c_List_Olist_ONil(A)!=c_List_Oreplicate(B,C,A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=31): 152 [] 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))).
% 51.82/51.92  ** KEPT (pick-wt=22): 153 [] c_List_OtakeWhile(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(B,c_List_OtakeWhile(A,C,D),D)| -hBOOL(hAPP(A,c_List_Osko__List__XtakeWhile__append2__1__1(A,B,D))).
% 51.82/51.92  ** KEPT (pick-wt=12): 154 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,C)=c_Lambda_OdB_OVar(A)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 51.82/51.92  ** KEPT (pick-wt=16): 155 [] -hBOOL(hAPP(A,c_List_Ohd(c_List_OdropWhile(A,B,C),C)))|c_List_OdropWhile(A,B,C)=c_List_Olist_ONil(C).
% 51.82/51.92  ** KEPT (pick-wt=29): 156 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_List_Osko__List__Xfilter__e_q__Cons__iff__1__3(A,C,D)))|c_List_Ofilter(A,c_List_Oappend(C,c_List_Olist_OCons(B,E,D),D),D)=c_List_Olist_OCons(B,c_List_Ofilter(A,E,D),D).
% 51.82/51.92  ** KEPT (pick-wt=29): 157 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_List_Osko__List__XCons__e_q__filter__iff__1__3(A,C,D)))|c_List_Olist_OCons(B,c_List_Ofilter(A,E,D),D)=c_List_Ofilter(A,c_List_Oappend(C,c_List_Olist_OCons(B,E,D),D),D).
% 51.82/51.92  ** KEPT (pick-wt=21): 159 [copy,158,flip.2] c_List_OdropWhile(A,B,C)!=c_List_Olist_OCons(D,E,C)|c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_Olist_OCons(D,E,C),C)=B.
% 51.82/51.92  ** KEPT (pick-wt=25): 161 [copy,160,flip.1] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_Olist_OCons(D,E,C),C)!=B|c_List_OdropWhile(A,B,C)=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 51.82/51.92  ** KEPT (pick-wt=14): 162 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=15): 163 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=23): 164 [] 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).
% 51.82/51.92  ** 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).
% 51.82/51.92  ** KEPT (pick-wt=13): 166 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=26): 168 [copy,167,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).
% 51.82/51.92  ** KEPT (pick-wt=26): 170 [copy,169,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.
% 51.82/51.92  ** KEPT (pick-wt=16): 171 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=16): 172 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=25): 173 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(C,A),v_sko__List__Xlistsp__Xinducts__2(C,A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(C,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=25): 174 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(C,A),v_sko__List__Xlistsp__Xinduct__2(C,A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(C,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=19): 176 [copy,175,flip.1] c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(A,B),v_sko__List__Xlistsp__Xcases__2(A,B),t_a)=B|B=c_List_Olist_ONil(t_a)| -hBOOL(c_List_Olistsp(A,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=28): 178 [copy,177,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).
% 51.82/51.92  ** KEPT (pick-wt=16): 179 [] -c_ListOrder_Ostep1(A,B,C,D)|c_ListOrder_Ostep1(A,c_List_Oappend(B,E,D),c_List_Oappend(C,E,D),D).
% 51.82/51.92  ** KEPT (pick-wt=16): 180 [] c_ListOrder_Ostep1(A,c_List_Oappend(B,C,D),c_List_Oappend(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 51.82/51.92  ** KEPT (pick-wt=16): 181 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=10): 182 [] c_List_Orev(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 51.82/51.92  ** KEPT (pick-wt=10): 183 [] c_List_Orotate1(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 51.82/51.92  ** KEPT (pick-wt=6): 184 [] -c_ListOrder_Ostep1(A,c_List_Olist_ONil(B),C,B).
% 51.82/51.92  ** KEPT (pick-wt=6): 185 [] -c_ListOrder_Ostep1(A,B,c_List_Olist_ONil(C),C).
% 51.82/51.92  ** KEPT (pick-wt=10): 186 [] c_List_Olist_ONil(A)!=c_List_Orev(B,A)|B=c_List_Olist_ONil(A).
% 51.82/51.92  ** KEPT (pick-wt=19): 187 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_OtakeWhile(A,C,D),D)| -hBOOL(hAPP(A,B)).
% 51.82/51.92  ** KEPT (pick-wt=20): 188 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=13): 189 [] c_List_Olist_OCons(A,B,C)!=c_List_Ofilter(D,E,C)|hBOOL(hAPP(D,A)).
% 51.82/51.92  ** KEPT (pick-wt=19): 191 [copy,190,flip.1] c_List_Olist_OCons(A,c_List_Ofilter(B,C,D),D)=c_List_Ofilter(B,c_List_Olist_OCons(A,C,D),D)| -hBOOL(hAPP(B,A)).
% 51.82/51.92  ** KEPT (pick-wt=17): 192 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Olist_OCons(B,D,F),c_List_Olist_OCons(A,C,F),F).
% 51.82/51.92  ** KEPT (pick-wt=17): 193 [] -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).
% 51.82/51.92  ** KEPT (pick-wt=13): 194 [] c_List_Ofilter(A,B,C)!=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 51.82/51.92  ** KEPT (pick-wt=19): 195 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=22): 196 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=16): 197 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=12): 198 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|A=D.
% 51.82/51.92  ** KEPT (pick-wt=16): 199 [] c_List_Ofilter(A,c_List_Oreplicate(B,C,D),D)=c_List_Oreplicate(B,C,D)| -hBOOL(hAPP(A,C)).
% 51.82/51.92  ** KEPT (pick-wt=10): 200 [] c_List_Orev(A,B)!=c_List_Orev(C,B)|A=C.
% 51.82/51.92  ** KEPT (pick-wt=24): 201 [] hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(A,c_List_Oappend(B,c_List_Olist_OCons(C,D,E),E),E)))|hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(A,B,E)))| -hBOOL(hAPP(A,C)).
% 51.82/51.92  ** KEPT (pick-wt=24): 202 [] hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(A,c_List_Oappend(B,c_List_Olist_OCons(C,D,E),E),E)))|hBOOL(hAPP(A,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(A,D,E)))| -hBOOL(hAPP(A,C)).
% 51.82/51.92  ** KEPT (pick-wt=26): 203 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=26): 204 [] 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).
% 51.82/51.92  ** KEPT (pick-wt=18): 205 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=18): 206 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=13): 207 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=20): 208 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,v_sko__List__Xlistsp__Xinducts__1(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(C,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=20): 209 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,v_sko__List__Xlistsp__Xinducts__2(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(C,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=20): 210 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,v_sko__List__Xlistsp__Xinduct__1(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(C,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=20): 211 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,v_sko__List__Xlistsp__Xinduct__2(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(C,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=16): 212 [] hBOOL(c_List_Olistsp(A,v_sko__List__Xlistsp__Xcases__2(A,B),t_a))|B=c_List_Olist_ONil(t_a)| -hBOOL(c_List_Olistsp(A,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=15): 213 [] hBOOL(hAPP(A,v_sko__List__Xlistsp__Xcases__1(A,B)))|B=c_List_Olist_ONil(t_a)| -hBOOL(c_List_Olistsp(A,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=21): 214 [] hBOOL(hAPP(A,B))|hBOOL(c_List_Olistsp(C,v_sko__List__Xlistsp__Xinducts__2(C,A),t_a))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(C,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=21): 215 [] hBOOL(hAPP(A,B))|hBOOL(c_List_Olistsp(C,v_sko__List__Xlistsp__Xinduct__2(C,A),t_a))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -hBOOL(c_List_Olistsp(C,B,t_a)).
% 51.82/51.92  ** KEPT (pick-wt=20): 216 [] 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.
% 51.82/51.92  ** KEPT (pick-wt=12): 217 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(A,c_Lambda_OdB_OVar(B),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 51.82/51.92  ** KEPT (pick-wt=30): 219 [copy,218,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).
% 51.82/51.92  ** KEPT (pick-wt=24): 221 [copy,220,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).
% 51.82/51.92  ** KEPT (pick-wt=24): 223 [copy,222,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).
% 51.82/51.93  ** KEPT (pick-wt=25): 224 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=28): 225 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=24): 226 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=24): 227 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=30): 228 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=20): 229 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=27): 230 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=13): 231 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=15): 232 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(c_List_Olistsp(c_InductTermi_OIT,B,tc_Lambda_OdB)).
% 51.82/51.93  ** KEPT (pick-wt=35): 234 [copy,233,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).
% 51.82/51.93  ** KEPT (pick-wt=20): 235 [] 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.
% 51.82/51.93  ** KEPT (pick-wt=20): 236 [] 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.
% 51.82/51.93  ** KEPT (pick-wt=8): 237 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 51.82/51.93  ** KEPT (pick-wt=12): 238 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 51.82/51.93  ** KEPT (pick-wt=12): 239 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 51.82/51.93  ** KEPT (pick-wt=10): 241 [copy,240,flip.1] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 51.82/51.93    Following clause subsumed by 241 during input processing: 0 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 51.82/51.93  ** KEPT (pick-wt=10): 243 [copy,242,flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 51.82/51.93    Following clause subsumed by 243 during input processing: 0 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 51.82/51.93  ** KEPT (pick-wt=18): 244 [] hBOOL(c_List_Olistsp(A,c_List_Oappend(B,C,D),D))| -hBOOL(c_List_Olistsp(A,C,D))| -hBOOL(c_List_Olistsp(A,B,D)).
% 51.82/51.93  ** KEPT (pick-wt=7): 245 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 51.82/51.93  ** KEPT (pick-wt=14): 246 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 51.82/51.93  ** KEPT (pick-wt=14): 247 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 51.82/51.93  ** KEPT (pick-wt=8): 248 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 51.82/51.93  ** KEPT (pick-wt=11): 249 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 51.82/51.93  ** KEPT (pick-wt=11): 250 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 51.82/51.93  ** KEPT (pick-wt=11): 251 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 51.82/51.93  ** KEPT (pick-wt=11): 252 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 51.82/51.93  ** KEPT (pick-wt=12): 253 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 51.82/51.93  ** KEPT (pick-wt=12): 254 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 51.82/51.93  ** KEPT (pick-wt=13): 255 [] hBOOL(c_List_Olistsp(A,B,C))| -hBOOL(c_List_Olistsp(A,c_List_Oappend(D,B,C),C)).
% 51.82/51.93  ** KEPT (pick-wt=13): 256 [] hBOOL(c_List_Olistsp(A,B,C))| -hBOOL(c_List_Olistsp(A,c_List_Oappend(B,D,C),C)).
% 51.82/51.93  ** KEPT (pick-wt=7): 257 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 51.82/51.93    Following clause subsumed by 257 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 51.82/51.93  ** KEPT (pick-wt=6): 258 [] c_List_Olist_OCons(A,B,C)!=B.
% 51.82/51.93    Following clause subsumed by 258 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 51.82/51.93  ** KEPT (pick-wt=8): 259 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 51.82/51.93  ** KEPT (pick-wt=13): 260 [] -hBOOL(c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(v_rs,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)).
% 51.82/51.93  ** KEPT (pick-wt=6): 261 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 51.82/51.93  ** KEPT (pick-wt=6): 262 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 51.82/51.93  ** KEPT (pick-wt=7): 263 [] A=B| -c_fe_qual(A,B,C).
% 51.82/51.93    Following clause subsumed by 144 during input processing: 0 [copy,143,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 51.82/51.93    Following clause subsumed by 143 during input processing: 0 [copy,144,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 51.82/51.93    Following clause subsumed by 146 during input processing: 0 [copy,145,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 51.82/51.93    Following clause subsumed by 145 during input processing: 0 [copy,146,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 51.82/51.93  ** KEPT (pick-wt=14): 278 [copy,162,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).
% 51.82/51.93  ** KEPT (pick-wt=15): 279 [copy,163,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).
% 51.82/51.93    Following clause subsumed by 257 during input processing: 0 [copy,245,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 51.82/51.93    Following clause subsumed by 259 during input processing: 0 [copy,248,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 51.82/51.93    Following clause subsumed by 245 during input processing: 0 [copy,257,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 51.82/51.93    Following clause subsumed by 248 during input processing: 0 [copy,259,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 51.82/51.93    Following clause subsumed by 162 during input processing: 0 [copy,278,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).
% 51.82/51.93    Following clause subsumed by 163 during input processing: 0 [copy,279,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).
% 51.82/51.93  
% 51.82/51.93  ------------> process sos:
% 51.82/51.93  ** KEPT (pick-wt=3): 288 [] A=A.
% 51.82/51.93  ** KEPT (pick-wt=13): 289 [] c_List_Ohd(A,B)=c_List_Onth(A,c_HOL_Ozero__class_Ozero(tc_nat),B)|A=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=15): 290 [] 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.
% 51.82/51.93  ---> New Demodulator: 291 [new_demod,290] 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.
% 51.82/51.93  ** KEPT (pick-wt=8): 292 [] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ---> New Demodulator: 293 [new_demod,292] c_List_Odrop(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=12): 294 [] c_List_Odrop(c_Suc(A),B,C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 51.82/51.93  ** KEPT (pick-wt=13): 295 [] c_List_Obutlast(c_List_Odrop(A,B,C),C)=c_List_Odrop(A,c_List_Obutlast(B,C),C).
% 51.82/51.93  ---> New Demodulator: 296 [new_demod,295] c_List_Obutlast(c_List_Odrop(A,B,C),C)=c_List_Odrop(A,c_List_Obutlast(B,C),C).
% 51.82/51.93  ** KEPT (pick-wt=12): 297 [] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 51.82/51.93  ---> New Demodulator: 298 [new_demod,297] c_List_Oappend(c_List_Otake(A,B,C),c_List_Odrop(A,B,C),C)=B.
% 51.82/51.93  ** KEPT (pick-wt=12): 300 [copy,299,flip.1] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 51.82/51.93  ---> New Demodulator: 301 [new_demod,300] c_List_Odrop(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=C.
% 51.82/51.93  ** KEPT (pick-wt=13): 302 [] c_List_Otl(c_List_Odrop(A,B,C),C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 51.82/51.93  ---> New Demodulator: 303 [new_demod,302] c_List_Otl(c_List_Odrop(A,B,C),C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,296] c_List_Odrop(A,c_List_Obutlast(B,C),C)=c_List_Odrop(A,c_List_Obutlast(B,C),C).
% 51.82/51.93  ** KEPT (pick-wt=13): 304 [] c_List_Odrop(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(A,C,D).
% 51.82/51.93  ---> New Demodulator: 305 [new_demod,304] c_List_Odrop(c_Suc(A),c_List_Olist_OCons(B,C,D),D)=c_List_Odrop(A,C,D).
% 51.82/51.93  ** KEPT (pick-wt=7): 306 [] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 51.82/51.93  ---> New Demodulator: 307 [new_demod,306] c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 51.82/51.93  ** KEPT (pick-wt=20): 309 [copy,308,flip.1] c_List_Odrop(A,c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),C,D),D)=c_List_Otake(B,c_List_Odrop(A,C,D),D).
% 51.82/51.93  ---> New Demodulator: 310 [new_demod,309] c_List_Odrop(A,c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),C,D),D)=c_List_Otake(B,c_List_Odrop(A,C,D),D).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,307] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,303] c_List_Odrop(A,c_List_Otl(B,C),C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 51.82/51.93  ** KEPT (pick-wt=10): 311 [] c_List_Onth(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),C)=A.
% 51.82/51.93  ---> New Demodulator: 312 [new_demod,311] c_List_Onth(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),C)=A.
% 51.82/51.93  ** KEPT (pick-wt=17): 314 [copy,313,flip.1] c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Odrop(A,c_List_Odrop(B,C,D),D).
% 51.82/51.93  ---> New Demodulator: 315 [new_demod,314] c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Odrop(A,c_List_Odrop(B,C,D),D).
% 51.82/51.93  ** KEPT (pick-wt=13): 316 [] c_List_Onth(c_List_Olist_OCons(A,B,C),c_Suc(D),C)=c_List_Onth(B,D,C).
% 51.82/51.93  ---> New Demodulator: 317 [new_demod,316] c_List_Onth(c_List_Olist_OCons(A,B,C),c_Suc(D),C)=c_List_Onth(B,D,C).
% 51.82/51.93  ** KEPT (pick-wt=15): 319 [copy,318,flip.1] c_List_Odrop(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),B,C)=c_List_OdropWhile(A,B,C).
% 51.82/51.93  ---> New Demodulator: 320 [new_demod,319] c_List_Odrop(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),B,C)=c_List_OdropWhile(A,B,C).
% 51.82/51.93  ** KEPT (pick-wt=20): 321 [] c_List_Onth(c_List_Oappend(A,B,C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(C))),D),C)=c_List_Onth(B,D,C).
% 51.82/51.93  ---> New Demodulator: 322 [new_demod,321] c_List_Onth(c_List_Oappend(A,B,C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(C))),D),C)=c_List_Onth(B,D,C).
% 51.82/51.93  ** KEPT (pick-wt=7): 323 [] c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(A),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ---> New Demodulator: 324 [new_demod,323] c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(A),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=11): 325 [] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 51.82/51.93  ---> New Demodulator: 326 [new_demod,325] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 51.82/51.93  ** KEPT (pick-wt=8): 327 [] c_List_Olist_Olist__size(A,c_List_Olist_ONil(B),B)=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ---> New Demodulator: 328 [new_demod,327] c_List_Olist_Olist__size(A,c_List_Olist_ONil(B),B)=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,328] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=9): 329 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 51.82/51.93  ---> New Demodulator: 330 [new_demod,329] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 51.82/51.93  ** KEPT (pick-wt=20): 332 [copy,331,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B))),c_Nat_Osize__class_Osize(C,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Oappend(A,C,B),tc_List_Olist(B)).
% 51.82/51.93  ---> New Demodulator: 333 [new_demod,332] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B))),c_Nat_Osize__class_Osize(C,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Oappend(A,C,B),tc_List_Olist(B)).
% 51.82/51.93  ** KEPT (pick-wt=11): 334 [] c_Nat_Osize__class_Osize(c_List_Orotate1(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 51.82/51.93  ---> New Demodulator: 335 [new_demod,334] c_Nat_Osize__class_Osize(c_List_Orotate1(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 51.82/51.93  ** KEPT (pick-wt=8): 336 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ---> New Demodulator: 337 [new_demod,336] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=12): 339 [copy,338,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 51.82/51.93  ---> New Demodulator: 340 [new_demod,339] c_List_Otake(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)),c_List_Oappend(A,C,B),B)=A.
% 51.82/51.93  ** KEPT (pick-wt=6): 341 [] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ---> New Demodulator: 342 [new_demod,341] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=15): 344 [copy,343,flip.1] c_List_Otake(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),B,C)=c_List_OtakeWhile(A,B,C).
% 51.82/51.93  ---> New Demodulator: 345 [new_demod,344] c_List_Otake(c_Nat_Osize__class_Osize(c_List_OtakeWhile(A,B,C),tc_List_Olist(C)),B,C)=c_List_OtakeWhile(A,B,C).
% 51.82/51.93  ** KEPT (pick-wt=13): 346 [] 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)).
% 51.82/51.93  ** KEPT (pick-wt=13): 347 [] 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))).
% 51.82/51.93  ** KEPT (pick-wt=15): 349 [copy,348,demod,333] c_Nat_Osize__class_Osize(c_List_Osplice(A,B,C),tc_List_Olist(C))=c_Nat_Osize__class_Osize(c_List_Oappend(A,B,C),tc_List_Olist(C)).
% 51.82/51.93  ---> New Demodulator: 350 [new_demod,349] c_Nat_Osize__class_Osize(c_List_Osplice(A,B,C),tc_List_Olist(C))=c_Nat_Osize__class_Osize(c_List_Oappend(A,B,C),tc_List_Olist(C)).
% 51.82/51.93  ** KEPT (pick-wt=12): 351 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=16): 353 [copy,352,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).
% 51.82/51.93  ** KEPT (pick-wt=16): 354 [] 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).
% 51.82/51.93  ---> New Demodulator: 355 [new_demod,354] 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).
% 51.82/51.93  ** KEPT (pick-wt=7): 356 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=14): 358 [copy,357,flip.1] c_List_Otl(c_List_Otake(c_Suc(A),B,C),C)=c_List_Otake(A,c_List_Otl(B,C),C).
% 51.82/51.93  ---> New Demodulator: 359 [new_demod,358] c_List_Otl(c_List_Otake(c_Suc(A),B,C),C)=c_List_Otake(A,c_List_Otl(B,C),C).
% 51.82/51.93  ** KEPT (pick-wt=13): 361 [copy,360,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.93  ---> New Demodulator: 362 [new_demod,361] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.93  ** KEPT (pick-wt=11): 363 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 51.82/51.93    Following clause subsumed by 363 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).
% 51.82/51.93    Following clause subsumed by 363 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 51.82/51.93  ** KEPT (pick-wt=5): 364 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 51.82/51.93    Following clause subsumed by 364 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=8): 365 [] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=9): 366 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=13): 367 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.93  ---> New Demodulator: 368 [new_demod,367] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.93  ** KEPT (pick-wt=13): 369 [] c_List_Osplice(c_List_Olist_OCons(A,B,C),c_List_Olist_ONil(C),C)=c_List_Olist_OCons(A,B,C).
% 51.82/51.93  ---> New Demodulator: 370 [new_demod,369] c_List_Osplice(c_List_Olist_OCons(A,B,C),c_List_Olist_ONil(C),C)=c_List_Olist_OCons(A,B,C).
% 51.82/51.93  ** KEPT (pick-wt=25): 372 [copy,371,flip.1] c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(A,c_List_Ohd(B,C))),c_List_Olist_Olist__size(A,c_List_Otl(B,C),C)))=c_List_Olist_Olist__size(A,B,C)|B=c_List_Olist_ONil(C).
% 51.82/51.93  ** KEPT (pick-wt=12): 373 [] 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))).
% 51.82/51.93  ** KEPT (pick-wt=15): 374 [] c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(A),tc_Lambda_OdB)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.82/51.93  ** KEPT (pick-wt=13): 375 [] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(A))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.82/51.93  ** KEPT (pick-wt=25): 377 [copy,376,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(B,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),tc_Lambda_OdB).
% 51.82/51.93  ---> New Demodulator: 378 [new_demod,377] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(B,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,A),B),tc_Lambda_OdB).
% 51.82/51.93  ** KEPT (pick-wt=22): 379 [] c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,A),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),c_Lambda_OdB_OdB__size(B))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.82/51.93  ** KEPT (pick-wt=19): 380 [] c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(B,tc_List_Olist(C))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.82/51.93  ** KEPT (pick-wt=26): 382 [copy,381,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(A,B)),c_List_Olist_Olist__size(A,C,D))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_List_Olist_Olist__size(A,c_List_Olist_OCons(B,C,D),D).
% 51.82/51.93  ---> New Demodulator: 383 [new_demod,382] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(A,B)),c_List_Olist_Olist__size(A,C,D))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_List_Olist_Olist__size(A,c_List_Olist_OCons(B,C,D),D).
% 51.82/51.93  ** KEPT (pick-wt=13): 384 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 51.82/51.93  ** KEPT (pick-wt=10): 385 [] c_HOL_Oord__class_Oless(A,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=10): 386 [] c_HOL_Oord__class_Oless(A,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A)),tc_nat).
% 51.82/51.93    Following clause subsumed by 385 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=15): 388 [copy,387,flip.1] c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B).
% 51.82/51.93  ---> New Demodulator: 389 [new_demod,388] c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B).
% 51.82/51.93  ** KEPT (pick-wt=15): 391 [copy,390,demod,389] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,362] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.93  ** KEPT (pick-wt=11): 392 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ---> New Demodulator: 393 [new_demod,392] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=23): 394 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 51.82/51.93  ** KEPT (pick-wt=23): 395 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 51.82/51.93  ---> New Demodulator: 396 [new_demod,395] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,368] c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 51.82/51.93  ** KEPT (pick-wt=15): 397 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B)).
% 51.82/51.93  ** KEPT (pick-wt=6): 398 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 51.82/51.93    Following clause subsumed by 398 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=11): 399 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 51.82/51.93    Following clause subsumed by 364 during input processing: 0 [unit_del,53] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=9): 400 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=9): 402 [copy,401,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=A.
% 51.82/51.93  ---> New Demodulator: 403 [new_demod,402] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=A.
% 51.82/51.93  ** KEPT (pick-wt=9): 404 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=A.
% 51.82/51.93  ---> New Demodulator: 405 [new_demod,404] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=A.
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,403] A=A.
% 51.82/51.93  ** KEPT (pick-wt=20): 407 [copy,406,flip.1] hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 51.82/51.93  ---> New Demodulator: 408 [new_demod,407] hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 51.82/51.93  ** KEPT (pick-wt=16): 409 [] c_List_OdropWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,C,D)|hBOOL(hAPP(A,B)).
% 51.82/51.93  ** KEPT (pick-wt=21): 410 [] 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).
% 51.82/51.93  ---> New Demodulator: 411 [new_demod,410] 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).
% 51.82/51.93    Following clause subsumed by 365 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).
% 51.82/51.93  ** KEPT (pick-wt=7): 412 [] c_List_Osplice(A,c_List_Olist_ONil(B),B)=A.
% 51.82/51.93  ---> New Demodulator: 413 [new_demod,412] c_List_Osplice(A,c_List_Olist_ONil(B),B)=A.
% 51.82/51.93  ** KEPT (pick-wt=7): 414 [] c_List_Osplice(c_List_Olist_ONil(A),B,A)=B.
% 51.82/51.93  ---> New Demodulator: 415 [new_demod,414] c_List_Osplice(c_List_Olist_ONil(A),B,A)=B.
% 51.82/51.93  ** KEPT (pick-wt=8): 416 [] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ---> New Demodulator: 417 [new_demod,416] c_List_OdropWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=8): 418 [] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ---> New Demodulator: 419 [new_demod,418] c_List_Otake(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=9): 420 [] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 51.82/51.93  ---> New Demodulator: 421 [new_demod,420] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 51.82/51.93  ** KEPT (pick-wt=21): 422 [] c_List_Ofoldr(A,c_List_Oappend(B,C,D),E,D,F)=c_List_Ofoldr(A,B,c_List_Ofoldr(A,C,E,D,F),D,F).
% 51.82/51.93  ---> New Demodulator: 423 [new_demod,422] c_List_Ofoldr(A,c_List_Oappend(B,C,D),E,D,F)=c_List_Ofoldr(A,B,c_List_Ofoldr(A,C,E,D,F),D,F).
% 51.82/51.93  ** KEPT (pick-wt=7): 424 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 51.82/51.93  ** KEPT (pick-wt=14): 425 [] c_List_Ofilter(A,B,C)=c_List_Olist_ONil(C)|hBOOL(hAPP(A,c_List_Osko__List__Xfilter__False__1__1(A,B,C))).
% 51.82/51.93  ** KEPT (pick-wt=14): 426 [] c_List_Ofilter(A,B,C)=c_List_Olist_ONil(C)|hBOOL(hAPP(A,c_List_Osko__List__Xfilter__empty__conv__1__1(A,B,C))).
% 51.82/51.93  ** KEPT (pick-wt=13): 427 [] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 51.82/51.93  ---> New Demodulator: 428 [new_demod,427] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 51.82/51.93  ** KEPT (pick-wt=8): 429 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=8): 430 [] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 51.82/51.93  ** KEPT (pick-wt=12): 431 [] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_OdropWhile(A,B,C),C)=B.
% 51.82/51.93  ---> New Demodulator: 432 [new_demod,431] c_List_Oappend(c_List_OtakeWhile(A,B,C),c_List_OdropWhile(A,B,C),C)=B.
% 51.82/51.93  ** KEPT (pick-wt=7): 434 [copy,433,unit_del,53] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 51.82/51.93  ---> New Demodulator: 435 [new_demod,434] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 51.82/51.93  ** KEPT (pick-wt=15): 436 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=20): 437 [] c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Oappend(c_List_Oreplicate(A,C,D),c_List_Oreplicate(B,C,D),D).
% 51.82/51.93  ---> New Demodulator: 438 [new_demod,437] c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,D)=c_List_Oappend(c_List_Oreplicate(A,C,D),c_List_Oreplicate(B,C,D),D).
% 51.82/51.93  ** KEPT (pick-wt=16): 439 [] c_List_OtakeWhile(A,B,C)=c_List_Ofilter(A,B,C)|hBOOL(hAPP(A,c_List_Osko__List__XtakeWhile__e_q__filter__1__1(A,B,C))).
% 51.82/51.93  ** KEPT (pick-wt=21): 440 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=12): 441 [] c_List_Olast(c_List_Oreplicate(A,B,C),C)=B|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=12): 442 [] c_List_Ohd(c_List_Oreplicate(A,B,C),C)=B|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 51.82/51.93  ** KEPT (pick-wt=19): 444 [copy,443,flip.1] c_List_Ofoldr(c_COMBC(A,B,C,B),c_List_Orev(D,C),E,C,B)=c_List_Ofoldl(A,E,D,B,C).
% 51.82/51.93  ---> New Demodulator: 445 [new_demod,444] c_List_Ofoldr(c_COMBC(A,B,C,B),c_List_Orev(D,C),E,C,B)=c_List_Ofoldl(A,E,D,B,C).
% 51.82/51.93  ** KEPT (pick-wt=19): 446 [] c_List_Ofoldr(A,B,C,D,E)=c_List_Ofoldl(c_COMBC(A,D,E,E),C,c_List_Orev(B,D),E,D).
% 51.82/51.93  ** KEPT (pick-wt=11): 447 [] 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).
% 51.82/51.93  ---> New Demodulator: 448 [new_demod,447] 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).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,448] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 51.82/51.93  ** KEPT (pick-wt=26): 449 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=21): 451 [copy,450,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).
% 51.82/51.93  ---> New Demodulator: 452 [new_demod,451] 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).
% 51.82/51.93  ** KEPT (pick-wt=13): 454 [copy,453,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).
% 51.82/51.93  ---> New Demodulator: 455 [new_demod,454] 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).
% 51.82/51.93  ** KEPT (pick-wt=14): 456 [] c_List_Olast(c_List_Olist_OCons(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,455] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 51.82/51.93  ** KEPT (pick-wt=14): 457 [] c_List_OtakeWhile(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,B)).
% 51.82/51.93  ** KEPT (pick-wt=10): 458 [] c_List_Obutlast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ---> New Demodulator: 459 [new_demod,458] c_List_Obutlast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=9): 460 [] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 51.82/51.93  ---> New Demodulator: 461 [new_demod,460] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 51.82/51.93  ** KEPT (pick-wt=17): 462 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=18): 463 [] 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).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,435] B=B.
% 51.82/51.93  ** KEPT (pick-wt=18): 464 [] c_List_Ofilter(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Ofilter(A,B,D),c_List_Ofilter(A,C,D),D).
% 51.82/51.93  ---> New Demodulator: 465 [new_demod,464] c_List_Ofilter(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Ofilter(A,B,D),c_List_Ofilter(A,C,D),D).
% 51.82/51.93  ** KEPT (pick-wt=21): 466 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=15): 467 [] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 51.82/51.93  ---> New Demodulator: 468 [new_demod,467] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 51.82/51.93  ** KEPT (pick-wt=21): 469 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=20): 471 [copy,470,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).
% 51.82/51.93  ---> New Demodulator: 472 [new_demod,471] 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).
% 51.82/51.93  ** KEPT (pick-wt=20): 474 [copy,473,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).
% 51.82/51.93  ** KEPT (pick-wt=7): 475 [] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.93  ---> New Demodulator: 476 [new_demod,475] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.93  ** KEPT (pick-wt=8): 477 [] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ---> New Demodulator: 478 [new_demod,477] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=7): 479 [] c_List_Orotate1(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.93  ---> New Demodulator: 480 [new_demod,479] c_List_Orotate1(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.93  ** KEPT (pick-wt=9): 481 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 51.82/51.93  ---> New Demodulator: 482 [new_demod,481] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 51.82/51.93  ** KEPT (pick-wt=9): 483 [] c_List_Oconcat__map(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 51.82/51.93  ** KEPT (pick-wt=7): 484 [] c_List_Otl(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.93  ---> New Demodulator: 485 [new_demod,484] c_List_Otl(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.93  ** KEPT (pick-wt=8): 486 [] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ---> New Demodulator: 487 [new_demod,486] c_List_OtakeWhile(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=7): 488 [] c_List_Obutlast(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.93  ---> New Demodulator: 489 [new_demod,488] c_List_Obutlast(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,476] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 51.82/51.93  ** KEPT (pick-wt=20): 490 [] 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).
% 51.82/51.93  ** KEPT (pick-wt=8): 491 [] c_List_Otl(c_List_Olist_OCons(A,B,C),C)=B.
% 51.82/51.93  ---> New Demodulator: 492 [new_demod,491] c_List_Otl(c_List_Olist_OCons(A,B,C),C)=B.
% 51.82/51.93  ** KEPT (pick-wt=16): 493 [] c_List_Ofilter(A,c_List_Olist_OCons(B,C,D),D)=c_List_Ofilter(A,C,D)|hBOOL(hAPP(A,B)).
% 51.82/51.93  ** KEPT (pick-wt=8): 494 [] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 51.82/51.93  ---> New Demodulator: 495 [new_demod,494] c_List_Ohd(c_List_Olist_OCons(A,B,C),C)=A.
% 51.82/51.93  ** KEPT (pick-wt=13): 496 [] c_List_Olast(c_List_Orev(A,B),B)=c_List_Ohd(A,B)|A=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=7): 498 [copy,497,flip.1] c_List_Orev(c_List_Orev(A,B),B)=A.
% 51.82/51.93  ---> New Demodulator: 499 [new_demod,498] c_List_Orev(c_List_Orev(A,B),B)=A.
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,499] A=A.
% 51.82/51.93    Following clause subsumed by 288 during input processing: 0 [demod,499] A=A.
% 51.82/51.93  ** KEPT (pick-wt=11): 500 [] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 51.82/51.93  ---> New Demodulator: 501 [new_demod,500] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 51.82/51.93  ** KEPT (pick-wt=13): 502 [] c_List_Ohd(c_List_Orev(A,B),B)=c_List_Olast(A,B)|A=c_List_Olist_ONil(B).
% 51.82/51.93  ** KEPT (pick-wt=14): 503 [] c_List_Ofilter(A,c_List_Oreplicate(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,C)).
% 51.82/51.93  ** KEPT (pick-wt=13): 504 [] c_List_Orev(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Orev(B,C),C).
% 51.82/51.93  ---> New Demodulator: 505 [new_demod,504] c_List_Orev(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Orev(B,C),C).
% 51.82/51.93  ** KEPT (pick-wt=19): 506 [] c_List_OtakeWhile(A,c_List_Oappend(B,c_List_Olist_OCons(C,D,E),E),E)=c_List_OtakeWhile(A,B,E)|hBOOL(hAPP(A,C)).
% 51.82/51.94  ** KEPT (pick-wt=19): 507 [] c_List_Oconcat__map(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Oappend(hAPP(A,B),c_List_Oconcat__map(A,C,D,E),E).
% 51.82/51.94  ** KEPT (pick-wt=17): 508 [] 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).
% 51.82/51.94  ** KEPT (pick-wt=11): 509 [] c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(A),B,A),A)=c_List_Ohd(B,A).
% 51.82/51.94  ---> New Demodulator: 510 [new_demod,509] c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(A),B,A),A)=c_List_Ohd(B,A).
% 51.82/51.94  ** KEPT (pick-wt=11): 511 [] c_List_Olast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Olast(A,B).
% 51.82/51.94  ---> New Demodulator: 512 [new_demod,511] c_List_Olast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Olast(A,B).
% 51.82/51.94  ** KEPT (pick-wt=14): 513 [] c_List_Olast(c_List_Oappend(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 51.82/51.94  ** KEPT (pick-wt=17): 514 [] 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).
% 51.82/51.94  ** KEPT (pick-wt=11): 515 [] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Obutlast(A,B).
% 51.82/51.94  ---> New Demodulator: 516 [new_demod,515] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Obutlast(A,B).
% 51.82/51.94  ** KEPT (pick-wt=14): 517 [] c_List_Ohd(c_List_Oappend(A,B,C),C)=c_List_Ohd(A,C)|A=c_List_Olist_ONil(C).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,482] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 51.82/51.94  ** KEPT (pick-wt=12): 518 [] c_List_Olast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=B.
% 51.82/51.94  ---> New Demodulator: 519 [new_demod,518] c_List_Olast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=B.
% 51.82/51.94  ** KEPT (pick-wt=12): 520 [] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=A.
% 51.82/51.94  ---> New Demodulator: 521 [new_demod,520] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=A.
% 51.82/51.94  ** KEPT (pick-wt=17): 522 [] 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).
% 51.82/51.94  ** KEPT (pick-wt=13): 524 [copy,523,demod,468,455,499] c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),C,B)=c_List_Olist_OCons(A,C,B).
% 51.82/51.94  ** KEPT (pick-wt=15): 525 [] 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).
% 51.82/51.94  ** KEPT (pick-wt=19): 526 [] 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).
% 51.82/51.94  ** KEPT (pick-wt=24): 528 [copy,527,flip.1] c_List_Ofilter(c_COMBS(c_COMBB(c_and,A,tc_bool,tc_fun(tc_bool,tc_bool),B),C,B,tc_bool,tc_bool),D,B)=c_List_Ofilter(C,c_List_Ofilter(A,D,B),B).
% 51.82/51.94  ---> New Demodulator: 529 [new_demod,528] c_List_Ofilter(c_COMBS(c_COMBB(c_and,A,tc_bool,tc_fun(tc_bool,tc_bool),B),C,B,tc_bool,tc_bool),D,B)=c_List_Ofilter(C,c_List_Ofilter(A,D,B),B).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,482] c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 51.82/51.94  ** KEPT (pick-wt=28): 530 [] c_List_Olistsp(c_COMBS(c_COMBB(c_and,A,tc_bool,tc_fun(tc_bool,tc_bool),t_a),B,t_a,tc_bool,tc_bool),v_x,t_a)=hAPP(hAPP(c_and,c_List_Olistsp(A,v_x,t_a)),c_List_Olistsp(B,v_x,t_a)).
% 51.82/51.94  ** KEPT (pick-wt=35): 531 [] 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).
% 51.82/51.94  ** KEPT (pick-wt=24): 532 [] 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).
% 51.82/51.94  ** KEPT (pick-wt=15): 534 [copy,533,flip.1] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 51.82/51.94  ---> New Demodulator: 535 [new_demod,534] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,535] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,535] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,535] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 51.82/51.94  ** KEPT (pick-wt=9): 536 [] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.94  ---> New Demodulator: 537 [new_demod,536] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 51.82/51.94  ** KEPT (pick-wt=13): 538 [] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 51.82/51.94  ---> New Demodulator: 539 [new_demod,538] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_OCons(B,C,A),A)=c_List_Olist_OCons(B,C,A).
% 51.82/51.94  ** KEPT (pick-wt=5): 540 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 51.82/51.94  ** KEPT (pick-wt=7): 542 [copy,541,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 51.82/51.94  ---> New Demodulator: 543 [new_demod,542] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,543] B=B.
% 51.82/51.94  ** KEPT (pick-wt=7): 545 [copy,544,flip.1] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 51.82/51.94  ---> New Demodulator: 546 [new_demod,545] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,543] A=A.
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,546] A=A.
% 51.82/51.94  ** KEPT (pick-wt=6): 547 [] hBOOL(c_List_Olistsp(A,c_List_Olist_ONil(B),B)).
% 51.82/51.94  ** KEPT (pick-wt=14): 548 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 51.82/51.94  ---> New Demodulator: 549 [new_demod,548] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 51.82/51.94  ** KEPT (pick-wt=15): 550 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 51.82/51.94  ** KEPT (pick-wt=16): 551 [] hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 51.82/51.94  ** KEPT (pick-wt=15): 553 [copy,552,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).
% 51.82/51.94  ---> New Demodulator: 554 [new_demod,553] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,554] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,554] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,554] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,543] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,546] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 51.82/51.94  ** KEPT (pick-wt=29): 555 [] hBOOL(c_List_Olistsp(c_COMBS(c_COMBB(c_and,c_InductTermi_OIT,tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_COMBB(c_InductTermi_OIT,hAPP(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_Lambda_OdB_OVar(v_i)),tc_Lambda_OdB,tc_bool,tc_Lambda_OdB),tc_Lambda_OdB,tc_bool,tc_bool),v_rs,tc_Lambda_OdB)).
% 51.82/51.94  ** KEPT (pick-wt=2): 556 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 557 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 558 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 559 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 560 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 561 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 562 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 563 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 564 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 565 [] class_OrderedGroup_Osemigroup__add(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 566 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 567 [] class_Orderings_Opreorder(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 568 [] class_Orderings_Olinorder(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 569 [] class_Orderings_Oorder(tc_nat).
% 51.82/51.94  ** KEPT (pick-wt=2): 570 [] class_Orderings_Opreorder(tc_bool).
% 51.82/51.94  ** KEPT (pick-wt=2): 571 [] class_Orderings_Oorder(tc_bool).
% 51.82/51.94  ** KEPT (pick-wt=2): 572 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 573 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 574 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 575 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 576 [] class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 577 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 578 [] class_Ring__and__Field_Oordered__semidom(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 579 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 580 [] class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 581 [] class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 582 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 583 [] class_OrderedGroup_Osemigroup__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 584 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 585 [] class_OrderedGroup_Omonoid__add(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 586 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 587 [] class_Orderings_Opreorder(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 588 [] class_Orderings_Olinorder(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 589 [] class_Orderings_Oorder(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 590 [] class_Int_Oring__char__0(tc_Int_Oint).
% 51.82/51.94  ** KEPT (pick-wt=2): 591 [] class_Int_Onumber__ring(tc_Int_Oint).
% 51.82/51.94    Following clause subsumed by 551 during input processing: 0 [] hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 51.82/51.94    Following clause subsumed by 550 during input processing: 0 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [demod,549] hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 51.82/51.94  ** KEPT (pick-wt=4): 592 [] c_fe_qual(A,A,B).
% 51.82/51.94    Following clause subsumed by 288 during input processing: 0 [copy,288,flip.1] A=A.
% 51.82/51.94  288 back subsumes 280.
% 51.82/51.94  288 back subsumes 269.
% 51.82/51.94  288 back subsumes 268.
% 51.82/51.94  >>>> Starting back demodulation with 291.
% 51.82/51.94  >>>> Starting back demodulation with 293.
% 51.82/51.94  ** KEPT (pick-wt=12): 593 [copy,294,flip.1] c_List_Odrop(A,c_List_Otl(B,C),C)=c_List_Odrop(c_Suc(A),B,C).
% 51.82/51.94  >>>> Starting back demodulation with 296.
% 51.82/51.94  >>>> Starting back demodulation with 298.
% 51.82/51.94  >>>> Starting back demodulation with 301.
% 51.82/51.94  >>>> Starting back demodulation with 303.
% 51.82/51.94  >>>> Starting back demodulation with 305.
% 51.82/51.94  >>>> Starting back demodulation with 307.
% 51.82/51.94  >>>> Starting back demodulation with 310.
% 51.82/51.94  >>>> Starting back demodulation with 312.
% 51.82/51.94  >>>> Starting back demodulation with 315.
% 51.82/51.94  >>>> Starting back demodulation with 317.
% 51.82/51.94  >>>> Starting back demodulation with 320.
% 51.82/51.94  >>>> Starting back demodulation with 322.
% 51.82/51.94  >>>> Starting back demodulation with 324.
% 51.82/51.94  >>>> Starting back demodulation with 326.
% 51.82/51.94  >>>> Starting back demodulation with 328.
% 51.82/51.94  >>>> Starting back demodulation with 330.
% 51.82/51.94  >>>> Starting back demodulation with 333.
% 51.82/51.94  >>>> Starting back demodulation with 335.
% 51.82/51.94  >>>> Starting back demodulation with 337.
% 51.82/51.94      >> back demodulating 29 with 337.
% 51.82/51.94  >>>> Starting back demodulation with 340.
% 51.82/51.94  >>>> Starting back demodulation with 342.
% 51.82/51.94  >>>> Starting back demodulation with 345.
% 51.82/51.94    Following clause subsumed by 347 during input processing: 0 [copy,346,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))).
% 51.82/51.94    Following clause subsumed by 346 during input processing: 0 [copy,347,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)).
% 51.82/51.94  >>>> Starting back demodulation with 350.
% 51.82/51.94  >>>> Starting back demodulation with 355.
% 51.82/51.94  >>>> Starting back demodulation with 359.
% 51.82/51.94  >>>> Starting back demodulation with 362.
% 51.82/51.94  364 back subsumes 356.
% 51.82/51.94  ** KEPT (pick-wt=8): 594 [copy,365,flip.1] c_List_Olist_ONil(A)=c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 51.82/51.94  >>>> Starting back demodulation with 368.
% 51.82/51.94  >>>> Starting back demodulation with 370.
% 51.82/51.94  ** KEPT (pick-wt=15): 595 [copy,374,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(A),tc_Lambda_OdB).
% 51.82/51.94  ** KEPT (pick-wt=13): 596 [copy,375,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(A)).
% 51.82/51.94  >>>> Starting back demodulation with 378.
% 51.82/51.94  ** KEPT (pick-wt=22): 597 [copy,379,flip.1,demod,396] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(B)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))))=c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,A),B)).
% 51.82/51.94  ** KEPT (pick-wt=19): 598 [copy,380,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 51.82/51.94  >>>> Starting back demodulation with 383.
% 51.82/51.94    Following clause subsumed by 384 during input processing: 0 [copy,384,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 51.82/51.94  >>>> Starting back demodulation with 389.
% 51.82/51.94      >> back demodulating 386 with 389.
% 51.82/51.94      >> back demodulating 385 with 389.
% 51.82/51.94      >> back demodulating 372 with 389.
% 51.82/51.94    Following clause subsumed by 397 during input processing: 0 [copy,391,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B)).
% 51.82/51.94  >>>> Starting back demodulation with 393.
% 51.82/51.94    Following clause subsumed by 394 during input processing: 0 [copy,394,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 51.82/51.94  >>>> Starting back demodulation with 396.
% 51.82/51.94      >> back demodulating 382 with 396.
% 51.82/51.94      >> back demodulating 379 with 396.
% 51.82/51.94      >> back demodulating 377 with 396.
% 51.82/51.94    Following clause subsumed by 391 during input processing: 0 [copy,397,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B).
% 51.82/51.94    Following clause subsumed by 399 during input processing: 0 [copy,399,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).
% 51.82/51.94  >>>> Starting back demodulation with 403.
% 51.82/51.94      >> back demodulating 392 with 403.
% 51.82/51.94      >> back demodulating 361 with 403.
% 51.82/51.94  >>>> Starting back demodulation with 405.
% 51.82/51.94      >> back demodulating 367 with 405.
% 51.82/51.94  >>>> Starting back demodulation with 408.
% 51.82/51.94      >> back demodulating 115 with 408.
% 51.82/51.94  >>>> Starting back demodulation with 411.
% 51.82/51.94  >>>> Starting back demodulation with 413.
% 51.82/51.94      >> back demodulating 369 with 413.
% 51.82/51.94  >>>> Starting back demodulation with 415.
% 51.82/51.94  >>>> Starting back demodulation with 417.
% 51.82/51.94  >>>> Starting back demodulation with 419.
% 51.82/51.94  >>>> Starting back demodulation with 421.
% 51.82/51.94  >>>> Starting back demodulation with 423.
% 51.82/51.94  >>>> Starting back demodulation with 428.
% 51.82/51.94    Following clause subsumed by 430 during input processing: 0 [copy,429,flip.1] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 51.82/51.94    Following clause subsumed by 429 during input processing: 0 [copy,430,flip.1] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 51.82/51.94  >>>> Starting back demodulation with 432.
% 51.82/51.94  >>>> Starting back demodulation with 435.
% 51.82/51.94  >>>> Starting back demodulation with 438.
% 51.82/51.94  >>>> Starting back demodulation with 445.
% 51.82/51.94  ** KEPT (pick-wt=19): 608 [copy,446,flip.1] c_List_Ofoldl(c_COMBC(A,B,C,C),D,c_List_Orev(E,B),C,B)=c_List_Ofoldr(A,E,D,B,C).
% 51.82/51.94  >>>> Starting back demodulation with 448.
% 51.82/51.94  >>>> Starting back demodulation with 452.
% 51.82/51.94  >>>> Starting back demodulation with 455.
% 51.82/51.94  >>>> Starting back demodulation with 459.
% 51.82/51.94  >>>> Starting back demodulation with 461.
% 51.82/51.94  >>>> Starting back demodulation with 465.
% 51.82/51.94      >> back demodulating 157 with 465.
% 51.82/51.94      >> back demodulating 156 with 465.
% 51.82/51.94  ** KEPT (pick-wt=21): 611 [copy,466,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).
% 51.82/51.94  >>>> Starting back demodulation with 468.
% 51.82/51.94    Following clause subsumed by 469 during input processing: 0 [copy,469,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).
% 51.82/51.94  >>>> Starting back demodulation with 472.
% 51.82/51.94  >>>> Starting back demodulation with 476.
% 51.82/51.94  >>>> Starting back demodulation with 478.
% 51.82/51.94  >>>> Starting back demodulation with 480.
% 51.82/51.94  >>>> Starting back demodulation with 482.
% 51.82/51.94      >> back demodulating 447 with 482.
% 51.82/51.94      >> back demodulating 216 with 482.
% 51.82/51.94  ** KEPT (pick-wt=9): 612 [copy,483,flip.1] c_List_Olist_ONil(A)=c_List_Oconcat__map(B,c_List_Olist_ONil(C),C,A).
% 51.82/51.94  >>>> Starting back demodulation with 485.
% 51.82/51.94  >>>> Starting back demodulation with 487.
% 51.82/51.94  >>>> Starting back demodulation with 489.
% 51.82/51.94  ** KEPT (pick-wt=20): 613 [copy,490,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).
% 51.82/51.94  >>>> Starting back demodulation with 492.
% 51.82/51.94  >>>> Starting back demodulation with 495.
% 51.82/51.94  >>>> Starting back demodulation with 499.
% 51.82/51.94  >>>> Starting back demodulation with 501.
% 51.82/51.94  >>>> Starting back demodulation with 505.
% 51.82/51.94  ** KEPT (pick-wt=19): 614 [copy,507,flip.1] c_List_Oappend(hAPP(A,B),c_List_Oconcat__map(A,C,D,E),E)=c_List_Oconcat__map(A,c_List_Olist_OCons(B,C,D),D,E).
% 51.82/51.94  >>>> Starting back demodulation with 510.
% 51.82/51.94  >>>> Starting back demodulation with 512.
% 51.82/51.94  >>>> Starting back demodulation with 516.
% 51.82/51.94  >>>> Starting back demodulation with 519.
% 51.82/51.94  >>>> Starting back demodulation with 521.
% 51.82/51.94  ** KEPT (pick-wt=17): 615 [copy,522,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).
% 51.82/51.94  ** KEPT (pick-wt=13): 616 [copy,524,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).
% 51.82/51.94  ** KEPT (pick-wt=15): 617 [copy,525,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).
% 51.82/51.94  ** KEPT (pick-wt=19): 618 [copy,526,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).
% 51.82/51.94  >>>> Starting back demodulation with 529.
% 51.82/51.94  ** KEPT (pick-wt=28): 619 [copy,530,flip.1] hAPP(hAPP(c_and,c_List_Olistsp(A,v_x,t_a)),c_List_Olistsp(B,v_x,t_a))=c_List_Olistsp(c_COMBS(c_COMBB(c_and,A,tc_bool,tc_fun(tc_bool,tc_bool),t_a),B,t_a,tc_bool,tc_bool),v_x,t_a).
% 51.82/51.94  ** KEPT (pick-wt=24): 620 [copy,532,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).
% 51.82/51.94  532 back subsumes 531.
% 51.82/51.94  >>>> Starting back demodulation with 535.
% 51.82/51.94  >>>> Starting back demodulation with 537.
% 51.82/51.94  >>>> Starting back demodulation with 539.
% 51.82/51.94  >>>> Starting back demodulation with 543.
% 51.82/51.94      >> back demodulating 538 with 543.
% 51.82/51.94      >> back demodulating 536 with 543.
% 51.82/51.94      >> back demodulating 509 with 543.
% 51.82/51.94  >>>> Starting back demodulation with 546.
% 51.82/51.94      >> back demodulating 515 with 546.
% 51.82/51.94      >> back demodulating 511 with 546.
% 51.82/51.94  >>>> Starting back demodulation with 549.
% 51.82/51.94  ** KEPT (pick-wt=15): 621 [copy,550,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B).
% 51.82/51.94  ** KEPT (pick-wt=16): 622 [copy,551,flip.1] hAPP(hAPP(A,B),hAPP(C,B))=hAPP(c_COMBS(A,C,D,E,F),B).
% 51.82/51.94  >>>> Starting back demodulation with 554.
% 51.82/51.94      >> back demodulating 451 with 554.
% 51.82/51.94    Following clause subsumed by 294 during input processing: 0 [copy,593,flip.1] c_List_Odrop(c_Suc(A),B,C)=c_List_Odrop(A,c_List_Otl(B,C),C).
% 51.82/51.94    Following clause subsumed by 365 during input processing: 0 [copy,594,flip.1] c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 51.82/51.94    Following clause subsumed by 374 during input processing: 0 [copy,595,flip.1] c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(A),tc_Lambda_OdB)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.82/51.94    Following clause subsumed by 375 during input processing: 0 [copy,596,flip.1] c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(A))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 51.82/51.94    Following clause subsumed by 604 during input processing: 0 [copy,597,flip.1] c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,A),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(B)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 52.76/52.87    Following clause subsumed by 380 during input processing: 0 [copy,598,flip.1] c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(B,tc_List_Olist(C))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 52.76/52.87  >>>> Starting back demodulation with 603.
% 52.76/52.87    Following clause subsumed by 597 during input processing: 0 [copy,604,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(B)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))))=c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,A),B)).
% 52.76/52.87  >>>> Starting back demodulation with 606.
% 52.76/52.87    Following clause subsumed by 446 during input processing: 0 [copy,608,flip.1] c_List_Ofoldr(A,B,C,D,E)=c_List_Ofoldl(c_COMBC(A,D,E,E),C,c_List_Orev(B,D),E,D).
% 52.76/52.87    Following clause subsumed by 466 during input processing: 0 [copy,611,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).
% 52.76/52.87    Following clause subsumed by 483 during input processing: 0 [copy,612,flip.1] c_List_Oconcat__map(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 52.76/52.87    Following clause subsumed by 490 during input processing: 0 [copy,613,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).
% 52.76/52.87    Following clause subsumed by 507 during input processing: 0 [copy,614,flip.1] c_List_Oconcat__map(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Oappend(hAPP(A,B),c_List_Oconcat__map(A,C,D,E),E).
% 52.76/52.87    Following clause subsumed by 522 during input processing: 0 [copy,615,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).
% 52.76/52.87    Following clause subsumed by 524 during input processing: 0 [copy,616,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).
% 52.76/52.87    Following clause subsumed by 525 during input processing: 0 [copy,617,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).
% 52.76/52.87    Following clause subsumed by 526 during input processing: 0 [copy,618,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).
% 52.76/52.87    Following clause subsumed by 530 during input processing: 0 [copy,619,flip.1] c_List_Olistsp(c_COMBS(c_COMBB(c_and,A,tc_bool,tc_fun(tc_bool,tc_bool),t_a),B,t_a,tc_bool,tc_bool),v_x,t_a)=hAPP(hAPP(c_and,c_List_Olistsp(A,v_x,t_a)),c_List_Olistsp(B,v_x,t_a)).
% 52.76/52.87    Following clause subsumed by 532 during input processing: 0 [copy,620,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).
% 52.76/52.87    Following clause subsumed by 550 during input processing: 0 [copy,621,flip.1] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 52.76/52.87    Following clause subsumed by 551 during input processing: 0 [copy,622,flip.1] hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 52.76/52.87  ** KEPT (pick-wt=21): 624 [copy,623,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).
% 52.76/52.87    Following clause subsumed by 623 during input processing: 0 [copy,624,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).
% 52.76/52.87  
% 52.76/52.87  ======= end of input processing =======
% 52.76/52.87  
% 52.76/52.87  =========== start of search ===========
% 52.76/52.87  
% 52.76/52.87  
% 52.76/52.87  Resetting weight limit to 2.
% 52.76/52.87  
% 52.76/52.87  
% 52.76/52.87  Resetting weight limit to 2.
% 52.76/52.87  
% 52.76/52.87  sos_size=201
% 52.76/52.87  
% 52.76/52.87  Search stopped in tp_alloc by max_mem option.
% 52.76/52.87  
% 52.76/52.87  Search stopped in tp_alloc by max_mem option.
% 52.76/52.87  
% 52.76/52.87  ============ end of search ============
% 52.76/52.87  
% 52.76/52.87  -------------- statistics -------------
% 52.76/52.87  clauses given                173
% 52.76/52.87  clauses generated          89105
% 52.76/52.87  clauses kept                 485
% 52.76/52.87  clauses forward subsumed     122
% 52.76/52.87  clauses back subsumed          5
% 52.76/52.87  Kbytes malloced            11718
% 52.76/52.87  
% 52.76/52.87  ----------- times (seconds) -----------
% 52.76/52.87  user CPU time          0.99          (0 hr, 0 min, 0 sec)
% 52.76/52.87  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 52.76/52.87  wall-clock time       52             (0 hr, 0 min, 52 sec)
% 52.76/52.87  
% 52.76/52.87  Process 16181 finished Wed Jul 27 09:29:32 2022
% 52.76/52.87  Otter interrupted
% 52.76/52.87  PROOF NOT FOUND
%------------------------------------------------------------------------------