TSTP Solution File: GRA008+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRA008+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n011.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 : Wed Aug 31 16:13:21 EDT 2022

% Result   : Theorem 3.18s 0.85s
% Output   : Refutation 3.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  205 (  20 unt;   0 def)
%            Number of atoms       :  772 ( 166 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  923 ( 356   ~; 347   |; 154   &)
%                                         (  29 <=>;  28  =>;   0  <=;   9 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   35 (  33 usr;  22 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :  347 ( 305   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2364,plain,
    $false,
    inference(avatar_sat_refutation,[],[f170,f183,f187,f192,f195,f199,f215,f266,f300,f589,f594,f627,f641,f846,f851,f852,f1057,f1777,f2273,f2313,f2330,f2363]) ).

fof(f2363,plain,
    ( ~ spl13_1
    | spl13_5
    | ~ spl13_10
    | ~ spl13_41
    | ~ spl13_43 ),
    inference(avatar_contradiction_clause,[],[f2362]) ).

fof(f2362,plain,
    ( $false
    | ~ spl13_1
    | spl13_5
    | ~ spl13_10
    | ~ spl13_41
    | ~ spl13_43 ),
    inference(subsumption_resolution,[],[f2349,f286]) ).

fof(f286,plain,
    ( ~ sequential(sK8,sK10)
    | ~ spl13_1
    | spl13_5
    | ~ spl13_10 ),
    inference(subsumption_resolution,[],[f284,f182]) ).

fof(f182,plain,
    ( ~ precedes(sK8,sK10,sK9)
    | spl13_5 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl13_5
  <=> precedes(sK8,sK10,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f284,plain,
    ( ~ sequential(sK8,sK10)
    | precedes(sK8,sK10,sK9)
    | ~ spl13_1
    | ~ spl13_10 ),
    inference(resolution,[],[f214,f166]) ).

fof(f166,plain,
    ( on_path(sK8,sK9)
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl13_1
  <=> on_path(sK8,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f214,plain,
    ( ! [X2] :
        ( ~ on_path(X2,sK9)
        | ~ sequential(X2,sK10)
        | precedes(X2,sK10,sK9) )
    | ~ spl13_10 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl13_10
  <=> ! [X2] :
        ( ~ on_path(X2,sK9)
        | ~ sequential(X2,sK10)
        | precedes(X2,sK10,sK9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

fof(f2349,plain,
    ( sequential(sK8,sK10)
    | ~ spl13_41
    | ~ spl13_43 ),
    inference(superposition,[],[f480,f489]) ).

fof(f489,plain,
    ( sK3(tail_of(sK10),head_of(sK8)) = sK8
    | ~ spl13_43 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f487,plain,
    ( spl13_43
  <=> sK3(tail_of(sK10),head_of(sK8)) = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).

fof(f480,plain,
    ( sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
    | ~ spl13_41 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl13_41
  <=> sequential(sK3(tail_of(sK10),head_of(sK8)),sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).

fof(f2330,plain,
    ( ~ spl13_6
    | ~ spl13_91
    | ~ spl13_93 ),
    inference(avatar_contradiction_clause,[],[f2329]) ).

fof(f2329,plain,
    ( $false
    | ~ spl13_6
    | ~ spl13_91
    | ~ spl13_93 ),
    inference(subsumption_resolution,[],[f2328,f840]) ).

fof(f840,plain,
    ( head_of(sK3(tail_of(sK10),head_of(sK8))) = head_of(sK8)
    | ~ spl13_91 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f838,plain,
    ( spl13_91
  <=> head_of(sK3(tail_of(sK10),head_of(sK8))) = head_of(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).

fof(f2328,plain,
    ( head_of(sK3(tail_of(sK10),head_of(sK8))) != head_of(sK8)
    | ~ spl13_6
    | ~ spl13_93 ),
    inference(trivial_inequality_removal,[],[f2326]) ).

fof(f2326,plain,
    ( head_of(sK3(tail_of(sK10),head_of(sK8))) != head_of(sK8)
    | tail_of(sK10) != tail_of(sK10)
    | ~ spl13_6
    | ~ spl13_93 ),
    inference(superposition,[],[f186,f850]) ).

fof(f850,plain,
    ( tail_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10)
    | ~ spl13_93 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl13_93
  <=> tail_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).

fof(f186,plain,
    ( ! [X4] :
        ( tail_of(X4) != tail_of(sK10)
        | head_of(X4) != head_of(sK8) )
    | ~ spl13_6 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f185,plain,
    ( spl13_6
  <=> ! [X4] :
        ( head_of(X4) != head_of(sK8)
        | tail_of(X4) != tail_of(sK10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).

fof(f2313,plain,
    ( ~ spl13_41
    | ~ spl13_124 ),
    inference(avatar_split_clause,[],[f2312,f1086,f478]) ).

fof(f1086,plain,
    ( spl13_124
  <=> sequential(sK8,sK3(tail_of(sK10),head_of(sK8))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).

fof(f2312,plain,
    ( ~ sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
    | ~ spl13_124 ),
    inference(subsumption_resolution,[],[f2302,f114]) ).

fof(f114,plain,
    sequential(sK10,sK8),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ! [X5] : ~ triangle(sK10,sK8,X5)
    & shortest_path(sK6,sK7,sK9)
    & precedes(sK10,sK8,sK9)
    & sequential(sK10,sK8)
    & complete ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10])],[f77,f78]) ).

fof(f78,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ! [X5] : ~ triangle(X4,X2,X5)
        & shortest_path(X0,X1,X3)
        & precedes(X4,X2,X3)
        & sequential(X4,X2) )
   => ( ! [X5] : ~ triangle(sK10,sK8,X5)
      & shortest_path(sK6,sK7,sK9)
      & precedes(sK10,sK8,sK9)
      & sequential(sK10,sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ! [X5] : ~ triangle(X4,X2,X5)
        & shortest_path(X0,X1,X3)
        & precedes(X4,X2,X3)
        & sequential(X4,X2) )
    & complete ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ( ? [X2,X1,X0,X4,X3] :
        ( ! [X5] : ~ triangle(X3,X0,X5)
        & shortest_path(X2,X1,X4)
        & precedes(X3,X0,X4)
        & sequential(X3,X0) )
    & complete ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ( ? [X2,X1,X3,X4,X0] :
        ( ! [X5] : ~ triangle(X3,X0,X5)
        & precedes(X3,X0,X4)
        & sequential(X3,X0)
        & shortest_path(X2,X1,X4) )
    & complete ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ~ ( complete
     => ! [X2,X1,X3,X4,X0] :
          ( ( precedes(X3,X0,X4)
            & sequential(X3,X0)
            & shortest_path(X2,X1,X4) )
         => ? [X5] : triangle(X3,X0,X5) ) ),
    inference(rectify,[],[f19]) ).

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

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

fof(f2302,plain,
    ( ~ sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
    | ~ sequential(sK10,sK8)
    | ~ spl13_124 ),
    inference(subsumption_resolution,[],[f2279,f117]) ).

fof(f117,plain,
    ! [X5] : ~ triangle(sK10,sK8,X5),
    inference(cnf_transformation,[],[f79]) ).

fof(f2279,plain,
    ( triangle(sK10,sK8,sK3(tail_of(sK10),head_of(sK8)))
    | ~ sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
    | ~ sequential(sK10,sK8)
    | ~ spl13_124 ),
    inference(resolution,[],[f1087,f157]) ).

fof(f157,plain,
    ! [X2,X1] :
      ( ~ sequential(X2,X1)
      | triangle(sK10,X2,X1)
      | ~ sequential(sK10,X2)
      | ~ sequential(X1,sK10) ),
    inference(subsumption_resolution,[],[f156,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | edge(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( ( X0 != X1
          & edge(X1)
          & head_of(X0) = tail_of(X1)
          & edge(X0) )
        | ~ sequential(X0,X1) )
      & ( sequential(X0,X1)
        | X0 = X1
        | ~ edge(X1)
        | head_of(X0) != tail_of(X1)
        | ~ edge(X0) ) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0] :
      ( ( ( X0 != X1
          & edge(X0)
          & tail_of(X0) = head_of(X1)
          & edge(X1) )
        | ~ sequential(X1,X0) )
      & ( sequential(X1,X0)
        | X0 = X1
        | ~ edge(X0)
        | tail_of(X0) != head_of(X1)
        | ~ edge(X1) ) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X1,X0] :
      ( ( ( X0 != X1
          & edge(X0)
          & tail_of(X0) = head_of(X1)
          & edge(X1) )
        | ~ sequential(X1,X0) )
      & ( sequential(X1,X0)
        | X0 = X1
        | ~ edge(X0)
        | tail_of(X0) != head_of(X1)
        | ~ edge(X1) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ( X0 != X1
        & edge(X0)
        & tail_of(X0) = head_of(X1)
        & edge(X1) )
    <=> sequential(X1,X0) ),
    inference(rectify,[],[f8]) ).

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

fof(f156,plain,
    ! [X2,X1] :
      ( ~ edge(X1)
      | triangle(sK10,X2,X1)
      | ~ sequential(sK10,X2)
      | ~ sequential(X1,sK10)
      | ~ sequential(X2,X1) ),
    inference(subsumption_resolution,[],[f155,f119]) ).

fof(f155,plain,
    ! [X2,X1] :
      ( ~ edge(X2)
      | ~ sequential(sK10,X2)
      | ~ sequential(X2,X1)
      | ~ sequential(X1,sK10)
      | ~ edge(X1)
      | triangle(sK10,X2,X1) ),
    inference(resolution,[],[f143,f96]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ~ edge(X1)
      | ~ edge(X0)
      | ~ edge(X2)
      | ~ sequential(X2,X0)
      | triangle(X1,X2,X0)
      | ~ sequential(X0,X1)
      | ~ sequential(X1,X2) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ~ sequential(X1,X2)
      | triangle(X1,X2,X0)
      | ~ edge(X1)
      | ~ sequential(X0,X1)
      | ~ edge(X0)
      | ~ sequential(X2,X0)
      | ~ edge(X2) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( ~ sequential(X0,X1)
      | triangle(X0,X1,X2)
      | ~ edge(X0)
      | ~ sequential(X2,X0)
      | ~ edge(X2)
      | ~ sequential(X1,X2)
      | ~ edge(X1) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( triangle(X0,X1,X2)
      | ~ edge(X0)
      | ~ edge(X2)
      | ~ edge(X1)
      | ~ sequential(X1,X2)
      | ~ sequential(X0,X1)
      | ~ sequential(X2,X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ( edge(X0)
        & edge(X2)
        & edge(X1)
        & sequential(X1,X2)
        & sequential(X0,X1)
        & sequential(X2,X0) )
     => triangle(X0,X1,X2) ),
    inference(unused_predicate_definition_removal,[],[f21]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( ( edge(X0)
        & edge(X2)
        & edge(X1)
        & sequential(X1,X2)
        & sequential(X0,X1)
        & sequential(X2,X0) )
    <=> triangle(X0,X1,X2) ),
    inference(rectify,[],[f13]) ).

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

fof(f143,plain,
    edge(sK10),
    inference(resolution,[],[f114,f119]) ).

fof(f1087,plain,
    ( sequential(sK8,sK3(tail_of(sK10),head_of(sK8)))
    | ~ spl13_124 ),
    inference(avatar_component_clause,[],[f1086]) ).

fof(f2273,plain,
    ( spl13_124
    | spl13_43
    | ~ spl13_60
    | ~ spl13_92 ),
    inference(avatar_split_clause,[],[f2263,f843,f586,f487,f1086]) ).

fof(f586,plain,
    ( spl13_60
  <=> edge(sK3(tail_of(sK10),head_of(sK8))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).

fof(f843,plain,
    ( spl13_92
  <=> head_of(sK8) = tail_of(sK3(tail_of(sK10),head_of(sK8))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).

fof(f2263,plain,
    ( sK3(tail_of(sK10),head_of(sK8)) = sK8
    | sequential(sK8,sK3(tail_of(sK10),head_of(sK8)))
    | ~ spl13_60
    | ~ spl13_92 ),
    inference(trivial_inequality_removal,[],[f2255]) ).

fof(f2255,plain,
    ( head_of(sK8) != head_of(sK8)
    | sK3(tail_of(sK10),head_of(sK8)) = sK8
    | sequential(sK8,sK3(tail_of(sK10),head_of(sK8)))
    | ~ spl13_60
    | ~ spl13_92 ),
    inference(resolution,[],[f2253,f142]) ).

fof(f142,plain,
    edge(sK8),
    inference(resolution,[],[f114,f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | edge(X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f2253,plain,
    ( ! [X2] :
        ( ~ edge(X2)
        | sK3(tail_of(sK10),head_of(sK8)) = X2
        | head_of(X2) != head_of(sK8)
        | sequential(X2,sK3(tail_of(sK10),head_of(sK8))) )
    | ~ spl13_60
    | ~ spl13_92 ),
    inference(forward_demodulation,[],[f635,f845]) ).

fof(f845,plain,
    ( head_of(sK8) = tail_of(sK3(tail_of(sK10),head_of(sK8)))
    | ~ spl13_92 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f635,plain,
    ( ! [X2] :
        ( ~ edge(X2)
        | sequential(X2,sK3(tail_of(sK10),head_of(sK8)))
        | head_of(X2) != tail_of(sK3(tail_of(sK10),head_of(sK8)))
        | sK3(tail_of(sK10),head_of(sK8)) = X2 )
    | ~ spl13_60 ),
    inference(resolution,[],[f588,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ edge(X1)
      | ~ edge(X0)
      | head_of(X0) != tail_of(X1)
      | sequential(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f588,plain,
    ( edge(sK3(tail_of(sK10),head_of(sK8)))
    | ~ spl13_60 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f1777,plain,
    ( spl13_20
    | ~ spl13_92
    | ~ spl13_93 ),
    inference(avatar_contradiction_clause,[],[f1776]) ).

fof(f1776,plain,
    ( $false
    | spl13_20
    | ~ spl13_92
    | ~ spl13_93 ),
    inference(subsumption_resolution,[],[f1775,f299]) ).

fof(f299,plain,
    ( head_of(sK8) != tail_of(sK10)
    | spl13_20 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl13_20
  <=> head_of(sK8) = tail_of(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).

fof(f1775,plain,
    ( head_of(sK8) = tail_of(sK10)
    | ~ spl13_92
    | ~ spl13_93 ),
    inference(forward_demodulation,[],[f850,f845]) ).

fof(f1057,plain,
    ( spl13_18
    | spl13_20
    | ~ spl13_40
    | ~ spl13_61 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | spl13_18
    | spl13_20
    | ~ spl13_40
    | ~ spl13_61 ),
    inference(subsumption_resolution,[],[f1055,f263]) ).

fof(f263,plain,
    ( head_of(sK8) != head_of(sK10)
    | spl13_18 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl13_18
  <=> head_of(sK8) = head_of(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).

fof(f1055,plain,
    ( head_of(sK8) = head_of(sK10)
    | spl13_20
    | ~ spl13_40
    | ~ spl13_61 ),
    inference(subsumption_resolution,[],[f1053,f299]) ).

fof(f1053,plain,
    ( head_of(sK8) = tail_of(sK10)
    | head_of(sK8) = head_of(sK10)
    | ~ spl13_40
    | ~ spl13_61 ),
    inference(resolution,[],[f1049,f91]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | tail_of(X1) = X0
      | head_of(X1) = X0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( ( ( head_of(X1) != X0
          | tail_of(X1) != X2
          | head_of(X1) != X2
          | tail_of(X1) != X0 )
        & ( ( head_of(X1) = X0
            & tail_of(X1) = X2 )
          | ( head_of(X1) = X2
            & tail_of(X1) = X0 ) ) )
      | ~ sP0(X0,X1,X2) ),
    inference(rectify,[],[f59]) ).

fof(f59,plain,
    ! [X0,X2,X1] :
      ( ( ( head_of(X2) != X0
          | tail_of(X2) != X1
          | head_of(X2) != X1
          | tail_of(X2) != X0 )
        & ( ( head_of(X2) = X0
            & tail_of(X2) = X1 )
          | ( head_of(X2) = X1
            & tail_of(X2) = X0 ) ) )
      | ~ sP0(X0,X2,X1) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0,X2,X1] :
      ( ( ( head_of(X2) != X0
          | tail_of(X2) != X1
          | head_of(X2) != X1
          | tail_of(X2) != X0 )
        & ( ( head_of(X2) = X0
            & tail_of(X2) = X1 )
          | ( head_of(X2) = X1
            & tail_of(X2) = X0 ) ) )
      | ~ sP0(X0,X2,X1) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X2,X1] :
      ( ( ( head_of(X2) = X1
          & tail_of(X2) = X0 )
      <~> ( head_of(X2) = X0
          & tail_of(X2) = X1 ) )
      | ~ sP0(X0,X2,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1049,plain,
    ( sP0(head_of(sK8),sK10,tail_of(sK10))
    | ~ spl13_40
    | ~ spl13_61 ),
    inference(superposition,[],[f593,f476]) ).

fof(f476,plain,
    ( sK10 = sK3(tail_of(sK10),head_of(sK8))
    | ~ spl13_40 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl13_40
  <=> sK10 = sK3(tail_of(sK10),head_of(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).

fof(f593,plain,
    ( sP0(head_of(sK8),sK3(tail_of(sK10),head_of(sK8)),tail_of(sK10))
    | ~ spl13_61 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f591,plain,
    ( spl13_61
  <=> sP0(head_of(sK8),sK3(tail_of(sK10),head_of(sK8)),tail_of(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).

fof(f852,plain,
    ( spl13_93
    | spl13_39
    | ~ spl13_61 ),
    inference(avatar_split_clause,[],[f836,f591,f470,f848]) ).

fof(f470,plain,
    ( spl13_39
  <=> head_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).

fof(f836,plain,
    ( head_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10)
    | tail_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10)
    | ~ spl13_61 ),
    inference(resolution,[],[f593,f90]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | head_of(X1) = X2
      | tail_of(X1) = X2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f851,plain,
    ( spl13_93
    | spl13_92
    | ~ spl13_61 ),
    inference(avatar_split_clause,[],[f833,f591,f843,f848]) ).

fof(f833,plain,
    ( head_of(sK8) = tail_of(sK3(tail_of(sK10),head_of(sK8)))
    | tail_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10)
    | ~ spl13_61 ),
    inference(resolution,[],[f593,f89]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | tail_of(X1) = X2
      | tail_of(X1) = X0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f846,plain,
    ( spl13_92
    | spl13_91
    | ~ spl13_61 ),
    inference(avatar_split_clause,[],[f835,f591,f838,f843]) ).

fof(f835,plain,
    ( head_of(sK3(tail_of(sK10),head_of(sK8))) = head_of(sK8)
    | head_of(sK8) = tail_of(sK3(tail_of(sK10),head_of(sK8)))
    | ~ spl13_61 ),
    inference(resolution,[],[f593,f91]) ).

fof(f641,plain,
    ( spl13_41
    | spl13_40
    | ~ spl13_39
    | ~ spl13_60 ),
    inference(avatar_split_clause,[],[f637,f586,f470,f474,f478]) ).

fof(f637,plain,
    ( head_of(sK3(tail_of(sK10),head_of(sK8))) != tail_of(sK10)
    | sK10 = sK3(tail_of(sK10),head_of(sK8))
    | sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
    | ~ spl13_60 ),
    inference(resolution,[],[f588,f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ edge(X0)
      | head_of(X0) != tail_of(sK10)
      | sK10 = X0
      | sequential(X0,sK10) ),
    inference(resolution,[],[f143,f118]) ).

fof(f627,plain,
    ~ spl13_19,
    inference(avatar_contradiction_clause,[],[f626]) ).

fof(f626,plain,
    ( $false
    | ~ spl13_19 ),
    inference(subsumption_resolution,[],[f605,f136]) ).

fof(f136,plain,
    ! [X1] : ~ sequential(X1,X1),
    inference(equality_resolution,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ sequential(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f605,plain,
    ( sequential(sK8,sK8)
    | ~ spl13_19 ),
    inference(superposition,[],[f114,f295]) ).

fof(f295,plain,
    ( sK10 = sK8
    | ~ spl13_19 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl13_19
  <=> sK10 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).

fof(f594,plain,
    ( spl13_20
    | spl13_61 ),
    inference(avatar_split_clause,[],[f342,f591,f297]) ).

fof(f342,plain,
    ( sP0(head_of(sK8),sK3(tail_of(sK10),head_of(sK8)),tail_of(sK10))
    | head_of(sK8) = tail_of(sK10) ),
    inference(resolution,[],[f277,f151]) ).

fof(f151,plain,
    vertex(tail_of(sK10)),
    inference(resolution,[],[f143,f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ edge(X0)
      | vertex(tail_of(X0)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,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(f277,plain,
    ! [X2] :
      ( ~ vertex(X2)
      | head_of(sK8) = X2
      | sP0(head_of(sK8),sK3(X2,head_of(sK8)),X2) ),
    inference(resolution,[],[f139,f147]) ).

fof(f147,plain,
    vertex(head_of(sK8)),
    inference(resolution,[],[f142,f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ edge(X0)
      | vertex(head_of(X0)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ vertex(X1)
      | X0 = X1
      | sP0(X1,sK3(X0,X1),X0)
      | ~ vertex(X0) ),
    inference(resolution,[],[f113,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ complete
      | X0 = X1
      | ~ vertex(X1)
      | sP0(X1,sK3(X0,X1),X0)
      | ~ vertex(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ~ complete
    | ! [X0,X1] :
        ( X0 = X1
        | ( sP0(X1,sK3(X0,X1),X0)
          & edge(sK3(X0,X1)) )
        | ~ vertex(X0)
        | ~ vertex(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f61,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sP0(X1,X2,X0)
          & edge(X2) )
     => ( sP0(X1,sK3(X0,X1),X0)
        & edge(sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ( ~ complete
    | ! [X0,X1] :
        ( X0 = X1
        | ? [X2] :
            ( sP0(X1,X2,X0)
            & edge(X2) )
        | ~ vertex(X0)
        | ~ vertex(X1) ) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ( ~ complete
    | ! [X1,X0] :
        ( X0 = X1
        | ? [X2] :
            ( sP0(X0,X2,X1)
            & edge(X2) )
        | ~ vertex(X1)
        | ~ vertex(X0) ) ),
    inference(definition_folding,[],[f36,f51]) ).

fof(f36,plain,
    ( ~ complete
    | ! [X1,X0] :
        ( X0 = X1
        | ? [X2] :
            ( ( ( head_of(X2) = X1
                & tail_of(X2) = X0 )
            <~> ( head_of(X2) = X0
                & tail_of(X2) = X1 ) )
            & edge(X2) )
        | ~ vertex(X1)
        | ~ vertex(X0) ) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ( ! [X1,X0] :
        ( ? [X2] :
            ( ( ( head_of(X2) = X1
                & tail_of(X2) = X0 )
            <~> ( head_of(X2) = X0
                & tail_of(X2) = X1 ) )
            & edge(X2) )
        | ~ vertex(X1)
        | ~ vertex(X0)
        | X0 = X1 )
    | ~ complete ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ( complete
   => ! [X1,X0] :
        ( ( vertex(X1)
          & vertex(X0)
          & X0 != X1 )
       => ? [X2] :
            ( ( ( head_of(X2) = X1
                & tail_of(X2) = X0 )
            <~> ( head_of(X2) = X0
                & tail_of(X2) = X1 ) )
            & edge(X2) ) ) ),
    inference(rectify,[],[f3]) ).

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

fof(f113,plain,
    complete,
    inference(cnf_transformation,[],[f79]) ).

fof(f589,plain,
    ( spl13_60
    | spl13_20 ),
    inference(avatar_split_clause,[],[f319,f297,f586]) ).

fof(f319,plain,
    ( head_of(sK8) = tail_of(sK10)
    | edge(sK3(tail_of(sK10),head_of(sK8))) ),
    inference(resolution,[],[f270,f151]) ).

fof(f270,plain,
    ! [X2] :
      ( ~ vertex(X2)
      | head_of(sK8) = X2
      | edge(sK3(X2,head_of(sK8))) ),
    inference(resolution,[],[f138,f147]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ~ vertex(X1)
      | edge(sK3(X0,X1))
      | X0 = X1
      | ~ vertex(X0) ),
    inference(resolution,[],[f113,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ complete
      | ~ vertex(X0)
      | ~ vertex(X1)
      | X0 = X1
      | edge(sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f300,plain,
    ( spl13_19
    | ~ spl13_20
    | ~ spl13_1
    | spl13_5
    | ~ spl13_10 ),
    inference(avatar_split_clause,[],[f291,f213,f180,f164,f297,f293]) ).

fof(f291,plain,
    ( head_of(sK8) != tail_of(sK10)
    | sK10 = sK8
    | ~ spl13_1
    | spl13_5
    | ~ spl13_10 ),
    inference(subsumption_resolution,[],[f289,f286]) ).

fof(f289,plain,
    ( head_of(sK8) != tail_of(sK10)
    | sK10 = sK8
    | sequential(sK8,sK10) ),
    inference(resolution,[],[f152,f142]) ).

fof(f266,plain,
    ~ spl13_18,
    inference(avatar_split_clause,[],[f265,f261]) ).

fof(f265,plain,
    head_of(sK8) != head_of(sK10),
    inference(superposition,[],[f146,f141]) ).

fof(f141,plain,
    head_of(sK10) = tail_of(sK8),
    inference(resolution,[],[f114,f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | head_of(X0) = tail_of(X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f146,plain,
    head_of(sK8) != tail_of(sK8),
    inference(resolution,[],[f142,f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ edge(X0)
      | head_of(X0) != tail_of(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,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(f215,plain,
    ( spl13_2
    | spl13_10
    | ~ spl13_7 ),
    inference(avatar_split_clause,[],[f210,f189,f213,f168]) ).

fof(f168,plain,
    ( spl13_2
  <=> ! [X2,X3] : ~ path(X2,X3,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f189,plain,
    ( spl13_7
  <=> on_path(sK10,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f210,plain,
    ( ! [X2,X0,X1] :
        ( ~ on_path(X2,sK9)
        | precedes(X2,sK10,sK9)
        | ~ sequential(X2,sK10)
        | ~ path(X0,X1,sK9) )
    | ~ spl13_7 ),
    inference(resolution,[],[f191,f124]) ).

fof(f124,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ on_path(X3,X2)
      | ~ path(X0,X1,X2)
      | ~ sequential(X4,X3)
      | precedes(X4,X3,X2)
      | ~ on_path(X4,X2) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4] :
          ( ( ! [X5] :
                ( ~ sequential(X4,X5)
                | ~ precedes(X5,X3,X2) )
            & ~ sequential(X4,X3) )
          | precedes(X4,X3,X2)
          | ~ on_path(X3,X2)
          | ~ on_path(X4,X2) )
      | ~ path(X0,X1,X2) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X2,X1,X0] :
      ( ! [X4,X3] :
          ( precedes(X4,X3,X2)
          | ( ! [X5] :
                ( ~ sequential(X4,X5)
                | ~ precedes(X5,X3,X2) )
            & ~ sequential(X4,X3) )
          | ~ on_path(X4,X2)
          | ~ on_path(X3,X2) )
      | ~ path(X0,X1,X2) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X2,X1,X0] :
      ( path(X0,X1,X2)
     => ! [X4,X3] :
          ( ( ( sequential(X4,X3)
              | ? [X5] :
                  ( precedes(X5,X3,X2)
                  & sequential(X4,X5) ) )
            & on_path(X4,X2)
            & on_path(X3,X2) )
         => precedes(X4,X3,X2) ) ),
    inference(rectify,[],[f9]) ).

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

fof(f191,plain,
    ( on_path(sK10,sK9)
    | ~ spl13_7 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f199,plain,
    ~ spl13_2,
    inference(avatar_contradiction_clause,[],[f198]) ).

fof(f198,plain,
    ( $false
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f196,f169]) ).

fof(f169,plain,
    ( ! [X2,X3] : ~ path(X2,X3,sK9)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f196,plain,
    path(sK6,sK7,sK9),
    inference(resolution,[],[f193,f104]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | path(X1,X0,X2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | X0 = X1
        | ~ path(X1,X0,X2)
        | ( ~ less_or_equal(length_of(X2),length_of(sK5(X0,X1,X2)))
          & path(X1,X0,sK5(X0,X1,X2)) ) )
      & ( ( X0 != X1
          & path(X1,X0,X2)
          & ! [X4] :
              ( less_or_equal(length_of(X2),length_of(X4))
              | ~ path(X1,X0,X4) ) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f72,f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ less_or_equal(length_of(X2),length_of(X3))
          & path(X1,X0,X3) )
     => ( ~ less_or_equal(length_of(X2),length_of(sK5(X0,X1,X2)))
        & path(X1,X0,sK5(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | X0 = X1
        | ~ path(X1,X0,X2)
        | ? [X3] :
            ( ~ less_or_equal(length_of(X2),length_of(X3))
            & path(X1,X0,X3) ) )
      & ( ( X0 != X1
          & path(X1,X0,X2)
          & ! [X4] :
              ( less_or_equal(length_of(X2),length_of(X4))
              | ~ path(X1,X0,X4) ) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X2,X1,X0] :
      ( ( sP2(X2,X1,X0)
        | X1 = X2
        | ~ path(X1,X2,X0)
        | ? [X3] :
            ( ~ less_or_equal(length_of(X0),length_of(X3))
            & path(X1,X2,X3) ) )
      & ( ( X1 != X2
          & path(X1,X2,X0)
          & ! [X3] :
              ( less_or_equal(length_of(X0),length_of(X3))
              | ~ path(X1,X2,X3) ) )
        | ~ sP2(X2,X1,X0) ) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X2,X1,X0] :
      ( ( sP2(X2,X1,X0)
        | X1 = X2
        | ~ path(X1,X2,X0)
        | ? [X3] :
            ( ~ less_or_equal(length_of(X0),length_of(X3))
            & path(X1,X2,X3) ) )
      & ( ( X1 != X2
          & path(X1,X2,X0)
          & ! [X3] :
              ( less_or_equal(length_of(X0),length_of(X3))
              | ~ path(X1,X2,X3) ) )
        | ~ sP2(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X2,X1,X0] :
      ( sP2(X2,X1,X0)
    <=> ( X1 != X2
        & path(X1,X2,X0)
        & ! [X3] :
            ( less_or_equal(length_of(X0),length_of(X3))
            | ~ path(X1,X2,X3) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f193,plain,
    sP2(sK7,sK6,sK9),
    inference(resolution,[],[f116,f108]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ shortest_path(X0,X2,X1)
      | sP2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ( shortest_path(X0,X2,X1)
        | ~ sP2(X2,X0,X1) )
      & ( sP2(X2,X0,X1)
        | ~ shortest_path(X0,X2,X1) ) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X1,X0,X2] :
      ( ( shortest_path(X1,X2,X0)
        | ~ sP2(X2,X1,X0) )
      & ( sP2(X2,X1,X0)
        | ~ shortest_path(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0,X2] :
      ( shortest_path(X1,X2,X0)
    <=> sP2(X2,X1,X0) ),
    inference(definition_folding,[],[f43,f55]) ).

fof(f43,plain,
    ! [X1,X0,X2] :
      ( shortest_path(X1,X2,X0)
    <=> ( X1 != X2
        & path(X1,X2,X0)
        & ! [X3] :
            ( less_or_equal(length_of(X0),length_of(X3))
            | ~ path(X1,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f26]) ).

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

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

fof(f116,plain,
    shortest_path(sK6,sK7,sK9),
    inference(cnf_transformation,[],[f79]) ).

fof(f195,plain,
    ~ spl13_4,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | ~ spl13_4 ),
    inference(resolution,[],[f178,f116]) ).

fof(f178,plain,
    ( ! [X8,X7] : ~ shortest_path(X7,X8,sK9)
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl13_4
  <=> ! [X8,X7] : ~ shortest_path(X7,X8,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f192,plain,
    ( spl13_2
    | spl13_7 ),
    inference(avatar_split_clause,[],[f158,f189,f168]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( on_path(sK10,sK9)
      | ~ path(X0,X1,sK9) ),
    inference(resolution,[],[f115,f100]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ precedes(X3,X4,X2)
      | ~ path(X1,X0,X2)
      | on_path(X3,X2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ~ path(X1,X0,X2)
      | ! [X3,X4] :
          ( ~ precedes(X3,X4,X2)
          | ( sP1(X4,X3,X2)
            & on_path(X4,X2)
            & on_path(X3,X2) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ! [X2,X1,X0] :
      ( ~ path(X1,X2,X0)
      | ! [X4,X3] :
          ( ~ precedes(X4,X3,X0)
          | ( sP1(X3,X4,X0)
            & on_path(X3,X0)
            & on_path(X4,X0) ) ) ),
    inference(definition_folding,[],[f46,f53]) ).

fof(f53,plain,
    ! [X3,X4,X0] :
      ( ( ? [X5] :
            ( precedes(X5,X3,X0)
            & sequential(X4,X5) )
      <~> sequential(X4,X3) )
      | ~ sP1(X3,X4,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f46,plain,
    ! [X2,X1,X0] :
      ( ~ path(X1,X2,X0)
      | ! [X4,X3] :
          ( ~ precedes(X4,X3,X0)
          | ( ( ? [X5] :
                  ( precedes(X5,X3,X0)
                  & sequential(X4,X5) )
            <~> sequential(X4,X3) )
            & on_path(X3,X0)
            & on_path(X4,X0) ) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X2,X1,X0] :
      ( path(X1,X2,X0)
     => ! [X4,X3] :
          ( precedes(X4,X3,X0)
         => ( ( ? [X5] :
                  ( precedes(X5,X3,X0)
                  & sequential(X4,X5) )
            <~> sequential(X4,X3) )
            & on_path(X3,X0)
            & on_path(X4,X0) ) ) ),
    inference(rectify,[],[f10]) ).

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

fof(f115,plain,
    precedes(sK10,sK8,sK9),
    inference(cnf_transformation,[],[f79]) ).

fof(f187,plain,
    ( spl13_6
    | spl13_4 ),
    inference(avatar_split_clause,[],[f160,f177,f185]) ).

fof(f160,plain,
    ! [X6,X4,X5] :
      ( ~ shortest_path(X5,X6,sK9)
      | head_of(X4) != head_of(sK8)
      | tail_of(X4) != tail_of(sK10) ),
    inference(resolution,[],[f115,f126]) ).

fof(f126,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ precedes(X4,X0,X3)
      | tail_of(X5) != tail_of(X4)
      | ~ shortest_path(X1,X2,X3)
      | head_of(X0) != head_of(X5) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ shortest_path(X1,X2,X3)
      | ( ~ precedes(X0,X4,X3)
        & ! [X5] :
            ( tail_of(X5) != tail_of(X4)
            | head_of(X0) != head_of(X5) ) )
      | ~ precedes(X4,X0,X3) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ! [X2,X4,X0,X3,X1] :
      ( ~ shortest_path(X4,X0,X3)
      | ( ~ precedes(X2,X1,X3)
        & ! [X5] :
            ( tail_of(X5) != tail_of(X1)
            | head_of(X5) != head_of(X2) ) )
      | ~ precedes(X1,X2,X3) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X4,X3,X0,X2,X1] :
      ( ( ~ precedes(X2,X1,X3)
        & ! [X5] :
            ( tail_of(X5) != tail_of(X1)
            | head_of(X5) != head_of(X2) ) )
      | ~ shortest_path(X4,X0,X3)
      | ~ precedes(X1,X2,X3) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X4,X3,X0,X2,X1] :
      ( ( shortest_path(X4,X0,X3)
        & precedes(X1,X2,X3) )
     => ( ~ ? [X5] :
              ( head_of(X5) = head_of(X2)
              & tail_of(X5) = tail_of(X1) )
        & ~ precedes(X2,X1,X3) ) ),
    inference(rectify,[],[f12]) ).

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

fof(f183,plain,
    ( spl13_4
    | ~ spl13_5 ),
    inference(avatar_split_clause,[],[f161,f180,f177]) ).

fof(f161,plain,
    ! [X8,X7] :
      ( ~ precedes(sK8,sK10,sK9)
      | ~ shortest_path(X7,X8,sK9) ),
    inference(resolution,[],[f115,f127]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ precedes(X0,X4,X3)
      | ~ shortest_path(X1,X2,X3)
      | ~ precedes(X4,X0,X3) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f170,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f159,f168,f164]) ).

fof(f159,plain,
    ! [X2,X3] :
      ( ~ path(X2,X3,sK9)
      | on_path(sK8,sK9) ),
    inference(resolution,[],[f115,f101]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ precedes(X3,X4,X2)
      | on_path(X4,X2)
      | ~ path(X1,X0,X2) ),
    inference(cnf_transformation,[],[f69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRA008+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 21:58:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (12060)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51  % (12067)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51  % (12069)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51  % (12082)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52  % (12075)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (12074)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (12074)Instruction limit reached!
% 0.20/0.52  % (12074)------------------------------
% 0.20/0.52  % (12074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (12074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (12074)Termination reason: Unknown
% 0.20/0.52  % (12074)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (12074)Memory used [KB]: 1535
% 0.20/0.52  % (12074)Time elapsed: 0.005 s
% 0.20/0.52  % (12074)Instructions burned: 3 (million)
% 0.20/0.52  % (12074)------------------------------
% 0.20/0.52  % (12074)------------------------------
% 0.20/0.52  % (12066)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (12068)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (12086)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (12088)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (12062)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (12064)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (12062)Instruction limit reached!
% 0.20/0.53  % (12062)------------------------------
% 0.20/0.53  % (12062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12062)Termination reason: Unknown
% 0.20/0.53  % (12062)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12062)Memory used [KB]: 1535
% 0.20/0.53  % (12062)Time elapsed: 0.003 s
% 0.20/0.53  % (12062)Instructions burned: 4 (million)
% 0.20/0.53  % (12062)------------------------------
% 0.20/0.53  % (12062)------------------------------
% 0.20/0.53  % (12089)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53  % (12061)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (12063)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (12065)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53  % (12078)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (12078)Instruction limit reached!
% 0.20/0.53  % (12078)------------------------------
% 0.20/0.53  % (12078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12078)Termination reason: Unknown
% 0.20/0.53  % (12078)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12078)Memory used [KB]: 6012
% 0.20/0.53  % (12078)Time elapsed: 0.003 s
% 0.20/0.53  % (12078)Instructions burned: 3 (million)
% 0.20/0.53  % (12078)------------------------------
% 0.20/0.53  % (12078)------------------------------
% 0.20/0.53  % (12063)Refutation not found, incomplete strategy% (12063)------------------------------
% 0.20/0.53  % (12063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12063)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (12063)Memory used [KB]: 6012
% 0.20/0.53  % (12063)Time elapsed: 0.134 s
% 0.20/0.53  % (12063)Instructions burned: 4 (million)
% 0.20/0.53  % (12063)------------------------------
% 0.20/0.53  % (12063)------------------------------
% 0.20/0.54  % (12076)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (12070)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (12084)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (12080)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54  % (12075)Instruction limit reached!
% 0.20/0.54  % (12075)------------------------------
% 0.20/0.54  % (12075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12075)Termination reason: Unknown
% 0.20/0.54  % (12075)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12075)Memory used [KB]: 6140
% 0.20/0.54  % (12075)Time elapsed: 0.149 s
% 0.20/0.54  % (12075)Instructions burned: 7 (million)
% 0.20/0.54  % (12075)------------------------------
% 0.20/0.54  % (12075)------------------------------
% 0.20/0.54  % (12079)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54  % (12083)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54  % (12081)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (12085)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54  % (12072)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54  % (12071)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (12073)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (12077)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (12077)Instruction limit reached!
% 0.20/0.55  % (12077)------------------------------
% 0.20/0.55  % (12077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12077)Termination reason: Unknown
% 0.20/0.55  % (12077)Termination phase: Preprocessing 3
% 0.20/0.55  
% 0.20/0.55  % (12077)Memory used [KB]: 1535
% 0.20/0.55  % (12077)Time elapsed: 0.002 s
% 0.20/0.55  % (12077)Instructions burned: 3 (million)
% 0.20/0.55  % (12077)------------------------------
% 0.20/0.55  % (12077)------------------------------
% 0.20/0.55  % (12088)Instruction limit reached!
% 0.20/0.55  % (12088)------------------------------
% 0.20/0.55  % (12088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12088)Termination reason: Unknown
% 0.20/0.55  % (12088)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12088)Memory used [KB]: 6140
% 0.20/0.55  % (12088)Time elapsed: 0.159 s
% 0.20/0.55  % (12088)Instructions burned: 8 (million)
% 0.20/0.55  % (12088)------------------------------
% 0.20/0.55  % (12088)------------------------------
% 0.20/0.55  % (12064)Instruction limit reached!
% 0.20/0.55  % (12064)------------------------------
% 0.20/0.55  % (12064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12064)Termination reason: Unknown
% 0.20/0.55  % (12064)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12064)Memory used [KB]: 6140
% 0.20/0.55  % (12064)Time elapsed: 0.142 s
% 0.20/0.55  % (12064)Instructions burned: 14 (million)
% 0.20/0.55  % (12064)------------------------------
% 0.20/0.55  % (12064)------------------------------
% 0.20/0.55  % (12061)Refutation not found, incomplete strategy% (12061)------------------------------
% 0.20/0.55  % (12061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12061)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (12061)Memory used [KB]: 6140
% 0.20/0.55  % (12061)Time elapsed: 0.138 s
% 0.20/0.55  % (12061)Instructions burned: 7 (million)
% 0.20/0.55  % (12061)------------------------------
% 0.20/0.55  % (12061)------------------------------
% 0.20/0.56  % (12087)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56  % (12065)Instruction limit reached!
% 0.20/0.56  % (12065)------------------------------
% 0.20/0.56  % (12065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (12072)Instruction limit reached!
% 0.20/0.56  % (12072)------------------------------
% 0.20/0.56  % (12072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (12070)Instruction limit reached!
% 0.20/0.56  % (12070)------------------------------
% 0.20/0.56  % (12070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (12070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (12070)Termination reason: Unknown
% 0.20/0.56  % (12070)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (12070)Memory used [KB]: 6268
% 0.20/0.56  % (12070)Time elapsed: 0.171 s
% 0.20/0.56  % (12070)Instructions burned: 13 (million)
% 0.20/0.56  % (12070)------------------------------
% 0.20/0.56  % (12070)------------------------------
% 0.20/0.56  % (12067)Instruction limit reached!
% 0.20/0.56  % (12067)------------------------------
% 0.20/0.56  % (12067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (12065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (12065)Termination reason: Unknown
% 0.20/0.57  % (12065)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (12065)Memory used [KB]: 1663
% 0.20/0.57  % (12065)Time elapsed: 0.165 s
% 0.20/0.57  % (12065)Instructions burned: 15 (million)
% 0.20/0.57  % (12065)------------------------------
% 0.20/0.57  % (12065)------------------------------
% 0.20/0.57  % (12066)Instruction limit reached!
% 0.20/0.57  % (12066)------------------------------
% 0.20/0.57  % (12066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (12079)Instruction limit reached!
% 0.20/0.57  % (12079)------------------------------
% 0.20/0.57  % (12079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (12071)Instruction limit reached!
% 0.20/0.57  % (12071)------------------------------
% 0.20/0.57  % (12071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (12071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (12071)Termination reason: Unknown
% 0.20/0.57  % (12071)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (12071)Memory used [KB]: 6140
% 0.20/0.57  % (12071)Time elapsed: 0.149 s
% 0.20/0.57  % (12071)Instructions burned: 7 (million)
% 0.20/0.57  % (12071)------------------------------
% 0.20/0.57  % (12071)------------------------------
% 0.20/0.57  % (12079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (12079)Termination reason: Unknown
% 0.20/0.57  % (12079)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (12079)Memory used [KB]: 6268
% 0.20/0.57  % (12079)Time elapsed: 0.170 s
% 0.20/0.57  % (12079)Instructions burned: 12 (million)
% 0.20/0.57  % (12079)------------------------------
% 0.20/0.57  % (12079)------------------------------
% 0.20/0.57  % (12072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (12072)Termination reason: Unknown
% 0.20/0.57  % (12072)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (12072)Memory used [KB]: 1918
% 0.20/0.57  % (12072)Time elapsed: 0.154 s
% 0.20/0.57  % (12072)Instructions burned: 17 (million)
% 0.20/0.57  % (12072)------------------------------
% 0.20/0.57  % (12072)------------------------------
% 0.20/0.58  % (12087)Instruction limit reached!
% 0.20/0.58  % (12087)------------------------------
% 0.20/0.58  % (12087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (12067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (12067)Termination reason: Unknown
% 0.20/0.58  % (12067)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (12067)Memory used [KB]: 6524
% 0.20/0.58  % (12067)Time elapsed: 0.169 s
% 0.20/0.58  % (12067)Instructions burned: 39 (million)
% 0.20/0.58  % (12067)------------------------------
% 0.20/0.58  % (12067)------------------------------
% 0.20/0.58  % (12066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (12066)Termination reason: Unknown
% 0.20/0.58  % (12066)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (12066)Memory used [KB]: 6268
% 0.20/0.58  % (12066)Time elapsed: 0.124 s
% 0.20/0.58  % (12066)Instructions burned: 39 (million)
% 0.20/0.58  % (12066)------------------------------
% 0.20/0.58  % (12066)------------------------------
% 0.20/0.58  % (12080)Instruction limit reached!
% 0.20/0.58  % (12080)------------------------------
% 0.20/0.58  % (12080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (12089)Instruction limit reached!
% 0.20/0.59  % (12089)------------------------------
% 0.20/0.59  % (12089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (12080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (12087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (12080)Termination reason: Unknown
% 0.20/0.59  % (12087)Termination reason: Unknown
% 0.20/0.59  % (12080)Termination phase: Saturation
% 0.20/0.59  % (12087)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  
% 0.20/0.59  % (12080)Memory used [KB]: 6396
% 0.20/0.59  % (12087)Memory used [KB]: 6524
% 0.20/0.59  % (12080)Time elapsed: 0.193 s
% 0.20/0.59  % (12087)Time elapsed: 0.168 s
% 0.20/0.59  % (12080)Instructions burned: 32 (million)
% 0.20/0.59  % (12087)Instructions burned: 26 (million)
% 0.20/0.59  % (12080)------------------------------
% 0.20/0.59  % (12080)------------------------------
% 0.20/0.59  % (12087)------------------------------
% 0.20/0.59  % (12087)------------------------------
% 1.90/0.59  % (12069)Instruction limit reached!
% 1.90/0.59  % (12069)------------------------------
% 1.90/0.59  % (12069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.59  % (12069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.59  % (12069)Termination reason: Unknown
% 1.90/0.59  % (12069)Termination phase: Saturation
% 1.90/0.59  
% 1.90/0.59  % (12069)Memory used [KB]: 6524
% 1.90/0.59  % (12069)Time elapsed: 0.148 s
% 1.90/0.59  % (12069)Instructions burned: 33 (million)
% 1.90/0.59  % (12069)------------------------------
% 1.90/0.59  % (12069)------------------------------
% 1.90/0.60  % (12089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60  % (12089)Termination reason: Unknown
% 1.90/0.60  % (12089)Termination phase: Saturation
% 1.90/0.60  
% 1.90/0.60  % (12089)Memory used [KB]: 6396
% 1.90/0.60  % (12089)Time elapsed: 0.189 s
% 1.90/0.60  % (12089)Instructions burned: 26 (million)
% 1.90/0.60  % (12089)------------------------------
% 1.90/0.60  % (12089)------------------------------
% 1.90/0.60  % (12083)Instruction limit reached!
% 1.90/0.60  % (12083)------------------------------
% 1.90/0.60  % (12083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.60  % (12083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60  % (12083)Termination reason: Unknown
% 1.90/0.60  % (12083)Termination phase: Saturation
% 1.90/0.60  
% 1.90/0.60  % (12083)Memory used [KB]: 1791
% 1.90/0.60  % (12083)Time elapsed: 0.185 s
% 1.90/0.60  % (12083)Instructions burned: 45 (million)
% 1.90/0.60  % (12083)------------------------------
% 1.90/0.60  % (12083)------------------------------
% 2.10/0.62  % (12068)Instruction limit reached!
% 2.10/0.62  % (12068)------------------------------
% 2.10/0.62  % (12068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.62  % (12073)Instruction limit reached!
% 2.10/0.62  % (12073)------------------------------
% 2.10/0.62  % (12073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.62  % (12073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.62  % (12073)Termination reason: Unknown
% 2.10/0.62  % (12073)Termination phase: Saturation
% 2.10/0.62  
% 2.10/0.62  % (12073)Memory used [KB]: 6780
% 2.10/0.62  % (12073)Time elapsed: 0.219 s
% 2.10/0.62  % (12073)Instructions burned: 52 (million)
% 2.10/0.62  % (12073)------------------------------
% 2.10/0.62  % (12073)------------------------------
% 2.23/0.64  % (12084)Instruction limit reached!
% 2.23/0.64  % (12084)------------------------------
% 2.23/0.64  % (12084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64  % (12076)Instruction limit reached!
% 2.23/0.64  % (12076)------------------------------
% 2.23/0.64  % (12076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64  % (12068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64  % (12068)Termination reason: Unknown
% 2.23/0.64  % (12068)Termination phase: Saturation
% 2.23/0.64  
% 2.23/0.64  % (12068)Memory used [KB]: 6780
% 2.23/0.64  % (12068)Time elapsed: 0.199 s
% 2.23/0.64  % (12068)Instructions burned: 49 (million)
% 2.23/0.64  % (12068)------------------------------
% 2.23/0.64  % (12068)------------------------------
% 2.23/0.64  % (12082)Instruction limit reached!
% 2.23/0.64  % (12082)------------------------------
% 2.23/0.64  % (12082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64  % (12082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64  % (12082)Termination reason: Unknown
% 2.23/0.64  % (12082)Termination phase: Saturation
% 2.23/0.64  
% 2.23/0.64  % (12082)Memory used [KB]: 7675
% 2.23/0.64  % (12082)Time elapsed: 0.202 s
% 2.23/0.64  % (12082)Instructions burned: 83 (million)
% 2.23/0.64  % (12082)------------------------------
% 2.23/0.64  % (12082)------------------------------
% 2.23/0.64  % (12076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64  % (12076)Termination reason: Unknown
% 2.23/0.64  % (12076)Termination phase: Saturation
% 2.23/0.64  
% 2.23/0.64  % (12076)Memory used [KB]: 6780
% 2.23/0.64  % (12076)Time elapsed: 0.234 s
% 2.23/0.64  % (12076)Instructions burned: 50 (million)
% 2.23/0.64  % (12076)------------------------------
% 2.23/0.64  % (12076)------------------------------
% 2.23/0.65  % (12090)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.23/0.65  % (12084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65  % (12084)Termination reason: Unknown
% 2.23/0.65  % (12084)Termination phase: Saturation
% 2.23/0.65  
% 2.23/0.65  % (12084)Memory used [KB]: 6780
% 2.23/0.65  % (12084)Time elapsed: 0.228 s
% 2.23/0.65  % (12084)Instructions burned: 51 (million)
% 2.23/0.65  % (12084)------------------------------
% 2.23/0.65  % (12084)------------------------------
% 2.23/0.66  % (12091)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.23/0.66  % (12093)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.23/0.67  % (12090)Refutation not found, incomplete strategy% (12090)------------------------------
% 2.23/0.67  % (12090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (12090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (12090)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.67  
% 2.23/0.67  % (12090)Memory used [KB]: 6012
% 2.23/0.67  % (12090)Time elapsed: 0.121 s
% 2.23/0.67  % (12090)Instructions burned: 2 (million)
% 2.23/0.67  % (12090)------------------------------
% 2.23/0.67  % (12090)------------------------------
% 2.23/0.67  % (12092)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.23/0.68  % (12097)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.23/0.68  % (12094)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.23/0.68  % (12091)Instruction limit reached!
% 2.23/0.68  % (12091)------------------------------
% 2.23/0.68  % (12091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  % (12091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (12091)Termination reason: Unknown
% 2.23/0.68  % (12091)Termination phase: Saturation
% 2.23/0.68  
% 2.23/0.68  % (12091)Memory used [KB]: 10490
% 2.23/0.68  % (12091)Time elapsed: 0.101 s
% 2.23/0.68  % (12091)Instructions burned: 8 (million)
% 2.23/0.68  % (12091)------------------------------
% 2.23/0.68  % (12091)------------------------------
% 2.23/0.68  % (12100)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.23/0.69  % (12095)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.23/0.69  % (12096)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.23/0.69  % (12096)Refutation not found, incomplete strategy% (12096)------------------------------
% 2.23/0.69  % (12096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69  % (12096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69  % (12096)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.69  
% 2.23/0.69  % (12096)Memory used [KB]: 6012
% 2.23/0.69  % (12096)Time elapsed: 0.117 s
% 2.23/0.69  % (12096)Instructions burned: 6 (million)
% 2.23/0.69  % (12096)------------------------------
% 2.23/0.69  % (12096)------------------------------
% 2.23/0.70  % (12081)Instruction limit reached!
% 2.23/0.70  % (12081)------------------------------
% 2.23/0.70  % (12081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70  % (12081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70  % (12081)Termination reason: Unknown
% 2.23/0.70  % (12081)Termination phase: Saturation
% 2.23/0.70  
% 2.23/0.70  % (12081)Memory used [KB]: 7419
% 2.23/0.70  % (12081)Time elapsed: 0.284 s
% 2.23/0.70  % (12081)Instructions burned: 99 (million)
% 2.23/0.70  % (12081)------------------------------
% 2.23/0.70  % (12081)------------------------------
% 2.23/0.70  % (12086)Refutation not found, non-redundant clauses discarded% (12086)------------------------------
% 2.23/0.70  % (12086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70  % (12086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70  % (12086)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.23/0.70  
% 2.23/0.70  % (12086)Memory used [KB]: 7036
% 2.23/0.70  % (12086)Time elapsed: 0.308 s
% 2.23/0.70  % (12086)Instructions burned: 97 (million)
% 2.23/0.70  % (12086)------------------------------
% 2.23/0.70  % (12086)------------------------------
% 2.23/0.71  % (12101)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.23/0.71  % (12104)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.23/0.71  % (12098)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.23/0.71  % (12106)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.23/0.71  % (12099)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.23/0.71  % (12085)Instruction limit reached!
% 2.23/0.71  % (12085)------------------------------
% 2.23/0.71  % (12085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (12085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (12085)Termination reason: Unknown
% 2.23/0.71  % (12085)Termination phase: Saturation
% 2.23/0.71  
% 2.23/0.71  % (12085)Memory used [KB]: 6780
% 2.23/0.71  % (12085)Time elapsed: 0.323 s
% 2.23/0.71  % (12085)Instructions burned: 95 (million)
% 2.23/0.71  % (12085)------------------------------
% 2.23/0.71  % (12085)------------------------------
% 2.68/0.72  % (12109)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.68/0.72  % (12103)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.68/0.72  % (12102)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.68/0.72  % (12105)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.68/0.73  % (12107)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.68/0.74  % (12110)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.68/0.74  % (12110)Refutation not found, incomplete strategy% (12110)------------------------------
% 2.68/0.74  % (12110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.74  % (12110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.74  % (12110)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.74  
% 2.68/0.74  % (12110)Memory used [KB]: 6012
% 2.68/0.74  % (12110)Time elapsed: 0.104 s
% 2.68/0.74  % (12110)Instructions burned: 2 (million)
% 2.68/0.74  % (12110)------------------------------
% 2.68/0.74  % (12110)------------------------------
% 2.68/0.75  % (12112)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.68/0.75  % (12108)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.68/0.75  % (12105)Instruction limit reached!
% 2.68/0.75  % (12105)------------------------------
% 2.68/0.75  % (12105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.75  % (12105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.75  % (12105)Termination reason: Unknown
% 2.68/0.75  % (12105)Termination phase: Saturation
% 2.68/0.75  
% 2.68/0.75  % (12105)Memory used [KB]: 6268
% 2.68/0.75  % (12105)Time elapsed: 0.154 s
% 2.68/0.75  % (12105)Instructions burned: 15 (million)
% 2.68/0.75  % (12105)------------------------------
% 2.68/0.75  % (12105)------------------------------
% 2.68/0.76  % (12111)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.68/0.76  % (12114)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.68/0.76  % (12112)Instruction limit reached!
% 2.68/0.76  % (12112)------------------------------
% 2.68/0.76  % (12112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76  % (12112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76  % (12112)Termination reason: Unknown
% 2.68/0.76  % (12112)Termination phase: Saturation
% 2.68/0.76  
% 2.68/0.76  % (12112)Memory used [KB]: 6140
% 2.68/0.76  % (12112)Time elapsed: 0.017 s
% 2.68/0.76  % (12112)Instructions burned: 10 (million)
% 2.68/0.76  % (12112)------------------------------
% 2.68/0.76  % (12112)------------------------------
% 2.68/0.76  % (12097)Instruction limit reached!
% 2.68/0.76  % (12097)------------------------------
% 2.68/0.76  % (12097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76  % (12097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76  % (12097)Termination reason: Unknown
% 2.68/0.76  % (12097)Termination phase: Saturation
% 2.68/0.76  
% 2.68/0.76  % (12097)Memory used [KB]: 6780
% 2.68/0.76  % (12097)Time elapsed: 0.181 s
% 2.68/0.76  % (12097)Instructions burned: 43 (million)
% 2.68/0.76  % (12097)------------------------------
% 2.68/0.76  % (12097)------------------------------
% 2.68/0.76  % (12109)Instruction limit reached!
% 2.68/0.76  % (12109)------------------------------
% 2.68/0.76  % (12109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76  % (12109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76  % (12109)Termination reason: Unknown
% 2.68/0.76  % (12109)Termination phase: Saturation
% 2.68/0.76  
% 2.68/0.76  % (12109)Memory used [KB]: 6396
% 2.68/0.76  % (12109)Time elapsed: 0.113 s
% 2.68/0.76  % (12109)Instructions burned: 19 (million)
% 2.68/0.76  % (12109)------------------------------
% 2.68/0.76  % (12109)------------------------------
% 2.68/0.76  % (12106)Instruction limit reached!
% 2.68/0.76  % (12106)------------------------------
% 2.68/0.76  % (12106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76  % (12106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76  % (12106)Termination reason: Unknown
% 2.68/0.76  % (12106)Termination phase: Saturation
% 2.68/0.76  
% 2.68/0.76  % (12106)Memory used [KB]: 6396
% 2.68/0.76  % (12106)Time elapsed: 0.144 s
% 2.68/0.76  % (12106)Instructions burned: 32 (million)
% 2.68/0.76  % (12106)------------------------------
% 2.68/0.76  % (12106)------------------------------
% 2.68/0.76  % (12098)Instruction limit reached!
% 2.68/0.76  % (12098)------------------------------
% 2.68/0.76  % (12098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76  % (12098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76  % (12098)Termination reason: Unknown
% 2.68/0.76  % (12098)Termination phase: Saturation
% 2.68/0.76  
% 2.68/0.76  % (12098)Memory used [KB]: 6268
% 2.68/0.76  % (12098)Time elapsed: 0.169 s
% 2.68/0.76  % (12098)Instructions burned: 32 (million)
% 2.68/0.76  % (12098)------------------------------
% 2.68/0.76  % (12098)------------------------------
% 2.68/0.78  % (12114)Instruction limit reached!
% 2.68/0.78  % (12114)------------------------------
% 2.68/0.78  % (12114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.78  % (12114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.78  % (12114)Termination reason: Unknown
% 2.68/0.78  % (12114)Termination phase: Saturation
% 2.68/0.78  
% 2.68/0.78  % (12114)Memory used [KB]: 6268
% 2.68/0.78  % (12114)Time elapsed: 0.024 s
% 2.68/0.78  % (12114)Instructions burned: 21 (million)
% 2.68/0.78  % (12114)------------------------------
% 2.68/0.78  % (12114)------------------------------
% 3.18/0.78  % (12115)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 3.18/0.79  % (12113)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 3.18/0.79  % (12113)Refutation not found, incomplete strategy% (12113)------------------------------
% 3.18/0.79  % (12113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.79  % (12113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.79  % (12113)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.79  
% 3.18/0.79  % (12113)Memory used [KB]: 6012
% 3.18/0.79  % (12113)Time elapsed: 0.115 s
% 3.18/0.79  % (12113)Instructions burned: 6 (million)
% 3.18/0.79  % (12113)------------------------------
% 3.18/0.79  % (12113)------------------------------
% 3.18/0.79  % (12095)Instruction limit reached!
% 3.18/0.79  % (12095)------------------------------
% 3.18/0.79  % (12095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.79  % (12095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.79  % (12095)Termination reason: Unknown
% 3.18/0.79  % (12095)Termination phase: Saturation
% 3.18/0.79  
% 3.18/0.79  % (12095)Memory used [KB]: 6268
% 3.18/0.79  % (12095)Time elapsed: 0.183 s
% 3.18/0.79  % (12095)Instructions burned: 58 (million)
% 3.18/0.79  % (12095)------------------------------
% 3.18/0.79  % (12095)------------------------------
% 3.18/0.79  % (12093)Instruction limit reached!
% 3.18/0.79  % (12093)------------------------------
% 3.18/0.79  % (12093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.79  % (12093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.79  % (12093)Termination reason: Unknown
% 3.18/0.79  % (12093)Termination phase: Saturation
% 3.18/0.79  
% 3.18/0.79  % (12093)Memory used [KB]: 2430
% 3.18/0.79  % (12093)Time elapsed: 0.216 s
% 3.18/0.79  % (12093)Instructions burned: 69 (million)
% 3.18/0.79  % (12093)------------------------------
% 3.18/0.79  % (12093)------------------------------
% 3.18/0.81  % (12116)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 3.18/0.81  % (12117)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/138Mi)
% 3.18/0.81  % (12100)Instruction limit reached!
% 3.18/0.81  % (12100)------------------------------
% 3.18/0.81  % (12100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.81  % (12100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.81  % (12100)Termination reason: Unknown
% 3.18/0.81  % (12100)Termination phase: Saturation
% 3.18/0.81  
% 3.18/0.81  % (12100)Memory used [KB]: 6524
% 3.18/0.81  % (12100)Time elapsed: 0.193 s
% 3.18/0.81  % (12100)Instructions burned: 84 (million)
% 3.18/0.81  % (12100)------------------------------
% 3.18/0.81  % (12100)------------------------------
% 3.18/0.81  % (12092)Instruction limit reached!
% 3.18/0.81  % (12092)------------------------------
% 3.18/0.81  % (12092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.81  % (12092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.81  % (12092)Termination reason: Unknown
% 3.18/0.81  % (12092)Termination phase: Saturation
% 3.18/0.81  
% 3.18/0.81  % (12092)Memory used [KB]: 6524
% 3.18/0.81  % (12092)Time elapsed: 0.245 s
% 3.18/0.81  % (12092)Instructions burned: 87 (million)
% 3.18/0.81  % (12092)------------------------------
% 3.18/0.81  % (12092)------------------------------
% 3.18/0.82  % (12118)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/393Mi)
% 3.18/0.82  % (12104)First to succeed.
% 3.18/0.82  % (12108)Instruction limit reached!
% 3.18/0.82  % (12108)------------------------------
% 3.18/0.82  % (12108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.82  % (12108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.82  % (12108)Termination reason: Unknown
% 3.18/0.82  % (12108)Termination phase: Saturation
% 3.18/0.82  
% 3.18/0.82  % (12108)Memory used [KB]: 6396
% 3.18/0.82  % (12108)Time elapsed: 0.211 s
% 3.18/0.82  % (12108)Instructions burned: 67 (million)
% 3.18/0.82  % (12108)------------------------------
% 3.18/0.82  % (12108)------------------------------
% 3.18/0.83  % (12119)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 3.18/0.84  % (12120)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 3.18/0.84  % (12099)Instruction limit reached!
% 3.18/0.84  % (12099)------------------------------
% 3.18/0.84  % (12099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.84  % (12099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.84  % (12099)Termination reason: Unknown
% 3.18/0.84  % (12099)Termination phase: Saturation
% 3.18/0.84  
% 3.18/0.84  % (12099)Memory used [KB]: 7803
% 3.18/0.84  % (12099)Time elapsed: 0.246 s
% 3.18/0.84  % (12099)Instructions burned: 69 (million)
% 3.18/0.84  % (12099)------------------------------
% 3.18/0.84  % (12099)------------------------------
% 3.18/0.85  % (12120)Refutation not found, incomplete strategy% (12120)------------------------------
% 3.18/0.85  % (12120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.85  % (12120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.85  % (12120)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.85  
% 3.18/0.85  % (12120)Memory used [KB]: 6140
% 3.18/0.85  % (12120)Time elapsed: 0.110 s
% 3.18/0.85  % (12120)Instructions burned: 7 (million)
% 3.18/0.85  % (12120)------------------------------
% 3.18/0.85  % (12120)------------------------------
% 3.18/0.85  % (12104)Refutation found. Thanks to Tanya!
% 3.18/0.85  % SZS status Theorem for theBenchmark
% 3.18/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 3.18/0.85  % (12104)------------------------------
% 3.18/0.85  % (12104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.85  % (12104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.85  % (12104)Termination reason: Refutation
% 3.18/0.85  
% 3.18/0.85  % (12104)Memory used [KB]: 7164
% 3.18/0.85  % (12104)Time elapsed: 0.212 s
% 3.18/0.85  % (12104)Instructions burned: 61 (million)
% 3.18/0.85  % (12104)------------------------------
% 3.18/0.85  % (12104)------------------------------
% 3.18/0.85  % (12059)Success in time 0.494 s
%------------------------------------------------------------------------------