TSTP Solution File: KRS111+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS111+1 : TPTP v8.2.0. Released v3.1.0.
% 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 : Mon May 20 23:22:00 EDT 2024

% Result   : Unsatisfiable 0.16s 0.41s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  227 (  31 unt;   0 def)
%            Number of atoms       :  685 (  47 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  797 ( 339   ~; 324   |;  58   &)
%                                         (  61 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   62 (  60 usr;  47 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  314 ( 286   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f434,plain,
    $false,
    inference(avatar_sat_refutation,[],[f192,f196,f200,f204,f208,f213,f217,f221,f225,f229,f233,f237,f241,f245,f249,f253,f257,f261,f265,f269,f273,f277,f285,f294,f298,f302,f306,f313,f320,f324,f328,f332,f336,f340,f351,f355,f359,f373,f377,f383,f387,f394,f398,f411,f416,f431,f433]) ).

fof(f433,plain,
    ( ~ spl5_1
    | ~ spl5_9
    | spl5_46 ),
    inference(avatar_split_clause,[],[f432,f428,f223,f189]) ).

fof(f189,plain,
    ( spl5_1
  <=> cUnsatisfiable(i2003_11_14_17_21_15425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f223,plain,
    ( spl5_9
  <=> ! [X0] :
        ( cp(sK2(X0))
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

fof(f428,plain,
    ( spl5_46
  <=> cp(sK2(i2003_11_14_17_21_15425)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).

fof(f432,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_15425)
    | ~ spl5_9
    | spl5_46 ),
    inference(resolution,[],[f430,f224]) ).

fof(f224,plain,
    ( ! [X0] :
        ( cp(sK2(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_9 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f430,plain,
    ( ~ cp(sK2(i2003_11_14_17_21_15425))
    | spl5_46 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f431,plain,
    ( ~ spl5_1
    | ~ spl5_46
    | ~ spl5_29
    | ~ spl5_45 ),
    inference(avatar_split_clause,[],[f423,f413,f318,f428,f189]) ).

fof(f318,plain,
    ( spl5_29
  <=> ! [X0] :
        ( ~ cp(sK4(X0))
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).

fof(f413,plain,
    ( spl5_45
  <=> sK2(i2003_11_14_17_21_15425) = sK4(i2003_11_14_17_21_15425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).

fof(f423,plain,
    ( ~ cp(sK2(i2003_11_14_17_21_15425))
    | ~ cUnsatisfiable(i2003_11_14_17_21_15425)
    | ~ spl5_29
    | ~ spl5_45 ),
    inference(superposition,[],[f319,f415]) ).

fof(f415,plain,
    ( sK2(i2003_11_14_17_21_15425) = sK4(i2003_11_14_17_21_15425)
    | ~ spl5_45 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ cp(sK4(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_29 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f416,plain,
    ( spl5_45
    | ~ spl5_1
    | ~ spl5_40
    | ~ spl5_41 ),
    inference(avatar_split_clause,[],[f390,f385,f381,f189,f413]) ).

fof(f381,plain,
    ( spl5_40
  <=> ! [X0] :
        ( sK2(X0) = sK3(X0)
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).

fof(f385,plain,
    ( spl5_41
  <=> ! [X0] :
        ( sK3(X0) = sK4(X0)
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).

fof(f390,plain,
    ( sK2(i2003_11_14_17_21_15425) = sK4(i2003_11_14_17_21_15425)
    | ~ spl5_1
    | ~ spl5_40
    | ~ spl5_41 ),
    inference(forward_demodulation,[],[f389,f388]) ).

fof(f388,plain,
    ( sK2(i2003_11_14_17_21_15425) = sK3(i2003_11_14_17_21_15425)
    | ~ spl5_1
    | ~ spl5_40 ),
    inference(resolution,[],[f382,f191]) ).

fof(f191,plain,
    ( cUnsatisfiable(i2003_11_14_17_21_15425)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f382,plain,
    ( ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | sK2(X0) = sK3(X0) )
    | ~ spl5_40 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f389,plain,
    ( sK3(i2003_11_14_17_21_15425) = sK4(i2003_11_14_17_21_15425)
    | ~ spl5_1
    | ~ spl5_41 ),
    inference(resolution,[],[f386,f191]) ).

fof(f386,plain,
    ( ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | sK3(X0) = sK4(X0) )
    | ~ spl5_41 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f411,plain,
    ( spl5_44
    | ~ spl5_1
    | ~ spl5_40 ),
    inference(avatar_split_clause,[],[f388,f381,f189,f408]) ).

fof(f408,plain,
    ( spl5_44
  <=> sK2(i2003_11_14_17_21_15425) = sK3(i2003_11_14_17_21_15425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).

fof(f398,plain,
    ( spl5_43
    | ~ spl5_27
    | ~ spl5_31 ),
    inference(avatar_split_clause,[],[f343,f326,f304,f396]) ).

fof(f396,plain,
    ( spl5_43
  <=> ! [X0,X1] :
        ( ~ cUnsatisfiable(X0)
        | sK3(X0) = X1
        | ~ rf1(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).

fof(f304,plain,
    ( spl5_27
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | ~ rf1(X0,X2)
        | ~ rf1(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).

fof(f326,plain,
    ( spl5_31
  <=> ! [X0] :
        ( rf1(X0,sK3(X0))
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).

fof(f343,plain,
    ( ! [X0,X1] :
        ( ~ cUnsatisfiable(X0)
        | sK3(X0) = X1
        | ~ rf1(X0,X1) )
    | ~ spl5_27
    | ~ spl5_31 ),
    inference(resolution,[],[f327,f305]) ).

fof(f305,plain,
    ( ! [X2,X0,X1] :
        ( ~ rf1(X0,X2)
        | X1 = X2
        | ~ rf1(X0,X1) )
    | ~ spl5_27 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f327,plain,
    ( ! [X0] :
        ( rf1(X0,sK3(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_31 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f394,plain,
    ( spl5_42
    | ~ spl5_26
    | ~ spl5_30 ),
    inference(avatar_split_clause,[],[f341,f322,f300,f392]) ).

fof(f392,plain,
    ( spl5_42
  <=> ! [X0,X1] :
        ( ~ cUnsatisfiable(X0)
        | sK3(X0) = X1
        | ~ rf(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).

fof(f300,plain,
    ( spl5_26
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | ~ rf(X0,X2)
        | ~ rf(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).

fof(f322,plain,
    ( spl5_30
  <=> ! [X0] :
        ( rf(X0,sK3(X0))
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).

fof(f341,plain,
    ( ! [X0,X1] :
        ( ~ cUnsatisfiable(X0)
        | sK3(X0) = X1
        | ~ rf(X0,X1) )
    | ~ spl5_26
    | ~ spl5_30 ),
    inference(resolution,[],[f323,f301]) ).

fof(f301,plain,
    ( ! [X2,X0,X1] :
        ( ~ rf(X0,X2)
        | X1 = X2
        | ~ rf(X0,X1) )
    | ~ spl5_26 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f323,plain,
    ( ! [X0] :
        ( rf(X0,sK3(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_30 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f387,plain,
    ( spl5_41
    | ~ spl5_31
    | ~ spl5_37 ),
    inference(avatar_split_clause,[],[f368,f357,f326,f385]) ).

fof(f357,plain,
    ( spl5_37
  <=> ! [X0,X1] :
        ( sK4(X1) = X0
        | ~ rf1(X1,X0)
        | ~ cUnsatisfiable(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).

fof(f368,plain,
    ( ! [X0] :
        ( sK3(X0) = sK4(X0)
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_31
    | ~ spl5_37 ),
    inference(duplicate_literal_removal,[],[f367]) ).

fof(f367,plain,
    ( ! [X0] :
        ( sK3(X0) = sK4(X0)
        | ~ cUnsatisfiable(X0)
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_31
    | ~ spl5_37 ),
    inference(resolution,[],[f358,f327]) ).

fof(f358,plain,
    ( ! [X0,X1] :
        ( ~ rf1(X1,X0)
        | sK4(X1) = X0
        | ~ cUnsatisfiable(X1) )
    | ~ spl5_37 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f383,plain,
    ( spl5_40
    | ~ spl5_30
    | ~ spl5_36 ),
    inference(avatar_split_clause,[],[f364,f353,f322,f381]) ).

fof(f353,plain,
    ( spl5_36
  <=> ! [X0,X1] :
        ( sK2(X1) = X0
        | ~ rf(X1,X0)
        | ~ cUnsatisfiable(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).

fof(f364,plain,
    ( ! [X0] :
        ( sK2(X0) = sK3(X0)
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_30
    | ~ spl5_36 ),
    inference(duplicate_literal_removal,[],[f363]) ).

fof(f363,plain,
    ( ! [X0] :
        ( sK2(X0) = sK3(X0)
        | ~ cUnsatisfiable(X0)
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_30
    | ~ spl5_36 ),
    inference(resolution,[],[f354,f323]) ).

fof(f354,plain,
    ( ! [X0,X1] :
        ( ~ rf(X1,X0)
        | sK2(X1) = X0
        | ~ cUnsatisfiable(X1) )
    | ~ spl5_36 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f377,plain,
    ( spl5_39
    | ~ spl5_20
    | ~ spl5_31 ),
    inference(avatar_split_clause,[],[f344,f326,f267,f375]) ).

fof(f375,plain,
    ( spl5_39
  <=> ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | rinvF1(sK3(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).

fof(f267,plain,
    ( spl5_20
  <=> ! [X0,X1] :
        ( rinvF1(X0,X1)
        | ~ rf1(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).

fof(f344,plain,
    ( ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | rinvF1(sK3(X0),X0) )
    | ~ spl5_20
    | ~ spl5_31 ),
    inference(resolution,[],[f327,f268]) ).

fof(f268,plain,
    ( ! [X0,X1] :
        ( ~ rf1(X1,X0)
        | rinvF1(X0,X1) )
    | ~ spl5_20 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f373,plain,
    ( spl5_38
    | ~ spl5_22
    | ~ spl5_30 ),
    inference(avatar_split_clause,[],[f342,f322,f275,f371]) ).

fof(f371,plain,
    ( spl5_38
  <=> ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | rinvF(sK3(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).

fof(f275,plain,
    ( spl5_22
  <=> ! [X0,X1] :
        ( rinvF(X0,X1)
        | ~ rf(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).

fof(f342,plain,
    ( ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | rinvF(sK3(X0),X0) )
    | ~ spl5_22
    | ~ spl5_30 ),
    inference(resolution,[],[f323,f276]) ).

fof(f276,plain,
    ( ! [X0,X1] :
        ( ~ rf(X1,X0)
        | rinvF(X0,X1) )
    | ~ spl5_22 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f359,plain,
    ( spl5_37
    | ~ spl5_12
    | ~ spl5_27 ),
    inference(avatar_split_clause,[],[f309,f304,f235,f357]) ).

fof(f235,plain,
    ( spl5_12
  <=> ! [X0] :
        ( rf1(X0,sK4(X0))
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).

fof(f309,plain,
    ( ! [X0,X1] :
        ( sK4(X1) = X0
        | ~ rf1(X1,X0)
        | ~ cUnsatisfiable(X1) )
    | ~ spl5_12
    | ~ spl5_27 ),
    inference(resolution,[],[f305,f236]) ).

fof(f236,plain,
    ( ! [X0] :
        ( rf1(X0,sK4(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_12 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f355,plain,
    ( spl5_36
    | ~ spl5_14
    | ~ spl5_26 ),
    inference(avatar_split_clause,[],[f308,f300,f243,f353]) ).

fof(f243,plain,
    ( spl5_14
  <=> ! [X0] :
        ( rf(X0,sK2(X0))
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).

fof(f308,plain,
    ( ! [X0,X1] :
        ( sK2(X1) = X0
        | ~ rf(X1,X0)
        | ~ cUnsatisfiable(X1) )
    | ~ spl5_14
    | ~ spl5_26 ),
    inference(resolution,[],[f301,f244]) ).

fof(f244,plain,
    ( ! [X0] :
        ( rf(X0,sK2(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_14 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f351,plain,
    ( spl5_35
    | ~ spl5_13
    | ~ spl5_25 ),
    inference(avatar_split_clause,[],[f307,f296,f239,f349]) ).

fof(f349,plain,
    ( spl5_35
  <=> ! [X0,X1] :
        ( sK3(X1) = X0
        | ~ rs(X1,X0)
        | ~ cUnsatisfiable(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).

fof(f239,plain,
    ( spl5_13
  <=> ! [X0] :
        ( rs(X0,sK3(X0))
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).

fof(f296,plain,
    ( spl5_25
  <=> ! [X2,X0,X1] :
        ( X1 = X2
        | ~ rs(X0,X2)
        | ~ rs(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).

fof(f307,plain,
    ( ! [X0,X1] :
        ( sK3(X1) = X0
        | ~ rs(X1,X0)
        | ~ cUnsatisfiable(X1) )
    | ~ spl5_13
    | ~ spl5_25 ),
    inference(resolution,[],[f297,f240]) ).

fof(f240,plain,
    ( ! [X0] :
        ( rs(X0,sK3(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_13 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f297,plain,
    ( ! [X2,X0,X1] :
        ( ~ rs(X0,X2)
        | X1 = X2
        | ~ rs(X0,X1) )
    | ~ spl5_25 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f340,plain,
    ( spl5_34
    | ~ spl5_14
    | ~ spl5_22 ),
    inference(avatar_split_clause,[],[f290,f275,f243,f338]) ).

fof(f338,plain,
    ( spl5_34
  <=> ! [X0] :
        ( rinvF(sK2(X0),X0)
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).

fof(f290,plain,
    ( ! [X0] :
        ( rinvF(sK2(X0),X0)
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_14
    | ~ spl5_22 ),
    inference(resolution,[],[f276,f244]) ).

fof(f336,plain,
    ( spl5_33
    | ~ spl5_12
    | ~ spl5_20 ),
    inference(avatar_split_clause,[],[f289,f267,f235,f334]) ).

fof(f334,plain,
    ( spl5_33
  <=> ! [X0] :
        ( rinvF1(sK4(X0),X0)
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).

fof(f289,plain,
    ( ! [X0] :
        ( rinvF1(sK4(X0),X0)
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_12
    | ~ spl5_20 ),
    inference(resolution,[],[f268,f236]) ).

fof(f332,plain,
    ( spl5_32
    | ~ spl5_13
    | ~ spl5_18 ),
    inference(avatar_split_clause,[],[f288,f259,f239,f330]) ).

fof(f330,plain,
    ( spl5_32
  <=> ! [X0] :
        ( rinvS(sK3(X0),X0)
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).

fof(f259,plain,
    ( spl5_18
  <=> ! [X0,X1] :
        ( rinvS(X0,X1)
        | ~ rs(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).

fof(f288,plain,
    ( ! [X0] :
        ( rinvS(sK3(X0),X0)
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_13
    | ~ spl5_18 ),
    inference(resolution,[],[f260,f240]) ).

fof(f260,plain,
    ( ! [X0,X1] :
        ( ~ rs(X1,X0)
        | rinvS(X0,X1) )
    | ~ spl5_18 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f328,plain,
    ( spl5_31
    | ~ spl5_13
    | ~ spl5_16 ),
    inference(avatar_split_clause,[],[f287,f251,f239,f326]) ).

fof(f251,plain,
    ( spl5_16
  <=> ! [X0,X1] :
        ( rf1(X0,X1)
        | ~ rs(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).

fof(f287,plain,
    ( ! [X0] :
        ( rf1(X0,sK3(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_13
    | ~ spl5_16 ),
    inference(resolution,[],[f252,f240]) ).

fof(f252,plain,
    ( ! [X0,X1] :
        ( ~ rs(X0,X1)
        | rf1(X0,X1) )
    | ~ spl5_16 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f324,plain,
    ( spl5_30
    | ~ spl5_13
    | ~ spl5_15 ),
    inference(avatar_split_clause,[],[f286,f247,f239,f322]) ).

fof(f247,plain,
    ( spl5_15
  <=> ! [X0,X1] :
        ( rf(X0,X1)
        | ~ rs(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).

fof(f286,plain,
    ( ! [X0] :
        ( rf(X0,sK3(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_13
    | ~ spl5_15 ),
    inference(resolution,[],[f248,f240]) ).

fof(f248,plain,
    ( ! [X0,X1] :
        ( ~ rs(X0,X1)
        | rf(X0,X1) )
    | ~ spl5_15 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f320,plain,
    ( spl5_29
    | ~ spl5_8
    | ~ spl5_24 ),
    inference(avatar_split_clause,[],[f315,f292,f219,f318]) ).

fof(f219,plain,
    ( spl5_8
  <=> ! [X0] :
        ( cpxcomp(sK4(X0))
        | ~ cUnsatisfiable(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f292,plain,
    ( spl5_24
  <=> ! [X0] :
        ( ~ cpxcomp(X0)
        | ~ cp(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).

fof(f315,plain,
    ( ! [X0] :
        ( ~ cp(sK4(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_8
    | ~ spl5_24 ),
    inference(resolution,[],[f293,f220]) ).

fof(f220,plain,
    ( ! [X0] :
        ( cpxcomp(sK4(X0))
        | ~ cUnsatisfiable(X0) )
    | ~ spl5_8 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f293,plain,
    ( ! [X0] :
        ( ~ cpxcomp(X0)
        | ~ cp(X0) )
    | ~ spl5_24 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f313,plain,
    spl5_28,
    inference(avatar_split_clause,[],[f134,f311]) ).

fof(f311,plain,
    ( spl5_28
  <=> ! [X0,X3,X2,X1] :
        ( cUnsatisfiable(X0)
        | ~ cp(X1)
        | ~ rf(X0,X1)
        | ~ cowlThing(X2)
        | ~ rs(X0,X2)
        | ~ cpxcomp(X3)
        | ~ rf1(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).

fof(f134,plain,
    ! [X2,X3,X0,X1] :
      ( cUnsatisfiable(X0)
      | ~ cp(X1)
      | ~ rf(X0,X1)
      | ~ cowlThing(X2)
      | ~ rs(X0,X2)
      | ~ cpxcomp(X3)
      | ~ rf1(X0,X3) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rf(X0,X1) )
        | ! [X2] :
            ( ~ cowlThing(X2)
            | ~ rs(X0,X2) )
        | ! [X3] :
            ( ~ cpxcomp(X3)
            | ~ rf1(X0,X3) ) )
      & ( ( cp(sK2(X0))
          & rf(X0,sK2(X0))
          & cowlThing(sK3(X0))
          & rs(X0,sK3(X0))
          & cpxcomp(sK4(X0))
          & rf1(X0,sK4(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f111,f114,f113,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ? [X4] :
          ( cp(X4)
          & rf(X0,X4) )
     => ( cp(sK2(X0))
        & rf(X0,sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ! [X0] :
      ( ? [X5] :
          ( cowlThing(X5)
          & rs(X0,X5) )
     => ( cowlThing(sK3(X0))
        & rs(X0,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0] :
      ( ? [X6] :
          ( cpxcomp(X6)
          & rf1(X0,X6) )
     => ( cpxcomp(sK4(X0))
        & rf1(X0,sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rf(X0,X1) )
        | ! [X2] :
            ( ~ cowlThing(X2)
            | ~ rs(X0,X2) )
        | ! [X3] :
            ( ~ cpxcomp(X3)
            | ~ rf1(X0,X3) ) )
      & ( ( ? [X4] :
              ( cp(X4)
              & rf(X0,X4) )
          & ? [X5] :
              ( cowlThing(X5)
              & rs(X0,X5) )
          & ? [X6] :
              ( cpxcomp(X6)
              & rf1(X0,X6) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rf(X0,X1) )
        | ! [X2] :
            ( ~ cowlThing(X2)
            | ~ rs(X0,X2) )
        | ! [X3] :
            ( ~ cpxcomp(X3)
            | ~ rf1(X0,X3) ) )
      & ( ( ? [X1] :
              ( cp(X1)
              & rf(X0,X1) )
          & ? [X2] :
              ( cowlThing(X2)
              & rs(X0,X2) )
          & ? [X3] :
              ( cpxcomp(X3)
              & rf1(X0,X3) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cp(X1)
            | ~ rf(X0,X1) )
        | ! [X2] :
            ( ~ cowlThing(X2)
            | ~ rs(X0,X2) )
        | ! [X3] :
            ( ~ cpxcomp(X3)
            | ~ rf1(X0,X3) ) )
      & ( ( ? [X1] :
              ( cp(X1)
              & rf(X0,X1) )
          & ? [X2] :
              ( cowlThing(X2)
              & rs(X0,X2) )
          & ? [X3] :
              ( cpxcomp(X3)
              & rf1(X0,X3) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( cp(X1)
            & rf(X0,X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rs(X0,X2) )
        & ? [X3] :
            ( cpxcomp(X3)
            & rf1(X0,X3) ) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ? [X4] :
            ( cp(X4)
            & rf(X3,X4) )
        & ? [X4] :
            ( cowlThing(X4)
            & rs(X3,X4) )
        & ? [X4] :
            ( cpxcomp(X4)
            & rf1(X3,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f306,plain,
    spl5_27,
    inference(avatar_split_clause,[],[f166,f304]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rf1(X0,X2)
      | ~ rf1(X0,X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf1(X0,X2)
      | ~ rf1(X0,X1) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf1(X0,X2)
      | ~ rf1(X0,X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( rf1(X0,X2)
        & rf1(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X4,X6] :
      ( ( rf1(X3,X6)
        & rf1(X3,X4) )
     => X4 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f302,plain,
    spl5_26,
    inference(avatar_split_clause,[],[f165,f300]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rf(X0,X2)
      | ~ rf(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ( rf(X0,X2)
        & rf(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3,X4,X6] :
      ( ( rf(X3,X6)
        & rf(X3,X4) )
     => X4 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f298,plain,
    spl5_25,
    inference(avatar_split_clause,[],[f164,f296]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rs(X0,X2)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rs(X0,X2)
      | ~ rs(X0,X1) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rs(X0,X2)
      | ~ rs(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( rs(X0,X2)
        & rs(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X3,X4,X6] :
      ( ( rs(X3,X6)
        & rs(X3,X4) )
     => X4 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(f294,plain,
    ( spl5_24
    | ~ spl5_6
    | ~ spl5_11 ),
    inference(avatar_split_clause,[],[f281,f231,f211,f292]) ).

fof(f211,plain,
    ( spl5_6
  <=> ! [X2,X0] :
        ( ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f231,plain,
    ( spl5_11
  <=> ! [X0] :
        ( ra_Px1(X0,sK1(X0))
        | ~ cpxcomp(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).

fof(f281,plain,
    ( ! [X0] :
        ( ~ cpxcomp(X0)
        | ~ cp(X0) )
    | ~ spl5_6
    | ~ spl5_11 ),
    inference(resolution,[],[f232,f212]) ).

fof(f212,plain,
    ( ! [X2,X0] :
        ( ~ ra_Px1(X0,X2)
        | ~ cp(X0) )
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f232,plain,
    ( ! [X0] :
        ( ra_Px1(X0,sK1(X0))
        | ~ cpxcomp(X0) )
    | ~ spl5_11 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f285,plain,
    ( spl5_23
    | ~ spl5_7
    | ~ spl5_10 ),
    inference(avatar_split_clause,[],[f278,f227,f215,f283]) ).

fof(f283,plain,
    ( spl5_23
  <=> ! [X0] :
        ( cp(X0)
        | cpxcomp(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).

fof(f215,plain,
    ( spl5_7
  <=> ! [X0,X1] :
        ( cpxcomp(X0)
        | ~ ra_Px1(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f227,plain,
    ( spl5_10
  <=> ! [X0] :
        ( cp(X0)
        | ra_Px1(X0,sK0(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

fof(f278,plain,
    ( ! [X0] :
        ( cp(X0)
        | cpxcomp(X0) )
    | ~ spl5_7
    | ~ spl5_10 ),
    inference(resolution,[],[f228,f216]) ).

fof(f216,plain,
    ( ! [X0,X1] :
        ( ~ ra_Px1(X0,X1)
        | cpxcomp(X0) )
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f228,plain,
    ( ! [X0] :
        ( ra_Px1(X0,sK0(X0))
        | cp(X0) )
    | ~ spl5_10 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f277,plain,
    spl5_22,
    inference(avatar_split_clause,[],[f149,f275]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( rinvF(X0,X1)
      | ~ rf(X1,X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X3,X4] :
      ( rinvF(X3,X4)
    <=> rf(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f273,plain,
    spl5_21,
    inference(avatar_split_clause,[],[f148,f271]) ).

fof(f271,plain,
    ( spl5_21
  <=> ! [X0,X1] :
        ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( rf(X1,X0)
      | ~ rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f269,plain,
    spl5_20,
    inference(avatar_split_clause,[],[f147,f267]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( rinvF1(X0,X1)
      | ~ rf1(X1,X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( rinvF1(X0,X1)
        | ~ rf1(X1,X0) )
      & ( rf1(X1,X0)
        | ~ rinvF1(X0,X1) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( rinvF1(X0,X1)
    <=> rf1(X1,X0) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X3,X4] :
      ( rinvF1(X3,X4)
    <=> rf1(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f265,plain,
    spl5_19,
    inference(avatar_split_clause,[],[f146,f263]) ).

fof(f263,plain,
    ( spl5_19
  <=> ! [X0,X1] :
        ( rf1(X1,X0)
        | ~ rinvF1(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( rf1(X1,X0)
      | ~ rinvF1(X0,X1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f261,plain,
    spl5_18,
    inference(avatar_split_clause,[],[f145,f259]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( rinvS(X0,X1)
        | ~ rs(X1,X0) )
      & ( rs(X1,X0)
        | ~ rinvS(X0,X1) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X3,X4] :
      ( rinvS(X3,X4)
    <=> rs(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f257,plain,
    spl5_17,
    inference(avatar_split_clause,[],[f144,f255]) ).

fof(f255,plain,
    ( spl5_17
  <=> ! [X0,X1] :
        ( rs(X1,X0)
        | ~ rinvS(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( rs(X1,X0)
      | ~ rinvS(X0,X1) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f253,plain,
    spl5_16,
    inference(avatar_split_clause,[],[f136,f251]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( rf1(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( rf1(X0,X1)
      | ~ rs(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( rs(X0,X1)
     => rf1(X0,X1) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X3,X4] :
      ( rs(X3,X4)
     => rf1(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f249,plain,
    spl5_15,
    inference(avatar_split_clause,[],[f135,f247]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( rf(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( rf(X0,X1)
      | ~ rs(X0,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( rs(X0,X1)
     => rf(X0,X1) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X4] :
      ( rs(X3,X4)
     => rf(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f245,plain,
    spl5_14,
    inference(avatar_split_clause,[],[f132,f243]) ).

fof(f132,plain,
    ! [X0] :
      ( rf(X0,sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f241,plain,
    spl5_13,
    inference(avatar_split_clause,[],[f130,f239]) ).

fof(f130,plain,
    ! [X0] :
      ( rs(X0,sK3(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f237,plain,
    spl5_12,
    inference(avatar_split_clause,[],[f128,f235]) ).

fof(f128,plain,
    ! [X0] :
      ( rf1(X0,sK4(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f233,plain,
    spl5_11,
    inference(avatar_split_clause,[],[f126,f231]) ).

fof(f126,plain,
    ! [X0] :
      ( ra_Px1(X0,sK1(X0))
      | ~ cpxcomp(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK1(X0))
        | ~ cpxcomp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f106,f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ? [X2] : ra_Px1(X0,X2)
     => ra_Px1(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ cpxcomp(X0) ) ),
    inference(rectify,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ( cpxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ cpxcomp(X0) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( cpxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X3] :
      ( cpxcomp(X3)
    <=> ? [X5] : ra_Px1(X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f229,plain,
    spl5_10,
    inference(avatar_split_clause,[],[f125,f227]) ).

fof(f125,plain,
    ! [X0] :
      ( cp(X0)
      | ra_Px1(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( cp(X0)
        | ra_Px1(X0,sK0(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f102,f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp(X0) ) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ( cp(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cp(X0) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( cp(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( cp(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3] :
      ( cp(X3)
    <=> ~ ? [X4] : ra_Px1(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f225,plain,
    spl5_9,
    inference(avatar_split_clause,[],[f133,f223]) ).

fof(f133,plain,
    ! [X0] :
      ( cp(sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f221,plain,
    spl5_8,
    inference(avatar_split_clause,[],[f129,f219]) ).

fof(f129,plain,
    ! [X0] :
      ( cpxcomp(sK4(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f217,plain,
    spl5_7,
    inference(avatar_split_clause,[],[f127,f215]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( cpxcomp(X0)
      | ~ ra_Px1(X0,X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f213,plain,
    spl5_6,
    inference(avatar_split_clause,[],[f124,f211]) ).

fof(f124,plain,
    ! [X2,X0] :
      ( ~ ra_Px1(X0,X2)
      | ~ cp(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f208,plain,
    spl5_5,
    inference(avatar_split_clause,[],[f123,f206]) ).

fof(f206,plain,
    ( spl5_5
  <=> ! [X0] :
        ( xsd_string(X0)
        | xsd_integer(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f123,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3] :
      ( xsd_string(X3)
    <=> ~ xsd_integer(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f204,plain,
    spl5_4,
    inference(avatar_split_clause,[],[f122,f202]) ).

fof(f202,plain,
    ( spl5_4
  <=> ! [X0] :
        ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f200,plain,
    spl5_3,
    inference(avatar_split_clause,[],[f121,f198]) ).

fof(f198,plain,
    ( spl5_3
  <=> ! [X0] : ~ cowlNothing(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f121,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f196,plain,
    spl5_2,
    inference(avatar_split_clause,[],[f120,f194]) ).

fof(f194,plain,
    ( spl5_2
  <=> ! [X0] : cowlThing(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f120,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f192,plain,
    spl5_1,
    inference(avatar_split_clause,[],[f119,f189]) ).

fof(f119,plain,
    cUnsatisfiable(i2003_11_14_17_21_15425),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    cUnsatisfiable(i2003_11_14_17_21_15425),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : KRS111+1 : TPTP v8.2.0. Released v3.1.0.
% 0.04/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38  % Computer : n015.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat May 18 22:20:38 EDT 2024
% 0.16/0.39  % CPUTime    : 
% 0.16/0.39  % (15426)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (15427)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40  TRYING [1]
% 0.16/0.40  TRYING [2]
% 0.16/0.40  TRYING [3]
% 0.16/0.40  TRYING [4]
% 0.16/0.40  TRYING [5]
% 0.16/0.40  TRYING [6]
% 0.16/0.41  % (15431)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.41  TRYING [7]
% 0.16/0.41  % (15432)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.41  TRYING [8]
% 0.16/0.41  % (15429)WARNING: value z3 for option sas not known
% 0.16/0.41  TRYING [9]
% 0.16/0.41  % (15431)First to succeed.
% 0.16/0.41  % (15432)Also succeeded, but the first one will report.
% 0.16/0.41  % (15429)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.41  TRYING [10]
% 0.16/0.41  % (15431)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15426"
% 0.16/0.41  % (15431)Refutation found. Thanks to Tanya!
% 0.16/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.41  % (15431)------------------------------
% 0.16/0.41  % (15431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.41  % (15431)Termination reason: Refutation
% 0.16/0.41  
% 0.16/0.41  % (15431)Memory used [KB]: 969
% 0.16/0.41  % (15431)Time elapsed: 0.006 s
% 0.16/0.41  % (15431)Instructions burned: 12 (million)
% 0.16/0.41  % (15426)Success in time 0.02 s
%------------------------------------------------------------------------------