TSTP Solution File: SWB011+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB011+1 : 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 : n006.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 15:41:43 EDT 2024

% Result   : Unsatisfiable 9.48s 1.80s
% Output   : Refutation 9.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   46 (  11 unt;   0 def)
%            Number of atoms       :  183 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  203 (  66   ~;  59   |;  60   &)
%                                         (  14 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   97 (  85   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86738,plain,
    $false,
    inference(unit_resulting_resolution,[],[f26174,f4686,f23714,f3032]) ).

fof(f3032,plain,
    ! [X3,X0,X1] :
      ( ~ sP36(X0,X1)
      | ~ icext(X1,X3)
      | ~ icext(X0,X3) ),
    inference(cnf_transformation,[],[f1807]) ).

fof(f1807,plain,
    ! [X0,X1] :
      ( ( sP36(X0,X1)
        | ( icext(X0,sK239(X0,X1))
          & icext(X1,sK239(X0,X1)) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP36(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK239])],[f1805,f1806]) ).

fof(f1806,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( icext(X0,X2)
          & icext(X1,X2) )
     => ( icext(X0,sK239(X0,X1))
        & icext(X1,sK239(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1805,plain,
    ! [X0,X1] :
      ( ( sP36(X0,X1)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP36(X0,X1) ) ),
    inference(rectify,[],[f1804]) ).

fof(f1804,plain,
    ! [X1,X0] :
      ( ( sP36(X1,X0)
        | ? [X2] :
            ( icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP36(X1,X0) ) ),
    inference(flattening,[],[f1803]) ).

fof(f1803,plain,
    ! [X1,X0] :
      ( ( sP36(X1,X0)
        | ? [X2] :
            ( icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP36(X1,X0) ) ),
    inference(nnf_transformation,[],[f1385]) ).

fof(f1385,plain,
    ! [X1,X0] :
      ( sP36(X1,X0)
    <=> ( ! [X2] :
            ( ~ icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f23714,plain,
    sP36(uri_owl_ObjectProperty,uri_owl_Class),
    inference(unit_resulting_resolution,[],[f2475,f3035]) ).

fof(f3035,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_disjointWith,X0,X1)
      | sP36(X1,X0) ),
    inference(cnf_transformation,[],[f1808]) ).

fof(f1808,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ sP36(X1,X0) )
      & ( sP36(X1,X0)
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f1386]) ).

fof(f1386,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> sP36(X1,X0) ),
    inference(definition_folding,[],[f1162,f1385]) ).

fof(f1162,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f828]) ).

fof(f828,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ! [X2] :
            ~ ( icext(X1,X2)
              & icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f350]) ).

fof(f350,axiom,
    ! [X12,X14] :
      ( iext(uri_owl_disjointWith,X12,X14)
    <=> ( ! [X3] :
            ~ ( icext(X14,X3)
              & icext(X12,X3) )
        & ic(X14)
        & ic(X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

fof(f2475,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(cnf_transformation,[],[f559]) ).

fof(f559,axiom,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_011_Entity_Types_as_Classes) ).

fof(f4686,plain,
    icext(uri_owl_Class,uri_rdf_Property),
    inference(unit_resulting_resolution,[],[f2371,f2661]) ).

fof(f2661,plain,
    ! [X0] :
      ( ~ ic(X0)
      | icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[],[f1638]) ).

fof(f1638,plain,
    ! [X0] :
      ( ( icext(uri_owl_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f680]) ).

fof(f680,plain,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
    <=> ic(X0) ),
    inference(rectify,[],[f119]) ).

fof(f119,axiom,
    ! [X3] :
      ( icext(uri_owl_Class,X3)
    <=> ic(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

fof(f2371,plain,
    ic(uri_rdf_Property),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,axiom,
    ic(uri_rdf_Property),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_property_type) ).

fof(f26174,plain,
    icext(uri_owl_ObjectProperty,uri_rdf_Property),
    inference(unit_resulting_resolution,[],[f26168,f2663]) ).

fof(f2663,plain,
    ! [X0] :
      ( ~ ip(X0)
      | icext(uri_owl_ObjectProperty,X0) ),
    inference(cnf_transformation,[],[f1639]) ).

fof(f1639,plain,
    ! [X0] :
      ( ( icext(uri_owl_ObjectProperty,X0)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ icext(uri_owl_ObjectProperty,X0) ) ),
    inference(nnf_transformation,[],[f681]) ).

fof(f681,plain,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
    <=> ip(X0) ),
    inference(rectify,[],[f147]) ).

fof(f147,axiom,
    ! [X3] :
      ( icext(uri_owl_ObjectProperty,X3)
    <=> ip(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

fof(f26168,plain,
    ip(uri_rdf_Property),
    inference(unit_resulting_resolution,[],[f26129,f3059]) ).

fof(f3059,plain,
    ! [X0,X1] :
      ( ~ sP40(X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f1831]) ).

fof(f1831,plain,
    ! [X0,X1] :
      ( ( sP40(X0,X1)
        | ( ~ icext(X0,sK246(X0,X1))
          & iext(X1,sK245(X0,X1),sK246(X0,X1)) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( icext(X0,X5)
              | ~ iext(X1,X4,X5) )
          & ip(X0)
          & ip(X1) )
        | ~ sP40(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK245,sK246])],[f1829,f1830]) ).

fof(f1830,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X0,X3)
          & iext(X1,X2,X3) )
     => ( ~ icext(X0,sK246(X0,X1))
        & iext(X1,sK245(X0,X1),sK246(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1829,plain,
    ! [X0,X1] :
      ( ( sP40(X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X0,X3)
            & iext(X1,X2,X3) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( icext(X0,X5)
              | ~ iext(X1,X4,X5) )
          & ip(X0)
          & ip(X1) )
        | ~ sP40(X0,X1) ) ),
    inference(rectify,[],[f1828]) ).

fof(f1828,plain,
    ! [X1,X0] :
      ( ( sP40(X1,X0)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ sP40(X1,X0) ) ),
    inference(flattening,[],[f1827]) ).

fof(f1827,plain,
    ! [X1,X0] :
      ( ( sP40(X1,X0)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ sP40(X1,X0) ) ),
    inference(nnf_transformation,[],[f1393]) ).

fof(f1393,plain,
    ! [X1,X0] :
      ( sP40(X1,X0)
    <=> ( ! [X2,X3] :
            ( icext(X1,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f26129,plain,
    sP40(uri_rdf_Property,uri_rdfs_subPropertyOf),
    inference(unit_resulting_resolution,[],[f2445,f3063]) ).

fof(f3063,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | sP40(X1,X0) ),
    inference(cnf_transformation,[],[f1832]) ).

fof(f1832,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ~ sP40(X1,X0) )
      & ( sP40(X1,X0)
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(nnf_transformation,[],[f1394]) ).

fof(f1394,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> sP40(X1,X0) ),
    inference(definition_folding,[],[f1166,f1393]) ).

fof(f1166,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( icext(X1,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f832]) ).

fof(f832,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f342]) ).

fof(f342,axiom,
    ! [X1,X4] :
      ( iext(uri_rdfs_range,X1,X4)
    <=> ( ! [X3,X6] :
            ( iext(X1,X3,X6)
           => icext(X4,X6) )
        & ip(X4)
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_range) ).

fof(f2445,plain,
    iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_range) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWB011+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n006.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
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 02:18:05 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (25576)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (25577)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.41  % (25581)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.42  % (25579)WARNING: value z3 for option sas not known
% 0.21/0.42  % (25582)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.42  % (25583)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.42  % (25579)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.42  % (25580)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.42  % (25578)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 1.77/0.65  TRYING [1]
% 1.77/0.68  TRYING [2]
% 4.10/0.99  TRYING [3]
% 5.29/1.17  TRYING [1]
% 5.75/1.20  TRYING [2]
% 5.75/1.27  TRYING [1]
% 7.02/1.38  TRYING [2]
% 7.96/1.54  TRYING [3]
% 9.48/1.76  TRYING [4]
% 9.48/1.79  % (25583)First to succeed.
% 9.48/1.80  % (25583)Refutation found. Thanks to Tanya!
% 9.48/1.80  % SZS status Unsatisfiable for theBenchmark
% 9.48/1.80  % SZS output start Proof for theBenchmark
% See solution above
% 9.48/1.80  % (25583)------------------------------
% 9.48/1.80  % (25583)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 9.48/1.80  % (25583)Termination reason: Refutation
% 9.48/1.80  
% 9.48/1.80  % (25583)Memory used [KB]: 20038
% 9.48/1.80  % (25583)Time elapsed: 1.379 s
% 9.48/1.80  % (25583)Instructions burned: 2718 (million)
% 9.48/1.80  % (25583)------------------------------
% 9.48/1.80  % (25583)------------------------------
% 9.48/1.80  % (25576)Success in time 1.425 s
%------------------------------------------------------------------------------