TSTP Solution File: ALG136+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG136+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_uns --cores 0 -t %d %s

% Computer : n009.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 15:39:57 EDT 2022

% Result   : Unsatisfiable 2.20s 0.66s
% Output   : Refutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   97
% Syntax   : Number of formulae    :  638 (  46 unt;   0 def)
%            Number of atoms       : 1950 ( 998 equ)
%            Maximal formula atoms :  128 (   3 avg)
%            Number of connectives : 2415 (1103   ~;1046   |; 187   &)
%                                         (  79 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   66 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   81 (  79 usr;  80 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2426,plain,
    $false,
    inference(avatar_sat_refutation,[],[f256,f265,f278,f295,f347,f378,f379,f384,f397,f398,f412,f421,f426,f435,f444,f463,f464,f469,f470,f484,f486,f491,f497,f516,f532,f542,f551,f552,f553,f554,f555,f556,f557,f562,f572,f624,f631,f632,f642,f648,f649,f650,f656,f657,f660,f661,f666,f667,f668,f672,f675,f676,f677,f678,f681,f682,f683,f684,f685,f686,f687,f698,f699,f704,f705,f708,f713,f715,f716,f719,f721,f722,f723,f724,f725,f726,f727,f728,f729,f731,f732,f735,f750,f765,f780,f789,f797,f800,f802,f809,f821,f826,f833,f843,f844,f846,f863,f876,f887,f891,f898,f900,f914,f917,f923,f926,f954,f995,f1005,f1016,f1048,f1065,f1078,f1083,f1118,f1140,f1145,f1163,f1196,f1203,f1223,f1288,f1293,f1300,f1303,f1308,f1310,f1318,f1331,f1337,f1351,f1360,f1363,f1367,f1369,f1443,f1445,f1449,f1451,f1460,f1479,f1534,f1536,f1539,f1556,f1593,f1620,f1639,f1641,f1653,f1655,f1659,f1662,f1713,f1731,f1776,f1781,f1808,f1869,f1874,f1877,f1909,f1934,f1944,f1975,f1988,f1995,f2024,f2078,f2102,f2114,f2127,f2198,f2202,f2215,f2275,f2351,f2355,f2368,f2374,f2413,f2416]) ).

fof(f2416,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f2415]) ).

fof(f2415,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f2410,f605]) ).

fof(f605,plain,
    ( e1 = op(e3,e0)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f603,plain,
    ( spl0_75
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2410,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(backward_demodulation,[],[f2332,f272]) ).

fof(f272,plain,
    ( e0 = op(e2,e2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl0_6
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2332,plain,
    ( e1 != op(e3,op(e2,e2))
    | ~ spl0_5
    | spl0_7 ),
    inference(backward_demodulation,[],[f277,f268]) ).

fof(f268,plain,
    ( e3 = op(e2,op(e2,e2))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl0_5
  <=> e3 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f277,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl0_7
  <=> e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2413,plain,
    ( ~ spl0_6
    | spl0_76
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f2412]) ).

fof(f2412,plain,
    ( $false
    | ~ spl0_6
    | spl0_76
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f2409,f610]) ).

fof(f610,plain,
    ( e0 != op(e2,e0)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl0_76
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2409,plain,
    ( e0 = op(e2,e0)
    | ~ spl0_6
    | ~ spl0_82 ),
    inference(backward_demodulation,[],[f646,f272]) ).

fof(f646,plain,
    ( e0 = op(e2,op(e2,e2))
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl0_82
  <=> e0 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2374,plain,
    ( ~ spl0_29
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2373,f639,f371]) ).

fof(f371,plain,
    ( spl0_29
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f639,plain,
    ( spl0_81
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2373,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_81 ),
    inference(forward_demodulation,[],[f203,f641]) ).

fof(f641,plain,
    ( e3 = op(e2,e0)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f203,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2368,plain,
    ( ~ spl0_29
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2367,f488,f371]) ).

fof(f488,plain,
    ( spl0_53
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2367,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_53 ),
    inference(backward_demodulation,[],[f218,f490]) ).

fof(f490,plain,
    ( e3 = op(e3,e1)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f218,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2355,plain,
    ( ~ spl0_5
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f2354]) ).

fof(f2354,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_82 ),
    inference(subsumption_resolution,[],[f2353,f166]) ).

fof(f166,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f2353,plain,
    ( e0 = e3
    | ~ spl0_5
    | ~ spl0_82 ),
    inference(backward_demodulation,[],[f268,f646]) ).

fof(f2351,plain,
    ( ~ spl0_30
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2347,f280,f375]) ).

fof(f375,plain,
    ( spl0_30
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f280,plain,
    ( spl0_8
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2347,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f204,f282]) ).

fof(f282,plain,
    ( e0 = op(e0,e1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f204,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2275,plain,
    ( ~ spl0_11
    | ~ spl0_25
    | ~ spl0_30
    | spl0_64 ),
    inference(avatar_contradiction_clause,[],[f2274]) ).

fof(f2274,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_25
    | ~ spl0_30
    | spl0_64 ),
    inference(subsumption_resolution,[],[f2273,f294]) ).

fof(f294,plain,
    ( e3 = op(e0,e1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl0_11
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2273,plain,
    ( e3 != op(e0,e1)
    | ~ spl0_25
    | ~ spl0_30
    | spl0_64 ),
    inference(forward_demodulation,[],[f2129,f377]) ).

fof(f377,plain,
    ( e0 = op(e2,e1)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f2129,plain,
    ( e3 != op(op(e2,e1),e1)
    | ~ spl0_25
    | spl0_64 ),
    inference(forward_demodulation,[],[f546,f354]) ).

fof(f354,plain,
    ( e1 = op(e2,e2)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f353,plain,
    ( spl0_25
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f546,plain,
    ( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | spl0_64 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl0_64
  <=> e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2215,plain,
    ( ~ spl0_83
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f2188,f400,f653]) ).

fof(f653,plain,
    ( spl0_83
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f400,plain,
    ( spl0_35
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2188,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f185,f401]) ).

fof(f401,plain,
    ( e3 = op(e3,e0)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f185,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2202,plain,
    ( ~ spl0_21
    | ~ spl0_50
    | spl0_62 ),
    inference(avatar_contradiction_clause,[],[f2201]) ).

fof(f2201,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_50
    | spl0_62 ),
    inference(subsumption_resolution,[],[f2200,f475]) ).

fof(f475,plain,
    ( e0 = op(e3,e1)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f473,plain,
    ( spl0_50
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2200,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_21
    | spl0_62 ),
    inference(forward_demodulation,[],[f537,f338]) ).

fof(f338,plain,
    ( e1 = op(e3,e3)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl0_21
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f537,plain,
    ( e0 != op(e3,op(e3,e3))
    | spl0_62 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl0_62
  <=> e0 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2198,plain,
    ( ~ spl0_16
    | ~ spl0_47
    | spl0_48
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f2197]) ).

fof(f2197,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_47
    | spl0_48
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f2194,f316]) ).

fof(f316,plain,
    ( e3 = op(e0,e2)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f314,plain,
    ( spl0_16
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2194,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_47
    | spl0_48
    | ~ spl0_73 ),
    inference(backward_demodulation,[],[f2079,f594]) ).

fof(f594,plain,
    ( e0 = op(e1,e2)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl0_73
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2079,plain,
    ( e3 != op(op(e1,e2),e2)
    | ~ spl0_47
    | spl0_48 ),
    inference(forward_demodulation,[],[f462,f457]) ).

fof(f457,plain,
    ( e2 = op(e1,e1)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl0_47
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f462,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | spl0_48 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl0_48
  <=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2127,plain,
    ( ~ spl0_30
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f2125,f473,f375]) ).

fof(f2125,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f218,f475]) ).

fof(f2114,plain,
    ( ~ spl0_29
    | spl0_5
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2113,f353,f267,f371]) ).

fof(f2113,plain,
    ( e3 != op(e2,e1)
    | spl0_5
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f269,f354]) ).

fof(f269,plain,
    ( e3 != op(e2,op(e2,e2))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f2102,plain,
    ( ~ spl0_67
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2101,f353,f564]) ).

fof(f564,plain,
    ( spl0_67
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2101,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f206,f354]) ).

fof(f206,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2078,plain,
    ( ~ spl0_30
    | ~ spl0_25
    | spl0_82 ),
    inference(avatar_split_clause,[],[f2077,f645,f353,f375]) ).

fof(f2077,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_25
    | spl0_82 ),
    inference(backward_demodulation,[],[f647,f354]) ).

fof(f647,plain,
    ( e0 != op(e2,op(e2,e2))
    | spl0_82 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f2024,plain,
    ( ~ spl0_4
    | ~ spl0_38
    | spl0_63
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f2023]) ).

fof(f2023,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_38
    | spl0_63
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f2022,f566]) ).

fof(f566,plain,
    ( e1 = op(e2,e0)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f2022,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_4
    | ~ spl0_38
    | spl0_63 ),
    inference(forward_demodulation,[],[f2021,f416]) ).

fof(f416,plain,
    ( e2 = op(e3,e0)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f414,plain,
    ( spl0_38
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2021,plain,
    ( e1 != op(op(e3,e0),e0)
    | ~ spl0_4
    | spl0_63 ),
    inference(forward_demodulation,[],[f541,f263]) ).

fof(f263,plain,
    ( e0 = op(e3,e3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl0_4
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f541,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | spl0_63 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f539,plain,
    ( spl0_63
  <=> e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1995,plain,
    ( ~ spl0_46
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1991,f628,f451]) ).

fof(f451,plain,
    ( spl0_46
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f628,plain,
    ( spl0_79
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1991,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_79 ),
    inference(backward_demodulation,[],[f201,f630]) ).

fof(f630,plain,
    ( e0 = op(e1,e0)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f201,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1988,plain,
    ( ~ spl0_46
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1987,f280,f451]) ).

fof(f1987,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f222,f282]) ).

fof(f222,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1975,plain,
    ( ~ spl0_83
    | ~ spl0_6
    | spl0_64
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1971,f564,f544,f271,f653]) ).

fof(f1971,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_6
    | spl0_64
    | ~ spl0_67 ),
    inference(backward_demodulation,[],[f1782,f566]) ).

fof(f1782,plain,
    ( e3 != op(op(e2,e0),e0)
    | ~ spl0_6
    | spl0_64 ),
    inference(forward_demodulation,[],[f546,f272]) ).

fof(f1944,plain,
    ( ~ spl0_39
    | ~ spl0_46
    | spl0_48
    | ~ spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1943]) ).

fof(f1943,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_46
    | spl0_48
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f1942,f641]) ).

fof(f1942,plain,
    ( e3 != op(e2,e0)
    | ~ spl0_39
    | ~ spl0_46
    | spl0_48 ),
    inference(forward_demodulation,[],[f1699,f420]) ).

fof(f420,plain,
    ( e2 = op(e1,e0)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl0_39
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1699,plain,
    ( e3 != op(op(e1,e0),e0)
    | ~ spl0_46
    | spl0_48 ),
    inference(forward_demodulation,[],[f462,f452]) ).

fof(f452,plain,
    ( e0 = op(e1,e1)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f1934,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_81 ),
    inference(avatar_contradiction_clause,[],[f1933]) ).

fof(f1933,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f1768,f641]) ).

fof(f1768,plain,
    ( e3 != op(e2,e0)
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f269,f272]) ).

fof(f1909,plain,
    ( ~ spl0_43
    | ~ spl0_11
    | ~ spl0_54
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1908,f620,f493,f292,f437]) ).

fof(f437,plain,
    ( spl0_43
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f493,plain,
    ( spl0_54
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f620,plain,
    ( spl0_78
  <=> e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1908,plain,
    ( e2 != op(e3,e1)
    | ~ spl0_11
    | ~ spl0_54
    | spl0_78 ),
    inference(forward_demodulation,[],[f1907,f294]) ).

fof(f1907,plain,
    ( e2 != op(op(e0,e1),e1)
    | ~ spl0_54
    | spl0_78 ),
    inference(forward_demodulation,[],[f622,f494]) ).

fof(f494,plain,
    ( op(e0,e0) = e1
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f622,plain,
    ( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | spl0_78 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1877,plain,
    ( ~ spl0_80
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1875,f639,f635]) ).

fof(f635,plain,
    ( spl0_80
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1875,plain,
    ( e3 != op(e2,e3)
    | ~ spl0_81 ),
    inference(backward_demodulation,[],[f184,f641]) ).

fof(f184,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1874,plain,
    ( ~ spl0_10
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1870,f493,f288]) ).

fof(f288,plain,
    ( spl0_10
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1870,plain,
    ( e1 != op(e0,e1)
    | ~ spl0_54 ),
    inference(backward_demodulation,[],[f208,f494]) ).

fof(f208,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1869,plain,
    ( ~ spl0_67
    | ~ spl0_6
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1868,f548,f271,f564]) ).

fof(f548,plain,
    ( spl0_65
  <=> e1 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1868,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_6
    | spl0_65 ),
    inference(forward_demodulation,[],[f550,f272]) ).

fof(f550,plain,
    ( e1 != op(e2,op(e2,e2))
    | spl0_65 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f1808,plain,
    ( ~ spl0_20
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1807,f305,f331]) ).

fof(f331,plain,
    ( spl0_20
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f305,plain,
    ( spl0_14
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1807,plain,
    ( e2 != op(e0,e2)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f224,f306]) ).

fof(f306,plain,
    ( op(e0,e0) = e2
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f305]) ).

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

fof(f1781,plain,
    ( ~ spl0_53
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1780,f292,f488]) ).

fof(f1780,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f200,f294]) ).

fof(f200,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1776,plain,
    ( ~ spl0_29
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1775,f292,f371]) ).

fof(f1775,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f204,f294]) ).

fof(f1731,plain,
    ( ~ spl0_61
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1730,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1729,f163]) ).

fof(f163,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1729,plain,
    ( e1 = e3
    | ~ spl0_61
    | ~ spl0_71 ),
    inference(forward_demodulation,[],[f585,f530]) ).

fof(f530,plain,
    ( e1 = op(e1,e3)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f529,plain,
    ( spl0_61
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f585,plain,
    ( e3 = op(e1,e3)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f583,plain,
    ( spl0_71
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1713,plain,
    ( ~ spl0_39
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1712]) ).

fof(f1712,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f1711,f164]) ).

fof(f164,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1711,plain,
    ( e2 = e3
    | ~ spl0_39
    | ~ spl0_83 ),
    inference(backward_demodulation,[],[f655,f420]) ).

fof(f655,plain,
    ( e3 = op(e1,e0)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1662,plain,
    ( ~ spl0_4
    | ~ spl0_38
    | spl0_84 ),
    inference(avatar_contradiction_clause,[],[f1661]) ).

fof(f1661,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_38
    | spl0_84 ),
    inference(subsumption_resolution,[],[f1567,f416]) ).

fof(f1567,plain,
    ( e2 != op(e3,e0)
    | ~ spl0_4
    | spl0_84 ),
    inference(backward_demodulation,[],[f665,f263]) ).

fof(f665,plain,
    ( e2 != op(e3,op(e3,e3))
    | spl0_84 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f663,plain,
    ( spl0_84
  <=> e2 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1659,plain,
    ( ~ spl0_9
    | spl0_12
    | ~ spl0_29
    | ~ spl0_54 ),
    inference(avatar_contradiction_clause,[],[f1658]) ).

fof(f1658,plain,
    ( $false
    | ~ spl0_9
    | spl0_12
    | ~ spl0_29
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f1657,f373]) ).

fof(f373,plain,
    ( e3 = op(e2,e1)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1657,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_9
    | spl0_12
    | ~ spl0_54 ),
    inference(forward_demodulation,[],[f1656,f286]) ).

fof(f286,plain,
    ( e2 = op(e0,e1)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl0_9
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1656,plain,
    ( e3 != op(op(e0,e1),e1)
    | spl0_12
    | ~ spl0_54 ),
    inference(forward_demodulation,[],[f299,f494]) ).

fof(f299,plain,
    ( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl0_12
  <=> e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1655,plain,
    ( ~ spl0_68
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1654,f353,f568]) ).

fof(f568,plain,
    ( spl0_68
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1654,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f183,f354]) ).

fof(f183,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1653,plain,
    ( ~ spl0_80
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1652,f371,f635]) ).

fof(f1652,plain,
    ( e3 != op(e2,e3)
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f188,f373]) ).

fof(f188,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1641,plain,
    ( ~ spl0_80
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1640,f701,f635]) ).

fof(f701,plain,
    ( spl0_87
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1640,plain,
    ( e3 != op(e2,e3)
    | ~ spl0_87 ),
    inference(forward_demodulation,[],[f181,f703]) ).

fof(f703,plain,
    ( e3 = op(e0,e3)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f181,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1639,plain,
    ( ~ spl0_77
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1636,f609,f613]) ).

fof(f613,plain,
    ( spl0_77
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1636,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_76 ),
    inference(backward_demodulation,[],[f184,f611]) ).

fof(f611,plain,
    ( e0 = op(e2,e0)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f1620,plain,
    ( ~ spl0_4
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1619]) ).

fof(f1619,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f1341,f263]) ).

fof(f1341,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_77 ),
    inference(forward_demodulation,[],[f186,f615]) ).

fof(f615,plain,
    ( e0 = op(e2,e3)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f186,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1593,plain,
    ( ~ spl0_17
    | ~ spl0_44 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f1591,f164]) ).

fof(f1591,plain,
    ( e2 = e3
    | ~ spl0_17
    | ~ spl0_44 ),
    inference(forward_demodulation,[],[f320,f443]) ).

fof(f443,plain,
    ( e2 = op(e3,e2)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f441,plain,
    ( spl0_44
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f320,plain,
    ( e3 = op(e3,e2)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl0_17
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1556,plain,
    ( ~ spl0_16
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1555,f701,f314]) ).

fof(f1555,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_87 ),
    inference(forward_demodulation,[],[f209,f703]) ).

fof(f209,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1539,plain,
    ( ~ spl0_39
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1538,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1537,f165]) ).

fof(f165,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1537,plain,
    ( e0 = e2
    | ~ spl0_39
    | ~ spl0_79 ),
    inference(forward_demodulation,[],[f420,f630]) ).

fof(f1536,plain,
    ( ~ spl0_28
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1535,f353,f367]) ).

fof(f367,plain,
    ( spl0_28
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1535,plain,
    ( e1 != op(e2,e1)
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f179,f354]) ).

fof(f179,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1534,plain,
    ( ~ spl0_30
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1533,f451,f375]) ).

fof(f1533,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f198,f452]) ).

fof(f198,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1479,plain,
    ( ~ spl0_21
    | ~ spl0_43
    | spl0_84 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

fof(f1478,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_43
    | spl0_84 ),
    inference(subsumption_resolution,[],[f1359,f439]) ).

fof(f439,plain,
    ( e2 = op(e3,e1)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f1359,plain,
    ( e2 != op(e3,e1)
    | ~ spl0_21
    | spl0_84 ),
    inference(backward_demodulation,[],[f665,f338]) ).

fof(f1460,plain,
    ( spl0_30
    | ~ spl0_25
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1458,f645,f353,f375]) ).

fof(f1458,plain,
    ( e0 = op(e2,e1)
    | ~ spl0_25
    | ~ spl0_82 ),
    inference(backward_demodulation,[],[f646,f354]) ).

fof(f1451,plain,
    ( ~ spl0_40
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1450,f481,f423]) ).

fof(f423,plain,
    ( spl0_40
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f481,plain,
    ( spl0_52
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1450,plain,
    ( e0 != op(e0,e2)
    | ~ spl0_52 ),
    inference(forward_demodulation,[],[f187,f483]) ).

fof(f483,plain,
    ( e0 = op(e3,e2)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f187,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1449,plain,
    ( ~ spl0_77
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1448]) ).

fof(f1448,plain,
    ( $false
    | ~ spl0_77
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1447,f166]) ).

fof(f1447,plain,
    ( e0 = e3
    | ~ spl0_77
    | ~ spl0_80 ),
    inference(forward_demodulation,[],[f637,f615]) ).

fof(f637,plain,
    ( e3 = op(e2,e3)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1445,plain,
    ( ~ spl0_30
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1214,f613,f375]) ).

fof(f1214,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_77 ),
    inference(forward_demodulation,[],[f188,f615]) ).

fof(f1443,plain,
    ( ~ spl0_37
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1442,f336,f409]) ).

fof(f409,plain,
    ( spl0_37
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1442,plain,
    ( e1 != op(e3,e1)
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f202,f338]) ).

fof(f202,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1369,plain,
    ( ~ spl0_8
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1368,f473,f280]) ).

fof(f1368,plain,
    ( e0 != op(e0,e1)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f200,f475]) ).

fof(f1367,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1366]) ).

fof(f1366,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1365,f294]) ).

fof(f1365,plain,
    ( e3 != op(e0,e1)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f222,f254]) ).

fof(f254,plain,
    ( e3 = op(e1,e1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl0_2
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1363,plain,
    ( ~ spl0_9
    | ~ spl0_21
    | ~ spl0_50
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1362,f710,f473,f336,f284]) ).

fof(f710,plain,
    ( spl0_88
  <=> e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1362,plain,
    ( e2 != op(e0,e1)
    | ~ spl0_21
    | ~ spl0_50
    | spl0_88 ),
    inference(forward_demodulation,[],[f1355,f475]) ).

fof(f1355,plain,
    ( e2 != op(op(e3,e1),e1)
    | ~ spl0_21
    | spl0_88 ),
    inference(backward_demodulation,[],[f712,f338]) ).

fof(f712,plain,
    ( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | spl0_88 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f1360,plain,
    ( ~ spl0_66
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1357,f336,f559]) ).

fof(f559,plain,
    ( spl0_66
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1357,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_21 ),
    inference(backward_demodulation,[],[f214,f338]) ).

fof(f214,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1351,plain,
    ( ~ spl0_87
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1349,f292,f701]) ).

fof(f1349,plain,
    ( e3 != op(e0,e3)
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f216,f294]) ).

fof(f216,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1337,plain,
    ( ~ spl0_9
    | spl0_34
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1336,f493,f394,f284]) ).

fof(f394,plain,
    ( spl0_34
  <=> e2 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1336,plain,
    ( e2 != op(e0,e1)
    | spl0_34
    | ~ spl0_54 ),
    inference(forward_demodulation,[],[f396,f494]) ).

fof(f396,plain,
    ( e2 != op(e0,op(e0,e0))
    | spl0_34 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f1331,plain,
    ( ~ spl0_66
    | spl0_7
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1330,f613,f322,f275,f559]) ).

fof(f322,plain,
    ( spl0_18
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1330,plain,
    ( e1 != op(e0,e3)
    | spl0_7
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(forward_demodulation,[],[f1329,f615]) ).

fof(f1329,plain,
    ( e1 != op(op(e2,e3),e3)
    | spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f277,f324]) ).

fof(f324,plain,
    ( e3 = op(e2,e2)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1318,plain,
    ( ~ spl0_43
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1317]) ).

fof(f1317,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f1316,f165]) ).

fof(f1316,plain,
    ( e0 = e2
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f439,f475]) ).

fof(f1310,plain,
    ( ~ spl0_11
    | ~ spl0_54
    | spl0_60 ),
    inference(avatar_split_clause,[],[f1309,f524,f493,f292]) ).

fof(f524,plain,
    ( spl0_60
  <=> e3 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1309,plain,
    ( e3 != op(e0,e1)
    | ~ spl0_54
    | spl0_60 ),
    inference(forward_demodulation,[],[f526,f494]) ).

fof(f526,plain,
    ( e3 != op(e0,op(e0,e0))
    | spl0_60 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f1308,plain,
    ( ~ spl0_81
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1182,f322,f639]) ).

fof(f1182,plain,
    ( e3 != op(e2,e0)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f206,f324]) ).

fof(f1303,plain,
    ( ~ spl0_29
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1302,f253,f371]) ).

fof(f1302,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f198,f254]) ).

fof(f1300,plain,
    ( ~ spl0_44
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1299,f331,f441]) ).

fof(f1299,plain,
    ( e2 != op(e3,e2)
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f187,f333]) ).

fof(f333,plain,
    ( e2 = op(e0,e2)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f1293,plain,
    ( ~ spl0_18
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f1292]) ).

fof(f1292,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f1291,f373]) ).

fof(f1291,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f179,f324]) ).

fof(f1288,plain,
    ( ~ spl0_18
    | ~ spl0_77
    | spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1287]) ).

fof(f1287,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_77
    | spl0_82 ),
    inference(subsumption_resolution,[],[f1286,f615]) ).

fof(f1286,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_18
    | spl0_82 ),
    inference(forward_demodulation,[],[f647,f324]) ).

fof(f1223,plain,
    ( ~ spl0_35
    | ~ spl0_51 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f1221,f166]) ).

fof(f1221,plain,
    ( e0 = e3
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f401,f479]) ).

fof(f479,plain,
    ( e0 = op(e3,e0)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl0_51
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1203,plain,
    ( ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1202,f322,f318]) ).

fof(f1202,plain,
    ( e3 != op(e3,e2)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f196,f324]) ).

fof(f196,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1196,plain,
    ( ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1195]) ).

fof(f1195,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f1194,f316]) ).

fof(f1194,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f199,f324]) ).

fof(f199,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1163,plain,
    ( ~ spl0_81
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1162,f400,f639]) ).

fof(f1162,plain,
    ( e3 != op(e2,e0)
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f197,f401]) ).

fof(f197,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1145,plain,
    ( ~ spl0_45
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

fof(f1144,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1143,f168]) ).

fof(f168,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f1143,plain,
    ( e0 = e1
    | ~ spl0_45
    | ~ spl0_79 ),
    inference(backward_demodulation,[],[f448,f630]) ).

fof(f448,plain,
    ( e1 = op(e1,e0)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f447,plain,
    ( spl0_45
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1140,plain,
    ( ~ spl0_66
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f1139]) ).

fof(f1139,plain,
    ( $false
    | ~ spl0_66
    | ~ spl0_87 ),
    inference(subsumption_resolution,[],[f1138,f163]) ).

fof(f1138,plain,
    ( e1 = e3
    | ~ spl0_66
    | ~ spl0_87 ),
    inference(backward_demodulation,[],[f703,f561]) ).

fof(f561,plain,
    ( e1 = op(e0,e3)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f1118,plain,
    ( ~ spl0_23
    | ~ spl0_52
    | spl0_62 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_52
    | spl0_62 ),
    inference(subsumption_resolution,[],[f1116,f483]) ).

fof(f1116,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_23
    | spl0_62 ),
    inference(forward_demodulation,[],[f537,f346]) ).

fof(f346,plain,
    ( e2 = op(e3,e3)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl0_23
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1083,plain,
    ( ~ spl0_66
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1079,f568,f559]) ).

fof(f1079,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_68 ),
    inference(backward_demodulation,[],[f181,f570]) ).

fof(f570,plain,
    ( e1 = op(e2,e3)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f1078,plain,
    ( ~ spl0_19
    | ~ spl0_2
    | spl0_42
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1059,f587,f432,f253,f327]) ).

fof(f327,plain,
    ( spl0_19
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f432,plain,
    ( spl0_42
  <=> e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f587,plain,
    ( spl0_72
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1059,plain,
    ( e2 != op(e0,e3)
    | ~ spl0_2
    | spl0_42
    | ~ spl0_72 ),
    inference(forward_demodulation,[],[f1056,f589]) ).

fof(f589,plain,
    ( e0 = op(e1,e3)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1056,plain,
    ( e2 != op(op(e1,e3),e3)
    | ~ spl0_2
    | spl0_42 ),
    inference(backward_demodulation,[],[f434,f254]) ).

fof(f434,plain,
    ( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | spl0_42 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f1065,plain,
    ( ~ spl0_2
    | spl0_41
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f1064]) ).

fof(f1064,plain,
    ( $false
    | ~ spl0_2
    | spl0_41
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f1055,f589]) ).

fof(f1055,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_2
    | spl0_41 ),
    inference(backward_demodulation,[],[f430,f254]) ).

fof(f430,plain,
    ( e0 != op(e1,op(e1,e1))
    | spl0_41 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f428,plain,
    ( spl0_41
  <=> e0 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1048,plain,
    ( ~ spl0_2
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1047,f488,f253]) ).

fof(f1047,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f189,f490]) ).

fof(f189,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1016,plain,
    ( ~ spl0_80
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1015,f322,f635]) ).

fof(f1015,plain,
    ( e3 != op(e2,e3)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f183,f324]) ).

fof(f1005,plain,
    ( ~ spl0_56
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1004,f507,f503]) ).

fof(f503,plain,
    ( spl0_56
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f507,plain,
    ( spl0_57
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1004,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_57 ),
    inference(forward_demodulation,[],[f193,f509]) ).

fof(f509,plain,
    ( e1 = op(e0,e2)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f193,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f995,plain,
    ( ~ spl0_23
    | ~ spl0_52
    | ~ spl0_57
    | spl0_63 ),
    inference(avatar_contradiction_clause,[],[f994]) ).

fof(f994,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_52
    | ~ spl0_57
    | spl0_63 ),
    inference(subsumption_resolution,[],[f993,f509]) ).

fof(f993,plain,
    ( e1 != op(e0,e2)
    | ~ spl0_23
    | ~ spl0_52
    | spl0_63 ),
    inference(forward_demodulation,[],[f967,f483]) ).

fof(f967,plain,
    ( e1 != op(op(e3,e2),e2)
    | ~ spl0_23
    | spl0_63 ),
    inference(forward_demodulation,[],[f541,f346]) ).

fof(f954,plain,
    ( ~ spl0_27
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f953]) ).

fof(f953,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f952,f457]) ).

fof(f952,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f198,f365]) ).

fof(f365,plain,
    ( e2 = op(e2,e1)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f363,plain,
    ( spl0_27
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f926,plain,
    ( ~ spl0_83
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f925,f390,f653]) ).

fof(f390,plain,
    ( spl0_33
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f925,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f217,f391]) ).

fof(f391,plain,
    ( op(e0,e0) = e3
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f390]) ).

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

fof(f923,plain,
    ( ~ spl0_73
    | spl0_41
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f920,f456,f428,f592]) ).

fof(f920,plain,
    ( e0 != op(e1,e2)
    | spl0_41
    | ~ spl0_47 ),
    inference(backward_demodulation,[],[f430,f457]) ).

fof(f917,plain,
    ( ~ spl0_25
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f916,f507,f353]) ).

fof(f916,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_57 ),
    inference(forward_demodulation,[],[f199,f509]) ).

fof(f914,plain,
    ( ~ spl0_37
    | ~ spl0_53 ),
    inference(avatar_contradiction_clause,[],[f913]) ).

fof(f913,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f912,f163]) ).

fof(f912,plain,
    ( e1 = e3
    | ~ spl0_37
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f490,f411]) ).

fof(f411,plain,
    ( e1 = op(e3,e1)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f900,plain,
    ( ~ spl0_6
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f899,f609,f271]) ).

fof(f899,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_76 ),
    inference(backward_demodulation,[],[f206,f611]) ).

fof(f898,plain,
    ( ~ spl0_81
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f897,f390,f639]) ).

fof(f897,plain,
    ( e3 != op(e2,e0)
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f180,f391]) ).

fof(f180,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f891,plain,
    ( ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f890]) ).

fof(f890,plain,
    ( $false
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f889,f166]) ).

fof(f889,plain,
    ( e0 = e3
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(backward_demodulation,[],[f585,f589]) ).

fof(f887,plain,
    ( ~ spl0_55
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f886,f507,f499]) ).

fof(f499,plain,
    ( spl0_55
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f886,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_57 ),
    inference(forward_demodulation,[],[f187,f509]) ).

fof(f876,plain,
    ( ~ spl0_19
    | ~ spl0_33
    | spl0_34 ),
    inference(avatar_contradiction_clause,[],[f875]) ).

fof(f875,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_33
    | spl0_34 ),
    inference(subsumption_resolution,[],[f874,f329]) ).

fof(f329,plain,
    ( e2 = op(e0,e3)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f874,plain,
    ( e2 != op(e0,e3)
    | ~ spl0_33
    | spl0_34 ),
    inference(forward_demodulation,[],[f396,f391]) ).

fof(f863,plain,
    ( ~ spl0_19
    | spl0_32
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f862]) ).

fof(f862,plain,
    ( $false
    | ~ spl0_19
    | spl0_32
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f858,f570]) ).

fof(f858,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_19
    | spl0_32
    | ~ spl0_33 ),
    inference(backward_demodulation,[],[f841,f329]) ).

fof(f841,plain,
    ( e1 != op(op(e0,e3),e3)
    | spl0_32
    | ~ spl0_33 ),
    inference(backward_demodulation,[],[f388,f391]) ).

fof(f388,plain,
    ( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | spl0_32 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl0_32
  <=> e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f846,plain,
    ( ~ spl0_43
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f845,f363,f437]) ).

fof(f845,plain,
    ( e2 != op(e3,e1)
    | ~ spl0_27 ),
    inference(backward_demodulation,[],[f218,f365]) ).

fof(f844,plain,
    ( ~ spl0_16
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f840,f390,f314]) ).

fof(f840,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_33 ),
    inference(backward_demodulation,[],[f224,f391]) ).

fof(f843,plain,
    ( ~ spl0_87
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f839,f390,f701]) ).

fof(f839,plain,
    ( e3 != op(e0,e3)
    | ~ spl0_33 ),
    inference(backward_demodulation,[],[f211,f391]) ).

fof(f211,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f833,plain,
    ( ~ spl0_28
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f831,f568,f367]) ).

fof(f831,plain,
    ( e1 != op(e2,e1)
    | ~ spl0_68 ),
    inference(backward_demodulation,[],[f188,f570]) ).

fof(f826,plain,
    ( ~ spl0_28
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f825,f564,f367]) ).

fof(f825,plain,
    ( e1 != op(e2,e1)
    | ~ spl0_67 ),
    inference(backward_demodulation,[],[f203,f566]) ).

fof(f821,plain,
    ( ~ spl0_39
    | ~ spl0_46
    | spl0_49 ),
    inference(avatar_contradiction_clause,[],[f820]) ).

fof(f820,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_46
    | spl0_49 ),
    inference(subsumption_resolution,[],[f816,f420]) ).

fof(f816,plain,
    ( e2 != op(e1,e0)
    | ~ spl0_46
    | spl0_49 ),
    inference(backward_demodulation,[],[f468,f452]) ).

fof(f468,plain,
    ( e2 != op(e1,op(e1,e1))
    | spl0_49 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl0_49
  <=> e2 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f809,plain,
    ( ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f806,f318,f314]) ).

fof(f806,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f187,f320]) ).

fof(f802,plain,
    ( ~ spl0_30
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f792,f271,f375]) ).

fof(f792,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f179,f272]) ).

fof(f800,plain,
    ( ~ spl0_77
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f795,f271,f613]) ).

fof(f795,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f183,f272]) ).

fof(f797,plain,
    ( ~ spl0_40
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f794,f271,f423]) ).

fof(f794,plain,
    ( e0 != op(e0,e2)
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f199,f272]) ).

fof(f789,plain,
    ( ~ spl0_2
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f787,f583,f253]) ).

fof(f787,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_71 ),
    inference(backward_demodulation,[],[f191,f585]) ).

fof(f191,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f780,plain,
    ( ~ spl0_25
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f777,f503,f353]) ).

fof(f777,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_56 ),
    inference(backward_demodulation,[],[f210,f505]) ).

fof(f505,plain,
    ( e1 = op(e1,e2)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f210,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f765,plain,
    ( ~ spl0_38
    | ~ spl0_51 ),
    inference(avatar_contradiction_clause,[],[f764]) ).

fof(f764,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f763,f165]) ).

fof(f763,plain,
    ( e0 = e2
    | ~ spl0_38
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f416,f479]) ).

fof(f750,plain,
    ( ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f749]) ).

fof(f749,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f748,f168]) ).

fof(f748,plain,
    ( e0 = e1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f290,f282]) ).

fof(f290,plain,
    ( e1 = op(e0,e1)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f735,plain,
    ( spl0_22
    | spl0_53
    | spl0_35
    | spl0_17 ),
    inference(avatar_split_clause,[],[f134,f318,f400,f488,f340]) ).

fof(f340,plain,
    ( spl0_22
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f134,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e3,e0)
    | e3 = op(e3,e1)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f732,plain,
    ( spl0_79
    | spl0_39
    | spl0_83
    | spl0_45 ),
    inference(avatar_split_clause,[],[f235,f447,f653,f418,f628]) ).

fof(f235,plain,
    ( e1 = op(e1,e0)
    | e3 = op(e1,e0)
    | e2 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f731,plain,
    ( ~ spl0_53
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f115,f353,f488]) ).

fof(f115,plain,
    ( e1 != op(e2,e2)
    | e3 != op(e3,e1) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f729,plain,
    ( spl0_76
    | spl0_51
    | spl0_36
    | spl0_79 ),
    inference(avatar_split_clause,[],[f129,f628,f404,f477,f609]) ).

fof(f404,plain,
    ( spl0_36
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f129,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e0,e0)
    | e0 = op(e3,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f728,plain,
    ( spl0_56
    | spl0_26
    | spl0_45
    | spl0_61 ),
    inference(avatar_split_clause,[],[f153,f529,f447,f358,f503]) ).

fof(f358,plain,
    ( spl0_26
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f153,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e1,e0)
    | e1 = op(e1,e1)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f727,plain,
    ( ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f103,f258,f271]) ).

fof(f258,plain,
    ( spl0_3
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f103,plain,
    ( e2 != op(e2,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f726,plain,
    ( spl0_66
    | spl0_1
    | spl0_19
    | spl0_87 ),
    inference(avatar_split_clause,[],[f230,f701,f327,f249,f559]) ).

fof(f249,plain,
    ( spl0_1
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f230,plain,
    ( e3 = op(e0,e3)
    | e2 = op(e0,e3)
    | e0 = op(e0,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f725,plain,
    ( ~ spl0_47
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f82,f503,f456]) ).

fof(f82,plain,
    ( e1 != op(e1,e2)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f724,plain,
    ~ spl0_58,
    inference(avatar_split_clause,[],[f244,f512]) ).

fof(f512,plain,
    ( spl0_58
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f244,plain,
    e2 != op(e2,e2),
    inference(duplicate_literal_removal,[],[f104]) ).

fof(f104,plain,
    ( e2 != op(e2,e2)
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f723,plain,
    ( spl0_87
    | spl0_22
    | spl0_80
    | spl0_71 ),
    inference(avatar_split_clause,[],[f124,f583,f635,f340,f701]) ).

fof(f124,plain,
    ( e3 = op(e1,e3)
    | e3 = op(e2,e3)
    | e3 = op(e3,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f722,plain,
    ~ spl0_22,
    inference(avatar_split_clause,[],[f245,f340]) ).

fof(f245,plain,
    e3 != op(e3,e3),
    inference(duplicate_literal_removal,[],[f110]) ).

fof(f110,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f721,plain,
    ( spl0_57
    | spl0_20
    | spl0_16
    | spl0_40 ),
    inference(avatar_split_clause,[],[f236,f423,f314,f331,f507]) ).

fof(f236,plain,
    ( e0 = op(e0,e2)
    | e3 = op(e0,e2)
    | e2 = op(e0,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f719,plain,
    ( spl0_6
    | spl0_58
    | spl0_18
    | spl0_25 ),
    inference(avatar_split_clause,[],[f234,f353,f322,f512,f271]) ).

fof(f234,plain,
    ( e1 = op(e2,e2)
    | e3 = op(e2,e2)
    | e2 = op(e2,e2)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f716,plain,
    ( ~ spl0_7
    | ~ spl0_82
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f122,f322,f645,f275]) ).

fof(f122,plain,
    ( e3 != op(e2,e2)
    | e0 != op(e2,op(e2,e2))
    | e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e0 = op(e2,op(e2,e2))
      & e1 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f715,plain,
    ( spl0_27
    | spl0_58
    | spl0_31
    | spl0_3 ),
    inference(avatar_split_clause,[],[f146,f258,f381,f512,f363]) ).

fof(f381,plain,
    ( spl0_31
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f146,plain,
    ( e2 = op(e2,e0)
    | e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f713,plain,
    ( ~ spl0_21
    | ~ spl0_62
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f55,f710,f535,f336]) ).

fof(f55,plain,
    ( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( e0 != op(e3,op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f6]) ).

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

fof(f708,plain,
    ( ~ spl0_25
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f89,f363,f353]) ).

fof(f89,plain,
    ( e2 != op(e2,e1)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f705,plain,
    ( spl0_37
    | spl0_53
    | spl0_50
    | spl0_43 ),
    inference(avatar_split_clause,[],[f241,f437,f473,f488,f409]) ).

fof(f241,plain,
    ( e2 = op(e3,e1)
    | e0 = op(e3,e1)
    | e3 = op(e3,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f704,plain,
    ( spl0_33
    | spl0_87
    | spl0_16
    | spl0_11 ),
    inference(avatar_split_clause,[],[f143,f292,f314,f701,f390]) ).

fof(f143,plain,
    ( e3 = op(e0,e1)
    | e3 = op(e0,e2)
    | e3 = op(e0,e3)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f699,plain,
    ( ~ spl0_8
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f109,f336,f280]) ).

fof(f109,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e0,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f698,plain,
    ( ~ spl0_54
    | ~ spl0_78
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f162,f524,f620,f493]) ).

fof(f162,plain,
    ( e3 != op(e0,op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e3 = op(e0,op(e0,e0))
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f687,plain,
    ( ~ spl0_14
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f91,f503,f305]) ).

fof(f91,plain,
    ( e1 != op(e1,e2)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f686,plain,
    ( ~ spl0_18
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f64,f529,f322]) ).

fof(f64,plain,
    ( e1 != op(e1,e3)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f685,plain,
    ( ~ spl0_12
    | ~ spl0_34
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f54,f493,f394,f297]) ).

fof(f54,plain,
    ( op(e0,e0) != e1
    | e2 != op(e0,op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( e2 != op(e0,op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ~ ( e2 = op(e0,op(e0,e0))
      & e3 = op(op(e0,op(e0,e0)),op(e0,e0))
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f684,plain,
    ( spl0_72
    | spl0_1
    | spl0_77
    | spl0_4 ),
    inference(avatar_split_clause,[],[f144,f262,f613,f249,f587]) ).

fof(f144,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e0,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f683,plain,
    ( ~ spl0_23
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f83,f318,f344]) ).

fof(f83,plain,
    ( e3 != op(e3,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f682,plain,
    ( spl0_14
    | spl0_33
    | spl0_54
    | spl0_36 ),
    inference(avatar_split_clause,[],[f233,f404,f493,f390,f305]) ).

fof(f233,plain,
    ( e0 = op(e0,e0)
    | op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f681,plain,
    ( spl0_26
    | spl0_2
    | spl0_46
    | spl0_47 ),
    inference(avatar_split_clause,[],[f237,f456,f451,f253,f358]) ).

fof(f237,plain,
    ( e2 = op(e1,e1)
    | e0 = op(e1,e1)
    | e3 = op(e1,e1)
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f678,plain,
    ( spl0_80
    | spl0_31
    | spl0_68
    | spl0_77 ),
    inference(avatar_split_clause,[],[f240,f613,f568,f381,f635]) ).

fof(f240,plain,
    ( e0 = op(e2,e3)
    | e1 = op(e2,e3)
    | e2 = op(e2,e3)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f677,plain,
    ( ~ spl0_53
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f79,f336,f488]) ).

fof(f79,plain,
    ( e1 != op(e3,e3)
    | e3 != op(e3,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f676,plain,
    ( ~ spl0_33
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f77,f381,f390]) ).

fof(f77,plain,
    ( e2 != op(e2,e3)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f675,plain,
    ( ~ spl0_23
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f59,f503,f344]) ).

fof(f59,plain,
    ( e1 != op(e1,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f672,plain,
    ( spl0_21
    | spl0_75
    | spl0_37
    | spl0_55 ),
    inference(avatar_split_clause,[],[f127,f499,f409,f603,f336]) ).

fof(f127,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f668,plain,
    ( ~ spl0_6
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f117,f400,f271]) ).

fof(f117,plain,
    ( e3 != op(e3,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f667,plain,
    ( ~ spl0_6
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f100,f447,f271]) ).

fof(f100,plain,
    ( e1 != op(e1,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f666,plain,
    ( ~ spl0_63
    | ~ spl0_4
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f225,f663,f262,f539]) ).

fof(f225,plain,
    ( e2 != op(e3,op(e3,e3))
    | e0 != op(e3,e3)
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e2 = op(e3,op(e3,e3))
      & e1 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f661,plain,
    ( spl0_40
    | spl0_1
    | spl0_8
    | spl0_36 ),
    inference(avatar_split_clause,[],[f150,f404,f280,f249,f423]) ).

fof(f150,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e0,e1)
    | e0 = op(e0,e3)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f660,plain,
    ( spl0_21
    | spl0_61
    | spl0_66
    | spl0_68 ),
    inference(avatar_split_clause,[],[f131,f568,f559,f529,f336]) ).

fof(f131,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e0,e3)
    | e1 = op(e1,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f657,plain,
    ~ spl0_36,
    inference(avatar_split_clause,[],[f246,f404]) ).

fof(f246,plain,
    e0 != op(e0,e0),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f656,plain,
    ( spl0_35
    | spl0_33
    | spl0_83
    | spl0_81 ),
    inference(avatar_split_clause,[],[f130,f639,f653,f390,f400]) ).

fof(f130,plain,
    ( e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f650,plain,
    ( spl0_76
    | spl0_3
    | spl0_81
    | spl0_67 ),
    inference(avatar_split_clause,[],[f232,f564,f639,f258,f609]) ).

fof(f232,plain,
    ( e1 = op(e2,e0)
    | e3 = op(e2,e0)
    | e2 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f649,plain,
    ( ~ spl0_46
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f95,f400,f451]) ).

fof(f95,plain,
    ( e3 != op(e3,e0)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f648,plain,
    ( ~ spl0_82
    | ~ spl0_64
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f161,f353,f544,f645]) ).

fof(f161,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e0 = op(e2,op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f642,plain,
    ( spl0_29
    | spl0_80
    | spl0_81
    | spl0_18 ),
    inference(avatar_split_clause,[],[f141,f322,f639,f635,f371]) ).

fof(f141,plain,
    ( e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | e3 = op(e2,e3)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f632,plain,
    ( spl0_27
    | spl0_47
    | spl0_43
    | spl0_9 ),
    inference(avatar_split_clause,[],[f136,f284,f437,f456,f363]) ).

fof(f136,plain,
    ( e2 = op(e0,e1)
    | e2 = op(e3,e1)
    | e2 = op(e1,e1)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f631,plain,
    ( spl0_79
    | spl0_73
    | spl0_46
    | spl0_72 ),
    inference(avatar_split_clause,[],[f142,f587,f451,f592,f628]) ).

fof(f142,plain,
    ( e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | e0 = op(e1,e2)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f624,plain,
    ( ~ spl0_54
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f86,f280,f493]) ).

fof(f86,plain,
    ( e0 != op(e0,e1)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f572,plain,
    ( ~ spl0_33
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f114,f249,f390]) ).

fof(f114,plain,
    ( e0 != op(e0,e3)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f562,plain,
    ( spl0_54
    | spl0_10
    | spl0_57
    | spl0_66 ),
    inference(avatar_split_clause,[],[f132,f559,f507,f288,f493]) ).

fof(f132,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f557,plain,
    ( ~ spl0_25
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f65,f280,f353]) ).

fof(f65,plain,
    ( e0 != op(e0,e1)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f556,plain,
    ( ~ spl0_61
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f107,f390,f529]) ).

fof(f107,plain,
    ( op(e0,e0) != e3
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f555,plain,
    ( ~ spl0_46
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f87,f258,f451]) ).

fof(f87,plain,
    ( e2 != op(e2,e0)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f554,plain,
    ( ~ spl0_23
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f85,f423,f344]) ).

fof(f85,plain,
    ( e0 != op(e0,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f553,plain,
    ( ~ spl0_54
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f81,f488,f493]) ).

fof(f81,plain,
    ( e3 != op(e3,e1)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f552,plain,
    ( ~ spl0_45
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f90,f262,f447]) ).

fof(f90,plain,
    ( e0 != op(e3,e3)
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f551,plain,
    ( ~ spl0_64
    | ~ spl0_65
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f123,f271,f548,f544]) ).

fof(f123,plain,
    ( e0 != op(e2,e2)
    | e1 != op(e2,op(e2,e2))
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2)
    | e1 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ~ ( e0 = op(e2,e2)
      & e1 = op(e2,op(e2,e2))
      & e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f542,plain,
    ( ~ spl0_62
    | ~ spl0_23
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f175,f539,f344,f535]) ).

fof(f175,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( e0 != op(e3,op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ~ ( e2 = op(e3,e3)
      & e0 = op(e3,op(e3,e3))
      & e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f532,plain,
    ( ~ spl0_61
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f68,f253,f529]) ).

fof(f68,plain,
    ( e3 != op(e1,e1)
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f516,plain,
    ( ~ spl0_17
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f70,f305,f318]) ).

fof(f70,plain,
    ( op(e0,e0) != e2
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f497,plain,
    ( ~ spl0_47
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f80,f423,f456]) ).

fof(f80,plain,
    ( e0 != op(e0,e2)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f491,plain,
    ( spl0_2
    | spl0_53
    | spl0_29
    | spl0_11 ),
    inference(avatar_split_clause,[],[f155,f292,f371,f488,f253]) ).

fof(f155,plain,
    ( e3 = op(e0,e1)
    | e3 = op(e2,e1)
    | e3 = op(e3,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f486,plain,
    ( ~ spl0_17
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f62,f456,f318]) ).

fof(f62,plain,
    ( e2 != op(e1,e1)
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f484,plain,
    ( spl0_50
    | spl0_51
    | spl0_4
    | spl0_52 ),
    inference(avatar_split_clause,[],[f154,f481,f262,f477,f473]) ).

fof(f154,plain,
    ( e0 = op(e3,e2)
    | e0 = op(e3,e3)
    | e0 = op(e3,e0)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f470,plain,
    ( ~ spl0_21
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f113,f363,f336]) ).

fof(f113,plain,
    ( e2 != op(e2,e1)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f469,plain,
    ( ~ spl0_46
    | ~ spl0_49
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f171,f460,f466,f451]) ).

fof(f171,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( e0 != op(e1,e1)
    | e2 != op(e1,op(e1,e1))
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e0 = op(e1,e1)
      & e2 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f464,plain,
    ( ~ spl0_4
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f92,f400,f262]) ).

fof(f92,plain,
    ( e3 != op(e3,e0)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f463,plain,
    ( ~ spl0_41
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f159,f460,f456,f428]) ).

fof(f159,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ~ ( e2 = op(e1,e1)
      & e3 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e0 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f444,plain,
    ( spl0_43
    | spl0_38
    | spl0_44
    | spl0_23 ),
    inference(avatar_split_clause,[],[f128,f344,f441,f414,f437]) ).

fof(f128,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f435,plain,
    ( ~ spl0_41
    | ~ spl0_2
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f158,f432,f253,f428]) ).

fof(f158,plain,
    ( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ~ ( e3 = op(e1,e1)
      & e0 = op(e1,op(e1,e1))
      & e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f426,plain,
    ( ~ spl0_40
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f96,f305,f423]) ).

fof(f96,plain,
    ( op(e0,e0) != e2
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f421,plain,
    ( spl0_14
    | spl0_38
    | spl0_39
    | spl0_3 ),
    inference(avatar_split_clause,[],[f145,f258,f418,f414,f305]) ).

fof(f145,plain,
    ( e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | e2 = op(e3,e0)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f412,plain,
    ( spl0_37
    | spl0_28
    | spl0_10
    | spl0_26 ),
    inference(avatar_split_clause,[],[f140,f358,f288,f367,f409]) ).

fof(f140,plain,
    ( e1 = op(e1,e1)
    | e1 = op(e0,e1)
    | e1 = op(e2,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f398,plain,
    ( ~ spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f58,f249,f322]) ).

fof(f58,plain,
    ( e0 != op(e0,e3)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f397,plain,
    ( ~ spl0_32
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f170,f394,f390,f386]) ).

fof(f170,plain,
    ( e2 != op(e0,op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( e2 != op(e0,op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( op(e0,e0) = e3
      & e2 = op(e0,op(e0,e0))
      & e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f384,plain,
    ( ~ spl0_2
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f97,f381,f253]) ).

fof(f97,plain,
    ( e2 != op(e2,e3)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f379,plain,
    ~ spl0_26,
    inference(avatar_split_clause,[],[f247,f358]) ).

fof(f247,plain,
    e1 != op(e1,e1),
    inference(duplicate_literal_removal,[],[f98]) ).

fof(f98,plain,
    ( e1 != op(e1,e1)
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f378,plain,
    ( spl0_27
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f231,f375,f371,f367,f363]) ).

fof(f231,plain,
    ( e0 = op(e2,e1)
    | e3 = op(e2,e1)
    | e1 = op(e2,e1)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f347,plain,
    ( spl0_21
    | spl0_22
    | spl0_4
    | spl0_23 ),
    inference(avatar_split_clause,[],[f242,f344,f262,f340,f336]) ).

fof(f242,plain,
    ( e2 = op(e3,e3)
    | e0 = op(e3,e3)
    | e3 = op(e3,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f295,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f243,f292,f288,f284,f280]) ).

fof(f243,plain,
    ( e3 = op(e0,e1)
    | e1 = op(e0,e1)
    | e2 = op(e0,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f278,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f172,f275,f271,f267]) ).

fof(f172,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( e3 = op(e2,op(e2,e2))
      & e1 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f265,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f118,f262,f258]) ).

fof(f118,plain,
    ( e0 != op(e3,e3)
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f256,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f120,f253,f249]) ).

fof(f120,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e0,e3) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ALG136+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_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 14:53:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (26710)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (26717)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50  % (26717)Refutation not found, incomplete strategy% (26717)------------------------------
% 0.19/0.50  % (26717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (26732)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51  % (26724)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (26717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (26717)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (26717)Memory used [KB]: 5884
% 0.19/0.51  % (26717)Time elapsed: 0.004 s
% 0.19/0.51  % (26717)Instructions burned: 1 (million)
% 0.19/0.51  % (26717)------------------------------
% 0.19/0.51  % (26717)------------------------------
% 0.19/0.51  % (26727)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (26724)Instruction limit reached!
% 0.19/0.51  % (26724)------------------------------
% 0.19/0.51  % (26724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (26724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (26724)Termination reason: Unknown
% 0.19/0.51  % (26724)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (26724)Memory used [KB]: 6140
% 0.19/0.51  % (26724)Time elapsed: 0.007 s
% 0.19/0.51  % (26724)Instructions burned: 8 (million)
% 0.19/0.51  % (26724)------------------------------
% 0.19/0.51  % (26724)------------------------------
% 0.19/0.51  % (26732)Refutation not found, incomplete strategy% (26732)------------------------------
% 0.19/0.51  % (26732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (26732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (26732)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (26732)Memory used [KB]: 1791
% 0.19/0.51  % (26732)Time elapsed: 0.012 s
% 0.19/0.51  % (26732)Instructions burned: 11 (million)
% 0.19/0.51  % (26732)------------------------------
% 0.19/0.51  % (26732)------------------------------
% 0.19/0.51  % (26720)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (26710)Refutation not found, incomplete strategy% (26710)------------------------------
% 0.19/0.52  % (26710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (26710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (26710)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (26710)Memory used [KB]: 5884
% 0.19/0.52  % (26710)Time elapsed: 0.002 s
% 0.19/0.52  % (26710)Instructions burned: 1 (million)
% 0.19/0.52  % (26710)------------------------------
% 0.19/0.52  % (26710)------------------------------
% 0.19/0.52  % (26720)Instruction limit reached!
% 0.19/0.52  % (26720)------------------------------
% 0.19/0.52  % (26720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (26709)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (26727)Refutation not found, incomplete strategy% (26727)------------------------------
% 0.19/0.52  % (26727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (26727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (26727)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (26727)Memory used [KB]: 5884
% 0.19/0.52  % (26727)Time elapsed: 0.002 s
% 0.19/0.52  % (26727)Instructions burned: 1 (million)
% 0.19/0.52  % (26727)------------------------------
% 0.19/0.52  % (26727)------------------------------
% 0.19/0.52  % (26720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (26720)Termination reason: Unknown
% 0.19/0.52  % (26720)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (26720)Memory used [KB]: 1535
% 0.19/0.52  % (26720)Time elapsed: 0.004 s
% 0.19/0.52  % (26720)Instructions burned: 7 (million)
% 0.19/0.52  % (26720)------------------------------
% 0.19/0.52  % (26720)------------------------------
% 0.19/0.52  % (26715)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (26715)Refutation not found, incomplete strategy% (26715)------------------------------
% 0.19/0.52  % (26715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (26715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (26715)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (26715)Memory used [KB]: 5884
% 0.19/0.52  % (26715)Time elapsed: 0.003 s
% 0.19/0.52  % (26715)Instructions burned: 3 (million)
% 0.19/0.52  % (26715)------------------------------
% 0.19/0.52  % (26715)------------------------------
% 0.19/0.52  % (26714)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (26713)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (26713)Refutation not found, incomplete strategy% (26713)------------------------------
% 0.19/0.53  % (26713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26713)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (26713)Memory used [KB]: 5884
% 0.19/0.53  % (26713)Time elapsed: 0.002 s
% 0.19/0.53  % (26713)Instructions burned: 2 (million)
% 0.19/0.53  % (26713)------------------------------
% 0.19/0.53  % (26713)------------------------------
% 0.19/0.53  % (26712)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (26712)Refutation not found, incomplete strategy% (26712)------------------------------
% 0.19/0.53  % (26712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26712)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (26712)Memory used [KB]: 5884
% 0.19/0.53  % (26712)Time elapsed: 0.001 s
% 0.19/0.53  % (26712)------------------------------
% 0.19/0.53  % (26712)------------------------------
% 0.19/0.53  % (26733)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (26731)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53  % (26725)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (26723)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (26711)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (26722)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (26722)Refutation not found, incomplete strategy% (26722)------------------------------
% 0.19/0.53  % (26722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26722)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (26722)Memory used [KB]: 5884
% 0.19/0.53  % (26722)Time elapsed: 0.002 s
% 0.19/0.53  % (26722)Instructions burned: 3 (million)
% 0.19/0.53  % (26722)------------------------------
% 0.19/0.53  % (26722)------------------------------
% 0.19/0.53  % (26711)Instruction limit reached!
% 0.19/0.53  % (26711)------------------------------
% 0.19/0.53  % (26711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26711)Termination reason: Unknown
% 0.19/0.53  % (26711)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (26711)Memory used [KB]: 1535
% 0.19/0.53  % (26711)Time elapsed: 0.003 s
% 0.19/0.53  % (26711)Instructions burned: 6 (million)
% 0.19/0.53  % (26711)------------------------------
% 0.19/0.53  % (26711)------------------------------
% 0.19/0.53  % (26721)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.54  % (26718)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54  % (26723)Instruction limit reached!
% 0.19/0.54  % (26723)------------------------------
% 0.19/0.54  % (26723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26723)Termination reason: Unknown
% 0.19/0.54  % (26723)Termination phase: Clausification
% 0.19/0.54  
% 0.19/0.54  % (26723)Memory used [KB]: 1535
% 0.19/0.54  % (26723)Time elapsed: 0.004 s
% 0.19/0.54  % (26723)Instructions burned: 3 (million)
% 0.19/0.54  % (26723)------------------------------
% 0.19/0.54  % (26723)------------------------------
% 0.19/0.54  % (26718)Refutation not found, incomplete strategy% (26718)------------------------------
% 0.19/0.54  % (26718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26718)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (26718)Memory used [KB]: 5884
% 0.19/0.54  % (26718)Time elapsed: 0.002 s
% 0.19/0.54  % (26718)Instructions burned: 1 (million)
% 0.19/0.54  % (26718)------------------------------
% 0.19/0.54  % (26718)------------------------------
% 0.19/0.54  % (26736)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54  % (26730)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (26721)Refutation not found, incomplete strategy% (26721)------------------------------
% 0.19/0.54  % (26721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26721)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (26721)Memory used [KB]: 1663
% 0.19/0.54  % (26721)Time elapsed: 0.005 s
% 0.19/0.54  % (26721)Instructions burned: 11 (million)
% 0.19/0.54  % (26721)------------------------------
% 0.19/0.54  % (26721)------------------------------
% 0.19/0.54  % (26726)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (26726)Instruction limit reached!
% 0.19/0.54  % (26726)------------------------------
% 0.19/0.54  % (26726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26726)Termination reason: Unknown
% 0.19/0.54  % (26726)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (26726)Memory used [KB]: 1535
% 0.19/0.54  % (26726)Time elapsed: 0.003 s
% 0.19/0.54  % (26726)Instructions burned: 4 (million)
% 0.19/0.54  % (26726)------------------------------
% 0.19/0.54  % (26726)------------------------------
% 0.19/0.54  % (26738)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54  % (26738)Refutation not found, incomplete strategy% (26738)------------------------------
% 0.19/0.54  % (26738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26738)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (26738)Memory used [KB]: 5884
% 0.19/0.54  % (26738)Time elapsed: 0.002 s
% 0.19/0.54  % (26738)------------------------------
% 0.19/0.54  % (26738)------------------------------
% 0.19/0.54  % (26719)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.54  % (26737)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54  % (26728)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54  % (26734)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54  % (26728)Refutation not found, incomplete strategy% (26728)------------------------------
% 0.19/0.54  % (26728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26728)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (26728)Memory used [KB]: 5884
% 0.19/0.54  % (26728)Time elapsed: 0.003 s
% 0.19/0.54  % (26728)------------------------------
% 0.19/0.54  % (26728)------------------------------
% 0.19/0.55  % (26735)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (26737)Instruction limit reached!
% 0.19/0.55  % (26737)------------------------------
% 0.19/0.55  % (26737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (26714)Refutation not found, incomplete strategy% (26714)------------------------------
% 0.19/0.55  % (26714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (26714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (26714)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (26714)Memory used [KB]: 1663
% 0.19/0.55  % (26714)Time elapsed: 0.007 s
% 0.19/0.55  % (26714)Instructions burned: 9 (million)
% 0.19/0.55  % (26714)------------------------------
% 0.19/0.55  % (26714)------------------------------
% 0.19/0.55  % (26733)Refutation not found, incomplete strategy% (26733)------------------------------
% 0.19/0.55  % (26733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (26733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (26733)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (26733)Memory used [KB]: 6396
% 0.19/0.55  % (26733)Time elapsed: 0.144 s
% 0.19/0.55  % (26733)Instructions burned: 16 (million)
% 0.19/0.55  % (26733)------------------------------
% 0.19/0.55  % (26733)------------------------------
% 0.19/0.55  % (26729)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.55  % (26729)Refutation not found, incomplete strategy% (26729)------------------------------
% 0.19/0.55  % (26729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (26716)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.56  % (26737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26729)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (26729)Memory used [KB]: 5884
% 0.19/0.56  % (26729)Time elapsed: 0.003 s
% 0.19/0.56  % (26729)Instructions burned: 2 (million)
% 0.19/0.56  % (26729)------------------------------
% 0.19/0.56  % (26729)------------------------------
% 0.19/0.56  % (26737)Termination reason: Unknown
% 0.19/0.56  % (26737)Termination phase: Property scanning
% 0.19/0.56  
% 0.19/0.56  % (26737)Memory used [KB]: 1535
% 0.19/0.56  % (26737)Time elapsed: 0.006 s
% 0.19/0.56  % (26737)Instructions burned: 8 (million)
% 0.19/0.56  % (26737)------------------------------
% 0.19/0.56  % (26737)------------------------------
% 0.19/0.56  % (26725)Refutation not found, incomplete strategy% (26725)------------------------------
% 0.19/0.56  % (26725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26725)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (26725)Memory used [KB]: 6396
% 0.19/0.56  % (26725)Time elapsed: 0.010 s
% 0.19/0.56  % (26725)Instructions burned: 17 (million)
% 0.19/0.56  % (26725)------------------------------
% 0.19/0.56  % (26725)------------------------------
% 0.19/0.56  % (26719)Refutation not found, incomplete strategy% (26719)------------------------------
% 0.19/0.56  % (26719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26719)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (26719)Memory used [KB]: 6140
% 0.19/0.56  % (26719)Time elapsed: 0.006 s
% 0.19/0.56  % (26719)Instructions burned: 10 (million)
% 0.19/0.56  % (26719)------------------------------
% 0.19/0.56  % (26719)------------------------------
% 0.19/0.56  % (26716)Refutation not found, incomplete strategy% (26716)------------------------------
% 0.19/0.56  % (26716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26716)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (26716)Memory used [KB]: 6268
% 0.19/0.56  % (26716)Time elapsed: 0.007 s
% 0.19/0.56  % (26716)Instructions burned: 12 (million)
% 0.19/0.56  % (26716)------------------------------
% 0.19/0.56  % (26716)------------------------------
% 0.19/0.56  % (26730)Refutation not found, incomplete strategy% (26730)------------------------------
% 0.19/0.56  % (26730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26730)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (26730)Memory used [KB]: 6268
% 0.19/0.56  % (26730)Time elapsed: 0.007 s
% 0.19/0.56  % (26730)Instructions burned: 11 (million)
% 0.19/0.56  % (26730)------------------------------
% 0.19/0.56  % (26730)------------------------------
% 1.68/0.57  % (26736)Instruction limit reached!
% 1.68/0.57  % (26736)------------------------------
% 1.68/0.57  % (26736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.57  % (26736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57  % (26736)Termination reason: Unknown
% 1.68/0.57  % (26736)Termination phase: Saturation
% 1.68/0.57  
% 1.68/0.57  % (26736)Memory used [KB]: 6396
% 1.68/0.57  % (26736)Time elapsed: 0.172 s
% 1.68/0.57  % (26736)Instructions burned: 25 (million)
% 1.68/0.57  % (26736)------------------------------
% 1.68/0.57  % (26736)------------------------------
% 1.68/0.57  % (26735)Refutation not found, incomplete strategy% (26735)------------------------------
% 1.68/0.57  % (26735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58  % (26735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58  % (26735)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.58  
% 1.79/0.58  % (26735)Memory used [KB]: 6396
% 1.79/0.58  % (26735)Time elapsed: 0.012 s
% 1.79/0.58  % (26735)Instructions burned: 15 (million)
% 1.79/0.58  % (26735)------------------------------
% 1.79/0.58  % (26735)------------------------------
% 1.79/0.62  % (26838)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.08/0.63  % (26829)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.08/0.64  % (26734)First to succeed.
% 2.08/0.64  % (26827)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.08/0.64  % (26827)Refutation not found, incomplete strategy% (26827)------------------------------
% 2.08/0.64  % (26827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64  % (26827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64  % (26827)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.64  
% 2.08/0.64  % (26827)Memory used [KB]: 5884
% 2.08/0.64  % (26827)Time elapsed: 0.002 s
% 2.08/0.64  % (26827)Instructions burned: 2 (million)
% 2.08/0.64  % (26827)------------------------------
% 2.08/0.64  % (26827)------------------------------
% 2.20/0.65  % (26831)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.20/0.65  % (26829)Refutation not found, incomplete strategy% (26829)------------------------------
% 2.20/0.65  % (26829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (26829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (26829)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.65  
% 2.20/0.65  % (26829)Memory used [KB]: 10362
% 2.20/0.65  % (26829)Time elapsed: 0.003 s
% 2.20/0.65  % (26829)Instructions burned: 2 (million)
% 2.20/0.65  % (26829)------------------------------
% 2.20/0.65  % (26829)------------------------------
% 2.20/0.65  % (26831)Refutation not found, incomplete strategy% (26831)------------------------------
% 2.20/0.65  % (26831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (26831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (26831)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.65  
% 2.20/0.65  % (26831)Memory used [KB]: 1791
% 2.20/0.65  % (26831)Time elapsed: 0.006 s
% 2.20/0.65  % (26831)Instructions burned: 11 (million)
% 2.20/0.65  % (26831)------------------------------
% 2.20/0.65  % (26831)------------------------------
% 2.20/0.65  % (26830)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.20/0.65  % (26843)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.20/0.65  % (26830)Refutation not found, incomplete strategy% (26830)------------------------------
% 2.20/0.65  % (26830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (26830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (26830)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.65  
% 2.20/0.65  % (26830)Memory used [KB]: 5884
% 2.20/0.65  % (26830)Time elapsed: 0.004 s
% 2.20/0.65  % (26830)Instructions burned: 1 (million)
% 2.20/0.65  % (26830)------------------------------
% 2.20/0.65  % (26830)------------------------------
% 2.20/0.66  % (26835)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.20/0.66  % (26845)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/131Mi)
% 2.20/0.66  % (26835)Refutation not found, incomplete strategy% (26835)------------------------------
% 2.20/0.66  % (26835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66  % (26835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66  % (26835)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.66  
% 2.20/0.66  % (26835)Memory used [KB]: 5884
% 2.20/0.66  % (26835)Time elapsed: 0.002 s
% 2.20/0.66  % (26835)Instructions burned: 1 (million)
% 2.20/0.66  % (26835)------------------------------
% 2.20/0.66  % (26835)------------------------------
% 2.20/0.66  % (26845)Refutation not found, incomplete strategy% (26845)------------------------------
% 2.20/0.66  % (26845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66  % (26845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66  % (26845)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.66  
% 2.20/0.66  % (26845)Memory used [KB]: 5884
% 2.20/0.66  % (26845)Time elapsed: 0.003 s
% 2.20/0.66  % (26845)Instructions burned: 2 (million)
% 2.20/0.66  % (26845)------------------------------
% 2.20/0.66  % (26845)------------------------------
% 2.20/0.66  % (26834)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.20/0.66  % (26855)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 2.20/0.66  % (26834)Refutation not found, incomplete strategy% (26834)------------------------------
% 2.20/0.66  % (26834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66  % (26834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66  % (26834)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.66  
% 2.20/0.66  % (26834)Memory used [KB]: 5884
% 2.20/0.66  % (26834)Time elapsed: 0.002 s
% 2.20/0.66  % (26834)Instructions burned: 2 (million)
% 2.20/0.66  % (26834)------------------------------
% 2.20/0.66  % (26834)------------------------------
% 2.20/0.66  % (26855)Refutation not found, incomplete strategy% (26855)------------------------------
% 2.20/0.66  % (26855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66  % (26855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66  % (26855)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.66  
% 2.20/0.66  % (26855)Memory used [KB]: 5884
% 2.20/0.66  % (26855)Time elapsed: 0.004 s
% 2.20/0.66  % (26855)------------------------------
% 2.20/0.66  % (26855)------------------------------
% 2.20/0.66  % (26840)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.20/0.66  % (26734)Refutation found. Thanks to Tanya!
% 2.20/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.20/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.67  % (26734)------------------------------
% 2.20/0.67  % (26734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67  % (26734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67  % (26734)Termination reason: Refutation
% 2.20/0.67  
% 2.20/0.67  % (26734)Memory used [KB]: 7036
% 2.20/0.67  % (26734)Time elapsed: 0.036 s
% 2.20/0.67  % (26734)Instructions burned: 54 (million)
% 2.20/0.67  % (26734)------------------------------
% 2.20/0.67  % (26734)------------------------------
% 2.20/0.67  % (26702)Success in time 0.321 s
%------------------------------------------------------------------------------