TSTP Solution File: SWV761-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV761-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:43:57 EDT 2023
% Result : Unsatisfiable 198.28s 25.39s
% Output : CNFRefutation 200.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV761-1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:27:37 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.34 % Drodi V3.5.1
% 198.28/25.39 % Refutation found
% 198.28/25.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 198.28/25.39 % SZS output start CNFRefutation for theBenchmark
% 198.28/25.39 fof(f22,axiom,(
% 198.28/25.39 (![T_a]: (c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f47,axiom,(
% 198.28/25.39 (![V_B,V_a,T_a]: (c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f120,axiom,(
% 198.28/25.39 (![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)) ) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f156,axiom,(
% 198.28/25.39 (![V_x,T_a]: (c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f160,axiom,(
% 198.28/25.39 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f192,axiom,(
% 198.28/25.39 (![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) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f215,axiom,(
% 198.28/25.39 (![V_Z,V_H,V_X]: (( hBOOL(c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))| ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))| ~ hBOOL(c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f222,axiom,(
% 198.28/25.39 (![V_K,V_X,V_G,V_H]: (( 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))| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),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)) ) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f255,axiom,(
% 198.28/25.39 (![V_c,V_B,T_a,V_A]: (( hBOOL(c_in(V_c,V_B,T_a))| hBOOL(c_in(V_c,V_A,T_a))| ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f256,axiom,(
% 198.28/25.39 (![V_x,T_a]: (hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f261,axiom,(
% 198.28/25.39 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f371,axiom,(
% 198.28/25.39 (![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) ))),
% 198.28/25.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.39 fof(f439,axiom,(
% 198.28/25.39 (![V_Y,V_H,V_X]: (( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ))),
% 198.28/25.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.40 fof(f440,axiom,(
% 198.28/25.40 (![V_X,V_H,V_Y]: (( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ))),
% 198.28/25.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.40 fof(f448,axiom,(
% 198.28/25.40 (![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 ) ))),
% 198.28/25.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.40 fof(f459,axiom,(
% 198.28/25.40 (![V_H]: (c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 198.28/25.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.40 fof(f461,axiom,(
% 198.28/25.40 (![V_H]: (c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ))),
% 198.28/25.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.40 fof(f470,axiom,(
% 198.28/25.40 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ),
% 198.28/25.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f491,axiom,(
% 198.28/25.42 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f492,axiom,(
% 198.28/25.42 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f497,axiom,(
% 198.28/25.42 (![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)) ) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f501,axiom,(
% 198.28/25.42 (![V_agt,V_H]: (hBOOL(c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg)) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f510,axiom,(
% 198.28/25.42 (![V_K,V_X,V_H]: (( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f513,axiom,(
% 198.28/25.42 (![V_H]: (c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f518,axiom,(
% 198.28/25.42 (![V_c,V_evs,V_A,V_B,V_X]: (( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)) ) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f526,axiom,(
% 198.28/25.42 (![V_c,V_H]: (( ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg))| hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)) ) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f530,negated_conjecture,(
% 198.28/25.42 hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f531,negated_conjecture,(
% 198.28/25.42 ~ 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_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)) ),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f532,negated_conjecture,(
% 198.28/25.42 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) ),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f533,negated_conjecture,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)) ),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f534,negated_conjecture,(
% 198.28/25.42 (![V_x]: (~ hBOOL(c_in(c_Event_Oevent_OSays(V_x,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f535,negated_conjecture,(
% 198.28/25.42 ( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))| 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)) ) ),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f540,axiom,(
% 198.28/25.42 (![T_2,T_1]: (( class_Orderings_Oorder(tc_fun(T_2,T_1))| ~ class_Orderings_Oorder(T_1) ) ))),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f553,axiom,(
% 198.28/25.42 class_Orderings_Oorder(tc_bool) ),
% 198.28/25.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 198.28/25.42 fof(f581,plain,(
% 198.28/25.42 ![X0]: (c_List_Odistinct(c_List_Olist_ONil(X0),X0))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f22])).
% 198.28/25.42 fof(f616,plain,(
% 198.28/25.42 ![X0,X1,X2]: (c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f47])).
% 198.28/25.42 fof(f723,plain,(
% 198.28/25.42 ![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)))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f120])).
% 198.28/25.42 fof(f724,plain,(
% 198.28/25.42 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))|~hBOOL(hAPP(X1,X3)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f723])).
% 198.28/25.42 fof(f782,plain,(
% 198.28/25.42 ![X0,X1]: (c_lessequals(X0,X0,tc_fun(X1,tc_bool)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f156])).
% 198.28/25.42 fof(f788,plain,(
% 198.28/25.42 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f160])).
% 198.28/25.42 fof(f789,plain,(
% 198.28/25.42 ![X0,X1]: (~class_Orderings_Oorder(X0)|c_lessequals(X1,X1,X0))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f788])).
% 198.28/25.42 fof(f834,plain,(
% 198.28/25.42 ![X0,X1,X2]: (c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2)=c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f192])).
% 198.28/25.42 fof(f866,plain,(
% 198.28/25.42 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))|~hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f215])).
% 198.28/25.42 fof(f875,plain,(
% 198.28/25.42 ![V_X,V_H]: ((![V_G]: ((![V_K]: (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))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),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)))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f222])).
% 198.28/25.42 fof(f876,plain,(
% 198.28/25.42 ![X0,X1,X2,X3]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X2),tc_Message_Omsg))|~c_lessequals(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f875])).
% 198.28/25.42 fof(f923,plain,(
% 198.28/25.42 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,X1,X2))|hBOOL(c_in(X0,X3,X2))|~hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f255])).
% 198.28/25.42 fof(f924,plain,(
% 198.28/25.42 ![X0,X1]: (hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f256])).
% 198.28/25.42 fof(f930,plain,(
% 198.28/25.42 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X2)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f261])).
% 198.28/25.42 fof(f1067,plain,(
% 198.28/25.42 ![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))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f371])).
% 198.28/25.42 fof(f1176,plain,(
% 198.28/25.42 ![V_Y,V_H]: (hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))|(![V_X]: ~hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f439])).
% 198.28/25.42 fof(f1177,plain,(
% 198.28/25.42 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f1176])).
% 198.28/25.42 fof(f1178,plain,(
% 198.28/25.42 ![V_X,V_H]: (hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))|(![V_Y]: ~hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f440])).
% 198.28/25.42 fof(f1179,plain,(
% 198.28/25.42 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f1178])).
% 198.28/25.42 fof(f1191,plain,(
% 198.28/25.42 ![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)),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f448])).
% 198.28/25.42 fof(f1192,plain,(
% 198.28/25.42 ![X0,X1,X2,X3,X4,X5]: (~c_Event_Oevent_OSays(X0,X1,X2)=c_Event_Oevent_OSays(X3,X4,X5)|X0=X3)),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f1191])).
% 198.28/25.42 fof(f1210,plain,(
% 198.28/25.42 ![X0]: (c_Message_Oparts(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f459])).
% 198.28/25.42 fof(f1212,plain,(
% 198.28/25.42 ![X0]: (c_Message_Oanalz(c_Message_Oparts(X0))=c_Message_Oparts(X0))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f461])).
% 198.28/25.42 fof(f1224,plain,(
% 198.28/25.42 ~c_Message_Oagent_OServer=c_Message_Oagent_OSpy),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f470])).
% 198.28/25.42 fof(f1252,plain,(
% 198.28/25.42 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f491])).
% 198.28/25.42 fof(f1253,plain,(
% 198.28/25.42 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f1252])).
% 198.28/25.42 fof(f1254,plain,(
% 198.28/25.42 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f492])).
% 198.28/25.42 fof(f1255,plain,(
% 198.28/25.42 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f1254])).
% 198.28/25.42 fof(f1263,plain,(
% 198.28/25.42 ![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)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f497])).
% 198.28/25.42 fof(f1269,plain,(
% 198.28/25.42 ![X0,X1]: (hBOOL(c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f501])).
% 198.28/25.42 fof(f1280,plain,(
% 198.28/25.42 ![V_K,V_H]: ((![V_X]: (hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f510])).
% 198.28/25.42 fof(f1281,plain,(
% 198.28/25.42 ![X0,X1,X2]: (hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg))|hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f1280])).
% 198.28/25.42 fof(f1284,plain,(
% 198.28/25.42 ![X0]: (c_Message_Osynth(c_Message_Osynth(X0))=c_Message_Osynth(X0))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f513])).
% 198.28/25.42 fof(f1290,plain,(
% 198.28/25.42 ![V_c,V_evs]: (~hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))|(![V_A,V_B,V_X]: hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg))))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f518])).
% 198.28/25.42 fof(f1291,plain,(
% 198.28/25.42 ![X0,X1,X2,X3,X4]: (~hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X1,tc_Event_Oevent))),tc_Message_Omsg)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f1290])).
% 198.28/25.42 fof(f1300,plain,(
% 198.28/25.42 ![X0,X1]: (~hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f526])).
% 198.28/25.42 fof(f1304,plain,(
% 198.28/25.42 hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f530])).
% 198.28/25.42 fof(f1305,plain,(
% 198.28/25.42 ~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_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f531])).
% 198.28/25.42 fof(f1306,plain,(
% 198.28/25.42 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f532])).
% 198.28/25.42 fof(f1307,plain,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f533])).
% 198.28/25.42 fof(f1308,plain,(
% 198.28/25.42 ![X0]: (~hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f534])).
% 198.28/25.42 fof(f1309,plain,(
% 198.28/25.42 hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))|~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))|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))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f535])).
% 198.28/25.42 fof(f1318,plain,(
% 198.28/25.42 ![T_1]: ((![T_2]: class_Orderings_Oorder(tc_fun(T_2,T_1)))|~class_Orderings_Oorder(T_1))),
% 198.28/25.42 inference(miniscoping,[status(esa)],[f540])).
% 198.28/25.42 fof(f1319,plain,(
% 198.28/25.42 ![X0,X1]: (class_Orderings_Oorder(tc_fun(X0,X1))|~class_Orderings_Oorder(X1))),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f1318])).
% 198.28/25.42 fof(f1334,plain,(
% 198.28/25.42 class_Orderings_Oorder(tc_bool)),
% 198.28/25.42 inference(cnf_transformation,[status(esa)],[f553])).
% 198.28/25.42 fof(f1340,plain,(
% 198.28/25.42 spl0_0 <=> hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f1341,plain,(
% 198.28/25.42 hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))|~spl0_0),
% 198.28/25.42 inference(component_clause,[status(thm)],[f1340])).
% 198.28/25.42 fof(f1343,plain,(
% 198.28/25.42 spl0_1 <=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f1345,plain,(
% 198.28/25.42 ~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|spl0_1),
% 198.28/25.42 inference(component_clause,[status(thm)],[f1343])).
% 198.28/25.42 fof(f1346,plain,(
% 198.28/25.42 spl0_2 <=> hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f1349,plain,(
% 198.28/25.42 spl0_3 <=> 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))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f1352,plain,(
% 198.28/25.42 spl0_0|~spl0_1|~spl0_2|spl0_3),
% 198.28/25.42 inference(split_clause,[status(thm)],[f1309,f1340,f1343,f1346,f1349])).
% 198.28/25.42 fof(f1439,plain,(
% 198.28/25.42 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),
% 198.28/25.42 inference(backward_demodulation,[status(thm)],[f834,f1306])).
% 198.28/25.42 fof(f1440,plain,(
% 198.28/25.42 ![X0]: (~hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)))),
% 198.28/25.42 inference(backward_demodulation,[status(thm)],[f834,f1308])).
% 198.28/25.42 fof(f1443,plain,(
% 198.28/25.42 ~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))),
% 198.28/25.42 inference(resolution,[status(thm)],[f1291,f1305])).
% 198.28/25.42 fof(f1677,plain,(
% 198.28/25.42 spl0_6 <=> class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f1679,plain,(
% 198.28/25.42 ~class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool))|spl0_6),
% 198.28/25.42 inference(component_clause,[status(thm)],[f1677])).
% 198.28/25.42 fof(f1735,plain,(
% 198.28/25.42 ![X0]: (~hBOOL(hAPP(c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),c_Event_Oevent_OSays(X0,v_B,v_X))))),
% 198.28/25.42 inference(resolution,[status(thm)],[f1440,f1253])).
% 198.28/25.42 fof(f1779,plain,(
% 198.28/25.42 ![X0,X1,X2]: (~hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))|~hBOOL(c_in(X2,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg))|hBOOL(c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg))|hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)))),
% 198.28/25.42 inference(resolution,[status(thm)],[f866,f923])).
% 198.28/25.42 fof(f2227,plain,(
% 198.28/25.42 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg))),
% 198.28/25.42 inference(backward_demodulation,[status(thm)],[f1067,f1305])).
% 198.28/25.42 fof(f2228,plain,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg))),
% 198.28/25.42 inference(backward_demodulation,[status(thm)],[f1067,f1307])).
% 198.28/25.42 fof(f2917,plain,(
% 198.28/25.42 spl0_50 <=> ~c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f2918,plain,(
% 198.28/25.42 ![X0]: (~c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))|~hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))|~spl0_50)),
% 198.28/25.42 inference(component_clause,[status(thm)],[f2917])).
% 198.28/25.42 fof(f2920,plain,(
% 198.28/25.42 ![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_Xa,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)))),
% 198.28/25.42 inference(resolution,[status(thm)],[f2227,f876])).
% 198.28/25.42 fof(f2921,plain,(
% 198.28/25.42 ~spl0_3|spl0_50),
% 198.28/25.42 inference(split_clause,[status(thm)],[f2920,f1349,f2917])).
% 198.28/25.42 fof(f2947,plain,(
% 198.28/25.42 spl0_55 <=> hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f2949,plain,(
% 198.28/25.42 ~hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))|spl0_55),
% 198.28/25.42 inference(component_clause,[status(thm)],[f2947])).
% 198.28/25.42 fof(f2952,plain,(
% 198.28/25.42 ~hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))|~class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool))|~spl0_50),
% 198.28/25.42 inference(resolution,[status(thm)],[f2918,f789])).
% 198.28/25.42 fof(f2953,plain,(
% 198.28/25.42 ~spl0_55|~spl0_6|~spl0_50),
% 198.28/25.42 inference(split_clause,[status(thm)],[f2952,f2947,f1677,f2917])).
% 198.28/25.42 fof(f2954,plain,(
% 198.28/25.42 $false|spl0_55),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f2949,f1304])).
% 198.28/25.42 fof(f2955,plain,(
% 198.28/25.42 spl0_55),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f2954])).
% 198.28/25.42 fof(f3856,plain,(
% 198.28/25.42 ~class_Orderings_Oorder(tc_bool)|spl0_6),
% 198.28/25.42 inference(resolution,[status(thm)],[f1319,f1679])).
% 198.28/25.42 fof(f3857,plain,(
% 198.28/25.42 $false|spl0_6),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f3856,f1334])).
% 198.28/25.42 fof(f3858,plain,(
% 198.28/25.42 spl0_6),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f3857])).
% 198.28/25.42 fof(f5818,plain,(
% 198.28/25.42 spl0_88 <=> c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa)=c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f5819,plain,(
% 198.28/25.42 c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa)=c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))|~spl0_88),
% 198.28/25.42 inference(component_clause,[status(thm)],[f5818])).
% 198.28/25.42 fof(f6324,plain,(
% 198.28/25.42 ![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)))),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f834,f1263])).
% 198.28/25.42 fof(f6325,plain,(
% 198.28/25.42 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_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),v_X)))))=c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa)),
% 198.28/25.42 inference(resolution,[status(thm)],[f6324,f1439])).
% 198.28/25.42 fof(f6326,plain,(
% 198.28/25.42 spl0_2|spl0_88),
% 198.28/25.42 inference(split_clause,[status(thm)],[f6325,f1346,f5818])).
% 198.28/25.42 fof(f6338,plain,(
% 198.28/25.42 c_Message_Oagent_OSpy=c_Message_Oagent_OServer|~spl0_88),
% 198.28/25.42 inference(resolution,[status(thm)],[f5819,f1192])).
% 198.28/25.42 fof(f6339,plain,(
% 198.28/25.42 $false|~spl0_88),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f6338,f1224])).
% 198.28/25.42 fof(f6340,plain,(
% 198.28/25.42 ~spl0_88),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f6339])).
% 198.28/25.42 fof(f6426,plain,(
% 198.28/25.42 spl0_100 <=> hBOOL(c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f6427,plain,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|~spl0_100),
% 198.28/25.42 inference(component_clause,[status(thm)],[f6426])).
% 198.28/25.42 fof(f21017,plain,(
% 198.28/25.42 ![X0]: (~hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(X0,v_B,v_X))))),
% 198.28/25.42 inference(resolution,[status(thm)],[f724,f1735])).
% 198.28/25.42 fof(f21932,plain,(
% 198.28/25.42 hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(v_x,v_B,v_X)))|~spl0_0),
% 198.28/25.42 inference(resolution,[status(thm)],[f1341,f1255])).
% 198.28/25.42 fof(f21933,plain,(
% 198.28/25.42 $false|~spl0_0),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f21932,f21017])).
% 198.28/25.42 fof(f21934,plain,(
% 198.28/25.42 ~spl0_0),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f21933])).
% 198.28/25.42 fof(f28744,plain,(
% 198.28/25.42 spl0_1095 <=> c_List_Odistinct(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f28746,plain,(
% 198.28/25.42 ~c_List_Odistinct(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)|spl0_1095),
% 198.28/25.42 inference(component_clause,[status(thm)],[f28744])).
% 198.28/25.42 fof(f28752,plain,(
% 198.28/25.42 $false|spl0_1095),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f28746,f581])).
% 198.28/25.42 fof(f28753,plain,(
% 198.28/25.42 spl0_1095),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f28752])).
% 198.28/25.42 fof(f38463,plain,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|~spl0_100),
% 198.28/25.42 inference(resolution,[status(thm)],[f6427,f1177])).
% 198.28/25.42 fof(f38553,plain,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|~spl0_100),
% 198.28/25.42 inference(resolution,[status(thm)],[f38463,f1177])).
% 198.28/25.42 fof(f38568,plain,(
% 198.28/25.42 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))|~spl0_100),
% 198.28/25.42 inference(resolution,[status(thm)],[f38553,f1179])).
% 198.28/25.42 fof(f38569,plain,(
% 198.28/25.42 $false|~spl0_100),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f38568,f1443])).
% 198.28/25.42 fof(f38570,plain,(
% 198.28/25.42 ~spl0_100),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f38569])).
% 198.28/25.42 fof(f60296,plain,(
% 198.28/25.42 spl0_3555 <=> hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(X0,v_B,v_X)))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f60297,plain,(
% 198.28/25.42 ![X0]: (hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(X0,v_B,v_X)))|~spl0_3555)),
% 198.28/25.42 inference(component_clause,[status(thm)],[f60296])).
% 198.28/25.42 fof(f60310,plain,(
% 198.28/25.42 $false|~spl0_3555),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f60297,f21017])).
% 198.28/25.42 fof(f60311,plain,(
% 198.28/25.42 ~spl0_3555),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f60310])).
% 198.28/25.42 fof(f68994,plain,(
% 198.28/25.42 c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),
% 198.28/25.42 inference(resolution,[status(thm)],[f930,f2228])).
% 198.28/25.42 fof(f69008,plain,(
% 198.28/25.42 ![X0,X1]: (c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg)=c_Message_Osynth(X1))),
% 198.28/25.42 inference(resolution,[status(thm)],[f930,f1269])).
% 198.28/25.42 fof(f69079,plain,(
% 198.28/25.42 c_Set_Oinsert(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)=c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),
% 198.28/25.42 inference(resolution,[status(thm)],[f930,f1304])).
% 198.28/25.42 fof(f70473,plain,(
% 198.28/25.42 spl0_4371 <=> hBOOL(c_in(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f70475,plain,(
% 198.28/25.42 ~hBOOL(c_in(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))|spl0_4371),
% 198.28/25.42 inference(component_clause,[status(thm)],[f70473])).
% 198.28/25.42 fof(f70490,plain,(
% 198.28/25.42 spl0_4373 <=> hBOOL(c_in(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f70492,plain,(
% 198.28/25.42 ~hBOOL(c_in(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))|spl0_4373),
% 198.28/25.42 inference(component_clause,[status(thm)],[f70490])).
% 198.28/25.42 fof(f70533,plain,(
% 198.28/25.42 $false|spl0_4373),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f70492,f1269])).
% 198.28/25.42 fof(f70534,plain,(
% 198.28/25.42 spl0_4373),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f70533])).
% 198.28/25.42 fof(f70535,plain,(
% 198.28/25.42 ~hBOOL(c_in(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))|spl0_4371),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f1212,f70475])).
% 198.28/25.42 fof(f70536,plain,(
% 198.28/25.42 $false|spl0_4371),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f70535,f1269])).
% 198.28/25.42 fof(f70537,plain,(
% 198.28/25.42 spl0_4371),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f70536])).
% 198.28/25.42 fof(f70835,plain,(
% 198.28/25.42 spl0_4399 <=> hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f70837,plain,(
% 198.28/25.42 ~hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))|spl0_4399),
% 198.28/25.42 inference(component_clause,[status(thm)],[f70835])).
% 198.28/25.42 fof(f70877,plain,(
% 198.28/25.42 ~hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))|spl0_4399),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f1284,f70837])).
% 198.28/25.42 fof(f70878,plain,(
% 198.28/25.42 $false|spl0_4399),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f70877,f1304])).
% 198.28/25.42 fof(f70879,plain,(
% 198.28/25.42 spl0_4399),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f70878])).
% 198.28/25.42 fof(f70984,plain,(
% 198.28/25.42 spl0_4411 <=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f70986,plain,(
% 198.28/25.42 ~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg))|spl0_4411),
% 198.28/25.42 inference(component_clause,[status(thm)],[f70984])).
% 198.28/25.42 fof(f71073,plain,(
% 198.28/25.42 spl0_4421 <=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f71075,plain,(
% 198.28/25.42 ~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg))|spl0_4421),
% 198.28/25.42 inference(component_clause,[status(thm)],[f71073])).
% 198.28/25.42 fof(f71105,plain,(
% 198.28/25.42 ~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg))|spl0_4421),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f1210,f71075])).
% 198.28/25.42 fof(f71106,plain,(
% 198.28/25.42 $false|spl0_4421),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f71105,f2228])).
% 198.28/25.42 fof(f71107,plain,(
% 198.28/25.42 spl0_4421),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f71106])).
% 198.28/25.42 fof(f71111,plain,(
% 198.28/25.42 ~hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg))|spl0_4411),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f1212,f70986])).
% 198.28/25.42 fof(f71112,plain,(
% 198.28/25.42 $false|spl0_4411),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f71111,f2228])).
% 198.28/25.42 fof(f71113,plain,(
% 198.28/25.42 spl0_4411),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f71112])).
% 198.28/25.42 fof(f71438,plain,(
% 198.28/25.42 spl0_4437 <=> hBOOL(c_in(v_X,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f71440,plain,(
% 198.28/25.42 ~hBOOL(c_in(v_X,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))|spl0_4437),
% 198.28/25.42 inference(component_clause,[status(thm)],[f71438])).
% 198.28/25.42 fof(f71466,plain,(
% 198.28/25.42 $false|spl0_4437),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f71440,f924])).
% 198.28/25.42 fof(f71467,plain,(
% 198.28/25.42 spl0_4437),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f71466])).
% 198.28/25.42 fof(f73566,plain,(
% 198.28/25.42 spl0_4493 <=> c_lessequals(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(v_Xa,c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73568,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(v_Xa,c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4493),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73566])).
% 198.28/25.42 fof(f73574,plain,(
% 198.28/25.42 spl0_4495 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73576,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4495),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73574])).
% 198.28/25.42 fof(f73582,plain,(
% 198.28/25.42 spl0_4497 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73584,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4497),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73582])).
% 198.28/25.42 fof(f73594,plain,(
% 198.28/25.42 spl0_4499 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(v_NA,c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73596,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(v_NA,c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4499),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73594])).
% 198.28/25.42 fof(f73606,plain,(
% 198.28/25.42 spl0_4501 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(v_X,c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73608,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(v_X,c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4501),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73606])).
% 198.28/25.42 fof(f73622,plain,(
% 198.28/25.42 spl0_4503 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73624,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4503),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73622])).
% 198.28/25.42 fof(f73639,plain,(
% 198.28/25.42 spl0_4505 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73641,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4505),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73639])).
% 198.28/25.42 fof(f73653,plain,(
% 198.28/25.42 spl0_4507 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73655,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4507),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73653])).
% 198.28/25.42 fof(f73661,plain,(
% 198.28/25.42 spl0_4509 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f73663,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4509),
% 198.28/25.42 inference(component_clause,[status(thm)],[f73661])).
% 198.28/25.42 fof(f73700,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4495),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f69008,f73576])).
% 198.28/25.42 fof(f73701,plain,(
% 198.28/25.42 $false|spl0_4495),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73700,f782])).
% 198.28/25.42 fof(f73702,plain,(
% 198.28/25.42 spl0_4495),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73701])).
% 198.28/25.42 fof(f73703,plain,(
% 198.28/25.42 $false|spl0_4507),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73655,f616])).
% 198.28/25.42 fof(f73704,plain,(
% 198.28/25.42 spl0_4507),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73703])).
% 198.28/25.42 fof(f73705,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4497),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f69008,f73584])).
% 198.28/25.42 fof(f73706,plain,(
% 198.28/25.42 $false|spl0_4497),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73705,f782])).
% 198.28/25.42 fof(f73707,plain,(
% 198.28/25.42 spl0_4497),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73706])).
% 198.28/25.42 fof(f73708,plain,(
% 198.28/25.42 $false|spl0_4499),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73596,f616])).
% 198.28/25.42 fof(f73709,plain,(
% 198.28/25.42 spl0_4499),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73708])).
% 198.28/25.42 fof(f73710,plain,(
% 198.28/25.42 $false|spl0_4501),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73608,f616])).
% 198.28/25.42 fof(f73711,plain,(
% 198.28/25.42 spl0_4501),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73710])).
% 198.28/25.42 fof(f73712,plain,(
% 198.28/25.42 $false|spl0_4503),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73624,f616])).
% 198.28/25.42 fof(f73713,plain,(
% 198.28/25.42 spl0_4503),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73712])).
% 198.28/25.42 fof(f73714,plain,(
% 198.28/25.42 $false|spl0_4509),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73663,f616])).
% 198.28/25.42 fof(f73715,plain,(
% 198.28/25.42 spl0_4509),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73714])).
% 198.28/25.42 fof(f73716,plain,(
% 198.28/25.42 $false|spl0_4505),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73641,f616])).
% 198.28/25.42 fof(f73717,plain,(
% 198.28/25.42 spl0_4505),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73716])).
% 198.28/25.42 fof(f73718,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(v_Xa,c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4493),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f1284,f73568])).
% 198.28/25.42 fof(f73719,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4493),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f1284,f73718])).
% 198.28/25.42 fof(f73720,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4493),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f69079,f73719])).
% 198.28/25.42 fof(f73721,plain,(
% 198.28/25.42 $false|spl0_4493),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f73720,f782])).
% 198.28/25.42 fof(f73722,plain,(
% 198.28/25.42 spl0_4493),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f73721])).
% 198.28/25.42 fof(f76411,plain,(
% 198.28/25.42 spl0_4594 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f76413,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4594),
% 198.28/25.42 inference(component_clause,[status(thm)],[f76411])).
% 198.28/25.42 fof(f76534,plain,(
% 198.28/25.42 $false|spl0_4594),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f76413,f616])).
% 198.28/25.42 fof(f76535,plain,(
% 198.28/25.42 spl0_4594),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f76534])).
% 198.28/25.42 fof(f77140,plain,(
% 198.28/25.42 spl0_4618 <=> c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),c_Set_Oinsert(v_X,c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f77142,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),c_Set_Oinsert(v_X,c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4618),
% 198.28/25.42 inference(component_clause,[status(thm)],[f77140])).
% 198.28/25.42 fof(f77278,plain,(
% 198.28/25.42 $false|spl0_4618),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f77142,f616])).
% 198.28/25.42 fof(f77279,plain,(
% 198.28/25.42 spl0_4618),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f77278])).
% 198.28/25.42 fof(f78073,plain,(
% 198.28/25.42 spl0_4633 <=> c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f78075,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(v_Xa,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4633),
% 198.28/25.42 inference(component_clause,[status(thm)],[f78073])).
% 198.28/25.42 fof(f78100,plain,(
% 198.28/25.42 spl0_4639 <=> c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(v_NA,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f78102,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(v_NA,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4639),
% 198.28/25.42 inference(component_clause,[status(thm)],[f78100])).
% 198.28/25.42 fof(f78170,plain,(
% 198.28/25.42 spl0_4649 <=> c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f78172,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4649),
% 198.28/25.42 inference(component_clause,[status(thm)],[f78170])).
% 198.28/25.42 fof(f78190,plain,(
% 198.28/25.42 spl0_4653 <=> c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f78192,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4653),
% 198.28/25.42 inference(component_clause,[status(thm)],[f78190])).
% 198.28/25.42 fof(f78216,plain,(
% 198.28/25.42 spl0_4657 <=> c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f78218,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4657),
% 198.28/25.42 inference(component_clause,[status(thm)],[f78216])).
% 198.28/25.42 fof(f78232,plain,(
% 198.28/25.42 spl0_4661 <=> c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f78234,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4661),
% 198.28/25.42 inference(component_clause,[status(thm)],[f78232])).
% 198.28/25.42 fof(f78407,plain,(
% 198.28/25.42 $false|spl0_4661),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f78234,f616])).
% 198.28/25.42 fof(f78408,plain,(
% 198.28/25.42 spl0_4661),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f78407])).
% 198.28/25.42 fof(f78409,plain,(
% 198.28/25.42 $false|spl0_4649),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f78172,f616])).
% 198.28/25.42 fof(f78410,plain,(
% 198.28/25.42 spl0_4649),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f78409])).
% 198.28/25.42 fof(f78419,plain,(
% 198.28/25.42 $false|spl0_4639),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f78102,f616])).
% 198.28/25.42 fof(f78420,plain,(
% 198.28/25.42 spl0_4639),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f78419])).
% 198.28/25.42 fof(f78421,plain,(
% 198.28/25.42 $false|spl0_4657),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f78218,f616])).
% 198.28/25.42 fof(f78422,plain,(
% 198.28/25.42 spl0_4657),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f78421])).
% 198.28/25.42 fof(f78475,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4653),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f1210,f78192])).
% 198.28/25.42 fof(f78476,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4653),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f1210,f78475])).
% 198.28/25.42 fof(f78477,plain,(
% 198.28/25.42 ~c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))|spl0_4653),
% 198.28/25.42 inference(forward_demodulation,[status(thm)],[f68994,f78476])).
% 198.28/25.42 fof(f78478,plain,(
% 198.28/25.42 $false|spl0_4653),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f78477,f782])).
% 198.28/25.42 fof(f78479,plain,(
% 198.28/25.42 spl0_4653),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f78478])).
% 198.28/25.42 fof(f78480,plain,(
% 198.28/25.42 $false|spl0_4633),
% 198.28/25.42 inference(forward_subsumption_resolution,[status(thm)],[f78075,f616])).
% 198.28/25.42 fof(f78481,plain,(
% 198.28/25.42 spl0_4633),
% 198.28/25.42 inference(contradiction_clause,[status(thm)],[f78480])).
% 198.28/25.42 fof(f78573,plain,(
% 198.28/25.42 spl0_4685 <=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f78574,plain,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))|~spl0_4685),
% 198.28/25.42 inference(component_clause,[status(thm)],[f78573])).
% 198.28/25.42 fof(f78576,plain,(
% 198.28/25.42 ~hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 198.28/25.42 inference(resolution,[status(thm)],[f1779,f2228])).
% 198.28/25.42 fof(f78577,plain,(
% 198.28/25.42 ~spl0_55|spl0_1|spl0_4685),
% 198.28/25.42 inference(split_clause,[status(thm)],[f78576,f2947,f1343,f78573])).
% 198.28/25.42 fof(f79469,plain,(
% 198.28/25.42 spl0_4691 <=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))),
% 198.28/25.42 introduced(split_symbol_definition)).
% 198.28/25.42 fof(f79470,plain,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|~spl0_4691),
% 198.28/25.42 inference(component_clause,[status(thm)],[f79469])).
% 198.28/25.42 fof(f79474,plain,(
% 198.28/25.42 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|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))|~spl0_4685),
% 200.02/25.58 inference(resolution,[status(thm)],[f78574,f1281])).
% 200.02/25.58 fof(f79475,plain,(
% 200.02/25.58 spl0_4691|spl0_3|~spl0_4685),
% 200.02/25.58 inference(split_clause,[status(thm)],[f79474,f79469,f1349,f78573])).
% 200.02/25.58 fof(f79499,plain,(
% 200.02/25.58 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))|~spl0_4691),
% 200.02/25.58 inference(resolution,[status(thm)],[f79470,f1300])).
% 200.02/25.58 fof(f79500,plain,(
% 200.02/25.58 $false|spl0_1|~spl0_4691),
% 200.02/25.58 inference(forward_subsumption_resolution,[status(thm)],[f79499,f1345])).
% 200.02/25.58 fof(f79501,plain,(
% 200.02/25.58 spl0_1|~spl0_4691),
% 200.02/25.58 inference(contradiction_clause,[status(thm)],[f79500])).
% 200.02/25.58 fof(f79502,plain,(
% 200.02/25.58 $false),
% 200.02/25.58 inference(sat_refutation,[status(thm)],[f1352,f2921,f2953,f2955,f3858,f6326,f6340,f21934,f28753,f38570,f60311,f70534,f70537,f70879,f71107,f71113,f71467,f73702,f73704,f73707,f73709,f73711,f73713,f73715,f73717,f73722,f76535,f77279,f78408,f78410,f78420,f78422,f78479,f78481,f78577,f79475,f79501])).
% 200.02/25.58 % SZS output end CNFRefutation for theBenchmark.p
% 205.83/26.85 % Elapsed time: 26.302019 seconds
% 205.83/26.85 % CPU time: 174.732594 seconds
% 205.83/26.85 % Memory used: 1.615 GB
%------------------------------------------------------------------------------