TSTP Solution File: SWV302-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV302-1 : TPTP v8.1.2. 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 : n027.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 May  1 04:03:19 EDT 2024

% Result   : Unsatisfiable 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   30 (   6 unt;   0 def)
%            Number of atoms       :   58 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   56 (  28   ~;  23   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1581,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1516,f1534,f1535,f1536,f1578,f1580]) ).

fof(f1580,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1579]) ).

fof(f1579,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1496,f1529]) ).

fof(f1529,plain,
    ( ! [X24] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f1528,plain,
    ( spl0_8
  <=> ! [X24] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1496,plain,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1494]) ).

fof(f1494,plain,
    ( spl0_1
  <=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1578,plain,
    ( ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1577]) ).

fof(f1577,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1576,f1551]) ).

fof(f1551,plain,
    ( ~ c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(superposition,[],[f1485,f1515]) ).

fof(f1515,plain,
    ( v_NB = c_Message_Omsg_ONonce(v_NBa)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1513]) ).

fof(f1513,plain,
    ( spl0_5
  <=> v_NB = c_Message_Omsg_ONonce(v_NBa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1485,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162',cls_conjecture_2) ).

fof(f1576,plain,
    ( c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(resolution,[],[f1574,f1360]) ).

fof(f1360,axiom,
    ! [X54,X4] :
      ( ~ c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | c_in(X4,c_Event_Oused(X54),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

fof(f1574,plain,
    ( c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(resolution,[],[f1570,f1401]) ).

fof(f1401,axiom,
    ! [X65,X53,X64] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg)
      | c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162',cls_Message_OMPair__parts_1) ).

fof(f1570,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(resolution,[],[f1532,f1441]) ).

fof(f1441,axiom,
    ! [X63,X53,X64] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Oparts(X64),tc_Message_Omsg)
      | c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162',cls_Message_Oparts_OBody__dest_0) ).

fof(f1532,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1531]) ).

fof(f1531,plain,
    ( spl0_9
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1536,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f1488,f1524]) ).

fof(f1524,plain,
    ( spl0_7
  <=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1488,axiom,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162',cls_conjecture_5) ).

fof(f1535,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f1487,f1531]) ).

fof(f1487,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162',cls_conjecture_4) ).

fof(f1534,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1484,f1531,f1528,f1524]) ).

fof(f1484,axiom,
    ! [X24] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162',cls_conjecture_16) ).

fof(f1516,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1481,f1513,f1494]) ).

fof(f1481,axiom,
    ( v_NB = c_Message_Omsg_ONonce(v_NBa)
    | c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162',cls_conjecture_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWV302-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11  % 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
% 0.10/0.30  % Computer : n027.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 18:57:17 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.31  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/tmp/tmp.D2WcQCVKgn/Vampire---4.8_21162
% 0.61/0.82  % (21278)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.61/0.82  % (21275)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 Vampire---4 for (2994ds/34Mi)
% 0.61/0.82  % (21277)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.61/0.82  % (21279)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 Vampire---4 for (2994ds/34Mi)
% 0.61/0.82  % (21280)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.61/0.82  % (21282)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.61/0.82  % (21281)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 Vampire---4 for (2994ds/83Mi)
% 0.61/0.82  % (21276)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 Vampire---4 for (2994ds/51Mi)
% 0.61/0.82  % (21280)First to succeed.
% 0.61/0.83  % (21280)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83  % (21280)------------------------------
% 0.61/0.83  % (21280)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (21280)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (21280)Memory used [KB]: 2039
% 0.61/0.83  % (21280)Time elapsed: 0.008 s
% 0.61/0.83  % (21280)Instructions burned: 13 (million)
% 0.61/0.83  % (21280)------------------------------
% 0.61/0.83  % (21280)------------------------------
% 0.61/0.83  % (21271)Success in time 0.515 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------