TSTP Solution File: SWV337-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV337-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n009.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 : Thu Aug 31 23:09:46 EDT 2023

% Result   : Unsatisfiable 68.54s 10.23s
% Output   : Refutation 68.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  21   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  14 con; 0-3 aty)
%            Number of variables   :   38 (;  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132829,plain,
    $false,
    inference(subsumption_resolution,[],[f132800,f132828]) ).

fof(f132828,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(subsumption_resolution,[],[f93232,f24184]) ).

fof(f24184,plain,
    ! [X21,X22,X20] : ~ c_in(c_Message_Omsg_OMPair(X20,c_Message_Omsg_OMPair(X21,c_Message_Omsg_OMPair(X22,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f3545,f1395]) ).

fof(f1395,axiom,
    ! [X65,X53,X64] :
      ( c_in(X65,c_Message_Oanalz(X64),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_Message_OMPair__analz_0) ).

fof(f3545,plain,
    ! [X14,X13] : ~ c_in(c_Message_Omsg_OMPair(X13,c_Message_Omsg_OMPair(X14,c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f1599,f1395]) ).

fof(f1599,plain,
    ! [X6] : ~ c_in(c_Message_Omsg_OMPair(X6,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f1486,f1395]) ).

fof(f1486,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_conjecture_6) ).

fof(f93232,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(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_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[],[f11965,f1443]) ).

fof(f1443,axiom,
    ! [X54,X53,X12] :
      ( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),X53),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_Public_OCrypt__Spy__analz__bad_0) ).

fof(f11965,plain,
    c_in(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_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f1920,f1396]) ).

fof(f1396,axiom,
    ! [X65,X53,X64] :
      ( c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_Message_OMPair__analz_1) ).

fof(f1920,plain,
    c_in(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_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,[],[f1902,f1480]) ).

fof(f1480,axiom,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_conjecture_0) ).

fof(f1902,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_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_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,[],[f1483,f1474]) ).

fof(f1474,axiom,
    ! [X54,X53,X13] :
      ( ~ c_in(X54,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

fof(f1483,axiom,
    c_in(c_Event_Oevent_OGets(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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_conjecture_3) ).

fof(f132800,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(resolution,[],[f12194,f11965]) ).

fof(f12194,plain,
    ! [X28,X29,X30] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X28),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X29),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X30),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | c_in(X28,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f2017,f1441]) ).

fof(f1441,axiom,
    ! [X4,X64] :
      ( ~ c_in(X4,c_Message_Oanalz(X64),tc_Message_Omsg)
      | c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f2017,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(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(subsumption_resolution,[],[f2004,f1480]) ).

fof(f2004,plain,
    ! [X2,X0,X1] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ 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_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[],[f1488,f1472]) ).

fof(f1472,axiom,
    ! [X78,X54,X77,X63,X12,X13] :
      ( c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X54,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X63),c_Message_Omsg_OMPair(X77,X78)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X63),c_Message_Omsg_OMPair(X77,X78)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OKey(X63))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_Yahalom_OA__trusts__YM3_0) ).

fof(f1488,axiom,
    ! [X82,X83,X24] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X24,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X24),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X82),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X83),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X82),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X24),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895',cls_conjecture_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.23  % Problem    : SWV337-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.25  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.26/0.46  % Computer : n009.cluster.edu
% 0.26/0.46  % Model    : x86_64 x86_64
% 0.26/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.46  % Memory   : 8042.1875MB
% 0.26/0.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.26/0.46  % CPULimit   : 300
% 0.26/0.46  % WCLimit    : 300
% 0.26/0.46  % DateTime   : Tue Aug 29 05:29:35 EDT 2023
% 0.26/0.47  % CPUTime    : 
% 0.26/0.47  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.26/0.47  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.lVlrnpltif/Vampire---4.8_14895
% 0.26/0.47  % (15056)Running in auto input_syntax mode. Trying TPTP
% 0.33/0.56  % (15065)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.33/0.56  % (15062)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.33/0.56  % (15064)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.33/0.56  % (15063)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.33/0.56  % (15061)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.33/0.56  % (15060)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.33/0.56  % (15059)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 68.37/10.21  % (15061)First to succeed.
% 68.54/10.23  % (15061)Refutation found. Thanks to Tanya!
% 68.54/10.23  % SZS status Unsatisfiable for Vampire---4
% 68.54/10.23  % SZS output start Proof for Vampire---4
% See solution above
% 68.54/10.23  % (15061)------------------------------
% 68.54/10.23  % (15061)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 68.54/10.23  % (15061)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 68.54/10.23  % (15061)Termination reason: Refutation
% 68.54/10.23  
% 68.54/10.23  % (15061)Memory used [KB]: 159784
% 68.54/10.23  % (15061)Time elapsed: 9.657 s
% 68.54/10.23  % (15061)------------------------------
% 68.54/10.23  % (15061)------------------------------
% 68.54/10.23  % (15056)Success in time 9.677 s
% 68.54/10.23  % Vampire---4.8 exiting
%------------------------------------------------------------------------------