TSTP Solution File: SWV304-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV304-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:41:15 EDT 2023
% Result : Unsatisfiable 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV304-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:54:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.36 % Refutation found
% 0.19/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.36 fof(f1,axiom,(
% 0.19/0.36 (![V_A,V_B,V_X,V_evs]: (( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f2,axiom,(
% 0.19/0.36 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f3,axiom,(
% 0.19/0.36 (![V_Z,V_X,V_H]: (( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f4,axiom,(
% 0.19/0.36 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f5,axiom,(
% 0.19/0.36 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f7,axiom,(
% 0.19/0.36 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f8,axiom,(
% 0.19/0.36 (![V_c,V_H]: (( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f9,axiom,(
% 0.19/0.36 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f10,axiom,(
% 0.19/0.36 (![V_evs,V_B,V_NA,V_NB,V_A]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_B,c_Event_Obad,tc_Message_Oagent)| c_in(c_Event_Oevent_OSays(V_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(v_sko__vCt(V_A,V_B,V_NA,V_NB,V_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f11,axiom,(
% 0.19/0.36 (![V_evs,V_B,V_X]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(c_Event_Oevent_OSays(v_sko__uwX(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f12,axiom,(
% 0.19/0.36 (![V_evs,V_A]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f13,axiom,(
% 0.19/0.36 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,V_A,T_a) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f14,negated_conjecture,(
% 0.19/0.36 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f15,negated_conjecture,(
% 0.19/0.36 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f16,negated_conjecture,(
% 0.19/0.36 ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X ) ),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f17,negated_conjecture,(
% 0.19/0.36 (![V_U]: (( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ) ))),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f18,negated_conjecture,(
% 0.19/0.36 c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f19,negated_conjecture,(
% 0.19/0.36 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f20,negated_conjecture,(
% 0.19/0.36 ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f21,plain,(
% 0.19/0.36 ![V_X,V_evs]: ((![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))|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f1])).
% 0.19/0.36 fof(f22,plain,(
% 0.19/0.36 ![X0,X1,X2,X3]: (~c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.36 fof(f23,plain,(
% 0.19/0.36 ![V_K,V_H]: ((![V_X]: (~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)))|c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg))),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f2])).
% 0.19/0.36 fof(f24,plain,(
% 0.19/0.36 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.36 fof(f25,plain,(
% 0.19/0.36 ![V_Z,V_H]: ((![V_X]: (~c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg))),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f3])).
% 0.19/0.36 fof(f26,plain,(
% 0.19/0.36 ![X0,X1,X2]: (~c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.36 fof(f27,plain,(
% 0.19/0.36 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.19/0.36 fof(f28,plain,(
% 0.19/0.36 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.36 fof(f29,plain,(
% 0.19/0.36 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f5])).
% 0.19/0.36 fof(f30,plain,(
% 0.19/0.36 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.36 fof(f33,plain,(
% 0.19/0.36 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f7])).
% 0.19/0.36 fof(f34,plain,(
% 0.19/0.36 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.19/0.36 fof(f35,plain,(
% 0.19/0.36 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.36 fof(f36,plain,(
% 0.19/0.36 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.36 fof(f37,plain,(
% 0.19/0.36 ![X0,X1,X2,X3,X4]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OAgent(X1))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(v_sko__vCt(X4,X1,X2,X3,X0),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OAgent(X1)))))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.36 fof(f38,plain,(
% 0.19/0.36 ![X0,X1,X2]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OSays(v_sko__uwX(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.36 fof(f39,plain,(
% 0.19/0.36 ![V_A]: ((![V_evs]: (~c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|c_in(V_A,c_Event_Obad,tc_Message_Oagent))),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f12])).
% 0.19/0.36 fof(f40,plain,(
% 0.19/0.36 ![X0,X1]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f39])).
% 0.19/0.36 fof(f41,plain,(
% 0.19/0.36 ![V_c,V_A,T_a]: ((![V_B]: (~c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)))|c_in(V_c,V_A,T_a))),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f13])).
% 0.19/0.36 fof(f42,plain,(
% 0.19/0.36 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f41])).
% 0.19/0.36 fof(f43,plain,(
% 0.19/0.36 ~c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.36 fof(f44,plain,(
% 0.19/0.36 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.36 fof(f45,plain,(
% 0.19/0.36 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))))=v_X),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.36 fof(f46,plain,(
% 0.19/0.36 (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|(![V_U]: ~c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.19/0.36 inference(miniscoping,[status(esa)],[f17])).
% 0.19/0.36 fof(f47,plain,(
% 0.19/0.36 ![X0]: (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.19/0.36 fof(f48,plain,(
% 0.19/0.36 c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.36 fof(f49,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.36 fof(f50,plain,(
% 0.19/0.36 ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.36 fof(f51,plain,(
% 0.19/0.36 spl0_0 <=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f52,plain,(
% 0.19/0.36 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|~spl0_0),
% 0.19/0.36 inference(component_clause,[status(thm)],[f51])).
% 0.19/0.36 fof(f54,plain,(
% 0.19/0.36 spl0_1 <=> c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))))=v_X),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f55,plain,(
% 0.19/0.36 c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))))=v_X|~spl0_1),
% 0.19/0.36 inference(component_clause,[status(thm)],[f54])).
% 0.19/0.36 fof(f57,plain,(
% 0.19/0.36 spl0_0|spl0_1),
% 0.19/0.36 inference(split_clause,[status(thm)],[f45,f51,f54])).
% 0.19/0.36 fof(f58,plain,(
% 0.19/0.36 spl0_2 <=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f59,plain,(
% 0.19/0.36 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|~spl0_2),
% 0.19/0.36 inference(component_clause,[status(thm)],[f58])).
% 0.19/0.36 fof(f61,plain,(
% 0.19/0.36 spl0_3 <=> ~c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f62,plain,(
% 0.19/0.36 ![X0]: (~c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)|~spl0_3)),
% 0.19/0.36 inference(component_clause,[status(thm)],[f61])).
% 0.19/0.36 fof(f64,plain,(
% 0.19/0.36 spl0_4 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f66,plain,(
% 0.19/0.36 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|spl0_4),
% 0.19/0.36 inference(component_clause,[status(thm)],[f64])).
% 0.19/0.36 fof(f67,plain,(
% 0.19/0.36 spl0_2|spl0_3|~spl0_4),
% 0.19/0.36 inference(split_clause,[status(thm)],[f47,f58,f61,f64])).
% 0.19/0.36 fof(f68,plain,(
% 0.19/0.36 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_insert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))),
% 0.19/0.36 inference(resolution,[status(thm)],[f42,f26])).
% 0.19/0.36 fof(f69,plain,(
% 0.19/0.36 spl0_5 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f70,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~spl0_5),
% 0.19/0.36 inference(component_clause,[status(thm)],[f69])).
% 0.19/0.36 fof(f72,plain,(
% 0.19/0.36 spl0_6 <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f74,plain,(
% 0.19/0.36 ~c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|spl0_6),
% 0.19/0.36 inference(component_clause,[status(thm)],[f72])).
% 0.19/0.36 fof(f75,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)),
% 0.19/0.36 inference(resolution,[status(thm)],[f68,f49])).
% 0.19/0.36 fof(f76,plain,(
% 0.19/0.36 spl0_4|spl0_5|~spl0_6),
% 0.19/0.36 inference(split_clause,[status(thm)],[f75,f64,f69,f72])).
% 0.19/0.36 fof(f77,plain,(
% 0.19/0.36 ![X0,X1,X2]: (c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.19/0.36 inference(resolution,[status(thm)],[f34,f36])).
% 0.19/0.36 fof(f79,plain,(
% 0.19/0.36 ![X0,X1,X2]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))),
% 0.19/0.36 inference(resolution,[status(thm)],[f38,f22])).
% 0.19/0.36 fof(f80,plain,(
% 0.19/0.36 spl0_7 <=> c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f82,plain,(
% 0.19/0.36 ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|spl0_7),
% 0.19/0.36 inference(component_clause,[status(thm)],[f80])).
% 0.19/0.36 fof(f83,plain,(
% 0.19/0.36 spl0_8 <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f84,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_8),
% 0.19/0.36 inference(component_clause,[status(thm)],[f83])).
% 0.19/0.36 fof(f86,plain,(
% 0.19/0.36 ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.19/0.36 inference(resolution,[status(thm)],[f79,f48])).
% 0.19/0.36 fof(f87,plain,(
% 0.19/0.36 ~spl0_7|spl0_8),
% 0.19/0.36 inference(split_clause,[status(thm)],[f86,f80,f83])).
% 0.19/0.36 fof(f88,plain,(
% 0.19/0.36 $false|spl0_7),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f82,f44])).
% 0.19/0.36 fof(f89,plain,(
% 0.19/0.36 spl0_7),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f88])).
% 0.19/0.36 fof(f109,plain,(
% 0.19/0.36 spl0_9 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f110,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_9),
% 0.19/0.36 inference(component_clause,[status(thm)],[f109])).
% 0.19/0.36 fof(f112,plain,(
% 0.19/0.36 spl0_10 <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f113,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_10),
% 0.19/0.36 inference(component_clause,[status(thm)],[f112])).
% 0.19/0.36 fof(f115,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_5),
% 0.19/0.36 inference(resolution,[status(thm)],[f70,f24])).
% 0.19/0.36 fof(f116,plain,(
% 0.19/0.36 spl0_9|spl0_10|~spl0_5),
% 0.19/0.36 inference(split_clause,[status(thm)],[f115,f109,f112,f69])).
% 0.19/0.36 fof(f117,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_10),
% 0.19/0.36 inference(resolution,[status(thm)],[f113,f35])).
% 0.19/0.36 fof(f118,plain,(
% 0.19/0.36 spl0_11 <=> c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f119,plain,(
% 0.19/0.36 c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~spl0_11),
% 0.19/0.36 inference(component_clause,[status(thm)],[f118])).
% 0.19/0.36 fof(f121,plain,(
% 0.19/0.36 ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~spl0_10),
% 0.19/0.36 inference(resolution,[status(thm)],[f117,f40])).
% 0.19/0.36 fof(f122,plain,(
% 0.19/0.36 ~spl0_7|spl0_11|~spl0_10),
% 0.19/0.36 inference(split_clause,[status(thm)],[f121,f80,f118,f112])).
% 0.19/0.36 fof(f123,plain,(
% 0.19/0.36 $false|~spl0_11),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f119,f43])).
% 0.19/0.36 fof(f124,plain,(
% 0.19/0.36 ~spl0_11),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f123])).
% 0.19/0.36 fof(f126,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_9),
% 0.19/0.36 inference(resolution,[status(thm)],[f110,f35])).
% 0.19/0.36 fof(f129,plain,(
% 0.19/0.36 c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_8),
% 0.19/0.36 inference(resolution,[status(thm)],[f84,f28])).
% 0.19/0.36 fof(f132,plain,(
% 0.19/0.36 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|~spl0_8),
% 0.19/0.36 inference(resolution,[status(thm)],[f129,f77])).
% 0.19/0.36 fof(f133,plain,(
% 0.19/0.36 $false|spl0_6|~spl0_8),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f132,f74])).
% 0.19/0.36 fof(f134,plain,(
% 0.19/0.36 spl0_6|~spl0_8),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f133])).
% 0.19/0.36 fof(f135,plain,(
% 0.19/0.36 c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_8),
% 0.19/0.36 inference(resolution,[status(thm)],[f129,f30])).
% 0.19/0.36 fof(f138,plain,(
% 0.19/0.36 $false|~spl0_2),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f59,f50])).
% 0.19/0.36 fof(f139,plain,(
% 0.19/0.36 ~spl0_2),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f138])).
% 0.19/0.36 fof(f141,plain,(
% 0.19/0.36 $false|~spl0_3|~spl0_0),
% 0.19/0.36 inference(backward_subsumption_resolution,[status(thm)],[f52,f62])).
% 0.19/0.36 fof(f142,plain,(
% 0.19/0.36 ~spl0_3|~spl0_0),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f141])).
% 0.19/0.36 fof(f143,plain,(
% 0.19/0.36 spl0_12 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f145,plain,(
% 0.19/0.36 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|spl0_12),
% 0.19/0.36 inference(component_clause,[status(thm)],[f143])).
% 0.19/0.36 fof(f146,plain,(
% 0.19/0.36 ~c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|c_in(v_B,c_Event_Obad,tc_Message_Oagent)|~spl0_3),
% 0.19/0.36 inference(resolution,[status(thm)],[f62,f37])).
% 0.19/0.36 fof(f147,plain,(
% 0.19/0.36 ~spl0_7|~spl0_12|spl0_11|~spl0_3),
% 0.19/0.36 inference(split_clause,[status(thm)],[f146,f80,f143,f118,f61])).
% 0.19/0.36 fof(f152,plain,(
% 0.19/0.36 ![X0]: (~c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(X0),tc_Message_Omsg)|~spl0_1)),
% 0.19/0.36 inference(paramodulation,[status(thm)],[f55,f28])).
% 0.19/0.36 fof(f161,plain,(
% 0.19/0.36 ![X0]: (~c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(X0),tc_Message_Omsg)|~spl0_1)),
% 0.19/0.36 inference(resolution,[status(thm)],[f152,f28])).
% 0.19/0.36 fof(f168,plain,(
% 0.19/0.36 ![X0]: (~c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(X0),tc_Message_Omsg)|~spl0_1)),
% 0.19/0.36 inference(resolution,[status(thm)],[f161,f28])).
% 0.19/0.36 fof(f176,plain,(
% 0.19/0.36 ![X0]: (~c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(X0),tc_Message_Omsg)|~spl0_1)),
% 0.19/0.36 inference(resolution,[status(thm)],[f168,f35])).
% 0.19/0.36 fof(f177,plain,(
% 0.19/0.36 ~c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|~spl0_1|spl0_12),
% 0.19/0.36 inference(resolution,[status(thm)],[f176,f145])).
% 0.19/0.36 fof(f178,plain,(
% 0.19/0.36 $false|~spl0_8|~spl0_1|spl0_12),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f177,f135])).
% 0.19/0.37 fof(f179,plain,(
% 0.19/0.37 ~spl0_8|~spl0_1|spl0_12),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f178])).
% 0.19/0.37 fof(f180,plain,(
% 0.19/0.37 $false|~spl0_9|spl0_4),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f66,f126])).
% 0.19/0.37 fof(f181,plain,(
% 0.19/0.37 ~spl0_9|spl0_4),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f180])).
% 0.19/0.37 fof(f182,plain,(
% 0.19/0.37 $false),
% 0.19/0.37 inference(sat_refutation,[status(thm)],[f57,f67,f76,f87,f89,f116,f122,f124,f134,f139,f142,f147,f179,f181])).
% 0.19/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37 % Elapsed time: 0.027408 seconds
% 0.19/0.37 % CPU time: 0.074290 seconds
% 0.19/0.37 % Memory used: 14.366 MB
%------------------------------------------------------------------------------