%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV360-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:50:38 PM UTC 2026
% Result : Unsatisfiable 0.40s 0.83s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV360-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:42:58 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.25/0.58 % Drodi V4.1.1
% 0.40/0.83 % Refutation found
% 0.40/0.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.40/0.83 % SZS output start CNFRefutation for theBenchmark
% 0.40/0.83 fof(f2956,axiom,(
% 0.40/0.83 (![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_NA_H = V_NA ) ))),
% 0.40/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.83 fof(f2957,axiom,(
% 0.40/0.83 (![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 ) ))),
% 0.40/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.83 fof(f2967,negated_conjecture,(
% 0.40/0.83 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 0.40/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.83 fof(f2969,negated_conjecture,(
% 0.40/0.83 c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
% 0.40/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.83 fof(f2970,negated_conjecture,(
% 0.40/0.83 c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.40/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.83 fof(f2973,negated_conjecture,(
% 0.40/0.83 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) ),
% 0.40/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.83 fof(f2975,negated_conjecture,(
% 0.40/0.83 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) ),
% 0.40/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.83 fof(f2976,negated_conjecture,(
% 0.40/0.83 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
% 0.40/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.40/0.83 fof(f6602,plain,(
% 0.40/0.83 ![V_NA_H,V_NA]: ((![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_A_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_A]: ~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_NA_H=V_NA)),
% 0.40/0.83 inference(miniscoping,[status(thm)],[f2956])).
% 0.40/0.83 fof(f6603,plain,(
% 0.40/0.83 ![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)|X5=X12)),
% 0.40/0.83 inference(cnf_transformation,[status(thm)],[f6602])).
% 0.40/0.83 fof(f6604,plain,(
% 0.40/0.83 ![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)),
% 0.40/0.83 inference(miniscoping,[status(thm)],[f2957])).
% 0.40/0.83 fof(f6605,plain,(
% 0.40/0.83 ![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)),
% 0.40/0.83 inference(cnf_transformation,[status(thm)],[f6604])).
% 0.40/0.83 fof(f6624,plain,(
% 0.40/0.83 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.40/0.83 inference(cnf_transformation,[status(thm)],[f2967])).
% 0.40/0.83 fof(f6626,plain,(
% 0.40/0.83 c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)),
% 0.40/0.83 inference(cnf_transformation,[status(thm)],[f2969])).
% 0.40/0.83 fof(f6627,plain,(
% 0.40/0.83 c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.40/0.83 inference(cnf_transformation,[status(thm)],[f2970])).
% 0.40/0.83 fof(f6630,plain,(
% 0.40/0.83 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)),
% 0.40/0.83 inference(cnf_transformation,[status(thm)],[f2973])).
% 0.40/0.83 fof(f6632,plain,(
% 0.40/0.83 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)),
% 0.40/0.83 inference(cnf_transformation,[status(thm)],[f2975])).
% 0.40/0.83 fof(f6633,plain,(
% 0.40/0.83 ~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.40/0.83 inference(cnf_transformation,[status(thm)],[f2976])).
% 0.40/0.83 fof(f8182,plain,(
% 0.40/0.83 ![X0,X1,X2,X3,X4]: (~c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),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)|X4=v_NA)),
% 0.40/0.86 inference(resolution,[status(thm)],[f6603,f6632])).
% 0.40/0.86 fof(f8185,plain,(
% 0.40/0.86 ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),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)|X4=v_NA)),
% 0.40/0.86 inference(forward_subsumption_resolution,[status(thm)],[f8182,f6627])).
% 0.40/0.86 fof(f8188,plain,(
% 0.40/0.86 ![X0,X1,X2,X3,X4]: (~c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),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)|X3=v_A)),
% 0.40/0.86 inference(resolution,[status(thm)],[f6605,f6632])).
% 0.40/0.86 fof(f8191,plain,(
% 0.40/0.86 ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),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)|X3=v_A)),
% 0.40/0.86 inference(forward_subsumption_resolution,[status(thm)],[f8188,f6627])).
% 0.40/0.86 fof(f8389,plain,(
% 0.40/0.86 ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|X4=v_NA)),
% 0.40/0.86 inference(forward_subsumption_resolution,[status(thm)],[f8185,f6633])).
% 0.40/0.86 fof(f8390,plain,(
% 0.40/0.86 v_NAa=v_NA),
% 0.40/0.86 inference(resolution,[status(thm)],[f8389,f6630])).
% 0.40/0.86 fof(f8392,plain,(
% 0.40/0.86 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_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.40/0.86 inference(backward_demodulation,[status(thm)],[f8390,f6630])).
% 0.40/0.86 fof(f8659,plain,(
% 0.40/0.86 ![X0,X1,X2,X3,X4]: (~c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|X3=v_A)),
% 0.40/0.86 inference(forward_subsumption_resolution,[status(thm)],[f8191,f6633])).
% 0.40/0.86 fof(f8660,plain,(
% 0.40/0.86 v_Aa=v_A),
% 0.40/0.86 inference(resolution,[status(thm)],[f8659,f8392])).
% 0.40/0.86 fof(f8667,plain,(
% 0.40/0.86 ~c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)),
% 0.40/0.86 inference(backward_demodulation,[status(thm)],[f8660,f6624])).
% 0.40/0.86 fof(f8668,plain,(
% 0.40/0.86 $false),
% 0.40/0.86 inference(forward_subsumption_resolution,[status(thm)],[f8667,f6626])).
% 0.40/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 0.40/0.88 % Elapsed time: 0.506116 seconds
% 0.40/0.88 % CPU time: 2.215747 seconds
% 0.40/0.88 % Total memory used: 246.712 MB
% 0.40/0.88 % Net memory used: 245.923 MB
%------------------------------------------------------------------------------