TSTP Solution File: SWV746-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV746-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:43:55 EDT 2023
% Result : Unsatisfiable 33.83s 4.73s
% Output : CNFRefutation 34.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV746-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:56:38 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.35 % Drodi V3.5.1
% 33.83/4.73 % Refutation found
% 33.83/4.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 33.83/4.73 % SZS output start CNFRefutation for theBenchmark
% 33.83/4.73 fof(f153,axiom,(
% 33.83/4.73 (![V_x,T_a]: (c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f324,axiom,(
% 33.83/4.73 (![V_K,V_G,V_X,V_H]: (( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))| ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))| ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f338,axiom,(
% 33.83/4.73 (![V_A,V_B,V_X,V_evs]: (c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f364,axiom,(
% 33.83/4.73 (![V_x,V_xs,T_a]: (c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f394,axiom,(
% 33.83/4.73 (![V_y,V_A,T_a,V_x]: (( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| ~ hBOOL(hAPP(V_A,V_x)) ) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f450,axiom,(
% 33.83/4.73 (![V_agent1,V_agent2,V_msg,V_agent1_H,V_agent2_H,V_msg_H]: (( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)| V_agent1 = V_agent1_H ) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f468,axiom,(
% 33.83/4.73 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f489,axiom,(
% 33.83/4.73 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f490,axiom,(
% 33.83/4.73 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f493,axiom,(
% 33.83/4.73 (![V_y,V_xs,T_a,V_x]: (( hBOOL(c_in(V_y,c_List_Oset(V_xs,T_a),T_a))| V_y = V_x| ~ hBOOL(c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a)) ) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f521,negated_conjecture,(
% 33.83/4.73 ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f524,negated_conjecture,(
% 33.83/4.73 hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f525,negated_conjecture,(
% 33.83/4.73 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(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) ),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f526,negated_conjecture,(
% 33.83/4.73 (![V_NB]: (~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_NB,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) ))),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f527,negated_conjecture,(
% 33.83/4.73 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)) ),
% 33.83/4.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.73 fof(f528,negated_conjecture,(
% 33.83/4.73 ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,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),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_evsf,tc_Event_Oevent),tc_Event_Oevent)) ) ),
% 33.83/4.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 33.83/4.74 fof(f766,plain,(
% 33.83/4.74 ![X0,X1]: (c_lessequals(X0,X0,tc_fun(X1,tc_bool)))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f153])).
% 33.83/4.74 fof(f1014,plain,(
% 33.83/4.74 ![V_X,V_H]: ((![V_G]: ((![V_K]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))))|~c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))))|~hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))),
% 33.83/4.74 inference(miniscoping,[status(esa)],[f324])).
% 33.83/4.74 fof(f1015,plain,(
% 33.83/4.74 ![X0,X1,X2,X3]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg))|~c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f1014])).
% 33.83/4.74 fof(f1037,plain,(
% 33.83/4.74 ![X0,X1,X2,X3]: (c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent))=c_Set_Oinsert(X2,c_Event_Oknows(X0,X3),tc_Message_Omsg))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f338])).
% 33.83/4.74 fof(f1070,plain,(
% 33.83/4.74 ![X0,X1,X2]: (c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2)=c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f364])).
% 33.83/4.74 fof(f1105,plain,(
% 33.83/4.74 ![V_A,V_x]: ((![V_y,T_a]: hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)))|~hBOOL(hAPP(V_A,V_x)))),
% 33.83/4.74 inference(miniscoping,[status(esa)],[f394])).
% 33.83/4.74 fof(f1106,plain,(
% 33.83/4.74 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))|~hBOOL(hAPP(X1,X3)))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f1105])).
% 33.83/4.74 fof(f1192,plain,(
% 33.83/4.74 ![V_agent1,V_agent1_H]: ((![V_agent2,V_msg,V_agent2_H,V_msg_H]: ~c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg)=c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H))|V_agent1=V_agent1_H)),
% 33.83/4.74 inference(miniscoping,[status(esa)],[f450])).
% 33.83/4.74 fof(f1193,plain,(
% 33.83/4.74 ![X0,X1,X2,X3,X4,X5]: (~c_Event_Oevent_OSays(X0,X1,X2)=c_Event_Oevent_OSays(X3,X4,X5)|X0=X3)),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f1192])).
% 33.83/4.74 fof(f1220,plain,(
% 33.83/4.74 ~c_Message_Oagent_OServer=c_Message_Oagent_OSpy),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f468])).
% 33.83/4.74 fof(f1250,plain,(
% 33.83/4.74 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 33.83/4.74 inference(miniscoping,[status(esa)],[f489])).
% 33.83/4.74 fof(f1251,plain,(
% 33.83/4.74 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f1250])).
% 33.83/4.74 fof(f1252,plain,(
% 33.83/4.74 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 33.83/4.74 inference(miniscoping,[status(esa)],[f490])).
% 33.83/4.74 fof(f1253,plain,(
% 33.83/4.74 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f1252])).
% 33.83/4.74 fof(f1258,plain,(
% 33.83/4.74 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_List_Oset(X1,X2),X2))|X0=X3|~hBOOL(c_in(X0,c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),X2)))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f493])).
% 33.83/4.74 fof(f1294,plain,(
% 33.83/4.74 ~hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f521])).
% 33.83/4.74 fof(f1297,plain,(
% 33.83/4.74 hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 33.83/4.74 inference(cnf_transformation,[status(esa)],[f524])).
% 33.83/4.75 fof(f1298,plain,(
% 33.83/4.75 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(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),
% 33.83/4.75 inference(cnf_transformation,[status(esa)],[f525])).
% 33.83/4.75 fof(f1299,plain,(
% 33.83/4.75 ![X0]: (~hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)))),
% 33.83/4.75 inference(cnf_transformation,[status(esa)],[f526])).
% 33.83/4.75 fof(f1300,plain,(
% 33.83/4.75 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg))),
% 33.83/4.75 inference(cnf_transformation,[status(esa)],[f527])).
% 33.83/4.75 fof(f1301,plain,(
% 33.83/4.75 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,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),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_evsf,tc_Event_Oevent),tc_Event_Oevent))),
% 33.83/4.75 inference(cnf_transformation,[status(esa)],[f528])).
% 33.83/4.75 fof(f1349,plain,(
% 33.83/4.75 spl0_2 <=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))),
% 33.83/4.75 introduced(split_symbol_definition)).
% 33.83/4.75 fof(f1352,plain,(
% 33.83/4.75 spl0_3 <=> hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))),
% 33.83/4.75 introduced(split_symbol_definition)).
% 33.83/4.75 fof(f1353,plain,(
% 33.83/4.75 hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))|~spl0_3),
% 33.83/4.75 inference(component_clause,[status(thm)],[f1352])).
% 33.83/4.75 fof(f1355,plain,(
% 33.83/4.75 spl0_4 <=> 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_evsf,tc_Event_Oevent),tc_Event_Oevent))),
% 33.83/4.75 introduced(split_symbol_definition)).
% 33.83/4.75 fof(f1358,plain,(
% 33.83/4.75 ~spl0_2|spl0_3|~spl0_4),
% 33.83/4.75 inference(split_clause,[status(thm)],[f1301,f1349,f1352,f1355])).
% 33.83/4.75 fof(f1435,plain,(
% 33.83/4.75 ![X0]: (~hBOOL(hAPP(c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))))))),
% 33.83/4.75 inference(resolution,[status(thm)],[f1251,f1299])).
% 33.83/4.75 fof(f1593,plain,(
% 33.83/4.75 ![X0]: (~hBOOL(hAPP(c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))))))),
% 33.83/4.75 inference(backward_demodulation,[status(thm)],[f1070,f1435])).
% 33.83/4.75 fof(f1596,plain,(
% 33.83/4.75 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_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),
% 33.83/4.75 inference(backward_demodulation,[status(thm)],[f1070,f1298])).
% 33.83/4.75 fof(f1760,plain,(
% 33.83/4.75 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg))),
% 33.83/4.75 inference(backward_demodulation,[status(thm)],[f1037,f1300])).
% 33.83/4.75 fof(f2732,plain,(
% 33.83/4.75 spl0_58 <=> ~c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))),
% 33.83/4.75 introduced(split_symbol_definition)).
% 33.83/4.75 fof(f2733,plain,(
% 33.83/4.75 ![X0]: (~c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))|~spl0_58)),
% 33.83/4.75 inference(component_clause,[status(thm)],[f2732])).
% 33.83/4.75 fof(f2735,plain,(
% 33.83/4.75 ![X0]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|~c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)))),
% 33.83/4.75 inference(resolution,[status(thm)],[f1015,f1760])).
% 33.83/4.75 fof(f2736,plain,(
% 33.83/4.75 spl0_2|spl0_58),
% 33.83/4.75 inference(split_clause,[status(thm)],[f2735,f1349,f2732])).
% 33.83/4.75 fof(f2752,plain,(
% 33.83/4.75 ~hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))|~spl0_58),
% 33.83/4.75 inference(resolution,[status(thm)],[f2733,f766])).
% 33.83/4.75 fof(f2753,plain,(
% 33.83/4.75 $false|~spl0_58),
% 33.83/4.75 inference(forward_subsumption_resolution,[status(thm)],[f2752,f1297])).
% 33.83/4.75 fof(f2754,plain,(
% 33.83/4.75 ~spl0_58),
% 33.83/4.75 inference(contradiction_clause,[status(thm)],[f2753])).
% 33.83/4.75 fof(f3948,plain,(
% 33.83/4.75 spl0_131 <=> c_Message_Oagent_OServer=c_Message_Oagent_OSpy),
% 33.83/4.75 introduced(split_symbol_definition)).
% 33.83/4.75 fof(f3949,plain,(
% 33.83/4.75 c_Message_Oagent_OServer=c_Message_Oagent_OSpy|~spl0_131),
% 33.83/4.75 inference(component_clause,[status(thm)],[f3948])).
% 33.83/4.75 fof(f6172,plain,(
% 33.83/4.75 ![X0]: (~hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))))))),
% 33.83/4.75 inference(resolution,[status(thm)],[f1106,f1593])).
% 33.83/4.75 fof(f7762,plain,(
% 33.83/4.75 spl0_378 <=> hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))),
% 33.83/4.75 introduced(split_symbol_definition)).
% 33.83/4.75 fof(f7763,plain,(
% 33.83/4.75 ![X0]: (hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~spl0_378)),
% 33.83/4.75 inference(component_clause,[status(thm)],[f7762])).
% 33.83/4.75 fof(f13157,plain,(
% 33.83/4.75 hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K))))))|~spl0_3),
% 33.83/4.75 inference(resolution,[status(thm)],[f1353,f1253])).
% 33.83/4.75 fof(f13158,plain,(
% 33.83/4.75 $false|~spl0_3),
% 33.83/4.75 inference(forward_subsumption_resolution,[status(thm)],[f13157,f6172])).
% 33.83/4.75 fof(f13159,plain,(
% 33.83/4.75 ~spl0_3),
% 33.83/4.75 inference(contradiction_clause,[status(thm)],[f13158])).
% 33.83/4.75 fof(f13915,plain,(
% 33.83/4.75 $false|~spl0_131),
% 33.83/4.75 inference(forward_subsumption_resolution,[status(thm)],[f3949,f1220])).
% 33.83/4.75 fof(f13916,plain,(
% 33.83/4.75 ~spl0_131),
% 33.83/4.75 inference(contradiction_clause,[status(thm)],[f13915])).
% 33.83/4.75 fof(f16640,plain,(
% 33.83/4.75 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_List_Oset(X1,X2),X2))|X0=X3|~hBOOL(c_in(X0,c_Set_Oinsert(X3,c_List_Oset(X1,X2),X2),X2)))),
% 33.83/4.75 inference(forward_demodulation,[status(thm)],[f1070,f1258])).
% 33.83/4.75 fof(f16641,plain,(
% 33.83/4.75 spl0_803 <=> 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_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X)),
% 34.20/4.79 introduced(split_symbol_definition)).
% 34.20/4.79 fof(f16642,plain,(
% 34.20/4.79 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_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X)|~spl0_803),
% 34.20/4.79 inference(component_clause,[status(thm)],[f16641])).
% 34.20/4.79 fof(f16644,plain,(
% 34.20/4.79 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_evsf,tc_Event_Oevent),tc_Event_Oevent))|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_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X)),
% 34.20/4.79 inference(resolution,[status(thm)],[f16640,f1596])).
% 34.20/4.79 fof(f16645,plain,(
% 34.20/4.79 spl0_4|spl0_803),
% 34.20/4.79 inference(split_clause,[status(thm)],[f16644,f1355,f16641])).
% 34.20/4.79 fof(f17193,plain,(
% 34.20/4.79 $false|~spl0_378),
% 34.20/4.79 inference(backward_subsumption_resolution,[status(thm)],[f1294,f7763])).
% 34.20/4.79 fof(f17194,plain,(
% 34.20/4.79 ~spl0_378),
% 34.20/4.79 inference(contradiction_clause,[status(thm)],[f17193])).
% 34.20/4.79 fof(f19315,plain,(
% 34.20/4.79 c_Message_Oagent_OServer=c_Message_Oagent_OSpy|~spl0_803),
% 34.20/4.79 inference(resolution,[status(thm)],[f16642,f1193])).
% 34.20/4.79 fof(f19316,plain,(
% 34.20/4.79 spl0_131|~spl0_803),
% 34.20/4.79 inference(split_clause,[status(thm)],[f19315,f3948,f16641])).
% 34.20/4.79 fof(f19358,plain,(
% 34.20/4.79 $false),
% 34.20/4.79 inference(sat_refutation,[status(thm)],[f1358,f2736,f2754,f13159,f13916,f16645,f17194,f19316])).
% 34.20/4.79 % SZS output end CNFRefutation for theBenchmark.p
% 35.12/4.91 % Elapsed time: 4.565599 seconds
% 35.12/4.91 % CPU time: 34.632219 seconds
% 35.12/4.91 % Memory used: 534.417 MB
%------------------------------------------------------------------------------