%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:05:38 EDT 2022

% Result   : Unknown 6.93s 7.08s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Jul 27 09:46:07 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 6.81/7.00  ----- Otter 3.3f, August 2004 -----
% 6.81/7.00  The process was started by sandbox2 on n016.cluster.edu,
% 6.81/7.00  Wed Jul 27 09:46:07 2022
% 6.81/7.00  The command was "./otter".  The process ID is 5907.
% 6.81/7.00  
% 6.81/7.00  set(prolog_style_variables).
% 6.81/7.00  set(auto).
% 6.81/7.00     dependent: set(auto1).
% 6.81/7.00     dependent: set(process_input).
% 6.81/7.00     dependent: clear(print_kept).
% 6.81/7.00     dependent: clear(print_new_demod).
% 6.81/7.00     dependent: clear(print_back_demod).
% 6.81/7.00     dependent: clear(print_back_sub).
% 6.81/7.00     dependent: set(control_memory).
% 6.81/7.00     dependent: assign(max_mem, 12000).
% 6.81/7.00     dependent: assign(pick_given_ratio, 4).
% 6.81/7.00     dependent: assign(stats_level, 1).
% 6.81/7.00     dependent: assign(max_seconds, 10800).
% 6.81/7.00  clear(print_given).
% 6.81/7.00  
% 6.81/7.00  list(usable).
% 6.81/7.00  0 [] A=A.
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_x,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a)))| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),V_ys),V_xs)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),V_ys),V_xs))|hBOOL(hAPP(hAPP(V_r,V_y),V_x))| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a))).
% 6.81/7.00  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.
% 6.81/7.00  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.
% 6.81/7.00  0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),V_ys),V_xs))|V_xs=V_ys| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a))).
% 6.81/7.00  0 [] -hBOOL(hAPP(hAPP(V_r,V_y),V_xa))|hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_x,T_a)),c_List_Olist_OCons(V_xa,V_x,T_a))).
% 6.81/7.00  0 [] V_x=V_y|V_xs=V_ys| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a))).
% 6.81/7.00  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).
% 6.81/7.00  0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 6.81/7.00  0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 6.81/7.00  0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_r,V_y),V_x))| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_OCons(V_y,V_ys,T_a)),c_List_Olist_OCons(V_x,V_xs,T_a))).
% 6.81/7.00  0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 6.81/7.00  0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(V_r,T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(V_x,V_xs,T_a)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(V_r,T_a),tc_List_Olist(T_a)),V_xs))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x)).
% 6.81/7.00  0 [] c_Type_Otype_OFun(V_type1,V_type2)!=c_Type_Otype_OFun(V_type1_H,V_type2_H)|V_type2=V_type2_H.
% 6.81/7.00  0 [] c_Type_Otype_OFun(V_type1,V_type2)!=c_Type_Otype_OFun(V_type1_H,V_type2_H)|V_type1=V_type1_H.
% 6.81/7.00  0 [] c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)| -c_Type_Otyping(V_env,V_t,V_T)| -c_Type_Otyping(V_env,V_s,c_Type_Otype_OFun(V_T,V_U)).
% 6.81/7.00  0 [] c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)| -c_Type_Otyping(V_e,V_t,V_T).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 6.81/7.00  0 [] -c_Type_Otyping(V_e_H,V_u,V_U)| -c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)|c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T).
% 6.81/7.00  0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -c_Type_Otyping(V_e,V_t,V_T)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),V_rs),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 6.81/7.00  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).
% 6.81/7.00  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.
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 6.81/7.00  0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),c_Type_Otype_OFun(V_T,V_U))| -c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U).
% 6.81/7.00  0 [] c_List_Olistsp(c_Wellfounded_Oaccp(V_r,T_a),V_xs,T_a)| -hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(V_r,T_a),tc_List_Olist(T_a)),V_xs)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(V_r,T_a),tc_List_Olist(T_a)),V_xs))| -c_List_Olistsp(c_Wellfounded_Oaccp(V_r,T_a),V_xs,T_a).
% 6.81/7.00  0 [] hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x)=V_T.
% 6.81/7.00  0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 6.81/7.00  0 [] -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),V_xs),c_List_Olist_ONil(T_a))).
% 6.81/7.00  0 [] -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(V_r,T_a),c_List_Olist_ONil(T_a)),V_xs)).
% 6.81/7.00  0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 6.81/7.00  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).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),V_rs),V_ss)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 6.81/7.00  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).
% 6.81/7.00  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).
% 6.81/7.00  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).
% 6.81/7.00  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).
% 6.81/7.00  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).
% 6.81/7.00  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).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))| -c_Type_Otyping(V_e,V_u,V_U)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),V_t,V_T)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 6.81/7.00  0 [] V_v=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB).
% 6.81/7.00  0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 6.81/7.00  0 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a)=c_Transitive__Closure_Ortranclp(V_r,T_a).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,V_t))| -c_Type_Otyping(V_e,V_t,V_T).
% 6.81/7.00  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).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(V_A,V_x),V_y))| -hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(V_B,V_x),V_y))| -hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 6.81/7.00  0 [] c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k)=V_t.
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 6.81/7.00  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 6.81/7.00  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 6.81/7.00  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.
% 6.81/7.00  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.
% 6.81/7.00  0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 6.81/7.00  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 6.81/7.00  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(V_r,V_s,T_a,T_b,T_c),V_a),V_c))| -hBOOL(hAPP(hAPP(V_s,V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(V_r,V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)).
% 6.81/7.00  0 [] c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)).
% 6.81/7.00  0 [] c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(V_r,T_a),T_a)| -c_Wellfounded_OwfP(V_r,T_a).
% 6.81/7.00  0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 6.81/7.00  0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(V_r,V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(V_B,V_x),V_y))|hBOOL(hAPP(hAPP(V_A,V_x),V_y))| -hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))| -hBOOL(hAPP(hAPP(V_B,V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))| -hBOOL(hAPP(hAPP(V_A,V_x),V_y)).
% 6.81/7.00  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))).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 6.81/7.00  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).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 6.81/7.00  0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 6.81/7.00  0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 6.81/7.00  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.
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))).
% 6.81/7.00  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).
% 6.81/7.00  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.
% 6.81/7.00  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.
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 6.81/7.00  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.
% 6.81/7.00  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.
% 6.81/7.00  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).
% 6.81/7.00  0 [] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_fe_qual(T_a),tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a)=c_Transitive__Closure_Ortranclp(V_R,T_a).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_R,T_a),V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_R,T_a),V_a),V_b)).
% 6.81/7.00  0 [] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(V_R,T_a),c_Transitive__Closure_Ortranclp(V_S,T_a),tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a)=c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a).
% 6.81/7.00  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 6.81/7.00  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 6.81/7.00  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 6.81/7.00  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)).
% 6.81/7.00  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(V_r,T_a),c_fe_qual(T_a),tc_fun(T_a,tc_fun(T_a,tc_bool)))=c_Transitive__Closure_Ortranclp(V_r,T_a).
% 6.81/7.00  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 6.81/7.00  0 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k)=V_u.
% 6.81/7.00  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.
% 6.81/7.00  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.
% 6.81/7.00  0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_y)).
% 6.81/7.00  0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 6.81/7.00  0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 6.81/7.00  0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 6.81/7.00  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)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))| -hBOOL(hAPP(hAPP(V_B,V_x),V_y))| -hBOOL(hAPP(hAPP(V_A,V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(V_r,V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(V_r,V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),V_a))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(V_R,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(V_R,V_x,T_a)),V_x))|hBOOL(hAPP(c_Wellfounded_Oaccp(V_R,T_a),V_x)).
% 6.81/7.00  0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))| -c_Type_Otyping(V_e,V_t,V_T).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))| -c_Wellfounded_OwfP(V_r,T_a).
% 6.81/7.00  0 [] c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a)=V_r.
% 6.81/7.00  0 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))|hBOOL(hAPP(hAPP(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(V_r,V_x,T_a)),V_x)).
% 6.81/7.00  0 [] c_Predicate_Oconversep(c_fe_qual(T_a),T_a,T_a)=c_fe_qual(T_a).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a),V_x),V_y)).
% 6.81/7.00  0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(V_R,T_a),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(V_R,V_x,T_a)))|hBOOL(hAPP(c_Wellfounded_Oaccp(V_R,T_a),V_x)).
% 6.81/7.00  0 [] c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a)=c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,V_r))| -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),V_r)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),V_t))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_b))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_b))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)).
% 6.81/7.00  0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),V_s))|hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))| -hBOOL(hAPP(hAPP(V_r,V_b),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(V_r,V_b),V_a))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_ya))| -hBOOL(hAPP(hAPP(V_r,V_ya),v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_ya))| -hBOOL(hAPP(hAPP(V_r,V_ya),v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,t_a),V_x)).
% 6.81/7.00  0 [] c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(T_b,tc_fun(T_a,tc_bool))),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(V_r,T_b,T_a),c_Predicate_Oconversep(V_s,T_b,T_a),tc_fun(T_a,tc_fun(T_b,tc_bool))).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)).
% 6.81/7.00  0 [] c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(T_b,tc_fun(T_a,tc_bool))),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(V_r,T_b,T_a),c_Predicate_Oconversep(V_s,T_b,T_a),tc_fun(T_a,tc_fun(T_b,tc_bool))).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(V_r,V_x,T_a))).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(V_r,V_x,T_a))).
% 6.81/7.00  0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_x))|hBOOL(hAPP(hAPP(V_r,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(V_r,V_x,T_a)),V_x)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)).
% 6.81/7.00  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(V_r,T_a),V_a)).
% 6.81/7.00  0 [] c_Predicate_Oconversep(c_Predicate_Opred__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a)=c_Predicate_Opred__comp(c_Predicate_Oconversep(V_s,T_c,T_a),c_Predicate_Oconversep(V_r,T_b,T_c),T_a,T_c,T_b).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 6.81/7.00  0 [] hBOOL(hAPP(c_InductTermi_OIT,v_t)).
% 6.81/7.00  0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)).
% 6.81/7.00  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 6.81/7.00  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 6.81/7.00  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 6.81/7.00  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 6.81/7.00  0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 6.81/7.00  0 [] class_Lattices_Olower__semilattice(tc_nat).
% 6.81/7.00  0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 6.81/7.00  0 [] class_Lattices_Olattice(tc_nat).
% 6.81/7.00  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 6.81/7.00  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 6.81/7.00  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 6.81/7.00  0 [] class_Lattices_Olattice(tc_bool).
% 6.81/7.00  0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 6.81/7.00  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 6.81/7.00  end_of_list.
% 6.81/7.00  
% 6.81/7.00  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 6.81/7.00  
% 6.81/7.00  This ia a non-Horn set with equality.  The strategy will be
% 6.81/7.00  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 6.81/7.00  deletion, with positive clauses in sos and nonpositive
% 6.81/7.00  clauses in usable.
% 6.81/7.00  
% 6.81/7.00     dependent: set(knuth_bendix).
% 6.81/7.01     dependent: set(anl_eq).
% 6.81/7.01     dependent: set(para_from).
% 6.81/7.01     dependent: set(para_into).
% 6.81/7.01     dependent: clear(para_from_right).
% 6.81/7.01     dependent: clear(para_into_right).
% 6.81/7.01     dependent: set(para_from_vars).
% 6.81/7.01     dependent: set(eq_units_both_ways).
% 6.81/7.01     dependent: set(dynamic_demod_all).
% 6.81/7.01     dependent: set(dynamic_demod).
% 6.81/7.01     dependent: set(order_eq).
% 6.81/7.01     dependent: set(back_demod).
% 6.81/7.01     dependent: set(lrpo).
% 6.81/7.01     dependent: set(hyper_res).
% 6.81/7.01     dependent: set(unit_deletion).
% 6.81/7.01     dependent: set(factor).
% 6.81/7.01  
% 6.81/7.01  ------------> process usable:
% 6.81/7.01  ** KEPT (pick-wt=22): 1 [] hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,B),c_List_Olist_OCons(C,D,B)),c_List_Olist_OCons(C,E,B)))| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,B),D),E)).
% 6.81/7.01  ** KEPT (pick-wt=28): 2 [] hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,B),C),D))|hBOOL(hAPP(hAPP(A,E),F))| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,B),c_List_Olist_OCons(E,C,B)),c_List_Olist_OCons(F,D,B))).
% 6.81/7.01  ** KEPT (pick-wt=12): 3 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 6.81/7.01  ** KEPT (pick-wt=12): 4 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 6.81/7.01  ** KEPT (pick-wt=7): 5 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 6.81/7.01  ** KEPT (pick-wt=25): 6 [] hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,B),C),D))|D=C| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,B),c_List_Olist_OCons(E,C,B)),c_List_Olist_OCons(F,D,B))).
% 6.81/7.01  ** KEPT (pick-wt=20): 7 [] -hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,D),c_List_Olist_OCons(B,E,D)),c_List_Olist_OCons(C,E,D))).
% 6.81/7.01  ** KEPT (pick-wt=20): 8 [] A=B|C=D| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(E,F),c_List_Olist_OCons(B,D,F)),c_List_Olist_OCons(A,C,F))).
% 6.81/7.01  ** KEPT (pick-wt=7): 9 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 6.81/7.01    Following clause subsumed by 9 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 6.81/7.01  ** KEPT (pick-wt=23): 10 [] A=B|hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(C,D),c_List_Olist_OCons(B,E,D)),c_List_Olist_OCons(A,F,D))).
% 6.81/7.01  ** KEPT (pick-wt=6): 11 [] c_List_Olist_OCons(A,B,C)!=B.
% 6.81/7.01    Following clause subsumed by 11 during input processing: 0 [flip.1] c_List_Olist_OCons(B,A,C)!=A.
% 6.81/7.01  ** KEPT (pick-wt=27): 12 [] hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(A,B),tc_List_Olist(B)),c_List_Olist_OCons(C,D,B)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(A,B),tc_List_Olist(B)),D))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C)).
% 6.81/7.01  ** KEPT (pick-wt=10): 13 [] c_Type_Otype_OFun(A,B)!=c_Type_Otype_OFun(C,D)|B=D.
% 6.81/7.01  ** KEPT (pick-wt=10): 14 [] c_Type_Otype_OFun(A,B)!=c_Type_Otype_OFun(C,D)|A=C.
% 6.81/7.01  ** KEPT (pick-wt=18): 15 [] c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),C),D)| -c_Type_Otyping(A,C,E)| -c_Type_Otyping(A,B,c_Type_Otype_OFun(E,D)).
% 6.81/7.01  ** KEPT (pick-wt=14): 16 [] c_Type_Otyping(c_Type_Oshift(A,B,C,tc_Type_Otype),c_Lambda_Olift(D,B),E)| -c_Type_Otyping(A,D,E).
% 6.81/7.01  ** KEPT (pick-wt=20): 17 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 6.81/7.01  ** KEPT (pick-wt=19): 18 [] -c_Type_Otyping(A,B,C)| -c_Type_Otyping(c_Type_Oshift(A,D,C,tc_Type_Otype),E,F)|c_Type_Otyping(A,c_Lambda_Osubst(E,B,D),F).
% 6.81/7.01  ** KEPT (pick-wt=16): 19 [] c_Type_Otyping(A,B,C)| -c_Type_Otyping(A,D,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),D),B)).
% 6.81/7.01  ** KEPT (pick-wt=23): 20 [] hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),A),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(B,A,C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(B),A,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 6.81/7.01  ** KEPT (pick-wt=22): 21 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(A,D,C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D)).
% 6.81/7.01  ** KEPT (pick-wt=22): 22 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),D)).
% 6.87/7.01  ** KEPT (pick-wt=20): 23 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(A,D,C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,B),D)).
% 6.87/7.01  ** KEPT (pick-wt=20): 24 [] 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.
% 6.87/7.01  ** KEPT (pick-wt=18): 25 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),B)).
% 6.87/7.01  ** KEPT (pick-wt=24): 26 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),C)).
% 6.87/7.01  ** KEPT (pick-wt=24): 27 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 6.87/7.01  ** KEPT (pick-wt=32): 28 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),D)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 6.87/7.01  ** KEPT (pick-wt=16): 29 [] c_Type_Otyping(A,c_Lambda_OdB_OAbs(B),c_Type_Otype_OFun(C,D))| -c_Type_Otyping(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),C,tc_Type_Otype),B,D).
% 6.87/7.01  ** KEPT (pick-wt=15): 30 [] c_List_Olistsp(c_Wellfounded_Oaccp(A,B),C,B)| -hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(A,B),tc_List_Olist(B)),C)).
% 6.87/7.01  ** KEPT (pick-wt=15): 31 [] hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(A,B),tc_List_Olist(B)),C))| -c_List_Olistsp(c_Wellfounded_Oaccp(A,B),C,B).
% 6.87/7.01  ** KEPT (pick-wt=9): 32 [] -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,B),C),c_List_Olist_ONil(B))).
% 6.87/7.01  ** KEPT (pick-wt=9): 33 [] -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(A,B),c_List_Olist_ONil(B)),C)).
% 6.87/7.01  ** KEPT (pick-wt=28): 35 [copy,34,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).
% 6.87/7.01  ** KEPT (pick-wt=24): 36 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,A,C,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),B),C)).
% 6.87/7.01  ** KEPT (pick-wt=26): 37 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 6.87/7.01  ** KEPT (pick-wt=13): 38 [] 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).
% 6.87/7.01  ** KEPT (pick-wt=13): 39 [] 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).
% 6.87/7.01  ** KEPT (pick-wt=13): 40 [] 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).
% 6.87/7.01  ** KEPT (pick-wt=27): 41 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(A,B,C)))| -c_Type_Otyping(D,B,E)| -hBOOL(hAPP(c_InductTermi_OIT,B))| -c_Type_Otyping(c_Type_Oshift(D,C,E,tc_Type_Otype),A,F)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.87/7.01  ** KEPT (pick-wt=24): 43 [copy,42,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(A,B,C),tc_Lambda_OdB,tc_Lambda_OdB)=C| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 6.87/7.01  ** KEPT (pick-wt=14): 44 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_List_Olistsp(c_InductTermi_OIT,B,tc_Lambda_OdB).
% 6.87/7.01  ** KEPT (pick-wt=8): 45 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 6.87/7.01  ** KEPT (pick-wt=8): 46 [] hBOOL(hAPP(c_InductTermi_OIT,A))| -c_Type_Otyping(B,A,C).
% 6.87/7.01  ** KEPT (pick-wt=14): 47 [] 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).
% 6.87/7.01  ** KEPT (pick-wt=19): 48 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(E,tc_fun(F,tc_bool))),B),C)).
% 6.87/7.01  ** KEPT (pick-wt=19): 49 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(E,tc_fun(F,tc_bool))),B),C)).
% 6.87/7.01  ** KEPT (pick-wt=13): 50 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,A),c_Lambda_OdB_OVar(B))))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.87/7.01  ** KEPT (pick-wt=14): 51 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,C),D)).
% 6.87/7.01  ** KEPT (pick-wt=14): 52 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 6.87/7.01  ** KEPT (pick-wt=14): 53 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 6.87/7.01  ** KEPT (pick-wt=11): 54 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 6.87/7.01  ** KEPT (pick-wt=11): 55 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 6.87/7.01  ** KEPT (pick-wt=9): 56 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.87/7.01  ** KEPT (pick-wt=16): 57 [] 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.
% 6.87/7.01  ** KEPT (pick-wt=13): 58 [] 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.
% 6.87/7.01  ** KEPT (pick-wt=11): 59 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 6.87/7.01  ** KEPT (pick-wt=11): 60 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 6.87/7.01  ** KEPT (pick-wt=17): 61 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=17): 62 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=17): 63 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=17): 64 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=8): 65 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 6.87/7.01  ** KEPT (pick-wt=20): 67 [copy,66,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 6.87/7.01  ** KEPT (pick-wt=20): 69 [copy,68,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=23): 70 [] hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(A,B,C,D,E),F),G))| -hBOOL(hAPP(hAPP(B,H),G))| -hBOOL(hAPP(hAPP(A,F),H)).
% 6.87/7.01  ** KEPT (pick-wt=24): 71 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),E)).
% 6.87/7.01  ** KEPT (pick-wt=24): 72 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 6.87/7.01  ** KEPT (pick-wt=24): 73 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 6.87/7.01  ** KEPT (pick-wt=22): 74 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 6.87/7.01  ** KEPT (pick-wt=22): 75 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 6.87/7.01  ** KEPT (pick-wt=8): 76 [] c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(A,B),B)| -c_Wellfounded_OwfP(A,B).
% 6.87/7.01  ** KEPT (pick-wt=10): 77 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 6.87/7.01  ** KEPT (pick-wt=16): 78 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D)).
% 6.87/7.01  ** KEPT (pick-wt=5): 79 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 6.87/7.01  ** KEPT (pick-wt=14): 80 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,C),D)).
% 6.87/7.01  ** KEPT (pick-wt=25): 81 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,B),C))| -hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(E,tc_fun(F,tc_bool))),B),C)).
% 6.87/7.01  ** KEPT (pick-wt=19): 82 [] hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),E),F))| -hBOOL(hAPP(hAPP(B,E),F)).
% 6.87/7.01  ** KEPT (pick-wt=19): 83 [] hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),E),F))| -hBOOL(hAPP(hAPP(A,E),F)).
% 6.87/7.01  ** KEPT (pick-wt=31): 84 [] 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))).
% 6.87/7.01  ** KEPT (pick-wt=10): 85 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(A,B)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.87/7.01  ** KEPT (pick-wt=15): 86 [] 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).
% 6.87/7.01  ** KEPT (pick-wt=17): 87 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=17): 88 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=17): 89 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=17): 90 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=8): 91 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 6.87/7.01  ** KEPT (pick-wt=8): 92 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 6.87/7.01  ** KEPT (pick-wt=13): 93 [] 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.
% 6.87/7.01  ** KEPT (pick-wt=22): 94 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 6.87/7.01  ** KEPT (pick-wt=11): 95 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 6.87/7.01  ** KEPT (pick-wt=23): 96 [] 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).
% 6.87/7.01  ** KEPT (pick-wt=14): 97 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 6.87/7.01  ** KEPT (pick-wt=14): 98 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 6.87/7.01  ** KEPT (pick-wt=11): 99 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 6.87/7.01  ** KEPT (pick-wt=18): 100 [] 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.
% 6.87/7.01  ** KEPT (pick-wt=18): 101 [] 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.
% 6.87/7.01  ** KEPT (pick-wt=13): 102 [] 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).
% 6.87/7.01  ** KEPT (pick-wt=19): 103 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))|C=D| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D)).
% 6.87/7.01    Following clause subsumed by 103 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))|C=D| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D)).
% 6.87/7.01  ** KEPT (pick-wt=20): 104 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=20): 105 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 6.87/7.01  ** KEPT (pick-wt=14): 106 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 6.87/7.01  ** KEPT (pick-wt=14): 107 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 6.87/7.01  ** KEPT (pick-wt=12): 108 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(A,c_Lambda_OdB_OVar(B),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.87/7.01  ** KEPT (pick-wt=8): 109 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 6.87/7.01  ** KEPT (pick-wt=18): 110 [] 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.
% 6.87/7.01  ** KEPT (pick-wt=18): 111 [] 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.
% 6.87/7.01  ** KEPT (pick-wt=8): 112 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 6.87/7.01  ** KEPT (pick-wt=24): 113 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),E)).
% 6.87/7.01  ** KEPT (pick-wt=8): 114 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 6.87/7.01  ** KEPT (pick-wt=8): 115 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 6.87/7.01  ** KEPT (pick-wt=5): 116 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 6.87/7.01  ** KEPT (pick-wt=25): 117 [] hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_fun(D,tc_bool))),E),F))| -hBOOL(hAPP(hAPP(B,E),F))| -hBOOL(hAPP(hAPP(A,E),F)).
% 6.87/7.01  ** KEPT (pick-wt=22): 118 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 6.87/7.01  ** KEPT (pick-wt=22): 119 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 6.87/7.01  ** KEPT (pick-wt=22): 120 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),E)).
% 6.87/7.01  ** KEPT (pick-wt=22): 121 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 6.87/7.01  ** KEPT (pick-wt=18): 122 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(A,C),D))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 6.87/7.01    Following clause subsumed by 122 during input processing: 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(A,C),D))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 6.87/7.01  ** KEPT (pick-wt=17): 123 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(A,C,D)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(C,D),B)).
% 6.87/7.01  ** KEPT (pick-wt=23): 124 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(D,C),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(A,D,E)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(D,E),B)).
% 6.87/7.01  ** KEPT (pick-wt=14): 125 [] c_Type_Otyping(A,B,C)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,D),B))| -c_Type_Otyping(A,D,C).
% 6.87/7.01  ** KEPT (pick-wt=9): 126 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -c_Wellfounded_OwfP(A,B).
% 6.87/7.01  ** KEPT (pick-wt=7): 127 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(A)),B)).
% 6.87/7.01  ** KEPT (pick-wt=22): 128 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(A,B),B,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(A,B,B),B),C),D)).
% 6.87/7.01  ** KEPT (pick-wt=22): 129 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(A,B,B),B),C),D))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(A,B),B,B),C),D)).
% 6.87/7.01  ** KEPT (pick-wt=15): 130 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(A,C,B)))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C)).
% 6.87/7.01  ** KEPT (pick-wt=13): 131 [] hBOOL(hAPP(c_InductTermi_OIT,A))| -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),A)).
% 6.87/7.01  ** KEPT (pick-wt=13): 132 [] hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),A))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.87/7.01  ** KEPT (pick-wt=20): 133 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D)).
% 6.87/7.01    Following clause subsumed by 133 during input processing: 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 6.87/7.01  ** KEPT (pick-wt=18): 134 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),D)).
% 6.87/7.01  ** KEPT (pick-wt=16): 135 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xaccp__Xinducts__1(A,C)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(C,t_a),B)).
% 6.87/7.01  ** KEPT (pick-wt=22): 136 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(D,C),v_sko__Wellfounded__Xaccp__Xinducts__1(A,D)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(D,t_a),B)).
% 6.87/7.01  ** KEPT (pick-wt=46): 137 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)),C,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),B))|hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B),C,tc_Lambda_OdB,tc_Lambda_OdB))).
% 6.87/7.01  ** KEPT (pick-wt=16): 138 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xaccp__Xinduct__1(A,C)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(C,t_a),B)).
% 6.87/7.01  ** KEPT (pick-wt=22): 139 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(D,C),v_sko__Wellfounded__Xaccp__Xinduct__1(A,D)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(D,t_a),B)).
% 6.87/7.01  ** KEPT (pick-wt=15): 140 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 6.87/7.01  ** KEPT (pick-wt=15): 141 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 6.87/7.01    Following clause subsumed by 140 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 6.87/7.01    Following clause subsumed by 141 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 6.87/7.01  ** KEPT (pick-wt=24): 142 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Wellfounded_Oaccp(C,t_a),D))| -hBOOL(hAPP(hAPP(C,D),v_sko__Wellfounded__Xaccp__Xinducts__1(A,C)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(C,t_a),B)).
% 6.87/7.01  ** KEPT (pick-wt=24): 143 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Wellfounded_Oaccp(C,t_a),D))| -hBOOL(hAPP(hAPP(C,D),v_sko__Wellfounded__Xaccp__Xinduct__1(A,C)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(C,t_a),B)).
% 6.87/7.01  ** KEPT (pick-wt=19): 144 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(A,B,B),B),D),C)).
% 6.87/7.01  ** KEPT (pick-wt=19): 145 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(A,B,B),B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),D),C)).
% 6.87/7.01  ** KEPT (pick-wt=19): 146 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Wellfounded_Oaccp(C,D),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(A,C,D)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(C,D),B)).
% 6.87/7.01  ** KEPT (pick-wt=15): 147 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(A,C,B))).
% 6.87/7.01  ** KEPT (pick-wt=15): 148 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(A,C,B))).
% 6.87/7.01  ** KEPT (pick-wt=20): 149 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,B),C)).
% 6.87/7.01  ** KEPT (pick-wt=20): 150 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 6.87/7.01  ** KEPT (pick-wt=19): 151 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Wellfounded_Oaccp(C,D),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(A,C,D)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(C,D),B)).
% 6.87/7.01  ** KEPT (pick-wt=16): 152 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 6.87/7.01  ** KEPT (pick-wt=17): 153 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(A,C,D)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(C,D),B)).
% 6.87/7.01  ** KEPT (pick-wt=23): 154 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(D,C),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(A,D,E)))| -hBOOL(hAPP(c_Wellfounded_Oaccp(D,E),B)).
% 6.87/7.01  ** KEPT (pick-wt=14): 155 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),B)).
% 6.87/7.01  ** KEPT (pick-wt=9): 156 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)).
% 6.87/7.01  ** KEPT (pick-wt=6): 157 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 6.87/7.01  ** KEPT (pick-wt=6): 158 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 6.87/7.01  ** KEPT (pick-wt=6): 159 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 6.87/7.01  ** KEPT (pick-wt=6): 160 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 6.87/7.01  ** KEPT (pick-wt=10): 161 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 6.87/7.01    Following clause subsumed by 9 during input processing: 0 [copy,5,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 6.87/7.01    Following clause subsumed by 5 during input processing: 0 [copy,9,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 6.87/7.01    Following clause subsumed by 92 during input processing: 0 [copy,45,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 6.87/7.01  ** KEPT (pick-wt=14): 165 [copy,47,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).
% 6.87/7.01    Following clause subsumed by 116 during input processing: 0 [copy,79,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 6.87/7.01  ** KEPT (pick-wt=15): 168 [copy,86,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).
% 6.87/7.01    Following clause subsumed by 45 during input processing: 0 [copy,92,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 6.87/7.01    Following clause subsumed by 115 during input processing: 0 [copy,112,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 6.87/7.01    Following clause subsumed by 112 during input processing: 0 [copy,115,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 6.87/7.01    Following clause subsumed by 79 during input processing: 0 [copy,116,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 6.87/7.01    Following clause subsumed by 47 during input processing: 0 [copy,165,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).
% 6.87/7.01    Following clause subsumed by 86 during input processing: 0 [copy,168,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).
% 6.87/7.01  
% 6.87/7.01  ------------> process sos:
% 6.87/7.01  ** KEPT (pick-wt=3): 175 [] A=A.
% 6.87/7.01  ** KEPT (pick-wt=20): 176 [] 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).
% 6.87/7.01  ** KEPT (pick-wt=17): 178 [copy,177,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 6.87/7.01  ---> New Demodulator: 179 [new_demod,178] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 6.87/7.01  ** KEPT (pick-wt=9): 180 [] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 6.87/7.01  ---> New Demodulator: 181 [new_demod,180] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 6.87/7.01  ** KEPT (pick-wt=9): 182 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 6.87/7.01  ---> New Demodulator: 183 [new_demod,182] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 6.87/7.01  ** KEPT (pick-wt=5): 184 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 6.87/7.01    Following clause subsumed by 175 during input processing: 0 [demod,183] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 6.87/7.01    Following clause subsumed by 175 during input processing: 0 [demod,183] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 6.87/7.01    Following clause subsumed by 175 during input processing: 0 [demod,183] c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 6.87/7.01  ** KEPT (pick-wt=9): 185 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 6.87/7.01  ---> New Demodulator: 186 [new_demod,185] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 6.87/7.01  ** KEPT (pick-wt=8): 187 [] c_Lambda_Osubst(c_Lambda_Olift(A,B),C,B)=A.
% 6.87/7.01  ---> New Demodulator: 188 [new_demod,187] c_Lambda_Osubst(c_Lambda_Olift(A,B),C,B)=A.
% 6.87/7.01  ** KEPT (pick-wt=7): 189 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 6.87/7.01  ** KEPT (pick-wt=8): 190 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 6.87/7.01    Following clause subsumed by 190 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 6.87/7.01  ** KEPT (pick-wt=17): 192 [copy,191,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,A),C),B).
% 6.87/7.01  ---> New Demodulator: 193 [new_demod,192] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,A),C),B).
% 6.87/7.01  ** KEPT (pick-wt=5): 194 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 6.87/7.01  ** KEPT (pick-wt=15): 195 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)),c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)))).
% 6.87/7.01  ** KEPT (pick-wt=15): 196 [] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(A,c_fe_qual(B),tc_fun(B,tc_fun(B,tc_bool))),B)=c_Transitive__Closure_Ortranclp(A,B).
% 6.87/7.01  ---> New Demodulator: 197 [new_demod,196] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(A,c_fe_qual(B),tc_fun(B,tc_fun(B,tc_bool))),B)=c_Transitive__Closure_Ortranclp(A,B).
% 6.87/7.01  ** KEPT (pick-wt=25): 198 [] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(A,B),c_Transitive__Closure_Ortranclp(C,B),tc_fun(B,tc_fun(B,tc_bool))),B)=c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_fun(B,tc_bool))),B).
% 6.87/7.01  ---> New Demodulator: 199 [new_demod,198] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(A,B),c_Transitive__Closure_Ortranclp(C,B),tc_fun(B,tc_fun(B,tc_bool))),B)=c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_fun(B,tc_bool))),B).
% 6.87/7.01  ** KEPT (pick-wt=15): 200 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(A,B),c_fe_qual(B),tc_fun(B,tc_fun(B,tc_bool)))=c_Transitive__Closure_Ortranclp(A,B).
% 6.87/7.01  ---> New Demodulator: 201 [new_demod,200] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(A,B),c_fe_qual(B),tc_fun(B,tc_fun(B,tc_bool)))=c_Transitive__Closure_Ortranclp(A,B).
% 6.87/7.01  ** KEPT (pick-wt=7): 202 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 6.87/7.01  ---> New Demodulator: 203 [new_demod,202] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 6.87/7.01  ** KEPT (pick-wt=20): 205 [copy,204,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).
% 6.87/7.01  ---> New Demodulator: 206 [new_demod,205] 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).
% 6.87/7.01  ** KEPT (pick-wt=15): 207 [] hBOOL(hAPP(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(A,B,C)),B))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,C),B)).
% 6.87/7.01  ** KEPT (pick-wt=9): 208 [] c_Predicate_Oconversep(c_Predicate_Oconversep(A,B,C),C,B)=A.
% 6.87/7.01  ---> New Demodulator: 209 [new_demod,208] c_Predicate_Oconversep(c_Predicate_Oconversep(A,B,C),C,B)=A.
% 6.87/7.01  ** KEPT (pick-wt=15): 210 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))|hBOOL(hAPP(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(A,C,B)),C)).
% 6.87/7.01  ** KEPT (pick-wt=8): 211 [] c_Predicate_Oconversep(c_fe_qual(A),A,A)=c_fe_qual(A).
% 6.87/7.01  ---> New Demodulator: 212 [new_demod,211] c_Predicate_Oconversep(c_fe_qual(A),A,A)=c_fe_qual(A).
% 6.87/7.01  ** KEPT (pick-wt=13): 213 [] c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(A,B,B),B)=c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(A,B),B,B).
% 6.87/7.01  ---> New Demodulator: 214 [new_demod,213] c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(A,B,B),B)=c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(A,B),B,B).
% 6.87/7.01  ** KEPT (pick-wt=26): 215 [] c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 6.93/7.08  ** KEPT (pick-wt=26): 216 [] c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 6.93/7.08  ** KEPT (pick-wt=15): 217 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))|hBOOL(hAPP(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(A,C,B)),C)).
% 6.93/7.08  ** KEPT (pick-wt=22): 218 [] c_Predicate_Oconversep(c_Predicate_Opred__comp(A,B,C,D,E),C,E)=c_Predicate_Opred__comp(c_Predicate_Oconversep(B,D,E),c_Predicate_Oconversep(A,C,D),E,D,C).
% 6.93/7.08  ---> New Demodulator: 219 [new_demod,218] c_Predicate_Oconversep(c_Predicate_Opred__comp(A,B,C,D,E),C,E)=c_Predicate_Opred__comp(c_Predicate_Oconversep(B,D,E),c_Predicate_Oconversep(A,C,D),E,D,C).
% 6.93/7.08  ** KEPT (pick-wt=4): 220 [] hBOOL(hAPP(c_InductTermi_OIT,v_t)).
% 6.93/7.08  ** KEPT (pick-wt=2): 221 [] class_Lattices_Oupper__semilattice(tc_nat).
% 6.93/7.08  ** KEPT (pick-wt=2): 222 [] class_Lattices_Olower__semilattice(tc_nat).
% 6.93/7.08  ** KEPT (pick-wt=2): 223 [] class_Lattices_Odistrib__lattice(tc_nat).
% 6.93/7.08  ** KEPT (pick-wt=2): 224 [] class_Lattices_Olattice(tc_nat).
% 6.93/7.08  ** KEPT (pick-wt=2): 225 [] class_Lattices_Oupper__semilattice(tc_bool).
% 6.93/7.08  ** KEPT (pick-wt=2): 226 [] class_Lattices_Olower__semilattice(tc_bool).
% 6.93/7.08  ** KEPT (pick-wt=2): 227 [] class_Lattices_Odistrib__lattice(tc_bool).
% 6.93/7.08  ** KEPT (pick-wt=2): 228 [] class_Lattices_Olattice(tc_bool).
% 6.93/7.08  ** KEPT (pick-wt=7): 229 [] hBOOL(hAPP(hAPP(c_fe_qual(A),B),B)).
% 6.93/7.08    Following clause subsumed by 175 during input processing: 0 [copy,175,flip.1] A=A.
% 6.93/7.08  175 back subsumes 169.
% 6.93/7.08  ** KEPT (pick-wt=20): 230 [copy,176,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).
% 6.93/7.08  >>>> Starting back demodulation with 179.
% 6.93/7.08  >>>> Starting back demodulation with 181.
% 6.93/7.08  >>>> Starting back demodulation with 183.
% 6.93/7.08      >> back demodulating 178 with 183.
% 6.93/7.08      >> back demodulating 24 with 183.
% 6.93/7.08  >>>> Starting back demodulation with 186.
% 6.93/7.08  >>>> Starting back demodulation with 188.
% 6.93/7.08  >>>> Starting back demodulation with 193.
% 6.93/7.08  >>>> Starting back demodulation with 197.
% 6.93/7.08  >>>> Starting back demodulation with 199.
% 6.93/7.08  >>>> Starting back demodulation with 201.
% 6.93/7.08  >>>> Starting back demodulation with 203.
% 6.93/7.08  >>>> Starting back demodulation with 206.
% 6.93/7.08  >>>> Starting back demodulation with 209.
% 6.93/7.08  >>>> Starting back demodulation with 212.
% 6.93/7.08  >>>> Starting back demodulation with 214.
% 6.93/7.08      >> back demodulating 129 with 214.
% 6.93/7.08      >> back demodulating 128 with 214.
% 6.93/7.08  ** KEPT (pick-wt=26): 231 [copy,215,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(A,B,C),c_Predicate_Oconversep(D,B,C),tc_fun(C,tc_fun(B,tc_bool)))=c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(B,tc_fun(C,tc_bool))),B,C).
% 6.93/7.08  ** KEPT (pick-wt=26): 232 [copy,216,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(A,B,C),c_Predicate_Oconversep(D,B,C),tc_fun(C,tc_fun(B,tc_bool)))=c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(B,tc_fun(C,tc_bool))),B,C).
% 6.93/7.08  >>>> Starting back demodulation with 219.
% 6.93/7.08    Following clause subsumed by 176 during input processing: 0 [copy,230,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).
% 6.93/7.08    Following clause subsumed by 215 during input processing: 0 [copy,231,flip.1] c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 6.93/7.08    Following clause subsumed by 216 during input processing: 0 [copy,232,flip.1] c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 6.93/7.08  
% 6.93/7.08  ======= end of input processing =======
% 6.93/7.08  
% 6.93/7.08  =========== start of search ===========
% 6.93/7.08  
% 6.93/7.08  
% 6.93/7.08  Resetting weight limit to 2.
% 6.93/7.08  
% 6.93/7.08  
% 6.93/7.08  Resetting weight limit to 2.
% 6.93/7.08  
% 6.93/7.08  sos_size=38
% 6.93/7.08  
% 6.93/7.08  Search stopped because sos empty.
% 6.93/7.08  
% 6.93/7.08  
% 6.93/7.08  Search stopped because sos empty.
% 6.93/7.08  
% 6.93/7.08  ============ end of search ============
% 6.93/7.08  
% 6.93/7.08  -------------- statistics -------------
% 6.93/7.08  clauses given                 39
% 6.93/7.08  clauses generated           4695
% 6.93/7.08  clauses kept                 210
% 6.93/7.08  clauses forward subsumed      26
% 6.93/7.08  clauses back subsumed          1
% 6.93/7.08  Kbytes malloced             5859
% 6.93/7.08  
% 6.93/7.08  ----------- times (seconds) -----------
% 6.93/7.08  user CPU time          0.09          (0 hr, 0 min, 0 sec)
% 6.93/7.08  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 6.93/7.08  wall-clock time        7             (0 hr, 0 min, 7 sec)
% 6.93/7.08  
% 6.93/7.08  Process 5907 finished Wed Jul 27 09:46:14 2022
% 6.93/7.08  Otter interrupted
% 6.93/7.08  PROOF NOT FOUND
%------------------------------------------------------------------------------