TSTP Solution File: SWV347-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV347-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 May 31 12:41:26 EDT 2023

% Result   : Unsatisfiable 0.12s 0.33s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV347-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue May 30 11:58:53 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.33  % Drodi V3.5.1
% 0.12/0.33  % Refutation found
% 0.12/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.33  % SZS output start CNFRefutation for theBenchmark
% 0.12/0.33  fof(f1,axiom,(
% 0.12/0.33    (![V_evs,V_S_H,V_X_H,V_B_H,V_A_H,V_NA_H,V_nb,V_C,V_S,V_X,V_B,V_A,V_NA]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| V_A_H = V_A ) ))),
% 0.12/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.33  fof(f2,negated_conjecture,(
% 0.12/0.33    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 0.12/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.33  fof(f3,negated_conjecture,(
% 0.12/0.33    c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
% 0.12/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.33  fof(f4,negated_conjecture,(
% 0.12/0.33    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.12/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.33  fof(f5,negated_conjecture,(
% 0.12/0.33    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.12/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.33  fof(f6,negated_conjecture,(
% 0.12/0.33    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.12/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.33  fof(f7,negated_conjecture,(
% 0.12/0.33    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
% 0.12/0.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.33  fof(f8,plain,(
% 0.12/0.33    ![V_A_H,V_A]: ((![V_evs,V_nb]: (((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_S_H,V_X_H,V_B_H,V_NA_H]: ~c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|(![V_C,V_S,V_X,V_B,V_NA]: ~c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|V_A_H=V_A)),
% 0.12/0.33    inference(miniscoping,[status(esa)],[f1])).
% 0.12/0.33  fof(f9,plain,(
% 0.12/0.33    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(X7,X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|X4=X11)),
% 0.12/0.33    inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.33  fof(f10,plain,(
% 0.12/0.33    ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.12/0.33    inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.33  fof(f11,plain,(
% 0.12/0.33    c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)),
% 0.12/0.33    inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.33  fof(f12,plain,(
% 0.12/0.33    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.12/0.33    inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.33  fof(f13,plain,(
% 0.12/0.33    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.12/0.33    inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.33  fof(f14,plain,(
% 0.12/0.33    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.12/0.33    inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.33  fof(f15,plain,(
% 0.12/0.33    ~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.12/0.33    inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.33  fof(f16,plain,(
% 0.12/0.33    spl0_0 <=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.12/0.33    introduced(split_symbol_definition)).
% 0.12/0.33  fof(f18,plain,(
% 0.12/0.33    ~c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|spl0_0),
% 0.12/0.33    inference(component_clause,[status(thm)],[f16])).
% 0.12/0.33  fof(f19,plain,(
% 0.12/0.33    spl0_1 <=> ~c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|v_Aa=X4),
% 0.12/0.33    introduced(split_symbol_definition)).
% 0.12/0.33  fof(f20,plain,(
% 0.12/0.33    ![X0,X1,X2,X3,X4,X5]: (~c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|v_Aa=X4|~spl0_1)),
% 0.12/0.33    inference(component_clause,[status(thm)],[f19])).
% 0.12/0.33  fof(f22,plain,(
% 0.12/0.33    spl0_2 <=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.12/0.33    introduced(split_symbol_definition)).
% 0.12/0.33  fof(f23,plain,(
% 0.12/0.33    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~spl0_2),
% 0.12/0.33    inference(component_clause,[status(thm)],[f22])).
% 0.12/0.33  fof(f25,plain,(
% 0.12/0.33    ![X0,X1,X2,X3,X4,X5]: (~c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|v_Aa=X4)),
% 0.12/0.33    inference(resolution,[status(thm)],[f9,f13])).
% 0.12/0.33  fof(f26,plain,(
% 0.12/0.33    ~spl0_0|spl0_1|spl0_2),
% 0.12/0.33    inference(split_clause,[status(thm)],[f25,f16,f19,f22])).
% 0.12/0.33  fof(f27,plain,(
% 0.12/0.33    $false|spl0_0),
% 0.12/0.33    inference(forward_subsumption_resolution,[status(thm)],[f18,f12])).
% 0.12/0.33  fof(f28,plain,(
% 0.12/0.33    spl0_0),
% 0.12/0.33    inference(contradiction_clause,[status(thm)],[f27])).
% 0.12/0.33  fof(f29,plain,(
% 0.12/0.33    v_Aa=v_A|~spl0_1),
% 0.12/0.33    inference(resolution,[status(thm)],[f20,f14])).
% 0.12/0.33  fof(f32,plain,(
% 0.12/0.33    c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~spl0_1),
% 0.12/0.33    inference(backward_demodulation,[status(thm)],[f29,f11])).
% 0.12/0.33  fof(f33,plain,(
% 0.12/0.33    $false|~spl0_1),
% 0.12/0.33    inference(forward_subsumption_resolution,[status(thm)],[f32,f10])).
% 0.12/0.33  fof(f34,plain,(
% 0.12/0.33    ~spl0_1),
% 0.12/0.33    inference(contradiction_clause,[status(thm)],[f33])).
% 0.12/0.33  fof(f35,plain,(
% 0.12/0.33    $false|~spl0_2),
% 0.17/0.35    inference(forward_subsumption_resolution,[status(thm)],[f23,f15])).
% 0.17/0.35  fof(f36,plain,(
% 0.17/0.35    ~spl0_2),
% 0.17/0.35    inference(contradiction_clause,[status(thm)],[f35])).
% 0.17/0.35  fof(f37,plain,(
% 0.17/0.35    $false),
% 0.17/0.35    inference(sat_refutation,[status(thm)],[f26,f28,f34,f36])).
% 0.17/0.35  % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.35  % Elapsed time: 0.022364 seconds
% 0.17/0.35  % CPU time: 0.029757 seconds
% 0.17/0.35  % Memory used: 11.473 MB
%------------------------------------------------------------------------------