TSTP Solution File: SYN067-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN067-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:02:03 EDT 2024

% Result   : Unsatisfiable 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  196 (   1 unt;   0 def)
%            Number of atoms       :  844 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 1164 ( 516   ~; 626   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   25 (  24 usr;  23 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-1 aty)
%            Number of variables   :  189 ( 189   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f469,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f77,f82,f83,f90,f94,f98,f102,f106,f107,f108,f109,f110,f114,f115,f124,f143,f145,f148,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f164,f165,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f192,f214,f241,f287,f297,f321,f382,f446,f468]) ).

fof(f468,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f467]) ).

fof(f467,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f466,f398]) ).

fof(f398,plain,
    ( big_p(sk5(sk7))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f383,f81]) ).

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

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

fof(f383,plain,
    ( ! [X0] :
        ( ~ big_r(X0,sk8)
        | big_p(sk5(X0)) )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(resolution,[],[f63,f118]) ).

fof(f118,plain,
    ( ! [X2,X0] :
        ( ~ big_p(X0)
        | big_p(sk5(X2))
        | ~ big_r(X2,X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl0_14
  <=> ! [X2,X0] :
        ( ~ big_p(X0)
        | big_p(sk5(X2))
        | ~ big_r(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f63,plain,
    ( big_p(sk8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_2
  <=> big_p(sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f466,plain,
    ( ~ big_p(sk5(sk7))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f465,f81]) ).

fof(f465,plain,
    ( ~ big_r(sk7,sk8)
    | ~ big_p(sk5(sk7))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(resolution,[],[f387,f442]) ).

fof(f442,plain,
    ( ! [X0] :
        ( ~ big_r(sk6(sk7),X0)
        | ~ big_p(X0) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(resolution,[],[f441,f113]) ).

fof(f113,plain,
    ( ! [X3,X0] :
        ( ~ big_r(sk7,X0)
        | ~ big_p(X3)
        | ~ big_r(X0,X3) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl0_13
  <=> ! [X0,X3] :
        ( ~ big_p(X3)
        | ~ big_r(sk7,X0)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f441,plain,
    ( big_r(sk7,sk6(sk7))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(resolution,[],[f410,f81]) ).

fof(f410,plain,
    ( ! [X0] :
        ( ~ big_r(X0,sk8)
        | big_r(X0,sk6(X0)) )
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(resolution,[],[f136,f63]) ).

fof(f136,plain,
    ( ! [X2,X0] :
        ( ~ big_p(X0)
        | big_r(X2,sk6(X2))
        | ~ big_r(X2,X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl0_18
  <=> ! [X2,X0] :
        ( ~ big_p(X0)
        | big_r(X2,sk6(X2))
        | ~ big_r(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f387,plain,
    ( ! [X0] :
        ( big_r(sk6(X0),sk5(X0))
        | ~ big_r(X0,sk8) )
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(resolution,[],[f63,f142]) ).

fof(f142,plain,
    ( ! [X2,X0] :
        ( ~ big_p(X0)
        | big_r(sk6(X2),sk5(X2))
        | ~ big_r(X2,X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl0_19
  <=> ! [X2,X0] :
        ( ~ big_p(X0)
        | big_r(sk6(X2),sk5(X2))
        | ~ big_r(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f446,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f445]) ).

fof(f445,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f444,f415]) ).

fof(f415,plain,
    ( big_p(sk1(sk7))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f384,f81]) ).

fof(f384,plain,
    ( ! [X0] :
        ( ~ big_r(X0,sk8)
        | big_p(sk1(X0)) )
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(resolution,[],[f63,f122]) ).

fof(f122,plain,
    ( ! [X3,X0] :
        ( ~ big_p(X3)
        | big_p(sk1(X0))
        | ~ big_r(X0,X3) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl0_15
  <=> ! [X0,X3] :
        ( ~ big_p(X3)
        | big_p(sk1(X0))
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f444,plain,
    ( ~ big_p(sk1(sk7))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f443,f81]) ).

fof(f443,plain,
    ( ~ big_r(sk7,sk8)
    | ~ big_p(sk1(sk7))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(resolution,[],[f386,f423]) ).

fof(f423,plain,
    ( ! [X0] :
        ( ~ big_r(sk2(sk7),X0)
        | ~ big_p(X0) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(resolution,[],[f422,f113]) ).

fof(f422,plain,
    ( big_r(sk7,sk2(sk7))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(resolution,[],[f385,f81]) ).

fof(f385,plain,
    ( ! [X0] :
        ( ~ big_r(X0,sk8)
        | big_r(X0,sk2(X0)) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(resolution,[],[f63,f127]) ).

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

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

fof(f386,plain,
    ( ! [X0] :
        ( big_r(sk2(X0),sk1(X0))
        | ~ big_r(X0,sk8) )
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(resolution,[],[f63,f132]) ).

fof(f132,plain,
    ( ! [X3,X0] :
        ( ~ big_p(X3)
        | big_r(sk2(X0),sk1(X0))
        | ~ big_r(X0,X3) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl0_17
  <=> ! [X0,X3] :
        ( ~ big_p(X3)
        | big_r(sk2(X0),sk1(X0))
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f382,plain,
    ( spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f380,f71]) ).

fof(f71,plain,
    ( ~ big_p(sk9)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_4
  <=> big_p(sk9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f380,plain,
    ( big_p(sk9)
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f379]) ).

fof(f379,plain,
    ( big_p(sk9)
    | big_p(sk9)
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(resolution,[],[f350,f97]) ).

fof(f97,plain,
    ( ! [X3] :
        ( big_r(sk2(X3),sk1(X3))
        | big_p(X3) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_10
  <=> ! [X3] :
        ( big_p(X3)
        | big_r(sk2(X3),sk1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f350,plain,
    ( ! [X0] :
        ( ~ big_r(sk2(sk9),sk1(X0))
        | big_p(X0) )
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(resolution,[],[f348,f89]) ).

fof(f89,plain,
    ( ! [X3] :
        ( big_p(sk1(X3))
        | big_p(X3) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_8
  <=> ! [X3] :
        ( big_p(X3)
        | big_p(sk1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk2(sk9),X0) )
    | spl0_4
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f346,f71]) ).

fof(f346,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk2(sk9),X0)
        | big_p(sk9) )
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(resolution,[],[f168,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(f168,plain,
    ( ! [X3,X0] :
        ( ~ big_r(sk9,X0)
        | ~ big_p(X3)
        | ~ big_r(X0,X3) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f167,plain,
    ( spl0_21
  <=> ! [X0,X3] :
        ( ~ big_p(X3)
        | ~ big_r(sk9,X0)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f321,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f320]) ).

fof(f320,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f319,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(f319,plain,
    ( ~ big_r(sk10,sk11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f316,f278]) ).

fof(f278,plain,
    ( big_p(sk1(sk10))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(resolution,[],[f243,f76]) ).

fof(f243,plain,
    ( ! [X0] :
        ( ~ big_r(X0,sk11)
        | big_p(sk1(X0)) )
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(resolution,[],[f59,f122]) ).

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(f316,plain,
    ( ~ big_p(sk1(sk10))
    | ~ big_r(sk10,sk11)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(resolution,[],[f257,f245]) ).

fof(f245,plain,
    ( ! [X0] :
        ( big_r(sk2(X0),sk1(X0))
        | ~ big_r(X0,sk11) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(resolution,[],[f59,f132]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ~ big_r(sk2(sk10),X0)
        | ~ big_p(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl0_26
  <=> ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk2(sk10),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f297,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f295,f76]) ).

fof(f295,plain,
    ( ~ big_r(sk10,sk11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f291,f271]) ).

fof(f271,plain,
    ( big_p(sk5(sk10))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(resolution,[],[f242,f76]) ).

fof(f242,plain,
    ( ! [X0] :
        ( ~ big_r(X0,sk11)
        | big_p(sk5(X0)) )
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(resolution,[],[f59,f118]) ).

fof(f291,plain,
    ( ~ big_p(sk5(sk10))
    | ~ big_r(sk10,sk11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(resolution,[],[f289,f247]) ).

fof(f247,plain,
    ( ! [X0] :
        ( big_r(sk6(X0),sk5(X0))
        | ~ big_r(X0,sk11) )
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(resolution,[],[f59,f142]) ).

fof(f289,plain,
    ( ! [X0] :
        ( ~ big_r(sk6(sk10),X0)
        | ~ big_p(X0) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(resolution,[],[f288,f163]) ).

fof(f163,plain,
    ( ! [X3,X0] :
        ( ~ big_r(sk10,X0)
        | ~ big_p(X3)
        | ~ big_r(X0,X3) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl0_20
  <=> ! [X0,X3] :
        ( ~ big_p(X3)
        | ~ big_r(sk10,X0)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f288,plain,
    ( big_r(sk10,sk6(sk10))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(resolution,[],[f246,f76]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ big_r(X0,sk11)
        | big_r(X0,sk6(X0)) )
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(resolution,[],[f59,f136]) ).

fof(f287,plain,
    ( spl0_26
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_16
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f286,f162,f126,f74,f57,f256]) ).

fof(f286,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk2(sk10),X0) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_16
    | ~ spl0_20 ),
    inference(resolution,[],[f285,f163]) ).

fof(f285,plain,
    ( big_r(sk10,sk2(sk10))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(resolution,[],[f244,f76]) ).

fof(f244,plain,
    ( ! [X0] :
        ( ~ big_r(X0,sk11)
        | big_r(X0,sk2(X0)) )
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(resolution,[],[f59,f127]) ).

fof(f241,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f240]) ).

fof(f240,plain,
    ( $false
    | spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f239,f71]) ).

fof(f239,plain,
    ( big_p(sk9)
    | spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f238]) ).

fof(f238,plain,
    ( big_p(sk9)
    | big_p(sk9)
    | spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(resolution,[],[f237,f105]) ).

fof(f105,plain,
    ( ! [X0] :
        ( big_r(sk4(X0),sk3(X0))
        | big_p(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl0_12
  <=> ! [X0] :
        ( big_p(X0)
        | big_r(sk4(X0),sk3(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f237,plain,
    ( ! [X0] :
        ( ~ big_r(sk4(sk9),sk3(X0))
        | big_p(X0) )
    | spl0_4
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(resolution,[],[f218,f86]) ).

fof(f86,plain,
    ( ! [X0] :
        ( big_p(sk3(X0))
        | big_p(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl0_7
  <=> ! [X0] :
        ( big_p(X0)
        | big_p(sk3(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f218,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk4(sk9),X0) )
    | spl0_4
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f216,f71]) ).

fof(f216,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk4(sk9),X0)
        | big_p(sk9) )
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(resolution,[],[f168,f101]) ).

fof(f101,plain,
    ( ! [X0] :
        ( big_r(X0,sk4(X0))
        | big_p(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl0_11
  <=> ! [X0] :
        ( big_p(X0)
        | big_r(X0,sk4(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f214,plain,
    ( spl0_3
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f213]) ).

fof(f213,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f212,f67]) ).

fof(f67,plain,
    ( ~ big_p(sk7)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl0_3
  <=> big_p(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f212,plain,
    ( big_p(sk7)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f211,plain,
    ( big_p(sk7)
    | big_p(sk7)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(resolution,[],[f201,f105]) ).

fof(f201,plain,
    ( ! [X0] :
        ( ~ big_r(sk4(sk7),sk3(X0))
        | big_p(X0) )
    | spl0_3
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(resolution,[],[f198,f86]) ).

fof(f198,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk4(sk7),X0) )
    | spl0_3
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f197,f67]) ).

fof(f197,plain,
    ( ! [X0] :
        ( big_p(sk7)
        | ~ big_p(X0)
        | ~ big_r(sk4(sk7),X0) )
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(resolution,[],[f101,f113]) ).

fof(f192,plain,
    ( spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f191]) ).

fof(f191,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f190,f67]) ).

fof(f190,plain,
    ( big_p(sk7)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ( big_p(sk7)
    | big_p(sk7)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(resolution,[],[f182,f97]) ).

fof(f182,plain,
    ( ! [X0] :
        ( ~ big_r(sk2(sk7),sk1(X0))
        | big_p(X0) )
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(resolution,[],[f180,f89]) ).

fof(f180,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk2(sk7),X0) )
    | spl0_3
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f179,f67]) ).

fof(f179,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(sk2(sk7),X0)
        | big_p(sk7) )
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(resolution,[],[f113,f93]) ).

fof(f178,plain,
    ( spl0_13
    | spl0_21
    | spl0_20 ),
    inference(avatar_split_clause,[],[f55,f162,f167,f112]) ).

fof(f55,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ big_p(X4)
      | ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X0,X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X5,X4)
      | ~ big_r(sk10,X5)
      | ~ big_r(sk9,X1)
      | ~ big_r(sk7,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_55) ).

fof(f177,plain,
    ( spl0_6
    | ~ spl0_3
    | spl0_21
    | spl0_20 ),
    inference(avatar_split_clause,[],[f49,f162,f167,f65,f79]) ).

fof(f49,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_p(sk7)
      | ~ big_r(X0,X3)
      | ~ big_r(X1,X2)
      | ~ big_r(sk10,X1)
      | ~ big_r(sk9,X0)
      | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_49) ).

fof(f176,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f43,f167,f162,f65,f61]) ).

fof(f43,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X3)
      | ~ big_p(X2)
      | ~ big_p(sk7)
      | big_p(sk8)
      | ~ big_r(X0,X3)
      | ~ big_r(X1,X2)
      | ~ big_r(sk10,X1)
      | ~ big_r(sk9,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_43) ).

fof(f175,plain,
    ( spl0_5
    | spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f54,f167,f112,f74]) ).

fof(f54,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X0,X3)
      | ~ big_r(X1,X2)
      | ~ big_r(sk9,X1)
      | ~ big_r(sk7,X0)
      | big_r(sk10,sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_54) ).

fof(f174,plain,
    ( spl0_1
    | spl0_21
    | spl0_13 ),
    inference(avatar_split_clause,[],[f53,f112,f167,f57]) ).

fof(f53,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X3)
      | ~ big_p(X2)
      | big_p(sk11)
      | ~ big_r(X0,X3)
      | ~ big_r(X1,X2)
      | ~ big_r(sk9,X1)
      | ~ big_r(sk7,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_53) ).

fof(f173,plain,
    ( ~ spl0_4
    | spl0_13
    | spl0_20 ),
    inference(avatar_split_clause,[],[f52,f162,f112,f69]) ).

fof(f52,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_p(sk9)
      | ~ big_r(X0,X3)
      | ~ big_r(X1,X2)
      | ~ big_r(sk10,X1)
      | ~ big_r(sk7,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_52) ).

fof(f172,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f48,f167,f65,f74,f79]) ).

fof(f48,axiom,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | ~ big_p(sk7)
      | ~ big_r(X0,X3)
      | ~ big_r(sk9,X0)
      | big_r(sk10,sk11)
      | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_48) ).

fof(f171,plain,
    ( spl0_6
    | spl0_1
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f47,f167,f65,f57,f79]) ).

fof(f47,axiom,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | ~ big_p(sk7)
      | big_p(sk11)
      | ~ big_r(X0,X3)
      | ~ big_r(sk9,X0)
      | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_47) ).

fof(f170,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f42,f167,f65,f61,f74]) ).

fof(f42,axiom,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | ~ big_p(sk7)
      | big_p(sk8)
      | ~ big_r(X0,X3)
      | ~ big_r(sk9,X0)
      | big_r(sk10,sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_42) ).

fof(f169,plain,
    ( spl0_2
    | spl0_1
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f41,f167,f65,f57,f61]) ).

fof(f41,axiom,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | ~ big_p(sk7)
      | big_p(sk11)
      | big_p(sk8)
      | ~ big_r(X0,X3)
      | ~ big_r(sk9,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_41) ).

fof(f165,plain,
    ( spl0_6
    | ~ spl0_3
    | ~ spl0_4
    | spl0_20 ),
    inference(avatar_split_clause,[],[f46,f162,f69,f65,f79]) ).

fof(f46,axiom,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | ~ big_p(sk9)
      | ~ big_p(sk7)
      | ~ big_r(X0,X3)
      | ~ big_r(sk10,X0)
      | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_46) ).

fof(f164,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_20 ),
    inference(avatar_split_clause,[],[f40,f162,f69,f65,f61]) ).

fof(f40,axiom,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | ~ big_p(sk9)
      | ~ big_p(sk7)
      | big_p(sk8)
      | ~ big_r(X0,X3)
      | ~ big_r(sk10,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_40) ).

fof(f160,plain,
    ( spl0_17
    | spl0_19 ),
    inference(avatar_split_clause,[],[f1,f141,f131]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_r(sk6(X1),sk5(X1))
      | big_r(sk2(X0),sk1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_1) ).

fof(f159,plain,
    ( spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f2,f141,f126]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_r(X0,sk2(X0))
      | big_r(sk6(X1),sk5(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_2) ).

fof(f158,plain,
    ( spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f3,f135,f131]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_r(X1,sk6(X1))
      | big_r(sk2(X0),sk1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_3) ).

fof(f157,plain,
    ( spl0_16
    | spl0_18 ),
    inference(avatar_split_clause,[],[f4,f135,f126]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_r(X1,sk6(X1))
      | big_r(X0,sk2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_4) ).

fof(f156,plain,
    ( spl0_15
    | spl0_19 ),
    inference(avatar_split_clause,[],[f5,f141,f121]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_p(sk1(X0))
      | big_r(sk6(X1),sk5(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_5) ).

fof(f155,plain,
    ( spl0_15
    | spl0_18 ),
    inference(avatar_split_clause,[],[f6,f135,f121]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_p(sk1(X0))
      | big_r(X1,sk6(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_6) ).

fof(f154,plain,
    ( spl0_17
    | spl0_14 ),
    inference(avatar_split_clause,[],[f7,f117,f131]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_p(sk5(X1))
      | big_r(sk2(X0),sk1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_7) ).

fof(f153,plain,
    ( spl0_16
    | spl0_14 ),
    inference(avatar_split_clause,[],[f8,f117,f126]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_p(sk5(X1))
      | big_r(X0,sk2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_8) ).

fof(f152,plain,
    ( spl0_15
    | spl0_14 ),
    inference(avatar_split_clause,[],[f9,f117,f121]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_p(sk5(X1))
      | big_p(sk1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_9) ).

fof(f151,plain,
    ( spl0_10
    | spl0_19 ),
    inference(avatar_split_clause,[],[f10,f141,f96]) ).

fof(f10,axiom,
    ! [X2,X3,X0] :
      ( ~ big_p(X0)
      | big_p(X3)
      | ~ big_r(X2,X0)
      | big_r(sk6(X2),sk5(X2))
      | big_r(sk2(X3),sk1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_10) ).

fof(f148,plain,
    ( spl0_9
    | spl0_19 ),
    inference(avatar_split_clause,[],[f12,f141,f92]) ).

fof(f12,axiom,
    ! [X2,X3,X0] :
      ( ~ big_p(X0)
      | big_p(X3)
      | ~ big_r(X2,X0)
      | big_r(X3,sk2(X3))
      | big_r(sk6(X2),sk5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_12) ).

fof(f145,plain,
    ( spl0_9
    | spl0_18 ),
    inference(avatar_split_clause,[],[f13,f135,f92]) ).

fof(f13,axiom,
    ! [X2,X3,X0] :
      ( ~ big_p(X0)
      | big_p(X3)
      | ~ big_r(X2,X0)
      | big_r(X2,sk6(X2))
      | big_r(X3,sk2(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_13) ).

fof(f143,plain,
    ( spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f31,f141,f88]) ).

fof(f31,axiom,
    ! [X2,X3,X0] :
      ( ~ big_p(X0)
      | big_p(X3)
      | ~ big_r(X2,X0)
      | big_p(sk1(X3))
      | big_r(sk6(X2),sk5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_31) ).

fof(f124,plain,
    ( spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f15,f117,f92]) ).

fof(f15,axiom,
    ! [X2,X3,X0] :
      ( ~ big_p(X0)
      | big_p(X3)
      | ~ big_r(X2,X0)
      | big_p(sk5(X2))
      | big_r(X3,sk2(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_15) ).

fof(f115,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f51,f112,f69,f74]) ).

fof(f51,axiom,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | ~ big_p(sk9)
      | ~ big_r(X0,X3)
      | ~ big_r(sk7,X0)
      | big_r(sk10,sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_51) ).

fof(f114,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f50,f112,f69,f57]) ).

fof(f50,axiom,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | ~ big_p(sk9)
      | big_p(sk11)
      | ~ big_r(X0,X3)
      | ~ big_r(sk7,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_50) ).

fof(f110,plain,
    ( spl0_12
    | spl0_10 ),
    inference(avatar_split_clause,[],[f25,f96,f104]) ).

fof(f25,axiom,
    ! [X3,X0] :
      ( big_p(X3)
      | big_p(X0)
      | big_r(sk4(X0),sk3(X0))
      | big_r(sk2(X3),sk1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_25) ).

fof(f109,plain,
    ( spl0_9
    | spl0_12 ),
    inference(avatar_split_clause,[],[f27,f104,f92]) ).

fof(f27,axiom,
    ! [X3,X0] :
      ( big_p(X0)
      | big_p(X3)
      | big_r(X3,sk2(X3))
      | big_r(sk4(X0),sk3(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_27) ).

fof(f108,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f26,f100,f96]) ).

fof(f26,axiom,
    ! [X3,X0] :
      ( big_p(X0)
      | big_p(X3)
      | big_r(X0,sk4(X0))
      | big_r(sk2(X3),sk1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_26) ).

fof(f107,plain,
    ( spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f28,f100,f92]) ).

fof(f28,axiom,
    ! [X3,X0] :
      ( big_p(X0)
      | big_p(X3)
      | big_r(X0,sk4(X0))
      | big_r(X3,sk2(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_28) ).

fof(f106,plain,
    ( spl0_8
    | spl0_12 ),
    inference(avatar_split_clause,[],[f34,f104,f88]) ).

fof(f34,axiom,
    ! [X3,X0] :
      ( big_p(X0)
      | big_p(X3)
      | big_p(sk1(X3))
      | big_r(sk4(X0),sk3(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_34) ).

fof(f102,plain,
    ( spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f35,f100,f88]) ).

fof(f35,axiom,
    ! [X3,X0] :
      ( big_p(X0)
      | big_p(X3)
      | big_p(sk1(X3))
      | big_r(X0,sk4(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_35) ).

fof(f98,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f29,f85,f96]) ).

fof(f29,axiom,
    ! [X3,X0] :
      ( big_p(X0)
      | big_p(X3)
      | big_p(sk3(X0))
      | big_r(sk2(X3),sk1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_29) ).

fof(f94,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f30,f85,f92]) ).

fof(f30,axiom,
    ! [X3,X0] :
      ( big_p(X0)
      | big_p(X3)
      | big_p(sk3(X0))
      | big_r(X3,sk2(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_30) ).

fof(f90,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f36,f88,f85]) ).

fof(f36,axiom,
    ! [X3,X0] :
      ( big_p(X3)
      | big_p(X0)
      | big_p(sk3(X0))
      | big_p(sk1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_36) ).

fof(f83,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f45,f69,f65,f74,f79]) ).

fof(f45,axiom,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_r(sk10,sk11)
    | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_45) ).

fof(f82,plain,
    ( spl0_6
    | spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f44,f69,f65,f57,f79]) ).

fof(f44,axiom,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_p(sk11)
    | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_44) ).

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

fof(f39,axiom,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_p(sk8)
    | big_r(sk10,sk11) ),
    file('/export/starexec/sandbox2/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(sk9)
    | ~ big_p(sk7)
    | big_p(sk8)
    | big_p(sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_38) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN067-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 02:09:33 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (8286)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (8288)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (8290)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38  % (8289)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.38  % (8292)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38  % (8291)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (8293)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (8287)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  % (8292)First to succeed.
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  % (8292)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (8292)------------------------------
% 0.22/0.39  % (8292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39  % (8292)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (8292)Memory used [KB]: 983
% 0.22/0.39  % (8292)Time elapsed: 0.011 s
% 0.22/0.39  % (8292)Instructions burned: 17 (million)
% 0.22/0.39  % (8292)------------------------------
% 0.22/0.39  % (8292)------------------------------
% 0.22/0.39  % (8286)Success in time 0.025 s
%------------------------------------------------------------------------------