%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV340-2 : 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 : n018.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 02:50:35 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV340-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n018.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 08:44:30 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.42 % Drodi V4.1.1
% 0.16/0.43 % Refutation found
% 0.16/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.43 fof(f1,negated_conjecture,(
% 0.16/0.43 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f2,negated_conjecture,(
% 0.16/0.43 c_in(c_Event_Oevent_OGets(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f3,negated_conjecture,(
% 0.16/0.43 ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg) ),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f4,negated_conjecture,(
% 0.16/0.43 v_K = v_Ka ),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f5,axiom,(
% 0.16/0.43 (![V_c,V_evs]: (( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ))),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f6,axiom,(
% 0.16/0.43 (![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) ) ))),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f7,axiom,(
% 0.16/0.43 (![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_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f8,axiom,(
% 0.16/0.43 (![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) ) ))),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f9,axiom,(
% 0.16/0.43 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f10,axiom,(
% 0.16/0.43 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f11,axiom,(
% 0.16/0.43 (![V_evs,V_B,V_X]: (( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OGets(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) ) ))),
% 0.16/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f12,plain,(
% 0.16/0.43 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.43 fof(f13,plain,(
% 0.16/0.43 c_in(c_Event_Oevent_OGets(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.43 fof(f14,plain,(
% 0.16/0.43 ~c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg)),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.43 fof(f15,plain,(
% 0.16/0.43 v_K=v_Ka),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.43 fof(f16,plain,(
% 0.16/0.43 ![X0,X1]: (~c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)|c_in(X0,c_Event_Oused(X1),tc_Message_Omsg))),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/0.43 fof(f17,plain,(
% 0.16/0.43 ![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))),
% 0.16/0.43 inference(miniscoping,[status(thm)],[f6])).
% 0.16/0.43 fof(f18,plain,(
% 0.16/0.43 ![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))),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/0.43 fof(f19,plain,(
% 0.16/0.43 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 0.16/0.43 inference(miniscoping,[status(thm)],[f7])).
% 0.16/0.43 fof(f20,plain,(
% 0.16/0.43 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/0.43 fof(f21,plain,(
% 0.16/0.43 ![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))),
% 0.16/0.43 inference(miniscoping,[status(thm)],[f8])).
% 0.16/0.43 fof(f22,plain,(
% 0.16/0.43 ![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))),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.16/0.43 fof(f23,plain,(
% 0.16/0.43 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.43 fof(f24,plain,(
% 0.16/0.43 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.16/0.43 fof(f25,plain,(
% 0.16/0.43 ![V_evs,V_X]: ((~c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|(![V_B]: ~c_in(c_Event_Oevent_OGets(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))),
% 0.16/0.43 inference(miniscoping,[status(thm)],[f11])).
% 0.16/0.43 fof(f26,plain,(
% 0.16/0.43 ![X0,X1,X2]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))),
% 0.16/0.43 inference(cnf_transformation,[status(thm)],[f25])).
% 0.16/0.43 fof(f27,plain,(
% 0.16/0.43 ~c_in(c_Message_Omsg_OKey(v_Ka),c_Event_Oused(v_evs4),tc_Message_Omsg)),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f15,f14])).
% 0.16/0.43 fof(f34,plain,(
% 0.16/0.43 ~c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.16/0.43 inference(resolution,[status(thm)],[f26,f13])).
% 0.16/0.43 fof(f35,definition,(
% 0.16/0.43 sQ0_spl <=> (c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))),
% 0.16/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.43 fof(f37,plain,(
% 0.16/0.43 ~c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|sQ0_spl),
% 0.16/0.43 inference(component_clause,[status(thm)],[f35])).
% 0.16/0.43 fof(f38,definition,(
% 0.16/0.43 sQ1_spl <=> (c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))),
% 0.16/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.43 fof(f39,plain,(
% 0.16/0.43 c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ1_spl),
% 0.16/0.43 inference(component_clause,[status(thm)],[f38])).
% 0.16/0.43 fof(f41,plain,(
% 0.16/0.43 ~sQ0_spl|sQ1_spl),
% 0.16/0.43 inference(split_clause,[status(thm)],[f34,f35,f38])).
% 0.16/0.43 fof(f42,plain,(
% 0.16/0.43 $false|sQ0_spl),
% 0.16/0.43 inference(forward_subsumption_resolution,[status(thm)],[f37,f12])).
% 0.16/0.43 fof(f43,plain,(
% 0.16/0.43 sQ0_spl),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f42])).
% 0.16/0.43 fof(f44,plain,(
% 0.16/0.43 c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~sQ1_spl),
% 0.16/0.43 inference(resolution,[status(thm)],[f39,f23])).
% 0.16/0.43 fof(f45,plain,(
% 0.16/0.43 c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ1_spl),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f24,f44])).
% 0.16/0.43 fof(f46,plain,(
% 0.16/0.43 c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ1_spl),
% 0.16/0.43 inference(resolution,[status(thm)],[f45,f20])).
% 0.16/0.43 fof(f50,plain,(
% 0.16/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ1_spl),
% 0.16/0.43 inference(resolution,[status(thm)],[f46,f22])).
% 0.16/0.43 fof(f62,plain,(
% 0.16/0.43 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ1_spl),
% 0.16/0.43 inference(resolution,[status(thm)],[f50,f18])).
% 0.16/0.43 fof(f80,plain,(
% 0.16/0.43 c_in(c_Message_Omsg_OKey(v_Ka),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~sQ1_spl),
% 0.16/0.43 inference(resolution,[status(thm)],[f62,f20])).
% 0.16/0.43 fof(f90,plain,(
% 0.16/0.43 c_in(c_Message_Omsg_OKey(v_Ka),c_Event_Oused(v_evs4),tc_Message_Omsg)|~sQ1_spl),
% 0.16/0.43 inference(resolution,[status(thm)],[f80,f16])).
% 0.16/0.43 fof(f92,plain,(
% 0.16/0.43 $false|~sQ1_spl),
% 0.16/0.43 inference(forward_subsumption_resolution,[status(thm)],[f90,f27])).
% 0.16/0.43 fof(f93,plain,(
% 0.16/0.43 ~sQ1_spl),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f92])).
% 0.16/0.43 fof(f94,plain,(
% 0.16/0.43 $false),
% 0.16/0.43 inference(sat_refutation,[status(thm)],[f41,f43,f93])).
% 0.16/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.45 % Elapsed time: 0.031017 seconds
% 0.16/0.45 % CPU time: 0.072877 seconds
% 0.16/0.45 % Total memory used: 10.675 MB
% 0.16/0.45 % Net memory used: 10.649 MB
%------------------------------------------------------------------------------