TSTP Solution File: SWV332-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:56:25 EDT 2022

% Result   : Unsatisfiable 0.16s 0.49s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   50 (  10 unt;   0 def)
%            Number of atoms       :  113 (  16 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  119 (  56   ~;  59   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :   31 (  31 usr;  16 con; 0-4 aty)
%            Number of variables   :   80 (  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f41,f56,f60,f70]) ).

fof(f70,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f67,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f67,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_4 ),
    inference(resolution,[],[f66,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

fof(f66,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_4 ),
    inference(resolution,[],[f64,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f64,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_4 ),
    inference(resolution,[],[f63,f28]) ).

fof(f28,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),
    inference(resolution,[],[f27,f3]) ).

fof(f27,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),
    inference(subsumption_resolution,[],[f26,f10]) ).

fof(f10,axiom,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f26,plain,
    ( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | 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) ),
    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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

fof(f63,plain,
    ( ! [X0,X1] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
        | c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) )
    | ~ spl0_4 ),
    inference(resolution,[],[f40,f4]) ).

fof(f4,axiom,
    ! [X3,X0,X4] :
      ( ~ c_in(X3,c_Event_Obad,tc_Message_Oagent)
      | ~ 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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__Spy__analz__bad_0) ).

fof(f40,plain,
    ( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_4
  <=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f60,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f59]) ).

fof(f59,plain,
    ( $false
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f53,f20]) ).

fof(f20,plain,
    ( v_A != v_Aa
    | spl0_1 ),
    inference(avatar_component_clause,[],[f18]) ).

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

fof(f53,plain,
    ( v_A = v_Aa
    | ~ spl0_3 ),
    inference(resolution,[],[f51,f44]) ).

fof(f44,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X7,X8)))),X9)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
        | v_Aa = X5 )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f43,f10]) ).

fof(f43,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X7,X8)))),X9)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
        | v_Aa = X5 )
    | ~ spl0_3 ),
    inference(resolution,[],[f36,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)
      | X3 = X9
      | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_0) ).

fof(f36,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_3
  <=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f51,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),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_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(subsumption_resolution,[],[f49,f15]) ).

fof(f15,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

fof(f49,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),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_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolution,[],[f48,f14]) ).

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/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(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(c_Message_Omsg_ONonce(v_sko__2ji(X0,X1,X2,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(X0,X1,X2,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolution,[],[f6,f10]) ).

fof(f6,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(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(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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OB__trusts__YM4__shrK_0) ).

fof(f56,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f52,f34,f22]) ).

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

fof(f52,plain,
    ( v_B = v_Ba
    | ~ spl0_3 ),
    inference(resolution,[],[f51,f45]) ).

fof(f45,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(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)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
        | v_Ba = X1 )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f42,f10]) ).

fof(f42,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( v_Ba = X1
        | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
        | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(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)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) )
    | ~ spl0_3 ),
    inference(resolution,[],[f36,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,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)
      | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ 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)
      | X5 = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_1) ).

fof(f41,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f32,f38,f34]) ).

fof(f32,plain,
    ( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f31,f10]) ).

fof(f31,plain,
    ( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f30,f28]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X3))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).

fof(f5,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( ~ 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(X3,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(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)))),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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).

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

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

fof(f11,axiom,
    ! [X14] :
      ( v_A != v_Aa
      | v_X != X14
      | v_B != v_Ba ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n015.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 19:29:06 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.46  % (26293)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.46  % (26277)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47  % (26294)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.47  % (26286)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.47  % (26285)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.48  % (26281)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.48  % (26282)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.48  % (26276)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.48  % (26294)First to succeed.
% 0.16/0.48  % (26278)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48  % (26279)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.48  % (26279)Instruction limit reached!
% 0.16/0.48  % (26279)------------------------------
% 0.16/0.48  % (26279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (26279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (26279)Termination reason: Unknown
% 0.16/0.48  % (26279)Termination phase: Property scanning
% 0.16/0.48  
% 0.16/0.48  % (26279)Memory used [KB]: 895
% 0.16/0.48  % (26279)Time elapsed: 0.002 s
% 0.16/0.48  % (26279)Instructions burned: 2 (million)
% 0.16/0.48  % (26279)------------------------------
% 0.16/0.48  % (26279)------------------------------
% 0.16/0.48  TRYING [1]
% 0.16/0.49  % (26294)Refutation found. Thanks to Tanya!
% 0.16/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49  % (26294)------------------------------
% 0.16/0.49  % (26294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (26294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (26294)Termination reason: Refutation
% 0.16/0.49  
% 0.16/0.49  % (26294)Memory used [KB]: 5628
% 0.16/0.49  % (26294)Time elapsed: 0.071 s
% 0.16/0.49  % (26294)Instructions burned: 8 (million)
% 0.16/0.49  % (26294)------------------------------
% 0.16/0.49  % (26294)------------------------------
% 0.16/0.49  % (26270)Success in time 0.173 s
%------------------------------------------------------------------------------