TSTP Solution File: SWV301-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV301-2 : 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 : n014.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 10:49:06 EDT 2024

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   86 (  18 unt;   0 def)
%            Number of atoms       :  205 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  210 (  91   ~;  97   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :   25 (  23 usr;  23 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  15 con; 0-3 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f133,plain,
    $false,
    inference(avatar_sat_refutation,[],[f18,f23,f28,f33,f38,f43,f52,f61,f65,f69,f77,f83,f84,f88,f92,f96,f102,f108,f118,f120,f127,f129,f132]) ).

fof(f132,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f131,f124,f90,f20,f15]) ).

fof(f15,plain,
    ( spl0_1
  <=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f20,plain,
    ( spl0_2
  <=> c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f90,plain,
    ( spl0_16
  <=> ! [X6,X7] :
        ( c_in(X7,c_Event_Obad,tc_Message_Oagent)
        | ~ c_in(X6,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f124,plain,
    ( spl0_22
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f131,plain,
    ( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(resolution,[],[f126,f91]) ).

fof(f91,plain,
    ( ! [X6,X7] :
        ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
        | ~ c_in(X6,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
        | c_in(X7,c_Event_Obad,tc_Message_Oagent) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f126,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f129,plain,
    ( spl0_13
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f128,f115,f63,f74]) ).

fof(f74,plain,
    ( spl0_13
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f63,plain,
    ( spl0_10
  <=> ! [X5,X3] :
        ( ~ c_in(X5,c_Message_Oanalz(X3),tc_Message_Omsg)
        | c_in(X5,c_Message_Oparts(X3),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

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

fof(f128,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(resolution,[],[f117,f64]) ).

fof(f64,plain,
    ( ! [X3,X5] :
        ( ~ c_in(X5,c_Message_Oanalz(X3),tc_Message_Omsg)
        | c_in(X5,c_Message_Oparts(X3),tc_Message_Omsg) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f63]) ).

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

fof(f127,plain,
    ( spl0_22
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f122,f111,f63,f124]) ).

fof(f111,plain,
    ( spl0_20
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f122,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(resolution,[],[f113,f64]) ).

fof(f113,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f120,plain,
    ( ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f119]) ).

fof(f119,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(resolution,[],[f72,f47]) ).

fof(f47,plain,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_7
  <=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f72,plain,
    ( ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_12
  <=> ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f118,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f109,f105,f86,f115,f111]) ).

fof(f86,plain,
    ( spl0_15
  <=> ! [X2,X1,X3] :
        ( c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
        | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f105,plain,
    ( spl0_19
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),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_19])]) ).

fof(f109,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),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_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(resolution,[],[f107,f87]) ).

fof(f87,plain,
    ( ! [X2,X3,X1] :
        ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
        | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
        | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f107,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f108,plain,
    ( spl0_19
    | spl0_13
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f103,f99,f67,f74,f105]) ).

fof(f67,plain,
    ( spl0_11
  <=> ! [X5,X7,X9,X8] :
        ( c_in(X5,X7,X9)
        | c_in(X5,X8,X9)
        | ~ c_in(X5,c_union(X7,X8,X9),X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f99,plain,
    ( spl0_18
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),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_18])]) ).

fof(f103,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),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_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(resolution,[],[f101,f68]) ).

fof(f68,plain,
    ( ! [X8,X9,X7,X5] :
        ( ~ c_in(X5,c_union(X7,X8,X9),X9)
        | c_in(X5,X8,X9)
        | c_in(X5,X7,X9) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f101,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),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_18 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f102,plain,
    ( spl0_18
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f97,f94,f30,f25,f99]) ).

fof(f25,plain,
    ( spl0_3
  <=> 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_3])]) ).

fof(f30,plain,
    ( spl0_4
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),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_4])]) ).

fof(f94,plain,
    ( spl0_17
  <=> ! [X2,X4,X3] :
        ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
        | ~ c_in(X4,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X4,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f97,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_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),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_4
    | ~ spl0_17 ),
    inference(resolution,[],[f95,f32]) ).

fof(f32,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f95,plain,
    ( ! [X2,X3,X4] :
        ( ~ c_in(X4,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
        | c_in(X4,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f96,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f10,f94]) ).

fof(f10,axiom,
    ! [X2,X3,X4] :
      ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
      | ~ c_in(X4,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X4,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f92,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f12,f90]) ).

fof(f12,axiom,
    ! [X6,X7] :
      ( c_in(X7,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X6,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f88,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f9,f86]) ).

fof(f9,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).

fof(f84,plain,
    ( ~ spl0_5
    | spl0_1
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f56,f49,f15,f35]) ).

fof(f35,plain,
    ( spl0_5
  <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f49,plain,
    ( spl0_8
  <=> v_B = c_Message_Oagent_OSpy ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f56,plain,
    ( ~ c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)
    | spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f17,f51]) ).

fof(f51,plain,
    ( v_B = c_Message_Oagent_OSpy
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f17,plain,
    ( ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f83,plain,
    ( ~ spl0_14
    | ~ spl0_8
    | spl0_13 ),
    inference(avatar_split_clause,[],[f78,f74,f49,f80]) ).

fof(f80,plain,
    ( spl0_14
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f78,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_8
    | spl0_13 ),
    inference(forward_demodulation,[],[f76,f51]) ).

fof(f76,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f77,plain,
    ( spl0_12
    | spl0_6
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f7,f74,f40,f71]) ).

fof(f40,plain,
    ( spl0_6
  <=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f69,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f13,f67]) ).

fof(f13,axiom,
    ! [X8,X9,X7,X5] :
      ( c_in(X5,X7,X9)
      | c_in(X5,X8,X9)
      | ~ c_in(X5,c_union(X7,X8,X9),X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f65,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f11,f63]) ).

fof(f11,axiom,
    ! [X3,X5] :
      ( ~ c_in(X5,c_Message_Oanalz(X3),tc_Message_Omsg)
      | c_in(X5,c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f61,plain,
    ( ~ spl0_9
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f53,f49,f45,f58]) ).

fof(f58,plain,
    ( spl0_9
  <=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(c_Message_Oagent_OSpy)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f53,plain,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(c_Message_Oagent_OSpy)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f46,f51]) ).

fof(f46,plain,
    ( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f52,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f6,f49,f45]) ).

fof(f6,axiom,
    ( v_B = c_Message_Oagent_OSpy
    | c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f43,plain,
    ~ spl0_6,
    inference(avatar_split_clause,[],[f5,f40]) ).

fof(f5,axiom,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f38,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f8,f35]) ).

fof(f8,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_0) ).

fof(f33,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f4,f30]) ).

fof(f4,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f28,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f3,f25]) ).

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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f23,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f2,f20]) ).

fof(f2,axiom,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f18,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f1,f15]) ).

fof(f1,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV301-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n014.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 21:16:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (20215)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (20216)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  % (20218)WARNING: value z3 for option sas not known
% 0.14/0.39  % (20217)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40  % (20219)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40  % (20221)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)
% 0.14/0.40  % (20220)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)
% 0.14/0.40  % (20222)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)
% 0.14/0.40  % (20218)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)
% 0.22/0.40  % (20220)First to succeed.
% 0.22/0.40  % (20218)Also succeeded, but the first one will report.
% 0.22/0.40  % (20221)Also succeeded, but the first one will report.
% 0.22/0.40  TRYING [1]
% 0.22/0.41  % (20220)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20215"
% 0.22/0.41  TRYING [2]
% 0.22/0.41  % (20220)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41  % (20220)------------------------------
% 0.22/0.41  % (20220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41  % (20220)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (20220)Memory used [KB]: 863
% 0.22/0.41  % (20220)Time elapsed: 0.012 s
% 0.22/0.41  % (20220)Instructions burned: 9 (million)
% 0.22/0.41  % (20215)Success in time 0.041 s
%------------------------------------------------------------------------------