TSTP Solution File: SYN067-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 May  1 04:33:09 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  189 (   3 unt;   0 def)
%            Number of atoms       :  828 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 1150 ( 511   ~; 611   |;   0   &)
%                                         (  28 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   31 (  30 usr;  29 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-1 aty)
%            Number of variables   :  206 ( 206   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f578,plain,
    $false,
    inference(avatar_sat_refutation,[],[f140,f144,f148,f164,f165,f166,f173,f174,f175,f185,f186,f187,f194,f195,f196,f203,f204,f205,f206,f246,f247,f252,f262,f263,f268,f277,f278,f283,f303,f321,f331,f351,f358,f382,f402,f403,f442,f446,f471,f498,f535,f560,f574,f576,f577]) ).

fof(f577,plain,
    ( spl0_37
    | spl0_26
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f529,f218,f189,f319,f444]) ).

fof(f444,plain,
    ( spl0_37
  <=> ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(f1(c4),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f319,plain,
    ( spl0_26
  <=> ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c4,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f189,plain,
    ( spl0_12
  <=> ! [X0,X3] :
        ( big_r(X0,f1(X0))
        | ~ big_p(X3)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f218,plain,
    ( spl0_16
  <=> ! [X4,X5] :
        ( ~ big_r(X5,X4)
        | ~ big_p(X4)
        | ~ big_r(c4,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f529,plain,
    ( ! [X0,X1] :
        ( ~ big_p(X0)
        | ~ big_r(c4,X0)
        | ~ big_p(X1)
        | ~ big_r(f1(c4),X1) )
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(resolution,[],[f190,f219]) ).

fof(f219,plain,
    ( ! [X4,X5] :
        ( ~ big_r(c4,X5)
        | ~ big_p(X4)
        | ~ big_r(X5,X4) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f190,plain,
    ( ! [X3,X0] :
        ( big_r(X0,f1(X0))
        | ~ big_p(X3)
        | ~ big_r(X0,X3) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f576,plain,
    ( spl0_26
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f575,f444,f198,f180,f319]) ).

fof(f180,plain,
    ( spl0_11
  <=> ! [X0,X3] :
        ( big_p(f2(X0))
        | ~ big_p(X3)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f198,plain,
    ( spl0_13
  <=> ! [X0,X3] :
        ( big_r(f1(X0),f2(X0))
        | ~ big_p(X3)
        | ~ big_r(X0,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f575,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c4,X0) )
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f555,f181]) ).

fof(f181,plain,
    ( ! [X3,X0] :
        ( ~ big_r(X0,X3)
        | ~ big_p(X3)
        | big_p(f2(X0)) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f555,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c4,X0)
        | ~ big_p(f2(c4)) )
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(resolution,[],[f199,f445]) ).

fof(f445,plain,
    ( ! [X0] :
        ( ~ big_r(f1(c4),X0)
        | ~ big_p(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f199,plain,
    ( ! [X3,X0] :
        ( big_r(f1(X0),f2(X0))
        | ~ big_p(X3)
        | ~ big_r(X0,X3) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f574,plain,
    ( spl0_27
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f573,f533,f198,f180,f326]) ).

fof(f326,plain,
    ( spl0_27
  <=> ! [X1] :
        ( ~ big_p(X1)
        | ~ big_r(c2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f533,plain,
    ( spl0_44
  <=> ! [X1] :
        ( ~ big_p(X1)
        | ~ big_r(f1(c2),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f573,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c2,X0) )
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f556,f181]) ).

fof(f556,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c2,X0)
        | ~ big_p(f2(c2)) )
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(resolution,[],[f199,f534]) ).

fof(f534,plain,
    ( ! [X1] :
        ( ~ big_r(f1(c2),X1)
        | ~ big_p(X1) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f560,plain,
    ( spl0_27
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f559,f533,f254,f238,f198,f180,f326]) ).

fof(f238,plain,
    ( spl0_19
  <=> big_p(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f254,plain,
    ( spl0_20
  <=> big_r(c2,c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f559,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c2,X0) )
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f556,f492]) ).

fof(f492,plain,
    ( big_p(f2(c2))
    | ~ spl0_11
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f489,f240]) ).

fof(f240,plain,
    ( big_p(c1)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f489,plain,
    ( ~ big_p(c1)
    | big_p(f2(c2))
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(resolution,[],[f181,f256]) ).

fof(f256,plain,
    ( big_r(c2,c1)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f535,plain,
    ( spl0_44
    | spl0_27
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f530,f270,f189,f326,f533]) ).

fof(f270,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(f530,plain,
    ( ! [X0,X1] :
        ( ~ big_p(X0)
        | ~ big_r(c2,X0)
        | ~ big_p(X1)
        | ~ big_r(f1(c2),X1) )
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(resolution,[],[f190,f271]) ).

fof(f271,plain,
    ( ! [X8,X9] :
        ( ~ big_r(c2,X9)
        | ~ big_p(X8)
        | ~ big_r(X9,X8) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f498,plain,
    ( spl0_27
    | ~ spl0_8
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f497,f399,f329,f158,f326]) ).

fof(f158,plain,
    ( spl0_8
  <=> ! [X2,X1] :
        ( big_r(f5(X1),f6(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f329,plain,
    ( spl0_28
  <=> ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(f5(c2),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f399,plain,
    ( spl0_35
  <=> big_p(f6(c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f497,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c2,X0) )
    | ~ spl0_8
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f493,f401]) ).

fof(f401,plain,
    ( big_p(f6(c2))
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f493,plain,
    ( ! [X0] :
        ( ~ big_p(f6(c2))
        | ~ big_p(X0)
        | ~ big_r(c2,X0) )
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(resolution,[],[f330,f159]) ).

fof(f159,plain,
    ( ! [X2,X1] :
        ( big_r(f5(X1),f6(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f330,plain,
    ( ! [X0] :
        ( ~ big_r(f5(c2),X0)
        | ~ big_p(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f471,plain,
    ( spl0_17
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f470,f444,f171,f131,f222]) ).

fof(f222,plain,
    ( spl0_17
  <=> big_p(c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

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

fof(f171,plain,
    ( spl0_10
  <=> ! [X0] :
        ( big_r(f1(X0),f2(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f470,plain,
    ( big_p(c4)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f460,f132]) ).

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

fof(f460,plain,
    ( ~ big_p(f2(c4))
    | big_p(c4)
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(resolution,[],[f445,f172]) ).

fof(f172,plain,
    ( ! [X0] :
        ( big_r(f1(X0),f2(X0))
        | big_p(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f446,plain,
    ( spl0_37
    | spl0_17
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f411,f218,f162,f222,f444]) ).

fof(f162,plain,
    ( spl0_9
  <=> ! [X0] :
        ( big_r(X0,f1(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f411,plain,
    ( ! [X0] :
        ( big_p(c4)
        | ~ big_p(X0)
        | ~ big_r(f1(c4),X0) )
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(resolution,[],[f163,f219]) ).

fof(f163,plain,
    ( ! [X0] :
        ( big_r(X0,f1(X0))
        | big_p(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f442,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | spl0_18
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | spl0_18
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f440,f236]) ).

fof(f236,plain,
    ( ~ big_p(c2)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_18
  <=> big_p(c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f440,plain,
    ( big_p(c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | spl0_18
    | ~ spl0_21 ),
    inference(resolution,[],[f438,f132]) ).

fof(f438,plain,
    ( ~ big_p(f2(c2))
    | ~ spl0_9
    | ~ spl0_10
    | spl0_18
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f436,f236]) ).

fof(f436,plain,
    ( big_p(c2)
    | ~ big_p(f2(c2))
    | ~ spl0_9
    | ~ spl0_10
    | spl0_18
    | ~ spl0_21 ),
    inference(resolution,[],[f172,f421]) ).

fof(f421,plain,
    ( ! [X0] :
        ( ~ big_r(f1(c2),X0)
        | ~ big_p(X0) )
    | ~ spl0_9
    | spl0_18
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f412,f236]) ).

fof(f412,plain,
    ( ! [X0] :
        ( big_p(c2)
        | ~ big_p(X0)
        | ~ big_r(f1(c2),X0) )
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(resolution,[],[f163,f271]) ).

fof(f403,plain,
    ( ~ spl0_19
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f393,f326,f254,f238]) ).

fof(f393,plain,
    ( ~ big_p(c1)
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(resolution,[],[f256,f327]) ).

fof(f327,plain,
    ( ! [X1] :
        ( ~ big_r(c2,X1)
        | ~ big_p(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f402,plain,
    ( spl0_35
    | ~ spl0_19
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f394,f254,f150,f238,f399]) ).

fof(f150,plain,
    ( spl0_6
  <=> ! [X2,X1] :
        ( big_p(f6(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f394,plain,
    ( ~ big_p(c1)
    | big_p(f6(c2))
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(resolution,[],[f256,f151]) ).

fof(f151,plain,
    ( ! [X2,X1] :
        ( ~ big_r(X1,X2)
        | ~ big_p(X2)
        | big_p(f6(X1)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f382,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | spl0_18
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | spl0_18
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f380,f236]) ).

fof(f380,plain,
    ( big_p(c2)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | spl0_18
    | ~ spl0_21 ),
    inference(resolution,[],[f378,f139]) ).

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

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

fof(f378,plain,
    ( ~ big_p(f4(c2))
    | ~ spl0_4
    | ~ spl0_5
    | spl0_18
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f375,f236]) ).

fof(f375,plain,
    ( ~ big_p(f4(c2))
    | big_p(c2)
    | ~ spl0_4
    | ~ spl0_5
    | spl0_18
    | ~ spl0_21 ),
    inference(resolution,[],[f374,f147]) ).

fof(f147,plain,
    ( ! [X1] :
        ( big_r(f3(X1),f4(X1))
        | big_p(X1) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl0_5
  <=> ! [X1] :
        ( big_r(f3(X1),f4(X1))
        | big_p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f374,plain,
    ( ! [X0] :
        ( ~ big_r(f3(c2),X0)
        | ~ big_p(X0) )
    | ~ spl0_4
    | spl0_18
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f372,f236]) ).

fof(f372,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(f3(c2),X0)
        | big_p(c2) )
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(resolution,[],[f271,f143]) ).

fof(f143,plain,
    ( ! [X1] :
        ( big_r(X1,f3(X1))
        | big_p(X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl0_4
  <=> ! [X1] :
        ( big_r(X1,f3(X1))
        | big_p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f358,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f353,f319,f213,f208]) ).

fof(f208,plain,
    ( spl0_14
  <=> big_p(c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f213,plain,
    ( spl0_15
  <=> big_r(c4,c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f353,plain,
    ( ~ big_p(c3)
    | ~ spl0_15
    | ~ spl0_26 ),
    inference(resolution,[],[f320,f215]) ).

fof(f215,plain,
    ( big_r(c4,c3)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f320,plain,
    ( ! [X0] :
        ( ~ big_r(c4,X0)
        | ~ big_p(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f351,plain,
    ( spl0_26
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f350,f316,f213,f208,f158,f150,f319]) ).

fof(f316,plain,
    ( spl0_25
  <=> ! [X1] :
        ( ~ big_p(X1)
        | ~ big_r(f5(c4),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f350,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c4,X0) )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f348,f310]) ).

fof(f310,plain,
    ( big_p(f6(c4))
    | ~ spl0_6
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f309,f210]) ).

fof(f210,plain,
    ( big_p(c3)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f309,plain,
    ( ~ big_p(c3)
    | big_p(f6(c4))
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f215,f151]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(c4,X0)
        | ~ big_p(f6(c4)) )
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(resolution,[],[f159,f317]) ).

fof(f317,plain,
    ( ! [X1] :
        ( ~ big_r(f5(c4),X1)
        | ~ big_p(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f331,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f323,f270,f154,f329,f326]) ).

fof(f154,plain,
    ( spl0_7
  <=> ! [X2,X1] :
        ( big_r(X1,f5(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f323,plain,
    ( ! [X0,X1] :
        ( ~ big_p(X0)
        | ~ big_r(f5(c2),X0)
        | ~ big_p(X1)
        | ~ big_r(c2,X1) )
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(resolution,[],[f271,f155]) ).

fof(f155,plain,
    ( ! [X2,X1] :
        ( big_r(X1,f5(X1))
        | ~ big_p(X2)
        | ~ big_r(X1,X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f321,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f313,f218,f154,f319,f316]) ).

fof(f313,plain,
    ( ! [X0,X1] :
        ( ~ big_p(X0)
        | ~ big_r(c4,X0)
        | ~ big_p(X1)
        | ~ big_r(f5(c4),X1) )
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(resolution,[],[f155,f219]) ).

fof(f303,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_16
    | spl0_17 ),
    inference(subsumption_resolution,[],[f301,f224]) ).

fof(f224,plain,
    ( ~ big_p(c4)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f301,plain,
    ( big_p(c4)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_16
    | spl0_17 ),
    inference(resolution,[],[f291,f139]) ).

fof(f291,plain,
    ( ~ big_p(f4(c4))
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_16
    | spl0_17 ),
    inference(subsumption_resolution,[],[f289,f224]) ).

fof(f289,plain,
    ( ~ big_p(f4(c4))
    | big_p(c4)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_16
    | spl0_17 ),
    inference(resolution,[],[f288,f147]) ).

fof(f288,plain,
    ( ! [X0] :
        ( ~ big_r(f3(c4),X0)
        | ~ big_p(X0) )
    | ~ spl0_4
    | ~ spl0_16
    | spl0_17 ),
    inference(subsumption_resolution,[],[f287,f224]) ).

fof(f287,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_r(f3(c4),X0)
        | big_p(c4) )
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(resolution,[],[f219,f143]) ).

fof(f283,plain,
    ( spl0_21
    | spl0_16
    | spl0_16 ),
    inference(avatar_split_clause,[],[f84,f218,f218,f270]) ).

fof(f84,axiom,
    ! [X8,X6,X9,X7,X4,X5] :
      ( ~ big_r(X5,X4)
      | ~ big_r(c4,X5)
      | ~ big_p(X4)
      | ~ big_r(X7,X6)
      | ~ big_r(c4,X7)
      | ~ big_p(X6)
      | ~ big_r(X9,X8)
      | ~ big_r(c2,X9)
      | ~ big_p(X8) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_84) ).

fof(f278,plain,
    ( spl0_21
    | ~ spl0_17
    | spl0_15 ),
    inference(avatar_split_clause,[],[f79,f213,f222,f270]) ).

fof(f79,axiom,
    ! [X8,X9] :
      ( big_r(c4,c3)
      | ~ big_p(c4)
      | ~ big_r(X9,X8)
      | ~ big_r(c2,X9)
      | ~ big_p(X8) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_79) ).

fof(f277,plain,
    ( spl0_21
    | ~ spl0_17
    | spl0_14 ),
    inference(avatar_split_clause,[],[f78,f208,f222,f270]) ).

fof(f78,axiom,
    ! [X8,X9] :
      ( big_p(c3)
      | ~ big_p(c4)
      | ~ big_r(X9,X8)
      | ~ big_r(c2,X9)
      | ~ big_p(X8) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_78) ).

fof(f268,plain,
    ( ~ spl0_18
    | spl0_20
    | spl0_16
    | spl0_16 ),
    inference(avatar_split_clause,[],[f72,f218,f218,f254,f234]) ).

fof(f72,axiom,
    ! [X6,X7,X4,X5] :
      ( ~ big_r(X5,X4)
      | ~ big_r(c4,X5)
      | ~ big_p(X4)
      | ~ big_r(X7,X6)
      | ~ big_r(c4,X7)
      | ~ big_p(X6)
      | big_r(c2,c1)
      | ~ big_p(c2) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_72) ).

fof(f263,plain,
    ( ~ spl0_18
    | spl0_20
    | ~ spl0_17
    | spl0_15 ),
    inference(avatar_split_clause,[],[f67,f213,f222,f254,f234]) ).

fof(f67,axiom,
    ( big_r(c4,c3)
    | ~ big_p(c4)
    | big_r(c2,c1)
    | ~ big_p(c2) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_67) ).

fof(f262,plain,
    ( ~ spl0_18
    | spl0_20
    | ~ spl0_17
    | spl0_14 ),
    inference(avatar_split_clause,[],[f66,f208,f222,f254,f234]) ).

fof(f66,axiom,
    ( big_p(c3)
    | ~ big_p(c4)
    | big_r(c2,c1)
    | ~ big_p(c2) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_66) ).

fof(f252,plain,
    ( ~ spl0_18
    | spl0_19
    | spl0_16
    | spl0_16 ),
    inference(avatar_split_clause,[],[f60,f218,f218,f238,f234]) ).

fof(f60,axiom,
    ! [X6,X7,X4,X5] :
      ( ~ big_r(X5,X4)
      | ~ big_r(c4,X5)
      | ~ big_p(X4)
      | ~ big_r(X7,X6)
      | ~ big_r(c4,X7)
      | ~ big_p(X6)
      | big_p(c1)
      | ~ big_p(c2) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_60) ).

fof(f247,plain,
    ( ~ spl0_18
    | spl0_19
    | ~ spl0_17
    | spl0_15 ),
    inference(avatar_split_clause,[],[f55,f213,f222,f238,f234]) ).

fof(f55,axiom,
    ( big_r(c4,c3)
    | ~ big_p(c4)
    | big_p(c1)
    | ~ big_p(c2) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_55) ).

fof(f246,plain,
    ( ~ spl0_18
    | spl0_19
    | ~ spl0_17
    | spl0_14 ),
    inference(avatar_split_clause,[],[f54,f208,f222,f238,f234]) ).

fof(f54,axiom,
    ( big_p(c3)
    | ~ big_p(c4)
    | big_p(c1)
    | ~ big_p(c2) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_54) ).

fof(f206,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f93,f134]) ).

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

fof(f93,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/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_37) ).

fof(f205,plain,
    ( spl0_13
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f94,f158,f134,f198]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(f5(X1),f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f36,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(f5(X1),f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_36) ).

fof(f204,plain,
    ( spl0_13
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f95,f154,f134,f198]) ).

fof(f95,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(X1,f5(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f35,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(X1,f5(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_35) ).

fof(f203,plain,
    ( spl0_13
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f96,f150,f134,f198]) ).

fof(f96,plain,
    ! [X2,X3,X0,X1] :
      ( big_p(f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f34,axiom,
    ! [X2,X3,X0,X1] :
      ( big_p(f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_34) ).

fof(f196,plain,
    ( spl0_12
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f100,f158,f134,f189]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(f5(X1),f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f30,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(f5(X1),f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_30) ).

fof(f195,plain,
    ( spl0_12
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f101,f154,f134,f189]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(X1,f5(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(X1,f5(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_29) ).

fof(f194,plain,
    ( spl0_12
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f102,f150,f134,f189]) ).

fof(f102,plain,
    ! [X2,X3,X0,X1] :
      ( big_p(f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f28,axiom,
    ! [X2,X3,X0,X1] :
      ( big_p(f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_28) ).

fof(f187,plain,
    ( spl0_11
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f106,f158,f134,f180]) ).

fof(f106,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(f5(X1),f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_p(f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f24,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(f5(X1),f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_p(f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_24) ).

fof(f186,plain,
    ( spl0_11
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f107,f154,f134,f180]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1] :
      ( big_r(X1,f5(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_p(f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f23,axiom,
    ! [X2,X3,X0,X1] :
      ( big_r(X1,f5(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_p(f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_23) ).

fof(f185,plain,
    ( spl0_11
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f108,f150,f134,f180]) ).

fof(f108,plain,
    ! [X2,X3,X0,X1] :
      ( big_p(f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_p(f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3) ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f22,axiom,
    ! [X2,X3,X0,X1] :
      ( big_p(f6(X1))
      | ~ big_r(X1,X2)
      | ~ big_p(X2)
      | ~ big_p(a)
      | big_p(f2(X0))
      | ~ big_r(X0,X3)
      | ~ big_p(X3)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_22) ).

fof(f175,plain,
    ( spl0_10
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f115,f146,f134,f171]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( big_r(f3(X1),f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( big_r(f3(X1),f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_15) ).

fof(f174,plain,
    ( spl0_10
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f116,f142,f134,f171]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( big_r(X1,f3(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( big_r(X1,f3(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_14) ).

fof(f173,plain,
    ( spl0_10
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f117,f138,f134,f171]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( big_p(f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( big_p(f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(f1(X0),f2(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_13) ).

fof(f166,plain,
    ( spl0_9
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f121,f146,f134,f162]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( big_r(f3(X1),f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( big_r(f3(X1),f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_9) ).

fof(f165,plain,
    ( spl0_9
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f122,f142,f134,f162]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( big_r(X1,f3(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( big_r(X1,f3(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_8) ).

fof(f164,plain,
    ( spl0_9
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f123,f138,f134,f162]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( big_p(f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( big_p(f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_r(X0,f1(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_7) ).

fof(f148,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f127,f146,f134,f131]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( big_r(f3(X1),f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | 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(a)
      | big_p(f2(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_3) ).

fof(f144,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f128,f142,f134,f131]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( big_r(X1,f3(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_p(f2(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( big_r(X1,f3(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_p(f2(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_2) ).

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

fof(f129,plain,
    ! [X0,X1] :
      ( big_p(f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_p(f2(X0))
      | big_p(X0) ),
    inference(duplicate_literal_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( big_p(f4(X1))
      | big_p(X1)
      | ~ big_p(a)
      | big_p(f2(X0))
      | big_p(X0)
      | ~ big_p(a) ),
    file('/export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197',clause_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n017.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
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 16:54:49 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.lzdcvi9VOE/Vampire---4.8_30197
% 0.57/0.75  % (30458)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75  % (30452)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (30453)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75  % (30455)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (30456)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (30457)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.76  % (30459)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.76  % (30454)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (30457)First to succeed.
% 0.61/0.76  % (30453)Also succeeded, but the first one will report.
% 0.61/0.77  % (30454)Also succeeded, but the first one will report.
% 0.61/0.77  % (30457)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (30457)------------------------------
% 0.61/0.77  % (30457)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (30457)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (30457)Memory used [KB]: 1268
% 0.61/0.77  % (30457)Time elapsed: 0.011 s
% 0.61/0.77  % (30457)Instructions burned: 17 (million)
% 0.61/0.77  % (30457)------------------------------
% 0.61/0.77  % (30457)------------------------------
% 0.61/0.77  % (30448)Success in time 0.385 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------