TSTP Solution File: SWB009+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB009+2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 : Sun May  5 09:45:32 EDT 2024

% Result   : Theorem 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   44 (   7 unt;   0 def)
%            Number of atoms       :  155 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  175 (  64   ~;  56   |;  43   &)
%                                         (   8 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   73 (  60   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f53,f55,f57]) ).

fof(f57,plain,
    spl2_2,
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | spl2_2 ),
    inference(resolution,[],[f48,f32]) ).

fof(f32,plain,
    icext(sK1,uri_ex_s),
    inference(resolution,[],[f19,f27]) ).

fof(f27,plain,
    iext(uri_rdf_type,uri_ex_s,sK1),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
    & iext(uri_owl_onProperty,sK1,uri_ex_p)
    & iext(uri_rdf_type,sK1,uri_owl_Restriction)
    & iext(uri_rdf_type,uri_ex_s,sK1)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f8,f17]) ).

fof(f17,plain,
    ( ? [X0] :
        ( iext(uri_owl_someValuesFrom,X0,uri_ex_c)
        & iext(uri_owl_onProperty,X0,uri_ex_p)
        & iext(uri_rdf_type,X0,uri_owl_Restriction)
        & iext(uri_rdf_type,uri_ex_s,X0)
        & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
        & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) )
   => ( iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
      & iext(uri_owl_onProperty,sK1,uri_ex_p)
      & iext(uri_rdf_type,sK1,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,sK1)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ? [X0] :
      ( iext(uri_owl_someValuesFrom,X0,uri_ex_c)
      & iext(uri_owl_onProperty,X0,uri_ex_p)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,X0)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ? [X6] :
      ( iext(uri_owl_someValuesFrom,X6,uri_ex_c)
      & iext(uri_owl_onProperty,X6,uri_ex_p)
      & iext(uri_rdf_type,X6,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,X6)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox/tmp/tmp.WBU9K8NyCX/Vampire---4.8_20014',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.WBU9K8NyCX/Vampire---4.8_20014',rdfs_cext_def) ).

fof(f48,plain,
    ( ~ icext(sK1,uri_ex_s)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl2_2
  <=> icext(sK1,uri_ex_s) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f55,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f54]) ).

fof(f54,plain,
    ( $false
    | spl2_3 ),
    inference(resolution,[],[f52,f30]) ).

fof(f30,plain,
    iext(uri_owl_someValuesFrom,sK1,uri_ex_c),
    inference(cnf_transformation,[],[f18]) ).

fof(f52,plain,
    ( ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl2_3
  <=> iext(uri_owl_someValuesFrom,sK1,uri_ex_c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f53,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f44,f41,f50,f46]) ).

fof(f41,plain,
    ( spl2_1
  <=> ! [X1] :
        ( ~ icext(X1,uri_ex_s)
        | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
        | ~ iext(uri_owl_onProperty,X1,uri_ex_p) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f44,plain,
    ( ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
    | ~ icext(sK1,uri_ex_s)
    | ~ spl2_1 ),
    inference(resolution,[],[f42,f29]) ).

fof(f29,plain,
    iext(uri_owl_onProperty,sK1,uri_ex_p),
    inference(cnf_transformation,[],[f18]) ).

fof(f42,plain,
    ( ! [X1] :
        ( ~ iext(uri_owl_onProperty,X1,uri_ex_p)
        | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
        | ~ icext(X1,uri_ex_s) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f43,plain,
    ( spl2_1
    | spl2_1 ),
    inference(avatar_split_clause,[],[f39,f41,f41]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
      | ~ icext(X0,uri_ex_s)
      | ~ iext(uri_owl_onProperty,X0,uri_ex_p)
      | ~ icext(X1,uri_ex_s)
      | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
      | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c) ),
    inference(resolution,[],[f38,f22]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] :
      ( icext(X2,sK0(X1,X2,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) ) )
          & ( ( icext(X2,sK0(X1,X2,X3))
              & iext(X1,X3,sK0(X1,X2,X3)) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

fof(f15,plain,
    ! [X1,X2,X3] :
      ( ? [X5] :
          ( icext(X2,X5)
          & iext(X1,X3,X5) )
     => ( icext(X2,sK0(X1,X2,X3))
        & iext(X1,X3,sK0(X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) ) )
          & ( ? [X5] :
                ( icext(X2,X5)
                & iext(X1,X3,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(rectify,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) ) )
          & ( ? [X4] :
                ( icext(X2,X4)
                & iext(X1,X3,X4) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(flattening,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_someValuesFrom,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( ( iext(uri_owl_onProperty,X2,X3)
        & iext(uri_owl_someValuesFrom,X2,X1) )
     => ! [X0] :
          ( icext(X2,X0)
        <=> ? [X4] :
              ( icext(X1,X4)
              & iext(X3,X0,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.WBU9K8NyCX/Vampire---4.8_20014',owl_restrict_somevaluesfrom) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ icext(uri_ex_c,sK0(uri_ex_p,X1,uri_ex_s))
      | ~ iext(uri_owl_someValuesFrom,X0,X1)
      | ~ icext(X0,uri_ex_s)
      | ~ iext(uri_owl_onProperty,X0,uri_ex_p) ),
    inference(resolution,[],[f36,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,sK0(uri_ex_p,X1,uri_ex_s),uri_ex_c)
      | ~ iext(uri_owl_onProperty,X0,uri_ex_p)
      | ~ iext(uri_owl_someValuesFrom,X0,X1)
      | ~ icext(X0,uri_ex_s) ),
    inference(resolution,[],[f21,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ iext(uri_ex_p,uri_ex_s,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ~ ? [X0] :
        ( iext(uri_rdf_type,X0,uri_ex_c)
        & iext(uri_ex_p,uri_ex_s,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ? [X5] :
        ( iext(uri_rdf_type,X5,uri_ex_c)
        & iext(uri_ex_p,uri_ex_s,X5) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ? [X5] :
      ( iext(uri_rdf_type,X5,uri_ex_c)
      & iext(uri_ex_p,uri_ex_s,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.WBU9K8NyCX/Vampire---4.8_20014',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( iext(X1,X3,sK0(X1,X2,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.12  % 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
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 18:42:07 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_NEQ problem
% 0.11/0.32  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.WBU9K8NyCX/Vampire---4.8_20014
% 0.60/0.78  % (20128)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)
% 0.60/0.78  % (20125)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)
% 0.60/0.78  % (20127)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (20126)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)
% 0.60/0.78  % (20130)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)
% 0.60/0.78  % (20129)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)
% 0.60/0.78  % (20131)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)
% 0.60/0.78  % (20132)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)
% 0.60/0.78  % (20130)Refutation not found, incomplete strategy% (20130)------------------------------
% 0.60/0.78  % (20130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (20128)Refutation not found, incomplete strategy% (20128)------------------------------
% 0.60/0.78  % (20128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (20128)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (20128)Memory used [KB]: 943
% 0.60/0.78  % (20128)Time elapsed: 0.002 s
% 0.60/0.78  % (20128)Instructions burned: 2 (million)
% 0.60/0.78  % (20132)Refutation not found, incomplete strategy% (20132)------------------------------
% 0.60/0.78  % (20132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (20132)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (20132)Memory used [KB]: 943
% 0.60/0.78  % (20132)Time elapsed: 0.002 s
% 0.60/0.78  % (20132)Instructions burned: 2 (million)
% 0.60/0.78  % (20128)------------------------------
% 0.60/0.78  % (20128)------------------------------
% 0.60/0.78  % (20132)------------------------------
% 0.60/0.78  % (20132)------------------------------
% 0.60/0.78  % (20131)Refutation not found, incomplete strategy% (20131)------------------------------
% 0.60/0.78  % (20131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (20131)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (20131)Memory used [KB]: 949
% 0.60/0.78  % (20131)Time elapsed: 0.002 s
% 0.60/0.78  % (20131)Instructions burned: 2 (million)
% 0.60/0.78  % (20129)Refutation not found, incomplete strategy% (20129)------------------------------
% 0.60/0.78  % (20129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (20129)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (20129)Memory used [KB]: 978
% 0.60/0.78  % (20129)Time elapsed: 0.003 s
% 0.60/0.78  % (20129)Instructions burned: 2 (million)
% 0.60/0.78  % (20130)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (20130)Memory used [KB]: 943
% 0.60/0.78  % (20130)Time elapsed: 0.003 s
% 0.60/0.78  % (20130)Instructions burned: 2 (million)
% 0.60/0.78  % (20131)------------------------------
% 0.60/0.78  % (20131)------------------------------
% 0.60/0.78  % (20126)First to succeed.
% 0.60/0.78  % (20129)------------------------------
% 0.60/0.78  % (20129)------------------------------
% 0.60/0.78  % (20125)Also succeeded, but the first one will report.
% 0.60/0.78  % (20130)------------------------------
% 0.60/0.78  % (20130)------------------------------
% 0.60/0.78  % (20127)Also succeeded, but the first one will report.
% 0.60/0.78  % (20126)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20124"
% 0.60/0.78  % (20126)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Theorem for Vampire---4
% 0.60/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78  % (20126)------------------------------
% 0.60/0.78  % (20126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (20126)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (20126)Memory used [KB]: 996
% 0.60/0.78  % (20126)Time elapsed: 0.004 s
% 0.60/0.78  % (20126)Instructions burned: 4 (million)
% 0.60/0.78  % (20124)Success in time 0.452 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------