TSTP Solution File: ALG145+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG145+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 15:40:01 EDT 2022

% Result   : Unsatisfiable 2.42s 0.75s
% Output   : Refutation 2.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  152
% Syntax   : Number of formulae    : 1432 (  55 unt;   0 def)
%            Number of atoms       : 4361 (1759 equ)
%            Maximal formula atoms :  176 (   3 avg)
%            Number of connectives : 5335 (2406   ~;2416   |; 397   &)
%                                         ( 116 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  133 ( 131 usr; 132 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3626,plain,
    $false,
    inference(avatar_sat_refutation,[],[f340,f349,f358,f371,f388,f393,f402,f407,f412,f457,f470,f479,f484,f501,f511,f512,f517,f522,f523,f528,f541,f554,f567,f568,f586,f603,f617,f626,f632,f638,f644,f649,f650,f651,f660,f665,f666,f671,f672,f673,f679,f688,f703,f704,f709,f710,f711,f725,f730,f731,f732,f734,f744,f745,f746,f751,f752,f757,f758,f767,f772,f774,f775,f776,f781,f782,f783,f785,f794,f799,f808,f809,f814,f820,f821,f826,f827,f828,f833,f834,f835,f841,f842,f843,f848,f849,f850,f851,f852,f857,f858,f864,f865,f866,f867,f872,f873,f874,f875,f876,f883,f884,f885,f886,f893,f899,f904,f905,f906,f907,f908,f909,f915,f916,f918,f923,f928,f929,f930,f931,f932,f933,f934,f935,f937,f938,f939,f940,f941,f942,f943,f948,f953,f954,f955,f956,f957,f963,f965,f966,f967,f968,f969,f970,f971,f972,f974,f975,f976,f977,f978,f985,f989,f990,f998,f999,f1000,f1001,f1002,f1011,f1013,f1014,f1017,f1022,f1023,f1025,f1028,f1041,f1044,f1051,f1052,f1054,f1056,f1060,f1061,f1062,f1068,f1070,f1071,f1073,f1080,f1082,f1083,f1084,f1085,f1092,f1105,f1110,f1114,f1116,f1119,f1122,f1125,f1128,f1132,f1136,f1143,f1148,f1150,f1157,f1160,f1169,f1175,f1184,f1188,f1194,f1204,f1216,f1218,f1223,f1232,f1237,f1247,f1249,f1253,f1255,f1259,f1261,f1275,f1283,f1286,f1289,f1303,f1311,f1324,f1347,f1355,f1361,f1367,f1370,f1386,f1410,f1425,f1432,f1438,f1455,f1460,f1463,f1469,f1470,f1471,f1475,f1482,f1490,f1495,f1502,f1511,f1514,f1515,f1516,f1523,f1525,f1543,f1546,f1552,f1559,f1562,f1567,f1573,f1579,f1581,f1584,f1589,f1621,f1628,f1631,f1638,f1643,f1652,f1658,f1663,f1667,f1671,f1679,f1706,f1712,f1715,f1719,f1722,f1755,f1759,f1762,f1778,f1785,f1787,f1790,f1801,f1807,f1811,f1820,f1824,f1836,f1843,f1862,f1868,f1889,f1904,f1908,f1919,f1921,f1930,f1938,f1942,f1948,f1962,f1965,f1970,f1987,f1995,f1998,f2002,f2006,f2009,f2012,f2021,f2026,f2033,f2050,f2059,f2061,f2063,f2085,f2113,f2121,f2136,f2161,f2173,f2185,f2191,f2195,f2201,f2204,f2206,f2211,f2216,f2220,f2231,f2233,f2237,f2288,f2293,f2307,f2317,f2321,f2329,f2345,f2353,f2366,f2378,f2381,f2382,f2384,f2390,f2392,f2398,f2403,f2410,f2413,f2418,f2424,f2431,f2440,f2458,f2461,f2467,f2477,f2481,f2501,f2506,f2510,f2521,f2541,f2542,f2550,f2554,f2612,f2619,f2639,f2647,f2671,f2680,f2687,f2700,f2704,f2708,f2711,f2712,f2737,f2749,f2786,f2794,f2797,f2815,f2832,f2844,f2848,f2855,f2864,f2875,f2883,f2924,f2926,f2935,f2947,f2954,f2967,f2980,f2984,f2990,f2998,f3003,f3006,f3018,f3025,f3034,f3039,f3056,f3059,f3066,f3090,f3096,f3105,f3108,f3114,f3117,f3120,f3150,f3154,f3166,f3179,f3182,f3184,f3188,f3217,f3226,f3228,f3237,f3252,f3273,f3283,f3295,f3308,f3311,f3313,f3316,f3318,f3321,f3334,f3355,f3388,f3390,f3393,f3428,f3432,f3441,f3446,f3450,f3459,f3474,f3483,f3492,f3494,f3510,f3529,f3560,f3563,f3565,f3568,f3575,f3584,f3588,f3608,f3619]) ).

fof(f3619,plain,
    ( ~ spl15_55
    | ~ spl15_60 ),
    inference(avatar_contradiction_clause,[],[f3618]) ).

fof(f3618,plain,
    ( $false
    | ~ spl15_55
    | ~ spl15_60 ),
    inference(subsumption_resolution,[],[f3617,f275]) ).

fof(f275,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f3617,plain,
    ( e1 = e2
    | ~ spl15_55
    | ~ spl15_60 ),
    inference(forward_demodulation,[],[f590,f566]) ).

fof(f566,plain,
    ( op(e0,e0) = e1
    | ~ spl15_55 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f564,plain,
    ( spl15_55
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).

fof(f590,plain,
    ( op(e0,e0) = e2
    | ~ spl15_60 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f588,plain,
    ( spl15_60
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).

fof(f3608,plain,
    ( ~ spl15_57
    | ~ spl15_61
    | spl15_110 ),
    inference(avatar_contradiction_clause,[],[f3607]) ).

fof(f3607,plain,
    ( $false
    | ~ spl15_57
    | ~ spl15_61
    | spl15_110 ),
    inference(subsumption_resolution,[],[f3605,f577]) ).

fof(f577,plain,
    ( e0 = op(e2,e1)
    | ~ spl15_57 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl15_57
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).

fof(f3605,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_61
    | spl15_110 ),
    inference(backward_demodulation,[],[f880,f594]) ).

fof(f594,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_61 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl15_61
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).

fof(f880,plain,
    ( e0 != op(op(e1,e1),e1)
    | spl15_110 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f878,plain,
    ( spl15_110
  <=> e0 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_110])]) ).

fof(f3588,plain,
    ( ~ spl15_74
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f3587,f564,f657]) ).

fof(f657,plain,
    ( spl15_74
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).

fof(f3587,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_55 ),
    inference(forward_demodulation,[],[f96,f566]) ).

fof(f96,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f3584,plain,
    ( ~ spl15_53
    | ~ spl15_55 ),
    inference(avatar_contradiction_clause,[],[f3583]) ).

fof(f3583,plain,
    ( $false
    | ~ spl15_53
    | ~ spl15_55 ),
    inference(subsumption_resolution,[],[f3582,f566]) ).

fof(f3582,plain,
    ( op(e0,e0) != e1
    | ~ spl15_53 ),
    inference(forward_demodulation,[],[f109,f558]) ).

fof(f558,plain,
    ( e1 = op(e0,e2)
    | ~ spl15_53 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl15_53
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).

fof(f109,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3575,plain,
    ( ~ spl15_48
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f3574,f801,f534]) ).

fof(f534,plain,
    ( spl15_48
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).

fof(f801,plain,
    ( spl15_99
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).

fof(f3574,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_99 ),
    inference(forward_demodulation,[],[f91,f803]) ).

fof(f803,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_99 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f91,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3568,plain,
    ( ~ spl15_62
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f3567,f494,f596]) ).

fof(f596,plain,
    ( spl15_62
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).

fof(f494,plain,
    ( spl15_40
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).

fof(f3567,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_40 ),
    inference(forward_demodulation,[],[f95,f496]) ).

fof(f496,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_40 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f95,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3565,plain,
    ( spl15_61
    | ~ spl15_55
    | ~ spl15_92 ),
    inference(avatar_split_clause,[],[f3564,f760,f564,f592]) ).

fof(f760,plain,
    ( spl15_92
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).

fof(f3564,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_55
    | ~ spl15_92 ),
    inference(forward_demodulation,[],[f761,f566]) ).

fof(f761,plain,
    ( e2 = op(op(e0,e0),op(e0,e0))
    | ~ spl15_92 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f3563,plain,
    ( ~ spl15_62
    | ~ spl15_45 ),
    inference(avatar_split_clause,[],[f3504,f519,f596]) ).

fof(f519,plain,
    ( spl15_45
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).

fof(f3504,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_45 ),
    inference(forward_demodulation,[],[f133,f521]) ).

fof(f521,plain,
    ( e2 = op(e3,e2)
    | ~ spl15_45 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f133,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3560,plain,
    ( ~ spl15_52
    | ~ spl15_55
    | spl15_93 ),
    inference(avatar_split_clause,[],[f3559,f764,f564,f551]) ).

fof(f551,plain,
    ( spl15_52
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).

fof(f764,plain,
    ( spl15_93
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).

fof(f3559,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_55
    | spl15_93 ),
    inference(forward_demodulation,[],[f766,f566]) ).

fof(f766,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl15_93 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f3529,plain,
    ( ~ spl15_11
    | spl15_68
    | ~ spl15_76 ),
    inference(avatar_contradiction_clause,[],[f3528]) ).

fof(f3528,plain,
    ( $false
    | ~ spl15_11
    | spl15_68
    | ~ spl15_76 ),
    inference(subsumption_resolution,[],[f3527,f624]) ).

fof(f624,plain,
    ( e0 != op(e3,e3)
    | spl15_68 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f623,plain,
    ( spl15_68
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).

fof(f3527,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_11
    | ~ spl15_76 ),
    inference(forward_demodulation,[],[f369,f670]) ).

fof(f670,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_76 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f668,plain,
    ( spl15_76
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).

fof(f369,plain,
    ( e0 = op(op(e3,e3),op(e3,e3))
    | ~ spl15_11 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f368,plain,
    ( spl15_11
  <=> e0 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f3510,plain,
    ( ~ spl15_41
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f3507,f494,f498]) ).

fof(f498,plain,
    ( spl15_41
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).

fof(f3507,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_40 ),
    inference(backward_demodulation,[],[f103,f496]) ).

fof(f103,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3494,plain,
    ( ~ spl15_48
    | ~ spl15_75
    | spl15_78 ),
    inference(avatar_split_clause,[],[f3493,f681,f662,f534]) ).

fof(f662,plain,
    ( spl15_75
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).

fof(f681,plain,
    ( spl15_78
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).

fof(f3493,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_75
    | spl15_78 ),
    inference(forward_demodulation,[],[f683,f664]) ).

fof(f664,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_75 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f683,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | spl15_78 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f3492,plain,
    ( ~ spl15_48
    | ~ spl15_55
    | spl15_112 ),
    inference(avatar_split_clause,[],[f3491,f895,f564,f534]) ).

fof(f895,plain,
    ( spl15_112
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_112])]) ).

fof(f3491,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_55
    | spl15_112 ),
    inference(backward_demodulation,[],[f897,f566]) ).

fof(f897,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl15_112 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f3483,plain,
    ( ~ spl15_95
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f3482,f817,f778]) ).

fof(f778,plain,
    ( spl15_95
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).

fof(f817,plain,
    ( spl15_102
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).

fof(f3482,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_102 ),
    inference(backward_demodulation,[],[f94,f819]) ).

fof(f819,plain,
    ( e3 = op(e0,e2)
    | ~ spl15_102 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f94,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3474,plain,
    ( ~ spl15_60
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f3345,f543,f588]) ).

fof(f543,plain,
    ( spl15_50
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).

fof(f3345,plain,
    ( op(e0,e0) != e2
    | ~ spl15_50 ),
    inference(forward_demodulation,[],[f117,f545]) ).

fof(f545,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_50 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f117,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3459,plain,
    ( ~ spl15_66
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f3456,f575,f614]) ).

fof(f614,plain,
    ( spl15_66
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).

fof(f3456,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_57 ),
    inference(backward_demodulation,[],[f111,f577]) ).

fof(f111,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3450,plain,
    ( ~ spl15_59
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f3449,f653,f583]) ).

fof(f583,plain,
    ( spl15_59
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).

fof(f653,plain,
    ( spl15_73
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).

fof(f3449,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_73 ),
    inference(backward_demodulation,[],[f105,f655]) ).

fof(f655,plain,
    ( e3 = op(e2,e0)
    | ~ spl15_73 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f105,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3446,plain,
    ( ~ spl15_41
    | ~ spl15_45 ),
    inference(avatar_split_clause,[],[f3445,f519,f498]) ).

fof(f3445,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_45 ),
    inference(forward_demodulation,[],[f130,f521]) ).

fof(f130,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3441,plain,
    ( ~ spl15_36
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f3437,f662,f476]) ).

fof(f476,plain,
    ( spl15_36
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

fof(f3437,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_75 ),
    inference(backward_demodulation,[],[f95,f664]) ).

fof(f3432,plain,
    ( ~ spl15_104
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f3431,f635,f830]) ).

fof(f830,plain,
    ( spl15_104
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_104])]) ).

fof(f635,plain,
    ( spl15_70
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).

fof(f3431,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_70 ),
    inference(backward_demodulation,[],[f125,f637]) ).

fof(f637,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_70 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f125,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3428,plain,
    ( ~ spl15_91
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f3427,f805,f754]) ).

fof(f754,plain,
    ( spl15_91
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).

fof(f805,plain,
    ( spl15_100
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).

fof(f3427,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_100 ),
    inference(backward_demodulation,[],[f90,f807]) ).

fof(f807,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_100 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f90,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3393,plain,
    ( ~ spl15_91
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f3193,f596,f754]) ).

fof(f3193,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_62 ),
    inference(forward_demodulation,[],[f110,f598]) ).

fof(f598,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_62 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f110,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3390,plain,
    ( ~ spl15_53
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f3389,f381,f556]) ).

fof(f381,plain,
    ( spl15_14
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f3389,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_14 ),
    inference(forward_demodulation,[],[f112,f383]) ).

fof(f383,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f112,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3388,plain,
    ( spl15_9
    | ~ spl15_10
    | ~ spl15_39 ),
    inference(avatar_contradiction_clause,[],[f3387]) ).

fof(f3387,plain,
    ( $false
    | spl15_9
    | ~ spl15_10
    | ~ spl15_39 ),
    inference(subsumption_resolution,[],[f3386,f492]) ).

fof(f492,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_39 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl15_39
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).

fof(f3386,plain,
    ( e2 != op(e1,e3)
    | spl15_9
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f362,f365]) ).

fof(f365,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl15_10
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f362,plain,
    ( e2 != op(op(e3,e3),e3)
    | spl15_9 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl15_9
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f3355,plain,
    ( ~ spl15_39
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f3354]) ).

fof(f3354,plain,
    ( $false
    | ~ spl15_39
    | ~ spl15_50 ),
    inference(subsumption_resolution,[],[f3353,f545]) ).

fof(f3353,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_39 ),
    inference(forward_demodulation,[],[f136,f492]) ).

fof(f136,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3334,plain,
    ( ~ spl15_61
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f3333,f901,f592]) ).

fof(f901,plain,
    ( spl15_113
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_113])]) ).

fof(f3333,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f114,f903]) ).

fof(f903,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_113 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f114,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3321,plain,
    ( ~ spl15_46
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f3320,f463,f525]) ).

fof(f525,plain,
    ( spl15_46
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).

fof(f463,plain,
    ( spl15_33
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).

fof(f3320,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_33 ),
    inference(forward_demodulation,[],[f96,f465]) ).

fof(f465,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_33 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f3318,plain,
    ( ~ spl15_98
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f3317,f901,f796]) ).

fof(f796,plain,
    ( spl15_98
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).

fof(f3317,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f121,f903]) ).

fof(f121,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3316,plain,
    ( spl15_73
    | ~ spl15_66
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f3315,f700,f614,f653]) ).

fof(f700,plain,
    ( spl15_82
  <=> e3 = op(e2,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).

fof(f3315,plain,
    ( e3 = op(e2,e0)
    | ~ spl15_66
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f701,f616]) ).

fof(f616,plain,
    ( e0 = op(e2,e3)
    | ~ spl15_66 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f701,plain,
    ( e3 = op(e2,op(e2,e3))
    | ~ spl15_82 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f3313,plain,
    ( ~ spl15_34
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f3312,f463,f467]) ).

fof(f467,plain,
    ( spl15_34
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

fof(f3312,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_33 ),
    inference(backward_demodulation,[],[f109,f465]) ).

fof(f3311,plain,
    ( ~ spl15_58
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f3310,f901,f579]) ).

fof(f579,plain,
    ( spl15_58
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).

fof(f3310,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_113 ),
    inference(backward_demodulation,[],[f113,f903]) ).

fof(f113,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3308,plain,
    ( ~ spl15_14
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f3307]) ).

fof(f3307,plain,
    ( $false
    | ~ spl15_14
    | ~ spl15_86 ),
    inference(subsumption_resolution,[],[f3306,f273]) ).

fof(f273,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f3306,plain,
    ( e1 = e3
    | ~ spl15_14
    | ~ spl15_86 ),
    inference(forward_demodulation,[],[f724,f383]) ).

fof(f724,plain,
    ( e3 = op(e1,e2)
    | ~ spl15_86 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl15_86
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).

fof(f3295,plain,
    ( ~ spl15_36
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f3294,f364,f476]) ).

fof(f3294,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f103,f365]) ).

fof(f3283,plain,
    ( ~ spl15_55
    | ~ spl15_61
    | spl15_92 ),
    inference(avatar_contradiction_clause,[],[f3282]) ).

fof(f3282,plain,
    ( $false
    | ~ spl15_55
    | ~ spl15_61
    | spl15_92 ),
    inference(subsumption_resolution,[],[f3279,f594]) ).

fof(f3279,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_55
    | spl15_92 ),
    inference(backward_demodulation,[],[f762,f566]) ).

fof(f762,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl15_92 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f3273,plain,
    ( spl15_14
    | ~ spl15_37
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f3272,f592,f481,f381]) ).

fof(f481,plain,
    ( spl15_37
  <=> e1 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).

fof(f3272,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_37
    | ~ spl15_61 ),
    inference(forward_demodulation,[],[f482,f594]) ).

fof(f482,plain,
    ( e1 = op(e1,op(e1,e1))
    | ~ spl15_37 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f3252,plain,
    ( ~ spl15_84
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f3251,f592,f714]) ).

fof(f714,plain,
    ( spl15_84
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).

fof(f3251,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_61 ),
    inference(forward_demodulation,[],[f104,f594]) ).

fof(f104,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3237,plain,
    ( ~ spl15_60
    | ~ spl15_98 ),
    inference(avatar_split_clause,[],[f3235,f796,f588]) ).

fof(f3235,plain,
    ( op(e0,e0) != e2
    | ~ spl15_98 ),
    inference(backward_demodulation,[],[f123,f798]) ).

fof(f798,plain,
    ( e2 = op(e3,e0)
    | ~ spl15_98 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f123,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3228,plain,
    ( ~ spl15_90
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f3220,f364,f748]) ).

fof(f748,plain,
    ( spl15_90
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).

fof(f3220,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f118,f365]) ).

fof(f118,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3226,plain,
    ( ~ spl15_61
    | ~ spl15_10
    | spl15_116 ),
    inference(avatar_split_clause,[],[f3224,f925,f364,f592]) ).

fof(f925,plain,
    ( spl15_116
  <=> e2 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_116])]) ).

fof(f3224,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_10
    | spl15_116 ),
    inference(backward_demodulation,[],[f927,f365]) ).

fof(f927,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | spl15_116 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f3217,plain,
    ( ~ spl15_84
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f3216,f596,f714]) ).

fof(f3216,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_62 ),
    inference(forward_demodulation,[],[f99,f598]) ).

fof(f99,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3188,plain,
    ( ~ spl15_102
    | ~ spl15_38
    | spl15_64 ),
    inference(avatar_split_clause,[],[f3187,f605,f486,f817]) ).

fof(f486,plain,
    ( spl15_38
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).

fof(f605,plain,
    ( spl15_64
  <=> e3 = op(e0,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).

fof(f3187,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_38
    | spl15_64 ),
    inference(forward_demodulation,[],[f607,f488]) ).

fof(f488,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_38 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f607,plain,
    ( e3 != op(e0,op(e0,e3))
    | spl15_64 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f3184,plain,
    ( ~ spl15_60
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f3183,f486,f588]) ).

fof(f3183,plain,
    ( op(e0,e0) != e2
    | ~ spl15_38 ),
    inference(forward_demodulation,[],[f135,f488]) ).

fof(f135,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3182,plain,
    ( ~ spl15_73
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f3181,f551,f653]) ).

fof(f3181,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_52 ),
    inference(forward_demodulation,[],[f97,f553]) ).

fof(f553,plain,
    ( e3 = op(e1,e0)
    | ~ spl15_52 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f97,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3179,plain,
    ( ~ spl15_100
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f3177,f486,f805]) ).

fof(f3177,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_38 ),
    inference(backward_demodulation,[],[f108,f488]) ).

fof(f108,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3166,plain,
    ( ~ spl15_94
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f3165]) ).

fof(f3165,plain,
    ( $false
    | ~ spl15_94
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f3164,f276]) ).

fof(f276,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f3164,plain,
    ( e0 = e3
    | ~ spl15_94
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f863,f771]) ).

fof(f771,plain,
    ( e0 = op(e1,e3)
    | ~ spl15_94 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl15_94
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).

fof(f863,plain,
    ( e3 = op(e1,e3)
    | ~ spl15_108 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f861,plain,
    ( spl15_108
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_108])]) ).

fof(f3154,plain,
    ( ~ spl15_51
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f3151,f769,f547]) ).

fof(f547,plain,
    ( spl15_51
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).

fof(f3151,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_94 ),
    inference(backward_demodulation,[],[f136,f771]) ).

fof(f3150,plain,
    ( ~ spl15_51
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f3149,f463,f547]) ).

fof(f3149,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_33 ),
    inference(forward_demodulation,[],[f117,f465]) ).

fof(f3120,plain,
    ( ~ spl15_108
    | ~ spl15_95 ),
    inference(avatar_split_clause,[],[f3119,f778,f861]) ).

fof(f3119,plain,
    ( e3 != op(e1,e3)
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f115,f780]) ).

fof(f780,plain,
    ( e3 = op(e0,e3)
    | ~ spl15_95 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f115,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3117,plain,
    ( ~ spl15_50
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f3115,f390,f543]) ).

fof(f390,plain,
    ( spl15_16
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f3115,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_16 ),
    inference(backward_demodulation,[],[f97,f392]) ).

fof(f392,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_16 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f3114,plain,
    ( ~ spl15_13
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f3113,f748,f377]) ).

fof(f377,plain,
    ( spl15_13
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f3113,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_90 ),
    inference(backward_demodulation,[],[f107,f750]) ).

fof(f750,plain,
    ( e1 = op(e3,e0)
    | ~ spl15_90 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f107,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3108,plain,
    ( ~ spl15_34
    | ~ spl15_105 ),
    inference(avatar_split_clause,[],[f3107,f838,f467]) ).

fof(f838,plain,
    ( spl15_105
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_105])]) ).

fof(f3107,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_105 ),
    inference(forward_demodulation,[],[f89,f840]) ).

fof(f840,plain,
    ( e0 = op(e3,e2)
    | ~ spl15_105 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f89,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3105,plain,
    ( ~ spl15_33
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f3104]) ).

fof(f3104,plain,
    ( $false
    | ~ spl15_33
    | ~ spl15_97 ),
    inference(subsumption_resolution,[],[f3103,f274]) ).

fof(f274,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f3103,plain,
    ( e0 = e1
    | ~ spl15_33
    | ~ spl15_97 ),
    inference(forward_demodulation,[],[f3101,f465]) ).

fof(f3101,plain,
    ( op(e0,e0) = e1
    | ~ spl15_33
    | ~ spl15_97 ),
    inference(backward_demodulation,[],[f792,f465]) ).

fof(f792,plain,
    ( e1 = op(op(e0,e0),op(e0,e0))
    | ~ spl15_97 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f791,plain,
    ( spl15_97
  <=> e1 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).

fof(f3096,plain,
    ( ~ spl15_76
    | ~ spl15_95 ),
    inference(avatar_split_clause,[],[f3095,f778,f668]) ).

fof(f3095,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f102,f780]) ).

fof(f102,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3090,plain,
    ( ~ spl15_76
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f3089,f399,f668]) ).

fof(f399,plain,
    ( spl15_18
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f3089,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_18 ),
    inference(forward_demodulation,[],[f119,f401]) ).

fof(f401,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_18 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f119,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3066,plain,
    ( ~ spl15_86
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f3065]) ).

fof(f3065,plain,
    ( $false
    | ~ spl15_86
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f2964,f724]) ).

fof(f2964,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f100,f863]) ).

fof(f100,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3059,plain,
    ( ~ spl15_32
    | spl15_42
    | ~ spl15_55 ),
    inference(avatar_split_clause,[],[f3012,f564,f503,f459]) ).

fof(f459,plain,
    ( spl15_32
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f503,plain,
    ( spl15_42
  <=> e0 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).

fof(f3012,plain,
    ( e0 != op(e0,e1)
    | spl15_42
    | ~ spl15_55 ),
    inference(backward_demodulation,[],[f505,f566]) ).

fof(f505,plain,
    ( e0 != op(e0,op(e0,e0))
    | spl15_42 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f3056,plain,
    ( ~ spl15_32
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f3055,f467,f459]) ).

fof(f3055,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f90,f469]) ).

fof(f469,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_34 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f3039,plain,
    ( ~ spl15_39
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f3038]) ).

fof(f3038,plain,
    ( $false
    | ~ spl15_39
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f3037,f277]) ).

fof(f277,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f3037,plain,
    ( e2 = e3
    | ~ spl15_39
    | ~ spl15_108 ),
    inference(backward_demodulation,[],[f863,f492]) ).

fof(f3034,plain,
    ( ~ spl15_58
    | ~ spl15_62 ),
    inference(avatar_split_clause,[],[f3033,f596,f579]) ).

fof(f3033,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_62 ),
    inference(forward_demodulation,[],[f106,f598]) ).

fof(f106,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3025,plain,
    ( ~ spl15_38
    | ~ spl15_102
    | spl15_107 ),
    inference(avatar_contradiction_clause,[],[f3024]) ).

fof(f3024,plain,
    ( $false
    | ~ spl15_38
    | ~ spl15_102
    | spl15_107 ),
    inference(subsumption_resolution,[],[f3023,f488]) ).

fof(f3023,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_102
    | spl15_107 ),
    inference(backward_demodulation,[],[f856,f819]) ).

fof(f856,plain,
    ( e2 != op(e0,op(e0,e2))
    | spl15_107 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f854,plain,
    ( spl15_107
  <=> e2 = op(e0,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_107])]) ).

fof(f3018,plain,
    ( ~ spl15_12
    | ~ spl15_55
    | spl15_97 ),
    inference(avatar_contradiction_clause,[],[f3017]) ).

fof(f3017,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_55
    | spl15_97 ),
    inference(subsumption_resolution,[],[f3013,f375]) ).

fof(f375,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl15_12
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f3013,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_55
    | spl15_97 ),
    inference(backward_demodulation,[],[f793,f566]) ).

fof(f793,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | spl15_97 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f3006,plain,
    ( ~ spl15_71
    | ~ spl15_65
    | spl15_78 ),
    inference(avatar_split_clause,[],[f2961,f681,f610,f641]) ).

fof(f641,plain,
    ( spl15_71
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).

fof(f610,plain,
    ( spl15_65
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).

fof(f2961,plain,
    ( op(e0,e0) != e3
    | ~ spl15_65
    | spl15_78 ),
    inference(forward_demodulation,[],[f683,f612]) ).

fof(f612,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_65 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f3003,plain,
    ( ~ spl15_71
    | ~ spl15_73 ),
    inference(avatar_split_clause,[],[f3002,f653,f641]) ).

fof(f3002,plain,
    ( op(e0,e0) != e3
    | ~ spl15_73 ),
    inference(backward_demodulation,[],[f96,f655]) ).

fof(f2998,plain,
    ( ~ spl15_74
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f2997,f476,f657]) ).

fof(f2997,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_36 ),
    inference(forward_demodulation,[],[f124,f478]) ).

fof(f478,plain,
    ( e1 = op(e2,e3)
    | ~ spl15_36 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f124,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2990,plain,
    ( ~ spl15_55
    | ~ spl15_68
    | spl15_115 ),
    inference(avatar_split_clause,[],[f2705,f920,f623,f564]) ).

fof(f920,plain,
    ( spl15_115
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_115])]) ).

fof(f2705,plain,
    ( op(e0,e0) != e1
    | ~ spl15_68
    | spl15_115 ),
    inference(forward_demodulation,[],[f922,f625]) ).

fof(f625,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_68 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f922,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | spl15_115 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f2984,plain,
    ( ~ spl15_16
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f2983,f579,f390]) ).

fof(f2983,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_58 ),
    inference(forward_demodulation,[],[f105,f581]) ).

fof(f581,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_58 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f2980,plain,
    ( ~ spl15_35
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f2979,f476,f472]) ).

fof(f472,plain,
    ( spl15_35
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

fof(f2979,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_36 ),
    inference(forward_demodulation,[],[f116,f478]) ).

fof(f116,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2967,plain,
    ( spl15_9
    | ~ spl15_38
    | ~ spl15_68 ),
    inference(avatar_contradiction_clause,[],[f2966]) ).

fof(f2966,plain,
    ( $false
    | spl15_9
    | ~ spl15_38
    | ~ spl15_68 ),
    inference(subsumption_resolution,[],[f2758,f488]) ).

fof(f2758,plain,
    ( e2 != op(e0,e3)
    | spl15_9
    | ~ spl15_68 ),
    inference(forward_demodulation,[],[f362,f625]) ).

fof(f2954,plain,
    ( ~ spl15_65
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f2953]) ).

fof(f2953,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f2952,f276]) ).

fof(f2952,plain,
    ( e0 = e3
    | ~ spl15_65
    | ~ spl15_83 ),
    inference(forward_demodulation,[],[f708,f612]) ).

fof(f708,plain,
    ( e3 = op(e2,e2)
    | ~ spl15_83 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f706,plain,
    ( spl15_83
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).

fof(f2947,plain,
    ( ~ spl15_4
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f2946,f861,f337]) ).

fof(f337,plain,
    ( spl15_4
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f2946,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f93,f863]) ).

fof(f93,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2935,plain,
    ( ~ spl15_102
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f2933,f641,f817]) ).

fof(f2933,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f109,f643]) ).

fof(f643,plain,
    ( op(e0,e0) = e3
    | ~ spl15_71 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f2926,plain,
    ( ~ spl15_53
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2518,f830,f556]) ).

fof(f2518,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_104 ),
    inference(forward_demodulation,[],[f89,f832]) ).

fof(f832,plain,
    ( e1 = op(e3,e2)
    | ~ spl15_104 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f2924,plain,
    ( ~ spl15_39
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f2922,f486,f490]) ).

fof(f2922,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_38 ),
    inference(backward_demodulation,[],[f115,f488]) ).

fof(f2883,plain,
    ( ~ spl15_84
    | ~ spl15_39 ),
    inference(avatar_split_clause,[],[f2850,f490,f714]) ).

fof(f2850,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_39 ),
    inference(forward_demodulation,[],[f100,f492]) ).

fof(f2875,plain,
    ( ~ spl15_60
    | ~ spl15_68
    | spl15_116 ),
    inference(avatar_contradiction_clause,[],[f2874]) ).

fof(f2874,plain,
    ( $false
    | ~ spl15_60
    | ~ spl15_68
    | spl15_116 ),
    inference(subsumption_resolution,[],[f2873,f590]) ).

fof(f2873,plain,
    ( op(e0,e0) != e2
    | ~ spl15_68
    | spl15_116 ),
    inference(forward_demodulation,[],[f927,f625]) ).

fof(f2864,plain,
    ( ~ spl15_51
    | ~ spl15_52 ),
    inference(avatar_contradiction_clause,[],[f2863]) ).

fof(f2863,plain,
    ( $false
    | ~ spl15_51
    | ~ spl15_52 ),
    inference(subsumption_resolution,[],[f2862,f276]) ).

fof(f2862,plain,
    ( e0 = e3
    | ~ spl15_51
    | ~ spl15_52 ),
    inference(forward_demodulation,[],[f553,f549]) ).

fof(f549,plain,
    ( e0 = op(e1,e0)
    | ~ spl15_51 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f2855,plain,
    ( ~ spl15_32
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f2854]) ).

fof(f2854,plain,
    ( $false
    | ~ spl15_32
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f2853,f278]) ).

fof(f278,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2853,plain,
    ( e0 = e2
    | ~ spl15_32
    | ~ spl15_100 ),
    inference(backward_demodulation,[],[f807,f461]) ).

fof(f461,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f2848,plain,
    ( ~ spl15_86
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f2847]) ).

fof(f2847,plain,
    ( $false
    | ~ spl15_86
    | ~ spl15_102 ),
    inference(subsumption_resolution,[],[f2846,f819]) ).

fof(f2846,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_86 ),
    inference(forward_demodulation,[],[f112,f724]) ).

fof(f2844,plain,
    ( ~ spl15_71
    | spl15_96
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f2843]) ).

fof(f2843,plain,
    ( $false
    | ~ spl15_71
    | spl15_96
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f2842,f798]) ).

fof(f2842,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_71
    | spl15_96 ),
    inference(forward_demodulation,[],[f789,f643]) ).

fof(f789,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl15_96 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl15_96
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).

fof(f2832,plain,
    ( ~ spl15_12
    | ~ spl15_56 ),
    inference(avatar_contradiction_clause,[],[f2831]) ).

fof(f2831,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_56 ),
    inference(subsumption_resolution,[],[f2830,f375]) ).

fof(f2830,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_56 ),
    inference(forward_demodulation,[],[f131,f573]) ).

fof(f573,plain,
    ( e1 = op(e2,e1)
    | ~ spl15_56 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl15_56
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).

fof(f131,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2815,plain,
    ( ~ spl15_62
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f2814]) ).

fof(f2814,plain,
    ( $false
    | ~ spl15_62
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f2812,f278]) ).

fof(f2812,plain,
    ( e0 = e2
    | ~ spl15_62
    | ~ spl15_65 ),
    inference(backward_demodulation,[],[f598,f612]) ).

fof(f2797,plain,
    ( ~ spl15_59
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f2754,f337,f583]) ).

fof(f2754,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_4 ),
    inference(forward_demodulation,[],[f111,f339]) ).

fof(f339,plain,
    ( e3 = op(e2,e3)
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f2794,plain,
    ( ~ spl15_56
    | ~ spl15_74 ),
    inference(avatar_split_clause,[],[f2793,f657,f571]) ).

fof(f2793,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f105,f659]) ).

fof(f659,plain,
    ( e1 = op(e2,e0)
    | ~ spl15_74 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f2786,plain,
    ( spl15_65
    | ~ spl15_62
    | ~ spl15_119 ),
    inference(avatar_split_clause,[],[f2728,f959,f596,f610]) ).

fof(f959,plain,
    ( spl15_119
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_119])]) ).

fof(f2728,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_62
    | ~ spl15_119 ),
    inference(backward_demodulation,[],[f960,f598]) ).

fof(f960,plain,
    ( e0 = op(op(e2,e2),op(e2,e2))
    | ~ spl15_119 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f2749,plain,
    ( ~ spl15_35
    | ~ spl15_102
    | ~ spl15_107 ),
    inference(avatar_contradiction_clause,[],[f2748]) ).

fof(f2748,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_102
    | ~ spl15_107 ),
    inference(subsumption_resolution,[],[f2747,f275]) ).

fof(f2747,plain,
    ( e1 = e2
    | ~ spl15_35
    | ~ spl15_102
    | ~ spl15_107 ),
    inference(forward_demodulation,[],[f2746,f474]) ).

fof(f474,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_35 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f2746,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_102
    | ~ spl15_107 ),
    inference(backward_demodulation,[],[f855,f819]) ).

fof(f855,plain,
    ( e2 = op(e0,op(e0,e2))
    | ~ spl15_107 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f2737,plain,
    ( ~ spl15_19
    | ~ spl15_104
    | spl15_113 ),
    inference(avatar_contradiction_clause,[],[f2736]) ).

fof(f2736,plain,
    ( $false
    | ~ spl15_19
    | ~ spl15_104
    | spl15_113 ),
    inference(subsumption_resolution,[],[f2605,f902]) ).

fof(f902,plain,
    ( e2 != op(e3,e1)
    | spl15_113 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f2605,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_19
    | ~ spl15_104 ),
    inference(forward_demodulation,[],[f405,f832]) ).

fof(f405,plain,
    ( e2 = op(e3,op(e3,e2))
    | ~ spl15_19 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl15_19
  <=> e2 = op(e3,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f2712,plain,
    ( ~ spl15_43
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f2709,f399,f508]) ).

fof(f508,plain,
    ( spl15_43
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).

fof(f2709,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_18 ),
    inference(backward_demodulation,[],[f121,f401]) ).

fof(f2711,plain,
    ( ~ spl15_59
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f2710,f399,f583]) ).

fof(f2710,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_18 ),
    inference(backward_demodulation,[],[f113,f401]) ).

fof(f2708,plain,
    ( ~ spl15_70
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f2707,f373,f635]) ).

fof(f2707,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f114,f375]) ).

fof(f2704,plain,
    ( ~ spl15_12
    | spl15_37 ),
    inference(avatar_contradiction_clause,[],[f2703]) ).

fof(f2703,plain,
    ( $false
    | ~ spl15_12
    | spl15_37 ),
    inference(subsumption_resolution,[],[f2702,f375]) ).

fof(f2702,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_12
    | spl15_37 ),
    inference(forward_demodulation,[],[f483,f375]) ).

fof(f483,plain,
    ( e1 != op(e1,op(e1,e1))
    | spl15_37 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f2700,plain,
    ( ~ spl15_113
    | ~ spl15_100 ),
    inference(avatar_split_clause,[],[f2699,f805,f901]) ).

fof(f2699,plain,
    ( e2 != op(e3,e1)
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f132,f807]) ).

fof(f132,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2687,plain,
    ( ~ spl15_83
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f2685,f337,f706]) ).

fof(f2685,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f95,f339]) ).

fof(f2680,plain,
    ( ~ spl15_43
    | ~ spl15_68
    | spl15_114 ),
    inference(avatar_split_clause,[],[f2675,f912,f623,f508]) ).

fof(f912,plain,
    ( spl15_114
  <=> e3 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_114])]) ).

fof(f2675,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_68
    | spl15_114 ),
    inference(backward_demodulation,[],[f914,f625]) ).

fof(f914,plain,
    ( e3 != op(e3,op(e3,e3))
    | spl15_114 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f2671,plain,
    ( ~ spl15_54
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f2670,f472,f560]) ).

fof(f560,plain,
    ( spl15_54
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).

fof(f2670,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f108,f474]) ).

fof(f2647,plain,
    ( ~ spl15_67
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f2646,f727,f619]) ).

fof(f619,plain,
    ( spl15_67
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).

fof(f727,plain,
    ( spl15_87
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).

fof(f2646,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_87 ),
    inference(forward_demodulation,[],[f114,f729]) ).

fof(f729,plain,
    ( e0 = op(e3,e1)
    | ~ spl15_87 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f2639,plain,
    ( spl15_11
    | ~ spl15_41
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f2638]) ).

fof(f2638,plain,
    ( $false
    | spl15_11
    | ~ spl15_41
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f2637,f612]) ).

fof(f2637,plain,
    ( e0 != op(e2,e2)
    | spl15_11
    | ~ spl15_41 ),
    inference(forward_demodulation,[],[f370,f500]) ).

fof(f500,plain,
    ( e2 = op(e3,e3)
    | ~ spl15_41 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f370,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | spl15_11 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f2619,plain,
    ( ~ spl15_59
    | ~ spl15_61
    | spl15_81 ),
    inference(avatar_contradiction_clause,[],[f2618]) ).

fof(f2618,plain,
    ( $false
    | ~ spl15_59
    | ~ spl15_61
    | spl15_81 ),
    inference(subsumption_resolution,[],[f2617,f585]) ).

fof(f585,plain,
    ( e3 = op(e2,e1)
    | ~ spl15_59 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f2617,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_61
    | spl15_81 ),
    inference(backward_demodulation,[],[f697,f594]) ).

fof(f697,plain,
    ( e3 != op(op(e1,e1),e1)
    | spl15_81 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f695,plain,
    ( spl15_81
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).

fof(f2612,plain,
    ( ~ spl15_67
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f2611,f769,f619]) ).

fof(f2611,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f98,f771]) ).

fof(f98,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2554,plain,
    ( ~ spl15_83
    | ~ spl15_59 ),
    inference(avatar_split_clause,[],[f2553,f583,f706]) ).

fof(f2553,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_59 ),
    inference(backward_demodulation,[],[f106,f585]) ).

fof(f2550,plain,
    ( ~ spl15_39
    | spl15_69
    | ~ spl15_86 ),
    inference(avatar_split_clause,[],[f2548,f722,f628,f490]) ).

fof(f628,plain,
    ( spl15_69
  <=> e2 = op(e1,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).

fof(f2548,plain,
    ( e2 != op(e1,e3)
    | spl15_69
    | ~ spl15_86 ),
    inference(backward_demodulation,[],[f630,f724]) ).

fof(f630,plain,
    ( e2 != op(e1,op(e1,e2))
    | spl15_69 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f2542,plain,
    ( ~ spl15_68
    | ~ spl15_43
    | spl15_103 ),
    inference(avatar_split_clause,[],[f2438,f823,f508,f623]) ).

fof(f823,plain,
    ( spl15_103
  <=> e0 = op(e3,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).

fof(f2438,plain,
    ( e0 != op(e3,e3)
    | ~ spl15_43
    | spl15_103 ),
    inference(forward_demodulation,[],[f825,f510]) ).

fof(f510,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_43 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f825,plain,
    ( e0 != op(e3,op(e3,e0))
    | spl15_103 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f2541,plain,
    ( ~ spl15_13
    | spl15_37
    | ~ spl15_67 ),
    inference(avatar_contradiction_clause,[],[f2540]) ).

fof(f2540,plain,
    ( $false
    | ~ spl15_13
    | spl15_37
    | ~ spl15_67 ),
    inference(subsumption_resolution,[],[f2536,f379]) ).

fof(f379,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f2536,plain,
    ( e1 != op(e1,e0)
    | spl15_37
    | ~ spl15_67 ),
    inference(backward_demodulation,[],[f483,f621]) ).

fof(f621,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_67 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f2521,plain,
    ( ~ spl15_67
    | ~ spl15_13
    | spl15_72 ),
    inference(avatar_split_clause,[],[f2520,f646,f377,f619]) ).

fof(f646,plain,
    ( spl15_72
  <=> e0 = op(e1,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).

fof(f2520,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_13
    | spl15_72 ),
    inference(forward_demodulation,[],[f648,f379]) ).

fof(f648,plain,
    ( e0 != op(e1,op(e1,e0))
    | spl15_72 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f2510,plain,
    ( ~ spl15_65
    | ~ spl15_16
    | spl15_20 ),
    inference(avatar_split_clause,[],[f2478,f409,f390,f610]) ).

fof(f409,plain,
    ( spl15_20
  <=> e0 = op(e2,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

fof(f2478,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_16
    | spl15_20 ),
    inference(forward_demodulation,[],[f411,f392]) ).

fof(f411,plain,
    ( e0 != op(e2,op(e2,e0))
    | spl15_20 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f2506,plain,
    ( ~ spl15_40
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f2505,f390,f494]) ).

fof(f2505,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_16 ),
    inference(forward_demodulation,[],[f124,f392]) ).

fof(f2501,plain,
    ( ~ spl15_41
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f2500,f901,f498]) ).

fof(f2500,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f119,f903]) ).

fof(f2481,plain,
    ( ~ spl15_13
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f2480]) ).

fof(f2480,plain,
    ( $false
    | ~ spl15_13
    | ~ spl15_50 ),
    inference(subsumption_resolution,[],[f2479,f275]) ).

fof(f2479,plain,
    ( e1 = e2
    | ~ spl15_13
    | ~ spl15_50 ),
    inference(backward_demodulation,[],[f545,f379]) ).

fof(f2477,plain,
    ( ~ spl15_36
    | ~ spl15_66 ),
    inference(avatar_contradiction_clause,[],[f2476]) ).

fof(f2476,plain,
    ( $false
    | ~ spl15_36
    | ~ spl15_66 ),
    inference(subsumption_resolution,[],[f2475,f274]) ).

fof(f2475,plain,
    ( e0 = e1
    | ~ spl15_36
    | ~ spl15_66 ),
    inference(forward_demodulation,[],[f478,f616]) ).

fof(f2467,plain,
    ( ~ spl15_67
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f2466,f718,f619]) ).

fof(f718,plain,
    ( spl15_85
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).

fof(f2466,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_85 ),
    inference(forward_demodulation,[],[f104,f720]) ).

fof(f720,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_85 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f2461,plain,
    ( ~ spl15_91
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f2460]) ).

fof(f2460,plain,
    ( $false
    | ~ spl15_91
    | ~ spl15_102 ),
    inference(subsumption_resolution,[],[f2459,f277]) ).

fof(f2459,plain,
    ( e2 = e3
    | ~ spl15_91
    | ~ spl15_102 ),
    inference(forward_demodulation,[],[f819,f756]) ).

fof(f756,plain,
    ( e2 = op(e0,e2)
    | ~ spl15_91 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f2458,plain,
    ( ~ spl15_104
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f2457]) ).

fof(f2457,plain,
    ( $false
    | ~ spl15_104
    | ~ spl15_105 ),
    inference(subsumption_resolution,[],[f2456,f274]) ).

fof(f2456,plain,
    ( e0 = e1
    | ~ spl15_104
    | ~ spl15_105 ),
    inference(forward_demodulation,[],[f832,f840]) ).

fof(f2440,plain,
    ( ~ spl15_59
    | ~ spl15_48 ),
    inference(avatar_split_clause,[],[f2439,f534,f583]) ).

fof(f2439,plain,
    ( e3 != op(e2,e1)
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f131,f535]) ).

fof(f535,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_48 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f2431,plain,
    ( ~ spl15_25
    | ~ spl15_66 ),
    inference(avatar_split_clause,[],[f2430,f614,f430]) ).

fof(f430,plain,
    ( spl15_25
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

fof(f2430,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_66 ),
    inference(forward_demodulation,[],[f116,f616]) ).

fof(f2424,plain,
    ( ~ spl15_73
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f2423,f508,f653]) ).

fof(f2423,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_43 ),
    inference(forward_demodulation,[],[f127,f510]) ).

fof(f127,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2418,plain,
    ( ~ spl15_85
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f2417]) ).

fof(f2417,plain,
    ( $false
    | ~ spl15_85
    | ~ spl15_105 ),
    inference(subsumption_resolution,[],[f2283,f720]) ).

fof(f2283,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_105 ),
    inference(forward_demodulation,[],[f101,f840]) ).

fof(f101,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2413,plain,
    ( spl15_8
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f2412]) ).

fof(f2412,plain,
    ( $false
    | spl15_8
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f2411,f863]) ).

fof(f2411,plain,
    ( e3 != op(e1,e3)
    | spl15_8
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f357,f863]) ).

fof(f357,plain,
    ( e3 != op(e1,op(e1,e3))
    | spl15_8 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl15_8
  <=> e3 = op(e1,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f2410,plain,
    ( ~ spl15_73
    | ~ spl15_66
    | spl15_82 ),
    inference(avatar_split_clause,[],[f2409,f700,f614,f653]) ).

fof(f2409,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_66
    | spl15_82 ),
    inference(backward_demodulation,[],[f702,f616]) ).

fof(f702,plain,
    ( e3 != op(e2,op(e2,e3))
    | spl15_82 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f2403,plain,
    ( ~ spl15_41
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f2402,f486,f498]) ).

fof(f2402,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_38 ),
    inference(forward_demodulation,[],[f102,f488]) ).

fof(f2398,plain,
    ( ~ spl15_56
    | ~ spl15_54 ),
    inference(avatar_split_clause,[],[f2397,f560,f571]) ).

fof(f2397,plain,
    ( e1 != op(e2,e1)
    | ~ spl15_54 ),
    inference(forward_demodulation,[],[f92,f562]) ).

fof(f562,plain,
    ( e1 = op(e0,e1)
    | ~ spl15_54 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f92,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2392,plain,
    ( ~ spl15_91
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f2391,f486,f754]) ).

fof(f2391,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_38 ),
    inference(forward_demodulation,[],[f94,f488]) ).

fof(f2390,plain,
    ( ~ spl15_52
    | ~ spl15_48 ),
    inference(avatar_split_clause,[],[f2389,f534,f551]) ).

fof(f2389,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f134,f535]) ).

fof(f134,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2384,plain,
    ( ~ spl15_53
    | ~ spl15_54 ),
    inference(avatar_split_clause,[],[f2383,f560,f556]) ).

fof(f2383,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_54 ),
    inference(backward_demodulation,[],[f90,f562]) ).

fof(f2382,plain,
    ( ~ spl15_76
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f2380,f508,f668]) ).

fof(f2380,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_43 ),
    inference(backward_demodulation,[],[f118,f510]) ).

fof(f2381,plain,
    ( ~ spl15_52
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f2379,f508,f551]) ).

fof(f2379,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_43 ),
    inference(backward_demodulation,[],[f107,f510]) ).

fof(f2378,plain,
    ( spl15_50
    | ~ spl15_69
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f2376,f718,f628,f543]) ).

fof(f2376,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_69
    | ~ spl15_85 ),
    inference(backward_demodulation,[],[f629,f720]) ).

fof(f629,plain,
    ( e2 = op(e1,op(e1,e2))
    | ~ spl15_69 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f2366,plain,
    ( ~ spl15_48
    | ~ spl15_108 ),
    inference(avatar_split_clause,[],[f2365,f861,f534]) ).

fof(f2365,plain,
    ( e3 != op(e1,e1)
    | ~ spl15_108 ),
    inference(backward_demodulation,[],[f98,f863]) ).

fof(f2353,plain,
    ( ~ spl15_90
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f2352]) ).

fof(f2352,plain,
    ( $false
    | ~ spl15_90
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f2351,f275]) ).

fof(f2351,plain,
    ( e1 = e2
    | ~ spl15_90
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f798,f750]) ).

fof(f2345,plain,
    ( ~ spl15_33
    | spl15_42 ),
    inference(avatar_contradiction_clause,[],[f2344]) ).

fof(f2344,plain,
    ( $false
    | ~ spl15_33
    | spl15_42 ),
    inference(subsumption_resolution,[],[f2343,f465]) ).

fof(f2343,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_33
    | spl15_42 ),
    inference(forward_demodulation,[],[f505,f465]) ).

fof(f2329,plain,
    ( ~ spl15_33
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f2276,f430,f463]) ).

fof(f2276,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_25 ),
    inference(forward_demodulation,[],[f135,f432]) ).

fof(f432,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_25 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f2321,plain,
    ( ~ spl15_55
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f2320,f748,f564]) ).

fof(f2320,plain,
    ( op(e0,e0) != e1
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f123,f750]) ).

fof(f2317,plain,
    ( spl15_33
    | ~ spl15_49
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f2316,f619,f538,f463]) ).

fof(f538,plain,
    ( spl15_49
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).

fof(f2316,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_49
    | ~ spl15_67 ),
    inference(forward_demodulation,[],[f539,f621]) ).

fof(f539,plain,
    ( e0 = op(op(e1,e1),op(e1,e1))
    | ~ spl15_49 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f2307,plain,
    ( ~ spl15_53
    | ~ spl15_100
    | spl15_107 ),
    inference(avatar_contradiction_clause,[],[f2306]) ).

fof(f2306,plain,
    ( $false
    | ~ spl15_53
    | ~ spl15_100
    | spl15_107 ),
    inference(subsumption_resolution,[],[f2305,f807]) ).

fof(f2305,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_53
    | spl15_107 ),
    inference(forward_demodulation,[],[f856,f558]) ).

fof(f2293,plain,
    ( ~ spl15_99
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f2292]) ).

fof(f2292,plain,
    ( $false
    | ~ spl15_99
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f2291,f277]) ).

fof(f2291,plain,
    ( e2 = e3
    | ~ spl15_99
    | ~ spl15_100 ),
    inference(backward_demodulation,[],[f803,f807]) ).

fof(f2288,plain,
    ( ~ spl15_70
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f2287]) ).

fof(f2287,plain,
    ( $false
    | ~ spl15_70
    | ~ spl15_113 ),
    inference(subsumption_resolution,[],[f2286,f275]) ).

fof(f2286,plain,
    ( e1 = e2
    | ~ spl15_70
    | ~ spl15_113 ),
    inference(backward_demodulation,[],[f903,f637]) ).

fof(f2237,plain,
    ( ~ spl15_53
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f2236]) ).

fof(f2236,plain,
    ( $false
    | ~ spl15_53
    | ~ spl15_91 ),
    inference(subsumption_resolution,[],[f2235,f275]) ).

fof(f2235,plain,
    ( e1 = e2
    | ~ spl15_53
    | ~ spl15_91 ),
    inference(backward_demodulation,[],[f756,f558]) ).

fof(f2233,plain,
    ( ~ spl15_36
    | ~ spl15_56 ),
    inference(avatar_split_clause,[],[f2232,f571,f476]) ).

fof(f2232,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_56 ),
    inference(forward_demodulation,[],[f111,f573]) ).

fof(f2231,plain,
    ( ~ spl15_85
    | ~ spl15_50
    | spl15_72 ),
    inference(avatar_split_clause,[],[f2230,f646,f543,f718]) ).

fof(f2230,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_50
    | spl15_72 ),
    inference(forward_demodulation,[],[f648,f545]) ).

fof(f2220,plain,
    ( ~ spl15_95
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f2219,f801,f778]) ).

fof(f2219,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_99 ),
    inference(forward_demodulation,[],[f108,f803]) ).

fof(f2216,plain,
    ( spl15_68
    | ~ spl15_76
    | ~ spl15_118 ),
    inference(avatar_contradiction_clause,[],[f2215]) ).

fof(f2215,plain,
    ( $false
    | spl15_68
    | ~ spl15_76
    | ~ spl15_118 ),
    inference(subsumption_resolution,[],[f2214,f624]) ).

fof(f2214,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_76
    | ~ spl15_118 ),
    inference(forward_demodulation,[],[f951,f670]) ).

fof(f951,plain,
    ( e0 = op(op(e3,e3),e3)
    | ~ spl15_118 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f950,plain,
    ( spl15_118
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_118])]) ).

fof(f2211,plain,
    ( spl15_10
    | ~ spl15_76
    | ~ spl15_101 ),
    inference(avatar_contradiction_clause,[],[f2210]) ).

fof(f2210,plain,
    ( $false
    | spl15_10
    | ~ spl15_76
    | ~ spl15_101 ),
    inference(subsumption_resolution,[],[f2209,f366]) ).

fof(f366,plain,
    ( e1 != op(e3,e3)
    | spl15_10 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f2209,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_76
    | ~ spl15_101 ),
    inference(forward_demodulation,[],[f812,f670]) ).

fof(f812,plain,
    ( e1 = op(op(e3,e3),e3)
    | ~ spl15_101 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl15_101
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).

fof(f2206,plain,
    ( ~ spl15_45
    | ~ spl15_113 ),
    inference(avatar_split_clause,[],[f2205,f901,f519]) ).

fof(f2205,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f125,f903]) ).

fof(f2204,plain,
    ( ~ spl15_45
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f2203,f754,f519]) ).

fof(f2203,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f89,f756]) ).

fof(f2201,plain,
    ( ~ spl15_73
    | ~ spl15_83 ),
    inference(avatar_split_clause,[],[f2064,f706,f653]) ).

fof(f2064,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_83 ),
    inference(backward_demodulation,[],[f120,f708]) ).

fof(f120,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2195,plain,
    ( ~ spl15_98
    | ~ spl15_50 ),
    inference(avatar_split_clause,[],[f2044,f543,f796]) ).

fof(f2044,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_50 ),
    inference(backward_demodulation,[],[f107,f545]) ).

fof(f2191,plain,
    ( ~ spl15_70
    | ~ spl15_56 ),
    inference(avatar_split_clause,[],[f2190,f571,f635]) ).

fof(f2190,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_56 ),
    inference(forward_demodulation,[],[f113,f573]) ).

fof(f2185,plain,
    ( ~ spl15_56
    | ~ spl15_58 ),
    inference(avatar_contradiction_clause,[],[f2184]) ).

fof(f2184,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_58 ),
    inference(subsumption_resolution,[],[f2183,f275]) ).

fof(f2183,plain,
    ( e1 = e2
    | ~ spl15_56
    | ~ spl15_58 ),
    inference(backward_demodulation,[],[f581,f573]) ).

fof(f2173,plain,
    ( spl15_13
    | ~ spl15_37
    | ~ spl15_67 ),
    inference(avatar_contradiction_clause,[],[f2172]) ).

fof(f2172,plain,
    ( $false
    | spl15_13
    | ~ spl15_37
    | ~ spl15_67 ),
    inference(subsumption_resolution,[],[f2171,f378]) ).

fof(f378,plain,
    ( e1 != op(e1,e0)
    | spl15_13 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f2171,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_37
    | ~ spl15_67 ),
    inference(forward_demodulation,[],[f482,f621]) ).

fof(f2161,plain,
    ( ~ spl15_100
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f2160,f579,f805]) ).

fof(f2160,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_58 ),
    inference(forward_demodulation,[],[f92,f581]) ).

fof(f2136,plain,
    ( ~ spl15_33
    | ~ spl15_55 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | ~ spl15_33
    | ~ spl15_55 ),
    inference(subsumption_resolution,[],[f2134,f274]) ).

fof(f2134,plain,
    ( e0 = e1
    | ~ spl15_33
    | ~ spl15_55 ),
    inference(backward_demodulation,[],[f566,f465]) ).

fof(f2121,plain,
    ( ~ spl15_15
    | ~ spl15_108 ),
    inference(avatar_contradiction_clause,[],[f2120]) ).

fof(f2120,plain,
    ( $false
    | ~ spl15_15
    | ~ spl15_108 ),
    inference(subsumption_resolution,[],[f2119,f273]) ).

fof(f2119,plain,
    ( e1 = e3
    | ~ spl15_15
    | ~ spl15_108 ),
    inference(forward_demodulation,[],[f863,f387]) ).

fof(f387,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_15 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl15_15
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f2113,plain,
    ( spl15_36
    | ~ spl15_41
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f2028,f811,f498,f476]) ).

fof(f2028,plain,
    ( e1 = op(e2,e3)
    | ~ spl15_41
    | ~ spl15_101 ),
    inference(forward_demodulation,[],[f812,f500]) ).

fof(f2085,plain,
    ( ~ spl15_48
    | ~ spl15_67 ),
    inference(avatar_contradiction_clause,[],[f2084]) ).

fof(f2084,plain,
    ( $false
    | ~ spl15_48
    | ~ spl15_67 ),
    inference(subsumption_resolution,[],[f2081,f276]) ).

fof(f2081,plain,
    ( e0 = e3
    | ~ spl15_48
    | ~ spl15_67 ),
    inference(backward_demodulation,[],[f535,f621]) ).

fof(f2063,plain,
    ( spl15_32
    | ~ spl15_42
    | ~ spl15_55 ),
    inference(avatar_contradiction_clause,[],[f2062]) ).

fof(f2062,plain,
    ( $false
    | spl15_32
    | ~ spl15_42
    | ~ spl15_55 ),
    inference(subsumption_resolution,[],[f2053,f460]) ).

fof(f460,plain,
    ( e0 != op(e0,e1)
    | spl15_32 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f2053,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_42
    | ~ spl15_55 ),
    inference(backward_demodulation,[],[f504,f566]) ).

fof(f504,plain,
    ( e0 = op(e0,op(e0,e0))
    | ~ spl15_42 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f2061,plain,
    ( ~ spl15_50
    | ~ spl15_55
    | spl15_96 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | ~ spl15_50
    | ~ spl15_55
    | spl15_96 ),
    inference(subsumption_resolution,[],[f2056,f545]) ).

fof(f2056,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_55
    | spl15_96 ),
    inference(backward_demodulation,[],[f789,f566]) ).

fof(f2059,plain,
    ( spl15_12
    | ~ spl15_55
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f2058]) ).

fof(f2058,plain,
    ( $false
    | spl15_12
    | ~ spl15_55
    | ~ spl15_97 ),
    inference(subsumption_resolution,[],[f2057,f374]) ).

fof(f374,plain,
    ( e1 != op(e1,e1)
    | spl15_12 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f2057,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_55
    | ~ spl15_97 ),
    inference(backward_demodulation,[],[f792,f566]) ).

fof(f2050,plain,
    ( ~ spl15_55
    | ~ spl15_54 ),
    inference(avatar_split_clause,[],[f1791,f560,f564]) ).

fof(f1791,plain,
    ( op(e0,e0) != e1
    | ~ spl15_54 ),
    inference(forward_demodulation,[],[f128,f562]) ).

fof(f128,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2033,plain,
    ( ~ spl15_75
    | spl15_6
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f2032,f579,f346,f662]) ).

fof(f346,plain,
    ( spl15_6
  <=> e1 = op(e2,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f2032,plain,
    ( e1 != op(e2,e2)
    | spl15_6
    | ~ spl15_58 ),
    inference(forward_demodulation,[],[f348,f581]) ).

fof(f348,plain,
    ( e1 != op(e2,op(e2,e1))
    | spl15_6 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2026,plain,
    ( ~ spl15_25
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f2025]) ).

fof(f2025,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f2023,f276]) ).

fof(f2023,plain,
    ( e0 = e3
    | ~ spl15_25
    | ~ spl15_95 ),
    inference(backward_demodulation,[],[f780,f432]) ).

fof(f2021,plain,
    ( ~ spl15_98
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f2020,f498,f796]) ).

fof(f2020,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_41 ),
    inference(backward_demodulation,[],[f118,f500]) ).

fof(f2012,plain,
    ( ~ spl15_36
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f1949,f385,f476]) ).

fof(f1949,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f93,f387]) ).

fof(f2009,plain,
    ( ~ spl15_60
    | ~ spl15_91 ),
    inference(avatar_split_clause,[],[f2008,f754,f588]) ).

fof(f2008,plain,
    ( op(e0,e0) != e2
    | ~ spl15_91 ),
    inference(backward_demodulation,[],[f109,f756]) ).

fof(f2006,plain,
    ( ~ spl15_90
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f2005,f830,f748]) ).

fof(f2005,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_104 ),
    inference(forward_demodulation,[],[f126,f832]) ).

fof(f126,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2002,plain,
    ( ~ spl15_40
    | ~ spl15_58 ),
    inference(avatar_split_clause,[],[f2001,f579,f494]) ).

fof(f2001,plain,
    ( e2 != op(e2,e3)
    | ~ spl15_58 ),
    inference(backward_demodulation,[],[f111,f581]) ).

fof(f1998,plain,
    ( ~ spl15_18
    | ~ spl15_48 ),
    inference(avatar_split_clause,[],[f1997,f534,f399]) ).

fof(f1997,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f114,f535]) ).

fof(f1995,plain,
    ( ~ spl15_34
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f1994]) ).

fof(f1994,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_102 ),
    inference(subsumption_resolution,[],[f1993,f276]) ).

fof(f1993,plain,
    ( e0 = e3
    | ~ spl15_34
    | ~ spl15_102 ),
    inference(forward_demodulation,[],[f819,f469]) ).

fof(f1987,plain,
    ( ~ spl15_60
    | ~ spl15_73
    | spl15_93 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1986,plain,
    ( $false
    | ~ spl15_60
    | ~ spl15_73
    | spl15_93 ),
    inference(subsumption_resolution,[],[f1985,f655]) ).

fof(f1985,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_60
    | spl15_93 ),
    inference(forward_demodulation,[],[f766,f590]) ).

fof(f1970,plain,
    ( ~ spl15_51
    | spl15_72 ),
    inference(avatar_contradiction_clause,[],[f1969]) ).

fof(f1969,plain,
    ( $false
    | ~ spl15_51
    | spl15_72 ),
    inference(subsumption_resolution,[],[f1968,f549]) ).

fof(f1968,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_51
    | spl15_72 ),
    inference(forward_demodulation,[],[f648,f549]) ).

fof(f1965,plain,
    ( ~ spl15_75
    | ~ spl15_104 ),
    inference(avatar_contradiction_clause,[],[f1964]) ).

fof(f1964,plain,
    ( $false
    | ~ spl15_75
    | ~ spl15_104 ),
    inference(subsumption_resolution,[],[f1963,f664]) ).

fof(f1963,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_104 ),
    inference(forward_demodulation,[],[f133,f832]) ).

fof(f1962,plain,
    ( ~ spl15_91
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f1961,f714,f754]) ).

fof(f1961,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f112,f716]) ).

fof(f716,plain,
    ( e2 = op(e1,e2)
    | ~ spl15_84 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f1948,plain,
    ( ~ spl15_104
    | spl15_106
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1947]) ).

fof(f1947,plain,
    ( $false
    | ~ spl15_104
    | spl15_106
    | ~ spl15_113 ),
    inference(subsumption_resolution,[],[f1946,f832]) ).

fof(f1946,plain,
    ( e1 != op(e3,e2)
    | spl15_106
    | ~ spl15_113 ),
    inference(forward_demodulation,[],[f847,f903]) ).

fof(f847,plain,
    ( e1 != op(e3,op(e3,e1))
    | spl15_106 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl15_106
  <=> e1 = op(e3,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_106])]) ).

fof(f1942,plain,
    ( ~ spl15_14
    | ~ spl15_104 ),
    inference(avatar_split_clause,[],[f1941,f830,f381]) ).

fof(f1941,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_104 ),
    inference(forward_demodulation,[],[f101,f832]) ).

fof(f1938,plain,
    ( spl15_69
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f1937]) ).

fof(f1937,plain,
    ( $false
    | spl15_69
    | ~ spl15_84 ),
    inference(subsumption_resolution,[],[f1936,f716]) ).

fof(f1936,plain,
    ( e2 != op(e1,e2)
    | spl15_69
    | ~ spl15_84 ),
    inference(backward_demodulation,[],[f630,f716]) ).

fof(f1930,plain,
    ( ~ spl15_43
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1929,plain,
    ( $false
    | ~ spl15_43
    | ~ spl15_90 ),
    inference(subsumption_resolution,[],[f1928,f273]) ).

fof(f1928,plain,
    ( e1 = e3
    | ~ spl15_43
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f510,f750]) ).

fof(f1921,plain,
    ( ~ spl15_14
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f1920,f385,f381]) ).

fof(f1920,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f100,f387]) ).

fof(f1919,plain,
    ( spl15_34
    | ~ spl15_42
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f1918,f588,f503,f467]) ).

fof(f1918,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_42
    | ~ spl15_60 ),
    inference(forward_demodulation,[],[f504,f590]) ).

fof(f1908,plain,
    ( ~ spl15_14
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f1773,f662,f381]) ).

fof(f1773,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_75 ),
    inference(forward_demodulation,[],[f99,f664]) ).

fof(f1904,plain,
    ( spl15_47
    | ~ spl15_48
    | ~ spl15_113 ),
    inference(avatar_contradiction_clause,[],[f1903]) ).

fof(f1903,plain,
    ( $false
    | spl15_47
    | ~ spl15_48
    | ~ spl15_113 ),
    inference(subsumption_resolution,[],[f1752,f903]) ).

fof(f1752,plain,
    ( e2 != op(e3,e1)
    | spl15_47
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f532,f535]) ).

fof(f532,plain,
    ( e2 != op(op(e1,e1),e1)
    | spl15_47 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl15_47
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).

fof(f1889,plain,
    ( ~ spl15_105
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f1886,f623,f838]) ).

fof(f1886,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_68 ),
    inference(backward_demodulation,[],[f130,f625]) ).

fof(f1868,plain,
    ( ~ spl15_32
    | ~ spl15_54 ),
    inference(avatar_contradiction_clause,[],[f1867]) ).

fof(f1867,plain,
    ( $false
    | ~ spl15_32
    | ~ spl15_54 ),
    inference(subsumption_resolution,[],[f1866,f274]) ).

fof(f1866,plain,
    ( e0 = e1
    | ~ spl15_32
    | ~ spl15_54 ),
    inference(backward_demodulation,[],[f562,f461]) ).

fof(f1862,plain,
    ( ~ spl15_15
    | spl15_37
    | ~ spl15_48 ),
    inference(avatar_split_clause,[],[f1750,f534,f481,f385]) ).

fof(f1750,plain,
    ( e1 != op(e1,e3)
    | spl15_37
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f483,f535]) ).

fof(f1843,plain,
    ( ~ spl15_71
    | ~ spl15_90
    | spl15_109 ),
    inference(avatar_contradiction_clause,[],[f1842]) ).

fof(f1842,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_90
    | spl15_109 ),
    inference(subsumption_resolution,[],[f1841,f750]) ).

fof(f1841,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_71
    | spl15_109 ),
    inference(forward_demodulation,[],[f871,f643]) ).

fof(f871,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl15_109 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl15_109
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_109])]) ).

fof(f1836,plain,
    ( ~ spl15_36
    | ~ spl15_41
    | spl15_101 ),
    inference(avatar_split_clause,[],[f1830,f811,f498,f476]) ).

fof(f1830,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_41
    | spl15_101 ),
    inference(backward_demodulation,[],[f813,f500]) ).

fof(f813,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl15_101 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f1824,plain,
    ( ~ spl15_75
    | ~ spl15_85
    | spl15_88 ),
    inference(avatar_contradiction_clause,[],[f1823]) ).

fof(f1823,plain,
    ( $false
    | ~ spl15_75
    | ~ spl15_85
    | spl15_88 ),
    inference(subsumption_resolution,[],[f1822,f720]) ).

fof(f1822,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_75
    | spl15_88 ),
    inference(forward_demodulation,[],[f738,f664]) ).

fof(f738,plain,
    ( e0 != op(op(e2,e2),e2)
    | spl15_88 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f736,plain,
    ( spl15_88
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).

fof(f1820,plain,
    ( ~ spl15_54
    | ~ spl15_70 ),
    inference(avatar_contradiction_clause,[],[f1819]) ).

fof(f1819,plain,
    ( $false
    | ~ spl15_54
    | ~ spl15_70 ),
    inference(subsumption_resolution,[],[f1818,f562]) ).

fof(f1818,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f132,f637]) ).

fof(f1811,plain,
    ( ~ spl15_91
    | spl15_107 ),
    inference(avatar_contradiction_clause,[],[f1810]) ).

fof(f1810,plain,
    ( $false
    | ~ spl15_91
    | spl15_107 ),
    inference(subsumption_resolution,[],[f1809,f756]) ).

fof(f1809,plain,
    ( e2 != op(e0,e2)
    | ~ spl15_91
    | spl15_107 ),
    inference(forward_demodulation,[],[f856,f756]) ).

fof(f1807,plain,
    ( ~ spl15_94
    | ~ spl15_85 ),
    inference(avatar_split_clause,[],[f1806,f718,f769]) ).

fof(f1806,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_85 ),
    inference(forward_demodulation,[],[f100,f720]) ).

fof(f1801,plain,
    ( ~ spl15_63
    | ~ spl15_105 ),
    inference(avatar_contradiction_clause,[],[f1800]) ).

fof(f1800,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_105 ),
    inference(subsumption_resolution,[],[f1797,f276]) ).

fof(f1797,plain,
    ( e0 = e3
    | ~ spl15_63
    | ~ spl15_105 ),
    inference(backward_demodulation,[],[f601,f840]) ).

fof(f601,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_63 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl15_63
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).

fof(f1790,plain,
    ( ~ spl15_18
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f1646,f600,f399]) ).

fof(f1646,plain,
    ( e3 != op(e3,e1)
    | ~ spl15_63 ),
    inference(forward_demodulation,[],[f125,f601]) ).

fof(f1787,plain,
    ( ~ spl15_32
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f1786,f430,f459]) ).

fof(f1786,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_25 ),
    inference(forward_demodulation,[],[f108,f432]) ).

fof(f1785,plain,
    ( ~ spl15_70
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1399,f748,f635]) ).

fof(f1399,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f121,f750]) ).

fof(f1778,plain,
    ( ~ spl15_94
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f1775,f430,f769]) ).

fof(f1775,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_25 ),
    inference(backward_demodulation,[],[f115,f432]) ).

fof(f1762,plain,
    ( spl15_41
    | ~ spl15_71
    | ~ spl15_92 ),
    inference(avatar_split_clause,[],[f1761,f760,f641,f498]) ).

fof(f1761,plain,
    ( e2 = op(e3,e3)
    | ~ spl15_71
    | ~ spl15_92 ),
    inference(forward_demodulation,[],[f761,f643]) ).

fof(f1759,plain,
    ( ~ spl15_86
    | ~ spl15_48 ),
    inference(avatar_split_clause,[],[f1758,f534,f722]) ).

fof(f1758,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f104,f535]) ).

fof(f1755,plain,
    ( ~ spl15_86
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f1754,f600,f722]) ).

fof(f1754,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_63 ),
    inference(forward_demodulation,[],[f101,f601]) ).

fof(f1722,plain,
    ( ~ spl15_76
    | spl15_114 ),
    inference(avatar_contradiction_clause,[],[f1721]) ).

fof(f1721,plain,
    ( $false
    | ~ spl15_76
    | spl15_114 ),
    inference(subsumption_resolution,[],[f1720,f670]) ).

fof(f1720,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_76
    | spl15_114 ),
    inference(forward_demodulation,[],[f914,f670]) ).

fof(f1719,plain,
    ( ~ spl15_99
    | ~ spl15_59 ),
    inference(avatar_split_clause,[],[f1718,f583,f801]) ).

fof(f1718,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_59 ),
    inference(forward_demodulation,[],[f92,f585]) ).

fof(f1715,plain,
    ( ~ spl15_36
    | ~ spl15_40 ),
    inference(avatar_contradiction_clause,[],[f1714]) ).

fof(f1714,plain,
    ( $false
    | ~ spl15_36
    | ~ spl15_40 ),
    inference(subsumption_resolution,[],[f1713,f275]) ).

fof(f1713,plain,
    ( e1 = e2
    | ~ spl15_36
    | ~ spl15_40 ),
    inference(backward_demodulation,[],[f496,f478]) ).

fof(f1712,plain,
    ( ~ spl15_63
    | ~ spl15_76 ),
    inference(avatar_contradiction_clause,[],[f1711]) ).

fof(f1711,plain,
    ( $false
    | ~ spl15_63
    | ~ spl15_76 ),
    inference(subsumption_resolution,[],[f1710,f601]) ).

fof(f1710,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_76 ),
    inference(forward_demodulation,[],[f130,f670]) ).

fof(f1706,plain,
    ( ~ spl15_99
    | ~ spl15_35
    | spl15_64 ),
    inference(avatar_split_clause,[],[f1705,f605,f472,f801]) ).

fof(f1705,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_35
    | spl15_64 ),
    inference(forward_demodulation,[],[f607,f474]) ).

fof(f1679,plain,
    ( ~ spl15_70
    | ~ spl15_87 ),
    inference(avatar_contradiction_clause,[],[f1678]) ).

fof(f1678,plain,
    ( $false
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(subsumption_resolution,[],[f1677,f274]) ).

fof(f1677,plain,
    ( e0 = e1
    | ~ spl15_70
    | ~ spl15_87 ),
    inference(forward_demodulation,[],[f637,f729]) ).

fof(f1671,plain,
    ( ~ spl15_60
    | ~ spl15_34
    | spl15_107 ),
    inference(avatar_split_clause,[],[f1670,f854,f467,f588]) ).

fof(f1670,plain,
    ( op(e0,e0) != e2
    | ~ spl15_34
    | spl15_107 ),
    inference(forward_demodulation,[],[f856,f469]) ).

fof(f1667,plain,
    ( ~ spl15_62
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f1666]) ).

fof(f1666,plain,
    ( $false
    | ~ spl15_62
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f1665,f277]) ).

fof(f1665,plain,
    ( e2 = e3
    | ~ spl15_62
    | ~ spl15_83 ),
    inference(forward_demodulation,[],[f708,f598]) ).

fof(f1663,plain,
    ( ~ spl15_14
    | ~ spl15_61
    | spl15_69 ),
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1662,plain,
    ( $false
    | ~ spl15_14
    | ~ spl15_61
    | spl15_69 ),
    inference(subsumption_resolution,[],[f1661,f594]) ).

fof(f1661,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_14
    | spl15_69 ),
    inference(forward_demodulation,[],[f630,f383]) ).

fof(f1658,plain,
    ( ~ spl15_41
    | ~ spl15_63
    | spl15_114 ),
    inference(avatar_contradiction_clause,[],[f1657]) ).

fof(f1657,plain,
    ( $false
    | ~ spl15_41
    | ~ spl15_63
    | spl15_114 ),
    inference(subsumption_resolution,[],[f1540,f601]) ).

fof(f1540,plain,
    ( e3 != op(e3,e2)
    | ~ spl15_41
    | spl15_114 ),
    inference(backward_demodulation,[],[f914,f500]) ).

fof(f1652,plain,
    ( spl15_8
    | ~ spl15_52
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1651]) ).

fof(f1651,plain,
    ( $false
    | spl15_8
    | ~ spl15_52
    | ~ spl15_94 ),
    inference(subsumption_resolution,[],[f1650,f553]) ).

fof(f1650,plain,
    ( e3 != op(e1,e0)
    | spl15_8
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f357,f771]) ).

fof(f1643,plain,
    ( spl15_20
    | ~ spl15_46 ),
    inference(avatar_contradiction_clause,[],[f1642]) ).

fof(f1642,plain,
    ( $false
    | spl15_20
    | ~ spl15_46 ),
    inference(subsumption_resolution,[],[f1641,f527]) ).

fof(f527,plain,
    ( e0 = op(e2,e0)
    | ~ spl15_46 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1641,plain,
    ( e0 != op(e2,e0)
    | spl15_20
    | ~ spl15_46 ),
    inference(forward_demodulation,[],[f411,f527]) ).

fof(f1638,plain,
    ( ~ spl15_52
    | spl15_72
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1637]) ).

fof(f1637,plain,
    ( $false
    | ~ spl15_52
    | spl15_72
    | ~ spl15_94 ),
    inference(subsumption_resolution,[],[f1636,f771]) ).

fof(f1636,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_52
    | spl15_72 ),
    inference(forward_demodulation,[],[f648,f553]) ).

fof(f1631,plain,
    ( ~ spl15_46
    | ~ spl15_66 ),
    inference(avatar_contradiction_clause,[],[f1630]) ).

fof(f1630,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_66 ),
    inference(subsumption_resolution,[],[f1629,f527]) ).

fof(f1629,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_66 ),
    inference(forward_demodulation,[],[f124,f616]) ).

fof(f1628,plain,
    ( spl15_6
    | ~ spl15_56 ),
    inference(avatar_contradiction_clause,[],[f1627]) ).

fof(f1627,plain,
    ( $false
    | spl15_6
    | ~ spl15_56 ),
    inference(subsumption_resolution,[],[f1626,f573]) ).

fof(f1626,plain,
    ( e1 != op(e2,e1)
    | spl15_6
    | ~ spl15_56 ),
    inference(forward_demodulation,[],[f348,f573]) ).

fof(f1621,plain,
    ( ~ spl15_35
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1620]) ).

fof(f1620,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f1619,f273]) ).

fof(f1619,plain,
    ( e1 = e3
    | ~ spl15_35
    | ~ spl15_95 ),
    inference(backward_demodulation,[],[f780,f474]) ).

fof(f1589,plain,
    ( spl15_2
    | ~ spl15_62 ),
    inference(avatar_contradiction_clause,[],[f1588]) ).

fof(f1588,plain,
    ( $false
    | spl15_2
    | ~ spl15_62 ),
    inference(subsumption_resolution,[],[f1587,f598]) ).

fof(f1587,plain,
    ( e2 != op(e2,e2)
    | spl15_2
    | ~ spl15_62 ),
    inference(backward_demodulation,[],[f330,f598]) ).

fof(f330,plain,
    ( e2 != op(e2,op(e2,e2))
    | spl15_2 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl15_2
  <=> e2 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f1584,plain,
    ( spl15_35
    | ~ spl15_77
    | ~ spl15_99 ),
    inference(avatar_split_clause,[],[f1583,f801,f676,f472]) ).

fof(f676,plain,
    ( spl15_77
  <=> e1 = op(e0,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).

fof(f1583,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_77
    | ~ spl15_99 ),
    inference(forward_demodulation,[],[f677,f803]) ).

fof(f677,plain,
    ( e1 = op(e0,op(e0,e1))
    | ~ spl15_77 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1581,plain,
    ( ~ spl15_75
    | ~ spl15_60
    | spl15_97 ),
    inference(avatar_split_clause,[],[f1496,f791,f588,f662]) ).

fof(f1496,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_60
    | spl15_97 ),
    inference(backward_demodulation,[],[f793,f590]) ).

fof(f1579,plain,
    ( ~ spl15_57
    | ~ spl15_87 ),
    inference(avatar_split_clause,[],[f1574,f727,f575]) ).

fof(f1574,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_87 ),
    inference(backward_demodulation,[],[f113,f729]) ).

fof(f1573,plain,
    ( ~ spl15_100
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f1572,f592,f805]) ).

fof(f1572,plain,
    ( e2 != op(e0,e1)
    | ~ spl15_61 ),
    inference(forward_demodulation,[],[f91,f594]) ).

fof(f1567,plain,
    ( ~ spl15_83
    | ~ spl15_61
    | spl15_117 ),
    inference(avatar_split_clause,[],[f1344,f945,f592,f706]) ).

fof(f945,plain,
    ( spl15_117
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_117])]) ).

fof(f1344,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_61
    | spl15_117 ),
    inference(backward_demodulation,[],[f947,f594]) ).

fof(f947,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | spl15_117 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f1562,plain,
    ( ~ spl15_83
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f1561,f600,f706]) ).

fof(f1561,plain,
    ( e3 != op(e2,e2)
    | ~ spl15_63 ),
    inference(backward_demodulation,[],[f133,f601]) ).

fof(f1559,plain,
    ( ~ spl15_66
    | ~ spl15_41
    | spl15_118 ),
    inference(avatar_split_clause,[],[f1537,f950,f498,f614]) ).

fof(f1537,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_41
    | spl15_118 ),
    inference(backward_demodulation,[],[f952,f500]) ).

fof(f952,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl15_118 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f1552,plain,
    ( ~ spl15_66
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f1551,f769,f614]) ).

fof(f1551,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f93,f771]) ).

fof(f1546,plain,
    ( ~ spl15_75
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f1545]) ).

fof(f1545,plain,
    ( $false
    | ~ spl15_75
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f1544,f273]) ).

fof(f1544,plain,
    ( e1 = e3
    | ~ spl15_75
    | ~ spl15_83 ),
    inference(forward_demodulation,[],[f708,f664]) ).

fof(f1543,plain,
    ( ~ spl15_41
    | ~ spl15_75
    | spl15_115 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | ~ spl15_41
    | ~ spl15_75
    | spl15_115 ),
    inference(subsumption_resolution,[],[f1538,f664]) ).

fof(f1538,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_41
    | spl15_115 ),
    inference(backward_demodulation,[],[f922,f500]) ).

fof(f1525,plain,
    ( ~ spl15_52
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f1524]) ).

fof(f1524,plain,
    ( $false
    | ~ spl15_52
    | ~ spl15_86 ),
    inference(subsumption_resolution,[],[f1483,f553]) ).

fof(f1483,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_86 ),
    inference(forward_demodulation,[],[f122,f724]) ).

fof(f122,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1523,plain,
    ( ~ spl15_68
    | ~ spl15_44 ),
    inference(avatar_split_clause,[],[f1522,f514,f623]) ).

fof(f514,plain,
    ( spl15_44
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).

fof(f1522,plain,
    ( e0 != op(e3,e3)
    | ~ spl15_44 ),
    inference(forward_demodulation,[],[f118,f516]) ).

fof(f516,plain,
    ( e0 = op(e3,e0)
    | ~ spl15_44 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f1516,plain,
    ( ~ spl15_50
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f1476,f592,f543]) ).

fof(f1476,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_61 ),
    inference(forward_demodulation,[],[f134,f594]) ).

fof(f1515,plain,
    ( ~ spl15_10
    | ~ spl15_18
    | spl15_106 ),
    inference(avatar_split_clause,[],[f1434,f845,f399,f364]) ).

fof(f1434,plain,
    ( e1 != op(e3,e3)
    | ~ spl15_18
    | spl15_106 ),
    inference(backward_demodulation,[],[f847,f401]) ).

fof(f1514,plain,
    ( ~ spl15_44
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f1513]) ).

fof(f1513,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_90 ),
    inference(subsumption_resolution,[],[f1512,f274]) ).

fof(f1512,plain,
    ( e0 = e1
    | ~ spl15_44
    | ~ spl15_90 ),
    inference(backward_demodulation,[],[f750,f516]) ).

fof(f1511,plain,
    ( ~ spl15_34
    | spl15_42
    | ~ spl15_60 ),
    inference(avatar_contradiction_clause,[],[f1510]) ).

fof(f1510,plain,
    ( $false
    | ~ spl15_34
    | spl15_42
    | ~ spl15_60 ),
    inference(subsumption_resolution,[],[f1509,f469]) ).

fof(f1509,plain,
    ( e0 != op(e0,e2)
    | spl15_42
    | ~ spl15_60 ),
    inference(forward_demodulation,[],[f505,f590]) ).

fof(f1502,plain,
    ( ~ spl15_68
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f1501,f769,f623]) ).

fof(f1501,plain,
    ( e0 != op(e3,e3)
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f129,f771]) ).

fof(f129,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1495,plain,
    ( ~ spl15_15
    | ~ spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1494]) ).

fof(f1494,plain,
    ( $false
    | ~ spl15_15
    | ~ spl15_94 ),
    inference(subsumption_resolution,[],[f1493,f274]) ).

fof(f1493,plain,
    ( e0 = e1
    | ~ spl15_15
    | ~ spl15_94 ),
    inference(backward_demodulation,[],[f387,f771]) ).

fof(f1490,plain,
    ( ~ spl15_46
    | ~ spl15_73 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1489,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_73 ),
    inference(subsumption_resolution,[],[f1487,f276]) ).

fof(f1487,plain,
    ( e0 = e3
    | ~ spl15_46
    | ~ spl15_73 ),
    inference(backward_demodulation,[],[f655,f527]) ).

fof(f1482,plain,
    ( ~ spl15_61
    | ~ spl15_67 ),
    inference(avatar_contradiction_clause,[],[f1481]) ).

fof(f1481,plain,
    ( $false
    | ~ spl15_61
    | ~ spl15_67 ),
    inference(subsumption_resolution,[],[f1479,f278]) ).

fof(f1479,plain,
    ( e0 = e2
    | ~ spl15_61
    | ~ spl15_67 ),
    inference(backward_demodulation,[],[f594,f621]) ).

fof(f1475,plain,
    ( ~ spl15_54
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1474]) ).

fof(f1474,plain,
    ( $false
    | ~ spl15_54
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f1473,f275]) ).

fof(f1473,plain,
    ( e1 = e2
    | ~ spl15_54
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f807,f562]) ).

fof(f1471,plain,
    ( ~ spl15_67
    | ~ spl15_75
    | spl15_119 ),
    inference(avatar_split_clause,[],[f1340,f959,f662,f619]) ).

fof(f1340,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_75
    | spl15_119 ),
    inference(forward_demodulation,[],[f961,f664]) ).

fof(f961,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl15_119 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f1470,plain,
    ( ~ spl15_46
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f1327,f575,f525]) ).

fof(f1327,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_57 ),
    inference(forward_demodulation,[],[f105,f577]) ).

fof(f1469,plain,
    ( ~ spl15_71
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1468,plain,
    ( $false
    | ~ spl15_71
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f1467,f643]) ).

fof(f1467,plain,
    ( op(e0,e0) != e3
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f135,f780]) ).

fof(f1463,plain,
    ( spl15_64
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | spl15_64
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f1461,f780]) ).

fof(f1461,plain,
    ( e3 != op(e0,e3)
    | spl15_64
    | ~ spl15_95 ),
    inference(backward_demodulation,[],[f607,f780]) ).

fof(f1460,plain,
    ( ~ spl15_67
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f1339,f575,f619]) ).

fof(f1339,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_57 ),
    inference(forward_demodulation,[],[f131,f577]) ).

fof(f1455,plain,
    ( ~ spl15_16
    | ~ spl15_73 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | ~ spl15_16
    | ~ spl15_73 ),
    inference(subsumption_resolution,[],[f1453,f277]) ).

fof(f1453,plain,
    ( e2 = e3
    | ~ spl15_16
    | ~ spl15_73 ),
    inference(forward_demodulation,[],[f655,f392]) ).

fof(f1438,plain,
    ( ~ spl15_38
    | ~ spl15_40 ),
    inference(avatar_contradiction_clause,[],[f1437]) ).

fof(f1437,plain,
    ( $false
    | ~ spl15_38
    | ~ spl15_40 ),
    inference(subsumption_resolution,[],[f1436,f488]) ).

fof(f1436,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_40 ),
    inference(forward_demodulation,[],[f116,f496]) ).

fof(f1432,plain,
    ( ~ spl15_66
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f1431,f623,f614]) ).

fof(f1431,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_68 ),
    inference(forward_demodulation,[],[f103,f625]) ).

fof(f1425,plain,
    ( ~ spl15_38
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1424]) ).

fof(f1424,plain,
    ( $false
    | ~ spl15_38
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f1423,f277]) ).

fof(f1423,plain,
    ( e2 = e3
    | ~ spl15_38
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f780,f488]) ).

fof(f1410,plain,
    ( ~ spl15_48
    | ~ spl15_61 ),
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1409,plain,
    ( $false
    | ~ spl15_48
    | ~ spl15_61 ),
    inference(subsumption_resolution,[],[f1408,f277]) ).

fof(f1408,plain,
    ( e2 = e3
    | ~ spl15_48
    | ~ spl15_61 ),
    inference(forward_demodulation,[],[f535,f594]) ).

fof(f1386,plain,
    ( ~ spl15_45
    | ~ spl15_84 ),
    inference(avatar_split_clause,[],[f1385,f714,f519]) ).

fof(f1385,plain,
    ( e2 != op(e3,e2)
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f101,f716]) ).

fof(f1370,plain,
    ( ~ spl15_4
    | spl15_82 ),
    inference(avatar_contradiction_clause,[],[f1369]) ).

fof(f1369,plain,
    ( $false
    | ~ spl15_4
    | spl15_82 ),
    inference(subsumption_resolution,[],[f1368,f339]) ).

fof(f1368,plain,
    ( e3 != op(e2,e3)
    | ~ spl15_4
    | spl15_82 ),
    inference(backward_demodulation,[],[f702,f339]) ).

fof(f1367,plain,
    ( ~ spl15_34
    | ~ spl15_91 ),
    inference(avatar_contradiction_clause,[],[f1366]) ).

fof(f1366,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_91 ),
    inference(subsumption_resolution,[],[f1365,f278]) ).

fof(f1365,plain,
    ( e0 = e2
    | ~ spl15_34
    | ~ spl15_91 ),
    inference(forward_demodulation,[],[f756,f469]) ).

fof(f1361,plain,
    ( spl15_20
    | ~ spl15_57
    | ~ spl15_74 ),
    inference(avatar_contradiction_clause,[],[f1360]) ).

fof(f1360,plain,
    ( $false
    | spl15_20
    | ~ spl15_57
    | ~ spl15_74 ),
    inference(subsumption_resolution,[],[f1358,f577]) ).

fof(f1358,plain,
    ( e0 != op(e2,e1)
    | spl15_20
    | ~ spl15_74 ),
    inference(backward_demodulation,[],[f411,f659]) ).

fof(f1355,plain,
    ( ~ spl15_34
    | ~ spl15_53 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | ~ spl15_34
    | ~ spl15_53 ),
    inference(subsumption_resolution,[],[f1353,f274]) ).

fof(f1353,plain,
    ( e0 = e1
    | ~ spl15_34
    | ~ spl15_53 ),
    inference(backward_demodulation,[],[f558,f469]) ).

fof(f1347,plain,
    ( ~ spl15_65
    | spl15_49
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f1345,f592,f538,f610]) ).

fof(f1345,plain,
    ( e0 != op(e2,e2)
    | spl15_49
    | ~ spl15_61 ),
    inference(backward_demodulation,[],[f540,f594]) ).

fof(f540,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl15_49 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f1324,plain,
    ( ~ spl15_74
    | ~ spl15_75 ),
    inference(avatar_split_clause,[],[f1323,f662,f657]) ).

fof(f1323,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_75 ),
    inference(forward_demodulation,[],[f120,f664]) ).

fof(f1311,plain,
    ( ~ spl15_35
    | ~ spl15_68
    | spl15_101 ),
    inference(avatar_split_clause,[],[f1198,f811,f623,f472]) ).

fof(f1198,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_68
    | spl15_101 ),
    inference(forward_demodulation,[],[f813,f625]) ).

fof(f1303,plain,
    ( ~ spl15_32
    | ~ spl15_57 ),
    inference(avatar_split_clause,[],[f1302,f575,f459]) ).

fof(f1302,plain,
    ( e0 != op(e0,e1)
    | ~ spl15_57 ),
    inference(forward_demodulation,[],[f92,f577]) ).

fof(f1289,plain,
    ( ~ spl15_35
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f1288,f556,f472]) ).

fof(f1288,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_53 ),
    inference(forward_demodulation,[],[f94,f558]) ).

fof(f1286,plain,
    ( ~ spl15_54
    | spl15_77 ),
    inference(avatar_contradiction_clause,[],[f1285]) ).

fof(f1285,plain,
    ( $false
    | ~ spl15_54
    | spl15_77 ),
    inference(subsumption_resolution,[],[f1284,f562]) ).

fof(f1284,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_54
    | spl15_77 ),
    inference(forward_demodulation,[],[f678,f562]) ).

fof(f678,plain,
    ( e1 != op(e0,op(e0,e1))
    | spl15_77 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1283,plain,
    ( ~ spl15_74
    | ~ spl15_90 ),
    inference(avatar_split_clause,[],[f1282,f748,f657]) ).

fof(f1282,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_90 ),
    inference(backward_demodulation,[],[f127,f750]) ).

fof(f1275,plain,
    ( spl15_19
    | ~ spl15_45 ),
    inference(avatar_contradiction_clause,[],[f1274]) ).

fof(f1274,plain,
    ( $false
    | spl15_19
    | ~ spl15_45 ),
    inference(subsumption_resolution,[],[f1273,f521]) ).

fof(f1273,plain,
    ( e2 != op(e3,e2)
    | spl15_19
    | ~ spl15_45 ),
    inference(forward_demodulation,[],[f406,f521]) ).

fof(f406,plain,
    ( e2 != op(e3,op(e3,e2))
    | spl15_19 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f1261,plain,
    ( ~ spl15_98
    | ~ spl15_45 ),
    inference(avatar_split_clause,[],[f1260,f519,f796]) ).

fof(f1260,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_45 ),
    inference(forward_demodulation,[],[f126,f521]) ).

fof(f1259,plain,
    ( ~ spl15_75
    | ~ spl15_53 ),
    inference(avatar_split_clause,[],[f1258,f556,f662]) ).

fof(f1258,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_53 ),
    inference(forward_demodulation,[],[f110,f558]) ).

fof(f1255,plain,
    ( ~ spl15_46
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f1254,f547,f525]) ).

fof(f1254,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_51 ),
    inference(forward_demodulation,[],[f97,f549]) ).

fof(f1253,plain,
    ( ~ spl15_4
    | ~ spl15_40 ),
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_40 ),
    inference(subsumption_resolution,[],[f1251,f277]) ).

fof(f1251,plain,
    ( e2 = e3
    | ~ spl15_4
    | ~ spl15_40 ),
    inference(backward_demodulation,[],[f339,f496]) ).

fof(f1249,plain,
    ( ~ spl15_85
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f1248,f547,f718]) ).

fof(f1248,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_51 ),
    inference(forward_demodulation,[],[f122,f549]) ).

fof(f1247,plain,
    ( ~ spl15_85
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f1246,f610,f718]) ).

fof(f1246,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_65 ),
    inference(forward_demodulation,[],[f99,f612]) ).

fof(f1237,plain,
    ( ~ spl15_46
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f1236]) ).

fof(f1236,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f1235,f527]) ).

fof(f1235,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_65 ),
    inference(forward_demodulation,[],[f120,f612]) ).

fof(f1232,plain,
    ( ~ spl15_65
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f1231]) ).

fof(f1231,plain,
    ( $false
    | ~ spl15_65
    | ~ spl15_75 ),
    inference(subsumption_resolution,[],[f1230,f274]) ).

fof(f1230,plain,
    ( e0 = e1
    | ~ spl15_65
    | ~ spl15_75 ),
    inference(forward_demodulation,[],[f664,f612]) ).

fof(f1223,plain,
    ( ~ spl15_70
    | spl15_106 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | ~ spl15_70
    | spl15_106 ),
    inference(subsumption_resolution,[],[f1221,f637]) ).

fof(f1221,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_70
    | spl15_106 ),
    inference(forward_demodulation,[],[f847,f637]) ).

fof(f1218,plain,
    ( ~ spl15_87
    | ~ spl15_68 ),
    inference(avatar_split_clause,[],[f1217,f623,f727]) ).

fof(f1217,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_68 ),
    inference(forward_demodulation,[],[f119,f625]) ).

fof(f1216,plain,
    ( ~ spl15_46
    | ~ spl15_74 ),
    inference(avatar_contradiction_clause,[],[f1215]) ).

fof(f1215,plain,
    ( $false
    | ~ spl15_46
    | ~ spl15_74 ),
    inference(subsumption_resolution,[],[f1214,f274]) ).

fof(f1214,plain,
    ( e0 = e1
    | ~ spl15_46
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f659,f527]) ).

fof(f1204,plain,
    ( ~ spl15_60
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1203]) ).

fof(f1203,plain,
    ( $false
    | ~ spl15_60
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f1202,f277]) ).

fof(f1202,plain,
    ( e2 = e3
    | ~ spl15_60
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f643,f590]) ).

fof(f1194,plain,
    ( ~ spl15_87
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f1193,f459,f727]) ).

fof(f1193,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_32 ),
    inference(forward_demodulation,[],[f132,f461]) ).

fof(f1188,plain,
    ( ~ spl15_35
    | ~ spl15_38 ),
    inference(avatar_contradiction_clause,[],[f1187]) ).

fof(f1187,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_38 ),
    inference(subsumption_resolution,[],[f1186,f275]) ).

fof(f1186,plain,
    ( e1 = e2
    | ~ spl15_35
    | ~ spl15_38 ),
    inference(forward_demodulation,[],[f488,f474]) ).

fof(f1184,plain,
    ( ~ spl15_45
    | ~ spl15_63 ),
    inference(avatar_contradiction_clause,[],[f1183]) ).

fof(f1183,plain,
    ( $false
    | ~ spl15_45
    | ~ spl15_63 ),
    inference(subsumption_resolution,[],[f1182,f277]) ).

fof(f1182,plain,
    ( e2 = e3
    | ~ spl15_45
    | ~ spl15_63 ),
    inference(backward_demodulation,[],[f601,f521]) ).

fof(f1175,plain,
    ( ~ spl15_53
    | ~ spl15_65
    | spl15_79 ),
    inference(avatar_contradiction_clause,[],[f1174]) ).

fof(f1174,plain,
    ( $false
    | ~ spl15_53
    | ~ spl15_65
    | spl15_79 ),
    inference(subsumption_resolution,[],[f1173,f558]) ).

fof(f1173,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_65
    | spl15_79 ),
    inference(forward_demodulation,[],[f687,f612]) ).

fof(f687,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl15_79 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f685,plain,
    ( spl15_79
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).

fof(f1169,plain,
    ( ~ spl15_61
    | ~ spl15_39 ),
    inference(avatar_split_clause,[],[f1168,f490,f592]) ).

fof(f1168,plain,
    ( e2 != op(e1,e1)
    | ~ spl15_39 ),
    inference(forward_demodulation,[],[f98,f492]) ).

fof(f1160,plain,
    ( ~ spl15_68
    | ~ spl15_48
    | spl15_49 ),
    inference(avatar_split_clause,[],[f1158,f538,f534,f623]) ).

fof(f1158,plain,
    ( e0 != op(e3,e3)
    | ~ spl15_48
    | spl15_49 ),
    inference(backward_demodulation,[],[f540,f535]) ).

fof(f1157,plain,
    ( ~ spl15_67
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f1156,f547,f619]) ).

fof(f1156,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_51 ),
    inference(forward_demodulation,[],[f134,f549]) ).

fof(f1150,plain,
    ( ~ spl15_87
    | ~ spl15_44 ),
    inference(avatar_split_clause,[],[f1149,f514,f727]) ).

fof(f1149,plain,
    ( e0 != op(e3,e1)
    | ~ spl15_44 ),
    inference(forward_demodulation,[],[f121,f516]) ).

fof(f1148,plain,
    ( ~ spl15_44
    | ~ spl15_46 ),
    inference(avatar_contradiction_clause,[],[f1147]) ).

fof(f1147,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_46 ),
    inference(subsumption_resolution,[],[f1146,f527]) ).

fof(f1146,plain,
    ( e0 != op(e2,e0)
    | ~ spl15_44 ),
    inference(forward_demodulation,[],[f127,f516]) ).

fof(f1143,plain,
    ( ~ spl15_44
    | ~ spl15_51 ),
    inference(avatar_contradiction_clause,[],[f1142]) ).

fof(f1142,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_51 ),
    inference(subsumption_resolution,[],[f1141,f549]) ).

fof(f1141,plain,
    ( e0 != op(e1,e0)
    | ~ spl15_44 ),
    inference(forward_demodulation,[],[f107,f516]) ).

fof(f1136,plain,
    ( ~ spl15_102
    | ~ spl15_63 ),
    inference(avatar_split_clause,[],[f1135,f600,f817]) ).

fof(f1135,plain,
    ( e3 != op(e0,e2)
    | ~ spl15_63 ),
    inference(forward_demodulation,[],[f89,f601]) ).

fof(f1132,plain,
    ( ~ spl15_44
    | spl15_103 ),
    inference(avatar_contradiction_clause,[],[f1131]) ).

fof(f1131,plain,
    ( $false
    | ~ spl15_44
    | spl15_103 ),
    inference(subsumption_resolution,[],[f1130,f516]) ).

fof(f1130,plain,
    ( e0 != op(e3,e0)
    | ~ spl15_44
    | spl15_103 ),
    inference(forward_demodulation,[],[f825,f516]) ).

fof(f1128,plain,
    ( ~ spl15_33
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1127]) ).

fof(f1127,plain,
    ( $false
    | ~ spl15_33
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f1126,f276]) ).

fof(f1126,plain,
    ( e0 = e3
    | ~ spl15_33
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f643,f465]) ).

fof(f1125,plain,
    ( ~ spl15_55
    | ~ spl15_32
    | spl15_77 ),
    inference(avatar_split_clause,[],[f1124,f676,f459,f564]) ).

fof(f1124,plain,
    ( op(e0,e0) != e1
    | ~ spl15_32
    | spl15_77 ),
    inference(backward_demodulation,[],[f678,f461]) ).

fof(f1122,plain,
    ( ~ spl15_10
    | ~ spl15_71
    | spl15_97 ),
    inference(avatar_contradiction_clause,[],[f1121]) ).

fof(f1121,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_71
    | spl15_97 ),
    inference(subsumption_resolution,[],[f1120,f365]) ).

fof(f1120,plain,
    ( e1 != op(e3,e3)
    | ~ spl15_71
    | spl15_97 ),
    inference(forward_demodulation,[],[f793,f643]) ).

fof(f1119,plain,
    ( ~ spl15_12
    | ~ spl15_48 ),
    inference(avatar_contradiction_clause,[],[f1118]) ).

fof(f1118,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_48 ),
    inference(subsumption_resolution,[],[f1117,f273]) ).

fof(f1117,plain,
    ( e1 = e3
    | ~ spl15_12
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f535,f375]) ).

fof(f1116,plain,
    ( ~ spl15_105
    | ~ spl15_44 ),
    inference(avatar_split_clause,[],[f1115,f514,f838]) ).

fof(f1115,plain,
    ( e0 != op(e3,e2)
    | ~ spl15_44 ),
    inference(backward_demodulation,[],[f126,f516]) ).

fof(f1114,plain,
    ( ~ spl15_10
    | ~ spl15_41 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_41 ),
    inference(subsumption_resolution,[],[f1112,f275]) ).

fof(f1112,plain,
    ( e1 = e2
    | ~ spl15_10
    | ~ spl15_41 ),
    inference(forward_demodulation,[],[f500,f365]) ).

fof(f1110,plain,
    ( ~ spl15_99
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f1107,f399,f801]) ).

fof(f1107,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_18 ),
    inference(backward_demodulation,[],[f132,f401]) ).

fof(f1105,plain,
    ( ~ spl15_16
    | ~ spl15_46 ),
    inference(avatar_contradiction_clause,[],[f1104]) ).

fof(f1104,plain,
    ( $false
    | ~ spl15_16
    | ~ spl15_46 ),
    inference(subsumption_resolution,[],[f1103,f278]) ).

fof(f1103,plain,
    ( e0 = e2
    | ~ spl15_16
    | ~ spl15_46 ),
    inference(backward_demodulation,[],[f392,f527]) ).

fof(f1092,plain,
    ( ~ spl15_25
    | spl15_64
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1091]) ).

fof(f1091,plain,
    ( $false
    | ~ spl15_25
    | spl15_64
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f1090,f643]) ).

fof(f1090,plain,
    ( op(e0,e0) != e3
    | ~ spl15_25
    | spl15_64 ),
    inference(forward_demodulation,[],[f607,f432]) ).

fof(f1085,plain,
    ( ~ spl15_104
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f1077,f364,f830]) ).

fof(f1077,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f130,f365]) ).

fof(f1084,plain,
    ( ~ spl15_70
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f1075,f364,f635]) ).

fof(f1075,plain,
    ( e1 != op(e3,e1)
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f119,f365]) ).

fof(f1083,plain,
    ( ~ spl15_94
    | ~ spl15_10
    | spl15_118 ),
    inference(avatar_split_clause,[],[f1079,f950,f364,f769]) ).

fof(f1079,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_10
    | spl15_118 ),
    inference(backward_demodulation,[],[f952,f365]) ).

fof(f1082,plain,
    ( ~ spl15_67
    | ~ spl15_10
    | spl15_11 ),
    inference(avatar_split_clause,[],[f1078,f368,f364,f619]) ).

fof(f1078,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_10
    | spl15_11 ),
    inference(backward_demodulation,[],[f370,f365]) ).

fof(f1080,plain,
    ( ~ spl15_15
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f1076,f364,f385]) ).

fof(f1076,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f129,f365]) ).

fof(f1073,plain,
    ( ~ spl15_25
    | spl15_42
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1072]) ).

fof(f1072,plain,
    ( $false
    | ~ spl15_25
    | spl15_42
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f1065,f432]) ).

fof(f1065,plain,
    ( e0 != op(e0,e3)
    | spl15_42
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f505,f643]) ).

fof(f1071,plain,
    ( ~ spl15_99
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f1064,f641,f801]) ).

fof(f1064,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f128,f643]) ).

fof(f1070,plain,
    ( ~ spl15_43
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f1063,f641,f508]) ).

fof(f1063,plain,
    ( e3 != op(e3,e0)
    | ~ spl15_71 ),
    inference(backward_demodulation,[],[f123,f643]) ).

fof(f1068,plain,
    ( ~ spl15_41
    | ~ spl15_71
    | spl15_92 ),
    inference(avatar_split_clause,[],[f1066,f760,f641,f498]) ).

fof(f1066,plain,
    ( e2 != op(e3,e3)
    | ~ spl15_71
    | spl15_92 ),
    inference(backward_demodulation,[],[f762,f643]) ).

fof(f1062,plain,
    ( ~ spl15_62
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f1058,f390,f596]) ).

fof(f1058,plain,
    ( e2 != op(e2,e2)
    | ~ spl15_16 ),
    inference(backward_demodulation,[],[f120,f392]) ).

fof(f1061,plain,
    ( ~ spl15_60
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f1059,f390,f588]) ).

fof(f1059,plain,
    ( op(e0,e0) != e2
    | ~ spl15_16 ),
    inference(backward_demodulation,[],[f96,f392]) ).

fof(f1060,plain,
    ( ~ spl15_98
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f1057,f390,f796]) ).

fof(f1057,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_16 ),
    inference(backward_demodulation,[],[f127,f392]) ).

fof(f1056,plain,
    ( ~ spl15_67
    | ~ spl15_12
    | spl15_49 ),
    inference(avatar_split_clause,[],[f1046,f538,f373,f619]) ).

fof(f1046,plain,
    ( e0 != op(e1,e1)
    | ~ spl15_12
    | spl15_49 ),
    inference(backward_demodulation,[],[f540,f375]) ).

fof(f1054,plain,
    ( ~ spl15_15
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f1047,f373,f385]) ).

fof(f1047,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f98,f375]) ).

fof(f1052,plain,
    ( ~ spl15_54
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f1049,f373,f560]) ).

fof(f1049,plain,
    ( e1 != op(e0,e1)
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f91,f375]) ).

fof(f1051,plain,
    ( ~ spl15_14
    | ~ spl15_12 ),
    inference(avatar_split_clause,[],[f1048,f373,f381]) ).

fof(f1048,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f104,f375]) ).

fof(f1044,plain,
    ( ~ spl15_25
    | ~ spl15_38 ),
    inference(avatar_contradiction_clause,[],[f1043]) ).

fof(f1043,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_38 ),
    inference(subsumption_resolution,[],[f1042,f278]) ).

fof(f1042,plain,
    ( e0 = e2
    | ~ spl15_25
    | ~ spl15_38 ),
    inference(forward_demodulation,[],[f488,f432]) ).

fof(f1041,plain,
    ( ~ spl15_25
    | ~ spl15_35 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1040,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_35 ),
    inference(subsumption_resolution,[],[f1039,f274]) ).

fof(f1039,plain,
    ( e0 = e1
    | ~ spl15_25
    | ~ spl15_35 ),
    inference(backward_demodulation,[],[f474,f432]) ).

fof(f1028,plain,
    ( ~ spl15_4
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f1027]) ).

fof(f1027,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_36 ),
    inference(subsumption_resolution,[],[f1026,f273]) ).

fof(f1026,plain,
    ( e1 = e3
    | ~ spl15_4
    | ~ spl15_36 ),
    inference(backward_demodulation,[],[f339,f478]) ).

fof(f1025,plain,
    ( ~ spl15_15
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f1021,f472,f385]) ).

fof(f1021,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_35 ),
    inference(backward_demodulation,[],[f115,f474]) ).

fof(f1023,plain,
    ( ~ spl15_10
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f1020,f472,f364]) ).

fof(f1020,plain,
    ( e1 != op(e3,e3)
    | ~ spl15_35 ),
    inference(backward_demodulation,[],[f102,f474]) ).

fof(f1022,plain,
    ( ~ spl15_55
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f1018,f472,f564]) ).

fof(f1018,plain,
    ( op(e0,e0) != e1
    | ~ spl15_35 ),
    inference(backward_demodulation,[],[f135,f474]) ).

fof(f1017,plain,
    ( ~ spl15_13
    | ~ spl15_51 ),
    inference(avatar_contradiction_clause,[],[f1016]) ).

fof(f1016,plain,
    ( $false
    | ~ spl15_13
    | ~ spl15_51 ),
    inference(subsumption_resolution,[],[f1015,f274]) ).

fof(f1015,plain,
    ( e0 = e1
    | ~ spl15_13
    | ~ spl15_51 ),
    inference(backward_demodulation,[],[f379,f549]) ).

fof(f1014,plain,
    ( ~ spl15_76
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f1004,f337,f668]) ).

fof(f1004,plain,
    ( e3 != op(e3,e3)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f103,f339]) ).

fof(f1013,plain,
    ( ~ spl15_95
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f1003,f337,f778]) ).

fof(f1003,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f116,f339]) ).

fof(f1011,plain,
    ( ~ spl15_73
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f1007,f337,f653]) ).

fof(f1007,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f124,f339]) ).

fof(f1002,plain,
    ( ~ spl15_55
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f992,f377,f564]) ).

fof(f992,plain,
    ( op(e0,e0) != e1
    | ~ spl15_13 ),
    inference(backward_demodulation,[],[f117,f379]) ).

fof(f1001,plain,
    ( ~ spl15_14
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f995,f377,f381]) ).

fof(f995,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_13 ),
    inference(backward_demodulation,[],[f122,f379]) ).

fof(f1000,plain,
    ( ~ spl15_74
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f996,f377,f657]) ).

fof(f996,plain,
    ( e1 != op(e2,e0)
    | ~ spl15_13 ),
    inference(backward_demodulation,[],[f97,f379]) ).

fof(f999,plain,
    ( ~ spl15_15
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f993,f377,f385]) ).

fof(f993,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_13 ),
    inference(backward_demodulation,[],[f136,f379]) ).

fof(f998,plain,
    ( ~ spl15_12
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f991,f377,f373]) ).

fof(f991,plain,
    ( e1 != op(e1,e1)
    | ~ spl15_13 ),
    inference(backward_demodulation,[],[f134,f379]) ).

fof(f990,plain,
    ( ~ spl15_25
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f983,f467,f430]) ).

fof(f983,plain,
    ( e0 != op(e0,e3)
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f94,f469]) ).

fof(f989,plain,
    ( ~ spl15_65
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f981,f467,f610]) ).

fof(f981,plain,
    ( e0 != op(e2,e2)
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f110,f469]) ).

fof(f985,plain,
    ( ~ spl15_85
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f979,f467,f718]) ).

fof(f979,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f112,f469]) ).

fof(f978,plain,
    ( ~ spl15_6
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f238,f324,f346]) ).

fof(f324,plain,
    ( spl15_1
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f238,plain,
    ( ~ sP1
    | e1 != op(e2,op(e2,e1)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( e0 != op(e2,op(e2,e0))
      & e2 = op(e2,e0)
      & e3 != op(e2,op(e2,e3))
      & e1 != op(e2,op(e2,e1))
      & e2 != op(e2,op(e2,e2))
      & e2 = op(e0,e2) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e0 != op(e2,op(e2,e0))
      & e2 = op(e2,e0)
      & e3 != op(e2,op(e2,e3))
      & e1 != op(e2,op(e2,e1))
      & e2 != op(e2,op(e2,e2))
      & e2 = op(e0,e2) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f977,plain,
    ( ~ spl15_26
    | ~ spl15_72 ),
    inference(avatar_split_clause,[],[f227,f646,f434]) ).

fof(f434,plain,
    ( spl15_26
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f227,plain,
    ( e0 != op(e1,op(e1,e0))
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( e1 = op(e2,e1)
      & e1 != op(e1,op(e1,e1))
      & e0 != op(e1,op(e1,e0))
      & e1 = op(e1,e2)
      & e2 != op(e1,op(e1,e2))
      & e3 != op(e1,op(e1,e3)) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e1 = op(e2,e1)
      & e1 != op(e1,op(e1,e1))
      & e0 != op(e1,op(e1,e0))
      & e1 = op(e1,e2)
      & e2 != op(e1,op(e1,e2))
      & e3 != op(e1,op(e1,e3)) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f976,plain,
    ( spl15_113
    | spl15_41
    | spl15_98
    | spl15_45 ),
    inference(avatar_split_clause,[],[f283,f519,f796,f498,f901]) ).

fof(f283,plain,
    ( e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | e2 = op(e3,e3)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f975,plain,
    ( ~ spl15_1
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f239,f700,f324]) ).

fof(f239,plain,
    ( e3 != op(e2,op(e2,e3))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f974,plain,
    ( spl15_108
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f195,f395,f861]) ).

fof(f395,plain,
    ( spl15_17
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f195,plain,
    ( ~ sP8
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( e0 != op(e3,op(e3,e0))
      & e2 != op(e3,op(e3,e2))
      & e1 != op(e3,op(e3,e1))
      & e3 != op(e3,op(e3,e3))
      & e3 = op(e1,e3)
      & e3 = op(e3,e1) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( e0 != op(e3,op(e3,e0))
      & e2 != op(e3,op(e3,e2))
      & e1 != op(e3,op(e3,e1))
      & e3 != op(e3,op(e3,e3))
      & e3 = op(e1,e3)
      & e3 = op(e3,e1) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f972,plain,
    ( spl15_26
    | spl15_30
    | spl15_3
    | spl15_28
    | spl15_7
    | spl15_31
    | spl15_22
    | ~ spl15_107
    | spl15_21
    | spl15_23
    | spl15_27
    | spl15_24
    | spl15_29
    | spl15_5
    | spl15_17
    | spl15_1 ),
    inference(avatar_split_clause,[],[f251,f324,f395,f342,f446,f426,f438,f422,f414,f854,f418,f454,f351,f442,f333,f450,f434]) ).

fof(f450,plain,
    ( spl15_30
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

fof(f333,plain,
    ( spl15_3
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f442,plain,
    ( spl15_28
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f351,plain,
    ( spl15_7
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f454,plain,
    ( spl15_31
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

fof(f418,plain,
    ( spl15_22
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f414,plain,
    ( spl15_21
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).

fof(f422,plain,
    ( spl15_23
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

fof(f438,plain,
    ( spl15_27
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f426,plain,
    ( spl15_24
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f446,plain,
    ( spl15_29
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).

fof(f342,plain,
    ( spl15_5
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f251,plain,
    ( sP1
    | sP8
    | sP2
    | sP7
    | sP10
    | sP4
    | sP14
    | sP6
    | e2 != op(e0,op(e0,e2))
    | sP5
    | sP12
    | sP11
    | sP13
    | sP0
    | sP9
    | sP3 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ( e2 = op(e2,e2)
      | e2 = op(e1,e1)
      | e2 = op(e3,e3)
      | op(e0,e0) = e2
      | e3 != op(e3,e2) )
    & ( e1 = op(e2,e2)
      | e3 != op(e3,e1)
      | op(e0,e0) = e1
      | e1 = op(e3,e3)
      | e1 = op(e1,e1) )
    & ( e0 != op(e0,e1)
      | e1 = op(e2,e2)
      | e1 = op(e3,e3)
      | e1 = op(e1,e1)
      | op(e0,e0) = e1 )
    & ( e0 = op(e1,e1)
      | e3 != op(e3,e0)
      | e0 = op(e0,e0)
      | e0 = op(e3,e3)
      | e0 = op(e2,e2) )
    & ( e3 = op(e2,e2)
      | e3 = op(e3,e3)
      | e1 != op(e1,e3)
      | e3 = op(e1,e1)
      | op(e0,e0) = e3 )
    & ( e3 = op(e1,e1)
      | e3 = op(e2,e2)
      | e3 != op(e3,e3)
      | e3 = op(e3,e3)
      | op(e0,e0) = e3 )
    & ( e2 != op(e2,e1)
      | e1 = op(e3,e3)
      | e1 = op(e2,e2)
      | op(e0,e0) = e1
      | e1 = op(e1,e1) )
    & ( e0 = op(e3,e3)
      | e0 = op(e2,e2)
      | e0 = op(e0,e0)
      | e0 = op(e1,e1)
      | e2 != op(e2,e0) )
    & ( e2 = op(e3,e3)
      | e2 = op(e2,e2)
      | e2 = op(e1,e1)
      | op(e0,e0) = e2
      | e2 != op(e2,e2) )
    & ( op(e0,e0) = e1
      | e1 = op(e3,e3)
      | e1 != op(e1,e1)
      | e1 = op(e1,e1)
      | e1 = op(e2,e2) )
    & ( e3 = op(e2,e2)
      | e3 = op(e3,e3)
      | e0 != op(e0,e3)
      | e3 = op(e1,e1)
      | op(e0,e0) = e3 )
    & ( e0 = op(e3,e3)
      | e1 != op(e1,e0)
      | e0 = op(e0,e0)
      | e0 = op(e1,e1)
      | e0 = op(e2,e2) )
    & ( e1 != op(e1,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e1)
      | e2 = op(e3,e3)
      | op(e0,e0) = e2 )
    & ( e0 = op(e0,e0)
      | e0 != op(e0,e0)
      | e0 = op(e1,e1)
      | e0 = op(e2,e2)
      | e0 = op(e3,e3) )
    & ( e2 = op(e3,e3)
      | e2 = op(e2,e2)
      | e2 = op(e1,e1)
      | op(e0,e0) = e2
      | e0 != op(e0,e2) )
    & ( ( e0 = op(e3,e0)
        & e3 != op(e0,op(e0,e3))
        & e0 = op(e0,e3)
        & e2 != op(e0,op(e0,e2))
        & e1 != op(e0,op(e0,e1))
        & e0 != op(e0,op(e0,e0)) )
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( e3 = op(e2,e2)
      | e3 = op(e1,e1)
      | e3 = op(e3,e3)
      | e2 != op(e2,e3)
      | op(e0,e0) = e3 ) ),
    inference(definition_folding,[],[f5,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).

fof(f54,plain,
    ( ( e3 = op(e3,e2)
      & e2 != op(e3,op(e3,e2))
      & e3 = op(e2,e3)
      & e1 != op(e3,op(e3,e1))
      & e0 != op(e3,op(e3,e0))
      & e3 != op(e3,op(e3,e3)) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f56,plain,
    ( ( e2 = op(e1,e2)
      & e2 = op(e2,e1)
      & e1 != op(e2,op(e2,e1))
      & e3 != op(e2,op(e2,e3))
      & e2 != op(e2,op(e2,e2))
      & e0 != op(e2,op(e2,e0)) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f58,plain,
    ( ( e0 != op(e2,op(e2,e0))
      & e1 != op(e2,op(e2,e1))
      & e2 = op(e2,e3)
      & e3 != op(e2,op(e2,e3))
      & e2 = op(e3,e2)
      & e2 != op(e2,op(e2,e2)) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f59,plain,
    ( ( e0 = op(e0,e0)
      & e2 != op(e0,op(e0,e2))
      & e0 != op(e0,op(e0,e0))
      & e1 != op(e0,op(e0,e1))
      & e0 = op(e0,e0)
      & e3 != op(e0,op(e0,e3)) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f60,plain,
    ( ( e3 != op(e3,op(e3,e3))
      & e2 != op(e3,op(e3,e2))
      & e0 != op(e3,op(e3,e0))
      & e3 = op(e0,e3)
      & e1 != op(e3,op(e3,e1))
      & e3 = op(e3,e0) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f61,plain,
    ( ( e0 != op(e3,op(e3,e0))
      & e2 != op(e3,op(e3,e2))
      & e3 != op(e3,op(e3,e3))
      & e3 = op(e3,e3)
      & e1 != op(e3,op(e3,e1))
      & e3 = op(e3,e3) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f63,plain,
    ( ( e3 != op(e0,op(e0,e3))
      & e2 != op(e0,op(e0,e2))
      & e0 = op(e0,e1)
      & e0 != op(e0,op(e0,e0))
      & e0 = op(e1,e0)
      & e1 != op(e0,op(e0,e1)) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f64,plain,
    ( ( e3 != op(e1,op(e1,e3))
      & e1 = op(e1,e1)
      & e1 = op(e1,e1)
      & e1 != op(e1,op(e1,e1))
      & e0 != op(e1,op(e1,e0))
      & e2 != op(e1,op(e1,e2)) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f65,plain,
    ( ( e1 = op(e0,e1)
      & e1 = op(e1,e0)
      & e0 != op(e1,op(e1,e0))
      & e1 != op(e1,op(e1,e1))
      & e3 != op(e1,op(e1,e3))
      & e2 != op(e1,op(e1,e2)) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f66,plain,
    ( ( e1 != op(e2,op(e2,e1))
      & e2 != op(e2,op(e2,e2))
      & e2 = op(e2,e2)
      & e2 = op(e2,e2)
      & e0 != op(e2,op(e2,e0))
      & e3 != op(e2,op(e2,e3)) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f67,plain,
    ( ( e0 != op(e1,op(e1,e0))
      & e1 != op(e1,op(e1,e1))
      & e1 = op(e3,e1)
      & e3 != op(e1,op(e1,e3))
      & e2 != op(e1,op(e1,e2))
      & e1 = op(e1,e3) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f68,plain,
    ( ( e3 != op(e0,op(e0,e3))
      & e2 != op(e0,op(e0,e2))
      & e0 = op(e2,e0)
      & e0 != op(e0,op(e0,e0))
      & e0 = op(e0,e2)
      & e1 != op(e0,op(e0,e1)) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

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

fof(f971,plain,
    ( ~ spl15_21
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f211,f912,f414]) ).

fof(f211,plain,
    ( e3 != op(e3,op(e3,e3))
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ( e3 != op(e3,op(e3,e3))
      & e2 != op(e3,op(e3,e2))
      & e0 != op(e3,op(e3,e0))
      & e3 = op(e0,e3)
      & e1 != op(e3,op(e3,e1))
      & e3 = op(e3,e0) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f970,plain,
    ( ~ spl15_69
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f225,f434,f628]) ).

fof(f225,plain,
    ( ~ sP3
    | e2 != op(e1,op(e1,e2)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f969,plain,
    ( ~ spl15_114
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f196,f395,f912]) ).

fof(f196,plain,
    ( ~ sP8
    | e3 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f968,plain,
    ( ~ spl15_82
    | ~ spl15_31 ),
    inference(avatar_split_clause,[],[f170,f454,f700]) ).

fof(f170,plain,
    ( ~ sP12
    | e3 != op(e2,op(e2,e3)) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ( e1 != op(e2,op(e2,e1))
      & e2 != op(e2,op(e2,e2))
      & e2 = op(e2,e2)
      & e2 = op(e2,e2)
      & e0 != op(e2,op(e2,e0))
      & e3 != op(e2,op(e2,e3)) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f967,plain,
    ( spl15_68
    | spl15_65
    | ~ spl15_16
    | spl15_67
    | spl15_33 ),
    inference(avatar_split_clause,[],[f262,f463,f619,f390,f610,f623]) ).

fof(f262,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e1,e1)
    | e2 != op(e2,e0)
    | e0 = op(e2,e2)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f966,plain,
    ( spl15_76
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f200,f446,f668]) ).

fof(f200,plain,
    ( ~ sP7
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ( e0 != op(e3,op(e3,e0))
      & e2 != op(e3,op(e3,e2))
      & e3 != op(e3,op(e3,e3))
      & e3 = op(e3,e3)
      & e1 != op(e3,op(e3,e1))
      & e3 = op(e3,e3) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f965,plain,
    ( spl15_104
    | spl15_105
    | spl15_45
    | spl15_63 ),
    inference(avatar_split_clause,[],[f147,f600,f519,f838,f830]) ).

fof(f147,plain,
    ( e3 = op(e3,e2)
    | e2 = op(e3,e2)
    | e0 = op(e3,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f963,plain,
    ( spl15_99
    | spl15_95
    | spl15_102
    | spl15_71 ),
    inference(avatar_split_clause,[],[f313,f641,f817,f778,f801]) ).

fof(f313,plain,
    ( op(e0,e0) = e3
    | e3 = op(e0,e2)
    | e3 = op(e0,e3)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f957,plain,
    ( ~ spl15_77
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f188,f450,f676]) ).

fof(f188,plain,
    ( ~ sP9
    | e1 != op(e0,op(e0,e1)) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ( e3 != op(e0,op(e0,e3))
      & e2 != op(e0,op(e0,e2))
      & e0 = op(e0,e1)
      & e0 != op(e0,op(e0,e0))
      & e0 = op(e1,e0)
      & e1 != op(e0,op(e0,e1)) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f956,plain,
    ( spl15_113
    | spl15_70
    | spl15_87
    | spl15_18 ),
    inference(avatar_split_clause,[],[f155,f399,f727,f635,f901]) ).

fof(f155,plain,
    ( e3 = op(e3,e1)
    | e0 = op(e3,e1)
    | e1 = op(e3,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f955,plain,
    ( ~ spl15_118
    | ~ spl15_10
    | ~ spl15_116 ),
    inference(avatar_split_clause,[],[f137,f925,f364,f950]) ).

fof(f137,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3)
    | e0 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f9]) ).

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

fof(f954,plain,
    ( spl15_60
    | spl15_98
    | spl15_16
    | spl15_50 ),
    inference(avatar_split_clause,[],[f301,f543,f390,f796,f588]) ).

fof(f301,plain,
    ( e2 = op(e1,e0)
    | e2 = op(e2,e0)
    | e2 = op(e3,e0)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f953,plain,
    ( ~ spl15_118
    | ~ spl15_115
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f138,f498,f920,f950]) ).

fof(f138,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( e2 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f948,plain,
    ( ~ spl15_61
    | ~ spl15_110
    | ~ spl15_117 ),
    inference(avatar_split_clause,[],[f85,f945,f878,f592]) ).

fof(f85,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | e0 != op(op(e1,e1),e1)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f10]) ).

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

fof(f943,plain,
    ( ~ spl15_3
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f244,f845,f333]) ).

fof(f244,plain,
    ( e1 != op(e3,op(e3,e1))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( e3 = op(e3,e2)
      & e2 != op(e3,op(e3,e2))
      & e3 = op(e2,e3)
      & e1 != op(e3,op(e3,e1))
      & e0 != op(e3,op(e3,e0))
      & e3 != op(e3,op(e3,e3)) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f942,plain,
    ( ~ spl15_112
    | ~ spl15_55
    | ~ spl15_96 ),
    inference(avatar_split_clause,[],[f281,f787,f564,f895]) ).

fof(f281,plain,
    ( e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e3 = op(op(e0,e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f941,plain,
    ( ~ spl15_19
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f210,f414,f404]) ).

fof(f210,plain,
    ( ~ sP6
    | e2 != op(e3,op(e3,e2)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f940,plain,
    ( ~ spl15_23
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f163,f605,f422]) ).

fof(f163,plain,
    ( e3 != op(e0,op(e0,e3))
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ( e3 != op(e0,op(e0,e3))
      & e2 != op(e0,op(e0,e2))
      & e0 = op(e2,e0)
      & e0 != op(e0,op(e0,e0))
      & e0 = op(e0,e2)
      & e1 != op(e0,op(e0,e1)) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f939,plain,
    ( spl15_76
    | spl15_63
    | spl15_43
    | spl15_18 ),
    inference(avatar_split_clause,[],[f294,f399,f508,f600,f668]) ).

fof(f294,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e3,e0)
    | e3 = op(e3,e2)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f938,plain,
    ( ~ spl15_3
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f242,f912,f333]) ).

fof(f242,plain,
    ( e3 != op(e3,op(e3,e3))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f937,plain,
    ( ~ spl15_24
    | spl15_12 ),
    inference(avatar_split_clause,[],[f186,f373,f426]) ).

fof(f186,plain,
    ( e1 = op(e1,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( e3 != op(e1,op(e1,e3))
      & e1 = op(e1,e1)
      & e1 = op(e1,e1)
      & e1 != op(e1,op(e1,e1))
      & e0 != op(e1,op(e1,e0))
      & e2 != op(e1,op(e1,e2)) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f935,plain,
    ( spl15_39
    | spl15_84
    | spl15_61
    | spl15_50 ),
    inference(avatar_split_clause,[],[f311,f543,f592,f714,f490]) ).

fof(f311,plain,
    ( e2 = op(e1,e0)
    | e2 = op(e1,e1)
    | e2 = op(e1,e2)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f934,plain,
    ( ~ spl15_42
    | spl15_23
    | spl15_31
    | spl15_22
    | spl15_30
    | spl15_5
    | spl15_26
    | spl15_28
    | spl15_27
    | spl15_21
    | spl15_24
    | spl15_3
    | spl15_7
    | spl15_29
    | spl15_1
    | spl15_17 ),
    inference(avatar_split_clause,[],[f249,f395,f324,f446,f351,f333,f426,f414,f438,f442,f434,f342,f450,f418,f454,f422,f503]) ).

fof(f249,plain,
    ( sP8
    | sP1
    | sP7
    | sP11
    | sP0
    | sP10
    | sP6
    | sP4
    | sP13
    | sP3
    | sP2
    | sP9
    | sP5
    | sP12
    | sP14
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f933,plain,
    ( ~ spl15_34
    | spl15_41
    | spl15_60
    | spl15_62
    | spl15_61 ),
    inference(avatar_split_clause,[],[f255,f592,f596,f588,f498,f467]) ).

fof(f255,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e2,e2)
    | op(e0,e0) = e2
    | e2 = op(e3,e3)
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f932,plain,
    ( ~ spl15_17
    | ~ spl15_106 ),
    inference(avatar_split_clause,[],[f197,f845,f395]) ).

fof(f197,plain,
    ( e1 != op(e3,op(e3,e1))
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f931,plain,
    ( spl15_66
    | spl15_68
    | spl15_94
    | spl15_25 ),
    inference(avatar_split_clause,[],[f291,f430,f769,f623,f614]) ).

fof(f291,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e1,e3)
    | e0 = op(e3,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f930,plain,
    ( spl15_76
    | spl15_4
    | spl15_95
    | spl15_108 ),
    inference(avatar_split_clause,[],[f305,f861,f778,f337,f668]) ).

fof(f305,plain,
    ( e3 = op(e1,e3)
    | e3 = op(e0,e3)
    | e3 = op(e2,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f929,plain,
    ( spl15_34
    | spl15_65
    | spl15_85
    | spl15_105 ),
    inference(avatar_split_clause,[],[f302,f838,f718,f610,f467]) ).

fof(f302,plain,
    ( e0 = op(e3,e2)
    | e0 = op(e1,e2)
    | e0 = op(e2,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f928,plain,
    ( ~ spl15_116
    | ~ spl15_68
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f270,f811,f623,f925]) ).

fof(f270,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e2 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,e3)
      & e1 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f923,plain,
    ( ~ spl15_9
    | ~ spl15_68
    | ~ spl15_115 ),
    inference(avatar_split_clause,[],[f156,f920,f623,f360]) ).

fof(f156,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f21]) ).

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

fof(f918,plain,
    ( spl15_108
    | spl15_15
    | spl15_39
    | spl15_94 ),
    inference(avatar_split_clause,[],[f154,f769,f490,f385,f861]) ).

fof(f154,plain,
    ( e0 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f916,plain,
    ( spl15_34
    | spl15_102
    | spl15_53
    | spl15_91 ),
    inference(avatar_split_clause,[],[f153,f754,f556,f817,f467]) ).

fof(f153,plain,
    ( e2 = op(e0,e2)
    | e1 = op(e0,e2)
    | e3 = op(e0,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f915,plain,
    ( ~ spl15_29
    | ~ spl15_114 ),
    inference(avatar_split_clause,[],[f203,f912,f446]) ).

fof(f203,plain,
    ( e3 != op(e3,op(e3,e3))
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f909,plain,
    ( spl15_91
    | spl15_60
    | spl15_38
    | spl15_100 ),
    inference(avatar_split_clause,[],[f288,f805,f486,f588,f754]) ).

fof(f288,plain,
    ( e2 = op(e0,e1)
    | e2 = op(e0,e3)
    | op(e0,e0) = e2
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f908,plain,
    ( spl15_33
    | ~ spl15_43
    | spl15_65
    | spl15_68
    | spl15_67 ),
    inference(avatar_split_clause,[],[f266,f619,f623,f610,f508,f463]) ).

fof(f266,plain,
    ( e0 = op(e1,e1)
    | e0 = op(e3,e3)
    | e0 = op(e2,e2)
    | e3 != op(e3,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f907,plain,
    ( ~ spl15_22
    | spl15_33 ),
    inference(avatar_split_clause,[],[f217,f463,f418]) ).

fof(f217,plain,
    ( e0 = op(e0,e0)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( e0 = op(e0,e0)
      & e2 != op(e0,op(e0,e2))
      & e0 != op(e0,op(e0,e0))
      & e1 != op(e0,op(e0,e1))
      & e0 = op(e0,e0)
      & e3 != op(e0,op(e0,e3)) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f906,plain,
    ( spl15_104
    | spl15_14
    | spl15_53
    | spl15_75 ),
    inference(avatar_split_clause,[],[f286,f662,f556,f381,f830]) ).

fof(f286,plain,
    ( e1 = op(e2,e2)
    | e1 = op(e0,e2)
    | e1 = op(e1,e2)
    | e1 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f905,plain,
    ( ~ spl15_107
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f162,f422,f854]) ).

fof(f162,plain,
    ( ~ sP14
    | e2 != op(e0,op(e0,e2)) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f904,plain,
    ( spl15_100
    | spl15_58
    | spl15_113
    | spl15_61 ),
    inference(avatar_split_clause,[],[f290,f592,f901,f579,f805]) ).

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

fof(f899,plain,
    ( ~ spl15_60
    | ~ spl15_97
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f322,f764,f791,f588]) ).

fof(f322,plain,
    ( e3 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( op(e0,e0) = e2
      & e1 = op(op(e0,e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f893,plain,
    ( ~ spl15_72
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f169,f442,f646]) ).

fof(f169,plain,
    ( ~ sP13
    | e0 != op(e1,op(e1,e0)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( e0 != op(e1,op(e1,e0))
      & e1 != op(e1,op(e1,e1))
      & e1 = op(e3,e1)
      & e3 != op(e1,op(e1,e3))
      & e2 != op(e1,op(e1,e2))
      & e1 = op(e1,e3) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f886,plain,
    ( spl15_48
    | spl15_71
    | ~ spl15_15
    | spl15_83
    | spl15_76 ),
    inference(avatar_split_clause,[],[f265,f668,f706,f385,f641,f534]) ).

fof(f265,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e2,e2)
    | e1 != op(e1,e3)
    | op(e0,e0) = e3
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f885,plain,
    ( spl15_95
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f208,f414,f778]) ).

fof(f208,plain,
    ( ~ sP6
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f884,plain,
    ( ~ spl15_31
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f174,f328,f454]) ).

fof(f174,plain,
    ( e2 != op(e2,op(e2,e2))
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f883,plain,
    ( spl15_21
    | spl15_26
    | spl15_31
    | spl15_5
    | spl15_17
    | spl15_30
    | spl15_28
    | spl15_1
    | spl15_27
    | spl15_29
    | spl15_23
    | spl15_7
    | spl15_22
    | spl15_24
    | spl15_3
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f253,f605,f333,f426,f418,f351,f422,f446,f438,f324,f442,f450,f395,f342,f454,f434,f414]) ).

fof(f253,plain,
    ( e3 != op(e0,op(e0,e3))
    | sP0
    | sP10
    | sP5
    | sP11
    | sP14
    | sP7
    | sP4
    | sP1
    | sP13
    | sP9
    | sP8
    | sP2
    | sP12
    | sP3
    | sP6 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f876,plain,
    ( ~ spl15_1
    | ~ spl15_20 ),
    inference(avatar_split_clause,[],[f241,f409,f324]) ).

fof(f241,plain,
    ( e0 != op(e2,op(e2,e0))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f875,plain,
    ( spl15_16
    | spl15_58
    | spl15_62
    | spl15_40 ),
    inference(avatar_split_clause,[],[f292,f494,f596,f579,f390]) ).

fof(f292,plain,
    ( e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f874,plain,
    ( ~ spl15_103
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f199,f395,f823]) ).

fof(f199,plain,
    ( ~ sP8
    | e0 != op(e3,op(e3,e0)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f873,plain,
    ( ~ spl15_82
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f232,f342,f700]) ).

fof(f232,plain,
    ( ~ sP2
    | e3 != op(e2,op(e2,e3)) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ( e2 = op(e1,e2)
      & e2 = op(e2,e1)
      & e1 != op(e2,op(e2,e1))
      & e3 != op(e2,op(e2,e3))
      & e2 != op(e2,op(e2,e2))
      & e0 != op(e2,op(e2,e0)) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f872,plain,
    ( ~ spl15_92
    | ~ spl15_109
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f139,f641,f869,f760]) ).

fof(f139,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e1 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( op(e0,e0) = e3
      & e1 = op(op(e0,e0),e0)
      & e2 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f867,plain,
    ( ~ spl15_32
    | spl15_10
    | spl15_55
    | spl15_75
    | spl15_12 ),
    inference(avatar_split_clause,[],[f267,f373,f662,f564,f364,f459]) ).

fof(f267,plain,
    ( e1 = op(e1,e1)
    | e1 = op(e2,e2)
    | op(e0,e0) = e1
    | e1 = op(e3,e3)
    | e0 != op(e0,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f866,plain,
    ( spl15_73
    | spl15_52
    | spl15_43
    | spl15_71 ),
    inference(avatar_split_clause,[],[f314,f641,f508,f551,f653]) ).

fof(f314,plain,
    ( op(e0,e0) = e3
    | e3 = op(e3,e0)
    | e3 = op(e1,e0)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f865,plain,
    ( ~ spl15_75
    | ~ spl15_78
    | ~ spl15_88 ),
    inference(avatar_split_clause,[],[f319,f736,f681,f662]) ).

fof(f319,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f11]) ).

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

fof(f864,plain,
    ( spl15_48
    | spl15_86
    | spl15_52
    | spl15_108 ),
    inference(avatar_split_clause,[],[f300,f861,f551,f722,f534]) ).

fof(f300,plain,
    ( e3 = op(e1,e3)
    | e3 = op(e1,e0)
    | e3 = op(e1,e2)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f858,plain,
    ( ~ spl15_3
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f243,f823,f333]) ).

fof(f243,plain,
    ( e0 != op(e3,op(e3,e0))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f857,plain,
    ( ~ spl15_30
    | ~ spl15_107 ),
    inference(avatar_split_clause,[],[f192,f854,f450]) ).

fof(f192,plain,
    ( e2 != op(e0,op(e0,e2))
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f852,plain,
    ( spl15_83
    | spl15_59
    | spl15_73
    | spl15_4 ),
    inference(avatar_split_clause,[],[f309,f337,f653,f583,f706]) ).

fof(f309,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e2,e0)
    | e3 = op(e2,e1)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f851,plain,
    ( spl15_76
    | ~ spl15_40
    | spl15_48
    | spl15_83
    | spl15_71 ),
    inference(avatar_split_clause,[],[f248,f641,f706,f534,f494,f668]) ).

fof(f248,plain,
    ( op(e0,e0) = e3
    | e3 = op(e2,e2)
    | e3 = op(e1,e1)
    | e2 != op(e2,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f850,plain,
    ( ~ spl15_8
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f166,f442,f355]) ).

fof(f166,plain,
    ( ~ sP13
    | e3 != op(e1,op(e1,e3)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f849,plain,
    ( spl15_45
    | spl15_62
    | spl15_84
    | spl15_91 ),
    inference(avatar_split_clause,[],[f312,f754,f714,f596,f519]) ).

fof(f312,plain,
    ( e2 = op(e0,e2)
    | e2 = op(e1,e2)
    | e2 = op(e2,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f848,plain,
    ( ~ spl15_106
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f207,f414,f845]) ).

fof(f207,plain,
    ( ~ sP6
    | e1 != op(e3,op(e3,e1)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f843,plain,
    ( spl15_12
    | spl15_10
    | ~ spl15_58
    | spl15_75
    | spl15_55 ),
    inference(avatar_split_clause,[],[f263,f564,f662,f579,f364,f373]) ).

fof(f263,plain,
    ( op(e0,e0) = e1
    | e1 = op(e2,e2)
    | e2 != op(e2,e1)
    | e1 = op(e3,e3)
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f842,plain,
    ( spl15_83
    | spl15_71
    | ~ spl15_25
    | spl15_48
    | spl15_76 ),
    inference(avatar_split_clause,[],[f259,f668,f534,f430,f641,f706]) ).

fof(f259,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e1,e1)
    | e0 != op(e0,e3)
    | op(e0,e0) = e3
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f841,plain,
    ( spl15_44
    | spl15_68
    | spl15_87
    | spl15_105 ),
    inference(avatar_split_clause,[],[f287,f838,f727,f623,f514]) ).

fof(f287,plain,
    ( e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e3)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f835,plain,
    ( spl15_84
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f235,f342,f714]) ).

fof(f235,plain,
    ( ~ sP2
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f834,plain,
    ( ~ spl15_42
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f160,f422,f503]) ).

fof(f160,plain,
    ( ~ sP14
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f833,plain,
    ( spl15_10
    | spl15_90
    | spl15_70
    | spl15_104 ),
    inference(avatar_split_clause,[],[f310,f830,f635,f748,f364]) ).

fof(f310,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f828,plain,
    ( ~ spl15_31
    | spl15_62 ),
    inference(avatar_split_clause,[],[f173,f596,f454]) ).

fof(f173,plain,
    ( e2 = op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f827,plain,
    ( ~ spl15_3
    | spl15_63 ),
    inference(avatar_split_clause,[],[f247,f600,f333]) ).

fof(f247,plain,
    ( e3 = op(e3,e2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f826,plain,
    ( ~ spl15_21
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f209,f823,f414]) ).

fof(f209,plain,
    ( e0 != op(e3,op(e3,e0))
    | ~ sP6 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f821,plain,
    ( spl15_99
    | spl15_48
    | spl15_18
    | spl15_59 ),
    inference(avatar_split_clause,[],[f307,f583,f399,f534,f801]) ).

fof(f307,plain,
    ( e3 = op(e2,e1)
    | e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f820,plain,
    ( spl15_102
    | spl15_63
    | spl15_83
    | spl15_86 ),
    inference(avatar_split_clause,[],[f304,f722,f706,f600,f817]) ).

fof(f304,plain,
    ( e3 = op(e1,e2)
    | e3 = op(e2,e2)
    | e3 = op(e3,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f814,plain,
    ( ~ spl15_101
    | ~ spl15_41
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f320,f368,f498,f811]) ).

fof(f320,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f13]) ).

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

fof(f809,plain,
    ( spl15_48
    | spl15_61
    | spl15_12
    | spl15_67 ),
    inference(avatar_split_clause,[],[f143,f619,f373,f592,f534]) ).

fof(f143,plain,
    ( e0 = op(e1,e1)
    | e1 = op(e1,e1)
    | e2 = op(e1,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f808,plain,
    ( spl15_32
    | spl15_99
    | spl15_54
    | spl15_100 ),
    inference(avatar_split_clause,[],[f141,f805,f560,f801,f459]) ).

fof(f141,plain,
    ( e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e3 = op(e0,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f799,plain,
    ( spl15_44
    | spl15_98
    | spl15_90
    | spl15_43 ),
    inference(avatar_split_clause,[],[f145,f508,f748,f796,f514]) ).

fof(f145,plain,
    ( e3 = op(e3,e0)
    | e1 = op(e3,e0)
    | e2 = op(e3,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f794,plain,
    ( ~ spl15_71
    | ~ spl15_96
    | ~ spl15_97 ),
    inference(avatar_split_clause,[],[f321,f791,f787,f641]) ).

fof(f321,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ ( e1 = op(op(e0,e0),op(e0,e0))
      & e2 = op(op(e0,e0),e0)
      & op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f785,plain,
    ( spl15_15
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f164,f442,f385]) ).

fof(f164,plain,
    ( ~ sP13
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f783,plain,
    ( spl15_34
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f159,f422,f467]) ).

fof(f159,plain,
    ( ~ sP14
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f782,plain,
    ( ~ spl15_49
    | ~ spl15_81
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f318,f592,f695,f538]) ).

fof(f318,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(op(e1,e1),e1) ),
    inference(ennf_transformation,[],[f24]) ).

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

fof(f781,plain,
    ( spl15_35
    | spl15_25
    | spl15_95
    | spl15_38 ),
    inference(avatar_split_clause,[],[f148,f486,f778,f430,f472]) ).

fof(f148,plain,
    ( e2 = op(e0,e3)
    | e3 = op(e0,e3)
    | e0 = op(e0,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f776,plain,
    ( ~ spl15_23
    | ~ spl15_77 ),
    inference(avatar_split_clause,[],[f158,f676,f422]) ).

fof(f158,plain,
    ( e1 != op(e0,op(e0,e1))
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f775,plain,
    ( ~ spl15_8
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f224,f434,f355]) ).

fof(f224,plain,
    ( ~ sP3
    | e3 != op(e1,op(e1,e3)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f774,plain,
    ( ~ spl15_69
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f176,f351,f628]) ).

fof(f176,plain,
    ( ~ sP11
    | e2 != op(e1,op(e1,e2)) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ( e1 = op(e0,e1)
      & e1 = op(e1,e0)
      & e0 != op(e1,op(e1,e0))
      & e1 != op(e1,op(e1,e1))
      & e3 != op(e1,op(e1,e3))
      & e2 != op(e1,op(e1,e2)) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f772,plain,
    ( spl15_67
    | spl15_85
    | spl15_51
    | spl15_94 ),
    inference(avatar_split_clause,[],[f303,f769,f547,f718,f619]) ).

fof(f303,plain,
    ( e0 = op(e1,e3)
    | e0 = op(e1,e0)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f767,plain,
    ( ~ spl15_92
    | ~ spl15_55
    | ~ spl15_93 ),
    inference(avatar_split_clause,[],[f157,f764,f564,f760]) ).

fof(f157,plain,
    ( e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( op(e0,e0) = e1
      & e2 = op(op(e0,e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f758,plain,
    ( spl15_40
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f221,f438,f494]) ).

fof(f221,plain,
    ( ~ sP4
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( e0 != op(e2,op(e2,e0))
      & e1 != op(e2,op(e2,e1))
      & e2 = op(e2,e3)
      & e3 != op(e2,op(e2,e3))
      & e2 = op(e3,e2)
      & e2 != op(e2,op(e2,e2)) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f757,plain,
    ( spl15_91
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f236,f324,f754]) ).

fof(f236,plain,
    ( ~ sP1
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f752,plain,
    ( ~ spl15_69
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f165,f442,f628]) ).

fof(f165,plain,
    ( ~ sP13
    | e2 != op(e1,op(e1,e2)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f751,plain,
    ( spl15_13
    | spl15_55
    | spl15_90
    | spl15_74 ),
    inference(avatar_split_clause,[],[f285,f657,f748,f564,f377]) ).

fof(f285,plain,
    ( e1 = op(e2,e0)
    | e1 = op(e3,e0)
    | op(e0,e0) = e1
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f746,plain,
    ( ~ spl15_26
    | spl15_56 ),
    inference(avatar_split_clause,[],[f229,f571,f434]) ).

fof(f229,plain,
    ( e1 = op(e2,e1)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f745,plain,
    ( spl15_33
    | spl15_51
    | spl15_46
    | spl15_44 ),
    inference(avatar_split_clause,[],[f297,f514,f525,f547,f463]) ).

fof(f297,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f744,plain,
    ( spl15_36
    | spl15_66
    | spl15_40
    | spl15_4 ),
    inference(avatar_split_clause,[],[f151,f337,f494,f614,f476]) ).

fof(f151,plain,
    ( e3 = op(e2,e3)
    | e2 = op(e2,e3)
    | e0 = op(e2,e3)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f734,plain,
    ( spl15_58
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f234,f342,f579]) ).

fof(f234,plain,
    ( ~ sP2
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f732,plain,
    ( ~ spl15_7
    | spl15_54 ),
    inference(avatar_split_clause,[],[f181,f560,f351]) ).

fof(f181,plain,
    ( e1 = op(e0,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f731,plain,
    ( spl15_51
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f189,f450,f547]) ).

fof(f189,plain,
    ( ~ sP9
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f730,plain,
    ( spl15_87
    | spl15_32
    | spl15_57
    | spl15_67 ),
    inference(avatar_split_clause,[],[f299,f619,f575,f459,f727]) ).

fof(f299,plain,
    ( e0 = op(e1,e1)
    | e0 = op(e2,e1)
    | e0 = op(e0,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f725,plain,
    ( spl15_84
    | spl15_14
    | spl15_85
    | spl15_86 ),
    inference(avatar_split_clause,[],[f146,f722,f718,f381,f714]) ).

fof(f146,plain,
    ( e3 = op(e1,e2)
    | e0 = op(e1,e2)
    | e1 = op(e1,e2)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f711,plain,
    ( spl15_56
    | spl15_36
    | spl15_75
    | spl15_74 ),
    inference(avatar_split_clause,[],[f298,f657,f662,f476,f571]) ).

fof(f298,plain,
    ( e1 = op(e2,e0)
    | e1 = op(e2,e2)
    | e1 = op(e2,e3)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f710,plain,
    ( spl15_62
    | ~ spl15_14
    | spl15_61
    | spl15_41
    | spl15_60 ),
    inference(avatar_split_clause,[],[f257,f588,f498,f592,f381,f596]) ).

fof(f257,plain,
    ( op(e0,e0) = e2
    | e2 = op(e3,e3)
    | e2 = op(e1,e1)
    | e1 != op(e1,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f709,plain,
    ( spl15_75
    | spl15_62
    | spl15_83
    | spl15_65 ),
    inference(avatar_split_clause,[],[f149,f610,f706,f596,f662]) ).

fof(f149,plain,
    ( e0 = op(e2,e2)
    | e3 = op(e2,e2)
    | e2 = op(e2,e2)
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f704,plain,
    ( ~ spl15_30
    | ~ spl15_64 ),
    inference(avatar_split_clause,[],[f193,f605,f450]) ).

fof(f193,plain,
    ( e3 != op(e0,op(e0,e3))
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f703,plain,
    ( ~ spl15_27
    | ~ spl15_82 ),
    inference(avatar_split_clause,[],[f220,f700,f438]) ).

fof(f220,plain,
    ( e3 != op(e2,op(e2,e3))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f688,plain,
    ( ~ spl15_78
    | ~ spl15_65
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f86,f685,f610,f681]) ).

fof(f86,plain,
    ( e1 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ~ ( e3 = op(op(e2,e2),op(e2,e2))
      & e0 = op(e2,e2)
      & e1 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f679,plain,
    ( spl15_28
    | spl15_21
    | spl15_27
    | spl15_22
    | spl15_7
    | ~ spl15_77
    | spl15_17
    | spl15_24
    | spl15_23
    | spl15_26
    | spl15_31
    | spl15_5
    | spl15_29
    | spl15_30
    | spl15_3
    | spl15_1 ),
    inference(avatar_split_clause,[],[f250,f324,f333,f450,f446,f342,f454,f434,f422,f426,f395,f676,f351,f418,f438,f414,f442]) ).

fof(f250,plain,
    ( sP1
    | sP0
    | sP9
    | sP7
    | sP2
    | sP12
    | sP3
    | sP14
    | sP10
    | sP8
    | e1 != op(e0,op(e0,e1))
    | sP11
    | sP5
    | sP4
    | sP6
    | sP13 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f673,plain,
    ( ~ spl15_7
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f178,f481,f351]) ).

fof(f178,plain,
    ( e1 != op(e1,op(e1,e1))
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f672,plain,
    ( ~ spl15_28
    | spl15_70 ),
    inference(avatar_split_clause,[],[f167,f635,f442]) ).

fof(f167,plain,
    ( e1 = op(e3,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f671,plain,
    ( spl15_10
    | spl15_76
    | spl15_68
    | spl15_41 ),
    inference(avatar_split_clause,[],[f150,f498,f623,f668,f364]) ).

fof(f150,plain,
    ( e2 = op(e3,e3)
    | e0 = op(e3,e3)
    | e3 = op(e3,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f666,plain,
    ( spl15_13
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f180,f351,f377]) ).

fof(f180,plain,
    ( ~ sP11
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f665,plain,
    ( spl15_55
    | spl15_10
    | spl15_12
    | ~ spl15_18
    | spl15_75 ),
    inference(avatar_split_clause,[],[f268,f662,f399,f373,f364,f564]) ).

fof(f268,plain,
    ( e1 = op(e2,e2)
    | e3 != op(e3,e1)
    | e1 = op(e1,e1)
    | e1 = op(e3,e3)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f660,plain,
    ( spl15_73
    | spl15_74
    | spl15_46
    | spl15_16 ),
    inference(avatar_split_clause,[],[f144,f390,f525,f657,f653]) ).

fof(f144,plain,
    ( e2 = op(e2,e0)
    | e0 = op(e2,e0)
    | e1 = op(e2,e0)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f651,plain,
    ( ~ spl15_26
    | spl15_14 ),
    inference(avatar_split_clause,[],[f226,f381,f434]) ).

fof(f226,plain,
    ( e1 = op(e1,e2)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f650,plain,
    ( ~ spl15_20
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f223,f438,f409]) ).

fof(f223,plain,
    ( ~ sP4
    | e0 != op(e2,op(e2,e0)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f649,plain,
    ( ~ spl15_72
    | ~ spl15_7 ),
    inference(avatar_split_clause,[],[f179,f351,f646]) ).

fof(f179,plain,
    ( ~ sP11
    | e0 != op(e1,op(e1,e0)) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f644,plain,
    ( spl15_33
    | spl15_60
    | spl15_71
    | spl15_55 ),
    inference(avatar_split_clause,[],[f142,f564,f641,f588,f463]) ).

fof(f142,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f638,plain,
    ( spl15_70
    | spl15_56
    | spl15_12
    | spl15_54 ),
    inference(avatar_split_clause,[],[f289,f560,f373,f571,f635]) ).

fof(f289,plain,
    ( e1 = op(e0,e1)
    | e1 = op(e1,e1)
    | e1 = op(e2,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f632,plain,
    ( ~ spl15_42
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f215,f418,f503]) ).

fof(f215,plain,
    ( ~ sP5
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f626,plain,
    ( spl15_67
    | ~ spl15_13
    | spl15_33
    | spl15_65
    | spl15_68 ),
    inference(avatar_split_clause,[],[f258,f623,f610,f463,f377,f619]) ).

fof(f258,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e2,e2)
    | e0 = op(e0,e0)
    | e1 != op(e1,e0)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f617,plain,
    ( spl15_65
    | spl15_57
    | spl15_46
    | spl15_66 ),
    inference(avatar_split_clause,[],[f306,f614,f525,f575,f610]) ).

fof(f306,plain,
    ( e0 = op(e2,e3)
    | e0 = op(e2,e0)
    | e0 = op(e2,e1)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f603,plain,
    ( spl15_60
    | spl15_61
    | spl15_62
    | ~ spl15_63
    | spl15_41 ),
    inference(avatar_split_clause,[],[f269,f498,f600,f596,f592,f588]) ).

fof(f269,plain,
    ( e2 = op(e3,e3)
    | e3 != op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f586,plain,
    ( spl15_56
    | spl15_57
    | spl15_58
    | spl15_59 ),
    inference(avatar_split_clause,[],[f140,f583,f579,f575,f571]) ).

fof(f140,plain,
    ( e3 = op(e2,e1)
    | e2 = op(e2,e1)
    | e0 = op(e2,e1)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f568,plain,
    ( ~ spl15_27
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f222,f346,f438]) ).

fof(f222,plain,
    ( e1 != op(e2,op(e2,e1))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f567,plain,
    ( spl15_35
    | spl15_53
    | spl15_54
    | spl15_55 ),
    inference(avatar_split_clause,[],[f293,f564,f560,f556,f472]) ).

fof(f293,plain,
    ( op(e0,e0) = e1
    | e1 = op(e0,e1)
    | e1 = op(e0,e2)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f554,plain,
    ( spl15_50
    | spl15_13
    | spl15_51
    | spl15_52 ),
    inference(avatar_split_clause,[],[f152,f551,f547,f377,f543]) ).

fof(f152,plain,
    ( e3 = op(e1,e0)
    | e0 = op(e1,e0)
    | e1 = op(e1,e0)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f541,plain,
    ( ~ spl15_47
    | ~ spl15_48
    | ~ spl15_49 ),
    inference(avatar_split_clause,[],[f317,f538,f534,f530]) ).

fof(f317,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( e2 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f18]) ).

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

fof(f528,plain,
    ( ~ spl15_23
    | spl15_46 ),
    inference(avatar_split_clause,[],[f161,f525,f422]) ).

fof(f161,plain,
    ( e0 = op(e2,e0)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f523,plain,
    ( ~ spl15_28
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f168,f481,f442]) ).

fof(f168,plain,
    ( e1 != op(e1,op(e1,e1))
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f522,plain,
    ( spl15_45
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f219,f438,f519]) ).

fof(f219,plain,
    ( ~ sP4
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f517,plain,
    ( spl15_26
    | spl15_23
    | spl15_1
    | spl15_7
    | spl15_5
    | spl15_29
    | spl15_21
    | spl15_44
    | spl15_27
    | spl15_17
    | spl15_22
    | spl15_28
    | spl15_30
    | spl15_24
    | spl15_31
    | spl15_3 ),
    inference(avatar_split_clause,[],[f254,f333,f454,f426,f450,f442,f418,f395,f438,f514,f414,f446,f342,f351,f324,f422,f434]) ).

fof(f254,plain,
    ( sP0
    | sP12
    | sP10
    | sP9
    | sP13
    | sP5
    | sP8
    | sP4
    | e0 = op(e3,e0)
    | sP6
    | sP7
    | sP2
    | sP11
    | sP1
    | sP14
    | sP3 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f512,plain,
    ( spl15_32
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f191,f450,f459]) ).

fof(f191,plain,
    ( ~ sP9
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f511,plain,
    ( spl15_43
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f206,f414,f508]) ).

fof(f206,plain,
    ( ~ sP6
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f501,plain,
    ( spl15_38
    | spl15_39
    | spl15_40
    | spl15_41 ),
    inference(avatar_split_clause,[],[f284,f498,f494,f490,f486]) ).

fof(f284,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f484,plain,
    ( ~ spl15_24
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f184,f481,f426]) ).

fof(f184,plain,
    ( e1 != op(e1,op(e1,e1))
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f479,plain,
    ( spl15_35
    | spl15_10
    | spl15_15
    | spl15_36 ),
    inference(avatar_split_clause,[],[f308,f476,f385,f364,f472]) ).

fof(f308,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e3,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f470,plain,
    ( spl15_25
    | spl15_32
    | spl15_33
    | spl15_34 ),
    inference(avatar_split_clause,[],[f296,f467,f463,f459,f430]) ).

fof(f296,plain,
    ( e0 = op(e0,e2)
    | e0 = op(e0,e0)
    | e0 = op(e0,e1)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f457,plain,
    ( spl15_21
    | spl15_22
    | spl15_1
    | spl15_3
    | spl15_23
    | spl15_24
    | spl15_25
    | spl15_17
    | spl15_26
    | spl15_27
    | spl15_7
    | spl15_28
    | spl15_29
    | spl15_30
    | spl15_31
    | spl15_5 ),
    inference(avatar_split_clause,[],[f252,f342,f454,f450,f446,f442,f351,f438,f434,f395,f430,f426,f422,f333,f324,f418,f414]) ).

fof(f252,plain,
    ( sP2
    | sP12
    | sP9
    | sP7
    | sP13
    | sP11
    | sP4
    | sP3
    | sP8
    | e0 = op(e0,e3)
    | sP10
    | sP14
    | sP0
    | sP1
    | sP5
    | sP6 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f412,plain,
    ( ~ spl15_20
    | ~ spl15_5 ),
    inference(avatar_split_clause,[],[f230,f342,f409]) ).

fof(f230,plain,
    ( ~ sP2
    | e0 != op(e2,op(e2,e0)) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f407,plain,
    ( ~ spl15_19
    | ~ spl15_17 ),
    inference(avatar_split_clause,[],[f198,f395,f404]) ).

fof(f198,plain,
    ( ~ sP8
    | e2 != op(e3,op(e3,e2)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f402,plain,
    ( ~ spl15_17
    | spl15_18 ),
    inference(avatar_split_clause,[],[f194,f399,f395]) ).

fof(f194,plain,
    ( e3 = op(e3,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f393,plain,
    ( spl15_16
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f240,f324,f390]) ).

fof(f240,plain,
    ( ~ sP1
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f388,plain,
    ( spl15_12
    | spl15_13
    | spl15_14
    | spl15_15 ),
    inference(avatar_split_clause,[],[f295,f385,f381,f377,f373]) ).

fof(f295,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e1,e2)
    | e1 = op(e1,e0)
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f371,plain,
    ( ~ spl15_9
    | ~ spl15_10
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f315,f368,f364,f360]) ).

fof(f315,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f19]) ).

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

fof(f358,plain,
    ( ~ spl15_7
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f177,f355,f351]) ).

fof(f177,plain,
    ( e3 != op(e1,op(e1,e3))
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f349,plain,
    ( ~ spl15_5
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f233,f346,f342]) ).

fof(f233,plain,
    ( e1 != op(e2,op(e2,e1))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f340,plain,
    ( ~ spl15_3
    | spl15_4 ),
    inference(avatar_split_clause,[],[f245,f337,f333]) ).

fof(f245,plain,
    ( e3 = op(e2,e3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ALG145+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 14:53:50 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (27857)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)
% 0.20/0.52  % (27878)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)
% 0.20/0.52  % (27857)Instruction limit reached!
% 0.20/0.52  % (27857)------------------------------
% 0.20/0.52  % (27857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27868)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)
% 0.20/0.52  % (27869)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)
% 0.20/0.52  % (27857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27857)Termination reason: Unknown
% 0.20/0.52  % (27857)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (27857)Memory used [KB]: 1535
% 0.20/0.52  % (27857)Time elapsed: 0.005 s
% 0.20/0.52  % (27857)Instructions burned: 4 (million)
% 0.20/0.52  % (27857)------------------------------
% 0.20/0.52  % (27857)------------------------------
% 0.20/0.52  % (27885)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)
% 0.20/0.53  % (27869)Instruction limit reached!
% 0.20/0.53  % (27869)------------------------------
% 0.20/0.53  % (27869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27869)Termination reason: Unknown
% 0.20/0.53  % (27869)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (27869)Memory used [KB]: 1535
% 0.20/0.53  % (27869)Time elapsed: 0.004 s
% 0.20/0.53  % (27869)Instructions burned: 4 (million)
% 0.20/0.53  % (27869)------------------------------
% 0.20/0.53  % (27869)------------------------------
% 0.20/0.53  % (27877)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)
% 0.20/0.53  % (27885)Refutation not found, incomplete strategy% (27885)------------------------------
% 0.20/0.53  % (27885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27858)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)
% 0.20/0.53  % (27885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27885)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (27885)Memory used [KB]: 5884
% 0.20/0.53  % (27885)Time elapsed: 0.004 s
% 0.20/0.53  % (27885)Instructions burned: 2 (million)
% 0.20/0.53  % (27885)------------------------------
% 0.20/0.53  % (27885)------------------------------
% 0.20/0.53  % (27858)Refutation not found, incomplete strategy% (27858)------------------------------
% 0.20/0.53  % (27858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27858)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (27858)Memory used [KB]: 5884
% 0.20/0.53  % (27858)Time elapsed: 0.002 s
% 0.20/0.53  % (27858)Instructions burned: 1 (million)
% 0.20/0.53  % (27858)------------------------------
% 0.20/0.53  % (27858)------------------------------
% 0.20/0.53  % (27868)Refutation not found, incomplete strategy% (27868)------------------------------
% 0.20/0.53  % (27868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27868)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (27868)Memory used [KB]: 5884
% 0.20/0.53  % (27868)Time elapsed: 0.003 s
% 0.20/0.53  % (27868)Instructions burned: 1 (million)
% 0.20/0.53  % (27868)------------------------------
% 0.20/0.53  % (27868)------------------------------
% 0.20/0.54  % (27877)Refutation not found, incomplete strategy% (27877)------------------------------
% 0.20/0.54  % (27877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27877)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (27877)Memory used [KB]: 6268
% 0.20/0.54  % (27877)Time elapsed: 0.009 s
% 0.20/0.54  % (27877)Instructions burned: 13 (million)
% 0.20/0.54  % (27877)------------------------------
% 0.20/0.54  % (27877)------------------------------
% 0.20/0.54  % (27860)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)
% 0.20/0.54  % (27864)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)
% 0.20/0.54  % (27864)Refutation not found, incomplete strategy% (27864)------------------------------
% 0.20/0.54  % (27864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27864)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (27864)Memory used [KB]: 5884
% 0.20/0.54  % (27864)Time elapsed: 0.002 s
% 0.20/0.54  % (27864)Instructions burned: 3 (million)
% 0.20/0.54  % (27864)------------------------------
% 0.20/0.54  % (27864)------------------------------
% 0.20/0.54  % (27879)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)
% 0.20/0.55  % (27866)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)
% 0.20/0.55  % (27859)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)
% 0.20/0.55  % (27870)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)
% 0.20/0.55  % (27859)Refutation not found, incomplete strategy% (27859)------------------------------
% 0.20/0.55  % (27859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (27859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (27859)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (27859)Memory used [KB]: 5884
% 0.20/0.55  % (27859)Time elapsed: 0.002 s
% 0.20/0.55  % (27859)Instructions burned: 2 (million)
% 0.20/0.55  % (27859)------------------------------
% 0.20/0.55  % (27859)------------------------------
% 0.20/0.55  % (27861)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)
% 0.20/0.55  % (27865)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)
% 0.20/0.55  % (27861)Refutation not found, incomplete strategy% (27861)------------------------------
% 0.20/0.55  % (27861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (27855)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.55  % (27861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (27861)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (27861)Memory used [KB]: 5884
% 0.20/0.55  % (27861)Time elapsed: 0.004 s
% 0.20/0.55  % (27861)Instructions burned: 2 (million)
% 0.20/0.55  % (27861)------------------------------
% 0.20/0.55  % (27861)------------------------------
% 0.20/0.55  % (27873)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (27882)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)
% 0.20/0.55  % (27883)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)
% 0.20/0.56  % (27884)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)
% 0.20/0.56  % (27856)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)
% 0.20/0.56  % (27856)Refutation not found, incomplete strategy% (27856)------------------------------
% 0.20/0.56  % (27856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27856)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (27856)Memory used [KB]: 5884
% 0.20/0.56  % (27856)Time elapsed: 0.003 s
% 0.20/0.56  % (27856)Instructions burned: 1 (million)
% 0.20/0.56  % (27856)------------------------------
% 0.20/0.56  % (27856)------------------------------
% 0.20/0.56  % (27862)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)
% 0.20/0.56  % (27863)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)
% 0.20/0.56  % (27863)Refutation not found, incomplete strategy% (27863)------------------------------
% 0.20/0.56  % (27863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27863)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (27863)Memory used [KB]: 5884
% 0.20/0.56  % (27863)Time elapsed: 0.003 s
% 0.20/0.56  % (27863)Instructions burned: 2 (million)
% 0.20/0.56  % (27863)------------------------------
% 0.20/0.56  % (27863)------------------------------
% 0.20/0.56  % (27870)Instruction limit reached!
% 0.20/0.56  % (27870)------------------------------
% 0.20/0.56  % (27870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27870)Termination reason: Unknown
% 0.20/0.56  % (27870)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (27870)Memory used [KB]: 1535
% 0.20/0.56  % (27870)Time elapsed: 0.006 s
% 0.20/0.56  % (27870)Instructions burned: 7 (million)
% 0.20/0.56  % (27870)------------------------------
% 0.20/0.56  % (27870)------------------------------
% 0.20/0.56  % (27884)Instruction limit reached!
% 0.20/0.56  % (27884)------------------------------
% 0.20/0.56  % (27884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27884)Termination reason: Unknown
% 0.20/0.56  % (27884)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (27884)Memory used [KB]: 1663
% 0.20/0.56  % (27884)Time elapsed: 0.004 s
% 0.20/0.56  % (27884)Instructions burned: 9 (million)
% 0.20/0.56  % (27884)------------------------------
% 0.20/0.56  % (27884)------------------------------
% 0.20/0.56  % (27860)Refutation not found, incomplete strategy% (27860)------------------------------
% 0.20/0.56  % (27860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27860)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (27860)Memory used [KB]: 1791
% 0.20/0.56  % (27860)Time elapsed: 0.007 s
% 0.20/0.56  % (27860)Instructions burned: 11 (million)
% 0.20/0.56  % (27860)------------------------------
% 0.20/0.56  % (27860)------------------------------
% 0.20/0.56  % (27874)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)
% 0.20/0.56  % (27874)Refutation not found, incomplete strategy% (27874)------------------------------
% 0.20/0.56  % (27874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27874)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (27874)Memory used [KB]: 5884
% 0.20/0.56  % (27874)Time elapsed: 0.002 s
% 0.20/0.56  % (27874)------------------------------
% 0.20/0.56  % (27874)------------------------------
% 0.20/0.56  % (27875)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)
% 0.20/0.56  % (27879)Refutation not found, incomplete strategy% (27879)------------------------------
% 0.20/0.56  % (27879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27875)Refutation not found, incomplete strategy% (27875)------------------------------
% 0.20/0.56  % (27875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27875)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (27875)Memory used [KB]: 5884
% 0.20/0.56  % (27875)Time elapsed: 0.003 s
% 0.20/0.56  % (27875)Instructions burned: 2 (million)
% 0.20/0.56  % (27875)------------------------------
% 0.20/0.56  % (27875)------------------------------
% 0.20/0.56  % (27881)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)
% 0.20/0.56  % (27867)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)
% 0.20/0.57  % (27862)Refutation not found, incomplete strategy% (27862)------------------------------
% 0.20/0.57  % (27862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (27876)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)
% 0.20/0.57  % (27876)Refutation not found, incomplete strategy% (27876)------------------------------
% 0.20/0.57  % (27876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (27876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (27876)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (27876)Memory used [KB]: 5884
% 0.20/0.57  % (27876)Time elapsed: 0.003 s
% 0.20/0.57  % (27876)Instructions burned: 1 (million)
% 0.20/0.57  % (27876)------------------------------
% 0.20/0.57  % (27876)------------------------------
% 0.20/0.57  % (27862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (27862)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (27862)Memory used [KB]: 6396
% 0.20/0.57  % (27862)Time elapsed: 0.011 s
% 0.20/0.57  % (27862)Instructions burned: 14 (million)
% 0.20/0.57  % (27862)------------------------------
% 0.20/0.57  % (27862)------------------------------
% 0.20/0.57  % (27866)Instruction limit reached!
% 0.20/0.57  % (27866)------------------------------
% 0.20/0.57  % (27866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (27866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (27866)Termination reason: Unknown
% 0.20/0.57  % (27866)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (27866)Memory used [KB]: 1535
% 0.20/0.57  % (27866)Time elapsed: 0.004 s
% 0.20/0.57  % (27866)Instructions burned: 7 (million)
% 0.20/0.57  % (27866)------------------------------
% 0.20/0.57  % (27866)------------------------------
% 0.20/0.57  % (27873)Instruction limit reached!
% 0.20/0.57  % (27873)------------------------------
% 0.20/0.57  % (27873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (27873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (27873)Termination reason: Unknown
% 0.20/0.57  % (27873)Termination phase: Naming
% 0.20/0.57  
% 0.20/0.57  % (27873)Memory used [KB]: 1535
% 0.20/0.57  % (27873)Time elapsed: 0.002 s
% 0.20/0.57  % (27873)Instructions burned: 3 (million)
% 0.20/0.57  % (27873)------------------------------
% 0.20/0.57  % (27873)------------------------------
% 0.20/0.57  % (27867)Refutation not found, incomplete strategy% (27867)------------------------------
% 0.20/0.57  % (27867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (27867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (27867)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (27867)Memory used [KB]: 1791
% 0.20/0.57  % (27867)Time elapsed: 0.007 s
% 0.20/0.57  % (27867)Instructions burned: 14 (million)
% 0.20/0.57  % (27867)------------------------------
% 0.20/0.57  % (27867)------------------------------
% 1.80/0.57  % (27879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.57  % (27879)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.57  
% 1.80/0.57  % (27865)Instruction limit reached!
% 1.80/0.57  % (27865)------------------------------
% 1.80/0.57  % (27865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.57  % (27865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.57  % (27865)Termination reason: Unknown
% 1.80/0.57  % (27865)Termination phase: Saturation
% 1.80/0.57  
% 1.80/0.57  % (27865)Memory used [KB]: 1663
% 1.80/0.57  % (27865)Time elapsed: 0.006 s
% 1.80/0.57  % (27865)Instructions burned: 12 (million)
% 1.80/0.57  % (27865)------------------------------
% 1.80/0.57  % (27865)------------------------------
% 1.80/0.57  % (27879)Memory used [KB]: 1791
% 1.80/0.57  % (27879)Time elapsed: 0.008 s
% 1.80/0.57  % (27879)Instructions burned: 12 (million)
% 1.80/0.57  % (27879)------------------------------
% 1.80/0.57  % (27879)------------------------------
% 1.80/0.57  % (27880)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)
% 1.80/0.58  % (27882)Refutation not found, incomplete strategy% (27882)------------------------------
% 1.80/0.58  % (27882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58  % (27882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58  % (27882)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.58  
% 1.80/0.58  % (27882)Memory used [KB]: 6524
% 1.80/0.58  % (27882)Time elapsed: 0.012 s
% 1.80/0.58  % (27882)Instructions burned: 17 (million)
% 1.80/0.58  % (27882)------------------------------
% 1.80/0.58  % (27882)------------------------------
% 1.80/0.58  % (27871)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)
% 1.89/0.59  % (27883)Instruction limit reached!
% 1.89/0.59  % (27883)------------------------------
% 1.89/0.59  % (27883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.59  % (27883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.59  % (27883)Termination reason: Unknown
% 1.89/0.59  % (27883)Termination phase: Saturation
% 1.89/0.59  
% 1.89/0.59  % (27883)Memory used [KB]: 6524
% 1.89/0.59  % (27883)Time elapsed: 0.163 s
% 1.89/0.59  % (27883)Instructions burned: 26 (million)
% 1.89/0.59  % (27883)------------------------------
% 1.89/0.59  % (27883)------------------------------
% 1.89/0.60  % (27880)Refutation not found, incomplete strategy% (27880)------------------------------
% 1.89/0.60  % (27880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (27880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (27880)Termination reason: Refutation not found, incomplete strategy
% 1.89/0.60  
% 1.89/0.60  % (27880)Memory used [KB]: 6524
% 1.89/0.60  % (27880)Time elapsed: 0.187 s
% 1.89/0.60  % (27880)Instructions burned: 19 (million)
% 1.89/0.60  % (27880)------------------------------
% 1.89/0.60  % (27880)------------------------------
% 1.89/0.61  % (27871)Refutation not found, incomplete strategy% (27871)------------------------------
% 1.89/0.61  % (27871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61  % (27871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61  % (27871)Termination reason: Refutation not found, incomplete strategy
% 1.89/0.61  
% 1.89/0.61  % (27871)Memory used [KB]: 6396
% 1.89/0.61  % (27871)Time elapsed: 0.013 s
% 1.89/0.61  % (27871)Instructions burned: 19 (million)
% 1.89/0.61  % (27871)------------------------------
% 1.89/0.61  % (27871)------------------------------
% 2.09/0.64  % (27969)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)
% 2.09/0.64  % (27969)Refutation not found, incomplete strategy% (27969)------------------------------
% 2.09/0.64  % (27969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (27969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (27969)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.64  
% 2.09/0.64  % (27969)Memory used [KB]: 5884
% 2.09/0.64  % (27969)Time elapsed: 0.002 s
% 2.09/0.64  % (27969)Instructions burned: 1 (million)
% 2.09/0.64  % (27969)------------------------------
% 2.09/0.64  % (27969)------------------------------
% 2.09/0.64  % (27980)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.09/0.65  % (27975)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.09/0.65  % (27975)Refutation not found, incomplete strategy% (27975)------------------------------
% 2.09/0.65  % (27975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65  % (27980)Refutation not found, incomplete strategy% (27980)------------------------------
% 2.09/0.65  % (27980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65  % (27974)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)
% 2.09/0.65  % (27975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65  % (27975)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.65  
% 2.09/0.65  % (27975)Memory used [KB]: 1791
% 2.09/0.65  % (27975)Time elapsed: 0.007 s
% 2.09/0.65  % (27975)Instructions burned: 12 (million)
% 2.09/0.65  % (27975)------------------------------
% 2.09/0.65  % (27975)------------------------------
% 2.09/0.65  % (27980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65  % (27980)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.65  
% 2.09/0.65  % (27980)Memory used [KB]: 5884
% 2.09/0.65  % (27980)Time elapsed: 0.004 s
% 2.09/0.65  % (27980)Instructions burned: 2 (million)
% 2.09/0.65  % (27980)------------------------------
% 2.09/0.65  % (27980)------------------------------
% 2.09/0.66  % (27977)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.09/0.66  % (27972)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)
% 2.09/0.67  % (28015)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.09/0.68  % (27974)Refutation not found, incomplete strategy% (27974)------------------------------
% 2.09/0.68  % (27974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.68  % (27974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.68  % (27974)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.68  
% 2.09/0.68  % (27974)Memory used [KB]: 5884
% 2.09/0.68  % (27974)Time elapsed: 0.003 s
% 2.09/0.68  % (27974)Instructions burned: 2 (million)
% 2.09/0.68  % (27974)------------------------------
% 2.09/0.68  % (27974)------------------------------
% 2.09/0.68  % (28005)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.09/0.69  % (27995)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.09/0.69  % (27972)Refutation not found, incomplete strategy% (27972)------------------------------
% 2.09/0.69  % (27972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.69  % (27972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.69  % (27972)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.69  
% 2.09/0.69  % (27972)Memory used [KB]: 10362
% 2.09/0.69  % (27972)Time elapsed: 0.002 s
% 2.09/0.69  % (27972)Instructions burned: 2 (million)
% 2.09/0.69  % (27972)------------------------------
% 2.09/0.69  % (27972)------------------------------
% 2.09/0.69  % (28004)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 (2997ds/131Mi)
% 2.09/0.69  % (28010)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.09/0.69  % (28004)Refutation not found, incomplete strategy% (28004)------------------------------
% 2.09/0.69  % (28004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.69  % (28004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.69  % (28004)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.69  
% 2.09/0.69  % (28004)Memory used [KB]: 5884
% 2.09/0.69  % (28004)Time elapsed: 0.003 s
% 2.09/0.69  % (28004)Instructions burned: 3 (million)
% 2.09/0.69  % (28004)------------------------------
% 2.09/0.69  % (28004)------------------------------
% 2.09/0.69  % (28003)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.09/0.69  % (28015)Refutation not found, incomplete strategy% (28015)------------------------------
% 2.09/0.69  % (28015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.69  % (28002)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.09/0.69  % (27984)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)
% 2.09/0.69  % (27984)Refutation not found, incomplete strategy% (27984)------------------------------
% 2.09/0.69  % (27984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.69  % (27984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.69  % (27984)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.69  
% 2.09/0.69  % (27984)Memory used [KB]: 5884
% 2.09/0.69  % (27984)Time elapsed: 0.003 s
% 2.09/0.69  % (27984)Instructions burned: 2 (million)
% 2.09/0.69  % (27984)------------------------------
% 2.09/0.69  % (27984)------------------------------
% 2.09/0.69  % (28006)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.09/0.69  % (28015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.69  % (28015)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.69  
% 2.09/0.69  % (28015)Memory used [KB]: 6396
% 2.09/0.69  % (28015)Time elapsed: 0.014 s
% 2.09/0.69  % (28015)Instructions burned: 12 (million)
% 2.09/0.69  % (28015)------------------------------
% 2.09/0.69  % (28015)------------------------------
% 2.09/0.69  % (28007)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.09/0.69  % (27997)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.09/0.70  % (27878)Instruction limit reached!
% 2.09/0.70  % (27878)------------------------------
% 2.09/0.70  % (27878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.70  % (27878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.70  % (27878)Termination reason: Unknown
% 2.09/0.70  % (27878)Termination phase: Clausification
% 2.09/0.70  
% 2.09/0.70  % (27878)Memory used [KB]: 55905
% 2.09/0.70  % (27878)Time elapsed: 0.063 s
% 2.09/0.70  % (27878)Instructions burned: 82 (million)
% 2.09/0.70  % (27878)------------------------------
% 2.09/0.70  % (27878)------------------------------
% 2.09/0.70  % (27997)Refutation not found, incomplete strategy% (27997)------------------------------
% 2.09/0.70  % (27997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.70  % (27997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.70  % (27997)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.70  
% 2.09/0.70  % (27997)Memory used [KB]: 6140
% 2.09/0.70  % (27997)Time elapsed: 0.005 s
% 2.09/0.70  % (27997)Instructions burned: 11 (million)
% 2.09/0.70  % (27997)------------------------------
% 2.09/0.70  % (27997)------------------------------
% 2.09/0.70  % (28013)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.09/0.70  % (28018)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.09/0.70  % (28017)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=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.09/0.70  % (27881)First to succeed.
% 2.42/0.71  % (28008)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.42/0.71  % (28018)Refutation not found, incomplete strategy% (28018)------------------------------
% 2.42/0.71  % (28018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (28018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (28018)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.71  
% 2.42/0.71  % (28018)Memory used [KB]: 5884
% 2.42/0.71  % (28018)Time elapsed: 0.003 s
% 2.42/0.71  % (28018)Instructions burned: 2 (million)
% 2.42/0.71  % (28018)------------------------------
% 2.42/0.71  % (28018)------------------------------
% 2.42/0.71  % (28008)Refutation not found, incomplete strategy% (28008)------------------------------
% 2.42/0.71  % (28008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (28008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (28008)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.71  
% 2.42/0.71  % (28008)Memory used [KB]: 6268
% 2.42/0.71  % (28008)Time elapsed: 0.006 s
% 2.42/0.71  % (28008)Instructions burned: 12 (million)
% 2.42/0.71  % (28008)------------------------------
% 2.42/0.71  % (28008)------------------------------
% 2.42/0.71  % (28022)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 2.42/0.71  % (28006)Refutation not found, incomplete strategy% (28006)------------------------------
% 2.42/0.71  % (28006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (28006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (28006)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.71  
% 2.42/0.71  % (28006)Memory used [KB]: 5884
% 2.42/0.71  % (28006)Time elapsed: 0.003 s
% 2.42/0.71  % (28006)Instructions burned: 2 (million)
% 2.42/0.71  % (28006)------------------------------
% 2.42/0.71  % (28006)------------------------------
% 2.42/0.71  % (28017)Refutation not found, incomplete strategy% (28017)------------------------------
% 2.42/0.71  % (28017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (28017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (28017)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.71  
% 2.42/0.71  % (28017)Memory used [KB]: 6268
% 2.42/0.71  % (28017)Time elapsed: 0.008 s
% 2.42/0.71  % (28017)Instructions burned: 12 (million)
% 2.42/0.71  % (28017)------------------------------
% 2.42/0.71  % (28017)------------------------------
% 2.42/0.71  % (28016)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.42/0.71  % (28016)Refutation not found, incomplete strategy% (28016)------------------------------
% 2.42/0.71  % (28016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (28016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (28016)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.71  
% 2.42/0.71  % (28016)Memory used [KB]: 5884
% 2.42/0.71  % (28016)Time elapsed: 0.002 s
% 2.42/0.71  % (28016)Instructions burned: 2 (million)
% 2.42/0.71  % (28016)------------------------------
% 2.42/0.71  % (28016)------------------------------
% 2.42/0.71  % (28003)Refutation not found, incomplete strategy% (28003)------------------------------
% 2.42/0.71  % (28003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (28003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (28003)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.71  
% 2.42/0.71  % (28003)Memory used [KB]: 6268
% 2.42/0.71  % (28003)Time elapsed: 0.008 s
% 2.42/0.71  % (28003)Instructions burned: 14 (million)
% 2.42/0.71  % (28003)------------------------------
% 2.42/0.71  % (28003)------------------------------
% 2.42/0.71  % (28022)Refutation not found, incomplete strategy% (28022)------------------------------
% 2.42/0.71  % (28022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72  % (28011)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.42/0.72  % (28013)Refutation not found, incomplete strategy% (28013)------------------------------
% 2.42/0.72  % (28013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72  % (28013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72  % (28013)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.72  
% 2.42/0.72  % (28013)Memory used [KB]: 5884
% 2.42/0.72  % (28013)Time elapsed: 0.003 s
% 2.42/0.72  % (28013)Instructions burned: 2 (million)
% 2.42/0.72  % (28013)------------------------------
% 2.42/0.72  % (28013)------------------------------
% 2.42/0.72  % (28022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72  % (28011)Refutation not found, incomplete strategy% (28011)------------------------------
% 2.42/0.72  % (28011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72  % (28011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72  % (28011)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.72  
% 2.42/0.72  % (28011)Memory used [KB]: 5884
% 2.42/0.72  % (28011)Time elapsed: 0.002 s
% 2.42/0.72  % (28011)Instructions burned: 1 (million)
% 2.42/0.72  % (28011)------------------------------
% 2.42/0.72  % (28011)------------------------------
% 2.42/0.72  % (28022)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.72  
% 2.42/0.72  % (28022)Memory used [KB]: 5884
% 2.42/0.72  % (28022)Time elapsed: 0.004 s
% 2.42/0.72  % (28022)Instructions burned: 2 (million)
% 2.42/0.72  % (28022)------------------------------
% 2.42/0.72  % (28022)------------------------------
% 2.42/0.72  % (28007)Refutation not found, incomplete strategy% (28007)------------------------------
% 2.42/0.72  % (28007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72  % (28007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72  % (28007)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.72  
% 2.42/0.72  % (28007)Memory used [KB]: 6140
% 2.42/0.72  % (28007)Time elapsed: 0.008 s
% 2.42/0.72  % (28007)Instructions burned: 10 (million)
% 2.42/0.72  % (28007)------------------------------
% 2.42/0.72  % (28007)------------------------------
% 2.42/0.72  % (28010)Instruction limit reached!
% 2.42/0.72  % (28010)------------------------------
% 2.42/0.72  % (28010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72  % (28010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72  % (28010)Termination reason: Unknown
% 2.42/0.72  % (28010)Termination phase: Saturation
% 2.42/0.72  
% 2.42/0.72  % (28010)Memory used [KB]: 6524
% 2.42/0.72  % (28010)Time elapsed: 0.108 s
% 2.42/0.72  % (28010)Instructions burned: 32 (million)
% 2.42/0.72  % (28010)------------------------------
% 2.42/0.72  % (28010)------------------------------
% 2.42/0.73  % (28037)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/97Mi)
% 2.42/0.73  % (28034)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.42/0.73  % (28034)Refutation not found, incomplete strategy% (28034)------------------------------
% 2.42/0.73  % (28034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.73  % (28034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.73  % (28034)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.73  
% 2.42/0.73  % (28034)Memory used [KB]: 5884
% 2.42/0.73  % (28034)Time elapsed: 0.002 s
% 2.42/0.73  % (28034)Instructions burned: 1 (million)
% 2.42/0.73  % (28034)------------------------------
% 2.42/0.73  % (28034)------------------------------
% 2.42/0.74  % (28040)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.42/0.74  % (28040)Refutation not found, incomplete strategy% (28040)------------------------------
% 2.42/0.74  % (28040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.74  % (28040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.74  % (28040)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.74  
% 2.42/0.74  % (28040)Memory used [KB]: 1407
% 2.42/0.74  % (28040)Time elapsed: 0.002 s
% 2.42/0.74  % (28040)Instructions burned: 3 (million)
% 2.42/0.74  % (28040)------------------------------
% 2.42/0.74  % (28040)------------------------------
% 2.42/0.75  % (28037)Refutation not found, incomplete strategy% (28037)------------------------------
% 2.42/0.75  % (28037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.75  % (28037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.75  % (28037)Termination reason: Refutation not found, incomplete strategy
% 2.42/0.75  
% 2.42/0.75  % (28037)Memory used [KB]: 6140
% 2.42/0.75  % (28037)Time elapsed: 0.007 s
% 2.42/0.75  % (28037)Instructions burned: 13 (million)
% 2.42/0.75  % (28037)------------------------------
% 2.42/0.75  % (28037)------------------------------
% 2.42/0.75  % (27881)Refutation found. Thanks to Tanya!
% 2.42/0.75  % SZS status Unsatisfiable for theBenchmark
% 2.42/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.42/0.76  % (27881)------------------------------
% 2.42/0.76  % (27881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.76  % (27881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.76  % (27881)Termination reason: Refutation
% 2.42/0.76  
% 2.42/0.76  % (27881)Memory used [KB]: 7547
% 2.42/0.76  % (27881)Time elapsed: 0.062 s
% 2.42/0.76  % (27881)Instructions burned: 88 (million)
% 2.42/0.76  % (27881)------------------------------
% 2.42/0.76  % (27881)------------------------------
% 2.42/0.76  % (27848)Success in time 0.408 s
%------------------------------------------------------------------------------