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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB047+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 : n003.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 01:00:18 PM UTC 2026

% Result   : Theorem 3.54s 1.22s
% Output   : Refutation 3.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   55 (  14 unt;   0 def)
%            Number of atoms       :  243 (  28 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  292 ( 104   ~; 110   |;  66   &)
%                                         (   9 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  129 ( 105   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f219,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_inverseOf,X0,X1)
     => ( ip(X0)
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).

fof(f391,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_inverseOf,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ( iext(X0,X2,X3)
          <=> iext(X1,X3,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).

fof(f393,axiom,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( ( iext(X0,X1,X2)
              & iext(X0,X1,X3) )
           => X2 = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).

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

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_inversefunc_term) ).

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

fof(f561,axiom,
    ( iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1)
    & iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_inversefunc_term) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f560]) ).

fof(f565,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(f566,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(flattening,[],[f565]) ).

fof(f569,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X2 = X3
            | ~ iext(X0,X1,X2)
            | ~ iext(X0,X1,X3) ) ) ),
    inference(ennf_transformation,[],[f393]) ).

fof(f570,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X2 = X3
            | ~ iext(X0,X1,X2)
            | ~ iext(X0,X1,X3) ) ) ),
    inference(flattening,[],[f569]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( ( ip(X0)
        & ip(X1) )
      | ~ iext(uri_owl_inverseOf,X0,X1) ),
    inference(ennf_transformation,[],[f219]) ).

fof(f573,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(f574,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,[],[f566]) ).

fof(f575,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,[],[f574]) ).

fof(f576,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,[],[f575]) ).

fof(f577,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ( sK0(X0) != sK1(X0)
          & iext(X0,sK0(X0),sK2(X0))
          & iext(X0,sK1(X0),sK2(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,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f576]) ).

fof(f578,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X2)
            & iext(X0,X1,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X2 = X3
              | ~ iext(X0,X1,X2)
              | ~ iext(X0,X1,X3) ) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f570]) ).

fof(f579,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X2)
            & iext(X0,X1,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X2 = X3
              | ~ iext(X0,X1,X2)
              | ~ iext(X0,X1,X3) ) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(flattening,[],[f578]) ).

fof(f580,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X2)
            & iext(X0,X1,X3) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X5 = X6
              | ~ iext(X0,X4,X5)
              | ~ iext(X0,X4,X6) ) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(rectify,[],[f579]) ).

fof(f581,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ~ ip(X0)
        | ( sK4(X0) != sK5(X0)
          & iext(X0,sK3(X0),sK4(X0))
          & iext(X0,sK3(X0),sK5(X0)) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X5 = X6
              | ~ iext(X0,X4,X5)
              | ~ iext(X0,X4,X6) ) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0)),skolemize(X3,sK5(X0))],[f580]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X2,X3) )
            & ( iext(X1,X3,X2)
              | iext(X0,X2,X3) ) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( ( iext(X0,X2,X3)
                | ~ iext(X1,X3,X2) )
              & ( iext(X1,X3,X2)
                | ~ iext(X0,X2,X3) ) ) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f391]) ).

fof(f583,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X2,X3) )
            & ( iext(X1,X3,X2)
              | iext(X0,X2,X3) ) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( ( iext(X0,X2,X3)
                | ~ iext(X1,X3,X2) )
              & ( iext(X1,X3,X2)
                | ~ iext(X0,X2,X3) ) ) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(flattening,[],[f582]) ).

fof(f584,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X2,X3) )
            & ( iext(X1,X3,X2)
              | iext(X0,X2,X3) ) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( ( iext(X0,X4,X5)
                | ~ iext(X1,X5,X4) )
              & ( iext(X1,X5,X4)
                | ~ iext(X0,X4,X5) ) ) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(rectify,[],[f583]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ( ( ~ iext(X1,sK7(X0,X1),sK6(X0,X1))
            | ~ iext(X0,sK6(X0,X1),sK7(X0,X1)) )
          & ( iext(X1,sK7(X0,X1),sK6(X0,X1))
            | iext(X0,sK6(X0,X1),sK7(X0,X1)) ) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( ( iext(X0,X4,X5)
                | ~ iext(X1,X5,X4) )
              & ( iext(X1,X5,X4)
                | ~ iext(X0,X4,X5) ) ) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1))],[f584]) ).

fof(f586,plain,
    ~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f562]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f573]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f573]) ).

fof(f591,plain,
    ! [X0] :
      ( iext(X0,sK1(X0),sK2(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f592,plain,
    ! [X0] :
      ( iext(X0,sK0(X0),sK2(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f593,plain,
    ! [X0] :
      ( sK0(X0) != sK1(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f595,plain,
    iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f596,plain,
    iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
    inference(cnf_transformation,[],[f561]) ).

fof(f598,plain,
    ! [X0,X6,X4,X5] :
      ( ~ iext(X0,X4,X6)
      | ~ iext(X0,X4,X5)
      | X5 = X6
      | ~ icext(uri_owl_FunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f581]) ).

fof(f604,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | ~ iext(X0,X4,X5)
      | iext(X1,X5,X4) ),
    inference(cnf_transformation,[],[f585]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f572]) ).

fof(f616,plain,
    ip(uri_ex_p2),
    inference(resolution,[],[f612,f596]) ).

fof(f617,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_p1),
    inference(resolution,[],[f587,f595]) ).

fof(f618,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p2),
    inference(resolution,[],[f588,f586]) ).

fof(f705,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p2,X0,X1)
      | iext(uri_ex_p1,X1,X0) ),
    inference(resolution,[],[f604,f596]) ).

fof(f807,plain,
    ( iext(uri_ex_p1,sK2(uri_ex_p2),sK1(uri_ex_p2))
    | ~ ip(uri_ex_p2)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
    inference(resolution,[],[f705,f591]) ).

fof(f808,plain,
    ( iext(uri_ex_p1,sK2(uri_ex_p2),sK0(uri_ex_p2))
    | ~ ip(uri_ex_p2)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
    inference(resolution,[],[f705,f592]) ).

fof(f817,plain,
    ( iext(uri_ex_p1,sK2(uri_ex_p2),sK0(uri_ex_p2))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
    inference(forward_subsumption_resolution,[],[f808,f616]) ).

fof(f818,plain,
    ( iext(uri_ex_p1,sK2(uri_ex_p2),sK1(uri_ex_p2))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
    inference(forward_subsumption_resolution,[],[f807,f616]) ).

fof(f823,plain,
    iext(uri_ex_p1,sK2(uri_ex_p2),sK0(uri_ex_p2)),
    inference(forward_subsumption_resolution,[],[f817,f618]) ).

fof(f824,plain,
    iext(uri_ex_p1,sK2(uri_ex_p2),sK1(uri_ex_p2)),
    inference(forward_subsumption_resolution,[],[f818,f618]) ).

fof(f879,plain,
    ! [X0] :
      ( ~ iext(uri_ex_p1,sK2(uri_ex_p2),X0)
      | sK0(uri_ex_p2) = X0
      | ~ icext(uri_owl_FunctionalProperty,uri_ex_p1) ),
    inference(resolution,[],[f823,f598]) ).

fof(f890,plain,
    ! [X0] :
      ( ~ iext(uri_ex_p1,sK2(uri_ex_p2),X0)
      | sK0(uri_ex_p2) = X0 ),
    inference(forward_subsumption_resolution,[],[f879,f617]) ).

fof(f896,plain,
    sK1(uri_ex_p2) = sK0(uri_ex_p2),
    inference(resolution,[],[f890,f824]) ).

fof(f899,plain,
    ( sK0(uri_ex_p2) != sK0(uri_ex_p2)
    | ~ ip(uri_ex_p2)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
    inference(superposition,[],[f593,f896]) ).

fof(f900,plain,
    ( ~ ip(uri_ex_p2)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
    inference(trivial_inequality_removal,[],[f899]) ).

fof(f901,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_ex_p2),
    inference(forward_subsumption_resolution,[],[f900,f616]) ).

fof(f902,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f901,f618]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB047+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  % Computer : n003.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Mon Sep 28 07:12:57 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47  Running first-order theorem proving
% 0.15/0.47  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
% 2.74/1.12  % (1399203)Detected formulas, will run a generic FOF schedule.
% 2.74/1.12  % (1399214)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3419235636:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.74/1.12  % (1399213)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=110066166:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.74/1.12  % (1399215)dis-21_1_sil=8000:lcm=predicate:random_seed=2332953838: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)
% 2.74/1.12  % (1399212)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2296730250:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.74/1.12  % (1399209)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=1884101434:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.74/1.12  % (1399210)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=2785896919:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.74/1.13  % (1399211)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=2051612640:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.74/1.13  % (1399212)Refutation not found, incomplete strategy
% 2.74/1.13  % (1399212)------------------------------
% 2.74/1.13  % (1399212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.13  % (1399212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.13  % (1399212)CaDiCaL version: 2.1.3
% 2.74/1.13  % (1399212)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.13  % (1399212)Time elapsed: 0.002 s
% 2.74/1.13  % (1399212)Peak memory usage: 88 MB
% 2.74/1.13  % (1399212)Instructions burned: 2 (million)
% 2.74/1.13  % (1399213)Refutation not found, incomplete strategy
% 2.74/1.13  % (1399213)------------------------------
% 2.74/1.13  % (1399213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.13  % (1399213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.13  % (1399213)CaDiCaL version: 2.1.3
% 2.74/1.13  % (1399213)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.13  % (1399213)Time elapsed: 0.003 s
% 2.74/1.13  % (1399213)Peak memory usage: 88 MB
% 2.74/1.13  % (1399213)Instructions burned: 2 (million)
% 2.74/1.13  % (1399214)Instruction limit reached! 
% 2.74/1.13  % (1399214)------------------------------
% 2.74/1.13  % (1399214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.13  % (1399214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.13  % (1399214)CaDiCaL version: 2.1.3
% 2.74/1.13  % (1399214)Termination reason: Instruction limit
% 2.74/1.13  % (1399214)Termination phase: Saturation
% 2.74/1.13  % (1399214)Time elapsed: 0.045 s
% 2.74/1.13  % (1399214)Peak memory usage: 91 MB
% 2.74/1.13  % (1399214)Instructions burned: 139 (million)
% 2.74/1.13  % (1399215)Instruction limit reached! 
% 2.74/1.13  % (1399215)------------------------------
% 2.74/1.13  % (1399215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.13  % (1399215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.13  % (1399215)CaDiCaL version: 2.1.3
% 2.74/1.13  % (1399215)Termination reason: Instruction limit
% 2.74/1.13  % (1399215)Termination phase: Saturation
% 2.74/1.13  % (1399215)Time elapsed: 0.068 s
% 2.74/1.13  % (1399215)Peak memory usage: 91 MB
% 2.74/1.13  % (1399215)Instructions burned: 131 (million)
% 2.74/1.13  % (1399223)lrs+10_1_sil=8000:sp=occurrence:random_seed=1930479192:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.74/1.13  % (1399223)First to succeed.
% 2.74/1.13  % (1399223)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1399203"
% 2.74/1.13  % (1399234)lrs+10_1_sil=32000:urr=on:br=off:random_seed=67005177:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.74/1.13  % (1399234)Refutation not found, incomplete strategy
% 2.74/1.13  % (1399234)------------------------------
% 2.74/1.13  % (1399234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.13  % (1399234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.22  % (1399234)CaDiCaL version: 2.1.3
% 3.54/1.22  % (1399234)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.22  % (1399234)Time elapsed: 0.004 s
% 3.54/1.22  % (1399234)Peak memory usage: 89 MB
% 3.54/1.22  % (1399234)Instructions burned: 6 (million)
% 3.54/1.22  % (1399213)------------------------------
% 3.54/1.22  % (1399213)------------------------------
% 3.54/1.22  % (1399212)------------------------------
% 3.54/1.22  % (1399212)------------------------------
% 3.54/1.22  % (1399223)Refutation found. Thanks to Tanya!
% 3.54/1.22  % SZS status Theorem for theBenchmark
% 3.54/1.22  % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.22  % (1399223)------------------------------
% 3.54/1.22  % (1399223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.22  % (1399223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.22  % (1399223)CaDiCaL version: 2.1.3
% 3.54/1.22  % (1399223)Termination reason: Refutation
% 3.54/1.22  % (1399223)Time elapsed: 0.005 s
% 3.54/1.22  % (1399223)Peak memory usage: 89 MB
% 3.54/1.22  % (1399223)Instructions burned: 11 (million)
% 3.54/1.22  % (1399223)------------------------------
% 3.54/1.22  % (1399223)------------------------------
% 3.54/1.22  % (1399203)Success in time 0.442 s
% 3.54/1.22  % Vampire exiting
%------------------------------------------------------------------------------