TSTP Solution File: PUZ016-2.005 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.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 18:11:32 EDT 2022

% Result   : Unsatisfiable 1.30s 0.52s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   88
% Syntax   : Number of formulae    :  140 (   5 unt;   0 def)
%            Number of atoms       :  301 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  313 ( 152   ~; 124   |;   0   &)
%                                         (  37 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   75 (  74 usr;  75 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f376,plain,
    $false,
    inference(avatar_sat_refutation,[],[f135,f144,f158,f176,f190,f205,f215,f225,f240,f246,f258,f259,f261,f266,f267,f276,f277,f282,f287,f292,f298,f308,f318,f319,f322,f327,f330,f332,f336,f337,f340,f341,f342,f343,f345,f348,f349,f351,f355,f356,f359,f362,f364,f366,f367,f369,f371,f372,f373,f374,f375]) ).

fof(f375,plain,
    ( spl0_8
    | spl0_31
    | spl0_7 ),
    inference(avatar_split_clause,[],[f19,f146,f269,f150]) ).

fof(f150,plain,
    ( spl0_8
  <=> vertical_2_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f269,plain,
    ( spl0_31
  <=> vertical_3_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f146,plain,
    ( spl0_7
  <=> horizontal_3_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f19,axiom,
    ( horizontal_3_4
    | vertical_3_5
    | vertical_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_5) ).

fof(f374,plain,
    ( ~ spl0_22
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f104,f273,f217]) ).

fof(f217,plain,
    ( spl0_22
  <=> horizontal_4_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f273,plain,
    ( spl0_32
  <=> vertical_4_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f104,axiom,
    ( ~ vertical_4_5
    | ~ horizontal_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_5) ).

fof(f373,plain,
    ( ~ spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f65,f119,f222]) ).

fof(f222,plain,
    ( spl0_23
  <=> horizontal_3_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f119,plain,
    ( spl0_1
  <=> vertical_3_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f65,axiom,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_2) ).

fof(f372,plain,
    ( ~ spl0_30
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f116,f137,f263]) ).

fof(f263,plain,
    ( spl0_30
  <=> vertical_4_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f137,plain,
    ( spl0_5
  <=> horizontal_5_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f116,axiom,
    ( ~ horizontal_5_3
    | ~ vertical_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_4) ).

fof(f371,plain,
    ( ~ spl0_26
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f96,f231,f235]) ).

fof(f235,plain,
    ( spl0_26
  <=> vertical_3_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f231,plain,
    ( spl0_25
  <=> vertical_4_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f96,axiom,
    ( ~ vertical_4_3
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_3) ).

fof(f369,plain,
    ~ spl0_35,
    inference(avatar_split_clause,[],[f3,f294]) ).

fof(f294,plain,
    ( spl0_35
  <=> vertical_1_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3,axiom,
    ~ vertical_1_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_2) ).

fof(f367,plain,
    ( ~ spl0_31
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f106,f217,f269]) ).

fof(f106,axiom,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_5) ).

fof(f366,plain,
    ( ~ spl0_10
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f31,f313,f160]) ).

fof(f160,plain,
    ( spl0_10
  <=> vertical_1_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f313,plain,
    ( spl0_37
  <=> horizontal_1_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f31,axiom,
    ( ~ horizontal_1_4
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_4) ).

fof(f364,plain,
    ( ~ spl0_36
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f77,f173,f300]) ).

fof(f300,plain,
    ( spl0_36
  <=> horizontal_3_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f173,plain,
    ( spl0_13
  <=> vertical_3_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f77,axiom,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_4) ).

fof(f362,plain,
    ( ~ spl0_3
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f109,f197,f128]) ).

fof(f128,plain,
    ( spl0_3
  <=> horizontal_5_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f197,plain,
    ( spl0_18
  <=> vertical_4_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f109,axiom,
    ( ~ vertical_4_2
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_2) ).

fof(f359,plain,
    ( ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f74,f173,f146]) ).

fof(f74,axiom,
    ( ~ vertical_3_4
    | ~ horizontal_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_4) ).

fof(f356,plain,
    ( spl0_28
    | spl0_23
    | spl0_21 ),
    inference(avatar_split_clause,[],[f15,f211,f222,f248]) ).

fof(f248,plain,
    ( spl0_28
  <=> vertical_3_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f211,plain,
    ( spl0_21
  <=> vertical_2_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f15,axiom,
    ( vertical_2_1
    | horizontal_3_1
    | vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_1) ).

fof(f355,plain,
    ( spl0_24
    | spl0_22
    | spl0_30
    | spl0_13 ),
    inference(avatar_split_clause,[],[f23,f173,f263,f217,f227]) ).

fof(f227,plain,
    ( spl0_24
  <=> horizontal_4_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f23,axiom,
    ( vertical_3_4
    | vertical_4_4
    | horizontal_4_4
    | horizontal_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_4) ).

fof(f351,plain,
    ( spl0_32
    | spl0_6 ),
    inference(avatar_split_clause,[],[f29,f141,f273]) ).

fof(f141,plain,
    ( spl0_6
  <=> horizontal_5_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f29,axiom,
    ( horizontal_5_4
    | vertical_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_5) ).

fof(f349,plain,
    ( ~ spl0_2
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f95,f231,f123]) ).

fof(f123,plain,
    ( spl0_2
  <=> horizontal_4_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f95,axiom,
    ( ~ vertical_4_3
    | ~ horizontal_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_3) ).

fof(f348,plain,
    ( spl0_34
    | spl0_9
    | spl0_36
    | spl0_26 ),
    inference(avatar_split_clause,[],[f17,f235,f300,f155,f289]) ).

fof(f289,plain,
    ( spl0_34
  <=> vertical_2_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f155,plain,
    ( spl0_9
  <=> horizontal_3_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f17,axiom,
    ( vertical_3_3
    | horizontal_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_3) ).

fof(f345,plain,
    ~ spl0_33,
    inference(avatar_split_clause,[],[f5,f284]) ).

fof(f284,plain,
    ( spl0_33
  <=> horizontal_1_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f5,axiom,
    ~ horizontal_1_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered3_1_2) ).

fof(f343,plain,
    ( ~ spl0_34
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f44,f164,f289]) ).

fof(f164,plain,
    ( spl0_11
  <=> horizontal_2_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f44,axiom,
    ( ~ horizontal_2_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_3) ).

fof(f342,plain,
    ( ~ spl0_24
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f93,f123,f227]) ).

fof(f93,axiom,
    ( ~ horizontal_4_2
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_3) ).

fof(f341,plain,
    ( ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f64,f178,f155]) ).

fof(f178,plain,
    ( spl0_14
  <=> vertical_2_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f64,axiom,
    ( ~ vertical_2_2
    | ~ horizontal_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_2) ).

fof(f340,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f37,f211,f207]) ).

fof(f207,plain,
    ( spl0_20
  <=> vertical_1_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f37,axiom,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_1) ).

fof(f337,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f92,f231,f227]) ).

fof(f92,axiom,
    ( ~ vertical_4_3
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_3) ).

fof(f336,plain,
    ( ~ spl0_14
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f67,f222,f178]) ).

fof(f67,axiom,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_2) ).

fof(f332,plain,
    ( spl0_27
    | spl0_15
    | spl0_35
    | spl0_14 ),
    inference(avatar_split_clause,[],[f11,f178,f294,f182,f243]) ).

fof(f243,plain,
    ( spl0_27
  <=> horizontal_2_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f182,plain,
    ( spl0_15
  <=> horizontal_2_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f11,axiom,
    ( vertical_2_2
    | vertical_1_2
    | horizontal_2_1
    | horizontal_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_2) ).

fof(f330,plain,
    ( spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f9,f313,f187]) ).

fof(f187,plain,
    ( spl0_16
  <=> vertical_1_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f9,axiom,
    ( horizontal_1_4
    | vertical_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_5) ).

fof(f327,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f84,f252,f248]) ).

fof(f252,plain,
    ( spl0_29
  <=> horizontal_4_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f84,axiom,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_1) ).

fof(f322,plain,
    ( spl0_25
    | spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f27,f128,f137,f231]) ).

fof(f27,axiom,
    ( horizontal_5_2
    | horizontal_5_3
    | vertical_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_3) ).

fof(f319,plain,
    ( ~ spl0_7
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f75,f300,f146]) ).

fof(f75,axiom,
    ( ~ horizontal_3_3
    | ~ horizontal_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_4) ).

fof(f318,plain,
    ( ~ spl0_8
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f56,f192,f150]) ).

fof(f192,plain,
    ( spl0_17
  <=> horizontal_2_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f56,axiom,
    ( ~ horizontal_2_4
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_5) ).

fof(f308,plain,
    ( ~ spl0_12
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f79,f300,f169]) ).

fof(f169,plain,
    ( spl0_12
  <=> vertical_2_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f79,axiom,
    ( ~ horizontal_3_3
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_4) ).

fof(f298,plain,
    ( ~ spl0_19
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f83,f252,f202]) ).

fof(f202,plain,
    ( spl0_19
  <=> vertical_4_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f83,axiom,
    ( ~ horizontal_4_1
    | ~ vertical_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_1) ).

fof(f292,plain,
    ( ~ spl0_27
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f47,f289,f243]) ).

fof(f47,axiom,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_3) ).

fof(f287,plain,
    ( spl0_33
    | spl0_20 ),
    inference(avatar_split_clause,[],[f7,f207,f284]) ).

fof(f7,axiom,
    ( vertical_1_1
    | horizontal_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_1) ).

fof(f282,plain,
    ( ~ spl0_28
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f85,f202,f248]) ).

fof(f85,axiom,
    ( ~ vertical_4_1
    | ~ vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_1) ).

fof(f277,plain,
    ( ~ spl0_4
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f110,f197,f132]) ).

fof(f132,plain,
    ( spl0_4
  <=> horizontal_5_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f110,axiom,
    ( ~ vertical_4_2
    | ~ horizontal_5_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_2) ).

fof(f276,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f105,f273,f269]) ).

fof(f105,axiom,
    ( ~ vertical_4_5
    | ~ vertical_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_5) ).

fof(f267,plain,
    ( spl0_29
    | spl0_2
    | spl0_1
    | spl0_18 ),
    inference(avatar_split_clause,[],[f21,f197,f119,f123,f252]) ).

fof(f21,axiom,
    ( vertical_4_2
    | vertical_3_2
    | horizontal_4_2
    | horizontal_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_2) ).

fof(f266,plain,
    ( ~ spl0_6
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f115,f263,f141]) ).

fof(f115,axiom,
    ( ~ vertical_4_4
    | ~ horizontal_5_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_4) ).

fof(f261,plain,
    ( ~ spl0_26
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f94,f227,f235]) ).

fof(f94,axiom,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_3) ).

fof(f259,plain,
    ( ~ spl0_15
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f36,f207,f182]) ).

fof(f36,axiom,
    ( ~ vertical_1_1
    | ~ horizontal_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_1) ).

fof(f258,plain,
    ( spl0_12
    | spl0_10
    | spl0_17
    | spl0_11 ),
    inference(avatar_split_clause,[],[f13,f164,f192,f160,f169]) ).

fof(f13,axiom,
    ( horizontal_2_3
    | horizontal_2_4
    | vertical_1_4
    | vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_4) ).

fof(f246,plain,
    ( ~ spl0_11
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f45,f243,f164]) ).

fof(f45,axiom,
    ( ~ horizontal_2_2
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_3) ).

fof(f240,plain,
    ( ~ spl0_26
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f97,f123,f235]) ).

fof(f97,axiom,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_3) ).

fof(f225,plain,
    ( ~ spl0_9
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f63,f222,f155]) ).

fof(f63,axiom,
    ( ~ horizontal_3_1
    | ~ horizontal_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_2) ).

fof(f215,plain,
    ( ~ spl0_1
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f66,f178,f119]) ).

fof(f66,axiom,
    ( ~ vertical_2_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_2) ).

fof(f205,plain,
    ( spl0_19
    | spl0_4 ),
    inference(avatar_split_clause,[],[f25,f132,f202]) ).

fof(f25,axiom,
    ( horizontal_5_1
    | vertical_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_1) ).

fof(f190,plain,
    ( ~ spl0_16
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f57,f150,f187]) ).

fof(f57,axiom,
    ( ~ vertical_2_5
    | ~ vertical_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_5) ).

fof(f176,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f78,f173,f169]) ).

fof(f78,axiom,
    ( ~ vertical_3_4
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_4) ).

fof(f158,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f62,f155,f119]) ).

fof(f62,axiom,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_2) ).

fof(f144,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f114,f141,f137]) ).

fof(f114,axiom,
    ( ~ horizontal_5_4
    | ~ horizontal_5_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_4) ).

fof(f135,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f108,f132,f128]) ).

fof(f108,axiom,
    ( ~ horizontal_5_1
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 10:33:11 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.51  % (21991)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (21983)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.51  % (21999)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.30/0.52  % (21999)First to succeed.
% 1.30/0.52  % (21983)Instruction limit reached!
% 1.30/0.52  % (21983)------------------------------
% 1.30/0.52  % (21983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (21999)Refutation found. Thanks to Tanya!
% 1.30/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.30/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.52  % (21999)------------------------------
% 1.30/0.52  % (21999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (21999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (21999)Termination reason: Refutation
% 1.30/0.52  
% 1.30/0.52  % (21999)Memory used [KB]: 5628
% 1.30/0.52  % (21999)Time elapsed: 0.005 s
% 1.30/0.52  % (21999)Instructions burned: 2 (million)
% 1.30/0.52  % (21999)------------------------------
% 1.30/0.52  % (21999)------------------------------
% 1.30/0.52  % (21974)Success in time 0.172 s
%------------------------------------------------------------------------------