TSTP Solution File: SWV299-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV299-1 : 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 : n014.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 23:09:25 EDT 2023

% Result   : Unsatisfiable 1.30s 0.75s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (  18 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  17   ~;  13   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  14 con; 0-3 aty)
%            Number of variables   :   28 (;  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5604,plain,
    $false,
    inference(subsumption_resolution,[],[f5603,f2787]) ).

fof(f2787,plain,
    sP0(v_evs3,c_Message_Omsg_ONonce(v_NB),v_A),
    inference(resolution,[],[f1939,f1484]) ).

fof(f1484,plain,
    ! [X54,X77,X12,X13] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OAgent(X13)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | sP0(X54,X77,X12) ),
    inference(cnf_transformation,[],[f1484_D]) ).

fof(f1484_D,plain,
    ! [X12,X77,X54] :
      ( ! [X13] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OAgent(X13)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
    <=> ~ sP0(X54,X77,X12) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1939,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1823,f1400]) ).

fof(f1400,axiom,
    ! [X65,X53,X64] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg)
      | c_in(X65,c_Message_Oparts(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170',cls_Message_OMPair__parts_0) ).

fof(f1823,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1739,f1400]) ).

fof(f1739,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1714,f1400]) ).

fof(f1714,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1698,f1440]) ).

fof(f1440,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/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f1698,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1478,f1437]) ).

fof(f1437,axiom,
    ! [X54,X53,X12,X13] :
      ( ~ c_in(c_Event_Oevent_OSays(X12,X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f1478,axiom,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170',cls_conjecture_3) ).

fof(f5603,plain,
    ~ sP0(v_evs3,c_Message_Omsg_ONonce(v_NB),v_A),
    inference(subsumption_resolution,[],[f5602,f1475]) ).

fof(f1475,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170',cls_conjecture_0) ).

fof(f5602,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ sP0(v_evs3,c_Message_Omsg_ONonce(v_NB),v_A) ),
    inference(subsumption_resolution,[],[f5600,f1476]) ).

fof(f1476,axiom,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170',cls_conjecture_1) ).

fof(f5600,plain,
    ( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ sP0(v_evs3,c_Message_Omsg_ONonce(v_NB),v_A) ),
    inference(resolution,[],[f2843,f1485]) ).

fof(f1485,plain,
    ! [X78,X54,X76,X77,X12] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X76,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X78),c_Message_Omsg_OAgent(X12))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | ~ sP0(X54,X77,X12) ),
    inference(general_splitting,[],[f1444,f1484_D]) ).

fof(f1444,axiom,
    ! [X78,X54,X76,X77,X12,X13] :
      ( c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OAgent(X13)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X76,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X78),c_Message_Omsg_OAgent(X12))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).

fof(f2843,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1944,f1400]) ).

fof(f1944,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1825,f1400]) ).

fof(f1825,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1763,f1400]) ).

fof(f1763,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1720,f1400]) ).

fof(f1720,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1700,f1440]) ).

fof(f1700,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f1479,f1437]) ).

fof(f1479,axiom,
    c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170',cls_conjecture_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.24/0.23  % Problem    : SWV299-1 : TPTP v8.1.2. Released v3.2.0.
% 0.24/0.24  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.25/0.45  % Computer : n014.cluster.edu
% 0.25/0.45  % Model    : x86_64 x86_64
% 0.25/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.45  % Memory   : 8042.1875MB
% 0.25/0.45  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.25/0.45  % CPULimit   : 300
% 0.25/0.45  % WCLimit    : 300
% 0.25/0.45  % DateTime   : Tue Aug 29 04:52:15 EDT 2023
% 0.25/0.45  % CPUTime    : 
% 0.25/0.45  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.25/0.46  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.n1ANYPHWwy/Vampire---4.8_6170
% 0.25/0.46  % (6278)Running in auto input_syntax mode. Trying TPTP
% 0.31/0.55  % (6284)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)
% 0.31/0.55  % (6285)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)
% 0.31/0.55  % (6281)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)
% 0.31/0.55  % (6283)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)
% 0.31/0.55  % (6282)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)
% 0.31/0.55  % (6280)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)
% 0.31/0.58  % (6279)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)
% 1.30/0.75  % (6285)First to succeed.
% 1.30/0.75  % (6285)Refutation found. Thanks to Tanya!
% 1.30/0.75  % SZS status Unsatisfiable for Vampire---4
% 1.30/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 1.30/0.75  % (6285)------------------------------
% 1.30/0.75  % (6285)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.30/0.75  % (6285)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.30/0.75  % (6285)Termination reason: Refutation
% 1.30/0.75  
% 1.30/0.75  % (6285)Memory used [KB]: 5756
% 1.30/0.75  % (6285)Time elapsed: 0.201 s
% 1.30/0.75  % (6285)------------------------------
% 1.30/0.75  % (6285)------------------------------
% 1.30/0.75  % (6278)Success in time 0.289 s
% 1.30/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------