TSTP Solution File: SYN067-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN067-2 : 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 : n001.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 19:25:25 EDT 2022

% Result   : Unsatisfiable 0.14s 0.46s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   69
% Syntax   : Number of formulae    :  206 (   1 unt;   0 def)
%            Number of atoms       :  852 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 1170 ( 524   ~; 619   |;   0   &)
%                                         (  27 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   30 (  29 usr;  28 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-1 aty)
%            Number of variables   :  200 ( 200   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f445,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f77,f82,f89,f90,f94,f98,f99,f103,f107,f111,f116,f117,f122,f128,f129,f133,f137,f141,f142,f144,f154,f155,f156,f157,f164,f166,f168,f169,f170,f174,f175,f176,f184,f185,f186,f187,f192,f197,f198,f199,f200,f213,f222,f264,f267,f300,f345,f352,f359,f369,f405,f412,f422,f423,f430,f444]) ).

fof(f444,plain,
    ( spl0_37
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f442,f400,f147,f113,f79,f65,f403]) ).

fof(f403,plain,
    ( spl0_37
  <=> ! [X2] :
        ( ~ big_r(sk7,X2)
        | ~ big_p(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f65,plain,
    ( spl0_3
  <=> big_p(sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f79,plain,
    ( spl0_6
  <=> big_r(sk7,sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f113,plain,
    ( spl0_14
  <=> ! [X0,X3] :
        ( ~ big_r(X0,X3)
        | big_p(sk1(X0))
        | ~ big_p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f147,plain,
    ( spl0_20
  <=> ! [X0,X3] :
        ( big_r(sk2(X0),sk1(X0))
        | ~ big_r(X0,X3)
        | ~ big_p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f400,plain,
    ( spl0_36
  <=> ! [X1] :
        ( ~ big_r(sk2(sk7),X1)
        | ~ big_p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f442,plain,
    ( ! [X1] :
        ( ~ big_p(X1)
        | ~ big_r(sk7,X1) )
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f440,f371]) ).

fof(f371,plain,
    ( big_p(sk1(sk7))
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f370,f67]) ).

fof(f67,plain,
    ( big_p(sk8)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f370,plain,
    ( big_p(sk1(sk7))
    | ~ big_p(sk8)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f81,f114]) ).

fof(f114,plain,
    ( ! [X3,X0] :
        ( ~ big_r(X0,X3)
        | big_p(sk1(X0))
        | ~ big_p(X3) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f81,plain,
    ( big_r(sk7,sk8)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f440,plain,
    ( ! [X1] :
        ( ~ big_p(sk1(sk7))
        | ~ big_p(X1)
        | ~ big_r(sk7,X1) )
    | ~ spl0_20
    | ~ spl0_36 ),
    inference(resolution,[],[f148,f401]) ).

fof(f401,plain,
    ( ! [X1] :
        ( ~ big_r(sk2(sk7),X1)
        | ~ big_p(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f148,plain,
    ( ! [X3,X0] :
        ( big_r(sk2(X0),sk1(X0))
        | ~ big_r(X0,X3)
        | ~ big_p(X3) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f430,plain,
    ( spl0_37
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f429,f420,f151,f119,f79,f65,f403]) ).

fof(f119,plain,
    ( spl0_15
  <=> ! [X2,X0] :
        ( ~ big_r(X2,X0)
        | ~ big_p(X0)
        | big_p(sk5(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f151,plain,
    ( spl0_21
  <=> ! [X2,X0] :
        ( ~ big_r(X2,X0)
        | big_r(sk6(X2),sk5(X2))
        | ~ big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f420,plain,
    ( spl0_38
  <=> ! [X5] :
        ( ~ big_p(X5)
        | ~ big_r(sk6(sk7),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f429,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk7,X0) )
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f424,f387]) ).

fof(f387,plain,
    ( big_p(sk5(sk7))
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f384,f67]) ).

fof(f384,plain,
    ( ~ big_p(sk8)
    | big_p(sk5(sk7))
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f120,f81]) ).

fof(f120,plain,
    ( ! [X2,X0] :
        ( ~ big_r(X2,X0)
        | big_p(sk5(X2))
        | ~ big_p(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f424,plain,
    ( ! [X0] :
        ( ~ big_p(sk5(sk7))
        | ~ big_r(sk7,X0)
        | ~ big_p(X0) )
    | ~ spl0_21
    | ~ spl0_38 ),
    inference(resolution,[],[f421,f152]) ).

fof(f152,plain,
    ( ! [X2,X0] :
        ( big_r(sk6(X2),sk5(X2))
        | ~ big_p(X0)
        | ~ big_r(X2,X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f421,plain,
    ( ! [X5] :
        ( ~ big_r(sk6(sk7),X5)
        | ~ big_p(X5) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f423,plain,
    ( spl0_33
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f398,f235,f147,f113,f340]) ).

fof(f340,plain,
    ( spl0_33
  <=> ! [X7] :
        ( ~ big_p(X7)
        | ~ big_r(sk10,X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f235,plain,
    ( spl0_23
  <=> ! [X3] :
        ( ~ big_r(sk2(sk10),X3)
        | ~ big_p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f398,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk10,X0) )
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f393,f114]) ).

fof(f393,plain,
    ( ! [X0] :
        ( ~ big_r(sk10,X0)
        | ~ big_p(X0)
        | ~ big_p(sk1(sk10)) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(resolution,[],[f236,f148]) ).

fof(f236,plain,
    ( ! [X3] :
        ( ~ big_r(sk2(sk10),X3)
        | ~ big_p(X3) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f422,plain,
    ( spl0_38
    | spl0_37
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f376,f131,f109,f403,f420]) ).

fof(f109,plain,
    ( spl0_13
  <=> ! [X0,X3] :
        ( ~ big_r(sk7,X0)
        | ~ big_p(X3)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f131,plain,
    ( spl0_17
  <=> ! [X2,X0] :
        ( ~ big_r(X2,X0)
        | big_r(X2,sk6(X2))
        | ~ big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f376,plain,
    ( ! [X6,X5] :
        ( ~ big_p(X6)
        | ~ big_p(X5)
        | ~ big_r(sk7,X6)
        | ~ big_r(sk6(sk7),X5) )
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(resolution,[],[f110,f132]) ).

fof(f132,plain,
    ( ! [X2,X0] :
        ( big_r(X2,sk6(X2))
        | ~ big_p(X0)
        | ~ big_r(X2,X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f110,plain,
    ( ! [X3,X0] :
        ( ~ big_r(sk7,X0)
        | ~ big_r(X0,X3)
        | ~ big_p(X3) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f412,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f411]) ).

fof(f411,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f406,f67]) ).

fof(f406,plain,
    ( ~ big_p(sk8)
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(resolution,[],[f404,f81]) ).

fof(f404,plain,
    ( ! [X2] :
        ( ~ big_r(sk7,X2)
        | ~ big_p(X2) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f373,f126,f109,f403,f400]) ).

fof(f126,plain,
    ( spl0_16
  <=> ! [X0,X3] :
        ( ~ big_r(X0,X3)
        | big_r(X0,sk2(X0))
        | ~ big_p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f373,plain,
    ( ! [X2,X1] :
        ( ~ big_r(sk7,X2)
        | ~ big_r(sk2(sk7),X1)
        | ~ big_p(X2)
        | ~ big_p(X1) )
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(resolution,[],[f110,f127]) ).

fof(f127,plain,
    ( ! [X3,X0] :
        ( big_r(X0,sk2(X0))
        | ~ big_r(X0,X3)
        | ~ big_p(X3) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f369,plain,
    ( spl0_33
    | spl0_23
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f272,f135,f126,f235,f340]) ).

fof(f135,plain,
    ( spl0_18
  <=> ! [X0,X3] :
        ( ~ big_r(X0,X3)
        | ~ big_r(sk10,X0)
        | ~ big_p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f272,plain,
    ( ! [X2,X1] :
        ( ~ big_p(X1)
        | ~ big_r(sk10,X2)
        | ~ big_p(X2)
        | ~ big_r(sk2(sk10),X1) )
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(resolution,[],[f136,f127]) ).

fof(f136,plain,
    ( ! [X3,X0] :
        ( ~ big_r(sk10,X0)
        | ~ big_r(X0,X3)
        | ~ big_p(X3) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f359,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f358]) ).

fof(f358,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f353,f59]) ).

fof(f59,plain,
    ( big_p(sk11)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_1
  <=> big_p(sk11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f353,plain,
    ( ~ big_p(sk11)
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(resolution,[],[f341,f76]) ).

fof(f76,plain,
    ( big_r(sk10,sk11)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_5
  <=> big_r(sk10,sk11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f341,plain,
    ( ! [X7] :
        ( ~ big_r(sk10,X7)
        | ~ big_p(X7) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f352,plain,
    ( spl0_33
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f351,f343,f151,f119,f74,f57,f340]) ).

fof(f343,plain,
    ( spl0_34
  <=> ! [X8] :
        ( ~ big_r(sk6(sk10),X8)
        | ~ big_p(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f351,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk10,X0) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f346,f195]) ).

fof(f195,plain,
    ( big_p(sk5(sk10))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f193,f59]) ).

fof(f193,plain,
    ( ~ big_p(sk11)
    | big_p(sk5(sk10))
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(resolution,[],[f76,f120]) ).

fof(f346,plain,
    ( ! [X0] :
        ( ~ big_p(sk5(sk10))
        | ~ big_r(sk10,X0)
        | ~ big_p(X0) )
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(resolution,[],[f344,f152]) ).

fof(f344,plain,
    ( ! [X8] :
        ( ~ big_r(sk6(sk10),X8)
        | ~ big_p(X8) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( spl0_33
    | spl0_34
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f279,f135,f131,f343,f340]) ).

fof(f279,plain,
    ( ! [X8,X7] :
        ( ~ big_r(sk6(sk10),X8)
        | ~ big_p(X7)
        | ~ big_r(sk10,X7)
        | ~ big_p(X8) )
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(resolution,[],[f132,f136]) ).

fof(f300,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f294,f59]) ).

fof(f294,plain,
    ( ~ big_p(sk11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(resolution,[],[f293,f76]) ).

fof(f293,plain,
    ( ! [X0] :
        ( ~ big_r(sk10,X0)
        | ~ big_p(X0) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f288,f196]) ).

fof(f196,plain,
    ( big_p(sk1(sk10))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f194,f59]) ).

fof(f194,plain,
    ( big_p(sk1(sk10))
    | ~ big_p(sk11)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(resolution,[],[f76,f114]) ).

fof(f288,plain,
    ( ! [X0] :
        ( ~ big_r(sk10,X0)
        | ~ big_p(sk1(sk10))
        | ~ big_p(X0) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(resolution,[],[f236,f148]) ).

fof(f267,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f266,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f265,f63]) ).

fof(f63,plain,
    ( ~ big_p(sk9)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_2
  <=> big_p(sk9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f265,plain,
    ( big_p(sk9)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(resolution,[],[f85,f247]) ).

fof(f247,plain,
    ( ~ big_p(sk3(sk9))
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f243,f63]) ).

fof(f243,plain,
    ( ~ big_p(sk3(sk9))
    | big_p(sk9)
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(resolution,[],[f241,f106]) ).

fof(f106,plain,
    ( ! [X0] :
        ( big_r(sk4(X0),sk3(X0))
        | big_p(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl0_12
  <=> ! [X0] :
        ( big_r(sk4(X0),sk3(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f241,plain,
    ( ! [X3] :
        ( ~ big_r(sk4(sk9),X3)
        | ~ big_p(X3) )
    | spl0_2
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f240,f63]) ).

fof(f240,plain,
    ( ! [X3] :
        ( ~ big_p(X3)
        | ~ big_r(sk4(sk9),X3)
        | big_p(sk9) )
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(resolution,[],[f140,f97]) ).

fof(f97,plain,
    ( ! [X0] :
        ( big_r(X0,sk4(X0))
        | big_p(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_10
  <=> ! [X0] :
        ( big_p(X0)
        | big_r(X0,sk4(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f140,plain,
    ( ! [X3,X0] :
        ( ~ big_r(sk9,X0)
        | ~ big_r(X0,X3)
        | ~ big_p(X3) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl0_19
  <=> ! [X0,X3] :
        ( ~ big_r(X0,X3)
        | ~ big_r(sk9,X0)
        | ~ big_p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f85,plain,
    ( ! [X0] :
        ( big_p(sk3(X0))
        | big_p(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_7
  <=> ! [X0] :
        ( big_p(X0)
        | big_p(sk3(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f264,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f263]) ).

fof(f263,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f262,f63]) ).

fof(f262,plain,
    ( big_p(sk9)
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(resolution,[],[f254,f88]) ).

fof(f88,plain,
    ( ! [X3] :
        ( big_p(sk1(X3))
        | big_p(X3) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl0_8
  <=> ! [X3] :
        ( big_p(X3)
        | big_p(sk1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f254,plain,
    ( ~ big_p(sk1(sk9))
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f249,f63]) ).

fof(f249,plain,
    ( ~ big_p(sk1(sk9))
    | big_p(sk9)
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(resolution,[],[f242,f102]) ).

fof(f102,plain,
    ( ! [X3] :
        ( big_r(sk2(X3),sk1(X3))
        | big_p(X3) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_11
  <=> ! [X3] :
        ( big_p(X3)
        | big_r(sk2(X3),sk1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f242,plain,
    ( ! [X2] :
        ( ~ big_r(sk2(sk9),X2)
        | ~ big_p(X2) )
    | spl0_2
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f239,f63]) ).

fof(f239,plain,
    ( ! [X2] :
        ( big_p(sk9)
        | ~ big_p(X2)
        | ~ big_r(sk2(sk9),X2) )
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(resolution,[],[f140,f93]) ).

fof(f93,plain,
    ( ! [X3] :
        ( big_r(X3,sk2(X3))
        | big_p(X3) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl0_9
  <=> ! [X3] :
        ( big_p(X3)
        | big_r(X3,sk2(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f222,plain,
    ( spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f221]) ).

fof(f221,plain,
    ( $false
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f220,f71]) ).

fof(f71,plain,
    ( ~ big_p(sk7)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_4
  <=> big_p(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f220,plain,
    ( big_p(sk7)
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(resolution,[],[f219,f88]) ).

fof(f219,plain,
    ( ~ big_p(sk1(sk7))
    | spl0_4
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f215,f71]) ).

fof(f215,plain,
    ( big_p(sk7)
    | ~ big_p(sk1(sk7))
    | spl0_4
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(resolution,[],[f205,f102]) ).

fof(f205,plain,
    ( ! [X2] :
        ( ~ big_r(sk2(sk7),X2)
        | ~ big_p(X2) )
    | spl0_4
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f202,f71]) ).

fof(f202,plain,
    ( ! [X2] :
        ( ~ big_p(X2)
        | big_p(sk7)
        | ~ big_r(sk2(sk7),X2) )
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(resolution,[],[f110,f93]) ).

fof(f213,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f212]) ).

fof(f212,plain,
    ( $false
    | spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f211,f71]) ).

fof(f211,plain,
    ( big_p(sk7)
    | spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(resolution,[],[f210,f85]) ).

fof(f210,plain,
    ( ~ big_p(sk3(sk7))
    | spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f206,f71]) ).

fof(f206,plain,
    ( big_p(sk7)
    | ~ big_p(sk3(sk7))
    | spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(resolution,[],[f204,f106]) ).

fof(f204,plain,
    ( ! [X3] :
        ( ~ big_r(sk4(sk7),X3)
        | ~ big_p(X3) )
    | spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f203,f71]) ).

fof(f203,plain,
    ( ! [X3] :
        ( big_p(sk7)
        | ~ big_p(X3)
        | ~ big_r(sk4(sk7),X3) )
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(resolution,[],[f110,f97]) ).

fof(f200,plain,
    ( spl0_13
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f55,f139,f135,f109]) ).

fof(f55,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ big_r(sk9,X1)
      | ~ big_r(sk10,X5)
      | ~ big_r(X1,X2)
      | ~ big_r(X5,X4)
      | ~ big_p(X4)
      | ~ big_p(X2)
      | ~ big_r(X0,X3)
      | ~ big_r(sk7,X0)
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_55) ).

fof(f199,plain,
    ( spl0_6
    | spl0_18
    | ~ spl0_4
    | spl0_19 ),
    inference(avatar_split_clause,[],[f49,f139,f69,f135,f79]) ).

fof(f49,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(sk9,X0)
      | ~ big_p(sk7)
      | ~ big_p(X3)
      | ~ big_p(X2)
      | ~ big_r(X1,X2)
      | big_r(sk7,sk8)
      | ~ big_r(X0,X3)
      | ~ big_r(sk10,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_49) ).

fof(f198,plain,
    ( spl0_3
    | spl0_19
    | spl0_18
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f43,f69,f135,f139,f65]) ).

fof(f43,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(sk7)
      | ~ big_r(X1,X2)
      | ~ big_p(X3)
      | ~ big_r(sk9,X0)
      | ~ big_r(sk10,X1)
      | ~ big_r(X0,X3)
      | big_p(sk8)
      | ~ big_p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_43) ).

fof(f197,plain,
    ( spl0_21
    | spl0_20 ),
    inference(avatar_split_clause,[],[f1,f147,f151]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(sk2(X0),sk1(X0))
      | ~ big_r(X1,X2)
      | big_r(sk6(X1),sk5(X1))
      | ~ big_p(X3)
      | ~ big_r(X0,X3)
      | ~ big_p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_1) ).

fof(f192,plain,
    ( spl0_5
    | spl0_13
    | spl0_19 ),
    inference(avatar_split_clause,[],[f54,f139,f109,f74]) ).

fof(f54,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(sk9,X1)
      | ~ big_r(X0,X3)
      | ~ big_r(sk7,X0)
      | ~ big_r(X1,X2)
      | big_r(sk10,sk11)
      | ~ big_p(X2)
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_54) ).

fof(f187,plain,
    ( spl0_20
    | spl0_17 ),
    inference(avatar_split_clause,[],[f3,f131,f147]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(X1,sk6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X3)
      | ~ big_r(X0,X3)
      | ~ big_p(X2)
      | big_r(sk2(X0),sk1(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_3) ).

fof(f186,plain,
    ( spl0_16
    | spl0_21 ),
    inference(avatar_split_clause,[],[f2,f151,f126]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X1,X2)
      | big_r(X0,sk2(X0))
      | ~ big_p(X3)
      | big_r(sk6(X1),sk5(X1))
      | ~ big_r(X0,X3)
      | ~ big_p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_2) ).

fof(f185,plain,
    ( spl0_19
    | spl0_13
    | spl0_1 ),
    inference(avatar_split_clause,[],[f53,f57,f109,f139]) ).

fof(f53,axiom,
    ! [X2,X3,X0,X1] :
      ( big_p(sk11)
      | ~ big_r(X0,X3)
      | ~ big_p(X2)
      | ~ big_r(sk9,X1)
      | ~ big_r(X1,X2)
      | ~ big_r(sk7,X0)
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_53) ).

fof(f184,plain,
    ( spl0_18
    | spl0_13
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f52,f61,f109,f135]) ).

fof(f52,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(sk9)
      | ~ big_r(sk7,X0)
      | ~ big_r(sk10,X1)
      | ~ big_p(X2)
      | ~ big_r(X1,X2)
      | ~ big_p(X3)
      | ~ big_r(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_52) ).

fof(f176,plain,
    ( spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f7,f119,f147]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X1,X2)
      | ~ big_p(X3)
      | ~ big_r(X0,X3)
      | big_p(sk5(X1))
      | big_r(sk2(X0),sk1(X0))
      | ~ big_p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_7) ).

fof(f175,plain,
    ( spl0_14
    | spl0_21 ),
    inference(avatar_split_clause,[],[f5,f151,f113]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X1,X2)
      | ~ big_p(X3)
      | big_r(sk6(X1),sk5(X1))
      | ~ big_r(X0,X3)
      | big_p(sk1(X0))
      | ~ big_p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_5) ).

fof(f174,plain,
    ( spl0_17
    | spl0_16 ),
    inference(avatar_split_clause,[],[f4,f126,f131]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X0,X3)
      | big_r(X0,sk2(X0))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | big_r(X1,sk6(X1))
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_4) ).

fof(f170,plain,
    ( spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f8,f126,f119]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X3)
      | ~ big_r(X0,X3)
      | big_r(X0,sk2(X0))
      | big_p(sk5(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_8) ).

fof(f169,plain,
    ( spl0_14
    | spl0_17 ),
    inference(avatar_split_clause,[],[f6,f131,f113]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X1,X2)
      | ~ big_p(X3)
      | ~ big_p(X2)
      | big_p(sk1(X0))
      | big_r(X1,sk6(X1))
      | ~ big_r(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_6) ).

fof(f168,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_6
    | spl0_19 ),
    inference(avatar_split_clause,[],[f48,f139,f79,f74,f69]) ).

fof(f48,axiom,
    ! [X3,X0] :
      ( ~ big_r(X0,X3)
      | big_r(sk7,sk8)
      | ~ big_r(sk9,X0)
      | big_r(sk10,sk11)
      | ~ big_p(X3)
      | ~ big_p(sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_48) ).

fof(f166,plain,
    ( spl0_16
    | spl0_12 ),
    inference(avatar_split_clause,[],[f17,f105,f126]) ).

fof(f17,axiom,
    ! [X2,X3,X0] :
      ( big_p(X2)
      | big_r(sk4(X2),sk3(X2))
      | big_r(X0,sk2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_17) ).

fof(f164,plain,
    ( spl0_11
    | spl0_17 ),
    inference(avatar_split_clause,[],[f11,f131,f101]) ).

fof(f11,axiom,
    ! [X2,X3,X0] :
      ( big_r(X2,sk6(X2))
      | big_p(X3)
      | ~ big_p(X0)
      | big_r(sk2(X3),sk1(X3))
      | ~ big_r(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_11) ).

fof(f157,plain,
    ( spl0_15
    | spl0_14 ),
    inference(avatar_split_clause,[],[f9,f113,f119]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X3)
      | ~ big_p(X2)
      | big_p(sk1(X0))
      | ~ big_r(X0,X3)
      | big_p(sk5(X1))
      | ~ big_r(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_9) ).

fof(f156,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_4
    | spl0_19 ),
    inference(avatar_split_clause,[],[f47,f139,f69,f79,f57]) ).

fof(f47,axiom,
    ! [X3,X0] :
      ( ~ big_r(X0,X3)
      | ~ big_p(sk7)
      | ~ big_p(X3)
      | big_r(sk7,sk8)
      | big_p(sk11)
      | ~ big_r(sk9,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_47) ).

fof(f155,plain,
    ( spl0_6
    | ~ spl0_2
    | spl0_18
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f46,f69,f135,f61,f79]) ).

fof(f46,axiom,
    ! [X3,X0] :
      ( ~ big_p(sk7)
      | ~ big_p(X3)
      | ~ big_p(sk9)
      | ~ big_r(sk10,X0)
      | ~ big_r(X0,X3)
      | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_46) ).

fof(f154,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_19
    | spl0_3 ),
    inference(avatar_split_clause,[],[f42,f65,f139,f74,f69]) ).

fof(f42,axiom,
    ! [X3,X0] :
      ( big_p(sk8)
      | ~ big_r(X0,X3)
      | ~ big_r(sk9,X0)
      | big_r(sk10,sk11)
      | ~ big_p(sk7)
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_42) ).

fof(f144,plain,
    ( spl0_16
    | spl0_10 ),
    inference(avatar_split_clause,[],[f19,f96,f126]) ).

fof(f19,axiom,
    ! [X2,X3,X0] :
      ( big_r(X2,sk4(X2))
      | big_r(X0,sk2(X0))
      | big_p(X2)
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_19) ).

fof(f142,plain,
    ( spl0_9
    | spl0_17 ),
    inference(avatar_split_clause,[],[f13,f131,f92]) ).

fof(f13,axiom,
    ! [X2,X3,X0] :
      ( ~ big_p(X0)
      | big_p(X3)
      | ~ big_r(X2,X0)
      | big_r(X3,sk2(X3))
      | big_r(X2,sk6(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_13) ).

fof(f141,plain,
    ( spl0_3
    | ~ spl0_4
    | spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f41,f139,f57,f69,f65]) ).

fof(f41,axiom,
    ! [X3,X0] :
      ( ~ big_r(X0,X3)
      | big_p(sk11)
      | ~ big_p(sk7)
      | ~ big_p(X3)
      | ~ big_r(sk9,X0)
      | big_p(sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_41) ).

fof(f137,plain,
    ( spl0_18
    | ~ spl0_4
    | spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f40,f61,f65,f69,f135]) ).

fof(f40,axiom,
    ! [X3,X0] :
      ( ~ big_p(sk9)
      | big_p(sk8)
      | ~ big_p(sk7)
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_r(sk10,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_40) ).

fof(f133,plain,
    ( spl0_8
    | spl0_17 ),
    inference(avatar_split_clause,[],[f32,f131,f87]) ).

fof(f32,axiom,
    ! [X2,X3,X0] :
      ( ~ big_r(X2,X0)
      | ~ big_p(X0)
      | big_p(sk1(X3))
      | big_p(X3)
      | big_r(X2,sk6(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_32) ).

fof(f129,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f25,f105,f101]) ).

fof(f25,axiom,
    ! [X3,X0] :
      ( big_p(X0)
      | big_r(sk4(X0),sk3(X0))
      | big_p(X3)
      | big_r(sk2(X3),sk1(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_25) ).

fof(f128,plain,
    ( spl0_16
    | spl0_7 ),
    inference(avatar_split_clause,[],[f23,f84,f126]) ).

fof(f23,axiom,
    ! [X2,X3,X0] :
      ( big_p(X2)
      | ~ big_r(X0,X3)
      | big_p(sk3(X2))
      | ~ big_p(X3)
      | big_r(X0,sk2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_23) ).

fof(f122,plain,
    ( spl0_5
    | spl0_13
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f51,f61,f109,f74]) ).

fof(f51,axiom,
    ! [X3,X0] :
      ( ~ big_p(sk9)
      | ~ big_p(X3)
      | big_r(sk10,sk11)
      | ~ big_r(sk7,X0)
      | ~ big_r(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_51) ).

fof(f117,plain,
    ( spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f27,f92,f105]) ).

fof(f27,axiom,
    ! [X3,X0] :
      ( big_r(X3,sk2(X3))
      | big_p(X0)
      | big_r(sk4(X0),sk3(X0))
      | big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_27) ).

fof(f116,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f26,f101,f96]) ).

fof(f26,axiom,
    ! [X3,X0] :
      ( big_r(sk2(X3),sk1(X3))
      | big_p(X3)
      | big_r(X0,sk4(X0))
      | big_p(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_26) ).

fof(f111,plain,
    ( spl0_13
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f50,f61,f57,f109]) ).

fof(f50,axiom,
    ! [X3,X0] :
      ( ~ big_p(sk9)
      | big_p(sk11)
      | ~ big_r(sk7,X0)
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_50) ).

fof(f107,plain,
    ( spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f34,f87,f105]) ).

fof(f34,axiom,
    ! [X3,X0] :
      ( big_p(X3)
      | big_r(sk4(X0),sk3(X0))
      | big_p(sk1(X3))
      | big_p(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_34) ).

fof(f103,plain,
    ( spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f29,f101,f84]) ).

fof(f29,axiom,
    ! [X3,X0] :
      ( big_p(X3)
      | big_p(X0)
      | big_r(sk2(X3),sk1(X3))
      | big_p(sk3(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_29) ).

fof(f99,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f28,f96,f92]) ).

fof(f28,axiom,
    ! [X3,X0] :
      ( big_r(X0,sk4(X0))
      | big_r(X3,sk2(X3))
      | big_p(X0)
      | big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_28) ).

fof(f98,plain,
    ( spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f35,f87,f96]) ).

fof(f35,axiom,
    ! [X3,X0] :
      ( big_p(X3)
      | big_p(X0)
      | big_r(X0,sk4(X0))
      | big_p(sk1(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_35) ).

fof(f94,plain,
    ( spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f30,f92,f84]) ).

fof(f30,axiom,
    ! [X3,X0] :
      ( big_p(X3)
      | big_p(X0)
      | big_p(sk3(X0))
      | big_r(X3,sk2(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_30) ).

fof(f90,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f45,f79,f74,f69,f61]) ).

fof(f45,axiom,
    ( big_r(sk7,sk8)
    | big_r(sk10,sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_45) ).

fof(f89,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f36,f87,f84]) ).

fof(f36,axiom,
    ! [X3,X0] :
      ( big_p(X3)
      | big_p(sk1(X3))
      | big_p(X0)
      | big_p(sk3(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_36) ).

fof(f82,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f44,f61,f69,f79,f57]) ).

fof(f44,axiom,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_r(sk7,sk8)
    | big_p(sk11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_44) ).

fof(f77,plain,
    ( spl0_3
    | spl0_5
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f39,f69,f61,f74,f65]) ).

fof(f39,axiom,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk10,sk11)
    | big_p(sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_39) ).

fof(f72,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f38,f69,f65,f61,f57]) ).

fof(f38,axiom,
    ( ~ big_p(sk7)
    | big_p(sk8)
    | ~ big_p(sk9)
    | big_p(sk11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_38) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN067-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29  % Computer : n001.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 30 21:48:32 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.43  % (19349)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)
% 0.14/0.43  % (19362)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.14/0.43  % (19346)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.43  % (19364)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.44  % (19344)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.14/0.44  % (19345)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.14/0.44  % (19350)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)
% 0.14/0.44  % (19370)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.44  % (19357)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.45  % (19357)Instruction limit reached!
% 0.14/0.45  % (19357)------------------------------
% 0.14/0.45  % (19357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45  % (19357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45  % (19357)Termination reason: Unknown
% 0.14/0.45  % (19357)Termination phase: Saturation
% 0.14/0.45  
% 0.14/0.45  % (19357)Memory used [KB]: 5884
% 0.14/0.45  % (19357)Time elapsed: 0.006 s
% 0.14/0.45  % (19357)Instructions burned: 2 (million)
% 0.14/0.45  % (19357)------------------------------
% 0.14/0.45  % (19357)------------------------------
% 0.14/0.45  % (19350)First to succeed.
% 0.14/0.45  % (19353)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.14/0.45  % (19369)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.14/0.45  % (19343)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.45  % (19348)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.45  % (19349)Instruction limit reached!
% 0.14/0.45  % (19349)------------------------------
% 0.14/0.45  % (19349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45  % (19349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45  % (19349)Termination reason: Unknown
% 0.14/0.45  % (19349)Termination phase: Saturation
% 0.14/0.45  
% 0.14/0.45  % (19349)Memory used [KB]: 5884
% 0.14/0.45  % (19349)Time elapsed: 0.004 s
% 0.14/0.45  % (19349)Instructions burned: 3 (million)
% 0.14/0.45  % (19349)------------------------------
% 0.14/0.45  % (19349)------------------------------
% 0.14/0.45  % (19342)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)
% 0.14/0.45  % (19352)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)
% 0.14/0.45  % (19354)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.45  % (19363)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.14/0.46  % (19354)Instruction limit reached!
% 0.14/0.46  % (19354)------------------------------
% 0.14/0.46  % (19354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (19354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (19354)Termination reason: Unknown
% 0.14/0.46  % (19354)Termination phase: Saturation
% 0.14/0.46  
% 0.14/0.46  % (19354)Memory used [KB]: 5884
% 0.14/0.46  % (19354)Time elapsed: 0.004 s
% 0.14/0.46  % (19354)Instructions burned: 3 (million)
% 0.14/0.46  % (19354)------------------------------
% 0.14/0.46  % (19354)------------------------------
% 0.14/0.46  % (19350)Refutation found. Thanks to Tanya!
% 0.14/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46  % (19350)------------------------------
% 0.14/0.46  % (19350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (19350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (19350)Termination reason: Refutation
% 0.14/0.46  
% 0.14/0.46  % (19350)Memory used [KB]: 6140
% 0.14/0.46  % (19350)Time elapsed: 0.105 s
% 0.14/0.46  % (19350)Instructions burned: 10 (million)
% 0.14/0.46  % (19350)------------------------------
% 0.14/0.46  % (19350)------------------------------
% 0.14/0.46  % (19340)Success in time 0.154 s
%------------------------------------------------------------------------------