TSTP Solution File: SET775+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET775+4 : TPTP v8.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 : Tue May 21 03:13:12 EDT 2024

% Result   : Theorem 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  175 (   3 unt;   0 def)
%            Number of atoms       :  733 (   0 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  892 ( 334   ~; 358   |; 135   &)
%                                         (  29 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   26 (  25 usr;  21 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  207 ( 159   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f327,plain,
    $false,
    inference(avatar_sat_refutation,[],[f87,f92,f97,f98,f103,f104,f109,f110,f151,f162,f210,f217,f218,f221,f222,f223,f242,f252,f271,f280,f291,f308,f317,f326]) ).

fof(f326,plain,
    ( ~ spl10_2
    | ~ spl10_5
    | ~ spl10_6
    | spl10_24 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_6
    | spl10_24 ),
    inference(subsumption_resolution,[],[f324,f82]) ).

fof(f82,plain,
    ( member(sK7(sK1,sK3),sK1)
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl10_2
  <=> member(sK7(sK1,sK3),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f324,plain,
    ( ~ member(sK7(sK1,sK3),sK1)
    | ~ spl10_5
    | ~ spl10_6
    | spl10_24 ),
    inference(subsumption_resolution,[],[f323,f96]) ).

fof(f96,plain,
    ( member(sK8(sK1,sK3),sK1)
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl10_5
  <=> member(sK8(sK1,sK3),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f323,plain,
    ( ~ member(sK8(sK1,sK3),sK1)
    | ~ member(sK7(sK1,sK3),sK1)
    | ~ spl10_6
    | spl10_24 ),
    inference(subsumption_resolution,[],[f320,f102]) ).

fof(f102,plain,
    ( apply(sK3,sK7(sK1,sK3),sK8(sK1,sK3))
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl10_6
  <=> apply(sK3,sK7(sK1,sK3),sK8(sK1,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f320,plain,
    ( ~ apply(sK3,sK7(sK1,sK3),sK8(sK1,sK3))
    | ~ member(sK8(sK1,sK3),sK1)
    | ~ member(sK7(sK1,sK3),sK1)
    | spl10_24 ),
    inference(resolution,[],[f307,f45]) ).

fof(f45,plain,
    ! [X3,X4] :
      ( apply(sK2,X3,X4)
      | ~ apply(sK3,X3,X4)
      | ~ member(X4,sK1)
      | ~ member(X3,sK1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ~ equivalence(sK3,sK1)
    & ! [X3,X4] :
        ( ( ( apply(sK3,X3,X4)
            | ~ apply(sK2,X4,X3)
            | ~ apply(sK2,X3,X4) )
          & ( ( apply(sK2,X4,X3)
              & apply(sK2,X3,X4) )
            | ~ apply(sK3,X3,X4) ) )
        | ~ member(X4,sK1)
        | ~ member(X3,sK1) )
    & pre_order(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f33,f34]) ).

fof(f34,plain,
    ( ? [X0,X1,X2] :
        ( ~ equivalence(X2,X0)
        & ! [X3,X4] :
            ( ( ( apply(X2,X3,X4)
                | ~ apply(X1,X4,X3)
                | ~ apply(X1,X3,X4) )
              & ( ( apply(X1,X4,X3)
                  & apply(X1,X3,X4) )
                | ~ apply(X2,X3,X4) ) )
            | ~ member(X4,X0)
            | ~ member(X3,X0) )
        & pre_order(X1,X0) )
   => ( ~ equivalence(sK3,sK1)
      & ! [X4,X3] :
          ( ( ( apply(sK3,X3,X4)
              | ~ apply(sK2,X4,X3)
              | ~ apply(sK2,X3,X4) )
            & ( ( apply(sK2,X4,X3)
                & apply(sK2,X3,X4) )
              | ~ apply(sK3,X3,X4) ) )
          | ~ member(X4,sK1)
          | ~ member(X3,sK1) )
      & pre_order(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ? [X0,X1,X2] :
      ( ~ equivalence(X2,X0)
      & ! [X3,X4] :
          ( ( ( apply(X2,X3,X4)
              | ~ apply(X1,X4,X3)
              | ~ apply(X1,X3,X4) )
            & ( ( apply(X1,X4,X3)
                & apply(X1,X3,X4) )
              | ~ apply(X2,X3,X4) ) )
          | ~ member(X4,X0)
          | ~ member(X3,X0) )
      & pre_order(X1,X0) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ? [X0,X1,X2] :
      ( ~ equivalence(X2,X0)
      & ! [X3,X4] :
          ( ( ( apply(X2,X3,X4)
              | ~ apply(X1,X4,X3)
              | ~ apply(X1,X3,X4) )
            & ( ( apply(X1,X4,X3)
                & apply(X1,X3,X4) )
              | ~ apply(X2,X3,X4) ) )
          | ~ member(X4,X0)
          | ~ member(X3,X0) )
      & pre_order(X1,X0) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ? [X0,X1,X2] :
      ( ~ equivalence(X2,X0)
      & ! [X3,X4] :
          ( ( apply(X2,X3,X4)
          <=> ( apply(X1,X4,X3)
              & apply(X1,X3,X4) ) )
          | ~ member(X4,X0)
          | ~ member(X3,X0) )
      & pre_order(X1,X0) ),
    inference(flattening,[],[f24]) ).

fof(f24,plain,
    ? [X0,X1,X2] :
      ( ~ equivalence(X2,X0)
      & ! [X3,X4] :
          ( ( apply(X2,X3,X4)
          <=> ( apply(X1,X4,X3)
              & apply(X1,X3,X4) ) )
          | ~ member(X4,X0)
          | ~ member(X3,X0) )
      & pre_order(X1,X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ~ ! [X0,X1,X2] :
        ( ( ! [X3,X4] :
              ( ( member(X4,X0)
                & member(X3,X0) )
             => ( apply(X2,X3,X4)
              <=> ( apply(X1,X4,X3)
                  & apply(X1,X3,X4) ) ) )
          & pre_order(X1,X0) )
       => equivalence(X2,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X3,X7,X6] :
        ( ( ! [X0,X1] :
              ( ( member(X1,X3)
                & member(X0,X3) )
             => ( apply(X6,X0,X1)
              <=> ( apply(X7,X1,X0)
                  & apply(X7,X0,X1) ) ) )
          & pre_order(X7,X3) )
       => equivalence(X6,X3) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X3,X7,X6] :
      ( ( ! [X0,X1] :
            ( ( member(X1,X3)
              & member(X0,X3) )
           => ( apply(X6,X0,X1)
            <=> ( apply(X7,X1,X0)
                & apply(X7,X0,X1) ) ) )
        & pre_order(X7,X3) )
     => equivalence(X6,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11) ).

fof(f307,plain,
    ( ~ apply(sK2,sK7(sK1,sK3),sK8(sK1,sK3))
    | spl10_24 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl10_24
  <=> apply(sK2,sK7(sK1,sK3),sK8(sK1,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).

fof(f317,plain,
    ( ~ spl10_2
    | ~ spl10_5
    | ~ spl10_6
    | spl10_23 ),
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f316,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_6
    | spl10_23 ),
    inference(subsumption_resolution,[],[f315,f82]) ).

fof(f315,plain,
    ( ~ member(sK7(sK1,sK3),sK1)
    | ~ spl10_5
    | ~ spl10_6
    | spl10_23 ),
    inference(subsumption_resolution,[],[f314,f96]) ).

fof(f314,plain,
    ( ~ member(sK8(sK1,sK3),sK1)
    | ~ member(sK7(sK1,sK3),sK1)
    | ~ spl10_6
    | spl10_23 ),
    inference(subsumption_resolution,[],[f310,f102]) ).

fof(f310,plain,
    ( ~ apply(sK3,sK7(sK1,sK3),sK8(sK1,sK3))
    | ~ member(sK8(sK1,sK3),sK1)
    | ~ member(sK7(sK1,sK3),sK1)
    | spl10_23 ),
    inference(resolution,[],[f303,f46]) ).

fof(f46,plain,
    ! [X3,X4] :
      ( apply(sK2,X4,X3)
      | ~ apply(sK3,X3,X4)
      | ~ member(X4,sK1)
      | ~ member(X3,sK1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f303,plain,
    ( ~ apply(sK2,sK8(sK1,sK3),sK7(sK1,sK3))
    | spl10_23 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f301,plain,
    ( spl10_23
  <=> apply(sK2,sK8(sK1,sK3),sK7(sK1,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).

fof(f308,plain,
    ( ~ spl10_23
    | ~ spl10_24
    | ~ spl10_2
    | ~ spl10_5
    | spl10_7 ),
    inference(avatar_split_clause,[],[f299,f106,f94,f80,f305,f301]) ).

fof(f106,plain,
    ( spl10_7
  <=> apply(sK3,sK8(sK1,sK3),sK7(sK1,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f299,plain,
    ( ~ apply(sK2,sK7(sK1,sK3),sK8(sK1,sK3))
    | ~ apply(sK2,sK8(sK1,sK3),sK7(sK1,sK3))
    | ~ spl10_2
    | ~ spl10_5
    | spl10_7 ),
    inference(subsumption_resolution,[],[f298,f96]) ).

fof(f298,plain,
    ( ~ apply(sK2,sK7(sK1,sK3),sK8(sK1,sK3))
    | ~ apply(sK2,sK8(sK1,sK3),sK7(sK1,sK3))
    | ~ member(sK8(sK1,sK3),sK1)
    | ~ spl10_2
    | spl10_7 ),
    inference(subsumption_resolution,[],[f297,f82]) ).

fof(f297,plain,
    ( ~ apply(sK2,sK7(sK1,sK3),sK8(sK1,sK3))
    | ~ apply(sK2,sK8(sK1,sK3),sK7(sK1,sK3))
    | ~ member(sK7(sK1,sK3),sK1)
    | ~ member(sK8(sK1,sK3),sK1)
    | spl10_7 ),
    inference(resolution,[],[f108,f47]) ).

fof(f47,plain,
    ! [X3,X4] :
      ( apply(sK3,X3,X4)
      | ~ apply(sK2,X4,X3)
      | ~ apply(sK2,X3,X4)
      | ~ member(X4,sK1)
      | ~ member(X3,sK1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f108,plain,
    ( ~ apply(sK3,sK8(sK1,sK3),sK7(sK1,sK3))
    | spl10_7 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f291,plain,
    ( ~ spl10_12
    | ~ spl10_13
    | ~ spl10_14
    | spl10_22 ),
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f290,plain,
    ( $false
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_14
    | spl10_22 ),
    inference(subsumption_resolution,[],[f289,f165]) ).

fof(f165,plain,
    ( member(sK5(sK3,sK1),sK1)
    | ~ spl10_12 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl10_12
  <=> member(sK5(sK3,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).

fof(f289,plain,
    ( ~ member(sK5(sK3,sK1),sK1)
    | ~ spl10_13
    | ~ spl10_14
    | spl10_22 ),
    inference(subsumption_resolution,[],[f288,f169]) ).

fof(f169,plain,
    ( member(sK6(sK3,sK1),sK1)
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl10_13
  <=> member(sK6(sK3,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f288,plain,
    ( ~ member(sK6(sK3,sK1),sK1)
    | ~ member(sK5(sK3,sK1),sK1)
    | ~ spl10_14
    | spl10_22 ),
    inference(subsumption_resolution,[],[f284,f173]) ).

fof(f173,plain,
    ( apply(sK3,sK5(sK3,sK1),sK6(sK3,sK1))
    | ~ spl10_14 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f172,plain,
    ( spl10_14
  <=> apply(sK3,sK5(sK3,sK1),sK6(sK3,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).

fof(f284,plain,
    ( ~ apply(sK3,sK5(sK3,sK1),sK6(sK3,sK1))
    | ~ member(sK6(sK3,sK1),sK1)
    | ~ member(sK5(sK3,sK1),sK1)
    | spl10_22 ),
    inference(resolution,[],[f270,f46]) ).

fof(f270,plain,
    ( ~ apply(sK2,sK6(sK3,sK1),sK5(sK3,sK1))
    | spl10_22 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl10_22
  <=> apply(sK2,sK6(sK3,sK1),sK5(sK3,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).

fof(f280,plain,
    ( ~ spl10_3
    | ~ spl10_12
    | ~ spl10_17
    | spl10_21 ),
    inference(avatar_contradiction_clause,[],[f279]) ).

fof(f279,plain,
    ( $false
    | ~ spl10_3
    | ~ spl10_12
    | ~ spl10_17
    | spl10_21 ),
    inference(subsumption_resolution,[],[f278,f187]) ).

fof(f187,plain,
    ( member(sK4(sK3,sK1),sK1)
    | ~ spl10_17 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl10_17
  <=> member(sK4(sK3,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).

fof(f278,plain,
    ( ~ member(sK4(sK3,sK1),sK1)
    | ~ spl10_3
    | ~ spl10_12
    | spl10_21 ),
    inference(subsumption_resolution,[],[f277,f165]) ).

fof(f277,plain,
    ( ~ member(sK5(sK3,sK1),sK1)
    | ~ member(sK4(sK3,sK1),sK1)
    | ~ spl10_3
    | spl10_21 ),
    inference(subsumption_resolution,[],[f273,f214]) ).

fof(f214,plain,
    ( apply(sK3,sK4(sK3,sK1),sK5(sK3,sK1))
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
        & apply(X0,sK5(X0,X1),sK6(X0,X1))
        & apply(X0,sK4(X0,X1),sK5(X0,X1))
        & member(sK6(X0,X1),X1)
        & member(sK5(X0,X1),X1)
        & member(sK4(X0,X1),X1) )
      | ~ sP0(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f37,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X0,X2,X4)
          & apply(X0,X3,X4)
          & apply(X0,X2,X3)
          & member(X4,X1)
          & member(X3,X1)
          & member(X2,X1) )
     => ( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
        & apply(X0,sK5(X0,X1),sK6(X0,X1))
        & apply(X0,sK4(X0,X1),sK5(X0,X1))
        & member(sK6(X0,X1),X1)
        & member(sK5(X0,X1),X1)
        & member(sK4(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X0,X2,X4)
          & apply(X0,X3,X4)
          & apply(X0,X2,X3)
          & member(X4,X1)
          & member(X3,X1)
          & member(X2,X1) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ~ sP0(X1,X0) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ~ sP0(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f86,plain,
    ( sP0(sK3,sK1)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl10_3
  <=> sP0(sK3,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f273,plain,
    ( ~ apply(sK3,sK4(sK3,sK1),sK5(sK3,sK1))
    | ~ member(sK5(sK3,sK1),sK1)
    | ~ member(sK4(sK3,sK1),sK1)
    | spl10_21 ),
    inference(resolution,[],[f266,f46]) ).

fof(f266,plain,
    ( ~ apply(sK2,sK5(sK3,sK1),sK4(sK3,sK1))
    | spl10_21 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl10_21
  <=> apply(sK2,sK5(sK3,sK1),sK4(sK3,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).

fof(f271,plain,
    ( ~ spl10_21
    | ~ spl10_22
    | spl10_9
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_17 ),
    inference(avatar_split_clause,[],[f261,f186,f168,f164,f128,f268,f264]) ).

fof(f128,plain,
    ( spl10_9
  <=> apply(sK2,sK6(sK3,sK1),sK4(sK3,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

fof(f261,plain,
    ( ~ apply(sK2,sK6(sK3,sK1),sK5(sK3,sK1))
    | ~ apply(sK2,sK5(sK3,sK1),sK4(sK3,sK1))
    | spl10_9
    | ~ spl10_12
    | ~ spl10_13
    | ~ spl10_17 ),
    inference(resolution,[],[f259,f165]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ member(X0,sK1)
        | ~ apply(sK2,sK6(sK3,sK1),X0)
        | ~ apply(sK2,X0,sK4(sK3,sK1)) )
    | spl10_9
    | ~ spl10_13
    | ~ spl10_17 ),
    inference(subsumption_resolution,[],[f258,f169]) ).

fof(f258,plain,
    ( ! [X0] :
        ( ~ apply(sK2,sK6(sK3,sK1),X0)
        | ~ member(X0,sK1)
        | ~ member(sK6(sK3,sK1),sK1)
        | ~ apply(sK2,X0,sK4(sK3,sK1)) )
    | spl10_9
    | ~ spl10_17 ),
    inference(subsumption_resolution,[],[f255,f187]) ).

fof(f255,plain,
    ( ! [X0] :
        ( ~ apply(sK2,sK6(sK3,sK1),X0)
        | ~ member(sK4(sK3,sK1),sK1)
        | ~ member(X0,sK1)
        | ~ member(sK6(sK3,sK1),sK1)
        | ~ apply(sK2,X0,sK4(sK3,sK1)) )
    | spl10_9 ),
    inference(resolution,[],[f130,f66]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( apply(sK2,X2,X1)
      | ~ apply(sK2,X2,X0)
      | ~ member(X1,sK1)
      | ~ member(X0,sK1)
      | ~ member(X2,sK1)
      | ~ apply(sK2,X0,X1) ),
    inference(resolution,[],[f44,f64]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pre_order(X0,X1)
      | ~ apply(X0,X3,X4)
      | ~ apply(X0,X2,X3)
      | ~ member(X4,X1)
      | ~ member(X3,X1)
      | ~ member(X2,X1)
      | apply(X0,X2,X4) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3,X4] :
            ( apply(X0,X2,X4)
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X2,X3)
            | ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ member(X2,X1) )
        & ! [X5] :
            ( apply(X0,X5,X5)
            | ~ member(X5,X1) ) )
      | ~ pre_order(X0,X1) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3,X4] :
            ( apply(X0,X2,X4)
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X2,X3)
            | ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ member(X2,X1) )
        & ! [X5] :
            ( apply(X0,X5,X5)
            | ~ member(X5,X1) ) )
      | ~ pre_order(X0,X1) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
     => ( ! [X2,X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1)
              & member(X2,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X2,X3) )
             => apply(X0,X2,X4) ) )
        & ! [X5] :
            ( member(X5,X1)
           => apply(X0,X5,X5) ) ) ),
    inference(unused_predicate_definition_removal,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X2,X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1)
              & member(X2,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X2,X3) )
             => apply(X0,X2,X4) ) )
        & ! [X5] :
            ( member(X5,X1)
           => apply(X0,X5,X5) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X6,X3] :
      ( pre_order(X6,X3)
    <=> ( ! [X2,X4,X5] :
            ( ( member(X5,X3)
              & member(X4,X3)
              & member(X2,X3) )
           => ( ( apply(X6,X4,X5)
                & apply(X6,X2,X4) )
             => apply(X6,X2,X5) ) )
        & ! [X2] :
            ( member(X2,X3)
           => apply(X6,X2,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pre_order) ).

fof(f44,plain,
    pre_order(sK2,sK1),
    inference(cnf_transformation,[],[f35]) ).

fof(f130,plain,
    ( ~ apply(sK2,sK6(sK3,sK1),sK4(sK3,sK1))
    | spl10_9 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f252,plain,
    ( ~ spl10_8
    | ~ spl10_9
    | ~ spl10_13
    | ~ spl10_17
    | spl10_18 ),
    inference(avatar_split_clause,[],[f251,f190,f186,f168,f128,f124]) ).

fof(f124,plain,
    ( spl10_8
  <=> apply(sK2,sK4(sK3,sK1),sK6(sK3,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f190,plain,
    ( spl10_18
  <=> apply(sK3,sK4(sK3,sK1),sK6(sK3,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).

fof(f251,plain,
    ( ~ apply(sK2,sK6(sK3,sK1),sK4(sK3,sK1))
    | ~ apply(sK2,sK4(sK3,sK1),sK6(sK3,sK1))
    | ~ spl10_13
    | ~ spl10_17
    | spl10_18 ),
    inference(subsumption_resolution,[],[f250,f187]) ).

fof(f250,plain,
    ( ~ apply(sK2,sK6(sK3,sK1),sK4(sK3,sK1))
    | ~ apply(sK2,sK4(sK3,sK1),sK6(sK3,sK1))
    | ~ member(sK4(sK3,sK1),sK1)
    | ~ spl10_13
    | spl10_18 ),
    inference(subsumption_resolution,[],[f226,f169]) ).

fof(f226,plain,
    ( ~ apply(sK2,sK6(sK3,sK1),sK4(sK3,sK1))
    | ~ apply(sK2,sK4(sK3,sK1),sK6(sK3,sK1))
    | ~ member(sK6(sK3,sK1),sK1)
    | ~ member(sK4(sK3,sK1),sK1)
    | spl10_18 ),
    inference(resolution,[],[f192,f47]) ).

fof(f192,plain,
    ( ~ apply(sK3,sK4(sK3,sK1),sK6(sK3,sK1))
    | spl10_18 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f242,plain,
    ( ~ spl10_3
    | spl10_11
    | ~ spl10_12
    | ~ spl10_17 ),
    inference(avatar_contradiction_clause,[],[f241]) ).

fof(f241,plain,
    ( $false
    | ~ spl10_3
    | spl10_11
    | ~ spl10_12
    | ~ spl10_17 ),
    inference(subsumption_resolution,[],[f240,f187]) ).

fof(f240,plain,
    ( ~ member(sK4(sK3,sK1),sK1)
    | ~ spl10_3
    | spl10_11
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f239,f165]) ).

fof(f239,plain,
    ( ~ member(sK5(sK3,sK1),sK1)
    | ~ member(sK4(sK3,sK1),sK1)
    | ~ spl10_3
    | spl10_11 ),
    inference(subsumption_resolution,[],[f234,f214]) ).

fof(f234,plain,
    ( ~ apply(sK3,sK4(sK3,sK1),sK5(sK3,sK1))
    | ~ member(sK5(sK3,sK1),sK1)
    | ~ member(sK4(sK3,sK1),sK1)
    | spl10_11 ),
    inference(resolution,[],[f150,f45]) ).

fof(f150,plain,
    ( ~ apply(sK2,sK4(sK3,sK1),sK5(sK3,sK1))
    | spl10_11 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl10_11
  <=> apply(sK2,sK4(sK3,sK1),sK5(sK3,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

fof(f223,plain,
    ( spl10_13
    | ~ spl10_3 ),
    inference(avatar_split_clause,[],[f213,f84,f168]) ).

fof(f213,plain,
    ( member(sK6(sK3,sK1),sK1)
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | member(sK6(X0,X1),X1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f222,plain,
    ( ~ spl10_18
    | ~ spl10_3 ),
    inference(avatar_split_clause,[],[f216,f84,f190]) ).

fof(f216,plain,
    ( ~ apply(sK3,sK4(sK3,sK1),sK6(sK3,sK1))
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ~ apply(X0,sK4(X0,X1),sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f221,plain,
    ( spl10_14
    | ~ spl10_3 ),
    inference(avatar_split_clause,[],[f215,f84,f172]) ).

fof(f215,plain,
    ( apply(sK3,sK5(sK3,sK1),sK6(sK3,sK1))
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f218,plain,
    ( spl10_12
    | ~ spl10_3 ),
    inference(avatar_split_clause,[],[f212,f84,f164]) ).

fof(f212,plain,
    ( member(sK5(sK3,sK1),sK1)
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | member(sK5(X0,X1),X1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f217,plain,
    ( spl10_17
    | ~ spl10_3 ),
    inference(avatar_split_clause,[],[f211,f84,f186]) ).

fof(f211,plain,
    ( member(sK4(sK3,sK1),sK1)
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | member(sK4(X0,X1),X1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f210,plain,
    ( ~ spl10_1
    | spl10_4 ),
    inference(avatar_split_clause,[],[f209,f89,f76]) ).

fof(f76,plain,
    ( spl10_1
  <=> member(sK9(sK1,sK3),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f89,plain,
    ( spl10_4
  <=> apply(sK3,sK9(sK1,sK3),sK9(sK1,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f209,plain,
    ( ~ member(sK9(sK1,sK3),sK1)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f205,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ member(X0,sK1)
      | apply(sK2,X0,X0) ),
    inference(resolution,[],[f44,f63]) ).

fof(f63,plain,
    ! [X0,X1,X5] :
      ( ~ pre_order(X0,X1)
      | ~ member(X5,X1)
      | apply(X0,X5,X5) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f205,plain,
    ( ~ apply(sK2,sK9(sK1,sK3),sK9(sK1,sK3))
    | ~ member(sK9(sK1,sK3),sK1)
    | spl10_4 ),
    inference(duplicate_literal_removal,[],[f204]) ).

fof(f204,plain,
    ( ~ apply(sK2,sK9(sK1,sK3),sK9(sK1,sK3))
    | ~ apply(sK2,sK9(sK1,sK3),sK9(sK1,sK3))
    | ~ member(sK9(sK1,sK3),sK1)
    | ~ member(sK9(sK1,sK3),sK1)
    | spl10_4 ),
    inference(resolution,[],[f91,f47]) ).

fof(f91,plain,
    ( ~ apply(sK3,sK9(sK1,sK3),sK9(sK1,sK3))
    | spl10_4 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f162,plain,
    ( ~ spl10_3
    | spl10_10 ),
    inference(avatar_contradiction_clause,[],[f161]) ).

fof(f161,plain,
    ( $false
    | ~ spl10_3
    | spl10_10 ),
    inference(subsumption_resolution,[],[f160,f112]) ).

fof(f112,plain,
    ( member(sK5(sK3,sK1),sK1)
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f50]) ).

fof(f160,plain,
    ( ~ member(sK5(sK3,sK1),sK1)
    | ~ spl10_3
    | spl10_10 ),
    inference(subsumption_resolution,[],[f159,f113]) ).

fof(f113,plain,
    ( member(sK6(sK3,sK1),sK1)
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f51]) ).

fof(f159,plain,
    ( ~ member(sK6(sK3,sK1),sK1)
    | ~ member(sK5(sK3,sK1),sK1)
    | ~ spl10_3
    | spl10_10 ),
    inference(subsumption_resolution,[],[f154,f115]) ).

fof(f115,plain,
    ( apply(sK3,sK5(sK3,sK1),sK6(sK3,sK1))
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f53]) ).

fof(f154,plain,
    ( ~ apply(sK3,sK5(sK3,sK1),sK6(sK3,sK1))
    | ~ member(sK6(sK3,sK1),sK1)
    | ~ member(sK5(sK3,sK1),sK1)
    | spl10_10 ),
    inference(resolution,[],[f146,f45]) ).

fof(f146,plain,
    ( ~ apply(sK2,sK5(sK3,sK1),sK6(sK3,sK1))
    | spl10_10 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl10_10
  <=> apply(sK2,sK5(sK3,sK1),sK6(sK3,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

fof(f151,plain,
    ( ~ spl10_10
    | ~ spl10_11
    | ~ spl10_3
    | spl10_8 ),
    inference(avatar_split_clause,[],[f141,f124,f84,f148,f144]) ).

fof(f141,plain,
    ( ~ apply(sK2,sK4(sK3,sK1),sK5(sK3,sK1))
    | ~ apply(sK2,sK5(sK3,sK1),sK6(sK3,sK1))
    | ~ spl10_3
    | spl10_8 ),
    inference(resolution,[],[f136,f112]) ).

fof(f136,plain,
    ( ! [X0] :
        ( ~ member(X0,sK1)
        | ~ apply(sK2,sK4(sK3,sK1),X0)
        | ~ apply(sK2,X0,sK6(sK3,sK1)) )
    | ~ spl10_3
    | spl10_8 ),
    inference(subsumption_resolution,[],[f135,f111]) ).

fof(f111,plain,
    ( member(sK4(sK3,sK1),sK1)
    | ~ spl10_3 ),
    inference(resolution,[],[f86,f49]) ).

fof(f135,plain,
    ( ! [X0] :
        ( ~ apply(sK2,sK4(sK3,sK1),X0)
        | ~ member(X0,sK1)
        | ~ member(sK4(sK3,sK1),sK1)
        | ~ apply(sK2,X0,sK6(sK3,sK1)) )
    | ~ spl10_3
    | spl10_8 ),
    inference(subsumption_resolution,[],[f132,f113]) ).

fof(f132,plain,
    ( ! [X0] :
        ( ~ apply(sK2,sK4(sK3,sK1),X0)
        | ~ member(sK6(sK3,sK1),sK1)
        | ~ member(X0,sK1)
        | ~ member(sK4(sK3,sK1),sK1)
        | ~ apply(sK2,X0,sK6(sK3,sK1)) )
    | spl10_8 ),
    inference(resolution,[],[f126,f66]) ).

fof(f126,plain,
    ( ~ apply(sK2,sK4(sK3,sK1),sK6(sK3,sK1))
    | spl10_8 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f110,plain,
    ( ~ spl10_4
    | ~ spl10_7
    | spl10_3 ),
    inference(avatar_split_clause,[],[f74,f84,f106,f89]) ).

fof(f74,plain,
    ( sP0(sK3,sK1)
    | ~ apply(sK3,sK8(sK1,sK3),sK7(sK1,sK3))
    | ~ apply(sK3,sK9(sK1,sK3),sK9(sK1,sK3)) ),
    inference(resolution,[],[f48,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ~ apply(X1,sK8(X0,X1),sK7(X0,X1))
      | ~ apply(X1,sK9(X0,X1),sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ( ~ apply(X1,sK8(X0,X1),sK7(X0,X1))
        & apply(X1,sK7(X0,X1),sK8(X0,X1))
        & member(sK8(X0,X1),X0)
        & member(sK7(X0,X1),X0) )
      | ( ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
        & member(sK9(X0,X1),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f40,f42,f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ apply(X1,X3,X2)
          & apply(X1,X2,X3)
          & member(X3,X0)
          & member(X2,X0) )
     => ( ~ apply(X1,sK8(X0,X1),sK7(X0,X1))
        & apply(X1,sK7(X0,X1),sK8(X0,X1))
        & member(sK8(X0,X1),X0)
        & member(sK7(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ~ apply(X1,X4,X4)
          & member(X4,X0) )
     => ( ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
        & member(sK9(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ? [X2,X3] :
          ( ~ apply(X1,X3,X2)
          & apply(X1,X2,X3)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X4] :
          ( ~ apply(X1,X4,X4)
          & member(X4,X0) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(definition_folding,[],[f27,f30]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3,X4] :
            ( ( member(X4,X0)
              & member(X3,X0)
              & member(X2,X0) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X2,X3) )
             => apply(X1,X2,X4) ) )
        & ! [X5,X6] :
            ( ( member(X6,X0)
              & member(X5,X0) )
           => ( apply(X1,X5,X6)
             => apply(X1,X6,X5) ) )
        & ! [X7] :
            ( member(X7,X0)
           => apply(X1,X7,X7) ) )
     => equivalence(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
    <=> ( ! [X2,X3,X4] :
            ( ( member(X4,X0)
              & member(X3,X0)
              & member(X2,X0) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X2,X3) )
             => apply(X1,X2,X4) ) )
        & ! [X5,X6] :
            ( ( member(X6,X0)
              & member(X5,X0) )
           => ( apply(X1,X5,X6)
             => apply(X1,X6,X5) ) )
        & ! [X7] :
            ( member(X7,X0)
           => apply(X1,X7,X7) ) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X6] :
      ( equivalence(X6,X0)
    <=> ( ! [X2,X4,X5] :
            ( ( member(X5,X0)
              & member(X4,X0)
              & member(X2,X0) )
           => ( ( apply(X6,X4,X5)
                & apply(X6,X2,X4) )
             => apply(X6,X2,X5) ) )
        & ! [X2,X4] :
            ( ( member(X4,X0)
              & member(X2,X0) )
           => ( apply(X6,X2,X4)
             => apply(X6,X4,X2) ) )
        & ! [X2] :
            ( member(X2,X0)
           => apply(X6,X2,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).

fof(f48,plain,
    ~ equivalence(sK3,sK1),
    inference(cnf_transformation,[],[f35]) ).

fof(f109,plain,
    ( spl10_1
    | ~ spl10_7
    | spl10_3 ),
    inference(avatar_split_clause,[],[f73,f84,f106,f76]) ).

fof(f73,plain,
    ( sP0(sK3,sK1)
    | ~ apply(sK3,sK8(sK1,sK3),sK7(sK1,sK3))
    | member(sK9(sK1,sK3),sK1) ),
    inference(resolution,[],[f48,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ~ apply(X1,sK8(X0,X1),sK7(X0,X1))
      | member(sK9(X0,X1),X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f104,plain,
    ( ~ spl10_4
    | spl10_6
    | spl10_3 ),
    inference(avatar_split_clause,[],[f72,f84,f100,f89]) ).

fof(f72,plain,
    ( sP0(sK3,sK1)
    | apply(sK3,sK7(sK1,sK3),sK8(sK1,sK3))
    | ~ apply(sK3,sK9(sK1,sK3),sK9(sK1,sK3)) ),
    inference(resolution,[],[f48,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | apply(X1,sK7(X0,X1),sK8(X0,X1))
      | ~ apply(X1,sK9(X0,X1),sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f103,plain,
    ( spl10_1
    | spl10_6
    | spl10_3 ),
    inference(avatar_split_clause,[],[f71,f84,f100,f76]) ).

fof(f71,plain,
    ( sP0(sK3,sK1)
    | apply(sK3,sK7(sK1,sK3),sK8(sK1,sK3))
    | member(sK9(sK1,sK3),sK1) ),
    inference(resolution,[],[f48,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | apply(X1,sK7(X0,X1),sK8(X0,X1))
      | member(sK9(X0,X1),X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f98,plain,
    ( ~ spl10_4
    | spl10_5
    | spl10_3 ),
    inference(avatar_split_clause,[],[f70,f84,f94,f89]) ).

fof(f70,plain,
    ( sP0(sK3,sK1)
    | member(sK8(sK1,sK3),sK1)
    | ~ apply(sK3,sK9(sK1,sK3),sK9(sK1,sK3)) ),
    inference(resolution,[],[f48,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | member(sK8(X0,X1),X0)
      | ~ apply(X1,sK9(X0,X1),sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f97,plain,
    ( spl10_1
    | spl10_5
    | spl10_3 ),
    inference(avatar_split_clause,[],[f69,f84,f94,f76]) ).

fof(f69,plain,
    ( sP0(sK3,sK1)
    | member(sK8(sK1,sK3),sK1)
    | member(sK9(sK1,sK3),sK1) ),
    inference(resolution,[],[f48,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | member(sK8(X0,X1),X0)
      | member(sK9(X0,X1),X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f92,plain,
    ( ~ spl10_4
    | spl10_2
    | spl10_3 ),
    inference(avatar_split_clause,[],[f68,f84,f80,f89]) ).

fof(f68,plain,
    ( sP0(sK3,sK1)
    | member(sK7(sK1,sK3),sK1)
    | ~ apply(sK3,sK9(sK1,sK3),sK9(sK1,sK3)) ),
    inference(resolution,[],[f48,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | member(sK7(X0,X1),X0)
      | ~ apply(X1,sK9(X0,X1),sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f87,plain,
    ( spl10_1
    | spl10_2
    | spl10_3 ),
    inference(avatar_split_clause,[],[f67,f84,f80,f76]) ).

fof(f67,plain,
    ( sP0(sK3,sK1)
    | member(sK7(sK1,sK3),sK1)
    | member(sK9(sK1,sK3),sK1) ),
    inference(resolution,[],[f48,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | member(sK7(X0,X1),X0)
      | member(sK9(X0,X1),X0) ),
    inference(cnf_transformation,[],[f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET775+4 : TPTP v8.2.0. Released v2.2.0.
% 0.06/0.14  % 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
% 0.14/0.35  % Computer : n019.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   : Mon May 20 11:42:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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/benchmark/theBenchmark.p
% 0.62/0.79  % (26544)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.79  % (26545)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 theBenchmark for (2995ds/83Mi)
% 0.62/0.79  % (26546)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.62/0.79  % (26539)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 theBenchmark for (2995ds/34Mi)
% 0.62/0.79  % (26541)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.79  % (26540)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 theBenchmark for (2995ds/51Mi)
% 0.62/0.79  % (26542)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.79  % (26543)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 theBenchmark for (2995ds/34Mi)
% 0.62/0.79  % (26545)Refutation not found, incomplete strategy% (26545)------------------------------
% 0.62/0.79  % (26545)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (26545)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (26545)Memory used [KB]: 1079
% 0.62/0.79  % (26545)Time elapsed: 0.003 s
% 0.62/0.79  % (26545)Instructions burned: 4 (million)
% 0.62/0.79  % (26545)------------------------------
% 0.62/0.79  % (26545)------------------------------
% 0.62/0.79  % (26546)First to succeed.
% 0.62/0.79  % (26546)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26538"
% 0.62/0.80  % (26546)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for theBenchmark
% 0.62/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.80  % (26546)------------------------------
% 0.62/0.80  % (26546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26546)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (26546)Memory used [KB]: 1154
% 0.62/0.80  % (26546)Time elapsed: 0.009 s
% 0.62/0.80  % (26546)Instructions burned: 13 (million)
% 0.62/0.80  % (26538)Success in time 0.437 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------