%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV319-2 : 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 : n011.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 02:50:31 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV319-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n011.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 08:40:41 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.59 % Refutation found
% 0.10/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.59 fof(f1,negated_conjecture,(
% 0.10/0.59 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) ),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f2,negated_conjecture,(
% 0.10/0.59 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f3,negated_conjecture,(
% 0.10/0.59 ( 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) ) ),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f4,negated_conjecture,(
% 0.10/0.59 ( c_Public_OshrK(v_A) = v_K| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f5,axiom,(
% 0.10/0.59 (![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) ) ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f6,axiom,(
% 0.10/0.59 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f7,axiom,(
% 0.10/0.59 (![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) ) ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f8,axiom,(
% 0.10/0.59 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f9,axiom,(
% 0.10/0.59 (![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) ) ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f10,plain,(
% 0.10/0.59 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)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.59 fof(f11,plain,(
% 0.10/0.59 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.59 fof(f12,plain,(
% 0.10/0.59 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)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.59 fof(f13,plain,(
% 0.10/0.59 c_Public_OshrK(v_A)=v_K|c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.59 fof(f14,plain,(
% 0.10/0.59 ![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))),
% 0.10/0.59 inference(miniscoping,[status(thm)],[f5])).
% 0.10/0.59 fof(f15,plain,(
% 0.10/0.59 ![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))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.59 fof(f16,plain,(
% 0.10/0.59 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.10/0.59 inference(miniscoping,[status(thm)],[f6])).
% 0.10/0.59 fof(f17,plain,(
% 0.10/0.59 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.59 fof(f18,plain,(
% 0.10/0.59 ![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))),
% 0.10/0.59 inference(miniscoping,[status(thm)],[f7])).
% 0.10/0.59 fof(f19,plain,(
% 0.10/0.59 ![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))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.59 fof(f20,plain,(
% 0.10/0.59 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.59 fof(f21,plain,(
% 0.10/0.59 ![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))),
% 0.10/0.59 inference(miniscoping,[status(thm)],[f9])).
% 0.10/0.59 fof(f22,plain,(
% 0.10/0.59 ![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))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.59 fof(f23,definition,(
% 0.10/0.59 sQ0_spl <=> (c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.10/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.59 fof(f24,plain,(
% 0.10/0.59 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~sQ0_spl),
% 0.10/0.59 inference(component_clause,[status(thm)],[f23])).
% 0.10/0.59 fof(f26,definition,(
% 0.10/0.59 sQ1_spl <=> (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))),
% 0.10/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.59 fof(f28,plain,(
% 0.10/0.59 ~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)|sQ1_spl),
% 0.10/0.59 inference(component_clause,[status(thm)],[f26])).
% 0.10/0.59 fof(f29,plain,(
% 0.10/0.59 sQ0_spl|~sQ1_spl),
% 0.10/0.59 inference(split_clause,[status(thm)],[f12,f23,f26])).
% 0.10/0.59 fof(f30,definition,(
% 0.10/0.59 sQ2_spl <=> (c_Public_OshrK(v_A)=v_K)),
% 0.10/0.59 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.59 fof(f31,plain,(
% 0.10/0.59 c_Public_OshrK(v_A)=v_K|~sQ2_spl),
% 0.10/0.59 inference(component_clause,[status(thm)],[f30])).
% 0.10/0.59 fof(f33,plain,(
% 0.10/0.59 sQ2_spl|sQ0_spl),
% 0.10/0.59 inference(split_clause,[status(thm)],[f13,f30,f23])).
% 0.10/0.59 fof(f34,plain,(
% 0.10/0.59 $false|~sQ0_spl),
% 0.10/0.59 inference(forward_subsumption_resolution,[status(thm)],[f24,f11])).
% 0.10/0.59 fof(f35,plain,(
% 0.10/0.59 ~sQ0_spl),
% 0.10/0.59 inference(contradiction_clause,[status(thm)],[f34])).
% 0.10/0.59 fof(f36,plain,(
% 0.10/0.59 ~c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)|~sQ2_spl|sQ1_spl),
% 0.10/0.59 inference(backward_demodulation,[status(thm)],[f31,f28])).
% 0.10/0.59 fof(f37,plain,(
% 0.10/0.59 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)),
% 0.10/0.59 inference(resolution,[status(thm)],[f15,f10])).
% 0.10/0.59 fof(f38,plain,(
% 0.10/0.59 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.10/0.59 inference(resolution,[status(thm)],[f37,f17])).
% 0.10/0.59 fof(f40,plain,(
% 0.10/0.59 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.10/0.59 inference(resolution,[status(thm)],[f38,f17])).
% 0.10/0.59 fof(f43,plain,(
% 0.10/0.59 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)),
% 0.10/0.59 inference(resolution,[status(thm)],[f40,f20])).
% 0.10/0.59 fof(f44,plain,(
% 0.10/0.59 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)),
% 0.10/0.59 inference(resolution,[status(thm)],[f43,f22])).
% 0.10/0.59 fof(f45,plain,(
% 0.10/0.59 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)),
% 0.10/0.59 inference(resolution,[status(thm)],[f44,f19])).
% 0.10/0.59 fof(f46,plain,(
% 0.10/0.59 $false|~sQ2_spl|sQ1_spl),
% 0.10/0.59 inference(forward_subsumption_resolution,[status(thm)],[f45,f36])).
% 0.10/0.59 fof(f47,plain,(
% 0.10/0.59 ~sQ2_spl|sQ1_spl),
% 0.10/0.59 inference(contradiction_clause,[status(thm)],[f46])).
% 0.10/0.59 fof(f48,plain,(
% 0.10/0.59 $false),
% 0.10/0.59 inference(sat_refutation,[status(thm)],[f29,f33,f35,f47])).
% 0.10/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.61 % Elapsed time: 0.037801 seconds
% 0.10/0.61 % CPU time: 0.099249 seconds
% 0.10/0.61 % Total memory used: 37.629 MB
% 0.10/0.61 % Net memory used: 37.430 MB
%------------------------------------------------------------------------------