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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB062+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 01:00:20 PM UTC 2026

% Result   : Theorem 3.86s 1.56s
% Output   : Refutation 5.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   67 (  23 unt;   0 def)
%            Number of atoms       :  272 (  34 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  312 ( 107   ~; 112   |;  81   &)
%                                         (   9 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  22 con; 0-2 aty)
%            Number of variables   :  124 ( 111   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).

fof(f52,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        & iext(X0,X2,X3) )
     => icext(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f295,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f345,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).

fof(f353,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ~ ( iext(X0,X2,X3)
              & iext(X1,X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f559,conjecture,
    iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_disprop_ext) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1)
      & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
      & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
      & iext(uri_owl_oneOf,uri_ex_y1,X2)
      & iext(uri_rdf_first,X2,uri_ex_o1)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_s2)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
      & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
      & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
      & iext(uri_owl_oneOf,uri_ex_x1,X1)
      & iext(uri_owl_oneOf,uri_ex_y2,X3)
      & iext(uri_rdf_first,X3,uri_ex_o2)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
      & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
      & iext(uri_rdf_first,X1,uri_ex_s1)
      & iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_x2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_disprop_ext) ).

fof(f562,plain,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(flattening,[],[f560]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X1,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f353]) ).

fof(f565,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f567,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f568,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(flattening,[],[f567]) ).

fof(f583,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f295]) ).

fof(f584,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(flattening,[],[f583]) ).

fof(f598,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f599,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(flattening,[],[f598]) ).

fof(f600,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(rectify,[],[f599]) ).

fof(f601,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ( iext(X0,sK2(X0,X1),sK3(X0,X1))
          & iext(X1,sK2(X0,X1),sK3(X0,X1)) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f600]) ).

fof(f602,plain,
    ( iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1)
    & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
    & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
    & iext(uri_owl_oneOf,uri_ex_y1,sK6)
    & iext(uri_rdf_first,sK6,uri_ex_o1)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil)
    & iext(uri_rdf_first,sK4,uri_ex_s2)
    & iext(uri_rdf_rest,sK4,uri_rdf_nil)
    & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
    & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
    & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
    & iext(uri_owl_oneOf,uri_ex_x1,sK5)
    & iext(uri_owl_oneOf,uri_ex_y2,sK7)
    & iext(uri_rdf_first,sK7,uri_ex_o2)
    & iext(uri_rdf_rest,sK7,uri_rdf_nil)
    & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
    & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
    & iext(uri_rdf_first,sK5,uri_ex_s1)
    & iext(uri_rdf_rest,sK5,uri_rdf_nil)
    & iext(uri_owl_oneOf,uri_ex_x2,sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f561]) ).

fof(f611,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_differentFrom,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f345]) ).

fof(f622,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X3 = X2
                  | ~ icext(X0,X3) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(nnf_transformation,[],[f584]) ).

fof(f623,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X3 = X2
                  | ~ icext(X0,X3) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(flattening,[],[f622]) ).

fof(f624,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(rectify,[],[f623]) ).

fof(f625,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ( ( sK14(X0,X2) != X2
              | ~ icext(X0,sK14(X0,X2)) )
            & ( sK14(X0,X2) = X2
              | icext(X0,sK14(X0,X2)) ) ) )
        & ( ( ic(X0)
            & ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X2))],[f624]) ).

fof(f635,plain,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(cnf_transformation,[],[f562]) ).

fof(f639,plain,
    ! [X0,X1] :
      ( iext(X1,sK2(X0,X1),sK3(X0,X1))
      | ~ ip(X0)
      | ~ ip(X1)
      | iext(uri_owl_propertyDisjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f640,plain,
    ! [X0,X1] :
      ( iext(X0,sK2(X0,X1),sK3(X0,X1))
      | ~ ip(X0)
      | ~ ip(X1)
      | iext(uri_owl_propertyDisjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f644,plain,
    iext(uri_owl_oneOf,uri_ex_x2,sK4),
    inference(cnf_transformation,[],[f602]) ).

fof(f645,plain,
    iext(uri_rdf_rest,sK5,uri_rdf_nil),
    inference(cnf_transformation,[],[f602]) ).

fof(f646,plain,
    iext(uri_rdf_first,sK5,uri_ex_s1),
    inference(cnf_transformation,[],[f602]) ).

fof(f647,plain,
    iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2),
    inference(cnf_transformation,[],[f602]) ).

fof(f648,plain,
    iext(uri_ex_p1,uri_ex_s1,uri_ex_o1),
    inference(cnf_transformation,[],[f602]) ).

fof(f652,plain,
    iext(uri_owl_oneOf,uri_ex_x1,sK5),
    inference(cnf_transformation,[],[f602]) ).

fof(f655,plain,
    iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2),
    inference(cnf_transformation,[],[f602]) ).

fof(f656,plain,
    iext(uri_rdf_rest,sK4,uri_rdf_nil),
    inference(cnf_transformation,[],[f602]) ).

fof(f657,plain,
    iext(uri_rdf_first,sK4,uri_ex_s2),
    inference(cnf_transformation,[],[f602]) ).

fof(f661,plain,
    iext(uri_ex_p2,uri_ex_s2,uri_ex_o2),
    inference(cnf_transformation,[],[f602]) ).

fof(f663,plain,
    iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1),
    inference(cnf_transformation,[],[f602]) ).

fof(f664,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f565]) ).

fof(f671,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X2)
      | ~ iext(X0,X2,X3) ),
    inference(cnf_transformation,[],[f568]) ).

fof(f679,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ iext(uri_owl_differentFrom,X0,X1) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f706,plain,
    ! [X2,X0,X1,X4] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ icext(X0,X4)
      | X2 = X4
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f625]) ).

fof(f743,plain,
    ! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
    inference(equality_resolution,[],[f679]) ).

fof(f778,plain,
    ip(uri_ex_p1),
    inference(resolution,[],[f664,f648]) ).

fof(f779,plain,
    ip(uri_ex_p2),
    inference(resolution,[],[f664,f661]) ).

fof(f836,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p1,X0,X1)
      | icext(uri_ex_x1,X0) ),
    inference(resolution,[],[f671,f663]) ).

fof(f837,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p2,X0,X1)
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[],[f671,f655]) ).

fof(f983,plain,
    ! [X0] :
      ( icext(uri_ex_x1,sK2(uri_ex_p1,X0))
      | ~ ip(uri_ex_p1)
      | ~ ip(X0)
      | iext(uri_owl_propertyDisjointWith,uri_ex_p1,X0) ),
    inference(resolution,[],[f836,f640]) ).

fof(f986,plain,
    ! [X0] :
      ( icext(uri_ex_x1,sK2(uri_ex_p1,X0))
      | ~ ip(X0)
      | iext(uri_owl_propertyDisjointWith,uri_ex_p1,X0) ),
    inference(forward_subsumption_resolution,[],[f983,f778]) ).

fof(f1076,plain,
    ! [X0,X1] :
      ( ~ icext(uri_ex_x1,X0)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK5,X1)
      | ~ iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
    inference(resolution,[],[f706,f652]) ).

fof(f1078,plain,
    ! [X0,X1] :
      ( ~ icext(uri_ex_x2,X0)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK4,X1)
      | ~ iext(uri_rdf_rest,sK4,uri_rdf_nil) ),
    inference(resolution,[],[f706,f644]) ).

fof(f1089,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK4,X1)
      | X0 = X1
      | ~ icext(uri_ex_x2,X0) ),
    inference(forward_subsumption_resolution,[],[f1078,f656]) ).

fof(f1091,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK5,X1)
      | X0 = X1
      | ~ icext(uri_ex_x1,X0) ),
    inference(forward_subsumption_resolution,[],[f1076,f645]) ).

fof(f1108,plain,
    ! [X0] :
      ( icext(uri_ex_x2,sK2(X0,uri_ex_p2))
      | ~ ip(X0)
      | ~ ip(uri_ex_p2)
      | iext(uri_owl_propertyDisjointWith,X0,uri_ex_p2) ),
    inference(resolution,[],[f837,f639]) ).

fof(f1115,plain,
    ! [X0] :
      ( icext(uri_ex_x2,sK2(X0,uri_ex_p2))
      | ~ ip(X0)
      | iext(uri_owl_propertyDisjointWith,X0,uri_ex_p2) ),
    inference(forward_subsumption_resolution,[],[f1108,f779]) ).

fof(f1307,plain,
    ! [X0] :
      ( ~ icext(uri_ex_x2,X0)
      | uri_ex_s2 = X0 ),
    inference(resolution,[],[f1089,f657]) ).

fof(f1335,plain,
    ! [X0] :
      ( ~ icext(uri_ex_x1,X0)
      | uri_ex_s1 = X0 ),
    inference(resolution,[],[f1091,f646]) ).

fof(f2045,plain,
    ! [X0] :
      ( iext(uri_owl_propertyDisjointWith,uri_ex_p1,X0)
      | ~ ip(X0)
      | uri_ex_s1 = sK2(uri_ex_p1,X0) ),
    inference(resolution,[],[f986,f1335]) ).

fof(f2126,plain,
    ( ~ ip(uri_ex_p2)
    | uri_ex_s1 = sK2(uri_ex_p1,uri_ex_p2) ),
    inference(resolution,[],[f2045,f635]) ).

fof(f2132,plain,
    uri_ex_s1 = sK2(uri_ex_p1,uri_ex_p2),
    inference(forward_subsumption_resolution,[],[f2126,f779]) ).

fof(f2135,plain,
    ( icext(uri_ex_x2,uri_ex_s1)
    | ~ ip(uri_ex_p1)
    | iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2) ),
    inference(superposition,[],[f1115,f2132]) ).

fof(f2140,plain,
    ( icext(uri_ex_x2,uri_ex_s1)
    | iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2) ),
    inference(forward_subsumption_resolution,[],[f2135,f778]) ).

fof(f2144,plain,
    icext(uri_ex_x2,uri_ex_s1),
    inference(forward_subsumption_resolution,[],[f2140,f635]) ).

fof(f2167,plain,
    uri_ex_s2 = uri_ex_s1,
    inference(resolution,[],[f2144,f1307]) ).

fof(f2176,plain,
    iext(uri_owl_differentFrom,uri_ex_s2,uri_ex_s2),
    inference(superposition,[],[f647,f2167]) ).

fof(f2178,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2176,f743]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB062+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n011.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 07:15:15 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.86/1.56  % (3222639)Detected formulas, will run a generic FOF schedule.
% 3.86/1.56  % (3222647)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2369248647:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.86/1.56  % (3222647)Refutation not found, incomplete strategy
% 3.86/1.56  % (3222647)------------------------------
% 3.86/1.56  % (3222647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.56  % (3222647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.56  % (3222647)CaDiCaL version: 2.1.3
% 3.86/1.56  % (3222647)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.56  % (3222647)Time elapsed: 0.002 s
% 3.86/1.56  % (3222647)Peak memory usage: 88 MB
% 3.86/1.56  % (3222647)Instructions burned: 2 (million)
% 3.86/1.56  % (3222650)dis-21_1_sil=8000:lcm=predicate:random_seed=2594891969: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)
% 3.86/1.56  % (3222648)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=383940940:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.86/1.56  % (3222646)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=2481504399:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.86/1.56  % (3222645)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=4252466656:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.86/1.56  % (3222644)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=3338787486:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.86/1.56  % (3222649)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3554225361:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.86/1.56  % (3222648)Refutation not found, incomplete strategy
% 3.86/1.56  % (3222648)------------------------------
% 3.86/1.56  % (3222648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.56  % (3222648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.56  % (3222648)CaDiCaL version: 2.1.3
% 3.86/1.56  % (3222648)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.56  % (3222648)Time elapsed: 0.003 s
% 3.86/1.56  % (3222648)Peak memory usage: 88 MB
% 3.86/1.56  % (3222648)Instructions burned: 3 (million)
% 3.86/1.56  % (3222650)Instruction limit reached! 
% 3.86/1.56  % (3222650)------------------------------
% 3.86/1.56  % (3222650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.56  % (3222650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.56  % (3222650)CaDiCaL version: 2.1.3
% 3.86/1.56  % (3222650)Termination reason: Instruction limit
% 3.86/1.56  % (3222650)Termination phase: Saturation
% 3.86/1.56  % (3222650)Time elapsed: 0.067 s
% 3.86/1.56  % (3222650)Peak memory usage: 91 MB
% 3.86/1.56  % (3222650)Instructions burned: 129 (million)
% 3.86/1.56  % (3222649)Instruction limit reached! 
% 3.86/1.56  % (3222649)------------------------------
% 3.86/1.56  % (3222649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.56  % (3222649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.56  % (3222649)CaDiCaL version: 2.1.3
% 3.86/1.56  % (3222649)Termination reason: Instruction limit
% 3.86/1.56  % (3222649)Termination phase: Saturation
% 3.86/1.56  % (3222649)Time elapsed: 0.079 s
% 3.86/1.56  % (3222649)Peak memory usage: 91 MB
% 3.86/1.56  % (3222649)Instructions burned: 139 (million)
% 3.86/1.56  % (3222647)------------------------------
% 3.86/1.56  % (3222647)------------------------------
% 3.86/1.56  % (3222659)lrs+10_1_sil=32000:urr=on:br=off:random_seed=655099326:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.86/1.56  % (3222658)lrs+10_1_sil=8000:sp=occurrence:random_seed=961503972:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.86/1.56  % (3222659)Refutation not found, incomplete strategy
% 3.86/1.56  % (3222659)------------------------------
% 3.86/1.56  % (3222659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.56  % (3222659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.56  % (3222659)CaDiCaL version: 2.1.3
% 3.86/1.56  % (3222659)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.56  % (3222659)Time elapsed: 0.005 s
% 3.86/1.56  % (3222659)Peak memory usage: 89 MB
% 3.86/1.56  % (3222659)Instructions burned: 7 (million)
% 3.86/1.56  % (3222660)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3463582298:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.86/1.56  % (3222660)Refutation not found, incomplete strategy
% 3.86/1.56  % (3222660)------------------------------
% 3.86/1.56  % (3222660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.56  % (3222660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.56  % (3222660)CaDiCaL version: 2.1.3
% 3.86/1.56  % (3222660)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.56  % (3222660)Time elapsed: 0.002 s
% 3.86/1.56  % (3222660)Peak memory usage: 88 MB
% 3.86/1.56  % (3222660)Instructions burned: 4 (million)
% 3.86/1.56  % (3222648)------------------------------
% 3.86/1.56  % (3222648)------------------------------
% 3.86/1.56  % (3222658)First to succeed.
% 3.86/1.56  % (3222658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3222639"
% 3.86/1.56  % (3222660)------------------------------
% 3.86/1.56  % (3222660)------------------------------
% 3.86/1.56  % (3222664)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=1814466279:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.86/1.56  % (3222664)Also succeeded, but the first one will report.
% 3.86/1.56  % (3222659)------------------------------
% 3.86/1.56  % (3222659)------------------------------
% 3.86/1.56  % (3222665)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3645547824:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.86/1.56  % (3222665)Refutation not found, incomplete strategy
% 3.86/1.56  % (3222665)------------------------------
% 3.86/1.56  % (3222665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.56  % (3222665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.56  % (3222665)CaDiCaL version: 2.1.3
% 3.86/1.56  % (3222665)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.56  % (3222665)Time elapsed: 0.003 s
% 3.86/1.56  % (3222665)Peak memory usage: 89 MB
% 3.86/1.56  % (3222665)Instructions burned: 6 (million)
% 3.86/1.56  % (3222658)Refutation found. Thanks to Tanya!
% 3.86/1.56  % SZS status Theorem for theBenchmark
% 3.86/1.56  % SZS output start Proof for theBenchmark
% See solution above
% 5.53/1.76  % (3222658)------------------------------
% 5.53/1.76  % (3222658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.76  % (3222658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.76  % (3222658)CaDiCaL version: 2.1.3
% 5.53/1.76  % (3222658)Termination reason: Refutation
% 5.53/1.76  % (3222658)Time elapsed: 0.037 s
% 5.53/1.76  % (3222658)Peak memory usage: 90 MB
% 5.53/1.76  % (3222658)Instructions burned: 54 (million)
% 5.53/1.76  % (3222658)------------------------------
% 5.53/1.76  % (3222658)------------------------------
% 5.53/1.76  % (3222639)Success in time 0.707 s
% 5.53/1.76  % Vampire exiting
%------------------------------------------------------------------------------