TSTP Solution File: SWB008+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB008+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 18:36:13 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   34 (  12 unt;   0 def)
%            Number of atoms       :  115 (  23 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  125 (  44   ~;  38   |;  32   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   70 (  58   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f98,plain,
    $false,
    inference(subsumption_resolution,[],[f96,f35]) ).

fof(f35,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X2] :
      ( X0 = X2
    <=> iext(uri_owl_sameAs,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f96,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
    inference(backward_demodulation,[],[f27,f94]) ).

fof(f94,plain,
    uri_ex_bob = uri_ex_robert,
    inference(resolution,[],[f79,f24]) ).

fof(f24,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f79,plain,
    ! [X11] :
      ( ~ iext(uri_foaf_mbox_sha1sum,X11,literal_plain(dat_str_xyz))
      | uri_ex_bob = X11 ),
    inference(subsumption_resolution,[],[f77,f37]) ).

fof(f37,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
    inference(resolution,[],[f33,f25]) ).

fof(f25,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X1,X0] :
      ( ( iext(uri_rdf_type,X1,X0)
        | ~ icext(X0,X1) )
      & ( icext(X0,X1)
        | ~ iext(uri_rdf_type,X1,X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X1,X0] :
      ( iext(uri_rdf_type,X1,X0)
    <=> icext(X0,X1) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f77,plain,
    ! [X11] :
      ( ~ iext(uri_foaf_mbox_sha1sum,X11,literal_plain(dat_str_xyz))
      | ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
      | uri_ex_bob = X11 ),
    inference(resolution,[],[f31,f23]) ).

fof(f23,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f6]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(X0,X3,X2)
      | ~ icext(uri_owl_InverseFunctionalProperty,X0)
      | X1 = X3
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X1 = X3
              | ~ iext(X0,X1,X2)
              | ~ iext(X0,X3,X2) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) )
      & ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ( sK0(X0) != sK2(X0)
          & iext(X0,sK0(X0),sK1(X0))
          & iext(X0,sK2(X0),sK1(X0)) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ? [X4,X5,X6] :
          ( X4 != X6
          & iext(X0,X4,X5)
          & iext(X0,X6,X5) )
     => ( sK0(X0) != sK2(X0)
        & iext(X0,sK0(X0),sK1(X0))
        & iext(X0,sK2(X0),sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ! [X0] :
      ( ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X1 = X3
              | ~ iext(X0,X1,X2)
              | ~ iext(X0,X3,X2) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) )
      & ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X4,X5,X6] :
            ( X4 != X6
            & iext(X0,X4,X5)
            & iext(X0,X6,X5) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ( ( ip(X0)
          & ! [X2,X3,X1] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) )
      & ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X2,X3,X1] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) ) ) ),
    inference(flattening,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ( ( ip(X0)
          & ! [X2,X3,X1] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) )
      & ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X2,X3,X1] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) ) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ( ip(X0)
        & ! [X2,X3,X1] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) ) )
    <=> icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X2,X3,X1] :
            ( X1 = X2
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X2,X3,X1] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X2,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X3] :
      ( icext(uri_owl_InverseFunctionalProperty,X3)
    <=> ( ! [X5,X4,X2] :
            ( ( iext(X3,X5,X2)
              & iext(X3,X4,X2) )
           => X4 = X5 )
        & ip(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f27,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(flattening,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 17:39:29 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.50  % (19866)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.50  % (19850)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.50  % (19850)Refutation not found, incomplete strategy% (19850)------------------------------
% 0.21/0.50  % (19850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (19858)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51  % (19850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (19850)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (19850)Memory used [KB]: 5884
% 0.21/0.51  % (19850)Time elapsed: 0.090 s
% 0.21/0.51  % (19850)Instructions burned: 1 (million)
% 0.21/0.51  % (19850)------------------------------
% 0.21/0.51  % (19850)------------------------------
% 0.21/0.51  % (19858)First to succeed.
% 0.21/0.51  % (19858)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (19858)------------------------------
% 0.21/0.51  % (19858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (19858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (19858)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (19858)Memory used [KB]: 6012
% 0.21/0.51  % (19858)Time elapsed: 0.108 s
% 0.21/0.51  % (19858)Instructions burned: 2 (million)
% 0.21/0.51  % (19858)------------------------------
% 0.21/0.51  % (19858)------------------------------
% 0.21/0.51  % (19843)Success in time 0.16 s
%------------------------------------------------------------------------------