%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV324-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 02:50:32 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV324-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n009.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 08:40:57 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.46 fof(f1,negated_conjecture,(
% 0.16/0.46 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f2,negated_conjecture,(
% 0.16/0.46 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f3,negated_conjecture,(
% 0.16/0.46 ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f4,negated_conjecture,(
% 0.16/0.46 ( c_Public_OshrK(v_A) = v_K| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f5,axiom,(
% 0.16/0.46 (![V_A,V_B,V_X,V_evs]: (( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f6,axiom,(
% 0.16/0.46 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f7,axiom,(
% 0.16/0.46 (![V_c,V_H]: (( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f8,axiom,(
% 0.16/0.46 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f9,plain,(
% 0.16/0.46 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.46 fof(f10,plain,(
% 0.16/0.46 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.46 fof(f11,plain,(
% 0.16/0.46 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.46 fof(f12,plain,(
% 0.16/0.46 c_Public_OshrK(v_A)=v_K|c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.46 fof(f13,plain,(
% 0.16/0.46 ![V_X,V_evs]: ((![V_A,V_B]: ~c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f5])).
% 0.16/0.46 fof(f14,plain,(
% 0.16/0.46 ![X0,X1,X2,X3]: (~c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/0.46 fof(f15,plain,(
% 0.16/0.46 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f6])).
% 0.16/0.46 fof(f16,plain,(
% 0.16/0.46 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.46 fof(f17,plain,(
% 0.16/0.46 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.46 fof(f18,plain,(
% 0.16/0.46 ![V_X,V_H]: ((![V_K]: ~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f8])).
% 0.16/0.46 fof(f19,plain,(
% 0.16/0.46 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.46 fof(f20,plain,(
% 0.16/0.46 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f11,f10])).
% 0.16/0.46 fof(f21,plain,(
% 0.16/0.46 ~c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(backward_demodulation,[status(thm)],[f22,f20])).
% 0.16/0.46 fof(f22,plain,(
% 0.16/0.46 c_Public_OshrK(v_A)=v_K),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f12,f10])).
% 0.16/0.46 fof(f23,plain,(
% 0.16/0.46 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(resolution,[status(thm)],[f14,f9])).
% 0.16/0.46 fof(f24,plain,(
% 0.16/0.46 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(resolution,[status(thm)],[f17,f23])).
% 0.16/0.46 fof(f25,plain,(
% 0.16/0.46 c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(resolution,[status(thm)],[f24,f16])).
% 0.16/0.46 fof(f26,plain,(
% 0.16/0.46 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(resolution,[status(thm)],[f25,f16])).
% 0.16/0.46 fof(f27,plain,(
% 0.16/0.46 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(resolution,[status(thm)],[f26,f19])).
% 0.16/0.46 fof(f28,plain,(
% 0.16/0.46 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.16/0.46 inference(resolution,[status(thm)],[f27,f16])).
% 0.16/0.46 fof(f29,plain,(
% 0.16/0.46 $false),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f28,f21])).
% 0.16/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.051068 seconds
% 0.16/0.50 % CPU time: 0.133391 seconds
% 0.16/0.50 % Total memory used: 35.058 MB
% 0.16/0.50 % Net memory used: 34.867 MB
%------------------------------------------------------------------------------