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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV290-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:16:58 PM UTC 2026

% Result   : Unsatisfiable 2.05s 6.30s
% Output   : CNFRefutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   82 (  46 unt;  26 def)
%            Number of atoms       :  329 (  26 equ)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :  138 (  68   ~;  70   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  27 usr;  27 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;  15 con; 0-3 aty)
%            Number of variables   :  112 (   0 sgn 112   !;   0   ?;  93   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f4,negated_conjecture,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f5,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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X6))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X6)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OAgent(X1)))))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_ONB__Crypt__imp__Server__msg_0) ).

tcf(c_59,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_60,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_61,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_62,negated_conjecture,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_63,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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,X2),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_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X6))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X6)))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X0)))))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_112,definition,
    iPr_def_10 = c_Public_OshrK(v_A),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_113,definition,
    iPr_def_11 = c_Message_Omsg_OKey(v_K),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_114,definition,
    iPr_def_12 = c_Message_Omsg_OMPair(v_NA,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_115,definition,
    iPr_def_13 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_116,definition,
    iPr_def_14 = c_Public_OshrK(v_B),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_117,definition,
    iPr_def_15 = c_Message_Omsg_OMPair(v_NB,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_118,definition,
    iPr_def_16 = c_Message_Omsg_OCrypt(iPr_def_14,iPr_def_15),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_119,definition,
    iPr_def_17 = c_Message_Omsg_OMPair(iPr_def_13,iPr_def_16),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_120,definition,
    iPr_def_18 = c_Message_Omsg_OMPair(v_NA,iPr_def_17),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_121,definition,
    iPr_def_19 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,iPr_def_18),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_122,definition,
    iPr_def_20 = c_List_Oset(v_evs,tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_123,definition,
    iPr_def_21 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_124,definition,
    iPr_def_22 = c_Message_Omsg_OMPair(v_X,iPr_def_16),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_125,definition,
    iPr_def_23 = c_Message_Omsg_OMPair(v_NA,iPr_def_22),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_126,definition,
    iPr_def_24 = c_Event_Oevent_OGets(v_B,iPr_def_23),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_127,definition,
    iPr_def_25 = c_Message_Omsg_OAgent(v_A),
    introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).

tcf(c_128,definition,
    iPr_def_26 = c_Message_Omsg_OAgent(v_B),
    introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).

tcf(c_129,definition,
    iPr_def_27 = c_Message_Omsg_OMPair(iPr_def_25,iPr_def_26),
    introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).

tcf(c_130,definition,
    iPr_def_28 = c_Message_Omsg_OMPair(v_NB,iPr_def_27),
    introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).

tcf(c_131,definition,
    iPr_def_29 = c_Message_Omsg_OMPair(v_NA,iPr_def_28),
    introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).

tcf(c_132,definition,
    iPr_def_30 = c_Message_Omsg_OCrypt(iPr_def_14,iPr_def_29),
    introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).

tcf(c_133,definition,
    iPr_def_31 = c_Message_Omsg_OMPair(v_X_H,iPr_def_30),
    introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).

tcf(c_134,definition,
    iPr_def_32 = c_Message_Omsg_OMPair(iPr_def_26,iPr_def_31),
    introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).

tcf(c_135,definition,
    iPr_def_33 = c_Message_Omsg_OMPair(iPr_def_25,iPr_def_32),
    introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).

tcf(c_136,definition,
    iPr_def_34 = c_Message_Omsg_OMPair(v_NA,iPr_def_33),
    introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).

tcf(c_137,definition,
    iPr_def_35 = c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,iPr_def_34),
    introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).

tcf(c_138,negated_conjecture,
    ~ c_in(iPr_def_19,iPr_def_20,tc_Event_Oevent),
    inference(demodulation,[status(thm)],[c_63,c_122,c_117,c_116,c_118,c_113,c_114,c_112,c_115,c_119,c_120,c_121]) ).

tcf(c_139,negated_conjecture,
    c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21),
    inference(demodulation,[status(thm)],[c_62,c_123]) ).

tcf(c_140,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(demodulation,[status(thm)],[c_61]) ).

tcf(c_141,negated_conjecture,
    c_in(iPr_def_24,iPr_def_20,tc_Event_Oevent),
    inference(demodulation,[status(thm)],[c_60,c_124,c_125,c_126]) ).

tcf(c_142,negated_conjecture,
    c_in(iPr_def_35,iPr_def_20,tc_Event_Oevent),
    inference(demodulation,[status(thm)],[c_59,c_129,c_130,c_131,c_132,c_133,c_128,c_134,c_127,c_135,c_136,c_137]) ).

tcf(c_521,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_16,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_22,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_124,c_65]) ).

tcf(c_522,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_22,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_23,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_125,c_65]) ).

tcf(c_615,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_122,c_64]) ).

tcf(c_625,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,X2),X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_21)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_67,c_123]) ).

tcf(c_635,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs),X0,X1),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_122,c_625]) ).

tcf(c_640,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs),X0,X1),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_20,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_635,c_122]) ).

tcf(c_641,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs),X0,X1),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_20,tc_Event_Oevent) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_640,c_139]) ).

tcf(c_646,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X6))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X6)))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X5,c_OtwayRees_Ootway,iPr_def_21)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X0)))))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_68,c_123]) ).

tcf(c_672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X0)))))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_122,c_646]) ).

tcf(c_673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(v_evs,c_OtwayRees_Ootway,iPr_def_21)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X0)))))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_672,c_122]) ).

tcf(c_674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X0)))))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_673,c_139]) ).

tcf(c_768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),iPr_def_26))))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_128,c_674]) ).

tcf(c_769,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),iPr_def_26))))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_768,c_116]) ).

tcf(c_770,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),iPr_def_26))))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_769,c_140]) ).

tcf(c_804,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_25,c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(iPr_def_25,iPr_def_26))))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_127,c_770]) ).

tcf(c_810,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_25,c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,iPr_def_27)))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_804,c_112,c_129]) ).

tcf(c_849,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(iPr_def_10,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(X2))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X2)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_25,c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(X0,iPr_def_28))))))),iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_130,c_810]) ).

tcf(c_905,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_641,c_615]) ).

tcf(c_930,plain,
    ( c_in(iPr_def_23,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | ~ c_in(iPr_def_24,iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_126,c_905]) ).

tcf(c_931,plain,
    c_in(iPr_def_23,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_930,c_141]) ).

tcf(c_933,plain,
    c_in(iPr_def_22,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_931,c_522]) ).

tcf(c_935,plain,
    c_in(iPr_def_16,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_933,c_521]) ).

tcf(c_942,plain,
    c_in(iPr_def_16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_935,c_66]) ).

tcf(c_1029,plain,
    ! [X0: $i,X1: $i] :
      ( 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(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_25,c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(iPr_def_14,iPr_def_29)))))),iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_131,c_849]) ).

tcf(c_1030,plain,
    ! [X0: $i,X1: $i] :
      ( 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(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_25,c_Message_Omsg_OMPair(iPr_def_26,c_Message_Omsg_OMPair(X0,iPr_def_30))))),iPr_def_20,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_1029,c_132]) ).

tcf(c_1094,plain,
    ! [X0: $i] :
      ( 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(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X0))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(iPr_def_25,c_Message_Omsg_OMPair(iPr_def_26,iPr_def_31)))),iPr_def_20,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_133,c_1030]) ).

tcf(c_1095,plain,
    ! [X0: $i] :
      ( 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(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X0))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(iPr_def_35,iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_1094,c_134,c_135,c_136,c_137]) ).

tcf(c_1096,plain,
    ! [X0: $i] :
      ( 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(iPr_def_10,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X0))),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0)))))),iPr_def_20,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1095,c_142]) ).

tcf(c_1106,plain,
    ( 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(iPr_def_10,c_Message_Omsg_OMPair(v_NA,iPr_def_11)),c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,iPr_def_11))))),iPr_def_20,tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_14,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_113,c_1096]) ).

tcf(c_1109,plain,
    ( c_in(iPr_def_19,iPr_def_20,tc_Event_Oevent)
    | ~ c_in(iPr_def_16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_1106,c_113,c_114,c_115,c_117,c_118,c_119,c_120,c_121]) ).

tcf(c_1110,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1109,c_138,c_942]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV290-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.38  % Computer : n018.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Thu Sep 24 19:05:10 UTC 2026
% 0.11/5.39  % CPUTime  : 
% 0.11/5.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44  
% 0.15/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44  
% 0.15/5.44  % Detected problem language: tptp
% 0.15/5.45  % Proving...
% 2.05/6.30  % SZS status Started for theBenchmark.p
% 2.05/6.30  % SZS status Unsatisfiable for theBenchmark.p
% 2.05/6.30  
% 2.05/6.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.05/6.30  
% 2.05/6.30  % ------  iProver source info
% 2.05/6.30  
% 2.05/6.30  % git: date: 2026-07-19 20:42:38 +0200
% 2.05/6.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.05/6.30  % git: non_committed_changes: false
% 2.05/6.30  
% 2.05/6.30  % ------ Parsing...% successful
% 2.05/6.30  
% 2.05/6.30  
% 2.05/6.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.05/6.30  
% 2.05/6.30  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.05/6.30  
% 2.05/6.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.05/6.30  
% 2.05/6.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.05/6.30  % ------ Proving...
% 2.05/6.30  % ------ Problem Properties 
% 2.05/6.30  
% 2.05/6.30  % 
% 2.05/6.30  % clauses                               36
% 2.05/6.30  % conjectures                           5
% 2.05/6.30  % EPR                                   5
% 2.05/6.30  % Horn                                  35
% 2.05/6.30  % unary                                 31
% 2.05/6.30  % binary                                3
% 2.05/6.30  % lits                                  45
% 2.05/6.30  % lits eq                               26
% 2.05/6.30  % fd_pure                               0
% 2.05/6.30  % fd_pseudo                             0
% 2.05/6.30  % fd_cond                               0
% 2.05/6.30  % fd_pseudo_cond                        0
% 2.05/6.30  % AC symbols                            0
% 2.05/6.30  
% 2.05/6.30  % ------ Schedule dynamic 5 is on 
% 2.05/6.30  
% 2.05/6.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.05/6.30  
% 2.05/6.30  
% 2.05/6.30  % ------ 
% 2.05/6.30  % Current options:
% 2.05/6.30  % ------ 
% 2.05/6.30  
% 2.05/6.30  
% 2.05/6.30  % 
% 2.05/6.30  
% 2.05/6.30  % ------ Proving...
% 2.05/6.30  % 
% 2.05/6.30  
% 2.05/6.30  % SZS status Unsatisfiable for theBenchmark.p
% 2.05/6.30  
% 2.05/6.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.05/6.30  
% 2.05/6.30  
%------------------------------------------------------------------------------