TSTP Solution File: SYN094-1.005 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:25:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  160 (   3 unt;   0 def)
%            Number of atoms       :  432 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  455 ( 183   ~; 243   |;   0   &)
%                                         (  29 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   61 (  60 usr;  61 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f461,plain,
    $false,
    inference(avatar_sat_refutation,[],[f95,f96,f106,f137,f146,f166,f172,f173,f206,f217,f231,f268,f282,f316,f320,f328,f334,f357,f373,f377,f389,f396,f400,f418,f419,f426,f434,f442,f448,f460]) ).

fof(f460,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f459]) ).

fof(f459,plain,
    ( $false
    | spl0_16
    | spl0_17
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f458,f205]) ).

fof(f205,plain,
    ( p_4
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f203,plain,
    ( spl0_22
  <=> p_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f458,plain,
    ( ~ p_4
    | spl0_16
    | spl0_17
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f457,f159]) ).

fof(f159,plain,
    ( ~ q_2
    | spl0_16 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl0_16
  <=> q_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f457,plain,
    ( ~ p_4
    | q_2
    | spl0_17
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f197,f209]) ).

fof(f209,plain,
    ( q_3
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl0_23
  <=> q_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f197,plain,
    ( ~ q_3
    | ~ p_4
    | q_2
    | spl0_17 ),
    inference(subsumption_resolution,[],[f45,f165]) ).

fof(f165,plain,
    ( ~ u_23
    | spl0_17 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f163,plain,
    ( spl0_17
  <=> u_23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f45,axiom,
    ( u_23
    | ~ q_3
    | q_2
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_6) ).

fof(f448,plain,
    ( spl0_35
    | spl0_37
    | ~ spl0_49
    | ~ spl0_54 ),
    inference(avatar_contradiction_clause,[],[f447]) ).

fof(f447,plain,
    ( $false
    | spl0_35
    | spl0_37
    | ~ spl0_49
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f414,f352]) ).

fof(f352,plain,
    ( q_7
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl0_49
  <=> q_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f414,plain,
    ( ~ q_7
    | spl0_35
    | spl0_37
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f402,f384]) ).

fof(f384,plain,
    ( q_8
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl0_54
  <=> q_8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f402,plain,
    ( ~ q_7
    | ~ q_8
    | spl0_35
    | spl0_37 ),
    inference(subsumption_resolution,[],[f378,f271]) ).

fof(f271,plain,
    ( ~ p_6
    | spl0_35 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl0_35
  <=> p_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f378,plain,
    ( ~ q_7
    | ~ q_8
    | p_6
    | spl0_37 ),
    inference(subsumption_resolution,[],[f29,f281]) ).

fof(f281,plain,
    ( ~ u_15
    | spl0_37 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl0_37
  <=> u_15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f29,axiom,
    ( ~ q_8
    | ~ q_7
    | u_15
    | p_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_14) ).

fof(f442,plain,
    ( ~ spl0_9
    | spl0_12
    | spl0_13
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | ~ spl0_9
    | spl0_12
    | spl0_13
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f440,f127]) ).

fof(f127,plain,
    ( p_2
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl0_9
  <=> p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f440,plain,
    ( ~ p_2
    | spl0_12
    | spl0_13
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f436,f209]) ).

fof(f436,plain,
    ( ~ q_3
    | ~ p_2
    | spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f435,f145]) ).

fof(f145,plain,
    ( ~ u_20
    | spl0_13 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl0_13
  <=> u_20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f435,plain,
    ( u_20
    | ~ q_3
    | ~ p_2
    | spl0_12 ),
    inference(subsumption_resolution,[],[f39,f140]) ).

fof(f140,plain,
    ( ~ q_1
    | spl0_12 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl0_12
  <=> q_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f39,axiom,
    ( u_20
    | ~ p_2
    | ~ q_3
    | q_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_3) ).

fof(f434,plain,
    ( spl0_23
    | ~ spl0_24
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f433]) ).

fof(f433,plain,
    ( $false
    | spl0_23
    | ~ spl0_24
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f432,f262]) ).

fof(f262,plain,
    ( p_5
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_33
  <=> p_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f432,plain,
    ( ~ p_5
    | spl0_23
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f428,f215]) ).

fof(f215,plain,
    ( q_4
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_24
  <=> q_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f428,plain,
    ( ~ p_5
    | ~ q_4
    | spl0_23 ),
    inference(subsumption_resolution,[],[f427,f226]) ).

fof(f226,plain,
    ( ~ u_25
    | spl0_23 ),
    inference(subsumption_resolution,[],[f50,f210]) ).

fof(f210,plain,
    ( ~ q_3
    | spl0_23 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f50,axiom,
    ( q_3
    | ~ u_25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_25_s3_type12_8) ).

fof(f427,plain,
    ( u_25
    | ~ p_5
    | ~ q_4
    | spl0_23 ),
    inference(subsumption_resolution,[],[f49,f210]) ).

fof(f49,axiom,
    ( q_3
    | ~ q_4
    | u_25
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_8) ).

fof(f426,plain,
    ( spl0_31
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f425]) ).

fof(f425,plain,
    ( $false
    | spl0_31
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f424,f333]) ).

fof(f333,plain,
    ( u_41
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl0_45
  <=> u_41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f424,plain,
    ( ~ u_41
    | spl0_31 ),
    inference(subsumption_resolution,[],[f82,f252]) ).

fof(f252,plain,
    ( ~ q_9
    | spl0_31 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_31
  <=> q_9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f82,axiom,
    ( q_9
    | ~ u_41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_41_t3_4) ).

fof(f419,plain,
    ( spl0_49
    | ~ spl0_31
    | spl0_50
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f410,f370,f354,f251,f350]) ).

fof(f354,plain,
    ( spl0_50
  <=> u_32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f370,plain,
    ( spl0_53
  <=> p_8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f410,plain,
    ( q_7
    | ~ spl0_31
    | spl0_50
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f409,f372]) ).

fof(f372,plain,
    ( p_8
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f409,plain,
    ( ~ p_8
    | q_7
    | ~ spl0_31
    | spl0_50 ),
    inference(subsumption_resolution,[],[f397,f356]) ).

fof(f356,plain,
    ( ~ u_32
    | spl0_50 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f397,plain,
    ( q_7
    | u_32
    | ~ p_8
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f63,f253]) ).

fof(f253,plain,
    ( q_9
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f63,axiom,
    ( ~ q_9
    | u_32
    | ~ p_8
    | q_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_15) ).

fof(f418,plain,
    ( ~ spl0_49
    | spl0_42
    | spl0_43
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f408,f370,f313,f306,f350]) ).

fof(f306,plain,
    ( spl0_42
  <=> q_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f313,plain,
    ( spl0_43
  <=> u_31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f408,plain,
    ( ~ q_7
    | spl0_42
    | spl0_43
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f407,f372]) ).

fof(f407,plain,
    ( ~ p_8
    | ~ q_7
    | spl0_42
    | spl0_43 ),
    inference(subsumption_resolution,[],[f395,f307]) ).

fof(f307,plain,
    ( ~ q_6
    | spl0_42 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f395,plain,
    ( q_6
    | ~ p_8
    | ~ q_7
    | spl0_43 ),
    inference(subsumption_resolution,[],[f61,f315]) ).

fof(f315,plain,
    ( ~ u_31
    | spl0_43 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f61,axiom,
    ( ~ q_7
    | ~ p_8
    | u_31
    | q_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_14) ).

fof(f400,plain,
    ( ~ spl0_49
    | ~ spl0_42
    | spl0_33
    | spl0_34 ),
    inference(avatar_split_clause,[],[f375,f265,f260,f306,f350]) ).

fof(f265,plain,
    ( spl0_34
  <=> u_13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f375,plain,
    ( ~ q_6
    | ~ q_7
    | spl0_33
    | spl0_34 ),
    inference(subsumption_resolution,[],[f374,f267]) ).

fof(f267,plain,
    ( ~ u_13
    | spl0_34 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f374,plain,
    ( u_13
    | ~ q_6
    | ~ q_7
    | spl0_33 ),
    inference(subsumption_resolution,[],[f25,f261]) ).

fof(f261,plain,
    ( ~ p_5
    | spl0_33 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f25,axiom,
    ( ~ q_6
    | u_13
    | p_5
    | ~ q_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_12) ).

fof(f396,plain,
    ( ~ spl0_55
    | spl0_54 ),
    inference(avatar_split_clause,[],[f80,f382,f386]) ).

fof(f386,plain,
    ( spl0_55
  <=> u_40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f80,axiom,
    ( q_8
    | ~ u_40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_40_t3_3) ).

fof(f389,plain,
    ( spl0_54
    | spl0_55 ),
    inference(avatar_split_clause,[],[f79,f386,f382]) ).

fof(f79,axiom,
    ( u_40
    | q_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_3) ).

fof(f377,plain,
    ( spl0_53
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f76,f366,f370]) ).

fof(f366,plain,
    ( spl0_52
  <=> u_38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f76,axiom,
    ( ~ u_38
    | p_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_38_t3_1) ).

fof(f373,plain,
    ( spl0_52
    | spl0_53 ),
    inference(avatar_split_clause,[],[f75,f370,f366]) ).

fof(f75,axiom,
    ( p_8
    | u_38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_1) ).

fof(f357,plain,
    ( spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f64,f354,f350]) ).

fof(f64,axiom,
    ( ~ u_32
    | q_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_32_s3_type12_15) ).

fof(f334,plain,
    ( spl0_45
    | spl0_31 ),
    inference(avatar_split_clause,[],[f81,f251,f331]) ).

fof(f81,axiom,
    ( q_9
    | u_41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_4) ).

fof(f328,plain,
    ( ~ spl0_42
    | ~ spl0_33
    | spl0_24
    | spl0_26 ),
    inference(avatar_split_clause,[],[f311,f228,f214,f260,f306]) ).

fof(f228,plain,
    ( spl0_26
  <=> u_26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f311,plain,
    ( ~ p_5
    | ~ q_6
    | spl0_24
    | spl0_26 ),
    inference(subsumption_resolution,[],[f310,f216]) ).

fof(f216,plain,
    ( ~ q_4
    | spl0_24 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f310,plain,
    ( q_4
    | ~ q_6
    | ~ p_5
    | spl0_26 ),
    inference(subsumption_resolution,[],[f51,f230]) ).

fof(f230,plain,
    ( ~ u_26
    | spl0_26 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f51,axiom,
    ( u_26
    | ~ q_6
    | q_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_9) ).

fof(f320,plain,
    ( ~ spl0_33
    | ~ spl0_35
    | spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f284,f203,f199,f270,f260]) ).

fof(f199,plain,
    ( spl0_21
  <=> u_10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f284,plain,
    ( ~ p_6
    | ~ p_5
    | spl0_21
    | spl0_22 ),
    inference(subsumption_resolution,[],[f283,f201]) ).

fof(f201,plain,
    ( ~ u_10
    | spl0_21 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f283,plain,
    ( u_10
    | ~ p_5
    | ~ p_6
    | spl0_22 ),
    inference(subsumption_resolution,[],[f19,f204]) ).

fof(f204,plain,
    ( ~ p_4
    | spl0_22 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f19,axiom,
    ( ~ p_6
    | u_10
    | p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_9) ).

fof(f316,plain,
    ( spl0_42
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f62,f313,f306]) ).

fof(f62,axiom,
    ( ~ u_31
    | q_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_31_s3_type12_14) ).

fof(f282,plain,
    ( ~ spl0_37
    | spl0_35 ),
    inference(avatar_split_clause,[],[f30,f270,f279]) ).

fof(f30,axiom,
    ( p_6
    | ~ u_15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_15_s3_type11_14) ).

fof(f268,plain,
    ( ~ spl0_34
    | spl0_33 ),
    inference(avatar_split_clause,[],[f26,f260,f265]) ).

fof(f26,axiom,
    ( p_5
    | ~ u_13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_13_s3_type11_12) ).

fof(f231,plain,
    ( ~ spl0_26
    | spl0_24 ),
    inference(avatar_split_clause,[],[f52,f214,f228]) ).

fof(f52,axiom,
    ( q_4
    | ~ u_26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_26_s3_type12_9) ).

fof(f217,plain,
    ( ~ spl0_24
    | ~ spl0_23
    | spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f193,f134,f125,f208,f214]) ).

fof(f134,plain,
    ( spl0_11
  <=> u_7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f193,plain,
    ( ~ q_3
    | ~ q_4
    | spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f192,f126]) ).

fof(f126,plain,
    ( ~ p_2
    | spl0_9 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f192,plain,
    ( ~ q_3
    | ~ q_4
    | p_2
    | spl0_11 ),
    inference(subsumption_resolution,[],[f13,f136]) ).

fof(f136,plain,
    ( ~ u_7
    | spl0_11 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f13,axiom,
    ( ~ q_3
    | u_7
    | p_2
    | ~ q_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_6) ).

fof(f206,plain,
    ( ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f20,f203,f199]) ).

fof(f20,axiom,
    ( p_4
    | ~ u_10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_10_s3_type11_9) ).

fof(f173,plain,
    ( ~ spl0_12
    | ~ spl0_16
    | spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f147,f103,f88,f158,f139]) ).

fof(f88,plain,
    ( spl0_2
  <=> p_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f103,plain,
    ( spl0_5
  <=> u_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f147,plain,
    ( p_0
    | ~ q_2
    | ~ q_1
    | spl0_5 ),
    inference(subsumption_resolution,[],[f5,f105]) ).

fof(f105,plain,
    ( ~ u_3
    | spl0_5 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f5,axiom,
    ( p_0
    | u_3
    | ~ q_2
    | ~ q_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_2) ).

fof(f172,plain,
    ( ~ spl0_12
    | ~ spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f171,f84,f125,f139]) ).

fof(f84,plain,
    ( spl0_1
  <=> q_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f171,plain,
    ( ~ p_2
    | ~ q_1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f170,f108]) ).

fof(f108,plain,
    ( ~ u_19
    | spl0_1 ),
    inference(subsumption_resolution,[],[f38,f86]) ).

fof(f86,plain,
    ( ~ q_0
    | spl0_1 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f38,axiom,
    ( q_0
    | ~ u_19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_19_s3_type12_2) ).

fof(f170,plain,
    ( u_19
    | ~ p_2
    | ~ q_1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f37,f86]) ).

fof(f37,axiom,
    ( q_0
    | ~ q_1
    | u_19
    | ~ p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_2) ).

fof(f166,plain,
    ( spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f46,f163,f158]) ).

fof(f46,axiom,
    ( ~ u_23
    | q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_23_s3_type12_6) ).

fof(f146,plain,
    ( spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f40,f143,f139]) ).

fof(f40,axiom,
    ( ~ u_20
    | q_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_20_s3_type12_3) ).

fof(f137,plain,
    ( spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f14,f134,f125]) ).

fof(f14,axiom,
    ( ~ u_7
    | p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_7_s3_type11_6) ).

fof(f106,plain,
    ( ~ spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f88,f103]) ).

fof(f6,axiom,
    ( p_0
    | ~ u_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_3_s3_type11_2) ).

fof(f96,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f2,f92]) ).

fof(f92,plain,
    ( spl0_3
  <=> u_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2,axiom,
    ~ u_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_1_s3_goal_1) ).

fof(f95,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f1,f92,f88,f84]) ).

fof(f1,axiom,
    ( u_1
    | ~ p_0
    | ~ q_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_goal_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n020.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
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:32:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (21007)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50  % (21015)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (21007)First to succeed.
% 0.19/0.50  % (21004)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (21007)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (21007)------------------------------
% 0.19/0.51  % (21007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (21007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (21007)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (21007)Memory used [KB]: 6012
% 0.19/0.51  % (21007)Time elapsed: 0.104 s
% 0.19/0.51  % (21007)Instructions burned: 6 (million)
% 0.19/0.51  % (21007)------------------------------
% 0.19/0.51  % (21007)------------------------------
% 0.19/0.51  % (20995)Success in time 0.161 s
%------------------------------------------------------------------------------