TSTP Solution File: SYO500_8.005 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO500_8.005 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 09:05:31 EDT 2024

% Result   : Theorem 0.66s 0.84s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  200 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :  721 (   2 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  594 ( 242   ~; 320   |;   0   &)
%                                         (  31 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    4 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  174 ( 174 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   58 (  55 usr;  52 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    f0: $o > $o ).

tff(pred_def_3,type,
    f1: $o > $o ).

tff(pred_def_4,type,
    f2: $o > $o ).

tff(pred_def_5,type,
    f3: $o > $o ).

tff(pred_def_6,type,
    f4: $o > $o ).

tff(f285,plain,
    $false,
    inference(avatar_sat_refutation,[],[f97,f102,f103,f104,f109,f110,f111,f112,f121,f126,f127,f128,f133,f134,f135,f136,f141,f142,f143,f144,f149,f150,f151,f152,f157,f158,f159,f160,f165,f166,f167,f168,f177,f182,f183,f184,f189,f190,f191,f192,f201,f206,f207,f208,f213,f214,f215,f216,f221,f222,f223,f224,f229,f230,f231,f232,f237,f238,f239,f240,f245,f246,f247,f248,f257,f262,f263,f264,f269,f270,f271,f272,f277,f278,f279,f280,f281,f282,f283,f284]) ).

tff(f284,plain,
    ( spl19_30
    | ~ spl19_28
    | ~ spl19_27 ),
    inference(avatar_split_clause,[],[f5,f254,f259,f274]) ).

tff(f274,plain,
    ( spl19_30
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_30])]) ).

tff(f259,plain,
    ( spl19_28
  <=> f4($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_28])]) ).

tff(f254,plain,
    ( spl19_27
  <=> x ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_27])]) ).

tff(f5,plain,
    ( ~ x
    | ~ f4($true)
    | sP18 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,plain,
    ( f0(f1(f1(f1(f2(f3(f3(f3(f4(x)))))))))
  <~> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ( f0(f1(f1(f1(f2(f3(f3(f3(f4(x)))))))))
    <=> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))) ),
    inference(flattening,[],[f2]) ).

tff(f2,negated_conjecture,
    f0(f1(f1(f1(f2(f3(f3(f3(f4(x))))))))) != f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    f0(f1(f1(f1(f2(f3(f3(f3(f4(x))))))))) = f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski5) ).

tff(f283,plain,
    ( spl19_30
    | ~ spl19_26
    | spl19_27 ),
    inference(avatar_split_clause,[],[f6,f254,f250,f274]) ).

tff(f250,plain,
    ( spl19_26
  <=> f4($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_26])]) ).

tff(f6,plain,
    ( x
    | ~ f4($false)
    | sP18 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f282,plain,
    ( ~ spl19_30
    | spl19_28
    | ~ spl19_27 ),
    inference(avatar_split_clause,[],[f7,f254,f259,f274]) ).

tff(f7,plain,
    ( ~ x
    | f4($true)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f281,plain,
    ( ~ spl19_30
    | spl19_26
    | spl19_27 ),
    inference(avatar_split_clause,[],[f8,f254,f250,f274]) ).

tff(f8,plain,
    ( x
    | f4($false)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f280,plain,
    ( spl19_29
    | ~ spl19_28
    | ~ spl19_30 ),
    inference(avatar_split_clause,[],[f9,f274,f259,f266]) ).

tff(f266,plain,
    ( spl19_29
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_29])]) ).

tff(f9,plain,
    ( ~ sP18
    | ~ f4($true)
    | sP17 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f279,plain,
    ( spl19_29
    | ~ spl19_26
    | spl19_30 ),
    inference(avatar_split_clause,[],[f10,f274,f250,f266]) ).

tff(f10,plain,
    ( sP18
    | ~ f4($false)
    | sP17 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f278,plain,
    ( ~ spl19_29
    | spl19_28
    | ~ spl19_30 ),
    inference(avatar_split_clause,[],[f11,f274,f259,f266]) ).

tff(f11,plain,
    ( ~ sP18
    | f4($true)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f277,plain,
    ( ~ spl19_29
    | spl19_26
    | spl19_30 ),
    inference(avatar_split_clause,[],[f12,f274,f250,f266]) ).

tff(f12,plain,
    ( sP18
    | f4($false)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f272,plain,
    ( spl19_25
    | ~ spl19_28
    | ~ spl19_29 ),
    inference(avatar_split_clause,[],[f13,f266,f259,f242]) ).

tff(f242,plain,
    ( spl19_25
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_25])]) ).

tff(f13,plain,
    ( ~ sP17
    | ~ f4($true)
    | sP16 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f271,plain,
    ( spl19_25
    | ~ spl19_26
    | spl19_29 ),
    inference(avatar_split_clause,[],[f14,f266,f250,f242]) ).

tff(f14,plain,
    ( sP17
    | ~ f4($false)
    | sP16 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f270,plain,
    ( ~ spl19_25
    | spl19_28
    | ~ spl19_29 ),
    inference(avatar_split_clause,[],[f15,f266,f259,f242]) ).

tff(f15,plain,
    ( ~ sP17
    | f4($true)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f269,plain,
    ( ~ spl19_25
    | spl19_26
    | spl19_29 ),
    inference(avatar_split_clause,[],[f16,f266,f250,f242]) ).

tff(f16,plain,
    ( sP17
    | f4($false)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f264,plain,
    ( spl19_24
    | ~ spl19_28
    | ~ spl19_27 ),
    inference(avatar_split_clause,[],[f17,f254,f259,f234]) ).

tff(f234,plain,
    ( spl19_24
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_24])]) ).

tff(f17,plain,
    ( ~ x
    | ~ f4($true)
    | sP15 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f263,plain,
    ( spl19_24
    | ~ spl19_26
    | spl19_27 ),
    inference(avatar_split_clause,[],[f18,f254,f250,f234]) ).

tff(f18,plain,
    ( x
    | ~ f4($false)
    | sP15 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f262,plain,
    ( ~ spl19_24
    | spl19_28
    | ~ spl19_27 ),
    inference(avatar_split_clause,[],[f19,f254,f259,f234]) ).

tff(f19,plain,
    ( ~ x
    | f4($true)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f257,plain,
    ( ~ spl19_24
    | spl19_26
    | spl19_27 ),
    inference(avatar_split_clause,[],[f20,f254,f250,f234]) ).

tff(f20,plain,
    ( x
    | f4($false)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f248,plain,
    ( spl19_23
    | ~ spl19_20
    | ~ spl19_25 ),
    inference(avatar_split_clause,[],[f21,f242,f203,f226]) ).

tff(f226,plain,
    ( spl19_23
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_23])]) ).

tff(f203,plain,
    ( spl19_20
  <=> f3($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_20])]) ).

tff(f21,plain,
    ( ~ sP16
    | ~ f3($true)
    | sP14 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f247,plain,
    ( spl19_23
    | ~ spl19_18
    | spl19_25 ),
    inference(avatar_split_clause,[],[f22,f242,f194,f226]) ).

tff(f194,plain,
    ( spl19_18
  <=> f3($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_18])]) ).

tff(f22,plain,
    ( sP16
    | ~ f3($false)
    | sP14 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f246,plain,
    ( ~ spl19_23
    | spl19_20
    | ~ spl19_25 ),
    inference(avatar_split_clause,[],[f23,f242,f203,f226]) ).

tff(f23,plain,
    ( ~ sP16
    | f3($true)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f245,plain,
    ( ~ spl19_23
    | spl19_18
    | spl19_25 ),
    inference(avatar_split_clause,[],[f24,f242,f194,f226]) ).

tff(f24,plain,
    ( sP16
    | f3($false)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f240,plain,
    ( spl19_22
    | ~ spl19_20
    | ~ spl19_24 ),
    inference(avatar_split_clause,[],[f25,f234,f203,f218]) ).

tff(f218,plain,
    ( spl19_22
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_22])]) ).

tff(f25,plain,
    ( ~ sP15
    | ~ f3($true)
    | sP13 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f239,plain,
    ( spl19_22
    | ~ spl19_18
    | spl19_24 ),
    inference(avatar_split_clause,[],[f26,f234,f194,f218]) ).

tff(f26,plain,
    ( sP15
    | ~ f3($false)
    | sP13 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f238,plain,
    ( ~ spl19_22
    | spl19_20
    | ~ spl19_24 ),
    inference(avatar_split_clause,[],[f27,f234,f203,f218]) ).

tff(f27,plain,
    ( ~ sP15
    | f3($true)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f237,plain,
    ( ~ spl19_22
    | spl19_18
    | spl19_24 ),
    inference(avatar_split_clause,[],[f28,f234,f194,f218]) ).

tff(f28,plain,
    ( sP15
    | f3($false)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f232,plain,
    ( spl19_21
    | ~ spl19_16
    | ~ spl19_23 ),
    inference(avatar_split_clause,[],[f29,f226,f179,f210]) ).

tff(f210,plain,
    ( spl19_21
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_21])]) ).

tff(f179,plain,
    ( spl19_16
  <=> f2($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_16])]) ).

tff(f29,plain,
    ( ~ sP14
    | ~ f2($true)
    | sP12 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f231,plain,
    ( spl19_21
    | ~ spl19_14
    | spl19_23 ),
    inference(avatar_split_clause,[],[f30,f226,f170,f210]) ).

tff(f170,plain,
    ( spl19_14
  <=> f2($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_14])]) ).

tff(f30,plain,
    ( sP14
    | ~ f2($false)
    | sP12 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f230,plain,
    ( ~ spl19_21
    | spl19_16
    | ~ spl19_23 ),
    inference(avatar_split_clause,[],[f31,f226,f179,f210]) ).

tff(f31,plain,
    ( ~ sP14
    | f2($true)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f229,plain,
    ( ~ spl19_21
    | spl19_14
    | spl19_23 ),
    inference(avatar_split_clause,[],[f32,f226,f170,f210]) ).

tff(f32,plain,
    ( sP14
    | f2($false)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f224,plain,
    ( spl19_19
    | ~ spl19_20
    | ~ spl19_22 ),
    inference(avatar_split_clause,[],[f33,f218,f203,f198]) ).

tff(f198,plain,
    ( spl19_19
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_19])]) ).

tff(f33,plain,
    ( ~ sP13
    | ~ f3($true)
    | sP11 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f223,plain,
    ( spl19_19
    | ~ spl19_18
    | spl19_22 ),
    inference(avatar_split_clause,[],[f34,f218,f194,f198]) ).

tff(f34,plain,
    ( sP13
    | ~ f3($false)
    | sP11 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f222,plain,
    ( ~ spl19_19
    | spl19_20
    | ~ spl19_22 ),
    inference(avatar_split_clause,[],[f35,f218,f203,f198]) ).

tff(f35,plain,
    ( ~ sP13
    | f3($true)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f221,plain,
    ( ~ spl19_19
    | spl19_18
    | spl19_22 ),
    inference(avatar_split_clause,[],[f36,f218,f194,f198]) ).

tff(f36,plain,
    ( sP13
    | f3($false)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f216,plain,
    ( spl19_17
    | ~ spl19_16
    | ~ spl19_21 ),
    inference(avatar_split_clause,[],[f37,f210,f179,f186]) ).

tff(f186,plain,
    ( spl19_17
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_17])]) ).

tff(f37,plain,
    ( ~ sP12
    | ~ f2($true)
    | sP10 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f215,plain,
    ( spl19_17
    | ~ spl19_14
    | spl19_21 ),
    inference(avatar_split_clause,[],[f38,f210,f170,f186]) ).

tff(f38,plain,
    ( sP12
    | ~ f2($false)
    | sP10 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f214,plain,
    ( ~ spl19_17
    | spl19_16
    | ~ spl19_21 ),
    inference(avatar_split_clause,[],[f39,f210,f179,f186]) ).

tff(f39,plain,
    ( ~ sP12
    | f2($true)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f213,plain,
    ( ~ spl19_17
    | spl19_14
    | spl19_21 ),
    inference(avatar_split_clause,[],[f40,f210,f170,f186]) ).

tff(f40,plain,
    ( sP12
    | f2($false)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f208,plain,
    ( spl19_15
    | ~ spl19_20
    | ~ spl19_19 ),
    inference(avatar_split_clause,[],[f41,f198,f203,f174]) ).

tff(f174,plain,
    ( spl19_15
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_15])]) ).

tff(f41,plain,
    ( ~ sP11
    | ~ f3($true)
    | sP9 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f207,plain,
    ( spl19_15
    | ~ spl19_18
    | spl19_19 ),
    inference(avatar_split_clause,[],[f42,f198,f194,f174]) ).

tff(f42,plain,
    ( sP11
    | ~ f3($false)
    | sP9 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f206,plain,
    ( ~ spl19_15
    | spl19_20
    | ~ spl19_19 ),
    inference(avatar_split_clause,[],[f43,f198,f203,f174]) ).

tff(f43,plain,
    ( ~ sP11
    | f3($true)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f201,plain,
    ( ~ spl19_15
    | spl19_18
    | spl19_19 ),
    inference(avatar_split_clause,[],[f44,f198,f194,f174]) ).

tff(f44,plain,
    ( sP11
    | f3($false)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f192,plain,
    ( spl19_13
    | ~ spl19_16
    | ~ spl19_17 ),
    inference(avatar_split_clause,[],[f45,f186,f179,f162]) ).

tff(f162,plain,
    ( spl19_13
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).

tff(f45,plain,
    ( ~ sP10
    | ~ f2($true)
    | sP8 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f191,plain,
    ( spl19_13
    | ~ spl19_14
    | spl19_17 ),
    inference(avatar_split_clause,[],[f46,f186,f170,f162]) ).

tff(f46,plain,
    ( sP10
    | ~ f2($false)
    | sP8 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f190,plain,
    ( ~ spl19_13
    | spl19_16
    | ~ spl19_17 ),
    inference(avatar_split_clause,[],[f47,f186,f179,f162]) ).

tff(f47,plain,
    ( ~ sP10
    | f2($true)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f189,plain,
    ( ~ spl19_13
    | spl19_14
    | spl19_17 ),
    inference(avatar_split_clause,[],[f48,f186,f170,f162]) ).

tff(f48,plain,
    ( sP10
    | f2($false)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f184,plain,
    ( spl19_12
    | ~ spl19_16
    | ~ spl19_15 ),
    inference(avatar_split_clause,[],[f49,f174,f179,f154]) ).

tff(f154,plain,
    ( spl19_12
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).

tff(f49,plain,
    ( ~ sP9
    | ~ f2($true)
    | sP7 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f183,plain,
    ( spl19_12
    | ~ spl19_14
    | spl19_15 ),
    inference(avatar_split_clause,[],[f50,f174,f170,f154]) ).

tff(f50,plain,
    ( sP9
    | ~ f2($false)
    | sP7 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f182,plain,
    ( ~ spl19_12
    | spl19_16
    | ~ spl19_15 ),
    inference(avatar_split_clause,[],[f51,f174,f179,f154]) ).

tff(f51,plain,
    ( ~ sP9
    | f2($true)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f177,plain,
    ( ~ spl19_12
    | spl19_14
    | spl19_15 ),
    inference(avatar_split_clause,[],[f52,f174,f170,f154]) ).

tff(f52,plain,
    ( sP9
    | f2($false)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f168,plain,
    ( spl19_11
    | ~ spl19_8
    | ~ spl19_13 ),
    inference(avatar_split_clause,[],[f53,f162,f123,f146]) ).

tff(f146,plain,
    ( spl19_11
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).

tff(f123,plain,
    ( spl19_8
  <=> f1($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).

tff(f53,plain,
    ( ~ sP8
    | ~ f1($true)
    | sP6 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f167,plain,
    ( spl19_11
    | ~ spl19_6
    | spl19_13 ),
    inference(avatar_split_clause,[],[f54,f162,f114,f146]) ).

tff(f114,plain,
    ( spl19_6
  <=> f1($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).

tff(f54,plain,
    ( sP8
    | ~ f1($false)
    | sP6 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f166,plain,
    ( ~ spl19_11
    | spl19_8
    | ~ spl19_13 ),
    inference(avatar_split_clause,[],[f55,f162,f123,f146]) ).

tff(f55,plain,
    ( ~ sP8
    | f1($true)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f165,plain,
    ( ~ spl19_11
    | spl19_6
    | spl19_13 ),
    inference(avatar_split_clause,[],[f56,f162,f114,f146]) ).

tff(f56,plain,
    ( sP8
    | f1($false)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f160,plain,
    ( spl19_10
    | ~ spl19_8
    | ~ spl19_12 ),
    inference(avatar_split_clause,[],[f57,f154,f123,f138]) ).

tff(f138,plain,
    ( spl19_10
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).

tff(f57,plain,
    ( ~ sP7
    | ~ f1($true)
    | sP5 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f159,plain,
    ( spl19_10
    | ~ spl19_6
    | spl19_12 ),
    inference(avatar_split_clause,[],[f58,f154,f114,f138]) ).

tff(f58,plain,
    ( sP7
    | ~ f1($false)
    | sP5 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f158,plain,
    ( ~ spl19_10
    | spl19_8
    | ~ spl19_12 ),
    inference(avatar_split_clause,[],[f59,f154,f123,f138]) ).

tff(f59,plain,
    ( ~ sP7
    | f1($true)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f157,plain,
    ( ~ spl19_10
    | spl19_6
    | spl19_12 ),
    inference(avatar_split_clause,[],[f60,f154,f114,f138]) ).

tff(f60,plain,
    ( sP7
    | f1($false)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f152,plain,
    ( spl19_9
    | ~ spl19_4
    | ~ spl19_11 ),
    inference(avatar_split_clause,[],[f61,f146,f99,f130]) ).

tff(f130,plain,
    ( spl19_9
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).

tff(f99,plain,
    ( spl19_4
  <=> f0($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).

tff(f61,plain,
    ( ~ sP6
    | ~ f0($true)
    | sP4 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f151,plain,
    ( spl19_9
    | ~ spl19_1
    | spl19_11 ),
    inference(avatar_split_clause,[],[f62,f146,f86,f130]) ).

tff(f86,plain,
    ( spl19_1
  <=> f0($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).

tff(f62,plain,
    ( sP6
    | ~ f0($false)
    | sP4 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f150,plain,
    ( ~ spl19_9
    | spl19_4
    | ~ spl19_11 ),
    inference(avatar_split_clause,[],[f63,f146,f99,f130]) ).

tff(f63,plain,
    ( ~ sP6
    | f0($true)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f149,plain,
    ( ~ spl19_9
    | spl19_1
    | spl19_11 ),
    inference(avatar_split_clause,[],[f64,f146,f86,f130]) ).

tff(f64,plain,
    ( sP6
    | f0($false)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f144,plain,
    ( spl19_7
    | ~ spl19_8
    | ~ spl19_10 ),
    inference(avatar_split_clause,[],[f65,f138,f123,f118]) ).

tff(f118,plain,
    ( spl19_7
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).

tff(f65,plain,
    ( ~ sP5
    | ~ f1($true)
    | sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f143,plain,
    ( spl19_7
    | ~ spl19_6
    | spl19_10 ),
    inference(avatar_split_clause,[],[f66,f138,f114,f118]) ).

tff(f66,plain,
    ( sP5
    | ~ f1($false)
    | sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f142,plain,
    ( ~ spl19_7
    | spl19_8
    | ~ spl19_10 ),
    inference(avatar_split_clause,[],[f67,f138,f123,f118]) ).

tff(f67,plain,
    ( ~ sP5
    | f1($true)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f141,plain,
    ( ~ spl19_7
    | spl19_6
    | spl19_10 ),
    inference(avatar_split_clause,[],[f68,f138,f114,f118]) ).

tff(f68,plain,
    ( sP5
    | f1($false)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f136,plain,
    ( spl19_5
    | ~ spl19_4
    | ~ spl19_9 ),
    inference(avatar_split_clause,[],[f69,f130,f99,f106]) ).

tff(f106,plain,
    ( spl19_5
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).

tff(f69,plain,
    ( ~ sP4
    | ~ f0($true)
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f135,plain,
    ( spl19_5
    | ~ spl19_1
    | spl19_9 ),
    inference(avatar_split_clause,[],[f70,f130,f86,f106]) ).

tff(f70,plain,
    ( sP4
    | ~ f0($false)
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f134,plain,
    ( ~ spl19_5
    | spl19_4
    | ~ spl19_9 ),
    inference(avatar_split_clause,[],[f71,f130,f99,f106]) ).

tff(f71,plain,
    ( ~ sP4
    | f0($true)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f133,plain,
    ( ~ spl19_5
    | spl19_1
    | spl19_9 ),
    inference(avatar_split_clause,[],[f72,f130,f86,f106]) ).

tff(f72,plain,
    ( sP4
    | f0($false)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f128,plain,
    ( spl19_2
    | ~ spl19_8
    | ~ spl19_7 ),
    inference(avatar_split_clause,[],[f73,f118,f123,f90]) ).

tff(f90,plain,
    ( spl19_2
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).

tff(f73,plain,
    ( ~ sP3
    | ~ f1($true)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f127,plain,
    ( spl19_2
    | ~ spl19_6
    | spl19_7 ),
    inference(avatar_split_clause,[],[f74,f118,f114,f90]) ).

tff(f74,plain,
    ( sP3
    | ~ f1($false)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f126,plain,
    ( ~ spl19_2
    | spl19_8
    | ~ spl19_7 ),
    inference(avatar_split_clause,[],[f75,f118,f123,f90]) ).

tff(f75,plain,
    ( ~ sP3
    | f1($true)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f121,plain,
    ( ~ spl19_2
    | spl19_6
    | spl19_7 ),
    inference(avatar_split_clause,[],[f76,f118,f114,f90]) ).

tff(f76,plain,
    ( sP3
    | f1($false)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f112,plain,
    ( spl19_3
    | ~ spl19_4
    | ~ spl19_5 ),
    inference(avatar_split_clause,[],[f77,f106,f99,f94]) ).

tff(f94,plain,
    ( spl19_3
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).

tff(f77,plain,
    ( ~ sP2
    | ~ f0($true)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f111,plain,
    ( spl19_3
    | ~ spl19_1
    | spl19_5 ),
    inference(avatar_split_clause,[],[f78,f106,f86,f94]) ).

tff(f78,plain,
    ( sP2
    | ~ f0($false)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f110,plain,
    ( ~ spl19_3
    | spl19_4
    | ~ spl19_5 ),
    inference(avatar_split_clause,[],[f79,f106,f99,f94]) ).

tff(f79,plain,
    ( ~ sP2
    | f0($true)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f109,plain,
    ( ~ spl19_3
    | spl19_1
    | spl19_5 ),
    inference(avatar_split_clause,[],[f80,f106,f86,f94]) ).

tff(f80,plain,
    ( sP2
    | f0($false)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f104,plain,
    ( ~ spl19_4
    | ~ spl19_2
    | ~ spl19_3 ),
    inference(avatar_split_clause,[],[f81,f94,f90,f99]) ).

tff(f81,plain,
    ( ~ sP0
    | ~ sP1
    | ~ f0($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f103,plain,
    ( ~ spl19_1
    | spl19_2
    | ~ spl19_3 ),
    inference(avatar_split_clause,[],[f82,f94,f90,f86]) ).

tff(f82,plain,
    ( ~ sP0
    | sP1
    | ~ f0($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f102,plain,
    ( spl19_4
    | ~ spl19_2
    | spl19_3 ),
    inference(avatar_split_clause,[],[f83,f94,f90,f99]) ).

tff(f83,plain,
    ( sP0
    | ~ sP1
    | f0($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f97,plain,
    ( spl19_1
    | spl19_2
    | spl19_3 ),
    inference(avatar_split_clause,[],[f84,f94,f90,f86]) ).

tff(f84,plain,
    ( sP0
    | sP1
    | f0($false) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYO500_8.005 : TPTP v8.2.0. Released v8.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon May 20 10:48:07 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a TX0_THM_EQU_NAR problem
% 0.12/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.83  % (4979)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.66/0.83  % (4977)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.66/0.83  % (4974)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.66/0.83  % (4976)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.66/0.83  % (4975)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.66/0.83  % (4978)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.66/0.83  % (4980)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.66/0.83  % (4981)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.66/0.84  % (4977)Refutation not found, incomplete strategy% (4977)------------------------------
% 0.66/0.84  % (4977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (4977)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.84  
% 0.66/0.84  % (4977)Memory used [KB]: 961
% 0.66/0.84  % (4977)Time elapsed: 0.003 s
% 0.66/0.84  % (4977)Instructions burned: 2 (million)
% 0.66/0.84  % (4974)Refutation not found, incomplete strategy% (4974)------------------------------
% 0.66/0.84  % (4974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (4974)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.84  
% 0.66/0.84  % (4974)Memory used [KB]: 977
% 0.66/0.84  % (4974)Time elapsed: 0.003 s
% 0.66/0.84  % (4974)Instructions burned: 3 (million)
% 0.66/0.84  % (4981)Refutation not found, incomplete strategy% (4981)------------------------------
% 0.66/0.84  % (4981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (4981)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.84  
% 0.66/0.84  % (4981)Memory used [KB]: 958
% 0.66/0.84  % (4979)Refutation not found, incomplete strategy% (4979)------------------------------
% 0.66/0.84  % (4979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (4981)Time elapsed: 0.003 s
% 0.66/0.84  % (4981)Instructions burned: 2 (million)
% 0.66/0.84  % (4979)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.84  
% 0.66/0.84  % (4979)Memory used [KB]: 969
% 0.66/0.84  % (4979)Time elapsed: 0.003 s
% 0.66/0.84  % (4979)Instructions burned: 3 (million)
% 0.66/0.84  % (4978)Refutation not found, incomplete strategy% (4978)------------------------------
% 0.66/0.84  % (4978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (4978)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.84  
% 0.66/0.84  % (4978)Memory used [KB]: 1034
% 0.66/0.84  % (4978)Time elapsed: 0.003 s
% 0.66/0.84  % (4978)Instructions burned: 3 (million)
% 0.66/0.84  % (4974)------------------------------
% 0.66/0.84  % (4974)------------------------------
% 0.66/0.84  % (4977)------------------------------
% 0.66/0.84  % (4977)------------------------------
% 0.66/0.84  % (4981)------------------------------
% 0.66/0.84  % (4981)------------------------------
% 0.66/0.84  % (4978)------------------------------
% 0.66/0.84  % (4978)------------------------------
% 0.66/0.84  % (4979)------------------------------
% 0.66/0.84  % (4979)------------------------------
% 0.66/0.84  % (4976)Refutation not found, incomplete strategy% (4976)------------------------------
% 0.66/0.84  % (4976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (4976)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.84  
% 0.66/0.84  % (4976)Memory used [KB]: 1072
% 0.66/0.84  % (4976)Time elapsed: 0.004 s
% 0.66/0.84  % (4976)Instructions burned: 5 (million)
% 0.66/0.84  % (4980)First to succeed.
% 0.66/0.84  % (4976)------------------------------
% 0.66/0.84  % (4976)------------------------------
% 0.66/0.84  % (4980)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4973"
% 0.66/0.84  % (4984)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.66/0.84  % (4983)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 (2994ds/55Mi)
% 0.66/0.84  % (4985)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.66/0.84  % (4980)Refutation found. Thanks to Tanya!
% 0.66/0.84  % SZS status Theorem for theBenchmark
% 0.66/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.66/0.84  % (4980)------------------------------
% 0.66/0.84  % (4980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (4980)Termination reason: Refutation
% 0.66/0.84  
% 0.66/0.84  % (4980)Memory used [KB]: 1031
% 0.66/0.84  % (4980)Time elapsed: 0.006 s
% 0.66/0.84  % (4980)Instructions burned: 8 (million)
% 0.66/0.84  % (4973)Success in time 0.504 s
% 0.66/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------