TSTP Solution File: SWV319-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV319-2 : 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 : n001.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 18:56:20 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   47 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  16   ~;  17   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,plain,
    $false,
    inference(avatar_sat_refutation,[],[f18,f19,f24,f38]) ).

fof(f38,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f37]) ).

fof(f37,plain,
    ( $false
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f36,f25]) ).

fof(f25,plain,
    ( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | ~ spl0_1
    | spl0_3 ),
    inference(forward_demodulation,[],[f23,f13]) ).

fof(f13,plain,
    ( v_K = c_Public_OshrK(v_A)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl0_1
  <=> v_K = c_Public_OshrK(v_A) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f23,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f36,plain,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(resolution,[],[f34,f7]) ).

fof(f7,axiom,
    ! [X2,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f34,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(resolution,[],[f30,f28]) ).

fof(f28,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(resolution,[],[f27,f6]) ).

fof(f6,axiom,
    ! [X2,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X4,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f27,plain,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(resolution,[],[f26,f6]) ).

fof(f26,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f30,plain,
    ! [X3,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X3,X4),c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X4,c_Message_Oparts(X5),tc_Message_Omsg) ),
    inference(resolution,[],[f8,f9]) ).

fof(f9,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X6,X2),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f8,axiom,
    ! [X2,X5] :
      ( c_in(X2,c_Message_Oparts(X5),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).

fof(f24,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f3,f21,f15]) ).

fof(f15,plain,
    ( spl0_2
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f3,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f19,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f2,f15]) ).

fof(f2,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f18,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f15,f11]) ).

fof(f4,axiom,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | v_K = c_Public_OshrK(v_A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:37:17 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.49  % (22135)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)
% 0.19/0.49  % (22126)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)
% 0.19/0.49  % (22135)First to succeed.
% 0.19/0.50  % (22126)Also succeeded, but the first one will report.
% 0.19/0.50  % (22135)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (22135)------------------------------
% 0.19/0.50  % (22135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (22135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (22135)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (22135)Memory used [KB]: 5373
% 0.19/0.50  % (22135)Time elapsed: 0.073 s
% 0.19/0.50  % (22135)Instructions burned: 2 (million)
% 0.19/0.50  % (22135)------------------------------
% 0.19/0.50  % (22135)------------------------------
% 0.19/0.50  % (22108)Success in time 0.147 s
%------------------------------------------------------------------------------