TSTP Solution File: SWV793-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV793-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Tue Apr 30 20:49:20 EDT 2024
% Result : Unsatisfiable 27.33s 3.84s
% Output : CNFRefutation 28.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV793-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 01:10:43 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 27.33/3.84 % Refutation found
% 27.33/3.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 27.33/3.84 % SZS output start CNFRefutation for theBenchmark
% 27.33/3.84 fof(f8,axiom,(
% 27.33/3.84 (![V_c,V_A,V_B,T_a]: (( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| ~ c_in(V_c,V_B,T_a) ) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f63,axiom,(
% 27.33/3.84 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x| ~ c_lessequals(V_y,V_x,T_a) ) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f116,axiom,(
% 27.33/3.84 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f342,axiom,(
% 27.33/3.84 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ c_in(V_a,V_A,T_a) ) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f425,axiom,(
% 27.33/3.84 (![V_P,V_evs]: (c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(V_P,V_evs,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f513,axiom,(
% 27.33/3.84 (![V_evs]: (c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f527,axiom,(
% 27.33/3.84 (![V_c,V_evs]: (( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f536,axiom,(
% 27.33/3.84 (![V_X,V_H,V_K]: (( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f560,axiom,(
% 27.33/3.84 (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f588,negated_conjecture,(
% 27.33/3.84 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg) ),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f592,negated_conjecture,(
% 27.33/3.84 v_B = v_Ba ),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f593,negated_conjecture,(
% 27.33/3.84 v_A = v_Aa ),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f596,negated_conjecture,(
% 27.33/3.84 c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f598,axiom,(
% 27.33/3.84 (![T_2,T_1]: (( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| ~ class_Lattices_Olattice(T_1) ) ))),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f616,axiom,(
% 27.33/3.84 class_Lattices_Olattice(tc_bool) ),
% 27.33/3.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.33/3.84 fof(f633,plain,(
% 27.33/3.84 ![V_c,V_B,T_a]: ((![V_A]: c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|~c_in(V_c,V_B,T_a))),
% 27.33/3.84 inference(miniscoping,[status(esa)],[f8])).
% 27.33/3.84 fof(f634,plain,(
% 27.33/3.84 ![X0,X1,X2,X3]: (c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_in(X0,X2,X3))),
% 27.33/3.84 inference(cnf_transformation,[status(esa)],[f633])).
% 27.33/3.84 fof(f720,plain,(
% 27.33/3.84 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X1|~c_lessequals(X2,X1,X0))),
% 27.33/3.84 inference(cnf_transformation,[status(esa)],[f63])).
% 27.33/3.84 fof(f801,plain,(
% 27.33/3.84 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 27.33/3.84 inference(cnf_transformation,[status(esa)],[f116])).
% 27.33/3.84 fof(f1104,plain,(
% 27.33/3.84 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~c_in(X0,X1,X2))),
% 27.33/3.84 inference(cnf_transformation,[status(esa)],[f342])).
% 27.33/3.85 fof(f1208,plain,(
% 27.33/3.85 ![X0,X1]: (c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X0,X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)))),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f425])).
% 27.33/3.85 fof(f1354,plain,(
% 27.33/3.85 ![X0]: (c_Event_Oknows(c_Message_Oagent_OSpy,X0)=c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X0,tc_Event_Oevent)))),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f513])).
% 27.33/3.85 fof(f1374,plain,(
% 27.33/3.85 ![X0,X1]: (c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f527])).
% 27.33/3.85 fof(f1384,plain,(
% 27.33/3.85 ![V_X,V_H]: (c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)|(![V_K]: ~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)))),
% 27.33/3.85 inference(miniscoping,[status(esa)],[f536])).
% 27.33/3.85 fof(f1385,plain,(
% 27.33/3.85 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg))),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f1384])).
% 27.33/3.85 fof(f1417,plain,(
% 27.33/3.85 ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 27.33/3.85 inference(miniscoping,[status(esa)],[f560])).
% 27.33/3.85 fof(f1418,plain,(
% 27.33/3.85 ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f1417])).
% 27.33/3.85 fof(f1454,plain,(
% 27.33/3.85 ~c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg)),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f588])).
% 27.33/3.85 fof(f1458,plain,(
% 27.33/3.85 v_B=v_Ba),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f592])).
% 27.33/3.85 fof(f1459,plain,(
% 27.33/3.85 v_A=v_Aa),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f593])).
% 27.33/3.85 fof(f1462,plain,(
% 27.33/3.85 c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f596])).
% 27.33/3.85 fof(f1464,plain,(
% 27.33/3.85 ![T_1]: ((![T_2]: class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)))|~class_Lattices_Olattice(T_1))),
% 27.33/3.85 inference(miniscoping,[status(esa)],[f598])).
% 27.33/3.85 fof(f1465,plain,(
% 27.33/3.85 ![X0,X1]: (class_Lattices_Oupper__semilattice(tc_fun(X0,X1))|~class_Lattices_Olattice(X1))),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f1464])).
% 27.33/3.85 fof(f1490,plain,(
% 27.33/3.85 class_Lattices_Olattice(tc_bool)),
% 27.33/3.85 inference(cnf_transformation,[status(esa)],[f616])).
% 27.33/3.85 fof(f1521,plain,(
% 27.33/3.85 c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_B,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)),
% 27.33/3.85 inference(forward_demodulation,[status(thm)],[f1458,f1462])).
% 27.33/3.85 fof(f1522,plain,(
% 27.33/3.85 c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)),
% 27.33/3.85 inference(forward_demodulation,[status(thm)],[f1459,f1521])).
% 27.33/3.85 fof(f2728,plain,(
% 27.33/3.85 ![X0]: (c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
% 28.01/3.93 inference(resolution,[status(thm)],[f634,f1522])).
% 28.01/3.93 fof(f6350,plain,(
% 28.01/3.93 ![X0]: (class_Lattices_Oupper__semilattice(tc_fun(X0,tc_bool)))),
% 28.01/3.93 inference(resolution,[status(thm)],[f1465,f1490])).
% 28.01/3.93 fof(f6825,plain,(
% 28.01/3.93 spl0_53 <=> class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool))),
% 28.01/3.93 introduced(split_symbol_definition)).
% 28.01/3.93 fof(f6827,plain,(
% 28.01/3.93 ~class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool))|spl0_53),
% 28.01/3.93 inference(component_clause,[status(thm)],[f6825])).
% 28.01/3.93 fof(f6906,plain,(
% 28.01/3.93 $false|spl0_53),
% 28.01/3.93 inference(forward_subsumption_resolution,[status(thm)],[f6827,f6350])).
% 28.01/3.93 fof(f6907,plain,(
% 28.01/3.93 spl0_53),
% 28.01/3.93 inference(contradiction_clause,[status(thm)],[f6906])).
% 28.01/3.93 fof(f9598,plain,(
% 28.01/3.93 ![X0,X1,X2,X3]: (c_in(X0,c_Set_Oinsert(X0,X1,X2),X3))),
% 28.01/3.93 inference(resolution,[status(thm)],[f1418,f801])).
% 28.01/3.93 fof(f15714,plain,(
% 28.01/3.93 spl0_144 <=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X0,tc_Event_Oevent))),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0))),
% 28.01/3.93 introduced(split_symbol_definition)).
% 28.01/3.93 fof(f15715,plain,(
% 28.01/3.93 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X0,tc_Event_Oevent))),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0))|~spl0_144)),
% 28.01/3.93 inference(component_clause,[status(thm)],[f15714])).
% 28.01/3.93 fof(f15717,plain,(
% 28.01/3.93 ![X0,X1]: (~class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X0,tc_Event_Oevent))),tc_fun(tc_Message_Omsg,tc_bool))=c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)))),
% 28.01/3.93 inference(resolution,[status(thm)],[f720,f1208])).
% 28.01/3.93 fof(f15718,plain,(
% 28.01/3.93 ~spl0_53|spl0_144),
% 28.01/3.93 inference(split_clause,[status(thm)],[f15717,f6825,f15714])).
% 28.01/3.93 fof(f19345,plain,(
% 28.01/3.93 c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(v_evs4,tc_Event_Oevent))),tc_Message_Omsg)|~spl0_144),
% 28.01/3.93 inference(paramodulation,[status(thm)],[f15715,f2728])).
% 28.01/3.93 fof(f19346,plain,(
% 28.01/3.93 c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_144),
% 28.01/3.93 inference(forward_demodulation,[status(thm)],[f1354,f19345])).
% 28.01/3.93 fof(f19380,plain,(
% 28.01/3.93 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_144),
% 28.01/3.93 inference(resolution,[status(thm)],[f19346,f1385])).
% 28.01/3.93 fof(f19407,plain,(
% 28.01/3.93 c_Set_Oinsert(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)=c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))|~spl0_144),
% 28.01/3.93 inference(resolution,[status(thm)],[f19380,f1104])).
% 28.01/3.93 fof(f19604,plain,(
% 28.01/3.93 ![X0]: (c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),X0)|~spl0_144)),
% 28.01/3.93 inference(paramodulation,[status(thm)],[f19407,f9598])).
% 28.01/3.93 fof(f21849,plain,(
% 28.01/3.93 c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg)|~spl0_144),
% 28.01/3.93 inference(resolution,[status(thm)],[f1374,f19604])).
% 28.01/3.93 fof(f21850,plain,(
% 28.01/3.93 $false|~spl0_144),
% 28.01/3.93 inference(forward_subsumption_resolution,[status(thm)],[f21849,f1454])).
% 28.01/3.93 fof(f21851,plain,(
% 28.01/3.93 ~spl0_144),
% 28.01/3.93 inference(contradiction_clause,[status(thm)],[f21850])).
% 28.01/3.93 fof(f21852,plain,(
% 28.01/3.93 $false),
% 28.01/3.93 inference(sat_refutation,[status(thm)],[f6907,f15718,f21851])).
% 28.01/3.93 % SZS output end CNFRefutation for theBenchmark.p
% 28.01/3.96 % Elapsed time: 3.604166 seconds
% 28.01/3.96 % CPU time: 28.065963 seconds
% 28.01/3.96 % Total memory used: 580.176 MB
% 28.01/3.96 % Net memory used: 570.729 MB
%------------------------------------------------------------------------------