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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n028.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 18:10:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   87
% Syntax   : Number of formulae    :  146 (   8 unt;   0 def)
%            Number of atoms       :  310 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  320 ( 156   ~; 128   |;   0   &)
%                                         (  36 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   74 (  73 usr;  74 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f379,plain,
    $false,
    inference(avatar_sat_refutation,[],[f130,f139,f148,f153,f174,f201,f202,f203,f222,f223,f243,f244,f245,f246,f247,f248,f271,f272,f274,f275,f276,f288,f289,f290,f313,f314,f315,f316,f317,f318,f333,f334,f335,f341,f342,f343,f351,f352,f353,f357,f359,f360,f364,f367,f369,f370,f372,f374,f376,f378]) ).

fof(f378,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f377]) ).

fof(f377,plain,
    ( $false
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f187,f3]) ).

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

fof(f187,plain,
    ( vertical_1_2
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl0_14
  <=> vertical_1_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f376,plain,
    ( spl0_34
    | spl0_27
    | spl0_33
    | spl0_35 ),
    inference(avatar_split_clause,[],[f23,f324,f310,f268,f320]) ).

fof(f320,plain,
    ( spl0_34
  <=> vertical_4_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f268,plain,
    ( spl0_27
  <=> vertical_3_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f310,plain,
    ( spl0_33
  <=> horizontal_4_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f324,plain,
    ( spl0_35
  <=> horizontal_4_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

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

fof(f374,plain,
    ( spl0_30
    | spl0_22
    | spl0_31
    | spl0_29 ),
    inference(avatar_split_clause,[],[f21,f285,f296,f236,f292]) ).

fof(f292,plain,
    ( spl0_30
  <=> vertical_4_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f236,plain,
    ( spl0_22
  <=> vertical_3_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f296,plain,
    ( spl0_31
  <=> horizontal_4_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f285,plain,
    ( spl0_29
  <=> horizontal_4_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

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

fof(f372,plain,
    ( spl0_25
    | spl0_23
    | spl0_15
    | spl0_24 ),
    inference(avatar_split_clause,[],[f17,f250,f194,f240,f254]) ).

fof(f254,plain,
    ( spl0_25
  <=> vertical_3_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f240,plain,
    ( spl0_23
  <=> horizontal_3_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f194,plain,
    ( spl0_15
  <=> vertical_2_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f250,plain,
    ( spl0_24
  <=> horizontal_3_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

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

fof(f370,plain,
    ( spl0_17
    | spl0_16
    | spl0_7
    | spl0_18 ),
    inference(avatar_split_clause,[],[f13,f209,f150,f198,f205]) ).

fof(f205,plain,
    ( spl0_17
  <=> vertical_2_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f198,plain,
    ( spl0_16
  <=> horizontal_2_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f150,plain,
    ( spl0_7
  <=> vertical_1_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f209,plain,
    ( spl0_18
  <=> horizontal_2_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

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

fof(f369,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f368]) ).

fof(f368,plain,
    ( $false
    | spl0_11 ),
    inference(subsumption_resolution,[],[f173,f119]) ).

fof(f119,plain,
    vertical_1_1,
    inference(subsumption_resolution,[],[f7,f5]) ).

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

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

fof(f173,plain,
    ( ~ vertical_1_1
    | spl0_11 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl0_11
  <=> vertical_1_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f367,plain,
    ( spl0_13
    | spl0_10
    | spl0_12
    | spl0_14 ),
    inference(avatar_split_clause,[],[f11,f186,f176,f166,f180]) ).

fof(f180,plain,
    ( spl0_13
  <=> vertical_2_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f166,plain,
    ( spl0_10
  <=> horizontal_2_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f176,plain,
    ( spl0_12
  <=> horizontal_2_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

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

fof(f364,plain,
    ( spl0_36
    | spl0_32
    | spl0_37 ),
    inference(avatar_split_clause,[],[f27,f345,f306,f338]) ).

fof(f338,plain,
    ( spl0_36
  <=> horizontal_5_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f306,plain,
    ( spl0_32
  <=> vertical_4_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f345,plain,
    ( spl0_37
  <=> horizontal_5_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

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

fof(f360,plain,
    ( spl0_28
    | spl0_26
    | spl0_19 ),
    inference(avatar_split_clause,[],[f19,f219,f264,f278]) ).

fof(f278,plain,
    ( spl0_28
  <=> vertical_3_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f264,plain,
    ( spl0_26
  <=> horizontal_3_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f219,plain,
    ( spl0_19
  <=> vertical_2_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

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

fof(f359,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f358]) ).

fof(f358,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f163,f120]) ).

fof(f120,plain,
    ~ vertical_2_1,
    inference(subsumption_resolution,[],[f37,f119]) ).

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

fof(f163,plain,
    ( vertical_2_1
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl0_9
  <=> vertical_2_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f357,plain,
    ( spl0_20
    | spl0_21
    | spl0_9 ),
    inference(avatar_split_clause,[],[f15,f162,f230,f226]) ).

fof(f226,plain,
    ( spl0_20
  <=> vertical_3_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f230,plain,
    ( spl0_21
  <=> horizontal_3_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(f353,plain,
    ( ~ spl0_37
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f116,f320,f345]) ).

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

fof(f352,plain,
    ( ~ spl0_34
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f115,f141,f320]) ).

fof(f141,plain,
    ( spl0_5
  <=> horizontal_5_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

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

fof(f351,plain,
    ( ~ spl0_5
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f114,f345,f141]) ).

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

fof(f343,plain,
    ( ~ spl0_4
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f110,f292,f136]) ).

fof(f136,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(f342,plain,
    ( ~ spl0_36
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f109,f292,f338]) ).

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

fof(f341,plain,
    ( ~ spl0_36
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f108,f136,f338]) ).

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

fof(f335,plain,
    ( ~ spl0_28
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f106,f324,f278]) ).

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

fof(f334,plain,
    ( ~ spl0_28
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f105,f145,f278]) ).

fof(f145,plain,
    ( spl0_6
  <=> vertical_4_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

fof(f333,plain,
    ( ~ spl0_35
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f104,f145,f324]) ).

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

fof(f318,plain,
    ( ~ spl0_25
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f97,f296,f254]) ).

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

fof(f317,plain,
    ( ~ spl0_32
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f96,f254,f306]) ).

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

fof(f316,plain,
    ( ~ spl0_32
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f95,f296,f306]) ).

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

fof(f315,plain,
    ( ~ spl0_25
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f94,f310,f254]) ).

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

fof(f314,plain,
    ( ~ spl0_31
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f93,f310,f296]) ).

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

fof(f313,plain,
    ( ~ spl0_32
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f92,f310,f306]) ).

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

fof(f290,plain,
    ( ~ spl0_3
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f85,f226,f132]) ).

fof(f132,plain,
    ( spl0_3
  <=> vertical_4_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f289,plain,
    ( ~ spl0_20
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f84,f285,f226]) ).

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

fof(f288,plain,
    ( ~ spl0_29
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f83,f132,f285]) ).

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

fof(f276,plain,
    ( ~ spl0_17
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f79,f250,f205]) ).

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

fof(f275,plain,
    ( ~ spl0_27
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f78,f205,f268]) ).

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

fof(f274,plain,
    ( ~ spl0_24
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f77,f268,f250]) ).

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

fof(f272,plain,
    ( ~ spl0_24
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f75,f264,f250]) ).

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

fof(f271,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f74,f268,f264]) ).

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

fof(f248,plain,
    ( ~ spl0_21
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f67,f180,f230]) ).

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

fof(f247,plain,
    ( ~ spl0_22
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f66,f180,f236]) ).

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

fof(f246,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f65,f236,f230]) ).

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

fof(f245,plain,
    ( ~ spl0_13
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f64,f240,f180]) ).

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

fof(f244,plain,
    ( ~ spl0_21
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f63,f240,f230]) ).

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

fof(f243,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f62,f240,f236]) ).

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

fof(f223,plain,
    ( ~ spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f57,f123,f219]) ).

fof(f123,plain,
    ( spl0_1
  <=> vertical_1_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f222,plain,
    ( ~ spl0_19
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f56,f209,f219]) ).

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

fof(f203,plain,
    ( ~ spl0_15
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f47,f176,f194]) ).

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

fof(f202,plain,
    ( ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f45,f198,f176]) ).

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

fof(f201,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f44,f198,f194]) ).

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

fof(f174,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f36,f171,f166]) ).

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

fof(f153,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f31,f150,f127]) ).

fof(f127,plain,
    ( spl0_2
  <=> horizontal_1_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f148,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f29,f145,f141]) ).

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

fof(f139,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f25,f136,f132]) ).

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

fof(f130,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f127,f123]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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 10:46:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  % (28022)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.47  % (28030)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.47  % (28030)First to succeed.
% 0.20/0.47  % (28030)Refutation found. Thanks to Tanya!
% 0.20/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47  % (28030)------------------------------
% 0.20/0.47  % (28030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (28030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (28030)Termination reason: Refutation
% 0.20/0.47  
% 0.20/0.47  % (28030)Memory used [KB]: 6140
% 0.20/0.47  % (28030)Time elapsed: 0.078 s
% 0.20/0.47  % (28030)Instructions burned: 3 (million)
% 0.20/0.47  % (28030)------------------------------
% 0.20/0.47  % (28030)------------------------------
% 0.20/0.47  % (28016)Success in time 0.125 s
%------------------------------------------------------------------------------