TSTP Solution File: SWV296-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV296-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 : Fri May  3 03:14:01 EDT 2024

% Result   : Unsatisfiable 4.10s 1.15s
% Output   : CNFRefutation 4.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   24
% Syntax   : Number of clauses     :  115 (  33 unt;  43 nHn; 115 RR)
%            Number of literals    :  257 ( 129 equ;  87 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   33 (  33 usr;  18 con; 0-3 aty)
%            Number of variables   :   68 (  28 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

cnf(c_50,plain,
    ( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

cnf(c_51,plain,
    ( ~ 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

cnf(c_52,plain,
    ( ~ 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

cnf(c_53,plain,
    ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
    | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(c_54,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

cnf(c_55,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,X2),X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

cnf(c_56,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OAgent(X0))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(X4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).

cnf(c_57,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | X2 = X4
    | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ounique__NA__dest_0) ).

cnf(c_58,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)
    | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OMPair__used_0) ).

cnf(c_59,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_60,negated_conjecture,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_61,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_A = v_Ba
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_15) ).

cnf(c_62,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_17) ).

cnf(c_63,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_64,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_65,negated_conjecture,
    ( ~ c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | 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_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_37) ).

cnf(c_66,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_67,negated_conjecture,
    ( v_K = v_KAB
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_68,negated_conjecture,
    ( ~ 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(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | v_K = v_KAB ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_69,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) != v_NA
    | c_Message_Omsg_ONonce(v_NB) != X0
    | c_Message_Omsg_ONonce(v_NB) != X1
    | v_A != v_Aa
    | v_K != v_KAB
    | v_Ba != v_B
    | v_A = v_Ba ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_68) ).

cnf(c_70,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) != v_NA
    | c_Message_Omsg_ONonce(v_NB) != X0
    | c_Message_Omsg_ONonce(v_NB) != X1
    | v_A != v_Aa
    | v_K != v_KAB
    | v_Ba != v_B
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_69) ).

cnf(c_71,negated_conjecture,
    ( v_A = v_Ba
    | v_A = v_Aa
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(c_72,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_A = v_Aa
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(c_73,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) != v_NA
    | v_A != v_Aa
    | v_K != v_KAB
    | v_Ba != v_B
    | v_A = v_Ba ),
    inference(unflattening,[status(thm)],[c_69]) ).

cnf(c_74,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) != v_NA
    | v_A != v_Aa
    | v_K != v_KAB
    | v_Ba != v_B
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    inference(unflattening,[status(thm)],[c_70]) ).

cnf(c_85,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | 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_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_66,c_65]) ).

cnf(c_822,plain,
    ( v_K = v_KAB
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_67,c_54]) ).

cnf(c_834,plain,
    ( v_A = v_Ba
    | v_A = v_Aa
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_71,c_54]) ).

cnf(c_842,plain,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_A = v_Aa
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_72,c_54]) ).

cnf(c_850,plain,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_A = v_Ba
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_61,c_54]) ).

cnf(c_858,plain,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_62,c_54]) ).

cnf(c_886,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_55,c_49]) ).

cnf(c_897,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | v_K = v_KAB ),
    inference(superposition,[status(thm)],[c_85,c_68]) ).

cnf(c_916,plain,
    v_K = v_KAB,
    inference(global_subsumption_just,[status(thm)],[c_822,c_67,c_897]) ).

cnf(c_918,plain,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_916,c_63]) ).

cnf(c_925,plain,
    ( v_A = v_Ba
    | v_A = v_Aa
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_834,c_50]) ).

cnf(c_938,plain,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_A = v_Aa
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_842,c_50]) ).

cnf(c_951,plain,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_A = v_Ba
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_850,c_50]) ).

cnf(c_964,plain,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_858,c_50]) ).

cnf(c_977,plain,
    ( ~ c_in(v_evs3,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(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_64,c_886]) ).

cnf(c_990,plain,
    ( v_A = v_Ba
    | v_A = v_Aa
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_925,c_58]) ).

cnf(c_997,plain,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_A = v_Aa
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_938,c_58]) ).

cnf(c_1004,plain,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_A = v_Ba
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_951,c_58]) ).

cnf(c_1011,plain,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_964,c_58]) ).

cnf(c_1031,plain,
    ( v_A = v_Aa
    | v_A = v_Ba ),
    inference(global_subsumption_just,[status(thm)],[c_990,c_918,c_990]) ).

cnf(c_1032,plain,
    ( v_A = v_Ba
    | v_A = v_Aa ),
    inference(renaming,[status(thm)],[c_1031]) ).

cnf(c_1037,plain,
    ( c_Message_Omsg_ONonce(v_NAa) != v_NA
    | v_K != v_KAB
    | v_Ba != v_B
    | v_A = v_Ba ),
    inference(backward_subsumption_resolution,[status(thm)],[c_73,c_1032]) ).

cnf(c_1040,plain,
    ( v_A = v_Aa
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    inference(global_subsumption_just,[status(thm)],[c_997,c_918,c_997]) ).

cnf(c_1041,plain,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_A = v_Aa ),
    inference(renaming,[status(thm)],[c_1040]) ).

cnf(c_1046,plain,
    ( c_Message_Omsg_ONonce(v_NAa) != v_NA
    | v_K != v_KAB
    | v_Ba != v_B
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    inference(backward_subsumption_resolution,[status(thm)],[c_74,c_1041]) ).

cnf(c_1065,plain,
    ( v_Ba != v_B
    | v_A = v_Ba ),
    inference(global_subsumption_just,[status(thm)],[c_1037,c_67,c_897,c_918,c_1004,c_1037]) ).

cnf(c_1090,plain,
    ( v_Ba != v_B
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    inference(global_subsumption_just,[status(thm)],[c_1046,c_67,c_74,c_897,c_918,c_997,c_1011]) ).

cnf(c_1237,plain,
    ( v_A = v_Aa
    | v_A = v_Ba ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_918,c_990]) ).

cnf(c_1238,negated_conjecture,
    ( v_A = v_Ba
    | v_A = v_Aa ),
    inference(renaming,[status(thm)],[c_1237]) ).

cnf(c_1243,plain,
    ( v_A = v_Aa
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_918,c_997]) ).

cnf(c_1244,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_A = v_Aa ),
    inference(renaming,[status(thm)],[c_1243]) ).

cnf(c_1249,plain,
    ( v_A = v_Ba
    | c_Message_Omsg_ONonce(v_NAa) = v_NA ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_918,c_1004]) ).

cnf(c_1250,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_A = v_Ba ),
    inference(renaming,[status(thm)],[c_1249]) ).

cnf(c_1255,plain,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_Message_Omsg_ONonce(v_NAa) = v_NA ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_918,c_1011]) ).

cnf(c_1256,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    inference(renaming,[status(thm)],[c_1255]) ).

cnf(c_1267,negated_conjecture,
    ( v_Ba != v_B
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_1090]) ).

cnf(c_1273,plain,
    c_in(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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_66,c_49]) ).

cnf(c_1280,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_55,c_49]) ).

cnf(c_1315,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1273,c_51]) ).

cnf(c_1324,plain,
    ( ~ c_in(v_evs3,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(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_64,c_1280]) ).

cnf(c_1378,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1315,c_51]) ).

cnf(c_1411,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(global_subsumption_just,[status(thm)],[c_1324,c_60,c_977]) ).

cnf(c_1422,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1411,c_51]) ).

cnf(c_1514,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1378,c_51]) ).

cnf(c_1550,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1422,c_51]) ).

cnf(c_1687,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1514,c_53]) ).

cnf(c_1712,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1550,c_51]) ).

cnf(c_1864,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | X0 = v_B
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_1687,c_57]) ).

cnf(c_1878,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1712,c_51]) ).

cnf(c_1879,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1712,c_52]) ).

cnf(c_2085,plain,
    ( X0 = v_B
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(global_subsumption_just,[status(thm)],[c_1864,c_60,c_59,c_1864]) ).

cnf(c_2086,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | X0 = v_B ),
    inference(renaming,[status(thm)],[c_2085]) ).

cnf(c_2099,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1879,c_53]) ).

cnf(c_2118,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1878,c_53]) ).

cnf(c_2298,plain,
    ( v_A = v_Ba
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_1250,c_2099]) ).

cnf(c_2302,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | X0 = v_Ba
    | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_2099,c_57]) ).

cnf(c_2336,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_2118,c_56]) ).

cnf(c_2567,plain,
    ( v_A = v_Ba
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_1238,c_2298]) ).

cnf(c_2571,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | X0 = v_Ba
    | v_A = v_Ba
    | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_2298,c_57]) ).

cnf(c_2582,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | X0 = v_Ba
    | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
    inference(global_subsumption_just,[status(thm)],[c_2302,c_60,c_2302]) ).

cnf(c_2661,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
    inference(global_subsumption_just,[status(thm)],[c_2336,c_60,c_2336]) ).

cnf(c_2668,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_Message_Omsg_ONonce(v_NAa) = v_NA
    | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_1256,c_2661]) ).

cnf(c_2669,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | v_A = v_Aa
    | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_1244,c_2661]) ).

cnf(c_2825,plain,
    ( v_A = v_Ba
    | v_Ba = v_B ),
    inference(superposition,[status(thm)],[c_2567,c_2086]) ).

cnf(c_2827,plain,
    v_A = v_Ba,
    inference(global_subsumption_just,[status(thm)],[c_2571,c_1065,c_2825]) ).

cnf(c_2832,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_2827,c_2661]) ).

cnf(c_2846,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_2827,c_2118]) ).

cnf(c_2858,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_2827,c_1879]) ).

cnf(c_2940,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | v_A = v_Aa
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(light_normalisation,[status(thm)],[c_2669,c_2827]) ).

cnf(c_2944,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | v_A = v_Aa ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2940,c_59]) ).

cnf(c_2949,plain,
    v_A = v_Aa,
    inference(superposition,[status(thm)],[c_1687,c_2944]) ).

cnf(c_2958,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | X0 = v_Ba
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(demodulation,[status(thm)],[c_2582,c_2949]) ).

cnf(c_2998,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_Message_Omsg_ONonce(v_NAa) = v_NA
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(light_normalisation,[status(thm)],[c_2668,c_2827]) ).

cnf(c_3002,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_Message_Omsg_ONonce(v_NAa) = v_NA ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2998,c_59]) ).

cnf(c_3007,plain,
    c_Message_Omsg_ONonce(v_NAa) = v_NA,
    inference(superposition,[status(thm)],[c_1687,c_3002]) ).

cnf(c_3026,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_2846,c_56]) ).

cnf(c_3028,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(global_subsumption_just,[status(thm)],[c_2832,c_60,c_59,c_3026]) ).

cnf(c_3072,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_2949,c_2858]) ).

cnf(c_3087,plain,
    ( X0 = v_Ba
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(global_subsumption_just,[status(thm)],[c_2958,c_59,c_2958]) ).

cnf(c_3088,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | X0 = v_Ba ),
    inference(renaming,[status(thm)],[c_3087]) ).

cnf(c_3092,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | X0 = v_A ),
    inference(light_normalisation,[status(thm)],[c_3088,c_2827]) ).

cnf(c_3110,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | X0 = v_A ),
    inference(superposition,[status(thm)],[c_3007,c_3092]) ).

cnf(c_3155,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(light_normalisation,[status(thm)],[c_3072,c_3007]) ).

cnf(c_3156,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_3155,c_53]) ).

cnf(c_3208,plain,
    v_A = v_B,
    inference(superposition,[status(thm)],[c_1687,c_3110]) ).

cnf(c_3238,plain,
    ( v_A != v_Ba
    | c_Message_Omsg_ONonce(v_NB) = v_NA ),
    inference(demodulation,[status(thm)],[c_1267,c_3208]) ).

cnf(c_3264,plain,
    c_Message_Omsg_ONonce(v_NB) = v_NA,
    inference(global_subsumption_just,[status(thm)],[c_3238,c_1065,c_2825,c_3238]) ).

cnf(c_3300,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_3264,c_3028]) ).

cnf(c_3306,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_3156,c_3300]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV296-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May  3 00:39:01 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.10/1.15  % SZS status Started for theBenchmark.p
% 4.10/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.15  
% 4.10/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.10/1.15  
% 4.10/1.15  ------  iProver source info
% 4.10/1.15  
% 4.10/1.15  git: date: 2024-05-02 19:28:25 +0000
% 4.10/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.10/1.15  git: non_committed_changes: false
% 4.10/1.15  
% 4.10/1.15  ------ Parsing...successful
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.10/1.15  
% 4.10/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.10/1.15  
% 4.10/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.10/1.15  ------ Proving...
% 4.10/1.15  ------ Problem Properties 
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  clauses                                 24
% 4.10/1.15  conjectures                             14
% 4.10/1.15  EPR                                     1
% 4.10/1.15  Horn                                    18
% 4.10/1.15  unary                                   5
% 4.10/1.15  binary                                  10
% 4.10/1.15  lits                                    59
% 4.10/1.15  lits eq                                 21
% 4.10/1.15  fd_pure                                 0
% 4.10/1.15  fd_pseudo                               0
% 4.10/1.15  fd_cond                                 0
% 4.10/1.15  fd_pseudo_cond                          1
% 4.10/1.15  AC symbols                              0
% 4.10/1.15  
% 4.10/1.15  ------ Input Options Time Limit: Unbounded
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  ------ 
% 4.10/1.15  Current options:
% 4.10/1.15  ------ 
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  ------ Proving...
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  ------ Proving...
% 4.10/1.15  
% 4.10/1.15  
% 4.10/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.15  
% 4.10/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.15  
% 4.10/1.16  
%------------------------------------------------------------------------------