TSTP Solution File: SWB087+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB087+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n023.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 Aug 31 18:36:57 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   84 (  39   ~;  28   |;   7   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f896,plain,
    $false,
    inference(avatar_sat_refutation,[],[f798,f892,f895]) ).

fof(f895,plain,
    ~ spl5_1,
    inference(avatar_contradiction_clause,[],[f893]) ).

fof(f893,plain,
    ( $false
    | ~ spl5_1 ),
    inference(resolution,[],[f794,f749]) ).

fof(f749,plain,
    iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_ex_p,uri_ex_w,uri_ex_w)
    & iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_hasself_inst_subj) ).

fof(f794,plain,
    ( ! [X4] : ~ iext(uri_owl_hasSelf,uri_ex_z,X4)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f793,plain,
    ( spl5_1
  <=> ! [X4] : ~ iext(uri_owl_hasSelf,uri_ex_z,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f892,plain,
    ~ spl5_2,
    inference(avatar_contradiction_clause,[],[f891]) ).

fof(f891,plain,
    ( $false
    | ~ spl5_2 ),
    inference(resolution,[],[f866,f751]) ).

fof(f751,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f866,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    | ~ spl5_2 ),
    inference(resolution,[],[f797,f750]) ).

fof(f750,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_w),
    inference(cnf_transformation,[],[f561]) ).

fof(f797,plain,
    ( ! [X5] :
        ( ~ iext(X5,uri_ex_w,uri_ex_w)
        | ~ iext(uri_owl_onProperty,uri_ex_z,X5) )
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl5_2
  <=> ! [X5] :
        ( ~ iext(X5,uri_ex_w,uri_ex_w)
        | ~ iext(uri_owl_onProperty,uri_ex_z,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f798,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f789,f796,f793]) ).

fof(f789,plain,
    ! [X4,X5] :
      ( ~ iext(X5,uri_ex_w,uri_ex_w)
      | ~ iext(uri_owl_hasSelf,uri_ex_z,X4)
      | ~ iext(uri_owl_onProperty,uri_ex_z,X5) ),
    inference(resolution,[],[f786,f700]) ).

fof(f700,plain,
    ! [X2,X3,X0,X1] :
      ( icext(X2,X3)
      | ~ iext(uri_owl_hasSelf,X2,X1)
      | ~ iext(uri_owl_onProperty,X2,X0)
      | ~ iext(X0,X3,X3) ),
    inference(cnf_transformation,[],[f655]) ).

fof(f655,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( iext(X0,X3,X3)
            | ~ icext(X2,X3) )
          & ( icext(X2,X3)
            | ~ iext(X0,X3,X3) ) )
      | ~ iext(uri_owl_hasSelf,X2,X1)
      | ~ iext(uri_owl_onProperty,X2,X0) ),
    inference(rectify,[],[f654]) ).

fof(f654,plain,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( ( iext(X0,X3,X3)
            | ~ icext(X1,X3) )
          & ( icext(X1,X3)
            | ~ iext(X0,X3,X3) ) )
      | ~ iext(uri_owl_hasSelf,X1,X2)
      | ~ iext(uri_owl_onProperty,X1,X0) ),
    inference(nnf_transformation,[],[f620]) ).

fof(f620,plain,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( iext(X0,X3,X3)
        <=> icext(X1,X3) )
      | ~ iext(uri_owl_hasSelf,X1,X2)
      | ~ iext(uri_owl_onProperty,X1,X0) ),
    inference(flattening,[],[f619]) ).

fof(f619,plain,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( iext(X0,X3,X3)
        <=> icext(X1,X3) )
      | ~ iext(uri_owl_onProperty,X1,X0)
      | ~ iext(uri_owl_hasSelf,X1,X2) ),
    inference(ennf_transformation,[],[f579]) ).

fof(f579,plain,
    ! [X0,X2,X1] :
      ( ( iext(uri_owl_onProperty,X1,X0)
        & iext(uri_owl_hasSelf,X1,X2) )
     => ! [X3] :
          ( iext(X0,X3,X3)
        <=> icext(X1,X3) ) ),
    inference(rectify,[],[f314]) ).

fof(f314,axiom,
    ! [X1,X10,X30] :
      ( ( iext(uri_owl_onProperty,X10,X1)
        & iext(uri_owl_hasSelf,X10,X30) )
     => ! [X3] :
          ( iext(X1,X3,X3)
        <=> icext(X10,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).

fof(f786,plain,
    ~ icext(uri_ex_z,uri_ex_w),
    inference(resolution,[],[f758,f695]) ).

fof(f695,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f652]) ).

fof(f652,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f566]) ).

fof(f566,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f758,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_hasself_inst_subj) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWB087+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:08:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (25375)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52  % (25378)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52  % (25383)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (25358)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (25375)First to succeed.
% 0.20/0.53  % (25375)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Theorem for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (25375)------------------------------
% 0.20/0.53  % (25375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (25375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (25375)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (25375)Memory used [KB]: 6524
% 0.20/0.53  % (25375)Time elapsed: 0.119 s
% 0.20/0.53  % (25375)Instructions burned: 8 (million)
% 0.20/0.53  % (25375)------------------------------
% 0.20/0.53  % (25375)------------------------------
% 0.20/0.53  % (25347)Success in time 0.178 s
%------------------------------------------------------------------------------