TSTP Solution File: SWV313-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV313-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n015.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 Aug 31 18:56:19 EDT 2022

% Result   : Unsatisfiable 0.14s 0.44s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   34 (  13   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f14,plain,
    c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(subsumption_resolution,[],[f13,f3]) ).

fof(f3,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f13,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f12,f4]) ).

fof(f4,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f12,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolution,[],[f11,f1]) ).

fof(f1,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_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(X3,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f10,f5]) ).

fof(f5,axiom,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f10,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X3,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f9,f6]) ).

fof(f6,axiom,
    c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f9,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OKey(X0),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
      | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X5,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X0)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X0))),c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X0)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f7,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OKey(X6),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | c_in(X5,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OKey(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X6))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OKey(X6)))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X3,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : SWV313-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n015.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 19:26:36 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.43  % (21777)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.43  % (21785)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.43  % (21785)First to succeed.
% 0.14/0.44  % (21785)Refutation found. Thanks to Tanya!
% 0.14/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.44  % (21785)------------------------------
% 0.14/0.44  % (21785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.44  % (21785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.44  % (21785)Termination reason: Refutation
% 0.14/0.44  
% 0.14/0.44  % (21785)Memory used [KB]: 5373
% 0.14/0.44  % (21785)Time elapsed: 0.048 s
% 0.14/0.44  % (21785)Instructions burned: 2 (million)
% 0.14/0.44  % (21785)------------------------------
% 0.14/0.44  % (21785)------------------------------
% 0.14/0.44  % (21761)Success in time 0.132 s
%------------------------------------------------------------------------------