TSTP Solution File: SEU044+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n018.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 18:26:26 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   71 (   6 unt;   0 def)
%            Number of atoms       :  335 (  25 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  403 ( 139   ~; 144   |;  86   &)
%                                         (  17 <=>;  15  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :  135 ( 112   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f683,plain,
    $false,
    inference(avatar_sat_refutation,[],[f199,f200,f201,f364,f568,f682]) ).

fof(f682,plain,
    ( ~ spl18_1
    | ~ spl18_2
    | spl18_3 ),
    inference(avatar_contradiction_clause,[],[f681]) ).

fof(f681,plain,
    ( $false
    | ~ spl18_1
    | ~ spl18_2
    | spl18_3 ),
    inference(subsumption_resolution,[],[f672,f308]) ).

fof(f308,plain,
    ! [X0,X1] : sP1(relation_rng_restriction(X0,sK16),sK16,X1),
    inference(unit_resulting_resolution,[],[f172,f173,f202,f219,f164]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( sP1(X0,X2,X1)
      | ~ relation(X0)
      | ~ function(X0)
      | ~ function(X2)
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ! [X2] :
          ( ~ function(X2)
          | sP1(X0,X2,X1)
          | ~ relation(X2) )
      | ~ function(X0) ),
    inference(definition_folding,[],[f62,f78,f77]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ( ! [X4] :
            ( apply(X0,X4) = apply(X2,X4)
            | ~ in(X4,relation_dom(X0)) )
        & ! [X3] :
            ( ( in(apply(X2,X3),X1)
              & in(X3,relation_dom(X2)) )
          <=> in(X3,relation_dom(X0)) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f78,plain,
    ! [X0,X2,X1] :
      ( ( sP0(X2,X0,X1)
      <=> relation_rng_restriction(X1,X2) = X0 )
      | ~ sP1(X0,X2,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ! [X2] :
          ( ~ function(X2)
          | ( ( ! [X4] :
                  ( apply(X0,X4) = apply(X2,X4)
                  | ~ in(X4,relation_dom(X0)) )
              & ! [X3] :
                  ( ( in(apply(X2,X3),X1)
                    & in(X3,relation_dom(X2)) )
                <=> in(X3,relation_dom(X0)) ) )
          <=> relation_rng_restriction(X1,X2) = X0 )
          | ~ relation(X2) )
      | ~ function(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( ! [X4] :
                  ( apply(X0,X4) = apply(X2,X4)
                  | ~ in(X4,relation_dom(X0)) )
              & ! [X3] :
                  ( ( in(apply(X2,X3),X1)
                    & in(X3,relation_dom(X2)) )
                <=> in(X3,relation_dom(X0)) ) )
          <=> relation_rng_restriction(X1,X2) = X0 )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( ( ! [X3] :
                  ( ( in(apply(X2,X3),X1)
                    & in(X3,relation_dom(X2)) )
                <=> in(X3,relation_dom(X0)) )
              & ! [X4] :
                  ( in(X4,relation_dom(X0))
                 => apply(X0,X4) = apply(X2,X4) ) )
          <=> relation_rng_restriction(X1,X2) = X0 ) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X1,X0] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( ( ! [X3] :
                  ( in(X3,relation_dom(X1))
                <=> ( in(X3,relation_dom(X2))
                    & in(apply(X2,X3),X0) ) )
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X2,X3) = apply(X1,X3) ) )
          <=> relation_rng_restriction(X0,X2) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).

fof(f219,plain,
    ! [X0] : function(relation_rng_restriction(X0,sK16)),
    inference(unit_resulting_resolution,[],[f172,f173,f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ function(X1)
      | function(relation_rng_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) )
      | ~ function(X1) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( function(relation_rng_restriction(X0,X1))
        & relation(relation_rng_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).

fof(f202,plain,
    ! [X0] : relation(relation_rng_restriction(X0,sK16)),
    inference(unit_resulting_resolution,[],[f172,f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X1,X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X1,X0))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X1,X0] :
      ( relation(X0)
     => relation(relation_rng_restriction(X1,X0)) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X1,X0] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

fof(f173,plain,
    function(sK16),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ( ~ in(sK14,relation_dom(relation_rng_restriction(sK15,sK16)))
      | ~ in(apply(sK16,sK14),sK15)
      | ~ in(sK14,relation_dom(sK16)) )
    & ( in(sK14,relation_dom(relation_rng_restriction(sK15,sK16)))
      | ( in(apply(sK16,sK14),sK15)
        & in(sK14,relation_dom(sK16)) ) )
    & function(sK16)
    & relation(sK16) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f114,f115]) ).

fof(f115,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ in(X0,relation_dom(relation_rng_restriction(X1,X2)))
          | ~ in(apply(X2,X0),X1)
          | ~ in(X0,relation_dom(X2)) )
        & ( in(X0,relation_dom(relation_rng_restriction(X1,X2)))
          | ( in(apply(X2,X0),X1)
            & in(X0,relation_dom(X2)) ) )
        & function(X2)
        & relation(X2) )
   => ( ( ~ in(sK14,relation_dom(relation_rng_restriction(sK15,sK16)))
        | ~ in(apply(sK16,sK14),sK15)
        | ~ in(sK14,relation_dom(sK16)) )
      & ( in(sK14,relation_dom(relation_rng_restriction(sK15,sK16)))
        | ( in(apply(sK16,sK14),sK15)
          & in(sK14,relation_dom(sK16)) ) )
      & function(sK16)
      & relation(sK16) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X0,relation_dom(relation_rng_restriction(X1,X2)))
        | ~ in(apply(X2,X0),X1)
        | ~ in(X0,relation_dom(X2)) )
      & ( in(X0,relation_dom(relation_rng_restriction(X1,X2)))
        | ( in(apply(X2,X0),X1)
          & in(X0,relation_dom(X2)) ) )
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X0,relation_dom(relation_rng_restriction(X1,X2)))
        | ~ in(apply(X2,X0),X1)
        | ~ in(X0,relation_dom(X2)) )
      & ( in(X0,relation_dom(relation_rng_restriction(X1,X2)))
        | ( in(apply(X2,X0),X1)
          & in(X0,relation_dom(X2)) ) )
      & function(X2)
      & relation(X2) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ? [X0,X1,X2] :
      ( ( ( in(apply(X2,X0),X1)
          & in(X0,relation_dom(X2)) )
      <~> in(X0,relation_dom(relation_rng_restriction(X1,X2))) )
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ? [X2,X1,X0] :
      ( ( ( in(apply(X2,X0),X1)
          & in(X0,relation_dom(X2)) )
      <~> in(X0,relation_dom(relation_rng_restriction(X1,X2))) )
      & function(X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ~ ! [X2,X1,X0] :
        ( ( function(X2)
          & relation(X2) )
       => ( ( in(apply(X2,X0),X1)
            & in(X0,relation_dom(X2)) )
        <=> in(X0,relation_dom(relation_rng_restriction(X1,X2))) ) ),
    inference(rectify,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ! [X1,X0,X2] :
        ( ( function(X2)
          & relation(X2) )
       => ( ( in(X1,relation_dom(X2))
            & in(apply(X2,X1),X0) )
        <=> in(X1,relation_dom(relation_rng_restriction(X0,X2))) ) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ! [X1,X0,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( ( in(X1,relation_dom(X2))
          & in(apply(X2,X1),X0) )
      <=> in(X1,relation_dom(relation_rng_restriction(X0,X2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).

fof(f172,plain,
    relation(sK16),
    inference(cnf_transformation,[],[f116]) ).

fof(f672,plain,
    ( ~ sP1(relation_rng_restriction(sK15,sK16),sK16,sK15)
    | ~ spl18_1
    | ~ spl18_2
    | spl18_3 ),
    inference(unit_resulting_resolution,[],[f591,f186]) ).

fof(f186,plain,
    ! [X2,X1] :
      ( ~ sP1(relation_rng_restriction(X2,X1),X1,X2)
      | sP0(X1,relation_rng_restriction(X2,X1),X2) ),
    inference(equality_resolution,[],[f153]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( sP0(X1,X0,X2)
      | relation_rng_restriction(X2,X1) != X0
      | ~ sP1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ( ( sP0(X1,X0,X2)
          | relation_rng_restriction(X2,X1) != X0 )
        & ( relation_rng_restriction(X2,X1) = X0
          | ~ sP0(X1,X0,X2) ) )
      | ~ sP1(X0,X1,X2) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ! [X0,X2,X1] :
      ( ( ( sP0(X2,X0,X1)
          | relation_rng_restriction(X1,X2) != X0 )
        & ( relation_rng_restriction(X1,X2) = X0
          | ~ sP0(X2,X0,X1) ) )
      | ~ sP1(X0,X2,X1) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f591,plain,
    ( ~ sP0(sK16,relation_rng_restriction(sK15,sK16),sK15)
    | ~ spl18_1
    | ~ spl18_2
    | spl18_3 ),
    inference(unit_resulting_resolution,[],[f189,f193,f198,f154]) ).

fof(f154,plain,
    ! [X2,X0,X1,X6] :
      ( ~ in(apply(X0,X6),X2)
      | ~ in(X6,relation_dom(X0))
      | ~ sP0(X0,X1,X2)
      | in(X6,relation_dom(X1)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( apply(X0,sK9(X0,X1)) != apply(X1,sK9(X0,X1))
          & in(sK9(X0,X1),relation_dom(X1)) )
        | ( ( ~ in(sK10(X0,X1,X2),relation_dom(X1))
            | ~ in(apply(X0,sK10(X0,X1,X2)),X2)
            | ~ in(sK10(X0,X1,X2),relation_dom(X0)) )
          & ( in(sK10(X0,X1,X2),relation_dom(X1))
            | ( in(apply(X0,sK10(X0,X1,X2)),X2)
              & in(sK10(X0,X1,X2),relation_dom(X0)) ) ) ) )
      & ( ( ! [X5] :
              ( apply(X0,X5) = apply(X1,X5)
              | ~ in(X5,relation_dom(X1)) )
          & ! [X6] :
              ( ( ( in(apply(X0,X6),X2)
                  & in(X6,relation_dom(X0)) )
                | ~ in(X6,relation_dom(X1)) )
              & ( in(X6,relation_dom(X1))
                | ~ in(apply(X0,X6),X2)
                | ~ in(X6,relation_dom(X0)) ) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f103,f105,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( apply(X1,X3) != apply(X0,X3)
          & in(X3,relation_dom(X1)) )
     => ( apply(X0,sK9(X0,X1)) != apply(X1,sK9(X0,X1))
        & in(sK9(X0,X1),relation_dom(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(X4,relation_dom(X1))
            | ~ in(apply(X0,X4),X2)
            | ~ in(X4,relation_dom(X0)) )
          & ( in(X4,relation_dom(X1))
            | ( in(apply(X0,X4),X2)
              & in(X4,relation_dom(X0)) ) ) )
     => ( ( ~ in(sK10(X0,X1,X2),relation_dom(X1))
          | ~ in(apply(X0,sK10(X0,X1,X2)),X2)
          | ~ in(sK10(X0,X1,X2),relation_dom(X0)) )
        & ( in(sK10(X0,X1,X2),relation_dom(X1))
          | ( in(apply(X0,sK10(X0,X1,X2)),X2)
            & in(sK10(X0,X1,X2),relation_dom(X0)) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ? [X3] :
            ( apply(X1,X3) != apply(X0,X3)
            & in(X3,relation_dom(X1)) )
        | ? [X4] :
            ( ( ~ in(X4,relation_dom(X1))
              | ~ in(apply(X0,X4),X2)
              | ~ in(X4,relation_dom(X0)) )
            & ( in(X4,relation_dom(X1))
              | ( in(apply(X0,X4),X2)
                & in(X4,relation_dom(X0)) ) ) ) )
      & ( ( ! [X5] :
              ( apply(X0,X5) = apply(X1,X5)
              | ~ in(X5,relation_dom(X1)) )
          & ! [X6] :
              ( ( ( in(apply(X0,X6),X2)
                  & in(X6,relation_dom(X0)) )
                | ~ in(X6,relation_dom(X1)) )
              & ( in(X6,relation_dom(X1))
                | ~ in(apply(X0,X6),X2)
                | ~ in(X6,relation_dom(X0)) ) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f102]) ).

fof(f102,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ? [X4] :
            ( apply(X0,X4) != apply(X2,X4)
            & in(X4,relation_dom(X0)) )
        | ? [X3] :
            ( ( ~ in(X3,relation_dom(X0))
              | ~ in(apply(X2,X3),X1)
              | ~ in(X3,relation_dom(X2)) )
            & ( in(X3,relation_dom(X0))
              | ( in(apply(X2,X3),X1)
                & in(X3,relation_dom(X2)) ) ) ) )
      & ( ( ! [X4] :
              ( apply(X0,X4) = apply(X2,X4)
              | ~ in(X4,relation_dom(X0)) )
          & ! [X3] :
              ( ( ( in(apply(X2,X3),X1)
                  & in(X3,relation_dom(X2)) )
                | ~ in(X3,relation_dom(X0)) )
              & ( in(X3,relation_dom(X0))
                | ~ in(apply(X2,X3),X1)
                | ~ in(X3,relation_dom(X2)) ) ) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ? [X4] :
            ( apply(X0,X4) != apply(X2,X4)
            & in(X4,relation_dom(X0)) )
        | ? [X3] :
            ( ( ~ in(X3,relation_dom(X0))
              | ~ in(apply(X2,X3),X1)
              | ~ in(X3,relation_dom(X2)) )
            & ( in(X3,relation_dom(X0))
              | ( in(apply(X2,X3),X1)
                & in(X3,relation_dom(X2)) ) ) ) )
      & ( ( ! [X4] :
              ( apply(X0,X4) = apply(X2,X4)
              | ~ in(X4,relation_dom(X0)) )
          & ! [X3] :
              ( ( ( in(apply(X2,X3),X1)
                  & in(X3,relation_dom(X2)) )
                | ~ in(X3,relation_dom(X0)) )
              & ( in(X3,relation_dom(X0))
                | ~ in(apply(X2,X3),X1)
                | ~ in(X3,relation_dom(X2)) ) ) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f198,plain,
    ( ~ in(sK14,relation_dom(relation_rng_restriction(sK15,sK16)))
    | spl18_3 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl18_3
  <=> in(sK14,relation_dom(relation_rng_restriction(sK15,sK16))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).

fof(f193,plain,
    ( in(sK14,relation_dom(sK16))
    | ~ spl18_2 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl18_2
  <=> in(sK14,relation_dom(sK16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

fof(f189,plain,
    ( in(apply(sK16,sK14),sK15)
    | ~ spl18_1 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f188,plain,
    ( spl18_1
  <=> in(apply(sK16,sK14),sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

fof(f568,plain,
    ( spl18_2
    | ~ spl18_3 ),
    inference(avatar_contradiction_clause,[],[f567]) ).

fof(f567,plain,
    ( $false
    | spl18_2
    | ~ spl18_3 ),
    inference(subsumption_resolution,[],[f558,f308]) ).

fof(f558,plain,
    ( ~ sP1(relation_rng_restriction(sK15,sK16),sK16,sK15)
    | spl18_2
    | ~ spl18_3 ),
    inference(unit_resulting_resolution,[],[f366,f186]) ).

fof(f366,plain,
    ( ! [X0] : ~ sP0(sK16,relation_rng_restriction(sK15,sK16),X0)
    | spl18_2
    | ~ spl18_3 ),
    inference(unit_resulting_resolution,[],[f197,f194,f155]) ).

fof(f155,plain,
    ! [X2,X0,X1,X6] :
      ( in(X6,relation_dom(X0))
      | ~ sP0(X0,X1,X2)
      | ~ in(X6,relation_dom(X1)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f194,plain,
    ( ~ in(sK14,relation_dom(sK16))
    | spl18_2 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f197,plain,
    ( in(sK14,relation_dom(relation_rng_restriction(sK15,sK16)))
    | ~ spl18_3 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f364,plain,
    ( spl18_1
    | ~ spl18_3 ),
    inference(avatar_contradiction_clause,[],[f363]) ).

fof(f363,plain,
    ( $false
    | spl18_1
    | ~ spl18_3 ),
    inference(subsumption_resolution,[],[f354,f308]) ).

fof(f354,plain,
    ( ~ sP1(relation_rng_restriction(sK15,sK16),sK16,sK15)
    | spl18_1
    | ~ spl18_3 ),
    inference(unit_resulting_resolution,[],[f266,f186]) ).

fof(f266,plain,
    ( ~ sP0(sK16,relation_rng_restriction(sK15,sK16),sK15)
    | spl18_1
    | ~ spl18_3 ),
    inference(unit_resulting_resolution,[],[f190,f197,f156]) ).

fof(f156,plain,
    ! [X2,X0,X1,X6] :
      ( in(apply(X0,X6),X2)
      | ~ in(X6,relation_dom(X1))
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f190,plain,
    ( ~ in(apply(sK16,sK14),sK15)
    | spl18_1 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f201,plain,
    ( spl18_3
    | spl18_1 ),
    inference(avatar_split_clause,[],[f175,f188,f196]) ).

fof(f175,plain,
    ( in(apply(sK16,sK14),sK15)
    | in(sK14,relation_dom(relation_rng_restriction(sK15,sK16))) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f200,plain,
    ( spl18_2
    | spl18_3 ),
    inference(avatar_split_clause,[],[f174,f196,f192]) ).

fof(f174,plain,
    ( in(sK14,relation_dom(relation_rng_restriction(sK15,sK16)))
    | in(sK14,relation_dom(sK16)) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f199,plain,
    ( ~ spl18_1
    | ~ spl18_2
    | ~ spl18_3 ),
    inference(avatar_split_clause,[],[f176,f196,f192,f188]) ).

fof(f176,plain,
    ( ~ in(sK14,relation_dom(relation_rng_restriction(sK15,sK16)))
    | ~ in(sK14,relation_dom(sK16))
    | ~ in(apply(sK16,sK14),sK15) ),
    inference(cnf_transformation,[],[f116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:44:40 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  % (29514)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)
% 0.20/0.50  % (29522)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)
% 0.20/0.51  % (29522)Instruction limit reached!
% 0.20/0.51  % (29522)------------------------------
% 0.20/0.51  % (29522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (29522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (29522)Termination reason: Unknown
% 0.20/0.51  % (29522)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (29522)Memory used [KB]: 6140
% 0.20/0.51  % (29522)Time elapsed: 0.082 s
% 0.20/0.51  % (29522)Instructions burned: 7 (million)
% 0.20/0.51  % (29522)------------------------------
% 0.20/0.51  % (29522)------------------------------
% 0.20/0.51  % (29514)First to succeed.
% 0.20/0.52  % (29514)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (29514)------------------------------
% 0.20/0.52  % (29514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (29514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (29514)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (29514)Memory used [KB]: 6268
% 0.20/0.52  % (29514)Time elapsed: 0.073 s
% 0.20/0.52  % (29514)Instructions burned: 17 (million)
% 0.20/0.52  % (29514)------------------------------
% 0.20/0.52  % (29514)------------------------------
% 0.20/0.52  % (29506)Success in time 0.156 s
%------------------------------------------------------------------------------