TSTP Solution File: SWB011+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWB011+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 : n018.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 18:37:10 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   99 (  35   ~;  29   |;  30   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   39 (  35   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(subsumption_resolution,[],[f33,f25]) ).

fof(f25,plain,
    icext(uri_owl_Class,uri_ex_x),
    inference(resolution,[],[f21,f14]) ).

fof(f14,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_011_Entity_Types_as_Classes) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X1,X0)
      | icext(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X1,X0)
        | ~ icext(X0,X1) )
      & ( icext(X0,X1)
        | ~ iext(uri_rdf_type,X1,X0) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,plain,
    ! [X1,X0] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

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

fof(f33,plain,
    ~ icext(uri_owl_Class,uri_ex_x),
    inference(resolution,[],[f30,f26]) ).

fof(f26,plain,
    icext(uri_owl_ObjectProperty,uri_ex_x),
    inference(resolution,[],[f21,f15]) ).

fof(f15,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(cnf_transformation,[],[f3]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ icext(uri_owl_ObjectProperty,X0)
      | ~ icext(uri_owl_Class,X0) ),
    inference(resolution,[],[f17,f13]) ).

fof(f13,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(cnf_transformation,[],[f3]) ).

fof(f17,plain,
    ! [X3,X0,X1] :
      ( ~ icext(X0,X3)
      | ~ iext(uri_owl_disjointWith,X0,X1)
      | ~ icext(X1,X3) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ( icext(X0,sK0(X0,X1))
          & icext(X1,sK0(X0,X1)) )
        | ~ ic(X1) )
      & ( ( ic(X0)
          & ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X1) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( icext(X0,X2)
          & icext(X1,X2) )
     => ( icext(X0,sK0(X0,X1))
        & icext(X1,sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X1) )
      & ( ( ic(X0)
          & ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X1) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X1) )
      & ( ( ic(X0)
          & ! [X2] :
              ( ~ icext(X0,X2)
              | ~ icext(X1,X2) )
          & ic(X1) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(flattening,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X1) )
      & ( ( ic(X0)
          & ! [X2] :
              ( ~ icext(X0,X2)
              | ~ icext(X1,X2) )
          & ic(X1) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ic(X0)
        & ! [X2] :
            ( ~ icext(X0,X2)
            | ~ icext(X1,X2) )
        & ic(X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ! [X1,X0] :
      ( ( ic(X1)
        & ic(X0)
        & ! [X2] :
            ~ ( icext(X0,X2)
              & icext(X1,X2) ) )
    <=> iext(uri_owl_disjointWith,X0,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X3] :
      ( ( ! [X0] :
            ~ ( icext(X3,X0)
              & icext(X2,X0) )
        & ic(X2)
        & ic(X3) )
    <=> iext(uri_owl_disjointWith,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB011+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 17:31:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (29536)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.49  % (29552)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.50  % (29536)First to succeed.
% 0.19/0.50  % (29544)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50  % (29538)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.50  % (29538)Also succeeded, but the first one will report.
% 0.19/0.50  % (29536)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (29536)------------------------------
% 0.19/0.50  % (29536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (29536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (29536)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (29536)Memory used [KB]: 5373
% 0.19/0.50  % (29536)Time elapsed: 0.106 s
% 0.19/0.50  % (29536)Instructions burned: 2 (million)
% 0.19/0.50  % (29536)------------------------------
% 0.19/0.50  % (29536)------------------------------
% 0.19/0.50  % (29530)Success in time 0.158 s
%------------------------------------------------------------------------------