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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB026+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:00:12 PM UTC 2026

% Result   : Theorem 0.55s 0.91s
% Output   : Refutation 2.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   82 (  18 unt;   4 def)
%            Number of atoms       :  298 (  44 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  349 ( 133   ~; 141   |;  57   &)
%                                         (  15 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-2 aty)
%            Number of variables   :  122 (   0 sgn 106   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        & iext(X0,X2,X3) )
     => icext(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f4,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f6,axiom,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X2,X3) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f7,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f8,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdfs_domain,uri_ex_p,X0)
      & iext(uri_owl_oneOf,X0,X2)
      & iext(uri_rdf_first,X2,uri_ex_w)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdfs_range,uri_ex_p,X1)
      & iext(uri_owl_oneOf,X1,X3)
      & iext(uri_rdf_first,X3,uri_ex_u)
      & iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f10,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f8]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(flattening,[],[f13]) ).

fof(f15,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f16,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0] :
      ( ( iext(uri_rdf_type,X0,uri_rdf_Property)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X3 = X2
                  | ~ icext(X0,X3) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X3 = X2
                  | ~ icext(X0,X3) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(rectify,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ( ( sK0(X0,X2) != X2
              | ~ icext(X0,sK0(X0,X2)) )
            & ( sK0(X0,X2) = X2
              | icext(X0,sK0(X0,X2)) ) ) )
        & ( ( ic(X0)
            & ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f21]) ).

fof(f23,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X2,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f24,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X2,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X5,X6) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f26,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ( sK1(X0) != sK2(X0)
          & iext(X0,sK1(X0),sK3(X0))
          & iext(X0,sK2(X0),sK3(X0)) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X5,X6) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0))],[f25]) ).

fof(f27,plain,
    ( iext(uri_rdfs_domain,uri_ex_p,sK4)
    & iext(uri_owl_oneOf,sK4,sK6)
    & iext(uri_rdf_first,sK6,uri_ex_w)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil)
    & iext(uri_rdfs_range,uri_ex_p,sK5)
    & iext(uri_owl_oneOf,sK5,sK7)
    & iext(uri_rdf_first,sK7,uri_ex_u)
    & iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f9]) ).

fof(f28,plain,
    ! [X0] :
      ( ip(X0)
      | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f32,plain,
    ! [X2,X3,X0,X1] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f33,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[],[f4]) ).

fof(f34,plain,
    ! [X2,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ icext(X0,X4)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | X2 = X4 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f41,plain,
    ! [X0] :
      ( iext(X0,sK2(X0),sK3(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f42,plain,
    ! [X0] :
      ( iext(X0,sK1(X0),sK3(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f43,plain,
    ! [X0] :
      ( sK1(X0) != sK2(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f44,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f10]) ).

fof(f49,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f27]) ).

fof(f50,plain,
    iext(uri_rdf_first,sK6,uri_ex_w),
    inference(cnf_transformation,[],[f27]) ).

fof(f51,plain,
    iext(uri_owl_oneOf,sK4,sK6),
    inference(cnf_transformation,[],[f27]) ).

fof(f52,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK4),
    inference(cnf_transformation,[],[f27]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1] :
      ( iext(uri_rdf_type,X2,X1)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(resolution,[],[f32,f31]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,sK6)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK6,X2)
      | X1 = X2 ),
    inference(resolution,[],[f34,f49]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK6,X1)
      | ~ icext(sK4,X0)
      | X0 = X1 ),
    inference(resolution,[],[f65,f51]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ icext(sK4,X0)
      | uri_ex_w = X0 ),
    inference(resolution,[],[f71,f50]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X1,sK4)
      | uri_ex_w = X0
      | ~ iext(X1,X0,X2) ),
    inference(resolution,[],[f103,f32]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X0,X1)
      | uri_ex_w = X0 ),
    inference(resolution,[],[f105,f52]) ).

fof(f148,plain,
    ( uri_ex_w = sK2(uri_ex_p)
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f133,f41]) ).

fof(f149,plain,
    ( uri_ex_w = sK1(uri_ex_p)
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f133,f42]) ).

fof(f151,definition,
    ( spl8_9
  <=> icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).

fof(f152,plain,
    ( ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | spl8_9 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f153,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ spl8_9 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f155,definition,
    ( spl8_10
  <=> ip(uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).

fof(f156,plain,
    ( ip(uri_ex_p)
    | ~ spl8_10 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f157,plain,
    ( ~ ip(uri_ex_p)
    | spl8_10 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f159,definition,
    ( spl8_11
  <=> uri_ex_w = sK1(uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).

fof(f161,plain,
    ( uri_ex_w = sK1(uri_ex_p)
    | ~ spl8_11 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f162,plain,
    ( spl8_9
    | ~ spl8_10
    | spl8_11 ),
    inference(avatar_split_clause,[],[f149,f159,f155,f151]) ).

fof(f164,definition,
    ( spl8_12
  <=> uri_ex_w = sK2(uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).

fof(f166,plain,
    ( uri_ex_w = sK2(uri_ex_p)
    | ~ spl8_12 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f167,plain,
    ( spl8_9
    | ~ spl8_10
    | spl8_12 ),
    inference(avatar_split_clause,[],[f148,f164,f155,f151]) ).

fof(f170,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | spl8_10 ),
    inference(resolution,[],[f157,f28]) ).

fof(f172,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdfs_domain,X0,uri_rdf_Property)
        | ~ iext(X0,uri_ex_p,X1) )
    | spl8_10 ),
    inference(resolution,[],[f170,f57]) ).

fof(f175,plain,
    ( ! [X0] : ~ iext(uri_rdfs_domain,uri_ex_p,X0)
    | spl8_10 ),
    inference(resolution,[],[f172,f33]) ).

fof(f178,plain,
    ( $false
    | spl8_10 ),
    inference(resolution,[],[f175,f52]) ).

fof(f179,plain,
    spl8_10,
    inference(avatar_contradiction_clause,[],[f178]) ).

fof(f182,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
    | ~ spl8_9 ),
    inference(resolution,[],[f153,f31]) ).

fof(f183,plain,
    ( $false
    | ~ spl8_9 ),
    inference(forward_subsumption_resolution,[],[f182,f44]) ).

fof(f184,plain,
    ~ spl8_9,
    inference(avatar_contradiction_clause,[],[f183]) ).

fof(f191,plain,
    ( uri_ex_w != sK1(uri_ex_p)
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ spl8_12 ),
    inference(superposition,[],[f43,f166]) ).

fof(f192,plain,
    ( ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ spl8_11
    | ~ spl8_12 ),
    inference(forward_subsumption_resolution,[],[f191,f161]) ).

fof(f194,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ spl8_10
    | ~ spl8_11
    | ~ spl8_12 ),
    inference(forward_subsumption_resolution,[],[f192,f156]) ).

fof(f196,plain,
    ( $false
    | spl8_9
    | ~ spl8_10
    | ~ spl8_11
    | ~ spl8_12 ),
    inference(forward_subsumption_resolution,[],[f194,f152]) ).

fof(f197,plain,
    ( spl8_9
    | ~ spl8_10
    | ~ spl8_11
    | ~ spl8_12 ),
    inference(avatar_contradiction_clause,[],[f196]) ).

cnf(s6,plain,
    ( spl8_9
    | ~ spl8_10
    | spl8_11 ),
    inference(sat_conversion,[],[f162]) ).

cnf(s7,plain,
    ( spl8_9
    | ~ spl8_10
    | spl8_12 ),
    inference(sat_conversion,[],[f167]) ).

cnf(s8,plain,
    spl8_10,
    inference(sat_conversion,[],[f179]) ).

cnf(s9,plain,
    ~ spl8_9,
    inference(sat_conversion,[],[f184]) ).

cnf(s10,plain,
    ( spl8_9
    | ~ spl8_10
    | ~ spl8_11
    | ~ spl8_12 ),
    inference(sat_conversion,[],[f197]) ).

cnf(s11,plain,
    spl8_12,
    inference(rat,[],[s7,s8,s9]) ).

cnf(s12,plain,
    ~ spl8_11,
    inference(rat,[],[s10,s8,s9,s11]) ).

cnf(s13,plain,
    $false,
    inference(rat,[],[s6,s12,s8,s9]) ).

fof(f198,plain,
    $false,
    inference(avatar_sat_refutation,[],[s13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB026+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n019.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 07:06:04 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.91  % (3818143)Detected formulas, will run a generic FOF schedule.
% 0.55/0.91  % (3818153)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1394280772:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.55/0.91  % (3818153)First to succeed.
% 0.55/0.91  % (3818153)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3818143"
% 0.55/0.91  % (3818154)dis-21_1_sil=8000:lcm=predicate:random_seed=658264938:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.55/0.91  % (3818151)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1472087440:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.55/0.91  % (3818149)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3304823793:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.55/0.91  % (3818152)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4217487098:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.55/0.91  % (3818150)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1946993785:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.55/0.91  % (3818148)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2381351179:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.55/0.91  % (3818151)Refutation not found, incomplete strategy
% 0.55/0.91  % (3818151)------------------------------
% 0.55/0.91  % (3818151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.55/0.91  % (3818151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.91  % (3818151)CaDiCaL version: 2.1.3
% 0.55/0.91  % (3818151)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.91  % (3818151)Time elapsed: 0.001 s
% 0.55/0.91  % (3818151)Peak memory usage: 87 MB
% 0.55/0.91  % (3818152)Refutation not found, incomplete strategy
% 0.55/0.91  % (3818152)------------------------------
% 0.55/0.91  % (3818152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.55/0.91  % (3818152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.91  % (3818152)CaDiCaL version: 2.1.3
% 0.55/0.91  % (3818152)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.91  % (3818152)Time elapsed: 0.002 s
% 0.55/0.91  % (3818152)Peak memory usage: 88 MB
% 0.55/0.91  % (3818152)Instructions burned: 2 (million)
% 0.55/0.91  % (3818154)Instruction limit reached! 
% 0.55/0.91  % (3818154)------------------------------
% 0.55/0.91  % (3818154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.55/0.91  % (3818154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.91  % (3818154)CaDiCaL version: 2.1.3
% 0.55/0.91  % (3818154)Termination reason: Instruction limit
% 0.55/0.91  % (3818154)Termination phase: Saturation
% 0.55/0.91  % (3818154)Time elapsed: 0.066 s
% 0.55/0.91  % (3818154)Peak memory usage: 88 MB
% 0.55/0.91  % (3818154)Instructions burned: 130 (million)
% 0.55/0.91  % (3818153)Refutation found. Thanks to Tanya!
% 0.55/0.91  % SZS status Theorem for theBenchmark
% 0.55/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 2.43/1.11  % (3818153)------------------------------
% 2.43/1.11  % (3818153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.11  % (3818153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.11  % (3818153)CaDiCaL version: 2.1.3
% 2.43/1.11  % (3818153)Termination reason: Refutation
% 2.43/1.11  % (3818153)Time elapsed: 0.005 s
% 2.43/1.11  % (3818153)Peak memory usage: 90 MB
% 2.43/1.11  % (3818153)Instructions burned: 11 (million)
% 2.43/1.11  % (3818153)------------------------------
% 2.43/1.11  % (3818153)------------------------------
% 2.43/1.11  % (3818143)Success in time 0.294 s
% 2.43/1.11  % Vampire exiting
%------------------------------------------------------------------------------