TSTP Solution File: SEU240+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n001.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 18:32:46 EDT 2022

% Result   : Theorem 1.54s 0.57s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  120 (   8 unt;   0 def)
%            Number of atoms       :  490 (   6 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  620 ( 250   ~; 262   |;  74   &)
%                                         (  14 <=>;  18  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  260 ( 227   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f470,plain,
    $false,
    inference(avatar_sat_refutation,[],[f169,f180,f191,f202,f414,f460,f469]) ).

fof(f469,plain,
    ( spl13_3
    | ~ spl13_1 ),
    inference(avatar_split_clause,[],[f468,f162,f178]) ).

fof(f178,plain,
    ( spl13_3
  <=> ! [X6,X4,X5] :
        ( in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),sK1)
        | ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X4)),sK1)
        | ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f162,plain,
    ( spl13_1
  <=> transitive(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f468,plain,
    ( ! [X3,X4,X5] :
        ( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X4)),sK1)
        | in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),sK1)
        | ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X5)),sK1) )
    | ~ spl13_1 ),
    inference(subsumption_resolution,[],[f467,f335]) ).

fof(f335,plain,
    ! [X2,X3] :
      ( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X2)),sK1)
      | in(X2,relation_field(sK1)) ),
    inference(resolution,[],[f181,f118]) ).

fof(f118,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( relation(sK1)
    & ( ( in(ordered_pair(sK2,sK3),sK1)
        & ~ in(ordered_pair(sK4,sK3),sK1)
        & in(ordered_pair(sK4,sK2),sK1) )
      | ~ transitive(sK1) )
    & ( ! [X4,X5,X6] :
          ( ~ in(ordered_pair(X4,X5),sK1)
          | in(ordered_pair(X6,X5),sK1)
          | ~ in(ordered_pair(X6,X4),sK1) )
      | transitive(sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f80,f82,f81]) ).

fof(f81,plain,
    ( ? [X0] :
        ( relation(X0)
        & ( ? [X1,X2,X3] :
              ( in(ordered_pair(X1,X2),X0)
              & ~ in(ordered_pair(X3,X2),X0)
              & in(ordered_pair(X3,X1),X0) )
          | ~ transitive(X0) )
        & ( ! [X4,X5,X6] :
              ( ~ in(ordered_pair(X4,X5),X0)
              | in(ordered_pair(X6,X5),X0)
              | ~ in(ordered_pair(X6,X4),X0) )
          | transitive(X0) ) )
   => ( relation(sK1)
      & ( ? [X3,X2,X1] :
            ( in(ordered_pair(X1,X2),sK1)
            & ~ in(ordered_pair(X3,X2),sK1)
            & in(ordered_pair(X3,X1),sK1) )
        | ~ transitive(sK1) )
      & ( ! [X6,X5,X4] :
            ( ~ in(ordered_pair(X4,X5),sK1)
            | in(ordered_pair(X6,X5),sK1)
            | ~ in(ordered_pair(X6,X4),sK1) )
        | transitive(sK1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ( ? [X3,X2,X1] :
        ( in(ordered_pair(X1,X2),sK1)
        & ~ in(ordered_pair(X3,X2),sK1)
        & in(ordered_pair(X3,X1),sK1) )
   => ( in(ordered_pair(sK2,sK3),sK1)
      & ~ in(ordered_pair(sK4,sK3),sK1)
      & in(ordered_pair(sK4,sK2),sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ? [X0] :
      ( relation(X0)
      & ( ? [X1,X2,X3] :
            ( in(ordered_pair(X1,X2),X0)
            & ~ in(ordered_pair(X3,X2),X0)
            & in(ordered_pair(X3,X1),X0) )
        | ~ transitive(X0) )
      & ( ! [X4,X5,X6] :
            ( ~ in(ordered_pair(X4,X5),X0)
            | in(ordered_pair(X6,X5),X0)
            | ~ in(ordered_pair(X6,X4),X0) )
        | transitive(X0) ) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ? [X0] :
      ( relation(X0)
      & ( ? [X1,X3,X2] :
            ( in(ordered_pair(X1,X3),X0)
            & ~ in(ordered_pair(X2,X3),X0)
            & in(ordered_pair(X2,X1),X0) )
        | ~ transitive(X0) )
      & ( ! [X1,X3,X2] :
            ( ~ in(ordered_pair(X1,X3),X0)
            | in(ordered_pair(X2,X3),X0)
            | ~ in(ordered_pair(X2,X1),X0) )
        | transitive(X0) ) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ? [X0] :
      ( relation(X0)
      & ( ? [X1,X3,X2] :
            ( in(ordered_pair(X1,X3),X0)
            & ~ in(ordered_pair(X2,X3),X0)
            & in(ordered_pair(X2,X1),X0) )
        | ~ transitive(X0) )
      & ( ! [X1,X3,X2] :
            ( ~ in(ordered_pair(X1,X3),X0)
            | in(ordered_pair(X2,X3),X0)
            | ~ in(ordered_pair(X2,X1),X0) )
        | transitive(X0) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ? [X0] :
      ( relation(X0)
      & ( transitive(X0)
      <~> ! [X1,X3,X2] :
            ( ~ in(ordered_pair(X1,X3),X0)
            | in(ordered_pair(X2,X3),X0)
            | ~ in(ordered_pair(X2,X1),X0) ) ) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ? [X0] :
      ( ( ! [X3,X1,X2] :
            ( in(ordered_pair(X2,X3),X0)
            | ~ in(ordered_pair(X1,X3),X0)
            | ~ in(ordered_pair(X2,X1),X0) )
      <~> transitive(X0) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X0] :
        ( relation(X0)
       => ( ! [X3,X1,X2] :
              ( ( in(ordered_pair(X1,X3),X0)
                & in(ordered_pair(X2,X1),X0) )
             => in(ordered_pair(X2,X3),X0) )
        <=> transitive(X0) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( transitive(X0)
        <=> ! [X2,X1,X3] :
              ( ( in(ordered_pair(X1,X2),X0)
                & in(ordered_pair(X2,X3),X0) )
             => in(ordered_pair(X1,X3),X0) ) ) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( transitive(X0)
      <=> ! [X2,X1,X3] :
            ( ( in(ordered_pair(X1,X2),X0)
              & in(ordered_pair(X2,X3),X0) )
           => in(ordered_pair(X1,X3),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_wellord1) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X1)
      | in(X0,relation_field(X1))
      | ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X0)),X1) ),
    inference(forward_demodulation,[],[f155,f144]) ).

fof(f144,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),X1)
      | ~ relation(X1)
      | in(X0,relation_field(X1)) ),
    inference(definition_unfolding,[],[f121,f122]) ).

fof(f122,plain,
    ! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X2,X0),X1)
      | in(X0,relation_field(X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ~ in(ordered_pair(X2,X0),X1)
      | ( in(X0,relation_field(X1))
        & in(X2,relation_field(X1)) )
      | ~ relation(X1) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0,X2,X1] :
      ( ( in(X0,relation_field(X1))
        & in(X2,relation_field(X1)) )
      | ~ in(ordered_pair(X2,X0),X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X2,X1] :
      ( relation(X1)
     => ( in(ordered_pair(X2,X0),X1)
       => ( in(X0,relation_field(X1))
          & in(X2,relation_field(X1)) ) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X1,X2,X0] :
      ( relation(X2)
     => ( in(ordered_pair(X0,X1),X2)
       => ( in(X1,relation_field(X2))
          & in(X0,relation_field(X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).

fof(f467,plain,
    ( ! [X3,X4,X5] :
        ( in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),sK1)
        | ~ in(X4,relation_field(sK1))
        | ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X5)),sK1)
        | ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X4)),sK1) )
    | ~ spl13_1 ),
    inference(subsumption_resolution,[],[f466,f327]) ).

fof(f327,plain,
    ! [X2,X3] :
      ( ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),sK1)
      | in(X2,relation_field(sK1)) ),
    inference(resolution,[],[f170,f118]) ).

fof(f170,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X1)
      | in(X2,relation_field(X1))
      | ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X0)),X1) ),
    inference(backward_demodulation,[],[f156,f144]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X1)
      | in(X2,relation_field(X1))
      | ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),X1) ),
    inference(definition_unfolding,[],[f120,f122]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X2,X0),X1)
      | in(X2,relation_field(X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f466,plain,
    ( ! [X3,X4,X5] :
        ( ~ in(X3,relation_field(sK1))
        | in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),sK1)
        | ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X5)),sK1)
        | ~ in(X4,relation_field(sK1))
        | ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X4)),sK1) )
    | ~ spl13_1 ),
    inference(subsumption_resolution,[],[f465,f327]) ).

fof(f465,plain,
    ( ! [X3,X4,X5] :
        ( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X5)),sK1)
        | ~ in(X5,relation_field(sK1))
        | ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X4)),sK1)
        | ~ in(X3,relation_field(sK1))
        | ~ in(X4,relation_field(sK1))
        | in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),sK1) )
    | ~ spl13_1 ),
    inference(resolution,[],[f447,f461]) ).

fof(f461,plain,
    ( is_transitive_in(sK1,relation_field(sK1))
    | ~ spl13_1 ),
    inference(subsumption_resolution,[],[f423,f118]) ).

fof(f423,plain,
    ( is_transitive_in(sK1,relation_field(sK1))
    | ~ relation(sK1)
    | ~ spl13_1 ),
    inference(resolution,[],[f163,f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ transitive(X0)
      | is_transitive_in(X0,relation_field(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( ( is_transitive_in(X0,relation_field(X0))
          | ~ transitive(X0) )
        & ( transitive(X0)
          | ~ is_transitive_in(X0,relation_field(X0)) ) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( is_transitive_in(X0,relation_field(X0))
      <=> transitive(X0) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ( is_transitive_in(X0,relation_field(X0))
      <=> transitive(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_relat_2) ).

fof(f163,plain,
    ( transitive(sK1)
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f447,plain,
    ! [X6,X7,X4,X5] :
      ( ~ is_transitive_in(sK1,X5)
      | in(unordered_pair(singleton(X4),unordered_pair(X4,X6)),sK1)
      | ~ in(X4,X5)
      | ~ in(X7,X5)
      | ~ in(X6,X5)
      | ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X6)),sK1)
      | ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X7)),sK1) ),
    inference(resolution,[],[f184,f118]) ).

fof(f184,plain,
    ! [X0,X1,X6,X7,X5] :
      ( ~ relation(X0)
      | ~ in(X7,X1)
      | in(unordered_pair(singleton(X7),unordered_pair(X7,X5)),X0)
      | ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X6)),X0)
      | ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),X0)
      | ~ in(X5,X1)
      | ~ in(X6,X1)
      | ~ is_transitive_in(X0,X1) ),
    inference(forward_demodulation,[],[f183,f144]) ).

fof(f183,plain,
    ! [X0,X1,X6,X7,X5] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X6)),X0)
      | ~ in(X7,X1)
      | ~ in(X6,X1)
      | ~ is_transitive_in(X0,X1)
      | ~ in(X5,X1)
      | in(unordered_pair(unordered_pair(X7,X5),singleton(X7)),X0)
      | ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),X0) ),
    inference(forward_demodulation,[],[f182,f144]) ).

fof(f182,plain,
    ! [X0,X1,X6,X7,X5] :
      ( ~ in(unordered_pair(unordered_pair(X7,X6),singleton(X7)),X0)
      | ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),X0)
      | ~ in(X7,X1)
      | ~ in(X5,X1)
      | ~ is_transitive_in(X0,X1)
      | in(unordered_pair(unordered_pair(X7,X5),singleton(X7)),X0)
      | ~ relation(X0)
      | ~ in(X6,X1) ),
    inference(forward_demodulation,[],[f160,f144]) ).

fof(f160,plain,
    ! [X0,X1,X6,X7,X5] :
      ( ~ relation(X0)
      | ~ in(X5,X1)
      | ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
      | ~ in(X6,X1)
      | ~ in(unordered_pair(unordered_pair(X7,X6),singleton(X7)),X0)
      | ~ is_transitive_in(X0,X1)
      | in(unordered_pair(unordered_pair(X7,X5),singleton(X7)),X0)
      | ~ in(X7,X1) ),
    inference(definition_unfolding,[],[f132,f122,f122,f122]) ).

fof(f132,plain,
    ! [X0,X1,X6,X7,X5] :
      ( ~ in(ordered_pair(X6,X5),X0)
      | ~ in(X5,X1)
      | ~ in(ordered_pair(X7,X6),X0)
      | ~ in(X6,X1)
      | in(ordered_pair(X7,X5),X0)
      | ~ in(X7,X1)
      | ~ is_transitive_in(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( is_transitive_in(X0,X1)
            | ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
              & in(sK6(X0,X1),X1)
              & in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
              & in(sK7(X0,X1),X1)
              & ~ in(ordered_pair(sK8(X0,X1),sK6(X0,X1)),X0)
              & in(sK8(X0,X1),X1) ) )
          & ( ! [X5,X6,X7] :
                ( ~ in(ordered_pair(X6,X5),X0)
                | ~ in(X5,X1)
                | ~ in(ordered_pair(X7,X6),X0)
                | ~ in(X6,X1)
                | in(ordered_pair(X7,X5),X0)
                | ~ in(X7,X1) )
            | ~ is_transitive_in(X0,X1) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f93,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( in(ordered_pair(X3,X2),X0)
          & in(X2,X1)
          & in(ordered_pair(X4,X3),X0)
          & in(X3,X1)
          & ~ in(ordered_pair(X4,X2),X0)
          & in(X4,X1) )
     => ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
        & in(sK6(X0,X1),X1)
        & in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
        & in(sK7(X0,X1),X1)
        & ~ in(ordered_pair(sK8(X0,X1),sK6(X0,X1)),X0)
        & in(sK8(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( is_transitive_in(X0,X1)
            | ? [X2,X3,X4] :
                ( in(ordered_pair(X3,X2),X0)
                & in(X2,X1)
                & in(ordered_pair(X4,X3),X0)
                & in(X3,X1)
                & ~ in(ordered_pair(X4,X2),X0)
                & in(X4,X1) ) )
          & ( ! [X5,X6,X7] :
                ( ~ in(ordered_pair(X6,X5),X0)
                | ~ in(X5,X1)
                | ~ in(ordered_pair(X7,X6),X0)
                | ~ in(X6,X1)
                | in(ordered_pair(X7,X5),X0)
                | ~ in(X7,X1) )
            | ~ is_transitive_in(X0,X1) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( is_transitive_in(X0,X1)
            | ? [X3,X4,X2] :
                ( in(ordered_pair(X4,X3),X0)
                & in(X3,X1)
                & in(ordered_pair(X2,X4),X0)
                & in(X4,X1)
                & ~ in(ordered_pair(X2,X3),X0)
                & in(X2,X1) ) )
          & ( ! [X3,X4,X2] :
                ( ~ in(ordered_pair(X4,X3),X0)
                | ~ in(X3,X1)
                | ~ in(ordered_pair(X2,X4),X0)
                | ~ in(X4,X1)
                | in(ordered_pair(X2,X3),X0)
                | ~ in(X2,X1) )
            | ~ is_transitive_in(X0,X1) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X3,X4,X2] :
              ( ~ in(ordered_pair(X4,X3),X0)
              | ~ in(X3,X1)
              | ~ in(ordered_pair(X2,X4),X0)
              | ~ in(X4,X1)
              | in(ordered_pair(X2,X3),X0)
              | ~ in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X3,X4,X2] :
              ( in(ordered_pair(X2,X3),X0)
              | ~ in(X2,X1)
              | ~ in(X3,X1)
              | ~ in(ordered_pair(X4,X3),X0)
              | ~ in(ordered_pair(X2,X4),X0)
              | ~ in(X4,X1) )
        <=> is_transitive_in(X0,X1) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X3,X4,X2] :
              ( ( in(X2,X1)
                & in(X3,X1)
                & in(ordered_pair(X4,X3),X0)
                & in(ordered_pair(X2,X4),X0)
                & in(X4,X1) )
             => in(ordered_pair(X2,X3),X0) )
        <=> is_transitive_in(X0,X1) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X2,X4,X3] :
              ( ( in(X4,X1)
                & in(ordered_pair(X3,X4),X0)
                & in(X2,X1)
                & in(X3,X1)
                & in(ordered_pair(X2,X3),X0) )
             => in(ordered_pair(X2,X4),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).

fof(f460,plain,
    ( ~ spl13_2
    | ~ spl13_3
    | spl13_4
    | ~ spl13_5 ),
    inference(avatar_contradiction_clause,[],[f459]) ).

fof(f459,plain,
    ( $false
    | ~ spl13_2
    | ~ spl13_3
    | spl13_4
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f458,f190]) ).

fof(f190,plain,
    ( ~ in(unordered_pair(singleton(sK4),unordered_pair(sK3,sK4)),sK1)
    | spl13_4 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f188,plain,
    ( spl13_4
  <=> in(unordered_pair(singleton(sK4),unordered_pair(sK3,sK4)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f458,plain,
    ( in(unordered_pair(singleton(sK4),unordered_pair(sK3,sK4)),sK1)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5 ),
    inference(forward_demodulation,[],[f455,f144]) ).

fof(f455,plain,
    ( in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK3)),sK1)
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_5 ),
    inference(resolution,[],[f452,f201]) ).

fof(f201,plain,
    ( in(unordered_pair(singleton(sK4),unordered_pair(sK2,sK4)),sK1)
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f199,plain,
    ( spl13_5
  <=> in(unordered_pair(singleton(sK4),unordered_pair(sK2,sK4)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f452,plain,
    ( ! [X1] :
        ( ~ in(unordered_pair(singleton(X1),unordered_pair(sK2,X1)),sK1)
        | in(unordered_pair(singleton(X1),unordered_pair(X1,sK3)),sK1) )
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(superposition,[],[f439,f144]) ).

fof(f439,plain,
    ( ! [X1] :
        ( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,sK2)),sK1)
        | in(unordered_pair(singleton(X1),unordered_pair(X1,sK3)),sK1) )
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(resolution,[],[f415,f179]) ).

fof(f179,plain,
    ( ! [X6,X4,X5] :
        ( ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),sK1)
        | in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),sK1)
        | ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X4)),sK1) )
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f415,plain,
    ( in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),sK1)
    | ~ spl13_2 ),
    inference(forward_demodulation,[],[f168,f144]) ).

fof(f168,plain,
    ( in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),sK1)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl13_2
  <=> in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f414,plain,
    ( spl13_1
    | ~ spl13_3 ),
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f413,plain,
    ( $false
    | spl13_1
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f412,f164]) ).

fof(f164,plain,
    ( ~ transitive(sK1)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f412,plain,
    ( transitive(sK1)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f411,f118]) ).

fof(f411,plain,
    ( ~ relation(sK1)
    | transitive(sK1)
    | ~ spl13_3 ),
    inference(resolution,[],[f410,f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ is_transitive_in(X0,relation_field(X0))
      | ~ relation(X0)
      | transitive(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f410,plain,
    ( ! [X0] : is_transitive_in(sK1,X0)
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f409,f388]) ).

fof(f388,plain,
    ! [X1] :
      ( ~ in(unordered_pair(singleton(sK8(sK1,X1)),unordered_pair(sK6(sK1,X1),sK8(sK1,X1))),sK1)
      | is_transitive_in(sK1,X1) ),
    inference(resolution,[],[f193,f118]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(singleton(sK8(X0,X1)),unordered_pair(sK6(X0,X1),sK8(X0,X1))),X0)
      | is_transitive_in(X0,X1) ),
    inference(forward_demodulation,[],[f192,f144]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(sK8(X0,X1)),unordered_pair(sK8(X0,X1),sK6(X0,X1))),X0)
      | ~ relation(X0)
      | is_transitive_in(X0,X1) ),
    inference(forward_demodulation,[],[f159,f144]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | is_transitive_in(X0,X1)
      | ~ in(unordered_pair(unordered_pair(sK8(X0,X1),sK6(X0,X1)),singleton(sK8(X0,X1))),X0) ),
    inference(definition_unfolding,[],[f134,f122]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( is_transitive_in(X0,X1)
      | ~ in(ordered_pair(sK8(X0,X1),sK6(X0,X1)),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f409,plain,
    ( ! [X0] :
        ( in(unordered_pair(singleton(sK8(sK1,X0)),unordered_pair(sK6(sK1,X0),sK8(sK1,X0))),sK1)
        | is_transitive_in(sK1,X0) )
    | ~ spl13_3 ),
    inference(forward_demodulation,[],[f408,f144]) ).

fof(f408,plain,
    ( ! [X0] :
        ( is_transitive_in(sK1,X0)
        | in(unordered_pair(singleton(sK8(sK1,X0)),unordered_pair(sK8(sK1,X0),sK6(sK1,X0))),sK1) )
    | ~ spl13_3 ),
    inference(duplicate_literal_removal,[],[f401]) ).

fof(f401,plain,
    ( ! [X0] :
        ( is_transitive_in(sK1,X0)
        | in(unordered_pair(singleton(sK8(sK1,X0)),unordered_pair(sK8(sK1,X0),sK6(sK1,X0))),sK1)
        | is_transitive_in(sK1,X0) )
    | ~ spl13_3 ),
    inference(resolution,[],[f398,f369]) ).

fof(f369,plain,
    ( ! [X4,X5] :
        ( ~ in(unordered_pair(singleton(X5),unordered_pair(sK7(sK1,X4),X5)),sK1)
        | is_transitive_in(sK1,X4)
        | in(unordered_pair(singleton(X5),unordered_pair(X5,sK6(sK1,X4))),sK1) )
    | ~ spl13_3 ),
    inference(resolution,[],[f359,f240]) ).

fof(f240,plain,
    ( ! [X2,X0,X1] :
        ( ~ in(unordered_pair(singleton(X1),unordered_pair(X2,X1)),sK1)
        | ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),sK1)
        | in(unordered_pair(singleton(X0),unordered_pair(X0,X2)),sK1) )
    | ~ spl13_3 ),
    inference(superposition,[],[f236,f144]) ).

fof(f236,plain,
    ( ! [X2,X0,X1] :
        ( ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X0)),sK1)
        | in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),sK1)
        | ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),sK1) )
    | ~ spl13_3 ),
    inference(superposition,[],[f179,f144]) ).

fof(f359,plain,
    ! [X1] :
      ( in(unordered_pair(singleton(sK7(sK1,X1)),unordered_pair(sK6(sK1,X1),sK7(sK1,X1))),sK1)
      | is_transitive_in(sK1,X1) ),
    inference(resolution,[],[f173,f118]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(singleton(sK7(X0,X1)),unordered_pair(sK6(X0,X1),sK7(X0,X1))),X0)
      | is_transitive_in(X0,X1) ),
    inference(forward_demodulation,[],[f172,f144]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | is_transitive_in(X0,X1)
      | in(unordered_pair(singleton(sK7(X0,X1)),unordered_pair(sK7(X0,X1),sK6(X0,X1))),X0) ),
    inference(backward_demodulation,[],[f157,f144]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( in(unordered_pair(unordered_pair(sK7(X0,X1),sK6(X0,X1)),singleton(sK7(X0,X1))),X0)
      | ~ relation(X0)
      | is_transitive_in(X0,X1) ),
    inference(definition_unfolding,[],[f138,f122]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( is_transitive_in(X0,X1)
      | in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f398,plain,
    ! [X1] :
      ( in(unordered_pair(singleton(sK8(sK1,X1)),unordered_pair(sK7(sK1,X1),sK8(sK1,X1))),sK1)
      | is_transitive_in(sK1,X1) ),
    inference(resolution,[],[f195,f118]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(singleton(sK8(X0,X1)),unordered_pair(sK7(X0,X1),sK8(X0,X1))),X0)
      | is_transitive_in(X0,X1) ),
    inference(forward_demodulation,[],[f194,f144]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( is_transitive_in(X0,X1)
      | ~ relation(X0)
      | in(unordered_pair(singleton(sK8(X0,X1)),unordered_pair(sK8(X0,X1),sK7(X0,X1))),X0) ),
    inference(forward_demodulation,[],[f158,f144]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( is_transitive_in(X0,X1)
      | in(unordered_pair(unordered_pair(sK8(X0,X1),sK7(X0,X1)),singleton(sK8(X0,X1))),X0)
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f136,f122]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( is_transitive_in(X0,X1)
      | in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f202,plain,
    ( ~ spl13_1
    | spl13_5 ),
    inference(avatar_split_clause,[],[f197,f199,f162]) ).

fof(f197,plain,
    ( in(unordered_pair(singleton(sK4),unordered_pair(sK2,sK4)),sK1)
    | ~ transitive(sK1) ),
    inference(forward_demodulation,[],[f196,f144]) ).

fof(f196,plain,
    ( in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),sK1)
    | ~ transitive(sK1) ),
    inference(forward_demodulation,[],[f153,f144]) ).

fof(f153,plain,
    ( in(unordered_pair(unordered_pair(sK4,sK2),singleton(sK4)),sK1)
    | ~ transitive(sK1) ),
    inference(definition_unfolding,[],[f115,f122]) ).

fof(f115,plain,
    ( in(ordered_pair(sK4,sK2),sK1)
    | ~ transitive(sK1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f191,plain,
    ( ~ spl13_4
    | ~ spl13_1 ),
    inference(avatar_split_clause,[],[f186,f162,f188]) ).

fof(f186,plain,
    ( ~ transitive(sK1)
    | ~ in(unordered_pair(singleton(sK4),unordered_pair(sK3,sK4)),sK1) ),
    inference(forward_demodulation,[],[f185,f144]) ).

fof(f185,plain,
    ( ~ in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK3)),sK1)
    | ~ transitive(sK1) ),
    inference(forward_demodulation,[],[f152,f144]) ).

fof(f152,plain,
    ( ~ in(unordered_pair(unordered_pair(sK4,sK3),singleton(sK4)),sK1)
    | ~ transitive(sK1) ),
    inference(definition_unfolding,[],[f116,f122]) ).

fof(f116,plain,
    ( ~ in(ordered_pair(sK4,sK3),sK1)
    | ~ transitive(sK1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f180,plain,
    ( spl13_1
    | spl13_3 ),
    inference(avatar_split_clause,[],[f176,f178,f162]) ).

fof(f176,plain,
    ! [X6,X4,X5] :
      ( in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),sK1)
      | ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),sK1)
      | transitive(sK1)
      | ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X4)),sK1) ),
    inference(forward_demodulation,[],[f175,f144]) ).

fof(f175,plain,
    ! [X6,X4,X5] :
      ( ~ in(unordered_pair(unordered_pair(X6,X4),singleton(X6)),sK1)
      | ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),sK1)
      | in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),sK1)
      | transitive(sK1) ),
    inference(forward_demodulation,[],[f174,f144]) ).

fof(f174,plain,
    ! [X6,X4,X5] :
      ( transitive(sK1)
      | ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),sK1)
      | in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),sK1)
      | ~ in(unordered_pair(unordered_pair(X6,X4),singleton(X6)),sK1) ),
    inference(forward_demodulation,[],[f154,f144]) ).

fof(f154,plain,
    ! [X6,X4,X5] :
      ( transitive(sK1)
      | in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),sK1)
      | ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),sK1)
      | ~ in(unordered_pair(unordered_pair(X6,X4),singleton(X6)),sK1) ),
    inference(definition_unfolding,[],[f114,f122,f122,f122]) ).

fof(f114,plain,
    ! [X6,X4,X5] :
      ( ~ in(ordered_pair(X4,X5),sK1)
      | in(ordered_pair(X6,X5),sK1)
      | ~ in(ordered_pair(X6,X4),sK1)
      | transitive(sK1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f169,plain,
    ( ~ spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f151,f166,f162]) ).

fof(f151,plain,
    ( in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),sK1)
    | ~ transitive(sK1) ),
    inference(definition_unfolding,[],[f117,f122]) ).

fof(f117,plain,
    ( in(ordered_pair(sK2,sK3),sK1)
    | ~ transitive(sK1) ),
    inference(cnf_transformation,[],[f83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 15:17:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (4678)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)
% 0.19/0.50  % (4686)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)
% 0.19/0.51  % (4693)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (4684)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)
% 0.19/0.51  % (4685)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (4679)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (4674)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.53  % (4704)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)
% 0.19/0.53  % (4687)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (4677)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)
% 0.19/0.53  % (4676)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)
% 0.19/0.53  % (4697)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)
% 0.19/0.53  % (4698)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)
% 0.19/0.53  % (4696)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (4680)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)
% 0.19/0.53  % (4699)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (4703)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (4683)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (4683)Instruction limit reached!
% 0.19/0.54  % (4683)------------------------------
% 0.19/0.54  % (4683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4683)Termination reason: Unknown
% 0.19/0.54  % (4683)Termination phase: Preprocessing 2
% 0.19/0.54  
% 0.19/0.54  % (4683)Memory used [KB]: 895
% 0.19/0.54  % (4683)Time elapsed: 0.002 s
% 0.19/0.54  % (4683)Instructions burned: 2 (million)
% 0.19/0.54  % (4683)------------------------------
% 0.19/0.54  % (4683)------------------------------
% 0.19/0.54  % (4676)Refutation not found, incomplete strategy% (4676)------------------------------
% 0.19/0.54  % (4676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4676)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (4676)Memory used [KB]: 5628
% 0.19/0.54  % (4676)Time elapsed: 0.126 s
% 0.19/0.54  % (4676)Instructions burned: 8 (million)
% 0.19/0.54  % (4676)------------------------------
% 0.19/0.54  % (4676)------------------------------
% 0.19/0.54  % (4690)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)
% 0.19/0.54  % (4682)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (4688)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (4694)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)
% 0.19/0.54  % (4681)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)
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (4695)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)
% 0.19/0.54  % (4702)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)
% 0.19/0.55  TRYING [3]
% 0.19/0.55  TRYING [1]
% 0.19/0.55  % (4691)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)
% 0.19/0.55  % (4689)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)
% 0.19/0.55  TRYING [2]
% 1.54/0.55  TRYING [3]
% 1.54/0.55  % (4682)Instruction limit reached!
% 1.54/0.55  % (4682)------------------------------
% 1.54/0.55  % (4682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (4682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (4682)Termination reason: Unknown
% 1.54/0.55  % (4682)Termination phase: Saturation
% 1.54/0.55  
% 1.54/0.55  % (4682)Memory used [KB]: 5500
% 1.54/0.55  % (4682)Time elapsed: 0.103 s
% 1.54/0.55  % (4682)Instructions burned: 7 (million)
% 1.54/0.55  % (4682)------------------------------
% 1.54/0.55  % (4682)------------------------------
% 1.54/0.55  % (4701)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)
% 1.54/0.56  % (4692)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.54/0.56  % (4700)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.54/0.57  % (4698)First to succeed.
% 1.54/0.57  % (4698)Refutation found. Thanks to Tanya!
% 1.54/0.57  % SZS status Theorem for theBenchmark
% 1.54/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.57  % (4698)------------------------------
% 1.72/0.57  % (4698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.57  % (4698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.57  % (4698)Termination reason: Refutation
% 1.72/0.57  
% 1.72/0.57  % (4698)Memory used [KB]: 5756
% 1.72/0.57  % (4698)Time elapsed: 0.142 s
% 1.72/0.57  % (4698)Instructions burned: 20 (million)
% 1.72/0.57  % (4698)------------------------------
% 1.72/0.57  % (4698)------------------------------
% 1.72/0.57  % (4673)Success in time 0.221 s
%------------------------------------------------------------------------------