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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB093+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 : n012.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 3.49s 1.08s
% Output   : Refutation 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   49 (  19 unt;   0 def)
%            Number of atoms       :  230 (   9 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  288 ( 107   ~; 101   |;  67   &)
%                                         (   8 <=>;   5  =>;   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    :   17 (  17 usr;  12 con; 0-3 aty)
%            Number of variables   :  119 ( 101   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,axiom,
    ! [X0] :
      ( icext(uri_owl_Restriction,X0)
     => ic(X0) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',owl_prop_onclass_ext) ).

fof(f337,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_minQualifiedCardinality,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] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).

fof(f338,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_2,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)
              & X4 != X5 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_002) ).

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/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_minqcr_cmp_card) ).

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_minQualifiedCardinality,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_c)
    & iext(uri_owl_minQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_x1,uri_ex_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_minqcr_cmp_card) ).

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

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(f781,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(ennf_transformation,[],[f337]) ).

fof(f782,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(flattening,[],[f781]) ).

fof(f783,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4,X5] :
              ( iext(X1,X3,X4)
              & icext(X2,X4)
              & iext(X1,X3,X5)
              & icext(X2,X5)
              & X4 != X5 ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(ennf_transformation,[],[f338]) ).

fof(f784,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4,X5] :
              ( iext(X1,X3,X4)
              & icext(X2,X4)
              & iext(X1,X3,X5)
              & icext(X2,X5)
              & X4 != X5 ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(flattening,[],[f783]) ).

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(f1290,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4) ) )
          & ( ? [X4] :
                ( iext(X1,X3,X4)
                & icext(X2,X4) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(nnf_transformation,[],[f782]) ).

fof(f1291,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4) ) )
          & ( ? [X5] :
                ( iext(X1,X3,X5)
                & icext(X2,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(rectify,[],[f1290]) ).

fof(f1292,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4) ) )
          & ( ( iext(X1,X3,sK156(X1,X2,X3))
              & icext(X2,sK156(X1,X2,X3)) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,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,[sK156]),skolemize(X5,sK156(X1,X2,X3))],[f1291]) ).

fof(f1293,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4,X5] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4)
                | ~ iext(X1,X3,X5)
                | ~ icext(X2,X5)
                | X4 = X5 ) )
          & ( ? [X4,X5] :
                ( iext(X1,X3,X4)
                & icext(X2,X4)
                & iext(X1,X3,X5)
                & icext(X2,X5)
                & X4 != X5 )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(nnf_transformation,[],[f784]) ).

fof(f1294,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4,X5] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4)
                | ~ iext(X1,X3,X5)
                | ~ icext(X2,X5)
                | X4 = X5 ) )
          & ( ? [X6,X7] :
                ( iext(X1,X3,X6)
                & icext(X2,X6)
                & iext(X1,X3,X7)
                & icext(X2,X7)
                & X6 != X7 )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(rectify,[],[f1293]) ).

fof(f1295,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4,X5] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4)
                | ~ iext(X1,X3,X5)
                | ~ icext(X2,X5)
                | X4 = X5 ) )
          & ( ( iext(X1,X3,sK157(X1,X2,X3))
              & icext(X2,sK157(X1,X2,X3))
              & iext(X1,X3,sK158(X1,X2,X3))
              & icext(X2,sK158(X1,X2,X3))
              & sK157(X1,X2,X3) != sK158(X1,X2,X3) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK157,sK158]),skolemize(X6,sK157(X1,X2,X3)),skolemize(X7,sK158(X1,X2,X3))],[f1294]) ).

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(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(f2277,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(X1,X3,X4)
      | ~ icext(X2,X4)
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f1292]) ).

fof(f2279,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
      | ~ icext(X0,X3)
      | icext(X2,sK158(X1,X2,X3))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f1295]) ).

fof(f2280,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
      | ~ icext(X0,X3)
      | iext(X1,X3,sK158(X1,X2,X3))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2) ),
    inference(cnf_transformation,[],[f1295]) ).

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_c),
    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_minQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f561]) ).

fof(f2753,plain,
    iext(uri_owl_onClass,uri_ex_x2,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f2754,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f2755,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f561]) ).

fof(f2768,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(unit_resulting_resolution,[],[f1761,f2750]) ).

fof(f2769,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(unit_resulting_resolution,[],[f1761,f2753]) ).

fof(f2791,plain,
    ic(uri_ex_x1),
    inference(unit_resulting_resolution,[],[f1652,f2768]) ).

fof(f2792,plain,
    ic(uri_ex_x2),
    inference(unit_resulting_resolution,[],[f1652,f2769]) ).

fof(f2817,plain,
    ~ icext(uri_ex_x2,sK167(uri_ex_x1,uri_ex_x2)),
    inference(unit_resulting_resolution,[],[f2314,f2791,f2749,f2792]) ).

fof(f2818,plain,
    icext(uri_ex_x1,sK167(uri_ex_x1,uri_ex_x2)),
    inference(unit_resulting_resolution,[],[f2313,f2791,f2749,f2792]) ).

fof(f2829,plain,
    icext(uri_ex_c,sK158(uri_ex_p,uri_ex_c,sK167(uri_ex_x1,uri_ex_x2))),
    inference(unit_resulting_resolution,[],[f2279,f2750,f2751,f2752,f2818]) ).

fof(f2830,plain,
    iext(uri_ex_p,sK167(uri_ex_x1,uri_ex_x2),sK158(uri_ex_p,uri_ex_c,sK167(uri_ex_x1,uri_ex_x2))),
    inference(unit_resulting_resolution,[],[f2280,f2750,f2751,f2752,f2818]) ).

fof(f2865,plain,
    $false,
    inference(unit_resulting_resolution,[],[f2277,f2753,f2754,f2817,f2755,f2829,f2830]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWB093+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31  % Computer : n012.cluster.edu
% 0.04/0.31  % Model    : x86_64 x86_64
% 0.04/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31  % Memory   : 8046.5625MB
% 0.04/0.31  % OS       : Linux 6.8.0-71-generic
% 0.04/0.31  % CPULimit : 300
% 0.04/0.31  % WCLimit  : 300
% 0.04/0.31  % DateTime : Mon Sep 28 07:19:19 UTC 2026
% 0.04/0.31  % CPUTime  : 
% 0.04/0.31  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33  Running first-order theorem proving
% 0.07/0.33  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
% 3.49/1.07  % (3209089)Detected formulas, will run a generic FOF schedule.
% 3.49/1.07  % (3209098)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1901090853:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.49/1.07  % (3209096)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=2100332096:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.49/1.07  % (3209099)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=413655748:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.49/1.07  % (3209094)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=3960207807:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.49/1.07  % (3209100)dis-21_1_sil=8000:lcm=predicate:random_seed=737823691: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)
% 3.49/1.07  % (3209097)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=39412907:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.49/1.07  % (3209095)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=1748250871:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.49/1.07  % (3209097)Refutation not found, incomplete strategy
% 3.49/1.07  % (3209097)------------------------------
% 3.49/1.07  % (3209097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.07  % (3209097)CaDiCaL version: 2.1.3
% 3.49/1.07  % (3209097)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.07  % (3209097)Time elapsed: 0.001 s
% 3.49/1.07  % (3209097)Peak memory usage: 88 MB
% 3.49/1.07  % (3209097)Instructions burned: 2 (million)
% 3.49/1.07  % (3209098)Instruction limit reached! 
% 3.49/1.07  % (3209098)------------------------------
% 3.49/1.07  % (3209098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.07  % (3209098)CaDiCaL version: 2.1.3
% 3.49/1.07  % (3209098)Termination reason: Instruction limit
% 3.49/1.07  % (3209098)Termination phase: Saturation
% 3.49/1.07  % (3209098)Time elapsed: 0.026 s
% 3.49/1.07  % (3209098)Peak memory usage: 88 MB
% 3.49/1.07  % (3209098)Instructions burned: 122 (million)
% 3.49/1.07  % (3209100)Instruction limit reached! 
% 3.49/1.07  % (3209100)------------------------------
% 3.49/1.07  % (3209100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.07  % (3209100)CaDiCaL version: 2.1.3
% 3.49/1.07  % (3209100)Termination reason: Instruction limit
% 3.49/1.07  % (3209100)Termination phase: Saturation
% 3.49/1.07  % (3209100)Time elapsed: 0.037 s
% 3.49/1.07  % (3209100)Peak memory usage: 91 MB
% 3.49/1.07  % (3209100)Instructions burned: 131 (million)
% 3.49/1.07  % (3209099)Instruction limit reached! 
% 3.49/1.07  % (3209099)------------------------------
% 3.49/1.07  % (3209099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.07  % (3209099)CaDiCaL version: 2.1.3
% 3.49/1.07  % (3209099)Termination reason: Instruction limit
% 3.49/1.07  % (3209099)Termination phase: Saturation
% 3.49/1.07  % (3209099)Time elapsed: 0.048 s
% 3.49/1.07  % (3209099)Peak memory usage: 91 MB
% 3.49/1.07  % (3209099)Instructions burned: 140 (million)
% 3.49/1.07  % (3209108)lrs+10_1_sil=8000:sp=occurrence:random_seed=2918085198:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.49/1.07  % (3209109)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2053366012:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.49/1.07  % (3209109)Refutation not found, incomplete strategy
% 3.49/1.07  % (3209109)------------------------------
% 3.49/1.07  % (3209109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.07  % (3209109)CaDiCaL version: 2.1.3
% 3.49/1.07  % (3209109)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.07  % (3209109)Time elapsed: 0.002 s
% 3.49/1.07  % (3209109)Peak memory usage: 89 MB
% 3.49/1.07  % (3209109)Instructions burned: 6 (million)
% 3.49/1.07  % (3209110)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4237611507:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 3.49/1.07  % (3209097)------------------------------
% 3.49/1.07  % (3209097)------------------------------
% 3.49/1.07  % (3209108)Instruction limit reached! 
% 3.49/1.07  % (3209108)------------------------------
% 3.49/1.07  % (3209108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.07  % (3209108)CaDiCaL version: 2.1.3
% 3.49/1.07  % (3209108)Termination reason: Instruction limit
% 3.49/1.07  % (3209108)Termination phase: Saturation
% 3.49/1.07  % (3209108)Time elapsed: 0.081 s
% 3.49/1.07  % (3209108)Peak memory usage: 92 MB
% 3.49/1.07  % (3209108)Instructions burned: 288 (million)
% 3.49/1.07  % (3209110)Instruction limit reached! 
% 3.49/1.07  % (3209110)------------------------------
% 3.49/1.07  % (3209110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.07  % (3209110)CaDiCaL version: 2.1.3
% 3.49/1.07  % (3209110)Termination reason: Instruction limit
% 3.49/1.07  % (3209110)Termination phase: Saturation
% 3.49/1.07  % (3209110)Time elapsed: 0.063 s
% 3.49/1.07  % (3209110)Peak memory usage: 88 MB
% 3.49/1.07  % (3209110)Instructions burned: 330 (million)
% 3.49/1.07  % (3209114)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=1763482031:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.49/1.07  % (3209114)First to succeed.
% 3.49/1.07  % (3209114)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3209089"
% 3.49/1.07  % (3209109)------------------------------
% 3.49/1.07  % (3209109)------------------------------
% 3.49/1.07  % (3209115)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3083845761:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.49/1.07  % (3209116)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2668120881:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 3.49/1.07  % (3209115)Instruction limit reached! 
% 3.49/1.07  % (3209115)------------------------------
% 3.49/1.07  % (3209115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.07  % (3209115)CaDiCaL version: 2.1.3
% 3.49/1.07  % (3209115)Termination reason: Instruction limit
% 3.49/1.07  % (3209115)Termination phase: Saturation
% 3.49/1.07  % (3209115)Time elapsed: 0.084 s
% 3.49/1.07  % (3209115)Peak memory usage: 91 MB
% 3.49/1.07  % (3209115)Instructions burned: 295 (million)
% 3.49/1.07  % (3209119)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2414429719:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 3.49/1.07  % (3209095)Also succeeded, but the first one will report.
% 3.49/1.07  % (3209119)Instruction limit reached! 
% 3.49/1.07  % (3209119)------------------------------
% 3.49/1.07  % (3209119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.07  % (3209119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.08  % (3209119)CaDiCaL version: 2.1.3
% 3.49/1.08  % (3209119)Termination reason: Instruction limit
% 3.49/1.08  % (3209119)Termination phase: Saturation
% 3.49/1.08  % (3209119)Time elapsed: 0.037 s
% 3.49/1.08  % (3209119)Peak memory usage: 90 MB
% 3.49/1.08  % (3209119)Instructions burned: 114 (million)
% 3.49/1.08  % (3209114)Refutation found. Thanks to Tanya!
% 3.49/1.08  % SZS status Theorem for theBenchmark
% 3.49/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 4.01/1.17  % (3209114)------------------------------
% 4.01/1.17  % (3209114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.17  % (3209114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.17  % (3209114)CaDiCaL version: 2.1.3
% 4.01/1.17  % (3209114)Termination reason: Refutation
% 4.01/1.17  % (3209114)Time elapsed: 0.020 s
% 4.01/1.17  % (3209114)Peak memory usage: 90 MB
% 4.01/1.17  % (3209114)Instructions burned: 62 (million)
% 4.01/1.17  % (3209114)------------------------------
% 4.01/1.17  % (3209114)------------------------------
% 4.01/1.17  % (3209089)Success in time 0.549 s
% 4.01/1.17  % Vampire exiting
%------------------------------------------------------------------------------