TSTP Solution File: SYN067-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN067-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:25:24 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  208 (   3 unt;   0 def)
%            Number of atoms       :  856 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 1129 ( 481   ~; 613   |;   0   &)
%                                         (  35 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   38 (  37 usr;  36 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-1 aty)
%            Number of variables   :  236 ( 236   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f554,plain,
    $false,
    inference(avatar_sat_refutation,[],[f140,f147,f155,f176,f183,f188,f201,f204,f210,f211,f212,f219,f220,f221,f230,f232,f234,f241,f242,f244,f248,f250,f252,f253,f256,f258,f264,f268,f269,f271,f274,f278,f279,f288,f299,f312,f316,f329,f336,f349,f373,f376,f391,f394,f395,f411,f414,f415,f416,f423,f452,f454,f459,f485,f487,f523,f525,f544,f553]) ).

fof(f553,plain,
    ( spl0_23
    | ~ spl0_5
    | spl0_35 ),
    inference(avatar_split_clause,[],[f552,f370,f145,f294]) ).

fof(f294,plain,
    ( spl0_23
  <=> ! [X0] :
        ( ~ big_r(c4,X0)
        | ~ big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f145,plain,
    ( spl0_5
  <=> ! [X0,X3] :
        ( big_p(f2(X0))
        | ~ big_p(X3)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f370,plain,
    ( spl0_35
  <=> big_p(f2(c4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f552,plain,
    ( ! [X0] :
        ( ~ big_r(c4,X0)
        | ~ big_p(X0) )
    | ~ spl0_5
    | spl0_35 ),
    inference(resolution,[],[f146,f372]) ).

fof(f372,plain,
    ( ~ big_p(f2(c4))
    | spl0_35 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f146,plain,
    ( ! [X3,X0] :
        ( big_p(f2(X0))
        | ~ big_r(X0,X3)
        | ~ big_p(X3) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f544,plain,
    ( ~ spl0_35
    | spl0_23
    | ~ spl0_18
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f540,f347,f208,f294,f370]) ).

fof(f208,plain,
    ( spl0_18
  <=> ! [X0,X3] :
        ( big_r(f1(X0),f2(X0))
        | ~ big_r(X0,X3)
        | ~ big_p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f347,plain,
    ( spl0_32
  <=> ! [X3] :
        ( ~ big_r(f1(c4),X3)
        | ~ big_p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f540,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c4,X0)
        | ~ big_p(f2(c4)) )
    | ~ spl0_18
    | ~ spl0_32 ),
    inference(resolution,[],[f348,f209]) ).

fof(f209,plain,
    ( ! [X3,X0] :
        ( big_r(f1(X0),f2(X0))
        | ~ big_r(X0,X3)
        | ~ big_p(X3) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f348,plain,
    ( ! [X3] :
        ( ~ big_r(f1(c4),X3)
        | ~ big_p(X3) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f525,plain,
    ( spl0_27
    | ~ spl0_4
    | spl0_53 ),
    inference(avatar_split_clause,[],[f524,f520,f142,f310]) ).

fof(f310,plain,
    ( spl0_27
  <=> ! [X2] :
        ( ~ big_p(X2)
        | ~ big_r(c2,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f142,plain,
    ( spl0_4
  <=> ! [X2,X1] :
        ( big_p(f6(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f520,plain,
    ( spl0_53
  <=> big_p(f6(c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f524,plain,
    ( ! [X0] :
        ( ~ big_r(c2,X0)
        | ~ big_p(X0) )
    | ~ spl0_4
    | spl0_53 ),
    inference(resolution,[],[f522,f143]) ).

fof(f143,plain,
    ( ! [X2,X1] :
        ( big_p(f6(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f522,plain,
    ( ~ big_p(f6(c2))
    | spl0_53 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f523,plain,
    ( spl0_27
    | ~ spl0_53
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f501,f307,f178,f520,f310]) ).

fof(f178,plain,
    ( spl0_13
  <=> ! [X2,X1] :
        ( big_r(f5(X1),f6(X1))
        | ~ big_r(X1,X2)
        | ~ big_p(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f307,plain,
    ( spl0_26
  <=> ! [X1] :
        ( ~ big_p(X1)
        | ~ big_r(f5(c2),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f501,plain,
    ( ! [X0] :
        ( ~ big_p(f6(c2))
        | ~ big_r(c2,X0)
        | ~ big_p(X0) )
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(resolution,[],[f308,f179]) ).

fof(f179,plain,
    ( ! [X2,X1] :
        ( big_r(f5(X1),f6(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f308,plain,
    ( ! [X1] :
        ( ~ big_r(f5(c2),X1)
        | ~ big_p(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f487,plain,
    ( spl0_23
    | ~ spl0_4
    | spl0_48 ),
    inference(avatar_split_clause,[],[f486,f482,f142,f294]) ).

fof(f482,plain,
    ( spl0_48
  <=> big_p(f6(c4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f486,plain,
    ( ! [X0] :
        ( ~ big_r(c4,X0)
        | ~ big_p(X0) )
    | ~ spl0_4
    | spl0_48 ),
    inference(resolution,[],[f484,f143]) ).

fof(f484,plain,
    ( ~ big_p(f6(c4))
    | spl0_48 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f485,plain,
    ( ~ spl0_48
    | spl0_23
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f463,f297,f178,f294,f482]) ).

fof(f297,plain,
    ( spl0_24
  <=> ! [X1] :
        ( ~ big_p(X1)
        | ~ big_r(f5(c4),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f463,plain,
    ( ! [X0] :
        ( ~ big_r(c4,X0)
        | ~ big_p(X0)
        | ~ big_p(f6(c4)) )
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(resolution,[],[f298,f179]) ).

fof(f298,plain,
    ( ! [X1] :
        ( ~ big_r(f5(c4),X1)
        | ~ big_p(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f459,plain,
    ( spl0_23
    | spl0_32
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f456,f181,f161,f347,f294]) ).

fof(f161,plain,
    ( spl0_9
  <=> ! [X4,X5] :
        ( ~ big_r(X5,X4)
        | ~ big_p(X4)
        | ~ big_r(c4,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f181,plain,
    ( spl0_14
  <=> ! [X0,X3] :
        ( big_r(X0,f1(X0))
        | ~ big_p(X3)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f456,plain,
    ( ! [X2,X1] :
        ( ~ big_p(X1)
        | ~ big_p(X2)
        | ~ big_r(f1(c4),X1)
        | ~ big_r(c4,X2) )
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(resolution,[],[f162,f182]) ).

fof(f182,plain,
    ( ! [X3,X0] :
        ( big_r(X0,f1(X0))
        | ~ big_p(X3)
        | ~ big_r(X0,X3) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f162,plain,
    ( ! [X4,X5] :
        ( ~ big_r(c4,X5)
        | ~ big_p(X4)
        | ~ big_r(X5,X4) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f454,plain,
    ( spl0_8
    | ~ spl0_15
    | spl0_44 ),
    inference(avatar_split_clause,[],[f453,f449,f186,f157]) ).

fof(f157,plain,
    ( spl0_8
  <=> big_p(c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f186,plain,
    ( spl0_15
  <=> ! [X1] :
        ( big_p(X1)
        | big_p(f4(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f449,plain,
    ( spl0_44
  <=> big_p(f4(c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f453,plain,
    ( big_p(c2)
    | ~ spl0_15
    | spl0_44 ),
    inference(resolution,[],[f451,f187]) ).

fof(f187,plain,
    ( ! [X1] :
        ( big_p(f4(X1))
        | big_p(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f451,plain,
    ( ~ big_p(f4(c2))
    | spl0_44 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f452,plain,
    ( ~ spl0_44
    | spl0_8
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f434,f303,f138,f157,f449]) ).

fof(f138,plain,
    ( spl0_3
  <=> ! [X1] :
        ( big_r(f3(X1),f4(X1))
        | big_p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f303,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(f3(c2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f434,plain,
    ( big_p(c2)
    | ~ big_p(f4(c2))
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(resolution,[],[f304,f139]) ).

fof(f139,plain,
    ( ! [X1] :
        ( big_r(f3(X1),f4(X1))
        | big_p(X1) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f304,plain,
    ( ! [X0] :
        ( ~ big_r(f3(c2),X0)
        | ~ big_p(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f423,plain,
    ( spl0_8
    | spl0_25
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f422,f227,f153,f303,f157]) ).

fof(f153,plain,
    ( spl0_7
  <=> ! [X1] :
        ( big_p(X1)
        | big_r(X1,f3(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f227,plain,
    ( spl0_21
  <=> ! [X9,X8] :
        ( ~ big_r(X9,X8)
        | ~ big_p(X8)
        | ~ big_r(c2,X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f422,plain,
    ( ! [X0] :
        ( ~ big_r(f3(c2),X0)
        | ~ big_p(X0)
        | big_p(c2) )
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(resolution,[],[f154,f228]) ).

fof(f228,plain,
    ( ! [X8,X9] :
        ( ~ big_r(c2,X9)
        | ~ big_r(X9,X8)
        | ~ big_p(X8) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f154,plain,
    ( ! [X1] :
        ( big_r(X1,f3(X1))
        | big_p(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f416,plain,
    ( ~ spl0_39
    | spl0_8
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f398,f389,f149,f157,f408]) ).

fof(f408,plain,
    ( spl0_39
  <=> big_p(f2(c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f149,plain,
    ( spl0_6
  <=> ! [X0] :
        ( big_r(f1(X0),f2(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f389,plain,
    ( spl0_37
  <=> ! [X4] :
        ( ~ big_r(f1(c2),X4)
        | ~ big_p(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f398,plain,
    ( big_p(c2)
    | ~ big_p(f2(c2))
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(resolution,[],[f390,f150]) ).

fof(f150,plain,
    ( ! [X0] :
        ( big_r(f1(X0),f2(X0))
        | big_p(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f390,plain,
    ( ! [X4] :
        ( ~ big_r(f1(c2),X4)
        | ~ big_p(X4) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f415,plain,
    ( spl0_8
    | ~ spl0_1
    | spl0_39 ),
    inference(avatar_split_clause,[],[f413,f408,f131,f157]) ).

fof(f131,plain,
    ( spl0_1
  <=> ! [X0] :
        ( big_p(f2(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f413,plain,
    ( big_p(c2)
    | ~ spl0_1
    | spl0_39 ),
    inference(resolution,[],[f410,f132]) ).

fof(f132,plain,
    ( ! [X0] :
        ( big_p(f2(X0))
        | big_p(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f410,plain,
    ( ~ big_p(f2(c2))
    | spl0_39 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f414,plain,
    ( spl0_27
    | ~ spl0_5
    | spl0_39 ),
    inference(avatar_split_clause,[],[f412,f408,f145,f310]) ).

fof(f412,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c2,X0) )
    | ~ spl0_5
    | spl0_39 ),
    inference(resolution,[],[f410,f146]) ).

fof(f411,plain,
    ( ~ spl0_39
    | spl0_27
    | ~ spl0_18
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f406,f389,f208,f310,f408]) ).

fof(f406,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_p(f2(c2))
        | ~ big_r(c2,X0) )
    | ~ spl0_18
    | ~ spl0_37 ),
    inference(resolution,[],[f209,f390]) ).

fof(f395,plain,
    ( spl0_27
    | spl0_37
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f386,f227,f181,f389,f310]) ).

fof(f386,plain,
    ( ! [X2,X3] :
        ( ~ big_r(f1(c2),X2)
        | ~ big_r(c2,X3)
        | ~ big_p(X3)
        | ~ big_p(X2) )
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(resolution,[],[f228,f182]) ).

fof(f394,plain,
    ( ~ spl0_17
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f393,f310,f164,f195]) ).

fof(f195,plain,
    ( spl0_17
  <=> big_p(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f164,plain,
    ( spl0_10
  <=> big_r(c2,c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f393,plain,
    ( ~ big_p(c1)
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(resolution,[],[f166,f311]) ).

fof(f311,plain,
    ( ! [X2] :
        ( ~ big_r(c2,X2)
        | ~ big_p(X2) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f166,plain,
    ( big_r(c2,c1)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f391,plain,
    ( spl0_37
    | spl0_8
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f387,f227,f191,f157,f389]) ).

fof(f191,plain,
    ( spl0_16
  <=> ! [X0] :
        ( big_r(X0,f1(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f387,plain,
    ( ! [X4] :
        ( big_p(c2)
        | ~ big_r(f1(c2),X4)
        | ~ big_p(X4) )
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(resolution,[],[f228,f192]) ).

fof(f192,plain,
    ( ! [X0] :
        ( big_r(X0,f1(X0))
        | big_p(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f376,plain,
    ( spl0_12
    | ~ spl0_1
    | spl0_35 ),
    inference(avatar_split_clause,[],[f375,f370,f131,f173]) ).

fof(f173,plain,
    ( spl0_12
  <=> big_p(c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f375,plain,
    ( big_p(c4)
    | ~ spl0_1
    | spl0_35 ),
    inference(resolution,[],[f372,f132]) ).

fof(f373,plain,
    ( ~ spl0_35
    | spl0_12
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f360,f347,f149,f173,f370]) ).

fof(f360,plain,
    ( big_p(c4)
    | ~ big_p(f2(c4))
    | ~ spl0_6
    | ~ spl0_32 ),
    inference(resolution,[],[f348,f150]) ).

fof(f349,plain,
    ( spl0_12
    | spl0_32
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f345,f191,f161,f347,f173]) ).

fof(f345,plain,
    ( ! [X3] :
        ( ~ big_r(f1(c4),X3)
        | big_p(c4)
        | ~ big_p(X3) )
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(resolution,[],[f162,f192]) ).

fof(f336,plain,
    ( spl0_12
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f335,f326,f186,f173]) ).

fof(f326,plain,
    ( spl0_29
  <=> big_p(f4(c4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f335,plain,
    ( big_p(c4)
    | ~ spl0_15
    | spl0_29 ),
    inference(resolution,[],[f328,f187]) ).

fof(f328,plain,
    ( ~ big_p(f4(c4))
    | spl0_29 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f329,plain,
    ( spl0_12
    | ~ spl0_29
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f322,f286,f138,f326,f173]) ).

fof(f286,plain,
    ( spl0_22
  <=> ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(f3(c4),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f322,plain,
    ( ~ big_p(f4(c4))
    | big_p(c4)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(resolution,[],[f287,f139]) ).

fof(f287,plain,
    ( ! [X0] :
        ( ~ big_r(f3(c4),X0)
        | ~ big_p(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f316,plain,
    ( ~ spl0_11
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f313,f294,f223,f169]) ).

fof(f169,plain,
    ( spl0_11
  <=> big_p(c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f223,plain,
    ( spl0_20
  <=> big_r(c4,c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f313,plain,
    ( ~ big_p(c3)
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(resolution,[],[f295,f225]) ).

fof(f225,plain,
    ( big_r(c4,c3)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f295,plain,
    ( ! [X0] :
        ( ~ big_r(c4,X0)
        | ~ big_p(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f312,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f301,f227,f216,f310,f307]) ).

fof(f216,plain,
    ( spl0_19
  <=> ! [X2,X1] :
        ( ~ big_r(X1,X2)
        | big_r(X1,f5(X1))
        | ~ big_p(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f301,plain,
    ( ! [X2,X1] :
        ( ~ big_p(X2)
        | ~ big_p(X1)
        | ~ big_r(f5(c2),X1)
        | ~ big_r(c2,X2) )
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(resolution,[],[f228,f217]) ).

fof(f217,plain,
    ( ! [X2,X1] :
        ( big_r(X1,f5(X1))
        | ~ big_r(X1,X2)
        | ~ big_p(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f299,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f291,f216,f161,f297,f294]) ).

fof(f291,plain,
    ( ! [X0,X1] :
        ( ~ big_p(X1)
        | ~ big_r(f5(c4),X1)
        | ~ big_r(c4,X0)
        | ~ big_p(X0) )
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(resolution,[],[f217,f162]) ).

fof(f288,plain,
    ( spl0_12
    | spl0_22
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f284,f161,f153,f286,f173]) ).

fof(f284,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | big_p(c4)
        | ~ big_r(f3(c4),X0) )
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(resolution,[],[f162,f154]) ).

fof(f279,plain,
    ( ~ spl0_2
    | spl0_19
    | spl0_14 ),
    inference(avatar_split_clause,[],[f86,f181,f216,f134]) ).

fof(f134,plain,
    ( spl0_2
  <=> big_p(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f86,plain,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X3)
      | big_r(X1,f5(X1))
      | ~ big_r(X0,X3)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | ~ big_r(X1,X2) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(a)
      | ~ big_r(X0,X3)
      | big_r(X0,f1(X0))
      | big_r(X1,f5(X1))
      | ~ big_p(X2)
      | ~ big_p(a)
      | ~ big_r(X1,X2)
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).

fof(f278,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f87,f134]) ).

fof(f87,plain,
    big_p(a),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f37,axiom,
    ( big_p(a)
    | big_p(a)
    | big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_37) ).

fof(f274,plain,
    ( ~ spl0_2
    | spl0_16
    | spl0_7 ),
    inference(avatar_split_clause,[],[f88,f153,f191,f134]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( big_p(X1)
      | big_p(X0)
      | ~ big_p(a)
      | big_r(X1,f3(X1))
      | big_r(X0,f1(X0)) ),
    inference(duplicate_literal_removal,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( big_r(X0,f1(X0))
      | ~ big_p(a)
      | big_p(X0)
      | big_r(X1,f3(X1))
      | ~ big_p(a)
      | big_p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

fof(f271,plain,
    ( spl0_5
    | ~ spl0_2
    | spl0_13 ),
    inference(avatar_split_clause,[],[f90,f178,f134,f145]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X1,X2)
      | ~ big_p(X2)
      | big_r(f5(X1),f6(X1))
      | ~ big_p(a)
      | ~ big_p(X3)
      | big_p(f2(X0))
      | ~ big_r(X0,X3) ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f24,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_r(X0,X3)
      | big_p(f2(X0))
      | ~ big_p(a)
      | big_r(f5(X1),f6(X1))
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).

fof(f269,plain,
    ( ~ spl0_8
    | spl0_17
    | spl0_9
    | spl0_9 ),
    inference(avatar_split_clause,[],[f60,f161,f161,f195,f157]) ).

fof(f60,axiom,
    ! [X6,X7,X4,X5] :
      ( ~ big_p(X4)
      | ~ big_r(X7,X6)
      | big_p(c1)
      | ~ big_r(X5,X4)
      | ~ big_p(c2)
      | ~ big_r(c4,X5)
      | ~ big_r(c4,X7)
      | ~ big_p(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_60) ).

fof(f268,plain,
    ( spl0_19
    | spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f92,f134,f145,f216]) ).

fof(f92,plain,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(a)
      | ~ big_p(X3)
      | ~ big_r(X0,X3)
      | big_p(f2(X0))
      | ~ big_p(X2)
      | big_r(X1,f5(X1))
      | ~ big_r(X1,X2) ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f23,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X1,X2)
      | ~ big_p(a)
      | ~ big_p(X2)
      | ~ big_p(X3)
      | big_p(f2(X0))
      | ~ big_r(X0,X3)
      | big_r(X1,f5(X1))
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).

fof(f264,plain,
    ( spl0_20
    | ~ spl0_12
    | spl0_21 ),
    inference(avatar_split_clause,[],[f79,f227,f173,f223]) ).

fof(f79,axiom,
    ! [X8,X9] :
      ( ~ big_p(X8)
      | ~ big_p(c4)
      | ~ big_r(c2,X9)
      | ~ big_r(X9,X8)
      | big_r(c4,c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_79) ).

fof(f258,plain,
    ( spl0_3
    | ~ spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f97,f191,f134,f138]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( big_r(X0,f1(X0))
      | ~ big_p(a)
      | big_r(f3(X1),f4(X1))
      | big_p(X1)
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( big_p(X1)
      | big_r(X0,f1(X0))
      | big_p(X0)
      | ~ big_p(a)
      | ~ big_p(a)
      | big_r(f3(X1),f4(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

fof(f256,plain,
    ( spl0_21
    | spl0_9
    | spl0_9 ),
    inference(avatar_split_clause,[],[f84,f161,f161,f227]) ).

fof(f84,axiom,
    ! [X8,X6,X9,X7,X4,X5] :
      ( ~ big_r(c4,X7)
      | ~ big_r(X5,X4)
      | ~ big_r(c2,X9)
      | ~ big_p(X4)
      | ~ big_r(X9,X8)
      | ~ big_r(X7,X6)
      | ~ big_p(X8)
      | ~ big_p(X6)
      | ~ big_r(c4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_84) ).

fof(f253,plain,
    ( spl0_17
    | ~ spl0_12
    | spl0_11
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f54,f157,f169,f173,f195]) ).

fof(f54,axiom,
    ( ~ big_p(c2)
    | big_p(c3)
    | ~ big_p(c4)
    | big_p(c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_54) ).

fof(f252,plain,
    ( ~ spl0_2
    | spl0_15
    | spl0_18 ),
    inference(avatar_split_clause,[],[f99,f208,f186,f134]) ).

fof(f99,plain,
    ! [X3,X0,X1] :
      ( ~ big_r(X0,X3)
      | big_p(X1)
      | big_r(f1(X0),f2(X0))
      | big_p(f4(X1))
      | ~ big_p(X3)
      | ~ big_p(a) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,axiom,
    ! [X3,X0,X1] :
      ( big_p(X1)
      | big_p(f4(X1))
      | ~ big_p(a)
      | ~ big_p(a)
      | ~ big_r(X0,X3)
      | big_r(f1(X0),f2(X0))
      | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).

fof(f250,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f100,f149,f138,f134]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( big_p(X0)
      | big_r(f3(X1),f4(X1))
      | big_p(X1)
      | big_r(f1(X0),f2(X0))
      | ~ big_p(a) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( big_p(X0)
      | big_r(f1(X0),f2(X0))
      | big_r(f3(X1),f4(X1))
      | ~ big_p(a)
      | ~ big_p(a)
      | big_p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).

fof(f248,plain,
    ( spl0_15
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f102,f149,f134,f186]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( big_p(X0)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | big_p(X1)
      | big_p(f4(X1)) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( big_p(f4(X1))
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | ~ big_p(a)
      | big_p(X1)
      | big_p(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).

fof(f244,plain,
    ( spl0_11
    | ~ spl0_12
    | spl0_21 ),
    inference(avatar_split_clause,[],[f78,f227,f173,f169]) ).

fof(f78,axiom,
    ! [X8,X9] :
      ( ~ big_r(c2,X9)
      | ~ big_r(X9,X8)
      | ~ big_p(c4)
      | ~ big_p(X8)
      | big_p(c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_78) ).

fof(f242,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f55,f223,f195,f173,f157]) ).

fof(f55,axiom,
    ( big_r(c4,c3)
    | big_p(c1)
    | ~ big_p(c4)
    | ~ big_p(c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_55) ).

fof(f241,plain,
    ( spl0_20
    | ~ spl0_12
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_split_clause,[],[f67,f164,f157,f173,f223]) ).

fof(f67,axiom,
    ( big_r(c2,c1)
    | ~ big_p(c2)
    | ~ big_p(c4)
    | big_r(c4,c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_67) ).

fof(f234,plain,
    ( ~ spl0_8
    | spl0_9
    | spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f72,f161,f164,f161,f157]) ).

fof(f72,axiom,
    ! [X6,X7,X4,X5] :
      ( ~ big_r(X5,X4)
      | big_r(c2,c1)
      | ~ big_r(c4,X7)
      | ~ big_r(X7,X6)
      | ~ big_p(c2)
      | ~ big_p(X4)
      | ~ big_p(X6)
      | ~ big_r(c4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_72) ).

fof(f232,plain,
    ( ~ spl0_2
    | spl0_18
    | spl0_13 ),
    inference(avatar_split_clause,[],[f109,f178,f208,f134]) ).

fof(f109,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(f5(X1),f6(X1))
      | ~ big_p(X3)
      | ~ big_p(X2)
      | big_r(f1(X0),f2(X0))
      | ~ big_p(a)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f36,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(f1(X0),f2(X0))
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | big_r(f5(X1),f6(X1))
      | ~ big_r(X0,X3)
      | ~ big_p(a)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_36) ).

fof(f230,plain,
    ( spl0_18
    | ~ spl0_2
    | spl0_19 ),
    inference(avatar_split_clause,[],[f110,f216,f134,f208]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_p(a)
      | ~ big_r(X1,X2)
      | big_r(f1(X0),f2(X0))
      | ~ big_p(X3)
      | big_r(X1,f5(X1))
      | ~ big_r(X0,X3) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f35,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X0,X3)
      | ~ big_p(a)
      | big_r(X1,f5(X1))
      | big_r(f1(X0),f2(X0))
      | ~ big_r(X1,X2)
      | ~ big_p(a)
      | ~ big_p(X3)
      | ~ big_p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).

fof(f221,plain,
    ( spl0_14
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f111,f134,f142,f181]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(a)
      | big_p(f6(X1))
      | ~ big_p(X2)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | big_r(X0,f1(X0))
      | ~ big_r(X0,X3) ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f28,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | ~ big_p(a)
      | ~ big_p(X2)
      | big_r(X0,f1(X0))
      | big_p(f6(X1))
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).

fof(f220,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f112,f145,f138,f134]) ).

fof(f112,plain,
    ! [X3,X0,X1] :
      ( ~ big_p(X3)
      | big_p(X1)
      | big_p(f2(X0))
      | big_r(f3(X1),f4(X1))
      | ~ big_r(X0,X3)
      | ~ big_p(a) ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f21,axiom,
    ! [X3,X0,X1] :
      ( ~ big_p(a)
      | big_p(X1)
      | big_r(f3(X1),f4(X1))
      | ~ big_r(X0,X3)
      | ~ big_p(a)
      | ~ big_p(X3)
      | big_p(f2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).

fof(f219,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f113,f145,f153,f134]) ).

fof(f113,plain,
    ! [X3,X0,X1] :
      ( big_p(f2(X0))
      | big_p(X1)
      | big_r(X1,f3(X1))
      | ~ big_p(X3)
      | ~ big_r(X0,X3)
      | ~ big_p(a) ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f20,axiom,
    ! [X3,X0,X1] :
      ( ~ big_p(a)
      | big_p(f2(X0))
      | ~ big_p(a)
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | big_r(X1,f3(X1))
      | big_p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).

fof(f212,plain,
    ( ~ spl0_2
    | spl0_15
    | spl0_14 ),
    inference(avatar_split_clause,[],[f115,f181,f186,f134]) ).

fof(f115,plain,
    ! [X3,X0,X1] :
      ( ~ big_p(X3)
      | ~ big_r(X0,X3)
      | big_p(f4(X1))
      | big_r(X0,f1(X0))
      | big_p(X1)
      | ~ big_p(a) ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X0,X1] :
      ( ~ big_p(X3)
      | ~ big_p(a)
      | big_p(X1)
      | big_r(X0,f1(X0))
      | ~ big_p(a)
      | big_p(f4(X1))
      | ~ big_r(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).

fof(f211,plain,
    ( ~ spl0_2
    | spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f116,f153,f131,f134]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( big_p(X1)
      | big_p(f2(X0))
      | ~ big_p(a)
      | big_r(X1,f3(X1))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ big_p(a)
      | ~ big_p(a)
      | big_p(X1)
      | big_p(f2(X0))
      | big_p(X0)
      | big_r(X1,f3(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f210,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_18 ),
    inference(avatar_split_clause,[],[f117,f208,f142,f134]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(f1(X0),f2(X0))
      | big_p(f6(X1))
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_p(a)
      | ~ big_r(X0,X3)
      | ~ big_p(X2) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f34,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_r(X0,X3)
      | ~ big_p(a)
      | ~ big_r(X1,X2)
      | ~ big_p(a)
      | ~ big_p(X3)
      | big_p(f6(X1))
      | big_r(f1(X0),f2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).

fof(f204,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_15 ),
    inference(avatar_split_clause,[],[f118,f186,f145,f134]) ).

fof(f118,plain,
    ! [X3,X0,X1] :
      ( big_p(f4(X1))
      | big_p(X1)
      | ~ big_p(X3)
      | ~ big_p(a)
      | big_p(f2(X0))
      | ~ big_r(X0,X3) ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f19,axiom,
    ! [X3,X0,X1] :
      ( ~ big_p(X3)
      | big_p(X1)
      | ~ big_p(a)
      | big_p(f4(X1))
      | ~ big_r(X0,X3)
      | big_p(f2(X0))
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).

fof(f201,plain,
    ( spl0_16
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_split_clause,[],[f120,f186,f134,f191]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( big_p(X1)
      | ~ big_p(a)
      | big_p(f4(X1))
      | big_r(X0,f1(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( big_p(X0)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | big_p(f4(X1))
      | big_p(X1)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

fof(f188,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_split_clause,[],[f124,f186,f134,f131]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( big_p(X1)
      | big_p(f4(X1))
      | ~ big_p(a)
      | big_p(f2(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_p(a)
      | ~ big_p(a)
      | big_p(f4(X1))
      | big_p(X1)
      | big_p(X0)
      | big_p(f2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f183,plain,
    ( spl0_13
    | ~ spl0_2
    | spl0_14 ),
    inference(avatar_split_clause,[],[f125,f181,f134,f178]) ).

fof(f125,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(X0,f1(X0))
      | ~ big_p(a)
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | big_r(f5(X1),f6(X1))
      | ~ big_p(X2)
      | ~ big_r(X1,X2) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f30,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(f5(X1),f6(X1))
      | ~ big_p(X3)
      | ~ big_p(a)
      | ~ big_p(X2)
      | ~ big_r(X1,X2)
      | ~ big_r(X0,X3)
      | big_r(X0,f1(X0))
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).

fof(f176,plain,
    ( spl0_11
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f66,f173,f164,f157,f169]) ).

fof(f66,axiom,
    ( ~ big_p(c4)
    | big_r(c2,c1)
    | ~ big_p(c2)
    | big_p(c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_66) ).

fof(f155,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f126,f149,f153,f134]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( big_p(X0)
      | big_p(X1)
      | big_r(f1(X0),f2(X0))
      | ~ big_p(a)
      | big_r(X1,f3(X1)) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ~ big_p(a)
      | big_p(X0)
      | big_r(X1,f3(X1))
      | ~ big_p(a)
      | big_p(X1)
      | big_r(f1(X0),f2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).

fof(f147,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f128,f134,f145,f142]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(a)
      | big_p(f2(X0))
      | big_p(f6(X1))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_p(X2) ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f22,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_p(X2)
      | ~ big_r(X0,X3)
      | big_p(f2(X0))
      | big_p(f6(X1))
      | ~ big_p(X3)
      | ~ big_r(X1,X2)
      | ~ big_p(a)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).

fof(f140,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f129,f138,f134,f131]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( big_r(f3(X1),f4(X1))
      | ~ big_p(a)
      | big_p(X1)
      | big_p(f2(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( big_r(f3(X1),f4(X1))
      | big_p(X1)
      | big_p(X0)
      | ~ big_p(a)
      | ~ big_p(a)
      | big_p(f2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN067-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:36:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (23942)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)
% 0.20/0.49  % (23934)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.49  % (23942)Instruction limit reached!
% 0.20/0.49  % (23942)------------------------------
% 0.20/0.49  % (23942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (23942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (23942)Termination reason: Unknown
% 0.20/0.49  % (23942)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (23942)Memory used [KB]: 5884
% 0.20/0.49  % (23942)Time elapsed: 0.005 s
% 0.20/0.49  % (23942)Instructions burned: 3 (million)
% 0.20/0.49  % (23942)------------------------------
% 0.20/0.49  % (23942)------------------------------
% 0.20/0.50  % (23934)First to succeed.
% 0.20/0.50  % (23934)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (23934)------------------------------
% 0.20/0.50  % (23934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (23934)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (23934)Memory used [KB]: 6140
% 0.20/0.50  % (23934)Time elapsed: 0.085 s
% 0.20/0.50  % (23934)Instructions burned: 9 (million)
% 0.20/0.50  % (23934)------------------------------
% 0.20/0.50  % (23934)------------------------------
% 0.20/0.50  % (23928)Success in time 0.15 s
%------------------------------------------------------------------------------