TSTP Solution File: ALG135+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG135+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Mon May 20 18:32:44 EDT 2024
% Result : Unsatisfiable 3.82s 0.94s
% Output : Refutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 161
% Syntax : Number of formulae : 2218 ( 109 unt; 0 def)
% Number of atoms : 10519 (4600 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 13472 (5171 ~;8000 |; 175 &)
% ( 126 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 136 ( 134 usr; 135 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16597,plain,
$false,
inference(avatar_sat_refutation,[],[f281,f286,f291,f296,f301,f306,f315,f324,f333,f342,f351,f360,f369,f378,f383,f388,f393,f398,f403,f408,f413,f418,f423,f428,f433,f438,f443,f448,f453,f458,f463,f468,f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f598,f603,f608,f613,f618,f627,f637,f640,f642,f651,f659,f669,f686,f700,f715,f729,f739,f740,f752,f771,f789,f800,f803,f819,f824,f845,f862,f865,f872,f876,f883,f908,f914,f926,f929,f948,f954,f968,f974,f993,f997,f1001,f1005,f1009,f1016,f1027,f1032,f1048,f1063,f1108,f1116,f1117,f1124,f1125,f1129,f1138,f1145,f1147,f1169,f1171,f1181,f1196,f1200,f1203,f1206,f1213,f1234,f1249,f1257,f1266,f1268,f1286,f1300,f1309,f1318,f1362,f1381,f1404,f1423,f1428,f1439,f1472,f1494,f1536,f1554,f1584,f1608,f1648,f1650,f1659,f1683,f1694,f1712,f1719,f1727,f1733,f1759,f1790,f1805,f1868,f1916,f1959,f1978,f2004,f2025,f2051,f2135,f2182,f2193,f2240,f2258,f2304,f2341,f2353,f2368,f2370,f2429,f2442,f2533,f2620,f2707,f2722,f2752,f2829,f2876,f2912,f2979,f3033,f3085,f3138,f3158,f3247,f3326,f3332,f3340,f3341,f3384,f3394,f3397,f3452,f3477,f3500,f3509,f3544,f3586,f3593,f3602,f3610,f3616,f3651,f3680,f3709,f3791,f3798,f3877,f3914,f3933,f3955,f3974,f3976,f4040,f4042,f4126,f4136,f4164,f4192,f4231,f4248,f4284,f4298,f4327,f4354,f4431,f4490,f4521,f4597,f4661,f4701,f4755,f4848,f4931,f4945,f4975,f5018,f5020,f5051,f5141,f5166,f5214,f5280,f5281,f5326,f5346,f5377,f5382,f5414,f5430,f5454,f5488,f5497,f5510,f5518,f5552,f5573,f5585,f5600,f5621,f5629,f5638,f5644,f5682,f5702,f5712,f5719,f5745,f5767,f5790,f5838,f5843,f5852,f5872,f5894,f5917,f5996,f6025,f6072,f6099,f6232,f6257,f6286,f6290,f6357,f6465,f6535,f6577,f6579,f6600,f6608,f6619,f6628,f6639,f6659,f6665,f6677,f6685,f6708,f6732,f6749,f6752,f6803,f6853,f6878,f6903,f6972,f7035,f7091,f7118,f7156,f7195,f7214,f7279,f7327,f7338,f7431,f7456,f7465,f7495,f7514,f7798,f7799,f8024,f8150,f8262,f8299,f8385,f8412,f8462,f8510,f8599,f8635,f8642,f8737,f8910,f9105,f9260,f9347,f9434,f9558,f9616,f9623,f9627,f9637,f9642,f9658,f9660,f9673,f9859,f9906,f9918,f9930,f9932,f9938,f9957,f9986,f9998,f10007,f10070,f10081,f10126,f10156,f10168,f10217,f10223,f10231,f10234,f10245,f10285,f10315,f10324,f10327,f10338,f10350,f10358,f10415,f10429,f10433,f10447,f10461,f10584,f10659,f10703,f10736,f10743,f10794,f10829,f10884,f10896,f10976,f10981,f11035,f11039,f11100,f11165,f11166,f11224,f11225,f11231,f11245,f11256,f11263,f11293,f11320,f11326,f11339,f11349,f11370,f11377,f11417,f11428,f11438,f11512,f11589,f11599,f11607,f11688,f11692,f11728,f11733,f11745,f11765,f11776,f11789,f11860,f11952,f11994,f12024,f12106,f12144,f12186,f12199,f12312,f12313,f12420,f12421,f12511,f12546,f12554,f12563,f12584,f12586,f12666,f12676,f12787,f12843,f12876,f12977,f13016,f13022,f13042,f13129,f13205,f13250,f13257,f13312,f13335,f13348,f13511,f13674,f13760,f13777,f13842,f13959,f13968,f14015,f14074,f14105,f14181,f14217,f14242,f14257,f14270,f14278,f14327,f14398,f14491,f14547,f14568,f14583,f14708,f14711,f14713,f14721,f14734,f14800,f14820,f14834,f14887,f14897,f14904,f14910,f14922,f14945,f14951,f14973,f14979,f14988,f15011,f15023,f15036,f15048,f15055,f15056,f15097,f15098,f15102,f15106,f15119,f15197,f15233,f15252,f15264,f15279,f15289,f15434,f15619,f15621,f15622,f15638,f15655,f15656,f15657,f15668,f15806,f15868,f15969,f16099,f16111,f16122,f16127,f16149,f16151,f16177,f16218,f16219,f16237,f16283,f16313,f16332,f16355,f16357,f16372,f16380,f16389,f16403,f16409,f16476,f16525,f16537,f16552,f16575,f16596]) ).
fof(f16596,plain,
( spl8_75
| spl8_6
| spl8_2
| ~ spl8_14
| ~ spl8_93
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f16579,f5015,f736,f339,f283,f303,f644]) ).
fof(f644,plain,
( spl8_75
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_75])]) ).
fof(f303,plain,
( spl8_6
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f283,plain,
( spl8_2
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f339,plain,
( spl8_14
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f736,plain,
( spl8_93
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_93])]) ).
fof(f5015,plain,
( spl8_122
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_122])]) ).
fof(f16579,plain,
( e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl8_14
| ~ spl8_93
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f16578]) ).
fof(f16578,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl8_14
| ~ spl8_93
| ~ spl8_122 ),
inference(forward_demodulation,[],[f15103,f737]) ).
fof(f737,plain,
( e0 = op(e3,e2)
| ~ spl8_93 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f15103,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl8_14
| ~ spl8_122 ),
inference(forward_demodulation,[],[f8175,f341]) ).
fof(f341,plain,
( e0 = op(e0,e2)
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f8175,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl8_122 ),
inference(forward_demodulation,[],[f146,f5016]) ).
fof(f5016,plain,
( e3 = op(e1,e2)
| ~ spl8_122 ),
inference(avatar_component_clause,[],[f5015]) ).
fof(f146,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f16575,plain,
( spl8_117
| spl8_6
| spl8_2
| ~ spl8_14
| ~ spl8_92
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f16557,f736,f732,f339,f283,f303,f1189]) ).
fof(f1189,plain,
( spl8_117
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_117])]) ).
fof(f732,plain,
( spl8_92
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_92])]) ).
fof(f16557,plain,
( e0 = e2
| e2 = e3
| e2 = op(e1,e2)
| ~ spl8_14
| ~ spl8_92
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f16556]) ).
fof(f16556,plain,
( e0 = e2
| e2 = e3
| e0 = e2
| e2 = op(e1,e2)
| ~ spl8_14
| ~ spl8_92
| ~ spl8_93 ),
inference(forward_demodulation,[],[f15884,f737]) ).
fof(f15884,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_14
| ~ spl8_92 ),
inference(forward_demodulation,[],[f14978,f733]) ).
fof(f733,plain,
( e3 = op(e2,e2)
| ~ spl8_92 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f14978,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f146,f341]) ).
fof(f16552,plain,
( spl8_122
| spl8_92
| spl8_3
| ~ spl8_14
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f16465,f736,f339,f288,f732,f5015]) ).
fof(f288,plain,
( spl8_3
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f16465,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl8_14
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f16464]) ).
fof(f16464,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl8_14
| ~ spl8_93 ),
inference(forward_demodulation,[],[f14975,f737]) ).
fof(f14975,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f148,f341]) ).
fof(f148,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16537,plain,
( spl8_125
| spl8_5
| spl8_6
| ~ spl8_8
| ~ spl8_81
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f16469,f726,f679,f312,f303,f298,f6616]) ).
fof(f6616,plain,
( spl8_125
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_125])]) ).
fof(f298,plain,
( spl8_5
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f312,plain,
( spl8_8
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f679,plain,
( spl8_81
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_81])]) ).
fof(f726,plain,
( spl8_91
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_91])]) ).
fof(f16469,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl8_8
| ~ spl8_81
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f16468]) ).
fof(f16468,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl8_8
| ~ spl8_81
| ~ spl8_91 ),
inference(forward_demodulation,[],[f14440,f727]) ).
fof(f727,plain,
( e2 = op(e3,e3)
| ~ spl8_91 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f14440,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl8_8
| ~ spl8_81 ),
inference(forward_demodulation,[],[f13555,f680]) ).
fof(f680,plain,
( e2 = op(e0,e3)
| ~ spl8_81 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f13555,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f156,f314]) ).
fof(f314,plain,
( e1 = op(e1,e3)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f156,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16525,plain,
( spl8_12
| spl8_1
| ~ spl8_14
| ~ spl8_86
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f16461,f736,f704,f339,f278,f330]) ).
fof(f330,plain,
( spl8_12
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f278,plain,
( spl8_1
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f704,plain,
( spl8_86
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_86])]) ).
fof(f16461,plain,
( e0 = e1
| e1 = op(e1,e2)
| ~ spl8_14
| ~ spl8_86
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f16460]) ).
fof(f16460,plain,
( e0 = e1
| e0 = e1
| e1 = op(e1,e2)
| ~ spl8_14
| ~ spl8_86
| ~ spl8_93 ),
inference(forward_demodulation,[],[f15736,f705]) ).
fof(f705,plain,
( e0 = op(e2,e2)
| ~ spl8_86 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f15736,plain,
( e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl8_14
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f15735]) ).
fof(f15735,plain,
( e0 = e1
| e0 = e1
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl8_14
| ~ spl8_93 ),
inference(forward_demodulation,[],[f14974,f737]) ).
fof(f14974,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f144,f341]) ).
fof(f144,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16476,plain,
( ~ spl8_9
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f15447,f624,f317]) ).
fof(f317,plain,
( spl8_9
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f624,plain,
( spl8_72
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_72])]) ).
fof(f15447,plain,
( ~ sP6
| ~ spl8_72 ),
inference(trivial_inequality_removal,[],[f4626]) ).
fof(f4626,plain,
( e3 != e3
| ~ sP6
| ~ spl8_72 ),
inference(forward_demodulation,[],[f176,f626]) ).
fof(f626,plain,
( e3 = op(e3,e0)
| ~ spl8_72 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f176,plain,
( e3 != op(e3,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e3 != op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e3 != op(e3,e0)
& e0 = op(e0,e3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16409,plain,
( spl8_91
| spl8_6
| spl8_4
| spl8_2
| ~ spl8_76
| ~ spl8_98
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f16402,f971,f768,f648,f283,f293,f303,f726]) ).
fof(f293,plain,
( spl8_4
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f648,plain,
( spl8_76
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_76])]) ).
fof(f768,plain,
( spl8_98
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_98])]) ).
fof(f971,plain,
( spl8_108
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_108])]) ).
fof(f16402,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl8_76
| ~ spl8_98
| ~ spl8_108 ),
inference(forward_demodulation,[],[f16401,f770]) ).
fof(f770,plain,
( e0 = op(e3,e0)
| ~ spl8_98 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f16401,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl8_76
| ~ spl8_108 ),
inference(forward_demodulation,[],[f12811,f973]) ).
fof(f973,plain,
( e1 = op(e3,e1)
| ~ spl8_108 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f12811,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_76 ),
inference(forward_demodulation,[],[f153,f650]) ).
fof(f650,plain,
( e3 = op(e3,e2)
| ~ spl8_76 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f153,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16403,plain,
( spl8_91
| spl8_4
| spl8_6
| spl8_2
| ~ spl8_10
| ~ spl8_112
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f16391,f3329,f1113,f321,f283,f303,f293,f726]) ).
fof(f321,plain,
( spl8_10
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f1113,plain,
( spl8_112
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_112])]) ).
fof(f3329,plain,
( spl8_120
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_120])]) ).
fof(f16391,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| ~ spl8_10
| ~ spl8_112
| ~ spl8_120 ),
inference(forward_demodulation,[],[f16390,f323]) ).
fof(f323,plain,
( e0 = op(e0,e3)
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f16390,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl8_112
| ~ spl8_120 ),
inference(forward_demodulation,[],[f14832,f3331]) ).
fof(f3331,plain,
( e3 = op(e1,e3)
| ~ spl8_120 ),
inference(avatar_component_clause,[],[f3329]) ).
fof(f14832,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_112 ),
inference(forward_demodulation,[],[f154,f1114]) ).
fof(f1114,plain,
( e1 = op(e2,e3)
| ~ spl8_112 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f154,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16389,plain,
( ~ spl8_86
| ~ spl8_91
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f16382,f782,f726,f704]) ).
fof(f782,plain,
( spl8_100
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_100])]) ).
fof(f16382,plain,
( e2 != op(e3,e3)
| e0 != op(e2,e2)
| ~ spl8_100 ),
inference(trivial_inequality_removal,[],[f16381]) ).
fof(f16381,plain,
( e1 != e1
| e2 != op(e3,e3)
| e0 != op(e2,e2)
| ~ spl8_100 ),
inference(forward_demodulation,[],[f232,f784]) ).
fof(f784,plain,
( e1 = op(e0,e2)
| ~ spl8_100 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f232,plain,
( e2 != op(e3,e3)
| e1 != op(e0,e2)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f231]) ).
fof(f231,plain,
( e2 != op(e3,e3)
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f206]) ).
fof(f206,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f16380,plain,
( spl8_86
| spl8_115
| spl8_2
| spl8_3
| ~ spl8_73
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f15159,f3971,f630,f288,f283,f1166,f704]) ).
fof(f1166,plain,
( spl8_115
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_115])]) ).
fof(f630,plain,
( spl8_73
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_73])]) ).
fof(f3971,plain,
( spl8_121
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_121])]) ).
fof(f15159,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| ~ spl8_73
| ~ spl8_121 ),
inference(forward_demodulation,[],[f1616,f3973]) ).
fof(f3973,plain,
( e3 = op(e2,e0)
| ~ spl8_121 ),
inference(avatar_component_clause,[],[f3971]) ).
fof(f1616,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f141,f632]) ).
fof(f632,plain,
( e2 = op(e2,e1)
| ~ spl8_73 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f141,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16372,plain,
( spl8_120
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f16359,f1113,f726,f321,f288,f303,f298,f3329]) ).
fof(f16359,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl8_10
| ~ spl8_91
| ~ spl8_112 ),
inference(forward_demodulation,[],[f16358,f323]) ).
fof(f16358,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_112 ),
inference(forward_demodulation,[],[f13766,f727]) ).
fof(f13766,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_112 ),
inference(forward_demodulation,[],[f156,f1114]) ).
fof(f16357,plain,
( spl8_89
| spl8_112
| spl8_4
| spl8_5
| ~ spl8_73
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f15157,f3971,f630,f298,f293,f1113,f718]) ).
fof(f718,plain,
( spl8_89
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_89])]) ).
fof(f15157,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| ~ spl8_73
| ~ spl8_121 ),
inference(forward_demodulation,[],[f9863,f3973]) ).
fof(f9863,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f143,f632]) ).
fof(f143,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16355,plain,
( ~ spl8_97
| spl8_28
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f14542,f768,f405,f764]) ).
fof(f764,plain,
( spl8_97
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_97])]) ).
fof(f405,plain,
( spl8_28
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).
fof(f14542,plain,
( e0 != op(e2,e0)
| spl8_28
| ~ spl8_98 ),
inference(superposition,[],[f407,f770]) ).
fof(f407,plain,
( op(e2,e0) != op(e3,e0)
| spl8_28 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f16332,plain,
( ~ spl8_121
| ~ spl8_83
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f16320,f793,f689,f3971]) ).
fof(f689,plain,
( spl8_83
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_83])]) ).
fof(f793,plain,
( spl8_102
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_102])]) ).
fof(f16320,plain,
( e3 != op(e2,e0)
| ~ spl8_83
| ~ spl8_102 ),
inference(trivial_inequality_removal,[],[f16319]) ).
fof(f16319,plain,
( e2 != e2
| e3 != op(e2,e0)
| ~ spl8_83
| ~ spl8_102 ),
inference(forward_demodulation,[],[f16318,f795]) ).
fof(f795,plain,
( op(e0,e0) = e2
| ~ spl8_102 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f16318,plain,
( e3 != op(e2,e0)
| op(e0,e0) != e2
| ~ spl8_83 ),
inference(trivial_inequality_removal,[],[f16317]) ).
fof(f16317,plain,
( e0 != e0
| e3 != op(e2,e0)
| op(e0,e0) != e2
| ~ spl8_83 ),
inference(forward_demodulation,[],[f264,f690]) ).
fof(f690,plain,
( e0 = op(e1,e1)
| ~ spl8_83 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f264,plain,
( e0 != op(e1,e1)
| e3 != op(e2,e0)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f263]) ).
fof(f263,plain,
( e0 != op(e1,e1)
| e3 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f222]) ).
fof(f222,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f16313,plain,
( spl8_6
| spl8_3
| spl8_5
| ~ spl8_20
| ~ spl8_83
| ~ spl8_116
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f16303,f1189,f1178,f689,f366,f298,f288,f303]) ).
fof(f366,plain,
( spl8_20
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f1178,plain,
( spl8_116
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_116])]) ).
fof(f16303,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_20
| ~ spl8_83
| ~ spl8_116
| ~ spl8_117 ),
inference(forward_demodulation,[],[f16302,f368]) ).
fof(f368,plain,
( e1 = op(e1,e0)
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f16302,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_83
| ~ spl8_116
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f16301]) ).
fof(f16301,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_83
| ~ spl8_116
| ~ spl8_117 ),
inference(forward_demodulation,[],[f11632,f1180]) ).
fof(f1180,plain,
( e0 = op(e1,e3)
| ~ spl8_116 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f11632,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl8_83
| ~ spl8_117 ),
inference(forward_demodulation,[],[f10179,f690]) ).
fof(f10179,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_117 ),
inference(forward_demodulation,[],[f139,f1191]) ).
fof(f1191,plain,
( e2 = op(e1,e2)
| ~ spl8_117 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f139,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16283,plain,
( spl8_85
| spl8_5
| spl8_1
| ~ spl8_76
| ~ spl8_98
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f16223,f859,f768,f648,f278,f298,f697]) ).
fof(f697,plain,
( spl8_85
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_85])]) ).
fof(f859,plain,
( spl8_106
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_106])]) ).
fof(f16223,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_76
| ~ spl8_98
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f16222]) ).
fof(f16222,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_76
| ~ spl8_98
| ~ spl8_106 ),
inference(forward_demodulation,[],[f6262,f861]) ).
fof(f861,plain,
( e0 = op(e3,e1)
| ~ spl8_106 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f6262,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl8_76
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1746,f770]) ).
fof(f1746,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_76 ),
inference(forward_demodulation,[],[f151,f650]) ).
fof(f151,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16237,plain,
( spl8_91
| spl8_6
| spl8_2
| ~ spl8_76
| ~ spl8_98
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f16221,f859,f768,f648,f283,f303,f726]) ).
fof(f16221,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl8_76
| ~ spl8_98
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f16220]) ).
fof(f16220,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl8_76
| ~ spl8_98
| ~ spl8_106 ),
inference(forward_demodulation,[],[f5655,f861]) ).
fof(f5655,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl8_76
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1741,f770]) ).
fof(f1741,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_76 ),
inference(forward_demodulation,[],[f153,f650]) ).
fof(f16219,plain,
( spl8_6
| spl8_4
| spl8_2
| ~ spl8_76
| ~ spl8_85
| ~ spl8_98
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f16203,f859,f768,f697,f648,f283,f293,f303]) ).
fof(f16203,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| ~ spl8_76
| ~ spl8_85
| ~ spl8_98
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f16202]) ).
fof(f16202,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_76
| ~ spl8_85
| ~ spl8_98
| ~ spl8_106 ),
inference(forward_demodulation,[],[f15380,f861]) ).
fof(f15380,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl8_76
| ~ spl8_85
| ~ spl8_98 ),
inference(forward_demodulation,[],[f5655,f698]) ).
fof(f698,plain,
( e1 = op(e3,e3)
| ~ spl8_85 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f16218,plain,
( ~ spl8_117
| spl8_58
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f14070,f1193,f555,f1189]) ).
fof(f555,plain,
( spl8_58
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_58])]) ).
fof(f1193,plain,
( spl8_118
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_118])]) ).
fof(f14070,plain,
( e2 != op(e1,e2)
| spl8_58
| ~ spl8_118 ),
inference(superposition,[],[f557,f1195]) ).
fof(f1195,plain,
( e2 = op(e1,e3)
| ~ spl8_118 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f557,plain,
( op(e1,e2) != op(e1,e3)
| spl8_58 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f16177,plain,
( ~ spl8_85
| ~ spl8_109
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f16163,f1193,f982,f697]) ).
fof(f982,plain,
( spl8_109
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_109])]) ).
fof(f16163,plain,
( e1 != op(e3,e3)
| ~ spl8_109
| ~ spl8_118 ),
inference(trivial_inequality_removal,[],[f16162]) ).
fof(f16162,plain,
( e2 != e2
| e1 != op(e3,e3)
| ~ spl8_109
| ~ spl8_118 ),
inference(forward_demodulation,[],[f16161,f1195]) ).
fof(f16161,plain,
( e2 != op(e1,e3)
| e1 != op(e3,e3)
| ~ spl8_109 ),
inference(trivial_inequality_removal,[],[f16160]) ).
fof(f16160,plain,
( e3 != e3
| e2 != op(e1,e3)
| e1 != op(e3,e3)
| ~ spl8_109 ),
inference(forward_demodulation,[],[f276,f984]) ).
fof(f984,plain,
( op(e0,e0) = e3
| ~ spl8_109 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f276,plain,
( op(e0,e0) != e3
| e2 != op(e1,e3)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f275]) ).
fof(f275,plain,
( op(e0,e0) != e3
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f228]) ).
fof(f228,plain,
( op(e0,e0) != e3
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( op(e0,e0) != e3
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( op(e0,e0) = e3
& e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f16151,plain,
( spl8_85
| spl8_1
| spl8_5
| spl8_4
| ~ spl8_76
| ~ spl8_105
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f16129,f859,f816,f648,f293,f298,f278,f697]) ).
fof(f816,plain,
( spl8_105
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_105])]) ).
fof(f16129,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_76
| ~ spl8_105
| ~ spl8_106 ),
inference(forward_demodulation,[],[f6091,f818]) ).
fof(f818,plain,
( e2 = op(e3,e0)
| ~ spl8_105 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f6091,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_76
| ~ spl8_106 ),
inference(forward_demodulation,[],[f1303,f650]) ).
fof(f1303,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_106 ),
inference(forward_demodulation,[],[f151,f861]) ).
fof(f16149,plain,
( ~ spl8_74
| spl8_69
| ~ spl8_79 ),
inference(avatar_split_clause,[],[f6834,f666,f610,f634]) ).
fof(f634,plain,
( spl8_74
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_74])]) ).
fof(f610,plain,
( spl8_69
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_69])]) ).
fof(f666,plain,
( spl8_79
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_79])]) ).
fof(f6834,plain,
( e3 != op(e3,e1)
| spl8_69
| ~ spl8_79 ),
inference(superposition,[],[f612,f668]) ).
fof(f668,plain,
( e3 = op(e3,e3)
| ~ spl8_79 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f612,plain,
( op(e3,e1) != op(e3,e3)
| spl8_69 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f16127,plain,
( spl8_83
| spl8_106
| spl8_2
| spl8_1
| ~ spl8_73
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f7123,f778,f630,f278,f283,f859,f689]) ).
fof(f778,plain,
( spl8_99
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_99])]) ).
fof(f7123,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl8_73
| ~ spl8_99 ),
inference(forward_demodulation,[],[f6998,f780]) ).
fof(f780,plain,
( e1 = op(e0,e1)
| ~ spl8_99 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f6998,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f134,f632]) ).
fof(f134,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16122,plain,
( spl8_82
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_20
| ~ spl8_90
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f16103,f1193,f722,f366,f288,f303,f298,f683]) ).
fof(f683,plain,
( spl8_82
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_82])]) ).
fof(f722,plain,
( spl8_90
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_90])]) ).
fof(f16103,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl8_20
| ~ spl8_90
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14047,f723]) ).
fof(f723,plain,
( e0 = op(e1,e2)
| ~ spl8_90 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f14047,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl8_20
| ~ spl8_118 ),
inference(forward_demodulation,[],[f11696,f1195]) ).
fof(f11696,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl8_20 ),
inference(forward_demodulation,[],[f139,f368]) ).
fof(f16111,plain,
( spl8_85
| spl8_4
| spl8_1
| spl8_5
| ~ spl8_10
| ~ spl8_118
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f16037,f6616,f1193,f321,f298,f278,f293,f697]) ).
fof(f16037,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl8_10
| ~ spl8_118
| ~ spl8_125 ),
inference(forward_demodulation,[],[f14221,f6618]) ).
fof(f6618,plain,
( e3 = op(e2,e3)
| ~ spl8_125 ),
inference(avatar_component_clause,[],[f6616]) ).
fof(f14221,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| ~ spl8_10
| ~ spl8_118 ),
inference(forward_demodulation,[],[f3096,f323]) ).
fof(f3096,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl8_118 ),
inference(forward_demodulation,[],[f152,f1195]) ).
fof(f152,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16099,plain,
( spl8_106
| spl8_2
| spl8_3
| spl8_1
| ~ spl8_73
| ~ spl8_82
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f15354,f778,f683,f630,f278,f288,f283,f859]) ).
fof(f15354,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl8_73
| ~ spl8_82
| ~ spl8_99 ),
inference(forward_demodulation,[],[f15155,f780]) ).
fof(f15155,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl8_73
| ~ spl8_82 ),
inference(forward_demodulation,[],[f9564,f684]) ).
fof(f684,plain,
( e3 = op(e1,e1)
| ~ spl8_82 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f9564,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f134,f632]) ).
fof(f15969,plain,
( spl8_80
| spl8_3
| spl8_1
| spl8_2
| ~ spl8_74
| ~ spl8_105
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f15911,f7324,f816,f634,f283,f278,f288,f675]) ).
fof(f675,plain,
( spl8_80
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_80])]) ).
fof(f7324,plain,
( spl8_126
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_126])]) ).
fof(f15911,plain,
( e0 = e2
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_74
| ~ spl8_105
| ~ spl8_126 ),
inference(forward_demodulation,[],[f15910,f818]) ).
fof(f15910,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_74
| ~ spl8_126 ),
inference(forward_demodulation,[],[f14267,f7326]) ).
fof(f7326,plain,
( e1 = op(e3,e2)
| ~ spl8_126 ),
inference(avatar_component_clause,[],[f7324]) ).
fof(f14267,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f149,f636]) ).
fof(f636,plain,
( e3 = op(e3,e1)
| ~ spl8_74 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f149,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15868,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_73
| ~ spl8_83
| ~ spl8_84
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f15827,f971,f693,f689,f630,f303,f298,f288]) ).
fof(f693,plain,
( spl8_84
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_84])]) ).
fof(f15827,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_73
| ~ spl8_83
| ~ spl8_84
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f15826]) ).
fof(f15826,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_73
| ~ spl8_83
| ~ spl8_84
| ~ spl8_108 ),
inference(forward_demodulation,[],[f15825,f694]) ).
fof(f694,plain,
( e2 = op(e0,e1)
| ~ spl8_84 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f15825,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_83
| ~ spl8_108 ),
inference(forward_demodulation,[],[f10838,f973]) ).
fof(f10838,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_83 ),
inference(forward_demodulation,[],[f9625,f690]) ).
fof(f9625,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f140,f632]) ).
fof(f140,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15806,plain,
( spl8_6
| ~ spl8_73
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f3785,f3323,f630,f303]) ).
fof(f3323,plain,
( spl8_119
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_119])]) ).
fof(f3785,plain,
( e2 = e3
| ~ spl8_73
| ~ spl8_119 ),
inference(superposition,[],[f3324,f632]) ).
fof(f3324,plain,
( e3 = op(e2,e1)
| ~ spl8_119 ),
inference(avatar_component_clause,[],[f3323]) ).
fof(f15668,plain,
( ~ spl8_85
| ~ spl8_92
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f15037,f1178,f732,f697]) ).
fof(f15037,plain,
( e3 != op(e2,e2)
| e1 != op(e3,e3)
| ~ spl8_116 ),
inference(trivial_inequality_removal,[],[f13146]) ).
fof(f13146,plain,
( e0 != e0
| e3 != op(e2,e2)
| e1 != op(e3,e3)
| ~ spl8_116 ),
inference(forward_demodulation,[],[f242,f1180]) ).
fof(f242,plain,
( e3 != op(e2,e2)
| e0 != op(e1,e3)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f241]) ).
fof(f241,plain,
( e3 != op(e2,e2)
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(inner_rewriting,[],[f211]) ).
fof(f211,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f15657,plain,
( spl8_92
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_12
| ~ spl8_93
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f15490,f797,f736,f330,f303,f298,f288,f732]) ).
fof(f797,plain,
( spl8_103
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_103])]) ).
fof(f15490,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| ~ spl8_12
| ~ spl8_93
| ~ spl8_103 ),
inference(forward_demodulation,[],[f14246,f799]) ).
fof(f799,plain,
( e2 = op(e0,e2)
| ~ spl8_103 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f14246,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_93 ),
inference(forward_demodulation,[],[f1964,f332]) ).
fof(f332,plain,
( e1 = op(e1,e2)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f1964,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_93 ),
inference(forward_demodulation,[],[f148,f737]) ).
fof(f15656,plain,
( spl8_9
| spl8_7
| ~ spl8_76
| ~ spl8_79 ),
inference(avatar_split_clause,[],[f204,f666,f648,f308,f317]) ).
fof(f308,plain,
( spl8_7
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f204,plain,
( e3 != op(e3,e3)
| e3 != op(e3,e2)
| sP7
| sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ( e3 != op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e2 = op(e2,e3) )
| sP7
| sP6 )
& ( ( e2 != op(e2,e3)
& e3 = op(e3,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| sP5
| sP4 )
& ( ( e1 != op(e1,e3)
& e3 = op(e3,e1) )
| ( e1 != op(e1,e2)
& e2 = op(e2,e1) )
| sP3
| sP2 )
& ( ( e0 != op(e0,e3)
& e3 = op(e3,e0) )
| ( e0 != op(e0,e2)
& e2 = op(e2,e0) )
| sP1
| sP0 ) ),
inference(definition_folding,[],[f5,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( e0 != op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f56,plain,
( ( e1 != op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f57,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
( ( e2 != op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f59,plain,
( ( e2 != op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f61,plain,
( ( e3 != op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f5,axiom,
( ( ( e3 != op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e2 = op(e2,e3) )
| ( e3 != op(e3,e1)
& e1 = op(e1,e3) )
| ( e3 != op(e3,e0)
& e0 = op(e0,e3) ) )
& ( ( e2 != op(e2,e3)
& e3 = op(e3,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e1 = op(e1,e2) )
| ( e2 != op(e2,e0)
& e0 = op(e0,e2) ) )
& ( ( e1 != op(e1,e3)
& e3 = op(e3,e1) )
| ( e1 != op(e1,e2)
& e2 = op(e2,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& e0 = op(e0,e1) ) )
& ( ( e0 != op(e0,e3)
& e3 = op(e3,e0) )
| ( e0 != op(e0,e2)
& e2 = op(e2,e0) )
| ( e0 != op(e0,e1)
& e1 = op(e1,e0) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f15655,plain,
( spl8_9
| spl8_7
| ~ spl8_76
| spl8_79 ),
inference(avatar_split_clause,[],[f202,f666,f648,f308,f317]) ).
fof(f202,plain,
( e3 = op(e3,e3)
| e3 != op(e3,e2)
| sP7
| sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f15638,plain,
( spl8_108
| spl8_5
| spl8_1
| ~ spl8_18
| ~ spl8_83
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f15626,f3323,f689,f357,f278,f298,f971]) ).
fof(f357,plain,
( spl8_18
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f15626,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_18
| ~ spl8_83
| ~ spl8_119 ),
inference(duplicate_literal_removal,[],[f15625]) ).
fof(f15625,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_18
| ~ spl8_83
| ~ spl8_119 ),
inference(forward_demodulation,[],[f15624,f359]) ).
fof(f359,plain,
( e0 = op(e0,e1)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f15624,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_83
| ~ spl8_119 ),
inference(forward_demodulation,[],[f12137,f690]) ).
fof(f12137,plain,
( e1 = e3
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_119 ),
inference(forward_demodulation,[],[f136,f3324]) ).
fof(f136,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15622,plain,
( spl8_119
| spl8_6
| spl8_3
| ~ spl8_18
| ~ spl8_83
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f15486,f965,f689,f357,f288,f303,f3323]) ).
fof(f965,plain,
( spl8_107
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_107])]) ).
fof(f15486,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl8_18
| ~ spl8_83
| ~ spl8_107 ),
inference(duplicate_literal_removal,[],[f15485]) ).
fof(f15485,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl8_18
| ~ spl8_83
| ~ spl8_107 ),
inference(forward_demodulation,[],[f14499,f690]) ).
fof(f14499,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl8_18
| ~ spl8_107 ),
inference(forward_demodulation,[],[f6261,f967]) ).
fof(f967,plain,
( e2 = op(e3,e1)
| ~ spl8_107 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f6261,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| ~ spl8_18 ),
inference(forward_demodulation,[],[f140,f359]) ).
fof(f15621,plain,
( spl8_9
| spl8_7
| ~ spl8_76
| spl8_5
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f12688,f697,f298,f648,f308,f317]) ).
fof(f12688,plain,
( e1 = e3
| e3 != op(e3,e2)
| sP7
| sP6
| ~ spl8_85 ),
inference(forward_demodulation,[],[f202,f698]) ).
fof(f15619,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_8
| ~ spl8_12
| ~ spl8_83
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f15514,f812,f689,f330,f312,f303,f288,f298]) ).
fof(f812,plain,
( spl8_104
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_104])]) ).
fof(f15514,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_8
| ~ spl8_12
| ~ spl8_83
| ~ spl8_104 ),
inference(forward_demodulation,[],[f15513,f814]) ).
fof(f814,plain,
( e2 = op(e1,e0)
| ~ spl8_104 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f15513,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_12
| ~ spl8_83 ),
inference(forward_demodulation,[],[f13350,f690]) ).
fof(f13350,plain,
( e1 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_12 ),
inference(duplicate_literal_removal,[],[f3682]) ).
fof(f3682,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_12 ),
inference(forward_demodulation,[],[f3612,f332]) ).
fof(f3612,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f139,f314]) ).
fof(f15434,plain,
( spl8_9
| spl8_7
| spl8_5
| ~ spl8_76
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f14550,f697,f648,f298,f308,f317]) ).
fof(f14550,plain,
( e1 = e3
| sP7
| sP6
| ~ spl8_76
| ~ spl8_85 ),
inference(trivial_inequality_removal,[],[f12684]) ).
fof(f12684,plain,
( e3 != e3
| e1 = e3
| sP7
| sP6
| ~ spl8_76
| ~ spl8_85 ),
inference(forward_demodulation,[],[f2081,f650]) ).
fof(f2081,plain,
( e1 = e3
| e3 != op(e3,e2)
| sP7
| sP6
| ~ spl8_85 ),
inference(forward_demodulation,[],[f202,f698]) ).
fof(f15289,plain,
( spl8_89
| spl8_126
| spl8_4
| spl8_1
| ~ spl8_14
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f10006,f1189,f339,f278,f293,f7324,f718]) ).
fof(f10006,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl8_14
| ~ spl8_117 ),
inference(forward_demodulation,[],[f10005,f341]) ).
fof(f10005,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| ~ spl8_117 ),
inference(forward_demodulation,[],[f144,f1191]) ).
fof(f15279,plain,
( spl8_16
| spl8_108
| spl8_4
| spl8_5
| ~ spl8_73
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f6984,f986,f630,f298,f293,f971,f348]) ).
fof(f348,plain,
( spl8_16
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f986,plain,
( spl8_110
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_110])]) ).
fof(f6984,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| ~ spl8_73
| ~ spl8_110 ),
inference(forward_demodulation,[],[f6983,f988]) ).
fof(f988,plain,
( e3 = op(e0,e1)
| ~ spl8_110 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f6983,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f136,f632]) ).
fof(f15264,plain,
( spl8_80
| spl8_2
| spl8_3
| spl8_1
| ~ spl8_78
| ~ spl8_101
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f15255,f3329,f786,f662,f278,f288,f283,f675]) ).
fof(f662,plain,
( spl8_78
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_78])]) ).
fof(f786,plain,
( spl8_101
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_101])]) ).
fof(f15255,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_78
| ~ spl8_101
| ~ spl8_120 ),
inference(forward_demodulation,[],[f3399,f788]) ).
fof(f788,plain,
( e1 = op(e0,e3)
| ~ spl8_101 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f3399,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl8_78
| ~ spl8_120 ),
inference(forward_demodulation,[],[f3253,f3331]) ).
fof(f3253,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl8_78 ),
inference(forward_demodulation,[],[f150,f664]) ).
fof(f664,plain,
( e2 = op(e2,e3)
| ~ spl8_78 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f150,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15252,plain,
( spl8_120
| spl8_79
| spl8_6
| spl8_5
| ~ spl8_78
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f6908,f786,f662,f298,f303,f666,f3329]) ).
fof(f6908,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl8_78
| ~ spl8_101 ),
inference(forward_demodulation,[],[f2153,f788]) ).
fof(f2153,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_78 ),
inference(forward_demodulation,[],[f156,f664]) ).
fof(f15233,plain,
( spl8_1
| ~ spl8_14
| ~ spl8_73
| ~ spl8_101
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f15230,f3323,f786,f630,f339,f278]) ).
fof(f15230,plain,
( e0 = e1
| ~ spl8_14
| ~ spl8_73
| ~ spl8_101
| ~ spl8_119 ),
inference(forward_demodulation,[],[f15229,f341]) ).
fof(f15229,plain,
( e1 = op(e0,e2)
| ~ spl8_73
| ~ spl8_101
| ~ spl8_119 ),
inference(forward_demodulation,[],[f788,f3785]) ).
fof(f15197,plain,
( spl8_116
| spl8_2
| spl8_3
| spl8_1
| ~ spl8_20
| ~ spl8_82
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f11009,f1189,f683,f366,f278,f288,f283,f1178]) ).
fof(f11009,plain,
( e0 = e1
| e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| ~ spl8_20
| ~ spl8_82
| ~ spl8_117 ),
inference(forward_demodulation,[],[f4257,f368]) ).
fof(f4257,plain,
( e0 = e3
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl8_82
| ~ spl8_117 ),
inference(forward_demodulation,[],[f3959,f684]) ).
fof(f3959,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl8_117 ),
inference(forward_demodulation,[],[f133,f1191]) ).
fof(f133,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15119,plain,
( spl8_114
| spl8_106
| spl8_2
| spl8_3
| ~ spl8_88
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f1722,f986,f712,f288,f283,f859,f1162]) ).
fof(f1162,plain,
( spl8_114
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_114])]) ).
fof(f712,plain,
( spl8_88
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_88])]) ).
fof(f1722,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl8_88
| ~ spl8_110 ),
inference(forward_demodulation,[],[f1685,f988]) ).
fof(f1685,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f134,f713]) ).
fof(f713,plain,
( e2 = op(e1,e1)
| ~ spl8_88 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f15106,plain,
( spl8_79
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_78
| ~ spl8_101
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f15081,f1178,f786,f662,f288,f303,f298,f666]) ).
fof(f15081,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| ~ spl8_78
| ~ spl8_101
| ~ spl8_116 ),
inference(forward_demodulation,[],[f15080,f1180]) ).
fof(f15080,plain,
( e2 = e3
| e1 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| ~ spl8_78
| ~ spl8_101 ),
inference(forward_demodulation,[],[f6826,f664]) ).
fof(f6826,plain,
( e1 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_101 ),
inference(forward_demodulation,[],[f156,f788]) ).
fof(f15102,plain,
( spl8_85
| spl8_5
| spl8_4
| spl8_1
| ~ spl8_74
| ~ spl8_98
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f15061,f5626,f768,f634,f278,f293,f298,f697]) ).
fof(f5626,plain,
( spl8_124
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_124])]) ).
fof(f15061,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_74
| ~ spl8_98
| ~ spl8_124 ),
inference(forward_demodulation,[],[f14081,f770]) ).
fof(f14081,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_74
| ~ spl8_124 ),
inference(forward_demodulation,[],[f1810,f5628]) ).
fof(f5628,plain,
( e2 = op(e3,e2)
| ~ spl8_124 ),
inference(avatar_component_clause,[],[f5626]) ).
fof(f1810,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f151,f636]) ).
fof(f15098,plain,
( spl8_108
| spl8_4
| spl8_5
| spl8_1
| ~ spl8_88
| ~ spl8_110
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f12897,f1162,f986,f712,f278,f298,f293,f971]) ).
fof(f12897,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_88
| ~ spl8_110
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1728,f1164]) ).
fof(f1164,plain,
( e0 = op(e2,e1)
| ~ spl8_114 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1728,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl8_88
| ~ spl8_110 ),
inference(forward_demodulation,[],[f1688,f988]) ).
fof(f1688,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f136,f713]) ).
fof(f15097,plain,
( ~ spl8_85
| ~ spl8_88
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f14923,f1162,f712,f697]) ).
fof(f14923,plain,
( e1 != op(e3,e3)
| ~ spl8_88
| ~ spl8_114 ),
inference(trivial_inequality_removal,[],[f12979]) ).
fof(f12979,plain,
( e0 != e0
| e1 != op(e3,e3)
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f12209,f1164]) ).
fof(f12209,plain,
( e1 != op(e3,e3)
| e0 != op(e2,e1)
| ~ spl8_88 ),
inference(trivial_inequality_removal,[],[f1984]) ).
fof(f1984,plain,
( e2 != e2
| e1 != op(e3,e3)
| e0 != op(e2,e1)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f256,f713]) ).
fof(f256,plain,
( e1 != op(e3,e3)
| e0 != op(e2,e1)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f255]) ).
fof(f255,plain,
( e1 != op(e3,e3)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f218]) ).
fof(f218,plain,
( e1 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e1 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f15056,plain,
( spl8_114
| spl8_106
| spl8_2
| spl8_1
| ~ spl8_88
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f14992,f778,f712,f278,f283,f859,f1162]) ).
fof(f14992,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| ~ spl8_88
| ~ spl8_99 ),
inference(forward_demodulation,[],[f14991,f780]) ).
fof(f14991,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f134,f713]) ).
fof(f15055,plain,
( ~ spl8_77
| spl8_47
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f11759,f778,f500,f656]) ).
fof(f656,plain,
( spl8_77
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_77])]) ).
fof(f500,plain,
( spl8_47
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_47])]) ).
fof(f11759,plain,
( op(e0,e0) != e1
| spl8_47
| ~ spl8_99 ),
inference(superposition,[],[f502,f780]) ).
fof(f502,plain,
( op(e0,e0) != op(e0,e1)
| spl8_47 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f15048,plain,
( spl8_122
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_20
| ~ spl8_88
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f14957,f1178,f712,f366,f298,f288,f303,f5015]) ).
fof(f14957,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl8_20
| ~ spl8_88
| ~ spl8_116 ),
inference(forward_demodulation,[],[f13161,f368]) ).
fof(f13161,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_88
| ~ spl8_116 ),
inference(forward_demodulation,[],[f11236,f1180]) ).
fof(f11236,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f139,f713]) ).
fof(f15036,plain,
( spl8_92
| spl8_6
| spl8_3
| ~ spl8_14
| ~ spl8_90
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f15026,f5626,f722,f339,f288,f303,f732]) ).
fof(f15026,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl8_14
| ~ spl8_90
| ~ spl8_124 ),
inference(duplicate_literal_removal,[],[f15025]) ).
fof(f15025,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl8_14
| ~ spl8_90
| ~ spl8_124 ),
inference(forward_demodulation,[],[f15024,f341]) ).
fof(f15024,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_90
| ~ spl8_124 ),
inference(forward_demodulation,[],[f11447,f723]) ).
fof(f11447,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_124 ),
inference(forward_demodulation,[],[f148,f5628]) ).
fof(f15023,plain,
( spl8_124
| spl8_4
| spl8_6
| spl8_2
| ~ spl8_74
| ~ spl8_85
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f14997,f768,f697,f634,f283,f303,f293,f5626]) ).
fof(f14997,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl8_74
| ~ spl8_85
| ~ spl8_98 ),
inference(forward_demodulation,[],[f14996,f770]) ).
fof(f14996,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_85 ),
inference(forward_demodulation,[],[f13271,f636]) ).
fof(f13271,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_85 ),
inference(forward_demodulation,[],[f153,f698]) ).
fof(f15011,plain,
( spl8_73
| ~ spl8_78
| ~ spl8_79
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f6731,f697,f666,f662,f630]) ).
fof(f6731,plain,
( e2 = op(e2,e1)
| ~ spl8_78
| ~ spl8_79
| ~ spl8_85 ),
inference(forward_demodulation,[],[f664,f1882]) ).
fof(f1882,plain,
( e1 = e3
| ~ spl8_79
| ~ spl8_85 ),
inference(superposition,[],[f698,f668]) ).
fof(f14988,plain,
( spl8_8
| spl8_85
| spl8_5
| spl8_4
| ~ spl8_78
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f13991,f990,f662,f293,f298,f697,f312]) ).
fof(f990,plain,
( spl8_111
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_111])]) ).
fof(f13991,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl8_78
| ~ spl8_111 ),
inference(forward_demodulation,[],[f7349,f664]) ).
fof(f7349,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl8_111 ),
inference(forward_demodulation,[],[f152,f992]) ).
fof(f992,plain,
( e3 = op(e0,e3)
| ~ spl8_111 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f14979,plain,
( spl8_85
| spl8_4
| spl8_1
| spl8_5
| ~ spl8_78
| ~ spl8_111
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f14956,f1178,f990,f662,f298,f278,f293,f697]) ).
fof(f14956,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl8_78
| ~ spl8_111
| ~ spl8_116 ),
inference(forward_demodulation,[],[f13316,f992]) ).
fof(f13316,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl8_78
| ~ spl8_116 ),
inference(forward_demodulation,[],[f2158,f1180]) ).
fof(f2158,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl8_78 ),
inference(forward_demodulation,[],[f152,f664]) ).
fof(f14973,plain,
( spl8_112
| spl8_4
| spl8_5
| spl8_1
| ~ spl8_75
| ~ spl8_114
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f14950,f3971,f1162,f644,f278,f298,f293,f1113]) ).
fof(f14950,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| ~ spl8_75
| ~ spl8_114
| ~ spl8_121 ),
inference(forward_demodulation,[],[f11739,f1164]) ).
fof(f11739,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl8_75
| ~ spl8_121 ),
inference(forward_demodulation,[],[f9589,f3973]) ).
fof(f9589,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f143,f646]) ).
fof(f646,plain,
( e2 = op(e2,e2)
| ~ spl8_75 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f14951,plain,
( spl8_76
| spl8_6
| spl8_3
| ~ spl8_14
| ~ spl8_75
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f14948,f722,f644,f339,f288,f303,f648]) ).
fof(f14948,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl8_14
| ~ spl8_75
| ~ spl8_90 ),
inference(duplicate_literal_removal,[],[f14947]) ).
fof(f14947,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| ~ spl8_14
| ~ spl8_75
| ~ spl8_90 ),
inference(forward_demodulation,[],[f14899,f723]) ).
fof(f14899,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| ~ spl8_14
| ~ spl8_75 ),
inference(forward_demodulation,[],[f14898,f341]) ).
fof(f14898,plain,
( e2 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f148,f646]) ).
fof(f14945,plain,
( spl8_112
| spl8_4
| spl8_5
| ~ spl8_75
| ~ spl8_119
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f14926,f3971,f3323,f644,f298,f293,f1113]) ).
fof(f14926,plain,
( e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| ~ spl8_75
| ~ spl8_119
| ~ spl8_121 ),
inference(duplicate_literal_removal,[],[f14925]) ).
fof(f14925,plain,
( e1 = e3
| e1 = e3
| e1 = e2
| e1 = op(e2,e3)
| ~ spl8_75
| ~ spl8_119
| ~ spl8_121 ),
inference(forward_demodulation,[],[f11739,f3324]) ).
fof(f14922,plain,
( spl8_121
| spl8_5
| spl8_3
| spl8_6
| ~ spl8_20
| ~ spl8_98
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f14767,f793,f768,f366,f303,f288,f298,f3971]) ).
fof(f14767,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl8_20
| ~ spl8_98
| ~ spl8_102 ),
inference(forward_demodulation,[],[f14766,f795]) ).
fof(f14766,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl8_20
| ~ spl8_98 ),
inference(forward_demodulation,[],[f10594,f770]) ).
fof(f10594,plain,
( e1 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl8_20 ),
inference(forward_demodulation,[],[f132,f368]) ).
fof(f132,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f14910,plain,
( spl8_114
| spl8_115
| spl8_2
| spl8_3
| ~ spl8_75
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f11737,f3971,f644,f288,f283,f1166,f1162]) ).
fof(f11737,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl8_75
| ~ spl8_121 ),
inference(forward_demodulation,[],[f1235,f3973]) ).
fof(f1235,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f141,f646]) ).
fof(f14904,plain,
( spl8_90
| spl8_116
| spl8_2
| spl8_1
| ~ spl8_20
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f5703,f712,f366,f278,f283,f1178,f722]) ).
fof(f5703,plain,
( e0 = e1
| e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| ~ spl8_20
| ~ spl8_88 ),
inference(forward_demodulation,[],[f1761,f368]) ).
fof(f1761,plain,
( e0 = e2
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f133,f713]) ).
fof(f14897,plain,
( spl8_91
| spl8_6
| spl8_4
| spl8_2
| ~ spl8_74
| ~ spl8_98
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f14746,f7324,f768,f634,f283,f293,f303,f726]) ).
fof(f14746,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl8_74
| ~ spl8_98
| ~ spl8_126 ),
inference(forward_demodulation,[],[f14640,f770]) ).
fof(f14640,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_126 ),
inference(forward_demodulation,[],[f12517,f7326]) ).
fof(f12517,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f153,f636]) ).
fof(f14887,plain,
( spl8_121
| spl8_119
| spl8_6
| ~ spl8_75
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f14865,f662,f644,f303,f3323,f3971]) ).
fof(f14865,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_78 ),
inference(duplicate_literal_removal,[],[f14864]) ).
fof(f14864,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_78 ),
inference(forward_demodulation,[],[f11385,f646]) ).
fof(f11385,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_78 ),
inference(forward_demodulation,[],[f147,f664]) ).
fof(f147,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f14834,plain,
( spl8_13
| spl8_11
| ~ spl8_75
| spl8_76 ),
inference(avatar_split_clause,[],[f198,f648,f644,f326,f335]) ).
fof(f335,plain,
( spl8_13
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f326,plain,
( spl8_11
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f198,plain,
( e3 = op(e3,e2)
| e2 != op(e2,e2)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f62]) ).
fof(f14820,plain,
( spl8_93
| spl8_2
| spl8_3
| ~ spl8_75
| ~ spl8_87
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f14808,f5015,f708,f644,f288,f283,f736]) ).
fof(f708,plain,
( spl8_87
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_87])]) ).
fof(f14808,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl8_75
| ~ spl8_87
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f14807]) ).
fof(f14807,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl8_75
| ~ spl8_87
| ~ spl8_122 ),
inference(forward_demodulation,[],[f11781,f709]) ).
fof(f709,plain,
( e3 = op(e0,e2)
| ~ spl8_87 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f11781,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_75
| ~ spl8_122 ),
inference(forward_demodulation,[],[f8178,f646]) ).
fof(f8178,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl8_122 ),
inference(forward_demodulation,[],[f142,f5016]) ).
fof(f142,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f14800,plain,
( spl8_122
| spl8_5
| spl8_6
| ~ spl8_20
| ~ spl8_88
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f14764,f1193,f712,f366,f303,f298,f5015]) ).
fof(f14764,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl8_20
| ~ spl8_88
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f14763]) ).
fof(f14763,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl8_20
| ~ spl8_88
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14047,f713]) ).
fof(f14734,plain,
( spl8_86
| spl8_93
| spl8_1
| spl8_3
| ~ spl8_12
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f14642,f708,f330,f288,f278,f736,f704]) ).
fof(f14642,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl8_12
| ~ spl8_87 ),
inference(forward_demodulation,[],[f14269,f709]) ).
fof(f14269,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f142,f332]) ).
fof(f14721,plain,
( spl8_79
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_10
| ~ spl8_112
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f14652,f1193,f1113,f321,f298,f288,f303,f666]) ).
fof(f14652,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl8_10
| ~ spl8_112
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14350,f1114]) ).
fof(f14350,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| ~ spl8_10
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14349,f323]) ).
fof(f14349,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_118 ),
inference(forward_demodulation,[],[f156,f1195]) ).
fof(f14713,plain,
( spl8_75
| spl8_6
| spl8_4
| ~ spl8_12
| ~ spl8_87
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f14644,f7324,f708,f330,f293,f303,f644]) ).
fof(f14644,plain,
( e1 = e2
| e2 = e3
| e2 = op(e2,e2)
| ~ spl8_12
| ~ spl8_87
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f14643]) ).
fof(f14643,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e2)
| ~ spl8_12
| ~ spl8_87
| ~ spl8_126 ),
inference(forward_demodulation,[],[f8191,f7326]) ).
fof(f8191,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl8_12
| ~ spl8_87 ),
inference(forward_demodulation,[],[f3101,f709]) ).
fof(f3101,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f146,f332]) ).
fof(f14711,plain,
( ~ spl8_96
| spl8_27
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f10394,f768,f400,f760]) ).
fof(f760,plain,
( spl8_96
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_96])]) ).
fof(f400,plain,
( spl8_27
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
fof(f10394,plain,
( e0 != op(e1,e0)
| spl8_27
| ~ spl8_98 ),
inference(superposition,[],[f402,f770]) ).
fof(f402,plain,
( op(e1,e0) != op(e3,e0)
| spl8_27 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f14708,plain,
( spl8_108
| spl8_4
| spl8_1
| ~ spl8_83
| ~ spl8_84
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f14630,f1162,f693,f689,f278,f293,f971]) ).
fof(f14630,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_83
| ~ spl8_84
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f14629]) ).
fof(f14629,plain,
( e0 = e1
| e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_83
| ~ spl8_84
| ~ spl8_114 ),
inference(forward_demodulation,[],[f5365,f1164]) ).
fof(f5365,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl8_83
| ~ spl8_84 ),
inference(forward_demodulation,[],[f3095,f694]) ).
fof(f3095,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl8_83 ),
inference(forward_demodulation,[],[f136,f690]) ).
fof(f14583,plain,
( spl8_82
| spl8_3
| spl8_6
| spl8_5
| ~ spl8_18
| ~ spl8_107
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f14500,f1142,f965,f357,f298,f303,f288,f683]) ).
fof(f1142,plain,
( spl8_113
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_113])]) ).
fof(f14500,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e1)
| ~ spl8_18
| ~ spl8_107
| ~ spl8_113 ),
inference(forward_demodulation,[],[f14499,f1144]) ).
fof(f1144,plain,
( e1 = op(e2,e1)
| ~ spl8_113 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f14568,plain,
( spl8_125
| spl8_5
| spl8_6
| ~ spl8_8
| ~ spl8_81
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f14554,f697,f679,f312,f303,f298,f6616]) ).
fof(f14554,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl8_8
| ~ spl8_81
| ~ spl8_85 ),
inference(forward_demodulation,[],[f14553,f680]) ).
fof(f14553,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_85 ),
inference(duplicate_literal_removal,[],[f14552]) ).
fof(f14552,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_85 ),
inference(forward_demodulation,[],[f12698,f314]) ).
fof(f12698,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_85 ),
inference(forward_demodulation,[],[f156,f698]) ).
fof(f14547,plain,
( spl8_85
| spl8_1
| spl8_5
| spl8_4
| ~ spl8_76
| ~ spl8_98
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f13797,f965,f768,f648,f293,f298,f278,f697]) ).
fof(f13797,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_76
| ~ spl8_98
| ~ spl8_107 ),
inference(forward_demodulation,[],[f13796,f967]) ).
fof(f13796,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl8_76
| ~ spl8_98 ),
inference(forward_demodulation,[],[f12887,f650]) ).
fof(f12887,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl8_98 ),
inference(forward_demodulation,[],[f151,f770]) ).
fof(f14491,plain,
( spl8_80
| spl8_3
| spl8_2
| spl8_1
| ~ spl8_76
| ~ spl8_95
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f13693,f965,f749,f648,f278,f283,f288,f675]) ).
fof(f749,plain,
( spl8_95
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_95])]) ).
fof(f13693,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_76
| ~ spl8_95
| ~ spl8_107 ),
inference(forward_demodulation,[],[f13692,f751]) ).
fof(f751,plain,
( e1 = op(e3,e0)
| ~ spl8_95 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f13692,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_76
| ~ spl8_107 ),
inference(forward_demodulation,[],[f1755,f967]) ).
fof(f1755,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl8_76 ),
inference(forward_demodulation,[],[f149,f650]) ).
fof(f14398,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_71
| ~ spl8_75
| ~ spl8_112
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f14376,f1162,f1113,f644,f620,f303,f288,f298]) ).
fof(f620,plain,
( spl8_71
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_71])]) ).
fof(f14376,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_71
| ~ spl8_75
| ~ spl8_112
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f14375]) ).
fof(f14375,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_71
| ~ spl8_75
| ~ spl8_112
| ~ spl8_114 ),
inference(forward_demodulation,[],[f14374,f622]) ).
fof(f622,plain,
( e2 = op(e2,e0)
| ~ spl8_71 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f14374,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_112
| ~ spl8_114 ),
inference(forward_demodulation,[],[f14373,f1164]) ).
fof(f14373,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_112 ),
inference(forward_demodulation,[],[f9617,f1114]) ).
fof(f9617,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f147,f646]) ).
fof(f14327,plain,
( spl8_80
| spl8_3
| spl8_1
| ~ spl8_74
| ~ spl8_76
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f14297,f749,f648,f634,f278,f288,f675]) ).
fof(f14297,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_74
| ~ spl8_76
| ~ spl8_95 ),
inference(forward_demodulation,[],[f12619,f751]) ).
fof(f12619,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(duplicate_literal_removal,[],[f12618]) ).
fof(f12618,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f12359,f636]) ).
fof(f12359,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| ~ spl8_76 ),
inference(forward_demodulation,[],[f149,f650]) ).
fof(f14278,plain,
( spl8_92
| spl8_76
| spl8_5
| ~ spl8_12
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f14260,f782,f330,f298,f648,f732]) ).
fof(f14260,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f14259]) ).
fof(f14259,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100 ),
inference(forward_demodulation,[],[f14258,f784]) ).
fof(f14258,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f148,f332]) ).
fof(f14270,plain,
( spl8_125
| spl8_6
| spl8_3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f14220,f1193,f726,f321,f288,f303,f6616]) ).
fof(f14220,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl8_10
| ~ spl8_91
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14219,f323]) ).
fof(f14219,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f14218]) ).
fof(f14218,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14213,f1195]) ).
fof(f14213,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_91 ),
inference(forward_demodulation,[],[f156,f727]) ).
fof(f14257,plain,
( spl8_75
| spl8_2
| spl8_4
| ~ spl8_12
| ~ spl8_93
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f14117,f782,f736,f330,f293,f283,f644]) ).
fof(f14117,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e2)
| ~ spl8_12
| ~ spl8_93
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f14116]) ).
fof(f14116,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| ~ spl8_12
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f2248,f332]) ).
fof(f2248,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1764,f737]) ).
fof(f1764,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| ~ spl8_100 ),
inference(forward_demodulation,[],[f146,f784]) ).
fof(f14242,plain,
( spl8_6
| spl8_2
| spl8_4
| ~ spl8_12
| ~ spl8_92
| ~ spl8_93
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f14238,f782,f736,f732,f330,f293,f283,f303]) ).
fof(f14238,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_12
| ~ spl8_92
| ~ spl8_93
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f14237]) ).
fof(f14237,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_12
| ~ spl8_92
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f14236,f784]) ).
fof(f14236,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e0,e2)
| ~ spl8_12
| ~ spl8_92
| ~ spl8_93 ),
inference(forward_demodulation,[],[f13905,f737]) ).
fof(f13905,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_12
| ~ spl8_92 ),
inference(forward_demodulation,[],[f3101,f733]) ).
fof(f14217,plain,
( spl8_3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_93
| ~ spl8_118
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f14191,f5626,f1193,f736,f726,f321,f288]) ).
fof(f14191,plain,
( e0 = e3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_93
| ~ spl8_118
| ~ spl8_124 ),
inference(duplicate_literal_removal,[],[f14190]) ).
fof(f14190,plain,
( e0 = e3
| e0 = e3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_93
| ~ spl8_118
| ~ spl8_124 ),
inference(forward_demodulation,[],[f14189,f14172]) ).
fof(f14172,plain,
( e0 = e2
| ~ spl8_93
| ~ spl8_124 ),
inference(superposition,[],[f737,f5628]) ).
fof(f14189,plain,
( e2 = e3
| e0 = e3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_93
| ~ spl8_118
| ~ spl8_124 ),
inference(forward_demodulation,[],[f14188,f1195]) ).
fof(f14188,plain,
( e0 = e3
| e3 = op(e1,e3)
| ~ spl8_10
| ~ spl8_91
| ~ spl8_93
| ~ spl8_124 ),
inference(duplicate_literal_removal,[],[f14187]) ).
fof(f14187,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl8_10
| ~ spl8_91
| ~ spl8_93
| ~ spl8_124 ),
inference(forward_demodulation,[],[f14186,f323]) ).
fof(f14186,plain,
( e3 = op(e0,e3)
| e0 = e3
| e3 = op(e1,e3)
| ~ spl8_91
| ~ spl8_93
| ~ spl8_124 ),
inference(duplicate_literal_removal,[],[f14185]) ).
fof(f14185,plain,
( e3 = op(e0,e3)
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_93
| ~ spl8_124 ),
inference(forward_demodulation,[],[f14184,f14172]) ).
fof(f14184,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_93
| ~ spl8_124 ),
inference(forward_demodulation,[],[f2383,f14172]) ).
fof(f2383,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_91 ),
inference(forward_demodulation,[],[f156,f727]) ).
fof(f14181,plain,
( spl8_6
| spl8_3
| ~ spl8_10
| ~ spl8_78
| ~ spl8_91
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f14126,f1193,f726,f662,f321,f288,f303]) ).
fof(f14126,plain,
( e0 = e3
| e2 = e3
| ~ spl8_10
| ~ spl8_78
| ~ spl8_91
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14125,f323]) ).
fof(f14125,plain,
( e2 = e3
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_91
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f14124]) ).
fof(f14124,plain,
( e2 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_91
| ~ spl8_118 ),
inference(forward_demodulation,[],[f5347,f664]) ).
fof(f5347,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f3097]) ).
fof(f3097,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2383,f1195]) ).
fof(f14105,plain,
( spl8_93
| spl8_1
| spl8_3
| ~ spl8_12
| ~ spl8_92
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f13998,f782,f732,f330,f288,f278,f736]) ).
fof(f13998,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_12
| ~ spl8_92
| ~ spl8_100 ),
inference(forward_demodulation,[],[f3481,f733]) ).
fof(f3481,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f1993]) ).
fof(f1993,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1763,f332]) ).
fof(f1763,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl8_100 ),
inference(forward_demodulation,[],[f142,f784]) ).
fof(f14074,plain,
( spl8_6
| spl8_5
| spl8_3
| ~ spl8_12
| ~ spl8_20
| ~ spl8_83
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f14050,f1193,f689,f366,f330,f288,f298,f303]) ).
fof(f14050,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_12
| ~ spl8_20
| ~ spl8_83
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14049,f690]) ).
fof(f14049,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl8_12
| ~ spl8_20
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f14048]) ).
fof(f14048,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl8_12
| ~ spl8_20
| ~ spl8_118 ),
inference(forward_demodulation,[],[f14047,f332]) ).
fof(f14015,plain,
( spl8_109
| spl8_6
| spl8_3
| ~ spl8_71
| ~ spl8_98
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f13992,f812,f768,f620,f288,f303,f982]) ).
fof(f13992,plain,
( e0 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_98
| ~ spl8_104 ),
inference(forward_demodulation,[],[f13379,f770]) ).
fof(f13379,plain,
( e2 = e3
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f13378]) ).
fof(f13378,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e0)
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_104 ),
inference(forward_demodulation,[],[f6376,f622]) ).
fof(f6376,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl8_104 ),
inference(forward_demodulation,[],[f132,f814]) ).
fof(f13968,plain,
( spl8_93
| spl8_1
| spl8_3
| ~ spl8_12
| ~ spl8_87
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f13903,f732,f708,f330,f288,f278,f736]) ).
fof(f13903,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_12
| ~ spl8_87
| ~ spl8_92 ),
inference(duplicate_literal_removal,[],[f13902]) ).
fof(f13902,plain,
( e0 = e3
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_12
| ~ spl8_87
| ~ spl8_92 ),
inference(forward_demodulation,[],[f11402,f733]) ).
fof(f11402,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl8_12
| ~ spl8_87 ),
inference(forward_demodulation,[],[f8264,f709]) ).
fof(f8264,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f142,f332]) ).
fof(f13959,plain,
( spl8_124
| spl8_4
| spl8_6
| ~ spl8_12
| ~ spl8_87
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f13900,f732,f708,f330,f303,f293,f5626]) ).
fof(f13900,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl8_12
| ~ spl8_87
| ~ spl8_92 ),
inference(duplicate_literal_removal,[],[f13899]) ).
fof(f13899,plain,
( e2 = e3
| e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| ~ spl8_12
| ~ spl8_87
| ~ spl8_92 ),
inference(forward_demodulation,[],[f8191,f733]) ).
fof(f13842,plain,
( spl8_89
| spl8_126
| spl8_4
| ~ spl8_103
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f13572,f1189,f797,f293,f7324,f718]) ).
fof(f13572,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl8_103
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f13571]) ).
fof(f13571,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| ~ spl8_103
| ~ spl8_117 ),
inference(forward_demodulation,[],[f10005,f799]) ).
fof(f13777,plain,
( spl8_115
| spl8_3
| spl8_2
| ~ spl8_71
| ~ spl8_73
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f13679,f732,f630,f620,f283,f288,f1166]) ).
fof(f13679,plain,
( e0 = e2
| e0 = e3
| e0 = op(e2,e3)
| ~ spl8_71
| ~ spl8_73
| ~ spl8_92 ),
inference(duplicate_literal_removal,[],[f13678]) ).
fof(f13678,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| ~ spl8_71
| ~ spl8_73
| ~ spl8_92 ),
inference(forward_demodulation,[],[f13677,f622]) ).
fof(f13677,plain,
( e0 = e3
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_73
| ~ spl8_92 ),
inference(forward_demodulation,[],[f1616,f733]) ).
fof(f13760,plain,
( spl8_93
| spl8_3
| spl8_2
| ~ spl8_92
| ~ spl8_103
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f8664,f1189,f797,f732,f283,f288,f736]) ).
fof(f8664,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl8_92
| ~ spl8_103
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f8663]) ).
fof(f8663,plain,
( e0 = e2
| e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl8_92
| ~ spl8_103
| ~ spl8_117 ),
inference(forward_demodulation,[],[f8662,f799]) ).
fof(f8662,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_92
| ~ spl8_117 ),
inference(forward_demodulation,[],[f1617,f733]) ).
fof(f1617,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl8_117 ),
inference(forward_demodulation,[],[f142,f1191]) ).
fof(f13674,plain,
( spl8_3
| ~ spl8_82
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f7504,f689,f683,f288]) ).
fof(f7504,plain,
( e0 = e3
| ~ spl8_82
| ~ spl8_83 ),
inference(superposition,[],[f690,f684]) ).
fof(f13511,plain,
( spl8_6
| ~ spl8_104
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f6287,f5618,f812,f303]) ).
fof(f5618,plain,
( spl8_123
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_123])]) ).
fof(f6287,plain,
( e2 = e3
| ~ spl8_104
| ~ spl8_123 ),
inference(superposition,[],[f814,f5620]) ).
fof(f5620,plain,
( e3 = op(e1,e0)
| ~ spl8_123 ),
inference(avatar_component_clause,[],[f5618]) ).
fof(f13348,plain,
( spl8_85
| spl8_1
| spl8_4
| ~ spl8_78
| ~ spl8_81
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f13318,f1178,f679,f662,f293,f278,f697]) ).
fof(f13318,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f13317]) ).
fof(f13317,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_116 ),
inference(forward_demodulation,[],[f13316,f680]) ).
fof(f13335,plain,
( spl8_79
| spl8_3
| spl8_6
| ~ spl8_78
| ~ spl8_81
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f13315,f1178,f679,f662,f303,f288,f666]) ).
fof(f13315,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f13314]) ).
fof(f13314,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_116 ),
inference(forward_demodulation,[],[f13313,f680]) ).
fof(f13313,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_116 ),
inference(forward_demodulation,[],[f2153,f1180]) ).
fof(f13312,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_78
| ~ spl8_81
| ~ spl8_85
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f13281,f1178,f697,f679,f662,f303,f288,f298]) ).
fof(f13281,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_78
| ~ spl8_81
| ~ spl8_85
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f13280]) ).
fof(f13280,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_78
| ~ spl8_81
| ~ spl8_85
| ~ spl8_116 ),
inference(forward_demodulation,[],[f13181,f680]) ).
fof(f13181,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_85
| ~ spl8_116 ),
inference(forward_demodulation,[],[f13180,f1180]) ).
fof(f13180,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_85 ),
inference(forward_demodulation,[],[f2153,f698]) ).
fof(f13257,plain,
( spl8_20
| spl8_1
| spl8_4
| ~ spl8_71
| ~ spl8_98
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f10121,f793,f768,f620,f293,f278,f366]) ).
fof(f10121,plain,
( e1 = e2
| e0 = e1
| e1 = op(e1,e0)
| ~ spl8_71
| ~ spl8_98
| ~ spl8_102 ),
inference(duplicate_literal_removal,[],[f10120]) ).
fof(f10120,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e1,e0)
| ~ spl8_71
| ~ spl8_98
| ~ spl8_102 ),
inference(forward_demodulation,[],[f5284,f795]) ).
fof(f5284,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl8_71
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1130,f770]) ).
fof(f1130,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl8_71 ),
inference(forward_demodulation,[],[f128,f622]) ).
fof(f128,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f13250,plain,
( spl8_123
| spl8_3
| spl8_6
| ~ spl8_71
| ~ spl8_98
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f10119,f793,f768,f620,f303,f288,f5618]) ).
fof(f10119,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl8_71
| ~ spl8_98
| ~ spl8_102 ),
inference(duplicate_literal_removal,[],[f10118]) ).
fof(f10118,plain,
( e2 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_71
| ~ spl8_98
| ~ spl8_102 ),
inference(forward_demodulation,[],[f10117,f795]) ).
fof(f10117,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_98 ),
inference(forward_demodulation,[],[f6236,f770]) ).
fof(f6236,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_71 ),
inference(forward_demodulation,[],[f132,f622]) ).
fof(f13205,plain,
( spl8_3
| ~ spl8_86
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f13197,f732,f704,f288]) ).
fof(f13197,plain,
( e0 = e3
| ~ spl8_86
| ~ spl8_92 ),
inference(superposition,[],[f733,f705]) ).
fof(f13129,plain,
( spl8_4
| spl8_6
| spl8_2
| ~ spl8_74
| ~ spl8_85
| ~ spl8_93
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f13095,f768,f736,f697,f634,f283,f303,f293]) ).
fof(f13095,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_74
| ~ spl8_85
| ~ spl8_93
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f13094]) ).
fof(f13094,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_74
| ~ spl8_85
| ~ spl8_93
| ~ spl8_98 ),
inference(forward_demodulation,[],[f13002,f770]) ).
fof(f13002,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_85
| ~ spl8_93 ),
inference(forward_demodulation,[],[f5435,f737]) ).
fof(f5435,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_85 ),
inference(forward_demodulation,[],[f4156,f636]) ).
fof(f4156,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_85 ),
inference(forward_demodulation,[],[f153,f698]) ).
fof(f13042,plain,
( ~ spl8_86
| ~ spl8_77
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f13028,f5618,f656,f704]) ).
fof(f13028,plain,
( e0 != op(e2,e2)
| ~ spl8_77
| ~ spl8_123 ),
inference(trivial_inequality_removal,[],[f13027]) ).
fof(f13027,plain,
( e1 != e1
| e0 != op(e2,e2)
| ~ spl8_77
| ~ spl8_123 ),
inference(forward_demodulation,[],[f13026,f657]) ).
fof(f657,plain,
( op(e0,e0) = e1
| ~ spl8_77 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f13026,plain,
( e0 != op(e2,e2)
| op(e0,e0) != e1
| ~ spl8_123 ),
inference(trivial_inequality_removal,[],[f13025]) ).
fof(f13025,plain,
( e3 != e3
| e0 != op(e2,e2)
| op(e0,e0) != e1
| ~ spl8_123 ),
inference(forward_demodulation,[],[f252,f5620]) ).
fof(f252,plain,
( e0 != op(e2,e2)
| e3 != op(e1,e0)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f251]) ).
fof(f251,plain,
( e0 != op(e2,e2)
| e3 != op(op(e0,e0),e0)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f216]) ).
fof(f216,plain,
( e0 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e0 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f13022,plain,
( spl8_5
| spl8_3
| ~ spl8_10
| ~ spl8_85
| ~ spl8_112
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f12993,f1178,f1113,f697,f321,f288,f298]) ).
fof(f12993,plain,
( e0 = e3
| e1 = e3
| ~ spl8_10
| ~ spl8_85
| ~ spl8_112
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f12992]) ).
fof(f12992,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| ~ spl8_10
| ~ spl8_85
| ~ spl8_112
| ~ spl8_116 ),
inference(forward_demodulation,[],[f12991,f323]) ).
fof(f12991,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl8_85
| ~ spl8_112
| ~ spl8_116 ),
inference(forward_demodulation,[],[f12990,f1180]) ).
fof(f12990,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_85
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f12989]) ).
fof(f12989,plain,
( e1 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_85
| ~ spl8_112 ),
inference(forward_demodulation,[],[f12698,f1114]) ).
fof(f13016,plain,
( ~ spl8_85
| ~ spl8_88
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f12980,f1162,f712,f697]) ).
fof(f12980,plain,
( e1 != op(e3,e3)
| ~ spl8_88
| ~ spl8_114 ),
inference(trivial_inequality_removal,[],[f12979]) ).
fof(f12977,plain,
( spl8_85
| spl8_5
| spl8_1
| ~ spl8_74
| ~ spl8_93
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f12916,f768,f736,f634,f278,f298,f697]) ).
fof(f12916,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_74
| ~ spl8_93
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f12915]) ).
fof(f12915,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_74
| ~ spl8_93
| ~ spl8_98 ),
inference(forward_demodulation,[],[f5181,f770]) ).
fof(f5181,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_74
| ~ spl8_93 ),
inference(forward_demodulation,[],[f1810,f737]) ).
fof(f12876,plain,
( spl8_80
| spl8_3
| spl8_1
| ~ spl8_8
| ~ spl8_111
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f12858,f1113,f990,f312,f278,f288,f675]) ).
fof(f12858,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_8
| ~ spl8_111
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f12857]) ).
fof(f12857,plain,
( e0 = e1
| e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_8
| ~ spl8_111
| ~ spl8_112 ),
inference(forward_demodulation,[],[f12856,f314]) ).
fof(f12856,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_111
| ~ spl8_112 ),
inference(forward_demodulation,[],[f7350,f1114]) ).
fof(f7350,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| ~ spl8_111 ),
inference(forward_demodulation,[],[f150,f992]) ).
fof(f12843,plain,
( ~ spl8_101
| ~ spl8_8
| spl8_41 ),
inference(avatar_split_clause,[],[f10539,f470,f312,f786]) ).
fof(f470,plain,
( spl8_41
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_41])]) ).
fof(f10539,plain,
( e1 != op(e0,e3)
| ~ spl8_8
| spl8_41 ),
inference(superposition,[],[f472,f314]) ).
fof(f472,plain,
( op(e0,e3) != op(e1,e3)
| spl8_41 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f12787,plain,
( spl8_4
| ~ spl8_8
| ~ spl8_85
| ~ spl8_101
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f12723,f1113,f786,f697,f312,f293]) ).
fof(f12723,plain,
( e1 = e2
| ~ spl8_8
| ~ spl8_85
| ~ spl8_101
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f12722]) ).
fof(f12722,plain,
( e1 = e2
| e1 = e2
| ~ spl8_8
| ~ spl8_85
| ~ spl8_101
| ~ spl8_112 ),
inference(forward_demodulation,[],[f12721,f788]) ).
fof(f12721,plain,
( e1 = e2
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_85
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f12720]) ).
fof(f12720,plain,
( e1 = e2
| e1 = e2
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_85
| ~ spl8_112 ),
inference(forward_demodulation,[],[f12318,f698]) ).
fof(f12318,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f12317]) ).
fof(f12317,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_112 ),
inference(forward_demodulation,[],[f6394,f1114]) ).
fof(f6394,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl8_8 ),
inference(forward_demodulation,[],[f154,f314]) ).
fof(f12676,plain,
( spl8_80
| spl8_3
| spl8_2
| ~ spl8_74
| ~ spl8_76
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f12620,f816,f648,f634,f283,f288,f675]) ).
fof(f12620,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e3)
| ~ spl8_74
| ~ spl8_76
| ~ spl8_105 ),
inference(forward_demodulation,[],[f12619,f818]) ).
fof(f12666,plain,
( spl8_85
| spl8_5
| spl8_4
| ~ spl8_74
| ~ spl8_76
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f12614,f816,f648,f634,f293,f298,f697]) ).
fof(f12614,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_74
| ~ spl8_76
| ~ spl8_105 ),
inference(forward_demodulation,[],[f12427,f818]) ).
fof(f12427,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(duplicate_literal_removal,[],[f2149]) ).
fof(f2149,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f1746,f636]) ).
fof(f12586,plain,
( spl8_91
| spl8_2
| spl8_6
| spl8_4
| ~ spl8_74
| ~ spl8_93
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f12566,f749,f736,f634,f293,f303,f283,f726]) ).
fof(f12566,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl8_74
| ~ spl8_93
| ~ spl8_95 ),
inference(forward_demodulation,[],[f12565,f751]) ).
fof(f12565,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_93 ),
inference(forward_demodulation,[],[f5170,f636]) ).
fof(f5170,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_93 ),
inference(forward_demodulation,[],[f153,f737]) ).
fof(f12584,plain,
( ~ spl8_18
| spl8_30
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f2333,f1162,f415,f357]) ).
fof(f415,plain,
( spl8_30
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).
fof(f2333,plain,
( e0 != op(e0,e1)
| spl8_30
| ~ spl8_114 ),
inference(superposition,[],[f417,f1164]) ).
fof(f417,plain,
( op(e0,e1) != op(e2,e1)
| spl8_30 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f12563,plain,
( ~ spl8_95
| ~ spl8_86
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f12556,f982,f704,f749]) ).
fof(f12556,plain,
( e0 != op(e2,e2)
| e1 != op(e3,e0)
| ~ spl8_109 ),
inference(trivial_inequality_removal,[],[f12555]) ).
fof(f12555,plain,
( e3 != e3
| e0 != op(e2,e2)
| e1 != op(e3,e0)
| ~ spl8_109 ),
inference(forward_demodulation,[],[f262,f984]) ).
fof(f262,plain,
( e0 != op(e2,e2)
| e1 != op(e3,e0)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f261]) ).
fof(f261,plain,
( e0 != op(e2,e2)
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f221]) ).
fof(f221,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f12554,plain,
( spl8_86
| spl8_93
| spl8_1
| spl8_2
| ~ spl8_12
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f12006,f797,f330,f283,f278,f736,f704]) ).
fof(f12006,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl8_12
| ~ spl8_103 ),
inference(forward_demodulation,[],[f3102,f799]) ).
fof(f3102,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f142,f332]) ).
fof(f12546,plain,
( spl8_120
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_12
| ~ spl8_88
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f12523,f760,f712,f330,f288,f303,f298,f3329]) ).
fof(f12523,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl8_12
| ~ spl8_88
| ~ spl8_96 ),
inference(forward_demodulation,[],[f11826,f762]) ).
fof(f762,plain,
( e0 = op(e1,e0)
| ~ spl8_96 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f11826,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| ~ spl8_12
| ~ spl8_88 ),
inference(forward_demodulation,[],[f8320,f713]) ).
fof(f8320,plain,
( e1 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f139,f332]) ).
fof(f12511,plain,
( spl8_91
| spl8_6
| spl8_4
| ~ spl8_74
| ~ spl8_76
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f12455,f749,f648,f634,f293,f303,f726]) ).
fof(f12455,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl8_74
| ~ spl8_76
| ~ spl8_95 ),
inference(forward_demodulation,[],[f11050,f751]) ).
fof(f11050,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(duplicate_literal_removal,[],[f5405]) ).
fof(f5405,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f1741,f636]) ).
fof(f12421,plain,
( spl8_80
| spl8_2
| spl8_1
| ~ spl8_8
| ~ spl8_81
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f12335,f1113,f679,f312,f278,f283,f675]) ).
fof(f12335,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e3)
| ~ spl8_8
| ~ spl8_81
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f12334]) ).
fof(f12334,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| ~ spl8_8
| ~ spl8_81
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1757,f314]) ).
fof(f1757,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_81
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1756,f680]) ).
fof(f1756,plain,
( e0 = e1
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl8_112 ),
inference(forward_demodulation,[],[f150,f1114]) ).
fof(f12420,plain,
( ~ spl8_17
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f184,f366,f353]) ).
fof(f353,plain,
( spl8_17
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f184,plain,
( e1 != op(e1,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e1 != op(e1,e0)
& e0 = op(e0,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f12313,plain,
( spl8_1
| ~ spl8_71
| ~ spl8_95
| ~ spl8_96
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f12277,f816,f760,f749,f620,f278]) ).
fof(f12277,plain,
( e0 = e1
| ~ spl8_71
| ~ spl8_95
| ~ spl8_96
| ~ spl8_105 ),
inference(forward_demodulation,[],[f12276,f762]) ).
fof(f12276,plain,
( e1 = op(e1,e0)
| ~ spl8_71
| ~ spl8_95
| ~ spl8_105 ),
inference(forward_demodulation,[],[f622,f5909]) ).
fof(f5909,plain,
( e1 = e2
| ~ spl8_95
| ~ spl8_105 ),
inference(superposition,[],[f818,f751]) ).
fof(f12312,plain,
( ~ spl8_13
| ~ spl8_71 ),
inference(avatar_split_clause,[],[f11792,f620,f335]) ).
fof(f11792,plain,
( ~ sP4
| ~ spl8_71 ),
inference(trivial_inequality_removal,[],[f2183]) ).
fof(f2183,plain,
( e2 != e2
| ~ sP4
| ~ spl8_71 ),
inference(forward_demodulation,[],[f180,f622]) ).
fof(f180,plain,
( e2 != op(e2,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e2 != op(e2,e0)
& e0 = op(e0,e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f12199,plain,
( spl8_92
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_14
| ~ spl8_117
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f12188,f7324,f1189,f339,f288,f303,f298,f732]) ).
fof(f12188,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl8_14
| ~ spl8_117
| ~ spl8_126 ),
inference(forward_demodulation,[],[f12187,f341]) ).
fof(f12187,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_117
| ~ spl8_126 ),
inference(forward_demodulation,[],[f11801,f1191]) ).
fof(f11801,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_126 ),
inference(forward_demodulation,[],[f148,f7326]) ).
fof(f12186,plain,
( spl8_126
| spl8_5
| spl8_1
| spl8_4
| ~ spl8_74
| ~ spl8_80
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f11062,f816,f675,f634,f293,f278,f298,f7324]) ).
fof(f11062,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl8_74
| ~ spl8_80
| ~ spl8_105 ),
inference(forward_demodulation,[],[f7253,f818]) ).
fof(f7253,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| ~ spl8_74
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1810,f676]) ).
fof(f676,plain,
( e0 = op(e3,e3)
| ~ spl8_80 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f12144,plain,
( spl8_2
| ~ spl8_14
| ~ spl8_84
| ~ spl8_95
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f12112,f816,f749,f693,f339,f283]) ).
fof(f12112,plain,
( e0 = e2
| ~ spl8_14
| ~ spl8_84
| ~ spl8_95
| ~ spl8_105 ),
inference(forward_demodulation,[],[f694,f12104]) ).
fof(f12104,plain,
( e0 = op(e0,e1)
| ~ spl8_14
| ~ spl8_95
| ~ spl8_105 ),
inference(forward_demodulation,[],[f341,f5909]) ).
fof(f12106,plain,
( spl8_5
| ~ spl8_74
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f2321,f971,f634,f298]) ).
fof(f2321,plain,
( e1 = e3
| ~ spl8_74
| ~ spl8_108 ),
inference(superposition,[],[f973,f636]) ).
fof(f12024,plain,
( spl8_92
| spl8_5
| spl8_6
| ~ spl8_71
| ~ spl8_78
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f11892,f1142,f662,f620,f303,f298,f732]) ).
fof(f11892,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl8_71
| ~ spl8_78
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f11891]) ).
fof(f11891,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl8_71
| ~ spl8_78
| ~ spl8_113 ),
inference(forward_demodulation,[],[f11618,f622]) ).
fof(f11618,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl8_78
| ~ spl8_113 ),
inference(forward_demodulation,[],[f11385,f1144]) ).
fof(f11994,plain,
( spl8_1
| ~ spl8_12
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f877,f722,f330,f278]) ).
fof(f877,plain,
( e0 = e1
| ~ spl8_12
| ~ spl8_90 ),
inference(superposition,[],[f723,f332]) ).
fof(f11952,plain,
( spl8_4
| ~ spl8_74
| ~ spl8_78
| ~ spl8_108
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f3244,f1142,f971,f662,f634,f293]) ).
fof(f3244,plain,
( e1 = e2
| ~ spl8_74
| ~ spl8_78
| ~ spl8_108
| ~ spl8_113 ),
inference(forward_demodulation,[],[f3243,f1144]) ).
fof(f3243,plain,
( e2 = op(e2,e1)
| ~ spl8_74
| ~ spl8_78
| ~ spl8_108 ),
inference(forward_demodulation,[],[f664,f2321]) ).
fof(f11860,plain,
( spl8_106
| spl8_2
| spl8_1
| ~ spl8_88
| ~ spl8_99
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f11807,f1142,f778,f712,f278,f283,f859]) ).
fof(f11807,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl8_88
| ~ spl8_99
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f11806]) ).
fof(f11806,plain,
( e0 = e1
| e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl8_88
| ~ spl8_99
| ~ spl8_113 ),
inference(forward_demodulation,[],[f11805,f780]) ).
fof(f11805,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl8_88
| ~ spl8_113 ),
inference(forward_demodulation,[],[f11698,f713]) ).
fof(f11698,plain,
( e0 = e1
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl8_113 ),
inference(forward_demodulation,[],[f134,f1144]) ).
fof(f11789,plain,
( spl8_93
| spl8_3
| spl8_2
| ~ spl8_75
| ~ spl8_103
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f11778,f5015,f797,f644,f283,f288,f736]) ).
fof(f11778,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl8_75
| ~ spl8_103
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f11777]) ).
fof(f11777,plain,
( e0 = e2
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl8_75
| ~ spl8_103
| ~ spl8_122 ),
inference(forward_demodulation,[],[f11058,f646]) ).
fof(f11058,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl8_103
| ~ spl8_122 ),
inference(forward_demodulation,[],[f8178,f799]) ).
fof(f11776,plain,
( spl8_122
| spl8_5
| spl8_6
| ~ spl8_75
| ~ spl8_103
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f11768,f7324,f797,f644,f303,f298,f5015]) ).
fof(f11768,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl8_75
| ~ spl8_103
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f11767]) ).
fof(f11767,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl8_75
| ~ spl8_103
| ~ spl8_126 ),
inference(forward_demodulation,[],[f11766,f799]) ).
fof(f11766,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_75
| ~ spl8_126 ),
inference(forward_demodulation,[],[f9959,f646]) ).
fof(f9959,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_126 ),
inference(forward_demodulation,[],[f148,f7326]) ).
fof(f11765,plain,
( spl8_12
| spl8_126
| spl8_4
| ~ spl8_75
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f11750,f797,f644,f293,f7324,f330]) ).
fof(f11750,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl8_75
| ~ spl8_103 ),
inference(duplicate_literal_removal,[],[f11749]) ).
fof(f11749,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl8_75
| ~ spl8_103 ),
inference(forward_demodulation,[],[f11057,f646]) ).
fof(f11057,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl8_103 ),
inference(forward_demodulation,[],[f144,f799]) ).
fof(f11745,plain,
( spl8_113
| spl8_108
| spl8_4
| ~ spl8_84
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f11693,f712,f693,f293,f971,f1142]) ).
fof(f11693,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl8_84
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f5239]) ).
fof(f5239,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl8_84
| ~ spl8_88 ),
inference(forward_demodulation,[],[f5169,f694]) ).
fof(f5169,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f136,f713]) ).
fof(f11733,plain,
( spl8_106
| spl8_1
| spl8_2
| ~ spl8_84
| ~ spl8_88
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f11720,f1142,f712,f693,f283,f278,f859]) ).
fof(f11720,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e1)
| ~ spl8_84
| ~ spl8_88
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f11719]) ).
fof(f11719,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl8_84
| ~ spl8_88
| ~ spl8_113 ),
inference(forward_demodulation,[],[f11718,f694]) ).
fof(f11718,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl8_88
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1685,f1144]) ).
fof(f11728,plain,
( spl8_121
| spl8_6
| spl8_5
| ~ spl8_75
| ~ spl8_78
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f11642,f1142,f662,f644,f298,f303,f3971]) ).
fof(f11642,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_78
| ~ spl8_113 ),
inference(forward_demodulation,[],[f11159,f1144]) ).
fof(f11159,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_78 ),
inference(duplicate_literal_removal,[],[f11158]) ).
fof(f11158,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_78 ),
inference(forward_demodulation,[],[f9617,f664]) ).
fof(f11692,plain,
( spl8_93
| spl8_2
| spl8_1
| ~ spl8_75
| ~ spl8_100
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f11640,f1189,f782,f644,f278,f283,f736]) ).
fof(f11640,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| ~ spl8_75
| ~ spl8_100
| ~ spl8_117 ),
inference(forward_demodulation,[],[f11639,f784]) ).
fof(f11639,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_75
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f11638]) ).
fof(f11638,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_75
| ~ spl8_117 ),
inference(forward_demodulation,[],[f11240,f1191]) ).
fof(f11240,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f142,f646]) ).
fof(f11688,plain,
( spl8_92
| spl8_6
| spl8_5
| ~ spl8_100
| ~ spl8_117
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f11627,f5626,f1189,f782,f298,f303,f732]) ).
fof(f11627,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl8_100
| ~ spl8_117
| ~ spl8_124 ),
inference(forward_demodulation,[],[f10417,f784]) ).
fof(f10417,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_117
| ~ spl8_124 ),
inference(duplicate_literal_removal,[],[f10416]) ).
fof(f10416,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_117
| ~ spl8_124 ),
inference(forward_demodulation,[],[f8519,f1191]) ).
fof(f8519,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_124 ),
inference(forward_demodulation,[],[f148,f5628]) ).
fof(f11607,plain,
( spl8_109
| spl8_5
| spl8_6
| ~ spl8_71
| ~ spl8_95
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f11546,f812,f749,f620,f303,f298,f982]) ).
fof(f11546,plain,
( e2 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_95
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f11545]) ).
fof(f11545,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_95
| ~ spl8_104 ),
inference(forward_demodulation,[],[f10290,f814]) ).
fof(f10290,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_95 ),
inference(forward_demodulation,[],[f885,f622]) ).
fof(f885,plain,
( e1 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_95 ),
inference(forward_demodulation,[],[f132,f751]) ).
fof(f11599,plain,
( spl8_6
| spl8_2
| spl8_4
| ~ spl8_74
| ~ spl8_80
| ~ spl8_95
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f11536,f7324,f749,f675,f634,f293,f283,f303]) ).
fof(f11536,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_74
| ~ spl8_80
| ~ spl8_95
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f11535]) ).
fof(f11535,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_74
| ~ spl8_80
| ~ spl8_95
| ~ spl8_126 ),
inference(forward_demodulation,[],[f11534,f751]) ).
fof(f11534,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_80
| ~ spl8_126 ),
inference(forward_demodulation,[],[f7242,f7326]) ).
fof(f7242,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_80 ),
inference(forward_demodulation,[],[f5234,f676]) ).
fof(f5234,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_74 ),
inference(forward_demodulation,[],[f153,f636]) ).
fof(f11589,plain,
( spl8_92
| spl8_5
| ~ spl8_12
| ~ spl8_100
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f11527,f7324,f782,f330,f298,f732]) ).
fof(f11527,plain,
( e1 = e3
| e3 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f11526]) ).
fof(f11526,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100
| ~ spl8_126 ),
inference(forward_demodulation,[],[f11525,f784]) ).
fof(f11525,plain,
( e1 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f11524]) ).
fof(f11524,plain,
( e1 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_126 ),
inference(forward_demodulation,[],[f9959,f332]) ).
fof(f11512,plain,
( spl8_4
| spl8_5
| spl8_1
| ~ spl8_78
| ~ spl8_80
| ~ spl8_111
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f11476,f1178,f990,f675,f662,f278,f298,f293]) ).
fof(f11476,plain,
( e0 = e1
| e1 = e3
| e1 = e2
| ~ spl8_78
| ~ spl8_80
| ~ spl8_111
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f11475]) ).
fof(f11475,plain,
( e0 = e1
| e1 = e3
| e0 = e1
| e1 = e2
| ~ spl8_78
| ~ spl8_80
| ~ spl8_111
| ~ spl8_116 ),
inference(forward_demodulation,[],[f8539,f1180]) ).
fof(f8539,plain,
( e1 = e3
| e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl8_78
| ~ spl8_80
| ~ spl8_111 ),
inference(forward_demodulation,[],[f8401,f992]) ).
fof(f8401,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl8_78
| ~ spl8_80 ),
inference(forward_demodulation,[],[f2158,f676]) ).
fof(f11438,plain,
( spl8_94
| spl8_95
| spl8_1
| spl8_4
| ~ spl8_96
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f11341,f793,f760,f293,f278,f749,f745]) ).
fof(f745,plain,
( spl8_94
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_94])]) ).
fof(f11341,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl8_96
| ~ spl8_102 ),
inference(forward_demodulation,[],[f11340,f795]) ).
fof(f11340,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl8_96 ),
inference(forward_demodulation,[],[f128,f762]) ).
fof(f11428,plain,
( spl8_119
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_18
| ~ spl8_88
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f11390,f971,f712,f357,f288,f303,f298,f3323]) ).
fof(f11390,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_108 ),
inference(forward_demodulation,[],[f11389,f359]) ).
fof(f11389,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_88
| ~ spl8_108 ),
inference(forward_demodulation,[],[f9578,f713]) ).
fof(f9578,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_108 ),
inference(forward_demodulation,[],[f140,f973]) ).
fof(f11417,plain,
( spl8_124
| spl8_2
| spl8_4
| spl8_6
| ~ spl8_72
| ~ spl8_80
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f9999,f971,f675,f624,f303,f293,f283,f5626]) ).
fof(f9999,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4211,f626]) ).
fof(f4211,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_80
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3888,f973]) ).
fof(f3888,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f153,f676]) ).
fof(f11377,plain,
( spl8_108
| spl8_1
| spl8_4
| spl8_5
| ~ spl8_18
| ~ spl8_88
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f11352,f3323,f712,f357,f298,f293,f278,f971]) ).
fof(f11352,plain,
( e1 = e3
| e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_119 ),
inference(forward_demodulation,[],[f11163,f3324]) ).
fof(f11163,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88 ),
inference(forward_demodulation,[],[f8466,f713]) ).
fof(f8466,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| ~ spl8_18 ),
inference(forward_demodulation,[],[f136,f359]) ).
fof(f11370,plain,
( spl8_107
| spl8_6
| spl8_4
| spl8_2
| ~ spl8_72
| ~ spl8_80
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f8805,f7324,f675,f624,f283,f293,f303,f965]) ).
fof(f8805,plain,
( e0 = e2
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_126 ),
inference(forward_demodulation,[],[f7352,f676]) ).
fof(f7352,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_126 ),
inference(forward_demodulation,[],[f5059,f7326]) ).
fof(f5059,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f153,f626]) ).
fof(f11349,plain,
( spl8_93
| spl8_3
| spl8_2
| spl8_1
| ~ spl8_12
| ~ spl8_75
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f11338,f708,f644,f330,f278,f283,f288,f736]) ).
fof(f11338,plain,
( e0 = e1
| e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| ~ spl8_12
| ~ spl8_75
| ~ spl8_87 ),
inference(forward_demodulation,[],[f9581,f332]) ).
fof(f9581,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl8_75
| ~ spl8_87 ),
inference(forward_demodulation,[],[f8423,f646]) ).
fof(f8423,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| ~ spl8_87 ),
inference(forward_demodulation,[],[f142,f709]) ).
fof(f11339,plain,
( ~ spl8_80
| ~ spl8_94
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f11330,f793,f745,f675]) ).
fof(f11330,plain,
( e0 != op(e3,e3)
| ~ spl8_94
| ~ spl8_102 ),
inference(trivial_inequality_removal,[],[f11329]) ).
fof(f11329,plain,
( e2 != e2
| e0 != op(e3,e3)
| ~ spl8_94
| ~ spl8_102 ),
inference(forward_demodulation,[],[f11328,f795]) ).
fof(f11328,plain,
( e0 != op(e3,e3)
| op(e0,e0) != e2
| ~ spl8_94 ),
inference(trivial_inequality_removal,[],[f11327]) ).
fof(f11327,plain,
( e1 != e1
| e0 != op(e3,e3)
| op(e0,e0) != e2
| ~ spl8_94 ),
inference(forward_demodulation,[],[f260,f747]) ).
fof(f747,plain,
( e1 = op(e2,e0)
| ~ spl8_94 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f260,plain,
( e0 != op(e3,e3)
| e1 != op(e2,e0)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f259]) ).
fof(f259,plain,
( e0 != op(e3,e3)
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f220]) ).
fof(f220,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e0 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f11326,plain,
( spl8_3
| ~ spl8_116
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f11285,f3329,f1178,f288]) ).
fof(f11285,plain,
( e0 = e3
| ~ spl8_116
| ~ spl8_120 ),
inference(superposition,[],[f1180,f3331]) ).
fof(f11320,plain,
( spl8_94
| spl8_1
| spl8_4
| ~ spl8_96
| ~ spl8_102
| ~ spl8_116
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f11312,f3329,f1178,f793,f760,f293,f278,f745]) ).
fof(f11312,plain,
( e1 = e2
| e0 = e1
| e1 = op(e2,e0)
| ~ spl8_96
| ~ spl8_102
| ~ spl8_116
| ~ spl8_120 ),
inference(duplicate_literal_removal,[],[f11311]) ).
fof(f11311,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e2,e0)
| ~ spl8_96
| ~ spl8_102
| ~ spl8_116
| ~ spl8_120 ),
inference(forward_demodulation,[],[f11310,f795]) ).
fof(f11310,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = e2
| e1 = op(e2,e0)
| ~ spl8_96
| ~ spl8_102
| ~ spl8_116
| ~ spl8_120 ),
inference(forward_demodulation,[],[f9882,f11285]) ).
fof(f9882,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl8_96
| ~ spl8_102 ),
inference(forward_demodulation,[],[f5034,f762]) ).
fof(f5034,plain,
( e1 = e2
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl8_102 ),
inference(forward_demodulation,[],[f128,f795]) ).
fof(f11293,plain,
( spl8_113
| spl8_112
| spl8_4
| spl8_1
| ~ spl8_75
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f11154,f764,f644,f278,f293,f1113,f1142]) ).
fof(f11154,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| ~ spl8_75
| ~ spl8_97 ),
inference(forward_demodulation,[],[f9589,f766]) ).
fof(f766,plain,
( e0 = op(e2,e0)
| ~ spl8_97 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f11263,plain,
( spl8_12
| spl8_126
| spl8_5
| spl8_4
| ~ spl8_75
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f9576,f708,f644,f293,f298,f7324,f330]) ).
fof(f9576,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| ~ spl8_75
| ~ spl8_87 ),
inference(forward_demodulation,[],[f8422,f646]) ).
fof(f8422,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| ~ spl8_87 ),
inference(forward_demodulation,[],[f144,f709]) ).
fof(f11256,plain,
( spl8_108
| spl8_126
| spl8_1
| spl8_5
| ~ spl8_72
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f6985,f675,f624,f298,f278,f7324,f971]) ).
fof(f6985,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1393,f626]) ).
fof(f1393,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f151,f676]) ).
fof(f11245,plain,
( spl8_120
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_78
| ~ spl8_80
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f10608,f786,f675,f662,f298,f288,f303,f3329]) ).
fof(f10608,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl8_78
| ~ spl8_80
| ~ spl8_101 ),
inference(forward_demodulation,[],[f10379,f788]) ).
fof(f10379,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_80 ),
inference(forward_demodulation,[],[f2153,f676]) ).
fof(f11231,plain,
( spl8_126
| spl8_4
| spl8_5
| ~ spl8_75
| ~ spl8_87
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f11153,f5015,f708,f644,f298,f293,f7324]) ).
fof(f11153,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl8_75
| ~ spl8_87
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f11152]) ).
fof(f11152,plain,
( e1 = e3
| e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| ~ spl8_75
| ~ spl8_87
| ~ spl8_122 ),
inference(forward_demodulation,[],[f11151,f709]) ).
fof(f11151,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_75
| ~ spl8_122 ),
inference(forward_demodulation,[],[f9593,f5016]) ).
fof(f9593,plain,
( e1 = e2
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f144,f646]) ).
fof(f11225,plain,
( spl8_119
| spl8_6
| spl8_3
| ~ spl8_75
| ~ spl8_78
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f11149,f764,f662,f644,f288,f303,f3323]) ).
fof(f11149,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl8_75
| ~ spl8_78
| ~ spl8_97 ),
inference(forward_demodulation,[],[f9597,f766]) ).
fof(f9597,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_78 ),
inference(duplicate_literal_removal,[],[f9596]) ).
fof(f9596,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_75
| ~ spl8_78 ),
inference(forward_demodulation,[],[f9595,f646]) ).
fof(f9595,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_78 ),
inference(forward_demodulation,[],[f147,f664]) ).
fof(f11224,plain,
( spl8_9
| spl8_7
| ~ spl8_76
| spl8_3
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f1660,f675,f288,f648,f308,f317]) ).
fof(f1660,plain,
( e0 = e3
| e3 != op(e3,e2)
| sP7
| sP6
| ~ spl8_80 ),
inference(forward_demodulation,[],[f202,f676]) ).
fof(f11166,plain,
( ~ spl8_17
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f11112,f366,f353]) ).
fof(f11112,plain,
( ~ sP2
| ~ spl8_20 ),
inference(trivial_inequality_removal,[],[f11111]) ).
fof(f11111,plain,
( e1 != e1
| ~ sP2
| ~ spl8_20 ),
inference(forward_demodulation,[],[f184,f368]) ).
fof(f11165,plain,
( ~ spl8_9
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f6372,f624,f317]) ).
fof(f6372,plain,
( ~ sP6
| ~ spl8_72 ),
inference(trivial_inequality_removal,[],[f4626]) ).
fof(f11100,plain,
( spl8_112
| spl8_4
| spl8_1
| ~ spl8_10
| ~ spl8_80
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f10799,f1193,f675,f321,f278,f293,f1113]) ).
fof(f10799,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| ~ spl8_10
| ~ spl8_80
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f10798]) ).
fof(f10798,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| ~ spl8_10
| ~ spl8_80
| ~ spl8_118 ),
inference(forward_demodulation,[],[f8207,f323]) ).
fof(f8207,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl8_80
| ~ spl8_118 ),
inference(forward_demodulation,[],[f3096,f676]) ).
fof(f11039,plain,
( spl8_10
| spl8_1
| spl8_2
| spl8_3
| ~ spl8_99
| ~ spl8_103
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f11002,f982,f797,f778,f288,f283,f278,f321]) ).
fof(f11002,plain,
( e0 = e3
| e0 = e2
| e0 = e1
| e0 = op(e0,e3)
| ~ spl8_99
| ~ spl8_103
| ~ spl8_109 ),
inference(forward_demodulation,[],[f11001,f984]) ).
fof(f11001,plain,
( e0 = e2
| e0 = e1
| e0 = op(e0,e3)
| e0 = op(e0,e0)
| ~ spl8_99
| ~ spl8_103 ),
inference(forward_demodulation,[],[f7303,f799]) ).
fof(f7303,plain,
( e0 = e1
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| ~ spl8_99 ),
inference(forward_demodulation,[],[f125,f780]) ).
fof(f125,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11035,plain,
( spl8_116
| spl8_3
| spl8_1
| ~ spl8_20
| ~ spl8_82
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f11007,f5015,f683,f366,f278,f288,f1178]) ).
fof(f11007,plain,
( e0 = e1
| e0 = e3
| e0 = op(e1,e3)
| ~ spl8_20
| ~ spl8_82
| ~ spl8_122 ),
inference(forward_demodulation,[],[f7499,f368]) ).
fof(f7499,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl8_82
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f7498]) ).
fof(f7498,plain,
( e0 = e3
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e0)
| ~ spl8_82
| ~ spl8_122 ),
inference(forward_demodulation,[],[f6051,f684]) ).
fof(f6051,plain,
( e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl8_122 ),
inference(forward_demodulation,[],[f133,f5016]) ).
fof(f10981,plain,
( spl8_110
| spl8_74
| spl8_6
| ~ spl8_73
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f9688,f712,f630,f303,f634,f986]) ).
fof(f9688,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f6038]) ).
fof(f6038,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_88 ),
inference(forward_demodulation,[],[f4713,f632]) ).
fof(f4713,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f140,f713]) ).
fof(f10976,plain,
( spl8_93
| spl8_3
| spl8_1
| ~ spl8_92
| ~ spl8_100
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f10925,f5015,f782,f732,f278,f288,f736]) ).
fof(f10925,plain,
( e0 = e1
| e0 = e3
| e0 = op(e3,e2)
| ~ spl8_92
| ~ spl8_100
| ~ spl8_122 ),
inference(forward_demodulation,[],[f10924,f784]) ).
fof(f10924,plain,
( e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_92
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f10923]) ).
fof(f10923,plain,
( e0 = e3
| e0 = e3
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_92
| ~ spl8_122 ),
inference(forward_demodulation,[],[f8178,f733]) ).
fof(f10896,plain,
( spl8_125
| spl8_6
| spl8_3
| ~ spl8_10
| ~ spl8_80
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f10797,f1193,f675,f321,f288,f303,f6616]) ).
fof(f10797,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl8_10
| ~ spl8_80
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f10796]) ).
fof(f10796,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl8_10
| ~ spl8_80
| ~ spl8_118 ),
inference(forward_demodulation,[],[f10795,f323]) ).
fof(f10795,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_80
| ~ spl8_118 ),
inference(forward_demodulation,[],[f8081,f1195]) ).
fof(f8081,plain,
( e0 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f156,f676]) ).
fof(f10884,plain,
( spl8_92
| spl8_5
| spl8_6
| ~ spl8_71
| ~ spl8_73
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f10296,f1113,f630,f620,f303,f298,f732]) ).
fof(f10296,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl8_71
| ~ spl8_73
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f10295]) ).
fof(f10295,plain,
( e2 = e3
| e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl8_71
| ~ spl8_73
| ~ spl8_112 ),
inference(forward_demodulation,[],[f10294,f622]) ).
fof(f10294,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_112 ),
inference(forward_demodulation,[],[f9862,f1114]) ).
fof(f9862,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f147,f632]) ).
fof(f10829,plain,
( ~ spl8_105
| ~ spl8_83
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f10804,f982,f689,f816]) ).
fof(f10804,plain,
( e2 != op(e3,e0)
| ~ spl8_83
| ~ spl8_109 ),
inference(trivial_inequality_removal,[],[f10803]) ).
fof(f10803,plain,
( e3 != e3
| e2 != op(e3,e0)
| ~ spl8_83
| ~ spl8_109 ),
inference(forward_demodulation,[],[f10802,f984]) ).
fof(f10802,plain,
( e2 != op(e3,e0)
| op(e0,e0) != e3
| ~ spl8_83 ),
inference(trivial_inequality_removal,[],[f10801]) ).
fof(f10801,plain,
( e0 != e0
| e2 != op(e3,e0)
| op(e0,e0) != e3
| ~ spl8_83 ),
inference(forward_demodulation,[],[f246,f690]) ).
fof(f246,plain,
( e0 != op(e1,e1)
| e2 != op(e3,e0)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f245]) ).
fof(f245,plain,
( e0 != op(e1,e1)
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f213]) ).
fof(f213,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f10794,plain,
( spl8_4
| ~ spl8_20
| ~ spl8_82
| ~ spl8_83
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f10762,f1193,f689,f683,f366,f293]) ).
fof(f10762,plain,
( e1 = e2
| ~ spl8_20
| ~ spl8_82
| ~ spl8_83
| ~ spl8_118 ),
inference(forward_demodulation,[],[f7656,f368]) ).
fof(f7656,plain,
( e2 = op(e1,e0)
| ~ spl8_82
| ~ spl8_83
| ~ spl8_118 ),
inference(forward_demodulation,[],[f1195,f7504]) ).
fof(f10743,plain,
( spl8_83
| spl8_106
| spl8_2
| ~ spl8_73
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f9680,f693,f630,f283,f859,f689]) ).
fof(f9680,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl8_73
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f7371]) ).
fof(f7371,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl8_73
| ~ spl8_84 ),
inference(forward_demodulation,[],[f6998,f694]) ).
fof(f10736,plain,
( spl8_108
| spl8_5
| spl8_4
| ~ spl8_73
| ~ spl8_82
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f10689,f693,f683,f630,f293,f298,f971]) ).
fof(f10689,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_73
| ~ spl8_82
| ~ spl8_84 ),
inference(duplicate_literal_removal,[],[f10688]) ).
fof(f10688,plain,
( e1 = e2
| e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_73
| ~ spl8_82
| ~ spl8_84 ),
inference(forward_demodulation,[],[f9962,f694]) ).
fof(f9962,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_73
| ~ spl8_82 ),
inference(forward_demodulation,[],[f9700,f684]) ).
fof(f9700,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f136,f632]) ).
fof(f10703,plain,
( spl8_5
| ~ spl8_76
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f10701,f7324,f648,f298]) ).
fof(f10701,plain,
( e1 = e3
| ~ spl8_76
| ~ spl8_126 ),
inference(forward_demodulation,[],[f650,f7326]) ).
fof(f10659,plain,
( ~ spl8_80
| ~ spl8_92
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f10604,f786,f732,f675]) ).
fof(f10604,plain,
( e0 != op(e3,e3)
| ~ spl8_92
| ~ spl8_101 ),
inference(trivial_inequality_removal,[],[f10603]) ).
fof(f10603,plain,
( e1 != e1
| e0 != op(e3,e3)
| ~ spl8_92
| ~ spl8_101 ),
inference(forward_demodulation,[],[f10172,f788]) ).
fof(f10172,plain,
( e1 != op(e0,e3)
| e0 != op(e3,e3)
| ~ spl8_92 ),
inference(trivial_inequality_removal,[],[f8789]) ).
fof(f8789,plain,
( e3 != e3
| e1 != op(e0,e3)
| e0 != op(e3,e3)
| ~ spl8_92 ),
inference(forward_demodulation,[],[f230,f733]) ).
fof(f230,plain,
( e3 != op(e2,e2)
| e1 != op(e0,e3)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f229]) ).
fof(f229,plain,
( e3 != op(e2,e2)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f205]) ).
fof(f205,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f10584,plain,
( spl8_13
| spl8_11
| spl8_3
| ~ spl8_75
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f1240,f736,f644,f288,f326,f335]) ).
fof(f1240,plain,
( e0 = e3
| sP5
| sP4
| ~ spl8_75
| ~ spl8_93 ),
inference(trivial_inequality_removal,[],[f1239]) ).
fof(f1239,plain,
( e2 != e2
| e0 = e3
| sP5
| sP4
| ~ spl8_75
| ~ spl8_93 ),
inference(forward_demodulation,[],[f1204,f646]) ).
fof(f1204,plain,
( e0 = e3
| e2 != op(e2,e2)
| sP5
| sP4
| ~ spl8_93 ),
inference(forward_demodulation,[],[f198,f737]) ).
fof(f10461,plain,
( spl8_6
| spl8_5
| spl8_3
| ~ spl8_80
| ~ spl8_98
| ~ spl8_107
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f10452,f7324,f965,f768,f675,f288,f298,f303]) ).
fof(f10452,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_80
| ~ spl8_98
| ~ spl8_107
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f10451]) ).
fof(f10451,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_80
| ~ spl8_98
| ~ spl8_107
| ~ spl8_126 ),
inference(forward_demodulation,[],[f10450,f770]) ).
fof(f10450,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl8_80
| ~ spl8_107
| ~ spl8_126 ),
inference(forward_demodulation,[],[f6402,f7326]) ).
fof(f6402,plain,
( e2 = e3
| e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| ~ spl8_80
| ~ spl8_107 ),
inference(forward_demodulation,[],[f4675,f967]) ).
fof(f4675,plain,
( e0 = e3
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f155,f676]) ).
fof(f155,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f10447,plain,
( spl8_107
| spl8_124
| spl8_2
| ~ spl8_80
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f10363,f768,f675,f283,f5626,f965]) ).
fof(f10363,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl8_80
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f10163]) ).
fof(f10163,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl8_80
| ~ spl8_98 ),
inference(forward_demodulation,[],[f10094,f770]) ).
fof(f10094,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f153,f676]) ).
fof(f10433,plain,
( spl8_108
| spl8_126
| spl8_1
| ~ spl8_80
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f10362,f768,f675,f278,f7324,f971]) ).
fof(f10362,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl8_80
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f10161]) ).
fof(f10161,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| ~ spl8_80
| ~ spl8_98 ),
inference(forward_demodulation,[],[f10096,f770]) ).
fof(f10096,plain,
( e0 = e1
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f151,f676]) ).
fof(f10429,plain,
( spl8_92
| spl8_6
| spl8_3
| ~ spl8_14
| ~ spl8_117
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f10418,f5626,f1189,f339,f288,f303,f732]) ).
fof(f10418,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e2)
| ~ spl8_14
| ~ spl8_117
| ~ spl8_124 ),
inference(forward_demodulation,[],[f10417,f341]) ).
fof(f10415,plain,
( spl8_124
| spl8_2
| spl8_4
| ~ spl8_80
| ~ spl8_98
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f10376,f971,f768,f675,f293,f283,f5626]) ).
fof(f10376,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl8_80
| ~ spl8_98
| ~ spl8_108 ),
inference(forward_demodulation,[],[f10164,f973]) ).
fof(f10164,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| ~ spl8_80
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f10163]) ).
fof(f10358,plain,
( spl8_72
| spl8_6
| spl8_3
| spl8_5
| ~ spl8_20
| ~ spl8_97
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f10326,f793,f764,f366,f298,f288,f303,f624]) ).
fof(f10326,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| ~ spl8_20
| ~ spl8_97
| ~ spl8_102 ),
inference(forward_demodulation,[],[f10325,f368]) ).
fof(f10325,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| ~ spl8_97
| ~ spl8_102 ),
inference(forward_demodulation,[],[f10093,f766]) ).
fof(f10093,plain,
( e2 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| ~ spl8_102 ),
inference(forward_demodulation,[],[f132,f795]) ).
fof(f10350,plain,
( spl8_105
| spl8_6
| spl8_2
| spl8_4
| ~ spl8_76
| ~ spl8_80
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f4235,f971,f675,f648,f293,f283,f303,f816]) ).
fof(f4235,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl8_76
| ~ spl8_80
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4234,f973]) ).
fof(f4234,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1741,f676]) ).
fof(f10338,plain,
( spl8_82
| spl8_6
| spl8_5
| ~ spl8_20
| ~ spl8_117
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f10330,f1193,f1189,f366,f298,f303,f683]) ).
fof(f10330,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl8_20
| ~ spl8_117
| ~ spl8_118 ),
inference(forward_demodulation,[],[f10329,f368]) ).
fof(f10329,plain,
( e2 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_117
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f10328]) ).
fof(f10328,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_117
| ~ spl8_118 ),
inference(forward_demodulation,[],[f8266,f1191]) ).
fof(f8266,plain,
( e2 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_118 ),
inference(forward_demodulation,[],[f139,f1195]) ).
fof(f10327,plain,
( spl8_118
| spl8_78
| spl8_2
| ~ spl8_10
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f10233,f675,f321,f283,f662,f1193]) ).
fof(f10233,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl8_10
| ~ spl8_80 ),
inference(duplicate_literal_removal,[],[f10232]) ).
fof(f10232,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| ~ spl8_10
| ~ spl8_80 ),
inference(forward_demodulation,[],[f8085,f323]) ).
fof(f8085,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f154,f676]) ).
fof(f10324,plain,
( spl8_6
| spl8_2
| spl8_4
| ~ spl8_76
| ~ spl8_80
| ~ spl8_95
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f10288,f971,f749,f675,f648,f293,f283,f303]) ).
fof(f10288,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_76
| ~ spl8_80
| ~ spl8_95
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f10287]) ).
fof(f10287,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_76
| ~ spl8_80
| ~ spl8_95
| ~ spl8_108 ),
inference(forward_demodulation,[],[f10286,f751]) ).
fof(f10286,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e0)
| ~ spl8_76
| ~ spl8_80
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4010,f973]) ).
fof(f4010,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1741,f676]) ).
fof(f10315,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_71
| ~ spl8_95
| ~ spl8_96
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f10267,f793,f760,f749,f620,f303,f288,f298]) ).
fof(f10267,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_71
| ~ spl8_95
| ~ spl8_96
| ~ spl8_102 ),
inference(duplicate_literal_removal,[],[f10266]) ).
fof(f10266,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_71
| ~ spl8_95
| ~ spl8_96
| ~ spl8_102 ),
inference(forward_demodulation,[],[f10265,f795]) ).
fof(f10265,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_95
| ~ spl8_96 ),
inference(forward_demodulation,[],[f10264,f762]) ).
fof(f10264,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_95 ),
inference(forward_demodulation,[],[f6236,f751]) ).
fof(f10285,plain,
( spl8_6
| ~ spl8_71
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f10273,f3971,f620,f303]) ).
fof(f10273,plain,
( e2 = e3
| ~ spl8_71
| ~ spl8_121 ),
inference(superposition,[],[f622,f3973]) ).
fof(f10245,plain,
( spl8_108
| spl8_5
| spl8_1
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f10160,f768,f675,f648,f278,f298,f971]) ).
fof(f10160,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f10159]) ).
fof(f10159,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98 ),
inference(forward_demodulation,[],[f10114,f770]) ).
fof(f10114,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1746,f676]) ).
fof(f10234,plain,
( spl8_107
| spl8_6
| spl8_2
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f10158,f768,f675,f648,f283,f303,f965]) ).
fof(f10158,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f10157]) ).
fof(f10157,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98 ),
inference(forward_demodulation,[],[f3897,f770]) ).
fof(f3897,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1741,f676]) ).
fof(f10231,plain,
( spl8_13
| spl8_11
| spl8_75
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f10169,f662,f644,f326,f335]) ).
fof(f10169,plain,
( e2 = op(e2,e2)
| sP5
| sP4
| ~ spl8_78 ),
inference(trivial_inequality_removal,[],[f2061]) ).
fof(f2061,plain,
( e2 != e2
| e2 = op(e2,e2)
| sP5
| sP4
| ~ spl8_78 ),
inference(forward_demodulation,[],[f199,f664]) ).
fof(f199,plain,
( e2 != op(e2,e3)
| e2 = op(e2,e2)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f62]) ).
fof(f10223,plain,
( spl8_9
| spl8_7
| spl8_3
| ~ spl8_76
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f10083,f675,f648,f288,f308,f317]) ).
fof(f10083,plain,
( e0 = e3
| sP7
| sP6
| ~ spl8_76
| ~ spl8_80 ),
inference(trivial_inequality_removal,[],[f1720]) ).
fof(f1720,plain,
( e3 != e3
| e0 = e3
| sP7
| sP6
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1660,f650]) ).
fof(f10217,plain,
( spl8_13
| spl8_11
| spl8_6
| ~ spl8_78
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f8848,f732,f662,f303,f326,f335]) ).
fof(f8848,plain,
( e2 = e3
| sP5
| sP4
| ~ spl8_78
| ~ spl8_92 ),
inference(forward_demodulation,[],[f8768,f733]) ).
fof(f8768,plain,
( e2 = op(e2,e2)
| sP5
| sP4
| ~ spl8_78 ),
inference(trivial_inequality_removal,[],[f2061]) ).
fof(f10168,plain,
( spl8_81
| spl8_2
| spl8_4
| ~ spl8_8
| ~ spl8_80
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f9691,f1113,f675,f312,f293,f283,f679]) ).
fof(f9691,plain,
( e1 = e2
| e0 = e2
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f8686]) ).
fof(f8686,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_112 ),
inference(forward_demodulation,[],[f8685,f1114]) ).
fof(f8685,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80 ),
inference(forward_demodulation,[],[f6394,f676]) ).
fof(f10156,plain,
( spl8_5
| spl8_1
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f10107,f859,f768,f675,f648,f278,f298]) ).
fof(f10107,plain,
( e0 = e1
| e1 = e3
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f10106]) ).
fof(f10106,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98
| ~ spl8_106 ),
inference(forward_demodulation,[],[f10105,f861]) ).
fof(f10105,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f10104]) ).
fof(f10104,plain,
( e0 = e1
| e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_76
| ~ spl8_80
| ~ spl8_98 ),
inference(forward_demodulation,[],[f6262,f676]) ).
fof(f10126,plain,
( ~ spl8_13
| ~ spl8_71 ),
inference(avatar_split_clause,[],[f9674,f620,f335]) ).
fof(f9674,plain,
( ~ sP4
| ~ spl8_71 ),
inference(trivial_inequality_removal,[],[f2183]) ).
fof(f10081,plain,
( spl8_6
| spl8_2
| spl8_4
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f10073,f6616,f786,f675,f312,f293,f283,f303]) ).
fof(f10073,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101
| ~ spl8_125 ),
inference(duplicate_literal_removal,[],[f10072]) ).
fof(f10072,plain,
( e1 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101
| ~ spl8_125 ),
inference(forward_demodulation,[],[f10071,f788]) ).
fof(f10071,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_125 ),
inference(forward_demodulation,[],[f7467,f676]) ).
fof(f7467,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_125 ),
inference(forward_demodulation,[],[f6394,f6618]) ).
fof(f10070,plain,
( spl8_125
| spl8_3
| spl8_5
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f9972,f786,f675,f312,f298,f288,f6616]) ).
fof(f9972,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101 ),
inference(duplicate_literal_removal,[],[f9971]) ).
fof(f9971,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101 ),
inference(forward_demodulation,[],[f8817,f314]) ).
fof(f8817,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| ~ spl8_80
| ~ spl8_101 ),
inference(forward_demodulation,[],[f6826,f676]) ).
fof(f10007,plain,
( spl8_106
| spl8_2
| spl8_3
| ~ spl8_73
| ~ spl8_82
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f9967,f986,f683,f630,f288,f283,f859]) ).
fof(f9967,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl8_73
| ~ spl8_82
| ~ spl8_110 ),
inference(duplicate_literal_removal,[],[f9966]) ).
fof(f9966,plain,
( e0 = e3
| e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| ~ spl8_73
| ~ spl8_82
| ~ spl8_110 ),
inference(forward_demodulation,[],[f6994,f684]) ).
fof(f6994,plain,
( e0 = e2
| e0 = e3
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| ~ spl8_73
| ~ spl8_110 ),
inference(forward_demodulation,[],[f2200,f632]) ).
fof(f2200,plain,
( e0 = e3
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| ~ spl8_110 ),
inference(forward_demodulation,[],[f134,f988]) ).
fof(f9998,plain,
( spl8_2
| spl8_6
| spl8_4
| ~ spl8_72
| ~ spl8_80
| ~ spl8_108
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f9988,f7324,f971,f675,f624,f293,f303,f283]) ).
fof(f9988,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl8_72
| ~ spl8_80
| ~ spl8_108
| ~ spl8_126 ),
inference(duplicate_literal_removal,[],[f9987]) ).
fof(f9987,plain,
( e1 = e2
| e2 = e3
| e1 = e2
| e0 = e2
| ~ spl8_72
| ~ spl8_80
| ~ spl8_108
| ~ spl8_126 ),
inference(forward_demodulation,[],[f4238,f7326]) ).
fof(f4238,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4237,f626]) ).
fof(f4237,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| ~ spl8_80
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4236,f973]) ).
fof(f4236,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f153,f676]) ).
fof(f9986,plain,
( spl8_108
| spl8_4
| spl8_5
| ~ spl8_73
| ~ spl8_82
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f9965,f986,f683,f630,f298,f293,f971]) ).
fof(f9965,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_73
| ~ spl8_82
| ~ spl8_110 ),
inference(duplicate_literal_removal,[],[f9964]) ).
fof(f9964,plain,
( e1 = e3
| e1 = e3
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_73
| ~ spl8_82
| ~ spl8_110 ),
inference(forward_demodulation,[],[f6984,f684]) ).
fof(f9957,plain,
( ~ spl8_126
| ~ spl8_92
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f9948,f793,f732,f7324]) ).
fof(f9948,plain,
( e1 != op(e3,e2)
| ~ spl8_92
| ~ spl8_102 ),
inference(trivial_inequality_removal,[],[f9947]) ).
fof(f9947,plain,
( e3 != e3
| e1 != op(e3,e2)
| ~ spl8_92
| ~ spl8_102 ),
inference(forward_demodulation,[],[f9946,f733]) ).
fof(f9946,plain,
( e1 != op(e3,e2)
| e3 != op(e2,e2)
| ~ spl8_102 ),
inference(trivial_inequality_removal,[],[f9945]) ).
fof(f9945,plain,
( e2 != e2
| e1 != op(e3,e2)
| e3 != op(e2,e2)
| ~ spl8_102 ),
inference(forward_demodulation,[],[f272,f795]) ).
fof(f272,plain,
( op(e0,e0) != e2
| e1 != op(e3,e2)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f271]) ).
fof(f271,plain,
( op(e0,e0) != e2
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f226]) ).
fof(f226,plain,
( op(e0,e0) != e2
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( op(e0,e0) != e2
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( op(e0,e0) = e2
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f9938,plain,
( spl8_126
| spl8_5
| spl8_4
| spl8_1
| ~ spl8_14
| ~ spl8_92
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f9923,f1189,f732,f339,f278,f293,f298,f7324]) ).
fof(f9923,plain,
( e0 = e1
| e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| ~ spl8_14
| ~ spl8_92
| ~ spl8_117 ),
inference(forward_demodulation,[],[f9922,f341]) ).
fof(f9922,plain,
( e1 = e2
| e1 = e3
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| ~ spl8_92
| ~ spl8_117 ),
inference(forward_demodulation,[],[f8650,f1191]) ).
fof(f8650,plain,
( e1 = e3
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| ~ spl8_92 ),
inference(forward_demodulation,[],[f144,f733]) ).
fof(f9932,plain,
( spl8_82
| spl8_5
| spl8_6
| spl8_3
| ~ spl8_8
| ~ spl8_96
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f8692,f1189,f760,f312,f288,f303,f298,f683]) ).
fof(f8692,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl8_8
| ~ spl8_96
| ~ spl8_117 ),
inference(forward_demodulation,[],[f8691,f762]) ).
fof(f8691,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_117 ),
inference(forward_demodulation,[],[f3612,f1191]) ).
fof(f9930,plain,
( ~ spl8_109
| spl8_25
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f6210,f624,f390,f982]) ).
fof(f390,plain,
( spl8_25
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
fof(f6210,plain,
( op(e0,e0) != e3
| spl8_25
| ~ spl8_72 ),
inference(superposition,[],[f392,f626]) ).
fof(f392,plain,
( op(e0,e0) != op(e3,e0)
| spl8_25 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f9918,plain,
( spl8_121
| spl8_92
| spl8_6
| ~ spl8_73
| ~ spl8_78 ),
inference(avatar_split_clause,[],[f9910,f662,f630,f303,f732,f3971]) ).
fof(f9910,plain,
( e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_78 ),
inference(duplicate_literal_removal,[],[f9909]) ).
fof(f9909,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_78 ),
inference(forward_demodulation,[],[f9595,f632]) ).
fof(f9906,plain,
( spl8_78
| spl8_4
| spl8_6
| spl8_2
| ~ spl8_8
| ~ spl8_80
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f8684,f990,f675,f312,f283,f303,f293,f662]) ).
fof(f8684,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e2,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_111 ),
inference(forward_demodulation,[],[f6395,f676]) ).
fof(f6395,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| ~ spl8_8
| ~ spl8_111 ),
inference(forward_demodulation,[],[f6394,f992]) ).
fof(f9859,plain,
( spl8_1
| ~ spl8_112
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f9715,f1166,f1113,f278]) ).
fof(f9715,plain,
( e0 = e1
| ~ spl8_112
| ~ spl8_115 ),
inference(forward_demodulation,[],[f1114,f1168]) ).
fof(f1168,plain,
( e0 = op(e2,e3)
| ~ spl8_115 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f9673,plain,
( spl8_97
| spl8_115
| spl8_2
| ~ spl8_73
| ~ spl8_75 ),
inference(avatar_split_clause,[],[f9648,f644,f630,f283,f1166,f764]) ).
fof(f9648,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_73
| ~ spl8_75 ),
inference(duplicate_literal_removal,[],[f9647]) ).
fof(f9647,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_73
| ~ spl8_75 ),
inference(forward_demodulation,[],[f9646,f632]) ).
fof(f9646,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_75 ),
inference(forward_demodulation,[],[f141,f646]) ).
fof(f9660,plain,
( spl8_125
| spl8_6
| spl8_5
| ~ spl8_73
| ~ spl8_75
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f9659,f745,f644,f630,f298,f303,f6616]) ).
fof(f9659,plain,
( e1 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl8_73
| ~ spl8_75
| ~ spl8_94 ),
inference(forward_demodulation,[],[f9619,f747]) ).
fof(f9619,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_75 ),
inference(duplicate_literal_removal,[],[f9618]) ).
fof(f9618,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_75 ),
inference(forward_demodulation,[],[f9617,f632]) ).
fof(f9658,plain,
( spl8_3
| spl8_6
| spl8_5
| ~ spl8_8
| ~ spl8_80
| ~ spl8_81
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f9644,f1113,f679,f675,f312,f298,f303,f288]) ).
fof(f9644,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| ~ spl8_8
| ~ spl8_80
| ~ spl8_81
| ~ spl8_112 ),
inference(duplicate_literal_removal,[],[f9643]) ).
fof(f9643,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_8
| ~ spl8_80
| ~ spl8_81
| ~ spl8_112 ),
inference(forward_demodulation,[],[f9622,f1114]) ).
fof(f9622,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_81 ),
inference(forward_demodulation,[],[f9621,f680]) ).
fof(f9621,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80 ),
inference(forward_demodulation,[],[f8081,f314]) ).
fof(f9642,plain,
( spl8_5
| ~ spl8_112
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f9641,f6616,f1113,f298]) ).
fof(f9641,plain,
( e1 = e3
| ~ spl8_112
| ~ spl8_125 ),
inference(forward_demodulation,[],[f6618,f1114]) ).
fof(f9637,plain,
( spl8_125
| spl8_6
| spl8_3
| ~ spl8_73
| ~ spl8_75
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f9620,f764,f644,f630,f288,f303,f6616]) ).
fof(f9620,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e3)
| ~ spl8_73
| ~ spl8_75
| ~ spl8_97 ),
inference(forward_demodulation,[],[f9619,f766]) ).
fof(f9627,plain,
( spl8_112
| spl8_4
| spl8_1
| ~ spl8_73
| ~ spl8_75
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f9592,f764,f644,f630,f278,f293,f1113]) ).
fof(f9592,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e3)
| ~ spl8_73
| ~ spl8_75
| ~ spl8_97 ),
inference(forward_demodulation,[],[f9591,f766]) ).
fof(f9591,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_73
| ~ spl8_75 ),
inference(duplicate_literal_removal,[],[f9590]) ).
fof(f9590,plain,
( e1 = e2
| e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| ~ spl8_73
| ~ spl8_75 ),
inference(forward_demodulation,[],[f9589,f632]) ).
fof(f9623,plain,
( spl8_82
| spl8_6
| spl8_5
| ~ spl8_73
| ~ spl8_99
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f9569,f971,f778,f630,f298,f303,f683]) ).
fof(f9569,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl8_73
| ~ spl8_99
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f9568]) ).
fof(f9568,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| ~ spl8_73
| ~ spl8_99
| ~ spl8_108 ),
inference(forward_demodulation,[],[f9567,f780]) ).
fof(f9567,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4309,f632]) ).
fof(f4309,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_108 ),
inference(forward_demodulation,[],[f140,f973]) ).
fof(f9616,plain,
( spl8_6
| spl8_3
| ~ spl8_73
| ~ spl8_75
| ~ spl8_78
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f9600,f764,f662,f644,f630,f288,f303]) ).
fof(f9600,plain,
( e0 = e3
| e2 = e3
| ~ spl8_73
| ~ spl8_75
| ~ spl8_78
| ~ spl8_97 ),
inference(forward_demodulation,[],[f9599,f766]) ).
fof(f9599,plain,
( e2 = e3
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_75
| ~ spl8_78 ),
inference(duplicate_literal_removal,[],[f9598]) ).
fof(f9598,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_75
| ~ spl8_78 ),
inference(forward_demodulation,[],[f9597,f632]) ).
fof(f9558,plain,
( spl8_6
| ~ spl8_75
| ~ spl8_92 ),
inference(avatar_split_clause,[],[f8699,f732,f644,f303]) ).
fof(f8699,plain,
( e2 = e3
| ~ spl8_75
| ~ spl8_92 ),
inference(superposition,[],[f646,f733]) ).
fof(f9434,plain,
( spl8_4
| ~ spl8_124
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f7328,f7324,f5626,f293]) ).
fof(f7328,plain,
( e1 = e2
| ~ spl8_124
| ~ spl8_126 ),
inference(superposition,[],[f7326,f5628]) ).
fof(f9347,plain,
( spl8_5
| ~ spl8_74
| ~ spl8_124
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f8905,f7324,f5626,f634,f298]) ).
fof(f8905,plain,
( e1 = e3
| ~ spl8_74
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f636,f7642]) ).
fof(f7642,plain,
( e1 = op(e3,e1)
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f5628,f7328]) ).
fof(f9260,plain,
( spl8_1
| ~ spl8_73
| ~ spl8_83
| ~ spl8_124
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f9159,f7324,f5626,f689,f630,f278]) ).
fof(f9159,plain,
( e0 = e1
| ~ spl8_73
| ~ spl8_83
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f9158,f690]) ).
fof(f9158,plain,
( e1 = op(e1,e1)
| ~ spl8_73
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f632,f7328]) ).
fof(f9105,plain,
( spl8_1
| ~ spl8_12
| ~ spl8_83
| ~ spl8_124
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f8909,f7324,f5626,f689,f330,f278]) ).
fof(f8909,plain,
( e0 = e1
| ~ spl8_12
| ~ spl8_83
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f8908,f690]) ).
fof(f8908,plain,
( e1 = op(e1,e1)
| ~ spl8_12
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f332,f7328]) ).
fof(f8910,plain,
( spl8_5
| ~ spl8_84
| ~ spl8_87
| ~ spl8_124
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f8827,f7324,f5626,f708,f693,f298]) ).
fof(f8827,plain,
( e1 = e3
| ~ spl8_84
| ~ spl8_87
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f8148,f7328]) ).
fof(f8148,plain,
( e2 = e3
| ~ spl8_84
| ~ spl8_87
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f8147,f694]) ).
fof(f8147,plain,
( e3 = op(e0,e1)
| ~ spl8_87
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f709,f7328]) ).
fof(f8737,plain,
( spl8_93
| spl8_2
| ~ spl8_75
| ~ spl8_103
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f8677,f1189,f797,f644,f283,f736]) ).
fof(f8677,plain,
( e0 = e2
| e0 = op(e3,e2)
| ~ spl8_75
| ~ spl8_103
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f8676]) ).
fof(f8676,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e2)
| ~ spl8_75
| ~ spl8_103
| ~ spl8_117 ),
inference(forward_demodulation,[],[f8646,f799]) ).
fof(f8646,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_75
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f8477]) ).
fof(f8477,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_75
| ~ spl8_117 ),
inference(forward_demodulation,[],[f1617,f646]) ).
fof(f8642,plain,
( spl8_74
| spl8_6
| spl8_5
| spl8_3
| ~ spl8_18
| ~ spl8_88
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f8330,f1142,f712,f357,f288,f298,f303,f634]) ).
fof(f8330,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_113 ),
inference(forward_demodulation,[],[f8329,f359]) ).
fof(f8329,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| ~ spl8_88
| ~ spl8_113 ),
inference(forward_demodulation,[],[f4713,f1144]) ).
fof(f8635,plain,
( spl8_92
| spl8_5
| spl8_6
| ~ spl8_12
| ~ spl8_103
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f8554,f5626,f797,f330,f303,f298,f732]) ).
fof(f8554,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl8_12
| ~ spl8_103
| ~ spl8_124 ),
inference(duplicate_literal_removal,[],[f8553]) ).
fof(f8553,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| ~ spl8_12
| ~ spl8_103
| ~ spl8_124 ),
inference(forward_demodulation,[],[f7307,f799]) ).
fof(f7307,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_124 ),
inference(forward_demodulation,[],[f3100,f5628]) ).
fof(f3100,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e0,e2)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f148,f332]) ).
fof(f8599,plain,
( spl8_101
| spl8_4
| spl8_1
| ~ spl8_78
| ~ spl8_80
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f8542,f1193,f675,f662,f278,f293,f786]) ).
fof(f8542,plain,
( e0 = e1
| e1 = e2
| e1 = op(e0,e3)
| ~ spl8_78
| ~ spl8_80
| ~ spl8_118 ),
inference(forward_demodulation,[],[f7526,f676]) ).
fof(f7526,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl8_78
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2159]) ).
fof(f2159,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl8_78
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2158,f1195]) ).
fof(f8510,plain,
( spl8_93
| spl8_2
| spl8_3
| ~ spl8_75
| ~ spl8_87
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f8479,f1189,f708,f644,f288,f283,f736]) ).
fof(f8479,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e2)
| ~ spl8_75
| ~ spl8_87
| ~ spl8_117 ),
inference(forward_demodulation,[],[f8478,f709]) ).
fof(f8478,plain,
( e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_75
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f8477]) ).
fof(f8462,plain,
( spl8_114
| spl8_115
| spl8_2
| ~ spl8_71
| ~ spl8_75 ),
inference(avatar_split_clause,[],[f8434,f644,f620,f283,f1166,f1162]) ).
fof(f8434,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_75 ),
inference(duplicate_literal_removal,[],[f8433]) ).
fof(f8433,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_75 ),
inference(forward_demodulation,[],[f1235,f622]) ).
fof(f8412,plain,
( spl8_8
| spl8_4
| spl8_1
| ~ spl8_78
| ~ spl8_80
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f8221,f679,f675,f662,f278,f293,f312]) ).
fof(f8221,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e3)
| ~ spl8_78
| ~ spl8_80
| ~ spl8_81 ),
inference(forward_demodulation,[],[f8154,f676]) ).
fof(f8154,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl8_78
| ~ spl8_81 ),
inference(duplicate_literal_removal,[],[f2201]) ).
fof(f2201,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl8_78
| ~ spl8_81 ),
inference(forward_demodulation,[],[f2158,f680]) ).
fof(f8385,plain,
( spl8_6
| spl8_5
| spl8_3
| ~ spl8_8
| ~ spl8_12
| ~ spl8_88
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f6199,f760,f712,f330,f312,f288,f298,f303]) ).
fof(f6199,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_8
| ~ spl8_12
| ~ spl8_88
| ~ spl8_96 ),
inference(forward_demodulation,[],[f6100,f762]) ).
fof(f6100,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_12
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f3654]) ).
fof(f3654,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_12
| ~ spl8_88 ),
inference(forward_demodulation,[],[f3613,f332]) ).
fof(f3613,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_88 ),
inference(forward_demodulation,[],[f3612,f713]) ).
fof(f8299,plain,
( spl8_4
| spl8_1
| ~ spl8_78
| ~ spl8_80
| ~ spl8_81
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f8219,f1193,f679,f675,f662,f278,f293]) ).
fof(f8219,plain,
( e0 = e1
| e1 = e2
| ~ spl8_78
| ~ spl8_80
| ~ spl8_81
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2245,f676]) ).
fof(f2245,plain,
( e1 = e2
| e1 = op(e3,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2161]) ).
fof(f2161,plain,
( e1 = e2
| e1 = e2
| e1 = op(e3,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2160,f680]) ).
fof(f2160,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl8_78
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2159]) ).
fof(f8262,plain,
( spl8_5
| ~ spl8_12
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f8228,f5015,f330,f298]) ).
fof(f8228,plain,
( e1 = e3
| ~ spl8_12
| ~ spl8_122 ),
inference(superposition,[],[f332,f5016]) ).
fof(f8150,plain,
( spl8_2
| ~ spl8_74
| ~ spl8_80
| ~ spl8_108
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f2633,f1193,f971,f675,f634,f283]) ).
fof(f2633,plain,
( e0 = e2
| ~ spl8_74
| ~ spl8_80
| ~ spl8_108
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2599,f2619]) ).
fof(f2619,plain,
( e0 = op(e1,e1)
| ~ spl8_74
| ~ spl8_80
| ~ spl8_108 ),
inference(forward_demodulation,[],[f676,f2321]) ).
fof(f2599,plain,
( e2 = op(e1,e1)
| ~ spl8_74
| ~ spl8_108
| ~ spl8_118 ),
inference(forward_demodulation,[],[f1195,f2321]) ).
fof(f8024,plain,
( spl8_108
| ~ spl8_124
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f7642,f7324,f5626,f971]) ).
fof(f7799,plain,
( spl8_1
| ~ spl8_83
| ~ spl8_113
| ~ spl8_124
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f7659,f7324,f5626,f1142,f689,f278]) ).
fof(f7659,plain,
( e0 = e1
| ~ spl8_83
| ~ spl8_113
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f7658,f690]) ).
fof(f7658,plain,
( e1 = op(e1,e1)
| ~ spl8_113
| ~ spl8_124
| ~ spl8_126 ),
inference(forward_demodulation,[],[f1144,f7328]) ).
fof(f7798,plain,
( ~ spl8_13
| ~ spl8_71 ),
inference(avatar_split_clause,[],[f6121,f620,f335]) ).
fof(f6121,plain,
( ~ sP4
| ~ spl8_71 ),
inference(trivial_inequality_removal,[],[f2183]) ).
fof(f7514,plain,
( spl8_4
| spl8_6
| spl8_2
| ~ spl8_14
| ~ spl8_89
| ~ spl8_93
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f7503,f5015,f736,f718,f339,f283,f303,f293]) ).
fof(f7503,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_14
| ~ spl8_89
| ~ spl8_93
| ~ spl8_122 ),
inference(duplicate_literal_removal,[],[f7502]) ).
fof(f7502,plain,
( e0 = e2
| e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_14
| ~ spl8_89
| ~ spl8_93
| ~ spl8_122 ),
inference(forward_demodulation,[],[f7501,f341]) ).
fof(f7501,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| e2 = op(e0,e2)
| ~ spl8_89
| ~ spl8_93
| ~ spl8_122 ),
inference(forward_demodulation,[],[f5723,f737]) ).
fof(f5723,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| ~ spl8_89
| ~ spl8_122 ),
inference(forward_demodulation,[],[f3353,f5016]) ).
fof(f3353,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_89 ),
inference(forward_demodulation,[],[f146,f719]) ).
fof(f719,plain,
( e1 = op(e2,e2)
| ~ spl8_89 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f7495,plain,
( spl8_122
| spl8_5
| spl8_3
| ~ spl8_14
| ~ spl8_89
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f7342,f736,f718,f339,f288,f298,f5015]) ).
fof(f7342,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl8_14
| ~ spl8_89
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f5062]) ).
fof(f5062,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| ~ spl8_14
| ~ spl8_89
| ~ spl8_93 ),
inference(forward_demodulation,[],[f5061,f341]) ).
fof(f5061,plain,
( e1 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_89
| ~ spl8_93 ),
inference(forward_demodulation,[],[f1964,f719]) ).
fof(f7465,plain,
( ~ spl8_82
| ~ spl8_107
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f7460,f656,f965,f683]) ).
fof(f7460,plain,
( e2 != op(e3,e1)
| e3 != op(e1,e1)
| ~ spl8_77 ),
inference(trivial_inequality_removal,[],[f7459]) ).
fof(f7459,plain,
( e1 != e1
| e2 != op(e3,e1)
| e3 != op(e1,e1)
| ~ spl8_77 ),
inference(forward_demodulation,[],[f274,f657]) ).
fof(f274,plain,
( op(e0,e0) != e1
| e2 != op(e3,e1)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f273]) ).
fof(f273,plain,
( op(e0,e0) != e1
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f227]) ).
fof(f227,plain,
( op(e0,e0) != e1
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( op(e0,e0) != e1
| e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( op(e0,e0) = e1
& e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e3 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f7456,plain,
( spl8_82
| spl8_6
| ~ spl8_73
| ~ spl8_84
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f7376,f965,f693,f630,f303,f683]) ).
fof(f7376,plain,
( e2 = e3
| e3 = op(e1,e1)
| ~ spl8_73
| ~ spl8_84
| ~ spl8_107 ),
inference(duplicate_literal_removal,[],[f7375]) ).
fof(f7375,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl8_73
| ~ spl8_84
| ~ spl8_107 ),
inference(forward_demodulation,[],[f7374,f694]) ).
fof(f7374,plain,
( e2 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_107 ),
inference(duplicate_literal_removal,[],[f7373]) ).
fof(f7373,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_107 ),
inference(forward_demodulation,[],[f3883,f967]) ).
fof(f3883,plain,
( e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f140,f632]) ).
fof(f7431,plain,
( spl8_1
| ~ spl8_93
| ~ spl8_126 ),
inference(avatar_split_clause,[],[f7423,f7324,f736,f278]) ).
fof(f7423,plain,
( e0 = e1
| ~ spl8_93
| ~ spl8_126 ),
inference(superposition,[],[f737,f7326]) ).
fof(f7338,plain,
( spl8_87
| spl8_5
| spl8_6
| ~ spl8_12
| ~ spl8_89
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f7305,f5626,f718,f330,f303,f298,f708]) ).
fof(f7305,plain,
( e2 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89
| ~ spl8_124 ),
inference(forward_demodulation,[],[f6101,f5628]) ).
fof(f6101,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89 ),
inference(duplicate_literal_removal,[],[f1817]) ).
fof(f1817,plain,
( e1 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89 ),
inference(forward_demodulation,[],[f1816,f332]) ).
fof(f1816,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| ~ spl8_89 ),
inference(forward_demodulation,[],[f148,f719]) ).
fof(f7327,plain,
( spl8_126
| spl8_5
| spl8_1
| ~ spl8_72
| ~ spl8_74
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f7248,f675,f634,f624,f278,f298,f7324]) ).
fof(f7248,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e2)
| ~ spl8_72
| ~ spl8_74
| ~ spl8_80 ),
inference(forward_demodulation,[],[f4600,f676]) ).
fof(f4600,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl8_72
| ~ spl8_74 ),
inference(duplicate_literal_removal,[],[f1811]) ).
fof(f1811,plain,
( e1 = e3
| e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| ~ spl8_72
| ~ spl8_74 ),
inference(forward_demodulation,[],[f1810,f626]) ).
fof(f7279,plain,
( spl8_124
| spl8_2
| spl8_6
| ~ spl8_72
| ~ spl8_74
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f7244,f675,f634,f624,f303,f283,f5626]) ).
fof(f7244,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e2)
| ~ spl8_72
| ~ spl8_74
| ~ spl8_80 ),
inference(duplicate_literal_removal,[],[f7243]) ).
fof(f7243,plain,
( e2 = e3
| e0 = e2
| e2 = e3
| e2 = op(e3,e2)
| ~ spl8_72
| ~ spl8_74
| ~ spl8_80 ),
inference(forward_demodulation,[],[f7242,f626]) ).
fof(f7214,plain,
( spl8_95
| spl8_1
| spl8_4
| ~ spl8_97
| ~ spl8_102
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f7206,f812,f793,f764,f293,f278,f749]) ).
fof(f7206,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_97
| ~ spl8_102
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f7205]) ).
fof(f7205,plain,
( e1 = e2
| e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| ~ spl8_97
| ~ spl8_102
| ~ spl8_104 ),
inference(forward_demodulation,[],[f7204,f814]) ).
fof(f7204,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_97
| ~ spl8_102 ),
inference(forward_demodulation,[],[f5034,f766]) ).
fof(f7195,plain,
( spl8_95
| spl8_1
| spl8_5
| spl8_4
| ~ spl8_97
| ~ spl8_104
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f7164,f982,f812,f764,f293,f298,f278,f749]) ).
fof(f7164,plain,
( e1 = e2
| e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_97
| ~ spl8_104
| ~ spl8_109 ),
inference(forward_demodulation,[],[f5173,f814]) ).
fof(f5173,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_97
| ~ spl8_109 ),
inference(forward_demodulation,[],[f5057,f984]) ).
fof(f5057,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl8_97 ),
inference(forward_demodulation,[],[f128,f766]) ).
fof(f7156,plain,
( spl8_121
| spl8_5
| spl8_6
| ~ spl8_73
| ~ spl8_78
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f7129,f718,f662,f630,f303,f298,f3971]) ).
fof(f7129,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_78
| ~ spl8_89 ),
inference(duplicate_literal_removal,[],[f7128]) ).
fof(f7128,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_78
| ~ spl8_89 ),
inference(forward_demodulation,[],[f6818,f664]) ).
fof(f6818,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_89 ),
inference(forward_demodulation,[],[f6386,f632]) ).
fof(f6386,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_89 ),
inference(forward_demodulation,[],[f147,f719]) ).
fof(f7118,plain,
( spl8_2
| ~ spl8_14
| ~ spl8_78
| ~ spl8_111
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f7111,f6616,f990,f662,f339,f283]) ).
fof(f7111,plain,
( e0 = e2
| ~ spl8_14
| ~ spl8_78
| ~ spl8_111
| ~ spl8_125 ),
inference(forward_demodulation,[],[f7110,f341]) ).
fof(f7110,plain,
( e2 = op(e0,e2)
| ~ spl8_78
| ~ spl8_111
| ~ spl8_125 ),
inference(forward_demodulation,[],[f992,f6739]) ).
fof(f6739,plain,
( e2 = e3
| ~ spl8_78
| ~ spl8_125 ),
inference(superposition,[],[f664,f6618]) ).
fof(f7091,plain,
( spl8_2
| ~ spl8_14
| ~ spl8_78
| ~ spl8_81
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f7090,f6616,f679,f662,f339,f283]) ).
fof(f7090,plain,
( e0 = e2
| ~ spl8_14
| ~ spl8_78
| ~ spl8_81
| ~ spl8_125 ),
inference(forward_demodulation,[],[f7089,f341]) ).
fof(f7089,plain,
( e2 = op(e0,e2)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_125 ),
inference(forward_demodulation,[],[f680,f6739]) ).
fof(f7035,plain,
( spl8_106
| spl8_2
| spl8_3
| ~ spl8_73
| ~ spl8_88
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f7001,f986,f712,f630,f288,f283,f859]) ).
fof(f7001,plain,
( e0 = e3
| e0 = e2
| e0 = op(e3,e1)
| ~ spl8_73
| ~ spl8_88
| ~ spl8_110 ),
inference(forward_demodulation,[],[f6888,f988]) ).
fof(f6888,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl8_73
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f6034]) ).
fof(f6034,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl8_73
| ~ spl8_88 ),
inference(forward_demodulation,[],[f1685,f632]) ).
fof(f6972,plain,
( spl8_79
| spl8_6
| spl8_5
| ~ spl8_78
| ~ spl8_101
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f6915,f1193,f786,f662,f298,f303,f666]) ).
fof(f6915,plain,
( e1 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl8_78
| ~ spl8_101
| ~ spl8_118 ),
inference(forward_demodulation,[],[f3037,f788]) ).
fof(f3037,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2154]) ).
fof(f2154,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2153,f1195]) ).
fof(f6903,plain,
( spl8_4
| ~ spl8_16
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f6902,f712,f348,f293]) ).
fof(f6902,plain,
( e1 = e2
| ~ spl8_16
| ~ spl8_88 ),
inference(forward_demodulation,[],[f713,f350]) ).
fof(f350,plain,
( e1 = op(e1,e1)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f6878,plain,
( spl8_76
| spl8_5
| spl8_3
| spl8_6
| ~ spl8_14
| ~ spl8_89
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f4969,f1189,f718,f339,f303,f288,f298,f648]) ).
fof(f4969,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_14
| ~ spl8_89
| ~ spl8_117 ),
inference(forward_demodulation,[],[f4715,f1191]) ).
fof(f4715,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| ~ spl8_14
| ~ spl8_89 ),
inference(forward_demodulation,[],[f1816,f341]) ).
fof(f6853,plain,
( spl8_9
| spl8_7
| spl8_78
| ~ spl8_79 ),
inference(avatar_split_clause,[],[f6688,f666,f662,f308,f317]) ).
fof(f6688,plain,
( e2 = op(e2,e3)
| sP7
| sP6
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f1931]) ).
fof(f1931,plain,
( e3 != e3
| e2 = op(e2,e3)
| sP7
| sP6
| ~ spl8_79 ),
inference(forward_demodulation,[],[f203,f668]) ).
fof(f203,plain,
( e3 != op(e3,e3)
| e2 = op(e2,e3)
| sP7
| sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f6803,plain,
( spl8_1
| ~ spl8_14
| ~ spl8_78
| ~ spl8_101
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f6802,f6616,f786,f662,f339,f278]) ).
fof(f6802,plain,
( e0 = e1
| ~ spl8_14
| ~ spl8_78
| ~ spl8_101
| ~ spl8_125 ),
inference(forward_demodulation,[],[f6801,f341]) ).
fof(f6801,plain,
( e1 = op(e0,e2)
| ~ spl8_78
| ~ spl8_101
| ~ spl8_125 ),
inference(forward_demodulation,[],[f788,f6739]) ).
fof(f6752,plain,
( spl8_90
| ~ spl8_78
| ~ spl8_116
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f6751,f6616,f1178,f662,f722]) ).
fof(f6751,plain,
( e0 = op(e1,e2)
| ~ spl8_78
| ~ spl8_116
| ~ spl8_125 ),
inference(forward_demodulation,[],[f1180,f6739]) ).
fof(f6749,plain,
( spl8_116
| spl8_80
| spl8_2
| ~ spl8_78
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f6734,f679,f662,f283,f675,f1178]) ).
fof(f6734,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_78
| ~ spl8_81 ),
inference(duplicate_literal_removal,[],[f6733]) ).
fof(f6733,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| ~ spl8_78
| ~ spl8_81 ),
inference(forward_demodulation,[],[f2144,f680]) ).
fof(f2144,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| ~ spl8_78 ),
inference(forward_demodulation,[],[f150,f664]) ).
fof(f6732,plain,
( spl8_9
| spl8_7
| spl8_6
| ~ spl8_79
| ~ spl8_125 ),
inference(avatar_split_clause,[],[f6696,f6616,f666,f303,f308,f317]) ).
fof(f6696,plain,
( e2 = e3
| sP7
| sP6
| ~ spl8_79
| ~ spl8_125 ),
inference(forward_demodulation,[],[f6474,f6618]) ).
fof(f6474,plain,
( e2 = op(e2,e3)
| sP7
| sP6
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f1931]) ).
fof(f6708,plain,
( ~ spl8_73
| spl8_78
| ~ spl8_79
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f1923,f697,f666,f662,f630]) ).
fof(f1923,plain,
( e2 != op(e2,e1)
| spl8_78
| ~ spl8_79
| ~ spl8_85 ),
inference(forward_demodulation,[],[f663,f1882]) ).
fof(f663,plain,
( e2 != op(e2,e3)
| spl8_78 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f6685,plain,
( spl8_122
| spl8_6
| spl8_5
| ~ spl8_8
| ~ spl8_16
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f6680,f812,f348,f312,f298,f303,f5015]) ).
fof(f6680,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl8_8
| ~ spl8_16
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f6679]) ).
fof(f6679,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl8_8
| ~ spl8_16
| ~ spl8_104 ),
inference(forward_demodulation,[],[f6613,f350]) ).
fof(f6613,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| ~ spl8_8
| ~ spl8_104 ),
inference(forward_demodulation,[],[f3612,f814]) ).
fof(f6677,plain,
( spl8_22
| ~ spl8_16
| ~ spl8_83 ),
inference(avatar_split_clause,[],[f6676,f689,f348,f375]) ).
fof(f375,plain,
( spl8_22
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
fof(f6676,plain,
( e0 = op(e0,e0)
| ~ spl8_16
| ~ spl8_83 ),
inference(forward_demodulation,[],[f690,f866]) ).
fof(f866,plain,
( e0 = e1
| ~ spl8_16
| ~ spl8_83 ),
inference(superposition,[],[f690,f350]) ).
fof(f6665,plain,
( spl8_83
| spl8_116
| spl8_3
| spl8_2
| ~ spl8_104
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f6630,f5015,f812,f283,f288,f1178,f689]) ).
fof(f6630,plain,
( e0 = e2
| e0 = e3
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| ~ spl8_104
| ~ spl8_122 ),
inference(forward_demodulation,[],[f6051,f814]) ).
fof(f6659,plain,
( spl8_99
| spl8_16
| spl8_4
| spl8_1
| ~ spl8_73
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f6537,f859,f630,f278,f293,f348,f778]) ).
fof(f6537,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_73
| ~ spl8_106 ),
inference(forward_demodulation,[],[f1618,f861]) ).
fof(f1618,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f136,f632]) ).
fof(f6639,plain,
( spl8_110
| spl8_82
| spl8_3
| spl8_6
| ~ spl8_73
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f4144,f859,f630,f303,f288,f683,f986]) ).
fof(f4144,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3526,f632]) ).
fof(f3526,plain,
( e0 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_106 ),
inference(forward_demodulation,[],[f140,f861]) ).
fof(f6628,plain,
( spl8_122
| spl8_5
| spl8_3
| spl8_6
| ~ spl8_14
| ~ spl8_89
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f6609,f5626,f718,f339,f303,f288,f298,f5015]) ).
fof(f6609,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl8_14
| ~ spl8_89
| ~ spl8_124 ),
inference(forward_demodulation,[],[f4715,f5628]) ).
fof(f6619,plain,
( spl8_125
| spl8_5
| spl8_3
| spl8_6
| ~ spl8_73
| ~ spl8_89
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f6546,f764,f718,f630,f303,f288,f298,f6616]) ).
fof(f6546,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| ~ spl8_73
| ~ spl8_89
| ~ spl8_97 ),
inference(forward_demodulation,[],[f6480,f632]) ).
fof(f6480,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e3)
| e3 = op(e2,e1)
| ~ spl8_89
| ~ spl8_97 ),
inference(forward_demodulation,[],[f6386,f766]) ).
fof(f6608,plain,
( spl8_76
| spl8_5
| spl8_3
| ~ spl8_14
| ~ spl8_89
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f6416,f722,f718,f339,f288,f298,f648]) ).
fof(f6416,plain,
( e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_14
| ~ spl8_89
| ~ spl8_90 ),
inference(duplicate_literal_removal,[],[f6415]) ).
fof(f6415,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e3,e2)
| ~ spl8_14
| ~ spl8_89
| ~ spl8_90 ),
inference(forward_demodulation,[],[f4715,f723]) ).
fof(f6600,plain,
( spl8_124
| spl8_4
| spl8_2
| ~ spl8_14
| ~ spl8_89
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f6414,f722,f718,f339,f283,f293,f5626]) ).
fof(f6414,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl8_14
| ~ spl8_89
| ~ spl8_90 ),
inference(duplicate_literal_removal,[],[f6413]) ).
fof(f6413,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl8_14
| ~ spl8_89
| ~ spl8_90 ),
inference(forward_demodulation,[],[f5235,f723]) ).
fof(f5235,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_14
| ~ spl8_89 ),
inference(forward_demodulation,[],[f3353,f341]) ).
fof(f6579,plain,
( spl8_4
| spl8_6
| spl8_2
| ~ spl8_72
| ~ spl8_76
| ~ spl8_85
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f6543,f859,f697,f648,f624,f283,f303,f293]) ).
fof(f6543,plain,
( e0 = e2
| e2 = e3
| e1 = e2
| ~ spl8_72
| ~ spl8_76
| ~ spl8_85
| ~ spl8_106 ),
inference(forward_demodulation,[],[f6471,f861]) ).
fof(f6471,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_76
| ~ spl8_85 ),
inference(duplicate_literal_removal,[],[f4137]) ).
fof(f4137,plain,
( e2 = e3
| e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_76
| ~ spl8_85 ),
inference(forward_demodulation,[],[f3748,f626]) ).
fof(f3748,plain,
( e1 = e2
| e2 = e3
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_76
| ~ spl8_85 ),
inference(forward_demodulation,[],[f1741,f698]) ).
fof(f6577,plain,
( ~ spl8_80
| ~ spl8_77
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f6384,f812,f656,f675]) ).
fof(f6384,plain,
( e0 != op(e3,e3)
| ~ spl8_77
| ~ spl8_104 ),
inference(trivial_inequality_removal,[],[f6383]) ).
fof(f6383,plain,
( e1 != e1
| e0 != op(e3,e3)
| ~ spl8_77
| ~ spl8_104 ),
inference(forward_demodulation,[],[f6382,f657]) ).
fof(f6382,plain,
( e0 != op(e3,e3)
| op(e0,e0) != e1
| ~ spl8_104 ),
inference(trivial_inequality_removal,[],[f6381]) ).
fof(f6381,plain,
( e2 != e2
| e0 != op(e3,e3)
| op(e0,e0) != e1
| ~ spl8_104 ),
inference(forward_demodulation,[],[f248,f814]) ).
fof(f248,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e0)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f247]) ).
fof(f247,plain,
( e0 != op(e3,e3)
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f214]) ).
fof(f214,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f6535,plain,
( spl8_1
| ~ spl8_76
| ~ spl8_79
| ~ spl8_85
| ~ spl8_90 ),
inference(avatar_split_clause,[],[f6512,f722,f697,f666,f648,f278]) ).
fof(f6512,plain,
( e0 = e1
| ~ spl8_76
| ~ spl8_79
| ~ spl8_85
| ~ spl8_90 ),
inference(forward_demodulation,[],[f6511,f723]) ).
fof(f6511,plain,
( e1 = op(e1,e2)
| ~ spl8_76
| ~ spl8_79
| ~ spl8_85 ),
inference(forward_demodulation,[],[f650,f1882]) ).
fof(f6465,plain,
( spl8_2
| ~ spl8_14
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f3965,f797,f339,f283]) ).
fof(f3965,plain,
( e0 = e2
| ~ spl8_14
| ~ spl8_103 ),
inference(superposition,[],[f799,f341]) ).
fof(f6357,plain,
( ~ spl8_90
| ~ spl8_104
| spl8_116
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f6311,f5618,f1178,f812,f722]) ).
fof(f6311,plain,
( e0 != op(e1,e2)
| ~ spl8_104
| spl8_116
| ~ spl8_123 ),
inference(forward_demodulation,[],[f1179,f6287]) ).
fof(f1179,plain,
( e0 != op(e1,e3)
| spl8_116 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f6290,plain,
( spl8_90
| spl8_93
| spl8_1
| spl8_2
| ~ spl8_89
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f3611,f797,f718,f283,f278,f736,f722]) ).
fof(f3611,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl8_89
| ~ spl8_103 ),
inference(forward_demodulation,[],[f3351,f799]) ).
fof(f3351,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| ~ spl8_89 ),
inference(forward_demodulation,[],[f142,f719]) ).
fof(f6286,plain,
( spl8_93
| spl8_1
| spl8_2
| ~ spl8_89
| ~ spl8_103
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f6267,f1189,f797,f718,f283,f278,f736]) ).
fof(f6267,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_89
| ~ spl8_103
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f6266]) ).
fof(f6266,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| ~ spl8_89
| ~ spl8_103
| ~ spl8_117 ),
inference(forward_demodulation,[],[f5422,f799]) ).
fof(f5422,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_89
| ~ spl8_117 ),
inference(forward_demodulation,[],[f1617,f719]) ).
fof(f6257,plain,
( spl8_119
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_71
| ~ spl8_89
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5710,f1166,f718,f620,f303,f298,f288,f3323]) ).
fof(f5710,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl8_71
| ~ spl8_89
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3903,f622]) ).
fof(f3903,plain,
( e1 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_89
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3902,f719]) ).
fof(f3902,plain,
( e0 = e3
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| ~ spl8_115 ),
inference(forward_demodulation,[],[f147,f1168]) ).
fof(f6232,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f6160,f797,f736,f718,f330,f303,f288,f298]) ).
fof(f6160,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93
| ~ spl8_103 ),
inference(forward_demodulation,[],[f6159,f799]) ).
fof(f6159,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93 ),
inference(forward_demodulation,[],[f5215,f737]) ).
fof(f5215,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89 ),
inference(duplicate_literal_removal,[],[f1817]) ).
fof(f6099,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_73
| ~ spl8_88
| ~ spl8_99
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f6074,f859,f778,f712,f630,f303,f298,f288]) ).
fof(f6074,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_73
| ~ spl8_88
| ~ spl8_99
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f6073]) ).
fof(f6073,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_73
| ~ spl8_88
| ~ spl8_99
| ~ spl8_106 ),
inference(forward_demodulation,[],[f4965,f713]) ).
fof(f4965,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl8_73
| ~ spl8_99
| ~ spl8_106 ),
inference(forward_demodulation,[],[f4964,f780]) ).
fof(f4964,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_73
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3883,f861]) ).
fof(f6072,plain,
( spl8_106
| spl8_2
| spl8_1
| ~ spl8_73
| ~ spl8_88
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f6032,f778,f712,f630,f278,f283,f859]) ).
fof(f6032,plain,
( e0 = e1
| e0 = e2
| e0 = op(e3,e1)
| ~ spl8_73
| ~ spl8_88
| ~ spl8_99 ),
inference(forward_demodulation,[],[f5925,f780]) ).
fof(f5925,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl8_73
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f1612]) ).
fof(f1612,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| ~ spl8_73
| ~ spl8_88 ),
inference(forward_demodulation,[],[f1611,f713]) ).
fof(f1611,plain,
( e0 = e2
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1)
| ~ spl8_73 ),
inference(forward_demodulation,[],[f134,f632]) ).
fof(f6025,plain,
( spl8_82
| ~ spl8_95
| ~ spl8_105
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f5955,f5015,f816,f749,f683]) ).
fof(f5955,plain,
( e3 = op(e1,e1)
| ~ spl8_95
| ~ spl8_105
| ~ spl8_122 ),
inference(forward_demodulation,[],[f5016,f5909]) ).
fof(f5996,plain,
( spl8_5
| ~ spl8_20
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f5672,f5618,f366,f298]) ).
fof(f5672,plain,
( e1 = e3
| ~ spl8_20
| ~ spl8_123 ),
inference(superposition,[],[f368,f5620]) ).
fof(f5917,plain,
( ~ spl8_21
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f188,f375,f371]) ).
fof(f371,plain,
( spl8_21
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
fof(f188,plain,
( e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f5894,plain,
( spl8_5
| ~ spl8_94
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f4036,f3971,f745,f298]) ).
fof(f4036,plain,
( e1 = e3
| ~ spl8_94
| ~ spl8_121 ),
inference(superposition,[],[f3973,f747]) ).
fof(f5872,plain,
( ~ spl8_91
| ~ spl8_82
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5856,f1166,f683,f726]) ).
fof(f5856,plain,
( e2 != op(e3,e3)
| ~ spl8_82
| ~ spl8_115 ),
inference(trivial_inequality_removal,[],[f5855]) ).
fof(f5855,plain,
( e0 != e0
| e2 != op(e3,e3)
| ~ spl8_82
| ~ spl8_115 ),
inference(forward_demodulation,[],[f5854,f1168]) ).
fof(f5854,plain,
( e0 != op(e2,e3)
| e2 != op(e3,e3)
| ~ spl8_82 ),
inference(trivial_inequality_removal,[],[f5853]) ).
fof(f5853,plain,
( e3 != e3
| e0 != op(e2,e3)
| e2 != op(e3,e3)
| ~ spl8_82 ),
inference(forward_demodulation,[],[f254,f684]) ).
fof(f254,plain,
( e3 != op(e1,e1)
| e0 != op(e2,e3)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f253]) ).
fof(f253,plain,
( e3 != op(e1,e1)
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f217]) ).
fof(f217,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f5852,plain,
( spl8_91
| spl8_2
| spl8_4
| spl8_6
| ~ spl8_8
| ~ spl8_111
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5839,f1166,f990,f312,f303,f293,f283,f726]) ).
fof(f5839,plain,
( e2 = e3
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl8_8
| ~ spl8_111
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3724,f992]) ).
fof(f3724,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl8_8
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3723,f314]) ).
fof(f3723,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl8_115 ),
inference(forward_demodulation,[],[f154,f1168]) ).
fof(f5843,plain,
( spl8_82
| spl8_6
| spl8_5
| ~ spl8_8
| ~ spl8_20
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f5805,f1189,f366,f312,f298,f303,f683]) ).
fof(f5805,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl8_8
| ~ spl8_20
| ~ spl8_117 ),
inference(duplicate_literal_removal,[],[f5804]) ).
fof(f5804,plain,
( e1 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| ~ spl8_8
| ~ spl8_20
| ~ spl8_117 ),
inference(forward_demodulation,[],[f5803,f368]) ).
fof(f5803,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_117 ),
inference(forward_demodulation,[],[f5516,f314]) ).
fof(f5516,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0)
| ~ spl8_117 ),
inference(forward_demodulation,[],[f139,f1191]) ).
fof(f5838,plain,
( spl8_2
| ~ spl8_90
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f5829,f1189,f722,f283]) ).
fof(f5829,plain,
( e0 = e2
| ~ spl8_90
| ~ spl8_117 ),
inference(superposition,[],[f1191,f723]) ).
fof(f5790,plain,
( spl8_6
| spl8_3
| spl8_5
| ~ spl8_8
| ~ spl8_91
| ~ spl8_101
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5771,f1166,f786,f726,f312,f298,f288,f303]) ).
fof(f5771,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_8
| ~ spl8_91
| ~ spl8_101
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f5770]) ).
fof(f5770,plain,
( e1 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_8
| ~ spl8_91
| ~ spl8_101
| ~ spl8_115 ),
inference(forward_demodulation,[],[f5769,f788]) ).
fof(f5769,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_91
| ~ spl8_115 ),
inference(forward_demodulation,[],[f5768,f314]) ).
fof(f5768,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_115 ),
inference(forward_demodulation,[],[f2383,f1168]) ).
fof(f5767,plain,
( spl8_6
| ~ spl8_79
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f2426,f726,f666,f303]) ).
fof(f2426,plain,
( e2 = e3
| ~ spl8_79
| ~ spl8_91 ),
inference(forward_demodulation,[],[f668,f727]) ).
fof(f5745,plain,
( spl8_91
| spl8_2
| spl8_4
| ~ spl8_8
| ~ spl8_101
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5074,f1166,f786,f312,f293,f283,f726]) ).
fof(f5074,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl8_8
| ~ spl8_101
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f5073]) ).
fof(f5073,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl8_8
| ~ spl8_101
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3724,f788]) ).
fof(f5719,plain,
( spl8_90
| spl8_93
| spl8_1
| ~ spl8_89
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f5705,f782,f718,f278,f736,f722]) ).
fof(f5705,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl8_89
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f5704]) ).
fof(f5704,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl8_89
| ~ spl8_100 ),
inference(forward_demodulation,[],[f3351,f784]) ).
fof(f5712,plain,
( spl8_122
| spl8_6
| spl8_5
| ~ spl8_8
| ~ spl8_20
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f4776,f712,f366,f312,f298,f303,f5015]) ).
fof(f4776,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl8_8
| ~ spl8_20
| ~ spl8_88 ),
inference(duplicate_literal_removal,[],[f4775]) ).
fof(f4775,plain,
( e1 = e3
| e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| ~ spl8_8
| ~ spl8_20
| ~ spl8_88 ),
inference(forward_demodulation,[],[f4774,f368]) ).
fof(f4774,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_88 ),
inference(forward_demodulation,[],[f3612,f713]) ).
fof(f5702,plain,
( spl8_4
| spl8_117
| ~ spl8_20
| ~ spl8_89
| ~ spl8_100
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f5692,f5618,f782,f718,f366,f1189,f293]) ).
fof(f5692,plain,
( e2 = op(e1,e2)
| e1 = e2
| ~ spl8_20
| ~ spl8_89
| ~ spl8_100
| ~ spl8_123 ),
inference(duplicate_literal_removal,[],[f5691]) ).
fof(f5691,plain,
( e2 = op(e1,e2)
| e1 = e2
| e2 = op(e1,e2)
| ~ spl8_20
| ~ spl8_89
| ~ spl8_100
| ~ spl8_123 ),
inference(forward_demodulation,[],[f5665,f5672]) ).
fof(f5665,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_89
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f5664]) ).
fof(f5664,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_89
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1764,f719]) ).
fof(f5682,plain,
( spl8_124
| spl8_4
| spl8_2
| ~ spl8_89
| ~ spl8_90
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f5660,f782,f722,f718,f283,f293,f5626]) ).
fof(f5660,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e2)
| ~ spl8_89
| ~ spl8_90
| ~ spl8_100 ),
inference(forward_demodulation,[],[f3983,f723]) ).
fof(f3983,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_89
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f3554]) ).
fof(f3554,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_89
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1764,f719]) ).
fof(f5644,plain,
( spl8_6
| ~ spl8_76
| ~ spl8_124 ),
inference(avatar_split_clause,[],[f5630,f5626,f648,f303]) ).
fof(f5630,plain,
( e2 = e3
| ~ spl8_76
| ~ spl8_124 ),
inference(superposition,[],[f5628,f650]) ).
fof(f5638,plain,
( spl8_90
| spl8_93
| spl8_1
| spl8_3
| ~ spl8_87
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f3715,f718,f708,f288,f278,f736,f722]) ).
fof(f3715,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| ~ spl8_87
| ~ spl8_89 ),
inference(forward_demodulation,[],[f3351,f709]) ).
fof(f5629,plain,
( spl8_117
| spl8_124
| spl8_4
| spl8_6
| ~ spl8_87
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f3354,f718,f708,f303,f293,f5626,f1189]) ).
fof(f3354,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| ~ spl8_87
| ~ spl8_89 ),
inference(forward_demodulation,[],[f3353,f709]) ).
fof(f5621,plain,
( spl8_123
| spl8_3
| spl8_6
| spl8_5
| ~ spl8_71
| ~ spl8_77
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f5589,f768,f656,f620,f298,f303,f288,f5618]) ).
fof(f5589,plain,
( e1 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| ~ spl8_71
| ~ spl8_77
| ~ spl8_98 ),
inference(forward_demodulation,[],[f5288,f657]) ).
fof(f5288,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_98 ),
inference(forward_demodulation,[],[f5287,f622]) ).
fof(f5287,plain,
( e0 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_98 ),
inference(forward_demodulation,[],[f132,f770]) ).
fof(f5600,plain,
( spl8_79
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_8
| ~ spl8_81
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5526,f1166,f679,f312,f303,f298,f288,f666]) ).
fof(f5526,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| ~ spl8_8
| ~ spl8_81
| ~ spl8_115 ),
inference(forward_demodulation,[],[f5076,f680]) ).
fof(f5076,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3721,f314]) ).
fof(f3721,plain,
( e0 = e3
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_115 ),
inference(forward_demodulation,[],[f156,f1168]) ).
fof(f5585,plain,
( spl8_72
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_71
| ~ spl8_77
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f5462,f760,f656,f620,f303,f298,f288,f624]) ).
fof(f5462,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| ~ spl8_71
| ~ spl8_77
| ~ spl8_96 ),
inference(forward_demodulation,[],[f918,f622]) ).
fof(f918,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| ~ spl8_77
| ~ spl8_96 ),
inference(forward_demodulation,[],[f917,f657]) ).
fof(f917,plain,
( e0 = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| ~ spl8_96 ),
inference(forward_demodulation,[],[f132,f762]) ).
fof(f5573,plain,
( spl8_119
| spl8_6
| spl8_3
| ~ spl8_18
| ~ spl8_88
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f5564,f965,f712,f357,f288,f303,f3323]) ).
fof(f5564,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_107 ),
inference(forward_demodulation,[],[f5563,f359]) ).
fof(f5563,plain,
( e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_88
| ~ spl8_107 ),
inference(duplicate_literal_removal,[],[f5562]) ).
fof(f5562,plain,
( e2 = e3
| e2 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_88
| ~ spl8_107 ),
inference(forward_demodulation,[],[f4713,f967]) ).
fof(f5552,plain,
( spl8_93
| spl8_1
| spl8_3
| spl8_2
| ~ spl8_87
| ~ spl8_89
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f4351,f1189,f718,f708,f283,f288,f278,f736]) ).
fof(f4351,plain,
( e0 = e2
| e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_87
| ~ spl8_89
| ~ spl8_117 ),
inference(forward_demodulation,[],[f3715,f1191]) ).
fof(f5518,plain,
( spl8_120
| spl8_5
| spl8_3
| ~ spl8_10
| ~ spl8_85
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5513,f1166,f697,f321,f288,f298,f3329]) ).
fof(f5513,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl8_10
| ~ spl8_85
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f5512]) ).
fof(f5512,plain,
( e0 = e3
| e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| ~ spl8_10
| ~ spl8_85
| ~ spl8_115 ),
inference(forward_demodulation,[],[f5511,f323]) ).
fof(f5511,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_85
| ~ spl8_115 ),
inference(forward_demodulation,[],[f2106,f1168]) ).
fof(f2106,plain,
( e1 = e3
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_85 ),
inference(forward_demodulation,[],[f156,f698]) ).
fof(f5510,plain,
( spl8_91
| spl8_2
| spl8_6
| ~ spl8_10
| ~ spl8_115
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f5499,f3329,f1166,f321,f303,f283,f726]) ).
fof(f5499,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| ~ spl8_10
| ~ spl8_115
| ~ spl8_120 ),
inference(forward_demodulation,[],[f5418,f3331]) ).
fof(f5418,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl8_10
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f5417]) ).
fof(f5417,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e1,e3)
| ~ spl8_10
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3723,f323]) ).
fof(f5497,plain,
( spl8_8
| spl8_85
| spl8_1
| ~ spl8_10
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5354,f1166,f321,f278,f697,f312]) ).
fof(f5354,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl8_10
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f5353]) ).
fof(f5353,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| ~ spl8_10
| ~ spl8_115 ),
inference(forward_demodulation,[],[f4708,f323]) ).
fof(f4708,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl8_115 ),
inference(forward_demodulation,[],[f152,f1168]) ).
fof(f5488,plain,
( spl8_120
| spl8_6
| spl8_3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5466,f1166,f726,f321,f288,f303,f3329]) ).
fof(f5466,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f5465]) ).
fof(f5465,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115 ),
inference(forward_demodulation,[],[f5355,f323]) ).
fof(f5355,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3721,f727]) ).
fof(f5454,plain,
( spl8_91
| spl8_6
| spl8_2
| ~ spl8_74
| ~ spl8_76
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f5394,f768,f648,f634,f283,f303,f726]) ).
fof(f5394,plain,
( e0 = e2
| e2 = e3
| e2 = op(e3,e3)
| ~ spl8_74
| ~ spl8_76
| ~ spl8_98 ),
inference(forward_demodulation,[],[f2139,f770]) ).
fof(f2139,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(duplicate_literal_removal,[],[f2138]) ).
fof(f2138,plain,
( e2 = e3
| e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(forward_demodulation,[],[f1741,f636]) ).
fof(f5430,plain,
( spl8_85
| spl8_5
| spl8_1
| ~ spl8_74
| ~ spl8_76
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f5392,f768,f648,f634,f278,f298,f697]) ).
fof(f5392,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e3)
| ~ spl8_74
| ~ spl8_76
| ~ spl8_98 ),
inference(forward_demodulation,[],[f2150,f770]) ).
fof(f2150,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_74
| ~ spl8_76 ),
inference(duplicate_literal_removal,[],[f2149]) ).
fof(f5414,plain,
( spl8_85
| spl8_4
| spl8_1
| ~ spl8_10
| ~ spl8_115
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f5363,f1193,f1166,f321,f278,f293,f697]) ).
fof(f5363,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl8_10
| ~ spl8_115
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f5362]) ).
fof(f5362,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| ~ spl8_10
| ~ spl8_115
| ~ spl8_118 ),
inference(forward_demodulation,[],[f5361,f323]) ).
fof(f5361,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| ~ spl8_115
| ~ spl8_118 ),
inference(forward_demodulation,[],[f3096,f1168]) ).
fof(f5382,plain,
( spl8_93
| spl8_1
| spl8_3
| ~ spl8_12
| ~ spl8_87
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f4850,f718,f708,f330,f288,f278,f736]) ).
fof(f4850,plain,
( e0 = e3
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_12
| ~ spl8_87
| ~ spl8_89 ),
inference(forward_demodulation,[],[f4759,f709]) ).
fof(f4759,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89 ),
inference(duplicate_literal_removal,[],[f3691]) ).
fof(f3691,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89 ),
inference(forward_demodulation,[],[f3351,f332]) ).
fof(f5377,plain,
( spl8_6
| spl8_3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f5357,f1193,f1166,f726,f321,f288,f303]) ).
fof(f5357,plain,
( e0 = e3
| e2 = e3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f5356]) ).
fof(f5356,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115
| ~ spl8_118 ),
inference(forward_demodulation,[],[f3698,f323]) ).
fof(f3698,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_115
| ~ spl8_118 ),
inference(forward_demodulation,[],[f3681,f1168]) ).
fof(f3681,plain,
( e2 = e3
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f3097]) ).
fof(f5346,plain,
( spl8_6
| spl8_3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f5332,f1178,f1166,f726,f321,f288,f303]) ).
fof(f5332,plain,
( e0 = e3
| e2 = e3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f5331]) ).
fof(f5331,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| ~ spl8_10
| ~ spl8_91
| ~ spl8_115
| ~ spl8_116 ),
inference(forward_demodulation,[],[f5330,f323]) ).
fof(f5330,plain,
( e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_115
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f5329]) ).
fof(f5329,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_115
| ~ spl8_116 ),
inference(forward_demodulation,[],[f5090,f1180]) ).
fof(f5090,plain,
( e0 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_91
| ~ spl8_115 ),
inference(forward_demodulation,[],[f2383,f1168]) ).
fof(f5326,plain,
( spl8_91
| spl8_2
| ~ spl8_10
| ~ spl8_115
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f5242,f1178,f1166,f321,f283,f726]) ).
fof(f5242,plain,
( e0 = e2
| e2 = op(e3,e3)
| ~ spl8_10
| ~ spl8_115
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f5241]) ).
fof(f5241,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| ~ spl8_10
| ~ spl8_115
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4894,f323]) ).
fof(f4894,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl8_115
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f4893]) ).
fof(f4893,plain,
( e0 = e2
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| ~ spl8_115
| ~ spl8_116 ),
inference(forward_demodulation,[],[f3723,f1180]) ).
fof(f5281,plain,
( spl8_1
| ~ spl8_95
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f5247,f768,f749,f278]) ).
fof(f5247,plain,
( e0 = e1
| ~ spl8_95
| ~ spl8_98 ),
inference(forward_demodulation,[],[f751,f770]) ).
fof(f5280,plain,
( ~ spl8_13
| ~ spl8_71 ),
inference(avatar_split_clause,[],[f2184,f620,f335]) ).
fof(f2184,plain,
( ~ sP4
| ~ spl8_71 ),
inference(trivial_inequality_removal,[],[f2183]) ).
fof(f5214,plain,
( spl8_4
| ~ spl8_84
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f2364,f778,f693,f293]) ).
fof(f2364,plain,
( e1 = e2
| ~ spl8_84
| ~ spl8_99 ),
inference(superposition,[],[f780,f694]) ).
fof(f5166,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_8
| ~ spl8_81
| ~ spl8_91
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f5145,f1166,f726,f679,f312,f303,f298,f288]) ).
fof(f5145,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_8
| ~ spl8_81
| ~ spl8_91
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f5144]) ).
fof(f5144,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_8
| ~ spl8_81
| ~ spl8_91
| ~ spl8_115 ),
inference(forward_demodulation,[],[f5091,f680]) ).
fof(f5091,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_91
| ~ spl8_115 ),
inference(forward_demodulation,[],[f5090,f314]) ).
fof(f5141,plain,
( spl8_4
| ~ spl8_81
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f957,f786,f679,f293]) ).
fof(f957,plain,
( e1 = e2
| ~ spl8_81
| ~ spl8_101 ),
inference(superposition,[],[f788,f680]) ).
fof(f5051,plain,
( spl8_5
| ~ spl8_101
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f3502,f990,f786,f298]) ).
fof(f3502,plain,
( e1 = e3
| ~ spl8_101
| ~ spl8_111 ),
inference(superposition,[],[f788,f992]) ).
fof(f5020,plain,
( spl8_95
| spl8_5
| spl8_1
| spl8_4
| ~ spl8_96
| ~ spl8_102
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f4958,f3971,f793,f760,f293,f278,f298,f749]) ).
fof(f4958,plain,
( e1 = e2
| e0 = e1
| e1 = e3
| e1 = op(e3,e0)
| ~ spl8_96
| ~ spl8_102
| ~ spl8_121 ),
inference(forward_demodulation,[],[f4154,f795]) ).
fof(f4154,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e0)
| op(e0,e0) = e1
| ~ spl8_96
| ~ spl8_121 ),
inference(forward_demodulation,[],[f4153,f762]) ).
fof(f4153,plain,
( e1 = e3
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl8_121 ),
inference(forward_demodulation,[],[f128,f3973]) ).
fof(f5018,plain,
( ~ spl8_89
| ~ spl8_122
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f4891,f793,f5015,f718]) ).
fof(f4891,plain,
( e3 != op(e1,e2)
| e1 != op(e2,e2)
| ~ spl8_102 ),
inference(trivial_inequality_removal,[],[f4890]) ).
fof(f4890,plain,
( e2 != e2
| e3 != op(e1,e2)
| e1 != op(e2,e2)
| ~ spl8_102 ),
inference(forward_demodulation,[],[f266,f795]) ).
fof(f266,plain,
( op(e0,e0) != e2
| e3 != op(e1,e2)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f265]) ).
fof(f265,plain,
( op(e0,e0) != e2
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f223]) ).
fof(f223,plain,
( op(e0,e0) != e2
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( op(e0,e0) != e2
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( op(e0,e0) = e2
& e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f4975,plain,
( ~ spl8_9
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f4627,f624,f317]) ).
fof(f4627,plain,
( ~ sP6
| ~ spl8_72 ),
inference(trivial_inequality_removal,[],[f4626]) ).
fof(f4945,plain,
( spl8_6
| spl8_3
| spl8_5
| ~ spl8_12
| ~ spl8_20
| ~ spl8_88
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f4889,f1178,f712,f366,f330,f298,f288,f303]) ).
fof(f4889,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_12
| ~ spl8_20
| ~ spl8_88
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f4888]) ).
fof(f4888,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e2 = e3
| ~ spl8_12
| ~ spl8_20
| ~ spl8_88
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4887,f332]) ).
fof(f4887,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| e3 = op(e1,e2)
| ~ spl8_20
| ~ spl8_88
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4710,f1180]) ).
fof(f4710,plain,
( e1 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| ~ spl8_20
| ~ spl8_88 ),
inference(forward_demodulation,[],[f4709,f368]) ).
fof(f4709,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f139,f713]) ).
fof(f4931,plain,
( ~ spl8_11
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f178,f630,f326]) ).
fof(f178,plain,
( e2 != op(e2,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e2 != op(e2,e1)
& e1 = op(e1,e2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f59]) ).
fof(f4848,plain,
( spl8_1
| ~ spl8_8
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f4424,f1178,f312,f278]) ).
fof(f4424,plain,
( e0 = e1
| ~ spl8_8
| ~ spl8_116 ),
inference(superposition,[],[f1180,f314]) ).
fof(f4755,plain,
( spl8_2
| ~ spl8_98
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f4724,f816,f768,f283]) ).
fof(f4724,plain,
( e0 = e2
| ~ spl8_98
| ~ spl8_105 ),
inference(forward_demodulation,[],[f818,f770]) ).
fof(f4701,plain,
( spl8_5
| ~ spl8_99
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f4640,f986,f778,f298]) ).
fof(f4640,plain,
( e1 = e3
| ~ spl8_99
| ~ spl8_110 ),
inference(forward_demodulation,[],[f988,f780]) ).
fof(f4661,plain,
( ~ spl8_9
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f4627,f624,f317]) ).
fof(f4597,plain,
( spl8_3
| ~ spl8_14
| ~ spl8_103
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f4581,f3971,f797,f339,f288]) ).
fof(f4581,plain,
( e0 = e3
| ~ spl8_14
| ~ spl8_103
| ~ spl8_121 ),
inference(forward_demodulation,[],[f4580,f4283]) ).
fof(f4283,plain,
( e0 = op(e0,e0)
| ~ spl8_14
| ~ spl8_103 ),
inference(forward_demodulation,[],[f341,f3965]) ).
fof(f4580,plain,
( op(e0,e0) = e3
| ~ spl8_14
| ~ spl8_103
| ~ spl8_121 ),
inference(forward_demodulation,[],[f3973,f3965]) ).
fof(f4521,plain,
( spl8_3
| ~ spl8_8
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f4497,f812,f797,f712,f656,f339,f312,f288]) ).
fof(f4497,plain,
( e0 = e3
| ~ spl8_8
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103
| ~ spl8_104 ),
inference(duplicate_literal_removal,[],[f4496]) ).
fof(f4496,plain,
( e0 = e3
| e0 = e3
| ~ spl8_8
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103
| ~ spl8_104 ),
inference(forward_demodulation,[],[f4495,f3965]) ).
fof(f4495,plain,
( e2 = e3
| e0 = e3
| ~ spl8_8
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103
| ~ spl8_104 ),
inference(forward_demodulation,[],[f4494,f814]) ).
fof(f4494,plain,
( e3 = op(e1,e0)
| e0 = e3
| ~ spl8_8
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103 ),
inference(duplicate_literal_removal,[],[f4493]) ).
fof(f4493,plain,
( e3 = op(e1,e0)
| e0 = e3
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103 ),
inference(forward_demodulation,[],[f4492,f3965]) ).
fof(f4492,plain,
( e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103 ),
inference(duplicate_literal_removal,[],[f4491]) ).
fof(f4491,plain,
( e0 = e3
| e0 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103 ),
inference(forward_demodulation,[],[f4300,f4286]) ).
fof(f4286,plain,
( e0 = e1
| ~ spl8_14
| ~ spl8_77
| ~ spl8_103 ),
inference(forward_demodulation,[],[f657,f4283]) ).
fof(f4300,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| ~ spl8_8
| ~ spl8_14
| ~ spl8_88
| ~ spl8_103 ),
inference(forward_demodulation,[],[f3613,f3965]) ).
fof(f4490,plain,
( spl8_2
| ~ spl8_8
| ~ spl8_89
| ~ spl8_97
| ~ spl8_115
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f4452,f1178,f1166,f764,f718,f312,f283]) ).
fof(f4452,plain,
( e0 = e2
| ~ spl8_8
| ~ spl8_89
| ~ spl8_97
| ~ spl8_115
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f4451]) ).
fof(f4451,plain,
( e0 = e2
| e0 = e2
| ~ spl8_8
| ~ spl8_89
| ~ spl8_97
| ~ spl8_115
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4450,f766]) ).
fof(f4450,plain,
( e2 = op(e2,e0)
| e0 = e2
| ~ spl8_8
| ~ spl8_89
| ~ spl8_97
| ~ spl8_115
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4449,f4424]) ).
fof(f4449,plain,
( e0 = e2
| e2 = op(e2,e1)
| ~ spl8_8
| ~ spl8_89
| ~ spl8_97
| ~ spl8_115
| ~ spl8_116 ),
inference(duplicate_literal_removal,[],[f4448]) ).
fof(f4448,plain,
( e0 = e2
| e0 = e2
| e2 = op(e2,e1)
| ~ spl8_8
| ~ spl8_89
| ~ spl8_97
| ~ spl8_115
| ~ spl8_116 ),
inference(forward_demodulation,[],[f4347,f4424]) ).
fof(f4347,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e1)
| ~ spl8_89
| ~ spl8_97
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f4346]) ).
fof(f4346,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| ~ spl8_89
| ~ spl8_97
| ~ spl8_115 ),
inference(forward_demodulation,[],[f4256,f766]) ).
fof(f4256,plain,
( e1 = e2
| e0 = e2
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_89
| ~ spl8_115 ),
inference(forward_demodulation,[],[f4255,f719]) ).
fof(f4255,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| ~ spl8_115 ),
inference(forward_demodulation,[],[f145,f1168]) ).
fof(f145,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4431,plain,
( spl8_3
| spl8_5
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f4331,f1166,f786,f675,f312,f298,f288]) ).
fof(f4331,plain,
( e1 = e3
| e0 = e3
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f4330]) ).
fof(f4330,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| ~ spl8_8
| ~ spl8_80
| ~ spl8_101
| ~ spl8_115 ),
inference(forward_demodulation,[],[f4329,f788]) ).
fof(f4329,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f4328]) ).
fof(f4328,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3722,f676]) ).
fof(f3722,plain,
( e1 = e3
| e0 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3721,f314]) ).
fof(f4354,plain,
( spl8_3
| ~ spl8_14
| ~ spl8_87 ),
inference(avatar_split_clause,[],[f4353,f708,f339,f288]) ).
fof(f4353,plain,
( e0 = e3
| ~ spl8_14
| ~ spl8_87 ),
inference(forward_demodulation,[],[f709,f341]) ).
fof(f4327,plain,
( spl8_3
| ~ spl8_14
| ~ spl8_103
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f4319,f982,f797,f339,f288]) ).
fof(f4319,plain,
( e0 = e3
| ~ spl8_14
| ~ spl8_103
| ~ spl8_109 ),
inference(forward_demodulation,[],[f984,f4283]) ).
fof(f4298,plain,
( spl8_3
| ~ spl8_14
| ~ spl8_18
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_103
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f4296,f971,f797,f764,f712,f656,f357,f339,f288]) ).
fof(f4296,plain,
( e0 = e3
| ~ spl8_14
| ~ spl8_18
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_103
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f4295]) ).
fof(f4295,plain,
( e0 = e3
| e0 = e3
| ~ spl8_14
| ~ spl8_18
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_103
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4294,f359]) ).
fof(f4294,plain,
( e0 = e3
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_103
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f4293]) ).
fof(f4293,plain,
( e0 = e3
| e0 = e3
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_97
| ~ spl8_103
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4292,f766]) ).
fof(f4292,plain,
( e3 = op(e2,e0)
| e0 = e3
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4291,f4286]) ).
fof(f4291,plain,
( e0 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103
| ~ spl8_108 ),
inference(duplicate_literal_removal,[],[f4290]) ).
fof(f4290,plain,
( e0 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_77
| ~ spl8_88
| ~ spl8_103
| ~ spl8_108 ),
inference(forward_demodulation,[],[f4289,f4286]) ).
fof(f4289,plain,
( e0 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_14
| ~ spl8_88
| ~ spl8_103
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3268,f3965]) ).
fof(f3268,plain,
( e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_88
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3267,f713]) ).
fof(f3267,plain,
( e1 = e3
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| ~ spl8_108 ),
inference(forward_demodulation,[],[f140,f973]) ).
fof(f4284,plain,
( spl8_1
| ~ spl8_94
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f4260,f764,f745,f278]) ).
fof(f4260,plain,
( e0 = e1
| ~ spl8_94
| ~ spl8_97 ),
inference(forward_demodulation,[],[f747,f766]) ).
fof(f4248,plain,
( spl8_2
| spl8_6
| spl8_4
| ~ spl8_72
| ~ spl8_76
| ~ spl8_80
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f4208,f971,f675,f648,f624,f293,f303,f283]) ).
fof(f4208,plain,
( e1 = e2
| e2 = e3
| e0 = e2
| ~ spl8_72
| ~ spl8_76
| ~ spl8_80
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3899,f973]) ).
fof(f3899,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_76
| ~ spl8_80 ),
inference(duplicate_literal_removal,[],[f3898]) ).
fof(f3898,plain,
( e2 = e3
| e0 = e2
| e2 = e3
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f3897,f626]) ).
fof(f4231,plain,
( spl8_1
| ~ spl8_80
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f1335,f697,f675,f278]) ).
fof(f1335,plain,
( e0 = e1
| ~ spl8_80
| ~ spl8_85 ),
inference(superposition,[],[f698,f676]) ).
fof(f4192,plain,
( ~ spl8_106
| ~ spl8_82
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f4167,f718,f683,f859]) ).
fof(f4167,plain,
( e0 != op(e3,e1)
| ~ spl8_82
| ~ spl8_89 ),
inference(trivial_inequality_removal,[],[f4166]) ).
fof(f4166,plain,
( e3 != e3
| e0 != op(e3,e1)
| ~ spl8_82
| ~ spl8_89 ),
inference(forward_demodulation,[],[f4050,f684]) ).
fof(f4050,plain,
( e0 != op(e3,e1)
| e3 != op(e1,e1)
| ~ spl8_89 ),
inference(trivial_inequality_removal,[],[f4049]) ).
fof(f4049,plain,
( e1 != e1
| e0 != op(e3,e1)
| e3 != op(e1,e1)
| ~ spl8_89 ),
inference(forward_demodulation,[],[f258,f719]) ).
fof(f258,plain,
( e1 != op(e2,e2)
| e0 != op(e3,e1)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f257]) ).
fof(f257,plain,
( e1 != op(e2,e2)
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(inner_rewriting,[],[f219]) ).
fof(f219,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f4164,plain,
( spl8_5
| ~ spl8_16
| ~ spl8_82 ),
inference(avatar_split_clause,[],[f4163,f683,f348,f298]) ).
fof(f4163,plain,
( e1 = e3
| ~ spl8_16
| ~ spl8_82 ),
inference(forward_demodulation,[],[f684,f350]) ).
fof(f4136,plain,
( spl8_1
| ~ spl8_16
| ~ spl8_94
| ~ spl8_106
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f4135,f3971,f859,f745,f348,f278]) ).
fof(f4135,plain,
( e0 = e1
| ~ spl8_16
| ~ spl8_94
| ~ spl8_106
| ~ spl8_121 ),
inference(forward_demodulation,[],[f350,f4111]) ).
fof(f4111,plain,
( e0 = op(e1,e1)
| ~ spl8_94
| ~ spl8_106
| ~ spl8_121 ),
inference(forward_demodulation,[],[f861,f4036]) ).
fof(f4126,plain,
( spl8_16
| ~ spl8_82
| ~ spl8_94
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f4041,f3971,f745,f683,f348]) ).
fof(f4041,plain,
( e1 = op(e1,e1)
| ~ spl8_82
| ~ spl8_94
| ~ spl8_121 ),
inference(forward_demodulation,[],[f684,f4036]) ).
fof(f4042,plain,
( spl8_2
| ~ spl8_22
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f4027,f793,f375,f283]) ).
fof(f4027,plain,
( e0 = e2
| ~ spl8_22
| ~ spl8_102 ),
inference(superposition,[],[f795,f377]) ).
fof(f377,plain,
( e0 = op(e0,e0)
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f4040,plain,
( spl8_82
| spl8_74
| spl8_6
| spl8_3
| ~ spl8_18
| ~ spl8_73 ),
inference(avatar_split_clause,[],[f3884,f630,f357,f288,f303,f634,f683]) ).
fof(f3884,plain,
( e0 = e3
| e2 = e3
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| ~ spl8_18
| ~ spl8_73 ),
inference(forward_demodulation,[],[f3883,f359]) ).
fof(f3976,plain,
( spl8_3
| ~ spl8_97
| ~ spl8_121 ),
inference(avatar_split_clause,[],[f3975,f3971,f764,f288]) ).
fof(f3975,plain,
( e0 = e3
| ~ spl8_97
| ~ spl8_121 ),
inference(forward_demodulation,[],[f3973,f766]) ).
fof(f3974,plain,
( spl8_121
| spl8_3
| spl8_5
| spl8_6
| ~ spl8_73
| ~ spl8_89
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f3904,f1166,f718,f630,f303,f298,f288,f3971]) ).
fof(f3904,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| e3 = op(e2,e0)
| ~ spl8_73
| ~ spl8_89
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3903,f632]) ).
fof(f3955,plain,
( spl8_108
| spl8_1
| spl8_5
| ~ spl8_72
| ~ spl8_76
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f3896,f675,f648,f624,f298,f278,f971]) ).
fof(f3896,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_76
| ~ spl8_80 ),
inference(duplicate_literal_removal,[],[f3895]) ).
fof(f3895,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f3894,f626]) ).
fof(f3894,plain,
( e0 = e1
| e1 = e3
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_76
| ~ spl8_80 ),
inference(forward_demodulation,[],[f1746,f676]) ).
fof(f3933,plain,
( spl8_3
| spl8_5
| spl8_6
| ~ spl8_71
| ~ spl8_73
| ~ spl8_89
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f3916,f1166,f718,f630,f620,f303,f298,f288]) ).
fof(f3916,plain,
( e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_71
| ~ spl8_73
| ~ spl8_89
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f3915]) ).
fof(f3915,plain,
( e2 = e3
| e2 = e3
| e1 = e3
| e0 = e3
| ~ spl8_71
| ~ spl8_73
| ~ spl8_89
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3904,f622]) ).
fof(f3914,plain,
( spl8_5
| spl8_3
| spl8_6
| ~ spl8_8
| ~ spl8_80
| ~ spl8_81
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f3893,f1166,f679,f675,f312,f303,f288,f298]) ).
fof(f3893,plain,
( e2 = e3
| e0 = e3
| e1 = e3
| ~ spl8_8
| ~ spl8_80
| ~ spl8_81
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3892,f680]) ).
fof(f3892,plain,
( e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f3891]) ).
fof(f3891,plain,
( e0 = e3
| e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_80
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3722,f676]) ).
fof(f3877,plain,
( ~ spl8_89
| ~ spl8_73
| spl8_85
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f3860,f3323,f697,f630,f718]) ).
fof(f3860,plain,
( e1 != op(e2,e2)
| ~ spl8_73
| spl8_85
| ~ spl8_119 ),
inference(forward_demodulation,[],[f699,f3785]) ).
fof(f699,plain,
( e1 != op(e3,e3)
| spl8_85 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f3798,plain,
( spl8_111
| spl8_3
| spl8_5
| ~ spl8_8
| ~ spl8_85
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f3743,f1166,f697,f312,f298,f288,f990]) ).
fof(f3743,plain,
( e1 = e3
| e0 = e3
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_85
| ~ spl8_115 ),
inference(duplicate_literal_removal,[],[f3742]) ).
fof(f3742,plain,
( e1 = e3
| e0 = e3
| e1 = e3
| e3 = op(e0,e3)
| ~ spl8_8
| ~ spl8_85
| ~ spl8_115 ),
inference(forward_demodulation,[],[f3741,f314]) ).
fof(f3741,plain,
( e0 = e3
| e1 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_85
| ~ spl8_115 ),
inference(forward_demodulation,[],[f2106,f1168]) ).
fof(f3791,plain,
( spl8_4
| spl8_1
| ~ spl8_18
| ~ spl8_73
| ~ spl8_83
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f3731,f859,f689,f630,f357,f278,f293]) ).
fof(f3731,plain,
( e0 = e1
| e1 = e2
| ~ spl8_18
| ~ spl8_73
| ~ spl8_83
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f3730]) ).
fof(f3730,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| ~ spl8_18
| ~ spl8_73
| ~ spl8_83
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3729,f359]) ).
fof(f3729,plain,
( e0 = e1
| e1 = e2
| e1 = op(e0,e1)
| ~ spl8_73
| ~ spl8_83
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f3728]) ).
fof(f3728,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e0,e1)
| ~ spl8_73
| ~ spl8_83
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3727,f690]) ).
fof(f3727,plain,
( e0 = e1
| e1 = e2
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| ~ spl8_73
| ~ spl8_106 ),
inference(forward_demodulation,[],[f1618,f861]) ).
fof(f3709,plain,
( spl8_4
| ~ spl8_8
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f3700,f1193,f312,f293]) ).
fof(f3700,plain,
( e1 = e2
| ~ spl8_8
| ~ spl8_118 ),
inference(forward_demodulation,[],[f1195,f314]) ).
fof(f3680,plain,
( spl8_5
| ~ spl8_113
| ~ spl8_119 ),
inference(avatar_split_clause,[],[f3660,f3323,f1142,f298]) ).
fof(f3660,plain,
( e1 = e3
| ~ spl8_113
| ~ spl8_119 ),
inference(forward_demodulation,[],[f3324,f1144]) ).
fof(f3651,plain,
( spl8_119
| spl8_6
| spl8_3
| ~ spl8_18
| ~ spl8_88
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f3551,f859,f712,f357,f288,f303,f3323]) ).
fof(f3551,plain,
( e0 = e3
| e2 = e3
| e3 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f3550]) ).
fof(f3550,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3549,f359]) ).
fof(f3549,plain,
( e2 = e3
| e0 = e3
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl8_88
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3526,f713]) ).
fof(f3616,plain,
( spl8_85
| spl8_1
| spl8_5
| ~ spl8_72
| ~ spl8_76
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f3367,f859,f648,f624,f298,f278,f697]) ).
fof(f3367,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_72
| ~ spl8_76
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f3366]) ).
fof(f3366,plain,
( e1 = e3
| e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| ~ spl8_72
| ~ spl8_76
| ~ spl8_106 ),
inference(forward_demodulation,[],[f1758,f626]) ).
fof(f1758,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e0)
| ~ spl8_76
| ~ spl8_106 ),
inference(forward_demodulation,[],[f1303,f650]) ).
fof(f3610,plain,
( spl8_5
| ~ spl8_8
| ~ spl8_120 ),
inference(avatar_split_clause,[],[f3561,f3329,f312,f298]) ).
fof(f3561,plain,
( e1 = e3
| ~ spl8_8
| ~ spl8_120 ),
inference(superposition,[],[f314,f3331]) ).
fof(f3602,plain,
( spl8_113
| spl8_4
| spl8_1
| ~ spl8_18
| ~ spl8_88
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f3525,f859,f712,f357,f278,f293,f1142]) ).
fof(f3525,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_106 ),
inference(duplicate_literal_removal,[],[f3524]) ).
fof(f3524,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_106 ),
inference(forward_demodulation,[],[f3255,f861]) ).
fof(f3255,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88 ),
inference(forward_demodulation,[],[f3254,f359]) ).
fof(f3254,plain,
( e1 = e2
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| ~ spl8_88 ),
inference(forward_demodulation,[],[f136,f713]) ).
fof(f3593,plain,
( spl8_4
| ~ spl8_100
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f3592,f797,f782,f293]) ).
fof(f3592,plain,
( e1 = e2
| ~ spl8_100
| ~ spl8_103 ),
inference(forward_demodulation,[],[f799,f784]) ).
fof(f3586,plain,
( spl8_95
| spl8_1
| spl8_4
| ~ spl8_71
| ~ spl8_96
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f3486,f793,f760,f620,f293,f278,f749]) ).
fof(f3486,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_71
| ~ spl8_96
| ~ spl8_102 ),
inference(duplicate_literal_removal,[],[f3485]) ).
fof(f3485,plain,
( e1 = e2
| e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_71
| ~ spl8_96
| ~ spl8_102 ),
inference(forward_demodulation,[],[f955,f622]) ).
fof(f955,plain,
( e1 = e2
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl8_96
| ~ spl8_102 ),
inference(forward_demodulation,[],[f949,f795]) ).
fof(f949,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| ~ spl8_96 ),
inference(forward_demodulation,[],[f128,f762]) ).
fof(f3544,plain,
( spl8_114
| ~ spl8_101
| ~ spl8_111
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f3539,f1166,f990,f786,f1162]) ).
fof(f3539,plain,
( e0 = op(e2,e1)
| ~ spl8_101
| ~ spl8_111
| ~ spl8_115 ),
inference(forward_demodulation,[],[f1168,f3502]) ).
fof(f3509,plain,
( spl8_108
| spl8_4
| spl8_1
| ~ spl8_18
| ~ spl8_88
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f3462,f1162,f712,f357,f278,f293,f971]) ).
fof(f3462,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f3461]) ).
fof(f3461,plain,
( e0 = e1
| e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f3460,f359]) ).
fof(f3460,plain,
( e0 = e1
| e1 = e2
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| ~ spl8_88
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1688,f1164]) ).
fof(f3500,plain,
( spl8_93
| spl8_1
| ~ spl8_12
| ~ spl8_89
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f3488,f782,f718,f330,f278,f736]) ).
fof(f3488,plain,
( e0 = e1
| e0 = op(e3,e2)
| ~ spl8_12
| ~ spl8_89
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f3487]) ).
fof(f3487,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_12
| ~ spl8_89
| ~ spl8_100 ),
inference(forward_demodulation,[],[f2880,f719]) ).
fof(f2880,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f1993]) ).
fof(f3477,plain,
( spl8_93
| spl8_1
| spl8_2
| ~ spl8_12
| ~ spl8_89
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f3453,f797,f718,f330,f283,f278,f736]) ).
fof(f3453,plain,
( e0 = e2
| e0 = e1
| e0 = op(e3,e2)
| ~ spl8_12
| ~ spl8_89
| ~ spl8_103 ),
inference(forward_demodulation,[],[f3407,f799]) ).
fof(f3407,plain,
( e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89 ),
inference(duplicate_literal_removal,[],[f3406]) ).
fof(f3406,plain,
( e0 = e1
| e0 = e1
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89 ),
inference(forward_demodulation,[],[f3102,f719]) ).
fof(f3452,plain,
( spl8_5
| spl8_6
| spl8_3
| ~ spl8_18
| ~ spl8_88
| ~ spl8_108
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f3361,f1162,f971,f712,f357,f288,f303,f298]) ).
fof(f3361,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| ~ spl8_18
| ~ spl8_88
| ~ spl8_108
| ~ spl8_114 ),
inference(duplicate_literal_removal,[],[f3360]) ).
fof(f3360,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl8_18
| ~ spl8_88
| ~ spl8_108
| ~ spl8_114 ),
inference(forward_demodulation,[],[f3269,f1164]) ).
fof(f3269,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| e3 = op(e2,e1)
| ~ spl8_18
| ~ spl8_88
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3268,f359]) ).
fof(f3397,plain,
( spl8_1
| ~ spl8_106
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f3377,f971,f859,f278]) ).
fof(f3377,plain,
( e0 = e1
| ~ spl8_106
| ~ spl8_108 ),
inference(superposition,[],[f861,f973]) ).
fof(f3394,plain,
( spl8_9
| spl8_7
| spl8_6
| ~ spl8_76
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f3363,f726,f648,f303,f308,f317]) ).
fof(f3363,plain,
( e2 = e3
| sP7
| sP6
| ~ spl8_76
| ~ spl8_91 ),
inference(forward_demodulation,[],[f2059,f727]) ).
fof(f2059,plain,
( e3 = op(e3,e3)
| sP7
| sP6
| ~ spl8_76 ),
inference(trivial_inequality_removal,[],[f1791]) ).
fof(f1791,plain,
( e3 != e3
| e3 = op(e3,e3)
| sP7
| sP6
| ~ spl8_76 ),
inference(forward_demodulation,[],[f202,f650]) ).
fof(f3384,plain,
( spl8_13
| spl8_11
| spl8_4
| ~ spl8_78
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f3345,f718,f662,f293,f326,f335]) ).
fof(f3345,plain,
( e1 = e2
| sP5
| sP4
| ~ spl8_78
| ~ spl8_89 ),
inference(forward_demodulation,[],[f3159,f719]) ).
fof(f3159,plain,
( e2 = op(e2,e2)
| sP5
| sP4
| ~ spl8_78 ),
inference(trivial_inequality_removal,[],[f2061]) ).
fof(f3341,plain,
( spl8_6
| ~ spl8_87
| ~ spl8_103 ),
inference(avatar_split_clause,[],[f3122,f797,f708,f303]) ).
fof(f3122,plain,
( e2 = e3
| ~ spl8_87
| ~ spl8_103 ),
inference(forward_demodulation,[],[f709,f799]) ).
fof(f3340,plain,
( spl8_103
| spl8_2
| spl8_4
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f3087,f736,f718,f330,f293,f283,f797]) ).
fof(f3087,plain,
( e1 = e2
| e0 = e2
| e2 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93 ),
inference(duplicate_literal_removal,[],[f2348]) ).
fof(f2348,plain,
( e1 = e2
| e1 = e2
| e0 = e2
| e2 = op(e0,e2)
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93 ),
inference(forward_demodulation,[],[f2347,f332]) ).
fof(f2347,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_89
| ~ spl8_93 ),
inference(forward_demodulation,[],[f2346,f719]) ).
fof(f2346,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| ~ spl8_93 ),
inference(forward_demodulation,[],[f146,f737]) ).
fof(f3332,plain,
( spl8_120
| spl8_6
| ~ spl8_78
| ~ spl8_81
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f3163,f726,f679,f662,f303,f3329]) ).
fof(f3163,plain,
( e2 = e3
| e3 = op(e1,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f2205]) ).
fof(f2205,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_91 ),
inference(forward_demodulation,[],[f2204,f680]) ).
fof(f2204,plain,
( e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f2203]) ).
fof(f2203,plain,
( e2 = e3
| e2 = e3
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_91 ),
inference(forward_demodulation,[],[f2153,f727]) ).
fof(f3326,plain,
( ~ spl8_119
| ~ spl8_77
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f3262,f712,f656,f3323]) ).
fof(f3262,plain,
( e3 != op(e2,e1)
| ~ spl8_77
| ~ spl8_88 ),
inference(trivial_inequality_removal,[],[f3261]) ).
fof(f3261,plain,
( e2 != e2
| e3 != op(e2,e1)
| ~ spl8_77
| ~ spl8_88 ),
inference(forward_demodulation,[],[f3260,f713]) ).
fof(f3260,plain,
( e3 != op(e2,e1)
| e2 != op(e1,e1)
| ~ spl8_77 ),
inference(trivial_inequality_removal,[],[f3259]) ).
fof(f3259,plain,
( e1 != e1
| e3 != op(e2,e1)
| e2 != op(e1,e1)
| ~ spl8_77 ),
inference(forward_demodulation,[],[f270,f657]) ).
fof(f270,plain,
( op(e0,e0) != e1
| e3 != op(e2,e1)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f269]) ).
fof(f269,plain,
( op(e0,e0) != e1
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(inner_rewriting,[],[f225]) ).
fof(f225,plain,
( op(e0,e0) != e1
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( op(e0,e0) != e1
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( op(e0,e0) = e1
& e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f3247,plain,
( spl8_4
| ~ spl8_74
| ~ spl8_88
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f3229,f971,f712,f634,f293]) ).
fof(f3229,plain,
( e1 = e2
| ~ spl8_74
| ~ spl8_88
| ~ spl8_108 ),
inference(forward_demodulation,[],[f713,f3111]) ).
fof(f3111,plain,
( e1 = op(e1,e1)
| ~ spl8_74
| ~ spl8_108 ),
inference(forward_demodulation,[],[f973,f2321]) ).
fof(f3158,plain,
( spl8_4
| ~ spl8_74
| ~ spl8_87
| ~ spl8_103
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f3123,f971,f797,f708,f634,f293]) ).
fof(f3123,plain,
( e1 = e2
| ~ spl8_74
| ~ spl8_87
| ~ spl8_103
| ~ spl8_108 ),
inference(forward_demodulation,[],[f3122,f2321]) ).
fof(f3138,plain,
( spl8_2
| ~ spl8_74
| ~ spl8_83
| ~ spl8_108
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f3109,f1193,f971,f689,f634,f283]) ).
fof(f3109,plain,
( e0 = e2
| ~ spl8_74
| ~ spl8_83
| ~ spl8_108
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2599,f690]) ).
fof(f3085,plain,
( spl8_2
| ~ spl8_80
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f1326,f726,f675,f283]) ).
fof(f1326,plain,
( e0 = e2
| ~ spl8_80
| ~ spl8_91 ),
inference(superposition,[],[f676,f727]) ).
fof(f3033,plain,
( spl8_3
| ~ spl8_22
| ~ spl8_80
| ~ spl8_87
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f3023,f726,f708,f675,f375,f288]) ).
fof(f3023,plain,
( e0 = e3
| ~ spl8_22
| ~ spl8_80
| ~ spl8_87
| ~ spl8_91 ),
inference(forward_demodulation,[],[f2719,f377]) ).
fof(f2719,plain,
( op(e0,e0) = e3
| ~ spl8_80
| ~ spl8_87
| ~ spl8_91 ),
inference(forward_demodulation,[],[f709,f1326]) ).
fof(f2979,plain,
( spl8_1
| ~ spl8_22
| ~ spl8_80
| ~ spl8_89
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f2881,f726,f718,f675,f375,f278]) ).
fof(f2881,plain,
( e0 = e1
| ~ spl8_22
| ~ spl8_80
| ~ spl8_89
| ~ spl8_91 ),
inference(forward_demodulation,[],[f2874,f377]) ).
fof(f2874,plain,
( op(e0,e0) = e1
| ~ spl8_80
| ~ spl8_89
| ~ spl8_91 ),
inference(forward_demodulation,[],[f719,f1326]) ).
fof(f2912,plain,
( spl8_3
| ~ spl8_10
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f2825,f990,f321,f288]) ).
fof(f2825,plain,
( e0 = e3
| ~ spl8_10
| ~ spl8_111 ),
inference(forward_demodulation,[],[f992,f323]) ).
fof(f2876,plain,
( spl8_1
| ~ spl8_10
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f2807,f786,f321,f278]) ).
fof(f2807,plain,
( e0 = e1
| ~ spl8_10
| ~ spl8_101 ),
inference(forward_demodulation,[],[f788,f323]) ).
fof(f2829,plain,
( spl8_1
| ~ spl8_10
| ~ spl8_80
| ~ spl8_91
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f2781,f1113,f726,f675,f321,f278]) ).
fof(f2781,plain,
( e0 = e1
| ~ spl8_10
| ~ spl8_80
| ~ spl8_91
| ~ spl8_112 ),
inference(forward_demodulation,[],[f2780,f323]) ).
fof(f2780,plain,
( e1 = op(e0,e3)
| ~ spl8_80
| ~ spl8_91
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1114,f1326]) ).
fof(f2752,plain,
( spl8_1
| ~ spl8_22
| ~ spl8_74
| ~ spl8_80
| ~ spl8_87
| ~ spl8_91
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f2724,f971,f726,f708,f675,f634,f375,f278]) ).
fof(f2724,plain,
( e0 = e1
| ~ spl8_22
| ~ spl8_74
| ~ spl8_80
| ~ spl8_87
| ~ spl8_91
| ~ spl8_108 ),
inference(forward_demodulation,[],[f2720,f377]) ).
fof(f2720,plain,
( op(e0,e0) = e1
| ~ spl8_74
| ~ spl8_80
| ~ spl8_87
| ~ spl8_91
| ~ spl8_108 ),
inference(forward_demodulation,[],[f2719,f2321]) ).
fof(f2722,plain,
( spl8_1
| ~ spl8_74
| ~ spl8_78
| ~ spl8_80
| ~ spl8_91
| ~ spl8_108
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f2708,f1142,f971,f726,f675,f662,f634,f278]) ).
fof(f2708,plain,
( e0 = e1
| ~ spl8_74
| ~ spl8_78
| ~ spl8_80
| ~ spl8_91
| ~ spl8_108
| ~ spl8_113 ),
inference(forward_demodulation,[],[f2705,f2695]) ).
fof(f2695,plain,
( e0 = op(e0,e1)
| ~ spl8_74
| ~ spl8_78
| ~ spl8_80
| ~ spl8_91
| ~ spl8_108 ),
inference(forward_demodulation,[],[f2531,f1326]) ).
fof(f2531,plain,
( e2 = op(e2,e1)
| ~ spl8_74
| ~ spl8_78
| ~ spl8_108 ),
inference(forward_demodulation,[],[f664,f2321]) ).
fof(f2705,plain,
( e1 = op(e0,e1)
| ~ spl8_80
| ~ spl8_91
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1144,f1326]) ).
fof(f2707,plain,
( spl8_99
| ~ spl8_74
| ~ spl8_108
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f2363,f990,f971,f634,f778]) ).
fof(f2363,plain,
( e1 = op(e0,e1)
| ~ spl8_74
| ~ spl8_108
| ~ spl8_111 ),
inference(forward_demodulation,[],[f992,f2321]) ).
fof(f2620,plain,
( spl8_2
| ~ spl8_74
| ~ spl8_78
| ~ spl8_108
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f2532,f1162,f971,f662,f634,f283]) ).
fof(f2532,plain,
( e0 = e2
| ~ spl8_74
| ~ spl8_78
| ~ spl8_108
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2531,f1164]) ).
fof(f2533,plain,
( spl8_2
| ~ spl8_74
| ~ spl8_88
| ~ spl8_108
| ~ spl8_116 ),
inference(avatar_split_clause,[],[f2492,f1178,f971,f712,f634,f283]) ).
fof(f2492,plain,
( e0 = e2
| ~ spl8_74
| ~ spl8_88
| ~ spl8_108
| ~ spl8_116 ),
inference(forward_demodulation,[],[f713,f2488]) ).
fof(f2488,plain,
( e0 = op(e1,e1)
| ~ spl8_74
| ~ spl8_108
| ~ spl8_116 ),
inference(forward_demodulation,[],[f1180,f2321]) ).
fof(f2442,plain,
( spl8_4
| ~ spl8_74
| ~ spl8_79
| ~ spl8_91
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f2427,f971,f726,f666,f634,f293]) ).
fof(f2427,plain,
( e1 = e2
| ~ spl8_74
| ~ spl8_79
| ~ spl8_91
| ~ spl8_108 ),
inference(forward_demodulation,[],[f2426,f2321]) ).
fof(f2429,plain,
( spl8_9
| spl8_7
| spl8_1
| ~ spl8_74
| ~ spl8_79
| ~ spl8_84
| ~ spl8_99
| ~ spl8_108
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f2400,f1162,f971,f778,f693,f666,f634,f278,f308,f317]) ).
fof(f2400,plain,
( e0 = e1
| sP7
| sP6
| ~ spl8_74
| ~ spl8_79
| ~ spl8_84
| ~ spl8_99
| ~ spl8_108
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2399,f2364]) ).
fof(f2399,plain,
( e0 = e2
| sP7
| sP6
| ~ spl8_74
| ~ spl8_79
| ~ spl8_108
| ~ spl8_114 ),
inference(forward_demodulation,[],[f2398,f1164]) ).
fof(f2398,plain,
( e2 = op(e2,e1)
| sP7
| sP6
| ~ spl8_74
| ~ spl8_79
| ~ spl8_108 ),
inference(forward_demodulation,[],[f1932,f2321]) ).
fof(f1932,plain,
( e2 = op(e2,e3)
| sP7
| sP6
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f1931]) ).
fof(f2370,plain,
( spl8_18
| ~ spl8_10
| ~ spl8_74
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f2369,f971,f634,f321,f357]) ).
fof(f2369,plain,
( e0 = op(e0,e1)
| ~ spl8_10
| ~ spl8_74
| ~ spl8_108 ),
inference(forward_demodulation,[],[f323,f2321]) ).
fof(f2368,plain,
( spl8_10
| spl8_80
| spl8_2
| ~ spl8_78
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f2264,f1193,f662,f283,f675,f321]) ).
fof(f2264,plain,
( e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl8_78
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2263]) ).
fof(f2263,plain,
( e0 = e2
| e0 = e2
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| ~ spl8_78
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2144,f1195]) ).
fof(f2353,plain,
( spl8_6
| ~ spl8_84
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f2289,f986,f693,f303]) ).
fof(f2289,plain,
( e2 = e3
| ~ spl8_84
| ~ spl8_110 ),
inference(superposition,[],[f694,f988]) ).
fof(f2341,plain,
( spl8_2
| spl8_4
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f2260,f782,f736,f718,f330,f293,f283]) ).
fof(f2260,plain,
( e1 = e2
| e0 = e2
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f2259]) ).
fof(f2259,plain,
( e1 = e2
| e0 = e2
| e1 = e2
| ~ spl8_12
| ~ spl8_89
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f2246,f719]) ).
fof(f2246,plain,
( e0 = e2
| e1 = e2
| e2 = op(e2,e2)
| ~ spl8_12
| ~ spl8_93
| ~ spl8_100 ),
inference(forward_demodulation,[],[f2197,f737]) ).
fof(f2197,plain,
( e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f1987]) ).
fof(f1987,plain,
( e1 = e2
| e1 = e2
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| ~ spl8_12
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1764,f332]) ).
fof(f2304,plain,
( spl8_1
| ~ spl8_14
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f2275,f782,f339,f278]) ).
fof(f2275,plain,
( e0 = e1
| ~ spl8_14
| ~ spl8_100 ),
inference(superposition,[],[f341,f784]) ).
fof(f2258,plain,
( spl8_6
| ~ spl8_78
| ~ spl8_81
| ~ spl8_91
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f2252,f1193,f726,f679,f662,f303]) ).
fof(f2252,plain,
( e2 = e3
| ~ spl8_78
| ~ spl8_81
| ~ spl8_91
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2251]) ).
fof(f2251,plain,
( e2 = e3
| e2 = e3
| ~ spl8_78
| ~ spl8_81
| ~ spl8_91
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2157,f727]) ).
fof(f2157,plain,
( e2 = e3
| e3 = op(e3,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2156]) ).
fof(f2156,plain,
( e2 = e3
| e2 = e3
| e3 = op(e3,e3)
| ~ spl8_78
| ~ spl8_81
| ~ spl8_118 ),
inference(forward_demodulation,[],[f2155,f680]) ).
fof(f2155,plain,
( e2 = e3
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| ~ spl8_78
| ~ spl8_118 ),
inference(duplicate_literal_removal,[],[f2154]) ).
fof(f2240,plain,
( spl8_4
| ~ spl8_20
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f2215,f812,f366,f293]) ).
fof(f2215,plain,
( e1 = e2
| ~ spl8_20
| ~ spl8_104 ),
inference(forward_demodulation,[],[f814,f368]) ).
fof(f2193,plain,
( ~ spl8_13
| ~ spl8_71 ),
inference(avatar_split_clause,[],[f2184,f620,f335]) ).
fof(f2182,plain,
( spl8_3
| ~ spl8_76
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f1256,f736,f648,f288]) ).
fof(f1256,plain,
( e0 = e3
| ~ spl8_76
| ~ spl8_93 ),
inference(forward_demodulation,[],[f650,f737]) ).
fof(f2135,plain,
( spl8_2
| ~ spl8_22
| ~ spl8_80
| ~ spl8_84
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f2096,f697,f693,f675,f375,f283]) ).
fof(f2096,plain,
( e0 = e2
| ~ spl8_22
| ~ spl8_80
| ~ spl8_84
| ~ spl8_85 ),
inference(forward_demodulation,[],[f2095,f377]) ).
fof(f2095,plain,
( op(e0,e0) = e2
| ~ spl8_80
| ~ spl8_84
| ~ spl8_85 ),
inference(forward_demodulation,[],[f694,f1335]) ).
fof(f2051,plain,
( spl8_2
| ~ spl8_116
| ~ spl8_118 ),
inference(avatar_split_clause,[],[f2030,f1193,f1178,f283]) ).
fof(f2030,plain,
( e0 = e2
| ~ spl8_116
| ~ spl8_118 ),
inference(forward_demodulation,[],[f1195,f1180]) ).
fof(f2025,plain,
( spl8_4
| ~ spl8_85
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f1345,f726,f697,f293]) ).
fof(f1345,plain,
( e1 = e2
| ~ spl8_85
| ~ spl8_91 ),
inference(superposition,[],[f727,f698]) ).
fof(f2004,plain,
( spl8_2
| ~ spl8_22
| ~ spl8_80
| ~ spl8_85
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f2000,f712,f697,f675,f375,f283]) ).
fof(f2000,plain,
( e0 = e2
| ~ spl8_22
| ~ spl8_80
| ~ spl8_85
| ~ spl8_88 ),
inference(forward_demodulation,[],[f1378,f377]) ).
fof(f1378,plain,
( op(e0,e0) = e2
| ~ spl8_80
| ~ spl8_85
| ~ spl8_88 ),
inference(forward_demodulation,[],[f713,f1335]) ).
fof(f1978,plain,
( spl8_16
| ~ spl8_79
| ~ spl8_85
| ~ spl8_91
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f1976,f1113,f726,f697,f666,f348]) ).
fof(f1976,plain,
( e1 = op(e1,e1)
| ~ spl8_79
| ~ spl8_85
| ~ spl8_91
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1975,f1345]) ).
fof(f1975,plain,
( e1 = op(e2,e1)
| ~ spl8_79
| ~ spl8_85
| ~ spl8_112 ),
inference(forward_demodulation,[],[f1114,f1882]) ).
fof(f1959,plain,
( spl8_83
| ~ spl8_85
| ~ spl8_91
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f1958,f1162,f726,f697,f689]) ).
fof(f1958,plain,
( e0 = op(e1,e1)
| ~ spl8_85
| ~ spl8_91
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1164,f1345]) ).
fof(f1916,plain,
( spl8_9
| spl8_7
| spl8_2
| ~ spl8_79
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f1825,f1166,f666,f283,f308,f317]) ).
fof(f1825,plain,
( e0 = e2
| sP7
| sP6
| ~ spl8_79
| ~ spl8_115 ),
inference(forward_demodulation,[],[f1735,f1168]) ).
fof(f1735,plain,
( e2 = op(e2,e3)
| sP7
| sP6
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f1734]) ).
fof(f1734,plain,
( e3 != e3
| e2 = op(e2,e3)
| sP7
| sP6
| ~ spl8_79 ),
inference(forward_demodulation,[],[f203,f668]) ).
fof(f1868,plain,
( spl8_3
| ~ spl8_74
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f1849,f859,f634,f288]) ).
fof(f1849,plain,
( e0 = e3
| ~ spl8_74
| ~ spl8_106 ),
inference(superposition,[],[f861,f636]) ).
fof(f1805,plain,
( spl8_2
| ~ spl8_78
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f1804,f1166,f662,f283]) ).
fof(f1804,plain,
( e0 = e2
| ~ spl8_78
| ~ spl8_115 ),
inference(forward_demodulation,[],[f664,f1168]) ).
fof(f1790,plain,
( spl8_2
| ~ spl8_10
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f1698,f679,f321,f283]) ).
fof(f1698,plain,
( e0 = e2
| ~ spl8_10
| ~ spl8_81 ),
inference(superposition,[],[f323,f680]) ).
fof(f1759,plain,
( spl8_9
| spl8_7
| ~ spl8_76
| ~ spl8_79 ),
inference(avatar_split_clause,[],[f1740,f666,f648,f308,f317]) ).
fof(f1740,plain,
( sP7
| sP6
| ~ spl8_76
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f1739]) ).
fof(f1739,plain,
( e3 != e3
| sP7
| sP6
| ~ spl8_76
| ~ spl8_79 ),
inference(forward_demodulation,[],[f1738,f650]) ).
fof(f1738,plain,
( e3 != op(e3,e2)
| sP7
| sP6
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f1737]) ).
fof(f1737,plain,
( e3 != e3
| e3 != op(e3,e2)
| sP7
| sP6
| ~ spl8_79 ),
inference(forward_demodulation,[],[f204,f668]) ).
fof(f1733,plain,
( spl8_3
| ~ spl8_79
| ~ spl8_80 ),
inference(avatar_split_clause,[],[f1731,f675,f666,f288]) ).
fof(f1731,plain,
( e0 = e3
| ~ spl8_79
| ~ spl8_80 ),
inference(forward_demodulation,[],[f668,f676]) ).
fof(f1727,plain,
( spl8_4
| ~ spl8_78
| ~ spl8_112 ),
inference(avatar_split_clause,[],[f1726,f1113,f662,f293]) ).
fof(f1726,plain,
( e1 = e2
| ~ spl8_78
| ~ spl8_112 ),
inference(forward_demodulation,[],[f664,f1114]) ).
fof(f1719,plain,
( ~ spl8_20
| ~ spl8_10
| spl8_12
| ~ spl8_81 ),
inference(avatar_split_clause,[],[f1715,f679,f330,f321,f366]) ).
fof(f1715,plain,
( e1 != op(e1,e0)
| ~ spl8_10
| spl8_12
| ~ spl8_81 ),
inference(forward_demodulation,[],[f331,f1698]) ).
fof(f331,plain,
( e1 != op(e1,e2)
| spl8_12 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f1712,plain,
( spl8_17
| spl8_15
| spl8_73
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f1037,f312,f630,f344,f353]) ).
fof(f344,plain,
( spl8_15
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f1037,plain,
( e2 = op(e2,e1)
| sP3
| sP2
| ~ spl8_8 ),
inference(trivial_inequality_removal,[],[f1036]) ).
fof(f1036,plain,
( e1 != e1
| e2 = op(e2,e1)
| sP3
| sP2
| ~ spl8_8 ),
inference(forward_demodulation,[],[f195,f314]) ).
fof(f195,plain,
( e1 != op(e1,e3)
| e2 = op(e2,e1)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f1694,plain,
( spl8_5
| ~ spl8_87
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f1693,f782,f708,f298]) ).
fof(f1693,plain,
( e1 = e3
| ~ spl8_87
| ~ spl8_100 ),
inference(forward_demodulation,[],[f709,f784]) ).
fof(f1683,plain,
( spl8_3
| ~ spl8_22
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1427,f982,f375,f288]) ).
fof(f1427,plain,
( e0 = e3
| ~ spl8_22
| ~ spl8_109 ),
inference(superposition,[],[f984,f377]) ).
fof(f1659,plain,
( spl8_113
| spl8_4
| spl8_1
| ~ spl8_22
| ~ spl8_71
| ~ spl8_86
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1509,f982,f704,f620,f375,f278,f293,f1142]) ).
fof(f1509,plain,
( e0 = e1
| e1 = e2
| e1 = op(e2,e1)
| ~ spl8_22
| ~ spl8_71
| ~ spl8_86
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1508,f705]) ).
fof(f1508,plain,
( e1 = e2
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl8_22
| ~ spl8_71
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1424,f622]) ).
fof(f1424,plain,
( e1 = op(e2,e0)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl8_22
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1207]) ).
fof(f1207,plain,
( e1 = op(e2,e0)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl8_22
| ~ spl8_109 ),
inference(forward_demodulation,[],[f143,f1150]) ).
fof(f1150,plain,
( e0 = e3
| ~ spl8_22
| ~ spl8_109 ),
inference(superposition,[],[f377,f984]) ).
fof(f1650,plain,
( spl8_86
| spl8_2
| ~ spl8_22
| ~ spl8_71
| ~ spl8_73
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1615,f982,f630,f620,f375,f283,f704]) ).
fof(f1615,plain,
( e0 = e2
| e0 = op(e2,e2)
| ~ spl8_22
| ~ spl8_71
| ~ spl8_73
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1614]) ).
fof(f1614,plain,
( e0 = e2
| e0 = e2
| e0 = op(e2,e2)
| ~ spl8_22
| ~ spl8_71
| ~ spl8_73
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1568,f632]) ).
fof(f1568,plain,
( e0 = e2
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl8_22
| ~ spl8_71
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1425,f622]) ).
fof(f1425,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl8_22
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1214]) ).
fof(f1214,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_22
| ~ spl8_109 ),
inference(forward_demodulation,[],[f141,f1150]) ).
fof(f1648,plain,
( ~ spl8_97
| ~ spl8_22
| ~ spl8_109
| spl8_115 ),
inference(avatar_split_clause,[],[f1172,f1166,f982,f375,f764]) ).
fof(f1172,plain,
( e0 != op(e2,e0)
| ~ spl8_22
| ~ spl8_109
| spl8_115 ),
inference(forward_demodulation,[],[f1167,f1150]) ).
fof(f1167,plain,
( e0 != op(e2,e3)
| spl8_115 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1608,plain,
( spl8_3
| ~ spl8_72
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f1241,f768,f624,f288]) ).
fof(f1241,plain,
( e0 = e3
| ~ spl8_72
| ~ spl8_98 ),
inference(superposition,[],[f770,f626]) ).
fof(f1584,plain,
( spl8_18
| ~ spl8_72
| ~ spl8_98
| ~ spl8_106 ),
inference(avatar_split_clause,[],[f1438,f859,f768,f624,f357]) ).
fof(f1438,plain,
( e0 = op(e0,e1)
| ~ spl8_72
| ~ spl8_98
| ~ spl8_106 ),
inference(forward_demodulation,[],[f861,f1241]) ).
fof(f1554,plain,
( spl8_2
| ~ spl8_73
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f1535,f1162,f630,f283]) ).
fof(f1535,plain,
( e0 = e2
| ~ spl8_73
| ~ spl8_114 ),
inference(forward_demodulation,[],[f632,f1164]) ).
fof(f1536,plain,
( spl8_1
| ~ spl8_86
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f1534,f718,f704,f278]) ).
fof(f1534,plain,
( e0 = e1
| ~ spl8_86
| ~ spl8_89 ),
inference(forward_demodulation,[],[f719,f705]) ).
fof(f1494,plain,
( spl8_1
| ~ spl8_22
| ~ spl8_72
| ~ spl8_98
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1493,f786,f768,f624,f375,f278]) ).
fof(f1493,plain,
( e0 = e1
| ~ spl8_22
| ~ spl8_72
| ~ spl8_98
| ~ spl8_101 ),
inference(forward_demodulation,[],[f1492,f377]) ).
fof(f1492,plain,
( op(e0,e0) = e1
| ~ spl8_72
| ~ spl8_98
| ~ spl8_101 ),
inference(forward_demodulation,[],[f788,f1241]) ).
fof(f1472,plain,
( spl8_4
| spl8_2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_72
| ~ spl8_98
| ~ spl8_100
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1462,f982,f782,f768,f624,f375,f357,f283,f293]) ).
fof(f1462,plain,
( e0 = e2
| e1 = e2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_72
| ~ spl8_98
| ~ spl8_100
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1461]) ).
fof(f1461,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_72
| ~ spl8_98
| ~ spl8_100
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1460,f377]) ).
fof(f1460,plain,
( op(e0,e0) = e2
| e0 = e2
| e1 = e2
| ~ spl8_18
| ~ spl8_72
| ~ spl8_98
| ~ spl8_100
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1459,f1241]) ).
fof(f1459,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e0)
| ~ spl8_18
| ~ spl8_72
| ~ spl8_98
| ~ spl8_100
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1458]) ).
fof(f1458,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl8_18
| ~ spl8_72
| ~ spl8_98
| ~ spl8_100
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1457,f359]) ).
fof(f1457,plain,
( e2 = op(e0,e1)
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_98
| ~ spl8_100
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1456,f1241]) ).
fof(f1456,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_98
| ~ spl8_100
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1455,f784]) ).
fof(f1455,plain,
( e2 = op(e0,e2)
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_98
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1454,f1241]) ).
fof(f1454,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_98
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1453,f1241]) ).
fof(f1453,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_98
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1452,f984]) ).
fof(f1452,plain,
( op(e0,e0) = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_98 ),
inference(forward_demodulation,[],[f153,f1241]) ).
fof(f1439,plain,
( spl8_4
| spl8_2
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98
| ~ spl8_100 ),
inference(avatar_split_clause,[],[f1416,f782,f768,f675,f624,f357,f283,f293]) ).
fof(f1416,plain,
( e0 = e2
| e1 = e2
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f1415]) ).
fof(f1415,plain,
( e0 = e2
| e0 = e2
| e1 = e2
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1414,f1377]) ).
fof(f1377,plain,
( e0 = op(e0,e0)
| ~ spl8_72
| ~ spl8_98 ),
inference(forward_demodulation,[],[f770,f1241]) ).
fof(f1414,plain,
( op(e0,e0) = e2
| e0 = e2
| e1 = e2
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1413,f1241]) ).
fof(f1413,plain,
( e0 = e2
| e1 = e2
| e2 = op(e3,e0)
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98
| ~ spl8_100 ),
inference(duplicate_literal_removal,[],[f1412]) ).
fof(f1412,plain,
( e0 = e2
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1411,f359]) ).
fof(f1411,plain,
( e2 = op(e0,e1)
| e1 = e2
| e0 = e2
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1410,f1241]) ).
fof(f1410,plain,
( e1 = e2
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98
| ~ spl8_100 ),
inference(forward_demodulation,[],[f1409,f784]) ).
fof(f1409,plain,
( e2 = op(e0,e2)
| e0 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1408,f1241]) ).
fof(f1408,plain,
( e0 = e2
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_80 ),
inference(forward_demodulation,[],[f153,f676]) ).
fof(f1428,plain,
( ~ spl8_18
| ~ spl8_22
| spl8_106
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1316,f982,f859,f375,f357]) ).
fof(f1316,plain,
( e0 != op(e0,e1)
| ~ spl8_22
| spl8_106
| ~ spl8_109 ),
inference(forward_demodulation,[],[f860,f1150]) ).
fof(f860,plain,
( e0 != op(e3,e1)
| spl8_106 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f1423,plain,
( spl8_22
| ~ spl8_72
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f1377,f768,f624,f375]) ).
fof(f1404,plain,
( spl8_1
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_91
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f1401,f768,f726,f675,f624,f357,f278]) ).
fof(f1401,plain,
( e0 = e1
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_91
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f1400]) ).
fof(f1400,plain,
( e0 = e1
| e0 = e1
| ~ spl8_18
| ~ spl8_72
| ~ spl8_80
| ~ spl8_91
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1399,f359]) ).
fof(f1399,plain,
( e1 = op(e0,e1)
| e0 = e1
| ~ spl8_72
| ~ spl8_80
| ~ spl8_91
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1398,f1241]) ).
fof(f1398,plain,
( e0 = e1
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_91
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f1397]) ).
fof(f1397,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_91
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1396,f1241]) ).
fof(f1396,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_91 ),
inference(forward_demodulation,[],[f1395,f626]) ).
fof(f1395,plain,
( e1 = op(e3,e0)
| e0 = e1
| e1 = op(e3,e1)
| ~ spl8_80
| ~ spl8_91 ),
inference(duplicate_literal_removal,[],[f1394]) ).
fof(f1394,plain,
( e1 = op(e3,e0)
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_80
| ~ spl8_91 ),
inference(forward_demodulation,[],[f1393,f1326]) ).
fof(f1381,plain,
( spl8_22
| ~ spl8_72
| ~ spl8_80
| ~ spl8_85
| ~ spl8_98 ),
inference(avatar_split_clause,[],[f1375,f768,f697,f675,f624,f375]) ).
fof(f1375,plain,
( e0 = op(e0,e0)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_85
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1283,f1335]) ).
fof(f1283,plain,
( op(e0,e0) = e1
| ~ spl8_72
| ~ spl8_85
| ~ spl8_98 ),
inference(forward_demodulation,[],[f698,f1241]) ).
fof(f1362,plain,
( spl8_2
| ~ spl8_71
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f1134,f764,f620,f283]) ).
fof(f1134,plain,
( e0 = e2
| ~ spl8_71
| ~ spl8_97 ),
inference(superposition,[],[f766,f622]) ).
fof(f1318,plain,
( spl8_2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_107
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1313,f982,f965,f375,f357,f283]) ).
fof(f1313,plain,
( e0 = e2
| ~ spl8_18
| ~ spl8_22
| ~ spl8_107
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1312,f359]) ).
fof(f1312,plain,
( e2 = op(e0,e1)
| ~ spl8_22
| ~ spl8_107
| ~ spl8_109 ),
inference(forward_demodulation,[],[f967,f1150]) ).
fof(f1309,plain,
( spl8_2
| ~ spl8_106
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f1306,f965,f859,f283]) ).
fof(f1306,plain,
( e0 = e2
| ~ spl8_106
| ~ spl8_107 ),
inference(forward_demodulation,[],[f967,f861]) ).
fof(f1300,plain,
( spl8_2
| ~ spl8_18
| ~ spl8_72
| ~ spl8_98
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f1288,f965,f768,f624,f357,f283]) ).
fof(f1288,plain,
( e0 = e2
| ~ spl8_18
| ~ spl8_72
| ~ spl8_98
| ~ spl8_107 ),
inference(forward_demodulation,[],[f1287,f359]) ).
fof(f1287,plain,
( e2 = op(e0,e1)
| ~ spl8_72
| ~ spl8_98
| ~ spl8_107 ),
inference(forward_demodulation,[],[f967,f1241]) ).
fof(f1286,plain,
( spl8_1
| ~ spl8_18
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1279,f982,f768,f736,f624,f357,f278]) ).
fof(f1279,plain,
( e0 = e1
| ~ spl8_18
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1278]) ).
fof(f1278,plain,
( e0 = e1
| e0 = e1
| ~ spl8_18
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1277,f770]) ).
fof(f1277,plain,
( e0 = e1
| e1 = op(e3,e0)
| ~ spl8_18
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1276]) ).
fof(f1276,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_18
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1275,f359]) ).
fof(f1275,plain,
( e1 = op(e0,e1)
| e0 = e1
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1274,f1241]) ).
fof(f1274,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1273]) ).
fof(f1273,plain,
( e0 = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1272,f1241]) ).
fof(f1272,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1271,f984]) ).
fof(f1271,plain,
( op(e0,e0) = e1
| e0 = e1
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_72
| ~ spl8_93
| ~ spl8_98 ),
inference(forward_demodulation,[],[f919,f1241]) ).
fof(f919,plain,
( e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| ~ spl8_93 ),
inference(forward_demodulation,[],[f151,f737]) ).
fof(f1268,plain,
( spl8_4
| ~ spl8_73
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f1267,f1142,f630,f293]) ).
fof(f1267,plain,
( e1 = e2
| ~ spl8_73
| ~ spl8_113 ),
inference(forward_demodulation,[],[f632,f1144]) ).
fof(f1266,plain,
( spl8_84
| spl8_88
| spl8_73
| spl8_107 ),
inference(avatar_split_clause,[],[f138,f965,f630,f712,f693]) ).
fof(f138,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1257,plain,
( spl8_86
| spl8_2
| spl8_1
| ~ spl8_71
| ~ spl8_72
| ~ spl8_98
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f1253,f1142,f768,f624,f620,f278,f283,f704]) ).
fof(f1253,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e2)
| ~ spl8_71
| ~ spl8_72
| ~ spl8_98
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1252,f1144]) ).
fof(f1252,plain,
( e0 = e2
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_72
| ~ spl8_98 ),
inference(forward_demodulation,[],[f1251,f622]) ).
fof(f1251,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl8_72
| ~ spl8_98 ),
inference(duplicate_literal_removal,[],[f1250]) ).
fof(f1250,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_72
| ~ spl8_98 ),
inference(forward_demodulation,[],[f141,f1241]) ).
fof(f1249,plain,
( spl8_115
| spl8_1
| spl8_2
| ~ spl8_71
| ~ spl8_75
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f1238,f1142,f644,f620,f283,f278,f1166]) ).
fof(f1238,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| ~ spl8_71
| ~ spl8_75
| ~ spl8_113 ),
inference(duplicate_literal_removal,[],[f1237]) ).
fof(f1237,plain,
( e0 = e2
| e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| ~ spl8_71
| ~ spl8_75
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1236,f622]) ).
fof(f1236,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| ~ spl8_75
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1235,f1144]) ).
fof(f1234,plain,
( spl8_86
| spl8_2
| spl8_1
| ~ spl8_22
| ~ spl8_71
| ~ spl8_109
| ~ spl8_113 ),
inference(avatar_split_clause,[],[f1217,f1142,f982,f620,f375,f278,f283,f704]) ).
fof(f1217,plain,
( e0 = e1
| e0 = e2
| e0 = op(e2,e2)
| ~ spl8_22
| ~ spl8_71
| ~ spl8_109
| ~ spl8_113 ),
inference(forward_demodulation,[],[f1216,f1144]) ).
fof(f1216,plain,
( e0 = e2
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl8_22
| ~ spl8_71
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1215,f622]) ).
fof(f1215,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| ~ spl8_22
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1214]) ).
fof(f1213,plain,
( spl8_1
| ~ spl8_113
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f1211,f1162,f1142,f278]) ).
fof(f1211,plain,
( e0 = e1
| ~ spl8_113
| ~ spl8_114 ),
inference(forward_demodulation,[],[f1144,f1164]) ).
fof(f1206,plain,
( spl8_4
| ~ spl8_75
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f1205,f718,f644,f293]) ).
fof(f1205,plain,
( e1 = e2
| ~ spl8_75
| ~ spl8_89 ),
inference(forward_demodulation,[],[f646,f719]) ).
fof(f1203,plain,
( spl8_4
| ~ spl8_12
| ~ spl8_117 ),
inference(avatar_split_clause,[],[f1201,f1189,f330,f293]) ).
fof(f1201,plain,
( e1 = e2
| ~ spl8_12
| ~ spl8_117 ),
inference(forward_demodulation,[],[f1191,f332]) ).
fof(f1200,plain,
( spl8_2
| ~ spl8_83
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f1199,f712,f689,f283]) ).
fof(f1199,plain,
( e0 = e2
| ~ spl8_83
| ~ spl8_88 ),
inference(forward_demodulation,[],[f713,f690]) ).
fof(f1196,plain,
( spl8_104
| spl8_88
| spl8_117
| spl8_118 ),
inference(avatar_split_clause,[],[f137,f1193,f1189,f712,f812]) ).
fof(f137,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1181,plain,
( spl8_96
| spl8_83
| spl8_116
| spl8_1
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f1132,f330,f278,f1178,f689,f760]) ).
fof(f1132,plain,
( e0 = e1
| e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f133,f332]) ).
fof(f1171,plain,
( spl8_97
| ~ spl8_22
| ~ spl8_109
| ~ spl8_115 ),
inference(avatar_split_clause,[],[f1170,f1166,f982,f375,f764]) ).
fof(f1170,plain,
( e0 = op(e2,e0)
| ~ spl8_22
| ~ spl8_109
| ~ spl8_115 ),
inference(forward_demodulation,[],[f1168,f1150]) ).
fof(f1169,plain,
( spl8_114
| spl8_115
| spl8_1
| spl8_2
| ~ spl8_71
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f1149,f718,f620,f283,f278,f1166,f1162]) ).
fof(f1149,plain,
( e0 = e2
| e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| ~ spl8_71
| ~ spl8_89 ),
inference(forward_demodulation,[],[f1148,f622]) ).
fof(f1148,plain,
( e0 = e1
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| ~ spl8_89 ),
inference(forward_demodulation,[],[f141,f719]) ).
fof(f1147,plain,
( spl8_77
| ~ spl8_71
| ~ spl8_89
| ~ spl8_97 ),
inference(avatar_split_clause,[],[f1146,f764,f718,f620,f656]) ).
fof(f1146,plain,
( op(e0,e0) = e1
| ~ spl8_71
| ~ spl8_89
| ~ spl8_97 ),
inference(forward_demodulation,[],[f719,f1134]) ).
fof(f1145,plain,
( spl8_113
| spl8_89
| spl8_112
| spl8_4
| ~ spl8_71 ),
inference(avatar_split_clause,[],[f847,f620,f293,f1113,f718,f1142]) ).
fof(f847,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| ~ spl8_71 ),
inference(forward_demodulation,[],[f143,f622]) ).
fof(f1138,plain,
( spl8_20
| spl8_95
| spl8_4
| spl8_5
| ~ spl8_71
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1131,f982,f620,f298,f293,f749,f366]) ).
fof(f1131,plain,
( e1 = e3
| e1 = e2
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| ~ spl8_71
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1130,f984]) ).
fof(f1129,plain,
( spl8_4
| ~ spl8_71
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f822,f745,f620,f293]) ).
fof(f822,plain,
( e1 = e2
| ~ spl8_71
| ~ spl8_94 ),
inference(forward_demodulation,[],[f622,f747]) ).
fof(f1125,plain,
( spl8_94
| spl8_95
| spl8_1
| spl8_5
| ~ spl8_96
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1042,f982,f760,f298,f278,f749,f745]) ).
fof(f1042,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| ~ spl8_96
| ~ spl8_109 ),
inference(forward_demodulation,[],[f949,f984]) ).
fof(f1124,plain,
( ~ spl8_16
| ~ spl8_12
| spl8_56 ),
inference(avatar_split_clause,[],[f652,f545,f330,f348]) ).
fof(f545,plain,
( spl8_56
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_56])]) ).
fof(f652,plain,
( e1 != op(e1,e1)
| ~ spl8_12
| spl8_56 ),
inference(superposition,[],[f547,f332]) ).
fof(f547,plain,
( op(e1,e1) != op(e1,e2)
| spl8_56 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f1117,plain,
( spl8_108
| spl8_85
| spl8_1
| spl8_5
| ~ spl8_72
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f956,f736,f624,f298,f278,f697,f971]) ).
fof(f956,plain,
( e1 = e3
| e0 = e1
| e1 = op(e3,e3)
| e1 = op(e3,e1)
| ~ spl8_72
| ~ spl8_93 ),
inference(forward_demodulation,[],[f919,f626]) ).
fof(f1116,plain,
( ~ spl8_91
| ~ spl8_112
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1066,f982,f1113,f726]) ).
fof(f1066,plain,
( e1 != op(e2,e3)
| e2 != op(e3,e3)
| ~ spl8_109 ),
inference(trivial_inequality_removal,[],[f1065]) ).
fof(f1065,plain,
( e3 != e3
| e1 != op(e2,e3)
| e2 != op(e3,e3)
| ~ spl8_109 ),
inference(forward_demodulation,[],[f268,f984]) ).
fof(f268,plain,
( op(e0,e0) != e3
| e1 != op(e2,e3)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f267]) ).
fof(f267,plain,
( op(e0,e0) != e3
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(inner_rewriting,[],[f224]) ).
fof(f224,plain,
( op(e0,e0) != e3
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( op(e0,e0) != e3
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( op(e0,e0) = e3
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f1108,plain,
( ~ spl8_7
| ~ spl8_74 ),
inference(avatar_split_clause,[],[f174,f634,f308]) ).
fof(f174,plain,
( e3 != op(e3,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e3 != op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f61]) ).
fof(f1063,plain,
( spl8_1
| ~ spl8_20
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f1046,f760,f366,f278]) ).
fof(f1046,plain,
( e0 = e1
| ~ spl8_20
| ~ spl8_96 ),
inference(forward_demodulation,[],[f368,f762]) ).
fof(f1048,plain,
( spl8_6
| ~ spl8_74
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f1044,f965,f634,f303]) ).
fof(f1044,plain,
( e2 = e3
| ~ spl8_74
| ~ spl8_107 ),
inference(forward_demodulation,[],[f636,f967]) ).
fof(f1032,plain,
( spl8_6
| ~ spl8_102
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1007,f982,f793,f303]) ).
fof(f1007,plain,
( e2 = e3
| ~ spl8_102
| ~ spl8_109 ),
inference(forward_demodulation,[],[f984,f795]) ).
fof(f1027,plain,
( spl8_6
| ~ spl8_81
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f1012,f990,f679,f303]) ).
fof(f1012,plain,
( e2 = e3
| ~ spl8_81
| ~ spl8_111 ),
inference(forward_demodulation,[],[f992,f680]) ).
fof(f1016,plain,
( spl8_4
| ~ spl8_107
| ~ spl8_108 ),
inference(avatar_split_clause,[],[f1010,f971,f965,f293]) ).
fof(f1010,plain,
( e1 = e2
| ~ spl8_107
| ~ spl8_108 ),
inference(forward_demodulation,[],[f967,f973]) ).
fof(f1009,plain,
( spl8_5
| ~ spl8_81
| ~ spl8_101
| ~ spl8_102
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1008,f982,f793,f786,f679,f298]) ).
fof(f1008,plain,
( e1 = e3
| ~ spl8_81
| ~ spl8_101
| ~ spl8_102
| ~ spl8_109 ),
inference(forward_demodulation,[],[f1007,f957]) ).
fof(f1005,plain,
( spl8_3
| ~ spl8_18
| ~ spl8_110 ),
inference(avatar_split_clause,[],[f1002,f986,f357,f288]) ).
fof(f1002,plain,
( e0 = e3
| ~ spl8_18
| ~ spl8_110 ),
inference(forward_demodulation,[],[f988,f359]) ).
fof(f1001,plain,
( spl8_3
| ~ spl8_18
| ~ spl8_81
| ~ spl8_87
| ~ spl8_101 ),
inference(avatar_split_clause,[],[f1000,f786,f708,f679,f357,f288]) ).
fof(f1000,plain,
( e0 = e3
| ~ spl8_18
| ~ spl8_81
| ~ spl8_87
| ~ spl8_101 ),
inference(forward_demodulation,[],[f999,f359]) ).
fof(f999,plain,
( e3 = op(e0,e1)
| ~ spl8_81
| ~ spl8_87
| ~ spl8_101 ),
inference(forward_demodulation,[],[f709,f957]) ).
fof(f997,plain,
( spl8_5
| ~ spl8_81
| ~ spl8_101
| ~ spl8_111 ),
inference(avatar_split_clause,[],[f995,f990,f786,f679,f298]) ).
fof(f995,plain,
( e1 = e3
| ~ spl8_81
| ~ spl8_101
| ~ spl8_111 ),
inference(forward_demodulation,[],[f994,f957]) ).
fof(f994,plain,
( e2 = e3
| ~ spl8_81
| ~ spl8_111 ),
inference(forward_demodulation,[],[f992,f680]) ).
fof(f993,plain,
( spl8_109
| spl8_110
| spl8_87
| spl8_111 ),
inference(avatar_split_clause,[],[f131,f990,f708,f986,f982]) ).
fof(f131,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f974,plain,
( spl8_108
| ~ spl8_81
| ~ spl8_101
| ~ spl8_107 ),
inference(avatar_split_clause,[],[f969,f965,f786,f679,f971]) ).
fof(f969,plain,
( e1 = op(e3,e1)
| ~ spl8_81
| ~ spl8_101
| ~ spl8_107 ),
inference(forward_demodulation,[],[f967,f957]) ).
fof(f968,plain,
( spl8_107
| spl8_91
| spl8_2
| spl8_6
| ~ spl8_72
| ~ spl8_93 ),
inference(avatar_split_clause,[],[f951,f736,f624,f303,f283,f726,f965]) ).
fof(f951,plain,
( e2 = e3
| e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| ~ spl8_72
| ~ spl8_93 ),
inference(forward_demodulation,[],[f950,f626]) ).
fof(f950,plain,
( e0 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl8_93 ),
inference(forward_demodulation,[],[f153,f737]) ).
fof(f954,plain,
( spl8_1
| ~ spl8_18
| ~ spl8_99 ),
inference(avatar_split_clause,[],[f952,f778,f357,f278]) ).
fof(f952,plain,
( e0 = e1
| ~ spl8_18
| ~ spl8_99 ),
inference(forward_demodulation,[],[f780,f359]) ).
fof(f948,plain,
( spl8_6
| ~ spl8_72
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f939,f816,f624,f303]) ).
fof(f939,plain,
( e2 = e3
| ~ spl8_72
| ~ spl8_105 ),
inference(superposition,[],[f818,f626]) ).
fof(f929,plain,
( spl8_2
| ~ spl8_96
| ~ spl8_104 ),
inference(avatar_split_clause,[],[f927,f812,f760,f283]) ).
fof(f927,plain,
( e0 = e2
| ~ spl8_96
| ~ spl8_104 ),
inference(forward_demodulation,[],[f814,f762]) ).
fof(f926,plain,
( spl8_4
| ~ spl8_77
| ~ spl8_102 ),
inference(avatar_split_clause,[],[f920,f793,f656,f293]) ).
fof(f920,plain,
( e1 = e2
| ~ spl8_77
| ~ spl8_102 ),
inference(forward_demodulation,[],[f795,f657]) ).
fof(f914,plain,
( spl8_6
| spl8_3
| spl8_5
| ~ spl8_71
| ~ spl8_77
| ~ spl8_95
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f913,f760,f749,f656,f620,f298,f288,f303]) ).
fof(f913,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_71
| ~ spl8_77
| ~ spl8_95
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f912]) ).
fof(f912,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| e1 = e3
| ~ spl8_71
| ~ spl8_77
| ~ spl8_95
| ~ spl8_96 ),
inference(forward_demodulation,[],[f911,f657]) ).
fof(f911,plain,
( e0 = e3
| e2 = e3
| e1 = e3
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_95
| ~ spl8_96 ),
inference(forward_demodulation,[],[f910,f762]) ).
fof(f910,plain,
( e2 = e3
| e1 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_71
| ~ spl8_95 ),
inference(forward_demodulation,[],[f885,f622]) ).
fof(f908,plain,
( spl8_6
| spl8_3
| ~ spl8_12
| ~ spl8_71
| ~ spl8_77
| ~ spl8_90
| ~ spl8_95
| ~ spl8_96 ),
inference(avatar_split_clause,[],[f892,f760,f749,f722,f656,f620,f330,f288,f303]) ).
fof(f892,plain,
( e0 = e3
| e2 = e3
| ~ spl8_12
| ~ spl8_71
| ~ spl8_77
| ~ spl8_90
| ~ spl8_95
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f891]) ).
fof(f891,plain,
( e0 = e3
| e0 = e3
| e2 = e3
| ~ spl8_12
| ~ spl8_71
| ~ spl8_77
| ~ spl8_90
| ~ spl8_95
| ~ spl8_96 ),
inference(forward_demodulation,[],[f890,f877]) ).
fof(f890,plain,
( e1 = e3
| e0 = e3
| e2 = e3
| ~ spl8_12
| ~ spl8_71
| ~ spl8_77
| ~ spl8_90
| ~ spl8_95
| ~ spl8_96 ),
inference(forward_demodulation,[],[f889,f657]) ).
fof(f889,plain,
( e0 = e3
| e2 = e3
| op(e0,e0) = e3
| ~ spl8_12
| ~ spl8_71
| ~ spl8_90
| ~ spl8_95
| ~ spl8_96 ),
inference(duplicate_literal_removal,[],[f888]) ).
fof(f888,plain,
( e0 = e3
| e2 = e3
| e0 = e3
| op(e0,e0) = e3
| ~ spl8_12
| ~ spl8_71
| ~ spl8_90
| ~ spl8_95
| ~ spl8_96 ),
inference(forward_demodulation,[],[f887,f762]) ).
fof(f887,plain,
( e2 = e3
| e0 = e3
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_12
| ~ spl8_71
| ~ spl8_90
| ~ spl8_95 ),
inference(forward_demodulation,[],[f886,f622]) ).
fof(f886,plain,
( e0 = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| ~ spl8_12
| ~ spl8_90
| ~ spl8_95 ),
inference(forward_demodulation,[],[f885,f877]) ).
fof(f883,plain,
( spl8_5
| ~ spl8_72
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f849,f749,f624,f298]) ).
fof(f849,plain,
( e1 = e3
| ~ spl8_72
| ~ spl8_95 ),
inference(superposition,[],[f751,f626]) ).
fof(f876,plain,
( spl8_90
| ~ spl8_72
| ~ spl8_93
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f873,f749,f736,f624,f722]) ).
fof(f873,plain,
( e0 = op(e1,e2)
| ~ spl8_72
| ~ spl8_93
| ~ spl8_95 ),
inference(forward_demodulation,[],[f737,f849]) ).
fof(f872,plain,
( ~ spl8_83
| ~ spl8_72
| ~ spl8_95
| spl8_106 ),
inference(avatar_split_clause,[],[f863,f859,f749,f624,f689]) ).
fof(f863,plain,
( e0 != op(e1,e1)
| ~ spl8_72
| ~ spl8_95
| spl8_106 ),
inference(forward_demodulation,[],[f860,f849]) ).
fof(f865,plain,
( spl8_83
| ~ spl8_72
| ~ spl8_80
| ~ spl8_95 ),
inference(avatar_split_clause,[],[f864,f749,f675,f624,f689]) ).
fof(f864,plain,
( e0 = op(e1,e1)
| ~ spl8_72
| ~ spl8_80
| ~ spl8_95 ),
inference(forward_demodulation,[],[f676,f849]) ).
fof(f862,plain,
( spl8_106
| spl8_93
| spl8_80
| spl8_3
| ~ spl8_72 ),
inference(avatar_split_clause,[],[f846,f624,f288,f675,f736,f859]) ).
fof(f846,plain,
( e0 = e3
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| ~ spl8_72 ),
inference(forward_demodulation,[],[f149,f626]) ).
fof(f845,plain,
( spl8_1
| ~ spl8_22
| ~ spl8_77 ),
inference(avatar_split_clause,[],[f791,f656,f375,f278]) ).
fof(f791,plain,
( e0 = e1
| ~ spl8_22
| ~ spl8_77 ),
inference(forward_demodulation,[],[f657,f377]) ).
fof(f824,plain,
( spl8_2
| ~ spl8_22
| ~ spl8_71
| ~ spl8_77
| ~ spl8_94 ),
inference(avatar_split_clause,[],[f823,f745,f656,f620,f375,f283]) ).
fof(f823,plain,
( e0 = e2
| ~ spl8_22
| ~ spl8_71
| ~ spl8_77
| ~ spl8_94 ),
inference(forward_demodulation,[],[f822,f791]) ).
fof(f819,plain,
( spl8_102
| spl8_104
| spl8_71
| spl8_105 ),
inference(avatar_split_clause,[],[f130,f816,f620,f812,f793]) ).
fof(f130,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f803,plain,
( spl8_2
| ~ spl8_18
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f802,f693,f357,f283]) ).
fof(f802,plain,
( e0 = e2
| ~ spl8_18
| ~ spl8_84 ),
inference(forward_demodulation,[],[f694,f359]) ).
fof(f800,plain,
( spl8_102
| spl8_84
| spl8_103
| spl8_81 ),
inference(avatar_split_clause,[],[f129,f679,f797,f693,f793]) ).
fof(f129,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f789,plain,
( spl8_77
| spl8_99
| spl8_100
| spl8_101 ),
inference(avatar_split_clause,[],[f127,f786,f782,f778,f656]) ).
fof(f127,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f771,plain,
( spl8_22
| spl8_96
| spl8_97
| spl8_98 ),
inference(avatar_split_clause,[],[f126,f768,f764,f760,f375]) ).
fof(f126,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f752,plain,
( spl8_20
| spl8_94
| spl8_95
| spl8_1
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f743,f375,f278,f749,f745,f366]) ).
fof(f743,plain,
( e0 = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| ~ spl8_22 ),
inference(forward_demodulation,[],[f128,f377]) ).
fof(f740,plain,
( ~ spl8_20
| ~ spl8_16
| spl8_53 ),
inference(avatar_split_clause,[],[f638,f530,f348,f366]) ).
fof(f530,plain,
( spl8_53
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_53])]) ).
fof(f638,plain,
( e1 != op(e1,e0)
| ~ spl8_16
| spl8_53 ),
inference(superposition,[],[f532,f350]) ).
fof(f532,plain,
( op(e1,e0) != op(e1,e1)
| spl8_53 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f739,plain,
( ~ spl8_92
| ~ spl8_93
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f250,f712,f736,f732]) ).
fof(f250,plain,
( e2 != op(e1,e1)
| e0 != op(e3,e2)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f249]) ).
fof(f249,plain,
( e2 != op(e1,e1)
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(inner_rewriting,[],[f215]) ).
fof(f215,plain,
( e2 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e2 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f729,plain,
( ~ spl8_89
| ~ spl8_90
| ~ spl8_91 ),
inference(avatar_split_clause,[],[f244,f726,f722,f718]) ).
fof(f244,plain,
( e2 != op(e3,e3)
| e0 != op(e1,e2)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f243]) ).
fof(f243,plain,
( e2 != op(e3,e3)
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(inner_rewriting,[],[f212]) ).
fof(f212,plain,
( e2 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e2 != op(e3,e3)
| e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f715,plain,
( ~ spl8_86
| ~ spl8_87
| ~ spl8_88 ),
inference(avatar_split_clause,[],[f238,f712,f708,f704]) ).
fof(f238,plain,
( e2 != op(e1,e1)
| e3 != op(e0,e2)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f237]) ).
fof(f237,plain,
( e2 != op(e1,e1)
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(inner_rewriting,[],[f209]) ).
fof(f209,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f700,plain,
( ~ spl8_83
| ~ spl8_84
| ~ spl8_85 ),
inference(avatar_split_clause,[],[f236,f697,f693,f689]) ).
fof(f236,plain,
( e1 != op(e3,e3)
| e2 != op(e0,e1)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f235]) ).
fof(f235,plain,
( e1 != op(e3,e3)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f208]) ).
fof(f208,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f686,plain,
( ~ spl8_80
| ~ spl8_81
| ~ spl8_82 ),
inference(avatar_split_clause,[],[f234,f683,f679,f675]) ).
fof(f234,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e3)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f233]) ).
fof(f233,plain,
( e3 != op(e1,e1)
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(inner_rewriting,[],[f207]) ).
fof(f207,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f669,plain,
( spl8_9
| spl8_7
| spl8_78
| spl8_79 ),
inference(avatar_split_clause,[],[f201,f666,f662,f308,f317]) ).
fof(f201,plain,
( e3 = op(e3,e3)
| e2 = op(e2,e3)
| sP7
| sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f659,plain,
( ~ spl8_77
| ~ spl8_20
| spl8_23 ),
inference(avatar_split_clause,[],[f628,f380,f366,f656]) ).
fof(f380,plain,
( spl8_23
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
fof(f628,plain,
( op(e0,e0) != e1
| ~ spl8_20
| spl8_23 ),
inference(superposition,[],[f382,f368]) ).
fof(f382,plain,
( op(e0,e0) != op(e1,e0)
| spl8_23 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f651,plain,
( spl8_13
| spl8_11
| spl8_75
| spl8_76 ),
inference(avatar_split_clause,[],[f197,f648,f644,f326,f335]) ).
fof(f197,plain,
( e3 = op(e3,e2)
| e2 = op(e2,e2)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f62]) ).
fof(f642,plain,
( ~ spl8_19
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f186,f357,f362]) ).
fof(f362,plain,
( spl8_19
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f186,plain,
( e0 != op(e0,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e0 != op(e0,e1)
& e1 = op(e1,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f640,plain,
( ~ spl8_15
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f182,f348,f344]) ).
fof(f182,plain,
( e1 != op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f637,plain,
( spl8_17
| spl8_15
| spl8_73
| spl8_74 ),
inference(avatar_split_clause,[],[f193,f634,f630,f344,f353]) ).
fof(f193,plain,
( e3 = op(e3,e1)
| e2 = op(e2,e1)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f627,plain,
( spl8_21
| spl8_19
| spl8_71
| spl8_72 ),
inference(avatar_split_clause,[],[f189,f624,f620,f362,f371]) ).
fof(f189,plain,
( e3 = op(e3,e0)
| e2 = op(e2,e0)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f618,plain,
~ spl8_70,
inference(avatar_split_clause,[],[f124,f615]) ).
fof(f615,plain,
( spl8_70
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_70])]) ).
fof(f124,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f613,plain,
~ spl8_69,
inference(avatar_split_clause,[],[f123,f610]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f608,plain,
~ spl8_68,
inference(avatar_split_clause,[],[f122,f605]) ).
fof(f605,plain,
( spl8_68
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_68])]) ).
fof(f122,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f603,plain,
~ spl8_67,
inference(avatar_split_clause,[],[f121,f600]) ).
fof(f600,plain,
( spl8_67
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_67])]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f598,plain,
~ spl8_66,
inference(avatar_split_clause,[],[f120,f595]) ).
fof(f595,plain,
( spl8_66
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_66])]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f593,plain,
~ spl8_65,
inference(avatar_split_clause,[],[f119,f590]) ).
fof(f590,plain,
( spl8_65
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_65])]) ).
fof(f119,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f588,plain,
~ spl8_64,
inference(avatar_split_clause,[],[f118,f585]) ).
fof(f585,plain,
( spl8_64
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_64])]) ).
fof(f118,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f583,plain,
~ spl8_63,
inference(avatar_split_clause,[],[f117,f580]) ).
fof(f580,plain,
( spl8_63
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_63])]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f578,plain,
~ spl8_62,
inference(avatar_split_clause,[],[f116,f575]) ).
fof(f575,plain,
( spl8_62
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_62])]) ).
fof(f116,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f573,plain,
~ spl8_61,
inference(avatar_split_clause,[],[f115,f570]) ).
fof(f570,plain,
( spl8_61
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_61])]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f568,plain,
~ spl8_60,
inference(avatar_split_clause,[],[f114,f565]) ).
fof(f565,plain,
( spl8_60
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_60])]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f563,plain,
~ spl8_59,
inference(avatar_split_clause,[],[f113,f560]) ).
fof(f560,plain,
( spl8_59
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_59])]) ).
fof(f113,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f558,plain,
~ spl8_58,
inference(avatar_split_clause,[],[f112,f555]) ).
fof(f112,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f553,plain,
~ spl8_57,
inference(avatar_split_clause,[],[f111,f550]) ).
fof(f550,plain,
( spl8_57
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_57])]) ).
fof(f111,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f548,plain,
~ spl8_56,
inference(avatar_split_clause,[],[f110,f545]) ).
fof(f110,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f543,plain,
~ spl8_55,
inference(avatar_split_clause,[],[f109,f540]) ).
fof(f540,plain,
( spl8_55
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_55])]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f538,plain,
~ spl8_54,
inference(avatar_split_clause,[],[f108,f535]) ).
fof(f535,plain,
( spl8_54
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_54])]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f533,plain,
~ spl8_53,
inference(avatar_split_clause,[],[f107,f530]) ).
fof(f107,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f528,plain,
~ spl8_52,
inference(avatar_split_clause,[],[f106,f525]) ).
fof(f525,plain,
( spl8_52
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_52])]) ).
fof(f106,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f523,plain,
~ spl8_51,
inference(avatar_split_clause,[],[f105,f520]) ).
fof(f520,plain,
( spl8_51
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_51])]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f518,plain,
~ spl8_50,
inference(avatar_split_clause,[],[f104,f515]) ).
fof(f515,plain,
( spl8_50
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_50])]) ).
fof(f104,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f513,plain,
~ spl8_49,
inference(avatar_split_clause,[],[f103,f510]) ).
fof(f510,plain,
( spl8_49
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_49])]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f508,plain,
~ spl8_48,
inference(avatar_split_clause,[],[f102,f505]) ).
fof(f505,plain,
( spl8_48
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_48])]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f503,plain,
~ spl8_47,
inference(avatar_split_clause,[],[f101,f500]) ).
fof(f101,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f498,plain,
~ spl8_46,
inference(avatar_split_clause,[],[f100,f495]) ).
fof(f495,plain,
( spl8_46
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_46])]) ).
fof(f100,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f493,plain,
~ spl8_45,
inference(avatar_split_clause,[],[f99,f490]) ).
fof(f490,plain,
( spl8_45
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_45])]) ).
fof(f99,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f488,plain,
~ spl8_44,
inference(avatar_split_clause,[],[f98,f485]) ).
fof(f485,plain,
( spl8_44
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_44])]) ).
fof(f98,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f483,plain,
~ spl8_43,
inference(avatar_split_clause,[],[f97,f480]) ).
fof(f480,plain,
( spl8_43
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_43])]) ).
fof(f97,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f478,plain,
~ spl8_42,
inference(avatar_split_clause,[],[f96,f475]) ).
fof(f475,plain,
( spl8_42
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).
fof(f96,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f473,plain,
~ spl8_41,
inference(avatar_split_clause,[],[f95,f470]) ).
fof(f95,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f468,plain,
~ spl8_40,
inference(avatar_split_clause,[],[f94,f465]) ).
fof(f465,plain,
( spl8_40
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_40])]) ).
fof(f94,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f463,plain,
~ spl8_39,
inference(avatar_split_clause,[],[f93,f460]) ).
fof(f460,plain,
( spl8_39
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_39])]) ).
fof(f93,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f458,plain,
~ spl8_38,
inference(avatar_split_clause,[],[f92,f455]) ).
fof(f455,plain,
( spl8_38
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).
fof(f92,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f453,plain,
~ spl8_37,
inference(avatar_split_clause,[],[f91,f450]) ).
fof(f450,plain,
( spl8_37
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_37])]) ).
fof(f91,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f448,plain,
~ spl8_36,
inference(avatar_split_clause,[],[f90,f445]) ).
fof(f445,plain,
( spl8_36
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_36])]) ).
fof(f90,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f443,plain,
~ spl8_35,
inference(avatar_split_clause,[],[f89,f440]) ).
fof(f440,plain,
( spl8_35
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_35])]) ).
fof(f89,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f438,plain,
~ spl8_34,
inference(avatar_split_clause,[],[f88,f435]) ).
fof(f435,plain,
( spl8_34
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).
fof(f88,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f433,plain,
~ spl8_33,
inference(avatar_split_clause,[],[f87,f430]) ).
fof(f430,plain,
( spl8_33
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).
fof(f87,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f428,plain,
~ spl8_32,
inference(avatar_split_clause,[],[f86,f425]) ).
fof(f425,plain,
( spl8_32
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).
fof(f86,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f423,plain,
~ spl8_31,
inference(avatar_split_clause,[],[f85,f420]) ).
fof(f420,plain,
( spl8_31
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).
fof(f85,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f418,plain,
~ spl8_30,
inference(avatar_split_clause,[],[f84,f415]) ).
fof(f84,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f413,plain,
~ spl8_29,
inference(avatar_split_clause,[],[f83,f410]) ).
fof(f410,plain,
( spl8_29
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).
fof(f83,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f408,plain,
~ spl8_28,
inference(avatar_split_clause,[],[f82,f405]) ).
fof(f82,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f403,plain,
~ spl8_27,
inference(avatar_split_clause,[],[f81,f400]) ).
fof(f81,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f398,plain,
~ spl8_26,
inference(avatar_split_clause,[],[f80,f395]) ).
fof(f395,plain,
( spl8_26
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f80,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f393,plain,
~ spl8_25,
inference(avatar_split_clause,[],[f79,f390]) ).
fof(f79,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f388,plain,
~ spl8_24,
inference(avatar_split_clause,[],[f78,f385]) ).
fof(f385,plain,
( spl8_24
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
fof(f78,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f383,plain,
~ spl8_23,
inference(avatar_split_clause,[],[f77,f380]) ).
fof(f77,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f378,plain,
( ~ spl8_21
| spl8_22 ),
inference(avatar_split_clause,[],[f187,f375,f371]) ).
fof(f187,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f369,plain,
( ~ spl8_19
| spl8_20 ),
inference(avatar_split_clause,[],[f185,f366,f362]) ).
fof(f185,plain,
( e1 = op(e1,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f360,plain,
( ~ spl8_17
| spl8_18 ),
inference(avatar_split_clause,[],[f183,f357,f353]) ).
fof(f183,plain,
( e0 = op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f351,plain,
( ~ spl8_15
| spl8_16 ),
inference(avatar_split_clause,[],[f181,f348,f344]) ).
fof(f181,plain,
( e1 = op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f67]) ).
fof(f342,plain,
( ~ spl8_13
| spl8_14 ),
inference(avatar_split_clause,[],[f179,f339,f335]) ).
fof(f179,plain,
( e0 = op(e0,e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f66]) ).
fof(f333,plain,
( ~ spl8_11
| spl8_12 ),
inference(avatar_split_clause,[],[f177,f330,f326]) ).
fof(f177,plain,
( e1 = op(e1,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f65]) ).
fof(f324,plain,
( ~ spl8_9
| spl8_10 ),
inference(avatar_split_clause,[],[f175,f321,f317]) ).
fof(f175,plain,
( e0 = op(e0,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f64]) ).
fof(f315,plain,
( ~ spl8_7
| spl8_8 ),
inference(avatar_split_clause,[],[f173,f312,f308]) ).
fof(f173,plain,
( e1 = op(e1,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f63]) ).
fof(f306,plain,
~ spl8_6,
inference(avatar_split_clause,[],[f76,f303]) ).
fof(f76,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f301,plain,
~ spl8_5,
inference(avatar_split_clause,[],[f75,f298]) ).
fof(f75,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f296,plain,
~ spl8_4,
inference(avatar_split_clause,[],[f74,f293]) ).
fof(f74,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f291,plain,
~ spl8_3,
inference(avatar_split_clause,[],[f73,f288]) ).
fof(f73,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f286,plain,
~ spl8_2,
inference(avatar_split_clause,[],[f72,f283]) ).
fof(f72,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f281,plain,
~ spl8_1,
inference(avatar_split_clause,[],[f71,f278]) ).
fof(f71,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ALG135+1 : TPTP v8.2.0. Released v2.7.0.
% 0.06/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n025.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat May 18 23:13:52 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.32 % (27842)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (27843)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.34 % (27848)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.34 % (27845)WARNING: value z3 for option sas not known
% 0.16/0.34 % (27846)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34 % (27845)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34 % (27849)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.34 % (27847)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.35 % (27844)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.35 Detected minimum model sizes of [4]
% 0.16/0.35 Detected maximum model sizes of [max]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 Detected minimum model sizes of [4]
% 0.16/0.35 Detected maximum model sizes of [max]
% 0.16/0.35 TRYING [4]
% 0.16/0.36 TRYING [5]
% 0.16/0.37 TRYING [5]
% 0.16/0.38 TRYING [6]
% 0.16/0.39 TRYING [6]
% 0.16/0.41 TRYING [7]
% 0.16/0.41 TRYING [7]
% 0.16/0.44 TRYING [8]
% 0.16/0.44 TRYING [8]
% 0.16/0.48 TRYING [9]
% 0.16/0.49 TRYING [9]
% 0.16/0.54 TRYING [10]
% 1.73/0.56 TRYING [10]
% 1.73/0.60 TRYING [11]
% 1.73/0.64 TRYING [11]
% 2.59/0.69 TRYING [12]
% 2.94/0.74 TRYING [12]
% 3.01/0.80 TRYING [13]
% 3.46/0.85 TRYING [13]
% 3.82/0.92 % (27847)First to succeed.
% 3.82/0.94 TRYING [14]
% 3.82/0.94 % (27847)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27842"
% 3.82/0.94 % (27847)Refutation found. Thanks to Tanya!
% 3.82/0.94 % SZS status Unsatisfiable for theBenchmark
% 3.82/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 4.40/0.96 % (27847)------------------------------
% 4.40/0.96 % (27847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.40/0.96 % (27847)Termination reason: Refutation
% 4.40/0.96
% 4.40/0.96 % (27847)Memory used [KB]: 3524
% 4.40/0.96 % (27847)Time elapsed: 0.604 s
% 4.40/0.96 % (27847)Instructions burned: 1356 (million)
% 4.40/0.96 % (27842)Success in time 0.632 s
%------------------------------------------------------------------------------