%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV763-1 : 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 : n010.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 02:53:07 PM UTC 2026
% Result : Unsatisfiable 37.16s 5.18s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV763-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 09:24:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 37.16/5.18 % Refutation found
% 37.16/5.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 37.16/5.18 % SZS output start CNFRefutation for theBenchmark
% 37.16/5.18 fof(f291,axiom,(
% 37.16/5.18 (![V_K]: (( c_Message_OinvKey(V_K) = V_K| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ) ))),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f306,axiom,(
% 37.16/5.18 (![V_K,V_H,V_X]: (( hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ) ))),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f482,axiom,(
% 37.16/5.18 (![V_K,V_evs]: (( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ) ))),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f540,axiom,(
% 37.16/5.18 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f541,axiom,(
% 37.16/5.18 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f562,negated_conjecture,(
% 37.16/5.18 hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f563,negated_conjecture,(
% 37.16/5.18 ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f564,negated_conjecture,(
% 37.16/5.18 hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f572,negated_conjecture,(
% 37.16/5.18 hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
% 37.16/5.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.16/5.18 fof(f1016,plain,(
% 37.16/5.18 ![X0]: (c_Message_OinvKey(X0)=X0|~hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat)))),
% 37.16/5.18 inference(cnf_transformation,[status(thm)],[f291])).
% 37.16/5.18 fof(f1039,plain,(
% 37.16/5.18 ![V_K,V_H]: (hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat))|(![V_X]: ~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))))),
% 37.16/5.18 inference(miniscoping,[status(thm)],[f306])).
% 37.16/5.18 fof(f1040,plain,(
% 37.16/5.18 ![X0,X1,X2]: (hBOOL(c_in(c_Message_OinvKey(X0),c_Message_OkeysFor(X1),tc_nat))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)))),
% 37.16/5.18 inference(cnf_transformation,[status(thm)],[f1039])).
% 37.16/5.18 fof(f1300,plain,(
% 37.16/5.18 ![X0,X1]: (~hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)))),
% 37.16/5.18 inference(cnf_transformation,[status(thm)],[f482])).
% 37.16/5.18 fof(f1385,plain,(
% 37.16/5.18 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 37.16/5.18 inference(miniscoping,[status(thm)],[f540])).
% 37.16/5.18 fof(f1386,plain,(
% 37.16/5.18 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 37.16/5.18 inference(cnf_transformation,[status(thm)],[f1385])).
% 37.16/5.18 fof(f1387,plain,(
% 37.16/5.18 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 37.16/5.18 inference(miniscoping,[status(thm)],[f541])).
% 37.16/5.18 fof(f1388,plain,(
% 37.16/5.18 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 37.16/5.18 inference(cnf_transformation,[status(thm)],[f1387])).
% 37.16/5.18 fof(f1415,plain,(
% 37.16/5.18 hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 37.16/5.18 inference(cnf_transformation,[status(thm)],[f562])).
% 37.16/5.18 fof(f1416,plain,(
% 37.16/5.18 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))),
% 37.16/5.18 inference(cnf_transformation,[status(thm)],[f563])).
% 37.16/5.18 fof(f1417,plain,(
% 37.16/5.18 hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))),
% 37.16/5.18 inference(cnf_transformation,[status(thm)],[f564])).
% 37.16/5.18 fof(f1425,plain,(
% 37.16/5.18 hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))),
% 35.50/5.27 inference(cnf_transformation,[status(thm)],[f572])).
% 35.50/5.27 fof(f2556,plain,(
% 35.50/5.27 c_Message_OinvKey(v_KAB)=v_KAB),
% 35.50/5.27 inference(resolution,[status(thm)],[f1016,f1417])).
% 35.50/5.27 fof(f2561,definition,(
% 35.50/5.27 sQ19_spl <=> (hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)))),
% 35.50/5.27 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 35.50/5.27 fof(f2563,plain,(
% 35.50/5.27 ~hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))|sQ19_spl),
% 35.50/5.27 inference(component_clause,[status(thm)],[f2561])).
% 35.50/5.27 fof(f3361,plain,(
% 35.50/5.27 hBOOL(hAPP(c_Message_OsymKeys,v_KAB))),
% 35.50/5.27 inference(resolution,[status(thm)],[f1388,f1417])).
% 35.50/5.27 fof(f3364,plain,(
% 35.50/5.27 hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2))),
% 35.50/5.27 inference(resolution,[status(thm)],[f1388,f1415])).
% 35.50/5.27 fof(f3419,plain,(
% 35.50/5.27 ![X0]: (hBOOL(c_in(v_KAB,c_Message_OsymKeys,X0)))),
% 35.50/5.27 inference(resolution,[status(thm)],[f3361,f1386])).
% 35.50/5.27 fof(f3422,plain,(
% 35.50/5.27 ![X0]: (hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X0)))),
% 35.50/5.27 inference(resolution,[status(thm)],[f3364,f1386])).
% 35.50/5.27 fof(f4358,plain,(
% 35.50/5.27 $false|sQ19_spl),
% 35.50/5.27 inference(forward_subsumption_resolution,[status(thm)],[f2563,f3419])).
% 35.50/5.27 fof(f4359,plain,(
% 35.50/5.27 sQ19_spl),
% 35.50/5.27 inference(contradiction_clause,[status(thm)],[f4358])).
% 35.50/5.27 fof(f4629,definition,(
% 35.50/5.27 sQ132_spl <=> (hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 35.50/5.27 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 35.50/5.27 fof(f4631,plain,(
% 35.50/5.27 ~hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|sQ132_spl),
% 35.50/5.27 inference(component_clause,[status(thm)],[f4629])).
% 35.50/5.27 fof(f4633,plain,(
% 35.50/5.27 $false|sQ132_spl),
% 35.50/5.27 inference(forward_subsumption_resolution,[status(thm)],[f4631,f3422])).
% 35.50/5.27 fof(f4634,plain,(
% 35.50/5.27 sQ132_spl),
% 35.50/5.27 inference(contradiction_clause,[status(thm)],[f4633])).
% 35.50/5.27 fof(f16909,plain,(
% 35.50/5.27 hBOOL(c_in(c_Message_OinvKey(v_KAB),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))),
% 35.50/5.27 inference(resolution,[status(thm)],[f1040,f1425])).
% 35.50/5.27 fof(f16921,plain,(
% 35.50/5.27 hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))),
% 35.50/5.27 inference(forward_demodulation,[status(thm)],[f2556,f16909])).
% 35.50/5.27 fof(f34918,plain,(
% 35.50/5.27 ~hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))|~hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))),
% 35.50/5.27 inference(resolution,[status(thm)],[f1300,f16921])).
% 35.50/5.27 fof(f34925,definition,(
% 35.50/5.27 sQ730_spl <=> (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)))),
% 35.50/5.27 introduced(definition,[new_symbols(definition,[sQ730_spl])],[split_symbol_definition])).
% 35.50/5.27 fof(f34926,plain,(
% 35.50/5.27 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))|~sQ730_spl),
% 35.50/5.27 inference(component_clause,[status(thm)],[f34925])).
% 35.50/5.27 fof(f34928,plain,(
% 35.50/5.27 ~sQ132_spl|~sQ19_spl|sQ730_spl),
% 35.50/5.27 inference(split_clause,[status(thm)],[f34918,f4629,f2561,f34925])).
% 35.50/5.27 fof(f34938,plain,(
% 35.50/5.27 $false|~sQ730_spl),
% 35.50/5.27 inference(forward_subsumption_resolution,[status(thm)],[f34926,f1416])).
% 35.50/5.27 fof(f34939,plain,(
% 35.50/5.27 ~sQ730_spl),
% 35.50/5.27 inference(contradiction_clause,[status(thm)],[f34938])).
% 35.50/5.27 fof(f34940,plain,(
% 35.50/5.27 $false),
% 35.50/5.27 inference(sat_refutation,[status(thm)],[f4359,f4634,f34928,f34939])).
% 35.50/5.27 % SZS output end CNFRefutation for theBenchmark.p
% 18.25/5.31 % Elapsed time: 4.933737 seconds
% 18.25/5.31 % CPU time: 38.556611 seconds
% 18.25/5.31 % Total memory used: 753.243 MB
% 18.25/5.31 % Net memory used: 729.851 MB
%------------------------------------------------------------------------------