TSTP Solution File: GRA008+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRA008+2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 0.87s 0.80s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  117 (  10 unt;   0 def)
%            Number of atoms       :  475 (  97 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  629 ( 271   ~; 248   |;  77   &)
%                                         (  17 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  15 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  282 ( 257   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2645,plain,
    $false,
    inference(avatar_sat_refutation,[],[f171,f175,f179,f180,f941,f984,f1246,f1259,f1579,f2102,f2170,f2413,f2443,f2644]) ).

fof(f2644,plain,
    ( spl14_141
    | ~ spl14_2
    | spl14_102
    | ~ spl14_113
    | ~ spl14_230 ),
    inference(avatar_split_clause,[],[f2643,f2410,f1257,f1162,f169,f1577]) ).

fof(f1577,plain,
    ( spl14_141
  <=> ! [X2,X0,X1] :
        ( ~ shortest_path(X0,X1,X2)
        | ~ precedes(sK3,sK4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_141])]) ).

fof(f169,plain,
    ( spl14_2
  <=> ! [X4,X0,X3,X2,X1] :
        ( tail_of(X2) = head_of(sK0(X2,X3))
        | ~ shortest_path(X0,X1,X4)
        | ~ precedes(X2,X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f1162,plain,
    ( spl14_102
  <=> head_of(sK4) = tail_of(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_102])]) ).

fof(f1257,plain,
    ( spl14_113
  <=> ! [X0] :
        ( sequential(X0,sK0(sK3,sK4))
        | head_of(X0) != head_of(sK4)
        | ~ edge(X0)
        | sK0(sK3,sK4) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_113])]) ).

fof(f2410,plain,
    ( spl14_230
  <=> sequential(sK0(sK3,sK4),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_230])]) ).

fof(f2643,plain,
    ( ! [X2,X0,X1] :
        ( ~ shortest_path(X0,X1,X2)
        | ~ precedes(sK3,sK4,X2) )
    | ~ spl14_2
    | spl14_102
    | ~ spl14_113
    | ~ spl14_230 ),
    inference(subsumption_resolution,[],[f2625,f1163]) ).

fof(f1163,plain,
    ( head_of(sK4) != tail_of(sK3)
    | spl14_102 ),
    inference(avatar_component_clause,[],[f1162]) ).

fof(f2625,plain,
    ( ! [X2,X0,X1] :
        ( head_of(sK4) = tail_of(sK3)
        | ~ shortest_path(X0,X1,X2)
        | ~ precedes(sK3,sK4,X2) )
    | ~ spl14_2
    | ~ spl14_113
    | ~ spl14_230 ),
    inference(superposition,[],[f170,f2600]) ).

fof(f2600,plain,
    ( sK4 = sK0(sK3,sK4)
    | ~ spl14_113
    | ~ spl14_230 ),
    inference(subsumption_resolution,[],[f2599,f208]) ).

fof(f208,plain,
    edge(sK4),
    inference(resolution,[],[f131,f102]) ).

fof(f102,plain,
    sequential(sK3,sK4),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ! [X5] : ~ triangle(sK3,sK4,X5)
    & sequential(sK3,sK4)
    & precedes(sK3,sK4,sK5)
    & shortest_path(sK1,sK2,sK5)
    & complete ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f42,f68]) ).

fof(f68,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ! [X5] : ~ triangle(X2,X3,X5)
        & sequential(X2,X3)
        & precedes(X2,X3,X4)
        & shortest_path(X0,X1,X4) )
   => ( ! [X5] : ~ triangle(sK3,sK4,X5)
      & sequential(sK3,sK4)
      & precedes(sK3,sK4,sK5)
      & shortest_path(sK1,sK2,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,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,[],[f41]) ).

fof(f41,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,[],[f22]) ).

fof(f22,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,[],[f20]) ).

fof(f20,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,[],[f19]) ).

fof(f19,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/sandbox2/benchmark/theBenchmark.p',sequential_is_triangle) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | edge(X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( sequential(X0,X1)
        | head_of(X0) != tail_of(X1)
        | X0 = X1
        | ~ edge(X1)
        | ~ edge(X0) )
      & ( ( head_of(X0) = tail_of(X1)
          & X0 != X1
          & edge(X1)
          & edge(X0) )
        | ~ sequential(X0,X1) ) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ( sequential(X0,X1)
        | head_of(X0) != tail_of(X1)
        | X0 = X1
        | ~ edge(X1)
        | ~ edge(X0) )
      & ( ( head_of(X0) = tail_of(X1)
          & X0 != X1
          & edge(X1)
          & edge(X0) )
        | ~ sequential(X0,X1) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,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/sandbox2/benchmark/theBenchmark.p',sequential_defn) ).

fof(f2599,plain,
    ( ~ edge(sK4)
    | sK4 = sK0(sK3,sK4)
    | ~ spl14_113
    | ~ spl14_230 ),
    inference(subsumption_resolution,[],[f2584,f2526]) ).

fof(f2526,plain,
    ( ~ sequential(sK4,sK0(sK3,sK4))
    | ~ spl14_230 ),
    inference(resolution,[],[f2412,f357]) ).

fof(f357,plain,
    ! [X0] :
      ( ~ sequential(X0,sK3)
      | ~ sequential(sK4,X0) ),
    inference(subsumption_resolution,[],[f356,f102]) ).

fof(f356,plain,
    ! [X0] :
      ( ~ sequential(X0,sK3)
      | ~ sequential(sK4,X0)
      | ~ sequential(sK3,sK4) ),
    inference(resolution,[],[f355,f103]) ).

fof(f103,plain,
    ! [X5] : ~ triangle(sK3,sK4,X5),
    inference(cnf_transformation,[],[f69]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( triangle(X0,X1,X2)
      | ~ sequential(X2,X0)
      | ~ sequential(X1,X2)
      | ~ sequential(X0,X1) ),
    inference(subsumption_resolution,[],[f354,f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | edge(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f354,plain,
    ! [X2,X0,X1] :
      ( triangle(X0,X1,X2)
      | ~ sequential(X2,X0)
      | ~ sequential(X1,X2)
      | ~ sequential(X0,X1)
      | ~ edge(X0) ),
    inference(subsumption_resolution,[],[f353,f130]) ).

fof(f353,plain,
    ! [X2,X0,X1] :
      ( triangle(X0,X1,X2)
      | ~ sequential(X2,X0)
      | ~ sequential(X1,X2)
      | ~ sequential(X0,X1)
      | ~ edge(X1)
      | ~ edge(X0) ),
    inference(subsumption_resolution,[],[f129,f130]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( triangle(X0,X1,X2)
      | ~ sequential(X2,X0)
      | ~ sequential(X1,X2)
      | ~ sequential(X0,X1)
      | ~ edge(X2)
      | ~ edge(X1)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,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,[],[f54]) ).

fof(f54,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,[],[f38]) ).

fof(f38,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,[],[f29]) ).

fof(f29,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/sandbox2/benchmark/theBenchmark.p',triangle_defn) ).

fof(f2412,plain,
    ( sequential(sK0(sK3,sK4),sK3)
    | ~ spl14_230 ),
    inference(avatar_component_clause,[],[f2410]) ).

fof(f2584,plain,
    ( sequential(sK4,sK0(sK3,sK4))
    | ~ edge(sK4)
    | sK4 = sK0(sK3,sK4)
    | ~ spl14_113 ),
    inference(equality_resolution,[],[f1258]) ).

fof(f1258,plain,
    ( ! [X0] :
        ( head_of(X0) != head_of(sK4)
        | sequential(X0,sK0(sK3,sK4))
        | ~ edge(X0)
        | sK0(sK3,sK4) = X0 )
    | ~ spl14_113 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f170,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( tail_of(X2) = head_of(sK0(X2,X3))
        | ~ shortest_path(X0,X1,X4)
        | ~ precedes(X2,X3,X4) )
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f2443,plain,
    ( spl14_141
    | ~ spl14_2
    | spl14_167
    | ~ spl14_229 ),
    inference(avatar_split_clause,[],[f2442,f2406,f1790,f169,f1577]) ).

fof(f1790,plain,
    ( spl14_167
  <=> head_of(sK3) = tail_of(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_167])]) ).

fof(f2406,plain,
    ( spl14_229
  <=> sK3 = sK0(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_229])]) ).

fof(f2442,plain,
    ( ! [X2,X0,X1] :
        ( ~ shortest_path(X0,X1,X2)
        | ~ precedes(sK3,sK4,X2) )
    | ~ spl14_2
    | spl14_167
    | ~ spl14_229 ),
    inference(subsumption_resolution,[],[f2426,f1792]) ).

fof(f1792,plain,
    ( head_of(sK3) != tail_of(sK3)
    | spl14_167 ),
    inference(avatar_component_clause,[],[f1790]) ).

fof(f2426,plain,
    ( ! [X2,X0,X1] :
        ( head_of(sK3) = tail_of(sK3)
        | ~ shortest_path(X0,X1,X2)
        | ~ precedes(sK3,sK4,X2) )
    | ~ spl14_2
    | ~ spl14_229 ),
    inference(superposition,[],[f170,f2408]) ).

fof(f2408,plain,
    ( sK3 = sK0(sK3,sK4)
    | ~ spl14_229 ),
    inference(avatar_component_clause,[],[f2406]) ).

fof(f2413,plain,
    ( spl14_229
    | spl14_230
    | ~ spl14_112 ),
    inference(avatar_split_clause,[],[f2404,f1244,f2410,f2406]) ).

fof(f1244,plain,
    ( spl14_112
  <=> ! [X0] :
        ( sequential(sK0(sK3,sK4),X0)
        | tail_of(X0) != tail_of(sK3)
        | ~ edge(X0)
        | sK0(sK3,sK4) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_112])]) ).

fof(f2404,plain,
    ( sequential(sK0(sK3,sK4),sK3)
    | sK3 = sK0(sK3,sK4)
    | ~ spl14_112 ),
    inference(subsumption_resolution,[],[f2400,f207]) ).

fof(f207,plain,
    edge(sK3),
    inference(resolution,[],[f130,f102]) ).

fof(f2400,plain,
    ( sequential(sK0(sK3,sK4),sK3)
    | ~ edge(sK3)
    | sK3 = sK0(sK3,sK4)
    | ~ spl14_112 ),
    inference(equality_resolution,[],[f1245]) ).

fof(f1245,plain,
    ( ! [X0] :
        ( tail_of(X0) != tail_of(sK3)
        | sequential(sK0(sK3,sK4),X0)
        | ~ edge(X0)
        | sK0(sK3,sK4) = X0 )
    | ~ spl14_112 ),
    inference(avatar_component_clause,[],[f1244]) ).

fof(f2170,plain,
    ( ~ spl14_167
    | ~ spl14_88 ),
    inference(avatar_split_clause,[],[f2169,f982,f1790]) ).

fof(f982,plain,
    ( spl14_88
  <=> ! [X0,X1] :
        ( head_of(X0) != head_of(sK4)
        | head_of(X1) != tail_of(sK3)
        | ~ sequential(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_88])]) ).

fof(f2169,plain,
    ( head_of(sK3) != tail_of(sK3)
    | ~ spl14_88 ),
    inference(trivial_inequality_removal,[],[f2167]) ).

fof(f2167,plain,
    ( head_of(sK3) != tail_of(sK3)
    | head_of(sK4) != head_of(sK4)
    | ~ spl14_88 ),
    inference(resolution,[],[f983,f102]) ).

fof(f983,plain,
    ( ! [X0,X1] :
        ( ~ sequential(X1,X0)
        | head_of(X1) != tail_of(sK3)
        | head_of(X0) != head_of(sK4) )
    | ~ spl14_88 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f2102,plain,
    ( spl14_82
    | ~ spl14_141 ),
    inference(avatar_split_clause,[],[f2101,f1577,f930]) ).

fof(f930,plain,
    ( spl14_82
  <=> ! [X0,X1] : ~ shortest_path(X0,X1,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).

fof(f2101,plain,
    ( ! [X0,X1] : ~ shortest_path(X0,X1,sK5)
    | ~ spl14_141 ),
    inference(resolution,[],[f1578,f101]) ).

fof(f101,plain,
    precedes(sK3,sK4,sK5),
    inference(cnf_transformation,[],[f69]) ).

fof(f1578,plain,
    ( ! [X2,X0,X1] :
        ( ~ precedes(sK3,sK4,X2)
        | ~ shortest_path(X0,X1,X2) )
    | ~ spl14_141 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f1579,plain,
    ( spl14_141
    | ~ spl14_102
    | ~ spl14_2
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f1574,f177,f173,f169,f1162,f1577]) ).

fof(f173,plain,
    ( spl14_3
  <=> ! [X4,X0,X3,X2,X1] :
        ( head_of(X3) = tail_of(sK0(X2,X3))
        | ~ shortest_path(X0,X1,X4)
        | ~ precedes(X2,X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f177,plain,
    ( spl14_4
  <=> ! [X4,X0,X3,X2,X1] :
        ( edge(sK0(X2,X3))
        | ~ shortest_path(X0,X1,X4)
        | ~ precedes(X2,X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f1574,plain,
    ( ! [X2,X0,X1] :
        ( head_of(sK4) != tail_of(sK3)
        | ~ shortest_path(X0,X1,X2)
        | ~ precedes(sK3,sK4,X2) )
    | ~ spl14_2
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(superposition,[],[f1573,f170]) ).

fof(f1573,plain,
    ( head_of(sK4) != head_of(sK0(sK3,sK4))
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(resolution,[],[f796,f101]) ).

fof(f796,plain,
    ( ! [X0,X1] :
        ( ~ precedes(X0,X1,sK5)
        | head_of(sK0(X0,X1)) != head_of(X1) )
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(resolution,[],[f214,f100]) ).

fof(f100,plain,
    shortest_path(sK1,sK2,sK5),
    inference(cnf_transformation,[],[f69]) ).

fof(f214,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ shortest_path(X2,X3,X4)
        | head_of(sK0(X0,X1)) != head_of(X1)
        | ~ precedes(X0,X1,X4) )
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f213,f178]) ).

fof(f178,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ shortest_path(X0,X1,X4)
        | edge(sK0(X2,X3))
        | ~ precedes(X2,X3,X4) )
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f213,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( head_of(sK0(X0,X1)) != head_of(X1)
        | ~ edge(sK0(X0,X1))
        | ~ shortest_path(X2,X3,X4)
        | ~ precedes(X0,X1,X4) )
    | ~ spl14_3 ),
    inference(superposition,[],[f104,f174]) ).

fof(f174,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( head_of(X3) = tail_of(sK0(X2,X3))
        | ~ shortest_path(X0,X1,X4)
        | ~ precedes(X2,X3,X4) )
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f104,plain,
    ! [X0] :
      ( head_of(X0) != tail_of(X0)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,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/sandbox2/benchmark/theBenchmark.p',no_loops) ).

fof(f1259,plain,
    ( spl14_82
    | spl14_113
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f1255,f177,f173,f1257,f930]) ).

fof(f1255,plain,
    ( ! [X2,X0,X1] :
        ( sequential(X0,sK0(sK3,sK4))
        | sK0(sK3,sK4) = X0
        | ~ edge(X0)
        | ~ shortest_path(X1,X2,sK5)
        | head_of(X0) != head_of(sK4) )
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(resolution,[],[f296,f101]) ).

fof(f296,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ precedes(X0,X1,X5)
        | sequential(X2,sK0(X0,X1))
        | sK0(X0,X1) = X2
        | ~ edge(X2)
        | ~ shortest_path(X3,X4,X5)
        | head_of(X2) != head_of(X1) )
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f291,f178]) ).

fof(f291,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( head_of(X2) != head_of(X1)
        | sequential(X2,sK0(X0,X1))
        | sK0(X0,X1) = X2
        | ~ edge(sK0(X0,X1))
        | ~ edge(X2)
        | ~ shortest_path(X3,X4,X5)
        | ~ precedes(X0,X1,X5) )
    | ~ spl14_3 ),
    inference(superposition,[],[f134,f174]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( head_of(X0) != tail_of(X1)
      | sequential(X0,X1)
      | X0 = X1
      | ~ edge(X1)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f1246,plain,
    ( spl14_82
    | spl14_112
    | ~ spl14_2
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f1242,f177,f169,f1244,f930]) ).

fof(f1242,plain,
    ( ! [X2,X0,X1] :
        ( sequential(sK0(sK3,sK4),X0)
        | sK0(sK3,sK4) = X0
        | ~ edge(X0)
        | ~ shortest_path(X1,X2,sK5)
        | tail_of(X0) != tail_of(sK3) )
    | ~ spl14_2
    | ~ spl14_4 ),
    inference(resolution,[],[f294,f101]) ).

fof(f294,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ precedes(X0,X1,X5)
        | sequential(sK0(X0,X1),X2)
        | sK0(X0,X1) = X2
        | ~ edge(X2)
        | ~ shortest_path(X3,X4,X5)
        | tail_of(X0) != tail_of(X2) )
    | ~ spl14_2
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f289,f178]) ).

fof(f289,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( tail_of(X0) != tail_of(X2)
        | sequential(sK0(X0,X1),X2)
        | sK0(X0,X1) = X2
        | ~ edge(X2)
        | ~ edge(sK0(X0,X1))
        | ~ shortest_path(X3,X4,X5)
        | ~ precedes(X0,X1,X5) )
    | ~ spl14_2 ),
    inference(superposition,[],[f134,f170]) ).

fof(f984,plain,
    ( spl14_82
    | spl14_88 ),
    inference(avatar_split_clause,[],[f980,f982,f930]) ).

fof(f980,plain,
    ! [X2,X3,X0,X1] :
      ( head_of(X0) != head_of(sK4)
      | head_of(X1) != tail_of(sK3)
      | ~ shortest_path(X2,X3,sK5)
      | ~ sequential(X1,X0) ),
    inference(resolution,[],[f334,f101]) ).

fof(f334,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ precedes(X2,X3,X4)
      | head_of(X0) != head_of(X3)
      | tail_of(X2) != head_of(X1)
      | ~ shortest_path(X5,X6,X4)
      | ~ sequential(X1,X0) ),
    inference(superposition,[],[f111,f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( head_of(X0) = tail_of(X1)
      | ~ sequential(X0,X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( tail_of(X2) != tail_of(X5)
      | head_of(X5) != head_of(X3)
      | ~ precedes(X2,X3,X4)
      | ~ shortest_path(X0,X1,X4) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,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,[],[f46]) ).

fof(f46,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,[],[f24]) ).

fof(f24,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/sandbox2/benchmark/theBenchmark.p',shortest_path_properties) ).

fof(f941,plain,
    ~ spl14_82,
    inference(avatar_contradiction_clause,[],[f940]) ).

fof(f940,plain,
    ( $false
    | ~ spl14_82 ),
    inference(resolution,[],[f931,f100]) ).

fof(f931,plain,
    ( ! [X0,X1] : ~ shortest_path(X0,X1,sK5)
    | ~ spl14_82 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f180,plain,
    spl14_1,
    inference(avatar_split_clause,[],[f99,f165]) ).

fof(f165,plain,
    ( spl14_1
  <=> complete ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f99,plain,
    complete,
    inference(cnf_transformation,[],[f69]) ).

fof(f179,plain,
    ( ~ spl14_1
    | spl14_4 ),
    inference(avatar_split_clause,[],[f96,f177,f165]) ).

fof(f96,plain,
    ! [X2,X3,X0,X1,X4] :
      ( edge(sK0(X2,X3))
      | ~ precedes(X2,X3,X4)
      | ~ shortest_path(X0,X1,X4)
      | ~ complete ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ! [X0,X1,X2,X3,X4] :
        ( ( tail_of(X2) = head_of(sK0(X2,X3))
          & head_of(X3) = tail_of(sK0(X2,X3))
          & edge(sK0(X2,X3)) )
        | ~ precedes(X2,X3,X4)
        | ~ shortest_path(X0,X1,X4) )
    | ~ complete ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f66]) ).

fof(f66,plain,
    ! [X2,X3] :
      ( ? [X5] :
          ( tail_of(X2) = head_of(X5)
          & tail_of(X5) = head_of(X3)
          & edge(X5) )
     => ( tail_of(X2) = head_of(sK0(X2,X3))
        & head_of(X3) = tail_of(sK0(X2,X3))
        & edge(sK0(X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ( ! [X0,X1,X2,X3,X4] :
        ( ? [X5] :
            ( tail_of(X2) = head_of(X5)
            & tail_of(X5) = head_of(X3)
            & edge(X5) )
        | ~ precedes(X2,X3,X4)
        | ~ shortest_path(X0,X1,X4) )
    | ~ complete ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ( ! [X0,X1,X2,X3,X4] :
        ( ? [X5] :
            ( tail_of(X2) = head_of(X5)
            & tail_of(X5) = head_of(X3)
            & edge(X5) )
        | ~ precedes(X2,X3,X4)
        | ~ shortest_path(X0,X1,X4) )
    | ~ complete ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ( complete
   => ! [X0,X1,X2,X3,X4] :
        ( ( precedes(X2,X3,X4)
          & shortest_path(X0,X1,X4) )
       => ? [X5] :
            ( tail_of(X2) = head_of(X5)
            & tail_of(X5) = head_of(X3)
            & edge(X5) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( complete
   => ! [X1,X2,X6,X7,X3] :
        ( ( precedes(X6,X7,X3)
          & shortest_path(X1,X2,X3) )
       => ? [X8] :
            ( tail_of(X6) = head_of(X8)
            & tail_of(X8) = head_of(X7)
            & edge(X8) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',back_edge) ).

fof(f175,plain,
    ( ~ spl14_1
    | spl14_3 ),
    inference(avatar_split_clause,[],[f97,f173,f165]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1,X4] :
      ( head_of(X3) = tail_of(sK0(X2,X3))
      | ~ precedes(X2,X3,X4)
      | ~ shortest_path(X0,X1,X4)
      | ~ complete ),
    inference(cnf_transformation,[],[f67]) ).

fof(f171,plain,
    ( ~ spl14_1
    | spl14_2 ),
    inference(avatar_split_clause,[],[f98,f169,f165]) ).

fof(f98,plain,
    ! [X2,X3,X0,X1,X4] :
      ( tail_of(X2) = head_of(sK0(X2,X3))
      | ~ precedes(X2,X3,X4)
      | ~ shortest_path(X0,X1,X4)
      | ~ complete ),
    inference(cnf_transformation,[],[f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : GRA008+2 : TPTP v8.2.0. Bugfixed v3.2.0.
% 0.14/0.16  % 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
% 0.16/0.38  % Computer : n007.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat May 18 12:42:23 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.16/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38  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
% 0.50/0.69  % (7022)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)
% 0.50/0.69  % (7017)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.50/0.69  % (7015)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)
% 0.50/0.69  % (7018)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)
% 0.50/0.69  % (7016)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)
% 0.50/0.69  % (7019)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)
% 0.50/0.69  % (7020)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)
% 0.50/0.69  % (7022)Refutation not found, incomplete strategy% (7022)------------------------------
% 0.50/0.69  % (7022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (7022)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.69  
% 0.50/0.69  % (7022)Memory used [KB]: 1069
% 0.50/0.69  % (7022)Time elapsed: 0.002 s
% 0.50/0.69  % (7022)Instructions burned: 4 (million)
% 0.50/0.69  % (7021)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)
% 0.50/0.69  % (7022)------------------------------
% 0.50/0.69  % (7022)------------------------------
% 0.50/0.69  % (7024)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)
% 0.50/0.69  % (7018)Refutation not found, incomplete strategy% (7018)------------------------------
% 0.50/0.69  % (7018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (7018)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.69  
% 0.50/0.69  % (7018)Memory used [KB]: 1076
% 0.50/0.69  % (7018)Time elapsed: 0.005 s
% 0.50/0.69  % (7018)Instructions burned: 5 (million)
% 0.50/0.69  % (7018)------------------------------
% 0.50/0.69  % (7018)------------------------------
% 0.50/0.70  % (7024)Refutation not found, incomplete strategy% (7024)------------------------------
% 0.50/0.70  % (7024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70  % (7024)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.70  
% 0.50/0.70  % (7024)Memory used [KB]: 1160
% 0.50/0.70  % (7024)Time elapsed: 0.004 s
% 0.50/0.70  % (7024)Instructions burned: 11 (million)
% 0.50/0.70  % (7024)------------------------------
% 0.50/0.70  % (7024)------------------------------
% 0.50/0.70  % (7026)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)
% 0.50/0.70  % (7028)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)
% 0.50/0.71  % (7015)Instruction limit reached!
% 0.50/0.71  % (7015)------------------------------
% 0.50/0.71  % (7015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71  % (7015)Termination reason: Unknown
% 0.50/0.71  % (7015)Termination phase: Saturation
% 0.50/0.71  
% 0.50/0.71  % (7015)Memory used [KB]: 1520
% 0.50/0.71  % (7015)Time elapsed: 0.022 s
% 0.50/0.71  % (7015)Instructions burned: 35 (million)
% 0.50/0.71  % (7015)------------------------------
% 0.50/0.71  % (7015)------------------------------
% 0.50/0.71  % (7019)Instruction limit reached!
% 0.50/0.71  % (7019)------------------------------
% 0.50/0.71  % (7019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71  % (7019)Termination reason: Unknown
% 0.50/0.71  % (7019)Termination phase: Saturation
% 0.50/0.71  
% 0.50/0.71  % (7019)Memory used [KB]: 1544
% 0.50/0.71  % (7019)Time elapsed: 0.022 s
% 0.50/0.71  % (7019)Instructions burned: 34 (million)
% 0.50/0.71  % (7019)------------------------------
% 0.50/0.71  % (7019)------------------------------
% 0.60/0.72  % (7020)Instruction limit reached!
% 0.60/0.72  % (7020)------------------------------
% 0.60/0.72  % (7020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.72  % (7033)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 (2996ds/52Mi)
% 0.60/0.72  % (7020)Termination reason: Unknown
% 0.60/0.72  % (7020)Termination phase: Saturation
% 0.60/0.72  
% 0.60/0.72  % (7020)Memory used [KB]: 1367
% 0.60/0.72  % (7020)Time elapsed: 0.026 s
% 0.60/0.72  % (7020)Instructions burned: 45 (million)
% 0.60/0.72  % (7020)------------------------------
% 0.60/0.72  % (7020)------------------------------
% 0.60/0.72  % (7034)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 (2996ds/518Mi)
% 0.60/0.72  % (7038)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 (2996ds/42Mi)
% 0.60/0.72  % (7016)Instruction limit reached!
% 0.60/0.72  % (7016)------------------------------
% 0.60/0.72  % (7016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.72  % (7016)Termination reason: Unknown
% 0.60/0.72  % (7016)Termination phase: Saturation
% 0.60/0.72  
% 0.60/0.72  % (7016)Memory used [KB]: 1720
% 0.60/0.72  % (7016)Time elapsed: 0.035 s
% 0.60/0.72  % (7016)Instructions burned: 51 (million)
% 0.60/0.72  % (7016)------------------------------
% 0.60/0.72  % (7016)------------------------------
% 0.60/0.73  % (7026)Instruction limit reached!
% 0.60/0.73  % (7026)------------------------------
% 0.60/0.73  % (7026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.73  % (7026)Termination reason: Unknown
% 0.60/0.73  % (7026)Termination phase: Saturation
% 0.60/0.73  
% 0.60/0.73  % (7026)Memory used [KB]: 1630
% 0.60/0.73  % (7026)Time elapsed: 0.029 s
% 0.60/0.73  % (7026)Instructions burned: 51 (million)
% 0.60/0.73  % (7026)------------------------------
% 0.60/0.73  % (7026)------------------------------
% 0.60/0.73  % (7047)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 (2996ds/243Mi)
% 0.60/0.73  % (7050)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 (2996ds/117Mi)
% 0.60/0.74  % (7021)Instruction limit reached!
% 0.60/0.74  % (7021)------------------------------
% 0.60/0.74  % (7021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.74  % (7021)Termination reason: Unknown
% 0.60/0.74  % (7021)Termination phase: Saturation
% 0.60/0.74  
% 0.60/0.74  % (7021)Memory used [KB]: 1984
% 0.60/0.74  % (7021)Time elapsed: 0.047 s
% 0.60/0.74  % (7021)Instructions burned: 83 (million)
% 0.60/0.74  % (7021)------------------------------
% 0.60/0.74  % (7021)------------------------------
% 0.60/0.74  % (7017)Instruction limit reached!
% 0.60/0.74  % (7017)------------------------------
% 0.60/0.74  % (7017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.74  % (7017)Termination reason: Unknown
% 0.60/0.74  % (7017)Termination phase: Saturation
% 0.60/0.74  
% 0.60/0.74  % (7017)Memory used [KB]: 2049
% 0.60/0.74  % (7017)Time elapsed: 0.051 s
% 0.60/0.74  % (7017)Instructions burned: 78 (million)
% 0.60/0.74  % (7017)------------------------------
% 0.60/0.74  % (7017)------------------------------
% 0.60/0.74  % (7055)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 (2996ds/143Mi)
% 0.60/0.74  % (7057)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 (2996ds/93Mi)
% 0.60/0.75  % (7038)Instruction limit reached!
% 0.60/0.75  % (7038)------------------------------
% 0.60/0.75  % (7038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (7038)Termination reason: Unknown
% 0.60/0.75  % (7038)Termination phase: Saturation
% 0.60/0.75  
% 0.60/0.75  % (7038)Memory used [KB]: 1724
% 0.60/0.75  % (7038)Time elapsed: 0.030 s
% 0.60/0.75  % (7038)Instructions burned: 42 (million)
% 0.60/0.75  % (7038)------------------------------
% 0.60/0.75  % (7038)------------------------------
% 0.60/0.75  % (7033)Instruction limit reached!
% 0.60/0.75  % (7033)------------------------------
% 0.60/0.75  % (7033)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (7033)Termination reason: Unknown
% 0.60/0.75  % (7033)Termination phase: Saturation
% 0.60/0.75  
% 0.60/0.75  % (7033)Memory used [KB]: 1918
% 0.60/0.75  % (7033)Time elapsed: 0.035 s
% 0.60/0.75  % (7033)Instructions burned: 53 (million)
% 0.60/0.75  % (7033)------------------------------
% 0.60/0.75  % (7033)------------------------------
% 0.60/0.75  % (7067)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 (2996ds/62Mi)
% 0.87/0.76  % (7028)Instruction limit reached!
% 0.87/0.76  % (7028)------------------------------
% 0.87/0.76  % (7028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.76  % (7028)Termination reason: Unknown
% 0.87/0.76  % (7028)Termination phase: Saturation
% 0.87/0.76  
% 0.87/0.76  % (7028)Memory used [KB]: 1922
% 0.87/0.76  % (7028)Time elapsed: 0.056 s
% 0.87/0.76  % (7028)Instructions burned: 209 (million)
% 0.87/0.76  % (7028)------------------------------
% 0.87/0.76  % (7028)------------------------------
% 0.87/0.76  % (7068)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 (2996ds/32Mi)
% 0.87/0.76  % (7075)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 (2996ds/1919Mi)
% 0.87/0.77  % (7068)Instruction limit reached!
% 0.87/0.77  % (7068)------------------------------
% 0.87/0.77  % (7068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.77  % (7068)Termination reason: Unknown
% 0.87/0.77  % (7068)Termination phase: Saturation
% 0.87/0.77  
% 0.87/0.77  % (7068)Memory used [KB]: 1294
% 0.87/0.77  % (7068)Time elapsed: 0.018 s
% 0.87/0.77  % (7068)Instructions burned: 32 (million)
% 0.87/0.77  % (7068)------------------------------
% 0.87/0.77  % (7068)------------------------------
% 0.87/0.78  % (7055)Refutation not found, incomplete strategy% (7055)------------------------------
% 0.87/0.78  % (7055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.78  % (7055)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.78  
% 0.87/0.78  % (7055)Memory used [KB]: 1556
% 0.87/0.78  % (7055)Time elapsed: 0.038 s
% 0.87/0.78  % (7055)Instructions burned: 60 (million)
% 0.87/0.78  % (7084)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 (2996ds/55Mi)
% 0.87/0.78  % (7055)------------------------------
% 0.87/0.78  % (7055)------------------------------
% 0.87/0.78  % (7050)Instruction limit reached!
% 0.87/0.78  % (7050)------------------------------
% 0.87/0.78  % (7050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.78  % (7050)Termination reason: Unknown
% 0.87/0.78  % (7050)Termination phase: Saturation
% 0.87/0.78  
% 0.87/0.78  % (7050)Memory used [KB]: 2374
% 0.87/0.78  % (7050)Time elapsed: 0.052 s
% 0.87/0.78  % (7050)Instructions burned: 119 (million)
% 0.87/0.78  % (7050)------------------------------
% 0.87/0.78  % (7050)------------------------------
% 0.87/0.78  % (7089)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 (2996ds/53Mi)
% 0.87/0.78  % (7094)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 (2996ds/46Mi)
% 0.87/0.79  % (7067)Instruction limit reached!
% 0.87/0.79  % (7067)------------------------------
% 0.87/0.79  % (7067)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.79  % (7067)Termination reason: Unknown
% 0.87/0.79  % (7067)Termination phase: Saturation
% 0.87/0.79  
% 0.87/0.79  % (7067)Memory used [KB]: 1947
% 0.87/0.79  % (7067)Time elapsed: 0.041 s
% 0.87/0.79  % (7067)Instructions burned: 63 (million)
% 0.87/0.79  % (7067)------------------------------
% 0.87/0.79  % (7067)------------------------------
% 0.87/0.80  % (7103)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 (2996ds/102Mi)
% 0.87/0.80  % (7094)Refutation not found, incomplete strategy% (7094)------------------------------
% 0.87/0.80  % (7094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.80  % (7094)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.80  
% 0.87/0.80  % (7094)Memory used [KB]: 1277
% 0.87/0.80  % (7094)Time elapsed: 0.013 s
% 0.87/0.80  % (7094)Instructions burned: 18 (million)
% 0.87/0.80  % (7094)------------------------------
% 0.87/0.80  % (7094)------------------------------
% 0.87/0.80  % (7075)First to succeed.
% 0.87/0.80  % (7106)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 (2996ds/35Mi)
% 0.87/0.80  % (7075)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6960"
% 0.87/0.80  % (7057)Instruction limit reached!
% 0.87/0.80  % (7057)------------------------------
% 0.87/0.80  % (7057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.80  % (7057)Termination reason: Unknown
% 0.87/0.80  % (7057)Termination phase: Saturation
% 0.87/0.80  
% 0.87/0.80  % (7057)Memory used [KB]: 1946
% 0.87/0.80  % (7057)Time elapsed: 0.058 s
% 0.87/0.80  % (7057)Instructions burned: 93 (million)
% 0.87/0.80  % (7057)------------------------------
% 0.87/0.80  % (7057)------------------------------
% 0.87/0.80  % (7075)Refutation found. Thanks to Tanya!
% 0.87/0.80  % SZS status Theorem for theBenchmark
% 0.87/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.87/0.80  % (7075)------------------------------
% 0.87/0.80  % (7075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.80  % (7075)Termination reason: Refutation
% 0.87/0.80  
% 0.87/0.80  % (7075)Memory used [KB]: 2056
% 0.87/0.80  % (7075)Time elapsed: 0.045 s
% 0.87/0.80  % (7075)Instructions burned: 135 (million)
% 0.87/0.80  % (6960)Success in time 0.403 s
% 0.87/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------