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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 01:00:16 PM UTC 2026

% Result   : Theorem 2.78s 1.27s
% Output   : Refutation 3.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  107 (  18 unt;   8 def)
%            Number of atoms       :  313 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  347 ( 141   ~; 144   |;  44   &)
%                                         (  12 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   71 (   0 sgn  65   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    idc(uri_xsd_string),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).

fof(f2,axiom,
    idc(uri_xsd_decimal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).

fof(f3,axiom,
    idc(uri_xsd_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).

fof(f4,axiom,
    ! [X0] :
      ~ ( icext(uri_rdf_PlainLiteral,X0)
        & icext(uri_owl_real,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

fof(f5,axiom,
    ! [X0] :
      ( icext(uri_xsd_string,X0)
     => icext(uri_rdf_PlainLiteral,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).

fof(f6,axiom,
    ! [X0] :
      ( icext(uri_owl_rational,X0)
     => icext(uri_owl_real,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).

fof(f7,axiom,
    ! [X0] :
      ( icext(uri_xsd_decimal,X0)
     => icext(uri_owl_rational,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).

fof(f8,axiom,
    ! [X0] :
      ( icext(uri_xsd_integer,X0)
     => icext(uri_xsd_decimal,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).

fof(f9,axiom,
    ! [X0] :
      ( idc(X0)
     => ic(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ~ ( icext(X0,X2)
              & icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

fof(f12,conjecture,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).

fof(f13,negated_conjecture,
    ~ ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
      & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ icext(uri_rdf_PlainLiteral,X0)
      | ~ icext(uri_owl_real,X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f15,plain,
    ! [X0] :
      ( icext(uri_rdf_PlainLiteral,X0)
      | ~ icext(uri_xsd_string,X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X0] :
      ( icext(uri_owl_real,X0)
      | ~ icext(uri_owl_rational,X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f17,plain,
    ! [X0] :
      ( icext(uri_owl_rational,X0)
      | ~ icext(uri_xsd_decimal,X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f18,plain,
    ! [X0] :
      ( icext(uri_xsd_decimal,X0)
      | ~ icext(uri_xsd_integer,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f19,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( ~ icext(X0,X2)
            | ~ icext(X1,X2) ) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f22,plain,
    ( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( ~ icext(X1,sK0(X0,X1))
          & icext(X0,sK0(X0,X1)) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) ) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(rectify,[],[f28]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( icext(X0,sK1(X0,X1))
          & icext(X1,sK1(X0,X1)) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) ) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f29]) ).

fof(f31,plain,
    idc(uri_xsd_string),
    inference(cnf_transformation,[],[f1]) ).

fof(f32,plain,
    idc(uri_xsd_decimal),
    inference(cnf_transformation,[],[f2]) ).

fof(f33,plain,
    idc(uri_xsd_integer),
    inference(cnf_transformation,[],[f3]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ icext(uri_owl_real,X0)
      | ~ icext(uri_rdf_PlainLiteral,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f35,plain,
    ! [X0] :
      ( icext(uri_rdf_PlainLiteral,X0)
      | ~ icext(uri_xsd_string,X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f36,plain,
    ! [X0] :
      ( icext(uri_owl_real,X0)
      | ~ icext(uri_owl_rational,X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f37,plain,
    ! [X0] :
      ( icext(uri_owl_rational,X0)
      | ~ icext(uri_xsd_decimal,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f38,plain,
    ! [X0] :
      ( icext(uri_xsd_decimal,X0)
      | ~ icext(uri_xsd_integer,X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f39,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( icext(X0,sK0(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | ~ ic(X0)
      | ~ ic(X1)
      | ~ icext(X1,sK0(X0,X1)) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
      | ~ ic(X0)
      | ~ ic(X1)
      | icext(X1,sK1(X0,X1)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
      | ~ ic(X0)
      | ~ ic(X1)
      | icext(X0,sK1(X0,X1)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f50,plain,
    ( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f52,definition,
    ( spl2_1
  <=> iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

fof(f54,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f56,definition,
    ( spl2_2
  <=> iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

fof(f58,plain,
    ( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f59,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f50,f56,f52]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ icext(uri_owl_rational,X0)
      | ~ icext(uri_rdf_PlainLiteral,X0) ),
    inference(resolution,[],[f36,f34]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ icext(uri_rdf_PlainLiteral,X0)
      | ~ icext(uri_xsd_decimal,X0) ),
    inference(resolution,[],[f60,f37]) ).

fof(f85,plain,
    ( ~ ic(uri_xsd_integer)
    | ~ ic(uri_xsd_decimal)
    | ~ icext(uri_xsd_decimal,sK0(uri_xsd_integer,uri_xsd_decimal))
    | spl2_1 ),
    inference(resolution,[],[f44,f54]) ).

fof(f88,definition,
    ( spl2_7
  <=> icext(uri_xsd_decimal,sK0(uri_xsd_integer,uri_xsd_decimal)) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

fof(f90,plain,
    ( ~ icext(uri_xsd_decimal,sK0(uri_xsd_integer,uri_xsd_decimal))
    | spl2_7 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f92,definition,
    ( spl2_8
  <=> ic(uri_xsd_decimal) ),
    introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).

fof(f93,plain,
    ( ic(uri_xsd_decimal)
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f94,plain,
    ( ~ ic(uri_xsd_decimal)
    | spl2_8 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f96,definition,
    ( spl2_9
  <=> ic(uri_xsd_integer) ),
    introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).

fof(f98,plain,
    ( ~ ic(uri_xsd_integer)
    | spl2_9 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f99,plain,
    ( ~ spl2_7
    | ~ spl2_8
    | ~ spl2_9
    | spl2_1 ),
    inference(avatar_split_clause,[],[f85,f52,f96,f92,f88]) ).

fof(f100,plain,
    ( ~ icext(uri_xsd_integer,sK0(uri_xsd_integer,uri_xsd_decimal))
    | spl2_7 ),
    inference(resolution,[],[f90,f38]) ).

fof(f102,plain,
    ( ~ ic(uri_xsd_integer)
    | ~ ic(uri_xsd_decimal)
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | spl2_7 ),
    inference(resolution,[],[f100,f43]) ).

fof(f110,plain,
    ( ~ idc(uri_xsd_decimal)
    | spl2_8 ),
    inference(resolution,[],[f94,f39]) ).

fof(f111,plain,
    ( $false
    | spl2_8 ),
    inference(forward_subsumption_resolution,[],[f110,f32]) ).

fof(f112,plain,
    spl2_8,
    inference(avatar_contradiction_clause,[],[f111]) ).

fof(f117,plain,
    ( ~ idc(uri_xsd_integer)
    | spl2_9 ),
    inference(resolution,[],[f98,f39]) ).

fof(f118,plain,
    ( $false
    | spl2_9 ),
    inference(forward_subsumption_resolution,[],[f117,f33]) ).

fof(f119,plain,
    spl2_9,
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f120,plain,
    ( ~ ic(uri_xsd_integer)
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | spl2_7
    | ~ spl2_8 ),
    inference(forward_subsumption_resolution,[],[f102,f93]) ).

fof(f121,plain,
    ( spl2_1
    | ~ spl2_9
    | spl2_7
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f120,f92,f88,f96,f52]) ).

fof(f123,plain,
    ( ~ ic(uri_xsd_decimal)
    | ~ ic(uri_xsd_string)
    | icext(uri_xsd_decimal,sK1(uri_xsd_decimal,uri_xsd_string))
    | spl2_2 ),
    inference(resolution,[],[f58,f49]) ).

fof(f124,plain,
    ( ~ ic(uri_xsd_decimal)
    | ~ ic(uri_xsd_string)
    | icext(uri_xsd_string,sK1(uri_xsd_decimal,uri_xsd_string))
    | spl2_2 ),
    inference(resolution,[],[f58,f48]) ).

fof(f125,plain,
    ( ~ ic(uri_xsd_string)
    | icext(uri_xsd_string,sK1(uri_xsd_decimal,uri_xsd_string))
    | spl2_2
    | ~ spl2_8 ),
    inference(forward_subsumption_resolution,[],[f124,f93]) ).

fof(f126,plain,
    ( ~ ic(uri_xsd_string)
    | icext(uri_xsd_decimal,sK1(uri_xsd_decimal,uri_xsd_string))
    | spl2_2
    | ~ spl2_8 ),
    inference(forward_subsumption_resolution,[],[f123,f93]) ).

fof(f128,definition,
    ( spl2_10
  <=> icext(uri_xsd_string,sK1(uri_xsd_decimal,uri_xsd_string)) ),
    introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).

fof(f130,plain,
    ( icext(uri_xsd_string,sK1(uri_xsd_decimal,uri_xsd_string))
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f132,definition,
    ( spl2_11
  <=> ic(uri_xsd_string) ),
    introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).

fof(f134,plain,
    ( ~ ic(uri_xsd_string)
    | spl2_11 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f135,plain,
    ( spl2_10
    | ~ spl2_11
    | spl2_2
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f125,f92,f56,f132,f128]) ).

fof(f137,definition,
    ( spl2_12
  <=> icext(uri_xsd_decimal,sK1(uri_xsd_decimal,uri_xsd_string)) ),
    introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).

fof(f139,plain,
    ( icext(uri_xsd_decimal,sK1(uri_xsd_decimal,uri_xsd_string))
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f140,plain,
    ( spl2_12
    | ~ spl2_11
    | spl2_2
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f126,f92,f56,f132,f137]) ).

fof(f145,plain,
    ( ~ idc(uri_xsd_string)
    | spl2_11 ),
    inference(resolution,[],[f134,f39]) ).

fof(f146,plain,
    ( $false
    | spl2_11 ),
    inference(forward_subsumption_resolution,[],[f145,f31]) ).

fof(f147,plain,
    spl2_11,
    inference(avatar_contradiction_clause,[],[f146]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ icext(uri_xsd_string,X0)
      | ~ icext(uri_xsd_decimal,X0) ),
    inference(resolution,[],[f61,f35]) ).

fof(f285,plain,
    ( ~ icext(uri_xsd_decimal,sK1(uri_xsd_decimal,uri_xsd_string))
    | ~ spl2_10 ),
    inference(resolution,[],[f227,f130]) ).

fof(f290,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(forward_subsumption_resolution,[],[f285,f139]) ).

fof(f291,plain,
    ( ~ spl2_10
    | ~ spl2_12 ),
    inference(avatar_contradiction_clause,[],[f290]) ).

cnf(s1,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(sat_conversion,[],[f59]) ).

cnf(s4,plain,
    ( spl2_1
    | ~ spl2_7
    | ~ spl2_8
    | ~ spl2_9 ),
    inference(sat_conversion,[],[f99]) ).

cnf(s6,plain,
    spl2_8,
    inference(sat_conversion,[],[f112]) ).

cnf(s7,plain,
    spl2_9,
    inference(sat_conversion,[],[f119]) ).

cnf(s8,plain,
    ( spl2_1
    | spl2_7
    | ~ spl2_8
    | ~ spl2_9 ),
    inference(sat_conversion,[],[f121]) ).

cnf(s9,plain,
    ( spl2_2
    | ~ spl2_8
    | spl2_10
    | ~ spl2_11 ),
    inference(sat_conversion,[],[f135]) ).

cnf(s10,plain,
    ( spl2_2
    | ~ spl2_8
    | ~ spl2_11
    | spl2_12 ),
    inference(sat_conversion,[],[f140]) ).

cnf(s11,plain,
    spl2_11,
    inference(sat_conversion,[],[f147]) ).

cnf(s16,plain,
    ( ~ spl2_10
    | ~ spl2_12 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s17,plain,
    ( spl2_2
    | ~ spl2_8
    | spl2_12 ),
    inference(rat,[],[s10,s11]) ).

cnf(s18,plain,
    ( spl2_2
    | ~ spl2_8
    | spl2_10 ),
    inference(rat,[],[s9,s11]) ).

cnf(s20,plain,
    ( spl2_1
    | ~ spl2_7 ),
    inference(rat,[],[s4,s7,s6]) ).

cnf(s21,plain,
    spl2_1,
    inference(rat,[],[s20,s8,s6,s7]) ).

cnf(s22,plain,
    ~ spl2_2,
    inference(rat,[],[s1,s21]) ).

cnf(s23,plain,
    spl2_12,
    inference(rat,[],[s17,s6,s22]) ).

cnf(s24,plain,
    spl2_10,
    inference(rat,[],[s18,s6,s22]) ).

cnf(s25,plain,
    $false,
    inference(rat,[],[s16,s23,s24]) ).

fof(f294,plain,
    $false,
    inference(avatar_sat_refutation,[],[s25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  % Computer : n019.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Mon Sep 28 07:09:34 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.78/1.27  % (3818964)Detected formulas, will run a generic FOF schedule.
% 2.78/1.27  % (3818970)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=892279480:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.78/1.27  % (3818972)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2099160381:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.78/1.27  % (3818974)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=544256249:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.78/1.27  % (3818972)Refutation not found, incomplete strategy
% 2.78/1.27  % (3818972)------------------------------
% 2.78/1.27  % (3818972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.27  % (3818972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.27  % (3818972)CaDiCaL version: 2.1.3
% 2.78/1.27  % (3818972)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.27  % (3818972)Time elapsed: 0.001 s
% 2.78/1.27  % (3818972)Peak memory usage: 87 MB
% 2.78/1.27  % (3818971)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=473314722:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.78/1.27  % (3818969)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=2308018764:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.78/1.27  % (3818974)First to succeed.
% 2.78/1.27  % (3818974)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3818964"
% 2.78/1.27  % (3818973)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3053044322:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.78/1.27  % (3818973)Refutation not found, incomplete strategy
% 2.78/1.27  % (3818973)------------------------------
% 2.78/1.27  % (3818973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.27  % (3818973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.27  % (3818973)CaDiCaL version: 2.1.3
% 2.78/1.27  % (3818973)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.27  % (3818973)Time elapsed: 0.001 s
% 2.78/1.27  % (3818973)Peak memory usage: 88 MB
% 2.78/1.27  % (3818973)Instructions burned: 1 (million)
% 2.78/1.27  % (3818975)dis-21_1_sil=8000:lcm=predicate:random_seed=143083472: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)
% 2.78/1.27  % (3818975)Also succeeded, but the first one will report.
% 2.78/1.27  % (3818972)------------------------------
% 2.78/1.27  % (3818972)------------------------------
% 2.78/1.27  % (3818973)------------------------------
% 2.78/1.27  % (3818973)------------------------------
% 2.78/1.27  % (3818974)Refutation found. Thanks to Tanya!
% 2.78/1.27  % SZS status Theorem for theBenchmark
% 2.78/1.27  % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.45  % (3818974)------------------------------
% 3.44/1.45  % (3818974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.45  % (3818974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.45  % (3818974)CaDiCaL version: 2.1.3
% 3.44/1.45  % (3818974)Termination reason: Refutation
% 3.44/1.45  % (3818974)Time elapsed: 0.008 s
% 3.44/1.45  % (3818974)Peak memory usage: 89 MB
% 3.44/1.45  % (3818974)Instructions burned: 8 (million)
% 3.44/1.45  % (3818974)------------------------------
% 3.44/1.45  % (3818974)------------------------------
% 3.44/1.45  % (3818964)Success in time 0.405 s
% 3.44/1.45  % Vampire exiting
%------------------------------------------------------------------------------