TSTP Solution File: SWV337-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV337-2 : 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 : n027.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 18:56:26 EDT 2022

% Result   : Unsatisfiable 1.19s 0.53s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  16 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   56 (  28   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  14 con; 0-3 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(subsumption_resolution,[],[f36,f17]) ).

fof(f17,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(literal_reordering,[],[f3]) ).

fof(f3,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f36,plain,
    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f34,f11]) ).

fof(f11,plain,
    ! [X3,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X4,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    inference(literal_reordering,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X4,X5] :
      ( c_in(X4,c_Message_Oanalz(X5),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f34,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f32,f11]) ).

fof(f32,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f30,f11]) ).

fof(f30,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f27,f29]) ).

fof(f29,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(subsumption_resolution,[],[f28,f19]) ).

fof(f19,plain,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    inference(literal_reordering,[],[f1]) ).

fof(f1,axiom,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f28,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(subsumption_resolution,[],[f26,f15]) ).

fof(f15,plain,
    ! [X2,X0,X1] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(literal_reordering,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f26,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f24,f23]) ).

fof(f23,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X2))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f12,f20]) ).

fof(f20,plain,
    ! [X6,X5] :
      ( c_in(X6,c_Message_Oparts(X5),tc_Message_Omsg)
      | ~ c_in(X6,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    inference(literal_reordering,[],[f7]) ).

fof(f7,axiom,
    ! [X6,X5] :
      ( c_in(X6,c_Message_Oparts(X5),tc_Message_Omsg)
      | ~ c_in(X6,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f12,plain,
    ! [X10,X11,X8,X9,X7,X12] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X10),c_Message_Omsg_OMPair(X11,X12)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X10),c_Message_Omsg_OMPair(X11,X12)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OKey(X10))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X7,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(literal_reordering,[],[f9]) ).

fof(f9,axiom,
    ! [X10,X11,X8,X9,X7,X12] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X10),c_Message_Omsg_OMPair(X11,X12)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
      | c_in(X7,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X10),c_Message_Omsg_OMPair(X11,X12)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OKey(X10))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).

fof(f24,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f22,f18]) ).

fof(f18,plain,
    ! [X3,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X3,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    inference(literal_reordering,[],[f6]) ).

fof(f6,axiom,
    ! [X3,X4,X5] :
      ( c_in(X3,c_Message_Oanalz(X5),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

fof(f22,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f21,f19]) ).

fof(f21,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f14,f16]) ).

fof(f16,plain,
    c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(literal_reordering,[],[f2]) ).

fof(f2,axiom,
    c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f14,plain,
    ! [X3,X8,X9] :
      ( ~ c_in(c_Event_Oevent_OGets(X9,X3),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg) ),
    inference(literal_reordering,[],[f10]) ).

fof(f10,axiom,
    ! [X3,X8,X9] :
      ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
      | ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X9,X3),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

fof(f27,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[],[f24,f13]) ).

fof(f13,plain,
    ! [X3,X8,X7] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
      | ~ c_in(X7,c_Event_Obad,tc_Message_Oagent)
      | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg) ),
    inference(literal_reordering,[],[f8]) ).

fof(f8,axiom,
    ! [X3,X8,X7] :
      ( ~ c_in(X7,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
      | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__Spy__analz__bad_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV337-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 19:34:31 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  % (11215)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.50  % (11215)Instruction limit reached!
% 0.21/0.50  % (11215)------------------------------
% 0.21/0.50  % (11215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (11215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (11215)Termination reason: Unknown
% 0.21/0.50  % (11215)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (11215)Memory used [KB]: 5373
% 0.21/0.50  % (11215)Time elapsed: 0.003 s
% 0.21/0.50  % (11215)Instructions burned: 2 (million)
% 0.21/0.50  % (11215)------------------------------
% 0.21/0.50  % (11215)------------------------------
% 0.21/0.50  % (11225)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.19/0.52  % (11233)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.19/0.52  % (11233)First to succeed.
% 1.19/0.53  % (11233)Refutation found. Thanks to Tanya!
% 1.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.53  % (11233)------------------------------
% 1.19/0.53  % (11233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53  % (11233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53  % (11233)Termination reason: Refutation
% 1.19/0.53  
% 1.19/0.53  % (11233)Memory used [KB]: 5756
% 1.19/0.53  % (11233)Time elapsed: 0.004 s
% 1.19/0.53  % (11233)Instructions burned: 3 (million)
% 1.19/0.53  % (11233)------------------------------
% 1.19/0.53  % (11233)------------------------------
% 1.19/0.53  % (11206)Success in time 0.158 s
%------------------------------------------------------------------------------