TSTP Solution File: SWV361-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV361-2 : 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 : n011.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 18:56:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   91 (  38 unt;   0 def)
%            Number of atoms       :  157 (  25 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  143 (  77   ~;  61   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-3 aty)
%            Number of functors    :   48 (  48 usr;  36 con; 0-3 aty)
%            Number of variables   :  102 ( 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f518,plain,
    $false,
    inference(avatar_sat_refutation,[],[f125,f126,f251,f475,f512,f517]) ).

fof(f517,plain,
    spl23_7,
    inference(avatar_contradiction_clause,[],[f516]) ).

fof(f516,plain,
    ( $false
    | spl23_7 ),
    inference(subsumption_resolution,[],[f513,f194]) ).

fof(f194,plain,
    c_in(sF21,sF12,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f193,f37]) ).

fof(f37,plain,
    c_in(sF22,sF10,tc_Event_Oevent),
    inference(definition_folding,[],[f9,f21,f36,f35,f34,f33,f32,f14,f31,f30,f29,f28]) ).

fof(f28,plain,
    c_Message_Omsg_OAgent(v_B) = sF14,
    introduced(function_definition,[]) ).

fof(f29,plain,
    c_Public_OshrK(v_B) = sF15,
    introduced(function_definition,[]) ).

fof(f30,plain,
    c_Message_Omsg_OAgent(v_A) = sF16,
    introduced(function_definition,[]) ).

fof(f31,plain,
    c_Message_Omsg_ONonce(v_NA) = sF17,
    introduced(function_definition,[]) ).

fof(f14,plain,
    c_Message_Omsg_ONonce(v_NB) = sF3,
    introduced(function_definition,[]) ).

fof(f32,plain,
    c_Message_Omsg_OMPair(sF17,sF3) = sF18,
    introduced(function_definition,[]) ).

fof(f33,plain,
    c_Message_Omsg_OMPair(sF16,sF18) = sF19,
    introduced(function_definition,[]) ).

fof(f34,plain,
    c_Message_Omsg_OCrypt(sF15,sF19) = sF20,
    introduced(function_definition,[]) ).

fof(f35,plain,
    sF21 = c_Message_Omsg_OMPair(sF14,sF20),
    introduced(function_definition,[]) ).

fof(f36,plain,
    c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,sF21) = sF22,
    introduced(function_definition,[]) ).

fof(f21,plain,
    c_List_Oset(v_evs3,tc_Event_Oevent) = sF10,
    introduced(function_definition,[]) ).

fof(f9,axiom,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f193,plain,
    ( ~ c_in(sF22,sF10,tc_Event_Oevent)
    | c_in(sF21,sF12,tc_Message_Omsg) ),
    inference(superposition,[],[f83,f36]) ).

fof(f83,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),sF10,tc_Event_Oevent)
      | c_in(X2,sF12,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f82,f25]) ).

fof(f25,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3) = sF12,
    introduced(function_definition,[]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),sF10,tc_Event_Oevent) ),
    inference(superposition,[],[f1,f21]) ).

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_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__spies_0) ).

fof(f513,plain,
    ( ~ c_in(sF21,sF12,tc_Message_Omsg)
    | spl23_7 ),
    inference(resolution,[],[f133,f127]) ).

fof(f127,plain,
    ! [X0] :
      ( c_in(sF20,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF21,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f48,f3]) ).

fof(f3,axiom,
    ! [X2,X5] :
      ( c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg)
      | ~ c_in(X2,X5,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f48,plain,
    ! [X3] :
      ( ~ c_in(sF21,c_Message_Oparts(X3),tc_Message_Omsg)
      | c_in(sF20,c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(superposition,[],[f2,f35]) ).

fof(f2,axiom,
    ! [X2,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f133,plain,
    ( ~ c_in(sF20,c_Message_Oparts(sF12),tc_Message_Omsg)
    | spl23_7 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl23_7
  <=> c_in(sF20,c_Message_Oparts(sF12),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).

fof(f512,plain,
    ( ~ spl23_7
    | ~ spl23_20 ),
    inference(avatar_split_clause,[],[f511,f249,f132]) ).

fof(f249,plain,
    ( spl23_20
  <=> ! [X2,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(X2,sF3))),c_Message_Oparts(sF12),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).

fof(f511,plain,
    ( ~ c_in(sF20,c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_20 ),
    inference(forward_demodulation,[],[f510,f34]) ).

fof(f510,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(sF15,sF19),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_20 ),
    inference(superposition,[],[f506,f29]) ).

fof(f506,plain,
    ( ! [X3] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),sF19),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_20 ),
    inference(forward_demodulation,[],[f505,f33]) ).

fof(f505,plain,
    ( ! [X3] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(sF16,sF18)),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_20 ),
    inference(superposition,[],[f484,f30]) ).

fof(f484,plain,
    ( ! [X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF18)),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_20 ),
    inference(superposition,[],[f250,f32]) ).

fof(f250,plain,
    ( ! [X2,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(X2,sF3))),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_20 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f475,plain,
    ( ~ spl23_1
    | ~ spl23_19 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f474,plain,
    ( $false
    | ~ spl23_1
    | ~ spl23_19 ),
    inference(subsumption_resolution,[],[f473,f60]) ).

fof(f60,plain,
    ( c_in(sF7,c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_1 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl23_1
  <=> c_in(sF7,c_Message_Oparts(sF12),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).

fof(f473,plain,
    ( ~ c_in(sF7,c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_19 ),
    inference(forward_demodulation,[],[f471,f18]) ).

fof(f18,plain,
    c_Message_Omsg_OCrypt(sF1,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f471,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(sF1,sF6),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_19 ),
    inference(superposition,[],[f455,f12]) ).

fof(f12,plain,
    c_Public_OshrK(v_Ba) = sF1,
    introduced(function_definition,[]) ).

fof(f455,plain,
    ( ! [X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),sF6),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_19 ),
    inference(forward_demodulation,[],[f452,f17]) ).

fof(f17,plain,
    sF6 = c_Message_Omsg_OMPair(sF2,sF5),
    introduced(function_definition,[]) ).

fof(f452,plain,
    ( ! [X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(sF2,sF5)),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_19 ),
    inference(superposition,[],[f446,f13]) ).

fof(f13,plain,
    c_Message_Omsg_OAgent(v_Aa) = sF2,
    introduced(function_definition,[]) ).

fof(f446,plain,
    ( ! [X0,X1] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF5)),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_19 ),
    inference(superposition,[],[f247,f16]) ).

fof(f16,plain,
    sF5 = c_Message_Omsg_OMPair(sF3,sF4),
    introduced(function_definition,[]) ).

fof(f247,plain,
    ( ! [X3,X4,X5] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(sF3,X5))),c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ spl23_19 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl23_19
  <=> ! [X4,X5,X3] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(sF3,X5))),c_Message_Oparts(sF12),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).

fof(f251,plain,
    ( spl23_19
    | spl23_20 ),
    inference(avatar_split_clause,[],[f244,f249,f246]) ).

fof(f244,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(X1),c_Message_Omsg_OMPair(X2,sF3))),c_Message_Oparts(sF12),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(sF3,X5))),c_Message_Oparts(sF12),tc_Message_Omsg) ),
    inference(subsumption_resolution,[],[f219,f27]) ).

fof(f27,plain,
    ~ c_in(sF3,sF13,tc_Message_Omsg),
    inference(definition_folding,[],[f10,f26,f25,f14]) ).

fof(f26,plain,
    c_Message_Oanalz(sF12) = sF13,
    introduced(function_definition,[]) ).

fof(f10,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f219,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_in(sF3,sF13,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_OMPair(X2,sF3))),c_Message_Oparts(sF12),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(sF3,X5))),c_Message_Oparts(sF12),tc_Message_Omsg) ),
    inference(superposition,[],[f119,f14]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1,X6,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(X6,c_Message_Omsg_ONonce(X2)))),c_Message_Oparts(sF12),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_OMPair(c_Message_Omsg_ONonce(X2),X3))),c_Message_Oparts(sF12),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X2),sF13,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f118,f26]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ 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_ONonce(X2),X3))),c_Message_Oparts(sF12),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(sF12),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(X6,c_Message_Omsg_ONonce(X2)))),c_Message_Oparts(sF12),tc_Message_Omsg) ),
    inference(subsumption_resolution,[],[f117,f24]) ).

fof(f24,plain,
    c_in(v_evs3,c_Yahalom_Oyahalom,sF11),
    inference(definition_folding,[],[f7,f23]) ).

fof(f23,plain,
    tc_List_Olist(tc_Event_Oevent) = sF11,
    introduced(function_definition,[]) ).

fof(f7,axiom,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f117,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( c_in(c_Message_Omsg_ONonce(X2),c_Message_Oanalz(sF12),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_OMPair(c_Message_Omsg_ONonce(X2),X3))),c_Message_Oparts(sF12),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(X6,c_Message_Omsg_ONonce(X2)))),c_Message_Oparts(sF12),tc_Message_Omsg)
      | ~ c_in(v_evs3,c_Yahalom_Oyahalom,sF11) ),
    inference(superposition,[],[f38,f25]) ).

fof(f38,plain,
    ! [X3,X10,X0,X1,X8,X6,X9,X7] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),X10))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(X3,c_Yahalom_Oyahalom,sF11)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X6,c_Message_Omsg_ONonce(X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f6,f23]) ).

fof(f6,axiom,
    ! [X3,X10,X0,X1,X8,X6,X9,X7] :
      ( c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X6,c_Message_Omsg_ONonce(X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),X10))),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)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).

fof(f126,plain,
    ( ~ spl23_2
    | spl23_1 ),
    inference(avatar_split_clause,[],[f67,f58,f62]) ).

fof(f62,plain,
    ( spl23_2
  <=> c_in(sF8,sF13,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).

fof(f67,plain,
    ( c_in(sF7,c_Message_Oparts(sF12),tc_Message_Omsg)
    | ~ c_in(sF8,sF13,tc_Message_Omsg) ),
    inference(superposition,[],[f53,f39]) ).

fof(f39,plain,
    c_Message_Oparts(sF13) = c_Message_Oparts(sF12),
    inference(superposition,[],[f4,f26]) ).

fof(f4,axiom,
    ! [X5] : c_Message_Oparts(X5) = c_Message_Oparts(c_Message_Oanalz(X5)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).

fof(f53,plain,
    ! [X0] :
      ( c_in(sF7,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF8,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f45,f3]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ c_in(sF8,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(sF7,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f2,f19]) ).

fof(f19,plain,
    c_Message_Omsg_OMPair(sF0,sF7) = sF8,
    introduced(function_definition,[]) ).

fof(f125,plain,
    spl23_2,
    inference(avatar_contradiction_clause,[],[f124]) ).

fof(f124,plain,
    ( $false
    | spl23_2 ),
    inference(subsumption_resolution,[],[f123,f64]) ).

fof(f64,plain,
    ( ~ c_in(sF8,sF13,tc_Message_Omsg)
    | spl23_2 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f123,plain,
    c_in(sF8,sF13,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f122,f22]) ).

fof(f22,plain,
    c_in(sF9,sF10,tc_Event_Oevent),
    inference(definition_folding,[],[f8,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).

fof(f11,plain,
    c_Message_Omsg_OAgent(v_Ba) = sF0,
    introduced(function_definition,[]) ).

fof(f15,plain,
    c_Message_Omsg_ONonce(v_NBa) = sF4,
    introduced(function_definition,[]) ).

fof(f20,plain,
    sF9 = c_Event_Oevent_OGets(c_Message_Oagent_OServer,sF8),
    introduced(function_definition,[]) ).

fof(f8,axiom,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f122,plain,
    ( ~ c_in(sF9,sF10,tc_Event_Oevent)
    | c_in(sF8,sF13,tc_Message_Omsg) ),
    inference(superposition,[],[f106,f20]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF10,tc_Event_Oevent)
      | c_in(X1,sF13,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f105,f26]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF10,tc_Event_Oevent)
      | c_in(X1,c_Message_Oanalz(sF12),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f104,f25]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),sF10,tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f103,f24]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF10,tc_Event_Oevent)
      | ~ c_in(v_evs3,c_Yahalom_Oyahalom,sF11)
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f101,f23]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),sF10,tc_Event_Oevent) ),
    inference(superposition,[],[f5,f21]) ).

fof(f5,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(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)
      | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWV361-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 19:19:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (19316)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (19332)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (19332)First to succeed.
% 0.20/0.53  % (19309)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (19309)Also succeeded, but the first one will report.
% 0.20/0.53  % (19332)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (19332)------------------------------
% 0.20/0.53  % (19332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19332)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (19332)Memory used [KB]: 5884
% 0.20/0.53  % (19332)Time elapsed: 0.112 s
% 0.20/0.53  % (19332)Instructions burned: 25 (million)
% 0.20/0.53  % (19332)------------------------------
% 0.20/0.53  % (19332)------------------------------
% 0.20/0.53  % (19306)Success in time 0.177 s
%------------------------------------------------------------------------------