TSTP Solution File: SEU224+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU224+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 : n032.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 03:50:52 EDT 2024

% Result   : Theorem 0.42s 0.60s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   75 (   5 unt;   0 def)
%            Number of atoms       :  349 (  55 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  444 ( 170   ~; 174   |;  78   &)
%                                         (  10 <=>;  10  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :  133 ( 110   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f403,plain,
    $false,
    inference(avatar_sat_refutation,[],[f176,f177,f178,f354,f401,f402]) ).

fof(f402,plain,
    ( spl14_3
    | ~ spl14_1 ),
    inference(avatar_split_clause,[],[f393,f165,f173]) ).

fof(f173,plain,
    ( spl14_3
  <=> in(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f165,plain,
    ( spl14_1
  <=> in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f393,plain,
    ( in(sK1,sK0)
    | ~ spl14_1 ),
    inference(resolution,[],[f366,f163]) ).

fof(f163,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f112]) ).

fof(f112,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ( ( ~ in(sK4(X0,X1,X2),X1)
            | ~ in(sK4(X0,X1,X2),X0)
            | ~ in(sK4(X0,X1,X2),X2) )
          & ( ( in(sK4(X0,X1,X2),X1)
              & in(sK4(X0,X1,X2),X0) )
            | in(sK4(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f79,f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( ~ in(sK4(X0,X1,X2),X1)
          | ~ in(sK4(X0,X1,X2),X0)
          | ~ in(sK4(X0,X1,X2),X2) )
        & ( ( in(sK4(X0,X1,X2),X1)
            & in(sK4(X0,X1,X2),X0) )
          | in(sK4(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ozIAY8kBPb/Vampire---4.8_24989',d3_xboole_0) ).

fof(f366,plain,
    ( in(sK1,set_intersection2(sK0,relation_dom(sK2)))
    | ~ spl14_1 ),
    inference(forward_demodulation,[],[f365,f148]) ).

fof(f148,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.ozIAY8kBPb/Vampire---4.8_24989',commutativity_k3_xboole_0) ).

fof(f365,plain,
    ( in(sK1,set_intersection2(relation_dom(sK2),sK0))
    | ~ spl14_1 ),
    inference(subsumption_resolution,[],[f364,f101]) ).

fof(f101,plain,
    function(sK2),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( ~ in(sK1,sK0)
      | ~ in(sK1,relation_dom(sK2))
      | ~ in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))) )
    & ( ( in(sK1,sK0)
        & in(sK1,relation_dom(sK2)) )
      | in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))) )
    & function(sK2)
    & relation(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f69,f70]) ).

fof(f70,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ in(X1,X0)
          | ~ in(X1,relation_dom(X2))
          | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
        & ( ( in(X1,X0)
            & in(X1,relation_dom(X2)) )
          | in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
        & function(X2)
        & relation(X2) )
   => ( ( ~ in(sK1,sK0)
        | ~ in(sK1,relation_dom(sK2))
        | ~ in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))) )
      & ( ( in(sK1,sK0)
          & in(sK1,relation_dom(sK2)) )
        | in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))) )
      & function(sK2)
      & relation(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X1,X0)
        | ~ in(X1,relation_dom(X2))
        | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
      & ( ( in(X1,X0)
          & in(X1,relation_dom(X2)) )
        | in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X1,X0)
        | ~ in(X1,relation_dom(X2))
        | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
      & ( ( in(X1,X0)
          & in(X1,relation_dom(X2)) )
        | in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
      & function(X2)
      & relation(X2) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ? [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <~> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) )
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ? [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <~> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) )
      & function(X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( function(X2)
          & relation(X2) )
       => ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
        <=> ( in(X1,X0)
            & in(X1,relation_dom(X2)) ) ) ),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <=> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ozIAY8kBPb/Vampire---4.8_24989',l82_funct_1) ).

fof(f364,plain,
    ( in(sK1,set_intersection2(relation_dom(sK2),sK0))
    | ~ function(sK2)
    | ~ spl14_1 ),
    inference(subsumption_resolution,[],[f362,f100]) ).

fof(f100,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f71]) ).

fof(f362,plain,
    ( in(sK1,set_intersection2(relation_dom(sK2),sK0))
    | ~ relation(sK2)
    | ~ function(sK2)
    | ~ spl14_1 ),
    inference(superposition,[],[f166,f270]) ).

fof(f270,plain,
    ! [X0,X1] :
      ( set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(subsumption_resolution,[],[f269,f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_dom_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ozIAY8kBPb/Vampire---4.8_24989',dt_k7_relat_1) ).

fof(f269,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1))
      | ~ relation(relation_dom_restriction(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1))
      | ~ relation(relation_dom_restriction(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(resolution,[],[f160,f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( function(relation_dom_restriction(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( function(X0)
        & relation(X0) )
     => ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ozIAY8kBPb/Vampire---4.8_24989',fc4_funct_1) ).

fof(f160,plain,
    ! [X2,X0] :
      ( ~ function(relation_dom_restriction(X2,X0))
      | ~ function(X2)
      | ~ relation(X2)
      | relation_dom(relation_dom_restriction(X2,X0)) = set_intersection2(relation_dom(X2),X0)
      | ~ relation(relation_dom_restriction(X2,X0)) ),
    inference(equality_resolution,[],[f106]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
      | relation_dom_restriction(X2,X0) != X1
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom_restriction(X2,X0) = X1
              | ( apply(X1,sK3(X1,X2)) != apply(X2,sK3(X1,X2))
                & in(sK3(X1,X2),relation_dom(X1)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
            & ( ( ! [X4] :
                    ( apply(X1,X4) = apply(X2,X4)
                    | ~ in(X4,relation_dom(X1)) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f74,f75]) ).

fof(f75,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( apply(X1,X3) != apply(X2,X3)
          & in(X3,relation_dom(X1)) )
     => ( apply(X1,sK3(X1,X2)) != apply(X2,sK3(X1,X2))
        & in(sK3(X1,X2),relation_dom(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom_restriction(X2,X0) = X1
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
            & ( ( ! [X4] :
                    ( apply(X1,X4) = apply(X2,X4)
                    | ~ in(X4,relation_dom(X1)) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom_restriction(X2,X0) = X1
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
            & ( ( ! [X3] :
                    ( apply(X1,X3) = apply(X2,X3)
                    | ~ in(X3,relation_dom(X1)) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom_restriction(X2,X0) = X1
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
            & ( ( ! [X3] :
                    ( apply(X1,X3) = apply(X2,X3)
                    | ~ in(X3,relation_dom(X1)) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( relation_dom_restriction(X2,X0) = X1
          <=> ( ! [X3] :
                  ( apply(X1,X3) = apply(X2,X3)
                  | ~ in(X3,relation_dom(X1)) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( relation_dom_restriction(X2,X0) = X1
          <=> ( ! [X3] :
                  ( apply(X1,X3) = apply(X2,X3)
                  | ~ in(X3,relation_dom(X1)) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( relation_dom_restriction(X2,X0) = X1
          <=> ( ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X1,X3) = apply(X2,X3) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ozIAY8kBPb/Vampire---4.8_24989',t68_funct_1) ).

fof(f166,plain,
    ( in(sK1,relation_dom(relation_dom_restriction(sK2,sK0)))
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f401,plain,
    ( spl14_2
    | ~ spl14_1 ),
    inference(avatar_split_clause,[],[f394,f165,f169]) ).

fof(f169,plain,
    ( spl14_2
  <=> in(sK1,relation_dom(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f394,plain,
    ( in(sK1,relation_dom(sK2))
    | ~ spl14_1 ),
    inference(resolution,[],[f366,f162]) ).

fof(f162,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X1) ),
    inference(equality_resolution,[],[f113]) ).

fof(f113,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f354,plain,
    ( spl14_1
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | spl14_1
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(subsumption_resolution,[],[f352,f245]) ).

fof(f245,plain,
    ( in(sK1,set_intersection2(sK0,relation_dom(sK2)))
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(forward_demodulation,[],[f243,f148]) ).

fof(f243,plain,
    ( in(sK1,set_intersection2(relation_dom(sK2),sK0))
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(resolution,[],[f239,f170]) ).

fof(f170,plain,
    ( in(sK1,relation_dom(sK2))
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f239,plain,
    ( ! [X0] :
        ( ~ in(sK1,X0)
        | in(sK1,set_intersection2(X0,sK0)) )
    | ~ spl14_3 ),
    inference(resolution,[],[f161,f174]) ).

fof(f174,plain,
    ( in(sK1,sK0)
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f161,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,X1)
      | in(X4,set_intersection2(X0,X1))
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f114]) ).

fof(f114,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | ~ in(X4,X0)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f352,plain,
    ( ~ in(sK1,set_intersection2(sK0,relation_dom(sK2)))
    | spl14_1 ),
    inference(forward_demodulation,[],[f351,f148]) ).

fof(f351,plain,
    ( ~ in(sK1,set_intersection2(relation_dom(sK2),sK0))
    | spl14_1 ),
    inference(subsumption_resolution,[],[f350,f101]) ).

fof(f350,plain,
    ( ~ in(sK1,set_intersection2(relation_dom(sK2),sK0))
    | ~ function(sK2)
    | spl14_1 ),
    inference(subsumption_resolution,[],[f345,f100]) ).

fof(f345,plain,
    ( ~ in(sK1,set_intersection2(relation_dom(sK2),sK0))
    | ~ relation(sK2)
    | ~ function(sK2)
    | spl14_1 ),
    inference(superposition,[],[f167,f270]) ).

fof(f167,plain,
    ( ~ in(sK1,relation_dom(relation_dom_restriction(sK2,sK0)))
    | spl14_1 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f178,plain,
    ( spl14_1
    | spl14_2 ),
    inference(avatar_split_clause,[],[f102,f169,f165]) ).

fof(f102,plain,
    ( in(sK1,relation_dom(sK2))
    | in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f177,plain,
    ( spl14_1
    | spl14_3 ),
    inference(avatar_split_clause,[],[f103,f173,f165]) ).

fof(f103,plain,
    ( in(sK1,sK0)
    | in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f176,plain,
    ( ~ spl14_1
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(avatar_split_clause,[],[f104,f173,f169,f165]) ).

fof(f104,plain,
    ( ~ in(sK1,sK0)
    | ~ in(sK1,relation_dom(sK2))
    | ~ in(sK1,relation_dom(relation_dom_restriction(sK2,sK0))) ),
    inference(cnf_transformation,[],[f71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SEU224+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.10  % 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
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Tue Apr 30 16:17:06 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.30  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.ozIAY8kBPb/Vampire---4.8_24989
% 0.40/0.58  % (25367)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 (2997ds/56Mi)
% 0.40/0.58  % (25365)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.40/0.58  % (25364)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 (2997ds/34Mi)
% 0.40/0.58  % (25363)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.40/0.58  % (25362)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.40/0.58  % (25361)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 (2997ds/51Mi)
% 0.40/0.58  % (25365)Refutation not found, incomplete strategy% (25365)------------------------------
% 0.40/0.58  % (25365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.40/0.58  % (25365)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.58  % (25367)Refutation not found, incomplete strategy% (25367)------------------------------
% 0.40/0.58  % (25367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.40/0.58  % (25367)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.58  
% 0.40/0.58  % (25367)Memory used [KB]: 979
% 0.40/0.58  % (25367)Time elapsed: 0.002 s
% 0.40/0.58  % (25367)Instructions burned: 3 (million)
% 0.40/0.58  % (25367)------------------------------
% 0.40/0.58  % (25367)------------------------------
% 0.40/0.58  
% 0.40/0.58  % (25365)Memory used [KB]: 977
% 0.40/0.58  % (25365)Time elapsed: 0.002 s
% 0.40/0.58  % (25365)Instructions burned: 3 (million)
% 0.40/0.58  % (25365)------------------------------
% 0.40/0.58  % (25365)------------------------------
% 0.40/0.58  % (25360)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 (2997ds/34Mi)
% 0.40/0.58  % (25366)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 (2997ds/83Mi)
% 0.40/0.58  % (25364)Refutation not found, incomplete strategy% (25364)------------------------------
% 0.40/0.58  % (25364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.40/0.58  % (25364)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.58  
% 0.40/0.58  % (25364)Memory used [KB]: 1057
% 0.40/0.58  % (25364)Time elapsed: 0.002 s
% 0.40/0.58  % (25364)Instructions burned: 4 (million)
% 0.40/0.58  % (25364)------------------------------
% 0.40/0.58  % (25364)------------------------------
% 0.40/0.59  % (25371)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 (2997ds/55Mi)
% 0.40/0.59  % (25372)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 (2997ds/50Mi)
% 0.40/0.59  % (25373)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 (2997ds/208Mi)
% 0.42/0.59  % (25363)Instruction limit reached!
% 0.42/0.59  % (25363)------------------------------
% 0.42/0.59  % (25363)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.42/0.59  % (25363)Termination reason: Unknown
% 0.42/0.59  % (25363)Termination phase: Saturation
% 0.42/0.59  
% 0.42/0.59  % (25363)Memory used [KB]: 1338
% 0.42/0.59  % (25363)Time elapsed: 0.012 s
% 0.42/0.59  % (25363)Instructions burned: 35 (million)
% 0.42/0.59  % (25363)------------------------------
% 0.42/0.59  % (25363)------------------------------
% 0.42/0.59  % (25362)First to succeed.
% 0.42/0.60  % (25380)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 (2997ds/52Mi)
% 0.42/0.60  % (25362)Refutation found. Thanks to Tanya!
% 0.42/0.60  % SZS status Theorem for Vampire---4
% 0.42/0.60  % SZS output start Proof for Vampire---4
% See solution above
% 0.42/0.60  % (25362)------------------------------
% 0.42/0.60  % (25362)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.42/0.60  % (25362)Termination reason: Refutation
% 0.42/0.60  
% 0.42/0.60  % (25362)Memory used [KB]: 1180
% 0.42/0.60  % (25362)Time elapsed: 0.015 s
% 0.42/0.60  % (25362)Instructions burned: 22 (million)
% 0.42/0.60  % (25362)------------------------------
% 0.42/0.60  % (25362)------------------------------
% 0.42/0.60  % (25236)Success in time 0.294 s
% 0.42/0.60  % Vampire---4.8 exiting
%------------------------------------------------------------------------------