TSTP Solution File: SWV796-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV796-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n025.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 23:29:46 EDT 2023

% Result   : Unsatisfiable 3.80s 0.95s
% Output   : Refutation 3.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (  12 unt;   0 def)
%            Number of atoms       :   26 (   2 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  16 con; 0-3 aty)
%            Number of variables   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10400,plain,
    $false,
    inference(subsumption_resolution,[],[f10221,f10399]) ).

fof(f10399,plain,
    ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(backward_demodulation,[],[f7976,f10222]) ).

fof(f10222,plain,
    v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),
    inference(unit_resulting_resolution,[],[f593,f595,f591,f558]) ).

fof(f558,axiom,
    ! [X2,X3,X0,X54,X4,X23] :
      ( hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
      | ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X23),c_Message_Omsg_OAgent(X2))) = X0
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X54,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X23),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_cert__A__form_1) ).

fof(f591,axiom,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_conjecture_0) ).

fof(f595,axiom,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_conjecture_4) ).

fof(f593,axiom,
    ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_conjecture_2) ).

fof(f7976,plain,
    ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(unit_resulting_resolution,[],[f594,f595,f592,f596,f597,f525]) ).

fof(f525,axiom,
    ! [X2,X3,X54,X62,X4,X23] :
      ( hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
      | ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X23),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X23,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X62),c_Message_Omsg_ONonce(X62))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
      | hBOOL(c_in(c_Event_Oevent_OSays(X2,X4,c_Message_Omsg_OCrypt(X23,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X62),c_Message_Omsg_ONonce(X62)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X54,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X23),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X23),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_B__trusts__NS5__lemma_0) ).

fof(f597,axiom,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_conjecture_6) ).

fof(f596,axiom,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_conjecture_5) ).

fof(f592,axiom,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_conjecture_1) ).

fof(f594,axiom,
    ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_conjecture_3) ).

fof(f10221,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(unit_resulting_resolution,[],[f593,f595,f591,f524]) ).

fof(f524,axiom,
    ! [X2,X3,X0,X54,X4,X23] :
      ( hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
      | ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X54,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X23),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
      | hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X54,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X23),X0))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697',cls_A__trusts__NS2_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16  % Problem    : SWV796-1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.17  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38  % Computer : n025.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Tue Aug 29 05:29:40 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.16/0.38  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.38  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Y75TjfFu3R/Vampire---4.8_12697
% 0.16/0.39  % (12804)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47  % (12808)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.48  % (12810)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.48  % (12809)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.48  % (12805)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.48  % (12807)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.48  % (12811)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.48  % (12806)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.52  % (12805)Refutation not found, incomplete strategy% (12805)------------------------------
% 0.23/0.52  % (12805)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.52  % (12805)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.52  % (12805)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.52  
% 0.23/0.52  % (12805)Memory used [KB]: 7036
% 0.23/0.52  % (12805)Time elapsed: 0.044 s
% 0.23/0.52  % (12805)------------------------------
% 0.23/0.52  % (12805)------------------------------
% 0.23/0.52  % (12807)Refutation not found, incomplete strategy% (12807)------------------------------
% 0.23/0.52  % (12807)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.52  % (12807)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.52  % (12807)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.52  
% 0.23/0.52  % (12807)Memory used [KB]: 12153
% 0.23/0.52  % (12807)Time elapsed: 0.044 s
% 0.23/0.52  % (12807)------------------------------
% 0.23/0.52  % (12807)------------------------------
% 0.23/0.58  % (12813)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_333 on Vampire---4 for (333ds/0Mi)
% 0.23/0.58  % (12812)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 3.80/0.95  % (12812)First to succeed.
% 3.80/0.95  % (12812)Refutation found. Thanks to Tanya!
% 3.80/0.95  % SZS status Unsatisfiable for Vampire---4
% 3.80/0.95  % SZS output start Proof for Vampire---4
% See solution above
% 3.80/0.95  % (12812)------------------------------
% 3.80/0.95  % (12812)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.80/0.95  % (12812)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.80/0.95  % (12812)Termination reason: Refutation
% 3.80/0.95  
% 3.80/0.95  % (12812)Memory used [KB]: 18293
% 3.80/0.95  % (12812)Time elapsed: 0.373 s
% 3.80/0.95  % (12812)------------------------------
% 3.80/0.95  % (12812)------------------------------
% 3.80/0.95  % (12804)Success in time 0.554 s
% 3.80/0.96  % Vampire---4.8 exiting
%------------------------------------------------------------------------------