TSTP Solution File: SWB054+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB054+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 : n014.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 18:36:50 EDT 2022

% Result   : Theorem 1.23s 0.54s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (  15 unt;   0 def)
%            Number of atoms       :  117 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  123 (  45   ~;  39   |;  27   &)
%                                         (   9 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   51 (  47   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f746,plain,
    $false,
    inference(subsumption_resolution,[],[f738,f681]) ).

fof(f681,plain,
    ic(uri_ex_c),
    inference(resolution,[],[f679,f613]) ).

fof(f613,plain,
    ! [X0] :
      ( ~ icext(uri_owl_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f596]) ).

fof(f596,plain,
    ! [X0] :
      ( ( ic(X0)
        | ~ icext(uri_owl_Class,X0) )
      & ( icext(uri_owl_Class,X0)
        | ~ ic(X0) ) ),
    inference(nnf_transformation,[],[f577]) ).

fof(f577,plain,
    ! [X0] :
      ( ic(X0)
    <=> icext(uri_owl_Class,X0) ),
    inference(rectify,[],[f119]) ).

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

fof(f679,plain,
    icext(uri_owl_Class,uri_ex_c),
    inference(resolution,[],[f627,f641]) ).

fof(f641,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_class_thing_term) ).

fof(f627,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f605]) ).

fof(f605,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f578]) ).

fof(f578,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(f738,plain,
    ~ ic(uri_ex_c),
    inference(resolution,[],[f736,f647]) ).

fof(f647,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_class_thing_term) ).

fof(f736,plain,
    ! [X4] :
      ( iext(uri_rdfs_subClassOf,X4,uri_owl_Thing)
      | ~ ic(X4) ),
    inference(subsumption_resolution,[],[f735,f637]) ).

fof(f637,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f569]) ).

fof(f569,plain,
    ! [X0] : ir(X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3] : ir(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

fof(f735,plain,
    ! [X4] :
      ( ~ ir(sK1(uri_owl_Thing,X4))
      | iext(uri_rdfs_subClassOf,X4,uri_owl_Thing)
      | ~ ic(X4) ),
    inference(subsumption_resolution,[],[f733,f630]) ).

fof(f630,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).

fof(f733,plain,
    ! [X4] :
      ( iext(uri_rdfs_subClassOf,X4,uri_owl_Thing)
      | ~ ic(uri_owl_Thing)
      | ~ ir(sK1(uri_owl_Thing,X4))
      | ~ ic(X4) ),
    inference(resolution,[],[f635,f645]) ).

fof(f645,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f611,plain,
    ! [X0] :
      ( ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) )
      & ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f563,plain,
    ! [X0] :
      ( ir(X0)
    <=> icext(uri_owl_Thing,X0) ),
    inference(rectify,[],[f163]) ).

fof(f163,axiom,
    ! [X3] :
      ( icext(uri_owl_Thing,X3)
    <=> ir(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f635,plain,
    ! [X0,X1] :
      ( ~ icext(X0,sK1(X0,X1))
      | ~ ic(X1)
      | iext(uri_rdfs_subClassOf,X1,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f610,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X1,X0)
        | ( ~ icext(X0,sK1(X0,X1))
          & icext(X1,sK1(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f608,f609]) ).

fof(f609,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X0,X2)
          & icext(X1,X2) )
     => ( ~ icext(X0,sK1(X0,X1))
        & icext(X1,sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X1,X0)
        | ? [X2] :
            ( ~ icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X1,X0) ) ),
    inference(rectify,[],[f607]) ).

fof(f607,plain,
    ! [X1,X0] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X0)
          & ic(X1) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f606]) ).

fof(f606,plain,
    ! [X1,X0] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X0)
          & ic(X1) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f587]) ).

fof(f587,plain,
    ! [X1,X0] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X0)
        & ic(X1) ) ),
    inference(ennf_transformation,[],[f568]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    inference(rectify,[],[f343]) ).

fof(f343,axiom,
    ! [X12,X14] :
      ( iext(uri_rdfs_subClassOf,X12,X14)
    <=> ( ic(X14)
        & ic(X12)
        & ! [X3] :
            ( icext(X12,X3)
           => icext(X14,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWB054+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n014.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 Aug 30 17:45:03 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.53  % (23478)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (23461)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53  % (23461)First to succeed.
% 0.21/0.53  % (23469)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.23/0.54  % (23461)Refutation found. Thanks to Tanya!
% 1.23/0.54  % SZS status Theorem for theBenchmark
% 1.23/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.23/0.54  % (23461)------------------------------
% 1.23/0.54  % (23461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.54  % (23461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.54  % (23461)Termination reason: Refutation
% 1.23/0.54  
% 1.23/0.54  % (23461)Memory used [KB]: 6524
% 1.23/0.54  % (23461)Time elapsed: 0.099 s
% 1.23/0.54  % (23461)Instructions burned: 5 (million)
% 1.23/0.54  % (23461)------------------------------
% 1.23/0.54  % (23461)------------------------------
% 1.23/0.54  % (23456)Success in time 0.169 s
%------------------------------------------------------------------------------