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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB089+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 : n004.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 3.55s 1.29s
% Output   : Refutation 5.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   55 (  25 unt;   0 def)
%            Number of atoms       :  223 (  12 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  272 ( 104   ~; 104   |;  52   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-3 aty)
%            Number of variables   :  109 ( 102   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_main) ).

fof(f159,axiom,
    ! [X0] :
      ( icext(uri_owl_Restriction,X0)
     => ic(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_restriction_ext) ).

fof(f235,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_onClass,X0,X1)
     => ( icext(uri_owl_Restriction,X0)
        & ic(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onclass_ext) ).

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(f343,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_maxqcr_cmp_class) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_x2,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c2,uri_ex_c1)
    & iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_x1,uri_ex_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_maxqcr_cmp_class) ).

fof(f572,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(flattening,[],[f560]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) ) )
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f618,plain,
    ! [X0] :
      ( ic(X0)
      | ~ icext(uri_owl_Restriction,X0) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f652,plain,
    ! [X0,X1] :
      ( ( icext(uri_owl_Restriction,X0)
        & ic(X1) )
      | ~ iext(uri_owl_onClass,X0,X1) ),
    inference(ennf_transformation,[],[f235]) ).

fof(f757,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(f758,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,[],[f757]) ).

fof(f791,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f1257,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,[],[f758]) ).

fof(f1258,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,[],[f1257]) ).

fof(f1259,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ( sK135(X1,X2,X3) != sK136(X1,X2,X3)
              & iext(X1,X3,sK135(X1,X2,X3))
              & icext(X2,sK135(X1,X2,X3))
              & iext(X1,X3,sK136(X1,X2,X3))
              & icext(X2,sK136(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,[sK135,sK136]),skolemize(X4,sK135(X1,X2,X3)),skolemize(X5,sK136(X1,X2,X3))],[f1258]) ).

fof(f1312,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f791]) ).

fof(f1313,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f1312]) ).

fof(f1314,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f1313]) ).

fof(f1315,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( ~ icext(X1,sK167(X0,X1))
          & icext(X0,sK167(X0,X1)) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK167]),skolemize(X2,sK167(X0,X1))],[f1314]) ).

fof(f1532,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X0,X2)
      | icext(X1,X2) ),
    inference(cnf_transformation,[],[f582]) ).

fof(f1652,plain,
    ! [X0] :
      ( ~ icext(uri_owl_Restriction,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f618]) ).

fof(f1761,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onClass,X0,X1)
      | icext(uri_owl_Restriction,X0) ),
    inference(cnf_transformation,[],[f652]) ).

fof(f2193,plain,
    ! [X2,X3,X0,X1,X6,X7] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(X1,X3,X6)
      | ~ icext(X2,X6)
      | ~ iext(X1,X3,X7)
      | ~ icext(X2,X7)
      | ~ icext(X0,X3)
      | X6 = X7
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f1259]) ).

fof(f2194,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | icext(X2,sK136(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f1259]) ).

fof(f2195,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | iext(X1,X3,sK136(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f1259]) ).

fof(f2196,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | icext(X2,sK135(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f1259]) ).

fof(f2197,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | iext(X1,X3,sK135(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f1259]) ).

fof(f2198,plain,
    ! [X2,X3,X0,X1] :
      ( sK135(X1,X2,X3) != sK136(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,[],[f1259]) ).

fof(f2313,plain,
    ! [X0,X1] :
      ( icext(X0,sK167(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f1315]) ).

fof(f2314,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK167(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f1315]) ).

fof(f2749,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(cnf_transformation,[],[f572]) ).

fof(f2750,plain,
    iext(uri_owl_onClass,uri_ex_x1,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f2751,plain,
    iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f2752,plain,
    iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f561]) ).

fof(f2753,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c2,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f2754,plain,
    iext(uri_owl_onClass,uri_ex_x2,uri_ex_c2),
    inference(cnf_transformation,[],[f561]) ).

fof(f2755,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f2756,plain,
    iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f561]) ).

fof(f2781,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(unit_resulting_resolution,[],[f1761,f2750]) ).

fof(f2782,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(unit_resulting_resolution,[],[f1761,f2754]) ).

fof(f2835,plain,
    ic(uri_ex_x1),
    inference(unit_resulting_resolution,[],[f1652,f2781]) ).

fof(f2836,plain,
    ic(uri_ex_x2),
    inference(unit_resulting_resolution,[],[f1652,f2782]) ).

fof(f2867,plain,
    ~ icext(uri_ex_x2,sK167(uri_ex_x1,uri_ex_x2)),
    inference(unit_resulting_resolution,[],[f2314,f2835,f2749,f2836]) ).

fof(f2869,plain,
    icext(uri_ex_x1,sK167(uri_ex_x1,uri_ex_x2)),
    inference(unit_resulting_resolution,[],[f2313,f2835,f2749,f2836]) ).

fof(f2878,plain,
    icext(uri_ex_c2,sK136(uri_ex_p,uri_ex_c2,sK167(uri_ex_x1,uri_ex_x2))),
    inference(unit_resulting_resolution,[],[f2194,f2754,f2755,f2756,f2867]) ).

fof(f2879,plain,
    iext(uri_ex_p,sK167(uri_ex_x1,uri_ex_x2),sK136(uri_ex_p,uri_ex_c2,sK167(uri_ex_x1,uri_ex_x2))),
    inference(unit_resulting_resolution,[],[f2195,f2754,f2755,f2756,f2867]) ).

fof(f2880,plain,
    icext(uri_ex_c2,sK135(uri_ex_p,uri_ex_c2,sK167(uri_ex_x1,uri_ex_x2))),
    inference(unit_resulting_resolution,[],[f2196,f2754,f2755,f2756,f2867]) ).

fof(f2881,plain,
    iext(uri_ex_p,sK167(uri_ex_x1,uri_ex_x2),sK135(uri_ex_p,uri_ex_c2,sK167(uri_ex_x1,uri_ex_x2))),
    inference(unit_resulting_resolution,[],[f2197,f2754,f2755,f2756,f2867]) ).

fof(f2882,plain,
    sK136(uri_ex_p,uri_ex_c2,sK167(uri_ex_x1,uri_ex_x2)) != sK135(uri_ex_p,uri_ex_c2,sK167(uri_ex_x1,uri_ex_x2)),
    inference(unit_resulting_resolution,[],[f2198,f2754,f2755,f2756,f2867]) ).

fof(f2916,plain,
    icext(uri_ex_c1,sK136(uri_ex_p,uri_ex_c2,sK167(uri_ex_x1,uri_ex_x2))),
    inference(unit_resulting_resolution,[],[f1532,f2753,f2878]) ).

fof(f2932,plain,
    icext(uri_ex_c1,sK135(uri_ex_p,uri_ex_c2,sK167(uri_ex_x1,uri_ex_x2))),
    inference(unit_resulting_resolution,[],[f1532,f2753,f2880]) ).

fof(f3038,plain,
    $false,
    inference(unit_resulting_resolution,[],[f2193,f2750,f2751,f2869,f2752,f2916,f2879,f2882,f2881,f2932]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB089+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n004.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 07:17:37 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 3.55/1.29  % (173119)Detected formulas, will run a generic FOF schedule.
% 3.55/1.29  % (173129)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2514224774:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.55/1.29  % (173128)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2289073913:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.55/1.29  % (173130)dis-21_1_sil=8000:lcm=predicate:random_seed=1909969178: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)
% 3.55/1.29  % (173125)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=2805430557:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.55/1.29  % (173127)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=206883151:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.55/1.29  % (173126)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=623484237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.55/1.29  % (173124)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=1461516267:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.55/1.29  % (173127)Refutation not found, incomplete strategy
% 3.55/1.29  % (173127)------------------------------
% 3.55/1.29  % (173127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29  % (173127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29  % (173127)CaDiCaL version: 2.1.3
% 3.55/1.29  % (173127)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.29  % (173127)Time elapsed: 0.003 s
% 3.55/1.29  % (173127)Peak memory usage: 88 MB
% 3.55/1.29  % (173127)Instructions burned: 2 (million)
% 3.55/1.29  % (173128)Instruction limit reached! 
% 3.55/1.29  % (173128)------------------------------
% 3.55/1.29  % (173128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29  % (173128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29  % (173128)CaDiCaL version: 2.1.3
% 3.55/1.29  % (173128)Termination reason: Instruction limit
% 3.55/1.29  % (173128)Termination phase: Saturation
% 3.55/1.29  % (173128)Time elapsed: 0.049 s
% 3.55/1.29  % (173128)Peak memory usage: 88 MB
% 3.55/1.29  % (173128)Instructions burned: 120 (million)
% 3.55/1.29  % (173130)Instruction limit reached! 
% 3.55/1.29  % (173130)------------------------------
% 3.55/1.29  % (173130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29  % (173130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29  % (173130)CaDiCaL version: 2.1.3
% 3.55/1.29  % (173130)Termination reason: Instruction limit
% 3.55/1.29  % (173130)Termination phase: Saturation
% 3.55/1.29  % (173130)Time elapsed: 0.066 s
% 3.55/1.29  % (173130)Peak memory usage: 92 MB
% 3.55/1.29  % (173130)Instructions burned: 129 (million)
% 3.55/1.29  % (173129)Instruction limit reached! 
% 3.55/1.29  % (173129)------------------------------
% 3.55/1.29  % (173129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29  % (173129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29  % (173129)CaDiCaL version: 2.1.3
% 3.55/1.29  % (173129)Termination reason: Instruction limit
% 3.55/1.29  % (173129)Termination phase: Saturation
% 3.55/1.29  % (173129)Time elapsed: 0.085 s
% 3.55/1.29  % (173129)Peak memory usage: 91 MB
% 3.55/1.29  % (173129)Instructions burned: 139 (million)
% 3.55/1.29  % (173138)lrs+10_1_sil=8000:sp=occurrence:random_seed=4057913812:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.55/1.29  % (173139)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2977693:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.55/1.29  % (173139)Refutation not found, incomplete strategy
% 3.55/1.29  % (173139)------------------------------
% 3.55/1.29  % (173139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29  % (173139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29  % (173139)CaDiCaL version: 2.1.3
% 3.55/1.29  % (173139)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.29  % (173139)Time elapsed: 0.004 s
% 3.55/1.29  % (173139)Peak memory usage: 89 MB
% 3.55/1.29  % (173139)Instructions burned: 6 (million)
% 3.55/1.29  % (173140)lrs+1011_1_sil=32000:sp=occurrence:random_seed=28395613:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.55/1.29  % (173127)------------------------------
% 3.55/1.29  % (173127)------------------------------
% 3.55/1.29  % (173140)Instruction limit reached! 
% 3.55/1.29  % (173140)------------------------------
% 3.55/1.29  % (173140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29  % (173140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29  % (173140)CaDiCaL version: 2.1.3
% 3.55/1.29  % (173140)Termination reason: Instruction limit
% 3.55/1.29  % (173140)Termination phase: Saturation
% 3.55/1.29  % (173140)Time elapsed: 0.121 s
% 3.55/1.29  % (173140)Peak memory usage: 88 MB
% 3.55/1.29  % (173140)Instructions burned: 328 (million)
% 3.55/1.29  % (173144)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=2004852674:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.55/1.29  % (173138)Instruction limit reached! 
% 3.55/1.29  % (173138)------------------------------
% 3.55/1.29  % (173138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29  % (173138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29  % (173138)CaDiCaL version: 2.1.3
% 3.55/1.29  % (173138)Termination reason: Instruction limit
% 3.55/1.29  % (173138)Termination phase: Saturation
% 3.55/1.29  % (173138)Time elapsed: 0.164 s
% 3.55/1.29  % (173138)Peak memory usage: 92 MB
% 3.55/1.29  % (173138)Instructions burned: 286 (million)
% 3.55/1.29  % (173144)First to succeed.
% 3.55/1.29  % (173144)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-173119"
% 3.55/1.29  % (173139)------------------------------
% 3.55/1.29  % (173139)------------------------------
% 3.55/1.29  % (173145)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2133502326:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.55/1.29  % (173147)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1831227036:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.55/1.29  % (173144)Refutation found. Thanks to Tanya!
% 3.55/1.29  % SZS status Theorem for theBenchmark
% 3.55/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 5.08/1.48  % (173144)------------------------------
% 5.08/1.48  % (173144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.48  % (173144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.48  % (173144)CaDiCaL version: 2.1.3
% 5.08/1.48  % (173144)Termination reason: Refutation
% 5.08/1.48  % (173144)Time elapsed: 0.029 s
% 5.08/1.48  % (173144)Peak memory usage: 90 MB
% 5.08/1.48  % (173144)Instructions burned: 99 (million)
% 5.08/1.48  % (173144)------------------------------
% 5.08/1.48  % (173144)------------------------------
% 5.08/1.48  % (173119)Success in time 0.678 s
% 5.08/1.48  % Vampire exiting
%------------------------------------------------------------------------------