TSTP Solution File: SEU244+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU244+2 : TPTP v8.2.0. 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 : n004.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 : Tue May 21 03:46:03 EDT 2024

% Result   : Theorem 1.25s 0.98s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  146 (   2 unt;   0 def)
%            Number of atoms       :  496 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  603 ( 253   ~; 260   |;  52   &)
%                                         (  27 <=>;  10  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   25 (  24 usr;  12 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   61 (  57   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2399,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1931,f1934,f1976,f2335,f2337,f2343,f2347,f2351,f2379,f2383,f2388,f2393,f2398]) ).

fof(f2398,plain,
    ( ~ spl121_1
    | spl121_11 ),
    inference(avatar_contradiction_clause,[],[f2397]) ).

fof(f2397,plain,
    ( $false
    | ~ spl121_1
    | spl121_11 ),
    inference(subsumption_resolution,[],[f2396,f1532]) ).

fof(f1532,plain,
    relation(sK118),
    inference(cnf_transformation,[],[f923]) ).

fof(f923,plain,
    ( ( ~ well_ordering(sK118)
      | ~ well_orders(sK118,relation_field(sK118)) )
    & ( well_ordering(sK118)
      | well_orders(sK118,relation_field(sK118)) )
    & relation(sK118) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK118])],[f921,f922]) ).

fof(f922,plain,
    ( ? [X0] :
        ( ( ~ well_ordering(X0)
          | ~ well_orders(X0,relation_field(X0)) )
        & ( well_ordering(X0)
          | well_orders(X0,relation_field(X0)) )
        & relation(X0) )
   => ( ( ~ well_ordering(sK118)
        | ~ well_orders(sK118,relation_field(sK118)) )
      & ( well_ordering(sK118)
        | well_orders(sK118,relation_field(sK118)) )
      & relation(sK118) ) ),
    introduced(choice_axiom,[]) ).

fof(f921,plain,
    ? [X0] :
      ( ( ~ well_ordering(X0)
        | ~ well_orders(X0,relation_field(X0)) )
      & ( well_ordering(X0)
        | well_orders(X0,relation_field(X0)) )
      & relation(X0) ),
    inference(flattening,[],[f920]) ).

fof(f920,plain,
    ? [X0] :
      ( ( ~ well_ordering(X0)
        | ~ well_orders(X0,relation_field(X0)) )
      & ( well_ordering(X0)
        | well_orders(X0,relation_field(X0)) )
      & relation(X0) ),
    inference(nnf_transformation,[],[f578]) ).

fof(f578,plain,
    ? [X0] :
      ( ( well_orders(X0,relation_field(X0))
      <~> well_ordering(X0) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f291]) ).

fof(f291,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( well_orders(X0,relation_field(X0))
        <=> well_ordering(X0) ) ),
    inference(negated_conjecture,[],[f290]) ).

fof(f290,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( well_orders(X0,relation_field(X0))
      <=> well_ordering(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_wellord1) ).

fof(f2396,plain,
    ( ~ relation(sK118)
    | ~ spl121_1
    | spl121_11 ),
    inference(subsumption_resolution,[],[f2395,f2378]) ).

fof(f2378,plain,
    ( ~ well_founded_relation(sK118)
    | spl121_11 ),
    inference(avatar_component_clause,[],[f2377]) ).

fof(f2377,plain,
    ( spl121_11
  <=> well_founded_relation(sK118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_11])]) ).

fof(f2395,plain,
    ( well_founded_relation(sK118)
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f2361,f1492]) ).

fof(f1492,plain,
    ! [X0] :
      ( ~ is_well_founded_in(X0,relation_field(X0))
      | well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f903]) ).

fof(f903,plain,
    ! [X0] :
      ( ( ( well_founded_relation(X0)
          | ~ is_well_founded_in(X0,relation_field(X0)) )
        & ( is_well_founded_in(X0,relation_field(X0))
          | ~ well_founded_relation(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f553]) ).

fof(f553,plain,
    ! [X0] :
      ( ( well_founded_relation(X0)
      <=> is_well_founded_in(X0,relation_field(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f266]) ).

fof(f266,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_founded_relation(X0)
      <=> is_well_founded_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord1) ).

fof(f2361,plain,
    ( is_well_founded_in(sK118,relation_field(sK118))
    | ~ spl121_1 ),
    inference(subsumption_resolution,[],[f2356,f1532]) ).

fof(f2356,plain,
    ( is_well_founded_in(sK118,relation_field(sK118))
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f1932,f1142]) ).

fof(f1142,plain,
    ! [X0,X1] :
      ( ~ well_orders(X0,X1)
      | is_well_founded_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f757]) ).

fof(f757,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( well_orders(X0,X1)
            | ~ is_well_founded_in(X0,X1)
            | ~ is_connected_in(X0,X1)
            | ~ is_antisymmetric_in(X0,X1)
            | ~ is_transitive_in(X0,X1)
            | ~ is_reflexive_in(X0,X1) )
          & ( ( is_well_founded_in(X0,X1)
              & is_connected_in(X0,X1)
              & is_antisymmetric_in(X0,X1)
              & is_transitive_in(X0,X1)
              & is_reflexive_in(X0,X1) )
            | ~ well_orders(X0,X1) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f756]) ).

fof(f756,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( well_orders(X0,X1)
            | ~ is_well_founded_in(X0,X1)
            | ~ is_connected_in(X0,X1)
            | ~ is_antisymmetric_in(X0,X1)
            | ~ is_transitive_in(X0,X1)
            | ~ is_reflexive_in(X0,X1) )
          & ( ( is_well_founded_in(X0,X1)
              & is_connected_in(X0,X1)
              & is_antisymmetric_in(X0,X1)
              & is_transitive_in(X0,X1)
              & is_reflexive_in(X0,X1) )
            | ~ well_orders(X0,X1) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f359]) ).

fof(f359,plain,
    ! [X0] :
      ( ! [X1] :
          ( well_orders(X0,X1)
        <=> ( is_well_founded_in(X0,X1)
            & is_connected_in(X0,X1)
            & is_antisymmetric_in(X0,X1)
            & is_transitive_in(X0,X1)
            & is_reflexive_in(X0,X1) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( well_orders(X0,X1)
        <=> ( is_well_founded_in(X0,X1)
            & is_connected_in(X0,X1)
            & is_antisymmetric_in(X0,X1)
            & is_transitive_in(X0,X1)
            & is_reflexive_in(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).

fof(f1932,plain,
    ( well_orders(sK118,relation_field(sK118))
    | ~ spl121_1 ),
    inference(avatar_component_clause,[],[f1926]) ).

fof(f1926,plain,
    ( spl121_1
  <=> well_orders(sK118,relation_field(sK118)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_1])]) ).

fof(f2393,plain,
    ( ~ spl121_1
    | spl121_10 ),
    inference(avatar_contradiction_clause,[],[f2392]) ).

fof(f2392,plain,
    ( $false
    | ~ spl121_1
    | spl121_10 ),
    inference(subsumption_resolution,[],[f2391,f1532]) ).

fof(f2391,plain,
    ( ~ relation(sK118)
    | ~ spl121_1
    | spl121_10 ),
    inference(subsumption_resolution,[],[f2390,f2375]) ).

fof(f2375,plain,
    ( ~ connected(sK118)
    | spl121_10 ),
    inference(avatar_component_clause,[],[f2374]) ).

fof(f2374,plain,
    ( spl121_10
  <=> connected(sK118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_10])]) ).

fof(f2390,plain,
    ( connected(sK118)
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f2360,f995]) ).

fof(f995,plain,
    ! [X0] :
      ( ~ is_connected_in(X0,relation_field(X0))
      | connected(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f632]) ).

fof(f632,plain,
    ! [X0] :
      ( ( ( connected(X0)
          | ~ is_connected_in(X0,relation_field(X0)) )
        & ( is_connected_in(X0,relation_field(X0))
          | ~ connected(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f335]) ).

fof(f335,plain,
    ! [X0] :
      ( ( connected(X0)
      <=> is_connected_in(X0,relation_field(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( relation(X0)
     => ( connected(X0)
      <=> is_connected_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).

fof(f2360,plain,
    ( is_connected_in(sK118,relation_field(sK118))
    | ~ spl121_1 ),
    inference(subsumption_resolution,[],[f2355,f1532]) ).

fof(f2355,plain,
    ( is_connected_in(sK118,relation_field(sK118))
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f1932,f1141]) ).

fof(f1141,plain,
    ! [X0,X1] :
      ( ~ well_orders(X0,X1)
      | is_connected_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f757]) ).

fof(f2388,plain,
    ( ~ spl121_1
    | spl121_9 ),
    inference(avatar_contradiction_clause,[],[f2387]) ).

fof(f2387,plain,
    ( $false
    | ~ spl121_1
    | spl121_9 ),
    inference(subsumption_resolution,[],[f2386,f1532]) ).

fof(f2386,plain,
    ( ~ relation(sK118)
    | ~ spl121_1
    | spl121_9 ),
    inference(subsumption_resolution,[],[f2385,f2372]) ).

fof(f2372,plain,
    ( ~ antisymmetric(sK118)
    | spl121_9 ),
    inference(avatar_component_clause,[],[f2371]) ).

fof(f2371,plain,
    ( spl121_9
  <=> antisymmetric(sK118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_9])]) ).

fof(f2385,plain,
    ( antisymmetric(sK118)
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f2359,f975]) ).

fof(f975,plain,
    ! [X0] :
      ( ~ is_antisymmetric_in(X0,relation_field(X0))
      | antisymmetric(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f614]) ).

fof(f614,plain,
    ! [X0] :
      ( ( ( antisymmetric(X0)
          | ~ is_antisymmetric_in(X0,relation_field(X0)) )
        & ( is_antisymmetric_in(X0,relation_field(X0))
          | ~ antisymmetric(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f330]) ).

fof(f330,plain,
    ! [X0] :
      ( ( antisymmetric(X0)
      <=> is_antisymmetric_in(X0,relation_field(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( relation(X0)
     => ( antisymmetric(X0)
      <=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).

fof(f2359,plain,
    ( is_antisymmetric_in(sK118,relation_field(sK118))
    | ~ spl121_1 ),
    inference(subsumption_resolution,[],[f2354,f1532]) ).

fof(f2354,plain,
    ( is_antisymmetric_in(sK118,relation_field(sK118))
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f1932,f1140]) ).

fof(f1140,plain,
    ! [X0,X1] :
      ( ~ well_orders(X0,X1)
      | is_antisymmetric_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f757]) ).

fof(f2383,plain,
    ( ~ spl121_1
    | spl121_8 ),
    inference(avatar_contradiction_clause,[],[f2382]) ).

fof(f2382,plain,
    ( $false
    | ~ spl121_1
    | spl121_8 ),
    inference(subsumption_resolution,[],[f2381,f1532]) ).

fof(f2381,plain,
    ( ~ relation(sK118)
    | ~ spl121_1
    | spl121_8 ),
    inference(subsumption_resolution,[],[f2380,f2369]) ).

fof(f2369,plain,
    ( ~ transitive(sK118)
    | spl121_8 ),
    inference(avatar_component_clause,[],[f2368]) ).

fof(f2368,plain,
    ( spl121_8
  <=> transitive(sK118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_8])]) ).

fof(f2380,plain,
    ( transitive(sK118)
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f2358,f997]) ).

fof(f997,plain,
    ! [X0] :
      ( ~ is_transitive_in(X0,relation_field(X0))
      | transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f633]) ).

fof(f633,plain,
    ! [X0] :
      ( ( ( transitive(X0)
          | ~ is_transitive_in(X0,relation_field(X0)) )
        & ( is_transitive_in(X0,relation_field(X0))
          | ~ transitive(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f336]) ).

fof(f336,plain,
    ! [X0] :
      ( ( transitive(X0)
      <=> is_transitive_in(X0,relation_field(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( relation(X0)
     => ( transitive(X0)
      <=> is_transitive_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_relat_2) ).

fof(f2358,plain,
    ( is_transitive_in(sK118,relation_field(sK118))
    | ~ spl121_1 ),
    inference(subsumption_resolution,[],[f2353,f1532]) ).

fof(f2353,plain,
    ( is_transitive_in(sK118,relation_field(sK118))
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f1932,f1139]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( ~ well_orders(X0,X1)
      | is_transitive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f757]) ).

fof(f2379,plain,
    ( ~ spl121_8
    | ~ spl121_9
    | ~ spl121_10
    | ~ spl121_11
    | ~ spl121_1
    | spl121_2 ),
    inference(avatar_split_clause,[],[f2366,f1929,f1926,f2377,f2374,f2371,f2368]) ).

fof(f1929,plain,
    ( spl121_2
  <=> well_ordering(sK118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_2])]) ).

fof(f2366,plain,
    ( ~ well_founded_relation(sK118)
    | ~ connected(sK118)
    | ~ antisymmetric(sK118)
    | ~ transitive(sK118)
    | ~ spl121_1
    | spl121_2 ),
    inference(subsumption_resolution,[],[f2365,f1532]) ).

fof(f2365,plain,
    ( ~ well_founded_relation(sK118)
    | ~ connected(sK118)
    | ~ antisymmetric(sK118)
    | ~ transitive(sK118)
    | ~ relation(sK118)
    | ~ spl121_1
    | spl121_2 ),
    inference(subsumption_resolution,[],[f2364,f1930]) ).

fof(f1930,plain,
    ( ~ well_ordering(sK118)
    | spl121_2 ),
    inference(avatar_component_clause,[],[f1929]) ).

fof(f2364,plain,
    ( ~ well_founded_relation(sK118)
    | ~ connected(sK118)
    | ~ antisymmetric(sK118)
    | ~ transitive(sK118)
    | well_ordering(sK118)
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f2363,f1119]) ).

fof(f1119,plain,
    ! [X0] :
      ( ~ reflexive(X0)
      | ~ well_founded_relation(X0)
      | ~ connected(X0)
      | ~ antisymmetric(X0)
      | ~ transitive(X0)
      | well_ordering(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f738]) ).

fof(f738,plain,
    ! [X0] :
      ( ( ( well_ordering(X0)
          | ~ well_founded_relation(X0)
          | ~ connected(X0)
          | ~ antisymmetric(X0)
          | ~ transitive(X0)
          | ~ reflexive(X0) )
        & ( ( well_founded_relation(X0)
            & connected(X0)
            & antisymmetric(X0)
            & transitive(X0)
            & reflexive(X0) )
          | ~ well_ordering(X0) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f737]) ).

fof(f737,plain,
    ! [X0] :
      ( ( ( well_ordering(X0)
          | ~ well_founded_relation(X0)
          | ~ connected(X0)
          | ~ antisymmetric(X0)
          | ~ transitive(X0)
          | ~ reflexive(X0) )
        & ( ( well_founded_relation(X0)
            & connected(X0)
            & antisymmetric(X0)
            & transitive(X0)
            & reflexive(X0) )
          | ~ well_ordering(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f354]) ).

fof(f354,plain,
    ! [X0] :
      ( ( well_ordering(X0)
      <=> ( well_founded_relation(X0)
          & connected(X0)
          & antisymmetric(X0)
          & transitive(X0)
          & reflexive(X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_ordering(X0)
      <=> ( well_founded_relation(X0)
          & connected(X0)
          & antisymmetric(X0)
          & transitive(X0)
          & reflexive(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).

fof(f2363,plain,
    ( reflexive(sK118)
    | ~ spl121_1 ),
    inference(subsumption_resolution,[],[f2362,f1532]) ).

fof(f2362,plain,
    ( reflexive(sK118)
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f2357,f1185]) ).

fof(f1185,plain,
    ! [X0] :
      ( ~ is_reflexive_in(X0,relation_field(X0))
      | reflexive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f787]) ).

fof(f787,plain,
    ! [X0] :
      ( ( ( reflexive(X0)
          | ~ is_reflexive_in(X0,relation_field(X0)) )
        & ( is_reflexive_in(X0,relation_field(X0))
          | ~ reflexive(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f373]) ).

fof(f373,plain,
    ! [X0] :
      ( ( reflexive(X0)
      <=> is_reflexive_in(X0,relation_field(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( relation(X0)
     => ( reflexive(X0)
      <=> is_reflexive_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_relat_2) ).

fof(f2357,plain,
    ( is_reflexive_in(sK118,relation_field(sK118))
    | ~ spl121_1 ),
    inference(subsumption_resolution,[],[f2352,f1532]) ).

fof(f2352,plain,
    ( is_reflexive_in(sK118,relation_field(sK118))
    | ~ relation(sK118)
    | ~ spl121_1 ),
    inference(resolution,[],[f1932,f1138]) ).

fof(f1138,plain,
    ! [X0,X1] :
      ( ~ well_orders(X0,X1)
      | is_reflexive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f757]) ).

fof(f2351,plain,
    ( ~ spl121_2
    | spl121_6 ),
    inference(avatar_contradiction_clause,[],[f2350]) ).

fof(f2350,plain,
    ( $false
    | ~ spl121_2
    | spl121_6 ),
    inference(subsumption_resolution,[],[f2349,f1532]) ).

fof(f2349,plain,
    ( ~ relation(sK118)
    | ~ spl121_2
    | spl121_6 ),
    inference(subsumption_resolution,[],[f2348,f1995]) ).

fof(f1995,plain,
    ( connected(sK118)
    | ~ spl121_2 ),
    inference(subsumption_resolution,[],[f1991,f1532]) ).

fof(f1991,plain,
    ( connected(sK118)
    | ~ relation(sK118)
    | ~ spl121_2 ),
    inference(resolution,[],[f1933,f1117]) ).

fof(f1117,plain,
    ! [X0] :
      ( ~ well_ordering(X0)
      | connected(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f738]) ).

fof(f1933,plain,
    ( well_ordering(sK118)
    | ~ spl121_2 ),
    inference(avatar_component_clause,[],[f1929]) ).

fof(f2348,plain,
    ( ~ connected(sK118)
    | ~ relation(sK118)
    | spl121_6 ),
    inference(resolution,[],[f1961,f994]) ).

fof(f994,plain,
    ! [X0] :
      ( is_connected_in(X0,relation_field(X0))
      | ~ connected(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f632]) ).

fof(f1961,plain,
    ( ~ is_connected_in(sK118,relation_field(sK118))
    | spl121_6 ),
    inference(avatar_component_clause,[],[f1960]) ).

fof(f1960,plain,
    ( spl121_6
  <=> is_connected_in(sK118,relation_field(sK118)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_6])]) ).

fof(f2347,plain,
    ( ~ spl121_2
    | spl121_5 ),
    inference(avatar_contradiction_clause,[],[f2346]) ).

fof(f2346,plain,
    ( $false
    | ~ spl121_2
    | spl121_5 ),
    inference(subsumption_resolution,[],[f2345,f1532]) ).

fof(f2345,plain,
    ( ~ relation(sK118)
    | ~ spl121_2
    | spl121_5 ),
    inference(subsumption_resolution,[],[f2344,f1994]) ).

fof(f1994,plain,
    ( antisymmetric(sK118)
    | ~ spl121_2 ),
    inference(subsumption_resolution,[],[f1990,f1532]) ).

fof(f1990,plain,
    ( antisymmetric(sK118)
    | ~ relation(sK118)
    | ~ spl121_2 ),
    inference(resolution,[],[f1933,f1116]) ).

fof(f1116,plain,
    ! [X0] :
      ( ~ well_ordering(X0)
      | antisymmetric(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f738]) ).

fof(f2344,plain,
    ( ~ antisymmetric(sK118)
    | ~ relation(sK118)
    | spl121_5 ),
    inference(resolution,[],[f1958,f974]) ).

fof(f974,plain,
    ! [X0] :
      ( is_antisymmetric_in(X0,relation_field(X0))
      | ~ antisymmetric(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f614]) ).

fof(f1958,plain,
    ( ~ is_antisymmetric_in(sK118,relation_field(sK118))
    | spl121_5 ),
    inference(avatar_component_clause,[],[f1957]) ).

fof(f1957,plain,
    ( spl121_5
  <=> is_antisymmetric_in(sK118,relation_field(sK118)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_5])]) ).

fof(f2343,plain,
    ( ~ spl121_2
    | spl121_4 ),
    inference(avatar_contradiction_clause,[],[f2342]) ).

fof(f2342,plain,
    ( $false
    | ~ spl121_2
    | spl121_4 ),
    inference(subsumption_resolution,[],[f2341,f1532]) ).

fof(f2341,plain,
    ( ~ relation(sK118)
    | ~ spl121_2
    | spl121_4 ),
    inference(subsumption_resolution,[],[f2340,f1993]) ).

fof(f1993,plain,
    ( transitive(sK118)
    | ~ spl121_2 ),
    inference(subsumption_resolution,[],[f1989,f1532]) ).

fof(f1989,plain,
    ( transitive(sK118)
    | ~ relation(sK118)
    | ~ spl121_2 ),
    inference(resolution,[],[f1933,f1115]) ).

fof(f1115,plain,
    ! [X0] :
      ( ~ well_ordering(X0)
      | transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f738]) ).

fof(f2340,plain,
    ( ~ transitive(sK118)
    | ~ relation(sK118)
    | spl121_4 ),
    inference(resolution,[],[f1955,f996]) ).

fof(f996,plain,
    ! [X0] :
      ( is_transitive_in(X0,relation_field(X0))
      | ~ transitive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f633]) ).

fof(f1955,plain,
    ( ~ is_transitive_in(sK118,relation_field(sK118))
    | spl121_4 ),
    inference(avatar_component_clause,[],[f1954]) ).

fof(f1954,plain,
    ( spl121_4
  <=> is_transitive_in(sK118,relation_field(sK118)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_4])]) ).

fof(f2337,plain,
    ( ~ spl121_3
    | ~ spl121_4
    | ~ spl121_5
    | ~ spl121_6
    | ~ spl121_7
    | spl121_1 ),
    inference(avatar_split_clause,[],[f2336,f1926,f1963,f1960,f1957,f1954,f1951]) ).

fof(f1951,plain,
    ( spl121_3
  <=> is_reflexive_in(sK118,relation_field(sK118)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_3])]) ).

fof(f1963,plain,
    ( spl121_7
  <=> is_well_founded_in(sK118,relation_field(sK118)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl121_7])]) ).

fof(f2336,plain,
    ( ~ is_well_founded_in(sK118,relation_field(sK118))
    | ~ is_connected_in(sK118,relation_field(sK118))
    | ~ is_antisymmetric_in(sK118,relation_field(sK118))
    | ~ is_transitive_in(sK118,relation_field(sK118))
    | ~ is_reflexive_in(sK118,relation_field(sK118))
    | spl121_1 ),
    inference(subsumption_resolution,[],[f1997,f1532]) ).

fof(f1997,plain,
    ( ~ is_well_founded_in(sK118,relation_field(sK118))
    | ~ is_connected_in(sK118,relation_field(sK118))
    | ~ is_antisymmetric_in(sK118,relation_field(sK118))
    | ~ is_transitive_in(sK118,relation_field(sK118))
    | ~ is_reflexive_in(sK118,relation_field(sK118))
    | ~ relation(sK118)
    | spl121_1 ),
    inference(resolution,[],[f1927,f1143]) ).

fof(f1143,plain,
    ! [X0,X1] :
      ( well_orders(X0,X1)
      | ~ is_well_founded_in(X0,X1)
      | ~ is_connected_in(X0,X1)
      | ~ is_antisymmetric_in(X0,X1)
      | ~ is_transitive_in(X0,X1)
      | ~ is_reflexive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f757]) ).

fof(f1927,plain,
    ( ~ well_orders(sK118,relation_field(sK118))
    | spl121_1 ),
    inference(avatar_component_clause,[],[f1926]) ).

fof(f2335,plain,
    ( ~ spl121_2
    | spl121_7 ),
    inference(avatar_contradiction_clause,[],[f2334]) ).

fof(f2334,plain,
    ( $false
    | ~ spl121_2
    | spl121_7 ),
    inference(subsumption_resolution,[],[f2333,f1532]) ).

fof(f2333,plain,
    ( ~ relation(sK118)
    | ~ spl121_2
    | spl121_7 ),
    inference(subsumption_resolution,[],[f2332,f1996]) ).

fof(f1996,plain,
    ( well_founded_relation(sK118)
    | ~ spl121_2 ),
    inference(subsumption_resolution,[],[f1992,f1532]) ).

fof(f1992,plain,
    ( well_founded_relation(sK118)
    | ~ relation(sK118)
    | ~ spl121_2 ),
    inference(resolution,[],[f1933,f1118]) ).

fof(f1118,plain,
    ! [X0] :
      ( ~ well_ordering(X0)
      | well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f738]) ).

fof(f2332,plain,
    ( ~ well_founded_relation(sK118)
    | ~ relation(sK118)
    | spl121_7 ),
    inference(resolution,[],[f1491,f1964]) ).

fof(f1964,plain,
    ( ~ is_well_founded_in(sK118,relation_field(sK118))
    | spl121_7 ),
    inference(avatar_component_clause,[],[f1963]) ).

fof(f1491,plain,
    ! [X0] :
      ( is_well_founded_in(X0,relation_field(X0))
      | ~ well_founded_relation(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f903]) ).

fof(f1976,plain,
    ( ~ spl121_2
    | spl121_3 ),
    inference(avatar_split_clause,[],[f1975,f1951,f1929]) ).

fof(f1975,plain,
    ( ~ well_ordering(sK118)
    | spl121_3 ),
    inference(subsumption_resolution,[],[f1971,f1532]) ).

fof(f1971,plain,
    ( ~ well_ordering(sK118)
    | ~ relation(sK118)
    | spl121_3 ),
    inference(resolution,[],[f1970,f1114]) ).

fof(f1114,plain,
    ! [X0] :
      ( reflexive(X0)
      | ~ well_ordering(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f738]) ).

fof(f1970,plain,
    ( ~ reflexive(sK118)
    | spl121_3 ),
    inference(subsumption_resolution,[],[f1969,f1532]) ).

fof(f1969,plain,
    ( ~ reflexive(sK118)
    | ~ relation(sK118)
    | spl121_3 ),
    inference(resolution,[],[f1952,f1184]) ).

fof(f1184,plain,
    ! [X0] :
      ( is_reflexive_in(X0,relation_field(X0))
      | ~ reflexive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f787]) ).

fof(f1952,plain,
    ( ~ is_reflexive_in(sK118,relation_field(sK118))
    | spl121_3 ),
    inference(avatar_component_clause,[],[f1951]) ).

fof(f1934,plain,
    ( spl121_1
    | spl121_2 ),
    inference(avatar_split_clause,[],[f1533,f1929,f1926]) ).

fof(f1533,plain,
    ( well_ordering(sK118)
    | well_orders(sK118,relation_field(sK118)) ),
    inference(cnf_transformation,[],[f923]) ).

fof(f1931,plain,
    ( ~ spl121_1
    | ~ spl121_2 ),
    inference(avatar_split_clause,[],[f1534,f1929,f1926]) ).

fof(f1534,plain,
    ( ~ well_ordering(sK118)
    | ~ well_orders(sK118,relation_field(sK118)) ),
    inference(cnf_transformation,[],[f923]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU244+2 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 17:30:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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/benchmark/theBenchmark.p
% 0.61/0.79  % (16500)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.79  % (16495)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.79  % (16496)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 theBenchmark for (2995ds/51Mi)
% 0.61/0.79  % (16497)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.79  % (16498)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.79  % (16499)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.80  % (16502)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.61/0.81  % (16500)Instruction limit reached!
% 0.61/0.81  % (16500)------------------------------
% 0.61/0.81  % (16500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (16500)Termination reason: Unknown
% 0.61/0.81  % (16500)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (16500)Memory used [KB]: 2083
% 0.61/0.81  % (16500)Time elapsed: 0.015 s
% 0.61/0.81  % (16500)Instructions burned: 46 (million)
% 0.61/0.81  % (16500)------------------------------
% 0.61/0.81  % (16500)------------------------------
% 0.61/0.81  % (16501)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 theBenchmark for (2995ds/83Mi)
% 0.61/0.81  % (16495)Instruction limit reached!
% 0.61/0.81  % (16495)------------------------------
% 0.61/0.81  % (16495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (16495)Termination reason: Unknown
% 0.61/0.81  % (16495)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (16495)Memory used [KB]: 1948
% 0.61/0.81  % (16495)Time elapsed: 0.018 s
% 0.61/0.81  % (16495)Instructions burned: 35 (million)
% 0.61/0.81  % (16495)------------------------------
% 0.61/0.81  % (16495)------------------------------
% 0.61/0.81  % (16499)Instruction limit reached!
% 0.61/0.81  % (16499)------------------------------
% 0.61/0.81  % (16499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (16499)Termination reason: Unknown
% 0.61/0.81  % (16499)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (16499)Memory used [KB]: 2136
% 0.61/0.81  % (16499)Time elapsed: 0.019 s
% 0.61/0.81  % (16499)Instructions burned: 35 (million)
% 0.61/0.81  % (16499)------------------------------
% 0.61/0.81  % (16499)------------------------------
% 0.61/0.81  % (16498)Instruction limit reached!
% 0.61/0.81  % (16498)------------------------------
% 0.61/0.81  % (16498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (16498)Termination reason: Unknown
% 0.61/0.81  % (16498)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (16498)Memory used [KB]: 1953
% 0.61/0.81  % (16498)Time elapsed: 0.017 s
% 0.61/0.81  % (16498)Instructions burned: 35 (million)
% 0.61/0.81  % (16498)------------------------------
% 0.61/0.81  % (16498)------------------------------
% 0.61/0.81  % (16506)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 theBenchmark for (2995ds/52Mi)
% 0.61/0.82  % (16503)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 theBenchmark for (2995ds/55Mi)
% 0.61/0.82  % (16504)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 theBenchmark for (2995ds/50Mi)
% 0.61/0.82  % (16505)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.61/0.82  % (16496)Instruction limit reached!
% 0.61/0.82  % (16496)------------------------------
% 0.61/0.82  % (16496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (16496)Termination reason: Unknown
% 0.61/0.82  % (16496)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (16496)Memory used [KB]: 2202
% 0.61/0.82  % (16496)Time elapsed: 0.029 s
% 0.61/0.82  % (16496)Instructions burned: 51 (million)
% 0.61/0.82  % (16496)------------------------------
% 0.61/0.82  % (16496)------------------------------
% 0.61/0.83  % (16507)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 theBenchmark for (2995ds/518Mi)
% 0.61/0.83  % (16502)Instruction limit reached!
% 0.61/0.83  % (16502)------------------------------
% 0.61/0.83  % (16502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (16502)Termination reason: Unknown
% 0.61/0.83  % (16502)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (16502)Memory used [KB]: 2270
% 0.61/0.83  % (16502)Time elapsed: 0.029 s
% 0.61/0.83  % (16502)Instructions burned: 57 (million)
% 0.61/0.83  % (16502)------------------------------
% 0.61/0.83  % (16502)------------------------------
% 0.61/0.83  % (16506)Instruction limit reached!
% 0.61/0.83  % (16506)------------------------------
% 0.61/0.83  % (16506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (16506)Termination reason: Unknown
% 0.61/0.83  % (16506)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (16506)Memory used [KB]: 2212
% 0.61/0.83  % (16506)Time elapsed: 0.020 s
% 0.61/0.83  % (16506)Instructions burned: 54 (million)
% 0.61/0.83  % (16506)------------------------------
% 0.61/0.83  % (16506)------------------------------
% 0.61/0.84  % (16509)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 theBenchmark for (2995ds/243Mi)
% 0.61/0.84  % (16504)Instruction limit reached!
% 0.61/0.84  % (16504)------------------------------
% 0.61/0.84  % (16504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (16504)Termination reason: Unknown
% 0.61/0.84  % (16504)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (16504)Memory used [KB]: 2414
% 0.61/0.84  % (16504)Time elapsed: 0.027 s
% 0.61/0.84  % (16504)Instructions burned: 51 (million)
% 0.61/0.84  % (16504)------------------------------
% 0.61/0.84  % (16504)------------------------------
% 0.61/0.84  % (16508)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 theBenchmark for (2995ds/42Mi)
% 0.61/0.84  % (16497)Instruction limit reached!
% 0.61/0.84  % (16497)------------------------------
% 0.61/0.84  % (16497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (16497)Termination reason: Unknown
% 0.61/0.84  % (16497)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (16497)Memory used [KB]: 2421
% 0.61/0.84  % (16497)Time elapsed: 0.046 s
% 0.61/0.84  % (16497)Instructions burned: 79 (million)
% 0.61/0.84  % (16497)------------------------------
% 0.61/0.84  % (16497)------------------------------
% 0.61/0.85  % (16510)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.61/0.85  % (16503)Instruction limit reached!
% 0.61/0.85  % (16503)------------------------------
% 0.61/0.85  % (16503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (16503)Termination reason: Unknown
% 0.61/0.85  % (16503)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (16503)Memory used [KB]: 2293
% 0.61/0.85  % (16503)Time elapsed: 0.032 s
% 0.61/0.85  % (16503)Instructions burned: 56 (million)
% 0.61/0.85  % (16503)------------------------------
% 0.61/0.85  % (16503)------------------------------
% 0.61/0.85  % (16501)Instruction limit reached!
% 0.61/0.85  % (16501)------------------------------
% 0.61/0.85  % (16501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (16501)Termination reason: Unknown
% 0.61/0.85  % (16501)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (16501)Memory used [KB]: 2584
% 0.61/0.85  % (16501)Time elapsed: 0.067 s
% 0.61/0.85  % (16501)Instructions burned: 83 (million)
% 0.61/0.85  % (16501)------------------------------
% 0.61/0.85  % (16501)------------------------------
% 0.61/0.85  % (16511)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 theBenchmark for (2995ds/143Mi)
% 0.61/0.85  % (16513)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 theBenchmark for (2995ds/62Mi)
% 0.61/0.86  % (16512)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 theBenchmark for (2995ds/93Mi)
% 0.61/0.86  % (16508)Instruction limit reached!
% 0.61/0.86  % (16508)------------------------------
% 0.61/0.86  % (16508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.86  % (16508)Termination reason: Unknown
% 0.61/0.86  % (16508)Termination phase: Saturation
% 0.61/0.86  
% 0.61/0.86  % (16508)Memory used [KB]: 2116
% 0.61/0.86  % (16508)Time elapsed: 0.023 s
% 0.61/0.86  % (16508)Instructions burned: 43 (million)
% 0.61/0.86  % (16508)------------------------------
% 0.61/0.86  % (16508)------------------------------
% 0.96/0.87  % (16514)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 theBenchmark for (2994ds/32Mi)
% 0.96/0.88  % (16514)Instruction limit reached!
% 0.96/0.88  % (16514)------------------------------
% 0.96/0.88  % (16514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.88  % (16514)Termination reason: Unknown
% 0.96/0.88  % (16514)Termination phase: Saturation
% 0.96/0.88  
% 0.96/0.88  % (16514)Memory used [KB]: 1788
% 0.96/0.88  % (16514)Time elapsed: 0.012 s
% 0.96/0.88  % (16514)Instructions burned: 32 (million)
% 0.96/0.88  % (16514)------------------------------
% 0.96/0.88  % (16514)------------------------------
% 0.96/0.88  % (16515)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 theBenchmark for (2994ds/1919Mi)
% 0.96/0.89  % (16513)Instruction limit reached!
% 0.96/0.89  % (16513)------------------------------
% 0.96/0.89  % (16513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.89  % (16513)Termination reason: Unknown
% 0.96/0.89  % (16513)Termination phase: Saturation
% 0.96/0.89  
% 0.96/0.89  % (16513)Memory used [KB]: 2346
% 0.96/0.89  % (16513)Time elapsed: 0.034 s
% 0.96/0.89  % (16513)Instructions burned: 63 (million)
% 0.96/0.89  % (16513)------------------------------
% 0.96/0.89  % (16513)------------------------------
% 1.00/0.89  % (16516)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 theBenchmark for (2994ds/55Mi)
% 1.00/0.90  % (16512)Instruction limit reached!
% 1.00/0.90  % (16512)------------------------------
% 1.00/0.90  % (16512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.90  % (16512)Termination reason: Unknown
% 1.00/0.90  % (16512)Termination phase: Saturation
% 1.00/0.90  
% 1.00/0.90  % (16512)Memory used [KB]: 2293
% 1.00/0.90  % (16512)Time elapsed: 0.059 s
% 1.00/0.90  % (16512)Instructions burned: 93 (million)
% 1.00/0.90  % (16512)------------------------------
% 1.00/0.90  % (16512)------------------------------
% 1.00/0.90  % (16517)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 theBenchmark for (2994ds/53Mi)
% 1.00/0.91  % (16510)Instruction limit reached!
% 1.00/0.91  % (16510)------------------------------
% 1.00/0.91  % (16510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.91  % (16510)Termination reason: Unknown
% 1.00/0.91  % (16510)Termination phase: Saturation
% 1.00/0.91  
% 1.00/0.91  % (16510)Memory used [KB]: 2610
% 1.00/0.91  % (16510)Time elapsed: 0.067 s
% 1.00/0.91  % (16510)Instructions burned: 118 (million)
% 1.00/0.91  % (16510)------------------------------
% 1.00/0.91  % (16510)------------------------------
% 1.00/0.91  % (16517)Instruction limit reached!
% 1.00/0.91  % (16517)------------------------------
% 1.00/0.91  % (16517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.91  % (16517)Termination reason: Unknown
% 1.00/0.91  % (16517)Termination phase: Saturation
% 1.00/0.91  
% 1.00/0.91  % (16517)Memory used [KB]: 2130
% 1.00/0.91  % (16517)Time elapsed: 0.016 s
% 1.00/0.91  % (16517)Instructions burned: 56 (million)
% 1.00/0.92  % (16517)------------------------------
% 1.00/0.92  % (16517)------------------------------
% 1.00/0.92  % (16518)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 theBenchmark for (2994ds/46Mi)
% 1.00/0.92  % (16519)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2994ds/102Mi)
% 1.13/0.92  % (16516)Instruction limit reached!
% 1.13/0.92  % (16516)------------------------------
% 1.13/0.92  % (16516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/0.92  % (16516)Termination reason: Unknown
% 1.13/0.92  % (16516)Termination phase: Saturation
% 1.13/0.92  
% 1.13/0.92  % (16516)Memory used [KB]: 2355
% 1.13/0.92  % (16516)Time elapsed: 0.031 s
% 1.13/0.92  % (16516)Instructions burned: 56 (million)
% 1.13/0.92  % (16516)------------------------------
% 1.13/0.92  % (16516)------------------------------
% 1.13/0.92  % (16509)Instruction limit reached!
% 1.13/0.92  % (16509)------------------------------
% 1.13/0.92  % (16509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/0.92  % (16509)Termination reason: Unknown
% 1.13/0.92  % (16509)Termination phase: Saturation
% 1.13/0.92  
% 1.13/0.92  % (16509)Memory used [KB]: 3290
% 1.13/0.92  % (16509)Time elapsed: 0.087 s
% 1.13/0.92  % (16509)Instructions burned: 244 (million)
% 1.13/0.92  % (16509)------------------------------
% 1.13/0.92  % (16509)------------------------------
% 1.25/0.92  % (16511)Instruction limit reached!
% 1.25/0.92  % (16511)------------------------------
% 1.25/0.92  % (16511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.92  % (16511)Termination reason: Unknown
% 1.25/0.92  % (16511)Termination phase: Saturation
% 1.25/0.92  
% 1.25/0.92  % (16511)Memory used [KB]: 2921
% 1.25/0.92  % (16511)Time elapsed: 0.074 s
% 1.25/0.92  % (16511)Instructions burned: 143 (million)
% 1.25/0.92  % (16511)------------------------------
% 1.25/0.92  % (16511)------------------------------
% 1.25/0.92  % (16521)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2994ds/87Mi)
% 1.25/0.93  % (16520)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2994ds/35Mi)
% 1.25/0.93  % (16522)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2994ds/109Mi)
% 1.25/0.94  % (16518)Instruction limit reached!
% 1.25/0.94  % (16518)------------------------------
% 1.25/0.94  % (16518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.94  % (16518)Termination reason: Unknown
% 1.25/0.94  % (16518)Termination phase: Saturation
% 1.25/0.94  
% 1.25/0.94  % (16518)Memory used [KB]: 2426
% 1.25/0.94  % (16518)Time elapsed: 0.024 s
% 1.25/0.94  % (16518)Instructions burned: 46 (million)
% 1.25/0.94  % (16518)------------------------------
% 1.25/0.94  % (16518)------------------------------
% 1.25/0.94  % (16523)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2994ds/161Mi)
% 1.25/0.94  % (16520)Instruction limit reached!
% 1.25/0.94  % (16520)------------------------------
% 1.25/0.94  % (16520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.94  % (16520)Termination reason: Unknown
% 1.25/0.94  % (16520)Termination phase: Saturation
% 1.25/0.94  
% 1.25/0.94  % (16520)Memory used [KB]: 2017
% 1.25/0.94  % (16520)Time elapsed: 0.019 s
% 1.25/0.94  % (16520)Instructions burned: 37 (million)
% 1.25/0.94  % (16520)------------------------------
% 1.25/0.94  % (16520)------------------------------
% 1.25/0.95  % (16524)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 1.25/0.95  % (16521)Instruction limit reached!
% 1.25/0.95  % (16521)------------------------------
% 1.25/0.95  % (16521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.95  % (16521)Termination reason: Unknown
% 1.25/0.95  % (16521)Termination phase: Saturation
% 1.25/0.95  
% 1.25/0.95  % (16521)Memory used [KB]: 2609
% 1.25/0.95  % (16521)Time elapsed: 0.029 s
% 1.25/0.95  % (16521)Instructions burned: 89 (million)
% 1.25/0.95  % (16521)------------------------------
% 1.25/0.95  % (16521)------------------------------
% 1.25/0.95  % (16505)Instruction limit reached!
% 1.25/0.95  % (16505)------------------------------
% 1.25/0.95  % (16505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.95  % (16505)Termination reason: Unknown
% 1.25/0.95  % (16505)Termination phase: Saturation
% 1.25/0.95  
% 1.25/0.95  % (16505)Memory used [KB]: 3181
% 1.25/0.95  % (16505)Time elapsed: 0.138 s
% 1.25/0.95  % (16505)Instructions burned: 209 (million)
% 1.25/0.95  % (16505)------------------------------
% 1.25/0.95  % (16505)------------------------------
% 1.25/0.96  % (16525)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 1.25/0.96  % (16526)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 1.25/0.96  % (16519)Instruction limit reached!
% 1.25/0.96  % (16519)------------------------------
% 1.25/0.96  % (16519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.96  % (16519)Termination reason: Unknown
% 1.25/0.96  % (16519)Termination phase: Saturation
% 1.25/0.96  
% 1.25/0.96  % (16519)Memory used [KB]: 3418
% 1.25/0.96  % (16519)Time elapsed: 0.042 s
% 1.25/0.96  % (16519)Instructions burned: 104 (million)
% 1.25/0.96  % (16519)------------------------------
% 1.25/0.96  % (16519)------------------------------
% 1.25/0.96  % (16522)Instruction limit reached!
% 1.25/0.96  % (16522)------------------------------
% 1.25/0.96  % (16522)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.96  % (16522)Termination reason: Unknown
% 1.25/0.96  % (16522)Termination phase: Saturation
% 1.25/0.96  
% 1.25/0.96  % (16522)Memory used [KB]: 2776
% 1.25/0.96  % (16522)Time elapsed: 0.034 s
% 1.25/0.96  % (16522)Instructions burned: 111 (million)
% 1.25/0.96  % (16522)------------------------------
% 1.25/0.96  % (16522)------------------------------
% 1.25/0.96  % (16527)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2994ds/161Mi)
% 1.25/0.96  % (16528)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 1.25/0.97  % (16525)Instruction limit reached!
% 1.25/0.97  % (16525)------------------------------
% 1.25/0.97  % (16525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.97  % (16525)Termination reason: Unknown
% 1.25/0.97  % (16525)Termination phase: Property scanning
% 1.25/0.97  
% 1.25/0.97  % (16525)Memory used [KB]: 2055
% 1.25/0.97  % (16525)Time elapsed: 0.015 s
% 1.25/0.97  % (16525)Instructions burned: 44 (million)
% 1.25/0.97  % (16525)------------------------------
% 1.25/0.97  % (16525)------------------------------
% 1.25/0.97  % (16529)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2993ds/37Mi)
% 1.25/0.97  % (16524)Instruction limit reached!
% 1.25/0.97  % (16524)------------------------------
% 1.25/0.97  % (16524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.97  % (16524)Termination reason: Unknown
% 1.25/0.97  % (16524)Termination phase: Saturation
% 1.25/0.97  
% 1.25/0.97  % (16524)Memory used [KB]: 2520
% 1.25/0.97  % (16524)Time elapsed: 0.028 s
% 1.25/0.97  % (16524)Instructions burned: 71 (million)
% 1.25/0.97  % (16524)------------------------------
% 1.25/0.97  % (16524)------------------------------
% 1.25/0.97  % (16523)First to succeed.
% 1.25/0.97  % (16523)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16494"
% 1.25/0.98  % (16530)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2993ds/55Mi)
% 1.25/0.98  % (16523)Refutation found. Thanks to Tanya!
% 1.25/0.98  % SZS status Theorem for theBenchmark
% 1.25/0.98  % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.98  % (16523)------------------------------
% 1.25/0.98  % (16523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/0.98  % (16523)Termination reason: Refutation
% 1.25/0.98  
% 1.25/0.98  % (16523)Memory used [KB]: 2273
% 1.25/0.98  % (16523)Time elapsed: 0.035 s
% 1.25/0.98  % (16523)Instructions burned: 76 (million)
% 1.25/0.98  % (16494)Success in time 0.609 s
% 1.25/0.98  % Vampire---4.8 exiting
%------------------------------------------------------------------------------