TSTP Solution File: SYO091_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO091_8 : TPTP v8.2.0. Released v8.0.0.
% 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 : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 09:02:54 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  169 (  31 unt;  17 typ;   0 def)
%            Number of atoms       :  521 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  435 ( 199   ~; 191   |;   0   &)
%                                         (  44 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  309 ( 157 fml; 152 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   21 (  17   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :   47 (  45 usr;  30 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   64 (  61   !;   3   ?;  64   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_4,type,
    sP3: ( $o * $o * $o ) > $o ).

tff(pred_def_5,type,
    sP4: ( $o * $o ) > $o ).

tff(pred_def_6,type,
    sP5: $o > $o ).

tff(pred_def_7,type,
    sP6: $o > $o ).

tff(pred_def_8,type,
    sP7: ( $o * $o ) > $o ).

tff(pred_def_9,type,
    sP8: $o > $o ).

tff(pred_def_10,type,
    sP9: $o > $o ).

tff(pred_def_11,type,
    sP10: $o > $o ).

tff(pred_def_12,type,
    sP11: $o > $o ).

tff(pred_def_13,type,
    sP12: $o > $o ).

tff(pred_def_14,type,
    sP13: $o > $o ).

tff(pred_def_15,type,
    sP14: $o > $o ).

tff(pred_def_16,type,
    sP15: $o > $o ).

tff(pred_def_17,type,
    sP16: $o > $o ).

tff(pred_def_18,type,
    sP17: $o > $o ).

tff(pred_def_19,type,
    sP18: $o > $o ).

tff(pred_def_20,type,
    sP19: $o > $o ).

tff(f424,plain,
    $false,
    inference(avatar_sat_refutation,[],[f73,f78,f87,f92,f100,f104,f109,f114,f119,f124,f132,f137,f142,f147,f152,f165,f170,f175,f180,f184,f185,f186,f325,f329,f331,f333,f378,f382,f419,f423]) ).

tff(f423,plain,
    ( ~ spl20_18
    | ~ spl20_19
    | ~ spl20_22 ),
    inference(avatar_contradiction_clause,[],[f422]) ).

tff(f422,plain,
    ( $false
    | ~ spl20_18
    | ~ spl20_19
    | ~ spl20_22 ),
    inference(subsumption_resolution,[],[f421,f216]) ).

tff(f216,plain,
    sP4($true,$true),
    inference(unit_resulting_resolution,[],[f9,f11,f22]) ).

tff(f22,plain,
    ! [X0: $o,X1: $o] :
      ( sP4((X1),(X0))
      | ~ sP8((X0))
      | ~ sP9((X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,plain,
    ? [X0: $o,X1: $o,X2: $o] :
      ( ( ( (X0)
        <=> (X1) )
      <=> (X2) )
    <~> ( (X0)
      <=> ( (X1)
        <=> (X2) ) ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $o,X1: $o,X2: $o] :
        ( ( ( (X0)
          <=> (X1) )
        <=> (X2) )
      <=> ( (X0)
        <=> ( (X1)
          <=> (X2) ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $o,X1: $o,X2: $o] :
        ( ( ( (X0)
          <=> (X1) )
        <=> (X2) )
      <=> ( (X0)
        <=> ( (X1)
          <=> (X2) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $o,X1: $o,X2: $o] :
      ( ( ( (X0)
        <=> (X1) )
      <=> (X2) )
    <=> ( (X0)
      <=> ( (X1)
        <=> (X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM50Q) ).

tff(f11,plain,
    sP8($true),
    inference(cnf_transformation,[],[f4]) ).

tff(f9,plain,
    sP9($true),
    inference(cnf_transformation,[],[f4]) ).

tff(f421,plain,
    ( ~ sP4($true,$true)
    | ~ spl20_18
    | ~ spl20_19
    | ~ spl20_22 ),
    inference(subsumption_resolution,[],[f420,f136]) ).

tff(f136,plain,
    ( sP15($true)
    | ~ spl20_19 ),
    inference(avatar_component_clause,[],[f134]) ).

tff(f134,plain,
    ( spl20_19
  <=> sP15($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).

tff(f420,plain,
    ( ~ sP15($true)
    | ~ sP4($true,$true)
    | ~ spl20_18
    | ~ spl20_22 ),
    inference(subsumption_resolution,[],[f394,f151]) ).

tff(f151,plain,
    ( sP14($true)
    | ~ spl20_22 ),
    inference(avatar_component_clause,[],[f149]) ).

tff(f149,plain,
    ( spl20_22
  <=> sP14($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).

tff(f394,plain,
    ( ~ sP14($true)
    | ~ sP15($true)
    | ~ sP4($true,$true)
    | ~ spl20_18 ),
    inference(resolution,[],[f131,f242]) ).

tff(f242,plain,
    sP3($true,$true,$true),
    inference(unit_resulting_resolution,[],[f188,f17,f26]) ).

tff(f26,plain,
    ! [X2: $o,X0: $o,X1: $o] :
      ( sP3((X2),(X1),(X0))
      | ~ sP6((X0))
      | ~ sP7((X2),(X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f17,plain,
    sP6($true),
    inference(cnf_transformation,[],[f4]) ).

tff(f188,plain,
    sP7($true,$true),
    inference(unit_resulting_resolution,[],[f5,f7,f14]) ).

tff(f14,plain,
    ! [X2: $o,X1: $o] :
      ( sP7((X2),(X1))
      | ~ sP10((X1))
      | ~ sP11((X2)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f7,plain,
    sP10($true),
    inference(cnf_transformation,[],[f4]) ).

tff(f5,plain,
    sP11($true),
    inference(cnf_transformation,[],[f4]) ).

tff(f131,plain,
    ( ! [X0: $o,X1: $o] :
        ( ~ sP3($true,(X1),(X0))
        | ~ sP14((X1))
        | ~ sP15((X0))
        | ~ sP4((X1),(X0)) )
    | ~ spl20_18 ),
    inference(avatar_component_clause,[],[f130]) ).

tff(f130,plain,
    ( spl20_18
  <=> ! [X0: $o,X1: $o] :
        ( ~ sP15((X0))
        | ~ sP14((X1))
        | ~ sP3($true,(X1),(X0))
        | ~ sP4((X1),(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).

tff(f419,plain,
    ( ~ spl20_18
    | ~ spl20_20
    | ~ spl20_21 ),
    inference(avatar_contradiction_clause,[],[f418]) ).

tff(f418,plain,
    ( $false
    | ~ spl20_18
    | ~ spl20_20
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f417,f215]) ).

tff(f215,plain,
    sP4($false,$false),
    inference(unit_resulting_resolution,[],[f10,f12,f21]) ).

tff(f21,plain,
    ! [X0: $o,X1: $o] :
      ( sP4((X1),(X0))
      | sP8((X0))
      | sP9((X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f12,plain,
    ~ sP8($false),
    inference(cnf_transformation,[],[f4]) ).

tff(f10,plain,
    ~ sP9($false),
    inference(cnf_transformation,[],[f4]) ).

tff(f417,plain,
    ( ~ sP4($false,$false)
    | ~ spl20_18
    | ~ spl20_20
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f416,f141]) ).

tff(f141,plain,
    ( sP15($false)
    | ~ spl20_20 ),
    inference(avatar_component_clause,[],[f139]) ).

tff(f139,plain,
    ( spl20_20
  <=> sP15($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).

tff(f416,plain,
    ( ~ sP15($false)
    | ~ sP4($false,$false)
    | ~ spl20_18
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f393,f146]) ).

tff(f146,plain,
    ( sP14($false)
    | ~ spl20_21 ),
    inference(avatar_component_clause,[],[f144]) ).

tff(f144,plain,
    ( spl20_21
  <=> sP14($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).

tff(f393,plain,
    ( ~ sP14($false)
    | ~ sP15($false)
    | ~ sP4($false,$false)
    | ~ spl20_18 ),
    inference(resolution,[],[f131,f227]) ).

tff(f227,plain,
    sP3($true,$false,$false),
    inference(unit_resulting_resolution,[],[f189,f18,f25]) ).

tff(f25,plain,
    ! [X2: $o,X0: $o,X1: $o] :
      ( sP3((X2),(X1),(X0))
      | sP6((X0))
      | sP7((X2),(X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f18,plain,
    ~ sP6($false),
    inference(cnf_transformation,[],[f4]) ).

tff(f189,plain,
    ~ sP7($true,$false),
    inference(unit_resulting_resolution,[],[f5,f8,f15]) ).

tff(f15,plain,
    ! [X2: $o,X1: $o] :
      ( ~ sP7((X2),(X1))
      | sP10((X1))
      | ~ sP11((X2)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f8,plain,
    ~ sP10($false),
    inference(cnf_transformation,[],[f4]) ).

tff(f382,plain,
    ( ~ spl20_16
    | ~ spl20_12
    | ~ spl20_14 ),
    inference(avatar_split_clause,[],[f340,f111,f102,f121]) ).

tff(f121,plain,
    ( spl20_16
  <=> sP16($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).

tff(f102,plain,
    ( spl20_12
  <=> ! [X0: $o,X1: $o] :
        ( ~ sP17((X0))
        | ~ sP16((X1))
        | sP3($true,(X1),(X0))
        | sP4((X1),(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).

tff(f111,plain,
    ( spl20_14
  <=> sP17($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).

tff(f340,plain,
    ( ~ sP16($true)
    | ~ spl20_12
    | ~ spl20_14 ),
    inference(unit_resulting_resolution,[],[f113,f217,f248,f103]) ).

tff(f103,plain,
    ( ! [X0: $o,X1: $o] :
        ( sP3($true,(X1),(X0))
        | ~ sP16((X1))
        | ~ sP17((X0))
        | sP4((X1),(X0)) )
    | ~ spl20_12 ),
    inference(avatar_component_clause,[],[f102]) ).

tff(f248,plain,
    ~ sP3($true,$true,$false),
    inference(unit_resulting_resolution,[],[f188,f18,f27]) ).

tff(f27,plain,
    ! [X2: $o,X0: $o,X1: $o] :
      ( ~ sP3((X2),(X1),(X0))
      | sP6((X0))
      | ~ sP7((X2),(X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f217,plain,
    ~ sP4($true,$false),
    inference(unit_resulting_resolution,[],[f9,f12,f23]) ).

tff(f23,plain,
    ! [X0: $o,X1: $o] :
      ( ~ sP4((X1),(X0))
      | sP8((X0))
      | ~ sP9((X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f113,plain,
    ( sP17($false)
    | ~ spl20_14 ),
    inference(avatar_component_clause,[],[f111]) ).

tff(f378,plain,
    ( ~ spl20_13
    | ~ spl20_12
    | ~ spl20_15 ),
    inference(avatar_split_clause,[],[f343,f116,f102,f106]) ).

tff(f106,plain,
    ( spl20_13
  <=> sP17($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).

tff(f116,plain,
    ( spl20_15
  <=> sP16($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).

tff(f343,plain,
    ( ~ sP17($true)
    | ~ spl20_12
    | ~ spl20_15 ),
    inference(unit_resulting_resolution,[],[f118,f222,f261,f103]) ).

tff(f261,plain,
    ~ sP3($true,$false,$true),
    inference(unit_resulting_resolution,[],[f189,f17,f28]) ).

tff(f28,plain,
    ! [X2: $o,X0: $o,X1: $o] :
      ( ~ sP3((X2),(X1),(X0))
      | ~ sP6((X0))
      | sP7((X2),(X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f222,plain,
    ~ sP4($false,$true),
    inference(unit_resulting_resolution,[],[f10,f11,f24]) ).

tff(f24,plain,
    ! [X0: $o,X1: $o] :
      ( ~ sP4((X1),(X0))
      | ~ sP8((X0))
      | sP9((X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f118,plain,
    ( sP16($false)
    | ~ spl20_15 ),
    inference(avatar_component_clause,[],[f116]) ).

tff(f333,plain,
    ( ~ spl20_6
    | ~ spl20_7
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f332,f98,f80,f75]) ).

tff(f75,plain,
    ( spl20_6
  <=> sP19($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

tff(f80,plain,
    ( spl20_7
  <=> sP18($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

tff(f98,plain,
    ( spl20_11
  <=> ! [X0: $o,X1: $o] :
        ( ~ sP19((X0))
        | ~ sP18((X1))
        | sP3($false,(X1),(X0))
        | ~ sP4((X1),(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).

tff(f332,plain,
    ( ~ sP18($false)
    | ~ sP19($false)
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f280,f215]) ).

tff(f280,plain,
    ( ~ sP18($false)
    | ~ sP19($false)
    | ~ sP4($false,$false)
    | ~ spl20_11 ),
    inference(resolution,[],[f99,f247]) ).

tff(f247,plain,
    ~ sP3($false,$false,$false),
    inference(unit_resulting_resolution,[],[f187,f18,f27]) ).

tff(f187,plain,
    sP7($false,$false),
    inference(unit_resulting_resolution,[],[f6,f8,f13]) ).

tff(f13,plain,
    ! [X2: $o,X1: $o] :
      ( sP7((X2),(X1))
      | sP10((X1))
      | sP11((X2)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f6,plain,
    ~ sP11($false),
    inference(cnf_transformation,[],[f4]) ).

tff(f99,plain,
    ( ! [X0: $o,X1: $o] :
        ( sP3($false,(X1),(X0))
        | ~ sP18((X1))
        | ~ sP19((X0))
        | ~ sP4((X1),(X0)) )
    | ~ spl20_11 ),
    inference(avatar_component_clause,[],[f98]) ).

tff(f331,plain,
    ( ~ spl20_4
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f330,f98,f89,f66]) ).

tff(f66,plain,
    ( spl20_4
  <=> sP19($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

tff(f89,plain,
    ( spl20_9
  <=> sP18($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

tff(f330,plain,
    ( ~ sP18($true)
    | ~ sP19($true)
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f298,f216]) ).

tff(f298,plain,
    ( ~ sP18($true)
    | ~ sP19($true)
    | ~ sP4($true,$true)
    | ~ spl20_11 ),
    inference(resolution,[],[f262,f99]) ).

tff(f262,plain,
    ~ sP3($false,$true,$true),
    inference(unit_resulting_resolution,[],[f202,f17,f28]) ).

tff(f202,plain,
    ~ sP7($false,$true),
    inference(unit_resulting_resolution,[],[f6,f7,f16]) ).

tff(f16,plain,
    ! [X2: $o,X1: $o] :
      ( ~ sP7((X2),(X1))
      | ~ sP10((X1))
      | sP11((X2)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f329,plain,
    ( ~ spl20_25
    | ~ spl20_27
    | ~ spl20_29 ),
    inference(avatar_contradiction_clause,[],[f328]) ).

tff(f328,plain,
    ( $false
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_29 ),
    inference(subsumption_resolution,[],[f327,f222]) ).

tff(f327,plain,
    ( sP4($false,$true)
    | ~ spl20_25
    | ~ spl20_27
    | ~ spl20_29 ),
    inference(subsumption_resolution,[],[f326,f164]) ).

tff(f164,plain,
    ( sP13($true)
    | ~ spl20_25 ),
    inference(avatar_component_clause,[],[f162]) ).

tff(f162,plain,
    ( spl20_25
  <=> sP13($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).

tff(f326,plain,
    ( ~ sP13($true)
    | sP4($false,$true)
    | ~ spl20_27
    | ~ spl20_29 ),
    inference(subsumption_resolution,[],[f311,f174]) ).

tff(f174,plain,
    ( sP12($false)
    | ~ spl20_27 ),
    inference(avatar_component_clause,[],[f172]) ).

tff(f172,plain,
    ( spl20_27
  <=> sP12($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).

tff(f311,plain,
    ( ~ sP12($false)
    | ~ sP13($true)
    | sP4($false,$true)
    | ~ spl20_29 ),
    inference(resolution,[],[f183,f241]) ).

tff(f241,plain,
    sP3($false,$false,$true),
    inference(unit_resulting_resolution,[],[f187,f17,f26]) ).

tff(f183,plain,
    ( ! [X0: $o,X1: $o] :
        ( ~ sP3($false,(X1),(X0))
        | ~ sP12((X1))
        | ~ sP13((X0))
        | sP4((X1),(X0)) )
    | ~ spl20_29 ),
    inference(avatar_component_clause,[],[f182]) ).

tff(f182,plain,
    ( spl20_29
  <=> ! [X0: $o,X1: $o] :
        ( ~ sP13((X0))
        | ~ sP12((X1))
        | ~ sP3($false,(X1),(X0))
        | sP4((X1),(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).

tff(f325,plain,
    ( ~ spl20_26
    | ~ spl20_28
    | ~ spl20_29 ),
    inference(avatar_split_clause,[],[f324,f182,f177,f167]) ).

tff(f167,plain,
    ( spl20_26
  <=> sP13($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).

tff(f177,plain,
    ( spl20_28
  <=> sP12($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).

tff(f324,plain,
    ( ~ sP12($true)
    | ~ sP13($false)
    | ~ spl20_29 ),
    inference(subsumption_resolution,[],[f310,f217]) ).

tff(f310,plain,
    ( ~ sP12($true)
    | ~ sP13($false)
    | sP4($true,$false)
    | ~ spl20_29 ),
    inference(resolution,[],[f183,f228]) ).

tff(f228,plain,
    sP3($false,$true,$false),
    inference(unit_resulting_resolution,[],[f202,f18,f25]) ).

tff(f186,plain,
    spl20_1,
    inference(avatar_split_clause,[],[f19,f54]) ).

tff(f54,plain,
    ( spl20_1
  <=> sP5($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

tff(f19,plain,
    sP5($true),
    inference(cnf_transformation,[],[f4]) ).

tff(f185,plain,
    ~ spl20_10,
    inference(avatar_split_clause,[],[f20,f94]) ).

tff(f94,plain,
    ( spl20_10
  <=> sP5($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

tff(f20,plain,
    ~ sP5($false),
    inference(cnf_transformation,[],[f4]) ).

tff(f184,plain,
    ( spl20_10
    | spl20_2
    | spl20_29 ),
    inference(avatar_split_clause,[],[f29,f182,f58,f94]) ).

tff(f58,plain,
    ( spl20_2
  <=> sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

tff(f29,plain,
    ! [X0: $o,X1: $o] :
      ( ~ sP13((X0))
      | sK2
      | sP4((X1),(X0))
      | sP5($false)
      | ~ sP3($false,(X1),(X0))
      | ~ sP12((X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f180,plain,
    ( spl20_28
    | ~ spl20_8 ),
    inference(avatar_split_clause,[],[f30,f84,f177]) ).

tff(f84,plain,
    ( spl20_8
  <=> sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).

tff(f30,plain,
    ( ~ sK1
    | sP12($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f175,plain,
    ( spl20_27
    | spl20_8 ),
    inference(avatar_split_clause,[],[f31,f84,f172]) ).

tff(f31,plain,
    ( sK1
    | sP12($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f170,plain,
    ( spl20_26
    | spl20_5 ),
    inference(avatar_split_clause,[],[f32,f70,f167]) ).

tff(f70,plain,
    ( spl20_5
  <=> sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

tff(f32,plain,
    ( sK0
    | sP13($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f165,plain,
    ( spl20_25
    | ~ spl20_5 ),
    inference(avatar_split_clause,[],[f33,f70,f162]) ).

tff(f33,plain,
    ( ~ sK0
    | sP13($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f152,plain,
    ( spl20_22
    | ~ spl20_8 ),
    inference(avatar_split_clause,[],[f36,f84,f149]) ).

tff(f36,plain,
    ( ~ sK1
    | sP14($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f147,plain,
    ( spl20_21
    | spl20_8 ),
    inference(avatar_split_clause,[],[f37,f84,f144]) ).

tff(f37,plain,
    ( sK1
    | sP14($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f142,plain,
    ( spl20_20
    | spl20_5 ),
    inference(avatar_split_clause,[],[f38,f70,f139]) ).

tff(f38,plain,
    ( sK0
    | sP15($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f137,plain,
    ( spl20_19
    | ~ spl20_5 ),
    inference(avatar_split_clause,[],[f39,f70,f134]) ).

tff(f39,plain,
    ( ~ sK0
    | sP15($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f132,plain,
    ( ~ spl20_1
    | ~ spl20_2
    | spl20_18 ),
    inference(avatar_split_clause,[],[f40,f130,f58,f54]) ).

tff(f40,plain,
    ! [X0: $o,X1: $o] :
      ( ~ sP15((X0))
      | ~ sK2
      | ~ sP4((X1),(X0))
      | ~ sP5($true)
      | ~ sP3($true,(X1),(X0))
      | ~ sP14((X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f124,plain,
    ( spl20_16
    | ~ spl20_8 ),
    inference(avatar_split_clause,[],[f42,f84,f121]) ).

tff(f42,plain,
    ( ~ sK1
    | sP16($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f119,plain,
    ( spl20_15
    | spl20_8 ),
    inference(avatar_split_clause,[],[f43,f84,f116]) ).

tff(f43,plain,
    ( sK1
    | sP16($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f114,plain,
    ( spl20_14
    | spl20_5 ),
    inference(avatar_split_clause,[],[f44,f70,f111]) ).

tff(f44,plain,
    ( sK0
    | sP17($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f109,plain,
    ( spl20_13
    | ~ spl20_5 ),
    inference(avatar_split_clause,[],[f45,f70,f106]) ).

tff(f45,plain,
    ( ~ sK0
    | sP17($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f104,plain,
    ( ~ spl20_1
    | ~ spl20_2
    | spl20_12 ),
    inference(avatar_split_clause,[],[f46,f102,f58,f54]) ).

tff(f46,plain,
    ! [X0: $o,X1: $o] :
      ( ~ sP17((X0))
      | ~ sK2
      | sP4((X1),(X0))
      | ~ sP5($true)
      | sP3($true,(X1),(X0))
      | ~ sP16((X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f100,plain,
    ( spl20_10
    | spl20_2
    | spl20_11 ),
    inference(avatar_split_clause,[],[f47,f98,f58,f94]) ).

tff(f47,plain,
    ! [X0: $o,X1: $o] :
      ( ~ sP19((X0))
      | sK2
      | ~ sP4((X1),(X0))
      | sP5($false)
      | sP3($false,(X1),(X0))
      | ~ sP18((X1)) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f92,plain,
    ( spl20_9
    | ~ spl20_8 ),
    inference(avatar_split_clause,[],[f48,f84,f89]) ).

tff(f48,plain,
    ( ~ sK1
    | sP18($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f87,plain,
    ( spl20_7
    | spl20_8 ),
    inference(avatar_split_clause,[],[f49,f84,f80]) ).

tff(f49,plain,
    ( sK1
    | sP18($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f78,plain,
    ( spl20_6
    | spl20_5 ),
    inference(avatar_split_clause,[],[f50,f70,f75]) ).

tff(f50,plain,
    ( sK0
    | sP19($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f73,plain,
    ( spl20_4
    | ~ spl20_5 ),
    inference(avatar_split_clause,[],[f51,f70,f66]) ).

tff(f51,plain,
    ( ~ sK0
    | sP19($true) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYO091_8 : TPTP v8.2.0. Released v8.0.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n002.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon May 20 10:33:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TX0_THM_NEQ_NAR problem
% 0.16/0.36  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/benchmark/theBenchmark.p
% 0.61/0.76  % (4684)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.61/0.76  % (4683)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.61/0.76  % (4684)Refutation not found, incomplete strategy% (4684)------------------------------
% 0.61/0.76  % (4684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (4684)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (4684)Memory used [KB]: 957
% 0.61/0.76  % (4684)Time elapsed: 0.002 s
% 0.61/0.76  % (4684)Instructions burned: 2 (million)
% 0.61/0.76  % (4684)------------------------------
% 0.61/0.76  % (4684)------------------------------
% 0.61/0.76  % (4680)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.61/0.76  % (4678)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.61/0.76  % (4681)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.61/0.76  % (4677)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.61/0.76  % (4679)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.61/0.76  % (4682)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.61/0.77  % (4680)Refutation not found, incomplete strategy% (4680)------------------------------
% 0.61/0.77  % (4680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (4682)Refutation not found, incomplete strategy% (4682)------------------------------
% 0.61/0.77  % (4682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (4682)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (4682)Memory used [KB]: 956
% 0.61/0.77  % (4682)Time elapsed: 0.003 s
% 0.61/0.77  % (4682)Instructions burned: 2 (million)
% 0.61/0.77  % (4681)Refutation not found, incomplete strategy% (4681)------------------------------
% 0.61/0.77  % (4681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (4681)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (4681)Memory used [KB]: 971
% 0.61/0.77  % (4681)Time elapsed: 0.003 s
% 0.61/0.77  % (4681)Instructions burned: 3 (million)
% 0.61/0.77  % (4680)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (4683)First to succeed.
% 0.61/0.77  % (4680)Memory used [KB]: 964
% 0.61/0.77  % (4677)Refutation not found, incomplete strategy% (4677)------------------------------
% 0.61/0.77  % (4677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (4680)Time elapsed: 0.003 s
% 0.61/0.77  % (4680)Instructions burned: 2 (million)
% 0.61/0.77  % (4677)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (4677)Memory used [KB]: 971
% 0.61/0.77  % (4677)Time elapsed: 0.003 s
% 0.61/0.77  % (4677)Instructions burned: 3 (million)
% 0.61/0.77  % (4682)------------------------------
% 0.61/0.77  % (4682)------------------------------
% 0.61/0.77  % (4681)------------------------------
% 0.61/0.77  % (4681)------------------------------
% 0.61/0.77  % (4680)------------------------------
% 0.61/0.77  % (4680)------------------------------
% 0.61/0.77  % (4677)------------------------------
% 0.61/0.77  % (4677)------------------------------
% 0.61/0.77  % (4686)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.61/0.77  % (4678)Also succeeded, but the first one will report.
% 0.61/0.77  % (4683)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4578"
% 0.61/0.77  % (4679)Also succeeded, but the first one will report.
% 0.61/0.77  % (4683)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for theBenchmark
% 0.61/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.77  % (4683)------------------------------
% 0.61/0.77  % (4683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (4683)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (4683)Memory used [KB]: 1115
% 0.61/0.77  % (4683)Time elapsed: 0.005 s
% 0.61/0.77  % (4683)Instructions burned: 10 (million)
% 0.61/0.77  % (4578)Success in time 0.395 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------