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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 : Thu Sep 24 02:37:13 PM UTC 2026

% Result   : Theorem 0.14s 15.62s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  100 (  10 unt;  12 def)
%            Number of atoms       :  298 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  346 ( 148   ~; 140   |;  36   &)
%                                         (  16 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  16 usr;  13 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   90 (  86   !;   4   ?)

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

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

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

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

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

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

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

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

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

fof(f10,axiom,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ! [X] :
            ( icext(C1,X)
           => icext(C2,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ! [X] :
            ~ ( icext(C2,X)
              & icext(C1,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f14,plain,
    idc(uri_xsd_string),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f15,plain,
    idc(uri_xsd_decimal),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f16,plain,
    idc(uri_xsd_integer),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f17,plain,
    ! [X] :
      ( ~ icext(uri_owl_real,X)
      | ~ icext(uri_rdf_PlainLiteral,X) ),
    inference(pre_NNF_transformation,[status(thm)],[f4]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ icext(uri_owl_real,X0)
      | ~ icext(uri_rdf_PlainLiteral,X0) ),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f19,plain,
    ! [X] :
      ( icext(uri_rdf_PlainLiteral,X)
      | ~ icext(uri_xsd_string,X) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f20,plain,
    ! [X0] :
      ( icext(uri_rdf_PlainLiteral,X0)
      | ~ icext(uri_xsd_string,X0) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f21,plain,
    ! [X] :
      ( icext(uri_owl_real,X)
      | ~ icext(uri_owl_rational,X) ),
    inference(pre_NNF_transformation,[status(thm)],[f6]) ).

fof(f22,plain,
    ! [X0] :
      ( icext(uri_owl_real,X0)
      | ~ icext(uri_owl_rational,X0) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f23,plain,
    ! [X] :
      ( icext(uri_owl_rational,X)
      | ~ icext(uri_xsd_decimal,X) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f24,plain,
    ! [X0] :
      ( icext(uri_owl_rational,X0)
      | ~ icext(uri_xsd_decimal,X0) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f25,plain,
    ! [X] :
      ( icext(uri_xsd_decimal,X)
      | ~ icext(uri_xsd_integer,X) ),
    inference(pre_NNF_transformation,[status(thm)],[f8]) ).

fof(f26,plain,
    ! [X0] :
      ( icext(uri_xsd_decimal,X0)
      | ~ icext(uri_xsd_integer,X0) ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f27,plain,
    ! [X] :
      ( ic(X)
      | ~ idc(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f28,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f29,plain,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ! [X] :
            ( icext(C2,X)
            | ~ icext(C1,X) )
        & ic(C2)
        & ic(C1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f30,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
      & ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(NNF_transformation,[status(thm)],[f29]) ).

fof(f31,plain,
    ( ! [C1,C2] :
        ( ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(miniscoping,[status(thm)],[f30]) ).

fof(f32,plain,
    ( ! [C1,C2] :
        ( ( ~ icext(C2,sK0_skl(C2,C1))
          & icext(C1,sK0_skl(C2,C1)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(C2,C1))],[f31]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( icext(X0,sK0_skl(X1,X0))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK0_skl(X1,X0))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f38,plain,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ! [X] :
            ( ~ icext(C2,X)
            | ~ icext(C1,X) )
        & ic(C2)
        & ic(C1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f39,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_disjointWith,C1,C2) )
      & ( ( ! [X] :
              ( ~ icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(NNF_transformation,[status(thm)],[f38]) ).

fof(f40,plain,
    ( ! [C1,C2] :
        ( ? [X] :
            ( icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_disjointWith,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( ~ icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(miniscoping,[status(thm)],[f39]) ).

fof(f41,plain,
    ( ! [C1,C2] :
        ( ( icext(C2,sK1_skl(C2,C1))
          & icext(C1,sK1_skl(C2,C1)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_disjointWith,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( ~ icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl(C2,C1))],[f40]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( icext(X0,sK1_skl(X1,X0))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( icext(X1,sK1_skl(X1,X0))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f47,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(pre_NNF_transformation,[status(thm)],[f13]) ).

fof(f48,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f49,definition,
    ( sQ0_spl
  <=> iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f51,plain,
    ( sQ0_spl
    | ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(component_clause,[status(thm)],[f49]) ).

fof(f52,definition,
    ( sQ1_spl
  <=> iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f54,plain,
    ( sQ1_spl
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(component_clause,[status(thm)],[f52]) ).

fof(f55,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f48,f49,f52]) ).

fof(f58,plain,
    ! [X0] :
      ( icext(uri_owl_real,X0)
      | ~ icext(uri_xsd_decimal,X0) ),
    inference(resolution,[status(thm)],[f24,f22]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ icext(uri_rdf_PlainLiteral,X0)
      | ~ icext(uri_xsd_decimal,X0) ),
    inference(resolution,[status(thm)],[f58,f18]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ icext(uri_xsd_integer,X0)
      | ~ icext(uri_rdf_PlainLiteral,X0) ),
    inference(resolution,[status(thm)],[f59,f26]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | ~ iext(uri_rdfs_subClassOf,X1,uri_xsd_decimal)
      | ~ icext(uri_rdf_PlainLiteral,X0) ),
    inference(resolution,[status(thm)],[f59,f35]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | ~ iext(uri_rdfs_subClassOf,X1,uri_xsd_integer)
      | ~ icext(uri_rdf_PlainLiteral,X0) ),
    inference(resolution,[status(thm)],[f60,f35]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ icext(uri_rdf_PlainLiteral,sK0_skl(X0,uri_xsd_integer))
      | ~ ic(X0)
      | ~ ic(uri_xsd_integer)
      | iext(uri_rdfs_subClassOf,uri_xsd_integer,X0) ),
    inference(resolution,[status(thm)],[f36,f60]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ icext(uri_rdf_PlainLiteral,sK0_skl(X0,uri_xsd_decimal))
      | ~ ic(X0)
      | ~ ic(uri_xsd_decimal)
      | iext(uri_rdfs_subClassOf,uri_xsd_decimal,X0) ),
    inference(resolution,[status(thm)],[f36,f59]) ).

fof(f67,definition,
    ! [X0] :
      ( sQ2_spl
    <=> ( ~ icext(uri_rdf_PlainLiteral,sK0_skl(X0,uri_xsd_integer))
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,uri_xsd_integer,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f70,definition,
    ( sQ3_spl
  <=> ic(uri_xsd_integer) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f72,plain,
    ( sQ3_spl
    | ~ ic(uri_xsd_integer) ),
    inference(component_clause,[status(thm)],[f70]) ).

fof(f73,plain,
    ( ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f63,f67,f70]) ).

fof(f74,definition,
    ! [X0] :
      ( sQ4_spl
    <=> ( ~ icext(uri_rdf_PlainLiteral,sK0_skl(X0,uri_xsd_decimal))
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,uri_xsd_decimal,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f77,definition,
    ( sQ5_spl
  <=> ic(uri_xsd_decimal) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f79,plain,
    ( sQ5_spl
    | ~ ic(uri_xsd_decimal) ),
    inference(component_clause,[status(thm)],[f77]) ).

fof(f80,plain,
    ( ~ sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f64,f74,f77]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ icext(X0,X1)
      | ~ icext(uri_rdf_PlainLiteral,X1)
      | ~ icext(uri_xsd_integer,sK0_skl(uri_xsd_integer,X0))
      | ~ ic(uri_xsd_integer)
      | ~ ic(X0) ),
    inference(resolution,[status(thm)],[f37,f62]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ icext(X0,X1)
      | ~ icext(uri_rdf_PlainLiteral,X1)
      | ~ icext(uri_xsd_decimal,sK0_skl(uri_xsd_decimal,X0))
      | ~ ic(uri_xsd_decimal)
      | ~ ic(X0) ),
    inference(resolution,[status(thm)],[f37,f61]) ).

fof(f99,definition,
    ! [X0,X1] :
      ( sQ10_spl
    <=> ( ~ icext(X0,X1)
        | ~ icext(uri_rdf_PlainLiteral,X1)
        | ~ icext(uri_xsd_integer,sK0_skl(uri_xsd_integer,X0))
        | ~ ic(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f102,plain,
    ( ~ sQ3_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f95,f99,f70]) ).

fof(f103,definition,
    ! [X0,X1] :
      ( sQ11_spl
    <=> ( ~ icext(X0,X1)
        | ~ icext(uri_rdf_PlainLiteral,X1)
        | ~ icext(uri_xsd_decimal,sK0_skl(uri_xsd_decimal,X0))
        | ~ ic(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f106,plain,
    ( ~ sQ5_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f96,f103,f77]) ).

fof(f115,plain,
    ( sQ5_spl
    | ~ idc(uri_xsd_decimal) ),
    inference(resolution,[status(thm)],[f79,f28]) ).

fof(f120,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f115,f15]) ).

fof(f121,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f120]) ).

fof(f122,plain,
    ( sQ3_spl
    | ~ idc(uri_xsd_integer) ),
    inference(resolution,[status(thm)],[f72,f28]) ).

fof(f127,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f122,f16]) ).

fof(f128,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f127]) ).

fof(f129,plain,
    ( sQ0_spl
    | icext(uri_xsd_decimal,sK1_skl(uri_xsd_string,uri_xsd_decimal))
    | ~ ic(uri_xsd_string)
    | ~ ic(uri_xsd_decimal) ),
    inference(resolution,[status(thm)],[f45,f51]) ).

fof(f131,definition,
    ( sQ14_spl
  <=> ic(uri_xsd_string) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f133,plain,
    ( sQ14_spl
    | ~ ic(uri_xsd_string) ),
    inference(component_clause,[status(thm)],[f131]) ).

fof(f134,definition,
    ( sQ15_spl
  <=> icext(uri_xsd_decimal,sK1_skl(uri_xsd_string,uri_xsd_decimal)) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f135,plain,
    ( ~ sQ15_spl
    | icext(uri_xsd_decimal,sK1_skl(uri_xsd_string,uri_xsd_decimal)) ),
    inference(component_clause,[status(thm)],[f134]) ).

fof(f137,plain,
    ( sQ0_spl
    | sQ15_spl
    | ~ sQ14_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f129,f77,f131,f134,f49]) ).

fof(f139,plain,
    ( sQ1_spl
    | ~ icext(uri_xsd_decimal,sK0_skl(uri_xsd_decimal,uri_xsd_integer))
    | ~ ic(uri_xsd_decimal)
    | ~ ic(uri_xsd_integer) ),
    inference(resolution,[status(thm)],[f54,f37]) ).

fof(f140,definition,
    ( sQ16_spl
  <=> icext(uri_xsd_decimal,sK0_skl(uri_xsd_decimal,uri_xsd_integer)) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f142,plain,
    ( sQ16_spl
    | ~ icext(uri_xsd_decimal,sK0_skl(uri_xsd_decimal,uri_xsd_integer)) ),
    inference(component_clause,[status(thm)],[f140]) ).

fof(f143,plain,
    ( sQ1_spl
    | ~ sQ16_spl
    | ~ sQ5_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f139,f70,f77,f140,f52]) ).

fof(f144,plain,
    ( sQ14_spl
    | ~ idc(uri_xsd_string) ),
    inference(resolution,[status(thm)],[f133,f28]) ).

fof(f149,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f144,f14]) ).

fof(f150,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f149]) ).

fof(f151,plain,
    ( sQ0_spl
    | icext(uri_xsd_string,sK1_skl(uri_xsd_string,uri_xsd_decimal))
    | ~ ic(uri_xsd_string)
    | ~ ic(uri_xsd_decimal) ),
    inference(resolution,[status(thm)],[f51,f46]) ).

fof(f153,definition,
    ( sQ17_spl
  <=> icext(uri_xsd_string,sK1_skl(uri_xsd_string,uri_xsd_decimal)) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f154,plain,
    ( ~ sQ17_spl
    | icext(uri_xsd_string,sK1_skl(uri_xsd_string,uri_xsd_decimal)) ),
    inference(component_clause,[status(thm)],[f153]) ).

fof(f156,plain,
    ( sQ0_spl
    | sQ17_spl
    | ~ sQ14_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f151,f77,f131,f153,f49]) ).

fof(f158,plain,
    ( sQ16_spl
    | ~ icext(uri_xsd_integer,sK0_skl(uri_xsd_decimal,uri_xsd_integer)) ),
    inference(resolution,[status(thm)],[f142,f26]) ).

fof(f160,plain,
    ( ~ sQ15_spl
    | ~ icext(uri_rdf_PlainLiteral,sK1_skl(uri_xsd_string,uri_xsd_decimal)) ),
    inference(resolution,[status(thm)],[f135,f59]) ).

fof(f161,plain,
    ( sQ16_spl
    | ~ ic(uri_xsd_decimal)
    | ~ ic(uri_xsd_integer)
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(resolution,[status(thm)],[f158,f36]) ).

fof(f163,plain,
    ( sQ16_spl
    | ~ sQ5_spl
    | ~ sQ3_spl
    | sQ1_spl ),
    inference(split_clause,[status(thm)],[f161,f52,f70,f77,f140]) ).

fof(f165,plain,
    ( ~ sQ15_spl
    | ~ icext(uri_xsd_string,sK1_skl(uri_xsd_string,uri_xsd_decimal)) ),
    inference(resolution,[status(thm)],[f160,f20]) ).

fof(f167,plain,
    ( ~ sQ15_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f165,f154]) ).

fof(f168,plain,
    ( ~ sQ15_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f167]) ).

fof(f169,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f55,f73,f80,f102,f106,f121,f128,f137,f143,f150,f156,f163,f168]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.59  % Computer : n010.cluster.edu
% 0.09/15.59  % Model    : x86_64 x86_64
% 0.09/15.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.59  % Memory   : 8046.5625MB
% 0.09/15.59  % OS       : Linux 6.8.0-71-generic
% 0.09/15.59  % CPULimit : 300
% 0.09/15.59  % WCLimit  : 300
% 0.09/15.59  % DateTime : Mon Sep 21 07:43:40 UTC 2026
% 0.09/15.59  % CPUTime  : 
% 0.14/15.60  % Drodi V4.1.1
% 0.14/15.62  % Refutation found
% 0.14/15.62  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/15.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/15.66  % Elapsed time: 0.048060 seconds
% 0.14/15.66  % CPU time: 0.152746 seconds
% 0.14/15.66  % Total memory used: 17.909 MB
% 0.14/15.66  % Net memory used: 17.506 MB
%------------------------------------------------------------------------------