TSTP Solution File: SWB040+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB040+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 03:58:51 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   54 (  10 unt;   0 def)
%            Number of atoms       :  181 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  210 (  83   ~;  78   |;  35   &)
%                                         (   9 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   65 (  61   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f812,plain,
    $false,
    inference(avatar_sat_refutation,[],[f689,f717,f723,f809]) ).

fof(f809,plain,
    ( ~ spl2_3
    | ~ spl2_4
    | spl2_5 ),
    inference(avatar_contradiction_clause,[],[f808]) ).

fof(f808,plain,
    ( $false
    | ~ spl2_3
    | ~ spl2_4
    | spl2_5 ),
    inference(subsumption_resolution,[],[f807,f683]) ).

fof(f683,plain,
    ( ic(uri_ex_n1)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f682,plain,
    ( spl2_4
  <=> ic(uri_ex_n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f807,plain,
    ( ~ ic(uri_ex_n1)
    | ~ spl2_3
    | spl2_5 ),
    inference(subsumption_resolution,[],[f802,f609]) ).

fof(f609,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    file('/export/starexec/sandbox2/tmp/tmp.gmFFIlRof0/Vampire---4.8_16041',conclusion_rdfbased_sem_bool_tollens) ).

fof(f802,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
    | ~ ic(uri_ex_n1)
    | ~ spl2_3
    | spl2_5 ),
    inference(resolution,[],[f793,f733]) ).

fof(f733,plain,
    ( icext(uri_ex_c1,sK0(uri_ex_n2,uri_ex_n1))
    | spl2_5 ),
    inference(resolution,[],[f724,f622]) ).

fof(f622,plain,
    iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
    & iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1)
    & iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.gmFFIlRof0/Vampire---4.8_16041',premise_rdfbased_sem_bool_tollens) ).

fof(f724,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_complementOf,uri_ex_n1,X0)
        | icext(X0,sK0(uri_ex_n2,uri_ex_n1)) )
    | spl2_5 ),
    inference(resolution,[],[f688,f634]) ).

fof(f634,plain,
    ! [X2,X0,X1] :
      ( icext(X0,X2)
      | icext(X1,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f605]) ).

fof(f605,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X1,X2)
              | ~ icext(X0,X2) ) )
        & ic(X1)
        & ic(X0) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f590]) ).

fof(f590,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f571]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f278]) ).

fof(f278,axiom,
    ! [X10,X4] :
      ( iext(uri_owl_complementOf,X10,X4)
     => ( ! [X3] :
            ( icext(X10,X3)
          <=> ~ icext(X4,X3) )
        & ic(X4)
        & ic(X10) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gmFFIlRof0/Vampire---4.8_16041',owl_bool_complementof_class) ).

fof(f688,plain,
    ( ~ icext(uri_ex_n1,sK0(uri_ex_n2,uri_ex_n1))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f686,plain,
    ( spl2_5
  <=> icext(uri_ex_n1,sK0(uri_ex_n2,uri_ex_n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f793,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_c1,sK0(uri_ex_n2,X0))
        | iext(uri_rdfs_subClassOf,uri_ex_n2,X0)
        | ~ ic(X0) )
    | ~ spl2_3 ),
    inference(resolution,[],[f787,f623]) ).

fof(f623,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[],[f561]) ).

fof(f787,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdfs_subClassOf,X0,uri_ex_c2)
        | ~ icext(X0,sK0(uri_ex_n2,X1))
        | iext(uri_rdfs_subClassOf,uri_ex_n2,X1)
        | ~ ic(X1) )
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f764,f679]) ).

fof(f679,plain,
    ( ic(uri_ex_n2)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f678,plain,
    ( spl2_3
  <=> ic(uri_ex_n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f764,plain,
    ! [X0,X1] :
      ( ~ icext(X0,sK0(uri_ex_n2,X1))
      | ~ iext(uri_rdfs_subClassOf,X0,uri_ex_c2)
      | iext(uri_rdfs_subClassOf,uri_ex_n2,X1)
      | ~ ic(X1)
      | ~ ic(uri_ex_n2) ),
    inference(resolution,[],[f653,f613]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( icext(X0,sK0(X0,X1))
      | iext(uri_rdfs_subClassOf,X0,X1)
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f601,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ( ~ icext(X1,sK0(X0,X1))
          & icext(X0,sK0(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f599,f600]) ).

fof(f600,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X1,X2)
          & icext(X0,X2) )
     => ( ~ icext(X1,sK0(X0,X1))
        & icext(X0,sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f599,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f598]) ).

fof(f598,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f597]) ).

fof(f597,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f584]) ).

fof(f584,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f563]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f343]) ).

fof(f343,axiom,
    ! [X12,X14] :
      ( iext(uri_rdfs_subClassOf,X12,X14)
    <=> ( ! [X3] :
            ( icext(X12,X3)
           => icext(X14,X3) )
        & ic(X14)
        & ic(X12) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gmFFIlRof0/Vampire---4.8_16041',owl_rdfsext_subclassof) ).

fof(f653,plain,
    ! [X0,X1] :
      ( ~ icext(uri_ex_n2,X0)
      | ~ icext(X1,X0)
      | ~ iext(uri_rdfs_subClassOf,X1,uri_ex_c2) ),
    inference(resolution,[],[f651,f612]) ).

fof(f612,plain,
    ! [X3,X0,X1] :
      ( icext(X1,X3)
      | ~ icext(X0,X3)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f651,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c2,X0)
      | ~ icext(uri_ex_n2,X0) ),
    inference(resolution,[],[f633,f621]) ).

fof(f621,plain,
    iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2),
    inference(cnf_transformation,[],[f561]) ).

fof(f633,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f605]) ).

fof(f723,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f722]) ).

fof(f722,plain,
    ( $false
    | spl2_3 ),
    inference(resolution,[],[f719,f621]) ).

fof(f719,plain,
    ( ! [X0] : ~ iext(uri_owl_complementOf,uri_ex_n2,X0)
    | spl2_3 ),
    inference(resolution,[],[f680,f631]) ).

fof(f631,plain,
    ! [X0,X1] :
      ( ic(X0)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f605]) ).

fof(f680,plain,
    ( ~ ic(uri_ex_n2)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f717,plain,
    spl2_4,
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f716,plain,
    ( $false
    | spl2_4 ),
    inference(resolution,[],[f701,f622]) ).

fof(f701,plain,
    ( ! [X0] : ~ iext(uri_owl_complementOf,uri_ex_n1,X0)
    | spl2_4 ),
    inference(resolution,[],[f684,f631]) ).

fof(f684,plain,
    ( ~ ic(uri_ex_n1)
    | spl2_4 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f689,plain,
    ( ~ spl2_3
    | ~ spl2_4
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f674,f686,f682,f678]) ).

fof(f674,plain,
    ( ~ icext(uri_ex_n1,sK0(uri_ex_n2,uri_ex_n1))
    | ~ ic(uri_ex_n1)
    | ~ ic(uri_ex_n2) ),
    inference(resolution,[],[f614,f609]) ).

fof(f614,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X1,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f601]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWB040+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.32  % Computer : n012.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Apr 30 17:31:26 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.gmFFIlRof0/Vampire---4.8_16041
% 0.60/0.80  % (16154)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (16156)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)
% 0.60/0.80  % (16155)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)
% 0.60/0.80  % (16152)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)
% 0.60/0.80  % (16157)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)
% 0.60/0.80  % (16159)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 (2995ds/56Mi)
% 0.60/0.80  % (16158)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)
% 0.60/0.80  % (16153)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)
% 0.60/0.81  % (16158)Refutation not found, incomplete strategy% (16158)------------------------------
% 0.60/0.81  % (16158)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (16158)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (16158)Memory used [KB]: 1447
% 0.60/0.81  % (16158)Time elapsed: 0.006 s
% 0.60/0.81  % (16158)Instructions burned: 9 (million)
% 0.60/0.81  % (16158)------------------------------
% 0.60/0.81  % (16158)------------------------------
% 0.60/0.81  % (16154)First to succeed.
% 0.60/0.81  % (16154)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (16154)------------------------------
% 0.60/0.81  % (16154)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (16154)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (16154)Memory used [KB]: 1489
% 0.60/0.81  % (16154)Time elapsed: 0.009 s
% 0.60/0.81  % (16154)Instructions burned: 13 (million)
% 0.60/0.81  % (16154)------------------------------
% 0.60/0.81  % (16154)------------------------------
% 0.60/0.81  % (16148)Success in time 0.481 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------