TSTP Solution File: SWB032+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n017.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 : Sat Sep  2 12:34:31 EDT 2023

% Result   : Theorem 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  124 (   7 unt;   0 def)
%            Number of atoms       :  376 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  409 ( 157   ~; 163   |;  59   &)
%                                         (  21 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  17 usr;  12 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  116 (; 108   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f536,plain,
    $false,
    inference(avatar_sat_refutation,[],[f73,f96,f130,f196,f205,f236,f325,f355,f360,f473,f529,f535]) ).

fof(f535,plain,
    ( spl4_1
    | ~ spl4_28 ),
    inference(avatar_contradiction_clause,[],[f534]) ).

fof(f534,plain,
    ( $false
    | spl4_1
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f531,f68]) ).

fof(f68,plain,
    ( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl4_1
  <=> iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f531,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ spl4_28 ),
    inference(resolution,[],[f235,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ sP1(X1,X0)
      | iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ sP1(X1,X0) )
      & ( sP1(X1,X0)
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> sP1(X1,X0) ),
    inference(definition_folding,[],[f24,f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( sP1(X1,X0)
    <=> ( ! [X2] :
            ( ~ icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ! [X2] :
            ~ ( icext(X1,X2)
              & icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_disjointWith,X1,X2)
    <=> ( ! [X0] :
            ~ ( icext(X2,X0)
              & icext(X1,X0) )
        & ic(X2)
        & ic(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_eqdis_disjointwith) ).

fof(f235,plain,
    ( sP1(uri_xsd_string,uri_xsd_decimal)
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl4_28
  <=> sP1(uri_xsd_string,uri_xsd_decimal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f529,plain,
    ( ~ spl4_47
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f424,f229,f470]) ).

fof(f470,plain,
    ( spl4_47
  <=> icext(uri_xsd_string,sK3(uri_xsd_string,uri_xsd_decimal)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

fof(f229,plain,
    ( spl4_27
  <=> icext(uri_xsd_decimal,sK3(uri_xsd_string,uri_xsd_decimal)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f424,plain,
    ( ~ icext(uri_xsd_string,sK3(uri_xsd_string,uri_xsd_decimal))
    | ~ spl4_27 ),
    inference(resolution,[],[f378,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( icext(uri_rdf_PlainLiteral,X0)
      | ~ icext(uri_xsd_string,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( icext(uri_rdf_PlainLiteral,X0)
      | ~ icext(uri_xsd_string,X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( icext(uri_xsd_string,X0)
     => icext(uri_rdf_PlainLiteral,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_dat_dtype_relation_subtype_string_plainliteral) ).

fof(f378,plain,
    ( ~ icext(uri_rdf_PlainLiteral,sK3(uri_xsd_string,uri_xsd_decimal))
    | ~ spl4_27 ),
    inference(resolution,[],[f364,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ icext(uri_owl_real,X0)
      | ~ icext(uri_rdf_PlainLiteral,X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ icext(uri_owl_real,X0)
      | ~ icext(uri_rdf_PlainLiteral,X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ~ ( icext(uri_owl_real,X0)
        & icext(uri_rdf_PlainLiteral,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

fof(f364,plain,
    ( icext(uri_owl_real,sK3(uri_xsd_string,uri_xsd_decimal))
    | ~ spl4_27 ),
    inference(resolution,[],[f340,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ icext(uri_owl_rational,X0)
      | icext(uri_owl_real,X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( icext(uri_owl_real,X0)
      | ~ icext(uri_owl_rational,X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( icext(uri_owl_rational,X0)
     => icext(uri_owl_real,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_dat_dtype_relation_subtype_rational_real) ).

fof(f340,plain,
    ( icext(uri_owl_rational,sK3(uri_xsd_string,uri_xsd_decimal))
    | ~ spl4_27 ),
    inference(resolution,[],[f231,f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ icext(uri_xsd_decimal,X0)
      | icext(uri_owl_rational,X0) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( icext(uri_owl_rational,X0)
      | ~ icext(uri_xsd_decimal,X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( icext(uri_xsd_decimal,X0)
     => icext(uri_owl_rational,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_dat_dtype_relation_subtype_decimal_rational) ).

fof(f231,plain,
    ( icext(uri_xsd_decimal,sK3(uri_xsd_string,uri_xsd_decimal))
    | ~ spl4_27 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f473,plain,
    ( spl4_28
    | spl4_47
    | ~ spl4_4
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f466,f202,f93,f470,f233]) ).

fof(f93,plain,
    ( spl4_4
  <=> sP0(uri_xsd_string,uri_xsd_string) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f202,plain,
    ( spl4_22
  <=> sP0(uri_xsd_decimal,uri_xsd_decimal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f466,plain,
    ( icext(uri_xsd_string,sK3(uri_xsd_string,uri_xsd_decimal))
    | sP1(uri_xsd_string,uri_xsd_decimal)
    | ~ spl4_4
    | ~ spl4_22 ),
    inference(resolution,[],[f333,f136]) ).

fof(f136,plain,
    ( ic(uri_xsd_string)
    | ~ spl4_4 ),
    inference(resolution,[],[f95,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( ~ icext(X0,sK2(X0,X1))
          & icext(X1,sK2(X0,X1)) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f31,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X0,X2)
          & icext(X1,X2) )
     => ( ~ icext(X0,sK2(X0,X1))
        & icext(X1,sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2] :
            ( ~ icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP0(X1,X0) ) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP0(X1,X0) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X1,X0] :
      ( sP0(X1,X0)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f95,plain,
    ( sP0(uri_xsd_string,uri_xsd_string)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f333,plain,
    ( ! [X3] :
        ( ~ ic(X3)
        | icext(X3,sK3(X3,uri_xsd_decimal))
        | sP1(X3,uri_xsd_decimal) )
    | ~ spl4_22 ),
    inference(resolution,[],[f328,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | icext(X0,sK3(X0,X1))
      | ~ ic(X0)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ( icext(X0,sK3(X0,X1))
          & icext(X1,sK3(X0,X1)) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP1(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f37,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( icext(X0,X2)
          & icext(X1,X2) )
     => ( icext(X0,sK3(X0,X1))
        & icext(X1,sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP1(X0,X1) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( ( sP1(X1,X0)
        | ? [X2] :
            ( icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP1(X1,X0) ) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X1,X0] :
      ( ( sP1(X1,X0)
        | ? [X2] :
            ( icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP1(X1,X0) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f328,plain,
    ( ic(uri_xsd_decimal)
    | ~ spl4_22 ),
    inference(resolution,[],[f204,f52]) ).

fof(f204,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_decimal)
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f360,plain,
    ( spl4_2
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f357,f193,f70]) ).

fof(f70,plain,
    ( spl4_2
  <=> iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f193,plain,
    ( spl4_20
  <=> sP0(uri_xsd_decimal,uri_xsd_integer) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f357,plain,
    ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ spl4_20 ),
    inference(resolution,[],[f195,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ sP0(X1,X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ sP0(X1,X0) )
      & ( sP0(X1,X0)
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> sP0(X1,X0) ),
    inference(definition_folding,[],[f23,f25]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X2] :
      ( iext(uri_rdfs_subClassOf,X1,X2)
    <=> ( ! [X0] :
            ( icext(X1,X0)
           => icext(X2,X0) )
        & ic(X2)
        & ic(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_rdfsext_subclassof) ).

fof(f195,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_integer)
    | ~ spl4_20 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f355,plain,
    ( spl4_20
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f354,f189,f193]) ).

fof(f189,plain,
    ( spl4_19
  <=> icext(uri_xsd_integer,sK2(uri_xsd_decimal,uri_xsd_integer)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f354,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_integer)
    | ~ spl4_19 ),
    inference(subsumption_resolution,[],[f353,f44]) ).

fof(f44,plain,
    idc(uri_xsd_decimal),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    idc(uri_xsd_decimal),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_dat_dtype_decimal_type) ).

fof(f353,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_integer)
    | ~ idc(uri_xsd_decimal)
    | ~ spl4_19 ),
    inference(subsumption_resolution,[],[f351,f43]) ).

fof(f43,plain,
    idc(uri_xsd_integer),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    idc(uri_xsd_integer),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_dat_dtype_integer_type) ).

fof(f351,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_integer)
    | ~ idc(uri_xsd_integer)
    | ~ idc(uri_xsd_decimal)
    | ~ spl4_19 ),
    inference(resolution,[],[f320,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ icext(X0,sK2(X0,X1))
      | sP0(X0,X1)
      | ~ idc(X1)
      | ~ idc(X0) ),
    inference(resolution,[],[f75,f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( idc(X0)
     => ic(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_parts_idc_cond_set) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ ic(X0)
      | ~ icext(X0,sK2(X0,X1))
      | sP0(X0,X1)
      | ~ idc(X1) ),
    inference(resolution,[],[f55,f45]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | ~ icext(X0,sK2(X0,X1))
      | ~ ic(X0)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f320,plain,
    ( icext(uri_xsd_decimal,sK2(uri_xsd_decimal,uri_xsd_integer))
    | ~ spl4_19 ),
    inference(resolution,[],[f191,f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ icext(uri_xsd_integer,X0)
      | icext(uri_xsd_decimal,X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( icext(uri_xsd_decimal,X0)
      | ~ icext(uri_xsd_integer,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( icext(uri_xsd_integer,X0)
     => icext(uri_xsd_decimal,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_dat_dtype_relation_subtype_integer_decimal) ).

fof(f191,plain,
    ( icext(uri_xsd_integer,sK2(uri_xsd_decimal,uri_xsd_integer))
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f325,plain,
    ( spl4_22
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f324,f198,f202]) ).

fof(f198,plain,
    ( spl4_21
  <=> icext(uri_xsd_decimal,sK2(uri_xsd_decimal,uri_xsd_decimal)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

fof(f324,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_decimal)
    | ~ spl4_21 ),
    inference(subsumption_resolution,[],[f323,f44]) ).

fof(f323,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_decimal)
    | ~ idc(uri_xsd_decimal)
    | ~ spl4_21 ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f321,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_decimal)
    | ~ idc(uri_xsd_decimal)
    | ~ idc(uri_xsd_decimal)
    | ~ spl4_21 ),
    inference(resolution,[],[f200,f79]) ).

fof(f200,plain,
    ( icext(uri_xsd_decimal,sK2(uri_xsd_decimal,uri_xsd_decimal))
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f236,plain,
    ( spl4_27
    | spl4_28 ),
    inference(avatar_split_clause,[],[f209,f233,f229]) ).

fof(f209,plain,
    ( sP1(uri_xsd_string,uri_xsd_decimal)
    | icext(uri_xsd_decimal,sK3(uri_xsd_string,uri_xsd_decimal)) ),
    inference(resolution,[],[f124,f44]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ idc(X0)
      | sP1(uri_xsd_string,X0)
      | icext(X0,sK3(uri_xsd_string,X0)) ),
    inference(resolution,[],[f80,f42]) ).

fof(f42,plain,
    idc(uri_xsd_string),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    idc(uri_xsd_string),
    file('/export/starexec/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',owl_dat_dtype_string_type) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ idc(X1)
      | sP1(X1,X0)
      | ~ idc(X0)
      | icext(X0,sK3(X1,X0)) ),
    inference(resolution,[],[f76,f45]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | icext(X0,sK3(X1,X0))
      | sP1(X1,X0)
      | ~ idc(X0) ),
    inference(resolution,[],[f61,f45]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | icext(X1,sK3(X0,X1))
      | ~ ic(X0)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f205,plain,
    ( spl4_21
    | spl4_22 ),
    inference(avatar_split_clause,[],[f178,f202,f198]) ).

fof(f178,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_decimal)
    | icext(uri_xsd_decimal,sK2(uri_xsd_decimal,uri_xsd_decimal)) ),
    inference(resolution,[],[f84,f44]) ).

fof(f84,plain,
    ! [X2] :
      ( ~ idc(X2)
      | sP0(uri_xsd_decimal,X2)
      | icext(X2,sK2(uri_xsd_decimal,X2)) ),
    inference(resolution,[],[f78,f44]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ idc(X1)
      | sP0(X1,X0)
      | ~ idc(X0)
      | icext(X0,sK2(X1,X0)) ),
    inference(resolution,[],[f74,f45]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | icext(X0,sK2(X1,X0))
      | sP0(X1,X0)
      | ~ idc(X0) ),
    inference(resolution,[],[f54,f45]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | icext(X1,sK2(X0,X1))
      | ~ ic(X0)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f196,plain,
    ( spl4_19
    | spl4_20 ),
    inference(avatar_split_clause,[],[f177,f193,f189]) ).

fof(f177,plain,
    ( sP0(uri_xsd_decimal,uri_xsd_integer)
    | icext(uri_xsd_integer,sK2(uri_xsd_decimal,uri_xsd_integer)) ),
    inference(resolution,[],[f84,f43]) ).

fof(f130,plain,
    ( spl4_4
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f129,f89,f93]) ).

fof(f89,plain,
    ( spl4_3
  <=> icext(uri_xsd_string,sK2(uri_xsd_string,uri_xsd_string)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f129,plain,
    ( sP0(uri_xsd_string,uri_xsd_string)
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f128,f42]) ).

fof(f128,plain,
    ( sP0(uri_xsd_string,uri_xsd_string)
    | ~ idc(uri_xsd_string)
    | ~ spl4_3 ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ( sP0(uri_xsd_string,uri_xsd_string)
    | ~ idc(uri_xsd_string)
    | ~ idc(uri_xsd_string)
    | ~ spl4_3 ),
    inference(resolution,[],[f91,f79]) ).

fof(f91,plain,
    ( icext(uri_xsd_string,sK2(uri_xsd_string,uri_xsd_string))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f96,plain,
    ( spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f85,f93,f89]) ).

fof(f85,plain,
    ( sP0(uri_xsd_string,uri_xsd_string)
    | icext(uri_xsd_string,sK2(uri_xsd_string,uri_xsd_string)) ),
    inference(resolution,[],[f82,f42]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ idc(X0)
      | sP0(uri_xsd_string,X0)
      | icext(X0,sK2(uri_xsd_string,X0)) ),
    inference(resolution,[],[f78,f42]) ).

fof(f73,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f41,f70,f66]) ).

fof(f41,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(ennf_transformation,[],[f13]) ).

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,[],[f12]) ).

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/sandbox/tmp/tmp.NJ1PoAez81/Vampire---4.8_22487',testcase_conclusion_fullish_032_Datatype_Relationships) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Aug 30 15:40:59 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.41  % (22593)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (22597)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.41  Detected minimum model sizes of [1,1,1]
% 0.20/0.41  Detected maximum model sizes of [max,2,max]
% 0.20/0.41  TRYING [1,1,1]
% 0.20/0.41  TRYING [2,1,1]
% 0.20/0.41  TRYING [3,1,1]
% 0.20/0.41  % (22594)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.41  % (22595)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.41  % (22596)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.20/0.41  % (22598)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.20/0.41  % (22599)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.20/0.41  % (22600)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.41  TRYING [2,2,1]
% 0.20/0.41  TRYING [2,1,2]
% 0.20/0.41  Detected minimum model sizes of [1,1,1]
% 0.20/0.41  Detected maximum model sizes of [max,2,max]
% 0.20/0.41  TRYING [1]
% 0.20/0.41  TRYING [3,2,1]
% 0.20/0.41  TRYING [1,1,1]
% 0.20/0.41  TRYING [2]
% 0.20/0.41  TRYING [2,1,1]
% 0.20/0.41  TRYING [2,2,2]
% 0.20/0.41  TRYING [1]
% 0.20/0.41  TRYING [2]
% 0.20/0.41  TRYING [3,1,1]
% 0.20/0.41  TRYING [3,1,2]
% 0.20/0.41  TRYING [3]
% 0.20/0.41  TRYING [3]
% 0.20/0.41  TRYING [3,2,2]
% 0.20/0.41  TRYING [2,2,1]
% 0.20/0.41  TRYING [4,2,1]
% 0.20/0.41  TRYING [2,1,2]
% 0.20/0.42  TRYING [4]
% 0.20/0.42  TRYING [3,1,3]
% 0.20/0.42  TRYING [3,1,2]
% 0.20/0.42  TRYING [4]
% 0.20/0.42  TRYING [4,2,2]
% 0.20/0.42  TRYING [2,2,2]
% 0.20/0.42  TRYING [3,2,3]
% 0.20/0.42  TRYING [3,2,1]
% 0.20/0.42  % (22599)First to succeed.
% 0.20/0.42  TRYING [5,2,1]
% 0.20/0.42  TRYING [5]
% 0.20/0.42  TRYING [3,2,2]
% 0.20/0.42  TRYING [4,2,3]
% 0.20/0.42  TRYING [5]
% 0.20/0.42  % (22599)Refutation found. Thanks to Tanya!
% 0.20/0.42  % SZS status Theorem for Vampire---4
% 0.20/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42  % (22599)------------------------------
% 0.20/0.42  % (22599)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42  % (22599)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42  % (22599)Termination reason: Refutation
% 0.20/0.42  
% 0.20/0.42  % (22599)Memory used [KB]: 5628
% 0.20/0.42  % (22599)Time elapsed: 0.011 s
% 0.20/0.42  % (22599)------------------------------
% 0.20/0.42  % (22599)------------------------------
% 0.20/0.42  % (22593)Success in time 0.069 s
% 0.20/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------