TSTP Solution File: SWV287-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV287-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 : Sun May  5 10:49:02 EDT 2024

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   43 (  18   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  13 con; 0-5 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,plain,
    $false,
    inference(subsumption_resolution,[],[f18,f4]) ).

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

fof(f18,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(subsumption_resolution,[],[f17,f3]) ).

fof(f3,axiom,
    ! [X0] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,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_2) ).

fof(f17,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(subsumption_resolution,[],[f16,f7]) ).

fof(f7,axiom,
    c_in(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/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f16,plain,
    ( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(subsumption_resolution,[],[f15,f6]) ).

fof(f6,axiom,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f15,plain,
    ( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(subsumption_resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f14,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f13,f9]) ).

fof(f9,axiom,
    ! [X3,X1,X6,X7,X4,X5] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X6,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OKey(X5)))),c_List_Oset(X1,tc_Event_Oevent),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(f13,plain,
    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_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(resolution,[],[f12,f2]) ).

fof(f2,axiom,
    c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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(f12,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | 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(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X1,v_NA,v_evs),c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f11,f4]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | 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(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X1,v_NA,v_evs),c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f10,f6]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X0,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | 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(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X1,v_NA,v_evs),c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolution,[],[f8,f1]) ).

fof(f1,axiom,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,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(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f8,axiom,
    ! [X2,X3,X1,X6,X4,X5] :
      ( ~ c_in(c_Event_Oevent_OSays(X3,X6,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OAgent(X6)))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X3,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(v_sko__u8o(X3,X6,X5,X4,X1),c_Message_Omsg_OKey(X5)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OA__trusts__OR4__dest_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWV287-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37  % Computer : n021.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Fri May  3 21:10:08 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  % (3394)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (3401)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39  % (3396)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39  % (3400)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39  % (3399)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39  % (3397)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.39  % (3398)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39  % (3399)Also succeeded, but the first one will report.
% 0.21/0.39  % (3400)First to succeed.
% 0.21/0.39  % (3400)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3394"
% 0.21/0.39  % (3397)Also succeeded, but the first one will report.
% 0.21/0.39  % (3400)Refutation found. Thanks to Tanya!
% 0.21/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39  % (3400)------------------------------
% 0.21/0.39  % (3400)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39  % (3400)Termination reason: Refutation
% 0.21/0.39  
% 0.21/0.39  % (3400)Memory used [KB]: 745
% 0.21/0.39  % (3400)Time elapsed: 0.003 s
% 0.21/0.39  % (3400)Instructions burned: 3 (million)
% 0.21/0.39  % (3394)Success in time 0.016 s
%------------------------------------------------------------------------------