TSTP Solution File: SWV750-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV750-1 : 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 : n008.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 23:29:31 EDT 2023

% Result   : Unsatisfiable 47.36s 7.27s
% Output   : Refutation 47.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (  12 unt;   0 def)
%            Number of atoms       :   22 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  15 con; 0-3 aty)
%            Number of variables   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121218,plain,
    $false,
    inference(unit_resulting_resolution,[],[f701,f653,f119530,f658,f613]) ).

fof(f613,axiom,
    ! [X2,X3,X29,X0,X56,X79,X62,X4,X63,X22] :
      ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X56,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X56),c_Message_Omsg_OMPair(X79,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X29),X22))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(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(X62,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X29),X0))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
      | X62 = X79 ),
    file('/export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856',cls_unique__session__keys_1) ).

fof(f658,axiom,
    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(v_NA,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_evso,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856',cls_conjecture_7) ).

fof(f119530,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_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    inference(backward_demodulation,[],[f700,f119508]) ).

fof(f119508,plain,
    v_A = v_Aa,
    inference(unit_resulting_resolution,[],[f653,f700,f658,f612]) ).

fof(f612,axiom,
    ! [X2,X3,X29,X0,X56,X79,X62,X4,X63,X22] :
      ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X56,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X56),c_Message_Omsg_OMPair(X79,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X29),X22))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(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(X62,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X29),X0))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
      | X2 = X56 ),
    file('/export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856',cls_unique__session__keys_0) ).

fof(f700,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    inference(forward_demodulation,[],[f699,f697]) ).

fof(f697,plain,
    v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))),
    inference(forward_demodulation,[],[f657,f660]) ).

fof(f660,axiom,
    v_Ka = v_K,
    file('/export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856',cls_conjecture_9) ).

fof(f657,axiom,
    c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X,
    file('/export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856',cls_conjecture_6) ).

fof(f699,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    inference(forward_demodulation,[],[f655,f660]) ).

fof(f655,axiom,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856',cls_conjecture_4) ).

fof(f653,axiom,
    hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856',cls_conjecture_2) ).

fof(f701,plain,
    c_Message_Omsg_ONonce(v_NAa) != v_NA,
    inference(subsumption_resolution,[],[f661,f660]) ).

fof(f661,axiom,
    ( v_Ka != v_K
    | c_Message_Omsg_ONonce(v_NAa) != v_NA ),
    file('/export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856',cls_conjecture_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19  % Problem    : SWV750-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.21  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.21/0.42  % Computer : n008.cluster.edu
% 0.21/0.42  % Model    : x86_64 x86_64
% 0.21/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.42  % Memory   : 8042.1875MB
% 0.21/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.42  % CPULimit   : 300
% 0.21/0.42  % WCLimit    : 300
% 0.21/0.42  % DateTime   : Tue Aug 29 07:32:47 EDT 2023
% 0.21/0.42  % CPUTime    : 
% 0.21/0.42  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.21/0.42  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.eEOXO7rwIn/Vampire---4.8_7856
% 0.21/0.42  % (7988)Running in auto input_syntax mode. Trying TPTP
% 0.28/0.51  % (7990)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)
% 0.28/0.52  % (7989)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)
% 0.28/0.52  % (7993)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)
% 0.28/0.52  % (7994)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)
% 0.28/0.52  % (7995)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)
% 0.28/0.52  % (7991)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)
% 0.28/0.52  % (7992)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)
% 47.36/7.26  % (7989)First to succeed.
% 47.36/7.27  % (7989)Refutation found. Thanks to Tanya!
% 47.36/7.27  % SZS status Unsatisfiable for Vampire---4
% 47.36/7.27  % SZS output start Proof for Vampire---4
% See solution above
% 47.36/7.27  % (7989)------------------------------
% 47.36/7.27  % (7989)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 47.36/7.27  % (7989)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 47.36/7.27  % (7989)Termination reason: Refutation
% 47.36/7.27  
% 47.36/7.27  % (7989)Memory used [KB]: 165029
% 47.36/7.27  % (7989)Time elapsed: 6.734 s
% 47.36/7.27  % (7989)------------------------------
% 47.36/7.27  % (7989)------------------------------
% 47.36/7.27  % (7988)Success in time 6.803 s
% 47.36/7.28  % Vampire---4.8 exiting
%------------------------------------------------------------------------------