TSTP Solution File: SWV332-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV332-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 : Wed May  1 04:03:31 EDT 2024

% Result   : Unsatisfiable 0.61s 0.84s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   65 (   9 unt;   0 def)
%            Number of atoms       :  192 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  223 (  96   ~; 118   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   12 (  10 usr;  10 prp; 0-3 aty)
%            Number of functors    :   31 (  31 usr;  16 con; 0-4 aty)
%            Number of variables   :  143 ( 143   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f145,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f35,f37,f52,f75,f105,f121,f123,f140,f144]) ).

fof(f144,plain,
    ( spl0_9
    | spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f142,f138,f22,f18,f97]) ).

fof(f97,plain,
    ( spl0_9
  <=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f18,plain,
    ( spl0_1
  <=> v_B = v_Ba ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f22,plain,
    ( spl0_2
  <=> v_A = v_Aa ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f138,plain,
    ( spl0_14
  <=> ! [X0,X1] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
        | v_Ba = X0
        | c_in(X0,c_Event_Obad,tc_Message_Oagent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f142,plain,
    ( v_B = v_Ba
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(resolution,[],[f139,f124]) ).

fof(f124,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(superposition,[],[f14,f23]) ).

fof(f23,plain,
    ( v_A = v_Aa
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f14,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_conjecture_8) ).

fof(f139,plain,
    ( ! [X0,X1] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
        | v_Ba = X0
        | c_in(X0,c_Event_Obad,tc_Message_Oagent) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f140,plain,
    ( spl0_5
    | ~ spl0_3
    | spl0_14
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f136,f32,f138,f28,f45]) ).

fof(f45,plain,
    ( spl0_5
  <=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f28,plain,
    ( spl0_3
  <=> c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f32,plain,
    ( spl0_4
  <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f136,plain,
    ( ! [X0,X1] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
        | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | c_in(X0,c_Event_Obad,tc_Message_Oagent)
        | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
        | v_Ba = X0 )
    | ~ spl0_4 ),
    inference(resolution,[],[f90,f42]) ).

fof(f42,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),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_evs4)),tc_Message_Omsg)
    | ~ spl0_4 ),
    inference(resolution,[],[f38,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Message_Oanalz__conj__parts_0) ).

fof(f38,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_4 ),
    inference(resolution,[],[f34,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Message_OMPair__analz_1) ).

fof(f34,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X6,X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),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_OKey(X2))),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))
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(X4,c_Event_Obad,tc_Message_Oagent)
      | X0 = X5 ),
    inference(duplicate_literal_removal,[],[f83]) ).

fof(f83,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X2))),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))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X6,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))
      | c_in(X4,c_Event_Obad,tc_Message_Oagent)
      | X0 = X5 ),
    inference(resolution,[],[f6,f56]) ).

fof(f56,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(X5,tc_Event_Oevent),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_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | X1 = X7 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f53,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ 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_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X1 = X7
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f5,f9]) ).

fof(f9,axiom,
    ! [X3,X10,X0,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(X11,X12)))),X13)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(X7,X8)))),X0)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | X5 = X10
      | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Yahalom_Ounique__session__keys_1) ).

fof(f5,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X6))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X3,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(X7,X8)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Yahalom_OA__trusts__YM3_0) ).

fof(f6,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X3,X5,X6,X4)),c_Message_Omsg_ONonce(v_sko__2jj(X3,X5,X6,X4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X6))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X5,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Yahalom_OB__trusts__YM4__shrK_0) ).

fof(f123,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f122,f119,f32,f22,f45]) ).

fof(f119,plain,
    ( spl0_12
  <=> ! [X0,X3,X2,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_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
        | v_A = X0
        | c_in(X0,c_Event_Obad,tc_Message_Oagent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f122,plain,
    ( v_A = v_Aa
    | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(resolution,[],[f120,f42]) ).

fof(f120,plain,
    ( ! [X2,X3,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_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
        | v_A = X0
        | c_in(X0,c_Event_Obad,tc_Message_Oagent) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f121,plain,
    ( spl0_12
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f117,f97,f28,f119]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(v_evs4,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_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | v_A = X0 ),
    inference(resolution,[],[f89,f14]) ).

fof(f89,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X6,X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(X4,c_Event_Obad,tc_Message_Oagent)
      | X1 = X4 ),
    inference(duplicate_literal_removal,[],[f84]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X2))),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))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X6,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))
      | c_in(X4,c_Event_Obad,tc_Message_Oagent)
      | X1 = X4 ),
    inference(resolution,[],[f6,f55]) ).

fof(f55,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(X5,tc_Event_Oevent),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_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | X0 = X6 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f54,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ 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_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | X0 = X6
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f5,f8]) ).

fof(f8,axiom,
    ! [X3,X10,X0,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(X11,X12)))),X13)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(X7,X8)))),X0)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | X3 = X9
      | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Yahalom_Ounique__session__keys_0) ).

fof(f105,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f104]) ).

fof(f104,plain,
    ( $false
    | ~ spl0_9 ),
    inference(resolution,[],[f99,f15]) ).

fof(f15,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_conjecture_9) ).

fof(f99,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f75,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f73]) ).

fof(f73,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f70,f13]) ).

fof(f13,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_conjecture_6) ).

fof(f70,plain,
    ( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(resolution,[],[f67,f3]) ).

fof(f67,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(resolution,[],[f51,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Message_OMPair__analz_0) ).

fof(f51,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_6
  <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f52,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f43,f32,f49,f45]) ).

fof(f43,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_4 ),
    inference(resolution,[],[f4,f38]) ).

fof(f4,axiom,
    ! [X3,X0,X4] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | ~ c_in(X3,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Public_OCrypt__Spy__analz__bad_0) ).

fof(f37,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f36]) ).

fof(f36,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f30,f10]) ).

fof(f10,axiom,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_conjecture_0) ).

fof(f30,plain,
    ( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f35,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f26,f32,f28]) ).

fof(f26,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f7,f12]) ).

fof(f12,axiom,
    c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_conjecture_3) ).

fof(f7,axiom,
    ! [X0,X4,X5] :
      ( ~ c_in(c_Event_Oevent_OGets(X5,X0),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

fof(f25,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f16,f22,f18]) ).

fof(f16,plain,
    ( v_A != v_Aa
    | v_B != v_Ba ),
    inference(equality_resolution,[],[f11]) ).

fof(f11,axiom,
    ! [X14] :
      ( v_A != v_Aa
      | v_B != v_Ba
      | v_X != X14 ),
    file('/export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720',cls_conjecture_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWV332-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n021.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:42:26 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.wCXD6nKjKB/Vampire---4.8_25720
% 0.61/0.83  % (25938)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.83  % (25940)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.83  % (25933)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.83  % (25934)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.83  % (25935)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.83  % (25938)Refutation not found, incomplete strategy% (25938)------------------------------
% 0.61/0.83  % (25938)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (25938)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (25938)Memory used [KB]: 978
% 0.61/0.83  % (25938)Time elapsed: 0.004 s
% 0.61/0.83  % (25938)Instructions burned: 4 (million)
% 0.61/0.83  % (25936)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.83  % (25938)------------------------------
% 0.61/0.83  % (25938)------------------------------
% 0.61/0.83  % (25937)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.83  % (25939)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.83  % (25940)Refutation not found, incomplete strategy% (25940)------------------------------
% 0.61/0.83  % (25940)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (25940)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (25940)Memory used [KB]: 1070
% 0.61/0.83  % (25940)Time elapsed: 0.006 s
% 0.61/0.83  % (25940)Instructions burned: 8 (million)
% 0.61/0.83  % (25940)------------------------------
% 0.61/0.83  % (25940)------------------------------
% 0.61/0.83  % (25941)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.84  % (25942)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.84  % (25934)First to succeed.
% 0.61/0.84  % (25933)Also succeeded, but the first one will report.
% 0.61/0.84  % (25937)Also succeeded, but the first one will report.
% 0.61/0.84  % (25934)Refutation found. Thanks to Tanya!
% 0.61/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.85  % (25934)------------------------------
% 0.61/0.85  % (25934)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.85  % (25934)Termination reason: Refutation
% 0.61/0.85  
% 0.61/0.85  % (25934)Memory used [KB]: 1104
% 0.61/0.85  % (25934)Time elapsed: 0.015 s
% 0.61/0.85  % (25934)Instructions burned: 14 (million)
% 0.61/0.85  % (25934)------------------------------
% 0.61/0.85  % (25934)------------------------------
% 0.61/0.85  % (25905)Success in time 0.466 s
% 0.61/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------