TSTP Solution File: SWV347-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV347-1 : 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_uns --cores 0 -t %d %s

% Computer : n019.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 18:45:13 EDT 2022

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   46 (   5 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   41 (  19   ~;  19   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  15 con; 0-3 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3045,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2993,f3006,f3042,f3044]) ).

fof(f3044,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f3043]) ).

fof(f3043,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f3002,f2976]) ).

fof(f2976,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f3002,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f3000]) ).

fof(f3000,plain,
    ( spl0_3
  <=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3042,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f3041]) ).

fof(f3041,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f3040,f2967]) ).

fof(f2967,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f3040,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_4 ),
    inference(superposition,[],[f2977,f3036]) ).

fof(f3036,plain,
    ( v_A = v_Aa
    | ~ spl0_4 ),
    inference(resolution,[],[f3005,f2973]) ).

fof(f2973,axiom,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f3005,plain,
    ( ! [X8,X6,X9,X7,X5] :
        ( ~ c_in(c_Event_Oevent_OGets(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
        | v_A = X8 )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f3004]) ).

fof(f3004,plain,
    ( spl0_4
  <=> ! [X5,X9,X7,X6,X8] :
        ( v_A = X8
        | ~ c_in(c_Event_Oevent_OGets(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2977,axiom,
    c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

fof(f3006,plain,
    ( spl0_3
    | ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f2995,f3004,f2984,f3000]) ).

fof(f2984,plain,
    ( spl0_1
  <=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2995,plain,
    ! [X8,X6,X9,X7,X5] :
      ( v_A = X8
      | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X9),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolution,[],[f2975,f2957]) ).

fof(f2957,axiom,
    ! [X113,X111,X118,X119,X116,X117,X86,X107,X22,X12,X32,X13,X102] :
      ( ~ c_in(c_Event_Oevent_OSays(X32,X22,c_Message_Omsg_OMPair(X86,c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X119),X113))))),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X116,c_Message_Omsg_OMPair(X107,c_Message_Omsg_OCrypt(c_Public_OshrK(X117),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X111),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X118),X113))))),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
      | X12 = X111
      | c_in(X113,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_1) ).

fof(f2975,axiom,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f2993,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f2992]) ).

fof(f2992,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f2986,f2970]) ).

fof(f2970,axiom,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f2986,plain,
    ( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f2984]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWV347-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n019.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 19:21:20 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.53  % (17906)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53  % (17922)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53  % (17915)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.54  % (17907)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.54  % (17906)Instruction limit reached!
% 0.21/0.54  % (17906)------------------------------
% 0.21/0.54  % (17906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (17914)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.54  % (17906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (17906)Termination reason: Unknown
% 0.21/0.54  % (17906)Termination phase: SInE selection
% 0.21/0.54  
% 0.21/0.54  % (17906)Memory used [KB]: 3965
% 0.21/0.54  % (17906)Time elapsed: 0.006 s
% 0.21/0.54  % (17906)Instructions burned: 3 (million)
% 0.21/0.54  % (17906)------------------------------
% 0.21/0.54  % (17906)------------------------------
% 0.21/0.55  % (17921)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.55  % (17899)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.56  % (17897)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.57  % (17914)First to succeed.
% 0.21/0.57  % (17914)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57  % (17914)------------------------------
% 0.21/0.57  % (17914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (17914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (17914)Termination reason: Refutation
% 0.21/0.57  
% 0.21/0.57  % (17914)Memory used [KB]: 8827
% 0.21/0.57  % (17914)Time elapsed: 0.114 s
% 0.21/0.57  % (17914)Instructions burned: 18 (million)
% 0.21/0.57  % (17914)------------------------------
% 0.21/0.57  % (17914)------------------------------
% 0.21/0.57  % (17892)Success in time 0.208 s
%------------------------------------------------------------------------------