TSTP Solution File: SET764+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET764+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 : n006.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 03:48:53 EDT 2024

% Result   : Theorem 0.63s 0.81s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (   7 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   58 (  21   ~;  18   |;   6   &)
%                                         (   6 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   47 (  41   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f88,plain,
    $false,
    inference(avatar_sat_refutation,[],[f70,f80,f87]) ).

fof(f87,plain,
    spl7_2,
    inference(avatar_contradiction_clause,[],[f86]) ).

fof(f86,plain,
    ( $false
    | spl7_2 ),
    inference(subsumption_resolution,[],[f82,f47]) ).

fof(f47,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X2] : ~ member(X2,empty_set),
    file('/export/starexec/sandbox/tmp/tmp.kYoy58Z7UN/Vampire---4.8_13983',empty_set) ).

fof(f82,plain,
    ( member(sK5(empty_set,inverse_image2(sK0,empty_set)),empty_set)
    | spl7_2 ),
    inference(unit_resulting_resolution,[],[f69,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) )
     => subset(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.kYoy58Z7UN/Vampire---4.8_13983',subset) ).

fof(f69,plain,
    ( ~ subset(empty_set,inverse_image2(sK0,empty_set))
    | spl7_2 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl7_2
  <=> subset(empty_set,inverse_image2(sK0,empty_set)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f80,plain,
    spl7_1,
    inference(avatar_contradiction_clause,[],[f79]) ).

fof(f79,plain,
    ( $false
    | spl7_1 ),
    inference(subsumption_resolution,[],[f74,f47]) ).

fof(f74,plain,
    ( member(sK4(sK0,empty_set,sK5(inverse_image2(sK0,empty_set),empty_set)),empty_set)
    | spl7_1 ),
    inference(unit_resulting_resolution,[],[f71,f51]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( member(sK4(X0,X1,X2),X1)
      | ~ member(X2,inverse_image2(X0,X1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( member(X2,inverse_image2(X0,X1))
    <=> ? [X3] :
          ( apply(X0,X2,X3)
          & member(X3,X1) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X5,X1,X2] :
      ( member(X2,inverse_image2(X5,X1))
    <=> ? [X4] :
          ( apply(X5,X2,X4)
          & member(X4,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.kYoy58Z7UN/Vampire---4.8_13983',inverse_image2) ).

fof(f71,plain,
    ( member(sK5(inverse_image2(sK0,empty_set),empty_set),inverse_image2(sK0,empty_set))
    | spl7_1 ),
    inference(unit_resulting_resolution,[],[f65,f54]) ).

fof(f65,plain,
    ( ~ subset(inverse_image2(sK0,empty_set),empty_set)
    | spl7_1 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl7_1
  <=> subset(inverse_image2(sK0,empty_set),empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f70,plain,
    ( ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f61,f67,f63]) ).

fof(f61,plain,
    ( ~ subset(empty_set,inverse_image2(sK0,empty_set))
    | ~ subset(inverse_image2(sK0,empty_set),empty_set) ),
    inference(resolution,[],[f45,f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
     => equal_set(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.kYoy58Z7UN/Vampire---4.8_13983',equal_set) ).

fof(f45,plain,
    ~ equal_set(inverse_image2(sK0,empty_set),empty_set),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ? [X0,X1,X2] :
      ( ~ equal_set(inverse_image2(X0,empty_set),empty_set)
      & maps(X0,X1,X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0,X1,X2] :
        ( maps(X0,X1,X2)
       => equal_set(inverse_image2(X0,empty_set),empty_set) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X5,X0,X1] :
        ( maps(X5,X0,X1)
       => equal_set(inverse_image2(X5,empty_set),empty_set) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X5,X0,X1] :
      ( maps(X5,X0,X1)
     => equal_set(inverse_image2(X5,empty_set),empty_set) ),
    file('/export/starexec/sandbox/tmp/tmp.kYoy58Z7UN/Vampire---4.8_13983',thIIa14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET764+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 17:14:05 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.kYoy58Z7UN/Vampire---4.8_13983
% 0.63/0.81  % (14241)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 (2995ds/83Mi)
% 0.63/0.81  % (14235)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 (2995ds/34Mi)
% 0.63/0.81  % (14237)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (14236)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 (2995ds/51Mi)
% 0.63/0.81  % (14238)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81  % (14239)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 (2995ds/34Mi)
% 0.63/0.81  % (14240)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81  % (14241)First to succeed.
% 0.63/0.81  % (14241)Refutation found. Thanks to Tanya!
% 0.63/0.81  % SZS status Theorem for Vampire---4
% 0.63/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.81  % (14241)------------------------------
% 0.63/0.81  % (14241)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (14241)Termination reason: Refutation
% 0.63/0.81  
% 0.63/0.81  % (14241)Memory used [KB]: 1069
% 0.63/0.81  % (14241)Time elapsed: 0.003 s
% 0.63/0.81  % (14241)Instructions burned: 4 (million)
% 0.63/0.81  % (14241)------------------------------
% 0.63/0.81  % (14241)------------------------------
% 0.63/0.81  % (14231)Success in time 0.448 s
% 0.63/0.81  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.63/0.81  14231 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.kYoy58Z7UN/Vampire---4.8_13983
% 0.63/0.81  % (14231)------------------------------
% 0.63/0.81  % (14231)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (14231)Termination reason: Unknown
% 0.63/0.81  % (14231)Termination phase: Unknown
% 0.63/0.81  
% 0.63/0.81  % (14231)Memory used [KB]: 479
% 0.63/0.81  % (14231)Time elapsed: 0.448 s
% 0.63/0.81  % (14231)Instructions burned: 956 (million)
% 0.63/0.81  % (14231)------------------------------
% 0.63/0.81  % (14231)------------------------------
% 0.63/0.81  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  ???
% 0.63/0.81   ???
% 0.63/0.81    ???
% 0.63/0.81     ???
% 0.63/0.81      ???
% 0.63/0.81       ???
% 0.63/0.81        ???
% 0.63/0.81         ???
% 0.63/0.81          ???
% 0.63/0.81           ???
% 0.63/0.81            ???
% 0.63/0.81             ???
% 0.63/0.81              ???
% 0.63/0.81               ???
% 0.63/0.81                ???
% 0.63/0.81                 ???
% 0.63/0.81                  ???
% 0.63/0.81                   ???
% 0.63/0.81                    ???
% 0.63/0.81                     ???
% 0.63/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------