TSTP Solution File: SEU207+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU207+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_uns --cores 0 -t %d %s

% Computer : n008.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 18:27:24 EDT 2022

% Result   : Theorem 2.55s 0.73s
% Output   : Refutation 2.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  114 (  10 unt;   0 def)
%            Number of atoms       :  537 (  54 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  728 ( 305   ~; 308   |;  73   &)
%                                         (  18 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   2 con; 0-4 aty)
%            Number of variables   :  331 ( 282   !;  49   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f700,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f613,f623,f699]) ).

fof(f699,plain,
    ( spl19_5
    | ~ spl19_6
    | ~ spl19_10 ),
    inference(avatar_contradiction_clause,[],[f698]) ).

fof(f698,plain,
    ( $false
    | spl19_5
    | ~ spl19_6
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f697,f153]) ).

fof(f153,plain,
    relation(sK13),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( relation(sK14)
    & relation_image(sK14,relation_rng(sK13)) != relation_rng(relation_composition(sK13,sK14))
    & relation(sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f45,f101,f100]) ).

fof(f100,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( relation(X1)
            & relation_rng(relation_composition(X0,X1)) != relation_image(X1,relation_rng(X0)) )
        & relation(X0) )
   => ( ? [X1] :
          ( relation(X1)
          & relation_rng(relation_composition(sK13,X1)) != relation_image(X1,relation_rng(sK13)) )
      & relation(sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ( ? [X1] :
        ( relation(X1)
        & relation_rng(relation_composition(sK13,X1)) != relation_image(X1,relation_rng(sK13)) )
   => ( relation(sK14)
      & relation_image(sK14,relation_rng(sK13)) != relation_rng(relation_composition(sK13,sK14)) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0] :
      ( ? [X1] :
          ( relation(X1)
          & relation_rng(relation_composition(X0,X1)) != relation_image(X1,relation_rng(X0)) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ! [X1] :
            ( relation(X1)
           => relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0)) ) ),
    inference(negated_conjecture,[],[f30]) ).

fof(f30,conjecture,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t160_relat_1) ).

fof(f697,plain,
    ( ~ relation(sK13)
    | spl19_5
    | ~ spl19_6
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f691,f248]) ).

fof(f248,plain,
    ( in(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(sK13))
    | ~ spl19_6 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl19_6
  <=> in(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(sK13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).

fof(f691,plain,
    ( ~ in(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(sK13))
    | ~ relation(sK13)
    | spl19_5
    | ~ spl19_10 ),
    inference(resolution,[],[f688,f243]) ).

fof(f243,plain,
    ( ~ in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14)))
    | spl19_5 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl19_5
  <=> in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).

fof(f688,plain,
    ( ! [X38] :
        ( in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(X38,sK14)))
        | ~ relation(X38)
        | ~ in(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(X38)) )
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f682,f155]) ).

fof(f155,plain,
    relation(sK14),
    inference(cnf_transformation,[],[f102]) ).

fof(f682,plain,
    ( ! [X38] :
        ( in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(X38,sK14)))
        | ~ relation(sK14)
        | ~ in(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(X38))
        | ~ relation(X38) )
    | ~ spl19_10 ),
    inference(resolution,[],[f410,f622]) ).

fof(f622,plain,
    ( in(unordered_pair(unordered_pair(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))))),sK14)
    | ~ spl19_10 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl19_10
  <=> in(unordered_pair(unordered_pair(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))))),sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).

fof(f410,plain,
    ! [X31,X34,X32,X33] :
      ( ~ in(unordered_pair(unordered_pair(X32,X34),singleton(X32)),X33)
      | ~ relation(X31)
      | ~ relation(X33)
      | in(X34,relation_rng(relation_composition(X31,X33)))
      | ~ in(X32,relation_rng(X31)) ),
    inference(subsumption_resolution,[],[f399,f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X1,X0))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_composition(X1,X0))
      | ~ relation(X1) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ! [X1,X0] :
      ( ~ relation(X1)
      | relation(relation_composition(X0,X1))
      | ~ relation(X0) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X1,X0] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X0] :
      ( ( relation(X1)
        & relation(X0) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).

fof(f399,plain,
    ! [X31,X34,X32,X33] :
      ( in(X34,relation_rng(relation_composition(X31,X33)))
      | ~ relation(relation_composition(X31,X33))
      | ~ in(unordered_pair(unordered_pair(X32,X34),singleton(X32)),X33)
      | ~ in(X32,relation_rng(X31))
      | ~ relation(X31)
      | ~ relation(X33) ),
    inference(resolution,[],[f295,f182]) ).

fof(f182,plain,
    ! [X2,X0,X4] :
      ( ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
      | ~ relation(X0)
      | in(X2,relation_rng(X0)) ),
    inference(equality_resolution,[],[f171]) ).

fof(f171,plain,
    ! [X2,X0,X1,X4] :
      ( ~ relation(X0)
      | in(X2,X1)
      | ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
      | relation_rng(X0) != X1 ),
    inference(definition_unfolding,[],[f130,f150]) ).

fof(f150,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ! [X1,X0] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(rectify,[],[f6]) ).

fof(f6,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(f130,plain,
    ! [X2,X0,X1,X4] :
      ( ~ relation(X0)
      | in(X2,X1)
      | ~ in(ordered_pair(X4,X2),X0)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(ordered_pair(sK7(X0,X2),X2),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] : ~ in(ordered_pair(X4,X2),X0) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ( ( ~ in(sK8(X0,X1),X1)
                | ! [X6] : ~ in(ordered_pair(X6,sK8(X0,X1)),X0) )
              & ( in(sK8(X0,X1),X1)
                | in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f82,f85,f84,f83]) ).

fof(f83,plain,
    ! [X0,X2] :
      ( ? [X3] : in(ordered_pair(X3,X2),X0)
     => in(ordered_pair(sK7(X0,X2),X2),X0) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ~ in(X5,X1)
            | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
          & ( in(X5,X1)
            | ? [X7] : in(ordered_pair(X7,X5),X0) ) )
     => ( ( ~ in(sK8(X0,X1),X1)
          | ! [X6] : ~ in(ordered_pair(X6,sK8(X0,X1)),X0) )
        & ( in(sK8(X0,X1),X1)
          | ? [X7] : in(ordered_pair(X7,sK8(X0,X1)),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ? [X7] : in(ordered_pair(X7,sK8(X0,X1)),X0)
     => in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] : ~ in(ordered_pair(X4,X2),X0) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X5] :
                ( ( ~ in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(X5,X1)
                  | ? [X7] : in(ordered_pair(X7,X5),X0) ) ) ) ) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( in(X2,X1)
                  | ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ? [X3] : in(ordered_pair(X3,X2),X0)
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X2] :
              ( ? [X3] : in(ordered_pair(X3,X2),X0)
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f295,plain,
    ! [X2,X3,X0,X1] :
      ( in(unordered_pair(unordered_pair(sK7(X0,X1),X2),singleton(sK7(X0,X1))),relation_composition(X0,X3))
      | ~ relation(X0)
      | ~ in(X1,relation_rng(X0))
      | ~ relation(X3)
      | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X3)
      | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
      | ~ in(X1,relation_rng(X0))
      | in(unordered_pair(unordered_pair(sK7(X0,X1),X2),singleton(sK7(X0,X1))),relation_composition(X0,X3))
      | ~ relation(X0)
      | ~ relation(X0) ),
    inference(resolution,[],[f284,f181]) ).

fof(f181,plain,
    ! [X2,X0] :
      ( in(unordered_pair(unordered_pair(sK7(X0,X2),X2),singleton(sK7(X0,X2))),X0)
      | ~ relation(X0)
      | ~ in(X2,relation_rng(X0)) ),
    inference(equality_resolution,[],[f170]) ).

fof(f170,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(sK7(X0,X2),X2),singleton(sK7(X0,X2))),X0)
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(definition_unfolding,[],[f131,f150]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(ordered_pair(sK7(X0,X2),X2),X0)
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f284,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ in(unordered_pair(unordered_pair(X3,X5),singleton(X3)),X0)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1))
      | ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X1)
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(subsumption_resolution,[],[f175,f138]) ).

fof(f175,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ in(unordered_pair(unordered_pair(X3,X5),singleton(X3)),X0)
      | ~ relation(X0)
      | ~ relation(X1)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1))
      | ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X1)
      | ~ relation(relation_composition(X0,X1)) ),
    inference(equality_resolution,[],[f160]) ).

fof(f160,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X1)
      | ~ in(unordered_pair(unordered_pair(X3,X5),singleton(X3)),X0)
      | relation_composition(X0,X1) != X2
      | ~ relation(X1) ),
    inference(definition_unfolding,[],[f114,f150,f150,f150]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(ordered_pair(X3,X4),X2)
      | ~ in(ordered_pair(X5,X4),X1)
      | ~ in(ordered_pair(X3,X5),X0)
      | relation_composition(X0,X1) != X2
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ relation(X2)
              | ( ( ! [X3,X4] :
                      ( ( in(ordered_pair(X3,X4),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) ) )
                      & ( ( in(ordered_pair(sK0(X0,X1,X3,X4),X4),X1)
                          & in(ordered_pair(X3,sK0(X0,X1,X3,X4)),X0) )
                        | ~ in(ordered_pair(X3,X4),X2) ) )
                  | relation_composition(X0,X1) != X2 )
                & ( relation_composition(X0,X1) = X2
                  | ( ( ! [X9] :
                          ( ~ in(ordered_pair(X9,sK2(X0,X1,X2)),X1)
                          | ~ in(ordered_pair(sK1(X0,X1,X2),X9),X0) )
                      | ~ in(ordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2)),X2) )
                    & ( ( in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X1)
                        & in(ordered_pair(sK1(X0,X1,X2),sK3(X0,X1,X2)),X0) )
                      | in(ordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2)),X2) ) ) ) ) )
          | ~ relation(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f68,f71,f70,f69]) ).

fof(f69,plain,
    ! [X0,X1,X3,X4] :
      ( ? [X6] :
          ( in(ordered_pair(X6,X4),X1)
          & in(ordered_pair(X3,X6),X0) )
     => ( in(ordered_pair(sK0(X0,X1,X3,X4),X4),X1)
        & in(ordered_pair(X3,sK0(X0,X1,X3,X4)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X8] :
          ( ( ! [X9] :
                ( ~ in(ordered_pair(X9,X8),X1)
                | ~ in(ordered_pair(X7,X9),X0) )
            | ~ in(ordered_pair(X7,X8),X2) )
          & ( ? [X10] :
                ( in(ordered_pair(X10,X8),X1)
                & in(ordered_pair(X7,X10),X0) )
            | in(ordered_pair(X7,X8),X2) ) )
     => ( ( ! [X9] :
              ( ~ in(ordered_pair(X9,sK2(X0,X1,X2)),X1)
              | ~ in(ordered_pair(sK1(X0,X1,X2),X9),X0) )
          | ~ in(ordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2)),X2) )
        & ( ? [X10] :
              ( in(ordered_pair(X10,sK2(X0,X1,X2)),X1)
              & in(ordered_pair(sK1(X0,X1,X2),X10),X0) )
          | in(ordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2)),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ? [X10] :
          ( in(ordered_pair(X10,sK2(X0,X1,X2)),X1)
          & in(ordered_pair(sK1(X0,X1,X2),X10),X0) )
     => ( in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X1)
        & in(ordered_pair(sK1(X0,X1,X2),sK3(X0,X1,X2)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ relation(X2)
              | ( ( ! [X3,X4] :
                      ( ( in(ordered_pair(X3,X4),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) ) )
                      & ( ? [X6] :
                            ( in(ordered_pair(X6,X4),X1)
                            & in(ordered_pair(X3,X6),X0) )
                        | ~ in(ordered_pair(X3,X4),X2) ) )
                  | relation_composition(X0,X1) != X2 )
                & ( relation_composition(X0,X1) = X2
                  | ? [X7,X8] :
                      ( ( ! [X9] :
                            ( ~ in(ordered_pair(X9,X8),X1)
                            | ~ in(ordered_pair(X7,X9),X0) )
                        | ~ in(ordered_pair(X7,X8),X2) )
                      & ( ? [X10] :
                            ( in(ordered_pair(X10,X8),X1)
                            & in(ordered_pair(X7,X10),X0) )
                        | in(ordered_pair(X7,X8),X2) ) ) ) ) )
          | ~ relation(X1) ) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ relation(X2)
              | ( ( ! [X4,X3] :
                      ( ( in(ordered_pair(X4,X3),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X3),X1)
                            | ~ in(ordered_pair(X4,X5),X0) ) )
                      & ( ? [X5] :
                            ( in(ordered_pair(X5,X3),X1)
                            & in(ordered_pair(X4,X5),X0) )
                        | ~ in(ordered_pair(X4,X3),X2) ) )
                  | relation_composition(X0,X1) != X2 )
                & ( relation_composition(X0,X1) = X2
                  | ? [X4,X3] :
                      ( ( ! [X5] :
                            ( ~ in(ordered_pair(X5,X3),X1)
                            | ~ in(ordered_pair(X4,X5),X0) )
                        | ~ in(ordered_pair(X4,X3),X2) )
                      & ( ? [X5] :
                            ( in(ordered_pair(X5,X3),X1)
                            & in(ordered_pair(X4,X5),X0) )
                        | in(ordered_pair(X4,X3),X2) ) ) ) ) )
          | ~ relation(X1) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ relation(X2)
              | ( ! [X4,X3] :
                    ( in(ordered_pair(X4,X3),X2)
                  <=> ? [X5] :
                        ( in(ordered_pair(X5,X3),X1)
                        & in(ordered_pair(X4,X5),X0) ) )
              <=> relation_composition(X0,X1) = X2 ) )
          | ~ relation(X1) ) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ! [X2] :
              ( relation(X2)
             => ( ! [X4,X3] :
                    ( in(ordered_pair(X4,X3),X2)
                  <=> ? [X5] :
                        ( in(ordered_pair(X5,X3),X1)
                        & in(ordered_pair(X4,X5),X0) ) )
              <=> relation_composition(X0,X1) = X2 ) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ! [X2] :
              ( relation(X2)
             => ( ! [X4,X3] :
                    ( ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) )
                  <=> in(ordered_pair(X3,X4),X2) )
              <=> relation_composition(X0,X1) = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).

fof(f623,plain,
    ( spl19_5
    | spl19_10 ),
    inference(avatar_split_clause,[],[f618,f620,f242]) ).

fof(f618,plain,
    ( in(unordered_pair(unordered_pair(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))))),sK14)
    | in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14))) ),
    inference(subsumption_resolution,[],[f283,f155]) ).

fof(f283,plain,
    ( in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14)))
    | ~ relation(sK14)
    | in(unordered_pair(unordered_pair(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))))),sK14) ),
    inference(resolution,[],[f189,f197]) ).

fof(f197,plain,
    ~ sQ18_eqProxy(relation_image(sK14,relation_rng(sK13)),relation_rng(relation_composition(sK13,sK14))),
    inference(equality_proxy_replacement,[],[f154,f183]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( sQ18_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ18_eqProxy])]) ).

fof(f154,plain,
    relation_image(sK14,relation_rng(sK13)) != relation_rng(relation_composition(sK13,sK14)),
    inference(cnf_transformation,[],[f102]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( sQ18_eqProxy(relation_image(X0,X1),X2)
      | ~ relation(X0)
      | in(sK5(X0,X1,X2),X2)
      | in(unordered_pair(unordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),singleton(sK6(X0,X1,X2))),X0) ),
    inference(equality_proxy_replacement,[],[f169,f183]) ).

fof(f169,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | relation_image(X0,X1) = X2
      | in(unordered_pair(unordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),singleton(sK6(X0,X1,X2))),X0)
      | in(sK5(X0,X1,X2),X2) ),
    inference(definition_unfolding,[],[f120,f150]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | relation_image(X0,X1) = X2
      | in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X0)
      | in(sK5(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X4,X3),X0) ) )
                & ( ( in(sK4(X0,X1,X3),X1)
                    & in(ordered_pair(sK4(X0,X1,X3),X3),X0) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 )
          & ( relation_image(X0,X1) = X2
            | ( ( ! [X7] :
                    ( ~ in(X7,X1)
                    | ~ in(ordered_pair(X7,sK5(X0,X1,X2)),X0) )
                | ~ in(sK5(X0,X1,X2),X2) )
              & ( ( in(sK6(X0,X1,X2),X1)
                  & in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X0) )
                | in(sK5(X0,X1,X2),X2) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f75,f78,f77,f76]) ).

fof(f76,plain,
    ! [X0,X1,X3] :
      ( ? [X5] :
          ( in(X5,X1)
          & in(ordered_pair(X5,X3),X0) )
     => ( in(sK4(X0,X1,X3),X1)
        & in(ordered_pair(sK4(X0,X1,X3),X3),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( ( ! [X7] :
                ( ~ in(X7,X1)
                | ~ in(ordered_pair(X7,X6),X0) )
            | ~ in(X6,X2) )
          & ( ? [X8] :
                ( in(X8,X1)
                & in(ordered_pair(X8,X6),X0) )
            | in(X6,X2) ) )
     => ( ( ! [X7] :
              ( ~ in(X7,X1)
              | ~ in(ordered_pair(X7,sK5(X0,X1,X2)),X0) )
          | ~ in(sK5(X0,X1,X2),X2) )
        & ( ? [X8] :
              ( in(X8,X1)
              & in(ordered_pair(X8,sK5(X0,X1,X2)),X0) )
          | in(sK5(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ? [X8] :
          ( in(X8,X1)
          & in(ordered_pair(X8,sK5(X0,X1,X2)),X0) )
     => ( in(sK6(X0,X1,X2),X1)
        & in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X4,X3),X0) ) )
                & ( ? [X5] :
                      ( in(X5,X1)
                      & in(ordered_pair(X5,X3),X0) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 )
          & ( relation_image(X0,X1) = X2
            | ? [X6] :
                ( ( ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X7,X6),X0) )
                  | ~ in(X6,X2) )
                & ( ? [X8] :
                      ( in(X8,X1)
                      & in(ordered_pair(X8,X6),X0) )
                  | in(X6,X2) ) ) ) ) ),
    inference(rectify,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X4,X3),X0) ) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X4,X3),X0) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 )
          & ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X4,X3),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X4,X3),X0) )
                  | in(X3,X2) ) ) ) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X4,X3),X0) ) )
        <=> relation_image(X0,X1) = X2 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X4,X3),X0) ) )
        <=> relation_image(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).

fof(f613,plain,
    ~ spl19_5,
    inference(avatar_contradiction_clause,[],[f612]) ).

fof(f612,plain,
    ( $false
    | ~ spl19_5 ),
    inference(subsumption_resolution,[],[f611,f155]) ).

fof(f611,plain,
    ( ~ relation(sK14)
    | ~ spl19_5 ),
    inference(subsumption_resolution,[],[f609,f153]) ).

fof(f609,plain,
    ( ~ relation(sK13)
    | ~ relation(sK14)
    | ~ spl19_5 ),
    inference(resolution,[],[f604,f138]) ).

fof(f604,plain,
    ( ~ relation(relation_composition(sK13,sK14))
    | ~ spl19_5 ),
    inference(subsumption_resolution,[],[f603,f153]) ).

fof(f603,plain,
    ( ~ relation(relation_composition(sK13,sK14))
    | ~ relation(sK13)
    | ~ spl19_5 ),
    inference(subsumption_resolution,[],[f602,f244]) ).

fof(f244,plain,
    ( in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14)))
    | ~ spl19_5 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f602,plain,
    ( ~ relation(relation_composition(sK13,sK14))
    | ~ in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14)))
    | ~ relation(sK13)
    | ~ spl19_5 ),
    inference(subsumption_resolution,[],[f600,f155]) ).

fof(f600,plain,
    ( ~ relation(relation_composition(sK13,sK14))
    | ~ relation(sK14)
    | ~ relation(sK13)
    | ~ in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14)))
    | ~ spl19_5 ),
    inference(duplicate_literal_removal,[],[f594]) ).

fof(f594,plain,
    ( ~ relation(sK14)
    | ~ in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14)))
    | ~ relation(relation_composition(sK13,sK14))
    | ~ in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14)))
    | ~ relation(sK13)
    | ~ relation(sK13)
    | ~ spl19_5 ),
    inference(resolution,[],[f367,f319]) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ in(sK0(X0,sK14,sK7(relation_composition(X0,sK14),sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),relation_rng(sK13))
        | ~ relation(X0)
        | ~ relation(relation_composition(X0,sK14))
        | ~ in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(X0,sK14))) )
    | ~ spl19_5 ),
    inference(resolution,[],[f316,f181]) ).

fof(f316,plain,
    ( ! [X16,X15] :
        ( ~ in(unordered_pair(unordered_pair(X16,sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(X16)),relation_composition(X15,sK14))
        | ~ relation(X15)
        | ~ in(sK0(X15,sK14,X16,sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),relation_rng(sK13)) )
    | ~ spl19_5 ),
    inference(subsumption_resolution,[],[f309,f155]) ).

fof(f309,plain,
    ( ! [X16,X15] :
        ( ~ relation(sK14)
        | ~ in(sK0(X15,sK14,X16,sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),relation_rng(sK13))
        | ~ relation(X15)
        | ~ in(unordered_pair(unordered_pair(X16,sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(X16)),relation_composition(X15,sK14)) )
    | ~ spl19_5 ),
    inference(resolution,[],[f297,f259]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ in(unordered_pair(unordered_pair(X0,sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(X0)),sK14)
        | ~ in(X0,relation_rng(sK13)) )
    | ~ spl19_5 ),
    inference(subsumption_resolution,[],[f258,f244]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14)))
      | ~ in(unordered_pair(unordered_pair(X0,sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(X0)),sK14)
      | ~ in(X0,relation_rng(sK13)) ),
    inference(subsumption_resolution,[],[f257,f155]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ relation(sK14)
      | ~ in(unordered_pair(unordered_pair(X0,sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14)))),singleton(X0)),sK14)
      | ~ in(X0,relation_rng(sK13))
      | ~ in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14))) ),
    inference(resolution,[],[f187,f197]) ).

fof(f187,plain,
    ! [X2,X0,X1,X7] :
      ( sQ18_eqProxy(relation_image(X0,X1),X2)
      | ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X7,sK5(X0,X1,X2)),singleton(X7)),X0)
      | ~ in(X7,X1)
      | ~ in(sK5(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f168,f183]) ).

fof(f168,plain,
    ! [X2,X0,X1,X7] :
      ( ~ relation(X0)
      | relation_image(X0,X1) = X2
      | ~ in(X7,X1)
      | ~ in(unordered_pair(unordered_pair(X7,sK5(X0,X1,X2)),singleton(X7)),X0)
      | ~ in(sK5(X0,X1,X2),X2) ),
    inference(definition_unfolding,[],[f122,f150]) ).

fof(f122,plain,
    ! [X2,X0,X1,X7] :
      ( ~ relation(X0)
      | relation_image(X0,X1) = X2
      | ~ in(X7,X1)
      | ~ in(ordered_pair(X7,sK5(X0,X1,X2)),X0)
      | ~ in(sK5(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f297,plain,
    ! [X3,X0,X1,X4] :
      ( in(unordered_pair(unordered_pair(sK0(X0,X1,X3,X4),X4),singleton(sK0(X0,X1,X3,X4))),X1)
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1)) ),
    inference(subsumption_resolution,[],[f176,f138]) ).

fof(f176,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | in(unordered_pair(unordered_pair(sK0(X0,X1,X3,X4),X4),singleton(sK0(X0,X1,X3,X4))),X1) ),
    inference(equality_resolution,[],[f161]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(unordered_pair(unordered_pair(sK0(X0,X1,X3,X4),X4),singleton(sK0(X0,X1,X3,X4))),X1)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_composition(X0,X1) != X2
      | ~ relation(X1) ),
    inference(definition_unfolding,[],[f113,f150,f150]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(ordered_pair(sK0(X0,X1,X3,X4),X4),X1)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f367,plain,
    ! [X2,X0,X1] :
      ( in(sK0(X1,X0,sK7(relation_composition(X1,X0),X2),X2),relation_rng(X1))
      | ~ relation(X0)
      | ~ in(X2,relation_rng(relation_composition(X1,X0)))
      | ~ relation(X1) ),
    inference(subsumption_resolution,[],[f363,f138]) ).

fof(f363,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X1)
      | in(sK0(X1,X0,sK7(relation_composition(X1,X0),X2),X2),relation_rng(X1))
      | ~ relation(relation_composition(X1,X0))
      | ~ in(X2,relation_rng(relation_composition(X1,X0)))
      | ~ relation(X0) ),
    inference(resolution,[],[f264,f181]) ).

fof(f264,plain,
    ! [X8,X6,X7,X5] :
      ( ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),relation_composition(X5,X8))
      | ~ relation(X8)
      | ~ relation(X5)
      | in(sK0(X5,X8,X6,X7),relation_rng(X5)) ),
    inference(duplicate_literal_removal,[],[f262]) ).

fof(f262,plain,
    ! [X8,X6,X7,X5] :
      ( in(sK0(X5,X8,X6,X7),relation_rng(X5))
      | ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),relation_composition(X5,X8))
      | ~ relation(X8)
      | ~ relation(X5)
      | ~ relation(X5) ),
    inference(resolution,[],[f260,f182]) ).

fof(f260,plain,
    ! [X3,X0,X1,X4] :
      ( in(unordered_pair(unordered_pair(X3,sK0(X0,X1,X3,X4)),singleton(X3)),X0)
      | ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1))
      | ~ relation(X1) ),
    inference(subsumption_resolution,[],[f177,f138]) ).

fof(f177,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X1)
      | in(unordered_pair(unordered_pair(X3,sK0(X0,X1,X3,X4)),singleton(X3)),X0)
      | ~ relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1)) ),
    inference(equality_resolution,[],[f162]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(unordered_pair(unordered_pair(X3,sK0(X0,X1,X3,X4)),singleton(X3)),X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_composition(X0,X1) != X2
      | ~ relation(X1) ),
    inference(definition_unfolding,[],[f112,f150,f150]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(ordered_pair(X3,sK0(X0,X1,X3,X4)),X0)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f249,plain,
    ( spl19_5
    | spl19_6 ),
    inference(avatar_split_clause,[],[f240,f246,f242]) ).

fof(f240,plain,
    ( in(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(sK13))
    | in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14))) ),
    inference(subsumption_resolution,[],[f239,f155]) ).

fof(f239,plain,
    ( in(sK6(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(sK13))
    | ~ relation(sK14)
    | in(sK5(sK14,relation_rng(sK13),relation_rng(relation_composition(sK13,sK14))),relation_rng(relation_composition(sK13,sK14))) ),
    inference(resolution,[],[f188,f197]) ).

fof(f188,plain,
    ! [X2,X0,X1] :
      ( sQ18_eqProxy(relation_image(X0,X1),X2)
      | in(sK6(X0,X1,X2),X1)
      | ~ relation(X0)
      | in(sK5(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f121,f183]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | relation_image(X0,X1) = X2
      | in(sK6(X0,X1,X2),X1)
      | in(sK5(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU207+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_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n008.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   : Tue Aug 30 14:59:10 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.53  % (24941)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)
% 0.20/0.54  % (24956)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  % (24948)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)
% 0.20/0.54  % (24933)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.55  % (24940)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)
% 0.20/0.55  % (24948)Instruction limit reached!
% 0.20/0.55  % (24948)------------------------------
% 0.20/0.55  % (24948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (24948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (24948)Termination reason: Unknown
% 0.20/0.55  % (24948)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (24948)Memory used [KB]: 6012
% 0.20/0.55  % (24948)Time elapsed: 0.011 s
% 0.20/0.55  % (24948)Instructions burned: 7 (million)
% 0.20/0.55  % (24948)------------------------------
% 0.20/0.55  % (24948)------------------------------
% 1.53/0.57  % (24953)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)
% 1.83/0.59  % (24938)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)
% 1.83/0.59  % (24935)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)
% 1.83/0.59  % (24935)Instruction limit reached!
% 1.83/0.59  % (24935)------------------------------
% 1.83/0.59  % (24935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (24935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (24935)Termination reason: Unknown
% 1.83/0.59  % (24935)Termination phase: shuffling
% 1.83/0.59  
% 1.83/0.59  % (24935)Memory used [KB]: 1535
% 1.83/0.59  % (24935)Time elapsed: 0.003 s
% 1.83/0.59  % (24935)Instructions burned: 3 (million)
% 1.83/0.59  % (24935)------------------------------
% 1.83/0.59  % (24935)------------------------------
% 1.83/0.59  % (24937)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)
% 1.83/0.60  % (24939)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)
% 1.83/0.60  % (24936)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)
% 1.83/0.60  % (24952)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)
% 1.83/0.60  % (24962)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)
% 1.83/0.61  % (24946)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)
% 1.83/0.61  % (24951)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)
% 1.83/0.61  % (24951)Instruction limit reached!
% 1.83/0.61  % (24951)------------------------------
% 1.83/0.61  % (24951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (24951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (24951)Termination reason: Unknown
% 1.83/0.61  % (24951)Termination phase: Preprocessing 1
% 1.83/0.61  
% 1.83/0.61  % (24951)Memory used [KB]: 1407
% 1.83/0.61  % (24951)Time elapsed: 0.002 s
% 1.83/0.61  % (24951)Instructions burned: 2 (million)
% 1.83/0.61  % (24951)------------------------------
% 1.83/0.61  % (24951)------------------------------
% 1.83/0.61  % (24960)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)
% 1.83/0.61  % (24955)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)
% 1.83/0.61  % (24959)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)
% 1.83/0.61  % (24942)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)
% 1.83/0.61  % (24954)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)
% 1.83/0.61  % (24950)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.83/0.61  % (24961)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)
% 1.83/0.61  % (24950)Instruction limit reached!
% 1.83/0.61  % (24950)------------------------------
% 1.83/0.61  % (24950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (24950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (24950)Termination reason: Unknown
% 1.83/0.61  % (24950)Termination phase: Finite model building preprocessing
% 1.83/0.61  
% 1.83/0.61  % (24950)Memory used [KB]: 1535
% 1.83/0.61  % (24950)Time elapsed: 0.004 s
% 1.83/0.61  % (24950)Instructions burned: 4 (million)
% 1.83/0.61  % (24950)------------------------------
% 1.83/0.61  % (24950)------------------------------
% 1.83/0.62  % (24958)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)
% 1.83/0.62  % (24938)Instruction limit reached!
% 1.83/0.62  % (24938)------------------------------
% 1.83/0.62  % (24938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (24938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (24938)Termination reason: Unknown
% 1.83/0.62  % (24938)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (24938)Memory used [KB]: 1791
% 1.83/0.62  % (24938)Time elapsed: 0.203 s
% 1.83/0.62  % (24938)Instructions burned: 15 (million)
% 1.83/0.62  % (24938)------------------------------
% 1.83/0.62  % (24938)------------------------------
% 1.83/0.62  % (24937)Instruction limit reached!
% 1.83/0.62  % (24937)------------------------------
% 1.83/0.62  % (24937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (24937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (24937)Termination reason: Unknown
% 1.83/0.62  % (24937)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (24937)Memory used [KB]: 6140
% 1.83/0.62  % (24937)Time elapsed: 0.185 s
% 1.83/0.62  % (24937)Instructions burned: 14 (million)
% 1.83/0.62  % (24937)------------------------------
% 1.83/0.62  % (24937)------------------------------
% 1.83/0.62  % (24947)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)
% 1.83/0.62  % (24947)Instruction limit reached!
% 1.83/0.62  % (24947)------------------------------
% 1.83/0.62  % (24947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (24947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (24947)Termination reason: Unknown
% 1.83/0.62  % (24947)Termination phase: Inequality splitting
% 1.83/0.62  
% 1.83/0.62  % (24947)Memory used [KB]: 1535
% 1.83/0.62  % (24947)Time elapsed: 0.003 s
% 1.83/0.62  % (24947)Instructions burned: 3 (million)
% 1.83/0.62  % (24947)------------------------------
% 1.83/0.62  % (24947)------------------------------
% 1.83/0.62  % (24945)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)
% 1.83/0.62  % (24956)Instruction limit reached!
% 1.83/0.62  % (24956)------------------------------
% 1.83/0.62  % (24956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (24956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (24956)Termination reason: Unknown
% 1.83/0.62  % (24956)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (24956)Memory used [KB]: 2174
% 1.83/0.62  % (24956)Time elapsed: 0.154 s
% 1.83/0.62  % (24956)Instructions burned: 45 (million)
% 1.83/0.62  % (24943)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)
% 1.83/0.62  % (24956)------------------------------
% 1.83/0.62  % (24956)------------------------------
% 1.83/0.62  % (24953)Instruction limit reached!
% 1.83/0.62  % (24953)------------------------------
% 1.83/0.62  % (24953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (24940)Instruction limit reached!
% 1.83/0.62  % (24940)------------------------------
% 1.83/0.62  % (24940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (24940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (24940)Termination reason: Unknown
% 1.83/0.62  % (24940)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (24940)Memory used [KB]: 6780
% 1.83/0.62  % (24940)Time elapsed: 0.151 s
% 1.83/0.62  % (24940)Instructions burned: 39 (million)
% 1.83/0.62  % (24940)------------------------------
% 1.83/0.62  % (24940)------------------------------
% 1.83/0.63  % (24934)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)
% 1.83/0.63  % (24941)Instruction limit reached!
% 1.83/0.63  % (24941)------------------------------
% 1.83/0.63  % (24941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63  % (24944)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)
% 1.83/0.63  % (24934)Refutation not found, incomplete strategy% (24934)------------------------------
% 1.83/0.63  % (24934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63  % (24934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (24934)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.63  
% 1.83/0.63  % (24934)Memory used [KB]: 6012
% 1.83/0.63  % (24934)Time elapsed: 0.204 s
% 1.83/0.63  % (24934)Instructions burned: 5 (million)
% 1.83/0.63  % (24934)------------------------------
% 1.83/0.63  % (24934)------------------------------
% 1.83/0.63  % (24941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (24941)Termination reason: Unknown
% 1.83/0.63  % (24941)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (24941)Memory used [KB]: 7164
% 1.83/0.63  % (24941)Time elapsed: 0.210 s
% 1.83/0.63  % (24941)Instructions burned: 49 (million)
% 1.83/0.63  % (24941)------------------------------
% 1.83/0.63  % (24941)------------------------------
% 1.83/0.63  % (24953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (24953)Termination reason: Unknown
% 1.83/0.63  % (24953)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (24953)Memory used [KB]: 6396
% 1.83/0.63  % (24953)Time elapsed: 0.203 s
% 1.83/0.63  % (24953)Instructions burned: 31 (million)
% 1.83/0.63  % (24953)------------------------------
% 1.83/0.63  % (24953)------------------------------
% 1.83/0.64  % (24949)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)
% 1.83/0.64  % (24961)Instruction limit reached!
% 1.83/0.64  % (24961)------------------------------
% 1.83/0.64  % (24961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.64  % (24961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.64  % (24961)Termination reason: Unknown
% 1.83/0.64  % (24961)Termination phase: Saturation
% 1.83/0.64  
% 1.83/0.64  % (24961)Memory used [KB]: 6140
% 1.83/0.64  % (24961)Time elapsed: 0.229 s
% 1.83/0.64  % (24961)Instructions burned: 9 (million)
% 1.83/0.64  % (24961)------------------------------
% 1.83/0.64  % (24961)------------------------------
% 1.83/0.64  % (24957)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)
% 1.83/0.65  % (24952)Instruction limit reached!
% 1.83/0.65  % (24952)------------------------------
% 1.83/0.65  % (24952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.65  % (24952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.65  % (24952)Termination reason: Unknown
% 1.83/0.65  % (24952)Termination phase: Saturation
% 1.83/0.65  
% 1.83/0.65  % (24952)Memory used [KB]: 6268
% 1.83/0.65  % (24952)Time elapsed: 0.214 s
% 1.83/0.65  % (24952)Instructions burned: 11 (million)
% 1.83/0.65  % (24952)------------------------------
% 1.83/0.65  % (24952)------------------------------
% 1.83/0.65  % (24944)Instruction limit reached!
% 1.83/0.65  % (24944)------------------------------
% 1.83/0.65  % (24944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.65  % (24944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.65  % (24944)Termination reason: Unknown
% 1.83/0.65  % (24944)Termination phase: Saturation
% 1.83/0.65  
% 1.83/0.65  % (24944)Memory used [KB]: 6140
% 1.83/0.65  % (24944)Time elapsed: 0.006 s
% 1.83/0.65  % (24944)Instructions burned: 7 (million)
% 1.83/0.65  % (24944)------------------------------
% 1.83/0.65  % (24944)------------------------------
% 1.83/0.65  % (24943)Instruction limit reached!
% 1.83/0.65  % (24943)------------------------------
% 1.83/0.65  % (24943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.65  % (24943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.65  % (24943)Termination reason: Unknown
% 1.83/0.65  % (24943)Termination phase: Saturation
% 1.83/0.65  
% 1.83/0.65  % (24943)Memory used [KB]: 6268
% 1.83/0.65  % (24943)Time elapsed: 0.240 s
% 1.83/0.65  % (24943)Instructions burned: 12 (million)
% 1.83/0.65  % (24943)------------------------------
% 1.83/0.65  % (24943)------------------------------
% 1.83/0.65  % (24945)Instruction limit reached!
% 1.83/0.65  % (24945)------------------------------
% 1.83/0.65  % (24945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.66  % (24962)Instruction limit reached!
% 1.83/0.66  % (24962)------------------------------
% 1.83/0.66  % (24962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.66  % (24960)Instruction limit reached!
% 2.40/0.66  % (24960)------------------------------
% 2.40/0.66  % (24960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.67  % (24945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.67  % (24945)Termination reason: Unknown
% 2.40/0.67  % (24945)Termination phase: Saturation
% 2.40/0.67  
% 2.40/0.67  % (24945)Memory used [KB]: 1791
% 2.40/0.67  % (24945)Time elapsed: 0.238 s
% 2.40/0.67  % (24945)Instructions burned: 17 (million)
% 2.40/0.67  % (24945)------------------------------
% 2.40/0.67  % (24945)------------------------------
% 2.42/0.68  % (24962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.68  % (24962)Termination reason: Unknown
% 2.42/0.68  % (24962)Termination phase: Saturation
% 2.42/0.68  
% 2.42/0.68  % (24962)Memory used [KB]: 6396
% 2.42/0.68  % (24962)Time elapsed: 0.234 s
% 2.42/0.68  % (24962)Instructions burned: 24 (million)
% 2.42/0.68  % (24962)------------------------------
% 2.42/0.68  % (24962)------------------------------
% 2.42/0.68  % (24960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.68  % (24960)Termination reason: Unknown
% 2.42/0.68  % (24960)Termination phase: Saturation
% 2.42/0.68  
% 2.42/0.68  % (24960)Memory used [KB]: 6524
% 2.42/0.68  % (24960)Time elapsed: 0.240 s
% 2.42/0.68  % (24960)Instructions burned: 25 (million)
% 2.42/0.68  % (24960)------------------------------
% 2.42/0.68  % (24960)------------------------------
% 2.42/0.69  % (24942)Instruction limit reached!
% 2.42/0.69  % (24942)------------------------------
% 2.42/0.69  % (24942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.69  % (24942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.69  % (24942)Termination reason: Unknown
% 2.42/0.69  % (24942)Termination phase: Saturation
% 2.42/0.69  
% 2.42/0.69  % (24942)Memory used [KB]: 6780
% 2.42/0.69  % (24942)Time elapsed: 0.271 s
% 2.42/0.69  % (24942)Instructions burned: 34 (million)
% 2.42/0.69  % (24942)------------------------------
% 2.42/0.69  % (24942)------------------------------
% 2.42/0.70  % (24939)Instruction limit reached!
% 2.42/0.70  % (24939)------------------------------
% 2.42/0.70  % (24939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.70  % (24939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.70  % (24939)Termination reason: Unknown
% 2.42/0.70  % (24939)Termination phase: Saturation
% 2.42/0.70  
% 2.42/0.70  % (24939)Memory used [KB]: 6524
% 2.42/0.70  % (24939)Time elapsed: 0.263 s
% 2.42/0.70  % (24939)Instructions burned: 39 (million)
% 2.42/0.70  % (24939)------------------------------
% 2.42/0.70  % (24939)------------------------------
% 2.55/0.73  % (24946)Instruction limit reached!
% 2.55/0.73  % (24946)------------------------------
% 2.55/0.73  % (24946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.73  % (24946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.73  % (24946)Termination reason: Unknown
% 2.55/0.73  % (24946)Termination phase: Saturation
% 2.55/0.73  
% 2.55/0.73  % (24946)Memory used [KB]: 6780
% 2.55/0.73  % (24946)Time elapsed: 0.314 s
% 2.55/0.73  % (24946)Instructions burned: 51 (million)
% 2.55/0.73  % (24946)------------------------------
% 2.55/0.73  % (24946)------------------------------
% 2.55/0.73  % (24936)Instruction limit reached!
% 2.55/0.73  % (24936)------------------------------
% 2.55/0.73  % (24936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.73  % (24936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.73  % (24936)Termination reason: Unknown
% 2.55/0.73  % (24936)Termination phase: Saturation
% 2.55/0.73  
% 2.55/0.73  % (24936)Memory used [KB]: 7164
% 2.55/0.73  % (24936)Time elapsed: 0.308 s
% 2.55/0.73  % (24936)Instructions burned: 51 (million)
% 2.55/0.73  % (24936)------------------------------
% 2.55/0.73  % (24936)------------------------------
% 2.55/0.73  % (24957)First to succeed.
% 2.55/0.73  % (24957)Refutation found. Thanks to Tanya!
% 2.55/0.73  % SZS status Theorem for theBenchmark
% 2.55/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.55/0.74  % (24957)------------------------------
% 2.55/0.74  % (24957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.74  % (24957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.74  % (24957)Termination reason: Refutation
% 2.55/0.74  
% 2.55/0.74  % (24957)Memory used [KB]: 6524
% 2.55/0.74  % (24957)Time elapsed: 0.311 s
% 2.55/0.74  % (24957)Instructions burned: 33 (million)
% 2.55/0.74  % (24957)------------------------------
% 2.55/0.74  % (24957)------------------------------
% 2.55/0.74  % (24932)Success in time 0.39 s
%------------------------------------------------------------------------------