TSTP Solution File: SEU055+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU055+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 May  1 03:49:55 EDT 2024

% Result   : Theorem 0.65s 0.77s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   84 (   9 unt;   0 def)
%            Number of atoms       :  293 (  75 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  364 ( 155   ~; 150   |;  40   &)
%                                         (   9 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :   90 (  81   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1585,plain,
    $false,
    inference(avatar_sat_refutation,[],[f451,f533,f538,f1450,f1574,f1584]) ).

fof(f1584,plain,
    ~ spl8_19,
    inference(avatar_contradiction_clause,[],[f1583]) ).

fof(f1583,plain,
    ( $false
    | ~ spl8_19 ),
    inference(subsumption_resolution,[],[f1582,f73]) ).

fof(f73,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ~ one_to_one(sK0)
    & ! [X1,X2] : relation_image(sK0,set_difference(X1,X2)) = set_difference(relation_image(sK0,X1),relation_image(sK0,X2))
    & function(sK0)
    & relation(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f43,f56]) ).

fof(f56,plain,
    ( ? [X0] :
        ( ~ one_to_one(X0)
        & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
        & function(X0)
        & relation(X0) )
   => ( ~ one_to_one(sK0)
      & ! [X2,X1] : relation_image(sK0,set_difference(X1,X2)) = set_difference(relation_image(sK0,X1),relation_image(sK0,X2))
      & function(sK0)
      & relation(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
         => one_to_one(X0) ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
       => one_to_one(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q7lnv5hOqd/Vampire---4.8_21664',t124_funct_1) ).

fof(f1582,plain,
    ( ~ relation(sK0)
    | ~ spl8_19 ),
    inference(subsumption_resolution,[],[f1581,f74]) ).

fof(f74,plain,
    function(sK0),
    inference(cnf_transformation,[],[f57]) ).

fof(f1581,plain,
    ( ~ function(sK0)
    | ~ relation(sK0)
    | ~ spl8_19 ),
    inference(subsumption_resolution,[],[f1580,f76]) ).

fof(f76,plain,
    ~ one_to_one(sK0),
    inference(cnf_transformation,[],[f57]) ).

fof(f1580,plain,
    ( one_to_one(sK0)
    | ~ function(sK0)
    | ~ relation(sK0)
    | ~ spl8_19 ),
    inference(trivial_inequality_removal,[],[f1578]) ).

fof(f1578,plain,
    ( sK6(sK0) != sK6(sK0)
    | one_to_one(sK0)
    | ~ function(sK0)
    | ~ relation(sK0)
    | ~ spl8_19 ),
    inference(superposition,[],[f102,f1418]) ).

fof(f1418,plain,
    ( sK7(sK0) = sK6(sK0)
    | ~ spl8_19 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f1416,plain,
    ( spl8_19
  <=> sK7(sK0) = sK6(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).

fof(f102,plain,
    ! [X0] :
      ( sK6(X0) != sK7(X0)
      | one_to_one(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ( sK6(X0) != sK7(X0)
            & apply(X0,sK6(X0)) = apply(X0,sK7(X0))
            & in(sK7(X0),relation_dom(X0))
            & in(sK6(X0),relation_dom(X0)) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | apply(X0,X3) != apply(X0,X4)
              | ~ in(X4,relation_dom(X0))
              | ~ in(X3,relation_dom(X0)) )
          | ~ one_to_one(X0) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f69,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & apply(X0,X1) = apply(X0,X2)
          & in(X2,relation_dom(X0))
          & in(X1,relation_dom(X0)) )
     => ( sK6(X0) != sK7(X0)
        & apply(X0,sK6(X0)) = apply(X0,sK7(X0))
        & in(sK7(X0),relation_dom(X0))
        & in(sK6(X0),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | apply(X0,X3) != apply(X0,X4)
              | ~ in(X4,relation_dom(X0))
              | ~ in(X3,relation_dom(X0)) )
          | ~ one_to_one(X0) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) ) )
        & ( ! [X1,X2] :
              ( X1 = X2
              | apply(X0,X1) != apply(X0,X2)
              | ~ in(X2,relation_dom(X0))
              | ~ in(X1,relation_dom(X0)) )
          | ~ one_to_one(X0) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( ( apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q7lnv5hOqd/Vampire---4.8_21664',d8_funct_1) ).

fof(f1574,plain,
    ( ~ spl8_9
    | spl8_21 ),
    inference(avatar_contradiction_clause,[],[f1573]) ).

fof(f1573,plain,
    ( $false
    | ~ spl8_9
    | spl8_21 ),
    inference(subsumption_resolution,[],[f1572,f73]) ).

fof(f1572,plain,
    ( ~ relation(sK0)
    | ~ spl8_9
    | spl8_21 ),
    inference(subsumption_resolution,[],[f1571,f74]) ).

fof(f1571,plain,
    ( ~ function(sK0)
    | ~ relation(sK0)
    | ~ spl8_9
    | spl8_21 ),
    inference(subsumption_resolution,[],[f1568,f527]) ).

fof(f527,plain,
    ( in(sK6(sK0),relation_dom(sK0))
    | ~ spl8_9 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl8_9
  <=> in(sK6(sK0),relation_dom(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).

fof(f1568,plain,
    ( ~ in(sK6(sK0),relation_dom(sK0))
    | ~ function(sK0)
    | ~ relation(sK0)
    | spl8_21 ),
    inference(trivial_inequality_removal,[],[f1567]) ).

fof(f1567,plain,
    ( singleton(apply(sK0,sK6(sK0))) != singleton(apply(sK0,sK6(sK0)))
    | ~ in(sK6(sK0),relation_dom(sK0))
    | ~ function(sK0)
    | ~ relation(sK0)
    | spl8_21 ),
    inference(superposition,[],[f1449,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( in(X0,relation_dom(X1))
       => relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q7lnv5hOqd/Vampire---4.8_21664',t117_funct_1) ).

fof(f1449,plain,
    ( singleton(apply(sK0,sK6(sK0))) != relation_image(sK0,singleton(sK6(sK0)))
    | spl8_21 ),
    inference(avatar_component_clause,[],[f1447]) ).

fof(f1447,plain,
    ( spl8_21
  <=> singleton(apply(sK0,sK6(sK0))) = relation_image(sK0,singleton(sK6(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).

fof(f1450,plain,
    ( spl8_19
    | ~ spl8_21
    | ~ spl8_9
    | ~ spl8_10 ),
    inference(avatar_split_clause,[],[f1413,f530,f526,f1447,f1416]) ).

fof(f530,plain,
    ( spl8_10
  <=> ! [X0] : relation_image(sK0,set_difference(X0,singleton(sK7(sK0)))) = relation_image(sK0,set_difference(X0,singleton(sK6(sK0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).

fof(f1413,plain,
    ( singleton(apply(sK0,sK6(sK0))) != relation_image(sK0,singleton(sK6(sK0)))
    | sK7(sK0) = sK6(sK0)
    | ~ spl8_9
    | ~ spl8_10 ),
    inference(subsumption_resolution,[],[f1386,f527]) ).

fof(f1386,plain,
    ( singleton(apply(sK0,sK6(sK0))) != relation_image(sK0,singleton(sK6(sK0)))
    | ~ in(sK6(sK0),relation_dom(sK0))
    | sK7(sK0) = sK6(sK0)
    | ~ spl8_10 ),
    inference(superposition,[],[f1247,f573]) ).

fof(f573,plain,
    ( ! [X0] :
        ( relation_image(sK0,singleton(X0)) = relation_image(sK0,set_difference(singleton(X0),singleton(sK6(sK0))))
        | sK7(sK0) = X0 )
    | ~ spl8_10 ),
    inference(superposition,[],[f531,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( singleton(X0) = set_difference(singleton(X0),singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( singleton(X0) = set_difference(singleton(X0),singleton(X1))
        | X0 = X1 )
      & ( X0 != X1
        | singleton(X0) != set_difference(singleton(X0),singleton(X1)) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( singleton(X0) = set_difference(singleton(X0),singleton(X1))
    <=> X0 != X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.Q7lnv5hOqd/Vampire---4.8_21664',t20_zfmisc_1) ).

fof(f531,plain,
    ( ! [X0] : relation_image(sK0,set_difference(X0,singleton(sK7(sK0)))) = relation_image(sK0,set_difference(X0,singleton(sK6(sK0))))
    | ~ spl8_10 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f1247,plain,
    ! [X0] :
      ( singleton(apply(sK0,X0)) != relation_image(sK0,set_difference(singleton(X0),singleton(X0)))
      | ~ in(X0,relation_dom(sK0)) ),
    inference(duplicate_literal_removal,[],[f1226]) ).

fof(f1226,plain,
    ! [X0] :
      ( singleton(apply(sK0,X0)) != relation_image(sK0,set_difference(singleton(X0),singleton(X0)))
      | ~ in(X0,relation_dom(sK0))
      | ~ in(X0,relation_dom(sK0)) ),
    inference(superposition,[],[f107,f488]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( relation_image(sK0,set_difference(singleton(X0),singleton(X1))) = set_difference(singleton(apply(sK0,X0)),singleton(apply(sK0,X1)))
      | ~ in(X1,relation_dom(sK0))
      | ~ in(X0,relation_dom(sK0)) ),
    inference(subsumption_resolution,[],[f487,f73]) ).

fof(f487,plain,
    ! [X0,X1] :
      ( relation_image(sK0,set_difference(singleton(X0),singleton(X1))) = set_difference(singleton(apply(sK0,X0)),singleton(apply(sK0,X1)))
      | ~ in(X1,relation_dom(sK0))
      | ~ in(X0,relation_dom(sK0))
      | ~ relation(sK0) ),
    inference(subsumption_resolution,[],[f469,f74]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( relation_image(sK0,set_difference(singleton(X0),singleton(X1))) = set_difference(singleton(apply(sK0,X0)),singleton(apply(sK0,X1)))
      | ~ in(X1,relation_dom(sK0))
      | ~ in(X0,relation_dom(sK0))
      | ~ function(sK0)
      | ~ relation(sK0) ),
    inference(superposition,[],[f431,f106]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( relation_image(sK0,set_difference(X1,singleton(X0))) = set_difference(relation_image(sK0,X1),singleton(apply(sK0,X0)))
      | ~ in(X0,relation_dom(sK0)) ),
    inference(subsumption_resolution,[],[f430,f73]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( relation_image(sK0,set_difference(X1,singleton(X0))) = set_difference(relation_image(sK0,X1),singleton(apply(sK0,X0)))
      | ~ in(X0,relation_dom(sK0))
      | ~ relation(sK0) ),
    inference(subsumption_resolution,[],[f426,f74]) ).

fof(f426,plain,
    ! [X0,X1] :
      ( relation_image(sK0,set_difference(X1,singleton(X0))) = set_difference(relation_image(sK0,X1),singleton(apply(sK0,X0)))
      | ~ in(X0,relation_dom(sK0))
      | ~ function(sK0)
      | ~ relation(sK0) ),
    inference(superposition,[],[f75,f106]) ).

fof(f75,plain,
    ! [X2,X1] : relation_image(sK0,set_difference(X1,X2)) = set_difference(relation_image(sK0,X1),relation_image(sK0,X2)),
    inference(cnf_transformation,[],[f57]) ).

fof(f107,plain,
    ! [X1] : singleton(X1) != set_difference(singleton(X1),singleton(X1)),
    inference(equality_resolution,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( X0 != X1
      | singleton(X0) != set_difference(singleton(X0),singleton(X1)) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f538,plain,
    spl8_9,
    inference(avatar_contradiction_clause,[],[f537]) ).

fof(f537,plain,
    ( $false
    | spl8_9 ),
    inference(subsumption_resolution,[],[f536,f73]) ).

fof(f536,plain,
    ( ~ relation(sK0)
    | spl8_9 ),
    inference(subsumption_resolution,[],[f535,f74]) ).

fof(f535,plain,
    ( ~ function(sK0)
    | ~ relation(sK0)
    | spl8_9 ),
    inference(subsumption_resolution,[],[f534,f76]) ).

fof(f534,plain,
    ( one_to_one(sK0)
    | ~ function(sK0)
    | ~ relation(sK0)
    | spl8_9 ),
    inference(resolution,[],[f528,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( in(sK6(X0),relation_dom(X0))
      | one_to_one(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f528,plain,
    ( ~ in(sK6(sK0),relation_dom(sK0))
    | spl8_9 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f533,plain,
    ( ~ spl8_9
    | spl8_10
    | ~ spl8_7 ),
    inference(avatar_split_clause,[],[f507,f439,f530,f526]) ).

fof(f439,plain,
    ( spl8_7
  <=> in(sK7(sK0),relation_dom(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).

fof(f507,plain,
    ( ! [X0] :
        ( relation_image(sK0,set_difference(X0,singleton(sK7(sK0)))) = relation_image(sK0,set_difference(X0,singleton(sK6(sK0))))
        | ~ in(sK6(sK0),relation_dom(sK0)) )
    | ~ spl8_7 ),
    inference(superposition,[],[f431,f492]) ).

fof(f492,plain,
    ( ! [X0] : relation_image(sK0,set_difference(X0,singleton(sK7(sK0)))) = set_difference(relation_image(sK0,X0),singleton(apply(sK0,sK6(sK0))))
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f491,f73]) ).

fof(f491,plain,
    ( ! [X0] :
        ( relation_image(sK0,set_difference(X0,singleton(sK7(sK0)))) = set_difference(relation_image(sK0,X0),singleton(apply(sK0,sK6(sK0))))
        | ~ relation(sK0) )
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f490,f74]) ).

fof(f490,plain,
    ( ! [X0] :
        ( relation_image(sK0,set_difference(X0,singleton(sK7(sK0)))) = set_difference(relation_image(sK0,X0),singleton(apply(sK0,sK6(sK0))))
        | ~ function(sK0)
        | ~ relation(sK0) )
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f489,f76]) ).

fof(f489,plain,
    ( ! [X0] :
        ( relation_image(sK0,set_difference(X0,singleton(sK7(sK0)))) = set_difference(relation_image(sK0,X0),singleton(apply(sK0,sK6(sK0))))
        | one_to_one(sK0)
        | ~ function(sK0)
        | ~ relation(sK0) )
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f470,f440]) ).

fof(f440,plain,
    ( in(sK7(sK0),relation_dom(sK0))
    | ~ spl8_7 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f470,plain,
    ! [X0] :
      ( relation_image(sK0,set_difference(X0,singleton(sK7(sK0)))) = set_difference(relation_image(sK0,X0),singleton(apply(sK0,sK6(sK0))))
      | ~ in(sK7(sK0),relation_dom(sK0))
      | one_to_one(sK0)
      | ~ function(sK0)
      | ~ relation(sK0) ),
    inference(superposition,[],[f431,f101]) ).

fof(f101,plain,
    ! [X0] :
      ( apply(X0,sK6(X0)) = apply(X0,sK7(X0))
      | one_to_one(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f451,plain,
    spl8_7,
    inference(avatar_contradiction_clause,[],[f450]) ).

fof(f450,plain,
    ( $false
    | spl8_7 ),
    inference(subsumption_resolution,[],[f449,f73]) ).

fof(f449,plain,
    ( ~ relation(sK0)
    | spl8_7 ),
    inference(subsumption_resolution,[],[f448,f74]) ).

fof(f448,plain,
    ( ~ function(sK0)
    | ~ relation(sK0)
    | spl8_7 ),
    inference(subsumption_resolution,[],[f447,f76]) ).

fof(f447,plain,
    ( one_to_one(sK0)
    | ~ function(sK0)
    | ~ relation(sK0)
    | spl8_7 ),
    inference(resolution,[],[f441,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( in(sK7(X0),relation_dom(X0))
      | one_to_one(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f441,plain,
    ( ~ in(sK7(sK0),relation_dom(sK0))
    | spl8_7 ),
    inference(avatar_component_clause,[],[f439]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU055+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 16:43:33 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Q7lnv5hOqd/Vampire---4.8_21664
% 0.55/0.73  % (21864)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 (2996ds/34Mi)
% 0.55/0.73  % (21871)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 (2996ds/56Mi)
% 0.55/0.73  % (21867)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.73  % (21871)Refutation not found, incomplete strategy% (21871)------------------------------
% 0.55/0.73  % (21871)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (21871)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (21871)Memory used [KB]: 1053
% 0.55/0.73  % (21871)Time elapsed: 0.002 s
% 0.55/0.73  % (21871)Instructions burned: 4 (million)
% 0.55/0.73  % (21865)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 (2996ds/51Mi)
% 0.55/0.73  % (21871)------------------------------
% 0.55/0.73  % (21871)------------------------------
% 0.55/0.73  % (21866)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (21869)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.73  % (21868)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 (2996ds/34Mi)
% 0.55/0.73  % (21870)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 (2996ds/83Mi)
% 0.55/0.73  % (21864)Refutation not found, incomplete strategy% (21864)------------------------------
% 0.55/0.73  % (21864)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (21864)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (21864)Memory used [KB]: 1060
% 0.55/0.73  % (21864)Time elapsed: 0.003 s
% 0.55/0.73  % (21864)Instructions burned: 6 (million)
% 0.55/0.73  % (21864)------------------------------
% 0.55/0.73  % (21864)------------------------------
% 0.55/0.73  % (21868)Refutation not found, incomplete strategy% (21868)------------------------------
% 0.55/0.73  % (21868)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (21868)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (21874)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.73  % (21868)Memory used [KB]: 1059
% 0.55/0.73  % (21868)Time elapsed: 0.004 s
% 0.55/0.73  % (21868)Instructions burned: 5 (million)
% 0.55/0.73  % (21868)------------------------------
% 0.55/0.73  % (21868)------------------------------
% 0.55/0.73  % (21875)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.74  % (21878)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.75  % (21867)Instruction limit reached!
% 0.55/0.75  % (21867)------------------------------
% 0.55/0.75  % (21867)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (21867)Termination reason: Unknown
% 0.55/0.75  % (21867)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (21867)Memory used [KB]: 1711
% 0.55/0.75  % (21867)Time elapsed: 0.020 s
% 0.55/0.75  % (21867)Instructions burned: 34 (million)
% 0.55/0.75  % (21867)------------------------------
% 0.55/0.75  % (21867)------------------------------
% 0.55/0.75  % (21874)Instruction limit reached!
% 0.55/0.75  % (21874)------------------------------
% 0.55/0.75  % (21874)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (21874)Termination reason: Unknown
% 0.55/0.75  % (21874)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (21874)Memory used [KB]: 1901
% 0.55/0.75  % (21874)Time elapsed: 0.018 s
% 0.55/0.75  % (21874)Instructions burned: 56 (million)
% 0.55/0.75  % (21874)------------------------------
% 0.55/0.75  % (21874)------------------------------
% 0.55/0.75  % (21875)Instruction limit reached!
% 0.55/0.75  % (21875)------------------------------
% 0.55/0.75  % (21875)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (21875)Termination reason: Unknown
% 0.55/0.75  % (21875)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (21875)Memory used [KB]: 1672
% 0.55/0.75  % (21875)Time elapsed: 0.019 s
% 0.55/0.75  % (21875)Instructions burned: 53 (million)
% 0.55/0.75  % (21875)------------------------------
% 0.55/0.75  % (21875)------------------------------
% 0.64/0.75  % (21888)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.64/0.75  % (21890)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.65/0.75  % (21869)Instruction limit reached!
% 0.65/0.75  % (21869)------------------------------
% 0.65/0.75  % (21869)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.75  % (21869)Termination reason: Unknown
% 0.65/0.75  % (21869)Termination phase: Saturation
% 0.65/0.75  
% 0.65/0.75  % (21869)Memory used [KB]: 1299
% 0.65/0.75  % (21869)Time elapsed: 0.025 s
% 0.65/0.75  % (21869)Instructions burned: 46 (million)
% 0.65/0.75  % (21869)------------------------------
% 0.65/0.75  % (21869)------------------------------
% 0.65/0.76  % (21891)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.65/0.76  % (21892)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.65/0.76  % (21865)Instruction limit reached!
% 0.65/0.76  % (21865)------------------------------
% 0.65/0.76  % (21865)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.76  % (21865)Termination reason: Unknown
% 0.65/0.76  % (21865)Termination phase: Saturation
% 0.65/0.76  
% 0.65/0.76  % (21865)Memory used [KB]: 1616
% 0.65/0.76  % (21865)Time elapsed: 0.031 s
% 0.65/0.76  % (21865)Instructions burned: 52 (million)
% 0.65/0.76  % (21865)------------------------------
% 0.65/0.76  % (21865)------------------------------
% 0.65/0.76  % (21895)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.65/0.77  % (21891)Instruction limit reached!
% 0.65/0.77  % (21891)------------------------------
% 0.65/0.77  % (21891)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.77  % (21891)Termination reason: Unknown
% 0.65/0.77  % (21891)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (21891)Memory used [KB]: 1434
% 0.65/0.77  % (21891)Time elapsed: 0.015 s
% 0.65/0.77  % (21891)Instructions burned: 43 (million)
% 0.65/0.77  % (21891)------------------------------
% 0.65/0.77  % (21891)------------------------------
% 0.65/0.77  % (21878)First to succeed.
% 0.65/0.77  % (21900)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.65/0.77  % (21870)Instruction limit reached!
% 0.65/0.77  % (21870)------------------------------
% 0.65/0.77  % (21870)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.77  % (21870)Termination reason: Unknown
% 0.65/0.77  % (21870)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (21870)Memory used [KB]: 2346
% 0.65/0.77  % (21870)Time elapsed: 0.043 s
% 0.65/0.77  % (21870)Instructions burned: 84 (million)
% 0.65/0.77  % (21870)------------------------------
% 0.65/0.77  % (21870)------------------------------
% 0.65/0.77  % (21866)Also succeeded, but the first one will report.
% 0.65/0.77  % (21878)Refutation found. Thanks to Tanya!
% 0.65/0.77  % SZS status Theorem for Vampire---4
% 0.65/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.77  % (21878)------------------------------
% 0.65/0.77  % (21878)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.77  % (21878)Termination reason: Refutation
% 0.65/0.77  
% 0.65/0.77  % (21878)Memory used [KB]: 1405
% 0.65/0.77  % (21878)Time elapsed: 0.037 s
% 0.65/0.77  % (21878)Instructions burned: 62 (million)
% 0.65/0.77  % (21878)------------------------------
% 0.65/0.77  % (21878)------------------------------
% 0.65/0.77  % (21827)Success in time 0.407 s
% 0.65/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------