TSTP Solution File: SWV308-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV308-2 : 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 : n009.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 10:49:09 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   70 (   8 unt;   0 def)
%            Number of atoms       :  154 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  146 (  62   ~;  73   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   13 (  12 usr;  12 prp; 0-3 aty)
%            Number of functors    :   34 (  34 usr;  17 con; 0-3 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,plain,
    $false,
    inference(avatar_sat_refutation,[],[f29,f40,f45,f58,f61,f66,f76,f82,f84,f86,f93,f95]) ).

fof(f95,plain,
    ( spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f94]) ).

fof(f94,plain,
    ( $false
    | spl0_2
    | ~ spl0_11 ),
    inference(resolution,[],[f92,f87]) ).

fof(f87,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_evs4)),tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f28,f6]) ).

fof(f6,axiom,
    ! [X8,X5] :
      ( c_in(X8,c_Message_Oparts(X5),tc_Message_Omsg)
      | ~ c_in(X8,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f28,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_evs4)),tc_Message_Omsg)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_2
  <=> 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_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f92,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_evs4)),tc_Message_Omsg)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl0_11
  <=> 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_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f93,plain,
    ( spl0_8
    | spl0_11
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f88,f51,f90,f69]) ).

fof(f69,plain,
    ( spl0_8
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f51,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_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f88,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_evs4)),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_evs4)),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(resolution,[],[f53,f2]) ).

fof(f2,axiom,
    ! [X2,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X4,X2),c_Message_Osynth(X5),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X4,X2),X5,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X4),X5,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).

fof(f53,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_evs4))),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f86,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f85]) ).

fof(f85,plain,
    ( $false
    | spl0_1
    | ~ spl0_9 ),
    inference(resolution,[],[f75,f30]) ).

fof(f30,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f24,f6]) ).

fof(f24,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f75,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_9
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f84,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f83]) ).

fof(f83,plain,
    ( $false
    | ~ spl0_10 ),
    inference(resolution,[],[f81,f11]) ).

fof(f11,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f81,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl0_10
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f82,plain,
    ( ~ spl0_4
    | spl0_10
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f77,f69,f79,f37]) ).

fof(f37,plain,
    ( spl0_4
  <=> c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f77,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ spl0_8 ),
    inference(resolution,[],[f71,f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f9,f6]) ).

fof(f9,axiom,
    ! [X3,X0] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f71,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f76,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f67,f63,f73,f69]) ).

fof(f63,plain,
    ( spl0_7
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f67,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),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_evs4)),tc_Message_Omsg)
    | ~ spl0_7 ),
    inference(resolution,[],[f65,f2]) ).

fof(f65,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f66,plain,
    ( spl0_7
    | spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f43,f55,f22,f63]) ).

fof(f55,plain,
    ( spl0_6
  <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f43,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
    inference(resolution,[],[f19,f15]) ).

fof(f15,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,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(X0,c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(resolution,[],[f3,f10]) ).

fof(f10,axiom,
    ! [X0,X1,X8,X9] :
      ( ~ c_in(X8,c_union(X0,X1,X9),X9)
      | c_in(X8,X1,X9)
      | c_in(X8,X0,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f3,axiom,
    ! [X2,X6,X5] :
      ( c_in(X6,c_union(c_Message_Osynth(c_Message_Oanalz(X5)),c_Message_Oparts(X5),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X6,c_Message_Oparts(c_insert(X2,X5,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X5)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f61,plain,
    ( ~ spl0_3
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | ~ spl0_3
    | spl0_6 ),
    inference(resolution,[],[f59,f48]) ).

fof(f48,plain,
    ( c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[],[f47,f5]) ).

fof(f5,axiom,
    ! [X2,X7,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X7),c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X2,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

fof(f47,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[],[f35,f4]) ).

fof(f4,axiom,
    ! [X2,X7,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X7),c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X7,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f35,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f59,plain,
    ( ~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | spl0_6 ),
    inference(resolution,[],[f57,f7]) ).

fof(f7,axiom,
    ! [X2,X5] :
      ( c_in(X2,c_Message_Osynth(X5),tc_Message_Omsg)
      | ~ c_in(X2,X5,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

fof(f57,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f58,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f42,f55,f26,f51]) ).

fof(f42,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),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_evs4)),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_evs4))),tc_Message_Omsg) ),
    inference(resolution,[],[f19,f14]) ).

fof(f14,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_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f45,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f44]) ).

fof(f44,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f39,f12]) ).

fof(f12,axiom,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f39,plain,
    ( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f40,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f31,f37,f33]) ).

fof(f31,plain,
    ( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[],[f20,f13]) ).

fof(f13,axiom,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(resolution,[],[f8,f1]) ).

fof(f1,axiom,
    ! [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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f8,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f29,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f16,f26,f22]) ).

fof(f16,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_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV308-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 21:00:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (23908)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (23912)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (23909)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (23911)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (23910)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (23913)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (23914)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (23915)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (23911)First to succeed.
% 0.14/0.38  Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38  Detected maximum model sizes of [max,max,1,2]
% 0.14/0.38  % (23914)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [1,1,1,1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  % (23911)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23908"
% 0.14/0.38  TRYING [2,1,1,1]
% 0.14/0.38  Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38  Detected maximum model sizes of [max,max,1,2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1,1,1,1]
% 0.14/0.38  % (23911)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (23911)------------------------------
% 0.14/0.38  % (23911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (23911)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (23911)Memory used [KB]: 848
% 0.14/0.38  % (23911)Time elapsed: 0.006 s
% 0.14/0.38  % (23911)Instructions burned: 7 (million)
% 0.14/0.38  % (23908)Success in time 0.021 s
%------------------------------------------------------------------------------