%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV748-1 : 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 : n004.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 02:53:06 PM UTC 2026
% Result : Unsatisfiable 9.21s 1.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV748-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 09:23:19 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.42 % Drodi V4.1.1
% 9.21/1.65 % Refutation found
% 9.21/1.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.21/1.65 % SZS output start CNFRefutation for theBenchmark
% 9.21/1.65 fof(f87,axiom,(
% 9.21/1.65 (![V_H]: (c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f191,axiom,(
% 9.21/1.65 (![V_X,V_H,V_G]: (( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))| ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ))),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f383,axiom,(
% 9.21/1.65 (![V_c,V_evs]: (( hBOOL(c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg))| ~ hBOOL(c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ))),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f396,axiom,(
% 9.21/1.65 (![V_X,V_H,V_K]: (( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ))),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f411,axiom,(
% 9.21/1.65 (![V_H]: (c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f449,axiom,(
% 9.21/1.65 (![V_X,V_evs,V_S,V_A,V_KA,V_N,V_B,V_K]: (( hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| ~ hBOOL(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)) ) ))),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f469,axiom,(
% 9.21/1.65 (![V_X,V_H,V_Y]: (( hBOOL(c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)) ) ))),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f534,negated_conjecture,(
% 9.21/1.65 ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f537,negated_conjecture,(
% 9.21/1.65 ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f540,negated_conjecture,(
% 9.21/1.65 ( 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_evs2,tc_Event_Oevent),tc_Event_Oevent))| v_A = v_Aa ) ),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f566,negated_conjecture,(
% 9.21/1.65 ( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ) ),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f574,negated_conjecture,(
% 9.21/1.65 ( hAPP(c_Public_OshrK,v_Ba) != v_KAB| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))| v_K = v_KAB| v_K = v_KAB ) ),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f575,negated_conjecture,(
% 9.21/1.65 ( v_K = v_KAB| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))| v_K = v_KAB ) ),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f587,negated_conjecture,(
% 9.21/1.65 ( v_K = v_KAB| hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))| hAPP(c_Public_OshrK,v_Ba) = v_KAB| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))| v_K = v_KAB ) ),
% 9.21/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.21/1.65 fof(f731,plain,(
% 9.21/1.65 ![X0]: (c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f87])).
% 9.21/1.65 fof(f885,plain,(
% 9.21/1.65 ![V_X,V_G]: ((![V_H]: (hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))|~c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))))|~hBOOL(c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg)))),
% 9.21/1.65 inference(miniscoping,[status(thm)],[f191])).
% 9.21/1.65 fof(f886,plain,(
% 9.21/1.65 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|~c_lessequals(X2,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f885])).
% 9.21/1.65 fof(f1158,plain,(
% 9.21/1.65 ![X0,X1]: (hBOOL(c_in(X0,c_Event_Oused(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f383])).
% 9.21/1.65 fof(f1174,plain,(
% 9.21/1.65 ![V_X,V_H]: (hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))|(![V_K]: ~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg))))),
% 9.21/1.65 inference(miniscoping,[status(thm)],[f396])).
% 9.21/1.65 fof(f1175,plain,(
% 9.21/1.65 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f1174])).
% 9.21/1.65 fof(f1194,plain,(
% 9.21/1.65 ![X0]: (c_Message_Oanalz(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f411])).
% 9.21/1.65 fof(f1256,plain,(
% 9.21/1.65 ![V_X,V_evs]: (hBOOL(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]: ~hBOOL(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))))),
% 9.21/1.65 inference(miniscoping,[status(thm)],[f449])).
% 9.21/1.65 fof(f1257,plain,(
% 9.21/1.65 ![X0,X1,X2,X3,X4,X5,X6,X7]: (hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(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)))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f1256])).
% 9.21/1.65 fof(f1292,plain,(
% 9.21/1.65 ![V_X,V_H]: (hBOOL(c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg))|(![V_Y]: ~hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg))))),
% 9.21/1.65 inference(miniscoping,[status(thm)],[f469])).
% 9.21/1.65 fof(f1293,plain,(
% 9.21/1.65 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Event_Oused(X1),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X0,X2),c_Event_Oused(X1),tc_Message_Omsg)))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f1292])).
% 9.21/1.65 fof(f1383,plain,(
% 9.21/1.65 ~hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f534])).
% 9.21/1.65 fof(f1386,plain,(
% 9.21/1.65 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f537])).
% 9.21/1.65 fof(f1389,plain,(
% 9.21/1.65 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_evs2,tc_Event_Oevent),tc_Event_Oevent))|v_A=v_Aa),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f540])).
% 9.21/1.65 fof(f1426,plain,(
% 9.21/1.65 hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))|hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f566])).
% 9.21/1.65 fof(f1434,plain,(
% 9.21/1.65 ~hAPP(c_Public_OshrK,v_Ba)=v_KAB|~hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))|v_K=v_KAB|v_K=v_KAB),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f574])).
% 9.21/1.65 fof(f1435,plain,(
% 9.21/1.65 v_K=v_KAB|~hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))|v_K=v_KAB),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f575])).
% 9.21/1.65 fof(f1449,plain,(
% 9.21/1.65 v_K=v_KAB|hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))|hAPP(c_Public_OshrK,v_Ba)=v_KAB|~hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))|v_K=v_KAB),
% 9.21/1.65 inference(cnf_transformation,[status(thm)],[f587])).
% 9.21/1.65 fof(f1502,definition,(
% 9.21/1.65 sQ2_spl <=> (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_evs2,tc_Event_Oevent),tc_Event_Oevent)))),
% 9.21/1.65 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 9.21/1.65 fof(f1503,plain,(
% 9.21/1.65 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_evs2,tc_Event_Oevent),tc_Event_Oevent))|~sQ2_spl),
% 9.21/1.65 inference(component_clause,[status(thm)],[f1502])).
% 9.21/1.65 fof(f1505,definition,(
% 9.21/1.65 sQ3_spl <=> (v_A=v_Aa)),
% 9.21/1.65 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 9.21/1.65 fof(f1506,plain,(
% 9.21/1.65 v_A=v_Aa|~sQ3_spl),
% 9.21/1.65 inference(component_clause,[status(thm)],[f1505])).
% 9.21/1.65 fof(f1508,plain,(
% 9.21/1.65 sQ2_spl|sQ3_spl),
% 9.21/1.65 inference(split_clause,[status(thm)],[f1389,f1502,f1505])).
% 9.21/1.65 fof(f1513,definition,(
% 9.21/1.65 sQ5_spl <=> (hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)))),
% 9.21/1.65 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 9.21/1.65 fof(f1514,plain,(
% 9.21/1.65 hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))|~sQ5_spl),
% 9.21/1.65 inference(component_clause,[status(thm)],[f1513])).
% 9.21/1.65 fof(f1529,definition,(
% 9.21/1.65 sQ8_spl <=> (v_K=v_KAB)),
% 9.21/1.65 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 9.21/1.65 fof(f1530,plain,(
% 9.21/1.65 v_K=v_KAB|~sQ8_spl),
% 9.21/1.65 inference(component_clause,[status(thm)],[f1529])).
% 9.21/1.65 fof(f1550,definition,(
% 9.21/1.65 sQ10_spl <=> (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)))),
% 9.21/1.65 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 9.21/1.65 fof(f1551,plain,(
% 9.21/1.65 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))|~sQ10_spl),
% 9.21/1.65 inference(component_clause,[status(thm)],[f1550])).
% 9.21/1.65 fof(f1555,plain,(
% 9.21/1.65 sQ5_spl|sQ10_spl),
% 9.21/1.65 inference(split_clause,[status(thm)],[f1426,f1513,f1550])).
% 9.21/1.65 fof(f1563,definition,(
% 9.21/1.65 sQ13_spl <=> (hAPP(c_Public_OshrK,v_Ba)=v_KAB)),
% 9.21/1.65 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 9.21/1.65 fof(f1567,definition,(
% 9.21/1.65 sQ14_spl <=> (hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)))),
% 9.21/1.65 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 9.21/1.65 fof(f1575,plain,(
% 9.21/1.65 ~sQ13_spl|~sQ5_spl|sQ8_spl),
% 9.21/1.65 inference(split_clause,[status(thm)],[f1434,f1563,f1513,f1529])).
% 9.21/1.65 fof(f1576,plain,(
% 9.21/1.65 sQ8_spl|~sQ14_spl|~sQ5_spl),
% 9.21/1.65 inference(split_clause,[status(thm)],[f1435,f1529,f1567,f1513])).
% 9.21/1.65 fof(f1588,plain,(
% 9.21/1.65 sQ8_spl|sQ14_spl|sQ13_spl|~sQ5_spl),
% 9.21/1.65 inference(split_clause,[status(thm)],[f1449,f1529,f1567,f1563,f1513])).
% 9.21/1.65 fof(f1625,plain,(
% 9.21/1.65 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_KAB),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_evs2,tc_Event_Oevent),tc_Event_Oevent))|~sQ8_spl|~sQ2_spl),
% 9.21/1.65 inference(forward_demodulation,[status(thm)],[f1530,f1503])).
% 9.21/1.65 fof(f1626,plain,(
% 9.21/1.65 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_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))|~sQ8_spl|~sQ2_spl),
% 9.21/1.67 inference(forward_demodulation,[status(thm)],[f1530,f1625])).
% 9.21/1.67 fof(f1658,plain,(
% 9.21/1.67 hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))|~sQ8_spl|~sQ2_spl),
% 9.21/1.67 inference(resolution,[status(thm)],[f1257,f1626])).
% 9.21/1.67 fof(f1669,plain,(
% 9.21/1.67 hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))|~sQ8_spl|~sQ2_spl),
% 9.21/1.67 inference(resolution,[status(thm)],[f1175,f1658])).
% 9.21/1.67 fof(f1679,plain,(
% 9.21/1.67 hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_A)),c_Event_Oused(v_evs2),tc_Message_Omsg))|~sQ8_spl|~sQ2_spl),
% 9.21/1.67 inference(resolution,[status(thm)],[f1669,f1158])).
% 9.21/1.67 fof(f1682,plain,(
% 9.21/1.67 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))|~sQ8_spl|~sQ2_spl),
% 9.21/1.67 inference(resolution,[status(thm)],[f1679,f1293])).
% 9.21/1.67 fof(f1685,plain,(
% 9.21/1.67 $false|~sQ8_spl|~sQ2_spl),
% 9.21/1.67 inference(forward_subsumption_resolution,[status(thm)],[f1682,f1386])).
% 9.21/1.67 fof(f1686,plain,(
% 9.21/1.67 ~sQ8_spl|~sQ2_spl),
% 9.21/1.67 inference(contradiction_clause,[status(thm)],[f1685])).
% 9.21/1.67 fof(f1692,plain,(
% 9.21/1.67 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~sQ3_spl|~sQ5_spl),
% 9.21/1.67 inference(backward_demodulation,[status(thm)],[f1506,f1514])).
% 9.21/1.67 fof(f1693,plain,(
% 9.21/1.67 $false|~sQ3_spl|~sQ5_spl),
% 9.21/1.67 inference(forward_subsumption_resolution,[status(thm)],[f1692,f1383])).
% 9.21/1.67 fof(f1694,plain,(
% 9.21/1.67 ~sQ3_spl|~sQ5_spl),
% 9.21/1.67 inference(contradiction_clause,[status(thm)],[f1693])).
% 9.21/1.67 fof(f1795,plain,(
% 9.21/1.67 ![X0]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(X0),tc_Message_Omsg))|~c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))|~sQ10_spl)),
% 9.21/1.67 inference(resolution,[status(thm)],[f886,f1551])).
% 9.21/1.67 fof(f1920,plain,(
% 9.21/1.67 ![X0]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Message_Oparts(X0)),tc_Message_Omsg))|~c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))|~sQ10_spl)),
% 9.21/1.67 inference(paramodulation,[status(thm)],[f1194,f1795])).
% 9.21/1.67 fof(f1925,plain,(
% 9.21/1.67 ![X0]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oparts(X0),tc_Message_Omsg))|~c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))|~sQ10_spl)),
% 9.21/1.67 inference(forward_demodulation,[status(thm)],[f1194,f1920])).
% 9.21/1.67 fof(f4686,plain,(
% 9.21/1.67 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))|~sQ10_spl),
% 9.21/1.67 inference(resolution,[status(thm)],[f1925,f731])).
% 9.21/1.67 fof(f5863,plain,(
% 9.21/1.67 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))|~sQ10_spl),
% 9.21/1.67 inference(resolution,[status(thm)],[f4686,f1158])).
% 9.21/1.67 fof(f5866,plain,(
% 9.21/1.67 $false|~sQ10_spl),
% 9.21/1.67 inference(forward_subsumption_resolution,[status(thm)],[f5863,f1386])).
% 9.21/1.67 fof(f5867,plain,(
% 9.21/1.67 ~sQ10_spl),
% 9.21/1.67 inference(contradiction_clause,[status(thm)],[f5866])).
% 9.21/1.67 fof(f5868,plain,(
% 9.21/1.67 $false),
% 9.21/1.67 inference(sat_refutation,[status(thm)],[f1508,f1555,f1575,f1576,f1588,f1686,f1694,f5867])).
% 9.21/1.67 % SZS output end CNFRefutation for theBenchmark.p
% 9.21/1.69 % Elapsed time: 1.315561 seconds
% 9.21/1.69 % CPU time: 9.810284 seconds
% 9.21/1.69 % Total memory used: 314.296 MB
% 9.21/1.69 % Net memory used: 307.012 MB
%------------------------------------------------------------------------------