TSTP Solution File: SWB019+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB019+2 : 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 : n002.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 18:36:26 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   87 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  100 (  32   ~;  27   |;  35   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   52 (  44   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,plain,
    $false,
    inference(unit_resulting_resolution,[],[f27,f26,f21,f14]) ).

fof(f14,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(X1,X5,X4)
      | ~ iext(X0,X5,X4)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ~ ip(X0)
        | ( iext(X0,sK2(X0,X1),sK1(X0,X1))
          & iext(X1,sK2(X0,X1),sK1(X0,X1)) )
        | ~ ip(X1) )
      & ( ( ip(X0)
          & ! [X4,X5] :
              ( ~ iext(X0,X5,X4)
              | ~ iext(X1,X5,X4) )
          & ip(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f9,f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( iext(X0,X3,X2)
          & iext(X1,X3,X2) )
     => ( iext(X0,sK2(X0,X1),sK1(X0,X1))
        & iext(X1,sK2(X0,X1),sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ~ ip(X0)
        | ? [X2,X3] :
            ( iext(X0,X3,X2)
            & iext(X1,X3,X2) )
        | ~ ip(X1) )
      & ( ( ip(X0)
          & ! [X4,X5] :
              ( ~ iext(X0,X5,X4)
              | ~ iext(X1,X5,X4) )
          & ip(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X1,X3,X2)
            & iext(X0,X3,X2) )
        | ~ ip(X0) )
      & ( ( ip(X1)
          & ! [X2,X3] :
              ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X3,X2) )
          & ip(X0) )
        | ~ sP0(X1,X0) ) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X1,X3,X2)
            & iext(X0,X3,X2) )
        | ~ ip(X0) )
      & ( ( ip(X1)
          & ! [X2,X3] :
              ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X3,X2) )
          & ip(X0) )
        | ~ sP0(X1,X0) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X1,X0] :
      ( sP0(X1,X0)
    <=> ( ip(X1)
        & ! [X2,X3] :
            ( ~ iext(X1,X3,X2)
            | ~ iext(X0,X3,X2) )
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f21,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_019_Disjoint_Annotation_Properties) ).

fof(f26,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[],[f2]) ).

fof(f27,plain,
    sP0(uri_skos_altLabel,uri_skos_prefLabel),
    inference(unit_resulting_resolution,[],[f23,f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_propertyDisjointWith,X0,X1)
      | sP0(X1,X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ sP0(X1,X0) )
      & ( sP0(X1,X0)
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> sP0(X1,X0) ),
    inference(definition_folding,[],[f4,f5]) ).

fof(f4,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ip(X1)
        & ! [X2,X3] :
            ( ~ iext(X1,X3,X2)
            | ~ iext(X0,X3,X2) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ! [X0,X1] :
      ( ( ! [X3,X2] :
            ~ ( iext(X0,X3,X2)
              & iext(X1,X3,X2) )
        & ip(X0)
        & ip(X1) )
    <=> iext(uri_owl_propertyDisjointWith,X0,X1) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ( ip(X0)
        & ip(X1)
        & ! [X3,X2] :
            ~ ( iext(X0,X2,X3)
              & iext(X1,X2,X3) ) )
    <=> iext(uri_owl_propertyDisjointWith,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f23,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(cnf_transformation,[],[f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWB019+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n002.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 Aug 30 17:43:59 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (31773)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.49  % (31765)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49  % (31758)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.50  % (31758)First to succeed.
% 0.21/0.50  % (31758)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (31758)------------------------------
% 0.21/0.50  % (31758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (31758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (31758)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (31758)Memory used [KB]: 5884
% 0.21/0.50  % (31758)Time elapsed: 0.092 s
% 0.21/0.50  % (31758)Instructions burned: 2 (million)
% 0.21/0.50  % (31758)------------------------------
% 0.21/0.50  % (31758)------------------------------
% 0.21/0.50  % (31746)Success in time 0.137 s
%------------------------------------------------------------------------------