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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU257+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 12:48:02 PM UTC 2026

% Result   : Theorem 2.54s 1.26s
% Output   : Refutation 3.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   97 (  17 unt;   6 def)
%            Number of atoms       :  266 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  292 ( 123   ~; 121   |;  24   &)
%                                         (   8 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   7 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   64 (   0 sgn  60   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_ordering(X0)
      <=> ( reflexive(X0)
          & transitive(X0)
          & antisymmetric(X0)
          & connected(X0)
          & well_founded_relation(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).

fof(f223,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( reflexive(X1)
       => reflexive(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_wellord1) ).

fof(f226,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( connected(X1)
       => connected(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_wellord1) ).

fof(f228,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( transitive(X1)
       => transitive(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).

fof(f230,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( antisymmetric(X1)
       => antisymmetric(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_wellord1) ).

fof(f239,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( well_founded_relation(X1)
       => well_founded_relation(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_wellord1) ).

fof(f241,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ( well_ordering(X1)
       => well_ordering(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_wellord1) ).

fof(f242,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ( well_ordering(X1)
         => well_ordering(relation_restriction(X1,X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f241]) ).

fof(f372,plain,
    ! [X0] :
      ( ( well_ordering(X0)
      <=> ( reflexive(X0)
          & transitive(X0)
          & antisymmetric(X0)
          & connected(X0)
          & well_founded_relation(X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( reflexive(relation_restriction(X1,X0))
      | ~ reflexive(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f223]) ).

fof(f522,plain,
    ! [X0,X1] :
      ( reflexive(relation_restriction(X1,X0))
      | ~ reflexive(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f521]) ).

fof(f527,plain,
    ! [X0,X1] :
      ( connected(relation_restriction(X1,X0))
      | ~ connected(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f226]) ).

fof(f528,plain,
    ! [X0,X1] :
      ( connected(relation_restriction(X1,X0))
      | ~ connected(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f527]) ).

fof(f531,plain,
    ! [X0,X1] :
      ( transitive(relation_restriction(X1,X0))
      | ~ transitive(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f228]) ).

fof(f532,plain,
    ! [X0,X1] :
      ( transitive(relation_restriction(X1,X0))
      | ~ transitive(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f531]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( antisymmetric(relation_restriction(X1,X0))
      | ~ antisymmetric(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f230]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( antisymmetric(relation_restriction(X1,X0))
      | ~ antisymmetric(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f535]) ).

fof(f545,plain,
    ! [X0,X1] :
      ( well_founded_relation(relation_restriction(X1,X0))
      | ~ well_founded_relation(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f239]) ).

fof(f546,plain,
    ! [X0,X1] :
      ( well_founded_relation(relation_restriction(X1,X0))
      | ~ well_founded_relation(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f545]) ).

fof(f549,plain,
    ? [X0,X1] :
      ( ~ well_ordering(relation_restriction(X1,X0))
      & well_ordering(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f242]) ).

fof(f550,plain,
    ? [X0,X1] :
      ( ~ well_ordering(relation_restriction(X1,X0))
      & well_ordering(X1)
      & relation(X1) ),
    inference(flattening,[],[f549]) ).

fof(f738,plain,
    ! [X0] :
      ( ( ( well_ordering(X0)
          | ~ reflexive(X0)
          | ~ transitive(X0)
          | ~ antisymmetric(X0)
          | ~ connected(X0)
          | ~ well_founded_relation(X0) )
        & ( ( reflexive(X0)
            & transitive(X0)
            & antisymmetric(X0)
            & connected(X0)
            & well_founded_relation(X0) )
          | ~ well_ordering(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f372]) ).

fof(f739,plain,
    ! [X0] :
      ( ( ( well_ordering(X0)
          | ~ reflexive(X0)
          | ~ transitive(X0)
          | ~ antisymmetric(X0)
          | ~ connected(X0)
          | ~ well_founded_relation(X0) )
        & ( ( reflexive(X0)
            & transitive(X0)
            & antisymmetric(X0)
            & connected(X0)
            & well_founded_relation(X0) )
          | ~ well_ordering(X0) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f738]) ).

fof(f830,plain,
    ( ~ well_ordering(relation_restriction(sK109,sK108))
    & well_ordering(sK109)
    & relation(sK109) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK108,sK109]),skolemize(X0,sK108),skolemize(X1,sK109)],[f550]) ).

fof(f1067,plain,
    ! [X0] :
      ( well_founded_relation(X0)
      | ~ well_ordering(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f739]) ).

fof(f1068,plain,
    ! [X0] :
      ( connected(X0)
      | ~ well_ordering(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f739]) ).

fof(f1069,plain,
    ! [X0] :
      ( antisymmetric(X0)
      | ~ well_ordering(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f739]) ).

fof(f1070,plain,
    ! [X0] :
      ( transitive(X0)
      | ~ well_ordering(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f739]) ).

fof(f1071,plain,
    ! [X0] :
      ( reflexive(X0)
      | ~ well_ordering(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f739]) ).

fof(f1072,plain,
    ! [X0] :
      ( well_ordering(X0)
      | ~ reflexive(X0)
      | ~ transitive(X0)
      | ~ antisymmetric(X0)
      | ~ connected(X0)
      | ~ well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f739]) ).

fof(f1143,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f395]) ).

fof(f1364,plain,
    ! [X0,X1] :
      ( reflexive(relation_restriction(X1,X0))
      | ~ reflexive(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f522]) ).

fof(f1367,plain,
    ! [X0,X1] :
      ( connected(relation_restriction(X1,X0))
      | ~ connected(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f528]) ).

fof(f1369,plain,
    ! [X0,X1] :
      ( transitive(relation_restriction(X1,X0))
      | ~ transitive(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f532]) ).

fof(f1372,plain,
    ! [X0,X1] :
      ( antisymmetric(relation_restriction(X1,X0))
      | ~ antisymmetric(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f536]) ).

fof(f1384,plain,
    ! [X0,X1] :
      ( well_founded_relation(relation_restriction(X1,X0))
      | ~ well_founded_relation(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f546]) ).

fof(f1388,plain,
    relation(sK109),
    inference(cnf_transformation,[],[f830]) ).

fof(f1389,plain,
    well_ordering(sK109),
    inference(cnf_transformation,[],[f830]) ).

fof(f1390,plain,
    ~ well_ordering(relation_restriction(sK109,sK108)),
    inference(cnf_transformation,[],[f830]) ).

fof(f1648,plain,
    ( ~ reflexive(relation_restriction(sK109,sK108))
    | ~ transitive(relation_restriction(sK109,sK108))
    | ~ antisymmetric(relation_restriction(sK109,sK108))
    | ~ connected(relation_restriction(sK109,sK108))
    | ~ well_founded_relation(relation_restriction(sK109,sK108))
    | ~ relation(relation_restriction(sK109,sK108)) ),
    inference(resolution,[],[f1072,f1390]) ).

fof(f1650,definition,
    ( spl123_3
  <=> relation(relation_restriction(sK109,sK108)) ),
    introduced(definition,[new_symbols(definition,[spl123_3])],[avatar_definition]) ).

fof(f1652,plain,
    ( ~ relation(relation_restriction(sK109,sK108))
    | spl123_3 ),
    inference(avatar_component_clause,[],[f1650]) ).

fof(f1654,definition,
    ( spl123_4
  <=> well_founded_relation(relation_restriction(sK109,sK108)) ),
    introduced(definition,[new_symbols(definition,[spl123_4])],[avatar_definition]) ).

fof(f1656,plain,
    ( ~ well_founded_relation(relation_restriction(sK109,sK108))
    | spl123_4 ),
    inference(avatar_component_clause,[],[f1654]) ).

fof(f1658,definition,
    ( spl123_5
  <=> connected(relation_restriction(sK109,sK108)) ),
    introduced(definition,[new_symbols(definition,[spl123_5])],[avatar_definition]) ).

fof(f1660,plain,
    ( ~ connected(relation_restriction(sK109,sK108))
    | spl123_5 ),
    inference(avatar_component_clause,[],[f1658]) ).

fof(f1662,definition,
    ( spl123_6
  <=> antisymmetric(relation_restriction(sK109,sK108)) ),
    introduced(definition,[new_symbols(definition,[spl123_6])],[avatar_definition]) ).

fof(f1664,plain,
    ( ~ antisymmetric(relation_restriction(sK109,sK108))
    | spl123_6 ),
    inference(avatar_component_clause,[],[f1662]) ).

fof(f1666,definition,
    ( spl123_7
  <=> transitive(relation_restriction(sK109,sK108)) ),
    introduced(definition,[new_symbols(definition,[spl123_7])],[avatar_definition]) ).

fof(f1668,plain,
    ( ~ transitive(relation_restriction(sK109,sK108))
    | spl123_7 ),
    inference(avatar_component_clause,[],[f1666]) ).

fof(f1670,definition,
    ( spl123_8
  <=> reflexive(relation_restriction(sK109,sK108)) ),
    introduced(definition,[new_symbols(definition,[spl123_8])],[avatar_definition]) ).

fof(f1672,plain,
    ( ~ reflexive(relation_restriction(sK109,sK108))
    | spl123_8 ),
    inference(avatar_component_clause,[],[f1670]) ).

fof(f1673,plain,
    ( ~ spl123_3
    | ~ spl123_4
    | ~ spl123_5
    | ~ spl123_6
    | ~ spl123_7
    | ~ spl123_8 ),
    inference(avatar_split_clause,[],[f1648,f1670,f1666,f1662,f1658,f1654,f1650]) ).

fof(f1674,plain,
    ( ~ relation(sK109)
    | spl123_3 ),
    inference(resolution,[],[f1652,f1143]) ).

fof(f1675,plain,
    ( $false
    | spl123_3 ),
    inference(forward_subsumption_resolution,[],[f1674,f1388]) ).

fof(f1676,plain,
    spl123_3,
    inference(avatar_contradiction_clause,[],[f1675]) ).

fof(f1679,plain,
    ( ~ well_founded_relation(sK109)
    | ~ relation(sK109)
    | spl123_4 ),
    inference(resolution,[],[f1656,f1384]) ).

fof(f1681,plain,
    ( ~ well_founded_relation(sK109)
    | spl123_4 ),
    inference(forward_subsumption_resolution,[],[f1679,f1388]) ).

fof(f1682,plain,
    ( ~ well_ordering(sK109)
    | ~ relation(sK109)
    | spl123_4 ),
    inference(resolution,[],[f1681,f1067]) ).

fof(f1683,plain,
    ( ~ relation(sK109)
    | spl123_4 ),
    inference(forward_subsumption_resolution,[],[f1682,f1389]) ).

fof(f1684,plain,
    ( $false
    | spl123_4 ),
    inference(forward_subsumption_resolution,[],[f1683,f1388]) ).

fof(f1685,plain,
    spl123_4,
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1686,plain,
    ( ~ connected(sK109)
    | ~ relation(sK109)
    | spl123_5 ),
    inference(resolution,[],[f1660,f1367]) ).

fof(f1688,plain,
    ( ~ connected(sK109)
    | spl123_5 ),
    inference(forward_subsumption_resolution,[],[f1686,f1388]) ).

fof(f1689,plain,
    ( ~ well_ordering(sK109)
    | ~ relation(sK109)
    | spl123_5 ),
    inference(resolution,[],[f1688,f1068]) ).

fof(f1690,plain,
    ( ~ relation(sK109)
    | spl123_5 ),
    inference(forward_subsumption_resolution,[],[f1689,f1389]) ).

fof(f1691,plain,
    ( $false
    | spl123_5 ),
    inference(forward_subsumption_resolution,[],[f1690,f1388]) ).

fof(f1692,plain,
    spl123_5,
    inference(avatar_contradiction_clause,[],[f1691]) ).

fof(f1693,plain,
    ( ~ antisymmetric(sK109)
    | ~ relation(sK109)
    | spl123_6 ),
    inference(resolution,[],[f1664,f1372]) ).

fof(f1695,plain,
    ( ~ antisymmetric(sK109)
    | spl123_6 ),
    inference(forward_subsumption_resolution,[],[f1693,f1388]) ).

fof(f1696,plain,
    ( ~ well_ordering(sK109)
    | ~ relation(sK109)
    | spl123_6 ),
    inference(resolution,[],[f1695,f1069]) ).

fof(f1697,plain,
    ( ~ relation(sK109)
    | spl123_6 ),
    inference(forward_subsumption_resolution,[],[f1696,f1389]) ).

fof(f1698,plain,
    ( $false
    | spl123_6 ),
    inference(forward_subsumption_resolution,[],[f1697,f1388]) ).

fof(f1699,plain,
    spl123_6,
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1700,plain,
    ( ~ transitive(sK109)
    | ~ relation(sK109)
    | spl123_7 ),
    inference(resolution,[],[f1668,f1369]) ).

fof(f1702,plain,
    ( ~ transitive(sK109)
    | spl123_7 ),
    inference(forward_subsumption_resolution,[],[f1700,f1388]) ).

fof(f1703,plain,
    ( ~ well_ordering(sK109)
    | ~ relation(sK109)
    | spl123_7 ),
    inference(resolution,[],[f1702,f1070]) ).

fof(f1704,plain,
    ( ~ relation(sK109)
    | spl123_7 ),
    inference(forward_subsumption_resolution,[],[f1703,f1389]) ).

fof(f1705,plain,
    ( $false
    | spl123_7 ),
    inference(forward_subsumption_resolution,[],[f1704,f1388]) ).

fof(f1706,plain,
    spl123_7,
    inference(avatar_contradiction_clause,[],[f1705]) ).

fof(f1707,plain,
    ( ~ reflexive(sK109)
    | ~ relation(sK109)
    | spl123_8 ),
    inference(resolution,[],[f1672,f1364]) ).

fof(f1709,plain,
    ( ~ reflexive(sK109)
    | spl123_8 ),
    inference(forward_subsumption_resolution,[],[f1707,f1388]) ).

fof(f1710,plain,
    ( ~ well_ordering(sK109)
    | ~ relation(sK109)
    | spl123_8 ),
    inference(resolution,[],[f1709,f1071]) ).

fof(f1711,plain,
    ( ~ relation(sK109)
    | spl123_8 ),
    inference(forward_subsumption_resolution,[],[f1710,f1389]) ).

fof(f1712,plain,
    ( $false
    | spl123_8 ),
    inference(forward_subsumption_resolution,[],[f1711,f1388]) ).

fof(f1713,plain,
    spl123_8,
    inference(avatar_contradiction_clause,[],[f1712]) ).

cnf(s2,plain,
    ( ~ spl123_3
    | ~ spl123_4
    | ~ spl123_5
    | ~ spl123_6
    | ~ spl123_7
    | ~ spl123_8 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s3,plain,
    spl123_3,
    inference(sat_conversion,[],[f1676]) ).

cnf(s4,plain,
    spl123_4,
    inference(sat_conversion,[],[f1685]) ).

cnf(s5,plain,
    spl123_5,
    inference(sat_conversion,[],[f1692]) ).

cnf(s6,plain,
    spl123_6,
    inference(sat_conversion,[],[f1699]) ).

cnf(s7,plain,
    spl123_7,
    inference(sat_conversion,[],[f1706]) ).

cnf(s8,plain,
    spl123_8,
    inference(sat_conversion,[],[f1713]) ).

cnf(s9,plain,
    $false,
    inference(rat,[],[s2,s8,s7,s6,s5,s4,s3]) ).

fof(f1714,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU257+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n004.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 04:21:08 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 2.54/1.26  % (4144784)Detected formulas, will run a generic FOF schedule.
% 2.54/1.26  % (4144789)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=1354704765:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/1.26  % (4144794)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2059869317:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/1.26  % (4144790)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=2608478055:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/1.26  % (4144793)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3907142853:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/1.26  % (4144792)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2674401501:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/1.26  % (4144791)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=267393839:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/1.26  % (4144795)dis-21_1_sil=8000:lcm=predicate:random_seed=115491234: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)
% 2.54/1.26  % (4144794)First to succeed.
% 2.54/1.26  % (4144794)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4144784"
% 2.54/1.26  % (4144792)Instruction limit reached! 
% 2.54/1.26  % (4144792)------------------------------
% 2.54/1.26  % (4144792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.26  % (4144792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.26  % (4144792)CaDiCaL version: 2.1.3
% 2.54/1.26  % (4144792)Termination reason: Instruction limit
% 2.54/1.26  % (4144792)Termination phase: Saturation
% 2.54/1.26  % (4144792)Time elapsed: 0.069 s
% 2.54/1.26  % (4144792)Peak memory usage: 90 MB
% 2.54/1.26  % (4144792)Instructions burned: 110 (million)
% 2.54/1.26  % (4144793)Instruction limit reached! 
% 2.54/1.26  % (4144793)------------------------------
% 2.54/1.26  % (4144793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.26  % (4144793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.26  % (4144793)CaDiCaL version: 2.1.3
% 2.54/1.26  % (4144793)Termination reason: Instruction limit
% 2.54/1.26  % (4144793)Termination phase: Saturation
% 2.54/1.26  % (4144793)Time elapsed: 0.078 s
% 2.54/1.26  % (4144793)Peak memory usage: 90 MB
% 2.54/1.26  % (4144793)Instructions burned: 119 (million)
% 2.54/1.26  % (4144795)Instruction limit reached! 
% 2.54/1.26  % (4144795)------------------------------
% 2.54/1.26  % (4144795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.26  % (4144795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.26  % (4144795)CaDiCaL version: 2.1.3
% 2.54/1.26  % (4144795)Termination reason: Instruction limit
% 2.54/1.26  % (4144795)Termination phase: Saturation
% 2.54/1.26  % (4144795)Time elapsed: 0.076 s
% 2.54/1.26  % (4144795)Peak memory usage: 90 MB
% 2.54/1.26  % (4144795)Instructions burned: 130 (million)
% 2.54/1.26  % (4144803)lrs+10_1_sil=8000:sp=occurrence:random_seed=157912780:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.54/1.26  % (4144804)lrs+10_1_sil=32000:urr=on:br=off:random_seed=100533069:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.54/1.26  % (4144805)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4023300736:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.54/1.26  % (4144794)Refutation found. Thanks to Tanya!
% 2.54/1.26  % SZS status Theorem for theBenchmark
% 2.54/1.26  % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.35  % (4144794)------------------------------
% 3.42/1.35  % (4144794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.35  % (4144794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.35  % (4144794)CaDiCaL version: 2.1.3
% 3.42/1.35  % (4144794)Termination reason: Refutation
% 3.42/1.35  % (4144794)Time elapsed: 0.021 s
% 3.42/1.35  % (4144794)Peak memory usage: 90 MB
% 3.42/1.35  % (4144794)Instructions burned: 31 (million)
% 3.42/1.35  % (4144794)------------------------------
% 3.42/1.35  % (4144794)------------------------------
% 3.42/1.35  % (4144784)Success in time 0.424 s
% 3.42/1.35  % Vampire exiting
%------------------------------------------------------------------------------