TSTP Solution File: SWB017+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB017+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 : n019.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 18:36:24 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :   89 (   8 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  100 (  36   ~;  28   |;  30   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   52 (  44   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(unit_resulting_resolution,[],[f17,f18,f31,f22]) ).

fof(f22,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(X1,X5,X4)
      | ~ iext(uri_owl_propertyDisjointWith,X1,X0)
      | ~ iext(X0,X5,X4) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X1,X0)
        | ( iext(X1,sK1(X0,X1),sK0(X0,X1))
          & iext(X0,sK1(X0,X1),sK0(X0,X1)) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X1,X5,X4)
              | ~ iext(X0,X5,X4) )
          & ip(X0)
          & ip(X1) )
        | ~ iext(uri_owl_propertyDisjointWith,X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( iext(X1,X3,X2)
          & iext(X0,X3,X2) )
     => ( iext(X1,sK1(X0,X1),sK0(X0,X1))
        & iext(X0,sK1(X0,X1),sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X1,X0)
        | ? [X2,X3] :
            ( iext(X1,X3,X2)
            & iext(X0,X3,X2) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X1,X5,X4)
              | ~ iext(X0,X5,X4) )
          & ip(X0)
          & ip(X1) )
        | ~ iext(uri_owl_propertyDisjointWith,X1,X0) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,plain,
    ! [X1,X0] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ? [X3,X2] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X3,X2] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ! [X1,X0] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ? [X3,X2] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X3,X2] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X1,X0] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ! [X3,X2] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ip(X0)
        & ! [X3,X2] :
            ~ ( iext(X0,X2,X3)
              & iext(X1,X2,X3) )
        & ip(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X3] :
      ( iext(uri_owl_propertyDisjointWith,X2,X3)
    <=> ( ! [X0,X1] :
            ~ ( iext(X2,X0,X1)
              & iext(X3,X0,X1) )
        & ip(X2)
        & ip(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f31,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(backward_demodulation,[],[f19,f28]) ).

fof(f28,plain,
    uri_ex_w = uri_ex_u,
    inference(unit_resulting_resolution,[],[f27,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X0,X1) )
      & ( iext(uri_owl_differentFrom,X0,X1)
        | X0 = X1 ) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X1,X0) )
      & ( iext(uri_owl_differentFrom,X1,X0)
        | X0 = X1 ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X1,X0] :
      ( X0 != X1
    <=> iext(uri_owl_differentFrom,X1,X0) ),
    inference(rectify,[],[f1]) ).

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

fof(f27,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).

fof(f19,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
    & iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).

fof(f18,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWB017+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13  % 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 : n019.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 17:34:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (31055)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.50  % (31071)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)
% 0.20/0.50  % (31055)Refutation not found, incomplete strategy% (31055)------------------------------
% 0.20/0.50  % (31055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (31071)First to succeed.
% 0.20/0.50  % (31055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (31055)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (31055)Memory used [KB]: 1407
% 0.20/0.50  % (31055)Time elapsed: 0.080 s
% 0.20/0.50  % (31055)Instructions burned: 2 (million)
% 0.20/0.50  % (31055)------------------------------
% 0.20/0.50  % (31055)------------------------------
% 0.20/0.51  % (31071)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (31071)------------------------------
% 0.20/0.51  % (31071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (31071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (31071)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (31071)Memory used [KB]: 5884
% 0.20/0.51  % (31071)Time elapsed: 0.088 s
% 0.20/0.51  % (31071)Instructions burned: 1 (million)
% 0.20/0.51  % (31071)------------------------------
% 0.20/0.51  % (31071)------------------------------
% 0.20/0.51  % (31049)Success in time 0.156 s
%------------------------------------------------------------------------------