TSTP Solution File: GRA008+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRA008+1 : TPTP v8.2.0. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 : Mon May 20 20:42:18 EDT 2024

% Result   : Theorem 0.62s 0.76s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  183 (  25 unt;   0 def)
%            Number of atoms       :  602 ( 119 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  716 ( 297   ~; 277   |;  84   &)
%                                         (  26 <=>;  25  =>;   0  <=;   7 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  12 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  296 ( 272   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1028,plain,
    $false,
    inference(avatar_sat_refutation,[],[f164,f236,f240,f242,f282,f570,f916,f975,f986,f1016,f1027]) ).

fof(f1027,plain,
    ( ~ spl28_9
    | ~ spl28_10 ),
    inference(avatar_contradiction_clause,[],[f1026]) ).

fof(f1026,plain,
    ( $false
    | ~ spl28_9
    | ~ spl28_10 ),
    inference(subsumption_resolution,[],[f1025,f126]) ).

fof(f126,plain,
    head_of(sK2) != tail_of(sK2),
    inference(unit_resulting_resolution,[],[f120,f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ edge(X0)
      | head_of(X0) != tail_of(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( head_of(X0) != tail_of(X0)
      | ~ edge(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( edge(X0)
     => head_of(X0) != tail_of(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_loops) ).

fof(f120,plain,
    edge(sK2),
    inference(unit_resulting_resolution,[],[f45,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | edge(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( sequential(X0,X1)
    <=> ( head_of(X0) = tail_of(X1)
        & X0 != X1
        & edge(X1)
        & edge(X0) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X6,X7] :
      ( sequential(X6,X7)
    <=> ( head_of(X6) = tail_of(X7)
        & X6 != X7
        & edge(X7)
        & edge(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_defn) ).

fof(f45,plain,
    sequential(sK2,sK3),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ! [X5] : ~ triangle(X2,X3,X5)
        & sequential(X2,X3)
        & precedes(X2,X3,X4)
        & shortest_path(X0,X1,X4) )
    & complete ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ! [X5] : ~ triangle(X2,X3,X5)
        & sequential(X2,X3)
        & precedes(X2,X3,X4)
        & shortest_path(X0,X1,X4) )
    & complete ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ( complete
     => ! [X0,X1,X2,X3,X4] :
          ( ( sequential(X2,X3)
            & precedes(X2,X3,X4)
            & shortest_path(X0,X1,X4) )
         => ? [X5] : triangle(X2,X3,X5) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ( complete
     => ! [X1,X2,X6,X7,X3] :
          ( ( sequential(X6,X7)
            & precedes(X6,X7,X3)
            & shortest_path(X1,X2,X3) )
         => ? [X8] : triangle(X6,X7,X8) ) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ( complete
   => ! [X1,X2,X6,X7,X3] :
        ( ( sequential(X6,X7)
          & precedes(X6,X7,X3)
          & shortest_path(X1,X2,X3) )
       => ? [X8] : triangle(X6,X7,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_is_triangle) ).

fof(f1025,plain,
    ( head_of(sK2) = tail_of(sK2)
    | ~ spl28_9
    | ~ spl28_10 ),
    inference(forward_demodulation,[],[f276,f281]) ).

fof(f281,plain,
    ( sK2 = sK3
    | ~ spl28_10 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl28_10
  <=> sK2 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).

fof(f276,plain,
    ( tail_of(sK2) = head_of(sK3)
    | ~ spl28_9 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl28_9
  <=> tail_of(sK2) = head_of(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).

fof(f1016,plain,
    ( spl28_9
    | ~ spl28_25 ),
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1015,plain,
    ( $false
    | spl28_9
    | ~ spl28_25 ),
    inference(subsumption_resolution,[],[f1014,f135]) ).

fof(f135,plain,
    head_of(sK2) != head_of(sK3),
    inference(forward_demodulation,[],[f130,f122]) ).

fof(f122,plain,
    head_of(sK2) = tail_of(sK3),
    inference(unit_resulting_resolution,[],[f45,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | head_of(X0) = tail_of(X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f130,plain,
    tail_of(sK3) != head_of(sK3),
    inference(unit_resulting_resolution,[],[f121,f75]) ).

fof(f121,plain,
    edge(sK3),
    inference(unit_resulting_resolution,[],[f45,f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | edge(X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f1014,plain,
    ( head_of(sK2) = head_of(sK3)
    | spl28_9
    | ~ spl28_25 ),
    inference(subsumption_resolution,[],[f1013,f47]) ).

fof(f47,plain,
    complete,
    inference(cnf_transformation,[],[f30]) ).

fof(f1013,plain,
    ( ~ complete
    | head_of(sK2) = head_of(sK3)
    | spl28_9
    | ~ spl28_25 ),
    inference(subsumption_resolution,[],[f1012,f277]) ).

fof(f277,plain,
    ( tail_of(sK2) != head_of(sK3)
    | spl28_9 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f1012,plain,
    ( tail_of(sK2) = head_of(sK3)
    | ~ complete
    | head_of(sK2) = head_of(sK3)
    | ~ spl28_25 ),
    inference(subsumption_resolution,[],[f1011,f128]) ).

fof(f128,plain,
    vertex(tail_of(sK2)),
    inference(unit_resulting_resolution,[],[f120,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( vertex(tail_of(X0))
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ( vertex(tail_of(X0))
        & vertex(head_of(X0)) )
      | ~ edge(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( edge(X0)
     => ( vertex(tail_of(X0))
        & vertex(head_of(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',edge_ends_are_vertices) ).

fof(f1011,plain,
    ( ~ vertex(tail_of(sK2))
    | tail_of(sK2) = head_of(sK3)
    | ~ complete
    | head_of(sK2) = head_of(sK3)
    | ~ spl28_25 ),
    inference(subsumption_resolution,[],[f1010,f131]) ).

fof(f131,plain,
    vertex(head_of(sK3)),
    inference(unit_resulting_resolution,[],[f121,f76]) ).

fof(f76,plain,
    ! [X0] :
      ( vertex(head_of(X0))
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f1010,plain,
    ( ~ vertex(head_of(sK3))
    | ~ vertex(tail_of(sK2))
    | tail_of(sK2) = head_of(sK3)
    | ~ complete
    | head_of(sK2) = head_of(sK3)
    | ~ spl28_25 ),
    inference(subsumption_resolution,[],[f1004,f286]) ).

fof(f286,plain,
    ! [X0] : ~ sP6(sK2,tail_of(sK2),X0),
    inference(unit_resulting_resolution,[],[f126,f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ sP6(X2,X1,X0)
      | head_of(X2) = X1 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ! [X0,X1] :
        ( ? [X2] :
            ( ( ( tail_of(X2) = X1
                & head_of(X2) = X0 )
            <~> ( tail_of(X2) = X0
                & head_of(X2) = X1 ) )
            & edge(X2) )
        | X0 = X1
        | ~ vertex(X1)
        | ~ vertex(X0) )
    | ~ complete ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ( ! [X0,X1] :
        ( ? [X2] :
            ( ( ( tail_of(X2) = X1
                & head_of(X2) = X0 )
            <~> ( tail_of(X2) = X0
                & head_of(X2) = X1 ) )
            & edge(X2) )
        | X0 = X1
        | ~ vertex(X1)
        | ~ vertex(X0) )
    | ~ complete ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ( complete
   => ! [X0,X1] :
        ( ( X0 != X1
          & vertex(X1)
          & vertex(X0) )
       => ? [X2] :
            ( ( ( tail_of(X2) = X1
                & head_of(X2) = X0 )
            <~> ( tail_of(X2) = X0
                & head_of(X2) = X1 ) )
            & edge(X2) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ( complete
   => ! [X1,X2] :
        ( ( X1 != X2
          & vertex(X2)
          & vertex(X1) )
       => ? [X0] :
            ( ( ( tail_of(X0) = X2
                & head_of(X0) = X1 )
            <~> ( tail_of(X0) = X1
                & head_of(X0) = X2 ) )
            & edge(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complete_properties) ).

fof(f1004,plain,
    ( sP6(sK2,tail_of(sK2),head_of(sK3))
    | ~ vertex(head_of(sK3))
    | ~ vertex(tail_of(sK2))
    | tail_of(sK2) = head_of(sK3)
    | ~ complete
    | head_of(sK2) = head_of(sK3)
    | ~ spl28_25 ),
    inference(superposition,[],[f52,f565]) ).

fof(f565,plain,
    ( sK2 = sK5(head_of(sK3),tail_of(sK2))
    | ~ spl28_25 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f563,plain,
    ( spl28_25
  <=> sK2 = sK5(head_of(sK3),tail_of(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_25])]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( sP6(sK5(X0,X1),X1,X0)
      | ~ vertex(X0)
      | ~ vertex(X1)
      | X0 = X1
      | ~ complete
      | head_of(sK5(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f986,plain,
    ( ~ spl28_23
    | ~ spl28_24 ),
    inference(avatar_contradiction_clause,[],[f985]) ).

fof(f985,plain,
    ( $false
    | ~ spl28_23
    | ~ spl28_24 ),
    inference(subsumption_resolution,[],[f984,f135]) ).

fof(f984,plain,
    ( head_of(sK2) = head_of(sK3)
    | ~ spl28_23
    | ~ spl28_24 ),
    inference(forward_demodulation,[],[f983,f122]) ).

fof(f983,plain,
    ( tail_of(sK3) = head_of(sK3)
    | ~ spl28_23
    | ~ spl28_24 ),
    inference(forward_demodulation,[],[f556,f561]) ).

fof(f561,plain,
    ( sK3 = sK5(head_of(sK3),tail_of(sK2))
    | ~ spl28_24 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl28_24
  <=> sK3 = sK5(head_of(sK3),tail_of(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_24])]) ).

fof(f556,plain,
    ( head_of(sK3) = tail_of(sK5(head_of(sK3),tail_of(sK2)))
    | ~ spl28_23 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl28_23
  <=> head_of(sK3) = tail_of(sK5(head_of(sK3),tail_of(sK2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_23])]) ).

fof(f975,plain,
    ( spl28_9
    | spl28_23 ),
    inference(avatar_contradiction_clause,[],[f974]) ).

fof(f974,plain,
    ( $false
    | spl28_9
    | spl28_23 ),
    inference(subsumption_resolution,[],[f962,f937]) ).

fof(f937,plain,
    ( tail_of(sK2) = tail_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_9
    | spl28_23 ),
    inference(unit_resulting_resolution,[],[f47,f131,f128,f277,f923,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( sP6(sK5(X0,X1),X1,X0)
      | ~ vertex(X0)
      | ~ vertex(X1)
      | X0 = X1
      | ~ complete
      | tail_of(sK5(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f923,plain,
    ( ! [X0] : ~ sP6(sK5(head_of(sK3),tail_of(sK2)),X0,head_of(sK3))
    | spl28_23 ),
    inference(unit_resulting_resolution,[],[f557,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ sP6(X2,X1,X0)
      | tail_of(X2) = X0 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f557,plain,
    ( head_of(sK3) != tail_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_23 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f962,plain,
    ( tail_of(sK2) != tail_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_9
    | spl28_23 ),
    inference(unit_resulting_resolution,[],[f936,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( tail_of(X0) != tail_of(sK2)
      | head_of(X0) != head_of(sK3) ),
    inference(resolution,[],[f149,f119]) ).

fof(f119,plain,
    ! [X2,X3,X5] :
      ( ~ sP27(X3,X2)
      | head_of(X5) != head_of(X3)
      | tail_of(X2) != tail_of(X5) ),
    inference(general_splitting,[],[f117,f118_D]) ).

fof(f118,plain,
    ! [X2,X3,X4] :
      ( ~ precedes(X2,X3,X4)
      | ~ sP26(X4)
      | sP27(X3,X2) ),
    inference(cnf_transformation,[],[f118_D]) ).

fof(f118_D,plain,
    ! [X2,X3] :
      ( ! [X4] :
          ( ~ precedes(X2,X3,X4)
          | ~ sP26(X4) )
    <=> ~ sP27(X3,X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f117,plain,
    ! [X2,X3,X4,X5] :
      ( ~ precedes(X2,X3,X4)
      | tail_of(X2) != tail_of(X5)
      | head_of(X5) != head_of(X3)
      | ~ sP26(X4) ),
    inference(general_splitting,[],[f115,f116_D]) ).

fof(f116,plain,
    ! [X1,X4] :
      ( ~ sP25(X4,X1)
      | sP26(X4) ),
    inference(cnf_transformation,[],[f116_D]) ).

fof(f116_D,plain,
    ! [X4] :
      ( ! [X1] : ~ sP25(X4,X1)
    <=> ~ sP26(X4) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).

fof(f115,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ precedes(X2,X3,X4)
      | tail_of(X2) != tail_of(X5)
      | head_of(X5) != head_of(X3)
      | ~ sP25(X4,X1) ),
    inference(general_splitting,[],[f67,f114_D]) ).

fof(f114,plain,
    ! [X0,X1,X4] :
      ( ~ shortest_path(X0,X1,X4)
      | sP25(X4,X1) ),
    inference(cnf_transformation,[],[f114_D]) ).

fof(f114_D,plain,
    ! [X1,X4] :
      ( ! [X0] : ~ shortest_path(X0,X1,X4)
    <=> ~ sP25(X4,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ shortest_path(X0,X1,X4)
      | ~ precedes(X2,X3,X4)
      | tail_of(X2) != tail_of(X5)
      | head_of(X5) != head_of(X3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ~ precedes(X3,X2,X4)
        & ! [X5] :
            ( head_of(X5) != head_of(X3)
            | tail_of(X2) != tail_of(X5) ) )
      | ~ precedes(X2,X3,X4)
      | ~ shortest_path(X0,X1,X4) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ~ precedes(X3,X2,X4)
        & ! [X5] :
            ( head_of(X5) != head_of(X3)
            | tail_of(X2) != tail_of(X5) ) )
      | ~ precedes(X2,X3,X4)
      | ~ shortest_path(X0,X1,X4) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( precedes(X2,X3,X4)
        & shortest_path(X0,X1,X4) )
     => ( ~ precedes(X3,X2,X4)
        & ~ ? [X5] :
              ( head_of(X5) = head_of(X3)
              & tail_of(X2) = tail_of(X5) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X2,X6,X7,X3] :
      ( ( precedes(X6,X7,X3)
        & shortest_path(X1,X2,X3) )
     => ( ~ precedes(X7,X6,X3)
        & ~ ? [X8] :
              ( head_of(X8) = head_of(X7)
              & tail_of(X8) = tail_of(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_properties) ).

fof(f149,plain,
    sP27(sK3,sK2),
    inference(unit_resulting_resolution,[],[f145,f44,f118]) ).

fof(f44,plain,
    precedes(sK2,sK3,sK4),
    inference(cnf_transformation,[],[f30]) ).

fof(f145,plain,
    sP26(sK4),
    inference(unit_resulting_resolution,[],[f139,f116]) ).

fof(f139,plain,
    sP25(sK4,sK1),
    inference(unit_resulting_resolution,[],[f43,f114]) ).

fof(f43,plain,
    shortest_path(sK0,sK1,sK4),
    inference(cnf_transformation,[],[f30]) ).

fof(f936,plain,
    ( head_of(sK3) = head_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_9
    | spl28_23 ),
    inference(unit_resulting_resolution,[],[f47,f131,f128,f277,f923,f52]) ).

fof(f916,plain,
    ( spl28_9
    | spl28_26 ),
    inference(avatar_contradiction_clause,[],[f915]) ).

fof(f915,plain,
    ( $false
    | spl28_9
    | spl28_26 ),
    inference(subsumption_resolution,[],[f903,f888]) ).

fof(f888,plain,
    ( tail_of(sK2) = tail_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_9
    | spl28_26 ),
    inference(unit_resulting_resolution,[],[f47,f131,f128,f277,f850,f53]) ).

fof(f850,plain,
    ( ! [X0] : ~ sP6(sK5(head_of(sK3),tail_of(sK2)),tail_of(sK2),X0)
    | spl28_26 ),
    inference(unit_resulting_resolution,[],[f569,f49]) ).

fof(f569,plain,
    ( tail_of(sK2) != head_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_26 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl28_26
  <=> tail_of(sK2) = head_of(sK5(head_of(sK3),tail_of(sK2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_26])]) ).

fof(f903,plain,
    ( tail_of(sK2) != tail_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_9
    | spl28_26 ),
    inference(unit_resulting_resolution,[],[f887,f203]) ).

fof(f887,plain,
    ( head_of(sK3) = head_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_9
    | spl28_26 ),
    inference(unit_resulting_resolution,[],[f47,f131,f128,f277,f850,f52]) ).

fof(f570,plain,
    ( ~ spl28_23
    | spl28_24
    | spl28_25
    | ~ spl28_26
    | spl28_9 ),
    inference(avatar_split_clause,[],[f485,f275,f567,f563,f559,f555]) ).

fof(f485,plain,
    ( tail_of(sK2) != head_of(sK5(head_of(sK3),tail_of(sK2)))
    | sK2 = sK5(head_of(sK3),tail_of(sK2))
    | sK3 = sK5(head_of(sK3),tail_of(sK2))
    | head_of(sK3) != tail_of(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_9 ),
    inference(resolution,[],[f368,f323]) ).

fof(f323,plain,
    ( edge(sK5(head_of(sK3),tail_of(sK2)))
    | spl28_9 ),
    inference(unit_resulting_resolution,[],[f47,f131,f128,f277,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( edge(sK5(X0,X1))
      | ~ vertex(X0)
      | ~ vertex(X1)
      | X0 = X1
      | ~ complete ),
    inference(cnf_transformation,[],[f32]) ).

fof(f368,plain,
    ! [X0] :
      ( ~ edge(X0)
      | head_of(X0) != tail_of(sK2)
      | sK2 = X0
      | sK3 = X0
      | tail_of(X0) != head_of(sK3) ),
    inference(subsumption_resolution,[],[f367,f121]) ).

fof(f367,plain,
    ! [X0] :
      ( sK2 = X0
      | head_of(X0) != tail_of(sK2)
      | ~ edge(X0)
      | sK3 = X0
      | tail_of(X0) != head_of(sK3)
      | ~ edge(sK3) ),
    inference(resolution,[],[f266,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( sequential(X0,X1)
      | ~ edge(X1)
      | X0 = X1
      | head_of(X0) != tail_of(X1)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f266,plain,
    ! [X0] :
      ( ~ sequential(sK3,X0)
      | sK2 = X0
      | head_of(X0) != tail_of(sK2) ),
    inference(subsumption_resolution,[],[f265,f63]) ).

fof(f265,plain,
    ! [X0] :
      ( ~ sequential(sK3,X0)
      | sK2 = X0
      | head_of(X0) != tail_of(sK2)
      | ~ edge(X0) ),
    inference(subsumption_resolution,[],[f264,f120]) ).

fof(f264,plain,
    ! [X0] :
      ( ~ sequential(sK3,X0)
      | ~ edge(sK2)
      | sK2 = X0
      | head_of(X0) != tail_of(sK2)
      | ~ edge(X0) ),
    inference(resolution,[],[f196,f66]) ).

fof(f196,plain,
    ! [X0] :
      ( ~ sequential(X0,sK2)
      | ~ sequential(sK3,X0) ),
    inference(subsumption_resolution,[],[f195,f63]) ).

fof(f195,plain,
    ! [X0] :
      ( ~ edge(X0)
      | ~ sequential(sK3,X0)
      | ~ sequential(X0,sK2) ),
    inference(subsumption_resolution,[],[f194,f120]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ edge(X0)
      | ~ sequential(sK3,X0)
      | ~ sequential(X0,sK2)
      | ~ edge(sK2) ),
    inference(subsumption_resolution,[],[f193,f45]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ edge(X0)
      | ~ sequential(sK2,sK3)
      | ~ sequential(sK3,X0)
      | ~ sequential(X0,sK2)
      | ~ edge(sK2) ),
    inference(subsumption_resolution,[],[f192,f121]) ).

fof(f192,plain,
    ! [X0] :
      ( ~ edge(sK3)
      | ~ edge(X0)
      | ~ sequential(sK2,sK3)
      | ~ sequential(sK3,X0)
      | ~ sequential(X0,sK2)
      | ~ edge(sK2) ),
    inference(resolution,[],[f46,f74]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( triangle(X0,X1,X2)
      | ~ edge(X1)
      | ~ edge(X2)
      | ~ sequential(X0,X1)
      | ~ sequential(X1,X2)
      | ~ sequential(X2,X0)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( triangle(X0,X1,X2)
      | ~ sequential(X2,X0)
      | ~ sequential(X1,X2)
      | ~ sequential(X0,X1)
      | ~ edge(X2)
      | ~ edge(X1)
      | ~ edge(X0) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( triangle(X0,X1,X2)
      | ~ sequential(X2,X0)
      | ~ sequential(X1,X2)
      | ~ sequential(X0,X1)
      | ~ edge(X2)
      | ~ edge(X1)
      | ~ edge(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ( sequential(X2,X0)
        & sequential(X1,X2)
        & sequential(X0,X1)
        & edge(X2)
        & edge(X1)
        & edge(X0) )
     => triangle(X0,X1,X2) ),
    inference(unused_predicate_definition_removal,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( triangle(X0,X1,X2)
    <=> ( sequential(X2,X0)
        & sequential(X1,X2)
        & sequential(X0,X1)
        & edge(X2)
        & edge(X1)
        & edge(X0) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X6,X7,X8] :
      ( triangle(X6,X7,X8)
    <=> ( sequential(X8,X6)
        & sequential(X7,X8)
        & sequential(X6,X7)
        & edge(X8)
        & edge(X7)
        & edge(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle_defn) ).

fof(f46,plain,
    ! [X5] : ~ triangle(sK2,sK3,X5),
    inference(cnf_transformation,[],[f30]) ).

fof(f282,plain,
    ( ~ spl28_9
    | spl28_10
    | ~ spl28_2
    | ~ spl28_5
    | ~ spl28_7 ),
    inference(avatar_split_clause,[],[f273,f183,f175,f161,f279,f275]) ).

fof(f161,plain,
    ( spl28_2
  <=> on_path(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).

fof(f175,plain,
    ( spl28_5
  <=> sP18(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).

fof(f183,plain,
    ( spl28_7
  <=> sP22(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).

fof(f273,plain,
    ( sK2 = sK3
    | tail_of(sK2) != head_of(sK3)
    | ~ spl28_2
    | ~ spl28_5
    | ~ spl28_7 ),
    inference(subsumption_resolution,[],[f272,f121]) ).

fof(f272,plain,
    ( sK2 = sK3
    | tail_of(sK2) != head_of(sK3)
    | ~ edge(sK3)
    | ~ spl28_2
    | ~ spl28_5
    | ~ spl28_7 ),
    inference(subsumption_resolution,[],[f271,f120]) ).

fof(f271,plain,
    ( ~ edge(sK2)
    | sK2 = sK3
    | tail_of(sK2) != head_of(sK3)
    | ~ edge(sK3)
    | ~ spl28_2
    | ~ spl28_5
    | ~ spl28_7 ),
    inference(resolution,[],[f268,f66]) ).

fof(f268,plain,
    ( ~ sequential(sK3,sK2)
    | ~ spl28_2
    | ~ spl28_5
    | ~ spl28_7 ),
    inference(unit_resulting_resolution,[],[f184,f44,f163,f163,f245,f109]) ).

fof(f109,plain,
    ! [X3,X0,X4,X5] :
      ( ~ precedes(X5,X4,X0)
      | ~ on_path(X4,X0)
      | ~ sequential(X3,X5)
      | ~ on_path(X3,X0)
      | precedes(X3,X4,X0)
      | ~ sP22(X0) ),
    inference(general_splitting,[],[f107,f108_D]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ sP21(X0,X1)
      | sP22(X0) ),
    inference(cnf_transformation,[],[f108_D]) ).

fof(f108_D,plain,
    ! [X0] :
      ( ! [X1] : ~ sP21(X0,X1)
    <=> ~ sP22(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f107,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ on_path(X3,X0)
      | ~ on_path(X4,X0)
      | ~ sequential(X3,X5)
      | ~ precedes(X5,X4,X0)
      | precedes(X3,X4,X0)
      | ~ sP21(X0,X1) ),
    inference(general_splitting,[],[f60,f106_D]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( ~ path(X1,X2,X0)
      | sP21(X0,X1) ),
    inference(cnf_transformation,[],[f106_D]) ).

fof(f106_D,plain,
    ! [X1,X0] :
      ( ! [X2] : ~ path(X1,X2,X0)
    <=> ~ sP21(X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).

fof(f60,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ path(X1,X2,X0)
      | ~ on_path(X3,X0)
      | ~ on_path(X4,X0)
      | ~ sequential(X3,X5)
      | ~ precedes(X5,X4,X0)
      | precedes(X3,X4,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4] :
          ( precedes(X3,X4,X0)
          | ( ! [X5] :
                ( ~ precedes(X5,X4,X0)
                | ~ sequential(X3,X5) )
            & ~ sequential(X3,X4) )
          | ~ on_path(X4,X0)
          | ~ on_path(X3,X0) )
      | ~ path(X1,X2,X0) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4] :
          ( precedes(X3,X4,X0)
          | ( ! [X5] :
                ( ~ precedes(X5,X4,X0)
                | ~ sequential(X3,X5) )
            & ~ sequential(X3,X4) )
          | ~ on_path(X4,X0)
          | ~ on_path(X3,X0) )
      | ~ path(X1,X2,X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( path(X1,X2,X0)
     => ! [X3,X4] :
          ( ( ( ? [X5] :
                  ( precedes(X5,X4,X0)
                  & sequential(X3,X5) )
              | sequential(X3,X4) )
            & on_path(X4,X0)
            & on_path(X3,X0) )
         => precedes(X3,X4,X0) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X3,X1,X2] :
      ( path(X1,X2,X3)
     => ! [X6,X7] :
          ( ( ( ? [X8] :
                  ( precedes(X8,X7,X3)
                  & sequential(X6,X8) )
              | sequential(X6,X7) )
            & on_path(X7,X3)
            & on_path(X6,X3) )
         => precedes(X6,X7,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_defn) ).

fof(f245,plain,
    ( ~ precedes(sK3,sK3,sK4)
    | ~ spl28_5 ),
    inference(unit_resulting_resolution,[],[f45,f45,f44,f176,f101]) ).

fof(f101,plain,
    ! [X3,X0,X4,X5] :
      ( ~ precedes(X5,X4,X0)
      | ~ sequential(X3,X5)
      | ~ precedes(X3,X4,X0)
      | ~ sequential(X3,X4)
      | ~ sP18(X0) ),
    inference(general_splitting,[],[f99,f100_D]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ sP17(X0,X1)
      | sP18(X0) ),
    inference(cnf_transformation,[],[f100_D]) ).

fof(f100_D,plain,
    ! [X0] :
      ( ! [X1] : ~ sP17(X0,X1)
    <=> ~ sP18(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f99,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ precedes(X3,X4,X0)
      | ~ sequential(X3,X5)
      | ~ precedes(X5,X4,X0)
      | ~ sequential(X3,X4)
      | ~ sP17(X0,X1) ),
    inference(general_splitting,[],[f55,f98_D]) ).

fof(f98,plain,
    ! [X2,X0,X1] :
      ( ~ path(X1,X2,X0)
      | sP17(X0,X1) ),
    inference(cnf_transformation,[],[f98_D]) ).

fof(f98_D,plain,
    ! [X1,X0] :
      ( ! [X2] : ~ path(X1,X2,X0)
    <=> ~ sP17(X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f55,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ path(X1,X2,X0)
      | ~ precedes(X3,X4,X0)
      | ~ sequential(X3,X5)
      | ~ precedes(X5,X4,X0)
      | ~ sequential(X3,X4) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4] :
          ( ( ( sequential(X3,X4)
            <~> ? [X5] :
                  ( precedes(X5,X4,X0)
                  & sequential(X3,X5) ) )
            & on_path(X4,X0)
            & on_path(X3,X0) )
          | ~ precedes(X3,X4,X0) )
      | ~ path(X1,X2,X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( path(X1,X2,X0)
     => ! [X3,X4] :
          ( precedes(X3,X4,X0)
         => ( ( sequential(X3,X4)
            <~> ? [X5] :
                  ( precedes(X5,X4,X0)
                  & sequential(X3,X5) ) )
            & on_path(X4,X0)
            & on_path(X3,X0) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X3,X1,X2] :
      ( path(X1,X2,X3)
     => ! [X6,X7] :
          ( precedes(X6,X7,X3)
         => ( ( sequential(X6,X7)
            <~> ? [X8] :
                  ( precedes(X8,X7,X3)
                  & sequential(X6,X8) ) )
            & on_path(X7,X3)
            & on_path(X6,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_properties) ).

fof(f176,plain,
    ( sP18(sK4)
    | ~ spl28_5 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f163,plain,
    ( on_path(sK3,sK4)
    | ~ spl28_2 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f184,plain,
    ( sP22(sK4)
    | ~ spl28_7 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f242,plain,
    spl28_7,
    inference(avatar_contradiction_clause,[],[f241]) ).

fof(f241,plain,
    ( $false
    | spl28_7 ),
    inference(subsumption_resolution,[],[f222,f198]) ).

fof(f198,plain,
    ( ! [X0] : ~ sP21(sK4,X0)
    | spl28_7 ),
    inference(unit_resulting_resolution,[],[f185,f108]) ).

fof(f185,plain,
    ( ~ sP22(sK4)
    | spl28_7 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f222,plain,
    sP21(sK4,sK0),
    inference(resolution,[],[f137,f106]) ).

fof(f137,plain,
    path(sK0,sK1,sK4),
    inference(unit_resulting_resolution,[],[f43,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( ~ shortest_path(X0,X1,X2)
      | path(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( shortest_path(X0,X1,X2)
    <=> ( ! [X3] :
            ( less_or_equal(length_of(X2),length_of(X3))
            | ~ path(X0,X1,X3) )
        & X0 != X1
        & path(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( shortest_path(X0,X1,X2)
    <=> ( ! [X3] :
            ( path(X0,X1,X3)
           => less_or_equal(length_of(X2),length_of(X3)) )
        & X0 != X1
        & path(X0,X1,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X2,X9] :
      ( shortest_path(X1,X2,X9)
    <=> ( ! [X3] :
            ( path(X1,X2,X3)
           => less_or_equal(length_of(X9),length_of(X3)) )
        & X1 != X2
        & path(X1,X2,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_defn) ).

fof(f240,plain,
    spl28_5,
    inference(avatar_contradiction_clause,[],[f239]) ).

fof(f239,plain,
    ( $false
    | spl28_5 ),
    inference(subsumption_resolution,[],[f220,f197]) ).

fof(f197,plain,
    ( ! [X0] : ~ sP17(sK4,X0)
    | spl28_5 ),
    inference(unit_resulting_resolution,[],[f177,f100]) ).

fof(f177,plain,
    ( ~ sP18(sK4)
    | spl28_5 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f220,plain,
    sP17(sK4,sK0),
    inference(resolution,[],[f137,f98]) ).

fof(f236,plain,
    spl28_1,
    inference(avatar_contradiction_clause,[],[f235]) ).

fof(f235,plain,
    ( $false
    | spl28_1 ),
    inference(subsumption_resolution,[],[f216,f190]) ).

fof(f190,plain,
    ( ! [X0] : ~ sP9(sK4,X0)
    | spl28_1 ),
    inference(unit_resulting_resolution,[],[f159,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ sP9(X0,X1)
      | sP10(X0) ),
    inference(cnf_transformation,[],[f84_D]) ).

fof(f84_D,plain,
    ! [X0] :
      ( ! [X1] : ~ sP9(X0,X1)
    <=> ~ sP10(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f159,plain,
    ( ~ sP10(sK4)
    | spl28_1 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl28_1
  <=> sP10(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).

fof(f216,plain,
    sP9(sK4,sK0),
    inference(resolution,[],[f137,f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ path(X1,X2,X0)
      | sP9(X0,X1) ),
    inference(cnf_transformation,[],[f82_D]) ).

fof(f82_D,plain,
    ! [X1,X0] :
      ( ! [X2] : ~ path(X1,X2,X0)
    <=> ~ sP9(X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f164,plain,
    ( ~ spl28_1
    | spl28_2 ),
    inference(avatar_split_clause,[],[f150,f161,f157]) ).

fof(f150,plain,
    ( on_path(sK3,sK4)
    | ~ sP10(sK4) ),
    inference(resolution,[],[f44,f85]) ).

fof(f85,plain,
    ! [X3,X0,X4] :
      ( ~ precedes(X3,X4,X0)
      | on_path(X4,X0)
      | ~ sP10(X0) ),
    inference(general_splitting,[],[f83,f84_D]) ).

fof(f83,plain,
    ! [X3,X0,X1,X4] :
      ( ~ precedes(X3,X4,X0)
      | on_path(X4,X0)
      | ~ sP9(X0,X1) ),
    inference(general_splitting,[],[f59,f82_D]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ path(X1,X2,X0)
      | ~ precedes(X3,X4,X0)
      | on_path(X4,X0) ),
    inference(cnf_transformation,[],[f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRA008+1 : TPTP v8.2.0. Bugfixed v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 12:53:07 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.73  % (30917)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 (2996ds/56Mi)
% 0.56/0.73  % (30911)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 (2996ds/51Mi)
% 0.56/0.74  % (30917)Refutation not found, incomplete strategy% (30917)------------------------------
% 0.56/0.74  % (30917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (30917)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (30917)Memory used [KB]: 1062
% 0.56/0.74  % (30917)Time elapsed: 0.002 s
% 0.56/0.74  % (30917)Instructions burned: 3 (million)
% 0.56/0.74  % (30917)------------------------------
% 0.56/0.74  % (30917)------------------------------
% 0.56/0.74  % (30913)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (30914)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 (2996ds/34Mi)
% 0.56/0.74  % (30913)Refutation not found, incomplete strategy% (30913)------------------------------
% 0.56/0.74  % (30913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (30913)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (30913)Memory used [KB]: 1060
% 0.56/0.74  % (30913)Time elapsed: 0.004 s
% 0.56/0.74  % (30913)Instructions burned: 3 (million)
% 0.56/0.74  % (30916)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 (2996ds/83Mi)
% 0.56/0.74  % (30913)------------------------------
% 0.56/0.74  % (30913)------------------------------
% 0.56/0.74  % (30912)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (30918)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 (2996ds/55Mi)
% 0.56/0.74  % (30910)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 (2996ds/34Mi)
% 0.56/0.74  % (30919)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 (2996ds/50Mi)
% 0.56/0.74  % (30918)Refutation not found, incomplete strategy% (30918)------------------------------
% 0.56/0.74  % (30918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (30918)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (30918)Memory used [KB]: 1147
% 0.56/0.74  % (30918)Time elapsed: 0.005 s
% 0.56/0.74  % (30918)Instructions burned: 7 (million)
% 0.56/0.74  % (30918)------------------------------
% 0.56/0.74  % (30918)------------------------------
% 0.56/0.75  % (30920)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 (2996ds/208Mi)
% 0.56/0.75  % (30916)First to succeed.
% 0.56/0.76  % (30916)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30908"
% 0.56/0.76  % (30910)Instruction limit reached!
% 0.56/0.76  % (30910)------------------------------
% 0.56/0.76  % (30910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (30910)Termination reason: Unknown
% 0.56/0.76  % (30910)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (30910)Memory used [KB]: 1217
% 0.56/0.76  % (30910)Time elapsed: 0.019 s
% 0.56/0.76  % (30910)Instructions burned: 35 (million)
% 0.56/0.76  % (30910)------------------------------
% 0.56/0.76  % (30910)------------------------------
% 0.56/0.76  % (30915)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.62/0.76  % (30915)Refutation not found, incomplete strategy% (30915)------------------------------
% 0.62/0.76  % (30915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (30915)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (30915)Memory used [KB]: 1059
% 0.62/0.76  % (30915)Time elapsed: 0.002 s
% 0.62/0.76  % (30915)Instructions burned: 3 (million)
% 0.62/0.76  % (30915)------------------------------
% 0.62/0.76  % (30915)------------------------------
% 0.62/0.76  % (30916)Refutation found. Thanks to Tanya!
% 0.62/0.76  % SZS status Theorem for theBenchmark
% 0.62/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.76  % (30916)------------------------------
% 0.62/0.76  % (30916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (30916)Termination reason: Refutation
% 0.62/0.76  
% 0.62/0.76  % (30916)Memory used [KB]: 1556
% 0.62/0.76  % (30916)Time elapsed: 0.019 s
% 0.62/0.76  % (30916)Instructions burned: 53 (million)
% 0.62/0.76  % (30908)Success in time 0.406 s
% 0.62/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------