TSTP Solution File: SWV296-2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV296-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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 : Thu Aug 31 21:37:39 EDT 2023

% Result   : Unsatisfiable 0.50s 0.59s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  143 (  30 unt;  34 typ;   0 def)
%            Number of atoms       :  255 ( 126 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  238 (  92   ~; 146   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  16   >;  11   *;   0   +;   0  <<)
%            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   :   89 (  33 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).

tff(decl_23,type,
    tc_Event_Oevent: $i ).

tff(decl_24,type,
    c_List_Oset: ( $i * $i ) > $i ).

tff(decl_25,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(decl_26,type,
    c_Message_Oagent_OSpy: $i ).

tff(decl_27,type,
    c_Event_Oknows: ( $i * $i ) > $i ).

tff(decl_28,type,
    c_Message_Oanalz: $i > $i ).

tff(decl_29,type,
    tc_Message_Omsg: $i ).

tff(decl_30,type,
    c_Message_Oparts: $i > $i ).

tff(decl_31,type,
    c_Event_Oused: $i > $i ).

tff(decl_32,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

tff(decl_33,type,
    c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).

tff(decl_34,type,
    c_OtwayRees_Ootway: $i ).

tff(decl_35,type,
    tc_List_Olist: $i > $i ).

tff(decl_36,type,
    c_Event_Oevent_OGets: ( $i * $i ) > $i ).

tff(decl_37,type,
    v_sko__usf: ( $i * $i * $i ) > $i ).

tff(decl_38,type,
    c_Public_OshrK: $i > $i ).

tff(decl_39,type,
    c_Message_Omsg_OAgent: $i > $i ).

tff(decl_40,type,
    c_Event_Obad: $i ).

tff(decl_41,type,
    tc_Message_Oagent: $i ).

tff(decl_42,type,
    v_A: $i ).

tff(decl_43,type,
    v_evs3: $i ).

tff(decl_44,type,
    v_NA: $i ).

tff(decl_45,type,
    v_K: $i ).

tff(decl_46,type,
    c_Message_Omsg_OKey: $i > $i ).

tff(decl_47,type,
    v_Ba: $i ).

tff(decl_48,type,
    v_NAa: $i ).

tff(decl_49,type,
    c_Message_Omsg_ONonce: $i > $i ).

tff(decl_50,type,
    v_NB: $i ).

tff(decl_51,type,
    v_KAB: $i ).

tff(decl_52,type,
    c_Message_Oagent_OServer: $i ).

tff(decl_53,type,
    v_Aa: $i ).

tff(decl_54,type,
    v_B: $i ).

tff(decl_55,type,
    v_x: $i ).

cnf(cls_Message_Oparts_OBody__dest_0,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

cnf(cls_conjecture_15,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)
    | v_A = v_Ba
    | v_NA = c_Message_Omsg_ONonce(v_NAa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_15) ).

cnf(cls_conjecture_37,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(v_x,c_Message_Omsg_OKey(v_K)))))),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(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/sandbox/benchmark/theBenchmark.p',cls_conjecture_37) ).

cnf(cls_conjecture_4,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/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(cls_conjecture_6,negated_conjecture,
    ( v_K = v_KAB
    | ~ 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(X1,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_conjecture_5,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)
    | v_K = v_KAB ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_Public_OMPair__used_0,axiom,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_0) ).

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

cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

cnf(cls_conjecture_3,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

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

cnf(cls_Message_OMPair__analz_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

cnf(cls_conjecture_7,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)
    | v_A = v_Ba
    | v_A = v_Aa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_Message_OMPair__analz_1,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_OtwayRees_Ounique__NA__dest_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | X5 = X4
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Ounique__NA__dest_0) ).

cnf(cls_conjecture_68,negated_conjecture,
    ( v_A = v_Ba
    | X1 != c_Message_Omsg_ONonce(v_NB)
    | v_K != v_KAB
    | v_A != v_Aa
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | X2 != c_Message_Omsg_ONonce(v_NB)
    | v_B != v_Ba ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_68) ).

cnf(cls_conjecture_17,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)
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | v_NA = c_Message_Omsg_ONonce(v_NAa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_17) ).

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

cnf(cls_conjecture_9,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)
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | v_A = v_Aa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(cls_conjecture_69,negated_conjecture,
    ( v_NA = c_Message_Omsg_ONonce(v_NB)
    | X1 != c_Message_Omsg_ONonce(v_NB)
    | v_K != v_KAB
    | v_A != v_Aa
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | X2 != c_Message_Omsg_ONonce(v_NB)
    | v_B != v_Ba ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_69) ).

cnf(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).

cnf(c_0_24,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    cls_Message_Oparts_OBody__dest_0 ).

cnf(c_0_25,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)
    | v_A = v_Ba
    | v_NA = c_Message_Omsg_ONonce(v_NAa) ),
    cls_conjecture_15 ).

cnf(c_0_26,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(v_x,c_Message_Omsg_OKey(v_K)))))),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(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) ),
    cls_conjecture_37 ).

cnf(c_0_27,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),
    cls_conjecture_4 ).

cnf(c_0_28,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 ).

cnf(c_0_29,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_Ba = v_A
    | 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(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( v_K = v_KAB
    | ~ 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(X1,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_conjecture_6 ).

cnf(c_0_31,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(v_x,c_Message_Omsg_OKey(v_K)))))),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) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_32,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)
    | v_K = v_KAB ),
    cls_conjecture_5 ).

cnf(c_0_33,axiom,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    cls_Public_OMPair__used_0 ).

cnf(c_0_34,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_Ba = v_A
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_36,negated_conjecture,
    v_KAB = v_K,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_Ba = v_A
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Event_OSays__imp__analz__Spy__dest_0 ).

cnf(c_0_40,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_OtwayRees_OGets__imp__Says__dest_0 ).

cnf(c_0_41,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),
    cls_conjecture_3 ).

cnf(c_0_42,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NAa) = v_NA
    | v_Ba = v_A ),
    inference(sr,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    ( v_Ba = v_A
    | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,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(v_NA,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(v_NA,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) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,negated_conjecture,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_1 ).

cnf(c_0_46,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_0 ).

cnf(c_0_47,negated_conjecture,
    ( v_Ba = v_A
    | c_in(c_Message_Omsg_OMPair(v_NA,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(v_NA,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(v_NA,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_48,negated_conjecture,
    ( v_Ba = v_A
    | 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(v_NA,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(v_NA,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(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_49,negated_conjecture,
    ( v_Ba = v_A
    | 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(v_NA,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(v_NA,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(spm,[status(thm)],[c_0_46,c_0_48]) ).

cnf(c_0_50,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)
    | v_A = v_Ba
    | v_A = v_Aa ),
    cls_conjecture_7 ).

cnf(c_0_51,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_1 ).

cnf(c_0_52,negated_conjecture,
    ( v_Ba = v_A
    | c_in(c_Message_Omsg_OMPair(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_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,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(spm,[status(thm)],[c_0_46,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ( v_Aa = v_A
    | v_Ba = v_A
    | 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(spm,[status(thm)],[c_0_24,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    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(spm,[status(thm)],[c_0_39,c_0_27]) ).

cnf(c_0_55,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_Oanalz__into__parts__dest_0 ).

cnf(c_0_56,negated_conjecture,
    ( v_Ba = v_A
    | 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    ( v_Ba = v_A
    | v_Aa = v_A
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_28,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    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(spm,[status(thm)],[c_0_46,c_0_54]) ).

cnf(c_0_59,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | X5 = X4
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_OtwayRees_Ounique__NA__dest_0 ).

cnf(c_0_60,negated_conjecture,
    ( v_Ba = v_A
    | 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(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( v_Aa = v_A
    | v_Ba = v_A
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_33,c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    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(spm,[status(thm)],[c_0_46,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ( v_A = v_Ba
    | X1 != c_Message_Omsg_ONonce(v_NB)
    | v_K != v_KAB
    | v_A != v_Aa
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | X2 != c_Message_Omsg_ONonce(v_NB)
    | v_B != v_Ba ),
    cls_conjecture_68 ).

cnf(c_0_64,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)
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | v_NA = c_Message_Omsg_ONonce(v_NAa) ),
    cls_conjecture_17 ).

cnf(c_0_65,negated_conjecture,
    ( v_Ba = v_A
    | X1 = v_Ba
    | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
    | ~ 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(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_45])]) ).

cnf(c_0_66,negated_conjecture,
    ( v_Ba = v_A
    | v_Aa = v_A ),
    inference(sr,[status(thm)],[c_0_61,c_0_38]) ).

cnf(c_0_67,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_0 ).

cnf(c_0_68,negated_conjecture,
    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(spm,[status(thm)],[c_0_46,c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    ( v_Ba = v_A
    | c_Message_Omsg_ONonce(v_NAa) != v_NA
    | v_KAB != v_K
    | v_Aa != v_A
    | v_Ba != v_B ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_63])]) ).

cnf(c_0_70,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_Message_Omsg_ONonce(v_NAa) = 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(spm,[status(thm)],[c_0_24,c_0_64]) ).

cnf(c_0_71,negated_conjecture,
    ( v_Ba = v_A
    | X1 = 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(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_72,negated_conjecture,
    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(spm,[status(thm)],[c_0_55,c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    ( v_Ba = v_A
    | v_Ba != v_B ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_36])]),c_0_66]),c_0_42]) ).

cnf(c_0_74,negated_conjecture,
    ( 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(spm,[status(thm)],[c_0_28,c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_45])]) ).

cnf(c_0_76,negated_conjecture,
    v_Ba = v_A,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).

cnf(c_0_77,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_Message_Omsg_ONonce(v_NAa) = v_NA ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_74]),c_0_38]) ).

cnf(c_0_78,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),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_A)))),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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_75]),c_0_76]),c_0_76]),c_0_76]),c_0_76]) ).

cnf(c_0_79,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(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_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_77]),c_0_76]),c_0_76]),c_0_76]),c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),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_A)))),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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_46,c_0_78]) ).

cnf(c_0_81,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)
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | v_A = v_Aa ),
    cls_conjecture_9 ).

cnf(c_0_82,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(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_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_46,c_0_79]) ).

cnf(c_0_83,negated_conjecture,
    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_A)))),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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_46,c_0_80]) ).

cnf(c_0_84,negated_conjecture,
    ( v_NA = c_Message_Omsg_ONonce(v_NB)
    | X1 != c_Message_Omsg_ONonce(v_NB)
    | v_K != v_KAB
    | v_A != v_Aa
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | X2 != c_Message_Omsg_ONonce(v_NB)
    | v_B != v_Ba ),
    cls_conjecture_69 ).

cnf(c_0_85,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_Aa = v_A
    | 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(spm,[status(thm)],[c_0_24,c_0_81]) ).

cnf(c_0_86,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(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_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_46,c_0_82]) ).

cnf(c_0_87,negated_conjecture,
    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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_46,c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_Message_Omsg_ONonce(v_NAa) != v_NA
    | v_KAB != v_K
    | v_Aa != v_A
    | v_Ba != v_B ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_84])]) ).

cnf(c_0_89,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_Aa = v_A
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_28,c_0_85]) ).

cnf(c_0_90,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_in(c_Message_Omsg_OMPair(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_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_46,c_0_86]) ).

cnf(c_0_91,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0 ).

cnf(c_0_92,negated_conjecture,
    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(spm,[status(thm)],[c_0_55,c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | c_Message_Omsg_ONonce(v_NAa) != v_NA
    | v_Aa != v_A
    | v_Ba != v_B ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_36])]) ).

cnf(c_0_94,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_Aa = v_A ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_89]),c_0_38]) ).

cnf(c_0_95,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | 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_A)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_51,c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    ~ 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(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_45])]),c_0_67]) ).

cnf(c_0_97,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_Ba != v_B ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_77]),c_0_94]) ).

cnf(c_0_98,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | 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_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_55,c_0_95]) ).

cnf(c_0_99,negated_conjecture,
    ( v_Aa = v_A
    | ~ 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(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_96,c_0_94]) ).

cnf(c_0_100,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | v_B != v_A ),
    inference(rw,[status(thm)],[c_0_97,c_0_76]) ).

cnf(c_0_101,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | X1 = v_A
    | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
    | ~ 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(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_98]),c_0_45])]) ).

cnf(c_0_102,negated_conjecture,
    v_Aa = v_A,
    inference(spm,[status(thm)],[c_0_99,c_0_72]) ).

cnf(c_0_103,negated_conjecture,
    ( v_B != v_A
    | ~ 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(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_96,c_0_100]) ).

cnf(c_0_104,negated_conjecture,
    ( c_Message_Omsg_ONonce(v_NB) = v_NA
    | X1 = v_A
    | ~ 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(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102]),c_0_102]),c_0_102]),c_0_67]) ).

cnf(c_0_105,negated_conjecture,
    v_B != v_A,
    inference(spm,[status(thm)],[c_0_103,c_0_72]) ).

cnf(c_0_106,negated_conjecture,
    c_Message_Omsg_ONonce(v_NB) = v_NA,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_72]),c_0_105]) ).

cnf(c_0_107,negated_conjecture,
    ~ 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(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_96,c_0_106]) ).

cnf(c_0_108,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_72,c_0_107]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV296-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 29 02:59:50 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.16/0.55  start to proof: theBenchmark
% 0.50/0.59  % Version  : CSE_E---1.5
% 0.50/0.59  % Problem  : theBenchmark.p
% 0.50/0.59  % Proof found
% 0.50/0.59  % SZS status Theorem for theBenchmark.p
% 0.50/0.59  % SZS output start Proof
% See solution above
% 0.56/0.60  % Total time : 0.027000 s
% 0.56/0.60  % SZS output end Proof
% 0.56/0.60  % Total time : 0.031000 s
%------------------------------------------------------------------------------