TSTP Solution File: SEU261+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU261+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:21:38 EDT 2024

% Result   : Theorem 0.96s 0.88s
% Output   : Refutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   89 (  18 unt;   1 typ;   0 def)
%            Number of atoms       :  463 (   0 equ)
%            Maximal formula atoms :   15 (   5 avg)
%            Number of connectives :  451 ( 196   ~; 194   |;  37   &)
%                                         (   6 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  120 ( 120 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  17 usr;   8 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   61 (  54   !;   6   ?;  38   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_30,type,
    sQ125_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f3430,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2977,f3093,f3295,f3384,f3429]) ).

tff(f3429,plain,
    spl126_5,
    inference(avatar_contradiction_clause,[],[f3428]) ).

tff(f3428,plain,
    ( $false
    | spl126_5 ),
    inference(subsumption_resolution,[],[f3427,f1250]) ).

tff(f1250,plain,
    relation(sK116),
    inference(cnf_transformation,[],[f602]) ).

tff(f602,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ well_ordering(X1)
              & relation_isomorphism(X0,X1,X2)
              & well_ordering(X0)
              & function(X2)
              & relation(X2) )
          & relation(X1) )
      & relation(X0) ),
    inference(flattening,[],[f601]) ).

tff(f601,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ well_ordering(X1)
              & relation_isomorphism(X0,X1,X2)
              & well_ordering(X0)
              & function(X2)
              & relation(X2) )
          & relation(X1) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f284]) ).

tff(f284,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ! [X1] :
            ( relation(X1)
           => ! [X2] :
                ( ( function(X2)
                  & relation(X2) )
               => ( ( relation_isomorphism(X0,X1,X2)
                    & well_ordering(X0) )
                 => well_ordering(X1) ) ) ) ),
    inference(negated_conjecture,[],[f283]) ).

tff(f283,conjecture,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ! [X2] :
              ( ( function(X2)
                & relation(X2) )
             => ( ( relation_isomorphism(X0,X1,X2)
                  & well_ordering(X0) )
               => well_ordering(X1) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZhpxZEgqIR/Vampire---4.8_12850',t54_wellord1) ).

tff(f3427,plain,
    ( ~ relation(sK116)
    | spl126_5 ),
    inference(subsumption_resolution,[],[f3426,f1774]) ).

tff(f1774,plain,
    antisymmetric(sK116),
    inference(subsumption_resolution,[],[f1773,f1250]) ).

tff(f1773,plain,
    ( antisymmetric(sK116)
    | ~ relation(sK116) ),
    inference(resolution,[],[f838,f1246]) ).

tff(f1246,plain,
    well_ordering(sK116),
    inference(cnf_transformation,[],[f602]) ).

tff(f838,plain,
    ! [X0: $i] :
      ( ~ well_ordering(X0)
      | antisymmetric(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f377]) ).

tff(f377,plain,
    ! [X0] :
      ( ( well_ordering(X0)
      <=> ( well_founded_relation(X0)
          & connected(X0)
          & antisymmetric(X0)
          & transitive(X0)
          & reflexive(X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f51]) ).

tff(f51,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_ordering(X0)
      <=> ( well_founded_relation(X0)
          & connected(X0)
          & antisymmetric(X0)
          & transitive(X0)
          & reflexive(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZhpxZEgqIR/Vampire---4.8_12850',d4_wellord1) ).

tff(f3426,plain,
    ( ~ antisymmetric(sK116)
    | ~ relation(sK116)
    | spl126_5 ),
    inference(subsumption_resolution,[],[f3425,f1244]) ).

tff(f1244,plain,
    relation(sK118),
    inference(cnf_transformation,[],[f602]) ).

tff(f3425,plain,
    ( ~ relation(sK118)
    | ~ antisymmetric(sK116)
    | ~ relation(sK116)
    | spl126_5 ),
    inference(subsumption_resolution,[],[f3424,f1245]) ).

tff(f1245,plain,
    function(sK118),
    inference(cnf_transformation,[],[f602]) ).

tff(f3424,plain,
    ( ~ function(sK118)
    | ~ relation(sK118)
    | ~ antisymmetric(sK116)
    | ~ relation(sK116)
    | spl126_5 ),
    inference(resolution,[],[f3389,f1247]) ).

tff(f1247,plain,
    relation_isomorphism(sK116,sK117,sK118),
    inference(cnf_transformation,[],[f602]) ).

tff(f3389,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ relation_isomorphism(X1,sK117,X0)
        | ~ function(X0)
        | ~ relation(X0)
        | ~ antisymmetric(X1)
        | ~ relation(X1) )
    | spl126_5 ),
    inference(subsumption_resolution,[],[f3385,f1249]) ).

tff(f1249,plain,
    relation(sK117),
    inference(cnf_transformation,[],[f602]) ).

tff(f3385,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ relation(sK117)
        | ~ relation(X0)
        | ~ function(X0)
        | ~ relation_isomorphism(X1,sK117,X0)
        | ~ antisymmetric(X1)
        | ~ relation(X1) )
    | spl126_5 ),
    inference(resolution,[],[f2973,f1229]) ).

tff(f1229,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( antisymmetric(X1)
      | ~ relation(X1)
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation_isomorphism(X0,X1,X2)
      | ~ antisymmetric(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f596]) ).

tff(f596,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( well_founded_relation(X1)
                  | ~ well_founded_relation(X0) )
                & ( antisymmetric(X1)
                  | ~ antisymmetric(X0) )
                & ( connected(X1)
                  | ~ connected(X0) )
                & ( transitive(X1)
                  | ~ transitive(X0) )
                & ( reflexive(X1)
                  | ~ reflexive(X0) ) )
              | ~ relation_isomorphism(X0,X1,X2)
              | ~ function(X2)
              | ~ relation(X2) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(flattening,[],[f595]) ).

tff(f595,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( well_founded_relation(X1)
                  | ~ well_founded_relation(X0) )
                & ( antisymmetric(X1)
                  | ~ antisymmetric(X0) )
                & ( connected(X1)
                  | ~ connected(X0) )
                & ( transitive(X1)
                  | ~ transitive(X0) )
                & ( reflexive(X1)
                  | ~ reflexive(X0) ) )
              | ~ relation_isomorphism(X0,X1,X2)
              | ~ function(X2)
              | ~ relation(X2) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f280]) ).

tff(f280,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ! [X2] :
              ( ( function(X2)
                & relation(X2) )
             => ( relation_isomorphism(X0,X1,X2)
               => ( ( well_founded_relation(X0)
                   => well_founded_relation(X1) )
                  & ( antisymmetric(X0)
                   => antisymmetric(X1) )
                  & ( connected(X0)
                   => connected(X1) )
                  & ( transitive(X0)
                   => transitive(X1) )
                  & ( reflexive(X0)
                   => reflexive(X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZhpxZEgqIR/Vampire---4.8_12850',t53_wellord1) ).

tff(f2973,plain,
    ( ~ antisymmetric(sK117)
    | spl126_5 ),
    inference(avatar_component_clause,[],[f2972]) ).

tff(f2972,plain,
    ( spl126_5
  <=> antisymmetric(sK117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl126_5])]) ).

tff(f3384,plain,
    spl126_3,
    inference(avatar_contradiction_clause,[],[f3383]) ).

tff(f3383,plain,
    ( $false
    | spl126_3 ),
    inference(subsumption_resolution,[],[f3382,f1250]) ).

tff(f3382,plain,
    ( ~ relation(sK116)
    | spl126_3 ),
    inference(subsumption_resolution,[],[f3381,f1778]) ).

tff(f1778,plain,
    well_founded_relation(sK116),
    inference(subsumption_resolution,[],[f1777,f1250]) ).

tff(f1777,plain,
    ( well_founded_relation(sK116)
    | ~ relation(sK116) ),
    inference(resolution,[],[f840,f1246]) ).

tff(f840,plain,
    ! [X0: $i] :
      ( ~ well_ordering(X0)
      | well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f377]) ).

tff(f3381,plain,
    ( ~ well_founded_relation(sK116)
    | ~ relation(sK116)
    | spl126_3 ),
    inference(subsumption_resolution,[],[f3380,f1244]) ).

tff(f3380,plain,
    ( ~ relation(sK118)
    | ~ well_founded_relation(sK116)
    | ~ relation(sK116)
    | spl126_3 ),
    inference(subsumption_resolution,[],[f3379,f1245]) ).

tff(f3379,plain,
    ( ~ function(sK118)
    | ~ relation(sK118)
    | ~ well_founded_relation(sK116)
    | ~ relation(sK116)
    | spl126_3 ),
    inference(resolution,[],[f3300,f1247]) ).

tff(f3300,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ relation_isomorphism(X1,sK117,X0)
        | ~ function(X0)
        | ~ relation(X0)
        | ~ well_founded_relation(X1)
        | ~ relation(X1) )
    | spl126_3 ),
    inference(subsumption_resolution,[],[f3296,f1249]) ).

tff(f3296,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ relation(sK117)
        | ~ relation(X0)
        | ~ function(X0)
        | ~ relation_isomorphism(X1,sK117,X0)
        | ~ well_founded_relation(X1)
        | ~ relation(X1) )
    | spl126_3 ),
    inference(resolution,[],[f2967,f1228]) ).

tff(f1228,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( well_founded_relation(X1)
      | ~ relation(X1)
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation_isomorphism(X0,X1,X2)
      | ~ well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f596]) ).

tff(f2967,plain,
    ( ~ well_founded_relation(sK117)
    | spl126_3 ),
    inference(avatar_component_clause,[],[f2966]) ).

tff(f2966,plain,
    ( spl126_3
  <=> well_founded_relation(sK117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl126_3])]) ).

tff(f3295,plain,
    spl126_4,
    inference(avatar_contradiction_clause,[],[f3294]) ).

tff(f3294,plain,
    ( $false
    | spl126_4 ),
    inference(subsumption_resolution,[],[f3293,f1250]) ).

tff(f3293,plain,
    ( ~ relation(sK116)
    | spl126_4 ),
    inference(subsumption_resolution,[],[f3292,f1776]) ).

tff(f1776,plain,
    connected(sK116),
    inference(subsumption_resolution,[],[f1775,f1250]) ).

tff(f1775,plain,
    ( connected(sK116)
    | ~ relation(sK116) ),
    inference(resolution,[],[f839,f1246]) ).

tff(f839,plain,
    ! [X0: $i] :
      ( ~ well_ordering(X0)
      | connected(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f377]) ).

tff(f3292,plain,
    ( ~ connected(sK116)
    | ~ relation(sK116)
    | spl126_4 ),
    inference(subsumption_resolution,[],[f3291,f1244]) ).

tff(f3291,plain,
    ( ~ relation(sK118)
    | ~ connected(sK116)
    | ~ relation(sK116)
    | spl126_4 ),
    inference(subsumption_resolution,[],[f3290,f1245]) ).

tff(f3290,plain,
    ( ~ function(sK118)
    | ~ relation(sK118)
    | ~ connected(sK116)
    | ~ relation(sK116)
    | spl126_4 ),
    inference(resolution,[],[f3249,f1247]) ).

tff(f3249,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ relation_isomorphism(X1,sK117,X0)
        | ~ function(X0)
        | ~ relation(X0)
        | ~ connected(X1)
        | ~ relation(X1) )
    | spl126_4 ),
    inference(subsumption_resolution,[],[f3243,f1249]) ).

tff(f3243,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ relation(sK117)
        | ~ relation(X0)
        | ~ function(X0)
        | ~ relation_isomorphism(X1,sK117,X0)
        | ~ connected(X1)
        | ~ relation(X1) )
    | spl126_4 ),
    inference(resolution,[],[f2970,f1230]) ).

tff(f1230,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( connected(X1)
      | ~ relation(X1)
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation_isomorphism(X0,X1,X2)
      | ~ connected(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f596]) ).

tff(f2970,plain,
    ( ~ connected(sK117)
    | spl126_4 ),
    inference(avatar_component_clause,[],[f2969]) ).

tff(f2969,plain,
    ( spl126_4
  <=> connected(sK117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl126_4])]) ).

tff(f3093,plain,
    spl126_6,
    inference(avatar_contradiction_clause,[],[f3092]) ).

tff(f3092,plain,
    ( $false
    | spl126_6 ),
    inference(subsumption_resolution,[],[f3091,f1250]) ).

tff(f3091,plain,
    ( ~ relation(sK116)
    | spl126_6 ),
    inference(subsumption_resolution,[],[f3090,f1772]) ).

tff(f1772,plain,
    transitive(sK116),
    inference(subsumption_resolution,[],[f1771,f1250]) ).

tff(f1771,plain,
    ( transitive(sK116)
    | ~ relation(sK116) ),
    inference(resolution,[],[f837,f1246]) ).

tff(f837,plain,
    ! [X0: $i] :
      ( ~ well_ordering(X0)
      | transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f377]) ).

tff(f3090,plain,
    ( ~ transitive(sK116)
    | ~ relation(sK116)
    | spl126_6 ),
    inference(subsumption_resolution,[],[f3089,f1244]) ).

tff(f3089,plain,
    ( ~ relation(sK118)
    | ~ transitive(sK116)
    | ~ relation(sK116)
    | spl126_6 ),
    inference(subsumption_resolution,[],[f3088,f1245]) ).

tff(f3088,plain,
    ( ~ function(sK118)
    | ~ relation(sK118)
    | ~ transitive(sK116)
    | ~ relation(sK116)
    | spl126_6 ),
    inference(resolution,[],[f3062,f1247]) ).

tff(f3062,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ relation_isomorphism(X1,sK117,X0)
        | ~ function(X0)
        | ~ relation(X0)
        | ~ transitive(X1)
        | ~ relation(X1) )
    | spl126_6 ),
    inference(subsumption_resolution,[],[f3058,f1249]) ).

tff(f3058,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ relation(sK117)
        | ~ relation(X0)
        | ~ function(X0)
        | ~ relation_isomorphism(X1,sK117,X0)
        | ~ transitive(X1)
        | ~ relation(X1) )
    | spl126_6 ),
    inference(resolution,[],[f2976,f1231]) ).

tff(f1231,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( transitive(X1)
      | ~ relation(X1)
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation_isomorphism(X0,X1,X2)
      | ~ transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f596]) ).

tff(f2976,plain,
    ( ~ transitive(sK117)
    | spl126_6 ),
    inference(avatar_component_clause,[],[f2975]) ).

tff(f2975,plain,
    ( spl126_6
  <=> transitive(sK117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl126_6])]) ).

tff(f2977,plain,
    ( ~ spl126_3
    | ~ spl126_4
    | ~ spl126_5
    | ~ spl126_6 ),
    inference(avatar_split_clause,[],[f2964,f2975,f2972,f2969,f2966]) ).

tff(f2964,plain,
    ( ~ transitive(sK117)
    | ~ antisymmetric(sK117)
    | ~ connected(sK117)
    | ~ well_founded_relation(sK117) ),
    inference(subsumption_resolution,[],[f2963,f1248]) ).

tff(f1248,plain,
    ~ well_ordering(sK117),
    inference(cnf_transformation,[],[f602]) ).

tff(f2963,plain,
    ( ~ transitive(sK117)
    | ~ antisymmetric(sK117)
    | ~ connected(sK117)
    | ~ well_founded_relation(sK117)
    | well_ordering(sK117) ),
    inference(subsumption_resolution,[],[f2961,f1249]) ).

tff(f2961,plain,
    ( ~ relation(sK117)
    | ~ transitive(sK117)
    | ~ antisymmetric(sK117)
    | ~ connected(sK117)
    | ~ well_founded_relation(sK117)
    | well_ordering(sK117) ),
    inference(resolution,[],[f2960,f841]) ).

tff(f841,plain,
    ! [X0: $i] :
      ( ~ reflexive(X0)
      | ~ relation(X0)
      | ~ transitive(X0)
      | ~ antisymmetric(X0)
      | ~ connected(X0)
      | ~ well_founded_relation(X0)
      | well_ordering(X0) ),
    inference(cnf_transformation,[],[f377]) ).

tff(f2960,plain,
    reflexive(sK117),
    inference(subsumption_resolution,[],[f2959,f1770]) ).

tff(f1770,plain,
    reflexive(sK116),
    inference(subsumption_resolution,[],[f1769,f1250]) ).

tff(f1769,plain,
    ( reflexive(sK116)
    | ~ relation(sK116) ),
    inference(resolution,[],[f836,f1246]) ).

tff(f836,plain,
    ! [X0: $i] :
      ( ~ well_ordering(X0)
      | reflexive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f377]) ).

tff(f2959,plain,
    ( ~ reflexive(sK116)
    | reflexive(sK117) ),
    inference(subsumption_resolution,[],[f2958,f1250]) ).

tff(f2958,plain,
    ( ~ relation(sK116)
    | ~ reflexive(sK116)
    | reflexive(sK117) ),
    inference(subsumption_resolution,[],[f2957,f1245]) ).

tff(f2957,plain,
    ( ~ function(sK118)
    | ~ relation(sK116)
    | ~ reflexive(sK116)
    | reflexive(sK117) ),
    inference(subsumption_resolution,[],[f2956,f1244]) ).

tff(f2956,plain,
    ( ~ relation(sK118)
    | ~ function(sK118)
    | ~ relation(sK116)
    | ~ reflexive(sK116)
    | reflexive(sK117) ),
    inference(subsumption_resolution,[],[f2955,f1249]) ).

tff(f2955,plain,
    ( ~ relation(sK117)
    | ~ relation(sK118)
    | ~ function(sK118)
    | ~ relation(sK116)
    | ~ reflexive(sK116)
    | reflexive(sK117) ),
    inference(resolution,[],[f1232,f1247]) ).

tff(f1232,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ relation_isomorphism(X0,X1,X2)
      | ~ relation(X1)
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation(X0)
      | ~ reflexive(X0)
      | reflexive(X1) ),
    inference(cnf_transformation,[],[f596]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU261+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 11:39:51 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.ZhpxZEgqIR/Vampire---4.8_12850
% 0.54/0.76  % (13204)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.76  % (13197)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.76  % (13199)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (13200)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.76  % (13198)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.76  % (13201)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.76  % (13202)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.76  % (13203)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.77  % (13204)Instruction limit reached!
% 0.60/0.77  % (13204)------------------------------
% 0.60/0.77  % (13204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (13204)Termination reason: Unknown
% 0.60/0.77  % (13204)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (13204)Memory used [KB]: 2333
% 0.60/0.77  % (13204)Time elapsed: 0.018 s
% 0.60/0.77  % (13204)Instructions burned: 56 (million)
% 0.60/0.77  % (13204)------------------------------
% 0.60/0.77  % (13204)------------------------------
% 0.60/0.77  % (13197)Instruction limit reached!
% 0.60/0.77  % (13197)------------------------------
% 0.60/0.77  % (13197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (13197)Termination reason: Unknown
% 0.60/0.77  % (13197)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (13197)Memory used [KB]: 1949
% 0.60/0.77  % (13197)Time elapsed: 0.018 s
% 0.60/0.77  % (13197)Instructions burned: 35 (million)
% 0.60/0.77  % (13197)------------------------------
% 0.60/0.77  % (13197)------------------------------
% 0.60/0.77  % (13201)Instruction limit reached!
% 0.60/0.77  % (13201)------------------------------
% 0.60/0.77  % (13201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (13201)Termination reason: Unknown
% 0.60/0.77  % (13201)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (13201)Memory used [KB]: 2154
% 0.60/0.77  % (13201)Time elapsed: 0.018 s
% 0.60/0.77  % (13201)Instructions burned: 34 (million)
% 0.60/0.77  % (13201)------------------------------
% 0.60/0.77  % (13201)------------------------------
% 0.60/0.77  % (13200)Instruction limit reached!
% 0.60/0.77  % (13200)------------------------------
% 0.60/0.77  % (13200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (13200)Termination reason: Unknown
% 0.60/0.77  % (13200)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (13200)Memory used [KB]: 2016
% 0.60/0.77  % (13200)Time elapsed: 0.019 s
% 0.60/0.77  % (13200)Instructions burned: 34 (million)
% 0.60/0.77  % (13200)------------------------------
% 0.60/0.77  % (13200)------------------------------
% 0.60/0.78  % (13213)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.78  % (13214)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.78  % (13215)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.78  % (13216)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.78  % (13202)Instruction limit reached!
% 0.60/0.78  % (13202)------------------------------
% 0.60/0.78  % (13202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (13202)Termination reason: Unknown
% 0.60/0.78  % (13202)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (13202)Memory used [KB]: 2240
% 0.60/0.78  % (13202)Time elapsed: 0.025 s
% 0.60/0.78  % (13202)Instructions burned: 46 (million)
% 0.60/0.78  % (13202)------------------------------
% 0.60/0.78  % (13202)------------------------------
% 0.60/0.78  % (13198)Instruction limit reached!
% 0.60/0.78  % (13198)------------------------------
% 0.60/0.78  % (13198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (13198)Termination reason: Unknown
% 0.60/0.78  % (13198)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (13198)Memory used [KB]: 2255
% 0.60/0.78  % (13198)Time elapsed: 0.029 s
% 0.60/0.78  % (13198)Instructions burned: 52 (million)
% 0.60/0.78  % (13198)------------------------------
% 0.60/0.78  % (13198)------------------------------
% 0.60/0.78  % (13218)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.79  % (13221)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.79  % (13213)Instruction limit reached!
% 0.60/0.79  % (13213)------------------------------
% 0.60/0.79  % (13213)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (13213)Termination reason: Unknown
% 0.60/0.79  % (13213)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (13213)Memory used [KB]: 2318
% 0.60/0.79  % (13213)Time elapsed: 0.018 s
% 0.60/0.79  % (13213)Instructions burned: 57 (million)
% 0.60/0.79  % (13213)------------------------------
% 0.60/0.79  % (13213)------------------------------
% 0.60/0.79  % (13225)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.75/0.80  % (13199)Instruction limit reached!
% 0.75/0.80  % (13199)------------------------------
% 0.75/0.80  % (13199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.80  % (13199)Termination reason: Unknown
% 0.75/0.80  % (13199)Termination phase: Saturation
% 0.75/0.80  
% 0.75/0.80  % (13199)Memory used [KB]: 2490
% 0.75/0.80  % (13199)Time elapsed: 0.043 s
% 0.75/0.80  % (13199)Instructions burned: 78 (million)
% 0.75/0.80  % (13199)------------------------------
% 0.75/0.80  % (13199)------------------------------
% 0.75/0.80  % (13203)Instruction limit reached!
% 0.75/0.80  % (13203)------------------------------
% 0.75/0.80  % (13203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.80  % (13203)Termination reason: Unknown
% 0.75/0.80  % (13203)Termination phase: Saturation
% 0.75/0.80  
% 0.75/0.80  % (13203)Memory used [KB]: 2596
% 0.75/0.80  % (13203)Time elapsed: 0.046 s
% 0.75/0.80  % (13203)Instructions burned: 83 (million)
% 0.75/0.80  % (13203)------------------------------
% 0.75/0.80  % (13203)------------------------------
% 0.75/0.80  % (13228)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.75/0.80  % (13214)Instruction limit reached!
% 0.75/0.80  % (13214)------------------------------
% 0.75/0.80  % (13214)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.80  % (13214)Termination reason: Unknown
% 0.75/0.80  % (13214)Termination phase: Saturation
% 0.75/0.80  
% 0.75/0.80  % (13214)Memory used [KB]: 2382
% 0.75/0.80  % (13214)Time elapsed: 0.027 s
% 0.75/0.80  % (13214)Instructions burned: 50 (million)
% 0.75/0.80  % (13214)------------------------------
% 0.75/0.80  % (13214)------------------------------
% 0.75/0.81  % (13230)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.75/0.81  % (13216)Instruction limit reached!
% 0.75/0.81  % (13216)------------------------------
% 0.75/0.81  % (13216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.81  % (13216)Termination reason: Unknown
% 0.75/0.81  % (13216)Termination phase: Saturation
% 0.75/0.81  
% 0.75/0.81  % (13216)Memory used [KB]: 2291
% 0.75/0.81  % (13216)Time elapsed: 0.029 s
% 0.75/0.81  % (13216)Instructions burned: 53 (million)
% 0.75/0.81  % (13216)------------------------------
% 0.75/0.81  % (13216)------------------------------
% 0.75/0.81  % (13231)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.75/0.81  % (13221)Instruction limit reached!
% 0.75/0.81  % (13221)------------------------------
% 0.75/0.81  % (13221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.81  % (13221)Termination reason: Unknown
% 0.75/0.81  % (13221)Termination phase: Saturation
% 0.75/0.81  
% 0.75/0.81  % (13221)Memory used [KB]: 2256
% 0.75/0.81  % (13221)Time elapsed: 0.023 s
% 0.75/0.81  % (13221)Instructions burned: 43 (million)
% 0.75/0.81  % (13221)------------------------------
% 0.75/0.81  % (13221)------------------------------
% 0.75/0.81  % (13232)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.75/0.81  % (13235)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.75/0.83  % (13235)Instruction limit reached!
% 0.75/0.83  % (13235)------------------------------
% 0.75/0.83  % (13235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.83  % (13235)Termination reason: Unknown
% 0.75/0.83  % (13235)Termination phase: Saturation
% 0.75/0.83  
% 0.75/0.83  % (13235)Memory used [KB]: 1793
% 0.75/0.83  % (13235)Time elapsed: 0.018 s
% 0.75/0.83  % (13235)Instructions burned: 32 (million)
% 0.75/0.83  % (13235)------------------------------
% 0.75/0.83  % (13235)------------------------------
% 0.96/0.84  % (13251)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.96/0.84  % (13232)Instruction limit reached!
% 0.96/0.84  % (13232)------------------------------
% 0.96/0.84  % (13232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.84  % (13232)Termination reason: Unknown
% 0.96/0.84  % (13232)Termination phase: Saturation
% 0.96/0.84  
% 0.96/0.84  % (13232)Memory used [KB]: 2317
% 0.96/0.84  % (13232)Time elapsed: 0.033 s
% 0.96/0.84  % (13232)Instructions burned: 62 (million)
% 0.96/0.84  % (13232)------------------------------
% 0.96/0.84  % (13232)------------------------------
% 0.96/0.85  % (13260)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.96/0.86  % (13231)Instruction limit reached!
% 0.96/0.86  % (13231)------------------------------
% 0.96/0.86  % (13231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.86  % (13231)Termination reason: Unknown
% 0.96/0.86  % (13231)Termination phase: Saturation
% 0.96/0.86  
% 0.96/0.86  % (13231)Memory used [KB]: 2390
% 0.96/0.86  % (13231)Time elapsed: 0.056 s
% 0.96/0.86  % (13231)Instructions burned: 93 (million)
% 0.96/0.86  % (13231)------------------------------
% 0.96/0.86  % (13231)------------------------------
% 0.96/0.87  % (13228)Instruction limit reached!
% 0.96/0.87  % (13228)------------------------------
% 0.96/0.87  % (13228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.87  % (13228)Termination reason: Unknown
% 0.96/0.87  % (13228)Termination phase: Saturation
% 0.96/0.87  
% 0.96/0.87  % (13271)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.96/0.87  % (13228)Memory used [KB]: 2614
% 0.96/0.87  % (13228)Time elapsed: 0.065 s
% 0.96/0.87  % (13228)Instructions burned: 117 (million)
% 0.96/0.87  % (13228)------------------------------
% 0.96/0.87  % (13228)------------------------------
% 0.96/0.87  % (13273)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.96/0.87  % (13230)First to succeed.
% 0.96/0.87  % (13260)Instruction limit reached!
% 0.96/0.87  % (13260)------------------------------
% 0.96/0.87  % (13260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.87  % (13260)Termination reason: Unknown
% 0.96/0.87  % (13260)Termination phase: Saturation
% 0.96/0.87  
% 0.96/0.87  % (13260)Memory used [KB]: 2297
% 0.96/0.87  % (13260)Time elapsed: 0.030 s
% 0.96/0.87  % (13230)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13036"
% 0.96/0.87  % (13260)Instructions burned: 55 (million)
% 0.96/0.87  % (13260)------------------------------
% 0.96/0.87  % (13260)------------------------------
% 0.96/0.88  % (13230)Refutation found. Thanks to Tanya!
% 0.96/0.88  % SZS status Theorem for Vampire---4
% 0.96/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 0.96/0.88  % (13230)------------------------------
% 0.96/0.88  % (13230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.88  % (13230)Termination reason: Refutation
% 0.96/0.88  
% 0.96/0.88  % (13230)Memory used [KB]: 2472
% 0.96/0.88  % (13230)Time elapsed: 0.071 s
% 0.96/0.88  % (13230)Instructions burned: 123 (million)
% 0.96/0.88  % (13036)Success in time 0.515 s
% 0.96/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------