TSTP Solution File: SWV345-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV345-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 12:41:25 EDT 2023

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV345-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue May 30 11:39:04 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36  fof(f1,axiom,(
% 0.14/0.36    (![V_evs,V_A_H,V_B_H,V_K,V_na_H,V_nb_H,V_X_H,V_A,V_B,V_na,V_nb,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| V_nb = V_nb_H ) ))),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f2,negated_conjecture,(
% 0.14/0.36    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f3,negated_conjecture,(
% 0.14/0.36    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f4,negated_conjecture,(
% 0.14/0.36    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f5,negated_conjecture,(
% 0.14/0.36    v_nb != c_Message_Omsg_ONonce(v_NB) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f6,plain,(
% 0.14/0.36    ![V_nb_H,V_nb]: ((![V_evs,V_K]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_A_H,V_B_H,V_na_H,V_X_H]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))|(![V_A,V_B,V_na,V_X]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))))|V_nb=V_nb_H)),
% 0.14/0.36    inference(miniscoping,[status(esa)],[f1])).
% 0.14/0.36  fof(f7,plain,(
% 0.14/0.36    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|X10=X5)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f8,plain,(
% 0.14/0.36    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.36  fof(f9,plain,(
% 0.14/0.36    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.36  fof(f10,plain,(
% 0.14/0.36    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.36  fof(f11,plain,(
% 0.14/0.36    ~v_nb=c_Message_Omsg_ONonce(v_NB)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.36  fof(f12,plain,(
% 0.14/0.36    spl0_0 <=> c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f14,plain,(
% 0.14/0.36    ~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|spl0_0),
% 0.14/0.36    inference(component_clause,[status(thm)],[f12])).
% 0.14/0.36  fof(f15,plain,(
% 0.14/0.36    spl0_1 <=> ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|X3=v_nb),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f16,plain,(
% 0.14/0.36    ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|X3=v_nb|~spl0_1)),
% 0.14/0.36    inference(component_clause,[status(thm)],[f15])).
% 0.14/0.36  fof(f18,plain,(
% 0.14/0.36    ![X0,X1,X2,X3,X4]: (~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)|X3=v_nb)),
% 0.14/0.36    inference(resolution,[status(thm)],[f7,f10])).
% 0.14/0.36  fof(f19,plain,(
% 0.14/0.36    ~spl0_0|spl0_1),
% 0.14/0.36    inference(split_clause,[status(thm)],[f18,f12,f15])).
% 0.14/0.36  fof(f25,plain,(
% 0.14/0.36    $false|spl0_0),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f14,f8])).
% 0.14/0.36  fof(f26,plain,(
% 0.14/0.36    spl0_0),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f25])).
% 0.14/0.36  fof(f27,plain,(
% 0.14/0.36    c_Message_Omsg_ONonce(v_NB)=v_nb|~spl0_1),
% 0.14/0.36    inference(resolution,[status(thm)],[f16,f9])).
% 0.14/0.36  fof(f28,plain,(
% 0.14/0.36    $false|~spl0_1),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f27,f11])).
% 0.14/0.36  fof(f29,plain,(
% 0.14/0.36    ~spl0_1),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f28])).
% 0.14/0.36  fof(f30,plain,(
% 0.14/0.36    $false),
% 0.14/0.36    inference(sat_refutation,[status(thm)],[f19,f26,f29])).
% 0.14/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.58  % Elapsed time: 0.011349 seconds
% 0.25/0.58  % CPU time: 0.028350 seconds
% 0.25/0.58  % Memory used: 4.036 MB
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