TSTP Solution File: SWV750-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV750-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:43:56 EDT 2023
% Result : Unsatisfiable 20.19s 3.05s
% Output : CNFRefutation 20.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV750-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:56:04 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.35 % Drodi V3.5.1
% 20.19/3.05 % Refutation found
% 20.19/3.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.19/3.05 % SZS output start CNFRefutation for theBenchmark
% 20.19/3.05 fof(f184,axiom,(
% 20.19/3.05 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f255,axiom,(
% 20.19/3.05 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ))),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f612,axiom,(
% 20.19/3.05 (![V_A,V_A_H,V_evs,V_NA_H,V_B_H,V_K,V_X_H,V_NA,V_B,V_X]: (( V_A = V_A_H| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,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(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ))),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f613,axiom,(
% 20.19/3.05 (![V_NA,V_NA_H,V_evs,V_A_H,V_B_H,V_K,V_X_H,V_A,V_B,V_X]: (( V_NA = V_NA_H| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,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(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ))),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f630,axiom,(
% 20.19/3.05 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f653,negated_conjecture,(
% 20.19/3.05 hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f655,negated_conjecture,(
% 20.19/3.05 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)) ),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f657,negated_conjecture,(
% 20.19/3.05 v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) ),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f658,negated_conjecture,(
% 20.19/3.05 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,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(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)) ),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f660,negated_conjecture,(
% 20.19/3.05 v_K = v_Ka ),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f661,negated_conjecture,(
% 20.19/3.05 ( v_K != v_Ka| v_NA != c_Message_Omsg_ONonce(v_NAa) ) ),
% 20.19/3.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.19/3.05 fof(f942,plain,(
% 20.58/3.07 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f184])).
% 20.58/3.07 fof(f1047,plain,(
% 20.58/3.07 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X2)))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f255])).
% 20.58/3.07 fof(f1556,plain,(
% 20.58/3.07 ![V_A,V_evs,V_K]: ((![V_A_H]: ((V_A=V_A_H|~hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))|(![V_NA_H,V_B_H,V_X_H]: ~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))))|(![V_NA,V_B,V_X]: ~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,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(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))))),
% 20.58/3.07 inference(miniscoping,[status(esa)],[f612])).
% 20.58/3.07 fof(f1557,plain,(
% 20.58/3.07 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (X0=X1|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f1556])).
% 20.58/3.07 fof(f1558,plain,(
% 20.58/3.07 ![V_NA,V_evs,V_K]: ((![V_NA_H]: ((V_NA=V_NA_H|~hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))|(![V_A_H,V_B_H,V_X_H]: ~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)))))|(![V_A,V_B,V_X]: ~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,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(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))))),
% 20.58/3.07 inference(miniscoping,[status(esa)],[f613])).
% 20.58/3.07 fof(f1559,plain,(
% 20.58/3.07 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (X0=X1|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f1558])).
% 20.58/3.07 fof(f1581,plain,(
% 20.58/3.07 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 20.58/3.07 inference(miniscoping,[status(esa)],[f630])).
% 20.58/3.07 fof(f1582,plain,(
% 20.58/3.07 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f1581])).
% 20.58/3.07 fof(f1612,plain,(
% 20.58/3.07 hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f653])).
% 20.58/3.07 fof(f1614,plain,(
% 20.58/3.07 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f655])).
% 20.58/3.07 fof(f1616,plain,(
% 20.58/3.07 v_X=c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f657])).
% 20.58/3.07 fof(f1617,plain,(
% 20.58/3.07 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,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(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f658])).
% 20.58/3.07 fof(f1619,plain,(
% 20.58/3.07 v_K=v_Ka),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f660])).
% 20.58/3.07 fof(f1620,plain,(
% 20.58/3.07 ~v_K=v_Ka|~v_NA=c_Message_Omsg_ONonce(v_NAa)),
% 20.58/3.07 inference(cnf_transformation,[status(esa)],[f661])).
% 20.58/3.07 fof(f1669,plain,(
% 20.58/3.07 spl0_2 <=> v_K=v_Ka),
% 20.58/3.07 introduced(split_symbol_definition)).
% 20.58/3.07 fof(f1671,plain,(
% 20.58/3.07 ~v_K=v_Ka|spl0_2),
% 20.58/3.07 inference(component_clause,[status(thm)],[f1669])).
% 20.58/3.07 fof(f1672,plain,(
% 20.58/3.07 spl0_3 <=> v_NA=c_Message_Omsg_ONonce(v_NAa)),
% 20.58/3.07 introduced(split_symbol_definition)).
% 20.58/3.07 fof(f1674,plain,(
% 20.58/3.07 ~v_NA=c_Message_Omsg_ONonce(v_NAa)|spl0_3),
% 20.58/3.07 inference(component_clause,[status(thm)],[f1672])).
% 20.58/3.07 fof(f1675,plain,(
% 20.58/3.07 ~spl0_2|~spl0_3),
% 20.58/3.07 inference(split_clause,[status(thm)],[f1620,f1669,f1672])).
% 20.58/3.07 fof(f1690,plain,(
% 20.58/3.07 ~v_Ka=v_Ka|spl0_2),
% 20.58/3.07 inference(forward_demodulation,[status(thm)],[f1619,f1671])).
% 20.58/3.07 fof(f1691,plain,(
% 20.58/3.07 $false|spl0_2),
% 20.58/3.07 inference(trivial_equality_resolution,[status(esa)],[f1690])).
% 20.58/3.07 fof(f1692,plain,(
% 20.58/3.07 spl0_2),
% 20.58/3.07 inference(contradiction_clause,[status(thm)],[f1691])).
% 20.58/3.07 fof(f1694,plain,(
% 20.58/3.07 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,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(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))),
% 20.58/3.07 inference(forward_demodulation,[status(thm)],[f1619,f1617])).
% 20.58/3.07 fof(f1695,plain,(
% 20.58/3.07 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,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(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))),
% 20.58/3.07 inference(forward_demodulation,[status(thm)],[f1619,f1694])).
% 20.58/3.07 fof(f1703,plain,(
% 20.58/3.07 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))),
% 20.58/3.07 inference(forward_demodulation,[status(thm)],[f1616,f1614])).
% 20.58/3.07 fof(f3205,plain,(
% 20.58/3.07 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X3)))),
% 20.58/3.07 inference(resolution,[status(thm)],[f942,f1582])).
% 20.58/3.07 fof(f7220,plain,(
% 20.58/3.07 c_Set_Oinsert(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))=c_NS__Shared__Mirabelle_Ons__shared),
% 20.58/3.07 inference(resolution,[status(thm)],[f1047,f1612])).
% 20.58/3.07 fof(f7287,plain,(
% 20.58/3.07 ![X0]: (hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,X0)))),
% 20.58/3.07 inference(paramodulation,[status(thm)],[f7220,f3205])).
% 20.58/3.07 fof(f11191,plain,(
% 20.58/3.07 spl0_84 <=> hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 20.58/3.07 introduced(split_symbol_definition)).
% 20.58/3.07 fof(f11193,plain,(
% 20.58/3.07 ~hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|spl0_84),
% 20.58/3.07 inference(component_clause,[status(thm)],[f11191])).
% 20.58/3.07 fof(f11204,plain,(
% 20.58/3.07 $false|spl0_84),
% 20.58/3.07 inference(forward_subsumption_resolution,[status(thm)],[f11193,f7287])).
% 20.58/3.07 fof(f11205,plain,(
% 20.58/3.07 spl0_84),
% 20.58/3.07 inference(contradiction_clause,[status(thm)],[f11204])).
% 20.58/3.07 fof(f15412,plain,(
% 20.58/3.07 spl0_104 <=> X0=v_Aa|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),X3))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))),
% 20.58/3.07 introduced(split_symbol_definition)).
% 20.58/3.07 fof(f15413,plain,(
% 20.58/3.07 ![X0,X1,X2,X3]: (X0=v_Aa|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),X3))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))|~spl0_104)),
% 20.58/3.07 inference(component_clause,[status(thm)],[f15412])).
% 20.58/3.07 fof(f15415,plain,(
% 20.58/3.07 ![X0,X1,X2,X3]: (X0=v_Aa|~hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),X3))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)))),
% 20.58/3.07 inference(resolution,[status(thm)],[f1557,f1703])).
% 20.58/3.07 fof(f15416,plain,(
% 20.58/3.07 spl0_104|~spl0_84),
% 20.58/3.07 inference(split_clause,[status(thm)],[f15415,f15412,f11191])).
% 20.58/3.07 fof(f15437,plain,(
% 20.58/3.07 spl0_108 <=> v_NA=X0|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),X3))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))),
% 20.58/3.07 introduced(split_symbol_definition)).
% 20.58/3.07 fof(f15438,plain,(
% 20.58/3.07 ![X0,X1,X2,X3]: (v_NA=X0|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),X3))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))|~spl0_108)),
% 20.58/3.07 inference(component_clause,[status(thm)],[f15437])).
% 20.58/3.07 fof(f15440,plain,(
% 20.58/3.07 ![X0,X1,X2,X3]: (v_NA=X0|~hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),X3))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)))),
% 20.58/3.07 inference(resolution,[status(thm)],[f1559,f1695])).
% 20.58/3.07 fof(f15441,plain,(
% 20.58/3.07 spl0_108|~spl0_84),
% 20.58/3.07 inference(split_clause,[status(thm)],[f15440,f15437,f11191])).
% 20.58/3.07 fof(f15904,plain,(
% 20.58/3.07 v_A=v_Aa|~spl0_104),
% 20.58/3.07 inference(resolution,[status(thm)],[f15413,f1695])).
% 20.58/3.07 fof(f15945,plain,(
% 20.58/3.07 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),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_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))|~spl0_104),
% 20.58/3.07 inference(backward_demodulation,[status(thm)],[f15904,f1703])).
% 20.58/3.07 fof(f15946,plain,(
% 20.58/3.07 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),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_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))|~spl0_104),
% 20.58/3.11 inference(forward_demodulation,[status(thm)],[f15904,f15945])).
% 20.58/3.11 fof(f16007,plain,(
% 20.58/3.11 v_NA=c_Message_Omsg_ONonce(v_NAa)|~spl0_108|~spl0_104),
% 20.58/3.11 inference(resolution,[status(thm)],[f15438,f15946])).
% 20.58/3.11 fof(f16008,plain,(
% 20.58/3.11 $false|spl0_3|~spl0_108|~spl0_104),
% 20.58/3.11 inference(forward_subsumption_resolution,[status(thm)],[f16007,f1674])).
% 20.58/3.11 fof(f16009,plain,(
% 20.58/3.11 spl0_3|~spl0_108|~spl0_104),
% 20.58/3.11 inference(contradiction_clause,[status(thm)],[f16008])).
% 20.58/3.11 fof(f16010,plain,(
% 20.58/3.11 $false),
% 20.58/3.11 inference(sat_refutation,[status(thm)],[f1675,f1692,f11205,f15416,f15441,f16009])).
% 20.58/3.11 % SZS output end CNFRefutation for theBenchmark.p
% 21.54/3.19 % Elapsed time: 2.865373 seconds
% 21.54/3.19 % CPU time: 21.126764 seconds
% 21.54/3.19 % Memory used: 475.026 MB
%------------------------------------------------------------------------------