%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV791-1 : TPTP v9.3.1. Released v4.1.0.
% 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 02:53:10 PM UTC 2026
% Result : Unsatisfiable 63.34s 8.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV791-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n018.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 09:27:13 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.25/0.50 % Drodi V4.1.1
% 63.34/8.62 % Refutation found
% 63.34/8.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 63.34/8.62 % SZS output start CNFRefutation for theBenchmark
% 63.34/8.62 fof(f112,axiom,(
% 63.34/8.62 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f317,axiom,(
% 63.34/8.62 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ c_in(V_a,V_A,T_a) ) ))),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f429,axiom,(
% 63.34/8.62 (![V_X,V_evs,V_A,V_B]: (( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f434,axiom,(
% 63.34/8.62 (![V_X,V_H]: (( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)| ~ c_in(V_X,V_H,tc_Message_Omsg) ) ))),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f491,axiom,(
% 63.34/8.62 (![V_X,V_B,V_K,V_A,V_evs,V_NA]: (( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))| c_in(V_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f507,axiom,(
% 63.34/8.62 (![V_nat,V_msg1_H,V_msg2_H]: (c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ))),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f518,axiom,(
% 63.34/8.62 (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f524,axiom,(
% 63.34/8.62 (![V_nat,V_msg,V_nat_H,V_msg_H]: (( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)| V_msg = V_msg_H ) ))),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f569,negated_conjecture,(
% 63.34/8.62 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f570,negated_conjecture,(
% 63.34/8.62 c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f572,negated_conjecture,(
% 63.34/8.62 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_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f575,negated_conjecture,(
% 63.34/8.62 v_B = v_Aa ),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f576,negated_conjecture,(
% 63.34/8.62 v_A = v_Ba ),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f577,negated_conjecture,(
% 63.34/8.62 c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X ),
% 63.34/8.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.34/8.62 fof(f774,plain,(
% 63.34/8.62 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 63.34/8.62 inference(cnf_transformation,[status(thm)],[f112])).
% 63.34/8.62 fof(f1059,plain,(
% 63.34/8.62 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~c_in(X0,X1,X2))),
% 63.34/8.62 inference(cnf_transformation,[status(thm)],[f317])).
% 63.34/8.62 fof(f1223,plain,(
% 63.34/8.62 ![V_X,V_evs]: (c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)|(![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)))),
% 63.34/8.62 inference(miniscoping,[status(thm)],[f429])).
% 63.34/8.62 fof(f1224,plain,(
% 63.34/8.62 ![X0,X1,X2,X3]: (c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)|~c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))),
% 63.34/8.62 inference(cnf_transformation,[status(thm)],[f1223])).
% 63.34/8.62 fof(f1231,plain,(
% 63.34/8.62 ![X0,X1]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|~c_in(X0,X1,tc_Message_Omsg))),
% 63.34/8.62 inference(cnf_transformation,[status(thm)],[f434])).
% 63.34/8.63 fof(f1322,plain,(
% 63.34/8.63 ![V_X,V_B,V_K,V_A,V_evs]: (((V_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OAgent(V_A)))|~c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|c_in(V_A,c_Event_Obad,tc_Message_Oagent))|(![V_NA]: ~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))),
% 63.34/8.63 inference(miniscoping,[status(thm)],[f491])).
% 63.34/8.63 fof(f1323,plain,(
% 63.34/8.63 ![X0,X1,X2,X3,X4,X5]: (X0=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OAgent(X3)))|~c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))|c_in(X3,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f1322])).
% 63.34/8.63 fof(f1343,plain,(
% 63.34/8.63 ![X0,X1,X2]: (~c_Message_Omsg_ONonce(X0)=c_Message_Omsg_OMPair(X1,X2))),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f507])).
% 63.34/8.63 fof(f1357,plain,(
% 63.34/8.63 ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 63.34/8.63 inference(miniscoping,[status(thm)],[f518])).
% 63.34/8.63 fof(f1358,plain,(
% 63.34/8.63 ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f1357])).
% 63.34/8.63 fof(f1366,plain,(
% 63.34/8.63 ![V_msg,V_msg_H]: ((![V_nat,V_nat_H]: ~c_Message_Omsg_OCrypt(V_nat,V_msg)=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H))|V_msg=V_msg_H)),
% 63.34/8.63 inference(miniscoping,[status(thm)],[f524])).
% 63.34/8.63 fof(f1367,plain,(
% 63.34/8.63 ![X0,X1,X2,X3]: (~c_Message_Omsg_OCrypt(X0,X1)=c_Message_Omsg_OCrypt(X2,X3)|X1=X3)),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f1366])).
% 63.34/8.63 fof(f1422,plain,(
% 63.34/8.63 ~c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f569])).
% 63.34/8.63 fof(f1423,plain,(
% 63.34/8.63 c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f570])).
% 63.34/8.63 fof(f1425,plain,(
% 63.34/8.63 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_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f572])).
% 63.34/8.63 fof(f1428,plain,(
% 63.34/8.63 v_B=v_Aa),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f575])).
% 63.34/8.63 fof(f1429,plain,(
% 63.34/8.63 v_A=v_Ba),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f576])).
% 63.34/8.63 fof(f1430,plain,(
% 63.34/8.63 c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))=v_X),
% 63.34/8.63 inference(cnf_transformation,[status(thm)],[f577])).
% 63.34/8.63 fof(f1514,plain,(
% 63.34/8.63 c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 63.34/8.63 inference(backward_demodulation,[status(thm)],[f1428,f1425])).
% 63.34/8.63 fof(f1516,plain,(
% 63.34/8.63 c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 63.34/8.63 inference(forward_demodulation,[status(thm)],[f1428,f1514])).
% 63.34/8.63 fof(f1586,plain,(
% 63.34/8.63 c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
% 63.34/8.63 inference(backward_demodulation,[status(thm)],[f1429,f1516])).
% 63.34/8.63 fof(f1648,plain,(
% 63.34/8.63 c_Set_Oinsert(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))=c_NS__Shared__Mirabelle_Ons__shared),
% 63.34/8.63 inference(resolution,[status(thm)],[f1059,f1423])).
% 63.34/8.63 fof(f1963,definition,(
% 63.34/8.63 sQ8_spl <=> (c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))),
% 63.34/8.63 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 63.34/8.63 fof(f1964,plain,(
% 63.34/8.63 c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|~sQ8_spl),
% 63.34/8.63 inference(component_clause,[status(thm)],[f1963])).
% 63.34/8.63 fof(f1965,plain,(
% 63.34/8.63 ~c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)|sQ8_spl),
% 63.34/8.63 inference(component_clause,[status(thm)],[f1963])).
% 63.34/8.63 fof(f9105,plain,(
% 63.34/8.63 c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)|~sQ8_spl),
% 63.34/8.63 inference(resolution,[status(thm)],[f1224,f1964])).
% 63.34/8.63 fof(f9117,plain,(
% 63.34/8.63 c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)=c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)|~sQ8_spl),
% 63.34/8.63 inference(resolution,[status(thm)],[f9105,f1059])).
% 63.34/8.63 fof(f9522,plain,(
% 63.34/8.63 hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))))|~sQ8_spl),
% 63.34/8.63 inference(paramodulation,[status(thm)],[f9117,f774])).
% 63.34/8.63 fof(f9543,plain,(
% 63.34/8.63 ![X0]: (c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),X0)|~sQ8_spl)),
% 63.34/8.63 inference(resolution,[status(thm)],[f9522,f1358])).
% 63.34/8.63 fof(f11487,plain,(
% 63.34/8.63 $false|sQ8_spl),
% 63.34/8.63 inference(forward_subsumption_resolution,[status(thm)],[f1965,f1586])).
% 63.34/8.63 fof(f11488,plain,(
% 63.34/8.63 sQ8_spl),
% 63.34/8.63 inference(contradiction_clause,[status(thm)],[f11487])).
% 63.34/8.63 fof(f11779,plain,(
% 63.34/8.63 hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs3))),
% 63.34/8.63 inference(paramodulation,[status(thm)],[f1648,f774])).
% 63.34/8.63 fof(f11793,plain,(
% 63.34/8.63 ![X0]: (c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,X0))),
% 63.34/8.63 inference(resolution,[status(thm)],[f11779,f1358])).
% 63.34/8.63 fof(f15930,plain,(
% 63.34/8.63 ![X0,X1,X2,X3,X4]: (X0=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OAgent(X3)))|c_in(X3,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))),
% 63.34/8.63 inference(resolution,[status(thm)],[f1323,f11793])).
% 63.34/8.63 fof(f20313,plain,(
% 63.34/8.63 ![X0,X1,X2,X3,X4]: (X0=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OAgent(X3)))|c_in(X3,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),X0)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))),
% 64.15/8.70 inference(resolution,[status(thm)],[f15930,f1231])).
% 64.15/8.70 fof(f20319,plain,(
% 64.15/8.70 v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B)))|c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~sQ8_spl),
% 64.15/8.70 inference(resolution,[status(thm)],[f20313,f9543])).
% 64.15/8.70 fof(f20322,definition,(
% 64.15/8.70 sQ303_spl <=> (v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B))))),
% 64.15/8.70 introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition])).
% 64.15/8.70 fof(f20323,plain,(
% 64.15/8.70 v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B)))|~sQ303_spl),
% 64.15/8.70 inference(component_clause,[status(thm)],[f20322])).
% 64.15/8.70 fof(f20325,definition,(
% 64.15/8.70 sQ304_spl <=> (c_in(v_B,c_Event_Obad,tc_Message_Oagent))),
% 64.15/8.70 introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition])).
% 64.15/8.70 fof(f20326,plain,(
% 64.15/8.70 c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~sQ304_spl),
% 64.15/8.70 inference(component_clause,[status(thm)],[f20325])).
% 64.15/8.70 fof(f20328,plain,(
% 64.15/8.70 sQ303_spl|sQ304_spl|~sQ8_spl),
% 64.15/8.70 inference(split_clause,[status(thm)],[f20319,f20322,f20325,f1963])).
% 64.15/8.70 fof(f20329,plain,(
% 64.15/8.70 $false|~sQ304_spl),
% 64.15/8.70 inference(forward_subsumption_resolution,[status(thm)],[f20326,f1422])).
% 64.15/8.70 fof(f20330,plain,(
% 64.15/8.70 ~sQ304_spl),
% 64.15/8.70 inference(contradiction_clause,[status(thm)],[f20329])).
% 64.15/8.70 fof(f20398,plain,(
% 64.15/8.70 ![X0,X1]: (~c_Message_Omsg_OCrypt(X0,X1)=v_X|X1=c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B))|~sQ303_spl)),
% 64.15/8.70 inference(paramodulation,[status(thm)],[f20323,f1367])).
% 64.15/8.70 fof(f20862,plain,(
% 64.15/8.70 c_Message_Omsg_ONonce(v_Nb)=c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B))|~sQ303_spl),
% 64.15/8.70 inference(resolution,[status(thm)],[f20398,f1430])).
% 64.15/8.70 fof(f20866,plain,(
% 64.15/8.70 $false|~sQ303_spl),
% 64.15/8.70 inference(forward_subsumption_resolution,[status(thm)],[f20862,f1343])).
% 64.15/8.70 fof(f20867,plain,(
% 64.15/8.70 ~sQ303_spl),
% 64.15/8.70 inference(contradiction_clause,[status(thm)],[f20866])).
% 64.15/8.70 fof(f20868,plain,(
% 64.15/8.70 $false),
% 64.15/8.70 inference(sat_refutation,[status(thm)],[f11488,f20328,f20330,f20867])).
% 64.15/8.70 % SZS output end CNFRefutation for theBenchmark.p
% 38.48/8.79 % Elapsed time: 8.336818 seconds
% 38.48/8.79 % CPU time: 65.119040 seconds
% 38.48/8.79 % Total memory used: 715.884 MB
% 38.48/8.79 % Net memory used: 678.242 MB
%------------------------------------------------------------------------------