TSTP Solution File: ALG148+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG148+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:43:06 EDT 2022

% Result   : Unsatisfiable 2.08s 0.68s
% Output   : Refutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  129
% Syntax   : Number of formulae    :  906 (  20 unt;   0 def)
%            Number of atoms       : 3202 (1471 equ)
%            Maximal formula atoms :  180 (   3 avg)
%            Number of connectives : 4132 (1836   ~;1855   |; 344   &)
%                                         (  97 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  114 ( 112 usr; 113 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2518,plain,
    $false,
    inference(avatar_sat_refutation,[],[f332,f341,f350,f363,f380,f393,f402,f407,f412,f425,f434,f470,f475,f488,f513,f518,f527,f528,f533,f538,f547,f552,f565,f574,f588,f597,f630,f631,f632,f641,f642,f643,f648,f649,f650,f651,f660,f669,f679,f680,f681,f690,f700,f710,f724,f729,f730,f731,f736,f741,f742,f745,f750,f751,f752,f753,f755,f757,f758,f759,f769,f776,f777,f779,f784,f785,f786,f787,f794,f796,f797,f798,f814,f815,f816,f818,f819,f820,f826,f834,f835,f836,f845,f848,f849,f850,f855,f856,f858,f859,f860,f862,f863,f864,f865,f867,f868,f869,f870,f872,f873,f874,f875,f876,f878,f879,f880,f881,f883,f884,f885,f886,f887,f888,f891,f892,f893,f894,f895,f896,f897,f898,f900,f909,f912,f924,f927,f942,f945,f948,f952,f956,f965,f972,f982,f993,f996,f1002,f1005,f1009,f1013,f1016,f1019,f1026,f1039,f1047,f1052,f1061,f1077,f1085,f1098,f1110,f1114,f1117,f1139,f1152,f1174,f1178,f1191,f1202,f1212,f1215,f1227,f1240,f1262,f1284,f1294,f1300,f1307,f1315,f1332,f1335,f1339,f1343,f1348,f1354,f1364,f1377,f1382,f1402,f1416,f1418,f1421,f1424,f1431,f1436,f1442,f1461,f1464,f1471,f1476,f1478,f1484,f1505,f1512,f1515,f1526,f1529,f1532,f1536,f1556,f1563,f1570,f1575,f1582,f1585,f1600,f1651,f1654,f1656,f1672,f1776,f1780,f1789,f1790,f1793,f1798,f1799,f1802,f1821,f1848,f1856,f1863,f1878,f1892,f1935,f1944,f1945,f1955,f1961,f2025,f2028,f2037,f2056,f2058,f2069,f2184,f2185,f2187,f2190,f2191,f2198,f2212,f2342,f2344,f2347,f2351,f2368,f2425,f2484,f2487,f2489,f2506]) ).

fof(f2506,plain,
    ( ~ spl15_73
    | spl15_101
    | ~ spl15_102 ),
    inference(avatar_contradiction_clause,[],[f2505]) ).

fof(f2505,plain,
    ( $false
    | ~ spl15_73
    | spl15_101
    | ~ spl15_102 ),
    inference(subsumption_resolution,[],[f2504,f659]) ).

fof(f659,plain,
    ( e1 = op(e0,e3)
    | ~ spl15_73 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl15_73
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).

fof(f2504,plain,
    ( e1 != op(e0,e3)
    | spl15_101
    | ~ spl15_102 ),
    inference(forward_demodulation,[],[f840,f843]) ).

fof(f843,plain,
    ( e0 = op(op(e3,e3),e3)
    | ~ spl15_102 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f842,plain,
    ( spl15_102
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).

fof(f840,plain,
    ( e1 != op(op(op(e3,e3),e3),e3)
    | spl15_101 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f838,plain,
    ( spl15_101
  <=> e1 = op(op(op(e3,e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).

fof(f2489,plain,
    ( ~ spl15_85
    | ~ spl15_36
    | spl15_68 ),
    inference(avatar_split_clause,[],[f2488,f626,f481,f716]) ).

fof(f716,plain,
    ( spl15_85
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).

fof(f481,plain,
    ( spl15_36
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

fof(f626,plain,
    ( spl15_68
  <=> e3 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).

fof(f2488,plain,
    ( e3 != op(e1,e2)
    | ~ spl15_36
    | spl15_68 ),
    inference(forward_demodulation,[],[f628,f482]) ).

fof(f482,plain,
    ( e1 = op(e2,e2)
    | ~ spl15_36 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f628,plain,
    ( e3 != op(op(e2,e2),e2)
    | spl15_68 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f2487,plain,
    ( ~ spl15_18
    | ~ spl15_82
    | spl15_89
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f2486]) ).

fof(f2486,plain,
    ( $false
    | ~ spl15_18
    | ~ spl15_82
    | spl15_89
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f2485,f704]) ).

fof(f704,plain,
    ( e2 = op(e3,e0)
    | ~ spl15_82 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl15_82
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).

fof(f2485,plain,
    ( e2 != op(e3,e0)
    | ~ spl15_18
    | spl15_89
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f2360,f831]) ).

fof(f831,plain,
    ( e3 = op(e1,e0)
    | ~ spl15_100 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl15_100
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).

fof(f2360,plain,
    ( e2 != op(op(e1,e0),e0)
    | ~ spl15_18
    | spl15_89 ),
    inference(forward_demodulation,[],[f740,f400]) ).

fof(f400,plain,
    ( op(e0,e0) = e1
    | ~ spl15_18 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f399,plain,
    ( spl15_18
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f740,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | spl15_89 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f738,plain,
    ( spl15_89
  <=> e2 = op(op(op(e0,e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).

fof(f2484,plain,
    ( ~ spl15_48
    | ~ spl15_55
    | spl15_103 ),
    inference(avatar_contradiction_clause,[],[f2483]) ).

fof(f2483,plain,
    ( $false
    | ~ spl15_48
    | ~ spl15_55
    | spl15_103 ),
    inference(subsumption_resolution,[],[f2482,f569]) ).

fof(f569,plain,
    ( e2 = op(e1,e3)
    | ~ spl15_55 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl15_55
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).

fof(f2482,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_48
    | spl15_103 ),
    inference(superposition,[],[f854,f537]) ).

fof(f537,plain,
    ( e1 = op(e3,e3)
    | ~ spl15_48 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl15_48
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).

fof(f854,plain,
    ( e2 != op(op(e3,e3),e3)
    | spl15_103 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f852,plain,
    ( spl15_103
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).

fof(f2425,plain,
    ( ~ spl15_31
    | ~ spl15_48
    | ~ spl15_55
    | spl15_78 ),
    inference(avatar_contradiction_clause,[],[f2424]) ).

fof(f2424,plain,
    ( $false
    | ~ spl15_31
    | ~ spl15_48
    | ~ spl15_55
    | spl15_78 ),
    inference(subsumption_resolution,[],[f2423,f460]) ).

fof(f460,plain,
    ( e0 = op(e2,e3)
    | ~ spl15_31 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl15_31
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

fof(f2423,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_48
    | ~ spl15_55
    | spl15_78 ),
    inference(forward_demodulation,[],[f2421,f569]) ).

fof(f2421,plain,
    ( e0 != op(op(e1,e3),e3)
    | ~ spl15_48
    | spl15_78 ),
    inference(superposition,[],[f685,f537]) ).

fof(f685,plain,
    ( e0 != op(op(op(e3,e3),e3),e3)
    | spl15_78 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f683,plain,
    ( spl15_78
  <=> e0 = op(op(op(e3,e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).

fof(f2368,plain,
    ( ~ spl15_32
    | ~ spl15_36 ),
    inference(avatar_contradiction_clause,[],[f2367]) ).

fof(f2367,plain,
    ( $false
    | ~ spl15_32
    | ~ spl15_36 ),
    inference(subsumption_resolution,[],[f2265,f482]) ).

fof(f2265,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_32 ),
    inference(superposition,[],[f88,f464]) ).

fof(f464,plain,
    ( e1 = op(e2,e3)
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl15_32
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f88,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2351,plain,
    ( ~ spl15_49
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f2350]) ).

fof(f2350,plain,
    ( $false
    | ~ spl15_49
    | ~ spl15_50 ),
    inference(subsumption_resolution,[],[f2275,f546]) ).

fof(f546,plain,
    ( e3 = op(e2,e0)
    | ~ spl15_50 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl15_50
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).

fof(f2275,plain,
    ( e3 != op(e2,e0)
    | ~ spl15_49 ),
    inference(superposition,[],[f112,f542]) ).

fof(f542,plain,
    ( e3 = op(e2,e1)
    | ~ spl15_49 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl15_49
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).

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

fof(f2347,plain,
    ( ~ spl15_45
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2266,f462,f520]) ).

fof(f520,plain,
    ( spl15_45
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).

fof(f2266,plain,
    ( e1 != op(e1,e3)
    | ~ spl15_32 ),
    inference(superposition,[],[f91,f464]) ).

fof(f91,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2344,plain,
    ( ~ spl15_16
    | ~ spl15_31
    | spl15_102 ),
    inference(avatar_contradiction_clause,[],[f2343]) ).

fof(f2343,plain,
    ( $false
    | ~ spl15_16
    | ~ spl15_31
    | spl15_102 ),
    inference(subsumption_resolution,[],[f2251,f460]) ).

fof(f2251,plain,
    ( e0 != op(e2,e3)
    | ~ spl15_16
    | spl15_102 ),
    inference(superposition,[],[f844,f391]) ).

fof(f391,plain,
    ( e2 = op(e3,e3)
    | ~ spl15_16 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl15_16
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f844,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl15_102 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f2342,plain,
    ( ~ spl15_16
    | ~ spl15_32
    | spl15_78
    | ~ spl15_81 ),
    inference(avatar_contradiction_clause,[],[f2341]) ).

fof(f2341,plain,
    ( $false
    | ~ spl15_16
    | ~ spl15_32
    | spl15_78
    | ~ spl15_81 ),
    inference(subsumption_resolution,[],[f2340,f699]) ).

fof(f699,plain,
    ( e0 = op(e1,e3)
    | ~ spl15_81 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl15_81
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).

fof(f2340,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_16
    | ~ spl15_32
    | spl15_78 ),
    inference(forward_demodulation,[],[f2339,f464]) ).

fof(f2339,plain,
    ( e0 != op(op(e2,e3),e3)
    | ~ spl15_16
    | spl15_78 ),
    inference(superposition,[],[f685,f391]) ).

fof(f2212,plain,
    ( ~ spl15_16
    | ~ spl15_32
    | spl15_79 ),
    inference(avatar_contradiction_clause,[],[f2211]) ).

fof(f2211,plain,
    ( $false
    | ~ spl15_16
    | ~ spl15_32
    | spl15_79 ),
    inference(subsumption_resolution,[],[f2210,f464]) ).

fof(f2210,plain,
    ( e1 != op(e2,e3)
    | ~ spl15_16
    | spl15_79 ),
    inference(forward_demodulation,[],[f689,f391]) ).

fof(f689,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl15_79 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f687,plain,
    ( spl15_79
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).

fof(f2198,plain,
    ( ~ spl15_74
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f2197]) ).

fof(f2197,plain,
    ( $false
    | ~ spl15_74
    | ~ spl15_90 ),
    inference(subsumption_resolution,[],[f2196,f281]) ).

fof(f281,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f2196,plain,
    ( e2 = e3
    | ~ spl15_74
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f749,f664]) ).

fof(f664,plain,
    ( e2 = op(e0,e3)
    | ~ spl15_74 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl15_74
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).

fof(f749,plain,
    ( e3 = op(e0,e3)
    | ~ spl15_90 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f747,plain,
    ( spl15_90
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).

fof(f2191,plain,
    ( ~ spl15_90
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f2097,f414,f747]) ).

fof(f414,plain,
    ( spl15_21
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).

fof(f2097,plain,
    ( e3 != op(e0,e3)
    | ~ spl15_21 ),
    inference(superposition,[],[f128,f416]) ).

fof(f416,plain,
    ( e3 = op(e3,e3)
    | ~ spl15_21 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f128,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2190,plain,
    ( ~ spl15_14
    | ~ spl15_87 ),
    inference(avatar_contradiction_clause,[],[f2189]) ).

fof(f2189,plain,
    ( $false
    | ~ spl15_14
    | ~ spl15_87 ),
    inference(subsumption_resolution,[],[f2188,f280]) ).

fof(f280,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2188,plain,
    ( e0 = e3
    | ~ spl15_14
    | ~ spl15_87 ),
    inference(forward_demodulation,[],[f383,f728]) ).

fof(f728,plain,
    ( e0 = op(e3,e2)
    | ~ spl15_87 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl15_87
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).

fof(f383,plain,
    ( e3 = op(e3,e2)
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl15_14
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f2187,plain,
    ( spl15_86
    | ~ spl15_36
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f2186,f781,f481,f720]) ).

fof(f720,plain,
    ( spl15_86
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).

fof(f781,plain,
    ( spl15_94
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).

fof(f2186,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_36
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f782,f482]) ).

fof(f782,plain,
    ( e1 = op(op(e2,e2),e2)
    | ~ spl15_94 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f2185,plain,
    ( ~ spl15_86
    | ~ spl15_45 ),
    inference(avatar_split_clause,[],[f2119,f520,f720]) ).

fof(f2119,plain,
    ( e1 != op(e1,e2)
    | ~ spl15_45 ),
    inference(superposition,[],[f114,f521]) ).

fof(f521,plain,
    ( e1 = op(e1,e3)
    | ~ spl15_45 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f114,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2184,plain,
    ( spl15_7
    | ~ spl15_9
    | ~ spl15_59
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f2183]) ).

fof(f2183,plain,
    ( $false
    | spl15_7
    | ~ spl15_9
    | ~ spl15_59
    | ~ spl15_82 ),
    inference(subsumption_resolution,[],[f2182,f587]) ).

fof(f587,plain,
    ( e1 = op(e2,e0)
    | ~ spl15_59 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f585,plain,
    ( spl15_59
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).

fof(f2182,plain,
    ( e1 != op(e2,e0)
    | spl15_7
    | ~ spl15_9
    | ~ spl15_82 ),
    inference(forward_demodulation,[],[f2181,f704]) ).

fof(f2181,plain,
    ( e1 != op(op(e3,e0),e0)
    | spl15_7
    | ~ spl15_9 ),
    inference(superposition,[],[f354,f361]) ).

fof(f361,plain,
    ( op(e0,e0) = e3
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl15_9
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f354,plain,
    ( e1 != op(op(op(e0,e0),e0),e0)
    | spl15_7 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f352,plain,
    ( spl15_7
  <=> e1 = op(op(op(e0,e0),e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f2069,plain,
    ( ~ spl15_87
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f2068]) ).

fof(f2068,plain,
    ( $false
    | ~ spl15_87
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f2067,f283]) ).

fof(f283,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f2067,plain,
    ( e0 = e1
    | ~ spl15_87
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f813,f728]) ).

fof(f813,plain,
    ( e1 = op(e3,e2)
    | ~ spl15_98 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl15_98
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).

fof(f2058,plain,
    ( ~ spl15_83
    | ~ spl15_9
    | spl15_80 ),
    inference(avatar_split_clause,[],[f2057,f692,f360,f706]) ).

fof(f706,plain,
    ( spl15_83
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).

fof(f692,plain,
    ( spl15_80
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).

fof(f2057,plain,
    ( e1 != op(e3,e0)
    | ~ spl15_9
    | spl15_80 ),
    inference(forward_demodulation,[],[f694,f361]) ).

fof(f694,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl15_80 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f2056,plain,
    ( ~ spl15_82
    | spl15_8
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f1974,f360,f356,f702]) ).

fof(f356,plain,
    ( spl15_8
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f1974,plain,
    ( e2 != op(e3,e0)
    | spl15_8
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f358,f361]) ).

fof(f358,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl15_8 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f2037,plain,
    ( ~ spl15_16
    | ~ spl15_21 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2036,plain,
    ( $false
    | ~ spl15_16
    | ~ spl15_21 ),
    inference(subsumption_resolution,[],[f2035,f281]) ).

fof(f2035,plain,
    ( e2 = e3
    | ~ spl15_16
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f416,f391]) ).

fof(f2028,plain,
    ( ~ spl15_23
    | ~ spl15_47 ),
    inference(avatar_contradiction_clause,[],[f2027]) ).

fof(f2027,plain,
    ( $false
    | ~ spl15_23
    | ~ spl15_47 ),
    inference(subsumption_resolution,[],[f2020,f532]) ).

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

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

fof(f2020,plain,
    ( e2 != op(e1,e2)
    | ~ spl15_23 ),
    inference(superposition,[],[f90,f424]) ).

fof(f424,plain,
    ( e2 = op(e2,e2)
    | ~ spl15_23 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl15_23
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

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

fof(f2025,plain,
    ( ~ spl15_23
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f2024]) ).

fof(f2024,plain,
    ( $false
    | ~ spl15_23
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f2023,f646]) ).

fof(f646,plain,
    ( e2 = op(e2,e0)
    | ~ spl15_71 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl15_71
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).

fof(f2023,plain,
    ( e2 != op(e2,e0)
    | ~ spl15_23 ),
    inference(superposition,[],[f113,f424]) ).

fof(f113,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1961,plain,
    ( ~ spl15_23
    | ~ spl15_24 ),
    inference(avatar_contradiction_clause,[],[f1960]) ).

fof(f1960,plain,
    ( $false
    | ~ spl15_23
    | ~ spl15_24 ),
    inference(subsumption_resolution,[],[f1959,f281]) ).

fof(f1959,plain,
    ( e2 = e3
    | ~ spl15_23
    | ~ spl15_24 ),
    inference(forward_demodulation,[],[f428,f424]) ).

fof(f428,plain,
    ( e3 = op(e2,e2)
    | ~ spl15_24 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl15_24
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f1955,plain,
    ( ~ spl15_24
    | ~ spl15_67 ),
    inference(avatar_contradiction_clause,[],[f1954]) ).

fof(f1954,plain,
    ( $false
    | ~ spl15_24
    | ~ spl15_67 ),
    inference(subsumption_resolution,[],[f1953,f280]) ).

fof(f1953,plain,
    ( e0 = e3
    | ~ spl15_24
    | ~ spl15_67 ),
    inference(forward_demodulation,[],[f428,f623]) ).

fof(f623,plain,
    ( e0 = op(e2,e2)
    | ~ spl15_67 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f622,plain,
    ( spl15_67
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).

fof(f1945,plain,
    ( ~ spl15_55
    | ~ spl15_29
    | ~ spl15_73
    | spl15_92 ),
    inference(avatar_split_clause,[],[f1937,f766,f657,f449,f567]) ).

fof(f449,plain,
    ( spl15_29
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).

fof(f766,plain,
    ( spl15_92
  <=> e2 = op(op(op(e3,e3),e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).

fof(f1937,plain,
    ( e2 != op(e1,e3)
    | ~ spl15_29
    | ~ spl15_73
    | spl15_92 ),
    inference(forward_demodulation,[],[f1936,f659]) ).

fof(f1936,plain,
    ( e2 != op(op(e0,e3),e3)
    | ~ spl15_29
    | spl15_92 ),
    inference(forward_demodulation,[],[f768,f450]) ).

fof(f450,plain,
    ( e0 = op(e3,e3)
    | ~ spl15_29 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f768,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | spl15_92 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f1944,plain,
    ( ~ spl15_16
    | ~ spl15_29 ),
    inference(avatar_contradiction_clause,[],[f1943]) ).

fof(f1943,plain,
    ( $false
    | ~ spl15_16
    | ~ spl15_29 ),
    inference(subsumption_resolution,[],[f1942,f282]) ).

fof(f282,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1942,plain,
    ( e0 = e2
    | ~ spl15_16
    | ~ spl15_29 ),
    inference(forward_demodulation,[],[f391,f450]) ).

fof(f1935,plain,
    ( ~ spl15_29
    | ~ spl15_73
    | spl15_79 ),
    inference(avatar_contradiction_clause,[],[f1934]) ).

fof(f1934,plain,
    ( $false
    | ~ spl15_29
    | ~ spl15_73
    | spl15_79 ),
    inference(subsumption_resolution,[],[f1933,f659]) ).

fof(f1933,plain,
    ( e1 != op(e0,e3)
    | ~ spl15_29
    | spl15_79 ),
    inference(superposition,[],[f689,f450]) ).

fof(f1892,plain,
    ( ~ spl15_23
    | ~ spl15_36
    | spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1891]) ).

fof(f1891,plain,
    ( $false
    | ~ spl15_23
    | ~ spl15_36
    | spl15_94 ),
    inference(subsumption_resolution,[],[f1890,f482]) ).

fof(f1890,plain,
    ( e1 != op(e2,e2)
    | ~ spl15_23
    | spl15_94 ),
    inference(forward_demodulation,[],[f783,f424]) ).

fof(f783,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl15_94 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f1878,plain,
    ( ~ spl15_36
    | ~ spl15_67 ),
    inference(avatar_contradiction_clause,[],[f1877]) ).

fof(f1877,plain,
    ( $false
    | ~ spl15_36
    | ~ spl15_67 ),
    inference(subsumption_resolution,[],[f1876,f283]) ).

fof(f1876,plain,
    ( e0 = e1
    | ~ spl15_36
    | ~ spl15_67 ),
    inference(forward_demodulation,[],[f482,f623]) ).

fof(f1863,plain,
    ( ~ spl15_53
    | ~ spl15_64 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1862,plain,
    ( $false
    | ~ spl15_53
    | ~ spl15_64 ),
    inference(subsumption_resolution,[],[f1861,f282]) ).

fof(f1861,plain,
    ( e0 = e2
    | ~ spl15_53
    | ~ spl15_64 ),
    inference(forward_demodulation,[],[f560,f611]) ).

fof(f611,plain,
    ( e0 = op(e3,e1)
    | ~ spl15_64 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl15_64
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).

fof(f560,plain,
    ( e2 = op(e3,e1)
    | ~ spl15_53 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f558,plain,
    ( spl15_53
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).

fof(f1856,plain,
    ( ~ spl15_16
    | ~ spl15_48 ),
    inference(avatar_contradiction_clause,[],[f1855]) ).

fof(f1855,plain,
    ( $false
    | ~ spl15_16
    | ~ spl15_48 ),
    inference(subsumption_resolution,[],[f1854,f284]) ).

fof(f284,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1854,plain,
    ( e1 = e2
    | ~ spl15_16
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f391,f537]) ).

fof(f1848,plain,
    ( ~ spl15_31
    | ~ spl15_81 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1847,plain,
    ( $false
    | ~ spl15_31
    | ~ spl15_81 ),
    inference(subsumption_resolution,[],[f1842,f699]) ).

fof(f1842,plain,
    ( e0 != op(e1,e3)
    | ~ spl15_31 ),
    inference(superposition,[],[f91,f460]) ).

fof(f1821,plain,
    ( ~ spl15_50
    | ~ spl15_59 ),
    inference(avatar_contradiction_clause,[],[f1820]) ).

fof(f1820,plain,
    ( $false
    | ~ spl15_50
    | ~ spl15_59 ),
    inference(subsumption_resolution,[],[f1819,f285]) ).

fof(f285,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1819,plain,
    ( e1 = e3
    | ~ spl15_50
    | ~ spl15_59 ),
    inference(forward_demodulation,[],[f546,f587]) ).

fof(f1802,plain,
    ( ~ spl15_95
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f1718,f524,f790]) ).

fof(f790,plain,
    ( spl15_95
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).

fof(f524,plain,
    ( spl15_46
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).

fof(f1718,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_46 ),
    inference(superposition,[],[f104,f525]) ).

fof(f525,plain,
    ( e3 = op(e1,e1)
    | ~ spl15_46 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f104,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1799,plain,
    ( ~ spl15_69
    | ~ spl15_45 ),
    inference(avatar_split_clause,[],[f1699,f520,f634]) ).

fof(f634,plain,
    ( spl15_69
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).

fof(f1699,plain,
    ( e1 != op(e1,e0)
    | ~ spl15_45 ),
    inference(superposition,[],[f87,f521]) ).

fof(f87,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1798,plain,
    ( ~ spl15_56
    | ~ spl15_80
    | spl15_89 ),
    inference(avatar_split_clause,[],[f1797,f738,f692,f571]) ).

fof(f571,plain,
    ( spl15_56
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).

fof(f1797,plain,
    ( e2 != op(e1,e0)
    | ~ spl15_80
    | spl15_89 ),
    inference(forward_demodulation,[],[f740,f693]) ).

fof(f693,plain,
    ( e1 = op(op(e0,e0),e0)
    | ~ spl15_80 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f1793,plain,
    ( ~ spl15_51
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f1792]) ).

fof(f1792,plain,
    ( $false
    | ~ spl15_51
    | ~ spl15_84 ),
    inference(subsumption_resolution,[],[f1749,f551]) ).

fof(f551,plain,
    ( e0 = op(e0,e2)
    | ~ spl15_51 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl15_51
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).

fof(f1749,plain,
    ( e0 != op(e0,e2)
    | ~ spl15_84 ),
    inference(superposition,[],[f127,f714]) ).

fof(f714,plain,
    ( e0 = op(e1,e2)
    | ~ spl15_84 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f712,plain,
    ( spl15_84
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).

fof(f127,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1790,plain,
    ( ~ spl15_74
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f1698,f431,f662]) ).

fof(f431,plain,
    ( spl15_25
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

fof(f1698,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_25 ),
    inference(superposition,[],[f86,f433]) ).

fof(f433,plain,
    ( e2 = op(e2,e3)
    | ~ spl15_25 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f86,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1789,plain,
    ( ~ spl15_10
    | ~ spl15_18 ),
    inference(avatar_contradiction_clause,[],[f1788]) ).

fof(f1788,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_18 ),
    inference(subsumption_resolution,[],[f1787,f283]) ).

fof(f1787,plain,
    ( e0 = e1
    | ~ spl15_10
    | ~ spl15_18 ),
    inference(forward_demodulation,[],[f400,f367]) ).

fof(f367,plain,
    ( e0 = op(e0,e0)
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl15_10
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f1780,plain,
    ( ~ spl15_25
    | ~ spl15_35 ),
    inference(avatar_contradiction_clause,[],[f1779]) ).

fof(f1779,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_35 ),
    inference(subsumption_resolution,[],[f1720,f478]) ).

fof(f478,plain,
    ( e2 = op(e2,e1)
    | ~ spl15_35 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl15_35
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

fof(f1720,plain,
    ( e2 != op(e2,e1)
    | ~ spl15_25 ),
    inference(superposition,[],[f105,f433]) ).

fof(f105,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1776,plain,
    ( ~ spl15_10
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f1741,f377,f365]) ).

fof(f377,plain,
    ( spl15_13
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f1741,plain,
    ( e0 != op(e0,e0)
    | ~ spl15_13 ),
    inference(superposition,[],[f121,f379]) ).

fof(f379,plain,
    ( e0 = op(e2,e0)
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f121,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1672,plain,
    ( ~ spl15_45
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f1671]) ).

fof(f1671,plain,
    ( $false
    | ~ spl15_45
    | ~ spl15_97 ),
    inference(subsumption_resolution,[],[f1665,f285]) ).

fof(f1665,plain,
    ( e1 = e3
    | ~ spl15_45
    | ~ spl15_97 ),
    inference(superposition,[],[f808,f521]) ).

fof(f808,plain,
    ( e3 = op(e1,e3)
    | ~ spl15_97 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f806,plain,
    ( spl15_97
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).

fof(f1656,plain,
    ( ~ spl15_74
    | ~ spl15_29
    | spl15_103 ),
    inference(avatar_split_clause,[],[f1612,f852,f449,f662]) ).

fof(f1612,plain,
    ( e2 != op(e0,e3)
    | ~ spl15_29
    | spl15_103 ),
    inference(forward_demodulation,[],[f854,f450]) ).

fof(f1654,plain,
    ( ~ spl15_73
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f1653]) ).

fof(f1653,plain,
    ( $false
    | ~ spl15_73
    | ~ spl15_90 ),
    inference(subsumption_resolution,[],[f1652,f285]) ).

fof(f1652,plain,
    ( e1 = e3
    | ~ spl15_73
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f749,f659]) ).

fof(f1651,plain,
    ( ~ spl15_84
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f1650]) ).

fof(f1650,plain,
    ( $false
    | ~ spl15_84
    | ~ spl15_86 ),
    inference(subsumption_resolution,[],[f1646,f283]) ).

fof(f1646,plain,
    ( e0 = e1
    | ~ spl15_84
    | ~ spl15_86 ),
    inference(superposition,[],[f714,f722]) ).

fof(f722,plain,
    ( e1 = op(e1,e2)
    | ~ spl15_86 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f1600,plain,
    ( ~ spl15_52
    | spl15_76
    | ~ spl15_95
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f1599]) ).

fof(f1599,plain,
    ( $false
    | ~ spl15_52
    | spl15_76
    | ~ spl15_95
    | ~ spl15_96 ),
    inference(subsumption_resolution,[],[f1598,f792]) ).

fof(f792,plain,
    ( e3 = op(e0,e1)
    | ~ spl15_95 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f1598,plain,
    ( e3 != op(e0,e1)
    | ~ spl15_52
    | spl15_76
    | ~ spl15_96 ),
    inference(forward_demodulation,[],[f1597,f802]) ).

fof(f802,plain,
    ( e0 = op(e2,e1)
    | ~ spl15_96 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl15_96
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).

fof(f1597,plain,
    ( e3 != op(op(e2,e1),e1)
    | ~ spl15_52
    | spl15_76 ),
    inference(forward_demodulation,[],[f673,f556]) ).

fof(f556,plain,
    ( e2 = op(e1,e1)
    | ~ spl15_52 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f554,plain,
    ( spl15_52
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).

fof(f673,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | spl15_76 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f671,plain,
    ( spl15_76
  <=> e3 = op(op(op(e1,e1),e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).

fof(f1585,plain,
    ( ~ spl15_52
    | spl15_63
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | ~ spl15_52
    | spl15_63
    | ~ spl15_96 ),
    inference(subsumption_resolution,[],[f1583,f802]) ).

fof(f1583,plain,
    ( e0 != op(e2,e1)
    | ~ spl15_52
    | spl15_63 ),
    inference(forward_demodulation,[],[f606,f556]) ).

fof(f606,plain,
    ( e0 != op(op(e1,e1),e1)
    | spl15_63 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f604,plain,
    ( spl15_63
  <=> e0 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).

fof(f1582,plain,
    ( ~ spl15_11
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f1581]) ).

fof(f1581,plain,
    ( $false
    | ~ spl15_11
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f1580,f283]) ).

fof(f1580,plain,
    ( e0 = e1
    | ~ spl15_11
    | ~ spl15_83 ),
    inference(forward_demodulation,[],[f708,f371]) ).

fof(f371,plain,
    ( e0 = op(e3,e0)
    | ~ spl15_11 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f369,plain,
    ( spl15_11
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f708,plain,
    ( e1 = op(e3,e0)
    | ~ spl15_83 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f1575,plain,
    ( ~ spl15_51
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | ~ spl15_51
    | ~ spl15_75 ),
    inference(subsumption_resolution,[],[f1573,f282]) ).

fof(f1573,plain,
    ( e0 = e2
    | ~ spl15_51
    | ~ spl15_75 ),
    inference(forward_demodulation,[],[f668,f551]) ).

fof(f668,plain,
    ( e2 = op(e0,e2)
    | ~ spl15_75 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl15_75
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).

fof(f1570,plain,
    ( ~ spl15_51
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f1569]) ).

fof(f1569,plain,
    ( $false
    | ~ spl15_51
    | ~ spl15_88 ),
    inference(subsumption_resolution,[],[f1568,f280]) ).

fof(f1568,plain,
    ( e0 = e3
    | ~ spl15_51
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f735,f551]) ).

fof(f735,plain,
    ( e3 = op(e0,e2)
    | ~ spl15_88 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl15_88
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).

fof(f1563,plain,
    ( ~ spl15_75
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1562,plain,
    ( $false
    | ~ spl15_75
    | ~ spl15_88 ),
    inference(subsumption_resolution,[],[f1561,f281]) ).

fof(f1561,plain,
    ( e2 = e3
    | ~ spl15_75
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f735,f668]) ).

fof(f1556,plain,
    ( ~ spl15_25
    | ~ spl15_32 ),
    inference(avatar_contradiction_clause,[],[f1555]) ).

fof(f1555,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f1551,f284]) ).

fof(f1551,plain,
    ( e1 = e2
    | ~ spl15_25
    | ~ spl15_32 ),
    inference(superposition,[],[f433,f464]) ).

fof(f1536,plain,
    ( ~ spl15_14
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f1535]) ).

fof(f1535,plain,
    ( $false
    | ~ spl15_14
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f1534,f285]) ).

fof(f1534,plain,
    ( e1 = e3
    | ~ spl15_14
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f383,f813]) ).

fof(f1532,plain,
    ( ~ spl15_22
    | ~ spl15_52 ),
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1531,plain,
    ( $false
    | ~ spl15_22
    | ~ spl15_52 ),
    inference(subsumption_resolution,[],[f1530,f284]) ).

fof(f1530,plain,
    ( e1 = e2
    | ~ spl15_22
    | ~ spl15_52 ),
    inference(forward_demodulation,[],[f556,f420]) ).

fof(f420,plain,
    ( e1 = op(e1,e1)
    | ~ spl15_22 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl15_22
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f1529,plain,
    ( ~ spl15_12
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1528]) ).

fof(f1528,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f1527,f280]) ).

fof(f1527,plain,
    ( e0 = e3
    | ~ spl15_12
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f831,f375]) ).

fof(f375,plain,
    ( e0 = op(e1,e0)
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl15_12
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f1526,plain,
    ( ~ spl15_22
    | ~ spl15_46 ),
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | ~ spl15_22
    | ~ spl15_46 ),
    inference(subsumption_resolution,[],[f1524,f285]) ).

fof(f1524,plain,
    ( e1 = e3
    | ~ spl15_22
    | ~ spl15_46 ),
    inference(forward_demodulation,[],[f525,f420]) ).

fof(f1515,plain,
    ( ~ spl15_49
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1514,plain,
    ( $false
    | ~ spl15_49
    | ~ spl15_96 ),
    inference(subsumption_resolution,[],[f1513,f280]) ).

fof(f1513,plain,
    ( e0 = e3
    | ~ spl15_49
    | ~ spl15_96 ),
    inference(forward_demodulation,[],[f542,f802]) ).

fof(f1512,plain,
    ( ~ spl15_58
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1511,plain,
    ( $false
    | ~ spl15_58
    | ~ spl15_96 ),
    inference(subsumption_resolution,[],[f1510,f283]) ).

fof(f1510,plain,
    ( e0 = e1
    | ~ spl15_58
    | ~ spl15_96 ),
    inference(forward_demodulation,[],[f583,f802]) ).

fof(f583,plain,
    ( e1 = op(e2,e1)
    | ~ spl15_58 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f581,plain,
    ( spl15_58
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).

fof(f1505,plain,
    ( ~ spl15_24
    | spl15_94
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | ~ spl15_24
    | spl15_94
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f1479,f813]) ).

fof(f1479,plain,
    ( e1 != op(e3,e2)
    | ~ spl15_24
    | spl15_94 ),
    inference(forward_demodulation,[],[f783,f428]) ).

fof(f1484,plain,
    ( ~ spl15_32
    | spl15_101
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f1247,f852,f838,f462]) ).

fof(f1247,plain,
    ( e1 != op(e2,e3)
    | spl15_101
    | ~ spl15_103 ),
    inference(forward_demodulation,[],[f840,f853]) ).

fof(f853,plain,
    ( e2 = op(op(e3,e3),e3)
    | ~ spl15_103 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f1478,plain,
    ( ~ spl15_100
    | ~ spl15_18
    | spl15_27 ),
    inference(avatar_split_clause,[],[f1477,f440,f399,f829]) ).

fof(f440,plain,
    ( spl15_27
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f1477,plain,
    ( e3 != op(e1,e0)
    | ~ spl15_18
    | spl15_27 ),
    inference(forward_demodulation,[],[f442,f400]) ).

fof(f442,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl15_27 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1476,plain,
    ( ~ spl15_3
    | ~ spl15_53 ),
    inference(avatar_contradiction_clause,[],[f1475]) ).

fof(f1475,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_53 ),
    inference(subsumption_resolution,[],[f1474,f284]) ).

fof(f1474,plain,
    ( e1 = e2
    | ~ spl15_3
    | ~ spl15_53 ),
    inference(forward_demodulation,[],[f560,f336]) ).

fof(f336,plain,
    ( e1 = op(e3,e1)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f334,plain,
    ( spl15_3
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f1471,plain,
    ( ~ spl15_10
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1470,plain,
    ( $false
    | ~ spl15_10
    | ~ spl15_26 ),
    inference(subsumption_resolution,[],[f1469,f282]) ).

fof(f1469,plain,
    ( e0 = e2
    | ~ spl15_10
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f437,f367]) ).

fof(f437,plain,
    ( op(e0,e0) = e2
    | ~ spl15_26 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f436,plain,
    ( spl15_26
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f1464,plain,
    ( ~ spl15_2
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1463]) ).

fof(f1463,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f1462,f285]) ).

fof(f1462,plain,
    ( e1 = e3
    | ~ spl15_2
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f792,f331]) ).

fof(f331,plain,
    ( e1 = op(e0,e1)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl15_2
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f1461,plain,
    ( ~ spl15_29
    | ~ spl15_48 ),
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | ~ spl15_29
    | ~ spl15_48 ),
    inference(subsumption_resolution,[],[f1455,f283]) ).

fof(f1455,plain,
    ( e0 = e1
    | ~ spl15_29
    | ~ spl15_48 ),
    inference(superposition,[],[f537,f450]) ).

fof(f1442,plain,
    ( ~ spl15_84
    | ~ spl15_36
    | spl15_61 ),
    inference(avatar_split_clause,[],[f1441,f594,f481,f712]) ).

fof(f594,plain,
    ( spl15_61
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).

fof(f1441,plain,
    ( e0 != op(e1,e2)
    | ~ spl15_36
    | spl15_61 ),
    inference(forward_demodulation,[],[f596,f482]) ).

fof(f596,plain,
    ( e0 != op(op(e2,e2),e2)
    | spl15_61 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1436,plain,
    ( ~ spl15_61
    | ~ spl15_68 ),
    inference(avatar_contradiction_clause,[],[f1435]) ).

fof(f1435,plain,
    ( $false
    | ~ spl15_61
    | ~ spl15_68 ),
    inference(subsumption_resolution,[],[f1434,f280]) ).

fof(f1434,plain,
    ( e0 = e3
    | ~ spl15_61
    | ~ spl15_68 ),
    inference(forward_demodulation,[],[f627,f595]) ).

fof(f595,plain,
    ( e0 = op(op(e2,e2),e2)
    | ~ spl15_61 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f627,plain,
    ( e3 = op(op(e2,e2),e2)
    | ~ spl15_68 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f1431,plain,
    ( ~ spl15_35
    | ~ spl15_96 ),
    inference(avatar_contradiction_clause,[],[f1430]) ).

fof(f1430,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_96 ),
    inference(subsumption_resolution,[],[f1429,f282]) ).

fof(f1429,plain,
    ( e0 = e2
    | ~ spl15_35
    | ~ spl15_96 ),
    inference(forward_demodulation,[],[f478,f802]) ).

fof(f1424,plain,
    ( ~ spl15_44
    | ~ spl15_87 ),
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1423,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_87 ),
    inference(subsumption_resolution,[],[f1422,f282]) ).

fof(f1422,plain,
    ( e0 = e2
    | ~ spl15_44
    | ~ spl15_87 ),
    inference(forward_demodulation,[],[f517,f728]) ).

fof(f517,plain,
    ( e2 = op(e3,e2)
    | ~ spl15_44 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl15_44
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).

fof(f1421,plain,
    ( ~ spl15_72
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f1420]) ).

fof(f1420,plain,
    ( $false
    | ~ spl15_72
    | ~ spl15_88 ),
    inference(subsumption_resolution,[],[f1419,f285]) ).

fof(f1419,plain,
    ( e1 = e3
    | ~ spl15_72
    | ~ spl15_88 ),
    inference(forward_demodulation,[],[f735,f655]) ).

fof(f655,plain,
    ( e1 = op(e0,e2)
    | ~ spl15_72 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f653,plain,
    ( spl15_72
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).

fof(f1418,plain,
    ( spl15_60
    | ~ spl15_67
    | ~ spl15_72
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f1417]) ).

fof(f1417,plain,
    ( $false
    | spl15_60
    | ~ spl15_67
    | ~ spl15_72
    | ~ spl15_85 ),
    inference(subsumption_resolution,[],[f1387,f718]) ).

fof(f718,plain,
    ( e3 = op(e1,e2)
    | ~ spl15_85 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f1387,plain,
    ( e3 != op(e1,e2)
    | spl15_60
    | ~ spl15_67
    | ~ spl15_72 ),
    inference(forward_demodulation,[],[f1371,f655]) ).

fof(f1371,plain,
    ( e3 != op(op(e0,e2),e2)
    | spl15_60
    | ~ spl15_67 ),
    inference(forward_demodulation,[],[f592,f623]) ).

fof(f592,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | spl15_60 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f590,plain,
    ( spl15_60
  <=> e3 = op(op(op(e2,e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).

fof(f1416,plain,
    ( ~ spl15_44
    | ~ spl15_98 ),
    inference(avatar_contradiction_clause,[],[f1415]) ).

fof(f1415,plain,
    ( $false
    | ~ spl15_44
    | ~ spl15_98 ),
    inference(subsumption_resolution,[],[f1414,f284]) ).

fof(f1414,plain,
    ( e1 = e2
    | ~ spl15_44
    | ~ spl15_98 ),
    inference(forward_demodulation,[],[f517,f813]) ).

fof(f1402,plain,
    ( ~ spl15_53
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f1401]) ).

fof(f1401,plain,
    ( $false
    | ~ spl15_53
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f1395,f281]) ).

fof(f1395,plain,
    ( e2 = e3
    | ~ spl15_53
    | ~ spl15_65 ),
    inference(superposition,[],[f560,f615]) ).

fof(f615,plain,
    ( e3 = op(e3,e1)
    | ~ spl15_65 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f613,plain,
    ( spl15_65
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).

fof(f1382,plain,
    ( ~ spl15_19
    | ~ spl15_90 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | ~ spl15_19
    | ~ spl15_90 ),
    inference(subsumption_resolution,[],[f1380,f280]) ).

fof(f1380,plain,
    ( e0 = e3
    | ~ spl15_19
    | ~ spl15_90 ),
    inference(forward_demodulation,[],[f749,f405]) ).

fof(f405,plain,
    ( e0 = op(e0,e3)
    | ~ spl15_19 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl15_19
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f1377,plain,
    ( ~ spl15_67
    | ~ spl15_72
    | spl15_94 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1376,plain,
    ( $false
    | ~ spl15_67
    | ~ spl15_72
    | spl15_94 ),
    inference(subsumption_resolution,[],[f1375,f655]) ).

fof(f1375,plain,
    ( e1 != op(e0,e2)
    | ~ spl15_67
    | spl15_94 ),
    inference(forward_demodulation,[],[f783,f623]) ).

fof(f1364,plain,
    ( spl15_60
    | ~ spl15_61
    | ~ spl15_88 ),
    inference(avatar_contradiction_clause,[],[f1363]) ).

fof(f1363,plain,
    ( $false
    | spl15_60
    | ~ spl15_61
    | ~ spl15_88 ),
    inference(subsumption_resolution,[],[f1362,f735]) ).

fof(f1362,plain,
    ( e3 != op(e0,e2)
    | spl15_60
    | ~ spl15_61 ),
    inference(forward_demodulation,[],[f592,f595]) ).

fof(f1354,plain,
    ( ~ spl15_47
    | ~ spl15_84 ),
    inference(avatar_contradiction_clause,[],[f1353]) ).

fof(f1353,plain,
    ( $false
    | ~ spl15_47
    | ~ spl15_84 ),
    inference(subsumption_resolution,[],[f1352,f282]) ).

fof(f1352,plain,
    ( e0 = e2
    | ~ spl15_47
    | ~ spl15_84 ),
    inference(forward_demodulation,[],[f532,f714]) ).

fof(f1348,plain,
    ( ~ spl15_47
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | ~ spl15_47
    | ~ spl15_86 ),
    inference(subsumption_resolution,[],[f1346,f284]) ).

fof(f1346,plain,
    ( e1 = e2
    | ~ spl15_47
    | ~ spl15_86 ),
    inference(forward_demodulation,[],[f532,f722]) ).

fof(f1343,plain,
    ( ~ spl15_72
    | ~ spl15_75 ),
    inference(avatar_contradiction_clause,[],[f1342]) ).

fof(f1342,plain,
    ( $false
    | ~ spl15_72
    | ~ spl15_75 ),
    inference(subsumption_resolution,[],[f1341,f284]) ).

fof(f1341,plain,
    ( e1 = e2
    | ~ spl15_72
    | ~ spl15_75 ),
    inference(forward_demodulation,[],[f668,f655]) ).

fof(f1339,plain,
    ( ~ spl15_85
    | ~ spl15_86 ),
    inference(avatar_contradiction_clause,[],[f1338]) ).

fof(f1338,plain,
    ( $false
    | ~ spl15_85
    | ~ spl15_86 ),
    inference(subsumption_resolution,[],[f1337,f285]) ).

fof(f1337,plain,
    ( e1 = e3
    | ~ spl15_85
    | ~ spl15_86 ),
    inference(forward_demodulation,[],[f718,f722]) ).

fof(f1335,plain,
    ( ~ spl15_9
    | ~ spl15_10 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1334,plain,
    ( $false
    | ~ spl15_9
    | ~ spl15_10 ),
    inference(subsumption_resolution,[],[f1333,f280]) ).

fof(f1333,plain,
    ( e0 = e3
    | ~ spl15_9
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f361,f367]) ).

fof(f1332,plain,
    ( ~ spl15_82
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f1331]) ).

fof(f1331,plain,
    ( $false
    | ~ spl15_82
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f1328,f284]) ).

fof(f1328,plain,
    ( e1 = e2
    | ~ spl15_82
    | ~ spl15_83 ),
    inference(superposition,[],[f704,f708]) ).

fof(f1315,plain,
    ( ~ spl15_11
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f1314]) ).

fof(f1314,plain,
    ( $false
    | ~ spl15_11
    | ~ spl15_82 ),
    inference(subsumption_resolution,[],[f1311,f282]) ).

fof(f1311,plain,
    ( e0 = e2
    | ~ spl15_11
    | ~ spl15_82 ),
    inference(superposition,[],[f704,f371]) ).

fof(f1307,plain,
    ( ~ spl15_19
    | ~ spl15_73 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1306,plain,
    ( $false
    | ~ spl15_19
    | ~ spl15_73 ),
    inference(subsumption_resolution,[],[f1305,f283]) ).

fof(f1305,plain,
    ( e0 = e1
    | ~ spl15_19
    | ~ spl15_73 ),
    inference(forward_demodulation,[],[f659,f405]) ).

fof(f1300,plain,
    ( ~ spl15_54
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1299]) ).

fof(f1299,plain,
    ( $false
    | ~ spl15_54
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f1298,f281]) ).

fof(f1298,plain,
    ( e2 = e3
    | ~ spl15_54
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f792,f564]) ).

fof(f564,plain,
    ( e2 = op(e0,e1)
    | ~ spl15_54 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl15_54
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).

fof(f1294,plain,
    ( ~ spl15_28
    | ~ spl15_82 ),
    inference(avatar_contradiction_clause,[],[f1293]) ).

fof(f1293,plain,
    ( $false
    | ~ spl15_28
    | ~ spl15_82 ),
    inference(subsumption_resolution,[],[f1289,f281]) ).

fof(f1289,plain,
    ( e2 = e3
    | ~ spl15_28
    | ~ spl15_82 ),
    inference(superposition,[],[f446,f704]) ).

fof(f446,plain,
    ( e3 = op(e3,e0)
    | ~ spl15_28 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl15_28
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f1284,plain,
    ( ~ spl15_73
    | ~ spl15_74 ),
    inference(avatar_contradiction_clause,[],[f1283]) ).

fof(f1283,plain,
    ( $false
    | ~ spl15_73
    | ~ spl15_74 ),
    inference(subsumption_resolution,[],[f1279,f284]) ).

fof(f1279,plain,
    ( e1 = e2
    | ~ spl15_73
    | ~ spl15_74 ),
    inference(superposition,[],[f664,f659]) ).

fof(f1262,plain,
    ( ~ spl15_3
    | ~ spl15_64 ),
    inference(avatar_contradiction_clause,[],[f1261]) ).

fof(f1261,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_64 ),
    inference(subsumption_resolution,[],[f1257,f283]) ).

fof(f1257,plain,
    ( e0 = e1
    | ~ spl15_3
    | ~ spl15_64 ),
    inference(superposition,[],[f611,f336]) ).

fof(f1240,plain,
    ( ~ spl15_49
    | ~ spl15_58 ),
    inference(avatar_contradiction_clause,[],[f1239]) ).

fof(f1239,plain,
    ( $false
    | ~ spl15_49
    | ~ spl15_58 ),
    inference(subsumption_resolution,[],[f1236,f285]) ).

fof(f1236,plain,
    ( e1 = e3
    | ~ spl15_49
    | ~ spl15_58 ),
    inference(superposition,[],[f542,f583]) ).

fof(f1227,plain,
    ( ~ spl15_84
    | spl15_93
    | ~ spl15_94 ),
    inference(avatar_split_clause,[],[f1221,f781,f772,f712]) ).

fof(f772,plain,
    ( spl15_93
  <=> e0 = op(op(op(e2,e2),e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).

fof(f1221,plain,
    ( e0 != op(e1,e2)
    | spl15_93
    | ~ spl15_94 ),
    inference(forward_demodulation,[],[f774,f782]) ).

fof(f774,plain,
    ( e0 != op(op(op(e2,e2),e2),e2)
    | spl15_93 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f1215,plain,
    ( ~ spl15_35
    | ~ spl15_49 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1214,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_49 ),
    inference(subsumption_resolution,[],[f1213,f281]) ).

fof(f1213,plain,
    ( e2 = e3
    | ~ spl15_35
    | ~ spl15_49 ),
    inference(forward_demodulation,[],[f542,f478]) ).

fof(f1212,plain,
    ( ~ spl15_81
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f1211]) ).

fof(f1211,plain,
    ( $false
    | ~ spl15_81
    | ~ spl15_97 ),
    inference(subsumption_resolution,[],[f1210,f280]) ).

fof(f1210,plain,
    ( e0 = e3
    | ~ spl15_81
    | ~ spl15_97 ),
    inference(forward_demodulation,[],[f808,f699]) ).

fof(f1202,plain,
    ( ~ spl15_55
    | ~ spl15_81 ),
    inference(avatar_contradiction_clause,[],[f1201]) ).

fof(f1201,plain,
    ( $false
    | ~ spl15_55
    | ~ spl15_81 ),
    inference(subsumption_resolution,[],[f1200,f282]) ).

fof(f1200,plain,
    ( e0 = e2
    | ~ spl15_55
    | ~ spl15_81 ),
    inference(forward_demodulation,[],[f569,f699]) ).

fof(f1191,plain,
    ( ~ spl15_47
    | ~ spl15_85 ),
    inference(avatar_contradiction_clause,[],[f1190]) ).

fof(f1190,plain,
    ( $false
    | ~ spl15_47
    | ~ spl15_85 ),
    inference(subsumption_resolution,[],[f1189,f281]) ).

fof(f1189,plain,
    ( e2 = e3
    | ~ spl15_47
    | ~ spl15_85 ),
    inference(forward_demodulation,[],[f718,f532]) ).

fof(f1178,plain,
    ( ~ spl15_13
    | ~ spl15_50 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1177,plain,
    ( $false
    | ~ spl15_13
    | ~ spl15_50 ),
    inference(subsumption_resolution,[],[f1176,f280]) ).

fof(f1176,plain,
    ( e0 = e3
    | ~ spl15_13
    | ~ spl15_50 ),
    inference(forward_demodulation,[],[f546,f379]) ).

fof(f1174,plain,
    ( ~ spl15_28
    | ~ spl15_83 ),
    inference(avatar_contradiction_clause,[],[f1173]) ).

fof(f1173,plain,
    ( $false
    | ~ spl15_28
    | ~ spl15_83 ),
    inference(subsumption_resolution,[],[f1169,f285]) ).

fof(f1169,plain,
    ( e1 = e3
    | ~ spl15_28
    | ~ spl15_83 ),
    inference(superposition,[],[f446,f708]) ).

fof(f1152,plain,
    ( ~ spl15_13
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1151]) ).

fof(f1151,plain,
    ( $false
    | ~ spl15_13
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f1148,f282]) ).

fof(f1148,plain,
    ( e0 = e2
    | ~ spl15_13
    | ~ spl15_71 ),
    inference(superposition,[],[f379,f646]) ).

fof(f1139,plain,
    ( ~ spl15_12
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_69 ),
    inference(subsumption_resolution,[],[f1134,f283]) ).

fof(f1134,plain,
    ( e0 = e1
    | ~ spl15_12
    | ~ spl15_69 ),
    inference(superposition,[],[f636,f375]) ).

fof(f636,plain,
    ( e1 = op(e1,e0)
    | ~ spl15_69 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f1117,plain,
    ( ~ spl15_45
    | ~ spl15_81 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1116,plain,
    ( $false
    | ~ spl15_45
    | ~ spl15_81 ),
    inference(subsumption_resolution,[],[f1115,f283]) ).

fof(f1115,plain,
    ( e0 = e1
    | ~ spl15_45
    | ~ spl15_81 ),
    inference(forward_demodulation,[],[f521,f699]) ).

fof(f1114,plain,
    ( ~ spl15_17
    | ~ spl15_95 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | ~ spl15_17
    | ~ spl15_95 ),
    inference(subsumption_resolution,[],[f1112,f280]) ).

fof(f1112,plain,
    ( e0 = e3
    | ~ spl15_17
    | ~ spl15_95 ),
    inference(forward_demodulation,[],[f792,f397]) ).

fof(f397,plain,
    ( e0 = op(e0,e1)
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl15_17
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f1110,plain,
    ( ~ spl15_64
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1109,plain,
    ( $false
    | ~ spl15_64
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f1105,f280]) ).

fof(f1105,plain,
    ( e0 = e3
    | ~ spl15_64
    | ~ spl15_65 ),
    inference(superposition,[],[f611,f615]) ).

fof(f1098,plain,
    ( ~ spl15_35
    | ~ spl15_58 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1097,plain,
    ( $false
    | ~ spl15_35
    | ~ spl15_58 ),
    inference(subsumption_resolution,[],[f1093,f284]) ).

fof(f1093,plain,
    ( e1 = e2
    | ~ spl15_35
    | ~ spl15_58 ),
    inference(superposition,[],[f583,f478]) ).

fof(f1085,plain,
    ( ~ spl15_14
    | ~ spl15_44 ),
    inference(avatar_contradiction_clause,[],[f1084]) ).

fof(f1084,plain,
    ( $false
    | ~ spl15_14
    | ~ spl15_44 ),
    inference(subsumption_resolution,[],[f1081,f281]) ).

fof(f1081,plain,
    ( e2 = e3
    | ~ spl15_14
    | ~ spl15_44 ),
    inference(superposition,[],[f383,f517]) ).

fof(f1077,plain,
    ( ~ spl15_5
    | ~ spl15_32 ),
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1076,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f1070,f285]) ).

fof(f1070,plain,
    ( e1 = e3
    | ~ spl15_5
    | ~ spl15_32 ),
    inference(superposition,[],[f464,f345]) ).

fof(f345,plain,
    ( e3 = op(e2,e3)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f343,plain,
    ( spl15_5
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f1061,plain,
    ( ~ spl15_21
    | ~ spl15_48 ),
    inference(avatar_contradiction_clause,[],[f1060]) ).

fof(f1060,plain,
    ( $false
    | ~ spl15_21
    | ~ spl15_48 ),
    inference(subsumption_resolution,[],[f1059,f285]) ).

fof(f1059,plain,
    ( e1 = e3
    | ~ spl15_21
    | ~ spl15_48 ),
    inference(forward_demodulation,[],[f416,f537]) ).

fof(f1052,plain,
    ( ~ spl15_22
    | ~ spl15_70 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1051,plain,
    ( $false
    | ~ spl15_22
    | ~ spl15_70 ),
    inference(subsumption_resolution,[],[f1050,f283]) ).

fof(f1050,plain,
    ( e0 = e1
    | ~ spl15_22
    | ~ spl15_70 ),
    inference(forward_demodulation,[],[f420,f639]) ).

fof(f639,plain,
    ( e0 = op(e1,e1)
    | ~ spl15_70 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f638,plain,
    ( spl15_70
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).

fof(f1047,plain,
    ( ~ spl15_21
    | ~ spl15_29 ),
    inference(avatar_contradiction_clause,[],[f1046]) ).

fof(f1046,plain,
    ( $false
    | ~ spl15_21
    | ~ spl15_29 ),
    inference(subsumption_resolution,[],[f1042,f280]) ).

fof(f1042,plain,
    ( e0 = e3
    | ~ spl15_21
    | ~ spl15_29 ),
    inference(superposition,[],[f416,f450]) ).

fof(f1039,plain,
    ( ~ spl15_5
    | ~ spl15_31 ),
    inference(avatar_contradiction_clause,[],[f1038]) ).

fof(f1038,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_31 ),
    inference(subsumption_resolution,[],[f1035,f280]) ).

fof(f1035,plain,
    ( e0 = e3
    | ~ spl15_5
    | ~ spl15_31 ),
    inference(superposition,[],[f345,f460]) ).

fof(f1026,plain,
    ( ~ spl15_2
    | ~ spl15_17 ),
    inference(avatar_contradiction_clause,[],[f1025]) ).

fof(f1025,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_17 ),
    inference(subsumption_resolution,[],[f1021,f283]) ).

fof(f1021,plain,
    ( e0 = e1
    | ~ spl15_2
    | ~ spl15_17 ),
    inference(superposition,[],[f397,f331]) ).

fof(f1019,plain,
    ( ~ spl15_11
    | ~ spl15_28 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1018,plain,
    ( $false
    | ~ spl15_11
    | ~ spl15_28 ),
    inference(subsumption_resolution,[],[f1017,f280]) ).

fof(f1017,plain,
    ( e0 = e3
    | ~ spl15_11
    | ~ spl15_28 ),
    inference(forward_demodulation,[],[f446,f371]) ).

fof(f1016,plain,
    ( ~ spl15_56
    | ~ spl15_69 ),
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1015,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_69 ),
    inference(subsumption_resolution,[],[f1014,f284]) ).

fof(f1014,plain,
    ( e1 = e2
    | ~ spl15_56
    | ~ spl15_69 ),
    inference(forward_demodulation,[],[f573,f636]) ).

fof(f573,plain,
    ( e2 = op(e1,e0)
    | ~ spl15_56 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f1013,plain,
    ( ~ spl15_55
    | ~ spl15_97 ),
    inference(avatar_contradiction_clause,[],[f1012]) ).

fof(f1012,plain,
    ( $false
    | ~ spl15_55
    | ~ spl15_97 ),
    inference(subsumption_resolution,[],[f1011,f281]) ).

fof(f1011,plain,
    ( e2 = e3
    | ~ spl15_55
    | ~ spl15_97 ),
    inference(forward_demodulation,[],[f808,f569]) ).

fof(f1009,plain,
    ( ~ spl15_50
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f1008]) ).

fof(f1008,plain,
    ( $false
    | ~ spl15_50
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f1007,f281]) ).

fof(f1007,plain,
    ( e2 = e3
    | ~ spl15_50
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f546,f646]) ).

fof(f1005,plain,
    ( ~ spl15_69
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1004,plain,
    ( $false
    | ~ spl15_69
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f1003,f285]) ).

fof(f1003,plain,
    ( e1 = e3
    | ~ spl15_69
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f831,f636]) ).

fof(f1002,plain,
    ( ~ spl15_19
    | ~ spl15_74 ),
    inference(avatar_contradiction_clause,[],[f1001]) ).

fof(f1001,plain,
    ( $false
    | ~ spl15_19
    | ~ spl15_74 ),
    inference(subsumption_resolution,[],[f1000,f282]) ).

fof(f1000,plain,
    ( e0 = e2
    | ~ spl15_19
    | ~ spl15_74 ),
    inference(forward_demodulation,[],[f664,f405]) ).

fof(f996,plain,
    ( ~ spl15_3
    | ~ spl15_65 ),
    inference(avatar_contradiction_clause,[],[f995]) ).

fof(f995,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_65 ),
    inference(subsumption_resolution,[],[f994,f285]) ).

fof(f994,plain,
    ( e1 = e3
    | ~ spl15_3
    | ~ spl15_65 ),
    inference(forward_demodulation,[],[f615,f336]) ).

fof(f993,plain,
    ( ~ spl15_56
    | ~ spl15_100 ),
    inference(avatar_contradiction_clause,[],[f992]) ).

fof(f992,plain,
    ( $false
    | ~ spl15_56
    | ~ spl15_100 ),
    inference(subsumption_resolution,[],[f991,f281]) ).

fof(f991,plain,
    ( e2 = e3
    | ~ spl15_56
    | ~ spl15_100 ),
    inference(forward_demodulation,[],[f831,f573]) ).

fof(f982,plain,
    ( ~ spl15_5
    | ~ spl15_25 ),
    inference(avatar_contradiction_clause,[],[f981]) ).

fof(f981,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_25 ),
    inference(subsumption_resolution,[],[f977,f281]) ).

fof(f977,plain,
    ( e2 = e3
    | ~ spl15_5
    | ~ spl15_25 ),
    inference(superposition,[],[f433,f345]) ).

fof(f972,plain,
    ( ~ spl15_59
    | ~ spl15_71 ),
    inference(avatar_contradiction_clause,[],[f971]) ).

fof(f971,plain,
    ( $false
    | ~ spl15_59
    | ~ spl15_71 ),
    inference(subsumption_resolution,[],[f970,f284]) ).

fof(f970,plain,
    ( e1 = e2
    | ~ spl15_59
    | ~ spl15_71 ),
    inference(forward_demodulation,[],[f646,f587]) ).

fof(f965,plain,
    ( ~ spl15_25
    | ~ spl15_31 ),
    inference(avatar_contradiction_clause,[],[f964]) ).

fof(f964,plain,
    ( $false
    | ~ spl15_25
    | ~ spl15_31 ),
    inference(subsumption_resolution,[],[f963,f282]) ).

fof(f963,plain,
    ( e0 = e2
    | ~ spl15_25
    | ~ spl15_31 ),
    inference(forward_demodulation,[],[f433,f460]) ).

fof(f956,plain,
    ( ~ spl15_17
    | ~ spl15_54 ),
    inference(avatar_contradiction_clause,[],[f955]) ).

fof(f955,plain,
    ( $false
    | ~ spl15_17
    | ~ spl15_54 ),
    inference(subsumption_resolution,[],[f954,f282]) ).

fof(f954,plain,
    ( e0 = e2
    | ~ spl15_17
    | ~ spl15_54 ),
    inference(forward_demodulation,[],[f564,f397]) ).

fof(f952,plain,
    ( ~ spl15_51
    | ~ spl15_72 ),
    inference(avatar_contradiction_clause,[],[f951]) ).

fof(f951,plain,
    ( $false
    | ~ spl15_51
    | ~ spl15_72 ),
    inference(subsumption_resolution,[],[f950,f283]) ).

fof(f950,plain,
    ( e0 = e1
    | ~ spl15_51
    | ~ spl15_72 ),
    inference(forward_demodulation,[],[f655,f551]) ).

fof(f948,plain,
    ( ~ spl15_45
    | ~ spl15_55 ),
    inference(avatar_contradiction_clause,[],[f947]) ).

fof(f947,plain,
    ( $false
    | ~ spl15_45
    | ~ spl15_55 ),
    inference(subsumption_resolution,[],[f946,f284]) ).

fof(f946,plain,
    ( e1 = e2
    | ~ spl15_45
    | ~ spl15_55 ),
    inference(forward_demodulation,[],[f569,f521]) ).

fof(f945,plain,
    ( ~ spl15_12
    | ~ spl15_56 ),
    inference(avatar_contradiction_clause,[],[f944]) ).

fof(f944,plain,
    ( $false
    | ~ spl15_12
    | ~ spl15_56 ),
    inference(subsumption_resolution,[],[f943,f282]) ).

fof(f943,plain,
    ( e0 = e2
    | ~ spl15_12
    | ~ spl15_56 ),
    inference(forward_demodulation,[],[f573,f375]) ).

fof(f942,plain,
    ( ~ spl15_2
    | ~ spl15_54 ),
    inference(avatar_contradiction_clause,[],[f941]) ).

fof(f941,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_54 ),
    inference(subsumption_resolution,[],[f940,f284]) ).

fof(f940,plain,
    ( e1 = e2
    | ~ spl15_2
    | ~ spl15_54 ),
    inference(forward_demodulation,[],[f564,f331]) ).

fof(f927,plain,
    ( ~ spl15_13
    | ~ spl15_59 ),
    inference(avatar_contradiction_clause,[],[f926]) ).

fof(f926,plain,
    ( $false
    | ~ spl15_13
    | ~ spl15_59 ),
    inference(subsumption_resolution,[],[f925,f283]) ).

fof(f925,plain,
    ( e0 = e1
    | ~ spl15_13
    | ~ spl15_59 ),
    inference(forward_demodulation,[],[f587,f379]) ).

fof(f924,plain,
    ( ~ spl15_9
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f923]) ).

fof(f923,plain,
    ( $false
    | ~ spl15_9
    | ~ spl15_26 ),
    inference(subsumption_resolution,[],[f922,f281]) ).

fof(f922,plain,
    ( e2 = e3
    | ~ spl15_9
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f361,f437]) ).

fof(f912,plain,
    ( ~ spl15_18
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f911]) ).

fof(f911,plain,
    ( $false
    | ~ spl15_18
    | ~ spl15_26 ),
    inference(subsumption_resolution,[],[f910,f284]) ).

fof(f910,plain,
    ( e1 = e2
    | ~ spl15_18
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f437,f400]) ).

fof(f909,plain,
    ( ~ spl15_9
    | ~ spl15_18 ),
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f908,plain,
    ( $false
    | ~ spl15_9
    | ~ spl15_18 ),
    inference(subsumption_resolution,[],[f907,f285]) ).

fof(f907,plain,
    ( e1 = e3
    | ~ spl15_9
    | ~ spl15_18 ),
    inference(forward_demodulation,[],[f361,f400]) ).

fof(f900,plain,
    ( spl15_50
    | spl15_28
    | spl15_100
    | spl15_9 ),
    inference(avatar_split_clause,[],[f245,f360,f829,f445,f544]) ).

fof(f245,plain,
    ( op(e0,e0) = e3
    | e3 = op(e1,e0)
    | e3 = op(e3,e0)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f898,plain,
    ( spl15_13
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f184,f386,f377]) ).

fof(f386,plain,
    ( spl15_15
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f184,plain,
    ( ~ sP6
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ( e0 = op(e2,e0)
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & ( e2 != op(e1,e1)
        | e1 != op(e1,e2) )
      & ( e3 != op(e3,e2)
        | e2 != op(e3,e3) ) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e0 = op(e2,e0)
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & ( e2 != op(e1,e1)
        | e1 != op(e1,e2) )
      & ( e3 != op(e3,e2)
        | e2 != op(e3,e3) ) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f897,plain,
    ( spl15_64
    | spl15_96
    | spl15_17
    | spl15_70 ),
    inference(avatar_split_clause,[],[f240,f638,f395,f800,f609]) ).

fof(f240,plain,
    ( e0 = op(e1,e1)
    | e0 = op(e0,e1)
    | e0 = op(e2,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f896,plain,
    ( spl15_55
    | spl15_16
    | spl15_25
    | spl15_74 ),
    inference(avatar_split_clause,[],[f260,f662,f431,f390,f567]) ).

fof(f260,plain,
    ( e2 = op(e0,e3)
    | e2 = op(e2,e3)
    | e2 = op(e3,e3)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f895,plain,
    ( ~ spl15_38
    | spl15_22 ),
    inference(avatar_split_clause,[],[f161,f418,f490]) ).

fof(f490,plain,
    ( spl15_38
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).

fof(f161,plain,
    ( e1 = op(e1,e1)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( ( e1 != op(e3,e3)
        | e3 != op(e3,e1) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( op(e0,e0) != e1
        | e0 != op(e0,e1) )
      & e1 = op(e1,e1)
      & ( e1 != op(e2,e2)
        | e2 != op(e2,e1) ) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ( ( e1 != op(e3,e3)
        | e3 != op(e3,e1) )
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( op(e0,e0) != e1
        | e0 != op(e0,e1) )
      & e1 = op(e1,e1)
      & ( e1 != op(e2,e2)
        | e2 != op(e2,e1) ) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f894,plain,
    ( ~ spl15_46
    | spl15_45 ),
    inference(avatar_split_clause,[],[f226,f520,f524]) ).

fof(f226,plain,
    ( e1 = op(e1,e3)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ( op(e0,e0) != e3
      | e0 = op(e0,e3) )
    & ( e3 = op(e3,e1)
      | e1 != op(e3,e3) )
    & ( e0 != op(e3,e3)
      | e3 = op(e3,e0) )
    & ( e1 = op(e1,e1)
      | e3 = op(e3,e3)
      | e0 = op(e0,e0)
      | e2 = op(e2,e2) )
    & ( e1 = op(e1,e0)
      | e0 != op(e1,e1) )
    & ( op(e0,e0) != e2
      | e0 = op(e0,e2) )
    & ( e1 != op(e2,e2)
      | e2 = op(e2,e1) )
    & ( e2 != op(e2,e2)
      | e2 = op(e2,e2) )
    & ( e0 = op(e0,e0)
      | e0 != op(e0,e0) )
    & ( e1 = op(e1,e2)
      | e2 != op(e1,e1) )
    & ( e1 = op(e1,e3)
      | e3 != op(e1,e1) )
    & ( e2 = op(e2,e3)
      | e3 != op(e2,e2) )
    & ( op(e0,e0) != e1
      | e0 = op(e0,e1) )
    & ( ( ( e2 != op(e3,e3)
          | e3 != op(e3,e2) )
        & ( op(e0,e0) != e2
          | e0 != op(e0,e2) )
        & ( e1 != op(e1,e2)
          | e2 != op(e1,e1) )
        & e1 = op(e2,e1)
        & ( e2 != op(e2,e2)
          | e2 != op(e2,e2) ) )
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( e1 = op(e1,e1)
      | e1 != op(e1,e1) )
    & ( e3 != op(e3,e3)
      | e3 = op(e3,e3) )
    & ( e2 != op(e3,e3)
      | e3 = op(e3,e2) )
    & ( e0 != op(e2,e2)
      | e2 = op(e2,e0) ) ),
    inference(definition_folding,[],[f5,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).

fof(f54,plain,
    ( ( ( op(e0,e0) != e2
        | e0 != op(e0,e2) )
      & e3 = op(e2,e3)
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e2 != op(e3,e3)
        | e3 != op(e3,e2) ) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f55,plain,
    ( ( ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( op(e0,e0) != e1
        | e0 != op(e0,e1) )
      & ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & e2 = op(e1,e2)
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) ) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f56,plain,
    ( ( ( e3 != op(e2,e2)
        | e2 != op(e2,e3) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( op(e0,e0) != e3
        | e0 != op(e0,e3) )
      & ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & e3 = op(e3,e3) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f57,plain,
    ( ( ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e3,e3)
        | e3 != op(e3,e0) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e3 = op(e0,e3)
      & ( e0 != op(e2,e2)
        | e2 != op(e2,e0) ) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f58,plain,
    ( ( e1 = op(e3,e1)
      & ( e3 != op(e2,e2)
        | e2 != op(e2,e3) )
      & ( op(e0,e0) != e3
        | e0 != op(e0,e3) )
      & ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e3 != op(e1,e1)
        | e1 != op(e1,e3) ) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f59,plain,
    ( ( ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & ( e2 != op(e1,e1)
        | e1 != op(e1,e2) )
      & e2 = op(e2,e2)
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e2 != op(e3,e3)
        | e3 != op(e3,e2) ) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f61,plain,
    ( ( ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & e0 = op(e0,e0)
      & ( e0 != op(e3,e3)
        | e3 != op(e3,e0) )
      & ( e0 != op(e2,e2)
        | e2 != op(e2,e0) ) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f62,plain,
    ( ( e1 = op(e0,e1)
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e2,e2)
        | e2 != op(e2,e0) )
      & ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) ) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f63,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e3 != op(e1,e1)
        | e1 != op(e1,e3) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & e0 = op(e3,e0) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f65,plain,
    ( ( ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & e3 = op(e1,e3)
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e1 != op(e3,e3)
        | e3 != op(e3,e1) )
      & ( op(e0,e0) != e1
        | e0 != op(e0,e1) ) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f66,plain,
    ( ( ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e0 = op(e1,e0)
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e1 != op(e2,e2)
        | e2 != op(e2,e1) )
      & ( e1 != op(e3,e3)
        | e3 != op(e3,e1) ) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f67,plain,
    ( ( ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e3 != op(e1,e1)
        | e1 != op(e1,e3) )
      & e2 = op(e3,e2)
      & ( op(e0,e0) != e3
        | e0 != op(e0,e3) )
      & ( e3 != op(e3,e3)
        | e3 != op(e3,e3) ) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f68,plain,
    ( ( e2 = op(e0,e2)
      & ( e0 != op(e1,e1)
        | e1 != op(e1,e0) )
      & ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & ( e0 != op(e2,e2)
        | e2 != op(e2,e0) ) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

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

fof(f893,plain,
    ( ~ spl15_22
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f308,f485,f418]) ).

fof(f485,plain,
    ( spl15_37
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).

fof(f308,plain,
    ( ~ sP12
    | e1 != op(e1,e1) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ( e1 != op(e1,e1)
    | ~ sP12
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ( ( e0 != op(e0,e1)
        | op(e0,e0) != e1 )
      & e0 = op(e1,e0)
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e1 != op(e2,e2)
        | e2 != op(e2,e1) )
      & ( e1 != op(e3,e3)
        | e3 != op(e3,e1) ) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f66]) ).

fof(f892,plain,
    ( spl15_71
    | spl15_35
    | spl15_25
    | spl15_23 ),
    inference(avatar_split_clause,[],[f244,f422,f431,f477,f645]) ).

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

fof(f891,plain,
    ( ~ spl15_45
    | ~ spl15_40
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f148,f524,f498,f520]) ).

fof(f498,plain,
    ( spl15_40
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).

fof(f148,plain,
    ( e3 != op(e1,e1)
    | ~ sP13
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ( ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e3 != op(e1,e1)
        | e1 != op(e1,e3) )
      & e2 = op(e3,e2)
      & ( op(e0,e0) != e3
        | e0 != op(e0,e3) )
      & ( e3 != op(e3,e3)
        | e3 != op(e3,e3) ) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f67]) ).

fof(f888,plain,
    ( ~ spl15_40
    | ~ spl15_9
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f146,f404,f360,f498]) ).

fof(f146,plain,
    ( e0 != op(e0,e3)
    | op(e0,e0) != e3
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f887,plain,
    ( ~ spl15_6
    | ~ spl15_14
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f210,f390,f382,f347]) ).

fof(f347,plain,
    ( spl15_6
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f210,plain,
    ( e2 != op(e3,e3)
    | e3 != op(e3,e2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ( ( op(e0,e0) != e2
        | e0 != op(e0,e2) )
      & e3 = op(e2,e3)
      & ( e1 != op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e2 != op(e3,e3)
        | e3 != op(e3,e2) ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f886,plain,
    ( ~ spl15_25
    | ~ spl15_24
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f166,f510,f427,f431]) ).

fof(f510,plain,
    ( spl15_43
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).

fof(f166,plain,
    ( ~ sP9
    | e3 != op(e2,e2)
    | e2 != op(e2,e3) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ( ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e3 != op(e1,e1)
        | e1 != op(e1,e3) )
      & ( e0 != op(e0,e3)
        | op(e0,e0) != e3 )
      & ( e2 != op(e2,e3)
        | e3 != op(e2,e2) )
      & e0 = op(e3,e0) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f885,plain,
    ( spl15_28
    | spl15_21
    | spl15_14
    | spl15_65 ),
    inference(avatar_split_clause,[],[f242,f613,f382,f414,f445]) ).

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

fof(f884,plain,
    ( ~ spl15_94
    | ~ spl15_67
    | ~ spl15_60 ),
    inference(avatar_split_clause,[],[f275,f590,f622,f781]) ).

fof(f275,plain,
    ( e3 != op(op(op(e2,e2),e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f10]) ).

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

fof(f883,plain,
    ( spl15_72
    | spl15_86
    | spl15_36
    | spl15_98 ),
    inference(avatar_split_clause,[],[f253,f811,f481,f720,f653]) ).

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

fof(f881,plain,
    ( spl15_90
    | spl15_21
    | spl15_5
    | spl15_97 ),
    inference(avatar_split_clause,[],[f249,f806,f343,f414,f747]) ).

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

fof(f880,plain,
    ( ~ spl15_4
    | ~ spl15_24
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f193,f431,f427,f338]) ).

fof(f338,plain,
    ( spl15_4
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f193,plain,
    ( e2 != op(e2,e3)
    | e3 != op(e2,e2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( e1 = op(e3,e1)
      & ( e3 != op(e2,e2)
        | e2 != op(e2,e3) )
      & ( op(e0,e0) != e3
        | e0 != op(e0,e3) )
      & ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e3 != op(e1,e1)
        | e1 != op(e1,e3) ) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f58]) ).

fof(f879,plain,
    ( spl15_56
    | spl15_71
    | spl15_26
    | spl15_82 ),
    inference(avatar_split_clause,[],[f265,f702,f436,f645,f571]) ).

fof(f265,plain,
    ( e2 = op(e3,e0)
    | op(e0,e0) = e2
    | e2 = op(e2,e0)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f878,plain,
    ( ~ spl15_40
    | ~ spl15_25
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f149,f427,f431,f498]) ).

fof(f149,plain,
    ( e3 != op(e2,e2)
    | e2 != op(e2,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f876,plain,
    ( ~ spl15_37
    | spl15_12 ),
    inference(avatar_split_clause,[],[f153,f373,f485]) ).

fof(f153,plain,
    ( e0 = op(e1,e0)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f875,plain,
    ( ~ spl15_42
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f309,f418,f506]) ).

fof(f506,plain,
    ( spl15_42
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).

fof(f309,plain,
    ( e1 != op(e1,e1)
    | ~ sP11 ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ( e1 != op(e1,e1)
    | ~ sP11
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ( ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & e3 = op(e1,e3)
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e1 != op(e3,e3)
        | e3 != op(e3,e1) )
      & ( op(e0,e0) != e1
        | e0 != op(e0,e1) ) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f65]) ).

fof(f874,plain,
    ( spl15_53
    | spl15_82
    | spl15_16
    | spl15_44 ),
    inference(avatar_split_clause,[],[f264,f515,f390,f702,f558]) ).

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

fof(f873,plain,
    ( ~ spl15_6
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f310,f422,f347]) ).

fof(f310,plain,
    ( e2 != op(e2,e2)
    | ~ sP0 ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f211,plain,
    ( e2 != op(e2,e2)
    | ~ sP0
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f872,plain,
    ( spl15_67
    | spl15_13
    | spl15_96
    | spl15_31 ),
    inference(avatar_split_clause,[],[f256,f458,f800,f377,f622]) ).

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

fof(f870,plain,
    ( ~ spl15_37
    | ~ spl15_65
    | ~ spl15_48 ),
    inference(avatar_split_clause,[],[f150,f535,f613,f485]) ).

fof(f150,plain,
    ( e1 != op(e3,e3)
    | e3 != op(e3,e1)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f869,plain,
    ( spl15_46
    | spl15_49
    | spl15_95
    | spl15_65 ),
    inference(avatar_split_clause,[],[f255,f613,f790,f540,f524]) ).

fof(f255,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e0,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f868,plain,
    ( spl15_86
    | ~ spl15_52 ),
    inference(avatar_split_clause,[],[f227,f554,f720]) ).

fof(f227,plain,
    ( e2 != op(e1,e1)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f867,plain,
    ( spl15_43
    | spl15_1
    | spl15_30
    | spl15_34
    | spl15_58
    | spl15_41
    | spl15_39
    | spl15_37
    | spl15_33
    | spl15_4
    | spl15_15
    | spl15_40
    | spl15_38
    | spl15_42
    | spl15_20
    | spl15_6 ),
    inference(avatar_split_clause,[],[f220,f347,f409,f506,f490,f498,f386,f338,f467,f485,f494,f502,f581,f472,f453,f325,f510]) ).

fof(f325,plain,
    ( spl15_1
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f453,plain,
    ( spl15_30
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

fof(f472,plain,
    ( spl15_34
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

fof(f502,plain,
    ( spl15_41
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).

fof(f494,plain,
    ( spl15_39
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).

fof(f467,plain,
    ( spl15_33
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).

fof(f409,plain,
    ( spl15_20
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

fof(f220,plain,
    ( sP0
    | sP14
    | sP11
    | sP10
    | sP13
    | sP6
    | sP4
    | sP5
    | sP12
    | sP1
    | sP2
    | e1 = op(e2,e1)
    | sP3
    | sP7
    | sP8
    | sP9 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f865,plain,
    ( ~ spl15_26
    | ~ spl15_51
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f214,f347,f549,f436]) ).

fof(f214,plain,
    ( ~ sP0
    | e0 != op(e0,e2)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f864,plain,
    ( spl15_32
    | spl15_73
    | spl15_45
    | spl15_48 ),
    inference(avatar_split_clause,[],[f237,f535,f520,f657,f462]) ).

fof(f237,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f863,plain,
    ( ~ spl15_42
    | spl15_97 ),
    inference(avatar_split_clause,[],[f158,f806,f506]) ).

fof(f158,plain,
    ( e3 = op(e1,e3)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f862,plain,
    ( ~ spl15_103
    | ~ spl15_101
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f289,f449,f838,f852]) ).

fof(f289,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( e2 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f6]) ).

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

fof(f860,plain,
    ( spl15_85
    | spl15_97
    | spl15_100
    | spl15_46 ),
    inference(avatar_split_clause,[],[f243,f524,f829,f806,f716]) ).

fof(f243,plain,
    ( e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | e3 = op(e1,e3)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f859,plain,
    ( spl15_3
    | spl15_22
    | spl15_58
    | spl15_2 ),
    inference(avatar_split_clause,[],[f252,f329,f581,f418,f334]) ).

fof(f252,plain,
    ( e1 = op(e0,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f858,plain,
    ( spl15_21
    | ~ spl15_41 ),
    inference(avatar_split_clause,[],[f200,f502,f414]) ).

fof(f200,plain,
    ( ~ sP2
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ( ( e3 != op(e2,e2)
        | e2 != op(e2,e3) )
      & ( e1 != op(e1,e3)
        | e3 != op(e1,e1) )
      & ( op(e0,e0) != e3
        | e0 != op(e0,e3) )
      & ( e3 != op(e3,e3)
        | e3 != op(e3,e3) )
      & e3 = op(e3,e3) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f856,plain,
    ( ~ spl15_36
    | ~ spl15_39
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f209,f477,f494,f481]) ).

fof(f209,plain,
    ( e2 != op(e2,e1)
    | ~ sP1
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ( ( e2 != op(e2,e1)
        | e1 != op(e2,e2) )
      & ( op(e0,e0) != e1
        | e0 != op(e0,e1) )
      & ( e3 != op(e3,e1)
        | e1 != op(e3,e3) )
      & e2 = op(e1,e2)
      & ( e1 != op(e1,e1)
        | e1 != op(e1,e1) ) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f855,plain,
    ( ~ spl15_78
    | ~ spl15_48
    | ~ spl15_103 ),
    inference(avatar_split_clause,[],[f286,f852,f535,f683]) ).

fof(f286,plain,
    ( e2 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( e2 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3)
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( e2 = op(op(e3,e3),e3)
      & e1 = op(e3,e3)
      & e0 = op(op(op(e3,e3),e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f850,plain,
    ( ~ spl15_51
    | ~ spl15_26
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f182,f386,f436,f549]) ).

fof(f182,plain,
    ( ~ sP6
    | op(e0,e0) != e2
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f849,plain,
    ( ~ spl15_63
    | ~ spl15_52
    | ~ spl15_76 ),
    inference(avatar_split_clause,[],[f135,f671,f554,f604]) ).

fof(f135,plain,
    ( e3 != op(op(op(e1,e1),e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( e0 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e3 != op(op(op(e1,e1),e1),e1) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e2 = op(e1,e1)
      & e3 = op(op(op(e1,e1),e1),e1)
      & e0 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f848,plain,
    ( spl15_71
    | ~ spl15_67 ),
    inference(avatar_split_clause,[],[f215,f622,f645]) ).

fof(f215,plain,
    ( e0 != op(e2,e2)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f845,plain,
    ( ~ spl15_16
    | ~ spl15_101
    | ~ spl15_102 ),
    inference(avatar_split_clause,[],[f137,f842,f838,f390]) ).

fof(f137,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( e2 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e1 = op(op(op(e3,e3),e3),e3)
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f836,plain,
    ( ~ spl15_36
    | ~ spl15_38
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f160,f477,f490,f481]) ).

fof(f160,plain,
    ( e2 != op(e2,e1)
    | ~ sP10
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f835,plain,
    ( ~ spl15_43
    | ~ spl15_45
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f168,f524,f520,f510]) ).

fof(f168,plain,
    ( e3 != op(e1,e1)
    | e1 != op(e1,e3)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f834,plain,
    ( spl15_12
    | spl15_70
    | spl15_81
    | spl15_84 ),
    inference(avatar_split_clause,[],[f259,f712,f697,f638,f373]) ).

fof(f259,plain,
    ( e0 = op(e1,e2)
    | e0 = op(e1,e3)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f826,plain,
    ( spl15_22
    | spl15_45
    | spl15_86
    | spl15_69 ),
    inference(avatar_split_clause,[],[f248,f634,f720,f520,f418]) ).

fof(f248,plain,
    ( e1 = op(e1,e0)
    | e1 = op(e1,e2)
    | e1 = op(e1,e3)
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f820,plain,
    ( spl15_9
    | spl15_95
    | spl15_90
    | spl15_88 ),
    inference(avatar_split_clause,[],[f254,f733,f747,f790,f360]) ).

fof(f254,plain,
    ( e3 = op(e0,e2)
    | e3 = op(e0,e3)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f819,plain,
    ( spl15_28
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f234,f449,f445]) ).

fof(f234,plain,
    ( e0 != op(e3,e3)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f818,plain,
    ( spl15_84
    | spl15_51
    | spl15_87
    | spl15_67 ),
    inference(avatar_split_clause,[],[f262,f622,f726,f549,f712]) ).

fof(f262,plain,
    ( e0 = op(e2,e2)
    | e0 = op(e3,e2)
    | e0 = op(e0,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f816,plain,
    ( spl15_39
    | spl15_15
    | spl15_42
    | spl15_38
    | spl15_4
    | spl15_40
    | spl15_6
    | spl15_33
    | spl15_41
    | spl15_37
    | ~ spl15_26
    | ~ spl15_51
    | spl15_1
    | spl15_20
    | spl15_34
    | spl15_43
    | spl15_30 ),
    inference(avatar_split_clause,[],[f222,f453,f510,f472,f409,f325,f549,f436,f485,f502,f467,f347,f498,f338,f490,f506,f386,f494]) ).

fof(f222,plain,
    ( sP7
    | sP9
    | sP3
    | sP14
    | sP8
    | e0 != op(e0,e2)
    | op(e0,e0) != e2
    | sP12
    | sP2
    | sP5
    | sP0
    | sP13
    | sP4
    | sP10
    | sP11
    | sP6
    | sP1 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f815,plain,
    ( ~ spl15_21
    | ~ spl15_43 ),
    inference(avatar_split_clause,[],[f311,f510,f414]) ).

fof(f311,plain,
    ( ~ sP9
    | e3 != op(e3,e3) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ( e3 != op(e3,e3)
    | ~ sP9
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f814,plain,
    ( spl15_3
    | spl15_83
    | spl15_98
    | spl15_48 ),
    inference(avatar_split_clause,[],[f266,f535,f811,f706,f334]) ).

fof(f266,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e0)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f798,plain,
    ( ~ spl15_29
    | ~ spl15_20
    | ~ spl15_28 ),
    inference(avatar_split_clause,[],[f142,f445,f409,f449]) ).

fof(f142,plain,
    ( e3 != op(e3,e0)
    | ~ sP14
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ( e2 = op(e0,e2)
      & ( e0 != op(e1,e1)
        | e1 != op(e1,e0) )
      & ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & ( e0 != op(e2,e2)
        | e2 != op(e2,e0) ) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f68]) ).

fof(f797,plain,
    ( ~ spl15_4
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f312,f414,f338]) ).

fof(f312,plain,
    ( e3 != op(e3,e3)
    | ~ sP4 ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ( ~ sP4
    | e3 != op(e3,e3)
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f796,plain,
    ( spl15_47
    | spl15_44
    | spl15_23
    | spl15_75 ),
    inference(avatar_split_clause,[],[f258,f666,f422,f515,f530]) ).

fof(f258,plain,
    ( e2 = op(e0,e2)
    | e2 = op(e2,e2)
    | e2 = op(e3,e2)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f794,plain,
    ( ~ spl15_30
    | spl15_10 ),
    inference(avatar_split_clause,[],[f177,f365,f453]) ).

fof(f177,plain,
    ( e0 = op(e0,e0)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ( ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & e0 = op(e0,e0)
      & ( e0 != op(e3,e3)
        | e3 != op(e3,e0) )
      & ( e0 != op(e2,e2)
        | e2 != op(e2,e0) ) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f787,plain,
    ( ~ spl15_40
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f313,f414,f498]) ).

fof(f313,plain,
    ( e3 != op(e3,e3)
    | ~ sP13 ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ( e3 != op(e3,e3)
    | e3 != op(e3,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f786,plain,
    ( spl15_9
    | spl15_26
    | spl15_10
    | spl15_18 ),
    inference(avatar_split_clause,[],[f306,f399,f365,f436,f360]) ).

fof(f306,plain,
    ( op(e0,e0) = e1
    | e0 = op(e0,e0)
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f785,plain,
    ( ~ spl15_34
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f314,f365,f472]) ).

fof(f314,plain,
    ( e0 != op(e0,e0)
    | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ( e0 != op(e0,e0)
    | e0 != op(e0,e0)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ( ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e3,e3)
        | e3 != op(e3,e0) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) )
      & e3 = op(e0,e3)
      & ( e0 != op(e2,e2)
        | e2 != op(e2,e0) ) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f784,plain,
    ( ~ spl15_93
    | ~ spl15_94
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f290,f427,f781,f772]) ).

fof(f290,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e0 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f24]) ).

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

fof(f779,plain,
    ( spl15_59
    | spl15_69
    | spl15_18
    | spl15_83 ),
    inference(avatar_split_clause,[],[f250,f706,f399,f634,f585]) ).

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

fof(f777,plain,
    ( ~ spl15_1
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f315,f365,f325]) ).

fof(f315,plain,
    ( e0 != op(e0,e0)
    | ~ sP8 ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ( ~ sP8
    | e0 != op(e0,e0)
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( e1 = op(e0,e1)
      & ( e1 != op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 != op(e2,e2)
        | e2 != op(e2,e0) )
      & ( e3 != op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e0 != op(e0,e0)
        | e0 != op(e0,e0) ) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f776,plain,
    ( ~ spl15_15
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f316,f422,f386]) ).

fof(f316,plain,
    ( e2 != op(e2,e2)
    | ~ sP6 ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ( ~ sP6
    | e2 != op(e2,e2)
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f769,plain,
    ( ~ spl15_79
    | ~ spl15_92
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f278,f449,f766,f687]) ).

fof(f278,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),e3),e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( e2 != op(op(op(e3,e3),e3),e3)
    | e0 != op(e3,e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f8]) ).

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

fof(f759,plain,
    ( ~ spl15_43
    | ~ spl15_9
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f167,f404,f360,f510]) ).

fof(f167,plain,
    ( e0 != op(e0,e3)
    | op(e0,e0) != e3
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f758,plain,
    ( ~ spl15_48
    | spl15_65 ),
    inference(avatar_split_clause,[],[f235,f613,f535]) ).

fof(f235,plain,
    ( e3 = op(e3,e1)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f757,plain,
    ( ~ spl15_9
    | ~ spl15_89
    | ~ spl15_80 ),
    inference(avatar_split_clause,[],[f136,f692,f738,f360]) ).

fof(f136,plain,
    ( e1 != op(op(e0,e0),e0)
    | e2 != op(op(op(e0,e0),e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( e2 != op(op(op(e0,e0),e0),e0)
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ~ ( e2 = op(op(op(e0,e0),e0),e0)
      & op(e0,e0) = e3
      & e1 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f755,plain,
    ( spl15_35
    | ~ spl15_36 ),
    inference(avatar_split_clause,[],[f230,f481,f477]) ).

fof(f230,plain,
    ( e1 != op(e2,e2)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f753,plain,
    ( ~ spl15_41
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f317,f414,f502]) ).

fof(f317,plain,
    ( e3 != op(e3,e3)
    | ~ sP2 ),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f201,plain,
    ( ~ sP2
    | e3 != op(e3,e3)
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f752,plain,
    ( ~ spl15_43
    | spl15_11 ),
    inference(avatar_split_clause,[],[f165,f369,f510]) ).

fof(f165,plain,
    ( e0 = op(e3,e0)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f751,plain,
    ( ~ spl15_33
    | ~ spl15_16
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f185,f382,f390,f467]) ).

fof(f185,plain,
    ( e3 != op(e3,e2)
    | e2 != op(e3,e3)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ( ( e0 != op(e0,e2)
        | op(e0,e0) != e2 )
      & ( e2 != op(e1,e1)
        | e1 != op(e1,e2) )
      & e2 = op(e2,e2)
      & ( e2 != op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e2 != op(e3,e3)
        | e3 != op(e3,e2) ) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f750,plain,
    ( ~ spl15_34
    | spl15_90 ),
    inference(avatar_split_clause,[],[f196,f747,f472]) ).

fof(f196,plain,
    ( e3 = op(e0,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f745,plain,
    ( ~ spl15_36
    | ~ spl15_35
    | ~ spl15_42 ),
    inference(avatar_split_clause,[],[f159,f506,f477,f481]) ).

fof(f159,plain,
    ( ~ sP11
    | e2 != op(e2,e1)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f742,plain,
    ( ~ spl15_65
    | ~ spl15_48
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f164,f490,f535,f613]) ).

fof(f164,plain,
    ( ~ sP10
    | e1 != op(e3,e3)
    | e3 != op(e3,e1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f741,plain,
    ( ~ spl15_27
    | ~ spl15_89
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f138,f399,f738,f440]) ).

fof(f138,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(op(e0,e0),e0),e0)
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( e3 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e2 != op(op(op(e0,e0),e0),e0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( op(e0,e0) = e1
      & e2 = op(op(op(e0,e0),e0),e0)
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f736,plain,
    ( spl15_24
    | spl15_14
    | spl15_85
    | spl15_88 ),
    inference(avatar_split_clause,[],[f257,f733,f716,f382,f427]) ).

fof(f257,plain,
    ( e3 = op(e0,e2)
    | e3 = op(e1,e2)
    | e3 = op(e3,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f731,plain,
    ( ~ spl15_69
    | ~ spl15_1
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f173,f638,f325,f634]) ).

fof(f173,plain,
    ( e0 != op(e1,e1)
    | ~ sP8
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f730,plain,
    ( spl15_23
    | spl15_24
    | spl15_36
    | spl15_67 ),
    inference(avatar_split_clause,[],[f300,f622,f481,f427,f422]) ).

fof(f300,plain,
    ( e0 = op(e2,e2)
    | e1 = op(e2,e2)
    | e3 = op(e2,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f729,plain,
    ( spl15_87
    | spl15_64
    | spl15_29
    | spl15_11 ),
    inference(avatar_split_clause,[],[f267,f369,f449,f609,f726]) ).

fof(f267,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e3,e3)
    | e0 = op(e3,e1)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f724,plain,
    ( ~ spl15_20
    | spl15_75 ),
    inference(avatar_split_clause,[],[f144,f666,f409]) ).

fof(f144,plain,
    ( e2 = op(e0,e2)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f710,plain,
    ( spl15_46
    | spl15_52
    | spl15_70
    | spl15_22 ),
    inference(avatar_split_clause,[],[f301,f418,f638,f554,f524]) ).

fof(f301,plain,
    ( e1 = op(e1,e1)
    | e0 = op(e1,e1)
    | e2 = op(e1,e1)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f700,plain,
    ( spl15_29
    | spl15_31
    | spl15_81
    | spl15_19 ),
    inference(avatar_split_clause,[],[f268,f404,f697,f458,f449]) ).

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

fof(f690,plain,
    ( ~ spl15_78
    | ~ spl15_16
    | ~ spl15_79 ),
    inference(avatar_split_clause,[],[f272,f687,f390,f683]) ).

fof(f272,plain,
    ( e1 != op(op(e3,e3),e3)
    | e2 != op(e3,e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(op(e3,e3),e3),e3) ),
    inference(ennf_transformation,[],[f18]) ).

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

fof(f681,plain,
    ( spl15_19
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f236,f360,f404]) ).

fof(f236,plain,
    ( op(e0,e0) != e3
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f680,plain,
    ( ~ spl15_48
    | ~ spl15_65
    | ~ spl15_42 ),
    inference(avatar_split_clause,[],[f156,f506,f613,f535]) ).

fof(f156,plain,
    ( ~ sP11
    | e3 != op(e3,e1)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f679,plain,
    ( ~ spl15_39
    | ~ spl15_48
    | ~ spl15_65 ),
    inference(avatar_split_clause,[],[f207,f613,f535,f494]) ).

fof(f207,plain,
    ( e3 != op(e3,e1)
    | e1 != op(e3,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f669,plain,
    ( spl15_26
    | spl15_74
    | spl15_75
    | spl15_54 ),
    inference(avatar_split_clause,[],[f261,f562,f666,f662,f436]) ).

fof(f261,plain,
    ( e2 = op(e0,e1)
    | e2 = op(e0,e2)
    | e2 = op(e0,e3)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f660,plain,
    ( spl15_18
    | spl15_2
    | spl15_72
    | spl15_73 ),
    inference(avatar_split_clause,[],[f241,f657,f653,f329,f399]) ).

fof(f241,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f651,plain,
    ( ~ spl15_22
    | ~ spl15_39 ),
    inference(avatar_split_clause,[],[f318,f494,f418]) ).

fof(f318,plain,
    ( ~ sP1
    | e1 != op(e1,e1) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ( ~ sP1
    | e1 != op(e1,e1)
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f650,plain,
    ( ~ spl15_70
    | ~ spl15_20
    | ~ spl15_69 ),
    inference(avatar_split_clause,[],[f143,f634,f409,f638]) ).

fof(f143,plain,
    ( e1 != op(e1,e0)
    | ~ sP14
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f649,plain,
    ( ~ spl15_30
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f319,f365,f453]) ).

fof(f319,plain,
    ( e0 != op(e0,e0)
    | ~ sP7 ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ( ~ sP7
    | e0 != op(e0,e0)
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f648,plain,
    ( ~ spl15_67
    | ~ spl15_20
    | ~ spl15_71 ),
    inference(avatar_split_clause,[],[f140,f645,f409,f622]) ).

fof(f140,plain,
    ( e2 != op(e2,e0)
    | ~ sP14
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f643,plain,
    ( ~ spl15_33
    | spl15_23 ),
    inference(avatar_split_clause,[],[f187,f422,f467]) ).

fof(f187,plain,
    ( e2 = op(e2,e2)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f642,plain,
    ( ~ spl15_26
    | ~ spl15_33
    | ~ spl15_51 ),
    inference(avatar_split_clause,[],[f189,f549,f467,f436]) ).

fof(f189,plain,
    ( e0 != op(e0,e2)
    | ~ sP5
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f641,plain,
    ( spl15_69
    | ~ spl15_70 ),
    inference(avatar_split_clause,[],[f232,f638,f634]) ).

fof(f232,plain,
    ( e0 != op(e1,e1)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f632,plain,
    ( ~ spl15_22
    | ~ spl15_38 ),
    inference(avatar_split_clause,[],[f320,f490,f418]) ).

fof(f320,plain,
    ( ~ sP10
    | e1 != op(e1,e1) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ( e1 != op(e1,e1)
    | ~ sP10
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f631,plain,
    ( spl15_14
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f216,f390,f382]) ).

fof(f216,plain,
    ( e2 != op(e3,e3)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f630,plain,
    ( spl15_51
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f231,f436,f549]) ).

fof(f231,plain,
    ( op(e0,e0) != e2
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f597,plain,
    ( ~ spl15_60
    | ~ spl15_36
    | ~ spl15_61 ),
    inference(avatar_split_clause,[],[f273,f594,f481,f590]) ).

fof(f273,plain,
    ( e0 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(op(op(e2,e2),e2),e2) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( e3 = op(op(op(e2,e2),e2),e2)
      & e1 = op(e2,e2)
      & e0 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f588,plain,
    ( spl15_58
    | spl15_36
    | spl15_59
    | spl15_32 ),
    inference(avatar_split_clause,[],[f247,f462,f585,f481,f581]) ).

fof(f247,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e2,e0)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f574,plain,
    ( spl15_55
    | spl15_52
    | spl15_47
    | spl15_56 ),
    inference(avatar_split_clause,[],[f238,f571,f530,f554,f567]) ).

fof(f238,plain,
    ( e2 = op(e1,e0)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f565,plain,
    ( spl15_35
    | spl15_52
    | spl15_53
    | spl15_54 ),
    inference(avatar_split_clause,[],[f246,f562,f558,f554,f477]) ).

fof(f246,plain,
    ( e2 = op(e0,e1)
    | e2 = op(e3,e1)
    | e2 = op(e1,e1)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f552,plain,
    ( spl15_51
    | spl15_10
    | spl15_19
    | spl15_17 ),
    inference(avatar_split_clause,[],[f263,f395,f404,f365,f549]) ).

fof(f263,plain,
    ( e0 = op(e0,e1)
    | e0 = op(e0,e3)
    | e0 = op(e0,e0)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f547,plain,
    ( spl15_5
    | spl15_24
    | spl15_49
    | spl15_50 ),
    inference(avatar_split_clause,[],[f251,f544,f540,f427,f343]) ).

fof(f251,plain,
    ( e3 = op(e2,e0)
    | e3 = op(e2,e1)
    | e3 = op(e2,e2)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f538,plain,
    ( spl15_48
    | spl15_29
    | spl15_16
    | spl15_21 ),
    inference(avatar_split_clause,[],[f294,f414,f390,f449,f535]) ).

fof(f294,plain,
    ( e3 = op(e3,e3)
    | e2 = op(e3,e3)
    | e0 = op(e3,e3)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f533,plain,
    ( spl15_47
    | ~ spl15_39 ),
    inference(avatar_split_clause,[],[f206,f494,f530]) ).

fof(f206,plain,
    ( ~ sP1
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f528,plain,
    ( spl15_37
    | spl15_43
    | spl15_33
    | spl15_4
    | spl15_15
    | spl15_6
    | spl15_34
    | spl15_1
    | spl15_40
    | spl15_30
    | spl15_41
    | ~ spl15_23
    | spl15_39
    | spl15_38
    | spl15_20
    | spl15_42 ),
    inference(avatar_split_clause,[],[f321,f506,f409,f490,f494,f422,f502,f453,f498,f325,f472,f347,f386,f338,f467,f510,f485]) ).

fof(f321,plain,
    ( sP11
    | sP14
    | sP10
    | sP1
    | e2 != op(e2,e2)
    | sP2
    | sP7
    | sP13
    | sP8
    | sP3
    | sP0
    | sP6
    | sP4
    | sP5
    | sP9
    | sP12 ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f219,plain,
    ( sP10
    | e2 != op(e2,e2)
    | sP6
    | sP1
    | sP0
    | sP9
    | sP11
    | sP3
    | sP2
    | sP13
    | sP5
    | sP12
    | sP8
    | sP4
    | e2 != op(e2,e2)
    | sP7
    | sP14 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f527,plain,
    ( ~ spl15_45
    | ~ spl15_4
    | ~ spl15_46 ),
    inference(avatar_split_clause,[],[f190,f524,f338,f520]) ).

fof(f190,plain,
    ( e3 != op(e1,e1)
    | ~ sP4
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f518,plain,
    ( spl15_44
    | ~ spl15_40 ),
    inference(avatar_split_clause,[],[f147,f498,f515]) ).

fof(f147,plain,
    ( ~ sP13
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f513,plain,
    ( spl15_4
    | spl15_34
    | spl15_38
    | ~ spl15_16
    | spl15_39
    | spl15_40
    | spl15_1
    | spl15_30
    | spl15_33
    | spl15_41
    | ~ spl15_14
    | spl15_42
    | spl15_6
    | spl15_37
    | spl15_20
    | spl15_43
    | spl15_15 ),
    inference(avatar_split_clause,[],[f223,f386,f510,f409,f485,f347,f506,f382,f502,f467,f453,f325,f498,f494,f390,f490,f472,f338]) ).

fof(f223,plain,
    ( sP6
    | sP9
    | sP14
    | sP12
    | sP0
    | sP11
    | e3 != op(e3,e2)
    | sP2
    | sP5
    | sP7
    | sP8
    | sP13
    | sP1
    | e2 != op(e3,e3)
    | sP10
    | sP3
    | sP4 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f488,plain,
    ( ~ spl15_35
    | ~ spl15_36
    | ~ spl15_37 ),
    inference(avatar_split_clause,[],[f151,f485,f481,f477]) ).

fof(f151,plain,
    ( ~ sP12
    | e1 != op(e2,e2)
    | e2 != op(e2,e1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f475,plain,
    ( ~ spl15_29
    | ~ spl15_28
    | ~ spl15_34 ),
    inference(avatar_split_clause,[],[f198,f472,f445,f449]) ).

fof(f198,plain,
    ( ~ sP3
    | e3 != op(e3,e0)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f470,plain,
    ( ~ spl15_23
    | ~ spl15_33 ),
    inference(avatar_split_clause,[],[f322,f467,f422]) ).

fof(f322,plain,
    ( ~ sP5
    | e2 != op(e2,e2) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ( e2 != op(e2,e2)
    | ~ sP5
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f434,plain,
    ( ~ spl15_24
    | spl15_25 ),
    inference(avatar_split_clause,[],[f225,f431,f427]) ).

fof(f225,plain,
    ( e2 = op(e2,e3)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f425,plain,
    ( spl15_21
    | spl15_22
    | spl15_10
    | spl15_23 ),
    inference(avatar_split_clause,[],[f233,f422,f365,f418,f414]) ).

fof(f233,plain,
    ( e2 = op(e2,e2)
    | e0 = op(e0,e0)
    | e1 = op(e1,e1)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f412,plain,
    ( ~ spl15_20
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f323,f365,f409]) ).

fof(f323,plain,
    ( e0 != op(e0,e0)
    | ~ sP14 ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ( e0 != op(e0,e0)
    | ~ sP14
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f407,plain,
    ( ~ spl15_4
    | ~ spl15_19
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f192,f360,f404,f338]) ).

fof(f192,plain,
    ( op(e0,e0) != e3
    | e0 != op(e0,e3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f402,plain,
    ( spl15_17
    | ~ spl15_18 ),
    inference(avatar_split_clause,[],[f224,f399,f395]) ).

fof(f224,plain,
    ( op(e0,e0) != e1
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f393,plain,
    ( ~ spl15_14
    | ~ spl15_15
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f180,f390,f386,f382]) ).

fof(f180,plain,
    ( e2 != op(e3,e3)
    | ~ sP6
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f380,plain,
    ( spl15_10
    | spl15_11
    | spl15_12
    | spl15_13 ),
    inference(avatar_split_clause,[],[f239,f377,f373,f369,f365]) ).

fof(f239,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | e0 = op(e3,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f363,plain,
    ( ~ spl15_7
    | ~ spl15_8
    | ~ spl15_9 ),
    inference(avatar_split_clause,[],[f291,f360,f356,f352]) ).

fof(f291,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(op(e0,e0),e0),e0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(op(e0,e0),e0),e0)
    | e2 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f27]) ).

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

fof(f350,plain,
    ( spl15_5
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f213,f347,f343]) ).

fof(f213,plain,
    ( ~ sP0
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f341,plain,
    ( spl15_3
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f194,f338,f334]) ).

fof(f194,plain,
    ( ~ sP4
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f332,plain,
    ( ~ spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f174,f329,f325]) ).

fof(f174,plain,
    ( e1 = op(e0,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ALG148+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 29 14:53:04 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  % (19360)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52  % (19376)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.12/0.52  % (19368)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.12/0.53  % (19369)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.12/0.53  % (19361)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.12/0.53  % (19359)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.12/0.54  % (19353)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.55  % (19352)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.37/0.55  % (19355)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.55  % (19355)Instruction limit reached!
% 1.37/0.55  % (19355)------------------------------
% 1.37/0.55  % (19355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (19355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (19355)Termination reason: Unknown
% 1.37/0.55  % (19355)Termination phase: shuffling
% 1.37/0.55  
% 1.37/0.55  % (19355)Memory used [KB]: 1023
% 1.37/0.55  % (19355)Time elapsed: 0.003 s
% 1.37/0.55  % (19355)Instructions burned: 3 (million)
% 1.37/0.55  % (19355)------------------------------
% 1.37/0.55  % (19355)------------------------------
% 1.37/0.55  % (19348)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.55  % (19351)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.55  % (19349)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.37/0.55  % (19350)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.56  % (19358)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.56  % (19356)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.56  % (19357)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.56  % (19347)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.37/0.56  % (19375)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.37/0.56  % (19370)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.37/0.56  % (19374)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.37/0.56  % (19371)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.37/0.56  % (19373)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.37/0.56  % (19372)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.37/0.57  % (19354)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.57  % (19367)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.37/0.57  % (19366)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.57  % (19364)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.37/0.57  % (19365)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.57  % (19363)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.58  % (19362)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.37/0.59  TRYING [4]
% 1.37/0.59  % (19354)Instruction limit reached!
% 1.37/0.59  % (19354)------------------------------
% 1.37/0.59  % (19354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.59  % (19354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.59  % (19354)Termination reason: Unknown
% 1.37/0.59  % (19354)Termination phase: Saturation
% 1.37/0.59  
% 1.37/0.59  % (19354)Memory used [KB]: 5628
% 1.37/0.59  % (19354)Time elapsed: 0.005 s
% 1.37/0.59  % (19354)Instructions burned: 8 (million)
% 1.37/0.59  % (19354)------------------------------
% 1.37/0.59  % (19354)------------------------------
% 1.37/0.60  TRYING [4]
% 1.37/0.61  % (19349)Instruction limit reached!
% 1.37/0.61  % (19349)------------------------------
% 1.37/0.61  % (19349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61  % (19349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61  % (19349)Termination reason: Unknown
% 1.37/0.61  % (19349)Termination phase: Saturation
% 1.37/0.61  
% 1.37/0.61  % (19349)Memory used [KB]: 1279
% 1.37/0.61  % (19349)Time elapsed: 0.189 s
% 1.37/0.61  % (19349)Instructions burned: 38 (million)
% 1.37/0.61  % (19349)------------------------------
% 1.37/0.61  % (19349)------------------------------
% 1.37/0.61  % (19353)Instruction limit reached!
% 1.37/0.61  % (19353)------------------------------
% 1.37/0.61  % (19353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61  % (19353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61  % (19353)Termination reason: Unknown
% 1.37/0.61  % (19353)Termination phase: Finite model building SAT solving
% 1.37/0.61  
% 1.37/0.61  % (19353)Memory used [KB]: 7675
% 1.37/0.61  % (19353)Time elapsed: 0.126 s
% 1.37/0.61  % (19353)Instructions burned: 53 (million)
% 1.37/0.61  % (19353)------------------------------
% 1.37/0.61  % (19353)------------------------------
% 1.37/0.62  % (19348)Instruction limit reached!
% 1.37/0.62  % (19348)------------------------------
% 1.37/0.62  % (19348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.62  % (19348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.62  % (19348)Termination reason: Unknown
% 1.37/0.62  % (19348)Termination phase: Saturation
% 1.37/0.62  
% 1.37/0.62  % (19348)Memory used [KB]: 6268
% 1.37/0.62  % (19348)Time elapsed: 0.030 s
% 1.37/0.62  % (19348)Instructions burned: 50 (million)
% 1.37/0.62  % (19348)------------------------------
% 1.37/0.62  % (19348)------------------------------
% 1.37/0.62  TRYING [4]
% 1.37/0.63  % (19356)Instruction limit reached!
% 1.37/0.63  % (19356)------------------------------
% 1.37/0.63  % (19356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.63  % (19352)Instruction limit reached!
% 1.37/0.63  % (19352)------------------------------
% 1.37/0.63  % (19352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.64  % (19360)First to succeed.
% 1.37/0.64  % (19350)Instruction limit reached!
% 1.37/0.64  % (19350)------------------------------
% 1.37/0.64  % (19350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.64  % (19350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.64  % (19350)Termination reason: Unknown
% 1.37/0.64  % (19350)Termination phase: Saturation
% 1.37/0.64  
% 1.37/0.64  % (19350)Memory used [KB]: 6652
% 1.37/0.64  % (19350)Time elapsed: 0.196 s
% 1.37/0.64  % (19350)Instructions burned: 51 (million)
% 1.37/0.64  % (19350)------------------------------
% 1.37/0.64  % (19350)------------------------------
% 1.37/0.64  % (19351)Instruction limit reached!
% 1.37/0.64  % (19351)------------------------------
% 1.37/0.64  % (19351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.64  % (19351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.64  % (19351)Termination reason: Unknown
% 1.37/0.64  % (19351)Termination phase: Saturation
% 1.37/0.64  
% 1.37/0.64  % (19351)Memory used [KB]: 6268
% 1.37/0.64  % (19351)Time elapsed: 0.026 s
% 1.37/0.64  % (19351)Instructions burned: 52 (million)
% 1.37/0.64  % (19351)------------------------------
% 1.37/0.64  % (19351)------------------------------
% 2.08/0.64  % (19357)Instruction limit reached!
% 2.08/0.64  % (19357)------------------------------
% 2.08/0.64  % (19357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64  % (19357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64  % (19357)Termination reason: Unknown
% 2.08/0.64  % (19357)Termination phase: Saturation
% 2.08/0.64  
% 2.08/0.64  % (19357)Memory used [KB]: 6780
% 2.08/0.64  % (19357)Time elapsed: 0.025 s
% 2.08/0.64  % (19357)Instructions burned: 51 (million)
% 2.08/0.64  % (19357)------------------------------
% 2.08/0.64  % (19357)------------------------------
% 2.08/0.64  % (19356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64  % (19356)Termination reason: Unknown
% 2.08/0.64  % (19356)Termination phase: Saturation
% 2.08/0.64  
% 2.08/0.64  % (19356)Memory used [KB]: 1407
% 2.08/0.64  % (19356)Time elapsed: 0.194 s
% 2.08/0.64  % (19356)Instructions burned: 51 (million)
% 2.08/0.64  % (19356)------------------------------
% 2.08/0.64  % (19356)------------------------------
% 2.08/0.64  % (19352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64  % (19352)Termination reason: Unknown
% 2.08/0.64  % (19352)Termination phase: Saturation
% 2.08/0.64  
% 2.08/0.64  % (19352)Memory used [KB]: 6140
% 2.08/0.64  % (19352)Time elapsed: 0.214 s
% 2.08/0.64  % (19352)Instructions burned: 49 (million)
% 2.08/0.64  % (19352)------------------------------
% 2.08/0.64  % (19352)------------------------------
% 2.08/0.64  TRYING [5]
% 2.08/0.64  % (19361)Instruction limit reached!
% 2.08/0.64  % (19361)------------------------------
% 2.08/0.64  % (19361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64  % (19361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64  % (19361)Termination reason: Unknown
% 2.08/0.64  % (19361)Termination phase: Saturation
% 2.08/0.64  
% 2.08/0.64  % (19361)Memory used [KB]: 6396
% 2.08/0.64  % (19361)Time elapsed: 0.048 s
% 2.08/0.64  % (19361)Instructions burned: 69 (million)
% 2.08/0.64  % (19361)------------------------------
% 2.08/0.64  % (19361)------------------------------
% 2.08/0.65  % (19364)Instruction limit reached!
% 2.08/0.65  % (19364)------------------------------
% 2.08/0.65  % (19364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.65  % (19364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.65  % (19364)Termination reason: Unknown
% 2.08/0.65  % (19364)Termination phase: Finite model building SAT solving
% 2.08/0.65  
% 2.08/0.65  % (19364)Memory used [KB]: 7547
% 2.08/0.65  % (19364)Time elapsed: 0.220 s
% 2.08/0.65  % (19364)Instructions burned: 59 (million)
% 2.08/0.65  % (19364)------------------------------
% 2.08/0.65  % (19364)------------------------------
% 2.08/0.67  % (19373)Instruction limit reached!
% 2.08/0.67  % (19373)------------------------------
% 2.08/0.67  % (19373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.67  % (19373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.67  % (19373)Termination reason: Unknown
% 2.08/0.67  % (19373)Termination phase: Saturation
% 2.08/0.67  
% 2.08/0.67  % (19373)Memory used [KB]: 6524
% 2.08/0.67  % (19373)Time elapsed: 0.045 s
% 2.08/0.67  % (19373)Instructions burned: 68 (million)
% 2.08/0.67  % (19373)------------------------------
% 2.08/0.67  % (19373)------------------------------
% 2.08/0.68  % (19360)Refutation found. Thanks to Tanya!
% 2.08/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.08/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.68  % (19360)------------------------------
% 2.08/0.68  % (19360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.68  % (19360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.68  % (19360)Termination reason: Refutation
% 2.08/0.68  
% 2.08/0.68  % (19360)Memory used [KB]: 6780
% 2.08/0.68  % (19360)Time elapsed: 0.227 s
% 2.08/0.68  % (19360)Instructions burned: 72 (million)
% 2.08/0.68  % (19360)------------------------------
% 2.08/0.68  % (19360)------------------------------
% 2.08/0.68  % (19346)Success in time 0.311 s
%------------------------------------------------------------------------------