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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB091+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 01:00:24 PM UTC 2026

% Result   : Theorem 6.05s 2.04s
% Output   : Refutation 8.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  118 (  26 unt;   5 def)
%            Number of atoms       :  473 (  81 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  573 ( 218   ~; 250   |;  83   &)
%                                         (  17 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  22 con; 0-3 aty)
%            Number of variables   :  201 (   0 sgn 190   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f59,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_rdfs_range,X0,X1)
        & iext(X0,X2,X3) )
     => icext(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_main) ).

fof(f278,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f296,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(f325,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_onClass,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4,X5] :
              ( ( iext(X1,X3,X4)
                & icext(X2,X4)
                & iext(X1,X3,X5)
                & icext(X2,X5) )
             => X5 = X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_001) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_maxqcr_inst_subj_one) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdfs_range,uri_ex_p,X3)
      & iext(uri_owl_maxQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
      & iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
      & iext(uri_rdf_first,X0,uri_ex_x1)
      & iext(uri_rdf_rest,X0,X2)
      & iext(uri_owl_oneOf,X3,X0)
      & iext(uri_rdf_type,uri_ex_x1,uri_ex_c)
      & iext(uri_owl_complementOf,X1,uri_ex_c)
      & iext(uri_rdf_first,X2,uri_ex_x2)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_ex_p,uri_ex_w,uri_ex_x2)
      & iext(uri_rdf_type,uri_ex_x2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_maxqcr_inst_subj_one) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(flattening,[],[f560]) ).

fof(f570,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X3)
      | ~ iext(uri_rdfs_range,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f571,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X3)
      | ~ iext(uri_rdfs_range,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(flattening,[],[f570]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f278]) ).

fof(f583,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,[],[f296]) ).

fof(f584,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,[],[f583]) ).

fof(f595,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4,X5] :
              ( X5 = X4
              | ~ iext(X1,X3,X4)
              | ~ icext(X2,X4)
              | ~ iext(X1,X3,X5)
              | ~ icext(X2,X5) ) )
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(ennf_transformation,[],[f325]) ).

fof(f596,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4,X5] :
              ( X5 = X4
              | ~ iext(X1,X3,X4)
              | ~ icext(X2,X4)
              | ~ iext(X1,X3,X5)
              | ~ icext(X2,X5) ) )
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(flattening,[],[f595]) ).

fof(f696,plain,
    ( iext(uri_rdfs_range,uri_ex_p,sK10)
    & iext(uri_owl_maxQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
    & iext(uri_rdf_first,sK7,uri_ex_x1)
    & iext(uri_rdf_rest,sK7,sK9)
    & iext(uri_owl_oneOf,sK10,sK7)
    & iext(uri_rdf_type,uri_ex_x1,uri_ex_c)
    & iext(uri_owl_complementOf,sK8,uri_ex_c)
    & iext(uri_rdf_first,sK9,uri_ex_x2)
    & iext(uri_rdf_rest,sK9,uri_rdf_nil)
    & iext(uri_ex_p,uri_ex_w,uri_ex_x2)
    & iext(uri_rdf_type,uri_ex_x2,sK8) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9),skolemize(X3,sK10)],[f561]) ).

fof(f697,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f702,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X1,X2)
              | ~ icext(X0,X2) ) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f572]) ).

fof(f707,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X5] :
              ( ( ( X2 != X5
                  & X4 != X5 )
                | ~ icext(X0,X5) )
              & ( X5 = X2
                | X5 = X4
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ! [X5] :
                ( ( icext(X0,X5)
                  | ( X2 != X5
                    & X4 != X5 ) )
                & ( X5 = X2
                  | X5 = X4
                  | ~ icext(X0,X5) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(nnf_transformation,[],[f584]) ).

fof(f708,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X5] :
              ( ( ( X2 != X5
                  & X4 != X5 )
                | ~ icext(X0,X5) )
              & ( X5 = X2
                | X5 = X4
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ! [X5] :
                ( ( icext(X0,X5)
                  | ( X2 != X5
                    & X4 != X5 ) )
                & ( X5 = X2
                  | X5 = X4
                  | ~ icext(X0,X5) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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,[],[f707]) ).

fof(f709,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X5] :
              ( ( ( X2 != X5
                  & X4 != X5 )
                | ~ icext(X0,X5) )
              & ( X5 = X2
                | X5 = X4
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ! [X6] :
                ( ( icext(X0,X6)
                  | ( X2 != X6
                    & X4 != X6 ) )
                & ( X2 = X6
                  | X4 = X6
                  | ~ icext(X0,X6) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(rectify,[],[f708]) ).

fof(f710,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ( ( ( sK14(X0,X2,X4) != X2
                & sK14(X0,X2,X4) != X4 )
              | ~ icext(X0,sK14(X0,X2,X4)) )
            & ( sK14(X0,X2,X4) = X2
              | sK14(X0,X2,X4) = X4
              | icext(X0,sK14(X0,X2,X4)) ) ) )
        & ( ( ic(X0)
            & ! [X6] :
                ( ( icext(X0,X6)
                  | ( X2 != X6
                    & X4 != X6 ) )
                & ( X2 = X6
                  | X4 = X6
                  | ~ icext(X0,X6) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X5,sK14(X0,X2,X4))],[f709]) ).

fof(f728,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ? [X4,X5] :
                ( X4 != X5
                & iext(X1,X3,X4)
                & icext(X2,X4)
                & iext(X1,X3,X5)
                & icext(X2,X5) ) )
          & ( ! [X4,X5] :
                ( X5 = X4
                | ~ iext(X1,X3,X4)
                | ~ icext(X2,X4)
                | ~ iext(X1,X3,X5)
                | ~ icext(X2,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(nnf_transformation,[],[f596]) ).

fof(f729,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ? [X4,X5] :
                ( X4 != X5
                & iext(X1,X3,X4)
                & icext(X2,X4)
                & iext(X1,X3,X5)
                & icext(X2,X5) ) )
          & ( ! [X6,X7] :
                ( X6 = X7
                | ~ iext(X1,X3,X6)
                | ~ icext(X2,X6)
                | ~ iext(X1,X3,X7)
                | ~ icext(X2,X7) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(rectify,[],[f728]) ).

fof(f730,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ( sK20(X1,X2,X3) != sK21(X1,X2,X3)
              & iext(X1,X3,sK20(X1,X2,X3))
              & icext(X2,sK20(X1,X2,X3))
              & iext(X1,X3,sK21(X1,X2,X3))
              & icext(X2,sK21(X1,X2,X3)) ) )
          & ( ! [X6,X7] :
                ( X6 = X7
                | ~ iext(X1,X3,X6)
                | ~ icext(X2,X6)
                | ~ iext(X1,X3,X7)
                | ~ icext(X2,X7) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X4,sK20(X1,X2,X3)),skolemize(X5,sK21(X1,X2,X3))],[f729]) ).

fof(f841,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[],[f562]) ).

fof(f842,plain,
    iext(uri_rdf_type,uri_ex_x2,sK8),
    inference(cnf_transformation,[],[f696]) ).

fof(f844,plain,
    iext(uri_rdf_rest,sK9,uri_rdf_nil),
    inference(cnf_transformation,[],[f696]) ).

fof(f845,plain,
    iext(uri_rdf_first,sK9,uri_ex_x2),
    inference(cnf_transformation,[],[f696]) ).

fof(f846,plain,
    iext(uri_owl_complementOf,sK8,uri_ex_c),
    inference(cnf_transformation,[],[f696]) ).

fof(f848,plain,
    iext(uri_owl_oneOf,sK10,sK7),
    inference(cnf_transformation,[],[f696]) ).

fof(f849,plain,
    iext(uri_rdf_rest,sK7,sK9),
    inference(cnf_transformation,[],[f696]) ).

fof(f850,plain,
    iext(uri_rdf_first,sK7,uri_ex_x1),
    inference(cnf_transformation,[],[f696]) ).

fof(f851,plain,
    iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
    inference(cnf_transformation,[],[f696]) ).

fof(f852,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f696]) ).

fof(f853,plain,
    iext(uri_owl_maxQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f696]) ).

fof(f854,plain,
    iext(uri_rdfs_range,uri_ex_p,sK10),
    inference(cnf_transformation,[],[f696]) ).

fof(f855,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f697]) ).

fof(f856,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f697]) ).

fof(f862,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | icext(X1,X3)
      | ~ iext(X0,X2,X3) ),
    inference(cnf_transformation,[],[f571]) ).

fof(f864,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f702]) ).

fof(f887,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | X4 = X6
      | ~ icext(X0,X6)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | X2 = X6 ),
    inference(cnf_transformation,[],[f710]) ).

fof(f919,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | icext(X2,sK21(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f730]) ).

fof(f920,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | iext(X1,X3,sK21(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f730]) ).

fof(f921,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | icext(X2,sK20(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f730]) ).

fof(f922,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | iext(X1,X3,sK20(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f730]) ).

fof(f923,plain,
    ! [X2,X3,X0,X1] :
      ( sK20(X1,X2,X3) != sK21(X1,X2,X3)
      | icext(X0,X3)
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f730]) ).

fof(f1287,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X1,X0)
      | icext(sK10,X0) ),
    inference(resolution,[],[f862,f854]) ).

fof(f1291,plain,
    icext(sK8,uri_ex_x2),
    inference(resolution,[],[f855,f842]) ).

fof(f1309,plain,
    ! [X0] :
      ( ~ icext(sK8,X0)
      | ~ icext(uri_ex_c,X0) ),
    inference(resolution,[],[f864,f846]) ).

fof(f1310,plain,
    ~ icext(uri_ex_c,uri_ex_x2),
    inference(resolution,[],[f1309,f1291]) ).

fof(f1311,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_onProperty,uri_ex_z,X0)
      | icext(uri_ex_z,X1)
      | iext(X0,X1,sK20(X0,X2,X1))
      | ~ iext(uri_owl_onClass,uri_ex_z,X2) ),
    inference(resolution,[],[f922,f853]) ).

fof(f1312,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onClass,uri_ex_z,X1)
      | iext(uri_ex_p,X0,sK20(uri_ex_p,X1,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1311,f852]) ).

fof(f1313,plain,
    ! [X0] :
      ( iext(uri_ex_p,X0,sK20(uri_ex_p,uri_ex_c,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1312,f851]) ).

fof(f1314,plain,
    ! [X0] :
      ( icext(sK10,sK20(uri_ex_p,uri_ex_c,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1313,f1287]) ).

fof(f1317,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_onProperty,uri_ex_z,X0)
      | icext(uri_ex_z,X1)
      | iext(X0,X1,sK21(X0,X2,X1))
      | ~ iext(uri_owl_onClass,uri_ex_z,X2) ),
    inference(resolution,[],[f920,f853]) ).

fof(f1318,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onClass,uri_ex_z,X1)
      | iext(uri_ex_p,X0,sK21(uri_ex_p,X1,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1317,f852]) ).

fof(f1319,plain,
    ! [X0] :
      ( iext(uri_ex_p,X0,sK21(uri_ex_p,uri_ex_c,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1318,f851]) ).

fof(f1320,plain,
    ! [X0] :
      ( icext(sK10,sK21(uri_ex_p,uri_ex_c,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1319,f1287]) ).

fof(f1325,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,sK9)
      | ~ icext(X2,X1)
      | ~ iext(uri_owl_oneOf,X2,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK9,X0)
      | X1 = X4 ),
    inference(resolution,[],[f887,f844]) ).

fof(f1326,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,sK7)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK7,X2)
      | X1 = X3
      | ~ iext(uri_rdf_first,sK9,X3)
      | X1 = X2 ),
    inference(resolution,[],[f1325,f849]) ).

fof(f1327,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK9,X2)
      | ~ iext(uri_rdf_first,sK7,X1)
      | X0 = X2
      | ~ icext(sK10,X0)
      | X0 = X1 ),
    inference(resolution,[],[f1326,f848]) ).

fof(f1328,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK7,X0)
      | uri_ex_x2 = X1
      | ~ icext(sK10,X1)
      | X0 = X1 ),
    inference(resolution,[],[f1327,f845]) ).

fof(f1329,plain,
    ! [X0] :
      ( ~ icext(sK10,X0)
      | uri_ex_x2 = X0
      | uri_ex_x1 = X0 ),
    inference(resolution,[],[f1328,f850]) ).

fof(f1331,plain,
    ! [X0] :
      ( icext(uri_ex_z,X0)
      | uri_ex_x1 = sK20(uri_ex_p,uri_ex_c,X0)
      | uri_ex_x2 = sK20(uri_ex_p,uri_ex_c,X0) ),
    inference(resolution,[],[f1329,f1314]) ).

fof(f1332,plain,
    ! [X0] :
      ( icext(uri_ex_z,X0)
      | uri_ex_x1 = sK21(uri_ex_p,uri_ex_c,X0)
      | uri_ex_x2 = sK21(uri_ex_p,uri_ex_c,X0) ),
    inference(resolution,[],[f1329,f1320]) ).

fof(f1333,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_ex_z)
      | uri_ex_x2 = sK20(uri_ex_p,uri_ex_c,X0)
      | uri_ex_x1 = sK20(uri_ex_p,uri_ex_c,X0) ),
    inference(resolution,[],[f1331,f856]) ).

fof(f1334,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_ex_z)
      | uri_ex_x2 = sK21(uri_ex_p,uri_ex_c,X0)
      | uri_ex_x1 = sK21(uri_ex_p,uri_ex_c,X0) ),
    inference(resolution,[],[f1332,f856]) ).

fof(f1335,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
      | icext(uri_ex_z,X2)
      | icext(X0,sK20(X1,X0,X2))
      | ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
    inference(resolution,[],[f921,f853]) ).

fof(f1336,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onClass,uri_ex_z,X1)
      | icext(X1,sK20(uri_ex_p,X1,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1335,f852]) ).

fof(f1337,plain,
    ! [X0] :
      ( icext(uri_ex_c,sK20(uri_ex_p,uri_ex_c,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1336,f851]) ).

fof(f1339,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
      | icext(uri_ex_z,X2)
      | icext(X0,sK21(X1,X0,X2))
      | ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
    inference(resolution,[],[f919,f853]) ).

fof(f1340,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onClass,uri_ex_z,X1)
      | icext(X1,sK21(uri_ex_p,X1,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1339,f852]) ).

fof(f1341,plain,
    ! [X0] :
      ( icext(uri_ex_c,sK21(uri_ex_p,uri_ex_c,X0))
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f1340,f851]) ).

fof(f1343,plain,
    ( uri_ex_x2 = sK20(uri_ex_p,uri_ex_c,uri_ex_w)
    | uri_ex_x1 = sK20(uri_ex_p,uri_ex_c,uri_ex_w) ),
    inference(resolution,[],[f1333,f841]) ).

fof(f1347,definition,
    ( spl116_1
  <=> uri_ex_x1 = sK20(uri_ex_p,uri_ex_c,uri_ex_w) ),
    introduced(definition,[new_symbols(definition,[spl116_1])],[avatar_definition]) ).

fof(f1348,plain,
    ( uri_ex_x1 = sK20(uri_ex_p,uri_ex_c,uri_ex_w)
    | ~ spl116_1 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f1350,definition,
    ( spl116_2
  <=> uri_ex_x2 = sK20(uri_ex_p,uri_ex_c,uri_ex_w) ),
    introduced(definition,[new_symbols(definition,[spl116_2])],[avatar_definition]) ).

fof(f1351,plain,
    ( uri_ex_x2 = sK20(uri_ex_p,uri_ex_c,uri_ex_w)
    | ~ spl116_2 ),
    inference(avatar_component_clause,[],[f1350]) ).

fof(f1352,plain,
    ( spl116_1
    | spl116_2 ),
    inference(avatar_split_clause,[],[f1343,f1350,f1347]) ).

fof(f1353,plain,
    ( icext(uri_ex_c,uri_ex_x2)
    | icext(uri_ex_z,uri_ex_w)
    | ~ spl116_2 ),
    inference(superposition,[],[f1337,f1351]) ).

fof(f1356,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ spl116_2 ),
    inference(forward_subsumption_resolution,[],[f1353,f1310]) ).

fof(f1358,plain,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
    | ~ spl116_2 ),
    inference(resolution,[],[f1356,f856]) ).

fof(f1360,plain,
    ( $false
    | ~ spl116_2 ),
    inference(forward_subsumption_resolution,[],[f1358,f841]) ).

fof(f1361,plain,
    ~ spl116_2,
    inference(avatar_contradiction_clause,[],[f1360]) ).

fof(f1366,definition,
    ( spl116_3
  <=> icext(uri_ex_z,uri_ex_w) ),
    introduced(definition,[new_symbols(definition,[spl116_3])],[avatar_definition]) ).

fof(f1367,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ spl116_3 ),
    inference(avatar_component_clause,[],[f1366]) ).

fof(f1387,plain,
    ( uri_ex_x2 = sK21(uri_ex_p,uri_ex_c,uri_ex_w)
    | uri_ex_x1 = sK21(uri_ex_p,uri_ex_c,uri_ex_w) ),
    inference(resolution,[],[f1334,f841]) ).

fof(f1391,definition,
    ( spl116_6
  <=> uri_ex_x1 = sK21(uri_ex_p,uri_ex_c,uri_ex_w) ),
    introduced(definition,[new_symbols(definition,[spl116_6])],[avatar_definition]) ).

fof(f1392,plain,
    ( uri_ex_x1 = sK21(uri_ex_p,uri_ex_c,uri_ex_w)
    | ~ spl116_6 ),
    inference(avatar_component_clause,[],[f1391]) ).

fof(f1394,definition,
    ( spl116_7
  <=> uri_ex_x2 = sK21(uri_ex_p,uri_ex_c,uri_ex_w) ),
    introduced(definition,[new_symbols(definition,[spl116_7])],[avatar_definition]) ).

fof(f1395,plain,
    ( uri_ex_x2 = sK21(uri_ex_p,uri_ex_c,uri_ex_w)
    | ~ spl116_7 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f1396,plain,
    ( spl116_6
    | spl116_7 ),
    inference(avatar_split_clause,[],[f1387,f1394,f1391]) ).

fof(f1400,plain,
    ( ! [X0] :
        ( uri_ex_x1 != sK20(uri_ex_p,uri_ex_c,uri_ex_w)
        | icext(X0,uri_ex_w)
        | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X0,uri_ex_p)
        | ~ iext(uri_owl_onClass,X0,uri_ex_c) )
    | ~ spl116_6 ),
    inference(superposition,[],[f923,f1392]) ).

fof(f1401,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_onProperty,X0,uri_ex_p)
        | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | icext(X0,uri_ex_w)
        | ~ iext(uri_owl_onClass,X0,uri_ex_c) )
    | ~ spl116_1
    | ~ spl116_6 ),
    inference(forward_subsumption_resolution,[],[f1400,f1348]) ).

fof(f1402,plain,
    ( ~ iext(uri_owl_maxQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | icext(uri_ex_z,uri_ex_w)
    | ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
    | ~ spl116_1
    | ~ spl116_6 ),
    inference(resolution,[],[f1401,f852]) ).

fof(f1403,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
    | ~ spl116_1
    | ~ spl116_6 ),
    inference(forward_subsumption_resolution,[],[f1402,f853]) ).

fof(f1404,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ spl116_1
    | ~ spl116_6 ),
    inference(forward_subsumption_resolution,[],[f1403,f851]) ).

fof(f1405,plain,
    ( spl116_3
    | ~ spl116_1
    | ~ spl116_6 ),
    inference(avatar_split_clause,[],[f1404,f1391,f1347,f1366]) ).

fof(f1408,plain,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
    | ~ spl116_3 ),
    inference(resolution,[],[f1367,f856]) ).

fof(f1410,plain,
    ( $false
    | ~ spl116_3 ),
    inference(forward_subsumption_resolution,[],[f1408,f841]) ).

fof(f1411,plain,
    ~ spl116_3,
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1412,plain,
    ( icext(uri_ex_c,uri_ex_x2)
    | icext(uri_ex_z,uri_ex_w)
    | ~ spl116_7 ),
    inference(superposition,[],[f1341,f1395]) ).

fof(f1417,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ spl116_7 ),
    inference(forward_subsumption_resolution,[],[f1412,f1310]) ).

fof(f1425,plain,
    ( spl116_3
    | ~ spl116_7 ),
    inference(avatar_split_clause,[],[f1417,f1394,f1366]) ).

cnf(s1,plain,
    ( spl116_1
    | spl116_2 ),
    inference(sat_conversion,[],[f1352]) ).

cnf(s3,plain,
    ~ spl116_2,
    inference(sat_conversion,[],[f1361]) ).

cnf(s6,plain,
    ( spl116_6
    | spl116_7 ),
    inference(sat_conversion,[],[f1396]) ).

cnf(s7,plain,
    ( ~ spl116_1
    | spl116_3
    | ~ spl116_6 ),
    inference(sat_conversion,[],[f1405]) ).

cnf(s9,plain,
    ~ spl116_3,
    inference(sat_conversion,[],[f1411]) ).

cnf(s11,plain,
    ( spl116_3
    | ~ spl116_7 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s12,plain,
    ~ spl116_7,
    inference(rat,[],[s11,s9]) ).

cnf(s13,plain,
    ( ~ spl116_1
    | ~ spl116_6 ),
    inference(rat,[],[s7,s9]) ).

cnf(s14,plain,
    spl116_6,
    inference(rat,[],[s6,s12]) ).

cnf(s15,plain,
    ~ spl116_1,
    inference(rat,[],[s13,s14]) ).

cnf(s16,plain,
    $false,
    inference(rat,[],[s1,s3,s15]) ).

fof(f1426,plain,
    $false,
    inference(avatar_sat_refutation,[],[s16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB091+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n017.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 28 07:14:21 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.05/2.04  % (3368260)Detected formulas, will run a generic FOF schedule.
% 6.05/2.04  % (3368268)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=970222236:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.05/2.04  % (3368268)Refutation not found, incomplete strategy
% 6.05/2.04  % (3368268)------------------------------
% 6.05/2.04  % (3368268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368268)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368268)Termination reason: Refutation not found, incomplete strategy
% 6.05/2.04  % (3368268)Time elapsed: 0.001 s
% 6.05/2.04  % (3368268)Peak memory usage: 87 MB
% 6.05/2.04  % (3368268)Instructions burned: 1 (million)
% 6.05/2.04  % (3368266)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3720433087:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.05/2.04  % (3368267)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=622995425:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.05/2.04  % (3368265)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=922243272:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.05/2.04  % (3368271)dis-21_1_sil=8000:lcm=predicate:random_seed=3493195325:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.05/2.04  % (3368270)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1667912685:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.05/2.04  % (3368269)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2845988898:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.05/2.04  % (3368269)Refutation not found, incomplete strategy
% 6.05/2.04  % (3368269)------------------------------
% 6.05/2.04  % (3368269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368269)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368269)Termination reason: Refutation not found, incomplete strategy
% 6.05/2.04  % (3368269)Time elapsed: 0.002 s
% 6.05/2.04  % (3368269)Peak memory usage: 87 MB
% 6.05/2.04  % (3368269)Instructions burned: 1 (million)
% 6.05/2.04  % (3368271)Instruction limit reached! 
% 6.05/2.04  % (3368271)------------------------------
% 6.05/2.04  % (3368271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368271)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368271)Termination reason: Instruction limit
% 6.05/2.04  % (3368271)Termination phase: Saturation
% 6.05/2.04  % (3368271)Time elapsed: 0.069 s
% 6.05/2.04  % (3368271)Peak memory usage: 91 MB
% 6.05/2.04  % (3368271)Instructions burned: 129 (million)
% 6.05/2.04  % (3368270)Instruction limit reached! 
% 6.05/2.04  % (3368270)------------------------------
% 6.05/2.04  % (3368270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368270)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368270)Termination reason: Instruction limit
% 6.05/2.04  % (3368270)Termination phase: Saturation
% 6.05/2.04  % (3368270)Time elapsed: 0.085 s
% 6.05/2.04  % (3368270)Peak memory usage: 90 MB
% 6.05/2.04  % (3368270)Instructions burned: 139 (million)
% 6.05/2.04  % (3368268)------------------------------
% 6.05/2.04  % (3368268)------------------------------
% 6.05/2.04  % (3368281)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3526332116:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.05/2.04  % (3368281)Refutation not found, incomplete strategy
% 6.05/2.04  % (3368281)------------------------------
% 6.05/2.04  % (3368281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368281)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368281)Termination reason: Refutation not found, incomplete strategy
% 6.05/2.04  % (3368281)Time elapsed: 0.002 s
% 6.05/2.04  % (3368281)Peak memory usage: 88 MB
% 6.05/2.04  % (3368281)Instructions burned: 2 (million)
% 6.05/2.04  % (3368279)lrs+10_1_sil=8000:sp=occurrence:random_seed=3805333380:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.05/2.04  % (3368280)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1154740949:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.05/2.04  % (3368280)Refutation not found, incomplete strategy
% 6.05/2.04  % (3368280)------------------------------
% 6.05/2.04  % (3368280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368280)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368280)Termination reason: Refutation not found, incomplete strategy
% 6.05/2.04  % (3368280)Time elapsed: 0.004 s
% 6.05/2.04  % (3368280)Peak memory usage: 88 MB
% 6.05/2.04  % (3368280)Instructions burned: 5 (million)
% 6.05/2.04  % (3368269)------------------------------
% 6.05/2.04  % (3368269)------------------------------
% 6.05/2.04  % (3368281)------------------------------
% 6.05/2.04  % (3368281)------------------------------
% 6.05/2.04  % (3368279)Instruction limit reached! 
% 6.05/2.04  % (3368279)------------------------------
% 6.05/2.04  % (3368279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368279)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368279)Termination reason: Instruction limit
% 6.05/2.04  % (3368279)Termination phase: Saturation
% 6.05/2.04  % (3368279)Time elapsed: 0.171 s
% 6.05/2.04  % (3368279)Peak memory usage: 91 MB
% 6.05/2.04  % (3368279)Instructions burned: 286 (million)
% 6.05/2.04  % (3368285)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1699993836:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.05/2.04  % (3368280)------------------------------
% 6.05/2.04  % (3368280)------------------------------
% 6.05/2.04  % (3368286)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2214872383:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.05/2.04  % (3368286)Refutation not found, incomplete strategy
% 6.05/2.04  % (3368286)------------------------------
% 6.05/2.04  % (3368286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368286)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368286)Termination reason: Refutation not found, incomplete strategy
% 6.05/2.04  % (3368286)Time elapsed: 0.006 s
% 6.05/2.04  % (3368286)Peak memory usage: 89 MB
% 6.05/2.04  % (3368286)Instructions burned: 18 (million)
% 6.05/2.04  % (3368285)Instruction limit reached! 
% 6.05/2.04  % (3368285)------------------------------
% 6.05/2.04  % (3368285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368285)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368285)Termination reason: Instruction limit
% 6.05/2.04  % (3368285)Termination phase: Saturation
% 6.05/2.04  % (3368285)Time elapsed: 0.133 s
% 6.05/2.04  % (3368285)Peak memory usage: 90 MB
% 6.05/2.04  % (3368285)Instructions burned: 249 (million)
% 6.05/2.04  % (3368287)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=509196964:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.05/2.04  % (3368286)------------------------------
% 6.05/2.04  % (3368286)------------------------------
% 6.05/2.04  % (3368289)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1467580723:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.05/2.04  % (3368292)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1922181483:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.05/2.04  % (3368289)Instruction limit reached! 
% 6.05/2.04  % (3368289)------------------------------
% 6.05/2.04  % (3368289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368289)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368289)Termination reason: Instruction limit
% 6.05/2.04  % (3368289)Termination phase: Saturation
% 6.05/2.04  % (3368289)Time elapsed: 0.067 s
% 6.05/2.04  % (3368289)Peak memory usage: 90 MB
% 6.05/2.04  % (3368289)Instructions burned: 113 (million)
% 6.05/2.04  % (3368266)First to succeed.
% 6.05/2.04  % (3368266)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3368260"
% 6.05/2.04  % (3368294)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1800369338:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.05/2.04  % (3368292)Instruction limit reached! 
% 6.05/2.04  % (3368292)------------------------------
% 6.05/2.04  % (3368292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368292)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368292)Termination reason: Instruction limit
% 6.05/2.04  % (3368292)Termination phase: Saturation
% 6.05/2.04  % (3368292)Time elapsed: 0.068 s
% 6.05/2.04  % (3368292)Peak memory usage: 90 MB
% 6.05/2.04  % (3368292)Instructions burned: 128 (million)
% 6.05/2.04  % (3368294)Instruction limit reached! 
% 6.05/2.04  % (3368294)------------------------------
% 6.05/2.04  % (3368294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368294)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368294)Termination reason: Instruction limit
% 6.05/2.04  % (3368294)Termination phase: Saturation
% 6.05/2.04  % (3368294)Time elapsed: 0.031 s
% 6.05/2.04  % (3368294)Peak memory usage: 89 MB
% 6.05/2.04  % (3368294)Instructions burned: 117 (million)
% 6.05/2.04  % (3368265)Also succeeded, but the first one will report.
% 6.05/2.04  % (3368296)lrs+10_1_sil=8000:sp=occurrence:random_seed=84710980:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.05/2.04  % (3368299)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2473849272:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.05/2.04  % (3368298)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2523660905:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.05/2.04  % (3368298)Refutation not found, incomplete strategy
% 6.05/2.04  % (3368298)------------------------------
% 6.05/2.04  % (3368298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/2.04  % (3368298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/2.04  % (3368298)CaDiCaL version: 2.1.3
% 6.05/2.04  % (3368298)Termination reason: Refutation not found, incomplete strategy
% 6.05/2.04  % (3368298)Time elapsed: 0.006 s
% 6.05/2.04  % (3368298)Peak memory usage: 89 MB
% 6.05/2.04  % (3368298)Instructions burned: 8 (million)
% 6.05/2.04  % (3368266)Refutation found. Thanks to Tanya!
% 6.05/2.04  % SZS status Theorem for theBenchmark
% 6.05/2.04  % SZS output start Proof for theBenchmark
% See solution above
% 8.97/2.24  % (3368266)------------------------------
% 8.97/2.24  % (3368266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/2.24  % (3368266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/2.24  % (3368266)CaDiCaL version: 2.1.3
% 8.97/2.24  % (3368266)Termination reason: Refutation
% 8.97/2.24  % (3368266)Time elapsed: 0.754 s
% 8.97/2.24  % (3368266)Peak memory usage: 137 MB
% 8.97/2.24  % (3368266)Instructions burned: 1141 (million)
% 8.97/2.24  % (3368266)------------------------------
% 8.97/2.24  % (3368266)------------------------------
% 8.97/2.24  % (3368260)Success in time 1.199 s
% 8.97/2.24  % Vampire exiting
%------------------------------------------------------------------------------