TSTP Solution File: SWV363-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV363-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Sun May  5 10:51:32 EDT 2024

% Result   : Unsatisfiable 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  105 (  16 unt;   0 def)
%            Number of atoms       :  293 (   3 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  351 ( 163   ~; 159   |;   0   &)
%                                         (  29 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   32 (  30 usr;  30 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  13 con; 0-3 aty)
%            Number of variables   :  154 ( 154   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f167,plain,
    $false,
    inference(avatar_sat_refutation,[],[f15,f20,f25,f30,f34,f38,f43,f47,f53,f58,f63,f69,f74,f79,f87,f93,f98,f107,f113,f122,f127,f132,f137,f141,f149,f158,f163,f166]) ).

fof(f166,plain,
    ( ~ spl0_16
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f164]) ).

fof(f164,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(resolution,[],[f162,f92]) ).

fof(f92,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl0_16
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f162,plain,
    ( ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl0_29
  <=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f163,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_2
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f101,f95,f61,f17,f161,f12]) ).

fof(f12,plain,
    ( spl0_1
  <=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f17,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f61,plain,
    ( spl0_11
  <=> ! [X1,X10,X9,X0,X8,X6,X3,X7] :
        ( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X6,c_Message_Omsg_ONonce(X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),X10))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f95,plain,
    ( spl0_17
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f101,plain,
    ( ! [X2,X0,X1] :
        ( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(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(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(resolution,[],[f97,f62]) ).

fof(f62,plain,
    ( ! [X3,X10,X0,X1,X8,X6,X9,X7] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),X10))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X6,c_Message_Omsg_ONonce(X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f97,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f158,plain,
    ( ~ spl0_1
    | spl0_27
    | spl0_28
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f99,f90,f61,f155,f152,f12]) ).

fof(f152,plain,
    ( spl0_27
  <=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NA)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f155,plain,
    ( spl0_28
  <=> c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f99,plain,
    ( ! [X2,X0,X1] :
        ( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oanalz(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(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(v_NA)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(resolution,[],[f92,f62]) ).

fof(f149,plain,
    ( spl0_25
    | ~ spl0_1
    | spl0_26
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f102,f95,f85,f146,f12,f143]) ).

fof(f143,plain,
    ( spl0_25
  <=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f146,plain,
    ( spl0_26
  <=> c_in(c_Message_Omsg_ONonce(v_NBa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f85,plain,
    ( spl0_15
  <=> ! [X2,X6,X4,X0,X3,X5,X1,X7] :
        ( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(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(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
        | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X7))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f102,plain,
    ( ! [X2,X0,X1] :
        ( c_in(c_Message_Omsg_ONonce(v_NBa),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) )
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(resolution,[],[f97,f86]) ).

fof(f86,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
        | c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
        | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X7))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f141,plain,
    ( spl0_24
    | ~ spl0_1
    | spl0_2
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f100,f90,f85,f17,f12,f139]) ).

fof(f139,plain,
    ( spl0_24
  <=> ! [X2,X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f100,plain,
    ( ! [X2,X0,X1] :
        ( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) )
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(resolution,[],[f92,f86]) ).

fof(f137,plain,
    ( spl0_23
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f116,f111,f104,f134]) ).

fof(f134,plain,
    ( spl0_23
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f104,plain,
    ( spl0_18
  <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f111,plain,
    ( spl0_19
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f116,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg)
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(resolution,[],[f112,f106]) ).

fof(f106,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f112,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
        | c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f132,plain,
    ( spl0_22
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f114,f111,f66,f129]) ).

fof(f129,plain,
    ( spl0_22
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f66,plain,
    ( spl0_12
  <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f114,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(resolution,[],[f112,f68]) ).

fof(f68,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f127,plain,
    ( spl0_21
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f109,f104,f77,f124]) ).

fof(f124,plain,
    ( spl0_21
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f77,plain,
    ( spl0_14
  <=> ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f109,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(resolution,[],[f106,f78]) ).

fof(f78,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
        | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f122,plain,
    ( spl0_20
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f88,f85,f36,f120]) ).

fof(f120,plain,
    ( spl0_20
  <=> ! [X2,X6,X4,X0,X3,X5,X1,X7] :
        ( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
        | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X4))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X0)))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f36,plain,
    ( spl0_6
  <=> ! [X2,X5] :
        ( ~ c_in(X2,X5,tc_Message_Omsg)
        | c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f88,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
        | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X4))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_ONonce(X0)))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f86,f37]) ).

fof(f37,plain,
    ( ! [X2,X5] :
        ( c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg)
        | ~ c_in(X2,X5,tc_Message_Omsg) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f113,plain,
    ( spl0_19
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f82,f77,f36,f111]) ).

fof(f82,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) )
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f78,f37]) ).

fof(f107,plain,
    ( spl0_18
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f75,f71,f41,f104]) ).

fof(f41,plain,
    ( spl0_7
  <=> ! [X0,X1] :
        ( c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
        | ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f71,plain,
    ( spl0_13
  <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f75,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(resolution,[],[f42,f73]) ).

fof(f73,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f42,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg)
        | c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f98,plain,
    ( spl0_17
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f83,f77,f71,f32,f95]) ).

fof(f32,plain,
    ( spl0_5
  <=> ! [X5] : c_Message_Oparts(X5) = c_Message_Oparts(c_Message_Oanalz(X5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f83,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f81,f33]) ).

fof(f33,plain,
    ( ! [X5] : c_Message_Oparts(X5) = c_Message_Oparts(c_Message_Oanalz(X5))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f81,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f78,f73]) ).

fof(f93,plain,
    ( spl0_16
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f80,f77,f66,f90]) ).

fof(f80,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(resolution,[],[f78,f68]) ).

fof(f87,plain,
    ( spl0_15
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f64,f61,f36,f85]) ).

fof(f64,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(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(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
        | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),X7))),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(resolution,[],[f62,f37]) ).

fof(f79,plain,
    ( spl0_14
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f48,f45,f36,f77]) ).

fof(f45,plain,
    ( spl0_8
  <=> ! [X4,X5,X2] :
        ( c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f48,plain,
    ( ! [X2,X0,X1] :
        ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(resolution,[],[f46,f37]) ).

fof(f46,plain,
    ( ! [X2,X4,X5] :
        ( ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg)
        | c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f74,plain,
    ( ~ spl0_1
    | spl0_13
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f59,f56,f22,f71,f12]) ).

fof(f22,plain,
    ( spl0_3
  <=> c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f56,plain,
    ( spl0_10
  <=> ! [X2,X1,X3] :
        ( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f59,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(resolution,[],[f57,f24]) ).

fof(f24,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f57,plain,
    ( ! [X2,X3,X1] :
        ( ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
        | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
        | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f69,plain,
    ( spl0_12
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f54,f51,f27,f66]) ).

fof(f27,plain,
    ( spl0_4
  <=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f51,plain,
    ( spl0_9
  <=> ! [X2,X0,X1,X3] :
        ( c_in(X2,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) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f54,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f52,f29]) ).

fof(f29,plain,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f52,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
        | c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f63,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f6,f61]) ).

fof(f6,axiom,
    ! [X3,X10,X0,X1,X8,X6,X9,X7] :
      ( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X6,c_Message_Omsg_ONonce(X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),X10))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).

fof(f58,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f5,f56]) ).

fof(f5,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

fof(f53,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f1,f51]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X2,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__spies_0) ).

fof(f47,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f2,f45]) ).

fof(f2,axiom,
    ! [X2,X4,X5] :
      ( c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f43,plain,
    ( spl0_7
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f39,f36,f32,f41]) ).

fof(f39,plain,
    ( ! [X0,X1] :
        ( c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
        | ~ c_in(X1,c_Message_Oanalz(X0),tc_Message_Omsg) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f37,f33]) ).

fof(f38,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f3,f36]) ).

fof(f3,axiom,
    ! [X2,X5] :
      ( ~ c_in(X2,X5,tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f34,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f4,f32]) ).

fof(f4,axiom,
    ! [X5] : c_Message_Oparts(X5) = c_Message_Oparts(c_Message_Oanalz(X5)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).

fof(f30,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f9,f27]) ).

fof(f9,axiom,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f25,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f8,f22]) ).

fof(f8,axiom,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f20,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f10,f17]) ).

fof(f10,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f15,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f7,f12]) ).

fof(f7,axiom,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWV363-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:00:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (7471)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (7474)WARNING: value z3 for option sas not known
% 0.14/0.38  % (7473)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (7475)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (7474)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (7476)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (7472)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (7477)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (7478)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (7476)First to succeed.
% 0.14/0.38  % (7474)Also succeeded, but the first one will report.
% 0.14/0.38  % (7477)Also succeeded, but the first one will report.
% 0.14/0.39  % (7476)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7471"
% 0.14/0.39  % (7476)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (7476)------------------------------
% 0.14/0.39  % (7476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39  % (7476)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (7476)Memory used [KB]: 873
% 0.14/0.39  % (7476)Time elapsed: 0.010 s
% 0.14/0.39  % (7476)Instructions burned: 12 (million)
% 0.14/0.39  % (7471)Success in time 0.022 s
%------------------------------------------------------------------------------