TSTP Solution File: SEU003+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU003+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 : n029.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 18:26:18 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   76 (  12 unt;   0 def)
%            Number of atoms       :  342 (  46 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  415 ( 149   ~; 147   |;  82   &)
%                                         (  19 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :  124 (  99   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f445,plain,
    $false,
    inference(avatar_sat_refutation,[],[f274,f289,f347,f349,f362,f381,f422,f444]) ).

fof(f444,plain,
    ~ spl15_22,
    inference(avatar_contradiction_clause,[],[f442]) ).

fof(f442,plain,
    ( $false
    | ~ spl15_22 ),
    inference(resolution,[],[f437,f152]) ).

fof(f152,plain,
    ~ subset(relation_rng(sK5),relation_dom(sK4)),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( relation(sK4)
    & function(sK5)
    & ~ subset(relation_rng(sK5),relation_dom(sK4))
    & relation(sK5)
    & relation_dom(relation_composition(sK5,sK4)) = relation_dom(sK5)
    & function(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f72,f101,f100]) ).

fof(f100,plain,
    ( ? [X0] :
        ( relation(X0)
        & ? [X1] :
            ( function(X1)
            & ~ subset(relation_rng(X1),relation_dom(X0))
            & relation(X1)
            & relation_dom(X1) = relation_dom(relation_composition(X1,X0)) )
        & function(X0) )
   => ( relation(sK4)
      & ? [X1] :
          ( function(X1)
          & ~ subset(relation_rng(X1),relation_dom(sK4))
          & relation(X1)
          & relation_dom(X1) = relation_dom(relation_composition(X1,sK4)) )
      & function(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ( ? [X1] :
        ( function(X1)
        & ~ subset(relation_rng(X1),relation_dom(sK4))
        & relation(X1)
        & relation_dom(X1) = relation_dom(relation_composition(X1,sK4)) )
   => ( function(sK5)
      & ~ subset(relation_rng(sK5),relation_dom(sK4))
      & relation(sK5)
      & relation_dom(relation_composition(sK5,sK4)) = relation_dom(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ? [X0] :
      ( relation(X0)
      & ? [X1] :
          ( function(X1)
          & ~ subset(relation_rng(X1),relation_dom(X0))
          & relation(X1)
          & relation_dom(X1) = relation_dom(relation_composition(X1,X0)) )
      & function(X0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ subset(relation_rng(X1),relation_dom(X0))
          & relation_dom(X1) = relation_dom(relation_composition(X1,X0))
          & function(X1)
          & relation(X1) )
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f31]) ).

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

fof(f30,conjecture,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1] :
          ( ( function(X1)
            & relation(X1) )
         => ( relation_dom(X1) = relation_dom(relation_composition(X1,X0))
           => subset(relation_rng(X1),relation_dom(X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_funct_1) ).

fof(f437,plain,
    ( subset(relation_rng(sK5),relation_dom(sK4))
    | ~ spl15_22 ),
    inference(duplicate_literal_removal,[],[f435]) ).

fof(f435,plain,
    ( subset(relation_rng(sK5),relation_dom(sK4))
    | subset(relation_rng(sK5),relation_dom(sK4))
    | ~ spl15_22 ),
    inference(resolution,[],[f424,f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ in(sK6(X0,X1),X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X1)
            | in(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ( in(sK6(X0,X1),X1)
          & ~ in(sK6(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f105,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( in(X3,X1)
          & ~ in(X3,X0) )
     => ( in(sK6(X0,X1),X1)
        & ~ in(sK6(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X1)
            | in(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X3] :
            ( in(X3,X1)
            & ~ in(X3,X0) ) ) ),
    inference(rectify,[],[f104]) ).

fof(f104,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) )
    <=> subset(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f424,plain,
    ( ! [X1] :
        ( in(sK6(X1,relation_rng(sK5)),relation_dom(sK4))
        | subset(relation_rng(sK5),X1) )
    | ~ spl15_22 ),
    inference(resolution,[],[f421,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f421,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_rng(sK5))
        | in(X0,relation_dom(sK4)) )
    | ~ spl15_22 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl15_22
  <=> ! [X0] :
        ( ~ in(X0,relation_rng(sK5))
        | in(X0,relation_dom(sK4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f422,plain,
    ( ~ spl15_7
    | ~ spl15_12
    | spl15_22
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f418,f379,f420,f325,f280]) ).

fof(f280,plain,
    ( spl15_7
  <=> relation(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f325,plain,
    ( spl15_12
  <=> function(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f379,plain,
    ( spl15_17
  <=> ! [X0] :
        ( ~ in(sK12(sK5,X0),relation_dom(sK5))
        | ~ in(X0,relation_rng(sK5))
        | in(X0,relation_dom(sK4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f418,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_rng(sK5))
        | ~ function(sK5)
        | ~ relation(sK5)
        | in(X0,relation_dom(sK4)) )
    | ~ spl15_17 ),
    inference(duplicate_literal_removal,[],[f417]) ).

fof(f417,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_rng(sK5))
        | ~ function(sK5)
        | ~ in(X0,relation_rng(sK5))
        | ~ relation(sK5)
        | in(X0,relation_dom(sK4)) )
    | ~ spl15_17 ),
    inference(resolution,[],[f380,f190]) ).

fof(f190,plain,
    ! [X2,X0] :
      ( in(sK12(X0,X2),relation_dom(X0))
      | ~ in(X2,relation_rng(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f187]) ).

fof(f187,plain,
    ! [X2,X0,X1] :
      ( in(sK12(X0,X2),relation_dom(X0))
      | ~ in(X2,X1)
      | relation_rng(X0) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( ( apply(X0,sK12(X0,X2)) = X2
                    & in(sK12(X0,X2),relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] :
                      ( apply(X0,X4) != X2
                      | ~ in(X4,relation_dom(X0)) ) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ( ( ~ in(sK13(X0,X1),X1)
                | ! [X6] :
                    ( apply(X0,X6) != sK13(X0,X1)
                    | ~ in(X6,relation_dom(X0)) ) )
              & ( in(sK13(X0,X1),X1)
                | ( apply(X0,sK14(X0,X1)) = sK13(X0,X1)
                  & in(sK14(X0,X1),relation_dom(X0)) ) ) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f120,f123,f122,f121]) ).

fof(f121,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( apply(X0,X3) = X2
          & in(X3,relation_dom(X0)) )
     => ( apply(X0,sK12(X0,X2)) = X2
        & in(sK12(X0,X2),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ~ in(X5,X1)
            | ! [X6] :
                ( apply(X0,X6) != X5
                | ~ in(X6,relation_dom(X0)) ) )
          & ( in(X5,X1)
            | ? [X7] :
                ( apply(X0,X7) = X5
                & in(X7,relation_dom(X0)) ) ) )
     => ( ( ~ in(sK13(X0,X1),X1)
          | ! [X6] :
              ( apply(X0,X6) != sK13(X0,X1)
              | ~ in(X6,relation_dom(X0)) ) )
        & ( in(sK13(X0,X1),X1)
          | ? [X7] :
              ( apply(X0,X7) = sK13(X0,X1)
              & in(X7,relation_dom(X0)) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ? [X7] :
          ( apply(X0,X7) = sK13(X0,X1)
          & in(X7,relation_dom(X0)) )
     => ( apply(X0,sK14(X0,X1)) = sK13(X0,X1)
        & in(sK14(X0,X1),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] :
                      ( apply(X0,X4) != X2
                      | ~ in(X4,relation_dom(X0)) ) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X5] :
                ( ( ~ in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( in(X5,X1)
                  | ? [X7] :
                      ( apply(X0,X7) = X5
                      & in(X7,relation_dom(X0)) ) ) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) )
                & ( in(X2,X1)
                  | ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) ) ) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) )
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) )
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) )
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).

fof(f380,plain,
    ( ! [X0] :
        ( ~ in(sK12(sK5,X0),relation_dom(sK5))
        | ~ in(X0,relation_rng(sK5))
        | in(X0,relation_dom(sK4)) )
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f381,plain,
    ( ~ spl15_12
    | ~ spl15_7
    | spl15_17
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f370,f345,f379,f280,f325]) ).

fof(f345,plain,
    ( spl15_14
  <=> ! [X0] :
        ( ~ in(X0,relation_dom(sK5))
        | in(apply(sK5,X0),relation_dom(sK4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f370,plain,
    ( ! [X0] :
        ( ~ in(sK12(sK5,X0),relation_dom(sK5))
        | in(X0,relation_dom(sK4))
        | ~ relation(sK5)
        | ~ in(X0,relation_rng(sK5))
        | ~ function(sK5) )
    | ~ spl15_14 ),
    inference(superposition,[],[f346,f189]) ).

fof(f189,plain,
    ! [X2,X0] :
      ( apply(X0,sK12(X0,X2)) = X2
      | ~ in(X2,relation_rng(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f188]) ).

fof(f188,plain,
    ! [X2,X0,X1] :
      ( apply(X0,sK12(X0,X2)) = X2
      | ~ in(X2,X1)
      | relation_rng(X0) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f346,plain,
    ( ! [X0] :
        ( in(apply(sK5,X0),relation_dom(sK4))
        | ~ in(X0,relation_dom(sK5)) )
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f362,plain,
    spl15_12,
    inference(avatar_contradiction_clause,[],[f361]) ).

fof(f361,plain,
    ( $false
    | spl15_12 ),
    inference(resolution,[],[f327,f153]) ).

fof(f153,plain,
    function(sK5),
    inference(cnf_transformation,[],[f102]) ).

fof(f327,plain,
    ( ~ function(sK5)
    | spl15_12 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f349,plain,
    spl15_11,
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f348,plain,
    ( $false
    | spl15_11 ),
    inference(resolution,[],[f323,f149]) ).

fof(f149,plain,
    function(sK4),
    inference(cnf_transformation,[],[f102]) ).

fof(f323,plain,
    ( ~ function(sK4)
    | spl15_11 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl15_11
  <=> function(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f347,plain,
    ( ~ spl15_7
    | ~ spl15_11
    | ~ spl15_12
    | spl15_14
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f343,f265,f345,f325,f321,f280]) ).

fof(f265,plain,
    ( spl15_5
  <=> relation(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f343,plain,
    ! [X0] :
      ( ~ relation(sK4)
      | ~ in(X0,relation_dom(sK5))
      | in(apply(sK5,X0),relation_dom(sK4))
      | ~ function(sK5)
      | ~ function(sK4)
      | ~ relation(sK5) ),
    inference(superposition,[],[f140,f150]) ).

fof(f150,plain,
    relation_dom(relation_composition(sK5,sK4)) = relation_dom(sK5),
    inference(cnf_transformation,[],[f102]) ).

fof(f140,plain,
    ! [X2,X0,X1] :
      ( ~ in(X1,relation_dom(relation_composition(X2,X0)))
      | ~ relation(X0)
      | ~ relation(X2)
      | ~ function(X2)
      | in(apply(X2,X1),relation_dom(X0))
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ! [X2] :
          ( ( ( ( in(apply(X2,X1),relation_dom(X0))
                & in(X1,relation_dom(X2)) )
              | ~ in(X1,relation_dom(relation_composition(X2,X0))) )
            & ( in(X1,relation_dom(relation_composition(X2,X0)))
              | ~ in(apply(X2,X1),relation_dom(X0))
              | ~ in(X1,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) ) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ! [X2] :
          ( ( ( ( in(apply(X2,X1),relation_dom(X0))
                & in(X1,relation_dom(X2)) )
              | ~ in(X1,relation_dom(relation_composition(X2,X0))) )
            & ( in(X1,relation_dom(relation_composition(X2,X0)))
              | ~ in(apply(X2,X1),relation_dom(X0))
              | ~ in(X1,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ! [X2] :
          ( ( ( in(apply(X2,X1),relation_dom(X0))
              & in(X1,relation_dom(X2)) )
          <=> in(X1,relation_dom(relation_composition(X2,X0))) )
          | ~ function(X2)
          | ~ relation(X2) ) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(apply(X2,X1),relation_dom(X0))
              & in(X1,relation_dom(X2)) )
          <=> in(X1,relation_dom(relation_composition(X2,X0))) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( ( in(apply(X2,X1),relation_dom(X0))
              & in(X1,relation_dom(X2)) )
          <=> in(X1,relation_dom(relation_composition(X2,X0))) ) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X1,X0] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).

fof(f289,plain,
    spl15_7,
    inference(avatar_contradiction_clause,[],[f288]) ).

fof(f288,plain,
    ( $false
    | spl15_7 ),
    inference(resolution,[],[f282,f151]) ).

fof(f151,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f102]) ).

fof(f282,plain,
    ( ~ relation(sK5)
    | spl15_7 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f274,plain,
    spl15_5,
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f273,plain,
    ( $false
    | spl15_5 ),
    inference(resolution,[],[f267,f154]) ).

fof(f154,plain,
    relation(sK4),
    inference(cnf_transformation,[],[f102]) ).

fof(f267,plain,
    ( ~ relation(sK4)
    | spl15_5 ),
    inference(avatar_component_clause,[],[f265]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU003+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:44:12 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.44  % (13968)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.45  % (13976)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.45  % (13984)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.46  % (13984)First to succeed.
% 0.19/0.47  % (13976)Instruction limit reached!
% 0.19/0.47  % (13976)------------------------------
% 0.19/0.47  % (13976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (13976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (13976)Termination reason: Unknown
% 0.19/0.48  % (13976)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (13976)Memory used [KB]: 6012
% 0.19/0.48  % (13976)Time elapsed: 0.004 s
% 0.19/0.48  % (13976)Instructions burned: 3 (million)
% 0.19/0.48  % (13976)------------------------------
% 0.19/0.48  % (13976)------------------------------
% 0.19/0.48  % (13984)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (13984)------------------------------
% 0.19/0.48  % (13984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (13984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (13984)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (13984)Memory used [KB]: 6140
% 0.19/0.48  % (13984)Time elapsed: 0.090 s
% 0.19/0.48  % (13984)Instructions burned: 9 (million)
% 0.19/0.48  % (13984)------------------------------
% 0.19/0.48  % (13984)------------------------------
% 0.19/0.48  % (13959)Success in time 0.131 s
%------------------------------------------------------------------------------