TSTP Solution File: SWB027+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB027+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 18:36:38 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   63 (  18 unt;   0 def)
%            Number of atoms       :  362 (  21 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :  443 ( 144   ~; 140   |; 133   &)
%                                         (  16 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-3 aty)
%            Number of variables   :  205 ( 161   !;  44   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f105,plain,
    $false,
    inference(unit_resulting_resolution,[],[f78,f82,f79,f62,f61,f60,f63,f59,f44]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ iext(uri_owl_propertyChainAxiom,X1,X0)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X2)
      | ~ iext(X2,X6,X5)
      | ~ iext(uri_rdf_first,X0,X4)
      | ~ iext(X4,X7,X6)
      | ~ iext(uri_rdf_rest,X0,X3)
      | iext(X1,X7,X5) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_rest,X0,X3)
      | ~ iext(uri_rdf_first,X0,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X2)
      | ( ( ( ip(X1)
            & ip(X2)
            & ip(X4)
            & ! [X5,X6,X7] :
                ( iext(X1,X7,X5)
                | ~ iext(X4,X7,X6)
                | ~ iext(X2,X6,X5) ) )
          | ~ iext(uri_owl_propertyChainAxiom,X1,X0) )
        & ( iext(uri_owl_propertyChainAxiom,X1,X0)
          | ~ ip(X1)
          | ~ ip(X2)
          | ~ ip(X4)
          | ( ~ iext(X1,sK2(X1,X2,X4),sK0(X1,X2,X4))
            & iext(X4,sK2(X1,X2,X4),sK1(X1,X2,X4))
            & iext(X2,sK1(X1,X2,X4),sK0(X1,X2,X4)) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f23]) ).

fof(f23,plain,
    ! [X1,X2,X4] :
      ( ? [X8,X9,X10] :
          ( ~ iext(X1,X10,X8)
          & iext(X4,X10,X9)
          & iext(X2,X9,X8) )
     => ( ~ iext(X1,sK2(X1,X2,X4),sK0(X1,X2,X4))
        & iext(X4,sK2(X1,X2,X4),sK1(X1,X2,X4))
        & iext(X2,sK1(X1,X2,X4),sK0(X1,X2,X4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_rest,X0,X3)
      | ~ iext(uri_rdf_first,X0,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X2)
      | ( ( ( ip(X1)
            & ip(X2)
            & ip(X4)
            & ! [X5,X6,X7] :
                ( iext(X1,X7,X5)
                | ~ iext(X4,X7,X6)
                | ~ iext(X2,X6,X5) ) )
          | ~ iext(uri_owl_propertyChainAxiom,X1,X0) )
        & ( iext(uri_owl_propertyChainAxiom,X1,X0)
          | ~ ip(X1)
          | ~ ip(X2)
          | ~ ip(X4)
          | ? [X8,X9,X10] :
              ( ~ iext(X1,X10,X8)
              & iext(X4,X10,X9)
              & iext(X2,X9,X8) ) ) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ! [X0,X3,X4,X2,X1] :
      ( ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X4)
      | ( ( ( ip(X3)
            & ip(X4)
            & ip(X1)
            & ! [X6,X7,X5] :
                ( iext(X3,X5,X6)
                | ~ iext(X1,X5,X7)
                | ~ iext(X4,X7,X6) ) )
          | ~ iext(uri_owl_propertyChainAxiom,X3,X0) )
        & ( iext(uri_owl_propertyChainAxiom,X3,X0)
          | ~ ip(X3)
          | ~ ip(X4)
          | ~ ip(X1)
          | ? [X6,X7,X5] :
              ( ~ iext(X3,X5,X6)
              & iext(X1,X5,X7)
              & iext(X4,X7,X6) ) ) ) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X0,X3,X4,X2,X1] :
      ( ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X4)
      | ( ( ( ip(X3)
            & ip(X4)
            & ip(X1)
            & ! [X6,X7,X5] :
                ( iext(X3,X5,X6)
                | ~ iext(X1,X5,X7)
                | ~ iext(X4,X7,X6) ) )
          | ~ iext(uri_owl_propertyChainAxiom,X3,X0) )
        & ( iext(uri_owl_propertyChainAxiom,X3,X0)
          | ~ ip(X3)
          | ~ ip(X4)
          | ~ ip(X1)
          | ? [X6,X7,X5] :
              ( ~ iext(X3,X5,X6)
              & iext(X1,X5,X7)
              & iext(X4,X7,X6) ) ) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X3,X4,X2,X1] :
      ( ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X4)
      | ( ( ip(X3)
          & ip(X4)
          & ip(X1)
          & ! [X6,X7,X5] :
              ( iext(X3,X5,X6)
              | ~ iext(X1,X5,X7)
              | ~ iext(X4,X7,X6) ) )
      <=> iext(uri_owl_propertyChainAxiom,X3,X0) ) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X3,X4,X0,X1,X2] :
      ( ( iext(uri_owl_propertyChainAxiom,X3,X0)
      <=> ( ip(X4)
          & ip(X1)
          & ip(X3)
          & ! [X6,X7,X5] :
              ( iext(X3,X5,X6)
              | ~ iext(X4,X7,X6)
              | ~ iext(X1,X5,X7) ) ) )
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X4) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X3,X4,X0,X1,X2] :
      ( ( iext(uri_rdf_first,X0,X1)
        & iext(uri_rdf_rest,X0,X2)
        & iext(uri_rdf_rest,X2,uri_rdf_nil)
        & iext(uri_rdf_first,X2,X4) )
     => ( iext(uri_owl_propertyChainAxiom,X3,X0)
      <=> ( ip(X4)
          & ip(X1)
          & ip(X3)
          & ! [X6,X7,X5] :
              ( ( iext(X4,X7,X6)
                & iext(X1,X5,X7) )
             => iext(X3,X5,X6) ) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X4,X5,X6,X3,X7] :
      ( ( iext(uri_rdf_rest,X6,uri_rdf_nil)
        & iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_first,X4,X5)
        & iext(uri_rdf_rest,X4,X6) )
     => ( ( ! [X8,X10,X9] :
              ( ( iext(X7,X9,X10)
                & iext(X5,X8,X9) )
             => iext(X3,X8,X10) )
          & ip(X5)
          & ip(X7)
          & ip(X3) )
      <=> iext(uri_owl_propertyChainAxiom,X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).

fof(f59,plain,
    iext(uri_rdf_rest,sK8,uri_rdf_nil),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( iext(uri_owl_inverseOf,sK10,uri_ex_p)
    & iext(uri_rdf_first,sK8,sK10)
    & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK9)
    & iext(uri_rdf_first,sK9,uri_ex_p)
    & iext(uri_rdf_rest,sK9,sK8)
    & iext(uri_rdf_rest,sK8,uri_rdf_nil) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f35,f36]) ).

fof(f36,plain,
    ( ? [X0,X1,X2] :
        ( iext(uri_owl_inverseOf,X2,uri_ex_p)
        & iext(uri_rdf_first,X0,X2)
        & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X1)
        & iext(uri_rdf_first,X1,uri_ex_p)
        & iext(uri_rdf_rest,X1,X0)
        & iext(uri_rdf_rest,X0,uri_rdf_nil) )
   => ( iext(uri_owl_inverseOf,sK10,uri_ex_p)
      & iext(uri_rdf_first,sK8,sK10)
      & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK9)
      & iext(uri_rdf_first,sK9,uri_ex_p)
      & iext(uri_rdf_rest,sK9,sK8)
      & iext(uri_rdf_rest,sK8,uri_rdf_nil) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ? [X0,X1,X2] :
      ( iext(uri_owl_inverseOf,X2,uri_ex_p)
      & iext(uri_rdf_first,X0,X2)
      & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X1)
      & iext(uri_rdf_first,X1,uri_ex_p)
      & iext(uri_rdf_rest,X1,X0)
      & iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(rectify,[],[f11]) ).

fof(f11,plain,
    ? [X1,X0,X2] :
      ( iext(uri_owl_inverseOf,X2,uri_ex_p)
      & iext(uri_rdf_first,X1,X2)
      & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X0)
      & iext(uri_rdf_first,X0,uri_ex_p)
      & iext(uri_rdf_rest,X0,X1)
      & iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ? [X13,X14,X15] :
      ( iext(uri_rdf_rest,X14,uri_rdf_nil)
      & iext(uri_rdf_first,X13,uri_ex_p)
      & iext(uri_rdf_first,X14,X15)
      & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X13)
      & iext(uri_owl_inverseOf,X15,uri_ex_p)
      & iext(uri_rdf_rest,X13,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

fof(f63,plain,
    iext(uri_rdf_first,sK8,sK10),
    inference(cnf_transformation,[],[f37]) ).

fof(f60,plain,
    iext(uri_rdf_rest,sK9,sK8),
    inference(cnf_transformation,[],[f37]) ).

fof(f61,plain,
    iext(uri_rdf_first,sK9,uri_ex_p),
    inference(cnf_transformation,[],[f37]) ).

fof(f62,plain,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK9),
    inference(cnf_transformation,[],[f37]) ).

fof(f79,plain,
    iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f72,f73,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( iext(X0,sK3(X0),sK5(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ( iext(X0,sK4(X0),sK5(X0))
          & sK3(X0) != sK4(X0)
          & iext(X0,sK3(X0),sK5(X0)) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | X4 = X5
              | ~ iext(X0,X4,X6) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f27,f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( iext(X0,X2,X3)
          & X1 != X2
          & iext(X0,X1,X3) )
     => ( iext(X0,sK4(X0),sK5(X0))
        & sK3(X0) != sK4(X0)
        & iext(X0,sK3(X0),sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & X1 != X2
            & iext(X0,X1,X3) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | X4 = X5
              | ~ iext(X0,X4,X6) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & X1 != X2
            & iext(X0,X1,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | X1 = X2
              | ~ iext(X0,X1,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & X1 != X2
            & iext(X0,X1,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | X1 = X2
              | ~ iext(X0,X1,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( ~ iext(X0,X2,X3)
            | X1 = X2
            | ~ iext(X0,X1,X3) ) ) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ( ! [X2,X1,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) )
    <=> icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ( ! [X2,X1,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) )
    <=> icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3] :
      ( ( ! [X11,X12,X2] :
            ( ( iext(X3,X11,X2)
              & iext(X3,X12,X2) )
           => X11 = X12 )
        & ip(X3) )
    <=> icext(uri_owl_InverseFunctionalProperty,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f73,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(unit_resulting_resolution,[],[f67,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) )
      & ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ! [X1,X0] :
      ( ( icext(X0,X1)
        | ~ iext(uri_rdf_type,X1,X0) )
      & ( iext(uri_rdf_type,X1,X0)
        | ~ icext(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X1,X0] :
      ( icext(X0,X1)
    <=> iext(uri_rdf_type,X1,X0) ),
    inference(rectify,[],[f1]) ).

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

fof(f67,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).

fof(f72,plain,
    ip(uri_ex_p),
    inference(unit_resulting_resolution,[],[f64,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | ip(X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ~ ip(X1)
        | ( ( ~ iext(X1,sK7(X0,X1),sK6(X0,X1))
            | ~ iext(X0,sK6(X0,X1),sK7(X0,X1)) )
          & ( iext(X1,sK7(X0,X1),sK6(X0,X1))
            | iext(X0,sK6(X0,X1),sK7(X0,X1)) ) )
        | ~ ip(X0) )
      & ( ( ip(X1)
          & ! [X4,X5] :
              ( ( iext(X0,X4,X5)
                | ~ iext(X1,X5,X4) )
              & ( iext(X1,X5,X4)
                | ~ iext(X0,X4,X5) ) )
          & ip(X0) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f32,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ( ~ iext(X1,X3,X2)
            | ~ iext(X0,X2,X3) )
          & ( iext(X1,X3,X2)
            | iext(X0,X2,X3) ) )
     => ( ( ~ iext(X1,sK7(X0,X1),sK6(X0,X1))
          | ~ iext(X0,sK6(X0,X1),sK7(X0,X1)) )
        & ( iext(X1,sK7(X0,X1),sK6(X0,X1))
          | iext(X0,sK6(X0,X1),sK7(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X2,X3) )
            & ( iext(X1,X3,X2)
              | iext(X0,X2,X3) ) )
        | ~ ip(X0) )
      & ( ( ip(X1)
          & ! [X4,X5] :
              ( ( iext(X0,X4,X5)
                | ~ iext(X1,X5,X4) )
              & ( iext(X1,X5,X4)
                | ~ iext(X0,X4,X5) ) )
          & ip(X0) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X1,X0] :
      ( ( iext(uri_owl_inverseOf,X1,X0)
        | ~ ip(X0)
        | ? [X3,X2] :
            ( ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X3,X2) )
            & ( iext(X0,X2,X3)
              | iext(X1,X3,X2) ) )
        | ~ ip(X1) )
      & ( ( ip(X0)
          & ! [X3,X2] :
              ( ( iext(X1,X3,X2)
                | ~ iext(X0,X2,X3) )
              & ( iext(X0,X2,X3)
                | ~ iext(X1,X3,X2) ) )
          & ip(X1) )
        | ~ iext(uri_owl_inverseOf,X1,X0) ) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( ( iext(uri_owl_inverseOf,X1,X0)
        | ~ ip(X0)
        | ? [X3,X2] :
            ( ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X3,X2) )
            & ( iext(X0,X2,X3)
              | iext(X1,X3,X2) ) )
        | ~ ip(X1) )
      & ( ( ip(X0)
          & ! [X3,X2] :
              ( ( iext(X1,X3,X2)
                | ~ iext(X0,X2,X3) )
              & ( iext(X0,X2,X3)
                | ~ iext(X1,X3,X2) ) )
          & ip(X1) )
        | ~ iext(uri_owl_inverseOf,X1,X0) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( iext(uri_owl_inverseOf,X1,X0)
    <=> ( ip(X0)
        & ! [X3,X2] :
            ( iext(X1,X3,X2)
          <=> iext(X0,X2,X3) )
        & ip(X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X7,X5] :
      ( iext(uri_owl_inverseOf,X5,X7)
    <=> ( ! [X2,X0] :
            ( iext(X5,X0,X2)
          <=> iext(X7,X2,X0) )
        & ip(X5)
        & ip(X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).

fof(f64,plain,
    iext(uri_owl_inverseOf,sK10,uri_ex_p),
    inference(cnf_transformation,[],[f37]) ).

fof(f82,plain,
    iext(sK10,sK5(uri_ex_p),sK4(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f80,f64,f55]) ).

fof(f55,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | iext(X0,X4,X5)
      | ~ iext(X1,X5,X4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f80,plain,
    iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f72,f73,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( iext(X0,sK4(X0),sK5(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f78,plain,
    ~ iext(uri_owl_sameAs,sK3(uri_ex_p),sK4(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f76,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X1,X0)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X1,X0) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X1,X0)
    <=> X0 = X1 ),
    inference(rectify,[],[f2]) ).

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

fof(f76,plain,
    sK3(uri_ex_p) != sK4(uri_ex_p),
    inference(unit_resulting_resolution,[],[f72,f73,f51]) ).

fof(f51,plain,
    ! [X0] :
      ( sK3(X0) != sK4(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 17:41:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (15409)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)
% 0.19/0.50  % (15427)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51  % (15405)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (15417)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (15427)Refutation not found, incomplete strategy% (15427)------------------------------
% 0.19/0.51  % (15427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (15427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (15427)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (15427)Memory used [KB]: 1535
% 0.19/0.51  % (15427)Time elapsed: 0.085 s
% 0.19/0.51  % (15427)Instructions burned: 3 (million)
% 0.19/0.51  % (15427)------------------------------
% 0.19/0.51  % (15427)------------------------------
% 0.19/0.51  % (15419)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (15409)Refutation not found, incomplete strategy% (15409)------------------------------
% 0.19/0.51  % (15409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (15409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (15409)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (15409)Memory used [KB]: 1407
% 0.19/0.51  % (15409)Time elapsed: 0.109 s
% 0.19/0.51  % (15409)Instructions burned: 2 (million)
% 0.19/0.51  % (15409)------------------------------
% 0.19/0.51  % (15409)------------------------------
% 0.19/0.52  % (15405)Refutation not found, incomplete strategy% (15405)------------------------------
% 0.19/0.52  % (15405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (15405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (15405)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (15405)Memory used [KB]: 6012
% 0.19/0.52  % (15405)Time elapsed: 0.109 s
% 0.19/0.52  % (15405)Instructions burned: 4 (million)
% 0.19/0.52  % (15405)------------------------------
% 0.19/0.52  % (15405)------------------------------
% 0.19/0.52  % (15419)Instruction limit reached!
% 0.19/0.52  % (15419)------------------------------
% 0.19/0.52  % (15419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (15419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (15419)Termination reason: Unknown
% 0.19/0.52  % (15419)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (15419)Memory used [KB]: 6140
% 0.19/0.52  % (15419)Time elapsed: 0.096 s
% 0.19/0.52  % (15419)Instructions burned: 7 (million)
% 0.19/0.52  % (15419)------------------------------
% 0.19/0.52  % (15419)------------------------------
% 0.19/0.53  % (15426)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)
% 0.19/0.53  % (15417)First to succeed.
% 0.19/0.53  % (15411)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54  % (15417)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Theorem for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (15417)------------------------------
% 0.19/0.54  % (15417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (15417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (15417)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (15417)Memory used [KB]: 6012
% 0.19/0.54  % (15417)Time elapsed: 0.131 s
% 0.19/0.54  % (15417)Instructions burned: 7 (million)
% 0.19/0.54  % (15417)------------------------------
% 0.19/0.54  % (15417)------------------------------
% 0.19/0.54  % (15403)Success in time 0.185 s
%------------------------------------------------------------------------------