TSTP Solution File: SWB019+2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB019+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 : Tue Apr 30 15:41:50 EDT 2024

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   99 (  34   ~;  28   |;  32   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 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   :   49 (  41   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,plain,
    $false,
    inference(subsumption_resolution,[],[f46,f26]) ).

fof(f26,plain,
    sP0(uri_skos_altLabel,uri_skos_prefLabel),
    inference(resolution,[],[f24,f16]) ).

fof(f16,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f24,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_propertyDisjointWith,X0,X1)
      | sP0(X1,X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ sP0(X1,X0) )
      & ( sP0(X1,X0)
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> sP0(X1,X0) ),
    inference(definition_folding,[],[f3,f4]) ).

fof(f4,plain,
    ! [X1,X0] :
      ( sP0(X1,X0)
    <=> ( ! [X2,X3] :
            ( ~ iext(X1,X2,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

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

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

fof(f46,plain,
    ~ sP0(uri_skos_altLabel,uri_skos_prefLabel),
    inference(resolution,[],[f36,f17]) ).

fof(f17,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[],[f2]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ iext(X0,uri_ex_foo,literal_plain(dat_str_foo))
      | ~ sP0(uri_skos_altLabel,X0) ),
    inference(resolution,[],[f21,f18]) ).

fof(f18,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[],[f2]) ).

fof(f21,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(X0,X4,X5)
      | ~ iext(X1,X4,X5)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( iext(X0,sK1(X0,X1),sK2(X0,X1))
          & iext(X1,sK1(X0,X1),sK2(X0,X1)) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) )
          & ip(X0)
          & ip(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f8,f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( iext(X0,X2,X3)
          & iext(X1,X2,X3) )
     => ( iext(X0,sK1(X0,X1),sK2(X0,X1))
        & iext(X1,sK1(X0,X1),sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) )
          & ip(X0)
          & ip(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ~ iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ sP0(X1,X0) ) ),
    inference(flattening,[],[f6]) ).

fof(f6,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ~ iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ sP0(X1,X0) ) ),
    inference(nnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWB019+2 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Tue Apr 30 02:25:25 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  % (31032)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (31034)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38  % (31038)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38  % (31037)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38  % (31035)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38  % (31036)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38  Detected minimum model sizes of [1,1]
% 0.21/0.38  Detected maximum model sizes of [max,1]
% 0.21/0.38  TRYING [1,1]
% 0.21/0.39  % (31037)First to succeed.
% 0.21/0.39  TRYING [2,1]
% 0.21/0.39  Detected minimum model sizes of [1,1]
% 0.21/0.39  Detected maximum model sizes of [max,1]
% 0.21/0.39  TRYING [1,1]
% 0.21/0.39  % (31039)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39  % (31038)Also succeeded, but the first one will report.
% 0.21/0.39  TRYING [2,1]
% 0.21/0.39  TRYING [3,1]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  % (31035)Also succeeded, but the first one will report.
% 0.21/0.39  TRYING [2]
% 0.21/0.39  % (31037)Refutation found. Thanks to Tanya!
% 0.21/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39  % (31037)------------------------------
% 0.21/0.39  % (31037)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39  % (31037)Termination reason: Refutation
% 0.21/0.39  
% 0.21/0.39  % (31037)Memory used [KB]: 750
% 0.21/0.39  % (31037)Time elapsed: 0.003 s
% 0.21/0.39  % (31037)Instructions burned: 3 (million)
% 0.21/0.39  % (31037)------------------------------
% 0.21/0.39  % (31037)------------------------------
% 0.21/0.39  % (31032)Success in time 0.016 s
%------------------------------------------------------------------------------