TSTP Solution File: SWV353-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV353-2 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 : Tue May 21 05:55:20 EDT 2024

% Result   : Unsatisfiable 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   9 unt;   0 def)
%            Number of atoms       :   54 (   5 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   64 (  36   ~;  25   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
%            Number of variables   :   91 (  91   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(avatar_sat_refutation,[],[f22,f24,f28]) ).

fof(f28,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f27]) ).

fof(f27,plain,
    ( $false
    | ~ spl1_1 ),
    inference(resolution,[],[f26,f2]) ).

fof(f2,axiom,
    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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f26,plain,
    ( ! [X2,X3,X0,X1] : ~ 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(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),X3)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f25,f1]) ).

fof(f1,axiom,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f25,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ 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(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),X3)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
        | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl1_1 ),
    inference(resolution,[],[f18,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).

fof(f18,plain,
    ( ! [X8,X6,X7,X5] : ~ c_in(c_Event_Oevent_OGets(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl1_1
  <=> ! [X6,X5,X8,X7] : ~ c_in(c_Event_Oevent_OGets(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f24,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f23]) ).

fof(f23,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f21,f3]) ).

fof(f3,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_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f21,plain,
    ( ! [X2,X3,X0,X1,X4] : ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl1_2
  <=> ! [X4,X0,X3,X2,X1] : ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f22,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f15,f20,f17]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f14,f1]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f13,f4]) ).

fof(f4,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f13,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),X0))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X7,c_Message_Omsg_OMPair(X8,c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),X0))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f10,f11]) ).

fof(f11,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X15,X12,X13] :
      ( sQ0_eqProxy(X12,X15)
      | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X13,X14,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X15),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(equality_proxy_replacement,[],[f7,f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f7,axiom,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X15,X12,X13] :
      ( X12 = X15
      | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X13,X14,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X15),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).

fof(f10,plain,
    ~ sQ0_eqProxy(v_NAa,v_NA),
    inference(equality_proxy_replacement,[],[f8,f9]) ).

fof(f8,plain,
    v_NAa != v_NA,
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( v_NAa != v_NA
      | c_Message_Omsg_OKey(v_K) != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWV353-2 : TPTP v8.2.0. Released v3.2.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 07:13:07 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.73  % (2868)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.73  % (2861)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 theBenchmark for (2996ds/34Mi)
% 0.57/0.73  % (2863)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.73  % (2868)First to succeed.
% 0.57/0.73  % (2862)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 theBenchmark for (2996ds/51Mi)
% 0.57/0.73  % (2864)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.73  % (2865)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 theBenchmark for (2996ds/34Mi)
% 0.57/0.73  % (2867)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 theBenchmark for (2996ds/83Mi)
% 0.57/0.73  % (2868)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2860"
% 0.57/0.73  % (2868)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Unsatisfiable for theBenchmark
% 0.57/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.73  % (2868)------------------------------
% 0.57/0.73  % (2868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (2868)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (2868)Memory used [KB]: 978
% 0.57/0.73  % (2868)Time elapsed: 0.003 s
% 0.57/0.73  % (2868)Instructions burned: 4 (million)
% 0.57/0.73  % (2860)Success in time 0.378 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------