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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n010.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 18:37:18 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   90 (  30   ~;  24   |;  32   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   44 (  36   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,plain,
    $false,
    inference(resolution,[],[f25,f16]) ).

fof(f16,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f25,plain,
    ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(resolution,[],[f24,f12]) ).

fof(f12,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[],[f2]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ iext(uri_skos_altLabel,X0,X1)
      | ~ iext(uri_skos_prefLabel,X0,X1) ),
    inference(resolution,[],[f21,f11]) ).

fof(f11,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(cnf_transformation,[],[f2]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_propertyDisjointWith,X1,X0)
      | ~ iext(X0,X3,X2)
      | ~ iext(X1,X3,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ( ( ! [X2,X3] :
              ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X3,X2) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X1,X0) )
      & ( iext(uri_owl_propertyDisjointWith,X1,X0)
        | ( iext(X1,sK1(X0,X1),sK0(X0,X1))
          & iext(X0,sK1(X0,X1),sK0(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ? [X4,X5] :
          ( iext(X1,X5,X4)
          & iext(X0,X5,X4) )
     => ( iext(X1,sK1(X0,X1),sK0(X0,X1))
        & iext(X0,sK1(X0,X1),sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ( ( ! [X2,X3] :
              ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X3,X2) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X1,X0) )
      & ( iext(uri_owl_propertyDisjointWith,X1,X0)
        | ? [X4,X5] :
            ( iext(X1,X5,X4)
            & iext(X0,X5,X4) )
        | ~ ip(X1)
        | ~ ip(X0) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ( ( ! [X2,X3] :
              ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X3,X2) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X1,X0) )
      & ( iext(uri_owl_propertyDisjointWith,X1,X0)
        | ? [X2,X3] :
            ( iext(X1,X3,X2)
            & iext(X0,X3,X2) )
        | ~ ip(X1)
        | ~ ip(X0) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ( ( ! [X2,X3] :
              ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X3,X2) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X1,X0) )
      & ( iext(uri_owl_propertyDisjointWith,X1,X0)
        | ? [X2,X3] :
            ( iext(X1,X3,X2)
            & iext(X0,X3,X2) )
        | ~ ip(X1)
        | ~ ip(X0) ) ),
    inference(nnf_transformation,[],[f4]) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWB019+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 17:24:29 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (4455)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51  % (4450)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51  % (4454)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52  % (4456)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52  % (4474)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.52  % (4456)First to succeed.
% 0.20/0.52  % (4448)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.52  % (4461)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.52  % (4475)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.52  % (4453)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52  % (4456)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (4456)------------------------------
% 0.20/0.52  % (4456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (4456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (4456)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (4456)Memory used [KB]: 5373
% 0.20/0.52  % (4456)Time elapsed: 0.112 s
% 0.20/0.52  % (4456)Instructions burned: 2 (million)
% 0.20/0.52  % (4456)------------------------------
% 0.20/0.52  % (4456)------------------------------
% 0.20/0.52  % (4445)Success in time 0.167 s
%------------------------------------------------------------------------------