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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB021+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 01:00:43 PM UTC 2026

% Result   : Theorem 1.61s 0.64s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  272 (  61 unt;  23 def)
%            Number of atoms       : 1028 ( 102 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives : 1355 ( 599   ~; 655   |;  53   &)
%                                         (  43 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   28 (  26 usr;  24 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  23 con; 0-2 aty)
%            Number of variables   :  400 (   0 sgn 391   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_oneOf,X0,X1)
     => ( ic(X0)
        & icext(uri_rdf_List,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_unionOf,X0,X1)
     => ( ic(X0)
        & icext(uri_rdf_List,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,uri_rdf_nil) )
     => ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                | icext(X4,X5) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( X5 = X2
                | X5 = X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,X5)
        & iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X5,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( X7 = X2
                | X7 = X4
                | X7 = X6 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_003) ).

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

fof(f7,conjecture,
    iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).

fof(f8,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,axiom,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( iext(uri_owl_oneOf,uri_ex_c1,X0)
      & iext(uri_rdf_first,X0,uri_ex_w1)
      & iext(uri_rdf_rest,X0,X1)
      & iext(uri_rdf_first,X1,uri_ex_w2)
      & iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_c2,X2)
      & iext(uri_rdf_first,X2,uri_ex_w2)
      & iext(uri_rdf_rest,X2,X3)
      & iext(uri_rdf_first,X3,uri_ex_w3)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_c3,X4)
      & iext(uri_rdf_first,X4,uri_ex_w1)
      & iext(uri_rdf_rest,X4,X5)
      & iext(uri_rdf_first,X5,uri_ex_w2)
      & iext(uri_rdf_rest,X5,X6)
      & iext(uri_rdf_first,X6,uri_ex_w3)
      & iext(uri_rdf_rest,X6,uri_rdf_nil)
      & iext(uri_owl_unionOf,uri_ex_c4,X7)
      & iext(uri_rdf_first,X7,uri_ex_c1)
      & iext(uri_rdf_rest,X7,X8)
      & iext(uri_rdf_first,X8,uri_ex_c2)
      & iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).

fof(f10,plain,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(flattening,[],[f8]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & icext(uri_rdf_List,X1) )
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & icext(uri_rdf_List,X1) )
      | ~ iext(uri_owl_unionOf,X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                | icext(X4,X5) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                | icext(X4,X5) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(flattening,[],[f13]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( X5 = X2
                | X5 = X4 ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( X5 = X2
                | X5 = X4 ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( X7 = X2
                | X7 = X4
                | X7 = X6 ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( X7 = X2
                | X7 = X4
                | X7 = X6 ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(flattening,[],[f17]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f23,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X4,X5)
      | icext(X2,X5)
      | ~ icext(X0,X5)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ icext(X4,X5)
      | icext(X0,X5)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f25,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ icext(X2,X5)
      | icext(X0,X5)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | X4 = X5
      | X2 = X5
      | ~ icext(X0,X5)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f33,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | X4 != X5
      | icext(X0,X5)
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | X2 != X5
      | icext(X0,X5)
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | X6 = X7
      | X4 = X7
      | X2 = X7
      | ~ icext(X0,X7)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | X6 != X7
      | icext(X0,X7)
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | X4 != X7
      | icext(X0,X7)
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f42,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | X2 != X7
      | icext(X0,X7)
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( icext(X1,sK3(X0,X1))
      | icext(X0,sK3(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK3(X0,X1))
      | ~ icext(X0,sK3(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(cnf_transformation,[],[f10]) ).

fof(f55,plain,
    iext(uri_rdf_rest,sK12,uri_rdf_nil),
    inference(cnf_transformation,[],[f9]) ).

fof(f56,plain,
    iext(uri_rdf_first,sK12,uri_ex_c2),
    inference(cnf_transformation,[],[f9]) ).

fof(f57,plain,
    iext(uri_rdf_rest,sK11,sK12),
    inference(cnf_transformation,[],[f9]) ).

fof(f58,plain,
    iext(uri_rdf_first,sK11,uri_ex_c1),
    inference(cnf_transformation,[],[f9]) ).

fof(f59,plain,
    iext(uri_owl_unionOf,uri_ex_c4,sK11),
    inference(cnf_transformation,[],[f9]) ).

fof(f60,plain,
    iext(uri_rdf_rest,sK10,uri_rdf_nil),
    inference(cnf_transformation,[],[f9]) ).

fof(f61,plain,
    iext(uri_rdf_first,sK10,uri_ex_w3),
    inference(cnf_transformation,[],[f9]) ).

fof(f62,plain,
    iext(uri_rdf_rest,sK9,sK10),
    inference(cnf_transformation,[],[f9]) ).

fof(f63,plain,
    iext(uri_rdf_first,sK9,uri_ex_w2),
    inference(cnf_transformation,[],[f9]) ).

fof(f64,plain,
    iext(uri_rdf_rest,sK8,sK9),
    inference(cnf_transformation,[],[f9]) ).

fof(f65,plain,
    iext(uri_rdf_first,sK8,uri_ex_w1),
    inference(cnf_transformation,[],[f9]) ).

fof(f66,plain,
    iext(uri_owl_oneOf,uri_ex_c3,sK8),
    inference(cnf_transformation,[],[f9]) ).

fof(f67,plain,
    iext(uri_rdf_rest,sK7,uri_rdf_nil),
    inference(cnf_transformation,[],[f9]) ).

fof(f68,plain,
    iext(uri_rdf_first,sK7,uri_ex_w3),
    inference(cnf_transformation,[],[f9]) ).

fof(f69,plain,
    iext(uri_rdf_rest,sK6,sK7),
    inference(cnf_transformation,[],[f9]) ).

fof(f70,plain,
    iext(uri_rdf_first,sK6,uri_ex_w2),
    inference(cnf_transformation,[],[f9]) ).

fof(f71,plain,
    iext(uri_owl_oneOf,uri_ex_c2,sK6),
    inference(cnf_transformation,[],[f9]) ).

fof(f72,plain,
    iext(uri_rdf_rest,sK5,uri_rdf_nil),
    inference(cnf_transformation,[],[f9]) ).

fof(f73,plain,
    iext(uri_rdf_first,sK5,uri_ex_w2),
    inference(cnf_transformation,[],[f9]) ).

fof(f74,plain,
    iext(uri_rdf_rest,sK4,sK5),
    inference(cnf_transformation,[],[f9]) ).

fof(f75,plain,
    iext(uri_rdf_first,sK4,uri_ex_w1),
    inference(cnf_transformation,[],[f9]) ).

fof(f76,plain,
    iext(uri_owl_oneOf,uri_ex_c1,sK4),
    inference(cnf_transformation,[],[f9]) ).

fof(f77,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X5)
      | icext(X0,X5)
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(equality_resolution,[],[f34]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X5] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X5)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X0,X5)
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(equality_resolution,[],[f33]) ).

fof(f79,plain,
    ! [X3,X0,X1,X6,X7,X4,X5] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X7)
      | icext(X0,X7)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(equality_resolution,[],[f42]) ).

fof(f80,plain,
    ! [X2,X3,X0,X1,X6,X7,X5] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X7)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X0,X7)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(equality_resolution,[],[f41]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X5,X7)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X0,X7)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(equality_resolution,[],[f40]) ).

fof(f82,plain,
    ic(uri_ex_c3),
    inference(resolution,[],[f20,f66]) ).

fof(f85,plain,
    ic(uri_ex_c4),
    inference(resolution,[],[f22,f59]) ).

fof(f140,definition,
    ( spl13_9
  <=> ! [X1] : ~ iext(uri_rdf_first,sK11,X1) ),
    introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).

fof(f141,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK11,X1)
    | ~ spl13_9 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f146,plain,
    ( $false
    | ~ spl13_9 ),
    inference(resolution,[],[f141,f58]) ).

fof(f147,plain,
    ~ spl13_9,
    inference(avatar_contradiction_clause,[],[f146]) ).

fof(f173,definition,
    ( spl13_16
  <=> ! [X0] : ~ iext(uri_rdf_first,sK7,X0) ),
    introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).

fof(f174,plain,
    ( ! [X0] : ~ iext(uri_rdf_first,sK7,X0)
    | ~ spl13_16 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f180,definition,
    ( spl13_18
  <=> ! [X0] : ~ iext(uri_rdf_first,sK5,X0) ),
    introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).

fof(f181,plain,
    ( ! [X0] : ~ iext(uri_rdf_first,sK5,X0)
    | ~ spl13_18 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f185,plain,
    ( $false
    | ~ spl13_16 ),
    inference(resolution,[],[f174,f68]) ).

fof(f186,plain,
    ~ spl13_16,
    inference(avatar_contradiction_clause,[],[f185]) ).

fof(f187,plain,
    ( $false
    | ~ spl13_18 ),
    inference(resolution,[],[f181,f73]) ).

fof(f188,plain,
    ~ spl13_18,
    inference(avatar_contradiction_clause,[],[f187]) ).

fof(f225,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK5,X0)
      | ~ iext(uri_rdf_rest,X1,sK5)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X3,X2)
      | ~ iext(uri_owl_oneOf,X3,X1) ),
    inference(resolution,[],[f77,f72]) ).

fof(f226,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK7,X0)
      | ~ iext(uri_rdf_rest,X1,sK7)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X3,X2)
      | ~ iext(uri_owl_oneOf,X3,X1) ),
    inference(resolution,[],[f77,f67]) ).

fof(f238,definition,
    ( spl13_28
  <=> ! [X2,X1,X3] :
        ( ~ iext(uri_rdf_rest,X1,sK7)
        | ~ iext(uri_owl_oneOf,X3,X1)
        | icext(X3,X2)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl13_28])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X2,X3,X1] :
        ( ~ iext(uri_rdf_rest,X1,sK7)
        | ~ iext(uri_owl_oneOf,X3,X1)
        | icext(X3,X2)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl13_28 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f240,plain,
    ( spl13_28
    | spl13_16 ),
    inference(avatar_split_clause,[],[f226,f173,f238]) ).

fof(f242,definition,
    ( spl13_29
  <=> ! [X2,X1,X3] :
        ( ~ iext(uri_rdf_rest,X1,sK5)
        | ~ iext(uri_owl_oneOf,X3,X1)
        | icext(X3,X2)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl13_29])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X2,X3,X1] :
        ( ~ iext(uri_rdf_rest,X1,sK5)
        | ~ iext(uri_owl_oneOf,X3,X1)
        | icext(X3,X2)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl13_29 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f244,plain,
    ( spl13_29
    | spl13_18 ),
    inference(avatar_split_clause,[],[f225,f180,f242]) ).

fof(f249,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_rest,X1,sK7)
      | ~ iext(uri_rdf_first,sK7,X0)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X3,X0)
      | ~ iext(uri_owl_oneOf,X3,X1) ),
    inference(resolution,[],[f78,f67]) ).

fof(f256,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK6,X1)
        | icext(X0,X1)
        | ~ iext(uri_owl_oneOf,X0,sK6) )
    | ~ spl13_28 ),
    inference(resolution,[],[f239,f69]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_oneOf,X0,sK6)
        | icext(X0,uri_ex_w2) )
    | ~ spl13_28 ),
    inference(resolution,[],[f256,f70]) ).

fof(f258,plain,
    ( icext(uri_ex_c2,uri_ex_w2)
    | ~ spl13_28 ),
    inference(resolution,[],[f257,f71]) ).

fof(f259,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK4,X1)
        | icext(X0,X1)
        | ~ iext(uri_owl_oneOf,X0,sK4) )
    | ~ spl13_29 ),
    inference(resolution,[],[f243,f74]) ).

fof(f260,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_oneOf,X0,sK4)
        | icext(X0,uri_ex_w1) )
    | ~ spl13_29 ),
    inference(resolution,[],[f259,f75]) ).

fof(f261,plain,
    ( icext(uri_ex_c1,uri_ex_w1)
    | ~ spl13_29 ),
    inference(resolution,[],[f260,f76]) ).

fof(f276,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK7,X0)
      | ~ iext(uri_rdf_first,sK6,X1)
      | icext(X2,X0)
      | ~ iext(uri_owl_oneOf,X2,sK6) ),
    inference(resolution,[],[f249,f69]) ).

fof(f278,definition,
    ( spl13_32
  <=> ! [X1] : ~ iext(uri_rdf_first,sK6,X1) ),
    introduced(definition,[new_symbols(definition,[spl13_32])],[avatar_definition]) ).

fof(f279,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK6,X1)
    | ~ spl13_32 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f281,definition,
    ( spl13_33
  <=> ! [X2,X0] :
        ( ~ iext(uri_rdf_first,sK7,X0)
        | ~ iext(uri_owl_oneOf,X2,sK6)
        | icext(X2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_33])],[avatar_definition]) ).

fof(f282,plain,
    ( ! [X2,X0] :
        ( ~ iext(uri_rdf_first,sK7,X0)
        | ~ iext(uri_owl_oneOf,X2,sK6)
        | icext(X2,X0) )
    | ~ spl13_33 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f283,plain,
    ( spl13_32
    | spl13_33 ),
    inference(avatar_split_clause,[],[f276,f281,f278]) ).

fof(f284,plain,
    ( $false
    | ~ spl13_32 ),
    inference(resolution,[],[f279,f70]) ).

fof(f285,plain,
    ~ spl13_32,
    inference(avatar_contradiction_clause,[],[f284]) ).

fof(f288,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_oneOf,X0,sK6)
        | icext(X0,uri_ex_w3) )
    | ~ spl13_33 ),
    inference(resolution,[],[f282,f68]) ).

fof(f289,plain,
    ( icext(uri_ex_c2,uri_ex_w3)
    | ~ spl13_33 ),
    inference(resolution,[],[f288,f71]) ).

fof(f292,definition,
    ( spl13_34
  <=> ! [X1] : ~ iext(uri_rdf_first,sK9,X1) ),
    introduced(definition,[new_symbols(definition,[spl13_34])],[avatar_definition]) ).

fof(f293,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK9,X1)
    | ~ spl13_34 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f298,plain,
    ( $false
    | ~ spl13_34 ),
    inference(resolution,[],[f293,f63]) ).

fof(f299,plain,
    ~ spl13_34,
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f308,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,sK11,X0)
      | ~ iext(uri_rdf_first,sK11,X2)
      | ~ icext(X1,X3)
      | icext(uri_ex_c4,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f24,f59]) ).

fof(f310,definition,
    ( spl13_37
  <=> ! [X0,X1,X3] :
        ( ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(uri_ex_c4,X3)
        | ~ icext(X1,X3)
        | ~ iext(uri_rdf_rest,sK11,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_37])],[avatar_definition]) ).

fof(f311,plain,
    ( ! [X3,X0,X1] :
        ( ~ iext(uri_rdf_rest,sK11,X0)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(uri_ex_c4,X3)
        | ~ icext(X1,X3)
        | ~ iext(uri_rdf_first,X0,X1) )
    | ~ spl13_37 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f312,plain,
    ( spl13_9
    | spl13_37 ),
    inference(avatar_split_clause,[],[f308,f310,f140]) ).

fof(f313,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,sK12,uri_rdf_nil)
        | icext(uri_ex_c4,X0)
        | ~ icext(X1,X0)
        | ~ iext(uri_rdf_first,sK12,X1) )
    | ~ spl13_37 ),
    inference(resolution,[],[f311,f57]) ).

fof(f314,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK12,X1)
        | ~ icext(X1,X0)
        | icext(uri_ex_c4,X0) )
    | ~ spl13_37 ),
    inference(forward_subsumption_resolution,[],[f313,f55]) ).

fof(f315,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_c2,X0)
        | icext(uri_ex_c4,X0) )
    | ~ spl13_37 ),
    inference(resolution,[],[f314,f56]) ).

fof(f316,plain,
    ( icext(uri_ex_c4,uri_ex_w2)
    | ~ spl13_28
    | ~ spl13_37 ),
    inference(resolution,[],[f315,f258]) ).

fof(f317,plain,
    ( icext(uri_ex_c4,uri_ex_w3)
    | ~ spl13_33
    | ~ spl13_37 ),
    inference(resolution,[],[f315,f289]) ).

fof(f676,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,sK11,X0)
      | ~ iext(uri_rdf_first,sK11,X2)
      | ~ icext(X2,X3)
      | icext(uri_ex_c4,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f25,f59]) ).

fof(f678,definition,
    ( spl13_73
  <=> ! [X2,X3] :
        ( ~ iext(uri_rdf_first,sK11,X2)
        | icext(uri_ex_c4,X3)
        | ~ icext(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl13_73])],[avatar_definition]) ).

fof(f679,plain,
    ( ! [X2,X3] :
        ( ~ iext(uri_rdf_first,sK11,X2)
        | icext(uri_ex_c4,X3)
        | ~ icext(X2,X3) )
    | ~ spl13_73 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,definition,
    ( spl13_74
  <=> ! [X0,X1] :
        ( ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,sK11,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_74])],[avatar_definition]) ).

fof(f682,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,sK11,X0)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X0,X1) )
    | ~ spl13_74 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f683,plain,
    ( spl13_73
    | spl13_74 ),
    inference(avatar_split_clause,[],[f676,f681,f678]) ).

fof(f763,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_rest,sK11,X0)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_first,sK11,X2)
      | icext(X1,X3)
      | icext(X2,X3)
      | ~ icext(uri_ex_c4,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f23,f59]) ).

fof(f764,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_c1,X0)
        | icext(uri_ex_c4,X0) )
    | ~ spl13_73 ),
    inference(resolution,[],[f679,f58]) ).

fof(f985,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_rest,sK4,X0)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_first,sK4,X2)
      | X1 = X3
      | X2 = X3
      | ~ icext(uri_ex_c1,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f32,f76]) ).

fof(f986,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_rest,sK6,X0)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_first,sK6,X2)
      | X1 = X3
      | X2 = X3
      | ~ icext(uri_ex_c2,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f32,f71]) ).

fof(f1163,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_rest,sK12,uri_rdf_nil)
        | ~ iext(uri_rdf_first,sK12,X0) )
    | ~ spl13_74 ),
    inference(resolution,[],[f682,f57]) ).

fof(f1164,plain,
    ( ! [X0] : ~ iext(uri_rdf_first,sK12,X0)
    | ~ spl13_74 ),
    inference(forward_subsumption_resolution,[],[f1163,f55]) ).

fof(f1165,plain,
    ( $false
    | ~ spl13_74 ),
    inference(resolution,[],[f1164,f56]) ).

fof(f1166,plain,
    ~ spl13_74,
    inference(avatar_contradiction_clause,[],[f1165]) ).

fof(f1168,plain,
    ( icext(uri_ex_c4,uri_ex_w1)
    | ~ spl13_29
    | ~ spl13_73 ),
    inference(resolution,[],[f764,f261]) ).

fof(f1279,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,sK8,X2)
      | ~ iext(uri_rdf_first,sK8,X4)
      | icext(uri_ex_c3,X4)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f79,f66]) ).

fof(f1297,definition,
    ( spl13_116
  <=> ! [X4] :
        ( ~ iext(uri_rdf_first,sK8,X4)
        | icext(uri_ex_c3,X4) ) ),
    introduced(definition,[new_symbols(definition,[spl13_116])],[avatar_definition]) ).

fof(f1298,plain,
    ( ! [X4] :
        ( ~ iext(uri_rdf_first,sK8,X4)
        | icext(uri_ex_c3,X4) )
    | ~ spl13_116 ),
    inference(avatar_component_clause,[],[f1297]) ).

fof(f1300,definition,
    ( spl13_117
  <=> ! [X0,X3,X2,X1] :
        ( ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,sK8,X2)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_rdf_rest,X2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_117])],[avatar_definition]) ).

fof(f1301,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_rest,sK8,X2)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_rdf_rest,X2,X0) )
    | ~ spl13_117 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f1302,plain,
    ( spl13_116
    | spl13_117 ),
    inference(avatar_split_clause,[],[f1279,f1300,f1297]) ).

fof(f1369,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_first,sK9,X2)
        | ~ iext(uri_rdf_rest,sK9,X0) )
    | ~ spl13_117 ),
    inference(resolution,[],[f1301,f64]) ).

fof(f1371,definition,
    ( spl13_130
  <=> ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,sK9,X0)
        | ~ iext(uri_rdf_first,X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl13_130])],[avatar_definition]) ).

fof(f1372,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,sK9,X0)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X0,X1) )
    | ~ spl13_130 ),
    inference(avatar_component_clause,[],[f1371]) ).

fof(f1373,plain,
    ( spl13_34
    | spl13_130
    | ~ spl13_117 ),
    inference(avatar_split_clause,[],[f1369,f1300,f1371,f292]) ).

fof(f1374,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_rest,sK10,uri_rdf_nil)
        | ~ iext(uri_rdf_first,sK10,X0) )
    | ~ spl13_130 ),
    inference(resolution,[],[f1372,f62]) ).

fof(f1375,plain,
    ( ! [X0] : ~ iext(uri_rdf_first,sK10,X0)
    | ~ spl13_130 ),
    inference(forward_subsumption_resolution,[],[f1374,f60]) ).

fof(f1376,plain,
    ( $false
    | ~ spl13_130 ),
    inference(resolution,[],[f1375,f61]) ).

fof(f1377,plain,
    ~ spl13_130,
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1379,plain,
    ( icext(uri_ex_c3,uri_ex_w1)
    | ~ spl13_116 ),
    inference(resolution,[],[f1298,f65]) ).

fof(f1380,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,sK8,X2)
      | ~ iext(uri_rdf_first,sK8,X4)
      | icext(uri_ex_c3,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f80,f66]) ).

fof(f1384,definition,
    ( spl13_131
  <=> ! [X4] : ~ iext(uri_rdf_first,sK8,X4) ),
    introduced(definition,[new_symbols(definition,[spl13_131])],[avatar_definition]) ).

fof(f1385,plain,
    ( ! [X4] : ~ iext(uri_rdf_first,sK8,X4)
    | ~ spl13_131 ),
    inference(avatar_component_clause,[],[f1384]) ).

fof(f1387,definition,
    ( spl13_132
  <=> ! [X0,X3,X2,X1] :
        ( ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(uri_ex_c3,X3)
        | ~ iext(uri_rdf_rest,sK8,X2)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_rdf_rest,X2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_132])],[avatar_definition]) ).

fof(f1388,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_rest,sK8,X2)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(uri_ex_c3,X3)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_rdf_rest,X2,X0) )
    | ~ spl13_132 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f1389,plain,
    ( spl13_131
    | spl13_132 ),
    inference(avatar_split_clause,[],[f1380,f1387,f1384]) ).

fof(f1392,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(uri_ex_c3,X1)
        | ~ iext(uri_rdf_first,X0,X2)
        | ~ iext(uri_rdf_first,sK9,X1)
        | ~ iext(uri_rdf_rest,sK9,X0) )
    | ~ spl13_132 ),
    inference(resolution,[],[f1388,f64]) ).

fof(f1394,definition,
    ( spl13_133
  <=> ! [X1] :
        ( icext(uri_ex_c3,X1)
        | ~ iext(uri_rdf_first,sK9,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl13_133])],[avatar_definition]) ).

fof(f1395,plain,
    ( ! [X1] :
        ( ~ iext(uri_rdf_first,sK9,X1)
        | icext(uri_ex_c3,X1) )
    | ~ spl13_133 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f1397,plain,
    ( icext(uri_ex_c3,uri_ex_w2)
    | ~ spl13_133 ),
    inference(resolution,[],[f1395,f63]) ).

fof(f1398,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK12,X0)
      | ~ iext(uri_rdf_first,sK11,X1)
      | icext(X0,X2)
      | icext(X1,X2)
      | ~ icext(uri_ex_c4,X2)
      | ~ iext(uri_rdf_rest,sK12,uri_rdf_nil) ),
    inference(resolution,[],[f763,f57]) ).

fof(f1399,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK12,X0)
      | ~ iext(uri_rdf_first,sK11,X1)
      | icext(X0,X2)
      | icext(X1,X2)
      | ~ icext(uri_ex_c4,X2) ),
    inference(forward_subsumption_resolution,[],[f1398,f55]) ).

fof(f1400,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK11,X0)
      | icext(uri_ex_c2,X1)
      | icext(X0,X1)
      | ~ icext(uri_ex_c4,X1) ),
    inference(resolution,[],[f1399,f56]) ).

fof(f1401,plain,
    ! [X0] :
      ( icext(uri_ex_c2,X0)
      | icext(uri_ex_c1,X0)
      | ~ icext(uri_ex_c4,X0) ),
    inference(resolution,[],[f1400,f58]) ).

fof(f1471,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK5,X0)
      | ~ iext(uri_rdf_first,sK4,X1)
      | X0 = X2
      | X1 = X2
      | ~ icext(uri_ex_c1,X2)
      | ~ iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
    inference(resolution,[],[f985,f74]) ).

fof(f1472,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK5,X0)
      | ~ iext(uri_rdf_first,sK4,X1)
      | X0 = X2
      | X1 = X2
      | ~ icext(uri_ex_c1,X2) ),
    inference(forward_subsumption_resolution,[],[f1471,f72]) ).

fof(f1473,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK4,X0)
      | uri_ex_w2 = X1
      | X0 = X1
      | ~ icext(uri_ex_c1,X1) ),
    inference(resolution,[],[f1472,f73]) ).

fof(f1474,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c1,X0)
      | uri_ex_w1 = X0
      | uri_ex_w2 = X0 ),
    inference(resolution,[],[f1473,f75]) ).

fof(f1558,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK7,X0)
      | ~ iext(uri_rdf_first,sK6,X1)
      | X0 = X2
      | X1 = X2
      | ~ icext(uri_ex_c2,X2)
      | ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
    inference(resolution,[],[f986,f69]) ).

fof(f1559,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK7,X0)
      | ~ iext(uri_rdf_first,sK6,X1)
      | X0 = X2
      | X1 = X2
      | ~ icext(uri_ex_c2,X2) ),
    inference(forward_subsumption_resolution,[],[f1558,f67]) ).

fof(f1560,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK6,X0)
      | uri_ex_w3 = X1
      | X0 = X1
      | ~ icext(uri_ex_c2,X1) ),
    inference(resolution,[],[f1559,f68]) ).

fof(f1561,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c2,X0)
      | uri_ex_w2 = X0
      | uri_ex_w3 = X0 ),
    inference(resolution,[],[f1560,f70]) ).

fof(f1562,plain,
    ! [X0] :
      ( icext(uri_ex_c1,X0)
      | uri_ex_w3 = X0
      | uri_ex_w2 = X0
      | ~ icext(uri_ex_c4,X0) ),
    inference(resolution,[],[f1561,f1401]) ).

fof(f1662,plain,
    ! [X0] :
      ( uri_ex_w3 = X0
      | uri_ex_w2 = X0
      | ~ icext(uri_ex_c4,X0)
      | uri_ex_w1 = X0
      | uri_ex_w2 = X0 ),
    inference(resolution,[],[f1562,f1474]) ).

fof(f1666,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c4,X0)
      | uri_ex_w2 = X0
      | uri_ex_w3 = X0
      | uri_ex_w1 = X0 ),
    inference(duplicate_literal_removal,[],[f1662]) ).

fof(f1738,plain,
    ! [X0] :
      ( uri_ex_w2 = sK3(X0,uri_ex_c4)
      | uri_ex_w3 = sK3(X0,uri_ex_c4)
      | uri_ex_w1 = sK3(X0,uri_ex_c4)
      | icext(X0,sK3(X0,uri_ex_c4))
      | ~ ic(uri_ex_c4)
      | ~ ic(X0)
      | iext(uri_owl_equivalentClass,X0,uri_ex_c4) ),
    inference(resolution,[],[f1666,f48]) ).

fof(f1747,plain,
    ! [X0] :
      ( ~ ic(X0)
      | uri_ex_w3 = sK3(X0,uri_ex_c4)
      | uri_ex_w1 = sK3(X0,uri_ex_c4)
      | icext(X0,sK3(X0,uri_ex_c4))
      | uri_ex_w2 = sK3(X0,uri_ex_c4)
      | iext(uri_owl_equivalentClass,X0,uri_ex_c4) ),
    inference(forward_subsumption_resolution,[],[f1738,f85]) ).

fof(f1988,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,sK8,X2)
      | ~ iext(uri_rdf_first,sK8,X4)
      | icext(uri_ex_c3,X1)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f81,f66]) ).

fof(f1992,definition,
    ( spl13_201
  <=> ! [X0,X3,X2,X1] :
        ( ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(uri_ex_c3,X1)
        | ~ iext(uri_rdf_rest,sK8,X2)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_rdf_rest,X2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_201])],[avatar_definition]) ).

fof(f1993,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_rest,sK8,X2)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(uri_ex_c3,X1)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_rdf_rest,X2,X0) )
    | ~ spl13_201 ),
    inference(avatar_component_clause,[],[f1992]) ).

fof(f1994,plain,
    ( spl13_131
    | spl13_201 ),
    inference(avatar_split_clause,[],[f1988,f1992,f1384]) ).

fof(f2013,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(uri_ex_c3,X1)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_first,sK9,X2)
        | ~ iext(uri_rdf_rest,sK9,X0) )
    | ~ spl13_201 ),
    inference(resolution,[],[f1993,f64]) ).

fof(f2015,definition,
    ( spl13_203
  <=> ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,sK9,X0)
        | ~ iext(uri_rdf_first,X0,X1)
        | icext(uri_ex_c3,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl13_203])],[avatar_definition]) ).

fof(f2016,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,sK9,X0)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X0,X1)
        | icext(uri_ex_c3,X1) )
    | ~ spl13_203 ),
    inference(avatar_component_clause,[],[f2015]) ).

fof(f2018,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_rest,sK10,uri_rdf_nil)
        | ~ iext(uri_rdf_first,sK10,X0)
        | icext(uri_ex_c3,X0) )
    | ~ spl13_203 ),
    inference(resolution,[],[f2016,f62]) ).

fof(f2019,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK10,X0)
        | icext(uri_ex_c3,X0) )
    | ~ spl13_203 ),
    inference(forward_subsumption_resolution,[],[f2018,f60]) ).

fof(f2020,plain,
    ( icext(uri_ex_c3,uri_ex_w3)
    | ~ spl13_203 ),
    inference(resolution,[],[f2019,f61]) ).

fof(f2110,plain,
    ( uri_ex_w3 = sK3(uri_ex_c3,uri_ex_c4)
    | uri_ex_w1 = sK3(uri_ex_c3,uri_ex_c4)
    | icext(uri_ex_c3,sK3(uri_ex_c3,uri_ex_c4))
    | uri_ex_w2 = sK3(uri_ex_c3,uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) ),
    inference(resolution,[],[f1747,f82]) ).

fof(f2158,plain,
    ( uri_ex_w3 = sK3(uri_ex_c3,uri_ex_c4)
    | uri_ex_w1 = sK3(uri_ex_c3,uri_ex_c4)
    | icext(uri_ex_c3,sK3(uri_ex_c3,uri_ex_c4))
    | uri_ex_w2 = sK3(uri_ex_c3,uri_ex_c4) ),
    inference(forward_subsumption_resolution,[],[f2110,f54]) ).

fof(f2160,definition,
    ( spl13_217
  <=> uri_ex_w2 = sK3(uri_ex_c3,uri_ex_c4) ),
    introduced(definition,[new_symbols(definition,[spl13_217])],[avatar_definition]) ).

fof(f2161,plain,
    ( uri_ex_w2 != sK3(uri_ex_c3,uri_ex_c4)
    | spl13_217 ),
    inference(avatar_component_clause,[],[f2160]) ).

fof(f2162,plain,
    ( uri_ex_w2 = sK3(uri_ex_c3,uri_ex_c4)
    | ~ spl13_217 ),
    inference(avatar_component_clause,[],[f2160]) ).

fof(f2164,definition,
    ( spl13_218
  <=> icext(uri_ex_c3,sK3(uri_ex_c3,uri_ex_c4)) ),
    introduced(definition,[new_symbols(definition,[spl13_218])],[avatar_definition]) ).

fof(f2166,plain,
    ( icext(uri_ex_c3,sK3(uri_ex_c3,uri_ex_c4))
    | ~ spl13_218 ),
    inference(avatar_component_clause,[],[f2164]) ).

fof(f2168,definition,
    ( spl13_219
  <=> uri_ex_w1 = sK3(uri_ex_c3,uri_ex_c4) ),
    introduced(definition,[new_symbols(definition,[spl13_219])],[avatar_definition]) ).

fof(f2169,plain,
    ( uri_ex_w1 != sK3(uri_ex_c3,uri_ex_c4)
    | spl13_219 ),
    inference(avatar_component_clause,[],[f2168]) ).

fof(f2170,plain,
    ( uri_ex_w1 = sK3(uri_ex_c3,uri_ex_c4)
    | ~ spl13_219 ),
    inference(avatar_component_clause,[],[f2168]) ).

fof(f2172,definition,
    ( spl13_220
  <=> uri_ex_w3 = sK3(uri_ex_c3,uri_ex_c4) ),
    introduced(definition,[new_symbols(definition,[spl13_220])],[avatar_definition]) ).

fof(f2173,plain,
    ( uri_ex_w3 != sK3(uri_ex_c3,uri_ex_c4)
    | spl13_220 ),
    inference(avatar_component_clause,[],[f2172]) ).

fof(f2174,plain,
    ( uri_ex_w3 = sK3(uri_ex_c3,uri_ex_c4)
    | ~ spl13_220 ),
    inference(avatar_component_clause,[],[f2172]) ).

fof(f2175,plain,
    ( spl13_217
    | spl13_218
    | spl13_219
    | spl13_220 ),
    inference(avatar_split_clause,[],[f2158,f2172,f2168,f2164,f2160]) ).

fof(f2176,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w3)
    | ~ icext(uri_ex_c3,uri_ex_w3)
    | ~ ic(uri_ex_c4)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_220 ),
    inference(superposition,[],[f49,f2174]) ).

fof(f2179,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w3)
    | ~ ic(uri_ex_c4)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_33
    | ~ spl13_37
    | ~ spl13_220 ),
    inference(forward_subsumption_resolution,[],[f2176,f317]) ).

fof(f2180,plain,
    ( ~ ic(uri_ex_c4)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_33
    | ~ spl13_37
    | ~ spl13_203
    | ~ spl13_220 ),
    inference(forward_subsumption_resolution,[],[f2179,f2020]) ).

fof(f2181,plain,
    ( ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_33
    | ~ spl13_37
    | ~ spl13_203
    | ~ spl13_220 ),
    inference(forward_subsumption_resolution,[],[f2180,f85]) ).

fof(f2182,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_33
    | ~ spl13_37
    | ~ spl13_203
    | ~ spl13_220 ),
    inference(forward_subsumption_resolution,[],[f2181,f82]) ).

fof(f2183,plain,
    ( $false
    | ~ spl13_33
    | ~ spl13_37
    | ~ spl13_203
    | ~ spl13_220 ),
    inference(forward_subsumption_resolution,[],[f2182,f54]) ).

fof(f2184,plain,
    ( ~ spl13_33
    | ~ spl13_37
    | ~ spl13_203
    | ~ spl13_220 ),
    inference(avatar_contradiction_clause,[],[f2183]) ).

fof(f2185,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w1)
    | ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ ic(uri_ex_c4)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_219 ),
    inference(superposition,[],[f49,f2170]) ).

fof(f2188,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ ic(uri_ex_c4)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_29
    | ~ spl13_73
    | ~ spl13_219 ),
    inference(forward_subsumption_resolution,[],[f2185,f1168]) ).

fof(f2189,plain,
    ( ~ ic(uri_ex_c4)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_29
    | ~ spl13_73
    | ~ spl13_116
    | ~ spl13_219 ),
    inference(forward_subsumption_resolution,[],[f2188,f1379]) ).

fof(f2190,plain,
    ( ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_29
    | ~ spl13_73
    | ~ spl13_116
    | ~ spl13_219 ),
    inference(forward_subsumption_resolution,[],[f2189,f85]) ).

fof(f2191,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_29
    | ~ spl13_73
    | ~ spl13_116
    | ~ spl13_219 ),
    inference(forward_subsumption_resolution,[],[f2190,f82]) ).

fof(f2192,plain,
    ( $false
    | ~ spl13_29
    | ~ spl13_73
    | ~ spl13_116
    | ~ spl13_219 ),
    inference(forward_subsumption_resolution,[],[f2191,f54]) ).

fof(f2193,plain,
    ( ~ spl13_29
    | ~ spl13_73
    | ~ spl13_116
    | ~ spl13_219 ),
    inference(avatar_contradiction_clause,[],[f2192]) ).

fof(f2446,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w2)
    | ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ ic(uri_ex_c4)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_217 ),
    inference(superposition,[],[f49,f2162]) ).

fof(f2449,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ ic(uri_ex_c4)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_28
    | ~ spl13_37
    | ~ spl13_217 ),
    inference(forward_subsumption_resolution,[],[f2446,f316]) ).

fof(f2450,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ ic(uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_28
    | ~ spl13_37
    | ~ spl13_217 ),
    inference(forward_subsumption_resolution,[],[f2449,f85]) ).

fof(f2451,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w2)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ spl13_28
    | ~ spl13_37
    | ~ spl13_217 ),
    inference(forward_subsumption_resolution,[],[f2450,f82]) ).

fof(f2452,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ spl13_28
    | ~ spl13_37
    | ~ spl13_217 ),
    inference(forward_subsumption_resolution,[],[f2451,f54]) ).

fof(f2507,plain,
    ( $false
    | ~ spl13_131 ),
    inference(resolution,[],[f1385,f65]) ).

fof(f2508,plain,
    ~ spl13_131,
    inference(avatar_contradiction_clause,[],[f2507]) ).

fof(f2509,plain,
    ( spl13_133
    | spl13_130
    | ~ spl13_132 ),
    inference(avatar_split_clause,[],[f1392,f1387,f1371,f1394]) ).

fof(f2510,plain,
    ( $false
    | ~ spl13_28
    | ~ spl13_37
    | ~ spl13_133
    | ~ spl13_217 ),
    inference(forward_subsumption_resolution,[],[f1397,f2452]) ).

fof(f2511,plain,
    ( ~ spl13_28
    | ~ spl13_37
    | ~ spl13_133
    | ~ spl13_217 ),
    inference(avatar_contradiction_clause,[],[f2510]) ).

fof(f2512,plain,
    ( spl13_34
    | spl13_203
    | ~ spl13_201 ),
    inference(avatar_split_clause,[],[f2013,f1992,f2015,f292]) ).

fof(f2645,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,sK8,X2)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_first,sK8,X4)
      | X1 = X5
      | X3 = X5
      | X4 = X5
      | ~ icext(uri_ex_c3,X5)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f39,f66]) ).

fof(f4544,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,sK9,X0)
      | ~ iext(uri_rdf_first,sK9,X1)
      | ~ iext(uri_rdf_first,X0,X2)
      | ~ iext(uri_rdf_first,sK8,X3)
      | X2 = X4
      | X1 = X4
      | X3 = X4
      | ~ icext(uri_ex_c3,X4)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f2645,f64]) ).

fof(f4697,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK9,X0)
      | ~ iext(uri_rdf_first,sK10,X1)
      | ~ iext(uri_rdf_first,sK8,X2)
      | X1 = X3
      | X0 = X3
      | X2 = X3
      | ~ icext(uri_ex_c3,X3)
      | ~ iext(uri_rdf_rest,sK10,uri_rdf_nil) ),
    inference(resolution,[],[f4544,f62]) ).

fof(f4698,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK10,X1)
      | ~ iext(uri_rdf_first,sK9,X0)
      | ~ iext(uri_rdf_first,sK8,X2)
      | X1 = X3
      | X0 = X3
      | X2 = X3
      | ~ icext(uri_ex_c3,X3) ),
    inference(forward_subsumption_resolution,[],[f4697,f60]) ).

fof(f4699,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK9,X0)
      | ~ iext(uri_rdf_first,sK8,X1)
      | uri_ex_w3 = X2
      | X0 = X2
      | X1 = X2
      | ~ icext(uri_ex_c3,X2) ),
    inference(resolution,[],[f4698,f61]) ).

fof(f4700,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK8,X0)
      | uri_ex_w3 = X1
      | uri_ex_w2 = X1
      | X0 = X1
      | ~ icext(uri_ex_c3,X1) ),
    inference(resolution,[],[f4699,f63]) ).

fof(f4701,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c3,X0)
      | uri_ex_w2 = X0
      | uri_ex_w1 = X0
      | uri_ex_w3 = X0 ),
    inference(resolution,[],[f4700,f65]) ).

fof(f4706,plain,
    ( uri_ex_w2 = sK3(uri_ex_c3,uri_ex_c4)
    | uri_ex_w1 = sK3(uri_ex_c3,uri_ex_c4)
    | uri_ex_w3 = sK3(uri_ex_c3,uri_ex_c4)
    | ~ spl13_218 ),
    inference(resolution,[],[f4701,f2166]) ).

fof(f4755,plain,
    ( uri_ex_w1 = sK3(uri_ex_c3,uri_ex_c4)
    | uri_ex_w3 = sK3(uri_ex_c3,uri_ex_c4)
    | spl13_217
    | ~ spl13_218 ),
    inference(forward_subsumption_resolution,[],[f4706,f2161]) ).

fof(f4787,plain,
    ( uri_ex_w3 = sK3(uri_ex_c3,uri_ex_c4)
    | spl13_217
    | ~ spl13_218
    | spl13_219 ),
    inference(forward_subsumption_resolution,[],[f4755,f2169]) ).

fof(f4798,plain,
    ( $false
    | spl13_217
    | ~ spl13_218
    | spl13_219
    | spl13_220 ),
    inference(forward_subsumption_resolution,[],[f4787,f2173]) ).

fof(f4799,plain,
    ( spl13_217
    | ~ spl13_218
    | spl13_219
    | spl13_220 ),
    inference(avatar_contradiction_clause,[],[f4798]) ).

cnf(s6,plain,
    ~ spl13_9,
    inference(sat_conversion,[],[f147]) ).

cnf(s13,plain,
    ~ spl13_16,
    inference(sat_conversion,[],[f186]) ).

cnf(s14,plain,
    ~ spl13_18,
    inference(sat_conversion,[],[f188]) ).

cnf(s21,plain,
    ( spl13_16
    | spl13_28 ),
    inference(sat_conversion,[],[f240]) ).

cnf(s22,plain,
    ( spl13_18
    | spl13_29 ),
    inference(sat_conversion,[],[f244]) ).

cnf(s26,plain,
    ( spl13_32
    | spl13_33 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s27,plain,
    ~ spl13_32,
    inference(sat_conversion,[],[f285]) ).

cnf(s29,plain,
    ~ spl13_34,
    inference(sat_conversion,[],[f299]) ).

cnf(s31,plain,
    ( spl13_9
    | spl13_37 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s46,plain,
    ( spl13_73
    | spl13_74 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s71,plain,
    ~ spl13_74,
    inference(sat_conversion,[],[f1166]) ).

cnf(s83,plain,
    ( spl13_116
    | spl13_117 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s90,plain,
    ( spl13_34
    | ~ spl13_117
    | spl13_130 ),
    inference(sat_conversion,[],[f1373]) ).

cnf(s91,plain,
    ~ spl13_130,
    inference(sat_conversion,[],[f1377]) ).

cnf(s92,plain,
    ( spl13_131
    | spl13_132 ),
    inference(sat_conversion,[],[f1389]) ).

cnf(s132,plain,
    ( spl13_131
    | spl13_201 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s144,plain,
    ( spl13_217
    | spl13_218
    | spl13_219
    | spl13_220 ),
    inference(sat_conversion,[],[f2175]) ).

cnf(s145,plain,
    ( ~ spl13_33
    | ~ spl13_37
    | ~ spl13_203
    | ~ spl13_220 ),
    inference(sat_conversion,[],[f2184]) ).

cnf(s146,plain,
    ( ~ spl13_29
    | ~ spl13_73
    | ~ spl13_116
    | ~ spl13_219 ),
    inference(sat_conversion,[],[f2193]) ).

cnf(s217,plain,
    ~ spl13_131,
    inference(sat_conversion,[],[f2508]) ).

cnf(s218,plain,
    ( spl13_130
    | ~ spl13_132
    | spl13_133 ),
    inference(sat_conversion,[],[f2509]) ).

cnf(s219,plain,
    ( ~ spl13_28
    | ~ spl13_37
    | ~ spl13_133
    | ~ spl13_217 ),
    inference(sat_conversion,[],[f2511]) ).

cnf(s220,plain,
    ( spl13_34
    | ~ spl13_201
    | spl13_203 ),
    inference(sat_conversion,[],[f2512]) ).

cnf(s453,plain,
    ( spl13_217
    | ~ spl13_218
    | spl13_219
    | spl13_220 ),
    inference(sat_conversion,[],[f4799]) ).

cnf(s456,plain,
    spl13_201,
    inference(rat,[],[s132,s217]) ).

cnf(s457,plain,
    spl13_132,
    inference(rat,[],[s92,s217]) ).

cnf(s458,plain,
    spl13_133,
    inference(rat,[],[s218,s457,s91]) ).

cnf(s459,plain,
    ( spl13_34
    | ~ spl13_117 ),
    inference(rat,[],[s90,s91]) ).

cnf(s460,plain,
    spl13_73,
    inference(rat,[],[s46,s71]) ).

cnf(s461,plain,
    spl13_203,
    inference(rat,[],[s220,s456,s29]) ).

cnf(s462,plain,
    ~ spl13_117,
    inference(rat,[],[s459,s29]) ).

cnf(s464,plain,
    spl13_116,
    inference(rat,[],[s83,s462]) ).

cnf(s468,plain,
    spl13_33,
    inference(rat,[],[s26,s27]) ).

cnf(s473,plain,
    spl13_29,
    inference(rat,[],[s22,s14]) ).

cnf(s474,plain,
    ~ spl13_219,
    inference(rat,[],[s146,s464,s460,s473]) ).

cnf(s475,plain,
    spl13_28,
    inference(rat,[],[s21,s13]) ).

cnf(s482,plain,
    spl13_37,
    inference(rat,[],[s31,s6]) ).

cnf(s484,plain,
    ~ spl13_217,
    inference(rat,[],[s219,s475,s458,s482]) ).

cnf(s485,plain,
    ~ spl13_220,
    inference(rat,[],[s145,s468,s461,s482]) ).

cnf(s486,plain,
    ~ spl13_218,
    inference(rat,[],[s453,s485,s474,s484]) ).

cnf(s487,plain,
    $false,
    inference(rat,[],[s144,s485,s474,s486,s484]) ).

fof(f4801,plain,
    $false,
    inference(avatar_sat_refutation,[],[s487]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB021+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36  % Computer : n013.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 28 07:03:51 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.39  Running first-order model finding
% 0.15/0.39  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.61/0.63  % (991495)Will run a generic schedule for satisfiability detection.
% 1.61/0.63  % (991507)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2442500024:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.61/0.63  % (991503)% WARNING: option uhcvi not known.
% 1.61/0.63  % (991503)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4162335040:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.61/0.63  % (991502)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2812885490_2999 on theBenchmark for (2999ds/0Mi)
% 1.61/0.63  % (991505)dis+10_1_sil=32000:sp=arity:random_seed=2452520769:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.61/0.63  % (991506)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1424340031:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.61/0.63  % (991504)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=763854481:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.61/0.63  % (991508)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3028528806:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.61/0.63  % TRYING [1]
% 1.61/0.63  % TRYING [2]
% 1.61/0.63  % TRYING [3]
% 1.61/0.63  % (991507)Instruction limit reached! 
% 1.61/0.63  % (991507)------------------------------
% 1.61/0.63  % (991507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.63  % (991507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.63  % (991507)CaDiCaL version: 2.1.3
% 1.61/0.63  % (991507)Termination reason: Instruction limit
% 1.61/0.63  % (991507)Termination phase: Saturation
% 1.61/0.63  % (991507)Time elapsed: 0.043 s
% 1.61/0.63  % (991507)Peak memory usage: 13 MB
% 1.61/0.63  % (991507)Instructions burned: 132 (million)
% 1.61/0.63  % (991539)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1760208267:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.61/0.63  % TRYING [1]
% 1.61/0.63  % TRYING [2]
% 1.61/0.63  % (991506)Instruction limit reached! 
% 1.61/0.63  % (991506)------------------------------
% 1.61/0.63  % (991506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.63  % (991506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.63  % (991506)CaDiCaL version: 2.1.3
% 1.61/0.63  % (991506)Termination reason: Instruction limit
% 1.61/0.63  % (991506)Termination phase: Saturation
% 1.61/0.63  % (991506)Time elapsed: 0.055 s
% 1.61/0.63  % (991506)Peak memory usage: 12 MB
% 1.61/0.63  % (991506)Instructions burned: 117 (million)
% 1.61/0.63  % TRYING [3]
% 1.61/0.63  % (991505)Instruction limit reached! 
% 1.61/0.63  % (991505)------------------------------
% 1.61/0.63  % (991505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.63  % (991505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.63  % (991505)CaDiCaL version: 2.1.3
% 1.61/0.63  % (991505)Termination reason: Instruction limit
% 1.61/0.63  % (991505)Termination phase: Saturation
% 1.61/0.63  % (991505)Time elapsed: 0.064 s
% 1.61/0.63  % (991505)Peak memory usage: 12 MB
% 1.61/0.63  % (991505)Instructions burned: 103 (million)
% 1.61/0.63  % (991552)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3562985975:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.61/0.63  % (991556)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4223963065:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.61/0.64  % (991508)Instruction limit reached! 
% 1.61/0.64  % (991508)------------------------------
% 1.61/0.64  % (991508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.64  % (991508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.64  % (991508)CaDiCaL version: 2.1.3
% 1.61/0.64  % (991508)Termination reason: Instruction limit
% 1.61/0.64  % (991508)Termination phase: Saturation
% 1.61/0.64  % (991508)Time elapsed: 0.096 s
% 1.61/0.64  % (991508)Peak memory usage: 12 MB
% 1.61/0.64  % (991508)Instructions burned: 160 (million)
% 1.61/0.64  % (991573)ott-21_1_sil=16000:fs=off:random_seed=964909224:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.61/0.64  % (991552)Instruction limit reached! 
% 1.61/0.64  % (991552)------------------------------
% 1.61/0.64  % (991552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.64  % (991552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.64  % (991552)CaDiCaL version: 2.1.3
% 1.61/0.64  % (991552)Termination reason: Instruction limit
% 1.61/0.64  % (991552)Termination phase: Saturation
% 1.61/0.64  % (991552)Time elapsed: 0.079 s
% 1.61/0.64  % (991552)Peak memory usage: 13 MB
% 1.61/0.64  % (991552)Instructions burned: 132 (million)
% 1.61/0.64  % (991596)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2779083368:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.61/0.64  % (991556) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-991495-991556"...
% 1.61/0.64  % (991556)...printing done.
% 1.61/0.64  % (991556)Refutation found. Thanks to Tanya!
% 1.61/0.64  % SZS status Theorem for theBenchmark
% 1.61/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.64  % (991556)------------------------------
% 1.61/0.64  % (991556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.64  % (991556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.64  % (991556)CaDiCaL version: 2.1.3
% 1.61/0.64  % (991556)Termination reason: Refutation
% 1.61/0.64  % (991556)Time elapsed: 0.124 s
% 1.61/0.64  % (991556)Peak memory usage: 14 MB
% 1.61/0.64  % (991556)Instructions burned: 187 (million)
% 1.61/0.64  % (991495)Success in time 0.232 s
% 1.61/0.64  % Vampire exiting
%------------------------------------------------------------------------------