TSTP Solution File: SWV236+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 May  1 04:02:56 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   43 (   6 unt;   0 def)
%            Number of atoms       :  129 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  164 (  78   ~;  64   |;  14   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   80 (  77   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f418,plain,
    $false,
    inference(avatar_sat_refutation,[],[f372,f417]) ).

fof(f417,plain,
    ( spl1_4
    | spl1_4
    | spl1_4 ),
    inference(avatar_split_clause,[],[f416,f125,f125,f125]) ).

fof(f125,plain,
    ( spl1_4
  <=> ! [X0] : ~ p(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f416,plain,
    ! [X2,X0,X1] :
      ( ~ p(X0)
      | ~ p(X1)
      | ~ p(X2) ),
    inference(subsumption_resolution,[],[f411,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( p(xor(X0,X1))
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( p(xor(X0,X1))
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( p(xor(X0,X1))
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ( p(X1)
        & p(X0) )
     => p(xor(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555',combine_with_XOR) ).

fof(f411,plain,
    ! [X2,X0,X1] :
      ( ~ p(X0)
      | ~ p(X1)
      | ~ p(X2)
      | ~ p(xor(X1,X2)) ),
    inference(duplicate_literal_removal,[],[f409]) ).

fof(f409,plain,
    ! [X2,X0,X1] :
      ( ~ p(X0)
      | ~ p(X1)
      | ~ p(X2)
      | ~ p(X0)
      | ~ p(xor(X1,X2)) ),
    inference(resolution,[],[f276,f76]) ).

fof(f276,plain,
    ! [X2,X0,X1] :
      ( ~ p(xor(xor(X1,X2),X0))
      | ~ p(X0)
      | ~ p(X1)
      | ~ p(X2) ),
    inference(subsumption_resolution,[],[f267,f88]) ).

fof(f88,plain,
    p(exp),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    p(exp),
    file('/export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555',initial_knowledge_of_intruder_9) ).

fof(f267,plain,
    ! [X2,X0,X1] :
      ( ~ p(X0)
      | ~ p(xor(xor(X1,X2),X0))
      | ~ p(X1)
      | ~ p(exp)
      | ~ p(X2) ),
    inference(resolution,[],[f159,f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( p(crypt(xor(km,xor(kp,X1)),X0))
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( p(crypt(xor(km,xor(kp,X1)),X0))
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( p(crypt(xor(km,xor(kp,X1)),X0))
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( p(X1)
        & p(X0) )
     => p(crypt(xor(km,xor(kp,X1)),X0)) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X9,X8] :
      ( ( p(X8)
        & p(X9) )
     => p(crypt(xor(km,xor(kp,X8)),X9)) ),
    file('/export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555',key_part_import___part_1) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( ~ p(crypt(xor(km,xor(kp,exp)),X1))
      | ~ p(X2)
      | ~ p(xor(xor(X0,X1),X2))
      | ~ p(X0) ),
    inference(subsumption_resolution,[],[f150,f88]) ).

fof(f150,plain,
    ! [X2,X0,X1] :
      ( ~ p(xor(xor(X0,X1),X2))
      | ~ p(X2)
      | ~ p(exp)
      | ~ p(crypt(xor(km,xor(kp,exp)),X1))
      | ~ p(X0) ),
    inference(resolution,[],[f111,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( p(crypt(xor(km,xor(X1,kp)),xor(X0,X2)))
      | ~ p(X1)
      | ~ p(crypt(xor(km,xor(kp,X1)),X2))
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( p(crypt(xor(km,xor(X1,kp)),xor(X0,X2)))
      | ~ p(X1)
      | ~ p(crypt(xor(km,xor(kp,X1)),X2))
      | ~ p(X0) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( p(crypt(xor(km,xor(X1,kp)),xor(X0,X2)))
      | ~ p(X1)
      | ~ p(crypt(xor(km,xor(kp,X1)),X2))
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( p(X1)
        & p(crypt(xor(km,xor(kp,X1)),X2))
        & p(X0) )
     => p(crypt(xor(km,xor(X1,kp)),xor(X0,X2))) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X5,X8,X10] :
      ( ( p(X8)
        & p(crypt(xor(km,xor(kp,X8)),X10))
        & p(X5) )
     => p(crypt(xor(km,xor(X8,kp)),xor(X5,X10))) ),
    file('/export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555',key_part_import___part_2) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ p(crypt(xor(km,xor(exp,kp)),X0))
      | ~ p(xor(X0,X1))
      | ~ p(X1) ),
    inference(subsumption_resolution,[],[f101,f88]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ p(xor(X0,X1))
      | ~ p(exp)
      | ~ p(crypt(xor(km,xor(exp,kp)),X0))
      | ~ p(X1) ),
    inference(resolution,[],[f90,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( p(crypt(xor(km,X1),xor(X2,X0)))
      | ~ p(X1)
      | ~ p(crypt(xor(km,xor(X1,kp)),X2))
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( p(crypt(xor(km,X1),xor(X2,X0)))
      | ~ p(X1)
      | ~ p(crypt(xor(km,xor(X1,kp)),X2))
      | ~ p(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( p(crypt(xor(km,X1),xor(X2,X0)))
      | ~ p(X1)
      | ~ p(crypt(xor(km,xor(X1,kp)),X2))
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( p(X1)
        & p(crypt(xor(km,xor(X1,kp)),X2))
        & p(X0) )
     => p(crypt(xor(km,X1),xor(X2,X0))) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X5,X8,X10] :
      ( ( p(X8)
        & p(crypt(xor(km,xor(X8,kp)),X10))
        & p(X5) )
     => p(crypt(xor(km,X8),xor(X10,X5))) ),
    file('/export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555',key_part_import___part_3) ).

fof(f90,plain,
    ! [X0] :
      ( ~ p(crypt(xor(km,exp),X0))
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ p(X0)
      | ~ p(crypt(xor(km,exp),X0)) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ~ ? [X0] :
        ( p(X0)
        & p(crypt(xor(km,exp),X0)) ),
    inference(rectify,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ? [X11] :
        ( p(X11)
        & p(crypt(xor(km,exp),X11)) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ? [X11] :
      ( p(X11)
      & p(crypt(xor(km,exp),X11)) ),
    file('/export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555',find_known_exporter) ).

fof(f372,plain,
    ~ spl1_4,
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f347,plain,
    ( $false
    | ~ spl1_4 ),
    inference(resolution,[],[f126,f86]) ).

fof(f86,plain,
    p(crypt(xor(km,exp),eurk)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    p(crypt(xor(km,exp),eurk)),
    file('/export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555',initial_knowledge_of_intruder_7) ).

fof(f126,plain,
    ( ! [X0] : ~ p(X0)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f125]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 18:51:05 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555
% 0.61/0.76  % (21803)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.61/0.76  % (21799)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (21800)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.76  % (21797)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.61/0.76  % (21802)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.76  % (21801)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.61/0.76  % (21802)Refutation not found, incomplete strategy% (21802)------------------------------
% 0.61/0.76  % (21802)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (21802)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (21804)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.61/0.76  % (21802)Memory used [KB]: 972
% 0.61/0.76  % (21802)Time elapsed: 0.003 s
% 0.61/0.76  % (21802)Instructions burned: 2 (million)
% 0.61/0.76  % (21802)------------------------------
% 0.61/0.76  % (21802)------------------------------
% 0.61/0.76  % (21804)Refutation not found, incomplete strategy% (21804)------------------------------
% 0.61/0.76  % (21804)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (21804)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (21804)Memory used [KB]: 972
% 0.61/0.76  % (21804)Time elapsed: 0.003 s
% 0.61/0.76  % (21804)Instructions burned: 2 (million)
% 0.61/0.76  % (21804)------------------------------
% 0.61/0.76  % (21804)------------------------------
% 0.61/0.77  % (21798)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.61/0.77  % (21801)First to succeed.
% 0.61/0.77  % (21805)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.77  % (21797)Also succeeded, but the first one will report.
% 0.61/0.77  % (21801)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (21801)------------------------------
% 0.61/0.77  % (21801)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (21801)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (21801)Memory used [KB]: 1136
% 0.61/0.77  % (21801)Time elapsed: 0.008 s
% 0.61/0.77  % (21801)Instructions burned: 10 (million)
% 0.61/0.77  % (21801)------------------------------
% 0.61/0.77  % (21801)------------------------------
% 0.61/0.77  % (21793)Success in time 0.387 s
% 0.61/0.77  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.61/0.77  21793 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.ykVAPBAO7j/Vampire---4.8_21555
% 0.61/0.77  % (21793)------------------------------
% 0.61/0.77  % (21793)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (21793)Termination reason: Unknown
% 0.61/0.77  % (21793)Termination phase: Unknown
% 0.61/0.77  
% 0.61/0.77  % (21793)Memory used [KB]: 461
% 0.61/0.77  % (21793)Time elapsed: 0.387 s
% 0.61/0.77  % (21793)Instructions burned: 955 (million)
% 0.61/0.77  % (21793)------------------------------
% 0.61/0.77  % (21793)------------------------------
% 0.61/0.77  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  ???
% 0.61/0.77   ???
% 0.61/0.77    ???
% 0.61/0.77     ???
% 0.61/0.77      ???
% 0.61/0.77       ???
% 0.61/0.77        ???
% 0.61/0.77         ???
% 0.61/0.77          ???
% 0.61/0.77           ???
% 0.61/0.77            ???
% 0.61/0.77             ???
% 0.61/0.77              ???
% 0.61/0.77               ???
% 0.61/0.77                ???
% 0.61/0.77                 ???
% 0.61/0.77                  ???
% 0.61/0.77                   ???
% 0.61/0.77                    ???
% 0.61/0.77                     ???
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------