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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB026+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 : n005.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 01:00:12 PM UTC 2026

% Result   : Theorem 3.79s 1.58s
% Output   : Refutation 5.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   60 (  16 unt;   0 def)
%            Number of atoms       :  273 (  38 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  328 ( 115   ~; 121   |;  76   &)
%                                         (  12 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  15 con; 0-2 aty)
%            Number of variables   :  140 ( 118   !;  22   ?)

% 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(f52,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        & iext(X0,X2,X3) )
     => icext(X1,X2) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f341,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ip(X0)
        & ic(X1)
        & ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_domain) ).

fof(f394,axiom,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X2,X3) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

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

fof(f561,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdfs_domain,uri_ex_p,X0)
      & iext(uri_owl_oneOf,X0,X2)
      & iext(uri_rdf_first,X2,uri_ex_w)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdfs_range,uri_ex_p,X1)
      & iext(uri_owl_oneOf,X1,X3)
      & iext(uri_rdf_first,X3,uri_ex_u)
      & iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f560]) ).

fof(f563,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f394]) ).

fof(f564,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(flattening,[],[f563]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ip(X0)
        & ic(X1)
        & ! [X2,X3] :
            ( icext(X1,X2)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f341]) ).

fof(f568,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f569,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(flattening,[],[f568]) ).

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(f592,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(f593,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X2,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f564]) ).

fof(f594,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X2,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f593]) ).

fof(f595,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X5,X6) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f594]) ).

fof(f596,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ( sK2(X0) != sK3(X0)
          & iext(X0,sK2(X0),sK4(X0))
          & iext(X0,sK3(X0),sK4(X0)) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X5,X6) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0))],[f595]) ).

fof(f597,plain,
    ( iext(uri_rdfs_domain,uri_ex_p,sK5)
    & iext(uri_owl_oneOf,sK5,sK7)
    & iext(uri_rdf_first,sK7,uri_ex_w)
    & iext(uri_rdf_rest,sK7,uri_rdf_nil)
    & iext(uri_rdfs_range,uri_ex_p,sK6)
    & iext(uri_owl_oneOf,sK6,sK8)
    & iext(uri_rdf_first,sK8,uri_ex_u)
    & iext(uri_rdf_rest,sK8,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8)],[f561]) ).

fof(f598,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ~ ip(X0)
        | ~ ic(X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ic(X1)
          & ! [X2,X3] :
              ( icext(X1,X2)
              | ~ iext(X0,X2,X3) ) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(nnf_transformation,[],[f567]) ).

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

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

fof(f601,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ~ ip(X0)
        | ~ ic(X1)
        | ( ~ icext(X1,sK9(X0,X1))
          & iext(X0,sK9(X0,X1),sK10(X0,X1)) ) )
      & ( ( ip(X0)
          & ic(X1)
          & ! [X4,X5] :
              ( icext(X1,X4)
              | ~ iext(X0,X4,X5) ) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X2,sK9(X0,X1)),skolemize(X3,sK10(X0,X1))],[f600]) ).

fof(f616,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(f617,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,[],[f616]) ).

fof(f618,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,[],[f617]) ).

fof(f619,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ( ( sK15(X0,X2) != X2
              | ~ icext(X0,sK15(X0,X2)) )
            & ( sK15(X0,X2) = X2
              | icext(X0,sK15(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,[sK15]),skolemize(X3,sK15(X0,X2))],[f618]) ).

fof(f627,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f562]) ).

fof(f629,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f592]) ).

fof(f632,plain,
    ! [X0] :
      ( iext(X0,sK3(X0),sK4(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f596]) ).

fof(f633,plain,
    ! [X0] :
      ( iext(X0,sK2(X0),sK4(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f596]) ).

fof(f634,plain,
    ! [X0] :
      ( sK2(X0) != sK3(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f596]) ).

fof(f641,plain,
    iext(uri_rdf_rest,sK7,uri_rdf_nil),
    inference(cnf_transformation,[],[f597]) ).

fof(f642,plain,
    iext(uri_rdf_first,sK7,uri_ex_w),
    inference(cnf_transformation,[],[f597]) ).

fof(f643,plain,
    iext(uri_owl_oneOf,sK5,sK7),
    inference(cnf_transformation,[],[f597]) ).

fof(f644,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK5),
    inference(cnf_transformation,[],[f597]) ).

fof(f648,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f652,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X2)
      | ~ iext(X0,X2,X3) ),
    inference(cnf_transformation,[],[f569]) ).

fof(f682,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,[],[f619]) ).

fof(f736,plain,
    ip(uri_ex_p),
    inference(resolution,[],[f648,f644]) ).

fof(f749,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(resolution,[],[f629,f627]) ).

fof(f905,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X0,X1)
      | icext(sK5,X0) ),
    inference(resolution,[],[f652,f644]) ).

fof(f1084,plain,
    ! [X0,X1] :
      ( ~ icext(sK5,X0)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK7,X1)
      | ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
    inference(resolution,[],[f682,f643]) ).

fof(f1091,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK7,X1)
      | X0 = X1
      | ~ icext(sK5,X0) ),
    inference(forward_subsumption_resolution,[],[f1084,f641]) ).

fof(f1231,plain,
    ( icext(sK5,sK2(uri_ex_p))
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f905,f633]) ).

fof(f1232,plain,
    ( icext(sK5,sK3(uri_ex_p))
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f905,f632]) ).

fof(f1237,plain,
    ( icext(sK5,sK3(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f1232,f736]) ).

fof(f1238,plain,
    ( icext(sK5,sK2(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f1231,f736]) ).

fof(f1239,plain,
    icext(sK5,sK3(uri_ex_p)),
    inference(forward_subsumption_resolution,[],[f1237,f749]) ).

fof(f1240,plain,
    icext(sK5,sK2(uri_ex_p)),
    inference(forward_subsumption_resolution,[],[f1238,f749]) ).

fof(f1473,plain,
    ! [X0] :
      ( ~ icext(sK5,X0)
      | uri_ex_w = X0 ),
    inference(resolution,[],[f1091,f642]) ).

fof(f1963,plain,
    uri_ex_w = sK2(uri_ex_p),
    inference(resolution,[],[f1473,f1240]) ).

fof(f1964,plain,
    uri_ex_w = sK3(uri_ex_p),
    inference(resolution,[],[f1473,f1239]) ).

fof(f2009,plain,
    ( uri_ex_w != sK2(uri_ex_p)
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(superposition,[],[f634,f1964]) ).

fof(f2010,plain,
    ( ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f2009,f1963]) ).

fof(f2013,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(forward_subsumption_resolution,[],[f2010,f736]) ).

fof(f2015,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2013,f749]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB026+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n005.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 07:05:47 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 3.79/1.58  % (610137)Detected formulas, will run a generic FOF schedule.
% 3.79/1.58  % (610142)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=1151249080:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.79/1.58  % (610148)dis-21_1_sil=8000:lcm=predicate:random_seed=1056560896: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)
% 3.79/1.58  % (610144)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=442378674:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.79/1.58  % (610143)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=1348054228:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.79/1.58  % (610146)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1730647084:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.79/1.58  % (610145)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2578917246:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.79/1.58  % (610147)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2467936412:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.79/1.58  % (610145)Refutation not found, incomplete strategy
% 3.79/1.58  % (610145)------------------------------
% 3.79/1.58  % (610145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.58  % (610145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.58  % (610145)CaDiCaL version: 2.1.3
% 3.79/1.58  % (610145)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.58  % (610145)Time elapsed: 0.002 s
% 3.79/1.58  % (610145)Peak memory usage: 87 MB
% 3.79/1.58  % (610145)Instructions burned: 2 (million)
% 3.79/1.58  % (610146)Refutation not found, incomplete strategy
% 3.79/1.58  % (610146)------------------------------
% 3.79/1.58  % (610146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.58  % (610146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.58  % (610146)CaDiCaL version: 2.1.3
% 3.79/1.58  % (610146)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.58  % (610146)Time elapsed: 0.003 s
% 3.79/1.58  % (610146)Peak memory usage: 88 MB
% 3.79/1.58  % (610146)Instructions burned: 2 (million)
% 3.79/1.58  % (610148)Instruction limit reached! 
% 3.79/1.58  % (610148)------------------------------
% 3.79/1.58  % (610148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.58  % (610148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.58  % (610148)CaDiCaL version: 2.1.3
% 3.79/1.58  % (610148)Termination reason: Instruction limit
% 3.79/1.58  % (610148)Termination phase: Saturation
% 3.79/1.58  % (610148)Time elapsed: 0.068 s
% 3.79/1.58  % (610148)Peak memory usage: 91 MB
% 3.79/1.58  % (610148)Instructions burned: 129 (million)
% 3.79/1.58  % (610147)Instruction limit reached! 
% 3.79/1.58  % (610147)------------------------------
% 3.79/1.58  % (610147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.58  % (610147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.58  % (610147)CaDiCaL version: 2.1.3
% 3.79/1.58  % (610147)Termination reason: Instruction limit
% 3.79/1.58  % (610147)Termination phase: Saturation
% 3.79/1.58  % (610147)Time elapsed: 0.085 s
% 3.79/1.58  % (610147)Peak memory usage: 90 MB
% 3.79/1.58  % (610147)Instructions burned: 140 (million)
% 3.79/1.58  % (610156)lrs+10_1_sil=8000:sp=occurrence:random_seed=3024546640:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.79/1.58  % (610157)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3512593964:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.79/1.58  % (610157)Refutation not found, incomplete strategy
% 3.79/1.58  % (610157)------------------------------
% 3.79/1.58  % (610157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.58  % (610157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.58  % (610157)CaDiCaL version: 2.1.3
% 3.79/1.58  % (610157)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.58  % (610157)Time elapsed: 0.004 s
% 3.79/1.58  % (610157)Peak memory usage: 89 MB
% 3.79/1.58  % (610157)Instructions burned: 6 (million)
% 3.79/1.58  % (610145)------------------------------
% 3.79/1.58  % (610145)------------------------------
% 3.79/1.58  % (610146)------------------------------
% 3.79/1.58  % (610146)------------------------------
% 3.79/1.58  % (610156)First to succeed.
% 3.79/1.58  % (610156)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-610137"
% 3.79/1.58  % (610161)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=98551082:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.79/1.58  % (610161)Also succeeded, but the first one will report.
% 3.79/1.58  % (610160)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3996266569:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.79/1.58  % (610160)Refutation not found, incomplete strategy
% 3.79/1.58  % (610160)------------------------------
% 3.79/1.58  % (610160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.58  % (610160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.58  % (610160)CaDiCaL version: 2.1.3
% 3.79/1.58  % (610160)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.58  % (610160)Time elapsed: 0.004 s
% 3.79/1.58  % (610160)Peak memory usage: 89 MB
% 3.79/1.58  % (610160)Instructions burned: 3 (million)
% 3.79/1.58  % (610157)------------------------------
% 3.79/1.58  % (610157)------------------------------
% 3.79/1.58  % (610156)Refutation found. Thanks to Tanya!
% 3.79/1.58  % SZS status Theorem for theBenchmark
% 3.79/1.58  % SZS output start Proof for theBenchmark
% See solution above
% 5.64/1.78  % (610156)------------------------------
% 5.64/1.78  % (610156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.78  % (610156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.78  % (610156)CaDiCaL version: 2.1.3
% 5.64/1.78  % (610156)Termination reason: Refutation
% 5.64/1.78  % (610156)Time elapsed: 0.032 s
% 5.64/1.78  % (610156)Peak memory usage: 89 MB
% 5.64/1.78  % (610156)Instructions burned: 45 (million)
% 5.64/1.78  % (610156)------------------------------
% 5.64/1.78  % (610156)------------------------------
% 5.64/1.78  % (610137)Success in time 0.735 s
% 5.64/1.78  % Vampire exiting
%------------------------------------------------------------------------------