TSTP Solution File: SYN007+1.014 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN007+1.014 : TPTP v8.1.0. Released v1.0.0.
% 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 : n004.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 19:25:11 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  312 (   1 unt;   0 def)
%            Number of atoms       : 1237 (   0 equ)
%            Maximal formula atoms :   46 (   3 avg)
%            Number of connectives : 1426 ( 501   ~; 670   |;  85   &)
%                                         ( 168 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   77 (  76 usr;  77 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f426,plain,
    $false,
    inference(avatar_sat_refutation,[],[f176,f197,f198,f199,f200,f213,f214,f227,f236,f237,f242,f243,f244,f257,f258,f263,f272,f273,f286,f291,f296,f305,f314,f315,f320,f321,f322,f323,f324,f325,f326,f331,f332,f341,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f376,f377,f378,f379,f380,f381,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f425]) ).

fof(f425,plain,
    ( spl24_14
    | spl24_1 ),
    inference(avatar_split_clause,[],[f162,f165,f224]) ).

fof(f224,plain,
    ( spl24_14
  <=> p_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).

fof(f165,plain,
    ( spl24_1
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).

fof(f162,plain,
    ( sP23
    | p_1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( ~ sP23
      | ~ p_1 )
    & ( sP23
      | p_1 ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( p_1
  <~> sP23 ),
    inference(definition_folding,[],[f3,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4]) ).

fof(f4,plain,
    ( sP0
  <=> ( ( ( p_13
        <=> p_14 )
      <=> p_12 )
    <=> p_11 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f5,plain,
    ( sP1
  <=> ( p_10
    <=> sP0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f6,plain,
    ( sP2
  <=> ( sP1
    <=> p_9 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f7,plain,
    ( sP3
  <=> ( sP2
    <=> p_8 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f8,plain,
    ( sP4
  <=> ( p_7
    <=> sP3 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f9,plain,
    ( sP5
  <=> ( p_6
    <=> sP4 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f10,plain,
    ( sP6
  <=> ( sP5
    <=> p_5 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f11,plain,
    ( sP7
  <=> ( p_4
    <=> sP6 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f12,plain,
    ( sP8
  <=> ( sP7
    <=> p_3 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f13,plain,
    ( sP9
  <=> ( sP8
    <=> p_2 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f14,plain,
    ( sP10
  <=> ( sP9
    <=> p_1 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f15,plain,
    ( sP11
  <=> ( p_14
    <=> sP10 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f16,plain,
    ( sP12
  <=> ( sP11
    <=> p_13 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f17,plain,
    ( sP13
  <=> ( sP12
    <=> p_12 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f18,plain,
    ( sP14
  <=> ( sP13
    <=> p_11 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f19,plain,
    ( sP15
  <=> ( sP14
    <=> p_10 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f20,plain,
    ( sP16
  <=> ( p_9
    <=> sP15 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f21,plain,
    ( sP17
  <=> ( p_8
    <=> sP16 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f22,plain,
    ( sP18
  <=> ( sP17
    <=> p_7 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f23,plain,
    ( sP19
  <=> ( sP18
    <=> p_6 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f24,plain,
    ( sP20
  <=> ( sP19
    <=> p_5 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f25,plain,
    ( sP21
  <=> ( p_4
    <=> sP20 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f26,plain,
    ( sP22
  <=> ( sP21
    <=> p_3 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f27,plain,
    ( sP23
  <=> ( p_2
    <=> sP22 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f3,plain,
    ( p_1
  <~> ( p_2
    <=> ( ( p_4
        <=> ( ( ( ( p_8
                <=> ( p_9
                  <=> ( ( ( ( ( p_14
                            <=> ( ( ( ( p_4
                                    <=> ( ( p_6
                                        <=> ( p_7
                                          <=> ( ( ( p_10
                                                <=> ( ( ( p_13
                                                      <=> p_14 )
                                                    <=> p_12 )
                                                  <=> p_11 ) )
                                              <=> p_9 )
                                            <=> p_8 ) ) )
                                      <=> p_5 ) )
                                  <=> p_3 )
                                <=> p_2 )
                              <=> p_1 ) )
                          <=> p_13 )
                        <=> p_12 )
                      <=> p_11 )
                    <=> p_10 ) ) )
              <=> p_7 )
            <=> p_6 )
          <=> p_5 ) )
      <=> p_3 ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( p_1
    <=> ( p_2
      <=> ( ( p_4
          <=> ( ( ( ( p_8
                  <=> ( p_9
                    <=> ( ( ( ( ( p_14
                              <=> ( ( ( ( p_4
                                      <=> ( ( p_6
                                          <=> ( p_7
                                            <=> ( ( ( p_10
                                                  <=> ( ( ( p_13
                                                        <=> p_14 )
                                                      <=> p_12 )
                                                    <=> p_11 ) )
                                                <=> p_9 )
                                              <=> p_8 ) ) )
                                        <=> p_5 ) )
                                    <=> p_3 )
                                  <=> p_2 )
                                <=> p_1 ) )
                            <=> p_13 )
                          <=> p_12 )
                        <=> p_11 )
                      <=> p_10 ) ) )
                <=> p_7 )
              <=> p_6 )
            <=> p_5 ) )
        <=> p_3 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( p_1
  <=> ( p_2
    <=> ( ( p_4
        <=> ( ( ( ( p_8
                <=> ( p_9
                  <=> ( ( ( ( ( p_14
                            <=> ( ( ( ( p_4
                                    <=> ( ( p_6
                                        <=> ( p_7
                                          <=> ( ( ( p_10
                                                <=> ( ( ( p_13
                                                      <=> p_14 )
                                                    <=> p_12 )
                                                  <=> p_11 ) )
                                              <=> p_9 )
                                            <=> p_8 ) ) )
                                      <=> p_5 ) )
                                  <=> p_3 )
                                <=> p_2 )
                              <=> p_1 ) )
                          <=> p_13 )
                        <=> p_12 )
                      <=> p_11 )
                    <=> p_10 ) ) )
              <=> p_7 )
            <=> p_6 )
          <=> p_5 ) )
      <=> p_3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f424,plain,
    ( spl24_36
    | ~ spl24_27
    | ~ spl24_20 ),
    inference(avatar_split_clause,[],[f114,f254,f288,f338]) ).

fof(f338,plain,
    ( spl24_36
  <=> p_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_36])]) ).

fof(f288,plain,
    ( spl24_27
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_27])]) ).

fof(f254,plain,
    ( spl24_20
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).

fof(f114,plain,
    ( ~ sP7
    | ~ sP8
    | p_3 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( sP8
      | ( ( ~ p_3
          | ~ sP7 )
        & ( p_3
          | sP7 ) ) )
    & ( ( ( sP7
          | ~ p_3 )
        & ( p_3
          | ~ sP7 ) )
      | ~ sP8 ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f423,plain,
    ( ~ spl24_4
    | ~ spl24_7
    | ~ spl24_5
    | ~ spl24_8
    | spl24_6 ),
    inference(avatar_split_clause,[],[f153,f186,f194,f182,f190,f178]) ).

fof(f178,plain,
    ( spl24_4
  <=> p_14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).

fof(f190,plain,
    ( spl24_7
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).

fof(f182,plain,
    ( spl24_5
  <=> p_11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).

fof(f194,plain,
    ( spl24_8
  <=> p_12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).

fof(f186,plain,
    ( spl24_6
  <=> p_13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).

fof(f153,plain,
    ( p_13
    | ~ p_12
    | ~ p_11
    | ~ sP0
    | ~ p_14 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( sP0
      | ( ( ~ p_11
          | ( ( ~ p_12
              | ( ( ~ p_14
                  | ~ p_13 )
                & ( p_14
                  | p_13 ) ) )
            & ( p_12
              | ( ( p_13
                  | ~ p_14 )
                & ( p_14
                  | ~ p_13 ) ) ) ) )
        & ( p_11
          | ( ( ( ( p_13
                  | ~ p_14 )
                & ( p_14
                  | ~ p_13 ) )
              | ~ p_12 )
            & ( p_12
              | ( ( ~ p_14
                  | ~ p_13 )
                & ( p_14
                  | p_13 ) ) ) ) ) ) )
    & ( ( ( ( ( ( ( p_13
                  | ~ p_14 )
                & ( p_14
                  | ~ p_13 ) )
              | ~ p_12 )
            & ( p_12
              | ( ( ~ p_14
                  | ~ p_13 )
                & ( p_14
                  | p_13 ) ) ) )
          | ~ p_11 )
        & ( p_11
          | ( ( ~ p_12
              | ( ( ~ p_14
                  | ~ p_13 )
                & ( p_14
                  | p_13 ) ) )
            & ( p_12
              | ( ( p_13
                  | ~ p_14 )
                & ( p_14
                  | ~ p_13 ) ) ) ) ) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f422,plain,
    ( ~ spl24_7
    | ~ spl24_6
    | ~ spl24_5
    | ~ spl24_4
    | spl24_8 ),
    inference(avatar_split_clause,[],[f151,f194,f178,f182,f186,f190]) ).

fof(f151,plain,
    ( p_12
    | ~ p_14
    | ~ p_11
    | ~ p_13
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f421,plain,
    ( spl24_33
    | ~ spl24_23
    | ~ spl24_30 ),
    inference(avatar_split_clause,[],[f138,f302,f269,f317]) ).

fof(f317,plain,
    ( spl24_33
  <=> p_9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_33])]) ).

fof(f269,plain,
    ( spl24_23
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_23])]) ).

fof(f302,plain,
    ( spl24_30
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_30])]) ).

fof(f138,plain,
    ( ~ sP1
    | ~ sP2
    | p_9 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ( sP2
      | ( ( ~ p_9
          | ~ sP1 )
        & ( p_9
          | sP1 ) ) )
    & ( ( ( sP1
          | ~ p_9 )
        & ( p_9
          | ~ sP1 ) )
      | ~ sP2 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( spl24_26
    | ~ spl24_25
    | ~ spl24_24 ),
    inference(avatar_split_clause,[],[f69,f275,f279,f283]) ).

fof(f283,plain,
    ( spl24_26
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_26])]) ).

fof(f279,plain,
    ( spl24_25
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).

fof(f275,plain,
    ( spl24_24
  <=> p_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_24])]) ).

fof(f69,plain,
    ( ~ p_5
    | ~ sP19
    | sP20 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ( sP20
      | ( ( ~ p_5
          | ~ sP19 )
        & ( p_5
          | sP19 ) ) )
    & ( ( ( sP19
          | ~ p_5 )
        & ( p_5
          | ~ sP19 ) )
      | ~ sP20 ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f419,plain,
    ( spl24_24
    | spl24_19
    | spl24_28 ),
    inference(avatar_split_clause,[],[f124,f293,f250,f275]) ).

fof(f250,plain,
    ( spl24_19
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).

fof(f293,plain,
    ( spl24_28
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).

fof(f124,plain,
    ( sP5
    | sP6
    | p_5 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( ( sP6
      | ( ( ~ p_5
          | ~ sP5 )
        & ( p_5
          | sP5 ) ) )
    & ( ( ( sP5
          | ~ p_5 )
        & ( p_5
          | ~ sP5 ) )
      | ~ sP6 ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f418,plain,
    ( ~ spl24_20
    | ~ spl24_19
    | spl24_18 ),
    inference(avatar_split_clause,[],[f119,f246,f250,f254]) ).

fof(f246,plain,
    ( spl24_18
  <=> p_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).

fof(f119,plain,
    ( p_4
    | ~ sP6
    | ~ sP7 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( sP7
      | ( ( ~ sP6
          | ~ p_4 )
        & ( sP6
          | p_4 ) ) )
    & ( ( ( p_4
          | ~ sP6 )
        & ( sP6
          | ~ p_4 ) )
      | ~ sP7 ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f417,plain,
    ( ~ spl24_14
    | ~ spl24_12
    | spl24_13 ),
    inference(avatar_split_clause,[],[f107,f220,f216,f224]) ).

fof(f216,plain,
    ( spl24_12
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).

fof(f220,plain,
    ( spl24_13
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).

fof(f107,plain,
    ( sP9
    | ~ sP10
    | ~ p_1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ( sP10
      | ( ( ~ p_1
          | ~ sP9 )
        & ( p_1
          | sP9 ) ) )
    & ( ( ( sP9
          | ~ p_1 )
        & ( p_1
          | ~ sP9 ) )
      | ~ sP10 ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f416,plain,
    ( ~ spl24_24
    | spl24_19
    | ~ spl24_28 ),
    inference(avatar_split_clause,[],[f125,f293,f250,f275]) ).

fof(f125,plain,
    ( ~ sP5
    | sP6
    | ~ p_5 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f415,plain,
    ( ~ spl24_2
    | spl24_36
    | ~ spl24_35 ),
    inference(avatar_split_clause,[],[f58,f334,f338,f169]) ).

fof(f169,plain,
    ( spl24_2
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).

fof(f334,plain,
    ( spl24_35
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_35])]) ).

fof(f58,plain,
    ( ~ sP21
    | p_3
    | ~ sP22 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( ( sP22
      | ( ( ~ p_3
          | ~ sP21 )
        & ( p_3
          | sP21 ) ) )
    & ( ( ( sP21
          | ~ p_3 )
        & ( p_3
          | ~ sP21 ) )
      | ~ sP22 ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f414,plain,
    ( spl24_37
    | ~ spl24_33
    | ~ spl24_11 ),
    inference(avatar_split_clause,[],[f82,f210,f317,f343]) ).

fof(f343,plain,
    ( spl24_37
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_37])]) ).

fof(f210,plain,
    ( spl24_11
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).

fof(f82,plain,
    ( ~ sP16
    | ~ p_9
    | sP15 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ( sP16
      | ( ( ~ sP15
          | ~ p_9 )
        & ( sP15
          | p_9 ) ) )
    & ( ( ( p_9
          | ~ sP15 )
        & ( sP15
          | ~ p_9 ) )
      | ~ sP16 ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f413,plain,
    ( spl24_8
    | spl24_7
    | spl24_5
    | spl24_4
    | spl24_6 ),
    inference(avatar_split_clause,[],[f154,f186,f178,f182,f190,f194]) ).

fof(f154,plain,
    ( p_13
    | p_14
    | p_11
    | sP0
    | p_12 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f412,plain,
    ( ~ spl24_15
    | spl24_16
    | ~ spl24_5 ),
    inference(avatar_split_clause,[],[f91,f182,f233,f229]) ).

fof(f229,plain,
    ( spl24_15
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).

fof(f233,plain,
    ( spl24_16
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).

fof(f91,plain,
    ( ~ p_11
    | sP13
    | ~ sP14 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( sP14
      | ( ( ~ p_11
          | ~ sP13 )
        & ( p_11
          | sP13 ) ) )
    & ( ( ( sP13
          | ~ p_11 )
        & ( p_11
          | ~ sP13 ) )
      | ~ sP14 ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f411,plain,
    ( ~ spl24_15
    | spl24_29
    | ~ spl24_37 ),
    inference(avatar_split_clause,[],[f86,f343,f298,f229]) ).

fof(f298,plain,
    ( spl24_29
  <=> p_10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).

fof(f86,plain,
    ( ~ sP15
    | p_10
    | ~ sP14 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ( sP15
      | ( ( ~ p_10
          | ~ sP14 )
        & ( p_10
          | sP14 ) ) )
    & ( ( ( sP14
          | ~ p_10 )
        & ( p_10
          | ~ sP14 ) )
      | ~ sP15 ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f410,plain,
    ( spl24_25
    | ~ spl24_38
    | ~ spl24_32 ),
    inference(avatar_split_clause,[],[f73,f311,f359,f279]) ).

fof(f359,plain,
    ( spl24_38
  <=> p_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_38])]) ).

fof(f311,plain,
    ( spl24_32
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_32])]) ).

fof(f73,plain,
    ( ~ sP18
    | ~ p_6
    | sP19 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( ( sP19
      | ( ( ~ p_6
          | ~ sP18 )
        & ( p_6
          | sP18 ) ) )
    & ( ( ( sP18
          | ~ p_6 )
        & ( p_6
          | ~ sP18 ) )
      | ~ sP19 ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f409,plain,
    ( spl24_31
    | ~ spl24_32
    | ~ spl24_9 ),
    inference(avatar_split_clause,[],[f74,f202,f311,f307]) ).

fof(f307,plain,
    ( spl24_31
  <=> p_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_31])]) ).

fof(f202,plain,
    ( spl24_9
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).

fof(f74,plain,
    ( ~ sP17
    | ~ sP18
    | p_7 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ( sP18
      | ( ( ~ p_7
          | ~ sP17 )
        & ( p_7
          | sP17 ) ) )
    & ( ( ( sP17
          | ~ p_7 )
        & ( p_7
          | ~ sP17 ) )
      | ~ sP18 ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f408,plain,
    ( spl24_31
    | spl24_34
    | spl24_22 ),
    inference(avatar_split_clause,[],[f132,f265,f328,f307]) ).

fof(f328,plain,
    ( spl24_34
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_34])]) ).

fof(f265,plain,
    ( spl24_22
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).

fof(f132,plain,
    ( sP3
    | sP4
    | p_7 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ( sP4
      | ( ( ~ sP3
          | ~ p_7 )
        & ( sP3
          | p_7 ) ) )
    & ( ( ( p_7
          | ~ sP3 )
        & ( sP3
          | ~ p_7 ) )
      | ~ sP4 ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f407,plain,
    ( spl24_16
    | spl24_5
    | spl24_15 ),
    inference(avatar_split_clause,[],[f92,f229,f182,f233]) ).

fof(f92,plain,
    ( sP14
    | p_11
    | sP13 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f406,plain,
    ( spl24_38
    | ~ spl24_34
    | ~ spl24_28 ),
    inference(avatar_split_clause,[],[f127,f293,f328,f359]) ).

fof(f127,plain,
    ( ~ sP5
    | ~ sP4
    | p_6 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ( sP5
      | ( ( ~ sP4
          | ~ p_6 )
        & ( sP4
          | p_6 ) ) )
    & ( ( ( p_6
          | ~ sP4 )
        & ( sP4
          | ~ p_6 ) )
      | ~ sP5 ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f405,plain,
    ( ~ spl24_5
    | ~ spl24_16
    | spl24_15 ),
    inference(avatar_split_clause,[],[f93,f229,f233,f182]) ).

fof(f93,plain,
    ( sP14
    | ~ sP13
    | ~ p_11 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f404,plain,
    ( spl24_17
    | spl24_21
    | spl24_6 ),
    inference(avatar_split_clause,[],[f100,f186,f260,f239]) ).

fof(f239,plain,
    ( spl24_17
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).

fof(f260,plain,
    ( spl24_21
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_21])]) ).

fof(f100,plain,
    ( p_13
    | sP12
    | sP11 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( sP12
      | ( ( ~ p_13
          | ~ sP11 )
        & ( p_13
          | sP11 ) ) )
    & ( ( ( sP11
          | ~ p_13 )
        & ( p_13
          | ~ sP11 ) )
      | ~ sP12 ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f403,plain,
    ( spl24_16
    | spl24_8
    | spl24_21 ),
    inference(avatar_split_clause,[],[f96,f260,f194,f233]) ).

fof(f96,plain,
    ( sP12
    | p_12
    | sP13 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( sP13
      | ( ( ~ p_12
          | ~ sP12 )
        & ( p_12
          | sP12 ) ) )
    & ( ( ( sP12
          | ~ p_12 )
        & ( p_12
          | ~ sP12 ) )
      | ~ sP13 ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f402,plain,
    ( spl24_20
    | ~ spl24_36
    | ~ spl24_27 ),
    inference(avatar_split_clause,[],[f115,f288,f338,f254]) ).

fof(f115,plain,
    ( ~ sP8
    | ~ p_3
    | sP7 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f401,plain,
    ( ~ spl24_18
    | spl24_19
    | ~ spl24_20 ),
    inference(avatar_split_clause,[],[f118,f254,f250,f246]) ).

fof(f118,plain,
    ( ~ sP7
    | sP6
    | ~ p_4 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f400,plain,
    ( spl24_35
    | spl24_26
    | spl24_18 ),
    inference(avatar_split_clause,[],[f64,f246,f283,f334]) ).

fof(f64,plain,
    ( p_4
    | sP20
    | sP21 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ( sP21
      | ( ( ~ sP20
          | ~ p_4 )
        & ( sP20
          | p_4 ) ) )
    & ( ( ( p_4
          | ~ sP20 )
        & ( sP20
          | ~ p_4 ) )
      | ~ sP21 ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f399,plain,
    ( ~ spl24_32
    | spl24_38
    | ~ spl24_25 ),
    inference(avatar_split_clause,[],[f70,f279,f359,f311]) ).

fof(f70,plain,
    ( ~ sP19
    | p_6
    | ~ sP18 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f398,plain,
    ( ~ spl24_12
    | spl24_4
    | ~ spl24_17 ),
    inference(avatar_split_clause,[],[f103,f239,f178,f216]) ).

fof(f103,plain,
    ( ~ sP11
    | p_14
    | ~ sP10 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ( sP11
      | ( ( ~ sP10
          | ~ p_14 )
        & ( sP10
          | p_14 ) ) )
    & ( ( ( p_14
          | ~ sP10 )
        & ( sP10
          | ~ p_14 ) )
      | ~ sP11 ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f397,plain,
    ( spl24_7
    | ~ spl24_29
    | ~ spl24_30 ),
    inference(avatar_split_clause,[],[f142,f302,f298,f190]) ).

fof(f142,plain,
    ( ~ sP1
    | ~ p_10
    | sP0 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( ( sP1
      | ( ( ~ sP0
          | ~ p_10 )
        & ( sP0
          | p_10 ) ) )
    & ( ( ( p_10
          | ~ sP0 )
        & ( sP0
          | ~ p_10 ) )
      | ~ sP1 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f396,plain,
    ( ~ spl24_11
    | ~ spl24_9
    | spl24_10 ),
    inference(avatar_split_clause,[],[f79,f206,f202,f210]) ).

fof(f206,plain,
    ( spl24_10
  <=> p_8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).

fof(f79,plain,
    ( p_8
    | ~ sP17
    | ~ sP16 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ( sP17
      | ( ( ~ sP16
          | ~ p_8 )
        & ( sP16
          | p_8 ) ) )
    & ( ( ( p_8
          | ~ sP16 )
        & ( sP16
          | ~ p_8 ) )
      | ~ sP17 ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f395,plain,
    ( ~ spl24_13
    | spl24_14
    | ~ spl24_12 ),
    inference(avatar_split_clause,[],[f106,f216,f224,f220]) ).

fof(f106,plain,
    ( ~ sP10
    | p_1
    | ~ sP9 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f394,plain,
    ( spl24_13
    | spl24_14
    | spl24_12 ),
    inference(avatar_split_clause,[],[f108,f216,f224,f220]) ).

fof(f108,plain,
    ( sP10
    | p_1
    | sP9 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f393,plain,
    ( spl24_20
    | spl24_36
    | spl24_27 ),
    inference(avatar_split_clause,[],[f116,f288,f338,f254]) ).

fof(f116,plain,
    ( sP8
    | p_3
    | sP7 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f392,plain,
    ( ~ spl24_37
    | ~ spl24_11
    | spl24_33 ),
    inference(avatar_split_clause,[],[f83,f317,f210,f343]) ).

fof(f83,plain,
    ( p_9
    | ~ sP16
    | ~ sP15 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f391,plain,
    ( ~ spl24_31
    | spl24_22
    | ~ spl24_34 ),
    inference(avatar_split_clause,[],[f130,f328,f265,f307]) ).

fof(f130,plain,
    ( ~ sP4
    | sP3
    | ~ p_7 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f390,plain,
    ( spl24_17
    | ~ spl24_21
    | ~ spl24_6 ),
    inference(avatar_split_clause,[],[f99,f186,f260,f239]) ).

fof(f99,plain,
    ( ~ p_13
    | ~ sP12
    | sP11 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f389,plain,
    ( spl24_29
    | ~ spl24_30
    | ~ spl24_7 ),
    inference(avatar_split_clause,[],[f143,f190,f302,f298]) ).

fof(f143,plain,
    ( ~ sP0
    | ~ sP1
    | p_10 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f388,plain,
    ( spl24_31
    | spl24_32
    | spl24_9 ),
    inference(avatar_split_clause,[],[f76,f202,f311,f307]) ).

fof(f76,plain,
    ( sP17
    | sP18
    | p_7 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f387,plain,
    ( ~ spl24_26
    | spl24_25
    | ~ spl24_24 ),
    inference(avatar_split_clause,[],[f67,f275,f279,f283]) ).

fof(f67,plain,
    ( ~ p_5
    | sP19
    | ~ sP20 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f386,plain,
    ( spl24_36
    | spl24_35
    | spl24_2 ),
    inference(avatar_split_clause,[],[f60,f169,f334,f338]) ).

fof(f60,plain,
    ( sP22
    | sP21
    | p_3 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f385,plain,
    ( ~ spl24_35
    | ~ spl24_26
    | spl24_18 ),
    inference(avatar_split_clause,[],[f63,f246,f283,f334]) ).

fof(f63,plain,
    ( p_4
    | ~ sP20
    | ~ sP21 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f384,plain,
    ( ~ spl24_12
    | spl24_17
    | ~ spl24_4 ),
    inference(avatar_split_clause,[],[f105,f178,f239,f216]) ).

fof(f105,plain,
    ( ~ p_14
    | sP11
    | ~ sP10 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f383,plain,
    ( spl24_30
    | spl24_23
    | spl24_33 ),
    inference(avatar_split_clause,[],[f140,f317,f269,f302]) ).

fof(f140,plain,
    ( p_9
    | sP2
    | sP1 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f382,plain,
    ( ~ spl24_20
    | ~ spl24_36
    | spl24_27 ),
    inference(avatar_split_clause,[],[f117,f288,f338,f254]) ).

fof(f117,plain,
    ( sP8
    | ~ p_3
    | ~ sP7 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f381,plain,
    ( spl24_34
    | spl24_28
    | spl24_38 ),
    inference(avatar_split_clause,[],[f128,f359,f293,f328]) ).

fof(f128,plain,
    ( p_6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f380,plain,
    ( spl24_37
    | ~ spl24_15
    | ~ spl24_29 ),
    inference(avatar_split_clause,[],[f89,f298,f229,f343]) ).

fof(f89,plain,
    ( ~ p_10
    | ~ sP14
    | sP15 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f379,plain,
    ( spl24_13
    | spl24_3
    | spl24_27 ),
    inference(avatar_split_clause,[],[f112,f288,f173,f220]) ).

fof(f173,plain,
    ( spl24_3
  <=> p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).

fof(f112,plain,
    ( sP8
    | p_2
    | sP9 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( sP9
      | ( ( ~ p_2
          | ~ sP8 )
        & ( p_2
          | sP8 ) ) )
    & ( ( ( sP8
          | ~ p_2 )
        & ( p_2
          | ~ sP8 ) )
      | ~ sP9 ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f378,plain,
    ( spl24_22
    | spl24_23
    | spl24_10 ),
    inference(avatar_split_clause,[],[f136,f206,f269,f265]) ).

fof(f136,plain,
    ( p_8
    | sP2
    | sP3 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( sP3
      | ( ( ~ p_8
          | ~ sP2 )
        & ( p_8
          | sP2 ) ) )
    & ( ( ( sP2
          | ~ p_8 )
        & ( p_8
          | ~ sP2 ) )
      | ~ sP3 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f377,plain,
    ( ~ spl24_17
    | ~ spl24_6
    | spl24_21 ),
    inference(avatar_split_clause,[],[f101,f260,f186,f239]) ).

fof(f101,plain,
    ( sP12
    | ~ p_13
    | ~ sP11 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f376,plain,
    ( ~ spl24_18
    | spl24_26
    | ~ spl24_35 ),
    inference(avatar_split_clause,[],[f62,f334,f283,f246]) ).

fof(f62,plain,
    ( ~ sP21
    | sP20
    | ~ p_4 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f375,plain,
    ( ~ spl24_14
    | ~ spl24_1 ),
    inference(avatar_split_clause,[],[f163,f165,f224]) ).

fof(f163,plain,
    ( ~ sP23
    | ~ p_1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f374,plain,
    ( ~ spl24_4
    | spl24_6
    | spl24_7
    | ~ spl24_5
    | spl24_8 ),
    inference(avatar_split_clause,[],[f159,f194,f182,f190,f186,f178]) ).

fof(f159,plain,
    ( p_12
    | ~ p_11
    | sP0
    | p_13
    | ~ p_14 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f373,plain,
    ( ~ spl24_37
    | ~ spl24_33
    | spl24_11 ),
    inference(avatar_split_clause,[],[f85,f210,f317,f343]) ).

fof(f85,plain,
    ( sP16
    | ~ p_9
    | ~ sP15 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f372,plain,
    ( spl24_20
    | spl24_18
    | spl24_19 ),
    inference(avatar_split_clause,[],[f120,f250,f246,f254]) ).

fof(f120,plain,
    ( sP6
    | p_4
    | sP7 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f371,plain,
    ( spl24_38
    | spl24_25
    | spl24_32 ),
    inference(avatar_split_clause,[],[f72,f311,f279,f359]) ).

fof(f72,plain,
    ( sP18
    | sP19
    | p_6 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f370,plain,
    ( spl24_1
    | ~ spl24_2
    | ~ spl24_3 ),
    inference(avatar_split_clause,[],[f57,f173,f169,f165]) ).

fof(f57,plain,
    ( ~ p_2
    | ~ sP22
    | sP23 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ( sP23
      | ( ( ~ sP22
          | ~ p_2 )
        & ( sP22
          | p_2 ) ) )
    & ( ( ( p_2
          | ~ sP22 )
        & ( sP22
          | ~ p_2 ) )
      | ~ sP23 ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f369,plain,
    ( ~ spl24_26
    | spl24_35
    | ~ spl24_18 ),
    inference(avatar_split_clause,[],[f65,f246,f334,f283]) ).

fof(f65,plain,
    ( ~ p_4
    | sP21
    | ~ sP20 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f368,plain,
    ( spl24_37
    | spl24_29
    | spl24_15 ),
    inference(avatar_split_clause,[],[f88,f229,f298,f343]) ).

fof(f88,plain,
    ( sP14
    | p_10
    | sP15 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f367,plain,
    ( ~ spl24_28
    | ~ spl24_38
    | spl24_34 ),
    inference(avatar_split_clause,[],[f126,f328,f359,f293]) ).

fof(f126,plain,
    ( sP4
    | ~ p_6
    | ~ sP5 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f366,plain,
    ( spl24_24
    | ~ spl24_26
    | ~ spl24_25 ),
    inference(avatar_split_clause,[],[f66,f279,f283,f275]) ).

fof(f66,plain,
    ( ~ sP19
    | ~ sP20
    | p_5 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f365,plain,
    ( ~ spl24_38
    | spl24_32
    | ~ spl24_25 ),
    inference(avatar_split_clause,[],[f71,f279,f311,f359]) ).

fof(f71,plain,
    ( ~ sP19
    | sP18
    | ~ p_6 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f364,plain,
    ( ~ spl24_7
    | ~ spl24_6
    | ~ spl24_4
    | ~ spl24_8
    | spl24_5 ),
    inference(avatar_split_clause,[],[f149,f182,f194,f178,f186,f190]) ).

fof(f149,plain,
    ( p_11
    | ~ p_12
    | ~ p_14
    | ~ p_13
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f363,plain,
    ( ~ spl24_36
    | ~ spl24_2
    | spl24_35 ),
    inference(avatar_split_clause,[],[f59,f334,f169,f338]) ).

fof(f59,plain,
    ( sP21
    | ~ sP22
    | ~ p_3 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f362,plain,
    ( ~ spl24_34
    | ~ spl24_38
    | spl24_28 ),
    inference(avatar_split_clause,[],[f129,f293,f359,f328]) ).

fof(f129,plain,
    ( sP5
    | ~ p_6
    | ~ sP4 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f357,plain,
    ( spl24_16
    | ~ spl24_8
    | ~ spl24_21 ),
    inference(avatar_split_clause,[],[f97,f260,f194,f233]) ).

fof(f97,plain,
    ( ~ sP12
    | ~ p_12
    | sP13 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f356,plain,
    ( spl24_33
    | spl24_37
    | spl24_11 ),
    inference(avatar_split_clause,[],[f84,f210,f343,f317]) ).

fof(f84,plain,
    ( sP16
    | sP15
    | p_9 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f355,plain,
    ( spl24_3
    | ~ spl24_13
    | ~ spl24_27 ),
    inference(avatar_split_clause,[],[f110,f288,f220,f173]) ).

fof(f110,plain,
    ( ~ sP8
    | ~ sP9
    | p_2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f354,plain,
    ( ~ spl24_6
    | spl24_8
    | spl24_7
    | spl24_5
    | ~ spl24_4 ),
    inference(avatar_split_clause,[],[f155,f178,f182,f190,f194,f186]) ).

fof(f155,plain,
    ( ~ p_14
    | p_11
    | sP0
    | p_12
    | ~ p_13 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f353,plain,
    ( ~ spl24_8
    | ~ spl24_5
    | ~ spl24_6
    | spl24_7
    | ~ spl24_4 ),
    inference(avatar_split_clause,[],[f161,f178,f190,f186,f182,f194]) ).

fof(f161,plain,
    ( ~ p_14
    | sP0
    | ~ p_13
    | ~ p_11
    | ~ p_12 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f352,plain,
    ( spl24_5
    | ~ spl24_8
    | ~ spl24_6
    | spl24_7
    | spl24_4 ),
    inference(avatar_split_clause,[],[f156,f178,f190,f186,f194,f182]) ).

fof(f156,plain,
    ( p_14
    | sP0
    | ~ p_13
    | ~ p_12
    | p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f351,plain,
    ( spl24_4
    | ~ spl24_7
    | spl24_5
    | spl24_6
    | ~ spl24_8 ),
    inference(avatar_split_clause,[],[f148,f194,f186,f182,f190,f178]) ).

fof(f148,plain,
    ( ~ p_12
    | p_13
    | p_11
    | ~ sP0
    | p_14 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f350,plain,
    ( ~ spl24_22
    | ~ spl24_23
    | spl24_10 ),
    inference(avatar_split_clause,[],[f134,f206,f269,f265]) ).

fof(f134,plain,
    ( p_8
    | ~ sP2
    | ~ sP3 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f349,plain,
    ( spl24_29
    | spl24_30
    | spl24_7 ),
    inference(avatar_split_clause,[],[f144,f190,f302,f298]) ).

fof(f144,plain,
    ( sP0
    | sP1
    | p_10 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f348,plain,
    ( ~ spl24_4
    | spl24_12
    | ~ spl24_17 ),
    inference(avatar_split_clause,[],[f102,f239,f216,f178]) ).

fof(f102,plain,
    ( ~ sP11
    | sP10
    | ~ p_14 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f347,plain,
    ( ~ spl24_31
    | ~ spl24_22
    | spl24_34 ),
    inference(avatar_split_clause,[],[f133,f328,f265,f307]) ).

fof(f133,plain,
    ( sP4
    | ~ sP3
    | ~ p_7 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f346,plain,
    ( spl24_15
    | ~ spl24_37
    | ~ spl24_29 ),
    inference(avatar_split_clause,[],[f87,f298,f343,f229]) ).

fof(f87,plain,
    ( ~ p_10
    | ~ sP15
    | sP14 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f341,plain,
    ( ~ spl24_35
    | ~ spl24_36
    | spl24_2 ),
    inference(avatar_split_clause,[],[f61,f169,f338,f334]) ).

fof(f61,plain,
    ( sP22
    | ~ p_3
    | ~ sP21 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f332,plain,
    ( ~ spl24_6
    | ~ spl24_8
    | ~ spl24_7
    | ~ spl24_5
    | spl24_4 ),
    inference(avatar_split_clause,[],[f152,f178,f182,f190,f194,f186]) ).

fof(f152,plain,
    ( p_14
    | ~ p_11
    | ~ sP0
    | ~ p_12
    | ~ p_13 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f331,plain,
    ( spl24_31
    | ~ spl24_22
    | ~ spl24_34 ),
    inference(avatar_split_clause,[],[f131,f328,f265,f307]) ).

fof(f131,plain,
    ( ~ sP4
    | ~ sP3
    | p_7 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f326,plain,
    ( spl24_23
    | ~ spl24_30
    | ~ spl24_33 ),
    inference(avatar_split_clause,[],[f141,f317,f302,f269]) ).

fof(f141,plain,
    ( ~ p_9
    | ~ sP1
    | sP2 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f325,plain,
    ( ~ spl24_13
    | spl24_27
    | ~ spl24_3 ),
    inference(avatar_split_clause,[],[f111,f173,f288,f220]) ).

fof(f111,plain,
    ( ~ p_2
    | sP8
    | ~ sP9 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f324,plain,
    ( ~ spl24_21
    | spl24_6
    | ~ spl24_17 ),
    inference(avatar_split_clause,[],[f98,f239,f186,f260]) ).

fof(f98,plain,
    ( ~ sP11
    | p_13
    | ~ sP12 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f323,plain,
    ( ~ spl24_32
    | ~ spl24_31
    | spl24_9 ),
    inference(avatar_split_clause,[],[f75,f202,f307,f311]) ).

fof(f75,plain,
    ( sP17
    | ~ p_7
    | ~ sP18 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f322,plain,
    ( ~ spl24_10
    | spl24_11
    | ~ spl24_9 ),
    inference(avatar_split_clause,[],[f78,f202,f210,f206]) ).

fof(f78,plain,
    ( ~ sP17
    | sP16
    | ~ p_8 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f321,plain,
    ( ~ spl24_19
    | spl24_28
    | ~ spl24_24 ),
    inference(avatar_split_clause,[],[f123,f275,f293,f250]) ).

fof(f123,plain,
    ( ~ p_5
    | sP5
    | ~ sP6 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f320,plain,
    ( ~ spl24_23
    | spl24_30
    | ~ spl24_33 ),
    inference(avatar_split_clause,[],[f139,f317,f302,f269]) ).

fof(f139,plain,
    ( ~ p_9
    | sP1
    | ~ sP2 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f315,plain,
    ( ~ spl24_8
    | ~ spl24_16
    | spl24_21 ),
    inference(avatar_split_clause,[],[f95,f260,f233,f194]) ).

fof(f95,plain,
    ( sP12
    | ~ sP13
    | ~ p_12 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f314,plain,
    ( ~ spl24_31
    | spl24_32
    | ~ spl24_9 ),
    inference(avatar_split_clause,[],[f77,f202,f311,f307]) ).

fof(f77,plain,
    ( ~ sP17
    | sP18
    | ~ p_7 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f305,plain,
    ( ~ spl24_29
    | ~ spl24_7
    | spl24_30 ),
    inference(avatar_split_clause,[],[f145,f302,f190,f298]) ).

fof(f145,plain,
    ( sP1
    | ~ sP0
    | ~ p_10 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f296,plain,
    ( spl24_24
    | ~ spl24_28
    | ~ spl24_19 ),
    inference(avatar_split_clause,[],[f122,f250,f293,f275]) ).

fof(f122,plain,
    ( ~ sP6
    | ~ sP5
    | p_5 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f291,plain,
    ( spl24_13
    | ~ spl24_3
    | ~ spl24_27 ),
    inference(avatar_split_clause,[],[f113,f288,f173,f220]) ).

fof(f113,plain,
    ( ~ sP8
    | ~ p_2
    | sP9 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f286,plain,
    ( spl24_24
    | spl24_25
    | spl24_26 ),
    inference(avatar_split_clause,[],[f68,f283,f279,f275]) ).

fof(f68,plain,
    ( sP20
    | sP19
    | p_5 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f273,plain,
    ( ~ spl24_23
    | spl24_22
    | ~ spl24_10 ),
    inference(avatar_split_clause,[],[f137,f206,f265,f269]) ).

fof(f137,plain,
    ( ~ p_8
    | sP3
    | ~ sP2 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f272,plain,
    ( ~ spl24_22
    | ~ spl24_10
    | spl24_23 ),
    inference(avatar_split_clause,[],[f135,f269,f206,f265]) ).

fof(f135,plain,
    ( sP2
    | ~ p_8
    | ~ sP3 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f263,plain,
    ( spl24_8
    | ~ spl24_16
    | ~ spl24_21 ),
    inference(avatar_split_clause,[],[f94,f260,f233,f194]) ).

fof(f94,plain,
    ( ~ sP12
    | ~ sP13
    | p_12 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f258,plain,
    ( spl24_4
    | ~ spl24_5
    | ~ spl24_7
    | spl24_6
    | spl24_8 ),
    inference(avatar_split_clause,[],[f150,f194,f186,f190,f182,f178]) ).

fof(f150,plain,
    ( p_12
    | p_13
    | ~ sP0
    | ~ p_11
    | p_14 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f257,plain,
    ( ~ spl24_18
    | ~ spl24_19
    | spl24_20 ),
    inference(avatar_split_clause,[],[f121,f254,f250,f246]) ).

fof(f121,plain,
    ( sP7
    | ~ sP6
    | ~ p_4 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f244,plain,
    ( spl24_11
    | spl24_10
    | spl24_9 ),
    inference(avatar_split_clause,[],[f80,f202,f206,f210]) ).

fof(f80,plain,
    ( sP17
    | p_8
    | sP16 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f243,plain,
    ( spl24_6
    | ~ spl24_8
    | spl24_7
    | ~ spl24_5
    | spl24_4 ),
    inference(avatar_split_clause,[],[f160,f178,f182,f190,f194,f186]) ).

fof(f160,plain,
    ( p_14
    | ~ p_11
    | sP0
    | ~ p_12
    | p_13 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f242,plain,
    ( spl24_4
    | spl24_12
    | spl24_17 ),
    inference(avatar_split_clause,[],[f104,f239,f216,f178]) ).

fof(f104,plain,
    ( sP11
    | sP10
    | p_14 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f237,plain,
    ( ~ spl24_8
    | ~ spl24_4
    | spl24_5
    | spl24_7
    | spl24_6 ),
    inference(avatar_split_clause,[],[f157,f186,f190,f182,f178,f194]) ).

fof(f157,plain,
    ( p_13
    | sP0
    | p_11
    | ~ p_14
    | ~ p_12 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f236,plain,
    ( spl24_5
    | ~ spl24_15
    | ~ spl24_16 ),
    inference(avatar_split_clause,[],[f90,f233,f229,f182]) ).

fof(f90,plain,
    ( ~ sP13
    | ~ sP14
    | p_11 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f227,plain,
    ( spl24_12
    | ~ spl24_13
    | ~ spl24_14 ),
    inference(avatar_split_clause,[],[f109,f224,f220,f216]) ).

fof(f109,plain,
    ( ~ p_1
    | ~ sP9
    | sP10 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f214,plain,
    ( ~ spl24_1
    | ~ spl24_2
    | spl24_3 ),
    inference(avatar_split_clause,[],[f55,f173,f169,f165]) ).

fof(f55,plain,
    ( p_2
    | ~ sP22
    | ~ sP23 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f213,plain,
    ( spl24_9
    | ~ spl24_10
    | ~ spl24_11 ),
    inference(avatar_split_clause,[],[f81,f210,f206,f202]) ).

fof(f81,plain,
    ( ~ sP16
    | ~ p_8
    | sP17 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f200,plain,
    ( spl24_6
    | spl24_5
    | ~ spl24_4
    | spl24_8
    | ~ spl24_7 ),
    inference(avatar_split_clause,[],[f147,f190,f194,f178,f182,f186]) ).

fof(f147,plain,
    ( ~ sP0
    | p_12
    | ~ p_14
    | p_11
    | p_13 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f199,plain,
    ( ~ spl24_6
    | spl24_8
    | ~ spl24_7
    | spl24_4
    | spl24_5 ),
    inference(avatar_split_clause,[],[f146,f182,f178,f190,f194,f186]) ).

fof(f146,plain,
    ( p_11
    | p_14
    | ~ sP0
    | p_12
    | ~ p_13 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f198,plain,
    ( spl24_2
    | ~ spl24_1
    | ~ spl24_3 ),
    inference(avatar_split_clause,[],[f54,f173,f165,f169]) ).

fof(f54,plain,
    ( ~ p_2
    | ~ sP23
    | sP22 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f197,plain,
    ( spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | spl24_7
    | spl24_8 ),
    inference(avatar_split_clause,[],[f158,f194,f190,f186,f182,f178]) ).

fof(f158,plain,
    ( p_12
    | sP0
    | ~ p_13
    | ~ p_11
    | p_14 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f176,plain,
    ( spl24_1
    | spl24_2
    | spl24_3 ),
    inference(avatar_split_clause,[],[f56,f173,f169,f165]) ).

fof(f56,plain,
    ( p_2
    | sP22
    | sP23 ),
    inference(cnf_transformation,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN007+1.014 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33  % Computer : n004.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 21:17:49 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.49  % (2890)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)
% 0.18/0.49  % (2896)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.49  % (2882)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)
% 0.18/0.50  % (2874)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)
% 0.18/0.50  % (2882)Instruction limit reached!
% 0.18/0.50  % (2882)------------------------------
% 0.18/0.50  % (2882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (2882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (2882)Termination reason: Unknown
% 0.18/0.50  % (2882)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (2882)Memory used [KB]: 6140
% 0.18/0.50  % (2882)Time elapsed: 0.005 s
% 0.18/0.50  % (2882)Instructions burned: 4 (million)
% 0.18/0.50  % (2882)------------------------------
% 0.18/0.50  % (2882)------------------------------
% 0.18/0.50  % (2880)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.50  % (2874)First to succeed.
% 0.18/0.50  % (2880)Refutation not found, incomplete strategy% (2880)------------------------------
% 0.18/0.50  % (2880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (2880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (2880)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (2880)Memory used [KB]: 1663
% 0.18/0.50  % (2880)Time elapsed: 0.103 s
% 0.18/0.50  % (2880)Instructions burned: 7 (million)
% 0.18/0.50  % (2880)------------------------------
% 0.18/0.50  % (2880)------------------------------
% 0.18/0.51  % (2867)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.51  % (2874)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Theorem for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (2874)------------------------------
% 0.18/0.51  % (2874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (2874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (2874)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (2874)Memory used [KB]: 6140
% 0.18/0.51  % (2874)Time elapsed: 0.010 s
% 0.18/0.51  % (2874)Instructions burned: 6 (million)
% 0.18/0.51  % (2874)------------------------------
% 0.18/0.51  % (2874)------------------------------
% 0.18/0.51  % (2866)Success in time 0.168 s
%------------------------------------------------------------------------------