TSTP Solution File: GRA004+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRA004+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_sat --cores 0 -t %d %s

% Computer : n002.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 16:13:31 EDT 2022

% Result   : Theorem 1.58s 0.55s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  151 (  26 unt;   0 def)
%            Number of atoms       :  536 ( 113 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  650 ( 265   ~; 211   |; 127   &)
%                                         (  22 <=>;  22  =>;   0  <=;   3 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   27 (  25 usr;   6 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :  358 ( 314   !;  44   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f496,plain,
    $false,
    inference(avatar_sat_refutation,[],[f218,f223,f279,f404,f485,f495]) ).

fof(f495,plain,
    ( ~ spl39_1
    | ~ spl39_4 ),
    inference(avatar_contradiction_clause,[],[f494]) ).

fof(f494,plain,
    ( $false
    | ~ spl39_1
    | ~ spl39_4 ),
    inference(subsumption_resolution,[],[f493,f209]) ).

fof(f209,plain,
    ( head_of(sK11) = head_of(sK6)
    | ~ spl39_1 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl39_1
  <=> head_of(sK11) = head_of(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_1])]) ).

fof(f493,plain,
    ( head_of(sK11) != head_of(sK6)
    | ~ spl39_4 ),
    inference(trivial_inequality_removal,[],[f489]) ).

fof(f489,plain,
    ( head_of(sK11) != head_of(sK6)
    | tail_of(sK8) != tail_of(sK8)
    | ~ spl39_4 ),
    inference(superposition,[],[f332,f222]) ).

fof(f222,plain,
    ( tail_of(sK11) = tail_of(sK8)
    | ~ spl39_4 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl39_4
  <=> tail_of(sK11) = tail_of(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_4])]) ).

fof(f332,plain,
    ! [X0] :
      ( tail_of(X0) != tail_of(sK8)
      | head_of(X0) != head_of(sK6) ),
    inference(resolution,[],[f171,f266]) ).

fof(f266,plain,
    sP21(sK6,sK8),
    inference(subsumption_resolution,[],[f265,f237]) ).

fof(f237,plain,
    sP20(sK7),
    inference(resolution,[],[f236,f168]) ).

fof(f168,plain,
    ! [X3,X0] :
      ( ~ sP19(X3,X0)
      | sP20(X3) ),
    inference(cnf_transformation,[],[f168_D]) ).

fof(f168_D,plain,
    ! [X3] :
      ( ! [X0] : ~ sP19(X3,X0)
    <=> ~ sP20(X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).

fof(f236,plain,
    sP19(sK7,sK10),
    inference(resolution,[],[f166,f143]) ).

fof(f143,plain,
    shortest_path(sK9,sK10,sK7),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( shortest_path(sK9,sK10,sK7)
    & ( head_of(sK8) = head_of(sK6)
      | ( head_of(sK11) = head_of(sK6)
        & tail_of(sK11) = tail_of(sK8) )
      | tail_of(sK8) = head_of(sK6) )
    & precedes(sK8,sK6,sK7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f89,f91,f90]) ).

fof(f90,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( shortest_path(X3,X4,X1)
        & ( head_of(X0) = head_of(X2)
          | ? [X5] :
              ( head_of(X0) = head_of(X5)
              & tail_of(X5) = tail_of(X2) )
          | head_of(X0) = tail_of(X2) )
        & precedes(X2,X0,X1) )
   => ( shortest_path(sK9,sK10,sK7)
      & ( head_of(sK8) = head_of(sK6)
        | ? [X5] :
            ( head_of(X5) = head_of(sK6)
            & tail_of(X5) = tail_of(sK8) )
        | tail_of(sK8) = head_of(sK6) )
      & precedes(sK8,sK6,sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ( ? [X5] :
        ( head_of(X5) = head_of(sK6)
        & tail_of(X5) = tail_of(sK8) )
   => ( head_of(sK11) = head_of(sK6)
      & tail_of(sK11) = tail_of(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ? [X0,X1,X2,X3,X4] :
      ( shortest_path(X3,X4,X1)
      & ( head_of(X0) = head_of(X2)
        | ? [X5] :
            ( head_of(X0) = head_of(X5)
            & tail_of(X5) = tail_of(X2) )
        | head_of(X0) = tail_of(X2) )
      & precedes(X2,X0,X1) ),
    inference(rectify,[],[f50]) ).

fof(f50,plain,
    ? [X1,X2,X3,X4,X0] :
      ( shortest_path(X4,X0,X2)
      & ( head_of(X3) = head_of(X1)
        | ? [X5] :
            ( head_of(X5) = head_of(X1)
            & tail_of(X5) = tail_of(X3) )
        | tail_of(X3) = head_of(X1) )
      & precedes(X3,X1,X2) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ? [X2,X0,X1,X3,X4] :
      ( ( head_of(X3) = head_of(X1)
        | ? [X5] :
            ( head_of(X5) = head_of(X1)
            & tail_of(X5) = tail_of(X3) )
        | tail_of(X3) = head_of(X1) )
      & precedes(X3,X1,X2)
      & shortest_path(X4,X0,X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X2,X0,X1,X3,X4] :
        ( ( precedes(X3,X1,X2)
          & shortest_path(X4,X0,X2) )
       => ( ~ ? [X5] :
                ( head_of(X5) = head_of(X1)
                & tail_of(X5) = tail_of(X3) )
          & tail_of(X3) != head_of(X1)
          & head_of(X3) != head_of(X1) ) ),
    inference(rectify,[],[f19]) ).

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

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

fof(f166,plain,
    ! [X2,X3,X0] :
      ( ~ shortest_path(X2,X0,X3)
      | sP19(X3,X0) ),
    inference(cnf_transformation,[],[f166_D]) ).

fof(f166_D,plain,
    ! [X0,X3] :
      ( ! [X2] : ~ shortest_path(X2,X0,X3)
    <=> ~ sP19(X3,X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f265,plain,
    ( sP21(sK6,sK8)
    | ~ sP20(sK7) ),
    inference(resolution,[],[f170,f140]) ).

fof(f140,plain,
    precedes(sK8,sK6,sK7),
    inference(cnf_transformation,[],[f92]) ).

fof(f170,plain,
    ! [X3,X1,X4] :
      ( ~ precedes(X1,X4,X3)
      | sP21(X4,X1)
      | ~ sP20(X3) ),
    inference(cnf_transformation,[],[f170_D]) ).

fof(f170_D,plain,
    ! [X1,X4] :
      ( ! [X3] :
          ( ~ precedes(X1,X4,X3)
          | ~ sP20(X3) )
    <=> ~ sP21(X4,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).

fof(f171,plain,
    ! [X1,X4,X5] :
      ( ~ sP21(X4,X1)
      | head_of(X5) != head_of(X4)
      | tail_of(X5) != tail_of(X1) ),
    inference(general_splitting,[],[f169,f170_D]) ).

fof(f169,plain,
    ! [X3,X1,X4,X5] :
      ( tail_of(X5) != tail_of(X1)
      | head_of(X5) != head_of(X4)
      | ~ precedes(X1,X4,X3)
      | ~ sP20(X3) ),
    inference(general_splitting,[],[f167,f168_D]) ).

fof(f167,plain,
    ! [X3,X0,X1,X4,X5] :
      ( tail_of(X5) != tail_of(X1)
      | head_of(X5) != head_of(X4)
      | ~ precedes(X1,X4,X3)
      | ~ sP19(X3,X0) ),
    inference(general_splitting,[],[f121,f166_D]) ).

fof(f121,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( tail_of(X5) != tail_of(X1)
      | head_of(X5) != head_of(X4)
      | ~ precedes(X1,X4,X3)
      | ~ shortest_path(X2,X0,X3) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ~ precedes(X4,X1,X3)
        & ! [X5] :
            ( tail_of(X5) != tail_of(X1)
            | head_of(X5) != head_of(X4) ) )
      | ~ precedes(X1,X4,X3)
      | ~ shortest_path(X2,X0,X3) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X2,X0,X3,X1,X4] :
      ( ( ~ precedes(X4,X0,X1)
        & ! [X5] :
            ( tail_of(X0) != tail_of(X5)
            | head_of(X5) != head_of(X4) ) )
      | ~ precedes(X0,X4,X1)
      | ~ shortest_path(X3,X2,X1) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X3,X0,X2,X1,X4] :
      ( ( ~ precedes(X4,X0,X1)
        & ! [X5] :
            ( tail_of(X0) != tail_of(X5)
            | head_of(X5) != head_of(X4) ) )
      | ~ shortest_path(X3,X2,X1)
      | ~ precedes(X0,X4,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X3,X0,X2,X1,X4] :
      ( ( shortest_path(X3,X2,X1)
        & precedes(X0,X4,X1) )
     => ( ~ precedes(X4,X0,X1)
        & ~ ? [X5] :
              ( head_of(X5) = head_of(X4)
              & tail_of(X0) = tail_of(X5) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X6,X3,X2,X1,X7] :
      ( ( precedes(X6,X7,X3)
        & shortest_path(X1,X2,X3) )
     => ( ~ ? [X8] :
              ( head_of(X8) = head_of(X7)
              & tail_of(X8) = tail_of(X6) )
        & ~ precedes(X7,X6,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shortest_path_properties) ).

fof(f485,plain,
    ~ spl39_3,
    inference(avatar_split_clause,[],[f477,f215]) ).

fof(f215,plain,
    ( spl39_3
  <=> head_of(sK8) = head_of(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_3])]) ).

fof(f477,plain,
    head_of(sK8) != head_of(sK6),
    inference(equality_resolution,[],[f332]) ).

fof(f404,plain,
    ( ~ spl39_2
    | ~ spl39_5 ),
    inference(avatar_contradiction_clause,[],[f403]) ).

fof(f403,plain,
    ( $false
    | ~ spl39_2
    | ~ spl39_5 ),
    inference(subsumption_resolution,[],[f392,f271]) ).

fof(f271,plain,
    tail_of(sK6) != head_of(sK6),
    inference(resolution,[],[f270,f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ~ edge(X0)
      | head_of(X0) != tail_of(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,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(f270,plain,
    edge(sK6),
    inference(subsumption_resolution,[],[f269,f242]) ).

fof(f242,plain,
    ~ sP15(sK7),
    inference(resolution,[],[f238,f159]) ).

fof(f159,plain,
    ! [X2,X3,X1] :
      ( ~ path(X2,X1,X3)
      | ~ sP15(X3) ),
    inference(general_splitting,[],[f117,f158_D]) ).

fof(f158,plain,
    ! [X3,X0] :
      ( ~ on_path(X0,X3)
      | sP15(X3)
      | edge(X0) ),
    inference(cnf_transformation,[],[f158_D]) ).

fof(f158_D,plain,
    ! [X3] :
      ( ! [X0] :
          ( ~ on_path(X0,X3)
          | edge(X0) )
    <=> ~ sP15(X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1] :
      ( ~ path(X2,X1,X3)
      | ~ on_path(X0,X3)
      | edge(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3] :
      ( ~ path(X2,X1,X3)
      | ~ on_path(X0,X3)
      | ( in_path(tail_of(X0),X3)
        & edge(X0)
        & in_path(head_of(X0),X3) ) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X3,X2,X1,X0] :
      ( ~ path(X1,X2,X0)
      | ~ on_path(X3,X0)
      | ( in_path(tail_of(X3),X0)
        & edge(X3)
        & in_path(head_of(X3),X0) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X3,X0,X2,X1] :
      ( ( in_path(tail_of(X3),X0)
        & edge(X3)
        & in_path(head_of(X3),X0) )
      | ~ on_path(X3,X0)
      | ~ path(X1,X2,X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X3,X0,X2,X1] :
      ( ( on_path(X3,X0)
        & path(X1,X2,X0) )
     => ( in_path(tail_of(X3),X0)
        & edge(X3)
        & in_path(head_of(X3),X0) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X3,X1,X2,X0] :
      ( ( on_path(X0,X3)
        & path(X1,X2,X3) )
     => ( in_path(head_of(X0),X3)
        & edge(X0)
        & in_path(tail_of(X0),X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',on_path_properties) ).

fof(f238,plain,
    path(sK9,sK10,sK7),
    inference(resolution,[],[f134,f143]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( ~ shortest_path(X2,X0,X1)
      | path(X2,X0,X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ( shortest_path(X2,X0,X1)
        | X0 = X2
        | ~ path(X2,X0,X1)
        | ( ~ less_or_equal(length_of(X1),length_of(sK5(X0,X1,X2)))
          & path(X2,X0,sK5(X0,X1,X2)) ) )
      & ( ( X0 != X2
          & path(X2,X0,X1)
          & ! [X4] :
              ( less_or_equal(length_of(X1),length_of(X4))
              | ~ path(X2,X0,X4) ) )
        | ~ shortest_path(X2,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f85,f86]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ less_or_equal(length_of(X1),length_of(X3))
          & path(X2,X0,X3) )
     => ( ~ less_or_equal(length_of(X1),length_of(sK5(X0,X1,X2)))
        & path(X2,X0,sK5(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ( shortest_path(X2,X0,X1)
        | X0 = X2
        | ~ path(X2,X0,X1)
        | ? [X3] :
            ( ~ less_or_equal(length_of(X1),length_of(X3))
            & path(X2,X0,X3) ) )
      & ( ( X0 != X2
          & path(X2,X0,X1)
          & ! [X4] :
              ( less_or_equal(length_of(X1),length_of(X4))
              | ~ path(X2,X0,X4) ) )
        | ~ shortest_path(X2,X0,X1) ) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X0,X2,X1] :
      ( ( shortest_path(X1,X0,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)
          & ! [X3] :
              ( less_or_equal(length_of(X2),length_of(X3))
              | ~ path(X1,X0,X3) ) )
        | ~ shortest_path(X1,X0,X2) ) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X0,X2,X1] :
      ( ( shortest_path(X1,X0,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)
          & ! [X3] :
              ( less_or_equal(length_of(X2),length_of(X3))
              | ~ path(X1,X0,X3) ) )
        | ~ shortest_path(X1,X0,X2) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X2,X1] :
      ( shortest_path(X1,X0,X2)
    <=> ( X0 != X1
        & path(X1,X0,X2)
        & ! [X3] :
            ( less_or_equal(length_of(X2),length_of(X3))
            | ~ path(X1,X0,X3) ) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X2,X1,X0] :
      ( ( path(X1,X0,X2)
        & ! [X3] :
            ( path(X1,X0,X3)
           => less_or_equal(length_of(X2),length_of(X3)) )
        & X0 != X1 )
    <=> shortest_path(X1,X0,X2) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X2,X1,X9] :
      ( ( path(X1,X2,X9)
        & ! [X3] :
            ( path(X1,X2,X3)
           => less_or_equal(length_of(X9),length_of(X3)) )
        & X1 != X2 )
    <=> shortest_path(X1,X2,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shortest_path_defn) ).

fof(f269,plain,
    ( edge(sK6)
    | sP15(sK7) ),
    inference(resolution,[],[f268,f158]) ).

fof(f268,plain,
    on_path(sK6,sK7),
    inference(subsumption_resolution,[],[f267,f254]) ).

fof(f254,plain,
    sP23(sK7),
    inference(resolution,[],[f244,f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ sP22(X0,X1)
      | sP23(X0) ),
    inference(cnf_transformation,[],[f174_D]) ).

fof(f174_D,plain,
    ! [X0] :
      ( ! [X1] : ~ sP22(X0,X1)
    <=> ~ sP23(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f244,plain,
    sP22(sK7,sK10),
    inference(resolution,[],[f238,f172]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( ~ path(X2,X1,X0)
      | sP22(X0,X1) ),
    inference(cnf_transformation,[],[f172_D]) ).

fof(f172_D,plain,
    ! [X1,X0] :
      ( ! [X2] : ~ path(X2,X1,X0)
    <=> ~ sP22(X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f267,plain,
    ( ~ sP23(sK7)
    | on_path(sK6,sK7) ),
    inference(resolution,[],[f175,f140]) ).

fof(f175,plain,
    ! [X3,X0,X4] :
      ( ~ precedes(X4,X3,X0)
      | on_path(X3,X0)
      | ~ sP23(X0) ),
    inference(general_splitting,[],[f173,f174_D]) ).

fof(f173,plain,
    ! [X3,X0,X1,X4] :
      ( on_path(X3,X0)
      | ~ precedes(X4,X3,X0)
      | ~ sP22(X0,X1) ),
    inference(general_splitting,[],[f128,f172_D]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1,X4] :
      ( on_path(X3,X0)
      | ~ precedes(X4,X3,X0)
      | ~ path(X2,X1,X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4] :
          ( ( on_path(X3,X0)
            & on_path(X4,X0)
            & ( ~ sequential(X4,X3)
              | ! [X5] :
                  ( ~ sequential(X4,X5)
                  | ~ precedes(X5,X3,X0) ) )
            & ( sequential(X4,X3)
              | ( sequential(X4,sK4(X0,X3,X4))
                & precedes(sK4(X0,X3,X4),X3,X0) ) ) )
          | ~ precedes(X4,X3,X0) )
      | ~ path(X2,X1,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f78,f79]) ).

fof(f79,plain,
    ! [X0,X3,X4] :
      ( ? [X6] :
          ( sequential(X4,X6)
          & precedes(X6,X3,X0) )
     => ( sequential(X4,sK4(X0,X3,X4))
        & precedes(sK4(X0,X3,X4),X3,X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4] :
          ( ( on_path(X3,X0)
            & on_path(X4,X0)
            & ( ~ sequential(X4,X3)
              | ! [X5] :
                  ( ~ sequential(X4,X5)
                  | ~ precedes(X5,X3,X0) ) )
            & ( sequential(X4,X3)
              | ? [X6] :
                  ( sequential(X4,X6)
                  & precedes(X6,X3,X0) ) ) )
          | ~ precedes(X4,X3,X0) )
      | ~ path(X2,X1,X0) ),
    inference(rectify,[],[f77]) ).

fof(f77,plain,
    ! [X1,X2,X0] :
      ( ! [X3,X4] :
          ( ( on_path(X3,X1)
            & on_path(X4,X1)
            & ( ~ sequential(X4,X3)
              | ! [X5] :
                  ( ~ sequential(X4,X5)
                  | ~ precedes(X5,X3,X1) ) )
            & ( sequential(X4,X3)
              | ? [X5] :
                  ( sequential(X4,X5)
                  & precedes(X5,X3,X1) ) ) )
          | ~ precedes(X4,X3,X1) )
      | ~ path(X0,X2,X1) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X1,X2,X0] :
      ( ! [X3,X4] :
          ( ( on_path(X3,X1)
            & on_path(X4,X1)
            & ( ~ sequential(X4,X3)
              | ! [X5] :
                  ( ~ sequential(X4,X5)
                  | ~ precedes(X5,X3,X1) ) )
            & ( sequential(X4,X3)
              | ? [X5] :
                  ( sequential(X4,X5)
                  & precedes(X5,X3,X1) ) ) )
          | ~ precedes(X4,X3,X1) )
      | ~ path(X0,X2,X1) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X1,X2,X0] :
      ( ! [X3,X4] :
          ( ( on_path(X3,X1)
            & on_path(X4,X1)
            & ( ? [X5] :
                  ( sequential(X4,X5)
                  & precedes(X5,X3,X1) )
            <~> sequential(X4,X3) ) )
          | ~ precedes(X4,X3,X1) )
      | ~ path(X0,X2,X1) ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f10,axiom,
    ! [X1,X3,X2] :
      ( path(X1,X2,X3)
     => ! [X7,X6] :
          ( precedes(X6,X7,X3)
         => ( ( ? [X8] :
                  ( sequential(X6,X8)
                  & precedes(X8,X7,X3) )
            <~> sequential(X6,X7) )
            & on_path(X6,X3)
            & on_path(X7,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',precedes_properties) ).

fof(f392,plain,
    ( tail_of(sK6) = head_of(sK6)
    | ~ spl39_2
    | ~ spl39_5 ),
    inference(backward_demodulation,[],[f213,f390]) ).

fof(f390,plain,
    ( sK6 = sK8
    | ~ spl39_2
    | ~ spl39_5 ),
    inference(subsumption_resolution,[],[f389,f270]) ).

fof(f389,plain,
    ( ~ edge(sK6)
    | sK6 = sK8
    | ~ spl39_2
    | ~ spl39_5 ),
    inference(subsumption_resolution,[],[f388,f213]) ).

fof(f388,plain,
    ( sK6 = sK8
    | tail_of(sK8) != head_of(sK6)
    | ~ edge(sK6)
    | ~ spl39_5 ),
    inference(subsumption_resolution,[],[f387,f227]) ).

fof(f227,plain,
    ( edge(sK8)
    | ~ spl39_5 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl39_5
  <=> edge(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_5])]) ).

fof(f387,plain,
    ( ~ edge(sK8)
    | tail_of(sK8) != head_of(sK6)
    | ~ edge(sK6)
    | sK6 = sK8 ),
    inference(resolution,[],[f386,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( sequential(X1,X0)
      | ~ edge(X1)
      | tail_of(X0) != head_of(X1)
      | ~ edge(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( sequential(X1,X0)
        | ~ edge(X1)
        | tail_of(X0) != head_of(X1)
        | ~ edge(X0)
        | X0 = X1 )
      & ( ( edge(X1)
          & tail_of(X0) = head_of(X1)
          & edge(X0)
          & X0 != X1 )
        | ~ sequential(X1,X0) ) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ( sequential(X1,X0)
        | ~ edge(X1)
        | tail_of(X0) != head_of(X1)
        | ~ edge(X0)
        | X0 = X1 )
      & ( ( edge(X1)
          & tail_of(X0) = head_of(X1)
          & edge(X0)
          & X0 != X1 )
        | ~ sequential(X1,X0) ) ),
    inference(nnf_transformation,[],[f27]) ).

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

fof(f8,axiom,
    ! [X7,X6] :
      ( sequential(X6,X7)
    <=> ( X6 != X7
        & edge(X6)
        & head_of(X6) = tail_of(X7)
        & edge(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sequential_defn) ).

fof(f386,plain,
    ~ sequential(sK6,sK8),
    inference(subsumption_resolution,[],[f385,f273]) ).

fof(f273,plain,
    on_path(sK8,sK7),
    inference(subsumption_resolution,[],[f272,f255]) ).

fof(f255,plain,
    sP25(sK7),
    inference(resolution,[],[f245,f178]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ~ sP24(X0,X1)
      | sP25(X0) ),
    inference(cnf_transformation,[],[f178_D]) ).

fof(f178_D,plain,
    ! [X0] :
      ( ! [X1] : ~ sP24(X0,X1)
    <=> ~ sP25(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f245,plain,
    sP24(sK7,sK10),
    inference(resolution,[],[f238,f176]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( ~ path(X2,X1,X0)
      | sP24(X0,X1) ),
    inference(cnf_transformation,[],[f176_D]) ).

fof(f176_D,plain,
    ! [X1,X0] :
      ( ! [X2] : ~ path(X2,X1,X0)
    <=> ~ sP24(X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f272,plain,
    ( on_path(sK8,sK7)
    | ~ sP25(sK7) ),
    inference(resolution,[],[f179,f140]) ).

fof(f179,plain,
    ! [X3,X0,X4] :
      ( ~ precedes(X4,X3,X0)
      | on_path(X4,X0)
      | ~ sP25(X0) ),
    inference(general_splitting,[],[f177,f178_D]) ).

fof(f177,plain,
    ! [X3,X0,X1,X4] :
      ( on_path(X4,X0)
      | ~ precedes(X4,X3,X0)
      | ~ sP24(X0,X1) ),
    inference(general_splitting,[],[f127,f176_D]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1,X4] :
      ( on_path(X4,X0)
      | ~ precedes(X4,X3,X0)
      | ~ path(X2,X1,X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f385,plain,
    ( ~ sequential(sK6,sK8)
    | ~ on_path(sK8,sK7) ),
    inference(subsumption_resolution,[],[f384,f259]) ).

fof(f259,plain,
    sP33(sK7),
    inference(resolution,[],[f249,f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ sP32(X0,X1)
      | sP33(X1) ),
    inference(cnf_transformation,[],[f194_D]) ).

fof(f194_D,plain,
    ! [X1] :
      ( ! [X0] : ~ sP32(X0,X1)
    <=> ~ sP33(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f249,plain,
    sP32(sK9,sK7),
    inference(resolution,[],[f238,f192]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( ~ path(X0,X2,X1)
      | sP32(X0,X1) ),
    inference(cnf_transformation,[],[f192_D]) ).

fof(f192_D,plain,
    ! [X1,X0] :
      ( ! [X2] : ~ path(X0,X2,X1)
    <=> ~ sP32(X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).

fof(f384,plain,
    ( ~ sP33(sK7)
    | ~ on_path(sK8,sK7)
    | ~ sequential(sK6,sK8) ),
    inference(subsumption_resolution,[],[f383,f268]) ).

fof(f383,plain,
    ( ~ on_path(sK6,sK7)
    | ~ on_path(sK8,sK7)
    | ~ sP33(sK7)
    | ~ sequential(sK6,sK8) ),
    inference(resolution,[],[f195,f296]) ).

fof(f296,plain,
    ~ precedes(sK6,sK8,sK7),
    inference(subsumption_resolution,[],[f294,f235]) ).

fof(f235,plain,
    sP18(sK7),
    inference(resolution,[],[f234,f164]) ).

fof(f164,plain,
    ! [X3,X0] :
      ( ~ sP17(X0,X3)
      | sP18(X3) ),
    inference(cnf_transformation,[],[f164_D]) ).

fof(f164_D,plain,
    ! [X3] :
      ( ! [X0] : ~ sP17(X0,X3)
    <=> ~ sP18(X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f234,plain,
    sP17(sK10,sK7),
    inference(resolution,[],[f162,f143]) ).

fof(f162,plain,
    ! [X2,X3,X0] :
      ( ~ shortest_path(X2,X0,X3)
      | sP17(X0,X3) ),
    inference(cnf_transformation,[],[f162_D]) ).

fof(f162_D,plain,
    ! [X3,X0] :
      ( ! [X2] : ~ shortest_path(X2,X0,X3)
    <=> ~ sP17(X0,X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f294,plain,
    ( ~ sP18(sK7)
    | ~ precedes(sK6,sK8,sK7) ),
    inference(resolution,[],[f165,f140]) ).

fof(f165,plain,
    ! [X3,X1,X4] :
      ( ~ precedes(X4,X1,X3)
      | ~ precedes(X1,X4,X3)
      | ~ sP18(X3) ),
    inference(general_splitting,[],[f163,f164_D]) ).

fof(f163,plain,
    ! [X3,X0,X1,X4] :
      ( ~ precedes(X4,X1,X3)
      | ~ precedes(X1,X4,X3)
      | ~ sP17(X0,X3) ),
    inference(general_splitting,[],[f122,f162_D]) ).

fof(f122,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ precedes(X4,X1,X3)
      | ~ precedes(X1,X4,X3)
      | ~ shortest_path(X2,X0,X3) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f195,plain,
    ! [X3,X1,X4] :
      ( precedes(X3,X4,X1)
      | ~ sP33(X1)
      | ~ on_path(X4,X1)
      | ~ on_path(X3,X1)
      | ~ sequential(X3,X4) ),
    inference(general_splitting,[],[f193,f194_D]) ).

fof(f193,plain,
    ! [X3,X0,X1,X4] :
      ( ~ on_path(X3,X1)
      | ~ on_path(X4,X1)
      | ~ sequential(X3,X4)
      | precedes(X3,X4,X1)
      | ~ sP32(X0,X1) ),
    inference(general_splitting,[],[f132,f192_D]) ).

fof(f132,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ path(X0,X2,X1)
      | ~ on_path(X3,X1)
      | ~ on_path(X4,X1)
      | ~ sequential(X3,X4)
      | precedes(X3,X4,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ~ path(X0,X2,X1)
      | ! [X3,X4] :
          ( ~ on_path(X3,X1)
          | ~ on_path(X4,X1)
          | ( ~ sequential(X3,X4)
            & ! [X5] :
                ( ~ sequential(X3,X5)
                | ~ precedes(X5,X4,X1) ) )
          | precedes(X3,X4,X1) ) ),
    inference(rectify,[],[f59]) ).

fof(f59,plain,
    ! [X1,X2,X0] :
      ( ~ path(X1,X0,X2)
      | ! [X4,X3] :
          ( ~ on_path(X4,X2)
          | ~ on_path(X3,X2)
          | ( ~ sequential(X4,X3)
            & ! [X5] :
                ( ~ sequential(X4,X5)
                | ~ precedes(X5,X3,X2) ) )
          | precedes(X4,X3,X2) ) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X2,X1,X0] :
      ( ! [X4,X3] :
          ( precedes(X4,X3,X2)
          | ~ on_path(X4,X2)
          | ( ~ sequential(X4,X3)
            & ! [X5] :
                ( ~ sequential(X4,X5)
                | ~ precedes(X5,X3,X2) ) )
          | ~ on_path(X3,X2) )
      | ~ path(X1,X0,X2) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X2,X1,X0] :
      ( path(X1,X0,X2)
     => ! [X4,X3] :
          ( ( on_path(X4,X2)
            & ( sequential(X4,X3)
              | ? [X5] :
                  ( precedes(X5,X3,X2)
                  & sequential(X4,X5) ) )
            & on_path(X3,X2) )
         => precedes(X4,X3,X2) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X1,X3] :
      ( path(X1,X2,X3)
     => ! [X7,X6] :
          ( ( ( ? [X8] :
                  ( precedes(X8,X7,X3)
                  & sequential(X6,X8) )
              | sequential(X6,X7) )
            & on_path(X6,X3)
            & on_path(X7,X3) )
         => precedes(X6,X7,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',precedes_defn) ).

fof(f213,plain,
    ( tail_of(sK8) = head_of(sK6)
    | ~ spl39_2 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl39_2
  <=> tail_of(sK8) = head_of(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_2])]) ).

fof(f279,plain,
    spl39_5,
    inference(avatar_split_clause,[],[f278,f226]) ).

fof(f278,plain,
    edge(sK8),
    inference(subsumption_resolution,[],[f274,f242]) ).

fof(f274,plain,
    ( edge(sK8)
    | sP15(sK7) ),
    inference(resolution,[],[f273,f158]) ).

fof(f223,plain,
    ( spl39_4
    | spl39_3
    | spl39_2 ),
    inference(avatar_split_clause,[],[f141,f211,f215,f220]) ).

fof(f141,plain,
    ( tail_of(sK8) = head_of(sK6)
    | head_of(sK8) = head_of(sK6)
    | tail_of(sK11) = tail_of(sK8) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f218,plain,
    ( spl39_1
    | spl39_2
    | spl39_3 ),
    inference(avatar_split_clause,[],[f142,f215,f211,f207]) ).

fof(f142,plain,
    ( head_of(sK8) = head_of(sK6)
    | tail_of(sK8) = head_of(sK6)
    | head_of(sK11) = head_of(sK6) ),
    inference(cnf_transformation,[],[f92]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRA004+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:12:58 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (27002)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (27010)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49  % (26999)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.49  % (27022)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.50  % (27014)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51  % (27013)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51  % (27005)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  TRYING [1]
% 0.18/0.51  % (27004)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.51  TRYING [2]
% 0.18/0.51  % (27028)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.51  TRYING [3]
% 0.18/0.52  % (27029)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (27012)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52  % (27000)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (27023)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52  % (27003)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (27001)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (27007)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (27007)Instruction limit reached!
% 0.18/0.52  % (27007)------------------------------
% 0.18/0.52  % (27007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (27007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (27007)Termination reason: Unknown
% 0.18/0.52  % (27007)Termination phase: Preprocessing 3
% 0.18/0.52  
% 0.18/0.52  % (27007)Memory used [KB]: 895
% 0.18/0.52  % (27007)Time elapsed: 0.003 s
% 0.18/0.52  % (27007)Instructions burned: 2 (million)
% 0.18/0.52  % (27007)------------------------------
% 0.18/0.52  % (27007)------------------------------
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (27009)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (27006)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (27019)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (27004)First to succeed.
% 0.18/0.53  % (27015)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.53  % (27024)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53  % (27021)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (27020)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53  % (27000)Refutation not found, incomplete strategy% (27000)------------------------------
% 0.18/0.53  % (27000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (27018)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (27000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (27000)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (27000)Memory used [KB]: 5628
% 0.18/0.53  % (27000)Time elapsed: 0.139 s
% 0.18/0.53  % (27000)Instructions burned: 7 (million)
% 0.18/0.53  % (27000)------------------------------
% 0.18/0.53  % (27000)------------------------------
% 0.18/0.53  % (27030)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.53  % (27027)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (27016)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (27025)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54  % (27017)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.58/0.55  % (27006)Instruction limit reached!
% 1.58/0.55  % (27006)------------------------------
% 1.58/0.55  % (27006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (27006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (27006)Termination reason: Unknown
% 1.58/0.55  % (27006)Termination phase: Saturation
% 1.58/0.55  
% 1.58/0.55  % (27006)Memory used [KB]: 5628
% 1.58/0.55  % (27006)Time elapsed: 0.126 s
% 1.58/0.55  % (27006)Instructions burned: 7 (million)
% 1.58/0.55  % (27006)------------------------------
% 1.58/0.55  % (27006)------------------------------
% 1.58/0.55  % (27011)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.55  % (27005)Instruction limit reached!
% 1.58/0.55  % (27005)------------------------------
% 1.58/0.55  % (27005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (27005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (27005)Termination reason: Unknown
% 1.58/0.55  % (27005)Termination phase: Finite model building SAT solving
% 1.58/0.55  
% 1.58/0.55  % (27005)Memory used [KB]: 7675
% 1.58/0.55  % (27005)Time elapsed: 0.130 s
% 1.58/0.55  % (27005)Instructions burned: 51 (million)
% 1.58/0.55  % (27005)------------------------------
% 1.58/0.55  % (27005)------------------------------
% 1.58/0.55  TRYING [1]
% 1.58/0.55  TRYING [2]
% 1.58/0.55  % (27004)Refutation found. Thanks to Tanya!
% 1.58/0.55  % SZS status Theorem for theBenchmark
% 1.58/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.56  % (27004)------------------------------
% 1.58/0.56  % (27004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (27004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (27004)Termination reason: Refutation
% 1.58/0.56  
% 1.58/0.56  % (27004)Memory used [KB]: 5756
% 1.58/0.56  % (27004)Time elapsed: 0.144 s
% 1.58/0.56  % (27004)Instructions burned: 15 (million)
% 1.58/0.56  % (27004)------------------------------
% 1.58/0.56  % (27004)------------------------------
% 1.58/0.56  % (26997)Success in time 0.208 s
%------------------------------------------------------------------------------