TSTP Solution File: SWV325-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV325-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n015.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 : Sat Sep  2 13:00:33 EDT 2023

% Result   : Unsatisfiable 0.20s 0.43s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   81 (  18 unt;   0 def)
%            Number of atoms       :  202 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  211 (  90   ~; 100   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   24 (  22 usr;  22 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  12 con; 0-3 aty)
%            Number of variables   :   42 (;  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f125,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f22,f27,f32,f37,f42,f51,f55,f59,f63,f67,f71,f78,f84,f90,f96,f106,f112,f118,f121,f122,f124]) ).

fof(f124,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f123,f115,f53,f44]) ).

fof(f44,plain,
    ( spl0_7
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f53,plain,
    ( spl0_9
  <=> ! [X2,X4] :
        ( ~ c_in(X4,c_Message_Oanalz(X2),tc_Message_Omsg)
        | c_in(X4,c_Message_Oparts(X2),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f115,plain,
    ( spl0_21
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f123,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(resolution,[],[f117,f54]) ).

fof(f54,plain,
    ( ! [X2,X4] :
        ( ~ c_in(X4,c_Message_Oanalz(X2),tc_Message_Omsg)
        | c_in(X4,c_Message_Oparts(X2),tc_Message_Omsg) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f117,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f122,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f120,f109,f65,f24,f19]) ).

fof(f19,plain,
    ( spl0_2
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f24,plain,
    ( spl0_3
  <=> c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f65,plain,
    ( spl0_12
  <=> ! [X6,X5] :
        ( c_in(X6,c_Event_Obad,tc_Message_Oagent)
        | ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f109,plain,
    ( spl0_20
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f120,plain,
    ( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(resolution,[],[f111,f66]) ).

fof(f66,plain,
    ( ! [X6,X5] :
        ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
        | ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
        | c_in(X6,c_Event_Obad,tc_Message_Oagent) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f111,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f121,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f113,f103,f53,f48]) ).

fof(f48,plain,
    ( spl0_8
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f103,plain,
    ( spl0_19
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f113,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(resolution,[],[f105,f54]) ).

fof(f105,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f118,plain,
    ( spl0_18
    | spl0_21
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f97,f93,f61,f115,f99]) ).

fof(f99,plain,
    ( spl0_18
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f61,plain,
    ( spl0_11
  <=> ! [X2,X0,X1] :
        ( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
        | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f93,plain,
    ( spl0_17
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f97,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(resolution,[],[f95,f62]) ).

fof(f62,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
        | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
        | c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f95,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f112,plain,
    ( spl0_20
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f107,f99,f53,f109]) ).

fof(f107,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(resolution,[],[f101,f54]) ).

fof(f101,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f106,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f91,f87,f61,f103,f99]) ).

fof(f87,plain,
    ( spl0_16
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f91,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(resolution,[],[f89,f62]) ).

fof(f89,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f96,plain,
    ( spl0_17
    | spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f85,f81,f57,f44,f93]) ).

fof(f57,plain,
    ( spl0_10
  <=> ! [X4,X7,X6,X8] :
        ( c_in(X4,X6,X8)
        | c_in(X4,X7,X8)
        | ~ c_in(X4,c_union(X6,X7,X8),X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f81,plain,
    ( spl0_15
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f85,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(resolution,[],[f83,f58]) ).

fof(f58,plain,
    ( ! [X8,X6,X7,X4] :
        ( ~ c_in(X4,c_union(X6,X7,X8),X8)
        | c_in(X4,X7,X8)
        | c_in(X4,X6,X8) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f83,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f90,plain,
    ( spl0_16
    | spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f79,f75,f57,f48,f87]) ).

fof(f75,plain,
    ( spl0_14
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f79,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(resolution,[],[f77,f58]) ).

fof(f77,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f84,plain,
    ( spl0_15
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f73,f69,f39,f29,f81]) ).

fof(f29,plain,
    ( spl0_4
  <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f39,plain,
    ( spl0_6
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f69,plain,
    ( spl0_13
  <=> ! [X2,X1,X3] :
        ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
        | ~ c_in(X3,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X3,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f73,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(resolution,[],[f70,f41]) ).

fof(f41,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f70,plain,
    ( ! [X2,X3,X1] :
        ( ~ c_in(X3,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
        | c_in(X3,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f78,plain,
    ( spl0_14
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f72,f69,f34,f29,f75]) ).

fof(f34,plain,
    ( spl0_5
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f72,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(resolution,[],[f70,f36]) ).

fof(f36,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f71,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f9,f69]) ).

fof(f9,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X3,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X3,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f67,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f11,f65]) ).

fof(f11,axiom,
    ! [X6,X5] :
      ( c_in(X6,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f63,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f8,f61]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_Message_OCrypt__synth_0) ).

fof(f59,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f12,f57]) ).

fof(f12,axiom,
    ! [X8,X6,X7,X4] :
      ( c_in(X4,X6,X8)
      | c_in(X4,X7,X8)
      | ~ c_in(X4,c_union(X6,X7,X8),X8) ),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_Set_OUnE_0) ).

fof(f55,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f10,f53]) ).

fof(f10,axiom,
    ! [X2,X4] :
      ( ~ c_in(X4,c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X4,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f51,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f7,f14,f48,f44]) ).

fof(f14,plain,
    ( spl0_1
  <=> v_C = v_B ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f7,axiom,
    ( v_C = v_B
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_conjecture_6) ).

fof(f42,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f5,f39]) ).

fof(f5,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_conjecture_4) ).

fof(f37,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f4,f34]) ).

fof(f4,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_conjecture_3) ).

fof(f32,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f3,f29]) ).

fof(f3,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_conjecture_2) ).

fof(f27,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f2,f24]) ).

fof(f2,axiom,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_conjecture_1) ).

fof(f22,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f1,f19]) ).

fof(f1,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_conjecture_0) ).

fof(f17,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f6,f14]) ).

fof(f6,axiom,
    v_C != v_B,
    file('/export/starexec/sandbox/tmp/tmp.jG2j0qUwz8/Vampire---4.8_27322',cls_conjecture_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV325-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 30 17:58:12 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.20/0.42  % (27435)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (27441)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 Vampire---4 for (569ds/0Mi)
% 0.20/0.42  % (27437)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.42  % (27439)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.42  % (27443)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42  % (27445)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 Vampire---4 for (531ds/0Mi)
% 0.20/0.42  % (27447)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 Vampire---4 for (522ds/0Mi)
% 0.20/0.42  % (27449)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 Vampire---4 for (497ds/0Mi)
% 0.20/0.42  TRYING [1]
% 0.20/0.42  TRYING [1]
% 0.20/0.42  TRYING [2]
% 0.20/0.42  TRYING [2]
% 0.20/0.43  % (27445)First to succeed.
% 0.20/0.43  % (27447)Also succeeded, but the first one will report.
% 0.20/0.43  TRYING [1]
% 0.20/0.43  TRYING [2]
% 0.20/0.43  % (27445)Refutation found. Thanks to Tanya!
% 0.20/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.20/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43  % (27445)------------------------------
% 0.20/0.43  % (27445)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43  % (27445)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43  % (27445)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (27445)Memory used [KB]: 5500
% 0.20/0.43  % (27445)Time elapsed: 0.006 s
% 0.20/0.43  % (27445)------------------------------
% 0.20/0.43  % (27445)------------------------------
% 0.20/0.43  % (27435)Success in time 0.066 s
% 0.20/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------