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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV299-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n026.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 03:17:00 PM UTC 2026

% Result   : Unsatisfiable 32.36s 7.20s
% Output   : CNFRefutation 32.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  121 (  49 unt;  28 def)
%            Number of atoms       :  526 (  28 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  205 ( 106   ~;  99   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   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  :   32 (  30 usr;  30 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  14 con; 0-3 aty)
%            Number of variables   :  142 (   0 sgn 142   !;   0   ?; 119   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1473,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/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_OMPair__analz_0) ).

fof(f1498,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_Oanalz_OInj_0) ).

fof(f1514,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_Oparts__partsD__dest_0) ).

fof(f1522,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/sandbox/benchmark/Axioms/SWV006-1.ax',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f1525,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/sandbox/benchmark/Axioms/SWV006-1.ax',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f1529,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OAgent(X1))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).

fof(f1560,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(X1,X3,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X3)))))))),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(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OCrypt__imp__OR1__dest_0) ).

fof(f1563,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1564,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) ).

fof(f1566,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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(c_Message_Omsg_ONonce(v_NB),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_3) ).

fof(f1567,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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(c_Message_Omsg_ONonce(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(c_Message_Omsg_ONonce(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_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

tcf(c_2158,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,[],[f1473]) ).

tcf(c_2177,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f1498]) ).

tcf(c_2191,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f1514]) ).

tcf(c_2199,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,[],[f1522]) ).

tcf(c_2202,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,[],[f1525]) ).

tcf(c_2206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ 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(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) ),
    inference(cnf_transformation,[],[f1529]) ).

tcf(c_2235,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(X0,X2,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),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_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ 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) ),
    inference(cnf_transformation,[],[f1560]) ).

tcf(c_2237,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[],[f1563]) ).

tcf(c_2238,negated_conjecture,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[],[f1564]) ).

tcf(c_2240,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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(c_Message_Omsg_ONonce(v_NB),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),
    inference(cnf_transformation,[],[f1566]) ).

tcf(c_2241,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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(c_Message_Omsg_ONonce(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(c_Message_Omsg_ONonce(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_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[],[f1567]) ).

tcf(c_15670,definition,
    iPr_def_11 = c_Public_OshrK(v_A),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_15675,definition,
    iPr_def_16 = c_List_Oset(v_evs3,tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_15676,definition,
    iPr_def_17 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_15677,definition,
    iPr_def_18 = c_Message_Oparts(iPr_def_17),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_15678,definition,
    iPr_def_19 = c_Message_Omsg_ONonce(v_NA),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_15679,definition,
    iPr_def_20 = c_Message_Omsg_OAgent(v_Aa),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_15680,definition,
    iPr_def_21 = c_Message_Omsg_OAgent(v_A),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_15681,definition,
    iPr_def_22 = c_Public_OshrK(v_Aa),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_15682,definition,
    iPr_def_23 = c_Message_Omsg_OMPair(iPr_def_20,iPr_def_21),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_15683,definition,
    iPr_def_24 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_23),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_15684,definition,
    iPr_def_25 = c_Message_Omsg_OCrypt(iPr_def_22,iPr_def_24),
    introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).

tcf(c_15685,definition,
    iPr_def_26 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_23),
    introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).

tcf(c_15686,definition,
    iPr_def_27 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_26),
    introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).

tcf(c_15687,definition,
    iPr_def_28 = c_Message_Omsg_OCrypt(iPr_def_11,iPr_def_27),
    introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).

tcf(c_15688,definition,
    iPr_def_29 = c_Message_Omsg_OMPair(iPr_def_25,iPr_def_28),
    introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).

tcf(c_15689,definition,
    iPr_def_30 = c_Message_Omsg_OMPair(iPr_def_21,iPr_def_29),
    introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).

tcf(c_15690,definition,
    iPr_def_31 = c_Message_Omsg_OMPair(iPr_def_20,iPr_def_30),
    introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).

tcf(c_15691,definition,
    iPr_def_32 = c_Message_Omsg_OMPair(iPr_def_19,iPr_def_31),
    introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).

tcf(c_15692,definition,
    iPr_def_33 = c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,iPr_def_32),
    introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).

tcf(c_15693,definition,
    iPr_def_34 = c_Message_Omsg_OAgent(v_B),
    introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).

tcf(c_15694,definition,
    iPr_def_35 = c_Message_Omsg_OMPair(iPr_def_21,iPr_def_34),
    introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).

tcf(c_15695,definition,
    iPr_def_36 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_35),
    introduced(definition,[new_symbols(definition,[iPr_def_36])],[]) ).

tcf(c_15696,definition,
    iPr_def_37 = c_Message_Omsg_OCrypt(iPr_def_11,iPr_def_36),
    introduced(definition,[new_symbols(definition,[iPr_def_37])],[]) ).

tcf(c_15697,definition,
    iPr_def_38 = c_Message_Omsg_OMPair(iPr_def_34,iPr_def_37),
    introduced(definition,[new_symbols(definition,[iPr_def_38])],[]) ).

tcf(c_15698,definition,
    iPr_def_39 = c_Message_Omsg_OMPair(iPr_def_21,iPr_def_38),
    introduced(definition,[new_symbols(definition,[iPr_def_39])],[]) ).

tcf(c_15699,definition,
    iPr_def_40 = c_Message_Omsg_OMPair(iPr_def_10,iPr_def_39),
    introduced(definition,[new_symbols(definition,[iPr_def_40])],[]) ).

tcf(c_15700,definition,
    iPr_def_41 = c_Event_Oevent_OSays(v_A,v_B,iPr_def_40),
    introduced(definition,[new_symbols(definition,[iPr_def_41])],[]) ).

tcf(c_15702,definition,
    iPr_def_43 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_43])],[]) ).

tcf(c_15706,negated_conjecture,
    c_in(iPr_def_33,iPr_def_16,tc_Event_Oevent),
    inference(demodulation,[status(thm)],[c_2241,c_15685,c_15686,c_15687,c_15682,c_15683,c_15681,c_15684,c_15688,c_15680,c_15689,c_15679,c_15690,c_15678,c_15691,c_15692]) ).

tcf(c_15707,negated_conjecture,
    c_in(iPr_def_41,iPr_def_16,tc_Event_Oevent),
    inference(demodulation,[status(thm)],[c_2240,c_15694,c_15695,c_15696,c_15693,c_15697,c_15698,c_15699,c_15700]) ).

tcf(c_15709,negated_conjecture,
    c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_43),
    inference(demodulation,[status(thm)],[c_2238,c_15702]) ).

tcf(c_15710,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(demodulation,[status(thm)],[c_2237]) ).

tcf(c_23750,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Message_Oparts(iPr_def_17),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(iPr_def_18),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15677,c_2191]) ).

tcf(c_23751,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_18,tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(iPr_def_18),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_23750,c_15677]) ).

tcf(c_24061,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_28,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_29,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15688,c_2158]) ).

tcf(c_24062,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_29,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_30,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15689,c_2158]) ).

tcf(c_24063,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_30,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_31,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15690,c_2158]) ).

tcf(c_24064,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_31,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_32,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15691,c_2158]) ).

tcf(c_24067,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_37,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_38,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15697,c_2158]) ).

tcf(c_24068,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_38,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_39,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15698,c_2158]) ).

tcf(c_24069,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_39,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_40,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15699,c_2158]) ).

tcf(c_27071,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_31,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_32,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_2177,c_24064]) ).

tcf(c_27081,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_30,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_32,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_27071,c_24063]) ).

tcf(c_28070,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_29,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_32,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_27081,c_24062]) ).

tcf(c_28243,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_28,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_32,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_28070,c_24061]) ).

tcf(c_28305,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_28,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_32,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_28243,c_2202]) ).

tcf(c_28470,plain,
    ( c_in(iPr_def_28,iPr_def_18,tc_Message_Omsg)
    | ~ c_in(iPr_def_32,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_28305,c_23751]) ).

tcf(c_28974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_16,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_15675,c_2199]) ).

tcf(c_28980,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X2,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_16,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_28974,c_15676]) ).

tcf(c_29718,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_38,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_39,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_2177,c_24068]) ).

tcf(c_29728,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_37,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_39,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_29718,c_24067]) ).

tcf(c_29763,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_37,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_39,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_29728,c_2202]) ).

tcf(c_29779,plain,
    ( c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg)
    | ~ c_in(iPr_def_39,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_29763,c_23751]) ).

tcf(c_29870,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_39,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_40,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_2177,c_24069]) ).

tcf(c_29880,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_38,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_40,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_29870,c_24068]) ).

tcf(c_29955,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_37,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_40,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_29880,c_24067]) ).

tcf(c_29996,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_37,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_40,X0,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_29955,c_2202]) ).

tcf(c_30312,plain,
    ( c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg)
    | ~ c_in(iPr_def_40,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_29996,c_23751]) ).

tcf(c_36240,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X4,c_OtwayRees_Ootway,iPr_def_43)
      | ~ 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(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) ),
    inference(light_normalisation,[status(thm)],[c_2206,c_15702]) ).

tcf(c_36263,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_43)
      | ~ 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(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | ~ 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(iPr_def_17),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15676,c_36240]) ).

tcf(c_36264,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_43)
      | ~ 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(X4)))),iPr_def_18,tc_Message_Omsg)
      | ~ 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))))),iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_36263,c_15676,c_15677]) ).

tcf(c_36265,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ 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(X4)))),iPr_def_18,tc_Message_Omsg)
      | ~ 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))))),iPr_def_18,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36264,c_15709]) ).

tcf(c_36441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X3)))),iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_21)))),iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15680,c_36265]) ).

tcf(c_36452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X3)))),iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_21)))),iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_36441,c_15670,c_15680]) ).

tcf(c_36453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X3)))),iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),iPr_def_21)))),iPr_def_18,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36452,c_15710]) ).

tcf(c_36481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X2)))),iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_20,iPr_def_21)))),iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15679,c_36453]) ).

tcf(c_36482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X0,iPr_def_23))),iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))),iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_36481,c_15682]) ).

tcf(c_37242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(X0,X2,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),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_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,iPr_def_43)
      | ~ 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) ),
    inference(light_normalisation,[status(thm)],[c_2235,c_15702]) ).

tcf(c_37264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(v_A,X1,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_43)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X0,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,X2)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15680,c_37242]) ).

tcf(c_37311,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(v_A,X1,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_43)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_37264,c_15670,c_15680]) ).

tcf(c_37312,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Event_Oevent_OSays(v_A,X1,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_43)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_37311,c_15710]) ).

tcf(c_37642,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_43)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_37312,c_2199]) ).

tcf(c_38973,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1))))))),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
      | ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_43)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15676,c_37642]) ).

tcf(c_38983,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1))))))),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
      | ~ c_in(v_evs3,c_OtwayRees_Ootway,iPr_def_43)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))),iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_38973,c_15676,c_15677]) ).

tcf(c_38984,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1))))))),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(X1)))),iPr_def_18,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_38983,c_15709]) ).

tcf(c_39179,plain,
    ! [X0: $i] :
      ( c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(iPr_def_34,c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,iPr_def_34)))))),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OAgent(v_B)))),iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15693,c_38984]) ).

tcf(c_39191,plain,
    ! [X0: $i] :
      ( c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(iPr_def_34,c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,iPr_def_35))))),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,iPr_def_35)),iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_39179,c_15693,c_15694]) ).

tcf(c_39373,plain,
    ! [X0: $i,X1: $i] :
      ( ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(iPr_def_21,iPr_def_34))),iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,iPr_def_23))),iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15693,c_36482]) ).

tcf(c_39377,plain,
    ! [X0: $i,X1: $i] :
      ( ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X1,iPr_def_35)),iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,iPr_def_23))),iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_39373,c_15694]) ).

tcf(c_39660,plain,
    ( c_in(c_Message_Omsg_OMPair(iPr_def_10,c_Message_Omsg_OMPair(iPr_def_21,c_Message_Omsg_OMPair(iPr_def_34,c_Message_Omsg_OCrypt(iPr_def_11,iPr_def_36)))),c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(iPr_def_10,iPr_def_35)),iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15695,c_39191]) ).

tcf(c_39664,plain,
    ( c_in(iPr_def_40,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
    | ~ c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_39660,c_15695,c_15696,c_15697,c_15698,c_15699]) ).

tcf(c_39858,plain,
    ( c_in(iPr_def_39,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
    | ~ c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_39664,c_24069]) ).

tcf(c_41849,plain,
    ( c_in(iPr_def_39,c_Message_Oparts(iPr_def_17),tc_Message_Omsg)
    | ~ c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_39858,c_2202]) ).

tcf(c_41856,plain,
    ( c_in(iPr_def_39,iPr_def_18,tc_Message_Omsg)
    | ~ c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_41849,c_15677]) ).

tcf(c_44061,plain,
    ! [X0: $i] :
      ( ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(iPr_def_10,iPr_def_35)),iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,iPr_def_26)),iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15685,c_39377]) ).

tcf(c_44062,plain,
    ! [X0: $i] :
      ( ~ c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,c_Message_Omsg_OMPair(X0,iPr_def_26)),iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_44061,c_15695,c_15696]) ).

tcf(c_49169,plain,
    ( ~ c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(iPr_def_11,iPr_def_27),iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15686,c_44062]) ).

tcf(c_49170,plain,
    ( ~ c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg)
    | ~ c_in(iPr_def_28,iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_49169,c_15687]) ).

tcf(c_96325,plain,
    ( c_in(iPr_def_32,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
    | ~ c_in(iPr_def_33,iPr_def_16,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_15692,c_28980]) ).

tcf(c_96326,plain,
    ( c_in(iPr_def_40,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg)
    | ~ c_in(iPr_def_41,iPr_def_16,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_15700,c_28980]) ).

tcf(c_96327,plain,
    c_in(iPr_def_40,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_96326,c_15707]) ).

tcf(c_96328,plain,
    c_in(iPr_def_32,c_Message_Oanalz(iPr_def_17),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_96325,c_15706]) ).

tcf(c_96487,plain,
    c_in(iPr_def_40,c_Message_Oparts(iPr_def_17),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_96327,c_2202]) ).

tcf(c_96494,plain,
    c_in(iPr_def_40,iPr_def_18,tc_Message_Omsg),
    inference(light_normalisation,[status(thm)],[c_96487,c_15677]) ).

tcf(c_96500,plain,
    c_in(iPr_def_37,iPr_def_18,tc_Message_Omsg),
    inference(backward_subsumption_resolution,[status(thm)],[c_30312,c_96494]) ).

tcf(c_96554,plain,
    c_in(iPr_def_39,iPr_def_18,tc_Message_Omsg),
    inference(backward_subsumption_resolution,[status(thm)],[c_41856,c_96500]) ).

tcf(c_96570,plain,
    c_in(iPr_def_32,c_Message_Oparts(iPr_def_17),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_96328,c_2202]) ).

tcf(c_96579,plain,
    c_in(iPr_def_32,iPr_def_18,tc_Message_Omsg),
    inference(light_normalisation,[status(thm)],[c_96570,c_15677]) ).

tcf(c_96580,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_96579,c_96554,c_49170,c_29779,c_28470]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV299-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Thu Sep 24 19:08:54 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 32.36/7.20  % SZS status Started for theBenchmark.p
% 32.36/7.20  % SZS status Unsatisfiable for theBenchmark.p
% 32.36/7.20  
% 32.36/7.20  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 32.36/7.20  
% 32.36/7.20  % ------  iProver source info
% 32.36/7.20  
% 32.36/7.20  % git: date: 2026-07-19 20:42:38 +0200
% 32.36/7.20  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 32.36/7.20  % git: non_committed_changes: false
% 32.36/7.20  
% 32.36/7.20  % ------ Parsing...% successful
% 32.36/7.20  
% 32.36/7.20  
% 32.36/7.20  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 32.36/7.20  
% 32.36/7.20  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 18 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 30 0s  sf_e  pe_s  pe_e % 
% 32.36/7.20  
% 32.36/7.20  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 32.36/7.20  
% 32.36/7.20  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 32.36/7.20  % ------ Proving...
% 32.36/7.20  % ------ Problem Properties 
% 32.36/7.20  
% 32.36/7.20  % 
% 32.36/7.20  % clauses                               432
% 32.36/7.20  % conjectures                           8
% 32.36/7.20  % EPR                                   37
% 32.36/7.20  % Horn                                  397
% 32.36/7.20  % unary                                 150
% 32.36/7.20  % binary                                219
% 32.36/7.20  % lits                                  781
% 32.36/7.20  % lits eq                               258
% 32.36/7.20  % fd_pure                               0
% 32.36/7.20  % fd_pseudo                             0
% 32.36/7.20  % fd_cond                               21
% 32.36/7.20  % fd_pseudo_cond                        62
% 32.36/7.20  % AC symbols                            0
% 32.36/7.20  
% 32.36/7.20  % ------ Schedule dynamic 5 is on 
% 32.36/7.20  
% 32.36/7.20  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.36/7.20  
% 32.36/7.20  
% 32.36/7.20  % ------ 
% 32.36/7.20  % Current options:
% 32.36/7.20  % ------ 
% 32.36/7.20  
% 32.36/7.20  
% 32.36/7.20  % 
% 32.36/7.20  
% 32.36/7.20  % ------ Proving...
% 32.36/7.20  % 
% 32.36/7.20  
% 32.36/7.20  % SZS status Unsatisfiable for theBenchmark.p
% 32.36/7.20  
% 32.36/7.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.36/7.20  
% 32.36/7.20  
%------------------------------------------------------------------------------