TSTP Solution File: SEU208+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU208+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 : Sun May  5 09:21:00 EDT 2024

% Result   : Theorem 0.70s 0.87s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   64 (   2 unt;   0 def)
%            Number of atoms       :  309 (  20 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  390 ( 145   ~; 147   |;  71   &)
%                                         (  14 <=>;  12  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :  173 ( 123   !;  50   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f270,plain,
    $false,
    inference(avatar_sat_refutation,[],[f139,f144,f149,f234,f269]) ).

fof(f269,plain,
    ( ~ spl16_1
    | ~ spl16_2 ),
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_2 ),
    inference(subsumption_resolution,[],[f267,f134]) ).

fof(f134,plain,
    ( in(sK11,relation_inverse_image(sK13,sK12))
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl16_1
  <=> in(sK11,relation_inverse_image(sK13,sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f267,plain,
    ( ~ in(sK11,relation_inverse_image(sK13,sK12))
    | ~ spl16_2 ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f265,plain,
    ( ~ in(sK11,relation_inverse_image(sK13,sK12))
    | ~ in(sK11,relation_inverse_image(sK13,sK12))
    | ~ spl16_2 ),
    inference(resolution,[],[f254,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( in(sK2(sK13,X0,X1),X0)
      | ~ in(X1,relation_inverse_image(sK13,X0)) ),
    inference(resolution,[],[f105,f116]) ).

fof(f116,plain,
    ! [X0,X1,X6] :
      ( in(sK2(X0,X1,X6),X1)
      | ~ in(X6,relation_inverse_image(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK2(X0,X1,X6),X1)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ( ( ! [X4] :
                    ( ~ in(X4,X1)
                    | ~ in(ordered_pair(sK0(X0,X1,X2),X4),X0) )
                | ~ in(sK0(X0,X1,X2),X2) )
              & ( ( in(sK1(X0,X1,X2),X1)
                  & in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0) )
                | in(sK0(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X6,X7),X0) ) )
                & ( ( in(sK2(X0,X1,X6),X1)
                    & in(ordered_pair(X6,sK2(X0,X1,X6)),X0) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f48,f51,f50,f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,X1)
                | ~ in(ordered_pair(X3,X4),X0) )
            | ~ in(X3,X2) )
          & ( ? [X5] :
                ( in(X5,X1)
                & in(ordered_pair(X3,X5),X0) )
            | in(X3,X2) ) )
     => ( ( ! [X4] :
              ( ~ in(X4,X1)
              | ~ in(ordered_pair(sK0(X0,X1,X2),X4),X0) )
          | ~ in(sK0(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( in(X5,X1)
              & in(ordered_pair(sK0(X0,X1,X2),X5),X0) )
          | in(sK0(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( in(X5,X1)
          & in(ordered_pair(sK0(X0,X1,X2),X5),X0) )
     => ( in(sK1(X0,X1,X2),X1)
        & in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( in(X8,X1)
          & in(ordered_pair(X6,X8),X0) )
     => ( in(sK2(X0,X1,X6),X1)
        & in(ordered_pair(X6,sK2(X0,X1,X6)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( in(X5,X1)
                      & in(ordered_pair(X3,X5),X0) )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X6,X7),X0) ) )
                & ( ? [X8] :
                      ( in(X8,X1)
                      & in(ordered_pair(X6,X8),X0) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X3,X4),X0) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) ) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q2BhSML8Jh/Vampire---4.8_10353',d14_relat_1) ).

fof(f105,plain,
    relation(sK13),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( ! [X3] :
          ( ~ in(X3,sK12)
          | ~ in(ordered_pair(sK11,X3),sK13)
          | ~ in(X3,relation_rng(sK13)) )
      | ~ in(sK11,relation_inverse_image(sK13,sK12)) )
    & ( ( in(sK14,sK12)
        & in(ordered_pair(sK11,sK14),sK13)
        & in(sK14,relation_rng(sK13)) )
      | in(sK11,relation_inverse_image(sK13,sK12)) )
    & relation(sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f71,f73,f72]) ).

fof(f72,plain,
    ( ? [X0,X1,X2] :
        ( ( ! [X3] :
              ( ~ in(X3,X1)
              | ~ in(ordered_pair(X0,X3),X2)
              | ~ in(X3,relation_rng(X2)) )
          | ~ in(X0,relation_inverse_image(X2,X1)) )
        & ( ? [X4] :
              ( in(X4,X1)
              & in(ordered_pair(X0,X4),X2)
              & in(X4,relation_rng(X2)) )
          | in(X0,relation_inverse_image(X2,X1)) )
        & relation(X2) )
   => ( ( ! [X3] :
            ( ~ in(X3,sK12)
            | ~ in(ordered_pair(sK11,X3),sK13)
            | ~ in(X3,relation_rng(sK13)) )
        | ~ in(sK11,relation_inverse_image(sK13,sK12)) )
      & ( ? [X4] :
            ( in(X4,sK12)
            & in(ordered_pair(sK11,X4),sK13)
            & in(X4,relation_rng(sK13)) )
        | in(sK11,relation_inverse_image(sK13,sK12)) )
      & relation(sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ( ? [X4] :
        ( in(X4,sK12)
        & in(ordered_pair(sK11,X4),sK13)
        & in(X4,relation_rng(sK13)) )
   => ( in(sK14,sK12)
      & in(ordered_pair(sK11,sK14),sK13)
      & in(sK14,relation_rng(sK13)) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ? [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ in(X3,X1)
            | ~ in(ordered_pair(X0,X3),X2)
            | ~ in(X3,relation_rng(X2)) )
        | ~ in(X0,relation_inverse_image(X2,X1)) )
      & ( ? [X4] :
            ( in(X4,X1)
            & in(ordered_pair(X0,X4),X2)
            & in(X4,relation_rng(X2)) )
        | in(X0,relation_inverse_image(X2,X1)) )
      & relation(X2) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ? [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ in(X3,X1)
            | ~ in(ordered_pair(X0,X3),X2)
            | ~ in(X3,relation_rng(X2)) )
        | ~ in(X0,relation_inverse_image(X2,X1)) )
      & ( ? [X3] :
            ( in(X3,X1)
            & in(ordered_pair(X0,X3),X2)
            & in(X3,relation_rng(X2)) )
        | in(X0,relation_inverse_image(X2,X1)) )
      & relation(X2) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ? [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ in(X3,X1)
            | ~ in(ordered_pair(X0,X3),X2)
            | ~ in(X3,relation_rng(X2)) )
        | ~ in(X0,relation_inverse_image(X2,X1)) )
      & ( ? [X3] :
            ( in(X3,X1)
            & in(ordered_pair(X0,X3),X2)
            & in(X3,relation_rng(X2)) )
        | in(X0,relation_inverse_image(X2,X1)) )
      & relation(X2) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ? [X0,X1,X2] :
      ( ( in(X0,relation_inverse_image(X2,X1))
      <~> ? [X3] :
            ( in(X3,X1)
            & in(ordered_pair(X0,X3),X2)
            & in(X3,relation_rng(X2)) ) )
      & relation(X2) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation(X2)
       => ( in(X0,relation_inverse_image(X2,X1))
        <=> ? [X3] :
              ( in(X3,X1)
              & in(ordered_pair(X0,X3),X2)
              & in(X3,relation_rng(X2)) ) ) ),
    inference(negated_conjecture,[],[f26]) ).

fof(f26,conjecture,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_inverse_image(X2,X1))
      <=> ? [X3] :
            ( in(X3,X1)
            & in(ordered_pair(X0,X3),X2)
            & in(X3,relation_rng(X2)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q2BhSML8Jh/Vampire---4.8_10353',t166_relat_1) ).

fof(f254,plain,
    ( ! [X0] :
        ( ~ in(sK2(sK13,X0,sK11),sK12)
        | ~ in(sK11,relation_inverse_image(sK13,X0)) )
    | ~ spl16_2 ),
    inference(resolution,[],[f158,f235]) ).

fof(f235,plain,
    ( ! [X3] :
        ( ~ in(ordered_pair(sK11,X3),sK13)
        | ~ in(X3,sK12) )
    | ~ spl16_2 ),
    inference(subsumption_resolution,[],[f138,f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X1,X0),sK13)
      | in(X0,relation_rng(sK13)) ),
    inference(resolution,[],[f105,f118]) ).

fof(f118,plain,
    ! [X0,X6,X5] :
      ( in(X5,relation_rng(X0))
      | ~ in(ordered_pair(X6,X5),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X6,X5),X0)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK3(X0,X1)),X0)
                | ~ in(sK3(X0,X1),X1) )
              & ( in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
                | in(sK3(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK5(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f54,f57,f56,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X4,X2),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(X3,sK3(X0,X1)),X0)
          | ~ in(sK3(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(X4,sK3(X0,X1)),X0)
          | in(sK3(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(X4,sK3(X0,X1)),X0)
     => in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X7,X5),X0)
     => in(ordered_pair(sK5(X0,X5),X5),X0) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q2BhSML8Jh/Vampire---4.8_10353',d5_relat_1) ).

fof(f138,plain,
    ( ! [X3] :
        ( ~ in(X3,sK12)
        | ~ in(X3,relation_rng(sK13))
        | ~ in(ordered_pair(sK11,X3),sK13) )
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl16_2
  <=> ! [X3] :
        ( ~ in(X3,sK12)
        | ~ in(X3,relation_rng(sK13))
        | ~ in(ordered_pair(sK11,X3),sK13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( in(ordered_pair(X0,sK2(sK13,X1,X0)),sK13)
      | ~ in(X0,relation_inverse_image(sK13,X1)) ),
    inference(resolution,[],[f105,f117]) ).

fof(f117,plain,
    ! [X0,X1,X6] :
      ( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
      | ~ in(X6,relation_inverse_image(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f78]) ).

fof(f78,plain,
    ! [X2,X0,X1,X6] :
      ( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f234,plain,
    ( spl16_1
    | ~ spl16_3
    | ~ spl16_4 ),
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | spl16_1
    | ~ spl16_3
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f224,f143]) ).

fof(f143,plain,
    ( in(sK14,sK12)
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl16_3
  <=> in(sK14,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f224,plain,
    ( ~ in(sK14,sK12)
    | spl16_1
    | ~ spl16_4 ),
    inference(resolution,[],[f217,f135]) ).

fof(f135,plain,
    ( ~ in(sK11,relation_inverse_image(sK13,sK12))
    | spl16_1 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f217,plain,
    ( ! [X0] :
        ( in(sK11,relation_inverse_image(sK13,X0))
        | ~ in(sK14,X0) )
    | ~ spl16_4 ),
    inference(resolution,[],[f156,f148]) ).

fof(f148,plain,
    ( in(ordered_pair(sK11,sK14),sK13)
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl16_4
  <=> in(ordered_pair(sK11,sK14),sK13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X0,X2),sK13)
      | ~ in(X2,X1)
      | in(X0,relation_inverse_image(sK13,X1)) ),
    inference(resolution,[],[f105,f115]) ).

fof(f115,plain,
    ! [X0,X1,X6,X7] :
      ( in(X6,relation_inverse_image(X0,X1))
      | ~ in(X7,X1)
      | ~ in(ordered_pair(X6,X7),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f80]) ).

fof(f80,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(X7,X1)
      | ~ in(ordered_pair(X6,X7),X0)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f149,plain,
    ( spl16_1
    | spl16_4 ),
    inference(avatar_split_clause,[],[f107,f146,f133]) ).

fof(f107,plain,
    ( in(ordered_pair(sK11,sK14),sK13)
    | in(sK11,relation_inverse_image(sK13,sK12)) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f144,plain,
    ( spl16_1
    | spl16_3 ),
    inference(avatar_split_clause,[],[f108,f141,f133]) ).

fof(f108,plain,
    ( in(sK14,sK12)
    | in(sK11,relation_inverse_image(sK13,sK12)) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f139,plain,
    ( ~ spl16_1
    | spl16_2 ),
    inference(avatar_split_clause,[],[f109,f137,f133]) ).

fof(f109,plain,
    ! [X3] :
      ( ~ in(X3,sK12)
      | ~ in(ordered_pair(sK11,X3),sK13)
      | ~ in(X3,relation_rng(sK13))
      | ~ in(sK11,relation_inverse_image(sK13,sK12)) ),
    inference(cnf_transformation,[],[f74]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU208+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 11:25:40 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Q2BhSML8Jh/Vampire---4.8_10353
% 0.70/0.86  % (10701)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.70/0.86  % (10702)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.70/0.86  % (10704)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.70/0.86  % (10705)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.70/0.86  % (10703)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.70/0.86  % (10706)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.70/0.86  % (10707)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.70/0.86  % (10708)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.70/0.86  % (10706)Refutation not found, incomplete strategy% (10706)------------------------------
% 0.70/0.86  % (10706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (10706)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86  
% 0.70/0.86  % (10706)Memory used [KB]: 1066
% 0.70/0.86  % (10706)Time elapsed: 0.005 s
% 0.70/0.86  % (10706)Instructions burned: 5 (million)
% 0.70/0.86  % (10705)First to succeed.
% 0.70/0.86  % (10706)------------------------------
% 0.70/0.86  % (10706)------------------------------
% 0.70/0.86  % (10708)Also succeeded, but the first one will report.
% 0.70/0.86  % (10707)Also succeeded, but the first one will report.
% 0.70/0.86  % (10705)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10605"
% 0.70/0.87  % (10701)Also succeeded, but the first one will report.
% 0.70/0.87  % (10705)Refutation found. Thanks to Tanya!
% 0.70/0.87  % SZS status Theorem for Vampire---4
% 0.70/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.87  % (10705)------------------------------
% 0.70/0.87  % (10705)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87  % (10705)Termination reason: Refutation
% 0.70/0.87  
% 0.70/0.87  % (10705)Memory used [KB]: 1082
% 0.70/0.87  % (10705)Time elapsed: 0.007 s
% 0.70/0.87  % (10705)Instructions burned: 9 (million)
% 0.70/0.87  % (10605)Success in time 0.488 s
% 0.70/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------