TSTP Solution File: SYN723+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN723+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : 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 : Sun May  5 11:59:12 EDT 2024

% Result   : Theorem 0.57s 0.79s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  286 (   1 unt;   0 def)
%            Number of atoms       :  780 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  843 ( 349   ~; 381   |;   0   &)
%                                         ( 112 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   79 (  78 usr;  74 prp; 0-1 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-1 aty)
%            Number of variables   :  143 ( 111   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f520,plain,
    $false,
    inference(avatar_sat_refutation,[],[f88,f92,f100,f104,f117,f118,f122,f123,f132,f133,f134,f135,f144,f145,f146,f147,f151,f156,f161,f165,f174,f175,f176,f177,f186,f187,f188,f189,f198,f199,f200,f201,f210,f211,f212,f213,f217,f222,f227,f231,f239,f240,f244,f248,f253,f254,f258,f262,f271,f272,f273,f274,f283,f284,f285,f286,f290,f295,f300,f301,f310,f311,f312,f313,f314,f319,f324,f325,f330,f331,f335,f339,f341,f343,f347,f364,f366,f368,f370,f373,f375,f395,f398,f401,f405,f409,f413,f417,f471,f475,f490,f509,f511,f519]) ).

fof(f519,plain,
    ( ~ spl39_2
    | ~ spl39_47 ),
    inference(avatar_contradiction_clause,[],[f512]) ).

fof(f512,plain,
    ( $false
    | ~ spl39_2
    | ~ spl39_47 ),
    inference(unit_resulting_resolution,[],[f318,f87]) ).

fof(f87,plain,
    ( ! [X1] : ~ p(X1)
    | ~ spl39_2 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f86,plain,
    ( spl39_2
  <=> ! [X1] : ~ p(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_2])]) ).

fof(f318,plain,
    ( p(sK35)
    | ~ spl39_47 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl39_47
  <=> p(sK35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_47])]) ).

fof(f511,plain,
    ( spl39_10
    | ~ spl39_3
    | ~ spl39_6 ),
    inference(avatar_split_clause,[],[f510,f102,f90,f120]) ).

fof(f120,plain,
    ( spl39_10
  <=> ! [X0] : ~ sP1(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_10])]) ).

fof(f90,plain,
    ( spl39_3
  <=> ! [X0] :
        ( p(X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_3])]) ).

fof(f102,plain,
    ( spl39_6
  <=> ! [X0] :
        ( ~ p(X0)
        | ~ sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_6])]) ).

fof(f510,plain,
    ( ! [X0] : ~ sP1(X0)
    | ~ spl39_3
    | ~ spl39_6 ),
    inference(subsumption_resolution,[],[f91,f103]) ).

fof(f103,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ sP1(X0) )
    | ~ spl39_6 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f91,plain,
    ( ! [X0] :
        ( p(X0)
        | ~ sP1(X0) )
    | ~ spl39_3 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f509,plain,
    ( ~ spl39_32
    | ~ spl39_33 ),
    inference(avatar_contradiction_clause,[],[f508]) ).

fof(f508,plain,
    ( $false
    | ~ spl39_32
    | ~ spl39_33 ),
    inference(subsumption_resolution,[],[f496,f238]) ).

fof(f238,plain,
    ( ! [X5] : q(X5)
    | ~ spl39_32 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl39_32
  <=> ! [X5] : q(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_32])]) ).

fof(f496,plain,
    ( ! [X0] : ~ q(X0)
    | ~ spl39_32
    | ~ spl39_33 ),
    inference(resolution,[],[f238,f243]) ).

fof(f243,plain,
    ( ! [X4] :
        ( ~ q(sK17(X4))
        | ~ q(X4) )
    | ~ spl39_33 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl39_33
  <=> ! [X4] :
        ( ~ q(sK17(X4))
        | ~ q(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_33])]) ).

fof(f490,plain,
    ( ~ spl39_42
    | ~ spl39_51 ),
    inference(avatar_contradiction_clause,[],[f489]) ).

fof(f489,plain,
    ( $false
    | ~ spl39_42
    | ~ spl39_51 ),
    inference(subsumption_resolution,[],[f481,f289]) ).

fof(f289,plain,
    ( ! [X10] : ~ s(X10)
    | ~ spl39_42 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f288,plain,
    ( spl39_42
  <=> ! [X10] : ~ s(X10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_42])]) ).

fof(f481,plain,
    ( ! [X0] : s(X0)
    | ~ spl39_42
    | ~ spl39_51 ),
    inference(resolution,[],[f338,f289]) ).

fof(f338,plain,
    ( ! [X12] :
        ( s(sK32(X12))
        | s(X12) )
    | ~ spl39_51 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl39_51
  <=> ! [X12] :
        ( s(sK32(X12))
        | s(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_51])]) ).

fof(f475,plain,
    ( ~ spl39_42
    | ~ spl39_43 ),
    inference(avatar_contradiction_clause,[],[f472]) ).

fof(f472,plain,
    ( $false
    | ~ spl39_42
    | ~ spl39_43 ),
    inference(unit_resulting_resolution,[],[f294,f289]) ).

fof(f294,plain,
    ( s(sK29)
    | ~ spl39_43 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl39_43
  <=> s(sK29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_43])]) ).

fof(f471,plain,
    ( ~ spl39_27
    | ~ spl39_37 ),
    inference(avatar_contradiction_clause,[],[f470]) ).

fof(f470,plain,
    ( $false
    | ~ spl39_27
    | ~ spl39_37 ),
    inference(subsumption_resolution,[],[f460,f216]) ).

fof(f216,plain,
    ( ! [X6] : ~ r(X6)
    | ~ spl39_27 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl39_27
  <=> ! [X6] : ~ r(X6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_27])]) ).

fof(f460,plain,
    ( ! [X0] : r(X0)
    | ~ spl39_27
    | ~ spl39_37 ),
    inference(resolution,[],[f261,f216]) ).

fof(f261,plain,
    ( ! [X8] :
        ( r(sK20(X8))
        | r(X8) )
    | ~ spl39_37 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl39_37
  <=> ! [X8] :
        ( r(sK20(X8))
        | r(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_37])]) ).

fof(f417,plain,
    ( ~ spl39_32
    | spl39_48 ),
    inference(avatar_contradiction_clause,[],[f414]) ).

fof(f414,plain,
    ( $false
    | ~ spl39_32
    | spl39_48 ),
    inference(unit_resulting_resolution,[],[f323,f238]) ).

fof(f323,plain,
    ( ~ q(sK36)
    | spl39_48 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl39_48
  <=> q(sK36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_48])]) ).

fof(f413,plain,
    ( ~ spl39_27
    | ~ spl39_28 ),
    inference(avatar_contradiction_clause,[],[f410]) ).

fof(f410,plain,
    ( $false
    | ~ spl39_27
    | ~ spl39_28 ),
    inference(unit_resulting_resolution,[],[f221,f216]) ).

fof(f221,plain,
    ( r(sK23)
    | ~ spl39_28 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl39_28
  <=> r(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_28])]) ).

fof(f409,plain,
    ( spl39_29
    | ~ spl39_30 ),
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | spl39_29
    | ~ spl39_30 ),
    inference(unit_resulting_resolution,[],[f226,f230]) ).

fof(f230,plain,
    ( ! [X7] : s(X7)
    | ~ spl39_30 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl39_30
  <=> ! [X7] : s(X7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_30])]) ).

fof(f226,plain,
    ( ~ s(sK24)
    | spl39_29 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl39_29
  <=> s(sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_29])]) ).

fof(f405,plain,
    ( spl39_17
    | ~ spl39_18 ),
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f402,plain,
    ( $false
    | spl39_17
    | ~ spl39_18 ),
    inference(unit_resulting_resolution,[],[f160,f164]) ).

fof(f164,plain,
    ( ! [X3] : r(X3)
    | ~ spl39_18 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f163,plain,
    ( spl39_18
  <=> ! [X3] : r(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_18])]) ).

fof(f160,plain,
    ( ~ r(sK10)
    | spl39_17 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl39_17
  <=> r(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_17])]) ).

fof(f401,plain,
    ( ~ spl39_18
    | ~ spl39_36 ),
    inference(avatar_contradiction_clause,[],[f400]) ).

fof(f400,plain,
    ( $false
    | ~ spl39_18
    | ~ spl39_36 ),
    inference(subsumption_resolution,[],[f399,f164]) ).

fof(f399,plain,
    ( ! [X8] : ~ r(X8)
    | ~ spl39_18
    | ~ spl39_36 ),
    inference(subsumption_resolution,[],[f257,f164]) ).

fof(f257,plain,
    ( ! [X8] :
        ( ~ r(sK20(X8))
        | ~ r(X8) )
    | ~ spl39_36 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl39_36
  <=> ! [X8] :
        ( ~ r(sK20(X8))
        | ~ r(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_36])]) ).

fof(f398,plain,
    ( ~ spl39_30
    | ~ spl39_50 ),
    inference(avatar_contradiction_clause,[],[f397]) ).

fof(f397,plain,
    ( $false
    | ~ spl39_30
    | ~ spl39_50 ),
    inference(subsumption_resolution,[],[f396,f230]) ).

fof(f396,plain,
    ( ! [X12] : ~ s(X12)
    | ~ spl39_30
    | ~ spl39_50 ),
    inference(subsumption_resolution,[],[f334,f230]) ).

fof(f334,plain,
    ( ! [X12] :
        ( ~ s(sK32(X12))
        | ~ s(X12) )
    | ~ spl39_50 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl39_50
  <=> ! [X12] :
        ( ~ s(sK32(X12))
        | ~ s(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_50])]) ).

fof(f395,plain,
    ( ~ spl39_2
    | ~ spl39_10 ),
    inference(avatar_contradiction_clause,[],[f394]) ).

fof(f394,plain,
    ( $false
    | ~ spl39_2
    | ~ spl39_10 ),
    inference(subsumption_resolution,[],[f393,f121]) ).

fof(f121,plain,
    ( ! [X0] : ~ sP1(X0)
    | ~ spl39_10 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f393,plain,
    ( ! [X0] : sP1(X0)
    | ~ spl39_2 ),
    inference(subsumption_resolution,[],[f382,f87]) ).

fof(f382,plain,
    ( ! [X0] :
        ( p(X0)
        | sP1(X0) )
    | ~ spl39_2 ),
    inference(resolution,[],[f87,f61]) ).

fof(f61,plain,
    ! [X0] :
      ( p(sK4(X0))
      | p(X0)
      | sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ? [X0] :
      ! [X1] :
        ( p(X0)
      <=> p(X1) )
  <~> ( ( ? [X2] : q(X2)
      <=> ! [X3] : r(X3) )
    <=> ( ( ? [X4] :
            ! [X5] :
              ( q(X4)
            <=> q(X5) )
        <=> ( ? [X6] : r(X6)
          <=> ! [X7] : s(X7) ) )
      <=> ( ? [X8] :
            ! [X9] :
              ( r(X8)
            <=> r(X9) )
        <=> ( ( ? [X10] : s(X10)
            <=> ! [X11] : p(X11) )
          <=> ( ? [X12] :
                ! [X13] :
                  ( s(X12)
                <=> s(X13) )
            <=> ( ? [X14] : p(X14)
              <=> ! [X15] : q(X15) ) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0] :
        ! [X1] :
          ( p(X0)
        <=> p(X1) )
    <=> ( ( ? [X2] : q(X2)
        <=> ! [X3] : r(X3) )
      <=> ( ( ? [X4] :
              ! [X5] :
                ( q(X4)
              <=> q(X5) )
          <=> ( ? [X6] : r(X6)
            <=> ! [X7] : s(X7) ) )
        <=> ( ? [X8] :
              ! [X9] :
                ( r(X8)
              <=> r(X9) )
          <=> ( ( ? [X10] : s(X10)
              <=> ! [X11] : p(X11) )
            <=> ( ? [X12] :
                  ! [X13] :
                    ( s(X12)
                  <=> s(X13) )
              <=> ( ? [X14] : p(X14)
                <=> ! [X15] : q(X15) ) ) ) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
        ! [X1] :
          ( p(X0)
        <=> p(X1) )
    <=> ( ( ? [X0] : q(X0)
        <=> ! [X1] : r(X1) )
      <=> ( ( ? [X0] :
              ! [X1] :
                ( q(X0)
              <=> q(X1) )
          <=> ( ? [X0] : r(X0)
            <=> ! [X1] : s(X1) ) )
        <=> ( ? [X0] :
              ! [X1] :
                ( r(X0)
              <=> r(X1) )
          <=> ( ( ? [X0] : s(X0)
              <=> ! [X1] : p(X1) )
            <=> ( ? [X0] :
                  ! [X1] :
                    ( s(X0)
                  <=> s(X1) )
              <=> ( ? [X0] : p(X0)
                <=> ! [X1] : q(X1) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0] :
      ! [X1] :
        ( p(X0)
      <=> p(X1) )
  <=> ( ( ? [X0] : q(X0)
      <=> ! [X1] : r(X1) )
    <=> ( ( ? [X0] :
            ! [X1] :
              ( q(X0)
            <=> q(X1) )
        <=> ( ? [X0] : r(X0)
          <=> ! [X1] : s(X1) ) )
      <=> ( ? [X0] :
            ! [X1] :
              ( r(X0)
            <=> r(X1) )
        <=> ( ( ? [X0] : s(X0)
            <=> ! [X1] : p(X1) )
          <=> ( ? [X0] :
                ! [X1] :
                  ( s(X0)
                <=> s(X1) )
            <=> ( ? [X0] : p(X0)
              <=> ! [X1] : q(X1) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wDkvkoBaS5/Vampire---4.8_31904',thm138) ).

fof(f375,plain,
    ( ~ spl39_15
    | ~ spl39_32 ),
    inference(avatar_contradiction_clause,[],[f374]) ).

fof(f374,plain,
    ( $false
    | ~ spl39_15
    | ~ spl39_32 ),
    inference(subsumption_resolution,[],[f238,f150]) ).

fof(f150,plain,
    ( ! [X2] : ~ q(X2)
    | ~ spl39_15 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl39_15
  <=> ! [X2] : ~ q(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_15])]) ).

fof(f373,plain,
    ( ~ spl39_15
    | ~ spl39_34 ),
    inference(avatar_contradiction_clause,[],[f372]) ).

fof(f372,plain,
    ( $false
    | ~ spl39_15
    | ~ spl39_34 ),
    inference(subsumption_resolution,[],[f371,f150]) ).

fof(f371,plain,
    ( ! [X4] : q(X4)
    | ~ spl39_15
    | ~ spl39_34 ),
    inference(subsumption_resolution,[],[f247,f150]) ).

fof(f247,plain,
    ( ! [X4] :
        ( q(sK17(X4))
        | q(X4) )
    | ~ spl39_34 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl39_34
  <=> ! [X4] :
        ( q(sK17(X4))
        | q(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_34])]) ).

fof(f370,plain,
    ( ~ spl39_30
    | ~ spl39_42 ),
    inference(avatar_contradiction_clause,[],[f369]) ).

fof(f369,plain,
    ( $false
    | ~ spl39_30
    | ~ spl39_42 ),
    inference(subsumption_resolution,[],[f230,f289]) ).

fof(f368,plain,
    ( ~ spl39_15
    | ~ spl39_16 ),
    inference(avatar_contradiction_clause,[],[f367]) ).

fof(f367,plain,
    ( $false
    | ~ spl39_15
    | ~ spl39_16 ),
    inference(subsumption_resolution,[],[f155,f150]) ).

fof(f155,plain,
    ( q(sK9)
    | ~ spl39_16 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl39_16
  <=> q(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_16])]) ).

fof(f366,plain,
    ( ~ spl39_18
    | ~ spl39_27 ),
    inference(avatar_contradiction_clause,[],[f365]) ).

fof(f365,plain,
    ( $false
    | ~ spl39_18
    | ~ spl39_27 ),
    inference(subsumption_resolution,[],[f164,f216]) ).

fof(f364,plain,
    ( ~ spl39_5
    | ~ spl39_10 ),
    inference(avatar_contradiction_clause,[],[f363]) ).

fof(f363,plain,
    ( $false
    | ~ spl39_5
    | ~ spl39_10 ),
    inference(subsumption_resolution,[],[f362,f121]) ).

fof(f362,plain,
    ( ! [X0] : sP1(X0)
    | ~ spl39_5 ),
    inference(subsumption_resolution,[],[f353,f99]) ).

fof(f99,plain,
    ( ! [X1] : p(X1)
    | ~ spl39_5 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl39_5
  <=> ! [X1] : p(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_5])]) ).

fof(f353,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | sP1(X0) )
    | ~ spl39_5 ),
    inference(resolution,[],[f62,f99]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ p(sK4(X0))
      | ~ p(X0)
      | sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f347,plain,
    ( ~ spl39_5
    | spl39_44 ),
    inference(avatar_contradiction_clause,[],[f344]) ).

fof(f344,plain,
    ( $false
    | ~ spl39_5
    | spl39_44 ),
    inference(unit_resulting_resolution,[],[f99,f299]) ).

fof(f299,plain,
    ( ~ p(sK30)
    | spl39_44 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl39_44
  <=> p(sK30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_44])]) ).

fof(f343,plain,
    ( ~ spl39_7
    | ~ spl39_10 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl39_7
    | ~ spl39_10 ),
    inference(subsumption_resolution,[],[f108,f121]) ).

fof(f108,plain,
    ( sP1(sK0)
    | ~ spl39_7 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl39_7
  <=> sP1(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_7])]) ).

fof(f341,plain,
    ( ~ spl39_2
    | ~ spl39_5 ),
    inference(avatar_contradiction_clause,[],[f340]) ).

fof(f340,plain,
    ( $false
    | ~ spl39_2
    | ~ spl39_5 ),
    inference(subsumption_resolution,[],[f87,f99]) ).

fof(f339,plain,
    ( spl39_40
    | spl39_51 ),
    inference(avatar_split_clause,[],[f5,f337,f276]) ).

fof(f276,plain,
    ( spl39_40
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_40])]) ).

fof(f5,plain,
    ! [X12] :
      ( s(sK32(X12))
      | s(X12)
      | sP27 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f335,plain,
    ( spl39_40
    | spl39_50 ),
    inference(avatar_split_clause,[],[f6,f333,f276]) ).

fof(f6,plain,
    ! [X12] :
      ( ~ s(sK32(X12))
      | ~ s(X12)
      | sP27 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f331,plain,
    ( ~ spl39_40
    | spl39_49
    | spl39_42 ),
    inference(avatar_split_clause,[],[f7,f288,f327,f276]) ).

fof(f327,plain,
    ( spl39_49
  <=> s(sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_49])]) ).

fof(f7,plain,
    ! [X13] :
      ( ~ s(X13)
      | s(sK31)
      | ~ sP27 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f330,plain,
    ( ~ spl39_40
    | ~ spl39_49
    | spl39_30 ),
    inference(avatar_split_clause,[],[f8,f229,f327,f276]) ).

fof(f8,plain,
    ! [X13] :
      ( s(X13)
      | ~ s(sK31)
      | ~ sP27 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f325,plain,
    ( ~ spl39_46
    | spl39_32 ),
    inference(avatar_split_clause,[],[f9,f237,f307]) ).

fof(f307,plain,
    ( spl39_46
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_46])]) ).

fof(f9,plain,
    ! [X15] :
      ( q(X15)
      | ~ sP34 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f324,plain,
    ( spl39_46
    | ~ spl39_48 ),
    inference(avatar_split_clause,[],[f10,f321,f307]) ).

fof(f10,plain,
    ( ~ q(sK36)
    | sP34 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f319,plain,
    ( ~ spl39_45
    | spl39_47 ),
    inference(avatar_split_clause,[],[f11,f316,f303]) ).

fof(f303,plain,
    ( spl39_45
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_45])]) ).

fof(f11,plain,
    ( p(sK35)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f314,plain,
    ( spl39_45
    | spl39_2 ),
    inference(avatar_split_clause,[],[f12,f86,f303]) ).

fof(f12,plain,
    ! [X14] :
      ( ~ p(X14)
      | sP33 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f313,plain,
    ( spl39_41
    | spl39_45
    | spl39_46 ),
    inference(avatar_split_clause,[],[f13,f307,f303,f280]) ).

fof(f280,plain,
    ( spl39_41
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_41])]) ).

fof(f13,plain,
    ( sP34
    | sP33
    | sP28 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f312,plain,
    ( spl39_41
    | ~ spl39_45
    | ~ spl39_46 ),
    inference(avatar_split_clause,[],[f14,f307,f303,f280]) ).

fof(f14,plain,
    ( ~ sP34
    | ~ sP33
    | sP28 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f311,plain,
    ( ~ spl39_41
    | spl39_45
    | ~ spl39_46 ),
    inference(avatar_split_clause,[],[f15,f307,f303,f280]) ).

fof(f15,plain,
    ( ~ sP34
    | sP33
    | ~ sP28 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f310,plain,
    ( ~ spl39_41
    | ~ spl39_45
    | spl39_46 ),
    inference(avatar_split_clause,[],[f16,f307,f303,f280]) ).

fof(f16,plain,
    ( sP34
    | ~ sP33
    | ~ sP28 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f301,plain,
    ( ~ spl39_39
    | spl39_5 ),
    inference(avatar_split_clause,[],[f17,f98,f268]) ).

fof(f268,plain,
    ( spl39_39
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_39])]) ).

fof(f17,plain,
    ! [X11] :
      ( p(X11)
      | ~ sP26 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f300,plain,
    ( spl39_39
    | ~ spl39_44 ),
    inference(avatar_split_clause,[],[f18,f297,f268]) ).

fof(f18,plain,
    ( ~ p(sK30)
    | sP26 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f295,plain,
    ( ~ spl39_38
    | spl39_43 ),
    inference(avatar_split_clause,[],[f19,f292,f264]) ).

fof(f264,plain,
    ( spl39_38
  <=> sP25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_38])]) ).

fof(f19,plain,
    ( s(sK29)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f290,plain,
    ( spl39_38
    | spl39_42 ),
    inference(avatar_split_clause,[],[f20,f288,f264]) ).

fof(f20,plain,
    ! [X10] :
      ( ~ s(X10)
      | sP25 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f286,plain,
    ( spl39_26
    | spl39_40
    | spl39_41 ),
    inference(avatar_split_clause,[],[f21,f280,f276,f207]) ).

fof(f207,plain,
    ( spl39_26
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_26])]) ).

fof(f21,plain,
    ( sP28
    | sP27
    | sP22 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f285,plain,
    ( spl39_26
    | ~ spl39_40
    | ~ spl39_41 ),
    inference(avatar_split_clause,[],[f22,f280,f276,f207]) ).

fof(f22,plain,
    ( ~ sP28
    | ~ sP27
    | sP22 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f284,plain,
    ( ~ spl39_26
    | spl39_40
    | ~ spl39_41 ),
    inference(avatar_split_clause,[],[f23,f280,f276,f207]) ).

fof(f23,plain,
    ( ~ sP28
    | sP27
    | ~ sP22 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f283,plain,
    ( ~ spl39_26
    | ~ spl39_40
    | spl39_41 ),
    inference(avatar_split_clause,[],[f24,f280,f276,f207]) ).

fof(f24,plain,
    ( sP28
    | ~ sP27
    | ~ sP22 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f274,plain,
    ( spl39_25
    | spl39_38
    | spl39_39 ),
    inference(avatar_split_clause,[],[f25,f268,f264,f203]) ).

fof(f203,plain,
    ( spl39_25
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_25])]) ).

fof(f25,plain,
    ( sP26
    | sP25
    | sP21 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f273,plain,
    ( spl39_25
    | ~ spl39_38
    | ~ spl39_39 ),
    inference(avatar_split_clause,[],[f26,f268,f264,f203]) ).

fof(f26,plain,
    ( ~ sP26
    | ~ sP25
    | sP21 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f272,plain,
    ( ~ spl39_25
    | spl39_38
    | ~ spl39_39 ),
    inference(avatar_split_clause,[],[f27,f268,f264,f203]) ).

fof(f27,plain,
    ( ~ sP26
    | sP25
    | ~ sP21 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f271,plain,
    ( ~ spl39_25
    | ~ spl39_38
    | spl39_39 ),
    inference(avatar_split_clause,[],[f28,f268,f264,f203]) ).

fof(f28,plain,
    ( sP26
    | ~ sP25
    | ~ sP21 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f262,plain,
    ( spl39_21
    | spl39_37 ),
    inference(avatar_split_clause,[],[f29,f260,f179]) ).

fof(f179,plain,
    ( spl39_21
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_21])]) ).

fof(f29,plain,
    ! [X8] :
      ( r(sK20(X8))
      | r(X8)
      | sP13 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f258,plain,
    ( spl39_21
    | spl39_36 ),
    inference(avatar_split_clause,[],[f30,f256,f179]) ).

fof(f30,plain,
    ! [X8] :
      ( ~ r(sK20(X8))
      | ~ r(X8)
      | sP13 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f254,plain,
    ( ~ spl39_21
    | spl39_35
    | spl39_27 ),
    inference(avatar_split_clause,[],[f31,f215,f250,f179]) ).

fof(f250,plain,
    ( spl39_35
  <=> r(sK16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_35])]) ).

fof(f31,plain,
    ! [X9] :
      ( ~ r(X9)
      | r(sK16)
      | ~ sP13 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f253,plain,
    ( ~ spl39_21
    | ~ spl39_35
    | spl39_18 ),
    inference(avatar_split_clause,[],[f32,f163,f250,f179]) ).

fof(f32,plain,
    ! [X9] :
      ( r(X9)
      | ~ r(sK16)
      | ~ sP13 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f248,plain,
    ( spl39_19
    | spl39_34 ),
    inference(avatar_split_clause,[],[f33,f246,f167]) ).

fof(f167,plain,
    ( spl39_19
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_19])]) ).

fof(f33,plain,
    ! [X4] :
      ( q(sK17(X4))
      | q(X4)
      | sP11 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f244,plain,
    ( spl39_19
    | spl39_33 ),
    inference(avatar_split_clause,[],[f34,f242,f167]) ).

fof(f34,plain,
    ! [X4] :
      ( ~ q(sK17(X4))
      | ~ q(X4)
      | sP11 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f240,plain,
    ( ~ spl39_19
    | spl39_31
    | spl39_15 ),
    inference(avatar_split_clause,[],[f35,f149,f233,f167]) ).

fof(f233,plain,
    ( spl39_31
  <=> q(sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_31])]) ).

fof(f35,plain,
    ! [X5] :
      ( ~ q(X5)
      | q(sK15)
      | ~ sP11 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f239,plain,
    ( ~ spl39_19
    | ~ spl39_31
    | spl39_32 ),
    inference(avatar_split_clause,[],[f36,f237,f233,f167]) ).

fof(f36,plain,
    ! [X5] :
      ( q(X5)
      | ~ q(sK15)
      | ~ sP11 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f231,plain,
    ( ~ spl39_24
    | spl39_30 ),
    inference(avatar_split_clause,[],[f37,f229,f195]) ).

fof(f195,plain,
    ( spl39_24
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_24])]) ).

fof(f37,plain,
    ! [X7] :
      ( s(X7)
      | ~ sP19 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f227,plain,
    ( spl39_24
    | ~ spl39_29 ),
    inference(avatar_split_clause,[],[f38,f224,f195]) ).

fof(f38,plain,
    ( ~ s(sK24)
    | sP19 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f222,plain,
    ( ~ spl39_23
    | spl39_28 ),
    inference(avatar_split_clause,[],[f39,f219,f191]) ).

fof(f191,plain,
    ( spl39_23
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_23])]) ).

fof(f39,plain,
    ( r(sK23)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f217,plain,
    ( spl39_23
    | spl39_27 ),
    inference(avatar_split_clause,[],[f40,f215,f191]) ).

fof(f40,plain,
    ! [X6] :
      ( ~ r(X6)
      | sP18 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f213,plain,
    ( spl39_22
    | spl39_25
    | spl39_26 ),
    inference(avatar_split_clause,[],[f41,f207,f203,f183]) ).

fof(f183,plain,
    ( spl39_22
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_22])]) ).

fof(f41,plain,
    ( sP22
    | sP21
    | sP14 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f212,plain,
    ( spl39_22
    | ~ spl39_25
    | ~ spl39_26 ),
    inference(avatar_split_clause,[],[f42,f207,f203,f183]) ).

fof(f42,plain,
    ( ~ sP22
    | ~ sP21
    | sP14 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f211,plain,
    ( ~ spl39_22
    | spl39_25
    | ~ spl39_26 ),
    inference(avatar_split_clause,[],[f43,f207,f203,f183]) ).

fof(f43,plain,
    ( ~ sP22
    | sP21
    | ~ sP14 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f210,plain,
    ( ~ spl39_22
    | ~ spl39_25
    | spl39_26 ),
    inference(avatar_split_clause,[],[f44,f207,f203,f183]) ).

fof(f44,plain,
    ( sP22
    | ~ sP21
    | ~ sP14 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f201,plain,
    ( spl39_20
    | spl39_23
    | spl39_24 ),
    inference(avatar_split_clause,[],[f45,f195,f191,f171]) ).

fof(f171,plain,
    ( spl39_20
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_20])]) ).

fof(f45,plain,
    ( sP19
    | sP18
    | sP12 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f200,plain,
    ( spl39_20
    | ~ spl39_23
    | ~ spl39_24 ),
    inference(avatar_split_clause,[],[f46,f195,f191,f171]) ).

fof(f46,plain,
    ( ~ sP19
    | ~ sP18
    | sP12 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f199,plain,
    ( ~ spl39_20
    | spl39_23
    | ~ spl39_24 ),
    inference(avatar_split_clause,[],[f47,f195,f191,f171]) ).

fof(f47,plain,
    ( ~ sP19
    | sP18
    | ~ sP12 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f198,plain,
    ( ~ spl39_20
    | ~ spl39_23
    | spl39_24 ),
    inference(avatar_split_clause,[],[f48,f195,f191,f171]) ).

fof(f48,plain,
    ( sP19
    | ~ sP18
    | ~ sP12 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f189,plain,
    ( spl39_14
    | spl39_21
    | spl39_22 ),
    inference(avatar_split_clause,[],[f49,f183,f179,f141]) ).

fof(f141,plain,
    ( spl39_14
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_14])]) ).

fof(f49,plain,
    ( sP14
    | sP13
    | sP8 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f188,plain,
    ( spl39_14
    | ~ spl39_21
    | ~ spl39_22 ),
    inference(avatar_split_clause,[],[f50,f183,f179,f141]) ).

fof(f50,plain,
    ( ~ sP14
    | ~ sP13
    | sP8 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f187,plain,
    ( ~ spl39_14
    | spl39_21
    | ~ spl39_22 ),
    inference(avatar_split_clause,[],[f51,f183,f179,f141]) ).

fof(f51,plain,
    ( ~ sP14
    | sP13
    | ~ sP8 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f186,plain,
    ( ~ spl39_14
    | ~ spl39_21
    | spl39_22 ),
    inference(avatar_split_clause,[],[f52,f183,f179,f141]) ).

fof(f52,plain,
    ( sP14
    | ~ sP13
    | ~ sP8 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f177,plain,
    ( spl39_13
    | spl39_19
    | spl39_20 ),
    inference(avatar_split_clause,[],[f53,f171,f167,f137]) ).

fof(f137,plain,
    ( spl39_13
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_13])]) ).

fof(f53,plain,
    ( sP12
    | sP11
    | sP7 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f176,plain,
    ( spl39_13
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(avatar_split_clause,[],[f54,f171,f167,f137]) ).

fof(f54,plain,
    ( ~ sP12
    | ~ sP11
    | sP7 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f175,plain,
    ( ~ spl39_13
    | spl39_19
    | ~ spl39_20 ),
    inference(avatar_split_clause,[],[f55,f171,f167,f137]) ).

fof(f55,plain,
    ( ~ sP12
    | sP11
    | ~ sP7 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f174,plain,
    ( ~ spl39_13
    | ~ spl39_19
    | spl39_20 ),
    inference(avatar_split_clause,[],[f56,f171,f167,f137]) ).

fof(f56,plain,
    ( sP12
    | ~ sP11
    | ~ sP7 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f165,plain,
    ( ~ spl39_12
    | spl39_18 ),
    inference(avatar_split_clause,[],[f57,f163,f129]) ).

fof(f129,plain,
    ( spl39_12
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_12])]) ).

fof(f57,plain,
    ! [X3] :
      ( r(X3)
      | ~ sP6 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f161,plain,
    ( spl39_12
    | ~ spl39_17 ),
    inference(avatar_split_clause,[],[f58,f158,f129]) ).

fof(f58,plain,
    ( ~ r(sK10)
    | sP6 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f156,plain,
    ( ~ spl39_11
    | spl39_16 ),
    inference(avatar_split_clause,[],[f59,f153,f125]) ).

fof(f125,plain,
    ( spl39_11
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_11])]) ).

fof(f59,plain,
    ( q(sK9)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f151,plain,
    ( spl39_11
    | spl39_15 ),
    inference(avatar_split_clause,[],[f60,f149,f125]) ).

fof(f60,plain,
    ! [X2] :
      ( ~ q(X2)
      | sP5 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f147,plain,
    ( spl39_9
    | spl39_13
    | spl39_14 ),
    inference(avatar_split_clause,[],[f65,f141,f137,f114]) ).

fof(f114,plain,
    ( spl39_9
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_9])]) ).

fof(f65,plain,
    ( sP8
    | sP7
    | sP3 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f146,plain,
    ( spl39_9
    | ~ spl39_13
    | ~ spl39_14 ),
    inference(avatar_split_clause,[],[f66,f141,f137,f114]) ).

fof(f66,plain,
    ( ~ sP8
    | ~ sP7
    | sP3 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f145,plain,
    ( ~ spl39_9
    | spl39_13
    | ~ spl39_14 ),
    inference(avatar_split_clause,[],[f67,f141,f137,f114]) ).

fof(f67,plain,
    ( ~ sP8
    | sP7
    | ~ sP3 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f144,plain,
    ( ~ spl39_9
    | ~ spl39_13
    | spl39_14 ),
    inference(avatar_split_clause,[],[f68,f141,f137,f114]) ).

fof(f68,plain,
    ( sP8
    | ~ sP7
    | ~ sP3 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f135,plain,
    ( spl39_8
    | spl39_11
    | spl39_12 ),
    inference(avatar_split_clause,[],[f69,f129,f125,f110]) ).

fof(f110,plain,
    ( spl39_8
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_8])]) ).

fof(f69,plain,
    ( sP6
    | sP5
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f134,plain,
    ( spl39_8
    | ~ spl39_11
    | ~ spl39_12 ),
    inference(avatar_split_clause,[],[f70,f129,f125,f110]) ).

fof(f70,plain,
    ( ~ sP6
    | ~ sP5
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f133,plain,
    ( ~ spl39_8
    | spl39_11
    | ~ spl39_12 ),
    inference(avatar_split_clause,[],[f71,f129,f125,f110]) ).

fof(f71,plain,
    ( ~ sP6
    | sP5
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f132,plain,
    ( ~ spl39_8
    | ~ spl39_11
    | spl39_12 ),
    inference(avatar_split_clause,[],[f72,f129,f125,f110]) ).

fof(f72,plain,
    ( sP6
    | ~ sP5
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f123,plain,
    ( spl39_10
    | spl39_8
    | spl39_9 ),
    inference(avatar_split_clause,[],[f73,f114,f110,f120]) ).

fof(f73,plain,
    ! [X0] :
      ( sP3
      | sP2
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f122,plain,
    ( spl39_10
    | ~ spl39_8
    | ~ spl39_9 ),
    inference(avatar_split_clause,[],[f74,f114,f110,f120]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ sP3
      | ~ sP2
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f118,plain,
    ( spl39_7
    | spl39_8
    | ~ spl39_9 ),
    inference(avatar_split_clause,[],[f75,f114,f110,f106]) ).

fof(f75,plain,
    ( ~ sP3
    | sP2
    | sP1(sK0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f117,plain,
    ( spl39_7
    | ~ spl39_8
    | spl39_9 ),
    inference(avatar_split_clause,[],[f76,f114,f110,f106]) ).

fof(f76,plain,
    ( sP3
    | ~ sP2
    | sP1(sK0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f104,plain,
    ( spl39_4
    | spl39_6 ),
    inference(avatar_split_clause,[],[f77,f102,f94]) ).

fof(f94,plain,
    ( spl39_4
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_4])]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ p(X0)
      | ~ sP1(X0)
      | sP37 ),
    inference(cnf_transformation,[],[f77_D]) ).

fof(f77_D,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ sP1(X0) )
  <=> ~ sP37 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).

fof(f100,plain,
    ( ~ spl39_4
    | spl39_5 ),
    inference(avatar_split_clause,[],[f78,f98,f94]) ).

fof(f78,plain,
    ! [X1] :
      ( p(X1)
      | ~ sP37 ),
    inference(general_splitting,[],[f64,f77_D]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( p(X1)
      | ~ p(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f92,plain,
    ( spl39_1
    | spl39_3 ),
    inference(avatar_split_clause,[],[f79,f90,f82]) ).

fof(f82,plain,
    ( spl39_1
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_1])]) ).

fof(f79,plain,
    ! [X0] :
      ( p(X0)
      | ~ sP1(X0)
      | sP38 ),
    inference(cnf_transformation,[],[f79_D]) ).

fof(f79_D,plain,
    ( ! [X0] :
        ( p(X0)
        | ~ sP1(X0) )
  <=> ~ sP38 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).

fof(f88,plain,
    ( ~ spl39_1
    | spl39_2 ),
    inference(avatar_split_clause,[],[f80,f86,f82]) ).

fof(f80,plain,
    ! [X1] :
      ( ~ p(X1)
      | ~ sP38 ),
    inference(general_splitting,[],[f63,f79_D]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ p(X1)
      | p(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.17  % Problem    : SYN723+1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.18  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.39  % Computer : n019.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8042.1875MB
% 0.14/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit   : 300
% 0.14/0.39  % WCLimit    : 300
% 0.14/0.39  % DateTime   : Fri May  3 17:35:23 EDT 2024
% 0.14/0.40  % CPUTime    : 
% 0.14/0.40  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.40  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.wDkvkoBaS5/Vampire---4.8_31904
% 0.57/0.78  % (32020)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.78  % (32014)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.78  % (32016)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.78  % (32015)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.78  % (32017)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.78  % (32018)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.78  % (32019)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.78  % (32018)Refutation not found, incomplete strategy% (32018)------------------------------
% 0.57/0.78  % (32018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (32018)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (32018)Memory used [KB]: 1114
% 0.57/0.78  % (32018)Time elapsed: 0.004 s
% 0.57/0.78  % (32018)Instructions burned: 4 (million)
% 0.57/0.78  % (32020)First to succeed.
% 0.57/0.78  % (32018)------------------------------
% 0.57/0.78  % (32018)------------------------------
% 0.57/0.78  % (32019)Refutation not found, incomplete strategy% (32019)------------------------------
% 0.57/0.78  % (32019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (32019)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (32019)Memory used [KB]: 1109
% 0.57/0.78  % (32019)Time elapsed: 0.004 s
% 0.57/0.78  % (32019)Instructions burned: 4 (million)
% 0.57/0.78  % (32019)------------------------------
% 0.57/0.78  % (32019)------------------------------
% 0.57/0.78  % (32020)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32013"
% 0.57/0.79  % (32022)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.79  % (32020)Refutation found. Thanks to Tanya!
% 0.57/0.79  % SZS status Theorem for Vampire---4
% 0.57/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.79  % (32020)------------------------------
% 0.57/0.79  % (32020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (32020)Termination reason: Refutation
% 0.57/0.79  
% 0.57/0.79  % (32020)Memory used [KB]: 1179
% 0.57/0.79  % (32020)Time elapsed: 0.007 s
% 0.57/0.79  % (32020)Instructions burned: 15 (million)
% 0.57/0.79  % (32013)Success in time 0.377 s
% 0.57/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------