TSTP Solution File: SWV346-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV346-2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 05:55:17 EDT 2024

% Result   : Unsatisfiable 0.70s 0.91s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   22 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  14   ~;   9   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  14 con; 0-3 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(resolution,[],[f21,f4]) ).

fof(f4,axiom,
    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(v_na,v_nb)))),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_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f21,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(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,X2)))),X3)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference(subsumption_resolution,[],[f20,f2]) ).

fof(f2,axiom,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f20,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(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,X2)))),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)) ),
    inference(resolution,[],[f11,f3]) ).

fof(f3,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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f11,plain,
    ! [X2,X3,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(c_Message_Omsg_ONonce(v_NA),X8)))),X9)),c_List_Oset(X5,tc_Event_Oevent),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(X2),c_Message_Omsg_OMPair(v_na,X3)))),X4)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( sQ0_eqProxy(X4,X9)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(equality_proxy_replacement,[],[f1,f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f1,axiom,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( X4 = X9
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_2) ).

fof(f8,plain,
    ~ sQ0_eqProxy(c_Message_Omsg_ONonce(v_NA),v_na),
    inference(equality_proxy_replacement,[],[f5,f6]) ).

fof(f5,axiom,
    c_Message_Omsg_ONonce(v_NA) != v_na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV346-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15  % 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
% 0.15/0.39  % Computer : n002.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Sun May 19 07:01:53 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.15/0.39  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.39  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/benchmark/theBenchmark.p
% 0.70/0.91  % (14432)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 (2994ds/34Mi)
% 0.70/0.91  % (14431)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.70/0.91  % (14430)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.70/0.91  % (14433)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.70/0.91  % (14428)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 (2994ds/34Mi)
% 0.70/0.91  % (14429)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 (2994ds/51Mi)
% 0.70/0.91  % (14434)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 (2994ds/83Mi)
% 0.70/0.91  % (14435)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 (2994ds/56Mi)
% 0.70/0.91  % (14433)Also succeeded, but the first one will report.
% 0.70/0.91  % (14428)Also succeeded, but the first one will report.
% 0.70/0.91  % (14432)First to succeed.
% 0.70/0.91  % (14431)Also succeeded, but the first one will report.
% 0.70/0.91  % (14435)Also succeeded, but the first one will report.
% 0.70/0.91  % (14430)Also succeeded, but the first one will report.
% 0.70/0.91  % (14429)Also succeeded, but the first one will report.
% 0.70/0.91  % (14432)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14427"
% 0.70/0.91  % (14434)Also succeeded, but the first one will report.
% 0.70/0.91  % (14432)Refutation found. Thanks to Tanya!
% 0.70/0.91  % SZS status Unsatisfiable for theBenchmark
% 0.70/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.91  % (14432)------------------------------
% 0.70/0.91  % (14432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (14432)Termination reason: Refutation
% 0.70/0.91  
% 0.70/0.91  % (14432)Memory used [KB]: 981
% 0.70/0.91  % (14432)Time elapsed: 0.003 s
% 0.70/0.91  % (14432)Instructions burned: 3 (million)
% 0.70/0.91  % (14427)Success in time 0.512 s
% 0.70/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------