%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV802-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 02:53:11 PM UTC 2026
% Result : Unsatisfiable 0.15s 15.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV802-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/15.39 % Computer : n007.cluster.edu
% 0.11/15.39 % Model : x86_64 x86_64
% 0.11/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.39 % Memory : 8046.5625MB
% 0.11/15.39 % OS : Linux 6.8.0-71-generic
% 0.11/15.39 % CPULimit : 300
% 0.11/15.39 % WCLimit : 300
% 0.11/15.39 % DateTime : Mon Sep 21 09:24:06 UTC 2026
% 0.11/15.39 % CPUTime :
% 0.15/15.43 % Drodi V4.1.1
% 0.15/15.72 % Refutation found
% 0.15/15.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/15.72 % SZS output start CNFRefutation for theBenchmark
% 0.15/15.72 fof(f503,axiom,(
% 0.15/15.72 (![V_X,V_H]: (( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)| ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.15/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.72 fof(f504,axiom,(
% 0.15/15.72 (![V_X,V_evs,V_S,V_A,V_KA,V_N,V_B,V_K]: (( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.15/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.72 fof(f592,negated_conjecture,(
% 0.15/15.72 c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.15/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.72 fof(f595,negated_conjecture,(
% 0.15/15.72 c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.15/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.72 fof(f596,negated_conjecture,(
% 0.15/15.72 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.15/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.72 fof(f597,negated_conjecture,(
% 0.15/15.72 ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.15/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.72 fof(f598,negated_conjecture,(
% 0.15/15.72 ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ) ),
% 0.15/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/15.72 fof(f1325,plain,(
% 0.15/15.72 ![X0,X1]: (c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg))=c_Message_Oparts(X1)|~c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.15/15.73 inference(cnf_transformation,[status(thm)],[f503])).
% 0.15/15.73 fof(f1326,plain,(
% 0.15/15.73 ![V_X,V_evs]: (c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|(![V_S,V_A,V_KA,V_N,V_B,V_K]: ~c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))),
% 0.15/15.73 inference(miniscoping,[status(thm)],[f504])).
% 0.15/15.73 fof(f1327,plain,(
% 0.15/15.73 ![X0,X1,X2,X3,X4,X5,X6,X7]: (c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)|~c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,X0))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))),
% 0.15/15.73 inference(cnf_transformation,[status(thm)],[f1326])).
% 0.15/15.73 fof(f1443,plain,(
% 0.15/15.73 c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.15/15.73 inference(cnf_transformation,[status(thm)],[f592])).
% 0.15/15.73 fof(f1446,plain,(
% 0.15/15.73 c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.15/15.73 inference(cnf_transformation,[status(thm)],[f595])).
% 0.15/15.73 fof(f1447,plain,(
% 0.15/15.73 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.15/15.73 inference(cnf_transformation,[status(thm)],[f596])).
% 0.15/15.73 fof(f1448,plain,(
% 0.15/15.73 ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 0.15/15.73 inference(cnf_transformation,[status(thm)],[f597])).
% 0.15/15.73 fof(f1449,plain,(
% 0.15/15.73 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.15/15.73 inference(cnf_transformation,[status(thm)],[f598])).
% 0.15/15.73 fof(f1537,plain,(
% 0.15/15.73 ~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.15/15.73 inference(forward_subsumption_resolution,[status(thm)],[f1449,f1448])).
% 0.15/15.73 fof(f2009,plain,(
% 0.15/15.73 c_in(v_Xa,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.15/15.73 inference(resolution,[status(thm)],[f1327,f1443])).
% 0.15/15.73 fof(f2015,plain,(
% 0.15/15.73 c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))=c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),
% 0.15/15.73 inference(resolution,[status(thm)],[f2009,f1325])).
% 0.15/15.73 fof(f4454,plain,(
% 0.15/15.73 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.15/15.73 inference(backward_demodulation,[status(thm)],[f2015,f1447])).
% 0.15/15.73 fof(f4455,plain,(
% 0.15/15.73 c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.15/15.73 inference(backward_demodulation,[status(thm)],[f2015,f1446])).
% 0.15/15.73 fof(f4518,plain,(
% 0.15/15.73 ~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
% 0.15/15.73 inference(backward_subsumption_resolution,[status(thm)],[f1537,f4454])).
% 0.15/15.73 fof(f4593,plain,(
% 0.15/15.73 $false),
% 0.15/15.73 inference(forward_subsumption_resolution,[status(thm)],[f4518,f4455])).
% 0.15/15.74 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/15.78 % Elapsed time: 0.369793 seconds
% 0.15/15.78 % CPU time: 2.354075 seconds
% 0.15/15.78 % Total memory used: 165.298 MB
% 0.15/15.78 % Net memory used: 163.753 MB
%------------------------------------------------------------------------------