TSTP Solution File: LCL771-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL771-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 : Unsatisfiable 37.29s 37.37s
% Output : Refutation 37.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(247,axiom,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
file('LCL771-1.p',unknown),
[] ).
cnf(482,axiom,
c_List_Olistsp(A,c_List_Olist_ONil(B),B),
file('LCL771-1.p',unknown),
[] ).
cnf(483,plain,
$false,
inference(binary,[status(thm)],[482,247]),
[iquote('binary,482.1,247.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL771-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n015.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 09:24:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 37.25/37.34 ----- Otter 3.3f, August 2004 -----
% 37.25/37.34 The process was started by sandbox2 on n015.cluster.edu,
% 37.25/37.34 Wed Jul 27 09:24:27 2022
% 37.25/37.34 The command was "./otter". The process ID is 15569.
% 37.25/37.34
% 37.25/37.34 set(prolog_style_variables).
% 37.25/37.34 set(auto).
% 37.25/37.34 dependent: set(auto1).
% 37.25/37.34 dependent: set(process_input).
% 37.25/37.34 dependent: clear(print_kept).
% 37.25/37.34 dependent: clear(print_new_demod).
% 37.25/37.34 dependent: clear(print_back_demod).
% 37.25/37.34 dependent: clear(print_back_sub).
% 37.25/37.34 dependent: set(control_memory).
% 37.25/37.34 dependent: assign(max_mem, 12000).
% 37.25/37.34 dependent: assign(pick_given_ratio, 4).
% 37.25/37.34 dependent: assign(stats_level, 1).
% 37.25/37.34 dependent: assign(max_seconds, 10800).
% 37.25/37.34 clear(print_given).
% 37.25/37.34
% 37.25/37.34 list(usable).
% 37.25/37.34 0 [] A=A.
% 37.25/37.34 0 [] c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a))!=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))|c_List_Oremdups(V_xs,T_a)=V_xs.
% 37.25/37.34 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_m).
% 37.25/37.34 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(V_nat_H).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)).
% 37.25/37.34 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)).
% 37.25/37.34 0 [] c_List_Oreplicate(V_m,V_x,T_a)!=c_List_Oreplicate(V_n,V_y,T_a)|V_m=V_n.
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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)).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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))).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] -c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 37.25/37.34 0 [] -c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat).
% 37.25/37.34 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Orotate(c_Suc(V_n),V_xs,T_a)=c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a)=c_Transitive__Closure_Ortranclp(V_r,T_a).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Obutlast(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] -c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a).
% 37.25/37.34 0 [] -c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a).
% 37.25/37.34 0 [] c_List_Orotate1(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Orotate1(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Oremdups(V_xs,T_a)!=V_xs|c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 37.25/37.34 0 [] c_Nat_Osize__class_Osize(c_List_Omap(V_f,V_xs,T_b,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)).
% 37.25/37.34 0 [] c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a)=c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a).
% 37.25/37.34 0 [] c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a)=c_List_Oreplicate(V_n,V_x,T_a).
% 37.25/37.34 0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 37.25/37.34 0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Omap(V_f,V_ys,T_b,T_a)|c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b))=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)).
% 37.25/37.34 0 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a))=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a)=c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a)| -c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 37.25/37.34 0 [] c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a)=c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a)| -c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat).
% 37.25/37.34 0 [] c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a))=c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)).
% 37.25/37.34 0 [] c_List_Olist_ONil(T_a)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_nat).
% 37.25/37.34 0 [] -c_HOL_Oord__class_Oless(V_n,V_n,tc_nat).
% 37.25/37.34 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 37.25/37.34 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 37.25/37.34 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 37.25/37.34 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).
% 37.25/37.34 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.
% 37.25/37.34 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).
% 37.25/37.34 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.
% 37.25/37.34 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).
% 37.25/37.34 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.
% 37.25/37.34 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.
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a).
% 37.25/37.34 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a).
% 37.25/37.34 0 [] c_Suc(V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.34 0 [] c_Suc(V_m)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.34 0 [] c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat).
% 37.25/37.34 0 [] c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k)=V_t.
% 37.25/37.34 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 37.25/37.34 0 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a))=V_n.
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Suc(V_n)!=V_n.
% 37.25/37.34 0 [] V_n!=c_Suc(V_n).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a)=c_List_Orotate(V_n,c_List_Orotate1(V_xs,T_a),T_a).
% 37.25/37.34 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).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x)=c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)=V_x.
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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.
% 37.25/37.34 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).
% 37.25/37.34 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.
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)).
% 37.25/37.34 0 [] c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a)=c_List_Olist_OCons(V_y,V_xs,T_a).
% 37.25/37.34 0 [] c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a)=c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a).
% 37.25/37.34 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.
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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)).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))!=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))|c_Map_Omap__upds(V_m,c_List_Oappend(V_xs,V_zs,T_a),V_ys,T_a,T_b)=c_Map_Omap__upds(V_m,V_xs,V_ys,T_a,T_b).
% 37.25/37.34 0 [] c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))!=c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))|c_Map_Omap__upds(V_m,V_xs,c_List_Oappend(V_ys,V_zs,T_b),T_a,T_b)=c_Map_Omap__upds(V_m,V_xs,V_ys,T_a,T_b).
% 37.25/37.34 0 [] c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k)=c_Lambda_OdB_OVar(V_i)| -c_HOL_Oord__class_Oless(V_i,V_k,tc_nat).
% 37.25/37.34 0 [] c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k)=c_Lambda_OdB_OVar(V_i)| -c_HOL_Oord__class_Oless(V_i,V_k,tc_nat).
% 37.25/37.34 0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 37.25/37.34 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a).
% 37.25/37.34 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)).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_b).
% 37.25/37.34 0 [] V_xs=c_List_Olist_ONil(T_a)| -c_List_Onull(V_xs,T_a).
% 37.25/37.34 0 [] c_List_Olist_ONil(T_a)=c_List_Orev(c_List_Olist_ONil(T_a),T_a).
% 37.25/37.34 0 [] c_List_Olist_ONil(T_a)=c_List_Oremdups(c_List_Olist_ONil(T_a),T_a).
% 37.25/37.34 0 [] V_ys!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_ys|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] V_xs!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=V_xs|V_ys=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Oremdups(V_x,T_a)!=c_List_Olist_ONil(T_a)|V_x=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Orotate(V_n,V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Olist_ONil(T_a)!=c_List_Orev(V_xs,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Olist_ONil(T_a)!=c_List_Olist_OCons(V_a_H,V_list_H,T_a).
% 37.25/37.34 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_ys=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_ys=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Olist_ONil(T_a)!=c_List_Oappend(V_xs,V_ys,T_a)|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 37.25/37.34 0 [] c_List_Oremdups(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.34 0 [] c_List_Olist_ONil(T_a)!=c_List_Omap(V_f,V_xs,T_b,T_a)|V_xs=c_List_Olist_ONil(T_b).
% 37.25/37.34 0 [] V_ys=c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a).
% 37.25/37.34 0 [] c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)=V_ys.
% 37.25/37.34 0 [] V_xs=c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a).
% 37.25/37.34 0 [] V_x=c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a).
% 37.25/37.34 0 [] c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a)=V_xs.
% 37.25/37.34 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))).
% 37.25/37.34 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)).
% 37.25/37.34 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)))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(V_P),v_sko__List__Xconcat__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(V_P),v_sko__List__Xtake__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(V_P),v_sko__List__Xmap__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(V_P),v_sko__List__Xlist__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(V_P),v_sko__List__XdropWhile__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(V_P),v_sko__List__Xzip__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(V_P),v_sko__List__Xlistset__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(V_P),v_sko__List__Xremove1__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] hBOOL(hAPP(V_P,V_list))| -hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(V_P),v_sko__List__Xdistinct__Xinduct__2(V_P),t_a)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.34 0 [] c_Lambda_Osubstn(V_t,V_s,V_n)=c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n).
% 37.25/37.34 0 [] c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a)=c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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.
% 37.25/37.34 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.
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k)=c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k).
% 37.25/37.34 0 [] c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k)=c_Lambda_OdB_OVar(V_i)|V_i=V_k|c_HOL_Oord__class_Oless(V_k,V_i,tc_nat).
% 37.25/37.34 0 [] c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat))=c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)).
% 37.25/37.34 0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Omap(V_f,c_List_Olist__update(V_xs,V_k,V_y,T_b),T_b,T_a)=c_List_Olist__update(c_List_Omap(V_f,V_xs,T_b,T_a),V_k,hAPP(V_f,V_y),T_a).
% 37.25/37.34 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).
% 37.25/37.34 0 [] V_xs!=c_List_Olist_OCons(V_x,V_xs,T_a).
% 37.25/37.34 0 [] c_List_Olist_OCons(V_x,V_t,T_a)!=V_t.
% 37.25/37.34 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)).
% 37.25/37.34 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)))| -c_List_Olistsp(V_A,V_x,t_a).
% 37.25/37.34 0 [] c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k)=V_t.
% 37.25/37.34 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)))| -c_List_Olistsp(V_A,V_x,t_a).
% 37.25/37.34 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).
% 37.25/37.34 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(V_xs,T_a)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)=V_xs.
% 37.25/37.34 0 [] c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,T_b),T_a,T_b)=hAPP(hAPP(V_f2,V_a),V_list).
% 37.25/37.34 0 [] c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a)=c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a).
% 37.25/37.34 0 [] c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a)=c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a).
% 37.25/37.34 0 [] c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a)=c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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.
% 37.25/37.34 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_List_Oremdups(c_List_Ofilter(V_P,V_xs,T_a),T_a)=c_List_Ofilter(V_P,c_List_Oremdups(V_xs,T_a),T_a).
% 37.25/37.34 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)).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a)=hAPP(V_f3,V_dB).
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_List_Orev(c_List_Omap(V_f,V_xs,T_b,T_a),T_a)=c_List_Omap(V_f,c_List_Orev(V_xs,T_b),T_b,T_a).
% 37.25/37.34 0 [] c_List_Oappend(V_ys,V_xs,T_a)!=c_List_Oappend(V_zs,V_xs,T_a)|V_ys=V_zs.
% 37.25/37.34 0 [] c_List_Oappend(V_xs,V_ys,T_a)!=c_List_Oappend(V_xs,V_zs,T_a)|V_ys=V_zs.
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_List_Orotate(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a)=c_List_Omap(V_f,c_List_Orotate(V_n,V_xs,T_b),T_b,T_a).
% 37.25/37.34 0 [] V_xs=c_List_Orev(c_List_Orev(V_xs,T_a),T_a).
% 37.25/37.34 0 [] c_List_Orev(c_List_Orev(V_ys,T_a),T_a)=V_ys.
% 37.25/37.34 0 [] c_List_Orev(c_List_Orev(V_xs,T_a),T_a)=V_xs.
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)| -hBOOL(hAPP(V_P,V_x)).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)| -c_List_Olist__ex(V_P,V_xs,T_a).
% 37.25/37.34 0 [] c_List_Olist__ex(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x))| -c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 37.25/37.34 0 [] c_List_Olistrelp(V_r,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)| -c_List_Olistrelp(V_r,V_xs,V_ys,T_a)| -hBOOL(hAPP(hAPP(V_r,V_x),V_y)).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 37.25/37.34 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 37.25/37.34 0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 37.25/37.34 0 [] c_List_Oremove1(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a)=c_List_Olist_OCons(V_y,c_List_Oremove1(V_x,V_xs,T_a),T_a)|V_x=V_y.
% 37.25/37.34 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)).
% 37.25/37.34 0 [] c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a)=c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a).
% 37.25/37.34 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)| -c_List_Olistsp(V_A,V_a,t_a).
% 37.25/37.34 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.
% 37.25/37.34 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.
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_List_Oremove1(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a)=c_List_Ofilter(V_P,V_xs,T_a)|hBOOL(hAPP(V_P,V_x)).
% 37.25/37.34 0 [] c_List_Olist_Olist__rec(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,T_b),T_a,T_b)=hAPP(hAPP(hAPP(V_f2,V_a),V_list),c_List_Olist_Olist__rec(V_f1,V_f2,V_list,T_a,T_b)).
% 37.25/37.34 0 [] c_List_Orev(V_xs,T_a)!=c_List_Orev(V_ys,T_a)|V_xs=V_ys.
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a)=hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)).
% 37.25/37.34 0 [] -c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a),T_a).
% 37.25/37.34 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).
% 37.25/37.34 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).
% 37.25/37.34 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 37.25/37.34 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)).
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))).
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))).
% 37.25/37.35 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).
% 37.25/37.35 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 37.25/37.35 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 37.25/37.35 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.
% 37.25/37.35 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.
% 37.25/37.35 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).
% 37.25/37.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(V_xs,T_a)| -c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 37.25/37.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(V_ys,T_a)| -c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 37.25/37.35 0 [] c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a)=c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)|V_i=V_i_H.
% 37.25/37.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Oremdups(V_l,T_a),T_a)| -c_List_Olinorder__class_Osorted(V_l,T_a).
% 37.25/37.35 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)).
% 37.25/37.35 0 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 37.25/37.35 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).
% 37.25/37.35 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.
% 37.25/37.35 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.
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,t_b),t_a,t_b)))|hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_a),V_list))).
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_xa,V_xb,t_b),t_a,t_b)))|hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))).
% 37.25/37.35 0 [] c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a)=c_List_Olist__update(V_xs,V_i,V_y,T_a).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a,V_xs,T_a),T_a)| -c_List_Olinorder__class_Osorted(V_xs,T_a).
% 37.25/37.35 0 [] -c_List_Olist__ex(V_P,c_List_Olist_ONil(T_a),T_a).
% 37.25/37.35 0 [] c_List_Onull(c_List_Olist_ONil(T_a),T_a).
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(t_b),t_a,t_b)))|hBOOL(hAPP(V_P,V_f1)).
% 37.25/37.35 0 [] c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a)=V_a.
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__Xzip__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Osublist(c_List_Olist_ONil(T_a),V_A,T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__Xlistset__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] c_List_Olist_Olist__rec(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b)=V_f1.
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__XdropWhile__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__Xtake__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] -class_Orderings_Olinorder(T_a)|c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a).
% 37.25/37.35 0 [] c_List_Ofiltermap(V_f,c_List_Olist_ONil(T_b),T_b,T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Olist_ONil(T_a)!=c_List_Oremdups(V_x,T_a)|V_x=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__Xconcat__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] c_List_Olist_OCons(V_x,V_xa,T_a)!=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Olist_OCons(V_a_H,V_list_H,T_a)!=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__Xdistinct__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] c_Map_Omap__upds(V_m,V_as,c_List_Olist_ONil(T_b),T_a,T_b)=V_m.
% 37.25/37.35 0 [] c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b)=V_m.
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__Xremove1__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b)=V_f1.
% 37.25/37.35 0 [] c_List_Orev(V_xs,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__Xlist__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] c_List_Olist_ONil(T_a)=c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a).
% 37.25/37.35 0 [] c_List_Olist_ONil(T_a)=c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 37.25/37.35 0 [] c_List_Olistrelp(V_r,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a).
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_list))|hBOOL(hAPP(V_P,v_sko__List__Xmap__Xinduct__2(V_P)))| -hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))).
% 37.25/37.35 0 [] c_List_Orev(c_List_Olist_ONil(T_a),T_a)=c_List_Olist_ONil(T_a).
% 37.25/37.35 0 [] c_List_Olist__update(V_xs,V_k,V_x,T_a)!=c_List_Olist_ONil(T_a)|V_xs=c_List_Olist_ONil(T_a).
% 37.25/37.35 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)).
% 37.25/37.35 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 37.25/37.35 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))).
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))).
% 37.25/37.35 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)).
% 37.25/37.35 0 [] c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a)=hAPP(hAPP(V_f2,V_dB1),V_dB2).
% 37.25/37.35 0 [] c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a)=hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)).
% 37.25/37.35 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.
% 37.25/37.35 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)).
% 37.25/37.35 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)).
% 37.25/37.35 0 [] c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)).
% 37.25/37.35 0 [] c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))).
% 37.25/37.35 0 [] -hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))).
% 37.25/37.35 0 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k)=V_u.
% 37.25/37.35 0 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)).
% 37.25/37.35 0 [] c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a)=hAPP(V_f1,V_nat).
% 37.25/37.35 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 37.25/37.35 0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 37.25/37.35 0 [] c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a)=hAPP(V_f1,V_nat).
% 37.25/37.35 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 0 [] c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)| -c_List_Olistsp(V_A,V_ys,T_a)| -c_List_Olistsp(V_A,V_xs,T_a).
% 37.25/37.35 0 [] c_List_Olistsp(V_A,V_xs,T_a)| -hBOOL(hAPP(V_A,c_List_Osko__List__Xin__listsp__conv__set__1__1(V_A,V_xs,T_a))).
% 37.25/37.35 0 [] c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_l,T_a)| -c_List_Olistsp(V_B,V_l,T_a)| -c_List_Olistsp(V_A,V_l,T_a).
% 37.25/37.35 0 [] c_List_Olistsp(V_A,V_ys,T_a)| -c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 37.25/37.35 0 [] c_List_Olistsp(V_A,V_xs,T_a)| -c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a).
% 37.25/37.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 37.25/37.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 37.25/37.35 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.
% 37.25/37.35 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.
% 37.25/37.35 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.
% 37.25/37.35 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)))| -c_List_Olistsp(V_A,V_x,t_a).
% 37.25/37.35 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)))| -c_List_Olistsp(V_A,V_x,t_a).
% 37.25/37.35 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)))| -c_List_Olistsp(V_A,V_x,t_a).
% 37.25/37.35 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)))| -c_List_Olistsp(V_A,V_x,t_a).
% 37.25/37.35 0 [] 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)| -c_List_Olistsp(V_A,V_a,t_a).
% 37.25/37.35 0 [] hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xcases__1(V_A,V_a)))|V_a=c_List_Olist_ONil(t_a)| -c_List_Olistsp(V_A,V_a,t_a).
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_x))|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)))| -c_List_Olistsp(V_A,V_x,t_a).
% 37.25/37.35 0 [] hBOOL(hAPP(V_P,V_x))|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)))| -c_List_Olistsp(V_A,V_x,t_a).
% 37.25/37.35 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).
% 37.25/37.35 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.
% 37.25/37.35 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)).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 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).
% 37.25/37.35 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 37.25/37.35 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.
% 37.25/37.35 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.
% 37.25/37.35 0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 37.25/37.35 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 37.25/37.35 0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 37.25/37.35 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 37.25/37.35 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).
% 37.25/37.35 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 37.25/37.35 0 [] c_List_Olistsp(c_InductTermi_OIT,v_rs,tc_Lambda_OdB).
% 37.25/37.35 0 [] c_List_Olistsp(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),v_rs,tc_Lambda_OdB).
% 37.25/37.35 0 [] -c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB).
% 37.25/37.35 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 37.25/37.35 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 37.25/37.35 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 37.25/37.35 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 37.25/37.35 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 37.25/37.35 0 [] class_Orderings_Opreorder(tc_nat).
% 37.25/37.35 0 [] class_Orderings_Olinorder(tc_nat).
% 37.25/37.35 0 [] class_Lattices_Olattice(tc_nat).
% 37.25/37.35 0 [] class_Orderings_Oorder(tc_nat).
% 37.25/37.35 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 37.25/37.35 0 [] class_Orderings_Opreorder(tc_bool).
% 37.25/37.35 0 [] class_Lattices_Olattice(tc_bool).
% 37.25/37.35 0 [] class_Orderings_Oorder(tc_bool).
% 37.25/37.35 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).
% 37.25/37.35 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 37.25/37.35 0 [] c_fe_qual(V_x,V_x,T_a).
% 37.25/37.35 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 37.25/37.35 end_of_list.
% 37.25/37.35
% 37.25/37.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 37.25/37.35
% 37.25/37.35 This ia a non-Horn set with equality. The strategy will be
% 37.25/37.35 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 37.25/37.35 deletion, with positive clauses in sos and nonpositive
% 37.25/37.35 clauses in usable.
% 37.25/37.35
% 37.25/37.35 dependent: set(knuth_bendix).
% 37.25/37.35 dependent: set(anl_eq).
% 37.25/37.35 dependent: set(para_from).
% 37.25/37.35 dependent: set(para_into).
% 37.25/37.35 dependent: clear(para_from_right).
% 37.25/37.35 dependent: clear(para_into_right).
% 37.25/37.35 dependent: set(para_from_vars).
% 37.25/37.35 dependent: set(eq_units_both_ways).
% 37.25/37.35 dependent: set(dynamic_demod_all).
% 37.25/37.35 dependent: set(dynamic_demod).
% 37.25/37.35 dependent: set(order_eq).
% 37.25/37.35 dependent: set(back_demod).
% 37.25/37.35 dependent: set(lrpo).
% 37.25/37.35 dependent: set(hyper_res).
% 37.25/37.35 dependent: set(unit_deletion).
% 37.25/37.35 dependent: set(factor).
% 37.25/37.35
% 37.25/37.35 ------------> process usable:
% 37.25/37.35 ** KEPT (pick-wt=16): 1 [] c_Nat_Osize__class_Osize(c_List_Oremdups(A,B),tc_List_Olist(B))!=c_Nat_Osize__class_Osize(A,tc_List_Olist(B))|c_List_Oremdups(A,B)=A.
% 37.25/37.35 ** KEPT (pick-wt=5): 3 [copy,2,flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.35 Following clause subsumed by 3 during input processing: 0 [flip.1] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=24): 4 [] 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)).
% 37.25/37.35 ** KEPT (pick-wt=12): 5 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|A=D.
% 37.25/37.35 ** KEPT (pick-wt=17): 6 [] -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).
% 37.25/37.35 ** KEPT (pick-wt=17): 7 [] A=B|C=D| -c_ListOrder_Ostep1(E,c_List_Olist_OCons(B,D,F),c_List_Olist_OCons(A,C,F),F).
% 37.25/37.35 ** KEPT (pick-wt=10): 8 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=16): 9 [] c_ListOrder_Ostep1(A,c_List_Oappend(B,C,D),c_List_Oappend(B,E,D),D)| -c_ListOrder_Ostep1(A,C,E,D).
% 37.25/37.35 ** KEPT (pick-wt=16): 10 [] -c_ListOrder_Ostep1(A,B,C,D)|c_ListOrder_Ostep1(A,c_List_Oappend(B,E,D),c_List_Oappend(C,E,D),D).
% 37.25/37.35 ** KEPT (pick-wt=14): 11 [] -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).
% 37.25/37.35 ** KEPT (pick-wt=14): 12 [] -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).
% 37.25/37.35 ** KEPT (pick-wt=5): 13 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 37.25/37.35 Following clause subsumed by 13 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=13): 14 [] c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat)|c_Suc(A)=B| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=20): 15 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=9): 16 [] -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=16): 17 [] c_List_Oreplicate(A,B,C)!=c_List_Oreplicate(D,E,C)|B=E|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=9): 18 [] -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).
% 37.25/37.35 ** KEPT (pick-wt=10): 19 [] c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=10): 20 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat).
% 37.25/37.35 Following clause subsumed by 19 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).
% 37.25/37.35 ** KEPT (pick-wt=6): 21 [] -c_ListOrder_Ostep1(A,B,c_List_Olist_ONil(C),C).
% 37.25/37.35 ** KEPT (pick-wt=6): 22 [] -c_ListOrder_Ostep1(A,c_List_Olist_ONil(B),C,B).
% 37.25/37.35 ** KEPT (pick-wt=10): 23 [] c_List_Orotate1(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 37.25/37.35 ** KEPT (pick-wt=16): 24 [] c_List_Oremdups(A,B)!=A|c_Nat_Osize__class_Osize(c_List_Oremdups(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 37.25/37.35 ** KEPT (pick-wt=8): 25 [] c_Suc(A)!=c_Suc(B)|A=B.
% 37.25/37.35 Following clause subsumed by 25 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 37.25/37.35 ** KEPT (pick-wt=14): 26 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,C),D)).
% 37.25/37.35 ** KEPT (pick-wt=16): 27 [] c_List_Ofilter(A,c_List_Oreplicate(B,C,D),D)=c_List_Oreplicate(B,C,D)| -hBOOL(hAPP(A,C)).
% 37.25/37.35 ** KEPT (pick-wt=20): 28 [] c_List_Omap(A,B,C,D)!=c_List_Omap(A,E,C,D)|c_Nat_Osize__class_Osize(B,tc_List_Olist(C))=c_Nat_Osize__class_Osize(E,tc_List_Olist(C)).
% 37.25/37.35 ** KEPT (pick-wt=12): 29 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=12): 30 [] A=B| -c_HOL_Oord__class_Oless(B,c_Suc(A),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 37.25/37.35 Following clause subsumed by 29 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).
% 37.25/37.35 ** KEPT (pick-wt=24): 32 [copy,31,flip.1] c_List_Oappend(c_List_Olist__update(A,B,C,D),E,D)=c_List_Olist__update(c_List_Oappend(A,E,D),B,C,D)| -c_HOL_Oord__class_Oless(B,c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),tc_nat).
% 37.25/37.35 Following clause subsumed by 32 during input processing: 0 [flip.1] c_List_Oappend(c_List_Olist__update(A,D,E,C),B,C)=c_List_Olist__update(c_List_Oappend(A,B,C),D,E,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=4): 33 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 37.25/37.35 Following clause subsumed by 33 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=6): 34 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 37.25/37.35 ** KEPT (pick-wt=6): 35 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 37.25/37.35 ** KEPT (pick-wt=6): 36 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 37.25/37.35 ** KEPT (pick-wt=19): 37 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=13): 38 [] -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.
% 37.25/37.35 ** KEPT (pick-wt=13): 39 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 37.25/37.35 Following clause subsumed by 39 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.
% 37.25/37.35 Following clause subsumed by 39 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).
% 37.25/37.35 Following clause subsumed by 39 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).
% 37.25/37.35 ** KEPT (pick-wt=13): 40 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 37.25/37.35 ** KEPT (pick-wt=13): 41 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 37.25/37.35 Following clause subsumed by 3 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.35 Following clause subsumed by 3 during input processing: 0 [] c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=13): 42 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=11): 43 [] c_List_Oreplicate(A,B,C)!=c_List_Olist_ONil(C)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.35 Following clause subsumed by 33 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).
% 37.25/37.35 ** KEPT (pick-wt=11): 44 [] c_List_Olist_ONil(A)!=c_List_Oreplicate(B,C,A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=11): 45 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_List_Olist_ONil(B).
% 37.25/37.35 ** KEPT (pick-wt=4): 46 [] c_Suc(A)!=A.
% 37.25/37.35 Following clause subsumed by 46 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 37.25/37.35 ** KEPT (pick-wt=22): 47 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=16): 48 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=9): 49 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Suc(A),B,tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=9): 50 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=10): 51 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 37.25/37.35 ** KEPT (pick-wt=22): 52 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 37.25/37.35 ** KEPT (pick-wt=22): 53 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 37.25/37.35 ** KEPT (pick-wt=10): 54 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 37.25/37.35 ** KEPT (pick-wt=10): 55 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 37.25/37.35 Following clause subsumed by 55 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 37.25/37.35 ** KEPT (pick-wt=35): 57 [copy,56,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).
% 37.25/37.35 ** KEPT (pick-wt=26): 58 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=26): 59 [] 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.
% 37.25/37.35 ** KEPT (pick-wt=26): 61 [copy,60,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).
% 37.25/37.35 ** KEPT (pick-wt=26): 63 [copy,62,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.
% 37.25/37.35 ** KEPT (pick-wt=32): 64 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),D)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 37.25/37.35 ** KEPT (pick-wt=24): 65 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 37.25/37.35 ** KEPT (pick-wt=24): 66 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),C)).
% 37.25/37.35 ** KEPT (pick-wt=18): 67 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),B)).
% 37.25/37.35 ** KEPT (pick-wt=20): 68 [] 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)).
% 37.25/37.35 ** KEPT (pick-wt=22): 69 [] 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)).
% 37.25/37.35 ** KEPT (pick-wt=22): 70 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(A,D,C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D)).
% 37.25/37.35 ** KEPT (pick-wt=20): 71 [] c_ListOrder_Ostep1(c_Lambda_Obeta,A,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(B,A,C),tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(B),A,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 37.25/37.35 ** KEPT (pick-wt=12): 72 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,C)=c_Lambda_OdB_OVar(A)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=16): 73 [] 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)).
% 37.25/37.35 ** KEPT (pick-wt=20): 74 [] 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)).
% 37.25/37.35 ** KEPT (pick-wt=25): 75 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(C,tc_List_Olist(D))|c_Map_Omap__upds(E,c_List_Oappend(A,F,B),C,B,D)=c_Map_Omap__upds(E,A,C,B,D).
% 37.25/37.35 ** KEPT (pick-wt=25): 76 [] c_Nat_Osize__class_Osize(A,tc_List_Olist(B))!=c_Nat_Osize__class_Osize(C,tc_List_Olist(D))|c_Map_Omap__upds(E,A,c_List_Oappend(C,F,D),B,D)=c_Map_Omap__upds(E,A,C,B,D).
% 37.25/37.35 ** KEPT (pick-wt=11): 77 [] c_Lambda_Olift(c_Lambda_OdB_OVar(A),B)=c_Lambda_OdB_OVar(A)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=12): 78 [] c_Lambda_Oliftn(A,c_Lambda_OdB_OVar(B),C)=c_Lambda_OdB_OVar(B)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 37.25/37.35 ** KEPT (pick-wt=13): 79 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 37.25/37.35 ** KEPT (pick-wt=9): 80 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_ONil(A),A),A).
% 37.25/37.35 ** KEPT (pick-wt=14): 81 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),B)).
% 37.25/37.35 ** KEPT (pick-wt=12): 82 [] c_List_Omap(A,B,C,D)!=c_List_Olist_ONil(D)|B=c_List_Olist_ONil(C).
% 37.25/37.35 ** KEPT (pick-wt=7): 83 [] A=c_List_Olist_ONil(B)| -c_List_Onull(A,B).
% 37.25/37.35 ** KEPT (pick-wt=10): 85 [copy,84,flip.1] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 37.25/37.35 Following clause subsumed by 85 during input processing: 0 [] c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 37.25/37.35 ** KEPT (pick-wt=10): 87 [copy,86,flip.1] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 37.25/37.35 Following clause subsumed by 87 during input processing: 0 [] c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 37.25/37.35 ** KEPT (pick-wt=10): 88 [] c_List_Oremdups(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 37.25/37.35 ** KEPT (pick-wt=11): 89 [] c_List_Orotate(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 37.25/37.35 ** KEPT (pick-wt=10): 90 [] c_List_Olist_ONil(A)!=c_List_Orev(B,A)|B=c_List_Olist_ONil(A).
% 37.25/37.35 ** KEPT (pick-wt=7): 91 [] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 37.25/37.35 ** KEPT (pick-wt=11): 92 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|B=c_List_Olist_ONil(C).
% 37.25/37.35 ** KEPT (pick-wt=11): 93 [] c_List_Oappend(A,B,C)!=c_List_Olist_ONil(C)|A=c_List_Olist_ONil(C).
% 37.25/37.35 ** KEPT (pick-wt=11): 94 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|C=c_List_Olist_ONil(A).
% 37.25/37.35 ** KEPT (pick-wt=11): 95 [] c_List_Olist_ONil(A)!=c_List_Oappend(B,C,A)|B=c_List_Olist_ONil(A).
% 37.25/37.35 ** KEPT (pick-wt=12): 96 [] c_List_Olist_ONil(A)!=c_List_Omap(B,C,D,A)|C=c_List_Olist_ONil(D).
% 37.25/37.35 ** KEPT (pick-wt=31): 97 [] 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))).
% 37.25/37.35 ** KEPT (pick-wt=24): 99 [copy,98,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)).
% 37.25/37.35 ** KEPT (pick-wt=18): 100 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(A),v_sko__List__Xconcat__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=18): 101 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(A),v_sko__List__Xtake__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=18): 102 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(A),v_sko__List__Xmap__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=18): 103 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(A),v_sko__List__Xlist__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=18): 104 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(A),v_sko__List__XdropWhile__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=18): 105 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(A),v_sko__List__Xzip__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=18): 106 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(A),v_sko__List__Xlistset__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=18): 107 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(A),v_sko__List__Xremove1__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=18): 108 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(A),v_sko__List__Xdistinct__Xinduct__2(A),t_a)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.35 ** KEPT (pick-wt=26): 109 [] 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)).
% 37.25/37.35 ** KEPT (pick-wt=21): 110 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,A,C,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_ListOrder_Ostep1(c_Lambda_Obeta,B,C,tc_Lambda_OdB).
% 37.25/37.35 ** KEPT (pick-wt=29): 111 [] -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).
% 37.25/37.35 ** KEPT (pick-wt=29): 112 [] -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).
% 37.25/37.35 ** KEPT (pick-wt=24): 114 [copy,113,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).
% 37.25/37.35 ** KEPT (pick-wt=24): 116 [copy,115,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).
% 37.25/37.35 ** KEPT (pick-wt=25): 117 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=28): 118 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=24): 119 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=24): 120 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=30): 121 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=27): 122 [] 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).
% 37.25/37.35 ** KEPT (pick-wt=30): 124 [copy,123,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).
% 37.25/37.35 ** KEPT (pick-wt=13): 125 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 37.25/37.35 ** KEPT (pick-wt=6): 127 [copy,126,flip.1] c_List_Olist_OCons(A,B,C)!=B.
% 37.25/37.35 Following clause subsumed by 127 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=B.
% 37.25/37.35 ** KEPT (pick-wt=16): 128 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 37.25/37.35 ** KEPT (pick-wt=24): 129 [] 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)))| -c_List_Olistsp(C,B,t_a).
% 37.25/37.35 ** KEPT (pick-wt=24): 130 [] 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)))| -c_List_Olistsp(C,B,t_a).
% 37.25/37.35 ** KEPT (pick-wt=11): 131 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,B,A),A).
% 37.25/37.35 ** KEPT (pick-wt=13): 132 [] 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.
% 37.25/37.35 Following clause subsumed by 131 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,A),A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(D,c_List_Olist_OCons(B,C,A),A),A).
% 37.25/37.35 ** KEPT (pick-wt=11): 133 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 37.25/37.36 ** KEPT (pick-wt=11): 134 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 37.25/37.36 ** KEPT (pick-wt=20): 135 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=13): 136 [] c_List_Olist_OCons(A,B,C)!=c_List_Ofilter(D,E,C)|hBOOL(hAPP(D,A)).
% 37.25/37.36 ** KEPT (pick-wt=19): 138 [copy,137,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)).
% 37.25/37.36 ** KEPT (pick-wt=16): 139 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=18): 140 [] 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)).
% 37.25/37.36 ** KEPT (pick-wt=12): 141 [] c_List_Oappend(A,B,C)!=c_List_Oappend(D,B,C)|A=D.
% 37.25/37.36 ** KEPT (pick-wt=12): 142 [] c_List_Oappend(A,B,C)!=c_List_Oappend(A,D,C)|B=D.
% 37.25/37.36 ** KEPT (pick-wt=13): 143 [] c_List_Ofilter(A,B,C)!=c_List_Olist_OCons(D,E,C)|hBOOL(hAPP(A,D)).
% 37.25/37.36 ** KEPT (pick-wt=11): 144 [] c_List_Olist__ex(A,c_List_Olist_OCons(B,C,D),D)| -hBOOL(hAPP(A,B)).
% 37.25/37.36 ** KEPT (pick-wt=16): 145 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=11): 146 [] c_List_Olist__ex(A,c_List_Olist_OCons(B,C,D),D)| -c_List_Olist__ex(A,C,D).
% 37.25/37.36 ** KEPT (pick-wt=15): 147 [] c_List_Olist__ex(A,B,C)|hBOOL(hAPP(A,D))| -c_List_Olist__ex(A,c_List_Olist_OCons(D,B,C),C).
% 37.25/37.36 ** KEPT (pick-wt=22): 148 [] c_List_Olistrelp(A,c_List_Olist_OCons(B,C,D),c_List_Olist_OCons(E,F,D),D)| -c_List_Olistrelp(A,C,F,D)| -hBOOL(hAPP(hAPP(A,B),E)).
% 37.25/37.36 ** KEPT (pick-wt=17): 149 [] -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).
% 37.25/37.36 ** KEPT (pick-wt=17): 150 [] -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).
% 37.25/37.36 ** KEPT (pick-wt=17): 151 [] -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).
% 37.25/37.36 ** KEPT (pick-wt=17): 152 [] -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).
% 37.25/37.36 ** KEPT (pick-wt=8): 153 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 37.25/37.36 ** KEPT (pick-wt=22): 154 [] 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)).
% 37.25/37.36 ** KEPT (pick-wt=18): 156 [copy,155,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)| -c_List_Olistsp(A,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=18): 157 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=18): 158 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=13): 159 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=10): 160 [] c_List_Orev(A,B)!=c_List_Orev(C,B)|A=C.
% 37.25/37.36 ** KEPT (pick-wt=6): 161 [] -c_List_Onull(c_List_Olist_OCons(A,B,C),C).
% 37.25/37.36 ** KEPT (pick-wt=14): 162 [] -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).
% 37.25/37.36 ** KEPT (pick-wt=14): 163 [] -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).
% 37.25/37.36 ** KEPT (pick-wt=16): 164 [] -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OAbs(E),t_a)))|hBOOL(hAPP(A,hAPP(D,E))).
% 37.25/37.36 Following clause subsumed by 164 during input processing: 0 [] -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OAbs(E),t_a)))|hBOOL(hAPP(A,hAPP(D,E))).
% 37.25/37.36 ** KEPT (pick-wt=8): 165 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 37.25/37.36 ** KEPT (pick-wt=12): 166 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|A=D.
% 37.25/37.36 ** KEPT (pick-wt=12): 167 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_OCons(D,E,C)|B=E.
% 37.25/37.36 ** KEPT (pick-wt=14): 168 [] c_Type_Otyping(A,B,C)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,D),B))| -c_Type_Otyping(A,D,C).
% 37.25/37.36 ** KEPT (pick-wt=11): 169 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Oappend(B,C,A),A).
% 37.25/37.36 ** KEPT (pick-wt=11): 170 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(B,A)| -c_List_Olinorder__class_Osorted(c_List_Oappend(C,B,A),A).
% 37.25/37.36 ** KEPT (pick-wt=10): 171 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Oremdups(B,A),A)| -c_List_Olinorder__class_Osorted(B,A).
% 37.25/37.36 ** KEPT (pick-wt=17): 172 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 37.25/37.36 ** KEPT (pick-wt=20): 173 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=20): 174 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=20): 175 [] -hBOOL(hAPP(A,c_List_Olist_Olist__case(B,C,c_List_Olist_OCons(D,E,t_b),t_a,t_b)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 37.25/37.36 Following clause subsumed by 175 during input processing: 0 [] -hBOOL(hAPP(A,c_List_Olist_Olist__case(B,C,c_List_Olist_OCons(D,E,t_b),t_a,t_b)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 37.25/37.36 ** KEPT (pick-wt=11): 176 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Oremove1(B,C,A),A)| -c_List_Olinorder__class_Osorted(C,A).
% 37.25/37.36 ** KEPT (pick-wt=5): 177 [] -c_List_Olist__ex(A,c_List_Olist_ONil(B),B).
% 37.25/37.36 ** KEPT (pick-wt=14): 178 [] -hBOOL(hAPP(A,c_List_Olist_Olist__case(B,C,c_List_Olist_ONil(t_b),t_a,t_b)))|hBOOL(hAPP(A,B)).
% 37.25/37.36 ** KEPT (pick-wt=10): 180 [copy,179,factor_simp] hBOOL(hAPP(A,v_sko__List__Xzip__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=10): 182 [copy,181,factor_simp] hBOOL(hAPP(A,v_sko__List__Xlistset__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=10): 184 [copy,183,factor_simp] hBOOL(hAPP(A,v_sko__List__XdropWhile__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=10): 186 [copy,185,factor_simp] hBOOL(hAPP(A,v_sko__List__Xtake__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=6): 187 [] -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_ONil(A),A).
% 37.25/37.36 ** KEPT (pick-wt=10): 188 [] c_List_Olist_ONil(A)!=c_List_Oremdups(B,A)|B=c_List_Olist_ONil(A).
% 37.25/37.36 ** KEPT (pick-wt=10): 190 [copy,189,factor_simp] hBOOL(hAPP(A,v_sko__List__Xconcat__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=7): 191 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 37.25/37.36 Following clause subsumed by 191 during input processing: 0 [] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 37.25/37.36 ** KEPT (pick-wt=10): 193 [copy,192,factor_simp] hBOOL(hAPP(A,v_sko__List__Xdistinct__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=10): 195 [copy,194,factor_simp] hBOOL(hAPP(A,v_sko__List__Xremove1__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=10): 196 [] c_List_Orev(A,B)!=c_List_Olist_ONil(B)|A=c_List_Olist_ONil(B).
% 37.25/37.36 ** KEPT (pick-wt=10): 198 [copy,197,factor_simp] hBOOL(hAPP(A,v_sko__List__Xlist__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=10): 200 [copy,199,factor_simp] hBOOL(hAPP(A,v_sko__List__Xmap__Xinduct__2(A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a))).
% 37.25/37.36 ** KEPT (pick-wt=12): 201 [] c_List_Olist__update(A,B,C,D)!=c_List_Olist_ONil(D)|A=c_List_Olist_ONil(D).
% 37.25/37.36 ** KEPT (pick-wt=8): 202 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 37.25/37.36 ** KEPT (pick-wt=8): 203 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 37.25/37.36 ** KEPT (pick-wt=21): 204 [] -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,hAPP(hAPP(c_Lambda_OdB_OApp,E),F),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,E),F))).
% 37.25/37.36 Following clause subsumed by 204 during input processing: 0 [] -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,hAPP(hAPP(c_Lambda_OdB_OApp,E),F),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,E),F))).
% 37.25/37.36 ** KEPT (pick-wt=16): 205 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=20): 206 [] 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)).
% 37.25/37.36 ** KEPT (pick-wt=20): 207 [] 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)).
% 37.25/37.36 ** KEPT (pick-wt=23): 208 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=15): 209 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=14): 210 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=5): 211 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 37.25/37.36 ** KEPT (pick-wt=16): 212 [] -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OVar(E),t_a)))|hBOOL(hAPP(A,hAPP(B,E))).
% 37.25/37.36 Following clause subsumed by 212 during input processing: 0 [] -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OVar(E),t_a)))|hBOOL(hAPP(A,hAPP(B,E))).
% 37.25/37.36 ** KEPT (pick-wt=7): 213 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(A)),B)).
% 37.25/37.36 ** KEPT (pick-wt=5): 214 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 37.25/37.36 ** KEPT (pick-wt=10): 215 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 37.25/37.36 ** KEPT (pick-wt=13): 216 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=28): 218 [copy,217,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).
% 37.25/37.36 ** KEPT (pick-wt=13): 219 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=15): 220 [] c_List_Olistsp(A,c_List_Oappend(B,C,D),D)| -c_List_Olistsp(A,C,D)| -c_List_Olistsp(A,B,D).
% 37.25/37.36 ** KEPT (pick-wt=11): 221 [] c_List_Olistsp(A,B,C)| -hBOOL(hAPP(A,c_List_Osko__List__Xin__listsp__conv__set__1__1(A,B,C))).
% 37.25/37.36 ** KEPT (pick-wt=17): 222 [] c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,C)| -c_List_Olistsp(B,D,C)| -c_List_Olistsp(A,D,C).
% 37.25/37.36 ** KEPT (pick-wt=11): 223 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(D,B,C),C).
% 37.25/37.36 ** KEPT (pick-wt=11): 224 [] c_List_Olistsp(A,B,C)| -c_List_Olistsp(A,c_List_Oappend(B,D,C),C).
% 37.25/37.36 ** KEPT (pick-wt=10): 225 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(A,B)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 37.25/37.36 ** KEPT (pick-wt=9): 226 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 37.25/37.36 ** KEPT (pick-wt=18): 227 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=18): 228 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=13): 229 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=19): 230 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,v_sko__List__Xlistsp__Xinducts__1(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -c_List_Olistsp(C,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=19): 231 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,v_sko__List__Xlistsp__Xinducts__2(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -c_List_Olistsp(C,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=19): 232 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,v_sko__List__Xlistsp__Xinduct__1(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -c_List_Olistsp(C,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=19): 233 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,v_sko__List__Xlistsp__Xinduct__2(C,A)))| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -c_List_Olistsp(C,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=14): 234 [] c_List_Olistsp(A,v_sko__List__Xlistsp__Xcases__2(A,B),t_a)|B=c_List_Olist_ONil(t_a)| -c_List_Olistsp(A,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=14): 235 [] hBOOL(hAPP(A,v_sko__List__Xlistsp__Xcases__1(A,B)))|B=c_List_Olist_ONil(t_a)| -c_List_Olistsp(A,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=19): 236 [] hBOOL(hAPP(A,B))|c_List_Olistsp(C,v_sko__List__Xlistsp__Xinducts__2(C,A),t_a)| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -c_List_Olistsp(C,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=19): 237 [] hBOOL(hAPP(A,B))|c_List_Olistsp(C,v_sko__List__Xlistsp__Xinduct__2(C,A),t_a)| -hBOOL(hAPP(A,c_List_Olist_ONil(t_a)))| -c_List_Olistsp(C,B,t_a).
% 37.25/37.36 ** KEPT (pick-wt=20): 238 [] 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.
% 37.25/37.36 ** KEPT (pick-wt=12): 239 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(A,c_Lambda_OdB_OVar(B),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 37.25/37.36 ** KEPT (pick-wt=13): 240 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=14): 241 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=8): 242 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 37.25/37.36 ** KEPT (pick-wt=14): 243 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 37.25/37.36 ** KEPT (pick-wt=14): 244 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 37.25/37.36 ** KEPT (pick-wt=8): 245 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 37.25/37.36 ** KEPT (pick-wt=8): 246 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 37.25/37.36 ** KEPT (pick-wt=5): 247 [] -c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB).
% 37.25/37.36 ** KEPT (pick-wt=6): 248 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 37.25/37.36 ** KEPT (pick-wt=6): 249 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 37.25/37.36 ** KEPT (pick-wt=6): 250 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 37.25/37.36 ** KEPT (pick-wt=6): 251 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 37.25/37.36 ** KEPT (pick-wt=7): 252 [] A=B| -c_fe_qual(A,B,C).
% 37.25/37.36 Following clause subsumed by 191 during input processing: 0 [copy,91,flip.1] c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 37.25/37.36 Following clause subsumed by 91 during input processing: 0 [copy,191,flip.1] c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 37.25/37.36 Following clause subsumed by 203 during input processing: 0 [copy,202,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 37.25/37.36 Following clause subsumed by 202 during input processing: 0 [copy,203,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 37.25/37.36 ** KEPT (pick-wt=15): 261 [copy,209,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).
% 37.25/37.36 ** KEPT (pick-wt=14): 262 [copy,210,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).
% 37.25/37.36 Following clause subsumed by 214 during input processing: 0 [copy,211,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 37.25/37.36 Following clause subsumed by 211 during input processing: 0 [copy,214,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 37.25/37.36 Following clause subsumed by 246 during input processing: 0 [copy,245,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 37.25/37.36 Following clause subsumed by 245 during input processing: 0 [copy,246,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 37.25/37.36 Following clause subsumed by 209 during input processing: 0 [copy,261,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).
% 37.25/37.36 Following clause subsumed by 210 during input processing: 0 [copy,262,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).
% 37.25/37.36
% 37.25/37.36 ------------> process sos:
% 37.25/37.36 ** KEPT (pick-wt=3): 269 [] A=A.
% 37.25/37.36 ** KEPT (pick-wt=8): 270 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 37.25/37.36 Following clause subsumed by 270 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 37.25/37.36 ** KEPT (pick-wt=13): 271 [] c_Suc(c_Nat_Osize__class_Osize(A,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 37.25/37.36 ** KEPT (pick-wt=13): 272 [] 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))).
% 37.25/37.36 ** KEPT (pick-wt=13): 273 [] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 37.25/37.36 ---> New Demodulator: 274 [new_demod,273] c_List_Oreplicate(c_Suc(A),B,C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 37.25/37.36 ** KEPT (pick-wt=6): 275 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 37.25/37.36 Following clause subsumed by 275 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 37.25/37.36 ** KEPT (pick-wt=12): 276 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=12): 277 [] c_List_Orotate(c_Suc(A),B,C)=c_List_Orotate1(c_List_Orotate(A,B,C),C).
% 37.25/37.36 ** KEPT (pick-wt=12): 278 [] c_List_Olast(c_List_Oreplicate(A,B,C),C)=B|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.36 ** KEPT (pick-wt=11): 279 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 37.25/37.36 ** KEPT (pick-wt=8): 280 [] c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 37.25/37.36 ** KEPT (pick-wt=13): 281 [] c_Nat_Osize__class_Osize(c_List_Olist__update(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(A,tc_List_Olist(D)).
% 37.25/37.36 ---> New Demodulator: 282 [new_demod,281] c_Nat_Osize__class_Osize(c_List_Olist__update(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(A,tc_List_Olist(D)).
% 37.25/37.36 ** KEPT (pick-wt=5): 284 [copy,283,unit_del,33] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 37.25/37.36 ** KEPT (pick-wt=9): 285 [] c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 37.25/37.36 ** KEPT (pick-wt=9): 286 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 37.25/37.36 ---> New Demodulator: 287 [new_demod,286] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 37.25/37.36 ** KEPT (pick-wt=7): 288 [] c_List_Obutlast(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.25/37.36 ---> New Demodulator: 289 [new_demod,288] c_List_Obutlast(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.25/37.36 ** KEPT (pick-wt=7): 290 [] c_List_Orotate1(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.25/37.36 ---> New Demodulator: 291 [new_demod,290] c_List_Orotate1(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.25/37.36 ** KEPT (pick-wt=13): 292 [] c_Nat_Osize__class_Osize(c_List_Omap(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 37.25/37.36 ** KEPT (pick-wt=15): 293 [] c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 37.25/37.36 ** KEPT (pick-wt=11): 294 [] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 37.25/37.36 ---> New Demodulator: 295 [new_demod,294] c_List_Orev(c_List_Oreplicate(A,B,C),C)=c_List_Oreplicate(A,B,C).
% 37.25/37.36 Following clause subsumed by 284 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 37.25/37.36 ** KEPT (pick-wt=8): 296 [] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.36 ---> New Demodulator: 297 [new_demod,296] c_Nat_Osize__class_Osize(c_List_Olist_ONil(A),tc_List_Olist(A))=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.36 ** KEPT (pick-wt=12): 298 [] c_Nat_Osize__class_Osize(c_List_Orotate(A,B,C),tc_List_Olist(C))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 37.25/37.36 ---> New Demodulator: 299 [new_demod,298] c_Nat_Osize__class_Osize(c_List_Orotate(A,B,C),tc_List_Olist(C))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 37.25/37.36 ** KEPT (pick-wt=8): 300 [] c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 37.25/37.36 ** KEPT (pick-wt=11): 301 [] c_Nat_Osize__class_Osize(c_List_Orotate1(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 37.25/37.36 ---> New Demodulator: 302 [new_demod,301] c_Nat_Osize__class_Osize(c_List_Orotate1(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 37.25/37.36 ** KEPT (pick-wt=11): 303 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 37.25/37.36 Following clause subsumed by 303 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).
% 37.25/37.36 Following clause subsumed by 303 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 37.25/37.36 ** KEPT (pick-wt=21): 304 [] 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).
% 37.25/37.36 Following clause subsumed by 284 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 37.25/37.36 Following clause subsumed by 284 during input processing: 0 [] c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 37.25/37.36 ** KEPT (pick-wt=9): 305 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 37.25/37.36 ** KEPT (pick-wt=7): 306 [] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 37.25/37.36 ---> New Demodulator: 307 [new_demod,306] c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=A.
% 37.25/37.36 ** KEPT (pick-wt=9): 308 [] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 37.25/37.36 ---> New Demodulator: 309 [new_demod,308] c_Nat_Osize__class_Osize(c_List_Oreplicate(A,B,C),tc_List_Olist(C))=A.
% 37.25/37.36 ** KEPT (pick-wt=11): 310 [] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 37.25/37.36 ---> New Demodulator: 311 [new_demod,310] c_Nat_Osize__class_Osize(c_List_Orev(A,B),tc_List_Olist(B))=c_Nat_Osize__class_Osize(A,tc_List_Olist(B)).
% 37.25/37.36 ** KEPT (pick-wt=13): 312 [] c_List_Orotate1(c_List_Orotate(A,B,C),C)=c_List_Orotate(A,c_List_Orotate1(B,C),C).
% 37.25/37.36 ---> New Demodulator: 313 [new_demod,312] c_List_Orotate1(c_List_Orotate(A,B,C),C)=c_List_Orotate(A,c_List_Orotate1(B,C),C).
% 37.25/37.36 ** KEPT (pick-wt=18): 314 [] 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).
% 37.25/37.36 ** KEPT (pick-wt=24): 315 [] 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).
% 37.25/37.36 Following clause subsumed by 315 during input processing: 0 [] c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)=c_List_Olist_ONil(tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,C,A,tc_Lambda_OdB,tc_Lambda_OdB)),B)=c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 37.29/37.36 ** KEPT (pick-wt=11): 317 [copy,316,unit_del,33] c_Lambda_Osubstn(c_Lambda_OdB_OVar(A),B,A)=c_Lambda_Oliftn(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 37.29/37.36 ---> New Demodulator: 318 [new_demod,317] c_Lambda_Osubstn(c_Lambda_OdB_OVar(A),B,A)=c_Lambda_Oliftn(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 37.29/37.36 ** KEPT (pick-wt=14): 319 [] c_List_Olast(c_List_Olist_OCons(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 37.29/37.36 ** KEPT (pick-wt=10): 320 [] c_List_Obutlast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_ONil(B).
% 37.29/37.36 ---> New Demodulator: 321 [new_demod,320] c_List_Obutlast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=c_List_Olist_ONil(B).
% 37.29/37.36 ** KEPT (pick-wt=9): 322 [] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 37.29/37.36 ---> New Demodulator: 323 [new_demod,322] c_List_Olast(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),B)=A.
% 37.29/37.36 ** KEPT (pick-wt=17): 324 [] 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).
% 37.29/37.36 ** KEPT (pick-wt=21): 326 [copy,325,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).
% 37.29/37.36 ---> New Demodulator: 327 [new_demod,326] 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).
% 37.29/37.36 ** KEPT (pick-wt=11): 328 [] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Obutlast(A,B).
% 37.29/37.36 ---> New Demodulator: 329 [new_demod,328] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Obutlast(A,B).
% 37.29/37.36 ** KEPT (pick-wt=14): 330 [] c_List_Olast(c_List_Oappend(A,B,C),C)=c_List_Olast(B,C)|B=c_List_Olist_ONil(C).
% 37.29/37.36 ** KEPT (pick-wt=11): 331 [] c_List_Olast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Olast(A,B).
% 37.29/37.36 ---> New Demodulator: 332 [new_demod,331] c_List_Olast(c_List_Oappend(A,c_List_Olist_ONil(B),B),B)=c_List_Olast(A,B).
% 37.29/37.36 ** KEPT (pick-wt=17): 333 [] 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).
% 37.29/37.36 ** KEPT (pick-wt=14): 334 [] c_List_Ofilter(A,c_List_Oreplicate(B,C,D),D)=c_List_Olist_ONil(D)|hBOOL(hAPP(A,C)).
% 37.29/37.36 ** KEPT (pick-wt=14): 335 [] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),D,C)=c_List_Olist_OCons(D,B,C).
% 37.29/37.36 ** KEPT (pick-wt=18): 336 [] c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_Suc(D),E,C)=c_List_Olist_OCons(A,c_List_Olist__update(B,D,E,C),C).
% 37.29/37.36 ** KEPT (pick-wt=7): 338 [copy,337,unit_del,33] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 37.29/37.36 ---> New Demodulator: 339 [new_demod,338] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 37.29/37.36 ** KEPT (pick-wt=15): 340 [] 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).
% 37.29/37.36 ** KEPT (pick-wt=15): 341 [] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 37.29/37.36 ---> New Demodulator: 342 [new_demod,341] c_List_Orev(c_List_Oappend(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Orev(A,C),C).
% 37.29/37.36 ** KEPT (pick-wt=21): 343 [] 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).
% 37.29/37.36 ** KEPT (pick-wt=18): 344 [] 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).
% 37.29/37.36 ---> New Demodulator: 345 [new_demod,344] 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).
% 37.29/37.36 ** KEPT (pick-wt=9): 346 [] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.29/37.36 ---> New Demodulator: 347 [new_demod,346] c_List_Oappend(c_List_Olist_ONil(A),c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.29/37.36 ** KEPT (pick-wt=7): 349 [copy,348,flip.1] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.29/37.36 ---> New Demodulator: 350 [new_demod,349] c_List_Orev(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.29/37.36 ** KEPT (pick-wt=7): 352 [copy,351,flip.1] c_List_Oremdups(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.29/37.36 ---> New Demodulator: 353 [new_demod,352] c_List_Oremdups(c_List_Olist_ONil(A),A)=c_List_Olist_ONil(A).
% 37.29/37.36 ** KEPT (pick-wt=9): 354 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 37.29/37.36 ---> New Demodulator: 355 [new_demod,354] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 37.29/37.36 Following clause subsumed by 269 during input processing: 0 [demod,353] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 37.29/37.36 ** KEPT (pick-wt=7): 357 [copy,356,flip.1] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 37.29/37.36 ---> New Demodulator: 358 [new_demod,357] c_List_Oappend(c_List_Olist_ONil(A),B,A)=B.
% 37.29/37.36 Following clause subsumed by 269 during input processing: 0 [demod,358] B=B.
% 37.29/37.36 ** KEPT (pick-wt=7): 360 [copy,359,flip.1] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 37.29/37.36 ---> New Demodulator: 361 [new_demod,360] c_List_Oappend(A,c_List_Olist_ONil(B),B)=A.
% 37.29/37.36 Following clause subsumed by 269 during input processing: 0 [demod,358] A=A.
% 37.29/37.36 Following clause subsumed by 269 during input processing: 0 [demod,361] A=A.
% 37.29/37.36 ** KEPT (pick-wt=15): 362 [] 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)))).
% 37.29/37.36 ** KEPT (pick-wt=13): 363 [] c_Lambda_Osubstn(A,B,C)=c_Lambda_Osubst(A,c_Lambda_Oliftn(C,B,c_HOL_Ozero__class_Ozero(tc_nat)),C).
% 37.29/37.36 ** KEPT (pick-wt=22): 364 [] c_List_Olist__update(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),E,D)=c_List_Oappend(A,c_List_Olist_OCons(E,C,D),D).
% 37.29/37.36 ** KEPT (pick-wt=12): 365 [] c_List_Olast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=B.
% 37.29/37.36 ---> New Demodulator: 366 [new_demod,365] c_List_Olast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=B.
% 37.29/37.36 ** KEPT (pick-wt=12): 367 [] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=A.
% 37.29/37.36 ---> New Demodulator: 368 [new_demod,367] c_List_Obutlast(c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C),C)=A.
% 37.29/37.36 ** KEPT (pick-wt=15): 369 [] 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).
% 37.29/37.36 ** KEPT (pick-wt=19): 370 [] 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).
% 37.29/37.36 ** KEPT (pick-wt=12): 371 [] c_Lambda_Oliftn(c_Suc(A),B,C)=c_Lambda_Olift(c_Lambda_Oliftn(A,B,C),C).
% 37.29/37.36 ** KEPT (pick-wt=15): 372 [] c_Lambda_Osubstn(c_Lambda_OdB_OVar(A),B,C)=c_Lambda_OdB_OVar(A)|A=C|c_HOL_Oord__class_Oless(C,A,tc_nat).
% 37.29/37.36 ** KEPT (pick-wt=11): 373 [] c_Lambda_Osubstn(A,B,c_HOL_Ozero__class_Ozero(tc_nat))=c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 37.29/37.36 ---> New Demodulator: 374 [new_demod,373] c_Lambda_Osubstn(A,B,c_HOL_Ozero__class_Ozero(tc_nat))=c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 37.29/37.36 ** KEPT (pick-wt=19): 376 [copy,375,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).
% 37.29/37.36 ---> New Demodulator: 377 [new_demod,376] 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).
% 37.29/37.36 ** KEPT (pick-wt=13): 379 [copy,378,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).
% 37.29/37.36 ---> New Demodulator: 380 [new_demod,379] 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).
% 37.29/37.36 ** KEPT (pick-wt=21): 381 [] c_List_Omap(A,c_List_Olist__update(B,C,D,E),E,F)=c_List_Olist__update(c_List_Omap(A,B,E,F),C,hAPP(A,D),F).
% 37.29/37.36 Following clause subsumed by 269 during input processing: 0 [demod,358] c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 37.29/37.36 ** KEPT (pick-wt=8): 382 [] c_Lambda_Osubst(c_Lambda_Olift(A,B),C,B)=A.
% 37.29/37.36 ---> New Demodulator: 383 [new_demod,382] c_Lambda_Osubst(c_Lambda_Olift(A,B),C,B)=A.
% 37.29/37.36 ** KEPT (pick-wt=17): 385 [copy,384,demod,342,380] c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),c_List_Orev(c_List_Orev(C,B),B),B)=c_List_Olist_OCons(A,C,B).
% 37.29/37.37 ** KEPT (pick-wt=15): 386 [] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 37.29/37.37 ---> New Demodulator: 387 [new_demod,386] c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,387] c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 37.29/37.37 ** KEPT (pick-wt=9): 388 [] c_List_Oremove1(A,c_List_Olist_OCons(A,B,C),C)=B.
% 37.29/37.37 ---> New Demodulator: 389 [new_demod,388] c_List_Oremove1(A,c_List_Olist_OCons(A,B,C),C)=B.
% 37.29/37.37 ** KEPT (pick-wt=15): 390 [] c_List_Olist_Olist__case(A,B,c_List_Olist_OCons(C,D,E),F,E)=hAPP(hAPP(B,C),D).
% 37.29/37.37 ** KEPT (pick-wt=19): 392 [copy,391,flip.1] c_List_Olist_OCons(hAPP(A,B),c_List_Omap(A,C,D,E),E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 37.29/37.37 ---> New Demodulator: 393 [new_demod,392] c_List_Olist_OCons(hAPP(A,B),c_List_Omap(A,C,D,E),E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,393] c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,393] c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,387] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,387] c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 37.29/37.37 ** KEPT (pick-wt=13): 394 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,380] c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 37.29/37.37 ** KEPT (pick-wt=20): 395 [] 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).
% 37.29/37.37 ** KEPT (pick-wt=17): 396 [] 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).
% 37.29/37.37 ** KEPT (pick-wt=13): 397 [] c_List_Oremdups(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Oremdups(B,C),C).
% 37.29/37.37 ---> New Demodulator: 398 [new_demod,397] c_List_Oremdups(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Oremdups(B,C),C).
% 37.29/37.37 ** KEPT (pick-wt=11): 399 [] c_Lambda_OdB_OdB__case(A,B,C,c_Lambda_OdB_OAbs(D),E)=hAPP(C,D).
% 37.29/37.37 ** KEPT (pick-wt=15): 400 [] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 37.29/37.37 ---> New Demodulator: 401 [new_demod,400] c_List_Orev(c_List_Omap(A,B,C,D),D)=c_List_Omap(A,c_List_Orev(B,C),C,D).
% 37.29/37.37 ** KEPT (pick-wt=17): 402 [] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 37.29/37.37 ---> New Demodulator: 403 [new_demod,402] c_List_Orotate(A,c_List_Omap(B,C,D,E),E)=c_List_Omap(B,c_List_Orotate(A,C,D),D,E).
% 37.29/37.37 ** KEPT (pick-wt=7): 405 [copy,404,flip.1] c_List_Orev(c_List_Orev(A,B),B)=A.
% 37.29/37.37 ---> New Demodulator: 406 [new_demod,405] c_List_Orev(c_List_Orev(A,B),B)=A.
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,406] A=A.
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,406] A=A.
% 37.29/37.37 ** KEPT (pick-wt=21): 407 [] 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).
% 37.29/37.37 ---> New Demodulator: 408 [new_demod,407] 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).
% 37.29/37.37 ** KEPT (pick-wt=23): 409 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 37.29/37.37 ---> New Demodulator: 410 [new_demod,409] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 37.29/37.37 ** KEPT (pick-wt=23): 411 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 37.29/37.37 ** KEPT (pick-wt=18): 412 [] c_List_Oremove1(A,c_List_Olist_OCons(B,C,D),D)=c_List_Olist_OCons(B,c_List_Oremove1(A,C,D),D)|A=B.
% 37.29/37.37 ** KEPT (pick-wt=21): 414 [copy,413,flip.1] c_List_Oappend(c_List_Omap(A,B,C,D),c_List_Omap(A,E,C,D),D)=c_List_Omap(A,c_List_Oappend(B,E,C),C,D).
% 37.29/37.37 ---> New Demodulator: 415 [new_demod,414] c_List_Oappend(c_List_Omap(A,B,C,D),c_List_Omap(A,E,C,D),D)=c_List_Omap(A,c_List_Oappend(B,E,C),C,D).
% 37.29/37.37 ** KEPT (pick-wt=16): 416 [] c_List_Oremove1(A,c_List_Ofilter(B,C,D),D)=c_List_Ofilter(B,C,D)|hBOOL(hAPP(B,A)).
% 37.29/37.37 ** KEPT (pick-wt=22): 418 [copy,417,flip.1] hAPP(hAPP(hAPP(A,B),C),c_List_Olist_Olist__rec(D,A,C,E,F))=c_List_Olist_Olist__rec(D,A,c_List_Olist_OCons(B,C,F),E,F).
% 37.29/37.37 ---> New Demodulator: 419 [new_demod,418] hAPP(hAPP(hAPP(A,B),C),c_List_Olist_Olist__rec(D,A,C,E,F))=c_List_Olist_Olist__rec(D,A,c_List_Olist_OCons(B,C,F),E,F).
% 37.29/37.37 ** KEPT (pick-wt=19): 420 [] 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).
% 37.29/37.37 ** KEPT (pick-wt=18): 421 [] c_Lambda_OdB_OdB__rec(A,B,C,c_Lambda_OdB_OAbs(D),E)=hAPP(hAPP(C,D),c_Lambda_OdB_OdB__rec(A,B,C,D,E)).
% 37.29/37.37 ** KEPT (pick-wt=18): 422 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 37.29/37.37 ---> New Demodulator: 423 [new_demod,422] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 37.29/37.37 ** KEPT (pick-wt=20): 425 [copy,424,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).
% 37.29/37.37 ---> New Demodulator: 426 [new_demod,425] 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).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,358] c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 37.29/37.37 ** KEPT (pick-wt=8): 427 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 37.29/37.37 ---> New Demodulator: 428 [new_demod,427] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 37.29/37.37 ** KEPT (pick-wt=22): 429 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),E,F,D)=c_List_Olist__update(c_List_Olist__update(A,E,F,D),B,C,D)|B=E.
% 37.29/37.37 ** KEPT (pick-wt=16): 430 [] c_List_Ofilter(A,c_List_Olist_OCons(B,C,D),D)=c_List_Ofilter(A,C,D)|hBOOL(hAPP(A,B)).
% 37.29/37.37 ** KEPT (pick-wt=13): 431 [] c_List_Orev(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Orev(B,C),C).
% 37.29/37.37 ---> New Demodulator: 432 [new_demod,431] c_List_Orev(c_List_Ofilter(A,B,C),C)=c_List_Ofilter(A,c_List_Orev(B,C),C).
% 37.29/37.37 ** KEPT (pick-wt=15): 433 [] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 37.29/37.37 ---> New Demodulator: 434 [new_demod,433] c_List_Olist__update(c_List_Olist__update(A,B,C,D),B,E,D)=c_List_Olist__update(A,B,E,D).
% 37.29/37.37 ** KEPT (pick-wt=15): 435 [] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 37.29/37.37 ---> New Demodulator: 436 [new_demod,435] c_List_Oappend(c_List_Oappend(A,B,C),D,C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,436] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,436] c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,436] c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 37.29/37.37 ** KEPT (pick-wt=4): 437 [] c_List_Onull(c_List_Olist_ONil(A),A).
% 37.29/37.37 ** KEPT (pick-wt=9): 438 [] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 37.29/37.37 ---> New Demodulator: 439 [new_demod,438] c_List_Ofoldr(A,c_List_Olist_ONil(B),C,B,D)=C.
% 37.29/37.37 ** KEPT (pick-wt=9): 440 [] c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 37.29/37.37 ** KEPT (pick-wt=8): 441 [] c_List_Osublist(c_List_Olist_ONil(A),B,A)=c_List_Olist_ONil(A).
% 37.29/37.37 ---> New Demodulator: 442 [new_demod,441] c_List_Osublist(c_List_Olist_ONil(A),B,A)=c_List_Olist_ONil(A).
% 37.29/37.37 ** KEPT (pick-wt=9): 443 [] c_List_Olist_Olist__rec(A,B,c_List_Olist_ONil(C),D,C)=A.
% 37.29/37.37 ---> New Demodulator: 444 [new_demod,443] c_List_Olist_Olist__rec(A,B,c_List_Olist_ONil(C),D,C)=A.
% 37.29/37.37 ** KEPT (pick-wt=9): 445 [] c_List_Ofiltermap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 37.29/37.37 ** KEPT (pick-wt=8): 446 [] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 37.29/37.37 ---> New Demodulator: 447 [new_demod,446] c_List_Ofilter(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 37.29/37.37 ** KEPT (pick-wt=9): 448 [] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 37.29/37.37 ---> New Demodulator: 449 [new_demod,448] c_List_Olist__update(c_List_Olist_ONil(A),B,C,A)=c_List_Olist_ONil(A).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,449] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,449] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 37.29/37.37 ** KEPT (pick-wt=8): 450 [] c_List_Oremove1(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 37.29/37.37 ---> New Demodulator: 451 [new_demod,450] c_List_Oremove1(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 37.29/37.37 ** KEPT (pick-wt=9): 452 [] c_Map_Omap__upds(A,B,c_List_Olist_ONil(C),D,C)=A.
% 37.29/37.37 ---> New Demodulator: 453 [new_demod,452] c_Map_Omap__upds(A,B,c_List_Olist_ONil(C),D,C)=A.
% 37.29/37.37 ** KEPT (pick-wt=9): 454 [] c_Map_Omap__upds(A,c_List_Olist_ONil(B),C,B,D)=A.
% 37.29/37.37 ---> New Demodulator: 455 [new_demod,454] c_Map_Omap__upds(A,c_List_Olist_ONil(B),C,B,D)=A.
% 37.29/37.37 ** KEPT (pick-wt=9): 456 [] c_List_Olist_Olist__case(A,B,c_List_Olist_ONil(C),D,C)=A.
% 37.29/37.37 ---> New Demodulator: 457 [new_demod,456] c_List_Olist_Olist__case(A,B,c_List_Olist_ONil(C),D,C)=A.
% 37.29/37.37 ** KEPT (pick-wt=8): 458 [] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 37.29/37.37 ---> New Demodulator: 459 [new_demod,458] c_List_Orotate(A,c_List_Olist_ONil(B),B)=c_List_Olist_ONil(B).
% 37.29/37.37 ** KEPT (pick-wt=9): 460 [] c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,361] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 37.29/37.37 ** KEPT (pick-wt=7): 461 [] c_List_Olistrelp(A,c_List_Olist_ONil(B),c_List_Olist_ONil(B),B).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,350] c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 37.29/37.37 ** KEPT (pick-wt=20): 463 [copy,462,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).
% 37.29/37.37 ---> New Demodulator: 464 [new_demod,463] 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).
% 37.29/37.37 ** KEPT (pick-wt=17): 466 [copy,465,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).
% 37.29/37.37 ---> New Demodulator: 467 [new_demod,466] 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).
% 37.29/37.37 ** KEPT (pick-wt=16): 468 [] c_Lambda_OdB_OdB__case(A,B,C,hAPP(hAPP(c_Lambda_OdB_OApp,D),E),F)=hAPP(hAPP(B,D),E).
% 37.29/37.37 ** KEPT (pick-wt=30): 470 [copy,469,flip.1] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Lambda_OdB_OdB__rec(D,A,E,B,F)),c_Lambda_OdB_OdB__rec(D,A,E,C,F))=c_Lambda_OdB_OdB__rec(D,A,E,hAPP(hAPP(c_Lambda_OdB_OApp,B),C),F).
% 37.29/37.37 ---> New Demodulator: 471 [new_demod,470] hAPP(hAPP(hAPP(hAPP(A,B),C),c_Lambda_OdB_OdB__rec(D,A,E,B,F)),c_Lambda_OdB_OdB__rec(D,A,E,C,F))=c_Lambda_OdB_OdB__rec(D,A,E,hAPP(hAPP(c_Lambda_OdB_OApp,B),C),F).
% 37.29/37.37 ** KEPT (pick-wt=20): 473 [copy,472,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(A,B,C)),c_Lambda_Oliftn(A,D,C))=c_Lambda_Oliftn(A
% 37.29/37.37 -------- PROOF --------
% 37.29/37.37 ,hAPP(hAPP(c_Lambda_OdB_OApp,B),D),C).
% 37.29/37.37 ---> New Demodulator: 474 [new_demod,473] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(A,B,C)),c_Lambda_Oliftn(A,D,C))=c_Lambda_Oliftn(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),D),C).
% 37.29/37.37 ** KEPT (pick-wt=20): 476 [copy,475,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(A,B,C)),c_Lambda_Osubstn(D,B,C))=c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 37.29/37.37 ---> New Demodulator: 477 [new_demod,476] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(A,B,C)),c_Lambda_Osubstn(D,B,C))=c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,339] B=B.
% 37.29/37.37 ** KEPT (pick-wt=11): 478 [] c_Lambda_OdB_OdB__rec(A,B,C,c_Lambda_OdB_OVar(D),E)=hAPP(A,D).
% 37.29/37.37 ** KEPT (pick-wt=11): 479 [] c_Lambda_OdB_OdB__case(A,B,C,c_Lambda_OdB_OVar(D),E)=hAPP(A,D).
% 37.29/37.37 ** KEPT (pick-wt=7): 480 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,355] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,355] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,355] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 37.29/37.37 Following clause subsumed by 269 during input processing: 0 [demod,355] c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 37.29/37.37 ** KEPT (pick-wt=5): 481 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 37.29/37.37 ** KEPT (pick-wt=5): 482 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 37.29/37.37
% 37.29/37.37 ----> UNIT CONFLICT at 0.04 sec ----> 483 [binary,482.1,247.1] $F.
% 37.29/37.37
% 37.29/37.37 Length of proof is 0. Level of proof is 0.
% 37.29/37.37
% 37.29/37.37 ---------------- PROOF ----------------
% 37.29/37.37 % SZS status Unsatisfiable
% 37.29/37.37 % SZS output start Refutation
% See solution above
% 37.29/37.37 ------------ end of proof -------------
% 37.29/37.37
% 37.29/37.37
% 37.29/37.37 Search stopped by max_proofs option.
% 37.29/37.37
% 37.29/37.37
% 37.29/37.37 Search stopped by max_proofs option.
% 37.29/37.37
% 37.29/37.37 ============ end of search ============
% 37.29/37.37
% 37.29/37.37 -------------- statistics -------------
% 37.29/37.37 clauses given 0
% 37.29/37.37 clauses generated 21
% 37.29/37.37 clauses kept 371
% 37.29/37.37 clauses forward subsumed 72
% 37.29/37.37 clauses back subsumed 0
% 37.29/37.37 Kbytes malloced 7812
% 37.29/37.37
% 37.29/37.37 ----------- times (seconds) -----------
% 37.29/37.37 user CPU time 0.04 (0 hr, 0 min, 0 sec)
% 37.29/37.37 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 37.29/37.37 wall-clock time 37 (0 hr, 0 min, 37 sec)
% 37.29/37.37
% 37.29/37.37 That finishes the proof of the theorem.
% 37.29/37.37
% 37.29/37.37 Process 15569 finished Wed Jul 27 09:25:04 2022
% 37.29/37.37 Otter interrupted
% 37.29/37.37 PROOF FOUND
%------------------------------------------------------------------------------