TSTP Solution File: ALG170+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 15:43:21 EDT 2022

% Result   : Theorem 1.85s 0.62s
% Output   : Refutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  126
% Syntax   : Number of formulae    :  587 ( 113 unt;   0 def)
%            Number of atoms       : 2042 (1298 equ)
%            Maximal formula atoms :  250 (   3 avg)
%            Number of connectives : 2365 ( 910   ~; 949   |; 404   &)
%                                         ( 102 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  112 ( 110 usr; 111 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  14 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2840,plain,
    $false,
    inference(avatar_sat_refutation,[],[f330,f544,f610,f662,f688,f696,f731,f745,f758,f764,f850,f862,f868,f918,f927,f959,f960,f968,f990,f1004,f1028,f1029,f1040,f1043,f1104,f1105,f1129,f1145,f1146,f1147,f1195,f1201,f1230,f1233,f1241,f1249,f1300,f1337,f1365,f1368,f1369,f1370,f1382,f1385,f1387,f1388,f1418,f1427,f1448,f1450,f1451,f1465,f1521,f1532,f1572,f1583,f1603,f1643,f1650,f1661,f1675,f1718,f1753,f1772,f1783,f1803,f1805,f1813,f1850,f1873,f1875,f1882,f1889,f1934,f1940,f1949,f1966,f1976,f1984,f1989,f1994,f1997,f2011,f2018,f2068,f2163,f2191,f2207,f2263,f2304,f2362,f2367,f2370,f2424,f2426,f2435,f2442,f2448,f2504,f2518,f2527,f2550,f2581,f2603,f2626,f2675,f2679,f2689,f2692,f2715,f2725,f2732,f2734,f2795]) ).

fof(f2795,plain,
    ( ~ spl17_51
    | spl17_99
    | ~ spl17_137 ),
    inference(avatar_contradiction_clause,[],[f2794]) ).

fof(f2794,plain,
    ( $false
    | ~ spl17_51
    | spl17_99
    | ~ spl17_137 ),
    inference(subsumption_resolution,[],[f2793,f772]) ).

fof(f772,plain,
    ( e0 != op(e0,e0)
    | spl17_99 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl17_99
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_99])]) ).

fof(f2793,plain,
    ( e0 = op(e0,e0)
    | ~ spl17_51
    | ~ spl17_137 ),
    inference(backward_demodulation,[],[f2531,f531]) ).

fof(f531,plain,
    ( e0 = op(e0,e2)
    | ~ spl17_51 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f529,plain,
    ( spl17_51
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_51])]) ).

fof(f2531,plain,
    ( e0 = op(e0,op(e0,e2))
    | ~ spl17_137 ),
    inference(forward_demodulation,[],[f224,f994]) ).

fof(f994,plain,
    ( e0 = op(e2,e0)
    | ~ spl17_137 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl17_137
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_137])]) ).

fof(f224,plain,
    e0 = op(op(e2,e0),op(e0,e2)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( e4 = op(op(e3,e4),op(e4,e3))
    & e0 = op(op(e3,e0),op(e0,e3))
    & e0 = op(op(e2,e0),op(e0,e2))
    & e3 = op(op(e1,e3),op(e3,e1))
    & e3 = op(op(e0,e3),op(e3,e0))
    & e4 = op(op(e0,e4),op(e4,e0))
    & e2 = op(op(e2,e2),op(e2,e2))
    & e1 = op(op(e3,e1),op(e1,e3))
    & e2 = op(op(e4,e2),op(e2,e4))
    & e0 = op(op(e1,e0),op(e0,e1))
    & e4 = op(op(e2,e4),op(e4,e2))
    & e3 = op(op(e3,e3),op(e3,e3))
    & e2 = op(op(e0,e2),op(e2,e0))
    & e1 = op(op(e2,e1),op(e1,e2))
    & e0 = op(op(e0,e0),op(e0,e0))
    & e4 = op(op(e4,e4),op(e4,e4))
    & e2 = op(op(e3,e2),op(e2,e3))
    & e4 = op(op(e1,e4),op(e4,e1))
    & e3 = op(op(e2,e3),op(e3,e2))
    & e1 = op(op(e0,e1),op(e1,e0))
    & e2 = op(op(e1,e2),op(e2,e1))
    & e3 = op(op(e4,e3),op(e3,e4))
    & e1 = op(op(e4,e1),op(e1,e4))
    & e1 = op(op(e1,e1),op(e1,e1))
    & e0 = op(op(e4,e0),op(e0,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f2734,plain,
    ( ~ spl17_117
    | ~ spl17_121
    | spl17_142 ),
    inference(avatar_contradiction_clause,[],[f2733]) ).

fof(f2733,plain,
    ( $false
    | ~ spl17_117
    | ~ spl17_121
    | spl17_142 ),
    inference(subsumption_resolution,[],[f2545,f1022]) ).

fof(f1022,plain,
    ( op(e0,e0) != e1
    | spl17_142 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1021,plain,
    ( spl17_142
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_142])]) ).

fof(f2545,plain,
    ( op(e0,e0) = e1
    | ~ spl17_117
    | ~ spl17_121 ),
    inference(forward_demodulation,[],[f1363,f877]) ).

fof(f877,plain,
    ( e0 = sF10
    | ~ spl17_117 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f875,plain,
    ( spl17_117
  <=> e0 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_117])]) ).

fof(f1363,plain,
    ( e1 = op(e0,sF10)
    | ~ spl17_121 ),
    inference(backward_demodulation,[],[f1176,f900]) ).

fof(f900,plain,
    ( e0 = op(e4,e1)
    | ~ spl17_121 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl17_121
  <=> e0 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_121])]) ).

fof(f1176,plain,
    e1 = op(op(e4,e1),sF10),
    inference(forward_demodulation,[],[f204,f295]) ).

fof(f295,plain,
    op(e1,e4) = sF10,
    introduced(function_definition,[]) ).

fof(f204,plain,
    e1 = op(op(e4,e1),op(e1,e4)),
    inference(cnf_transformation,[],[f3]) ).

fof(f2732,plain,
    ( ~ spl17_76
    | ~ spl17_144 ),
    inference(avatar_contradiction_clause,[],[f2731]) ).

fof(f2731,plain,
    ( $false
    | ~ spl17_76
    | ~ spl17_144 ),
    inference(subsumption_resolution,[],[f2730,f238]) ).

fof(f238,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e1 != e2
    & e0 != e1
    & e0 != e3
    & e0 != e4
    & e2 != e3
    & e2 != e4
    & e1 != e3
    & e0 != e2
    & e1 != e4
    & e3 != e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f2730,plain,
    ( e0 = e3
    | ~ spl17_76
    | ~ spl17_144 ),
    inference(forward_demodulation,[],[f646,f1053]) ).

fof(f1053,plain,
    ( e0 = sF15
    | ~ spl17_144 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1051,plain,
    ( spl17_144
  <=> e0 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_144])]) ).

fof(f646,plain,
    ( e3 = sF15
    | ~ spl17_76 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl17_76
  <=> e3 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_76])]) ).

fof(f2725,plain,
    ( spl17_51
    | ~ spl17_11
    | ~ spl17_164 ),
    inference(avatar_split_clause,[],[f2722,f1238,f353,f529]) ).

fof(f353,plain,
    ( spl17_11
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).

fof(f1238,plain,
    ( spl17_164
  <=> e0 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_164])]) ).

fof(f2722,plain,
    ( e0 = op(e0,e2)
    | ~ spl17_11
    | ~ spl17_164 ),
    inference(backward_demodulation,[],[f1592,f1239]) ).

fof(f1239,plain,
    ( e0 = sF9
    | ~ spl17_164 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f1592,plain,
    ( e0 = op(sF9,e2)
    | ~ spl17_11 ),
    inference(forward_demodulation,[],[f1037,f355]) ).

fof(f355,plain,
    ( e2 = op(e0,e1)
    | ~ spl17_11 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f1037,plain,
    e0 = op(sF9,op(e0,e1)),
    inference(backward_demodulation,[],[f217,f293]) ).

fof(f293,plain,
    op(e1,e0) = sF9,
    introduced(function_definition,[]) ).

fof(f217,plain,
    e0 = op(op(e1,e0),op(e0,e1)),
    inference(cnf_transformation,[],[f3]) ).

fof(f2715,plain,
    ( ~ spl17_85
    | ~ spl17_154 ),
    inference(avatar_split_clause,[],[f2714,f1119,f693]) ).

fof(f693,plain,
    ( spl17_85
  <=> e2 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).

fof(f1119,plain,
    ( spl17_154
  <=> e2 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_154])]) ).

fof(f2714,plain,
    ( e2 != sF8
    | ~ spl17_154 ),
    inference(forward_demodulation,[],[f1168,f1121]) ).

fof(f1121,plain,
    ( e2 = sF12
    | ~ spl17_154 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f1168,plain,
    sF12 != sF8,
    inference(forward_demodulation,[],[f1167,f291]) ).

fof(f291,plain,
    op(e1,e2) = sF8,
    introduced(function_definition,[]) ).

fof(f1167,plain,
    op(e1,e2) != sF12,
    inference(forward_demodulation,[],[f102,f299]) ).

fof(f299,plain,
    op(e1,e3) = sF12,
    introduced(function_definition,[]) ).

fof(f102,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( op(e4,e0) != op(e4,e1)
    & op(e2,e3) != op(e4,e3)
    & op(e2,e3) != op(e2,e4)
    & op(e1,e1) != op(e2,e1)
    & op(e4,e0) != op(e4,e2)
    & op(e2,e4) != op(e3,e4)
    & op(e1,e3) != op(e3,e3)
    & op(e0,e4) != op(e2,e4)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e4) != op(e3,e4)
    & op(e3,e3) != op(e4,e3)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e1) != op(e2,e1)
    & op(e2,e2) != op(e4,e2)
    & op(e1,e0) != op(e2,e0)
    & op(e4,e2) != op(e4,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e3,e2) != op(e3,e4)
    & op(e1,e3) != op(e1,e4)
    & op(e1,e1) != op(e4,e1)
    & op(e1,e2) != op(e3,e2)
    & op(e4,e0) != op(e4,e3)
    & op(e2,e2) != op(e2,e4)
    & op(e3,e0) != op(e3,e4)
    & op(e2,e0) != op(e2,e3)
    & op(e0,e3) != op(e0,e4)
    & op(e3,e0) != op(e3,e3)
    & op(e4,e1) != op(e4,e2)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e0) != op(e1,e0)
    & op(e3,e1) != op(e3,e4)
    & op(e0,e4) != op(e1,e4)
    & op(e1,e1) != op(e1,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e3,e2) != op(e3,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e1) != op(e0,e2)
    & op(e1,e3) != op(e4,e3)
    & op(e0,e2) != op(e3,e2)
    & op(e4,e1) != op(e4,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e4,e3) != op(e4,e4)
    & op(e0,e2) != op(e4,e2)
    & op(e2,e1) != op(e2,e4)
    & op(e1,e2) != op(e2,e2)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e2) != op(e4,e2)
    & op(e1,e1) != op(e3,e1)
    & op(e0,e3) != op(e3,e3)
    & op(e3,e0) != op(e4,e0)
    & op(e4,e0) != op(e4,e4)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e4,e0)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e4) != op(e2,e4)
    & op(e0,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e2,e4) != op(e4,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e2)
    & op(e4,e1) != op(e4,e4)
    & op(e3,e0) != op(e3,e2)
    & op(e4,e2) != op(e4,e4)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e1) != op(e3,e1)
    & op(e3,e3) != op(e3,e4)
    & op(e2,e1) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e0) != op(e2,e4)
    & op(e3,e2) != op(e4,e2)
    & op(e3,e4) != op(e4,e4)
    & op(e3,e1) != op(e4,e1)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e2) != op(e1,e4)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e4) != op(e3,e4)
    & op(e1,e1) != op(e1,e4)
    & op(e0,e3) != op(e1,e3)
    & op(e1,e0) != op(e3,e0)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e1,e4) != op(e4,e4)
    & op(e1,e0) != op(e1,e1)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e1,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f2692,plain,
    ( ~ spl17_71
    | ~ spl17_69 ),
    inference(avatar_split_clause,[],[f2512,f612,f620]) ).

fof(f620,plain,
    ( spl17_71
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_71])]) ).

fof(f612,plain,
    ( spl17_69
  <=> e4 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_69])]) ).

fof(f2512,plain,
    ( e4 != op(e3,e2)
    | ~ spl17_69 ),
    inference(forward_demodulation,[],[f126,f614]) ).

fof(f614,plain,
    ( e4 = op(e3,e0)
    | ~ spl17_69 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f126,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2689,plain,
    ( ~ spl17_27
    | ~ spl17_90 ),
    inference(avatar_split_clause,[],[f2687,f724,f422]) ).

fof(f422,plain,
    ( spl17_27
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).

fof(f724,plain,
    ( spl17_90
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_90])]) ).

fof(f2687,plain,
    ( e3 != op(e3,e1)
    | ~ spl17_90 ),
    inference(backward_demodulation,[],[f143,f726]) ).

fof(f726,plain,
    ( e3 = op(e2,e1)
    | ~ spl17_90 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f143,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2679,plain,
    ( ~ spl17_132
    | ~ spl17_137 ),
    inference(avatar_contradiction_clause,[],[f2678]) ).

fof(f2678,plain,
    ( $false
    | ~ spl17_132
    | ~ spl17_137 ),
    inference(subsumption_resolution,[],[f2677,f239]) ).

fof(f239,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f2677,plain,
    ( e0 = e1
    | ~ spl17_132
    | ~ spl17_137 ),
    inference(forward_demodulation,[],[f958,f994]) ).

fof(f958,plain,
    ( e1 = op(e2,e0)
    | ~ spl17_132 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl17_132
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_132])]) ).

fof(f2675,plain,
    ( ~ spl17_70
    | ~ spl17_83 ),
    inference(avatar_split_clause,[],[f2674,f681,f616]) ).

fof(f616,plain,
    ( spl17_70
  <=> e4 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).

fof(f681,plain,
    ( spl17_83
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).

fof(f2674,plain,
    ( e4 != op(e3,e4)
    | ~ spl17_83 ),
    inference(forward_demodulation,[],[f112,f682]) ).

fof(f682,plain,
    ( e4 = op(e0,e4)
    | ~ spl17_83 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f112,plain,
    op(e0,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2626,plain,
    ( ~ spl17_54
    | spl17_98
    | ~ spl17_137 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2625,plain,
    ( $false
    | ~ spl17_54
    | spl17_98
    | ~ spl17_137 ),
    inference(subsumption_resolution,[],[f2624,f768]) ).

fof(f768,plain,
    ( e0 != op(e0,e1)
    | spl17_98 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f767,plain,
    ( spl17_98
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_98])]) ).

fof(f2624,plain,
    ( e0 = op(e0,e1)
    | ~ spl17_54
    | ~ spl17_137 ),
    inference(backward_demodulation,[],[f2531,f543]) ).

fof(f543,plain,
    ( e1 = op(e0,e2)
    | ~ spl17_54 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl17_54
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_54])]) ).

fof(f2603,plain,
    ( ~ spl17_50
    | ~ spl17_93 ),
    inference(avatar_split_clause,[],[f2598,f738,f525]) ).

fof(f525,plain,
    ( spl17_50
  <=> e4 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_50])]) ).

fof(f738,plain,
    ( spl17_93
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_93])]) ).

fof(f2598,plain,
    ( e4 != op(e0,e2)
    | ~ spl17_93 ),
    inference(backward_demodulation,[],[f154,f740]) ).

fof(f740,plain,
    ( e4 = op(e4,e2)
    | ~ spl17_93 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f154,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2581,plain,
    ~ spl17_92,
    inference(avatar_contradiction_clause,[],[f2580]) ).

fof(f2580,plain,
    ( $false
    | ~ spl17_92 ),
    inference(subsumption_resolution,[],[f2579,f240]) ).

fof(f240,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2579,plain,
    ( e1 = e2
    | ~ spl17_92 ),
    inference(forward_demodulation,[],[f2578,f229]) ).

fof(f229,plain,
    e1 = op(e4,e4),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
    & e1 = op(e4,e4)
    & e2 = op(op(e4,op(e4,e4)),op(e4,e4))
    & e0 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f2578,plain,
    ( e2 = op(e4,e4)
    | ~ spl17_92 ),
    inference(forward_demodulation,[],[f220,f736]) ).

fof(f736,plain,
    ( e4 = op(e2,e2)
    | ~ spl17_92 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f734,plain,
    ( spl17_92
  <=> e4 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_92])]) ).

fof(f220,plain,
    e2 = op(op(e2,e2),op(e2,e2)),
    inference(cnf_transformation,[],[f3]) ).

fof(f2550,plain,
    ( ~ spl17_93
    | ~ spl17_113 ),
    inference(avatar_split_clause,[],[f2549,f847,f738]) ).

fof(f847,plain,
    ( spl17_113
  <=> e4 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_113])]) ).

fof(f2549,plain,
    ( e4 != op(e4,e2)
    | ~ spl17_113 ),
    inference(forward_demodulation,[],[f1170,f848]) ).

fof(f848,plain,
    ( e4 = sF13
    | ~ spl17_113 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f1170,plain,
    op(e4,e2) != sF13,
    inference(backward_demodulation,[],[f185,f301]) ).

fof(f301,plain,
    op(e4,e3) = sF13,
    introduced(function_definition,[]) ).

fof(f185,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2527,plain,
    ( ~ spl17_134
    | ~ spl17_160 ),
    inference(avatar_contradiction_clause,[],[f2526]) ).

fof(f2526,plain,
    ( $false
    | ~ spl17_134
    | ~ spl17_160 ),
    inference(subsumption_resolution,[],[f2525,f231]) ).

fof(f231,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2525,plain,
    ( e3 = e4
    | ~ spl17_134
    | ~ spl17_160 ),
    inference(backward_demodulation,[],[f973,f1191]) ).

fof(f1191,plain,
    ( e3 = sF11
    | ~ spl17_160 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f1189,plain,
    ( spl17_160
  <=> e3 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_160])]) ).

fof(f973,plain,
    ( e4 = sF11
    | ~ spl17_134 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f971,plain,
    ( spl17_134
  <=> e4 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_134])]) ).

fof(f2518,plain,
    ( ~ spl17_61
    | ~ spl17_99 ),
    inference(avatar_contradiction_clause,[],[f2517]) ).

fof(f2517,plain,
    ( $false
    | ~ spl17_61
    | ~ spl17_99 ),
    inference(subsumption_resolution,[],[f2515,f238]) ).

fof(f2515,plain,
    ( e0 = e3
    | ~ spl17_61
    | ~ spl17_99 ),
    inference(backward_demodulation,[],[f573,f773]) ).

fof(f773,plain,
    ( e0 = op(e0,e0)
    | ~ spl17_99 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f573,plain,
    ( op(e0,e0) = e3
    | ~ spl17_61 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl17_61
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_61])]) ).

fof(f2504,plain,
    ( ~ spl17_115
    | ~ spl17_144 ),
    inference(avatar_split_clause,[],[f1897,f1051,f859]) ).

fof(f859,plain,
    ( spl17_115
  <=> e0 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_115])]) ).

fof(f1897,plain,
    ( e0 != op(e3,e4)
    | ~ spl17_144 ),
    inference(forward_demodulation,[],[f1045,f1053]) ).

fof(f1045,plain,
    op(e3,e4) != sF15,
    inference(backward_demodulation,[],[f122,f305]) ).

fof(f305,plain,
    op(e3,e3) = sF15,
    introduced(function_definition,[]) ).

fof(f122,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2448,plain,
    ( ~ spl17_65
    | ~ spl17_75 ),
    inference(avatar_contradiction_clause,[],[f2447]) ).

fof(f2447,plain,
    ( $false
    | ~ spl17_65
    | ~ spl17_75 ),
    inference(subsumption_resolution,[],[f2446,f233]) ).

fof(f233,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2446,plain,
    ( e0 = e2
    | ~ spl17_65
    | ~ spl17_75 ),
    inference(forward_demodulation,[],[f2445,f595]) ).

fof(f595,plain,
    ( e0 = op(e3,e3)
    | ~ spl17_65 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f593,plain,
    ( spl17_65
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_65])]) ).

fof(f2445,plain,
    ( e2 = op(e3,e3)
    | ~ spl17_75 ),
    inference(forward_demodulation,[],[f220,f642]) ).

fof(f642,plain,
    ( e3 = op(e2,e2)
    | ~ spl17_75 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl17_75
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_75])]) ).

fof(f2442,plain,
    ( spl17_113
    | ~ spl17_77 ),
    inference(avatar_split_clause,[],[f2441,f651,f847]) ).

fof(f651,plain,
    ( spl17_77
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_77])]) ).

fof(f2441,plain,
    ( e4 = sF13
    | ~ spl17_77 ),
    inference(forward_demodulation,[],[f301,f653]) ).

fof(f653,plain,
    ( e4 = op(e4,e3)
    | ~ spl17_77 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f2435,plain,
    ( spl17_44
    | ~ spl17_1 ),
    inference(avatar_split_clause,[],[f2434,f311,f498]) ).

fof(f498,plain,
    ( spl17_44
  <=> e1 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).

fof(f311,plain,
    ( spl17_1
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).

fof(f2434,plain,
    ( e1 = sF12
    | ~ spl17_1 ),
    inference(forward_demodulation,[],[f299,f313]) ).

fof(f313,plain,
    ( e1 = op(e1,e3)
    | ~ spl17_1 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f2426,plain,
    ( spl17_54
    | ~ spl17_121
    | ~ spl17_146 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

fof(f2425,plain,
    ( $false
    | spl17_54
    | ~ spl17_121
    | ~ spl17_146 ),
    inference(subsumption_resolution,[],[f2419,f542]) ).

fof(f542,plain,
    ( e1 != op(e0,e2)
    | spl17_54 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f2419,plain,
    ( e1 = op(e0,e2)
    | ~ spl17_121
    | ~ spl17_146 ),
    inference(backward_demodulation,[],[f1363,f1068]) ).

fof(f1068,plain,
    ( e2 = sF10
    | ~ spl17_146 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f1066,plain,
    ( spl17_146
  <=> e2 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_146])]) ).

fof(f2424,plain,
    ( ~ spl17_121
    | ~ spl17_137
    | ~ spl17_146 ),
    inference(avatar_contradiction_clause,[],[f2423]) ).

fof(f2423,plain,
    ( $false
    | ~ spl17_121
    | ~ spl17_137
    | ~ spl17_146 ),
    inference(subsumption_resolution,[],[f2422,f237]) ).

fof(f237,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2422,plain,
    ( e0 = e4
    | ~ spl17_121
    | ~ spl17_137
    | ~ spl17_146 ),
    inference(forward_demodulation,[],[f2418,f994]) ).

fof(f2418,plain,
    ( e4 = op(e2,e0)
    | ~ spl17_121
    | ~ spl17_146 ),
    inference(backward_demodulation,[],[f1361,f1068]) ).

fof(f1361,plain,
    ( e4 = op(sF10,e0)
    | ~ spl17_121 ),
    inference(backward_demodulation,[],[f1061,f900]) ).

fof(f1061,plain,
    e4 = op(sF10,op(e4,e1)),
    inference(forward_demodulation,[],[f209,f295]) ).

fof(f209,plain,
    e4 = op(op(e1,e4),op(e4,e1)),
    inference(cnf_transformation,[],[f3]) ).

fof(f2370,plain,
    ( ~ spl17_63
    | ~ spl17_90 ),
    inference(avatar_contradiction_clause,[],[f2369]) ).

fof(f2369,plain,
    ( $false
    | ~ spl17_63
    | ~ spl17_90 ),
    inference(subsumption_resolution,[],[f2368,f234]) ).

fof(f234,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2368,plain,
    ( e1 = e3
    | ~ spl17_63
    | ~ spl17_90 ),
    inference(forward_demodulation,[],[f726,f581]) ).

fof(f581,plain,
    ( e1 = op(e2,e1)
    | ~ spl17_63 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f580,plain,
    ( spl17_63
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_63])]) ).

fof(f2367,plain,
    ( spl17_88
    | ~ spl17_125 ),
    inference(avatar_contradiction_clause,[],[f2366]) ).

fof(f2366,plain,
    ( $false
    | spl17_88
    | ~ spl17_125 ),
    inference(subsumption_resolution,[],[f2365,f711]) ).

fof(f711,plain,
    ( e4 != sF10
    | spl17_88 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f709,plain,
    ( spl17_88
  <=> e4 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_88])]) ).

fof(f2365,plain,
    ( e4 = sF10
    | ~ spl17_125 ),
    inference(forward_demodulation,[],[f295,f922]) ).

fof(f922,plain,
    ( e4 = op(e1,e4)
    | ~ spl17_125 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f920,plain,
    ( spl17_125
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_125])]) ).

fof(f2362,plain,
    ( ~ spl17_137
    | ~ spl17_139 ),
    inference(avatar_contradiction_clause,[],[f2361]) ).

fof(f2361,plain,
    ( $false
    | ~ spl17_137
    | ~ spl17_139 ),
    inference(subsumption_resolution,[],[f2360,f994]) ).

fof(f2360,plain,
    ( e0 != op(e2,e0)
    | ~ spl17_139 ),
    inference(forward_demodulation,[],[f128,f1009]) ).

fof(f1009,plain,
    ( e0 = op(e2,e2)
    | ~ spl17_139 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1007,plain,
    ( spl17_139
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_139])]) ).

fof(f128,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2304,plain,
    ( ~ spl17_61
    | ~ spl17_142 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | ~ spl17_61
    | ~ spl17_142 ),
    inference(subsumption_resolution,[],[f2302,f234]) ).

fof(f2302,plain,
    ( e1 = e3
    | ~ spl17_61
    | ~ spl17_142 ),
    inference(backward_demodulation,[],[f573,f1023]) ).

fof(f1023,plain,
    ( op(e0,e0) = e1
    | ~ spl17_142 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f2263,plain,
    ( ~ spl17_120
    | ~ spl17_121 ),
    inference(avatar_contradiction_clause,[],[f2262]) ).

fof(f2262,plain,
    ( $false
    | ~ spl17_120
    | ~ spl17_121 ),
    inference(subsumption_resolution,[],[f2261,f237]) ).

fof(f2261,plain,
    ( e0 = e4
    | ~ spl17_120
    | ~ spl17_121 ),
    inference(forward_demodulation,[],[f896,f900]) ).

fof(f896,plain,
    ( e4 = op(e4,e1)
    | ~ spl17_120 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl17_120
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_120])]) ).

fof(f2207,plain,
    ( ~ spl17_65
    | ~ spl17_72 ),
    inference(avatar_contradiction_clause,[],[f2206]) ).

fof(f2206,plain,
    ( $false
    | ~ spl17_65
    | ~ spl17_72 ),
    inference(subsumption_resolution,[],[f2205,f237]) ).

fof(f2205,plain,
    ( e0 = e4
    | ~ spl17_65
    | ~ spl17_72 ),
    inference(forward_demodulation,[],[f626,f595]) ).

fof(f626,plain,
    ( e4 = op(e3,e3)
    | ~ spl17_72 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl17_72
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_72])]) ).

fof(f2191,plain,
    ( ~ spl17_81
    | ~ spl17_144 ),
    inference(avatar_split_clause,[],[f2040,f1051,f671]) ).

fof(f671,plain,
    ( spl17_81
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_81])]) ).

fof(f2040,plain,
    ( e0 != op(e3,e0)
    | ~ spl17_144 ),
    inference(forward_demodulation,[],[f1247,f1053]) ).

fof(f1247,plain,
    op(e3,e0) != sF15,
    inference(forward_demodulation,[],[f173,f305]) ).

fof(f173,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2163,plain,
    ( ~ spl17_97
    | ~ spl17_135 ),
    inference(avatar_contradiction_clause,[],[f2162]) ).

fof(f2162,plain,
    ( $false
    | ~ spl17_97
    | ~ spl17_135 ),
    inference(subsumption_resolution,[],[f2161,f237]) ).

fof(f2161,plain,
    ( e0 = e4
    | ~ spl17_97
    | ~ spl17_135 ),
    inference(forward_demodulation,[],[f2160,f757]) ).

fof(f757,plain,
    ( e0 = op(e0,e4)
    | ~ spl17_97 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl17_97
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_97])]) ).

fof(f2160,plain,
    ( e4 = op(e0,e4)
    | ~ spl17_97
    | ~ spl17_135 ),
    inference(forward_demodulation,[],[f2159,f757]) ).

fof(f2159,plain,
    ( e4 = op(op(e0,e4),e4)
    | ~ spl17_135 ),
    inference(forward_demodulation,[],[f221,f979]) ).

fof(f979,plain,
    ( e4 = op(e4,e0)
    | ~ spl17_135 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f977,plain,
    ( spl17_135
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_135])]) ).

fof(f221,plain,
    e4 = op(op(e0,e4),op(e4,e0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f2068,plain,
    ( spl17_154
    | ~ spl17_4 ),
    inference(avatar_split_clause,[],[f2067,f323,f1119]) ).

fof(f323,plain,
    ( spl17_4
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).

fof(f2067,plain,
    ( e2 = sF12
    | ~ spl17_4 ),
    inference(forward_demodulation,[],[f299,f325]) ).

fof(f325,plain,
    ( e2 = op(e1,e3)
    | ~ spl17_4 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f2018,plain,
    ( ~ spl17_11
    | spl17_39
    | ~ spl17_151 ),
    inference(avatar_contradiction_clause,[],[f2017]) ).

fof(f2017,plain,
    ( $false
    | ~ spl17_11
    | spl17_39
    | ~ spl17_151 ),
    inference(subsumption_resolution,[],[f2015,f478]) ).

fof(f478,plain,
    ( e0 != op(e1,e2)
    | spl17_39 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl17_39
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_39])]) ).

fof(f2015,plain,
    ( e0 = op(e1,e2)
    | ~ spl17_11
    | ~ spl17_151 ),
    inference(backward_demodulation,[],[f1592,f1102]) ).

fof(f1102,plain,
    ( e1 = sF9
    | ~ spl17_151 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1101,plain,
    ( spl17_151
  <=> e1 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_151])]) ).

fof(f2011,plain,
    ( ~ spl17_88
    | ~ spl17_122 ),
    inference(avatar_contradiction_clause,[],[f2010]) ).

fof(f2010,plain,
    ( $false
    | ~ spl17_88
    | ~ spl17_122 ),
    inference(subsumption_resolution,[],[f1627,f710]) ).

fof(f710,plain,
    ( e4 = sF10
    | ~ spl17_88 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1627,plain,
    ( e4 != sF10
    | ~ spl17_122 ),
    inference(forward_demodulation,[],[f1246,f908]) ).

fof(f908,plain,
    ( e4 = op(e1,e1)
    | ~ spl17_122 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f906,plain,
    ( spl17_122
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_122])]) ).

fof(f1246,plain,
    op(e1,e1) != sF10,
    inference(forward_demodulation,[],[f111,f295]) ).

fof(f111,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1997,plain,
    ( spl17_127
    | ~ spl17_78 ),
    inference(avatar_split_clause,[],[f1996,f655,f930]) ).

fof(f930,plain,
    ( spl17_127
  <=> e4 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_127])]) ).

fof(f655,plain,
    ( spl17_78
  <=> e4 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).

fof(f1996,plain,
    ( e4 = sF16
    | ~ spl17_78 ),
    inference(backward_demodulation,[],[f307,f657]) ).

fof(f657,plain,
    ( e4 = op(e0,e3)
    | ~ spl17_78 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f307,plain,
    op(e0,e3) = sF16,
    introduced(function_definition,[]) ).

fof(f1994,plain,
    ( ~ spl17_127
    | ~ spl17_83 ),
    inference(avatar_split_clause,[],[f1990,f681,f930]) ).

fof(f1990,plain,
    ( e4 != sF16
    | ~ spl17_83 ),
    inference(backward_demodulation,[],[f689,f682]) ).

fof(f689,plain,
    op(e0,e4) != sF16,
    inference(forward_demodulation,[],[f174,f307]) ).

fof(f174,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1989,plain,
    ( ~ spl17_41
    | spl17_164 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | ~ spl17_41
    | spl17_164 ),
    inference(subsumption_resolution,[],[f1986,f1240]) ).

fof(f1240,plain,
    ( e0 != sF9
    | spl17_164 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f1986,plain,
    ( e0 = sF9
    | ~ spl17_41 ),
    inference(backward_demodulation,[],[f293,f487]) ).

fof(f487,plain,
    ( e0 = op(e1,e0)
    | ~ spl17_41 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f485,plain,
    ( spl17_41
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).

fof(f1984,plain,
    ( ~ spl17_49
    | ~ spl17_106 ),
    inference(avatar_contradiction_clause,[],[f1983]) ).

fof(f1983,plain,
    ( $false
    | ~ spl17_49
    | ~ spl17_106 ),
    inference(subsumption_resolution,[],[f1778,f521]) ).

fof(f521,plain,
    ( e2 = op(e3,e2)
    | ~ spl17_49 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f520,plain,
    ( spl17_49
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_49])]) ).

fof(f1778,plain,
    ( e2 != op(e3,e2)
    | ~ spl17_106 ),
    inference(forward_demodulation,[],[f182,f811]) ).

fof(f811,plain,
    ( e2 = op(e3,e4)
    | ~ spl17_106 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f809,plain,
    ( spl17_106
  <=> e2 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_106])]) ).

fof(f182,plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1976,plain,
    ( ~ spl17_161
    | ~ spl17_130 ),
    inference(avatar_split_clause,[],[f1975,f948,f1204]) ).

fof(f1204,plain,
    ( spl17_161
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_161])]) ).

fof(f948,plain,
    ( spl17_130
  <=> e1 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_130])]) ).

fof(f1975,plain,
    ( e1 != op(e0,e3)
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f1042,f950]) ).

fof(f950,plain,
    ( e1 = sF14
    | ~ spl17_130 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f1042,plain,
    op(e0,e3) != sF14,
    inference(forward_demodulation,[],[f124,f303]) ).

fof(f303,plain,
    op(e2,e3) = sF14,
    introduced(function_definition,[]) ).

fof(f124,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1966,plain,
    ( ~ spl17_102
    | spl17_107
    | ~ spl17_134 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1965,plain,
    ( $false
    | ~ spl17_102
    | spl17_107
    | ~ spl17_134 ),
    inference(subsumption_resolution,[],[f1964,f817]) ).

fof(f817,plain,
    ( e1 != e4
    | spl17_107 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f816,plain,
    ( spl17_107
  <=> e1 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_107])]) ).

fof(f1964,plain,
    ( e1 = e4
    | ~ spl17_102
    | ~ spl17_134 ),
    inference(backward_demodulation,[],[f973,f789]) ).

fof(f789,plain,
    ( e1 = sF11
    | ~ spl17_102 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f788,plain,
    ( spl17_102
  <=> e1 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_102])]) ).

fof(f1949,plain,
    ( ~ spl17_94
    | ~ spl17_122 ),
    inference(avatar_split_clause,[],[f1948,f906,f742]) ).

fof(f742,plain,
    ( spl17_94
  <=> e4 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_94])]) ).

fof(f1948,plain,
    ( e4 != sF8
    | ~ spl17_122 ),
    inference(forward_demodulation,[],[f904,f908]) ).

fof(f904,plain,
    op(e1,e1) != sF8,
    inference(forward_demodulation,[],[f167,f291]) ).

fof(f167,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1940,plain,
    ( ~ spl17_91
    | ~ spl17_134 ),
    inference(avatar_contradiction_clause,[],[f1939]) ).

fof(f1939,plain,
    ( $false
    | ~ spl17_91
    | ~ spl17_134 ),
    inference(subsumption_resolution,[],[f1668,f730]) ).

fof(f730,plain,
    ( e4 = op(e2,e1)
    | ~ spl17_91 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f728,plain,
    ( spl17_91
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_91])]) ).

fof(f1668,plain,
    ( e4 != op(e2,e1)
    | ~ spl17_134 ),
    inference(forward_demodulation,[],[f717,f973]) ).

fof(f717,plain,
    op(e2,e1) != sF11,
    inference(backward_demodulation,[],[f198,f297]) ).

fof(f297,plain,
    op(e1,e1) = sF11,
    introduced(function_definition,[]) ).

fof(f198,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1934,plain,
    ( ~ spl17_158
    | ~ spl17_134 ),
    inference(avatar_split_clause,[],[f1744,f971,f1157]) ).

fof(f1157,plain,
    ( spl17_158
  <=> e4 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_158])]) ).

fof(f1744,plain,
    ( e4 != sF12
    | ~ spl17_134 ),
    inference(forward_demodulation,[],[f1245,f973]) ).

fof(f1245,plain,
    sF12 != sF11,
    inference(forward_demodulation,[],[f1244,f297]) ).

fof(f1244,plain,
    op(e1,e1) != sF12,
    inference(forward_demodulation,[],[f131,f299]) ).

fof(f131,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1889,plain,
    ( ~ spl17_69
    | ~ spl17_82
    | spl17_107 ),
    inference(avatar_contradiction_clause,[],[f1888]) ).

fof(f1888,plain,
    ( $false
    | ~ spl17_69
    | ~ spl17_82
    | spl17_107 ),
    inference(subsumption_resolution,[],[f1887,f817]) ).

fof(f1887,plain,
    ( e1 = e4
    | ~ spl17_69
    | ~ spl17_82 ),
    inference(forward_demodulation,[],[f614,f677]) ).

fof(f677,plain,
    ( e1 = op(e3,e0)
    | ~ spl17_82 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl17_82
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_82])]) ).

fof(f1882,plain,
    ( ~ spl17_11
    | ~ spl17_133 ),
    inference(avatar_contradiction_clause,[],[f1881]) ).

fof(f1881,plain,
    ( $false
    | ~ spl17_11
    | ~ spl17_133 ),
    inference(subsumption_resolution,[],[f1880,f240]) ).

fof(f1880,plain,
    ( e1 = e2
    | ~ spl17_11
    | ~ spl17_133 ),
    inference(backward_demodulation,[],[f355,f964]) ).

fof(f964,plain,
    ( e1 = op(e0,e1)
    | ~ spl17_133 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f962,plain,
    ( spl17_133
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_133])]) ).

fof(f1875,plain,
    ( spl17_146
    | ~ spl17_110 ),
    inference(avatar_split_clause,[],[f1874,f831,f1066]) ).

fof(f831,plain,
    ( spl17_110
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_110])]) ).

fof(f1874,plain,
    ( e2 = sF10
    | ~ spl17_110 ),
    inference(forward_demodulation,[],[f295,f833]) ).

fof(f833,plain,
    ( e2 = op(e1,e4)
    | ~ spl17_110 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f1873,plain,
    ( ~ spl17_97
    | ~ spl17_51 ),
    inference(avatar_split_clause,[],[f1872,f529,f755]) ).

fof(f1872,plain,
    ( e0 != op(e0,e4)
    | ~ spl17_51 ),
    inference(forward_demodulation,[],[f162,f531]) ).

fof(f162,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1850,plain,
    ( ~ spl17_140
    | ~ spl17_51 ),
    inference(avatar_split_clause,[],[f1847,f529,f1011]) ).

fof(f1011,plain,
    ( spl17_140
  <=> e0 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_140])]) ).

fof(f1847,plain,
    ( e0 != sF8
    | ~ spl17_51 ),
    inference(backward_demodulation,[],[f1046,f531]) ).

fof(f1046,plain,
    op(e0,e2) != sF8,
    inference(forward_demodulation,[],[f130,f291]) ).

fof(f130,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1813,plain,
    ( ~ spl17_95
    | ~ spl17_11 ),
    inference(avatar_split_clause,[],[f1812,f353,f747]) ).

fof(f747,plain,
    ( spl17_95
  <=> e2 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_95])]) ).

fof(f1812,plain,
    ( e2 != op(e0,e4)
    | ~ spl17_11 ),
    inference(forward_demodulation,[],[f171,f355]) ).

fof(f171,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1805,plain,
    ( ~ spl17_6
    | ~ spl17_61 ),
    inference(avatar_split_clause,[],[f1804,f571,f332]) ).

fof(f332,plain,
    ( spl17_6
  <=> e3 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).

fof(f1804,plain,
    ( e3 != op(e0,e4)
    | ~ spl17_61 ),
    inference(forward_demodulation,[],[f189,f573]) ).

fof(f189,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1803,plain,
    ( spl17_158
    | ~ spl17_3 ),
    inference(avatar_split_clause,[],[f1802,f319,f1157]) ).

fof(f319,plain,
    ( spl17_3
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f1802,plain,
    ( e4 = sF12
    | ~ spl17_3 ),
    inference(forward_demodulation,[],[f299,f321]) ).

fof(f321,plain,
    ( e4 = op(e1,e3)
    | ~ spl17_3 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f1783,plain,
    ( spl17_144
    | ~ spl17_65 ),
    inference(avatar_split_clause,[],[f1782,f593,f1051]) ).

fof(f1782,plain,
    ( e0 = sF15
    | ~ spl17_65 ),
    inference(forward_demodulation,[],[f305,f595]) ).

fof(f1772,plain,
    ( ~ spl17_144
    | ~ spl17_2 ),
    inference(avatar_split_clause,[],[f1771,f315,f1051]) ).

fof(f315,plain,
    ( spl17_2
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f1771,plain,
    ( e0 != sF15
    | ~ spl17_2 ),
    inference(forward_demodulation,[],[f1228,f1696]) ).

fof(f1696,plain,
    ( e0 = sF12
    | ~ spl17_2 ),
    inference(forward_demodulation,[],[f299,f317]) ).

fof(f317,plain,
    ( e0 = op(e1,e3)
    | ~ spl17_2 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f1228,plain,
    sF12 != sF15,
    inference(forward_demodulation,[],[f1227,f299]) ).

fof(f1227,plain,
    op(e1,e3) != sF15,
    inference(forward_demodulation,[],[f195,f305]) ).

fof(f195,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1753,plain,
    ( ~ spl17_31
    | ~ spl17_121 ),
    inference(avatar_contradiction_clause,[],[f1752]) ).

fof(f1752,plain,
    ( $false
    | ~ spl17_31
    | ~ spl17_121 ),
    inference(subsumption_resolution,[],[f1751,f238]) ).

fof(f1751,plain,
    ( e0 = e3
    | ~ spl17_31
    | ~ spl17_121 ),
    inference(forward_demodulation,[],[f441,f900]) ).

fof(f441,plain,
    ( e3 = op(e4,e1)
    | ~ spl17_31 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl17_31
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).

fof(f1718,plain,
    ( ~ spl17_12
    | ~ spl17_122 ),
    inference(avatar_contradiction_clause,[],[f1717]) ).

fof(f1717,plain,
    ( $false
    | ~ spl17_12
    | ~ spl17_122 ),
    inference(subsumption_resolution,[],[f1716,f235]) ).

fof(f235,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1716,plain,
    ( e2 = e4
    | ~ spl17_12
    | ~ spl17_122 ),
    inference(backward_demodulation,[],[f908,f359]) ).

fof(f359,plain,
    ( e2 = op(e1,e1)
    | ~ spl17_12 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl17_12
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).

fof(f1675,plain,
    ( ~ spl17_52
    | ~ spl17_61 ),
    inference(avatar_split_clause,[],[f1674,f571,f533]) ).

fof(f533,plain,
    ( spl17_52
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_52])]) ).

fof(f1674,plain,
    ( e3 != op(e0,e2)
    | ~ spl17_61 ),
    inference(forward_demodulation,[],[f106,f573]) ).

fof(f106,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1661,plain,
    ( spl17_12
    | ~ spl17_63
    | ~ spl17_86 ),
    inference(avatar_split_clause,[],[f1660,f699,f580,f357]) ).

fof(f699,plain,
    ( spl17_86
  <=> e1 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).

fof(f1660,plain,
    ( e2 = op(e1,e1)
    | ~ spl17_63
    | ~ spl17_86 ),
    inference(forward_demodulation,[],[f1659,f700]) ).

fof(f700,plain,
    ( e1 = sF8
    | ~ spl17_86 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f1659,plain,
    ( e2 = op(sF8,e1)
    | ~ spl17_63 ),
    inference(forward_demodulation,[],[f679,f581]) ).

fof(f679,plain,
    e2 = op(sF8,op(e2,e1)),
    inference(forward_demodulation,[],[f206,f291]) ).

fof(f206,plain,
    e2 = op(op(e1,e2),op(e2,e1)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1650,plain,
    ( spl17_140
    | ~ spl17_39 ),
    inference(avatar_split_clause,[],[f1649,f477,f1011]) ).

fof(f1649,plain,
    ( e0 = sF8
    | ~ spl17_39 ),
    inference(forward_demodulation,[],[f291,f479]) ).

fof(f479,plain,
    ( e0 = op(e1,e2)
    | ~ spl17_39 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1643,plain,
    ( spl17_117
    | ~ spl17_40 ),
    inference(avatar_split_clause,[],[f1640,f481,f875]) ).

fof(f481,plain,
    ( spl17_40
  <=> e0 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_40])]) ).

fof(f1640,plain,
    ( e0 = sF10
    | ~ spl17_40 ),
    inference(backward_demodulation,[],[f295,f483]) ).

fof(f483,plain,
    ( e0 = op(e1,e4)
    | ~ spl17_40 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1603,plain,
    ( ~ spl17_23
    | ~ spl17_93 ),
    inference(avatar_contradiction_clause,[],[f1602]) ).

fof(f1602,plain,
    ( $false
    | ~ spl17_23
    | ~ spl17_93 ),
    inference(subsumption_resolution,[],[f1601,f235]) ).

fof(f1601,plain,
    ( e2 = e4
    | ~ spl17_23
    | ~ spl17_93 ),
    inference(forward_demodulation,[],[f740,f405]) ).

fof(f405,plain,
    ( e2 = op(e4,e2)
    | ~ spl17_23 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl17_23
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).

fof(f1583,plain,
    ( ~ spl17_112
    | ~ spl17_121 ),
    inference(avatar_split_clause,[],[f1582,f898,f841]) ).

fof(f841,plain,
    ( spl17_112
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_112])]) ).

fof(f1582,plain,
    ( e0 != op(e4,e0)
    | ~ spl17_121 ),
    inference(forward_demodulation,[],[f201,f900]) ).

fof(f201,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1572,plain,
    ( ~ spl17_53
    | ~ spl17_11 ),
    inference(avatar_split_clause,[],[f1571,f353,f537]) ).

fof(f537,plain,
    ( spl17_53
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_53])]) ).

fof(f1571,plain,
    ( e2 != op(e0,e2)
    | ~ spl17_11 ),
    inference(forward_demodulation,[],[f160,f355]) ).

fof(f160,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1532,plain,
    ( spl17_134
    | ~ spl17_122 ),
    inference(avatar_split_clause,[],[f1531,f906,f971]) ).

fof(f1531,plain,
    ( e4 = sF11
    | ~ spl17_122 ),
    inference(backward_demodulation,[],[f297,f908]) ).

fof(f1521,plain,
    ( spl17_12
    | ~ spl17_57 ),
    inference(avatar_split_clause,[],[f1520,f554,f357]) ).

fof(f554,plain,
    ( spl17_57
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_57])]) ).

fof(f1520,plain,
    ( e2 = op(e1,e1)
    | ~ spl17_57 ),
    inference(backward_demodulation,[],[f220,f556]) ).

fof(f556,plain,
    ( e1 = op(e2,e2)
    | ~ spl17_57 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f1465,plain,
    ( ~ spl17_143
    | ~ spl17_44 ),
    inference(avatar_split_clause,[],[f1454,f498,f1025]) ).

fof(f1025,plain,
    ( spl17_143
  <=> e1 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_143])]) ).

fof(f1454,plain,
    ( e1 != sF16
    | ~ spl17_44 ),
    inference(backward_demodulation,[],[f867,f499]) ).

fof(f499,plain,
    ( e1 = sF12
    | ~ spl17_44 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f867,plain,
    sF12 != sF16,
    inference(backward_demodulation,[],[f665,f299]) ).

fof(f665,plain,
    op(e1,e3) != sF16,
    inference(backward_demodulation,[],[f110,f307]) ).

fof(f110,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1451,plain,
    ( ~ spl17_119
    | ~ spl17_61 ),
    inference(avatar_split_clause,[],[f1445,f571,f885]) ).

fof(f885,plain,
    ( spl17_119
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_119])]) ).

fof(f1445,plain,
    ( e3 != op(e0,e1)
    | ~ spl17_61 ),
    inference(backward_demodulation,[],[f166,f573]) ).

fof(f166,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1450,plain,
    ( spl17_65
    | ~ spl17_61 ),
    inference(avatar_split_clause,[],[f1446,f571,f593]) ).

fof(f1446,plain,
    ( e0 = op(e3,e3)
    | ~ spl17_61 ),
    inference(backward_demodulation,[],[f212,f573]) ).

fof(f212,plain,
    e0 = op(op(e0,e0),op(e0,e0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1448,plain,
    ( ~ spl17_59
    | ~ spl17_61 ),
    inference(avatar_split_clause,[],[f1444,f571,f563]) ).

fof(f563,plain,
    ( spl17_59
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_59])]) ).

fof(f1444,plain,
    ( e3 != op(e3,e0)
    | ~ spl17_61 ),
    inference(backward_demodulation,[],[f149,f573]) ).

fof(f149,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1427,plain,
    ( ~ spl17_11
    | ~ spl17_13 ),
    inference(avatar_split_clause,[],[f1422,f361,f353]) ).

fof(f361,plain,
    ( spl17_13
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).

fof(f1422,plain,
    ( e2 != op(e0,e1)
    | ~ spl17_13 ),
    inference(backward_demodulation,[],[f188,f363]) ).

fof(f363,plain,
    ( e2 = op(e2,e1)
    | ~ spl17_13 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f188,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1418,plain,
    ( spl17_33
    | ~ spl17_22
    | ~ spl17_79 ),
    inference(avatar_split_clause,[],[f1411,f659,f399,f447]) ).

fof(f447,plain,
    ( spl17_33
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).

fof(f399,plain,
    ( spl17_22
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).

fof(f659,plain,
    ( spl17_79
  <=> e4 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).

fof(f1411,plain,
    ( e3 = op(e4,e3)
    | ~ spl17_22
    | ~ spl17_79 ),
    inference(backward_demodulation,[],[f1268,f400]) ).

fof(f400,plain,
    ( e3 = op(e3,e2)
    | ~ spl17_22 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f1268,plain,
    ( e3 = op(e4,op(e3,e2))
    | ~ spl17_79 ),
    inference(backward_demodulation,[],[f713,f661]) ).

fof(f661,plain,
    ( e4 = sF14
    | ~ spl17_79 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f713,plain,
    e3 = op(sF14,op(e3,e2)),
    inference(forward_demodulation,[],[f208,f303]) ).

fof(f208,plain,
    e3 = op(op(e2,e3),op(e3,e2)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1388,plain,
    ( ~ spl17_5
    | ~ spl17_9 ),
    inference(avatar_split_clause,[],[f1372,f344,f327]) ).

fof(f327,plain,
    ( spl17_5
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f344,plain,
    ( spl17_9
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).

fof(f1372,plain,
    ( e3 != op(e1,e3)
    | ~ spl17_9 ),
    inference(backward_demodulation,[],[f455,f1371]) ).

fof(f1371,plain,
    ( e3 = sF10
    | ~ spl17_9 ),
    inference(backward_demodulation,[],[f295,f346]) ).

fof(f346,plain,
    ( e3 = op(e1,e4)
    | ~ spl17_9 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f455,plain,
    op(e1,e3) != sF10,
    inference(backward_demodulation,[],[f181,f295]) ).

fof(f181,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1387,plain,
    ( spl17_69
    | ~ spl17_9
    | ~ spl17_121 ),
    inference(avatar_split_clause,[],[f1380,f898,f344,f612]) ).

fof(f1380,plain,
    ( e4 = op(e3,e0)
    | ~ spl17_9
    | ~ spl17_121 ),
    inference(backward_demodulation,[],[f1361,f1371]) ).

fof(f1385,plain,
    ( spl17_161
    | ~ spl17_9
    | ~ spl17_121 ),
    inference(avatar_split_clause,[],[f1381,f898,f344,f1204]) ).

fof(f1381,plain,
    ( e1 = op(e0,e3)
    | ~ spl17_9
    | ~ spl17_121 ),
    inference(backward_demodulation,[],[f1363,f1371]) ).

fof(f1382,plain,
    ( ~ spl17_10
    | ~ spl17_9 ),
    inference(avatar_split_clause,[],[f1378,f344,f348]) ).

fof(f348,plain,
    ( spl17_10
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).

fof(f1378,plain,
    ( e3 != op(e3,e4)
    | ~ spl17_9 ),
    inference(backward_demodulation,[],[f1216,f1371]) ).

fof(f1216,plain,
    op(e3,e4) != sF10,
    inference(forward_demodulation,[],[f191,f295]) ).

fof(f191,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1370,plain,
    ( spl17_61
    | ~ spl17_121 ),
    inference(avatar_split_clause,[],[f1364,f898,f571]) ).

fof(f1364,plain,
    ( op(e0,e0) = e3
    | ~ spl17_121 ),
    inference(backward_demodulation,[],[f1179,f900]) ).

fof(f1179,plain,
    e3 = op(op(e4,e1),op(e4,e1)),
    inference(forward_demodulation,[],[f230,f229]) ).

fof(f230,plain,
    e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
    inference(cnf_transformation,[],[f6]) ).

fof(f1369,plain,
    ( spl17_11
    | ~ spl17_121 ),
    inference(avatar_split_clause,[],[f1358,f898,f353]) ).

fof(f1358,plain,
    ( e2 = op(e0,e1)
    | ~ spl17_121 ),
    inference(backward_demodulation,[],[f759,f900]) ).

fof(f759,plain,
    e2 = op(op(e4,e1),e1),
    inference(backward_demodulation,[],[f228,f229]) ).

fof(f228,plain,
    e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f1368,plain,
    ( ~ spl17_98
    | ~ spl17_121 ),
    inference(avatar_split_clause,[],[f1355,f898,f767]) ).

fof(f1355,plain,
    ( e0 != op(e0,e1)
    | ~ spl17_121 ),
    inference(backward_demodulation,[],[f113,f900]) ).

fof(f113,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1365,plain,
    ( ~ spl17_89
    | ~ spl17_121 ),
    inference(avatar_split_clause,[],[f1357,f898,f720]) ).

fof(f720,plain,
    ( spl17_89
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_89])]) ).

fof(f1357,plain,
    ( e0 != op(e2,e1)
    | ~ spl17_121 ),
    inference(backward_demodulation,[],[f183,f900]) ).

fof(f183,plain,
    op(e2,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1337,plain,
    ( ~ spl17_51
    | ~ spl17_54 ),
    inference(avatar_contradiction_clause,[],[f1336]) ).

fof(f1336,plain,
    ( $false
    | ~ spl17_51
    | ~ spl17_54 ),
    inference(subsumption_resolution,[],[f1335,f239]) ).

fof(f1335,plain,
    ( e0 = e1
    | ~ spl17_51
    | ~ spl17_54 ),
    inference(backward_demodulation,[],[f543,f531]) ).

fof(f1300,plain,
    ( ~ spl17_83
    | ~ spl17_50 ),
    inference(avatar_split_clause,[],[f1289,f525,f681]) ).

fof(f1289,plain,
    ( e4 != op(e0,e4)
    | ~ spl17_50 ),
    inference(backward_demodulation,[],[f162,f527]) ).

fof(f527,plain,
    ( e4 = op(e0,e2)
    | ~ spl17_50 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1249,plain,
    ~ spl17_126,
    inference(avatar_split_clause,[],[f1248,f924]) ).

fof(f924,plain,
    ( spl17_126
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_126])]) ).

fof(f1248,plain,
    e1 != op(e1,e4),
    inference(forward_demodulation,[],[f105,f229]) ).

fof(f105,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1241,plain,
    ( ~ spl17_164
    | spl17_25
    | spl17_62
    | spl17_84
    | spl17_24 ),
    inference(avatar_split_clause,[],[f294,f408,f685,f576,f413,f1238]) ).

fof(f413,plain,
    ( spl17_25
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).

fof(f576,plain,
    ( spl17_62
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_62])]) ).

fof(f685,plain,
    ( spl17_84
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).

fof(f408,plain,
    ( spl17_24
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).

fof(f294,plain,
    ( sP4
    | sP5
    | sP6
    | sP7
    | e0 != sF9 ),
    inference(definition_folding,[],[f75,f293]) ).

fof(f75,plain,
    ( e0 != op(e1,e0)
    | sP7
    | sP6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( ( e2 != op(e1,e2)
        & e0 != op(e1,e0)
        & e4 != op(e1,e4)
        & e1 != op(e1,e1)
        & e3 != op(e1,e3) )
      | sP7
      | sP6
      | sP5
      | sP4 )
    & ( ( e4 != op(e4,e3)
        & e2 != op(e2,e3)
        & e3 != op(e3,e3)
        & e0 != op(e0,e3)
        & e1 != op(e1,e3) )
      | sP3
      | sP2
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f9,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    ( ( e0 != op(e0,e0)
      & e4 != op(e4,e0)
      & e3 != op(e3,e0)
      & e2 != op(e2,e0)
      & e1 != op(e1,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,plain,
    ( ( e2 != op(e2,e4)
      & e4 != op(e4,e4)
      & e1 != op(e1,e4)
      & e0 != op(e0,e4)
      & e3 != op(e3,e4) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ( ( e4 != op(e4,e2)
      & e3 != op(e3,e2)
      & e2 != op(e2,e2)
      & e1 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f13,plain,
    ( ( e4 != op(e4,e1)
      & e3 != op(e3,e1)
      & e2 != op(e2,e1)
      & e1 != op(e1,e1)
      & e0 != op(e0,e1) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f14,plain,
    ( ( e3 != op(e4,e3)
      & e4 != op(e4,e4)
      & e0 != op(e4,e0)
      & e2 != op(e4,e2)
      & e1 != op(e4,e1) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f15,plain,
    ( ( e0 != op(e0,e0)
      & e1 != op(e0,e1)
      & e3 != op(e0,e3)
      & e2 != op(e0,e2)
      & e4 != op(e0,e4) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f16,plain,
    ( ( e0 != op(e2,e0)
      & e2 != op(e2,e2)
      & e3 != op(e2,e3)
      & e1 != op(e2,e1)
      & e4 != op(e2,e4) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f17,plain,
    ( ( e2 != op(e3,e2)
      & e1 != op(e3,e1)
      & e4 != op(e3,e4)
      & e3 != op(e3,e3)
      & e0 != op(e3,e0) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f9,plain,
    ( ( ( e2 != op(e1,e2)
        & e0 != op(e1,e0)
        & e4 != op(e1,e4)
        & e1 != op(e1,e1)
        & e3 != op(e1,e3) )
      | ( e2 != op(e3,e2)
        & e1 != op(e3,e1)
        & e4 != op(e3,e4)
        & e3 != op(e3,e3)
        & e0 != op(e3,e0) )
      | ( e0 != op(e2,e0)
        & e2 != op(e2,e2)
        & e3 != op(e2,e3)
        & e1 != op(e2,e1)
        & e4 != op(e2,e4) )
      | ( e0 != op(e0,e0)
        & e1 != op(e0,e1)
        & e3 != op(e0,e3)
        & e2 != op(e0,e2)
        & e4 != op(e0,e4) )
      | ( e3 != op(e4,e3)
        & e4 != op(e4,e4)
        & e0 != op(e4,e0)
        & e2 != op(e4,e2)
        & e1 != op(e4,e1) ) )
    & ( ( e4 != op(e4,e3)
        & e2 != op(e2,e3)
        & e3 != op(e3,e3)
        & e0 != op(e0,e3)
        & e1 != op(e1,e3) )
      | ( e4 != op(e4,e1)
        & e3 != op(e3,e1)
        & e2 != op(e2,e1)
        & e1 != op(e1,e1)
        & e0 != op(e0,e1) )
      | ( e4 != op(e4,e2)
        & e3 != op(e3,e2)
        & e2 != op(e2,e2)
        & e1 != op(e1,e2)
        & e0 != op(e0,e2) )
      | ( e2 != op(e2,e4)
        & e4 != op(e4,e4)
        & e1 != op(e1,e4)
        & e0 != op(e0,e4)
        & e3 != op(e3,e4) )
      | ( e0 != op(e0,e0)
        & e4 != op(e4,e0)
        & e3 != op(e3,e0)
        & e2 != op(e2,e0)
        & e1 != op(e1,e0) ) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( ( ( e2 != op(e1,e2)
            & e0 != op(e1,e0)
            & e4 != op(e1,e4)
            & e1 != op(e1,e1)
            & e3 != op(e1,e3) )
          | ( e2 != op(e3,e2)
            & e1 != op(e3,e1)
            & e4 != op(e3,e4)
            & e3 != op(e3,e3)
            & e0 != op(e3,e0) )
          | ( e0 != op(e2,e0)
            & e2 != op(e2,e2)
            & e3 != op(e2,e3)
            & e1 != op(e2,e1)
            & e4 != op(e2,e4) )
          | ( e0 != op(e0,e0)
            & e1 != op(e0,e1)
            & e3 != op(e0,e3)
            & e2 != op(e0,e2)
            & e4 != op(e0,e4) )
          | ( e3 != op(e4,e3)
            & e4 != op(e4,e4)
            & e0 != op(e4,e0)
            & e2 != op(e4,e2)
            & e1 != op(e4,e1) ) )
        & ( ( e4 != op(e4,e3)
            & e2 != op(e2,e3)
            & e3 != op(e3,e3)
            & e0 != op(e0,e3)
            & e1 != op(e1,e3) )
          | ( e4 != op(e4,e1)
            & e3 != op(e3,e1)
            & e2 != op(e2,e1)
            & e1 != op(e1,e1)
            & e0 != op(e0,e1) )
          | ( e4 != op(e4,e2)
            & e3 != op(e3,e2)
            & e2 != op(e2,e2)
            & e1 != op(e1,e2)
            & e0 != op(e0,e2) )
          | ( e2 != op(e2,e4)
            & e4 != op(e4,e4)
            & e1 != op(e1,e4)
            & e0 != op(e0,e4)
            & e3 != op(e3,e4) )
          | ( e0 != op(e0,e0)
            & e4 != op(e4,e0)
            & e3 != op(e3,e0)
            & e2 != op(e2,e0)
            & e1 != op(e1,e0) ) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( ( ( e2 != op(e1,e2)
          & e0 != op(e1,e0)
          & e4 != op(e1,e4)
          & e1 != op(e1,e1)
          & e3 != op(e1,e3) )
        | ( e2 != op(e3,e2)
          & e1 != op(e3,e1)
          & e4 != op(e3,e4)
          & e3 != op(e3,e3)
          & e0 != op(e3,e0) )
        | ( e0 != op(e2,e0)
          & e2 != op(e2,e2)
          & e3 != op(e2,e3)
          & e1 != op(e2,e1)
          & e4 != op(e2,e4) )
        | ( e0 != op(e0,e0)
          & e1 != op(e0,e1)
          & e3 != op(e0,e3)
          & e2 != op(e0,e2)
          & e4 != op(e0,e4) )
        | ( e3 != op(e4,e3)
          & e4 != op(e4,e4)
          & e0 != op(e4,e0)
          & e2 != op(e4,e2)
          & e1 != op(e4,e1) ) )
      & ( ( e4 != op(e4,e3)
          & e2 != op(e2,e3)
          & e3 != op(e3,e3)
          & e0 != op(e0,e3)
          & e1 != op(e1,e3) )
        | ( e4 != op(e4,e1)
          & e3 != op(e3,e1)
          & e2 != op(e2,e1)
          & e1 != op(e1,e1)
          & e0 != op(e0,e1) )
        | ( e4 != op(e4,e2)
          & e3 != op(e3,e2)
          & e2 != op(e2,e2)
          & e1 != op(e1,e2)
          & e0 != op(e0,e2) )
        | ( e2 != op(e2,e4)
          & e4 != op(e4,e4)
          & e1 != op(e1,e4)
          & e0 != op(e0,e4)
          & e3 != op(e3,e4) )
        | ( e0 != op(e0,e0)
          & e4 != op(e4,e0)
          & e3 != op(e3,e0)
          & e2 != op(e2,e0)
          & e1 != op(e1,e0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1233,plain,
    ( spl17_119
    | spl17_31
    | spl17_27
    | spl17_90
    | spl17_160 ),
    inference(avatar_split_clause,[],[f1232,f1189,f724,f422,f439,f885]) ).

fof(f1232,plain,
    ( e3 = sF11
    | e3 = op(e2,e1)
    | e3 = op(e3,e1)
    | e3 = op(e4,e1)
    | e3 = op(e0,e1) ),
    inference(forward_demodulation,[],[f269,f297]) ).

fof(f269,plain,
    ( e3 = op(e4,e1)
    | e3 = op(e0,e1)
    | e3 = op(e2,e1)
    | e3 = op(e3,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e4 = op(e4,e3)
      | e4 = op(e4,e2)
      | e4 = op(e4,e1)
      | e4 = op(e4,e4)
      | e4 = op(e4,e0) )
    & ( e1 = op(e3,e2)
      | e1 = op(e3,e3)
      | e1 = op(e3,e0)
      | e1 = op(e3,e4)
      | e1 = op(e3,e1) )
    & ( e0 = op(e4,e1)
      | e0 = op(e4,e0)
      | e0 = op(e4,e3)
      | e0 = op(e4,e4)
      | e0 = op(e4,e2) )
    & ( e3 = op(e1,e4)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1)
      | e3 = op(e1,e3)
      | e3 = op(e1,e0) )
    & ( e2 = op(e2,e3)
      | e2 = op(e0,e3)
      | e2 = op(e3,e3)
      | e2 = op(e1,e3)
      | e2 = op(e4,e3) )
    & ( e4 = op(e2,e0)
      | e4 = op(e3,e0)
      | e4 = op(e4,e0)
      | e4 = op(e1,e0)
      | op(e0,e0) = e4 )
    & ( e0 = op(e1,e0)
      | e0 = op(e1,e4)
      | e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e3) )
    & ( e1 = op(e3,e2)
      | e1 = op(e4,e2)
      | e1 = op(e2,e2)
      | e1 = op(e0,e2)
      | e1 = op(e1,e2) )
    & ( e2 = op(e4,e1)
      | e2 = op(e4,e4)
      | e2 = op(e4,e3)
      | e2 = op(e4,e2)
      | e2 = op(e4,e0) )
    & ( e1 = op(e0,e3)
      | e1 = op(e1,e3)
      | e1 = op(e2,e3)
      | e1 = op(e3,e3)
      | e1 = op(e4,e3) )
    & ( e0 = op(e4,e4)
      | e0 = op(e0,e4)
      | e0 = op(e3,e4)
      | e0 = op(e1,e4)
      | e0 = op(e2,e4) )
    & ( e2 = op(e4,e2)
      | e2 = op(e0,e2)
      | e2 = op(e1,e2)
      | e2 = op(e2,e2)
      | e2 = op(e3,e2) )
    & ( e3 = op(e0,e3)
      | e3 = op(e2,e3)
      | e3 = op(e1,e3)
      | e3 = op(e4,e3)
      | e3 = op(e3,e3) )
    & ( e4 = op(e0,e4)
      | e4 = op(e0,e2)
      | op(e0,e0) = e4
      | e4 = op(e0,e1)
      | e4 = op(e0,e3) )
    & ( e4 = op(e2,e1)
      | e4 = op(e4,e1)
      | e4 = op(e0,e1)
      | e4 = op(e3,e1)
      | e4 = op(e1,e1) )
    & ( e3 = op(e2,e4)
      | e3 = op(e3,e4)
      | e3 = op(e0,e4)
      | e3 = op(e4,e4)
      | e3 = op(e1,e4) )
    & ( e0 = op(e2,e3)
      | e0 = op(e4,e3)
      | e0 = op(e3,e3)
      | e0 = op(e0,e3)
      | e0 = op(e1,e3) )
    & ( e4 = op(e1,e3)
      | e4 = op(e1,e1)
      | e4 = op(e1,e4)
      | e4 = op(e1,e0)
      | e4 = op(e1,e2) )
    & ( e4 = op(e3,e3)
      | e4 = op(e3,e2)
      | e4 = op(e3,e0)
      | e4 = op(e3,e4)
      | e4 = op(e3,e1) )
    & ( e4 = op(e0,e4)
      | e4 = op(e4,e4)
      | e4 = op(e1,e4)
      | e4 = op(e2,e4)
      | e4 = op(e3,e4) )
    & ( e1 = op(e0,e2)
      | e1 = op(e0,e4)
      | e1 = op(e0,e1)
      | op(e0,e0) = e1
      | e1 = op(e0,e3) )
    & ( e3 = op(e3,e1)
      | e3 = op(e4,e1)
      | e3 = op(e2,e1)
      | e3 = op(e1,e1)
      | e3 = op(e0,e1) )
    & ( e1 = op(e1,e1)
      | e1 = op(e3,e1)
      | e1 = op(e0,e1)
      | e1 = op(e4,e1)
      | e1 = op(e2,e1) )
    & ( e0 = op(e3,e4)
      | e0 = op(e3,e0)
      | e0 = op(e3,e2)
      | e0 = op(e3,e3)
      | e0 = op(e3,e1) )
    & ( e2 = op(e1,e4)
      | e2 = op(e3,e4)
      | e2 = op(e4,e4)
      | e2 = op(e0,e4)
      | e2 = op(e2,e4) )
    & ( e0 = op(e0,e1)
      | e0 = op(e1,e1)
      | e0 = op(e3,e1)
      | e0 = op(e4,e1)
      | e0 = op(e2,e1) )
    & ( e1 = op(e2,e0)
      | e1 = op(e4,e0)
      | op(e0,e0) = e1
      | e1 = op(e1,e0)
      | e1 = op(e3,e0) )
    & ( e2 = op(e2,e3)
      | e2 = op(e2,e2)
      | e2 = op(e2,e0)
      | e2 = op(e2,e4)
      | e2 = op(e2,e1) )
    & ( e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | e2 = op(e4,e0)
      | op(e0,e0) = e2 )
    & ( e1 = op(e0,e4)
      | e1 = op(e3,e4)
      | e1 = op(e2,e4)
      | e1 = op(e1,e4)
      | e1 = op(e4,e4) )
    & ( e3 = op(e0,e2)
      | e3 = op(e0,e4)
      | e3 = op(e0,e3)
      | e3 = op(e0,e1)
      | op(e0,e0) = e3 )
    & ( e3 = op(e2,e0)
      | e3 = op(e2,e1)
      | e3 = op(e2,e3)
      | e3 = op(e2,e4)
      | e3 = op(e2,e2) )
    & ( e3 = op(e2,e2)
      | e3 = op(e0,e2)
      | e3 = op(e3,e2)
      | e3 = op(e4,e2)
      | e3 = op(e1,e2) )
    & ( e0 = op(e2,e1)
      | e0 = op(e2,e0)
      | e0 = op(e2,e2)
      | e0 = op(e2,e3)
      | e0 = op(e2,e4) )
    & ( e3 = op(e3,e0)
      | e3 = op(e3,e4)
      | e3 = op(e3,e3)
      | e3 = op(e3,e2)
      | e3 = op(e3,e1) )
    & ( e1 = op(e4,e1)
      | e1 = op(e4,e4)
      | e1 = op(e4,e2)
      | e1 = op(e4,e0)
      | e1 = op(e4,e3) )
    & ( e2 = op(e0,e1)
      | e2 = op(e3,e1)
      | e2 = op(e1,e1)
      | e2 = op(e2,e1)
      | e2 = op(e4,e1) )
    & ( e4 = op(e1,e2)
      | e4 = op(e4,e2)
      | e4 = op(e2,e2)
      | e4 = op(e3,e2)
      | e4 = op(e0,e2) )
    & ( e2 = op(e0,e2)
      | op(e0,e0) = e2
      | e2 = op(e0,e1)
      | e2 = op(e0,e4)
      | e2 = op(e0,e3) )
    & ( e3 = op(e2,e0)
      | e3 = op(e4,e0)
      | e3 = op(e3,e0)
      | e3 = op(e1,e0)
      | op(e0,e0) = e3 )
    & ( e0 = op(e3,e0)
      | e0 = op(e0,e0)
      | e0 = op(e4,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0) )
    & ( e4 = op(e1,e3)
      | e4 = op(e0,e3)
      | e4 = op(e2,e3)
      | e4 = op(e4,e3)
      | e4 = op(e3,e3) )
    & ( e2 = op(e1,e4)
      | e2 = op(e1,e3)
      | e2 = op(e1,e2)
      | e2 = op(e1,e1)
      | e2 = op(e1,e0) )
    & ( e0 = op(e0,e4)
      | e0 = op(e0,e0)
      | e0 = op(e0,e2)
      | e0 = op(e0,e3)
      | e0 = op(e0,e1) )
    & ( e4 = op(e2,e4)
      | e4 = op(e2,e2)
      | e4 = op(e2,e0)
      | e4 = op(e2,e3)
      | e4 = op(e2,e1) )
    & ( e3 = op(e4,e1)
      | e3 = op(e4,e0)
      | e3 = op(e4,e4)
      | e3 = op(e4,e3)
      | e3 = op(e4,e2) )
    & ( e1 = op(e2,e0)
      | e1 = op(e2,e4)
      | e1 = op(e2,e2)
      | e1 = op(e2,e3)
      | e1 = op(e2,e1) )
    & ( e2 = op(e3,e1)
      | e2 = op(e3,e3)
      | e2 = op(e3,e4)
      | e2 = op(e3,e2)
      | e2 = op(e3,e0) )
    & ( e1 = op(e1,e2)
      | e1 = op(e1,e1)
      | e1 = op(e1,e3)
      | e1 = op(e1,e4)
      | e1 = op(e1,e0) )
    & ( e0 = op(e3,e2)
      | e0 = op(e0,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e4,e2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f1230,plain,
    spl17_122,
    inference(avatar_split_clause,[],[f1229,f906]) ).

fof(f1229,plain,
    e4 = op(e1,e1),
    inference(forward_demodulation,[],[f211,f229]) ).

fof(f211,plain,
    e4 = op(op(e4,e4),op(e4,e4)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1201,plain,
    ( spl17_126
    | spl17_44
    | spl17_86
    | spl17_102
    | spl17_151 ),
    inference(avatar_split_clause,[],[f1200,f1101,f788,f699,f498,f924]) ).

fof(f1200,plain,
    ( e1 = sF9
    | e1 = sF11
    | e1 = sF8
    | e1 = sF12
    | e1 = op(e1,e4) ),
    inference(forward_demodulation,[],[f1199,f291]) ).

fof(f1199,plain,
    ( e1 = sF11
    | e1 = op(e1,e4)
    | e1 = sF12
    | e1 = op(e1,e2)
    | e1 = sF9 ),
    inference(forward_demodulation,[],[f1198,f299]) ).

fof(f1198,plain,
    ( e1 = op(e1,e3)
    | e1 = sF9
    | e1 = op(e1,e4)
    | e1 = op(e1,e2)
    | e1 = sF11 ),
    inference(forward_demodulation,[],[f1197,f297]) ).

fof(f1197,plain,
    ( e1 = sF9
    | e1 = op(e1,e1)
    | e1 = op(e1,e4)
    | e1 = op(e1,e2)
    | e1 = op(e1,e3) ),
    inference(forward_demodulation,[],[f242,f293]) ).

fof(f242,plain,
    ( e1 = op(e1,e0)
    | e1 = op(e1,e1)
    | e1 = op(e1,e3)
    | e1 = op(e1,e4)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1195,plain,
    ~ spl17_114,
    inference(avatar_split_clause,[],[f1194,f855]) ).

fof(f855,plain,
    ( spl17_114
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_114])]) ).

fof(f1194,plain,
    e1 != op(e3,e4),
    inference(forward_demodulation,[],[f117,f229]) ).

fof(f117,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1147,plain,
    ( ~ spl17_33
    | ~ spl17_24 ),
    inference(avatar_split_clause,[],[f46,f408,f447]) ).

fof(f46,plain,
    ( ~ sP4
    | e3 != op(e4,e3) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( ( e3 != op(e4,e3)
      & e4 != op(e4,e4)
      & e0 != op(e4,e0)
      & e2 != op(e4,e2)
      & e1 != op(e4,e1) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f1146,plain,
    ~ spl17_107,
    inference(avatar_split_clause,[],[f232,f816]) ).

fof(f232,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1145,plain,
    ( spl17_151
    | spl17_142
    | spl17_132
    | spl17_82 ),
    inference(avatar_split_clause,[],[f1144,f675,f956,f1021,f1101]) ).

fof(f1144,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | op(e0,e0) = e1
    | e1 = sF9 ),
    inference(forward_demodulation,[],[f1143,f293]) ).

fof(f1143,plain,
    ( op(e0,e0) = e1
    | e1 = op(e1,e0)
    | e1 = op(e3,e0)
    | e1 = op(e2,e0) ),
    inference(subsumption_resolution,[],[f264,f762]) ).

fof(f762,plain,
    e1 != op(e4,e0),
    inference(backward_demodulation,[],[f144,f229]) ).

fof(f144,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f264,plain,
    ( op(e0,e0) = e1
    | e1 = op(e1,e0)
    | e1 = op(e2,e0)
    | e1 = op(e4,e0)
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1129,plain,
    ( spl17_76
    | spl17_10
    | spl17_27
    | spl17_22
    | spl17_59 ),
    inference(avatar_split_clause,[],[f1128,f563,f399,f422,f348,f645]) ).

fof(f1128,plain,
    ( e3 = op(e3,e0)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e4)
    | e3 = sF15 ),
    inference(forward_demodulation,[],[f256,f305]) ).

fof(f256,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | e3 = op(e3,e4)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1105,plain,
    ( ~ spl17_97
    | ~ spl17_43 ),
    inference(avatar_split_clause,[],[f58,f494,f755]) ).

fof(f494,plain,
    ( spl17_43
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).

fof(f58,plain,
    ( ~ sP1
    | e0 != op(e0,e4) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ( e2 != op(e2,e4)
      & e4 != op(e4,e4)
      & e1 != op(e1,e4)
      & e0 != op(e0,e4)
      & e3 != op(e3,e4) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f1104,plain,
    ( ~ spl17_151
    | ~ spl17_35 ),
    inference(avatar_split_clause,[],[f1099,f457,f1101]) ).

fof(f457,plain,
    ( spl17_35
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).

fof(f1099,plain,
    ( ~ sP0
    | e1 != sF9 ),
    inference(forward_demodulation,[],[f62,f293]) ).

fof(f62,plain,
    ( e1 != op(e1,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ( e0 != op(e0,e0)
      & e4 != op(e4,e0)
      & e3 != op(e3,e0)
      & e2 != op(e2,e0)
      & e1 != op(e1,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f1043,plain,
    ( spl17_68
    | spl17_57
    | spl17_92
    | spl17_139
    | spl17_75 ),
    inference(avatar_split_clause,[],[f77,f640,f1007,f734,f554,f607]) ).

fof(f607,plain,
    ( spl17_68
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).

fof(f77,plain,
    ( e3 = op(e2,e2)
    | e0 = op(e2,e2)
    | e4 = op(e2,e2)
    | e1 = op(e2,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e1 = op(e0,e2)
      | e4 = op(e0,e2)
      | e3 = op(e0,e2)
      | e0 = op(e0,e2)
      | e2 = op(e0,e2) )
    & ( e0 = op(e0,e4)
      | e4 = op(e0,e4)
      | e2 = op(e0,e4)
      | e3 = op(e0,e4)
      | e1 = op(e0,e4) )
    & ( e4 = op(e4,e0)
      | e2 = op(e4,e0)
      | e3 = op(e4,e0)
      | e1 = op(e4,e0)
      | e0 = op(e4,e0) )
    & ( e0 = op(e1,e0)
      | e4 = op(e1,e0)
      | e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e1 = op(e1,e0) )
    & ( e3 = op(e1,e2)
      | e0 = op(e1,e2)
      | e1 = op(e1,e2)
      | e2 = op(e1,e2)
      | e4 = op(e1,e2) )
    & ( e3 = op(e4,e2)
      | e0 = op(e4,e2)
      | e1 = op(e4,e2)
      | e2 = op(e4,e2)
      | e4 = op(e4,e2) )
    & ( e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e0 = op(e0,e1)
      | e3 = op(e0,e1)
      | e4 = op(e0,e1) )
    & ( e2 = op(e3,e2)
      | e3 = op(e3,e2)
      | e4 = op(e3,e2)
      | e1 = op(e3,e2)
      | e0 = op(e3,e2) )
    & ( e4 = op(e3,e4)
      | e1 = op(e3,e4)
      | e0 = op(e3,e4)
      | e3 = op(e3,e4)
      | e2 = op(e3,e4) )
    & ( e1 = op(e2,e4)
      | e0 = op(e2,e4)
      | e2 = op(e2,e4)
      | e3 = op(e2,e4)
      | e4 = op(e2,e4) )
    & ( e3 = op(e1,e3)
      | e1 = op(e1,e3)
      | e4 = op(e1,e3)
      | e2 = op(e1,e3)
      | e0 = op(e1,e3) )
    & ( e4 = op(e3,e3)
      | e2 = op(e3,e3)
      | e1 = op(e3,e3)
      | e3 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e3 = op(e3,e0)
      | e0 = op(e3,e0)
      | e4 = op(e3,e0)
      | e1 = op(e3,e0)
      | e2 = op(e3,e0) )
    & ( e1 = op(e3,e1)
      | e3 = op(e3,e1)
      | e4 = op(e3,e1)
      | e0 = op(e3,e1)
      | e2 = op(e3,e1) )
    & ( e0 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e4 = op(e2,e1)
      | e3 = op(e2,e1) )
    & ( e4 = op(e4,e4)
      | e1 = op(e4,e4)
      | e3 = op(e4,e4)
      | e2 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e1 = op(e1,e1)
      | e2 = op(e1,e1)
      | e0 = op(e1,e1)
      | e4 = op(e1,e1)
      | e3 = op(e1,e1) )
    & ( e3 = op(e1,e4)
      | e1 = op(e1,e4)
      | e2 = op(e1,e4)
      | e0 = op(e1,e4)
      | e4 = op(e1,e4) )
    & ( e0 = op(e2,e3)
      | e4 = op(e2,e3)
      | e1 = op(e2,e3)
      | e2 = op(e2,e3)
      | e3 = op(e2,e3) )
    & ( e0 = op(e2,e0)
      | e2 = op(e2,e0)
      | e4 = op(e2,e0)
      | e3 = op(e2,e0)
      | e1 = op(e2,e0) )
    & ( e4 = op(e4,e3)
      | e0 = op(e4,e3)
      | e3 = op(e4,e3)
      | e2 = op(e4,e3)
      | e1 = op(e4,e3) )
    & ( e1 = op(e4,e1)
      | e2 = op(e4,e1)
      | e4 = op(e4,e1)
      | e0 = op(e4,e1)
      | e3 = op(e4,e1) )
    & ( op(e0,e0) = e2
      | op(e0,e0) = e3
      | e0 = op(e0,e0)
      | op(e0,e0) = e4
      | op(e0,e0) = e1 )
    & ( e3 = op(e0,e3)
      | e1 = op(e0,e3)
      | e0 = op(e0,e3)
      | e2 = op(e0,e3)
      | e4 = op(e0,e3) )
    & ( e4 = op(e2,e2)
      | e0 = op(e2,e2)
      | e1 = op(e2,e2)
      | e2 = op(e2,e2)
      | e3 = op(e2,e2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f1040,plain,
    ~ spl17_131,
    inference(avatar_split_clause,[],[f1039,f952]) ).

fof(f952,plain,
    ( spl17_131
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_131])]) ).

fof(f1039,plain,
    e1 != op(e2,e4),
    inference(forward_demodulation,[],[f134,f229]) ).

fof(f134,plain,
    op(e2,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1029,plain,
    ( spl17_137
    | spl17_41
    | spl17_99
    | spl17_112
    | spl17_81 ),
    inference(avatar_split_clause,[],[f250,f671,f841,f771,f485,f992]) ).

fof(f250,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e4,e0)
    | e0 = op(e0,e0)
    | e0 = op(e1,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1028,plain,
    ( spl17_133
    | spl17_96
    | spl17_142
    | spl17_143
    | spl17_54 ),
    inference(avatar_split_clause,[],[f1019,f541,f1025,f1021,f751,f962]) ).

fof(f751,plain,
    ( spl17_96
  <=> e1 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_96])]) ).

fof(f1019,plain,
    ( e1 = op(e0,e2)
    | e1 = sF16
    | op(e0,e0) = e1
    | e1 = op(e0,e4)
    | e1 = op(e0,e1) ),
    inference(forward_demodulation,[],[f270,f307]) ).

fof(f270,plain,
    ( e1 = op(e0,e1)
    | op(e0,e0) = e1
    | e1 = op(e0,e4)
    | e1 = op(e0,e3)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1004,plain,
    ( spl17_93
    | spl17_135
    | spl17_107
    | spl17_120
    | spl17_77 ),
    inference(avatar_split_clause,[],[f1003,f651,f894,f816,f977,f738]) ).

fof(f1003,plain,
    ( e4 = op(e4,e3)
    | e4 = op(e4,e1)
    | e1 = e4
    | e4 = op(e4,e0)
    | e4 = op(e4,e2) ),
    inference(forward_demodulation,[],[f290,f229]) ).

fof(f290,plain,
    ( e4 = op(e4,e4)
    | e4 = op(e4,e3)
    | e4 = op(e4,e1)
    | e4 = op(e4,e0)
    | e4 = op(e4,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f990,plain,
    spl17_121,
    inference(avatar_split_clause,[],[f989,f898]) ).

fof(f989,plain,
    e0 = op(e4,e1),
    inference(forward_demodulation,[],[f227,f229]) ).

fof(f227,plain,
    e0 = op(e4,op(e4,e4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f968,plain,
    ( spl17_63
    | spl17_102
    | spl17_28
    | spl17_133 ),
    inference(avatar_split_clause,[],[f967,f962,f426,f788,f580]) ).

fof(f426,plain,
    ( spl17_28
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).

fof(f967,plain,
    ( e1 = op(e0,e1)
    | e1 = op(e3,e1)
    | e1 = sF11
    | e1 = op(e2,e1) ),
    inference(forward_demodulation,[],[f966,f297]) ).

fof(f966,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e0,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1) ),
    inference(subsumption_resolution,[],[f268,f803]) ).

fof(f803,plain,
    e1 != op(e4,e1),
    inference(forward_demodulation,[],[f127,f229]) ).

fof(f127,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f268,plain,
    ( e1 = op(e0,e1)
    | e1 = op(e4,e1)
    | e1 = op(e3,e1)
    | e1 = op(e1,e1)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f960,plain,
    ( ~ spl17_21
    | ~ spl17_68 ),
    inference(avatar_split_clause,[],[f54,f607,f395]) ).

fof(f395,plain,
    ( spl17_21
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).

fof(f54,plain,
    ( e2 != op(e2,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ( e4 != op(e4,e2)
      & e3 != op(e3,e2)
      & e2 != op(e2,e2)
      & e1 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f959,plain,
    ( spl17_63
    | spl17_57
    | spl17_130
    | spl17_131
    | spl17_132 ),
    inference(avatar_split_clause,[],[f946,f956,f952,f948,f554,f580]) ).

fof(f946,plain,
    ( e1 = op(e2,e0)
    | e1 = op(e2,e4)
    | e1 = sF14
    | e1 = op(e2,e2)
    | e1 = op(e2,e1) ),
    inference(forward_demodulation,[],[f244,f303]) ).

fof(f244,plain,
    ( e1 = op(e2,e4)
    | e1 = op(e2,e0)
    | e1 = op(e2,e3)
    | e1 = op(e2,e1)
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f927,plain,
    ( spl17_125
    | spl17_126
    | spl17_110
    | spl17_40
    | spl17_9 ),
    inference(avatar_split_clause,[],[f84,f344,f481,f831,f924,f920]) ).

fof(f84,plain,
    ( e3 = op(e1,e4)
    | e0 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4)
    | e4 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f918,plain,
    ( ~ spl17_27
    | ~ spl17_42 ),
    inference(avatar_split_clause,[],[f50,f490,f422]) ).

fof(f490,plain,
    ( spl17_42
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).

fof(f50,plain,
    ( ~ sP3
    | e3 != op(e3,e1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ( e4 != op(e4,e1)
      & e3 != op(e3,e1)
      & e2 != op(e2,e1)
      & e1 != op(e1,e1)
      & e0 != op(e0,e1) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f868,plain,
    ( ~ spl17_25
    | ~ spl17_28 ),
    inference(avatar_split_clause,[],[f30,f426,f413]) ).

fof(f30,plain,
    ( e1 != op(e3,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ( e2 != op(e3,e2)
      & e1 != op(e3,e1)
      & e4 != op(e3,e4)
      & e3 != op(e3,e3)
      & e0 != op(e3,e0) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f862,plain,
    ( spl17_10
    | spl17_114
    | spl17_106
    | spl17_115
    | spl17_70 ),
    inference(avatar_split_clause,[],[f93,f616,f859,f809,f855,f348]) ).

fof(f93,plain,
    ( e4 = op(e3,e4)
    | e0 = op(e3,e4)
    | e2 = op(e3,e4)
    | e1 = op(e3,e4)
    | e3 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f850,plain,
    ( spl17_35
    | spl17_42
    | spl17_43
    | ~ spl17_113
    | spl17_21 ),
    inference(avatar_split_clause,[],[f302,f395,f847,f494,f490,f457]) ).

fof(f302,plain,
    ( sP2
    | e4 != sF13
    | sP1
    | sP3
    | sP0 ),
    inference(definition_folding,[],[f71,f301]) ).

fof(f71,plain,
    ( e4 != op(e4,e3)
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f764,plain,
    ~ spl17_96,
    inference(avatar_split_clause,[],[f761,f751]) ).

fof(f761,plain,
    e1 != op(e0,e4),
    inference(backward_demodulation,[],[f133,f229]) ).

fof(f133,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f758,plain,
    ( spl17_83
    | spl17_95
    | spl17_96
    | spl17_6
    | spl17_97 ),
    inference(avatar_split_clause,[],[f100,f755,f332,f751,f747,f681]) ).

fof(f100,plain,
    ( e0 = op(e0,e4)
    | e3 = op(e0,e4)
    | e1 = op(e0,e4)
    | e2 = op(e0,e4)
    | e4 = op(e0,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f745,plain,
    ( spl17_71
    | spl17_50
    | spl17_92
    | spl17_93
    | spl17_94 ),
    inference(avatar_split_clause,[],[f732,f742,f738,f734,f525,f620]) ).

fof(f732,plain,
    ( e4 = sF8
    | e4 = op(e4,e2)
    | e4 = op(e2,e2)
    | e4 = op(e0,e2)
    | e4 = op(e3,e2) ),
    inference(forward_demodulation,[],[f253,f291]) ).

fof(f253,plain,
    ( e4 = op(e0,e2)
    | e4 = op(e3,e2)
    | e4 = op(e2,e2)
    | e4 = op(e4,e2)
    | e4 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f731,plain,
    ( spl17_89
    | spl17_90
    | spl17_63
    | spl17_13
    | spl17_91 ),
    inference(avatar_split_clause,[],[f87,f728,f361,f580,f724,f720]) ).

fof(f87,plain,
    ( e4 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e3 = op(e2,e1)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f696,plain,
    ( spl17_49
    | spl17_53
    | spl17_85
    | spl17_68
    | spl17_23 ),
    inference(avatar_split_clause,[],[f691,f404,f607,f693,f537,f520]) ).

fof(f691,plain,
    ( e2 = op(e4,e2)
    | e2 = op(e2,e2)
    | e2 = sF8
    | e2 = op(e0,e2)
    | e2 = op(e3,e2) ),
    inference(forward_demodulation,[],[f279,f291]) ).

fof(f279,plain,
    ( e2 = op(e4,e2)
    | e2 = op(e0,e2)
    | e2 = op(e2,e2)
    | e2 = op(e3,e2)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f688,plain,
    ( ~ spl17_83
    | ~ spl17_84 ),
    inference(avatar_split_clause,[],[f37,f685,f681]) ).

fof(f37,plain,
    ( ~ sP5
    | e4 != op(e0,e4) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ( e0 != op(e0,e0)
      & e1 != op(e0,e1)
      & e3 != op(e0,e3)
      & e2 != op(e0,e2)
      & e4 != op(e0,e4) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f662,plain,
    ( spl17_77
    | spl17_3
    | spl17_78
    | spl17_72
    | spl17_79 ),
    inference(avatar_split_clause,[],[f649,f659,f624,f655,f319,f651]) ).

fof(f649,plain,
    ( e4 = sF14
    | e4 = op(e3,e3)
    | e4 = op(e0,e3)
    | e4 = op(e1,e3)
    | e4 = op(e4,e3) ),
    inference(forward_demodulation,[],[f249,f303]) ).

fof(f249,plain,
    ( e4 = op(e4,e3)
    | e4 = op(e3,e3)
    | e4 = op(e1,e3)
    | e4 = op(e0,e3)
    | e4 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f610,plain,
    ( ~ spl17_68
    | ~ spl17_62 ),
    inference(avatar_split_clause,[],[f35,f576,f607]) ).

fof(f35,plain,
    ( ~ sP6
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ( e0 != op(e2,e0)
      & e2 != op(e2,e2)
      & e3 != op(e2,e3)
      & e1 != op(e2,e1)
      & e4 != op(e2,e4) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f544,plain,
    ( spl17_50
    | spl17_51
    | spl17_52
    | spl17_53
    | spl17_54 ),
    inference(avatar_split_clause,[],[f101,f541,f537,f533,f529,f525]) ).

fof(f101,plain,
    ( e1 = op(e0,e2)
    | e2 = op(e0,e2)
    | e3 = op(e0,e2)
    | e0 = op(e0,e2)
    | e4 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f330,plain,
    ( spl17_1
    | spl17_2
    | spl17_3
    | spl17_4
    | spl17_5 ),
    inference(avatar_split_clause,[],[f91,f327,f323,f319,f315,f311]) ).

fof(f91,plain,
    ( e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e4 = op(e1,e3)
    | e0 = op(e1,e3)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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   : Mon Aug 29 15:06:02 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (27584)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (27583)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (27590)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (27582)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (27592)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (27581)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (27584)Instruction limit reached!
% 0.19/0.51  % (27584)------------------------------
% 0.19/0.51  % (27584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (27584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (27584)Termination reason: Unknown
% 0.19/0.51  % (27584)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (27584)Memory used [KB]: 1023
% 0.19/0.51  % (27584)Time elapsed: 0.005 s
% 0.19/0.51  % (27584)Instructions burned: 3 (million)
% 0.19/0.51  % (27584)------------------------------
% 0.19/0.51  % (27584)------------------------------
% 0.19/0.52  % (27600)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (27583)Instruction limit reached!
% 0.19/0.52  % (27583)------------------------------
% 0.19/0.52  % (27583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (27583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (27583)Termination reason: Unknown
% 0.19/0.52  % (27583)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (27583)Memory used [KB]: 1023
% 0.19/0.52  % (27583)Time elapsed: 0.005 s
% 0.19/0.52  % (27583)Instructions burned: 7 (million)
% 0.19/0.52  % (27583)------------------------------
% 0.19/0.52  % (27583)------------------------------
% 0.19/0.52  % (27577)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (27586)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (27599)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52  % (27598)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53  % (27591)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53  % (27602)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (27589)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (27594)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (27580)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (27585)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56  % (27578)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.57  % (27579)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57  % (27603)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.66/0.57  TRYING [5]
% 1.66/0.57  % (27582)Instruction limit reached!
% 1.66/0.57  % (27582)------------------------------
% 1.66/0.57  % (27582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (27582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (27582)Termination reason: Unknown
% 1.66/0.57  % (27582)Termination phase: Finite model building constraint generation
% 1.66/0.57  
% 1.66/0.57  % (27582)Memory used [KB]: 7547
% 1.66/0.57  % (27582)Time elapsed: 0.164 s
% 1.66/0.57  % (27582)Instructions burned: 51 (million)
% 1.66/0.57  % (27582)------------------------------
% 1.66/0.57  % (27582)------------------------------
% 1.66/0.57  % (27593)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.66/0.58  % (27604)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.66/0.58  % (27596)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.66/0.58  % (27595)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.66/0.58  % (27576)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.66/0.58  % (27605)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.66/0.58  % (27601)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.66/0.58  % (27587)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.66/0.59  % (27588)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.85/0.60  % (27597)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.85/0.60  % (27600)First to succeed.
% 1.85/0.60  % (27581)Instruction limit reached!
% 1.85/0.60  % (27581)------------------------------
% 1.85/0.60  % (27581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.60  % (27581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.60  % (27581)Termination reason: Unknown
% 1.85/0.60  % (27581)Termination phase: Saturation
% 1.85/0.60  
% 1.85/0.60  % (27581)Memory used [KB]: 6140
% 1.85/0.60  % (27581)Time elapsed: 0.185 s
% 1.85/0.60  % (27581)Instructions burned: 48 (million)
% 1.85/0.60  % (27581)------------------------------
% 1.85/0.60  % (27581)------------------------------
% 1.85/0.60  % (27586)Instruction limit reached!
% 1.85/0.60  % (27586)------------------------------
% 1.85/0.60  % (27586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.60  % (27586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.60  % (27586)Termination reason: Unknown
% 1.85/0.60  % (27586)Termination phase: Saturation
% 1.85/0.60  
% 1.85/0.60  % (27586)Memory used [KB]: 6652
% 1.85/0.60  % (27586)Time elapsed: 0.034 s
% 1.85/0.60  % (27586)Instructions burned: 50 (million)
% 1.85/0.60  % (27586)------------------------------
% 1.85/0.60  % (27586)------------------------------
% 1.85/0.62  % (27577)Instruction limit reached!
% 1.85/0.62  % (27577)------------------------------
% 1.85/0.62  % (27577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62  % (27577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.62  % (27577)Termination reason: Unknown
% 1.85/0.62  % (27577)Termination phase: Saturation
% 1.85/0.62  
% 1.85/0.62  % (27577)Memory used [KB]: 6396
% 1.85/0.62  % (27577)Time elapsed: 0.027 s
% 1.85/0.62  % (27577)Instructions burned: 50 (million)
% 1.85/0.62  % (27577)------------------------------
% 1.85/0.62  % (27577)------------------------------
% 1.85/0.62  % (27600)Refutation found. Thanks to Tanya!
% 1.85/0.62  % SZS status Theorem for theBenchmark
% 1.85/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.63  % (27600)------------------------------
% 1.85/0.63  % (27600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63  % (27600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63  % (27600)Termination reason: Refutation
% 1.85/0.63  
% 1.85/0.63  % (27600)Memory used [KB]: 6908
% 1.85/0.63  % (27600)Time elapsed: 0.098 s
% 1.85/0.63  % (27600)Instructions burned: 66 (million)
% 1.85/0.63  % (27600)------------------------------
% 1.85/0.63  % (27600)------------------------------
% 1.85/0.63  % (27575)Success in time 0.271 s
%------------------------------------------------------------------------------