TSTP Solution File: SWB008+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB008+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 : n032.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 03:58:15 EDT 2024

% Result   : Theorem 0.14s 0.57s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (  12 unt;   0 def)
%            Number of atoms       :  127 (  24 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  137 (  50   ~;  44   |;  31   &)
%                                         (   9 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   67 (  55   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f114,plain,
    $false,
    inference(avatar_sat_refutation,[],[f101,f107,f113]) ).

fof(f113,plain,
    ~ spl3_12,
    inference(avatar_contradiction_clause,[],[f112]) ).

fof(f112,plain,
    ( $false
    | ~ spl3_12 ),
    inference(resolution,[],[f111,f33]) ).

fof(f33,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X2] :
      ( iext(uri_owl_sameAs,X0,X2)
    <=> X0 = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.BtbtRaeGL8/Vampire---4.8_21867',owl_eqdis_sameas) ).

fof(f111,plain,
    ( ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob)
    | ~ spl3_12 ),
    inference(superposition,[],[f28,f109]) ).

fof(f109,plain,
    ( uri_ex_bob = uri_ex_robert
    | ~ spl3_12 ),
    inference(resolution,[],[f100,f32]) ).

fof(f32,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox/tmp/tmp.BtbtRaeGL8/Vampire---4.8_21867',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f100,plain,
    ( ! [X0] :
        ( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
        | uri_ex_bob = X0 )
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl3_12
  <=> ! [X0] :
        ( uri_ex_bob = X0
        | ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f28,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(flattening,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox/tmp/tmp.BtbtRaeGL8/Vampire---4.8_21867',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f107,plain,
    spl3_11,
    inference(avatar_contradiction_clause,[],[f106]) ).

fof(f106,plain,
    ( $false
    | spl3_11 ),
    inference(resolution,[],[f97,f35]) ).

fof(f35,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
    inference(resolution,[],[f19,f30]) ).

fof(f30,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f6]) ).

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.BtbtRaeGL8/Vampire---4.8_21867',rdfs_cext_def) ).

fof(f97,plain,
    ( ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
    | spl3_11 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl3_11
  <=> icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f101,plain,
    ( ~ spl3_11
    | spl3_12 ),
    inference(avatar_split_clause,[],[f80,f99,f95]) ).

fof(f80,plain,
    ! [X0] :
      ( uri_ex_bob = X0
      | ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
      | ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
    inference(resolution,[],[f24,f31]) ).

fof(f31,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ! [X0,X6,X4,X5] :
      ( ~ iext(X0,X5,X6)
      | X4 = X5
      | ~ iext(X0,X4,X6)
      | ~ icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ( sK0(X0) != sK1(X0)
          & iext(X0,sK1(X0),sK2(X0))
          & iext(X0,sK0(X0),sK2(X0)) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X1 != X2
          & iext(X0,X2,X3)
          & iext(X0,X1,X3) )
     => ( sK0(X0) != sK1(X0)
        & iext(X0,sK1(X0),sK2(X0))
        & iext(X0,sK0(X0),sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X3] :
      ( icext(uri_owl_InverseFunctionalProperty,X3)
    <=> ( ! [X4,X5,X2] :
            ( ( iext(X3,X5,X2)
              & iext(X3,X4,X2) )
           => X4 = X5 )
        & ip(X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BtbtRaeGL8/Vampire---4.8_21867',owl_char_inversefunctional) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10  % 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
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Tue Apr 30 17:44:06 EDT 2024
% 0.10/0.29  % CPUTime    : 
% 0.10/0.29  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.29  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.BtbtRaeGL8/Vampire---4.8_21867
% 0.14/0.56  % (22114)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 (2997ds/34Mi)
% 0.14/0.56  % (22115)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 (2997ds/51Mi)
% 0.14/0.56  % (22117)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.14/0.56  % (22116)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.14/0.56  % (22120)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 (2997ds/83Mi)
% 0.14/0.56  % (22117)Refutation not found, incomplete strategy% (22117)------------------------------
% 0.14/0.56  % (22117)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.56  % (22121)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 (2997ds/56Mi)
% 0.14/0.56  % (22117)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.56  
% 0.14/0.56  % (22117)Memory used [KB]: 949
% 0.14/0.56  % (22117)Time elapsed: 0.003 s
% 0.14/0.56  % (22117)Instructions burned: 2 (million)
% 0.14/0.56  % (22117)------------------------------
% 0.14/0.56  % (22117)------------------------------
% 0.14/0.56  % (22118)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 (2997ds/34Mi)
% 0.14/0.56  % (22115)First to succeed.
% 0.14/0.56  % (22120)Refutation not found, incomplete strategy% (22120)------------------------------
% 0.14/0.56  % (22120)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.56  % (22121)Refutation not found, incomplete strategy% (22121)------------------------------
% 0.14/0.56  % (22121)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.56  % (22118)Refutation not found, incomplete strategy% (22118)------------------------------
% 0.14/0.56  % (22118)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.56  % (22118)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.56  % (22121)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.56  
% 0.14/0.56  
% 0.14/0.56  % (22118)Memory used [KB]: 954
% 0.14/0.56  % (22118)Time elapsed: 0.002 s
% 0.14/0.56  % (22121)Memory used [KB]: 949
% 0.14/0.56  % (22118)Instructions burned: 2 (million)
% 0.14/0.56  % (22121)Time elapsed: 0.003 s
% 0.14/0.56  % (22118)------------------------------
% 0.14/0.56  % (22118)------------------------------
% 0.14/0.56  % (22121)Instructions burned: 2 (million)
% 0.14/0.56  % (22121)------------------------------
% 0.14/0.56  % (22121)------------------------------
% 0.14/0.56  % (22120)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.56  
% 0.14/0.56  % (22120)Memory used [KB]: 948
% 0.14/0.56  % (22120)Time elapsed: 0.003 s
% 0.14/0.57  % (22120)Instructions burned: 2 (million)
% 0.14/0.57  % (22120)------------------------------
% 0.14/0.57  % (22120)------------------------------
% 0.14/0.57  % (22116)Also succeeded, but the first one will report.
% 0.14/0.57  % (22114)Refutation not found, incomplete strategy% (22114)------------------------------
% 0.14/0.57  % (22114)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  % (22114)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.57  
% 0.14/0.57  % (22114)Memory used [KB]: 951
% 0.14/0.57  % (22114)Time elapsed: 0.004 s
% 0.14/0.57  % (22114)Instructions burned: 2 (million)
% 0.14/0.57  % (22114)------------------------------
% 0.14/0.57  % (22114)------------------------------
% 0.14/0.57  % (22115)Refutation found. Thanks to Tanya!
% 0.14/0.57  % SZS status Theorem for Vampire---4
% 0.14/0.57  % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.57  % (22115)------------------------------
% 0.14/0.57  % (22115)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  % (22115)Termination reason: Refutation
% 0.14/0.57  
% 0.14/0.57  % (22115)Memory used [KB]: 1006
% 0.14/0.57  % (22115)Time elapsed: 0.004 s
% 0.14/0.57  % (22115)Instructions burned: 5 (million)
% 0.14/0.57  % (22115)------------------------------
% 0.14/0.57  % (22115)------------------------------
% 0.14/0.57  % (22110)Success in time 0.269 s
% 0.14/0.57  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.14/0.57  22110 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.BtbtRaeGL8/Vampire---4.8_21867
% 0.14/0.57  % (22110)------------------------------
% 0.14/0.57  % (22110)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  % (22110)Termination reason: Unknown
% 0.14/0.57  % (22110)Termination phase: Unknown
% 0.14/0.57  
% 0.14/0.57  % (22110)Memory used [KB]: 440
% 0.14/0.57  % (22110)Time elapsed: 0.269 s
% 0.14/0.57  % (22110)Instructions burned: 953 (million)
% 0.14/0.57  % Exception at proof search level
% 0.14/0.57  System fail: Cannot decrease semaphore. error 43: Identifier removed
% 0.14/0.57  % (22110)------------------------------
% 0.14/0.57  % (22110)------------------------------
% 0.14/0.57  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  ???
% 0.14/0.57   ???
% 0.14/0.57    ???
% 0.14/0.57     ???
% 0.14/0.57      ???
% 0.14/0.57       ???
% 0.14/0.57        ???
% 0.14/0.57         ???
% 0.14/0.57          ???
% 0.14/0.57           ???
% 0.14/0.57            ???
% 0.14/0.57             ???
% 0.14/0.57              ???
% 0.14/0.57               ???
% 0.14/0.57                ???
% 0.14/0.57                 ???
% 0.14/0.57                  ???
% 0.14/0.57                   ???
% 0.14/0.57                    ???
% 0.14/0.57                     ???
% 0.14/0.57  % Vampire---4.8 exiting
%------------------------------------------------------------------------------