TSTP Solution File: LCL856-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:05:38 EDT 2022
% Result : Unknown 6.18s 6.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Jul 27 09:29:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 6.05/6.23 ----- Otter 3.3f, August 2004 -----
% 6.05/6.23 The process was started by sandbox2 on n028.cluster.edu,
% 6.05/6.23 Wed Jul 27 09:29:04 2022
% 6.05/6.23 The command was "./otter". The process ID is 14490.
% 6.05/6.23
% 6.05/6.23 set(prolog_style_variables).
% 6.05/6.23 set(auto).
% 6.05/6.23 dependent: set(auto1).
% 6.05/6.23 dependent: set(process_input).
% 6.05/6.23 dependent: clear(print_kept).
% 6.05/6.23 dependent: clear(print_new_demod).
% 6.05/6.23 dependent: clear(print_back_demod).
% 6.05/6.23 dependent: clear(print_back_sub).
% 6.05/6.23 dependent: set(control_memory).
% 6.05/6.23 dependent: assign(max_mem, 12000).
% 6.05/6.23 dependent: assign(pick_given_ratio, 4).
% 6.05/6.23 dependent: assign(stats_level, 1).
% 6.05/6.23 dependent: assign(max_seconds, 10800).
% 6.05/6.23 clear(print_given).
% 6.05/6.23
% 6.05/6.23 list(usable).
% 6.05/6.23 0 [] A=A.
% 6.05/6.23 0 [] -c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a).
% 6.05/6.23 0 [] -c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a).
% 6.05/6.23 0 [] c_Type_Otype_OFun(V_type1,V_type2)!=c_Type_Otype_OFun(V_type1_H,V_type2_H)|V_type2=V_type2_H.
% 6.05/6.23 0 [] c_Type_Otype_OFun(V_type1,V_type2)!=c_Type_Otype_OFun(V_type1_H,V_type2_H)|V_type1=V_type1_H.
% 6.05/6.23 0 [] c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)| -c_Type_Otyping(V_env,V_t,V_T)| -c_Type_Otyping(V_env,V_s,c_Type_Otype_OFun(V_T,V_U)).
% 6.05/6.23 0 [] c_Lambda_OdB_OAbs(V_r)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 6.05/6.23 0 [] c_Lambda_OdB_OAbs(V_r)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(V_r)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(V_r).
% 6.05/6.23 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).
% 6.05/6.23 0 [] c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)| -c_Type_Otyping(V_e,V_t,V_T).
% 6.05/6.23 0 [] -c_Type_Otyping(V_e_H,V_u,V_U)| -c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)|c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T).
% 6.05/6.23 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)).
% 6.05/6.23 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.23 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)=V_t.
% 6.05/6.23 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),c_Type_Otype_OFun(V_T,V_U))| -c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U).
% 6.05/6.23 0 [] hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x)=V_T.
% 6.05/6.23 0 [] c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b)=V_a.
% 6.05/6.23 0 [] c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a).
% 6.05/6.23 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)|V_r=c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__e_q__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB)|V_ts=c_List_Olist_ONil(tc_Lambda_OdB).
% 6.05/6.23 0 [] c_Lambda_OdB_OVar(V_m)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_ss=c_List_Olist_ONil(tc_Lambda_OdB).
% 6.05/6.23 0 [] c_Lambda_OdB_OVar(V_m)=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))| -c_Type_Otyping(V_e,V_u,V_U)| -hBOOL(hAPP(c_InductTermi_OIT,V_u))| -c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),V_t,V_T)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 6.05/6.23 0 [] V_v=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB).
% 6.05/6.23 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)!=c_Lambda_OdB_OVar(V_nat).
% 6.05/6.23 0 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a)=c_Transitive__Closure_Ortranclp(V_r,T_a).
% 6.05/6.23 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(V_A,V_x),V_y))| -hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(V_B,V_x),V_y))| -hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 6.05/6.23 0 [] c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k)=V_t.
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 6.05/6.23 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 6.05/6.23 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)|V_r=V_s.
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)).
% 6.05/6.23 0 [] c_Lambda_OdB_OAbs(V_r)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OAbs(V_r)=V_s.
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 6.05/6.23 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 6.05/6.23 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(V_r,V_s,T_a,T_b,T_c),V_a),V_c))| -hBOOL(hAPP(hAPP(V_s,V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(V_r,V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)).
% 6.05/6.23 0 [] c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)).
% 6.05/6.23 0 [] c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(V_r,T_a),T_a)| -c_Wellfounded_OwfP(V_r,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))).
% 6.05/6.23 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OAbs(V_dB_H).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(V_r,V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(V_B,V_x),V_y))|hBOOL(hAPP(hAPP(V_A,V_x),V_y))| -hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))| -hBOOL(hAPP(hAPP(V_B,V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))| -hBOOL(hAPP(hAPP(V_A,V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(c_InductTermi_OIT,V_s))| -hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 6.05/6.23 0 [] c_Lambda_OdB_OAbs(V_dB)!=c_Lambda_OdB_OAbs(V_dB_H)|V_dB=V_dB_H.
% 6.05/6.23 0 [] c_Lambda_OdB_OVar(V_nat)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H).
% 6.05/6.23 0 [] c_Lambda_OdB_OVar(V_m)!=c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OVar(V_m)=V_s.
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 6.05/6.23 0 [] V_T=V_U| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)| -c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T).
% 6.05/6.23 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)|V_dB2=V_dB2_H.
% 6.05/6.23 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)|V_dB1=V_dB1_H.
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_rs=V_ss.
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_r=V_s.
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(V_r)|V_s=c_Lambda_OdB_OAbs(V_r).
% 6.05/6.23 0 [] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_fe_qual(T_a),tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a)=c_Transitive__Closure_Ortranclp(V_R,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_R,T_a),V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_R,T_a),V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)).
% 6.05/6.23 0 [] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(V_R,T_a),c_Transitive__Closure_Ortranclp(V_S,T_a),tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a)=c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(T_a,tc_fun(T_a,tc_bool))),T_a).
% 6.05/6.23 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 6.05/6.23 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 6.05/6.23 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))| -hBOOL(hAPP(c_InductTermi_OIT,V_r)).
% 6.05/6.23 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(V_r,T_a),c_fe_qual(T_a),tc_fun(T_a,tc_fun(T_a,tc_bool)))=c_Transitive__Closure_Ortranclp(V_r,T_a).
% 6.05/6.23 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 6.05/6.23 0 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k)=V_u.
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_rs=V_ss.
% 6.05/6.23 0 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)|V_m=V_n.
% 6.05/6.23 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_x),V_y)).
% 6.05/6.23 0 [] c_Lambda_OdB_OVar(V_nat)!=c_Lambda_OdB_OVar(V_nat_H)|V_nat=V_nat_H.
% 6.05/6.23 0 [] hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)!=c_Lambda_OdB_OAbs(V_dB_H).
% 6.05/6.23 0 [] c_Lambda_OdB_OAbs(V_dB_H)!=c_Lambda_OdB_OVar(V_nat).
% 6.05/6.23 0 [] c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y))| -hBOOL(hAPP(hAPP(V_B,V_x),V_y))| -hBOOL(hAPP(hAPP(V_A,V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(V_r,V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(V_r,V_b),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_a),V_c))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(V_r,T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_a,T_a)| -hBOOL(hAPP(hAPP(V_r,V_a),V_b))| -c_Wellfounded_Oaccp(V_r,V_b,T_a).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_y,T_a)| -hBOOL(hAPP(hAPP(V_r,V_y),V_a))| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a)))| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(V_R,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(V_R,V_x,T_a)),V_x))|c_Wellfounded_Oaccp(V_R,V_x,T_a).
% 6.05/6.23 0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))| -c_Type_Otyping(V_e,V_t,V_T).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_x,T_a)| -c_Wellfounded_OwfP(V_r,T_a).
% 6.05/6.23 0 [] c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a)=V_r.
% 6.05/6.23 0 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_x,T_a)|hBOOL(hAPP(hAPP(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(V_r,V_x,T_a)),V_x)).
% 6.05/6.23 0 [] c_Predicate_Oconversep(c_fe_qual(T_a),T_a,T_a)=c_fe_qual(T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a),V_x),V_y)).
% 6.05/6.23 0 [] hAPP(V_e,V_i)=V_T| -c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T).
% 6.05/6.23 0 [] -c_Wellfounded_Oaccp(V_R,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(V_R,V_x,T_a),T_a)|c_Wellfounded_Oaccp(V_R,V_x,T_a).
% 6.05/6.23 0 [] c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a)=c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(V_r,T_a),T_a,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,V_r))| -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,V_t)).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_b,T_a)| -c_Wellfounded_Oaccp(V_r,V_a,T_a)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_b,T_a)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))| -c_Wellfounded_Oaccp(V_r,V_x,t_a).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))| -c_Wellfounded_Oaccp(V_r,V_x,t_a).
% 6.05/6.23 0 [] -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)| -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)|c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))| -c_Wellfounded_Oaccp(V_r,V_x,t_a).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))| -c_Wellfounded_Oaccp(V_r,V_x,t_a).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))| -hBOOL(hAPP(hAPP(V_r,V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))| -hBOOL(hAPP(hAPP(V_r,V_b),V_a)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(V_r,V_b),V_a))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_x))|c_Wellfounded_Oaccp(V_r,V_ya,t_a)| -hBOOL(hAPP(hAPP(V_r,V_ya),v_sko__Wellfounded__Xaccp__Xinducts__1(V_P,V_r)))| -c_Wellfounded_Oaccp(V_r,V_x,t_a).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_x))|c_Wellfounded_Oaccp(V_r,V_ya,t_a)| -hBOOL(hAPP(hAPP(V_r,V_ya),v_sko__Wellfounded__Xaccp__Xinduct__1(V_P,V_r)))| -c_Wellfounded_Oaccp(V_r,V_x,t_a).
% 6.05/6.23 0 [] c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(T_b,tc_fun(T_a,tc_bool))),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(V_r,T_b,T_a),c_Predicate_Oconversep(V_s,T_b,T_a),tc_fun(T_a,tc_fun(T_b,tc_bool))).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_a))|c_Wellfounded_Oaccp(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(V_P,V_r,T_a),T_a)| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 6.05/6.23 0 [] c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)).
% 6.05/6.23 0 [] c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(T_b,tc_fun(T_a,tc_bool))),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(V_r,T_b,T_a),c_Predicate_Oconversep(V_s,T_b,T_a),tc_fun(T_a,tc_fun(T_b,tc_bool))).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_x,T_a)| -c_Wellfounded_Oaccp(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(V_r,V_x,T_a),T_a).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_x,T_a)| -c_Wellfounded_Oaccp(V_r,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(V_r,V_x,T_a),T_a).
% 6.05/6.23 0 [] c_Wellfounded_Oaccp(V_r,V_x,T_a)|hBOOL(hAPP(hAPP(V_r,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(V_r,V_x,T_a)),V_x)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_a))|c_Wellfounded_Oaccp(V_r,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a),T_a)| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 6.05/6.23 0 [] c_Type_Otyping(V_e,V_t_H,V_T)| -c_Type_Otyping(V_e,V_t,V_T)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 6.05/6.23 0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(V_r,V_y),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(V_P,V_r,T_a)))| -c_Wellfounded_Oaccp(V_r,V_a,T_a).
% 6.05/6.23 0 [] c_Predicate_Oconversep(c_Predicate_Opred__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a)=c_Predicate_Opred__comp(c_Predicate_Oconversep(V_s,T_c,T_a),c_Predicate_Oconversep(V_r,T_b,T_c),T_a,T_c,T_b).
% 6.05/6.23 0 [] hBOOL(hAPP(c_InductTermi_OIT,V_t))| -c_Type_Otyping(V_e,V_t,V_T).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)).
% 6.05/6.23 0 [] c_Type_Otyping(v_e,v_t,v_T).
% 6.05/6.23 0 [] -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB).
% 6.05/6.23 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 6.05/6.23 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 6.05/6.23 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 6.05/6.23 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 6.05/6.23 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 6.05/6.23 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 6.05/6.23 0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 6.05/6.23 0 [] class_Lattices_Olattice(tc_nat).
% 6.05/6.23 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 6.05/6.23 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 6.05/6.23 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 6.05/6.23 0 [] class_Lattices_Olattice(tc_bool).
% 6.05/6.23 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 6.05/6.23 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 6.05/6.23 end_of_list.
% 6.05/6.23
% 6.05/6.23 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 6.05/6.23
% 6.05/6.23 This ia a non-Horn set with equality. The strategy will be
% 6.05/6.23 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 6.05/6.23 deletion, with positive clauses in sos and nonpositive
% 6.05/6.23 clauses in usable.
% 6.05/6.23
% 6.05/6.23 dependent: set(knuth_bendix).
% 6.05/6.23 dependent: set(anl_eq).
% 6.05/6.23 dependent: set(para_from).
% 6.05/6.23 dependent: set(para_into).
% 6.05/6.23 dependent: clear(para_from_right).
% 6.05/6.23 dependent: clear(para_into_right).
% 6.05/6.23 dependent: set(para_from_vars).
% 6.05/6.23 dependent: set(eq_units_both_ways).
% 6.05/6.23 dependent: set(dynamic_demod_all).
% 6.05/6.23 dependent: set(dynamic_demod).
% 6.05/6.23 dependent: set(order_eq).
% 6.05/6.23 dependent: set(back_demod).
% 6.05/6.23 dependent: set(lrpo).
% 6.05/6.23 dependent: set(hyper_res).
% 6.05/6.23 dependent: set(unit_deletion).
% 6.05/6.23 dependent: set(factor).
% 6.05/6.23
% 6.05/6.23 ------------> process usable:
% 6.05/6.23 ** KEPT (pick-wt=6): 1 [] -c_ListOrder_Ostep1(A,c_List_Olist_ONil(B),C,B).
% 6.05/6.23 ** KEPT (pick-wt=6): 2 [] -c_ListOrder_Ostep1(A,B,c_List_Olist_ONil(C),C).
% 6.05/6.23 ** KEPT (pick-wt=10): 3 [] c_Type_Otype_OFun(A,B)!=c_Type_Otype_OFun(C,D)|B=D.
% 6.05/6.23 ** KEPT (pick-wt=10): 4 [] c_Type_Otype_OFun(A,B)!=c_Type_Otype_OFun(C,D)|A=C.
% 6.05/6.23 ** KEPT (pick-wt=18): 5 [] c_Type_Otyping(A,hAPP(hAPP(c_Lambda_OdB_OApp,B),C),D)| -c_Type_Otyping(A,C,E)| -c_Type_Otyping(A,B,c_Type_Otype_OFun(E,D)).
% 6.05/6.23 ** KEPT (pick-wt=13): 6 [] c_Lambda_OdB_OAbs(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|C=c_List_Olist_ONil(tc_Lambda_OdB).
% 6.05/6.23 ** KEPT (pick-wt=13): 7 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(C)|B=c_List_Olist_ONil(tc_Lambda_OdB).
% 6.05/6.23 ** KEPT (pick-wt=21): 8 [] 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).
% 6.05/6.23 ** KEPT (pick-wt=14): 9 [] c_Type_Otyping(c_Type_Oshift(A,B,C,tc_Type_Otype),c_Lambda_Olift(D,B),E)| -c_Type_Otyping(A,D,E).
% 6.05/6.23 ** KEPT (pick-wt=19): 10 [] -c_Type_Otyping(A,B,C)| -c_Type_Otyping(c_Type_Oshift(A,D,C,tc_Type_Otype),E,F)|c_Type_Otyping(A,c_Lambda_Osubst(E,B,D),F).
% 6.05/6.23 ** KEPT (pick-wt=20): 11 [] 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)).
% 6.05/6.23 ** KEPT (pick-wt=20): 12 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=C.
% 6.05/6.23 ** KEPT (pick-wt=16): 13 [] c_Type_Otyping(A,c_Lambda_OdB_OAbs(B),c_Type_Otype_OFun(C,D))| -c_Type_Otyping(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),C,tc_Type_Otype),B,D).
% 6.05/6.23 ** KEPT (pick-wt=28): 15 [copy,14,flip.2] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,D,tc_Lambda_OdB,tc_Lambda_OdB)|c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_ListApplication_Osko__ListApplication__XApp__e_q__foldl__conv__1__1(A,B,C,D),tc_Lambda_OdB,tc_Lambda_OdB)=A|D=c_List_Olist_ONil(tc_Lambda_OdB).
% 6.05/6.23 ** KEPT (pick-wt=13): 16 [] c_Lambda_OdB_OVar(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|C=c_List_Olist_ONil(tc_Lambda_OdB).
% 6.05/6.23 ** KEPT (pick-wt=27): 17 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(A,B,C)))| -c_Type_Otyping(D,B,E)| -hBOOL(hAPP(c_InductTermi_OIT,B))| -c_Type_Otyping(c_Type_Oshift(D,C,E,tc_Type_Otype),A,F)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.05/6.23 ** KEPT (pick-wt=24): 19 [copy,18,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(A,B,C),tc_Lambda_OdB,tc_Lambda_OdB)=C| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)),C)).
% 6.05/6.23 ** KEPT (pick-wt=14): 20 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)))| -c_List_Olistsp(c_InductTermi_OIT,B,tc_Lambda_OdB).
% 6.05/6.23 ** KEPT (pick-wt=8): 21 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 6.05/6.23 ** KEPT (pick-wt=14): 22 [] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.23 ** KEPT (pick-wt=19): 23 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(E,tc_fun(F,tc_bool))),B),C)).
% 6.05/6.23 ** KEPT (pick-wt=19): 24 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(E,tc_fun(F,tc_bool))),B),C)).
% 6.05/6.23 ** KEPT (pick-wt=13): 25 [] hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,A),c_Lambda_OdB_OVar(B))))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.05/6.23 ** KEPT (pick-wt=14): 26 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,C),D)).
% 6.05/6.23 ** KEPT (pick-wt=14): 27 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 6.05/6.23 ** KEPT (pick-wt=14): 28 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 6.05/6.23 ** KEPT (pick-wt=11): 29 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 6.05/6.23 ** KEPT (pick-wt=11): 30 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 6.05/6.23 ** KEPT (pick-wt=32): 31 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),D)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 6.05/6.23 ** KEPT (pick-wt=9): 32 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(A)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.05/6.23 ** KEPT (pick-wt=16): 33 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 6.05/6.23 ** KEPT (pick-wt=24): 34 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 6.05/6.23 ** KEPT (pick-wt=24): 35 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),C)).
% 6.05/6.23 ** KEPT (pick-wt=13): 36 [] c_Lambda_OdB_OAbs(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OAbs(A)=B.
% 6.05/6.23 ** KEPT (pick-wt=11): 37 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 6.05/6.23 ** KEPT (pick-wt=11): 38 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 6.05/6.23 ** KEPT (pick-wt=17): 39 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=17): 40 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=17): 41 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=17): 42 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=8): 43 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 6.05/6.23 ** KEPT (pick-wt=20): 45 [copy,44,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 6.05/6.23 ** KEPT (pick-wt=20): 47 [copy,46,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=18): 48 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),B)).
% 6.05/6.23 ** KEPT (pick-wt=23): 49 [] hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(A,B,C,D,E),F),G))| -hBOOL(hAPP(hAPP(B,H),G))| -hBOOL(hAPP(hAPP(A,F),H)).
% 6.05/6.23 ** KEPT (pick-wt=24): 50 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),E)).
% 6.05/6.23 ** KEPT (pick-wt=24): 51 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 6.05/6.23 ** KEPT (pick-wt=24): 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(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 6.05/6.23 ** KEPT (pick-wt=20): 53 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(A,D,C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,B),D)).
% 6.05/6.23 ** KEPT (pick-wt=22): 54 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 6.05/6.23 ** KEPT (pick-wt=22): 55 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 6.05/6.23 ** KEPT (pick-wt=8): 56 [] c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(A,B),B)| -c_Wellfounded_OwfP(A,B).
% 6.05/6.23 ** KEPT (pick-wt=16): 57 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D)).
% 6.05/6.23 ** KEPT (pick-wt=22): 58 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),D)).
% 6.05/6.23 ** KEPT (pick-wt=22): 59 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(A,D,C)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),B),D)).
% 6.05/6.23 ** KEPT (pick-wt=5): 60 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 6.05/6.23 ** KEPT (pick-wt=14): 61 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,C),D)).
% 6.05/6.23 ** KEPT (pick-wt=25): 62 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,B),C))| -hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(E,tc_fun(F,tc_bool))),B),C)).
% 6.05/6.23 ** KEPT (pick-wt=19): 63 [] hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),E),F))| -hBOOL(hAPP(hAPP(B,E),F)).
% 6.05/6.23 ** KEPT (pick-wt=19): 64 [] hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),E),F))| -hBOOL(hAPP(hAPP(A,E),F)).
% 6.05/6.23 ** KEPT (pick-wt=31): 65 [] hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B),C,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(c_InductTermi_OIT,B))| -hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)),C,tc_Lambda_OdB,tc_Lambda_OdB))).
% 6.05/6.23 ** KEPT (pick-wt=10): 66 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(A,B)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.05/6.23 ** KEPT (pick-wt=15): 67 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.23 ** KEPT (pick-wt=17): 68 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=17): 69 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=17): 70 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=17): 71 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=8): 72 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OAbs(B)|A=B.
% 6.05/6.23 ** KEPT (pick-wt=8): 73 [] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 6.05/6.23 ** KEPT (pick-wt=13): 74 [] c_Lambda_OdB_OVar(A)!=c_List_Ofoldl(c_Lambda_OdB_OApp,B,C,tc_Lambda_OdB,tc_Lambda_OdB)|c_Lambda_OdB_OVar(A)=B.
% 6.05/6.23 ** KEPT (pick-wt=22): 75 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 6.05/6.23 ** KEPT (pick-wt=11): 76 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 6.05/6.23 ** KEPT (pick-wt=20): 77 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 6.05/6.23 ** KEPT (pick-wt=23): 78 [] A=B| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),E,tc_Lambda_OdB,tc_Lambda_OdB),B)| -c_Type_Otyping(C,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(D),E,tc_Lambda_OdB,tc_Lambda_OdB),A).
% 6.05/6.23 ** KEPT (pick-wt=14): 79 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|B=D.
% 6.05/6.23 ** KEPT (pick-wt=14): 80 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=hAPP(hAPP(c_Lambda_OdB_OApp,C),D)|A=C.
% 6.05/6.23 ** KEPT (pick-wt=11): 81 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 6.05/6.23 ** KEPT (pick-wt=18): 82 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|B=D.
% 6.05/6.23 ** KEPT (pick-wt=18): 83 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 6.05/6.23 ** KEPT (pick-wt=13): 84 [] c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(C)|A=c_Lambda_OdB_OAbs(C).
% 6.05/6.23 ** KEPT (pick-wt=19): 85 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))|C=D| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D)).
% 6.05/6.23 Following clause subsumed by 85 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))|C=D| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D)).
% 6.05/6.23 ** KEPT (pick-wt=26): 86 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,C,B,tc_Lambda_OdB,tc_Lambda_OdB)))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),A),C)).
% 6.05/6.23 ** KEPT (pick-wt=20): 87 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=20): 88 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 6.05/6.23 ** KEPT (pick-wt=14): 89 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 6.05/6.23 ** KEPT (pick-wt=14): 90 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 6.05/6.23 ** KEPT (pick-wt=12): 91 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(A,c_Lambda_OdB_OVar(B),C)))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.05/6.23 ** KEPT (pick-wt=8): 92 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 6.05/6.23 ** KEPT (pick-wt=18): 93 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|B=D.
% 6.05/6.23 ** KEPT (pick-wt=18): 94 [] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB)|A=C.
% 6.05/6.23 ** KEPT (pick-wt=8): 95 [] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 6.05/6.23 ** KEPT (pick-wt=24): 96 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),E)).
% 6.05/6.23 ** KEPT (pick-wt=8): 97 [] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OVar(B)|A=B.
% 6.05/6.23 ** KEPT (pick-wt=8): 98 [] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 6.05/6.23 ** KEPT (pick-wt=5): 99 [] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 6.05/6.23 ** KEPT (pick-wt=25): 100 [] hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_fun(D,tc_bool))),E),F))| -hBOOL(hAPP(hAPP(B,E),F))| -hBOOL(hAPP(hAPP(A,E),F)).
% 6.05/6.23 ** KEPT (pick-wt=22): 101 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 6.05/6.23 ** KEPT (pick-wt=22): 102 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),E)).
% 6.05/6.23 ** KEPT (pick-wt=22): 103 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(A,E),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),E)).
% 6.05/6.23 ** KEPT (pick-wt=22): 104 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),E),D))| -hBOOL(hAPP(hAPP(A,C),E)).
% 6.05/6.24 ** KEPT (pick-wt=14): 105 [] c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 6.05/6.24 Following clause subsumed by 105 during input processing: 0 [] c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 6.05/6.24 ** KEPT (pick-wt=15): 106 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(A,C,D)))| -c_Wellfounded_Oaccp(C,B,D).
% 6.05/6.24 ** KEPT (pick-wt=21): 107 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(D,C),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(A,D,E)))| -c_Wellfounded_Oaccp(D,B,E).
% 6.05/6.24 ** KEPT (pick-wt=14): 108 [] c_Type_Otyping(A,B,C)| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,D),B))| -c_Type_Otyping(A,D,C).
% 6.05/6.24 ** KEPT (pick-wt=7): 109 [] c_Wellfounded_Oaccp(A,B,C)| -c_Wellfounded_OwfP(A,C).
% 6.05/6.24 ** KEPT (pick-wt=7): 110 [] -hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(A)),B)).
% 6.05/6.24 ** KEPT (pick-wt=22): 111 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(A,B),B,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(A,B,B),B),C),D)).
% 6.05/6.24 ** KEPT (pick-wt=22): 112 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(A,B,B),B),C),D))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(A,B),B,B),C),D)).
% 6.05/6.24 ** KEPT (pick-wt=10): 113 [] hAPP(A,B)=C| -c_Type_Otyping(A,c_Lambda_OdB_OVar(B),C).
% 6.05/6.24 ** KEPT (pick-wt=11): 114 [] -c_Wellfounded_Oaccp(A,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(A,B,C),C)|c_Wellfounded_Oaccp(A,B,C).
% 6.05/6.24 ** KEPT (pick-wt=11): 115 [] hBOOL(hAPP(c_InductTermi_OIT,A))| -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),A,tc_Lambda_OdB).
% 6.05/6.24 ** KEPT (pick-wt=11): 116 [] c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),A,tc_Lambda_OdB)| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 6.05/6.24 ** KEPT (pick-wt=16): 117 [] c_Wellfounded_Oaccp(A,B,C)| -c_Wellfounded_Oaccp(A,D,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,C),B),D)).
% 6.05/6.24 Following clause subsumed by 117 during input processing: 0 [] c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,C),B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 6.05/6.24 ** KEPT (pick-wt=18): 118 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),D)).
% 6.05/6.24 ** KEPT (pick-wt=14): 119 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xaccp__Xinducts__1(A,C)))| -c_Wellfounded_Oaccp(C,B,t_a).
% 6.05/6.24 ** KEPT (pick-wt=20): 120 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(D,C),v_sko__Wellfounded__Xaccp__Xinducts__1(A,D)))| -c_Wellfounded_Oaccp(D,B,t_a).
% 6.05/6.24 ** KEPT (pick-wt=40): 121 [] -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)),C,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)| -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),B,tc_Lambda_OdB)|c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B),C,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB).
% 6.05/6.24 ** KEPT (pick-wt=14): 122 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xaccp__Xinduct__1(A,C)))| -c_Wellfounded_Oaccp(C,B,t_a).
% 6.05/6.24 ** KEPT (pick-wt=20): 123 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(D,C),v_sko__Wellfounded__Xaccp__Xinduct__1(A,D)))| -c_Wellfounded_Oaccp(D,B,t_a).
% 6.05/6.24 ** KEPT (pick-wt=15): 124 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 6.05/6.24 ** KEPT (pick-wt=15): 125 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 6.05/6.24 Following clause subsumed by 124 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 6.05/6.24 Following clause subsumed by 125 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 6.05/6.24 ** KEPT (pick-wt=20): 126 [] hBOOL(hAPP(A,B))|c_Wellfounded_Oaccp(C,D,t_a)| -hBOOL(hAPP(hAPP(C,D),v_sko__Wellfounded__Xaccp__Xinducts__1(A,C)))| -c_Wellfounded_Oaccp(C,B,t_a).
% 6.05/6.24 ** KEPT (pick-wt=20): 127 [] hBOOL(hAPP(A,B))|c_Wellfounded_Oaccp(C,D,t_a)| -hBOOL(hAPP(hAPP(C,D),v_sko__Wellfounded__Xaccp__Xinduct__1(A,C)))| -c_Wellfounded_Oaccp(C,B,t_a).
% 6.05/6.24 ** KEPT (pick-wt=19): 128 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(A,B,B),B),D),C)).
% 6.05/6.24 ** KEPT (pick-wt=19): 129 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(A,B,B),B),C),D))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),D),C)).
% 6.05/6.24 ** KEPT (pick-wt=15): 130 [] hBOOL(hAPP(A,B))|c_Wellfounded_Oaccp(C,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(A,C,D),D)| -c_Wellfounded_Oaccp(C,B,D).
% 6.05/6.24 ** KEPT (pick-wt=11): 131 [] c_Wellfounded_Oaccp(A,B,C)| -c_Wellfounded_Oaccp(A,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(A,B,C),C).
% 6.05/6.24 ** KEPT (pick-wt=11): 132 [] c_Wellfounded_Oaccp(A,B,C)| -c_Wellfounded_Oaccp(A,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(A,B,C),C).
% 6.05/6.24 ** KEPT (pick-wt=20): 133 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,A),C)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,B),C)).
% 6.05/6.24 ** KEPT (pick-wt=20): 134 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),hAPP(hAPP(c_Lambda_OdB_OApp,C),B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 6.05/6.24 ** KEPT (pick-wt=15): 135 [] hBOOL(hAPP(A,B))|c_Wellfounded_Oaccp(C,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(A,C,D),D)| -c_Wellfounded_Oaccp(C,B,D).
% 6.05/6.24 ** KEPT (pick-wt=16): 136 [] c_Type_Otyping(A,B,C)| -c_Type_Otyping(A,D,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),D),B)).
% 6.05/6.24 ** KEPT (pick-wt=16): 137 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),C)).
% 6.05/6.24 ** KEPT (pick-wt=15): 138 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(A,C,D)))| -c_Wellfounded_Oaccp(C,B,D).
% 6.05/6.24 ** KEPT (pick-wt=21): 139 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(D,C),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(A,D,E)))| -c_Wellfounded_Oaccp(D,B,E).
% 6.05/6.24 ** KEPT (pick-wt=8): 140 [] hBOOL(hAPP(c_InductTermi_OIT,A))| -c_Type_Otyping(B,A,C).
% 6.05/6.24 ** KEPT (pick-wt=14): 141 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(A)),c_Lambda_OdB_OAbs(B)))| -hBOOL(hAPP(hAPP(c_Lambda_Obeta,A),B)).
% 6.05/6.24 ** KEPT (pick-wt=7): 142 [] -c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB).
% 6.05/6.24 ** KEPT (pick-wt=6): 143 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 6.05/6.24 ** KEPT (pick-wt=6): 144 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 6.05/6.24 ** KEPT (pick-wt=6): 145 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 6.05/6.24 ** KEPT (pick-wt=6): 146 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 6.05/6.24 ** KEPT (pick-wt=10): 147 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 6.05/6.24 Following clause subsumed by 73 during input processing: 0 [copy,21,flip.1] c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 6.05/6.24 ** KEPT (pick-wt=14): 149 [copy,22,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C)),D).
% 6.05/6.24 Following clause subsumed by 99 during input processing: 0 [copy,60,flip.1] c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 6.05/6.24 ** KEPT (pick-wt=15): 153 [copy,67,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.24 Following clause subsumed by 21 during input processing: 0 [copy,73,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 6.05/6.24 Following clause subsumed by 98 during input processing: 0 [copy,95,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 6.05/6.24 Following clause subsumed by 95 during input processing: 0 [copy,98,flip.1] c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 6.05/6.24 Following clause subsumed by 60 during input processing: 0 [copy,99,flip.1] c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 6.05/6.24 Following clause subsumed by 22 during input processing: 0 [copy,149,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.24 Following clause subsumed by 67 during input processing: 0 [copy,153,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 6.05/6.24
% 6.05/6.24 ------------> process sos:
% 6.05/6.24 ** KEPT (pick-wt=3): 160 [] A=A.
% 6.05/6.24 ** KEPT (pick-wt=11): 162 [copy,161,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(A).
% 6.05/6.24 ---> New Demodulator: 163 [new_demod,162] c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(A).
% 6.05/6.24 Following clause subsumed by 160 during input processing: 0 [demod,163] c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 6.05/6.24 ** KEPT (pick-wt=17): 165 [copy,164,flip.1] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 6.05/6.24 ---> New Demodulator: 166 [new_demod,165] c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,A),B),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 6.05/6.24 ** KEPT (pick-wt=9): 167 [] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 6.05/6.24 ---> New Demodulator: 168 [new_demod,167] hAPP(c_Type_Oshift(A,B,C,D),B)=C.
% 6.05/6.24 ** KEPT (pick-wt=9): 169 [] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 6.05/6.24 ---> New Demodulator: 170 [new_demod,169] c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 6.05/6.24 ** KEPT (pick-wt=5): 171 [] c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 6.05/6.24 Following clause subsumed by 160 during input processing: 0 [demod,170] c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 6.05/6.24 ** KEPT (pick-wt=9): 172 [] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 6.05/6.24 ---> New Demodulator: 173 [new_demod,172] c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(A,B),B)=c_Transitive__Closure_Ortranclp(A,B).
% 6.05/6.24 ** KEPT (pick-wt=8): 174 [] c_Lambda_Osubst(c_Lambda_Olift(A,B),C,B)=A.
% 6.05/6.24 ---> New Demodulator: 175 [new_demod,174] c_Lambda_Osubst(c_Lambda_Olift(A,B),C,B)=A.
% 6.05/6.24 ** KEPT (pick-wt=8): 176 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 6.05/6.24 Following clause subsumed by 176 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 6.05/6.24 ** KEPT (pick-wt=17): 178 [copy,177,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,A),C),B).
% 6.05/6.24 ---> New Demodulator: 179 [new_demod,178] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(A,B)),c_Lambda_Olift(C,B))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,A),C),B).
% 6.05/6.24 ** KEPT (pick-wt=5): 180 [] hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(A))).
% 6.05/6.24 ** KEPT (pick-wt=15): 181 [] hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)),c_Lambda_Osubst(A,B,c_HOL_Ozero__class_Ozero(tc_nat)))).
% 6.05/6.24 ** KEPT (pick-wt=15): 182 [] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(A,c_fe_qual(B),tc_fun(B,tc_fun(B,tc_bool))),B)=c_Transitive__Closure_Ortranclp(A,B).
% 6.05/6.24 ---> New Demodulator: 183 [new_demod,182] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(A,c_fe_qual(B),tc_fun(B,tc_fun(B,tc_bool))),B)=c_Transitive__Closure_Ortranclp(A,B).
% 6.05/6.24 ** KEPT (pick-wt=25): 184 [] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(A,B),c_Transitive__Closure_Ortranclp(C,B),tc_fun(B,tc_fun(B,tc_bool))),B)=c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_fun(B,tc_bool))),B).
% 6.05/6.24 ---> New Demodulator: 185 [new_demod,184] c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(A,B),c_Transitive__Closure_Ortranclp(C,B),tc_fun(B,tc_fun(B,tc_bool))),B)=c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_fun(B,tc_bool))),B).
% 6.05/6.24 ** KEPT (pick-wt=15): 186 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(A,B),c_fe_qual(B),tc_fun(B,tc_fun(B,tc_bool)))=c_Transitive__Closure_Ortranclp(A,B).
% 6.05/6.24 ---> New Demodulator: 187 [new_demod,186] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(A,B),c_fe_qual(B),tc_fun(B,tc_fun(B,tc_bool)))=c_Transitive__Closure_Ortranclp(A,B).
% 6.05/6.24 ** KEPT (pick-wt=7): 188 [] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 6.05/6.24 ---> New Demodulator: 189 [new_demod,188] c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,A)=B.
% 6.05/6.24 ** KEPT (pick-wt=20): 191 [copy,190,flip.1] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 6.05/6.24 ---> New Demodulator: 192 [new_demod,191] hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(A,B,C)),c_Lambda_Osubst(D,B,C))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,A),D),B,C).
% 6.05/6.24 ** KEPT (pick-wt=13): 193 [] hBOOL(hAPP(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(A,B,C)),B))|c_Wellfounded_Oaccp(A,B,C).
% 6.05/6.24 ** KEPT (pick-wt=9): 194 [] c_Predicate_Oconversep(c_Predicate_Oconversep(A,B,C),C,B)=A.
% 6.05/6.24 ---> New Demodulator: 195 [new_demod,194] c_Predicate_Oconversep(c_Predicate_Oconversep(A,B,C),C,B)=A.
% 6.05/6.24 ** KEPT (pick-wt=13): 196 [] c_Wellfounded_Oaccp(A,B,C)|hBOOL(hAPP(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(A,B,C)),B)).
% 6.05/6.24 ** KEPT (pick-wt=8): 197 [] c_Predicate_Oconversep(c_fe_qual(A),A,A)=c_fe_qual(A).
% 6.05/6.24 ---> New Demodulator: 198 [new_demod,197] c_Predicate_Oconversep(c_fe_qual(A),A,A)=c_fe_qual(A).
% 6.05/6.24 ** KEPT (pick-wt=13): 199 [] c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(A,B,B),B)=c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(A,B),B,B).
% 6.05/6.24 ---> New Demodulator: 200 [new_demod,199] c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(A,B,B),B)=c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(A,B),B,B).
% 6.05/6.24 ** KEPT (pick-wt=26): 201 [] c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 6.05/6.24 ** KEPT (pick-wt=7): 202 [] c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)).
% 6.05/6.24 ** KEPT (pick-wt=26): 203 [] c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 6.05/6.24 ** KEPT (pick-wt=13): 204 [] c_Wellfounded_Oaccp(A,B,C)|hBOOL(hAPP(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(A,B,C)),B)).
% 6.05/6.24 ** KEPT (pick-wt=22): 205 [] c_Predicate_Oconversep(c_Predicate_Opred__comp(A,B,C,D,E),C,E)=c_Predicate_Opred__comp(c_Predicate_Oconversep(B,D,E),c_Predicate_Oconversep(A,C,D),E,D,C).
% 6.05/6.24 ---> New Demodulator: 206 [new_demod,205] c_Predicate_Oconversep(c_Predicate_Opred__comp(A,B,C,D,E),C,E)=c_Predicate_Opred__comp(c_Predicate_Oconversep(B,D,E),c_Predicate_Oconversep(A,C,D),E,D,C).
% 6.05/6.24 ** KEPT (pick-wt=4): 207 [] c_Type_Otyping(v_e,v_t,v_T).
% 6.05/6.24 ** KEPT (pick-wt=2): 208 [] class_Lattices_Oupper__semilattice(tc_nat).
% 6.05/6.24 ** KEPT (pick-wt=2): 209 [] class_Lattices_Olower__semilattice(tc_nat).
% 6.05/6.24 ** KEPT (pick-wt=2): 210 [] class_Lattices_Odistrib__lattice(tc_nat).
% 6.05/6.24 ** KEPT (pick-wt=2): 211 [] class_Lattices_Olattice(tc_nat).
% 6.05/6.24 ** KEPT (pick-wt=2): 212 [] class_Lattices_Oupper__semilattice(tc_bool).
% 6.05/6.24 ** KEPT (pick-wt=2): 213 [] class_Lattices_Olower__semilattice(tc_bool).
% 6.05/6.24 ** KEPT (pick-wt=2): 214 [] class_Lattices_Odistrib__lattice(tc_bool).
% 6.05/6.24 ** KEPT (pick-wt=2): 215 [] class_Lattices_Olattice(tc_bool).
% 6.05/6.24 ** KEPT (pick-wt=7): 216 [] hBOOL(hAPP(hAPP(c_fe_qual(A),B),B)).
% 6.05/6.24 Following clause subsumed by 160 during input processing: 0 [copy,160,flip.1] A=A.
% 6.18/6.34 160 back subsumes 154.
% 6.18/6.34 >>>> Starting back demodulation with 163.
% 6.18/6.34 >>>> Starting back demodulation with 166.
% 6.18/6.34 >>>> Starting back demodulation with 168.
% 6.18/6.34 >>>> Starting back demodulation with 170.
% 6.18/6.34 >> back demodulating 165 with 170.
% 6.18/6.34 >> back demodulating 162 with 170.
% 6.18/6.34 >> back demodulating 12 with 170.
% 6.18/6.34 >>>> Starting back demodulation with 173.
% 6.18/6.34 >>>> Starting back demodulation with 175.
% 6.18/6.34 >>>> Starting back demodulation with 179.
% 6.18/6.34 >>>> Starting back demodulation with 183.
% 6.18/6.34 >>>> Starting back demodulation with 185.
% 6.18/6.34 >>>> Starting back demodulation with 187.
% 6.18/6.34 >>>> Starting back demodulation with 189.
% 6.18/6.34 >>>> Starting back demodulation with 192.
% 6.18/6.34 >>>> Starting back demodulation with 195.
% 6.18/6.34 >>>> Starting back demodulation with 198.
% 6.18/6.34 >>>> Starting back demodulation with 200.
% 6.18/6.34 >> back demodulating 112 with 200.
% 6.18/6.34 >> back demodulating 111 with 200.
% 6.18/6.34 ** KEPT (pick-wt=26): 217 [copy,201,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(A,B,C),c_Predicate_Oconversep(D,B,C),tc_fun(C,tc_fun(B,tc_bool)))=c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(B,tc_fun(C,tc_bool))),B,C).
% 6.18/6.34 ** KEPT (pick-wt=26): 218 [copy,203,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(A,B,C),c_Predicate_Oconversep(D,B,C),tc_fun(C,tc_fun(B,tc_bool)))=c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(B,tc_fun(C,tc_bool))),B,C).
% 6.18/6.34 >>>> Starting back demodulation with 206.
% 6.18/6.34 Following clause subsumed by 201 during input processing: 0 [copy,217,flip.1] c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 6.18/6.34 Following clause subsumed by 203 during input processing: 0 [copy,218,flip.1] c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 6.18/6.34
% 6.18/6.34 ======= end of input processing =======
% 6.18/6.34
% 6.18/6.34 =========== start of search ===========
% 6.18/6.34
% 6.18/6.34
% 6.18/6.34 Resetting weight limit to 2.
% 6.18/6.34
% 6.18/6.34
% 6.18/6.34 Resetting weight limit to 2.
% 6.18/6.34
% 6.18/6.34 sos_size=81
% 6.18/6.34
% 6.18/6.34 Search stopped because sos empty.
% 6.18/6.34
% 6.18/6.34
% 6.18/6.34 Search stopped because sos empty.
% 6.18/6.34
% 6.18/6.34 ============ end of search ============
% 6.18/6.34
% 6.18/6.34 -------------- statistics -------------
% 6.18/6.34 clauses given 85
% 6.18/6.34 clauses generated 8214
% 6.18/6.34 clauses kept 242
% 6.18/6.34 clauses forward subsumed 62
% 6.18/6.34 clauses back subsumed 1
% 6.18/6.34 Kbytes malloced 4882
% 6.18/6.34
% 6.18/6.34 ----------- times (seconds) -----------
% 6.18/6.34 user CPU time 0.12 (0 hr, 0 min, 0 sec)
% 6.18/6.34 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 6.18/6.34 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.18/6.34
% 6.18/6.34 Process 14490 finished Wed Jul 27 09:29:10 2022
% 6.18/6.34 Otter interrupted
% 6.18/6.34 PROOF NOT FOUND
%------------------------------------------------------------------------------