TSTP Solution File: ALG145+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG145+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:43:05 EDT 2022
% Result : Unsatisfiable 2.88s 0.75s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 148
% Syntax : Number of formulae : 1356 ( 55 unt; 0 def)
% Number of atoms : 4133 (1715 equ)
% Maximal formula atoms : 176 ( 3 avg)
% Number of connectives : 5065 (2288 ~;2269 |; 395 &)
% ( 113 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 130 ( 128 usr; 129 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4210,plain,
$false,
inference(avatar_sat_refutation,[],[f348,f365,f382,f391,f396,f409,f418,f440,f454,f468,f490,f503,f516,f521,f539,f548,f562,f575,f584,f589,f594,f607,f612,f621,f626,f627,f628,f650,f679,f684,f689,f698,f699,f712,f721,f722,f731,f736,f737,f746,f755,f764,f765,f766,f767,f772,f777,f782,f783,f784,f789,f795,f796,f797,f798,f809,f814,f815,f817,f818,f819,f820,f821,f826,f827,f833,f834,f835,f836,f837,f840,f841,f846,f847,f848,f849,f851,f852,f853,f859,f864,f865,f866,f867,f872,f877,f882,f883,f886,f888,f890,f891,f892,f893,f894,f895,f901,f903,f904,f905,f906,f907,f908,f909,f910,f915,f921,f922,f923,f924,f925,f926,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f952,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f977,f978,f987,f1021,f1027,f1030,f1033,f1053,f1054,f1061,f1063,f1064,f1065,f1068,f1073,f1074,f1075,f1079,f1087,f1104,f1107,f1110,f1113,f1120,f1123,f1130,f1136,f1139,f1141,f1146,f1163,f1196,f1202,f1214,f1221,f1223,f1245,f1248,f1251,f1269,f1276,f1278,f1285,f1315,f1320,f1331,f1341,f1351,f1355,f1367,f1368,f1374,f1376,f1379,f1401,f1406,f1410,f1426,f1446,f1459,f1474,f1484,f1489,f1492,f1498,f1522,f1525,f1536,f1581,f1626,f1629,f1633,f1638,f1644,f1652,f1660,f1663,f1674,f1681,f1683,f1692,f1694,f1698,f1707,f1710,f1750,f1760,f1768,f1777,f1782,f1792,f1798,f1809,f1821,f1826,f1827,f1860,f1876,f1884,f1893,f1896,f1915,f1929,f1944,f1970,f1981,f2008,f2015,f2035,f2047,f2050,f2115,f2134,f2139,f2149,f2158,f2169,f2181,f2196,f2267,f2285,f2294,f2313,f2352,f2376,f2400,f2405,f2414,f2417,f2419,f2427,f2444,f2449,f2455,f2459,f2483,f2488,f2493,f2506,f2518,f2538,f2555,f2560,f2565,f2566,f2569,f2573,f2580,f2582,f2585,f2591,f2600,f2603,f2609,f2615,f2621,f2634,f2642,f2645,f2673,f2686,f2687,f2692,f2720,f2739,f2776,f2810,f2826,f2841,f2850,f2878,f2903,f2911,f2918,f2920,f2929,f2931,f2942,f2945,f2957,f3004,f3017,f3026,f3028,f3034,f3046,f3052,f3054,f3057,f3061,f3073,f3086,f3089,f3124,f3170,f3174,f3180,f3185,f3189,f3192,f3197,f3222,f3234,f3292,f3333,f3335,f3337,f3340,f3344,f3348,f3350,f3358,f3371,f3390,f3391,f3422,f3445,f3452,f3458,f3460,f3465,f3466,f3470,f3474,f3477,f3485,f3490,f3554,f3559,f3562,f3573,f3589,f3604,f3633,f3635,f3637,f3640,f3646,f3649,f3651,f3658,f3663,f3694,f3745,f3758,f3764,f3765,f3769,f3771,f3772,f3778,f3788,f3790,f3795,f3796,f3809,f3811,f3815,f3818,f3874,f3901,f3907,f3909,f3912,f3916,f3920,f3924,f3927,f3929,f3931,f3935,f3940,f3948,f3952,f3955,f3960,f3969,f3978,f4051,f4058,f4060,f4062,f4064,f4066,f4068,f4071,f4074,f4076,f4080,f4095,f4097,f4103,f4107,f4111,f4112,f4116,f4123,f4128,f4149,f4162,f4185,f4203]) ).
fof(f4203,plain,
( ~ spl15_8
| spl15_15
| ~ spl15_35 ),
inference(avatar_contradiction_clause,[],[f4202]) ).
fof(f4202,plain,
( $false
| ~ spl15_8
| spl15_15
| ~ spl15_35 ),
inference(subsumption_resolution,[],[f4201,f475]) ).
fof(f475,plain,
( e0 = op(e2,e2)
| ~ spl15_35 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl15_35
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f4201,plain,
( e0 != op(e2,e2)
| ~ spl15_8
| spl15_15 ),
inference(forward_demodulation,[],[f386,f356]) ).
fof(f356,plain,
( e2 = op(e1,e1)
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl15_8
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f386,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| spl15_15 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl15_15
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f4185,plain,
( ~ spl15_8
| ~ spl15_12
| spl15_16 ),
inference(avatar_contradiction_clause,[],[f4184]) ).
fof(f4184,plain,
( $false
| ~ spl15_8
| ~ spl15_12
| spl15_16 ),
inference(subsumption_resolution,[],[f4177,f373]) ).
fof(f373,plain,
( e3 = op(e2,e1)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl15_12
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f4177,plain,
( e3 != op(e2,e1)
| ~ spl15_8
| spl15_16 ),
inference(backward_demodulation,[],[f390,f356]) ).
fof(f390,plain,
( e3 != op(op(e1,e1),e1)
| spl15_16 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl15_16
<=> e3 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f4162,plain,
( ~ spl15_95
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f4160,f823,f748]) ).
fof(f748,plain,
( spl15_95
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).
fof(f823,plain,
( spl15_107
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_107])]) ).
fof(f4160,plain,
( e1 != op(e0,e2)
| ~ spl15_107 ),
inference(backward_demodulation,[],[f151,f825]) ).
fof(f825,plain,
( e1 = op(e0,e1)
| ~ spl15_107 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f151,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e1,e2) != op(e1,e3)
& op(e0,e1) != op(e3,e1)
& op(e3,e2) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e1) != op(e2,e1)
& op(e0,e0) != op(e3,e0)
& op(e2,e0) != op(e2,e1)
& op(e0,e1) != op(e0,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e2)
& op(e0,e0) != op(e0,e2)
& op(e0,e1) != op(e2,e1)
& op(e3,e1) != op(e3,e3)
& op(e2,e0) != op(e3,e0)
& op(e0,e0) != op(e0,e1)
& op(e2,e1) != op(e3,e1)
& op(e3,e0) != op(e3,e1)
& op(e1,e1) != op(e1,e3)
& op(e1,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e3) != op(e2,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e1) != op(e0,e2)
& op(e2,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e2)
& op(e2,e0) != op(e2,e3)
& op(e1,e2) != op(e3,e2)
& op(e1,e0) != op(e1,e2)
& op(e0,e3) != op(e3,e3)
& op(e2,e1) != op(e2,e3)
& op(e0,e2) != op(e2,e2)
& op(e1,e0) != op(e1,e1)
& op(e2,e2) != op(e2,e3)
& op(e0,e0) != op(e1,e0)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e1,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e1) != op(e1,e2)
& op(e0,e1) != op(e1,e1)
& op(e3,e1) != op(e3,e2)
& op(e1,e1) != op(e3,e1)
& op(e0,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e3)
& op(e0,e3) != op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4149,plain,
( ~ spl15_102
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f4142,f596,f786]) ).
fof(f786,plain,
( spl15_102
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).
fof(f596,plain,
( spl15_62
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).
fof(f4142,plain,
( e3 != op(e0,e2)
| ~ spl15_62 ),
inference(backward_demodulation,[],[f138,f598]) ).
fof(f598,plain,
( e3 = op(e1,e2)
| ~ spl15_62 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f138,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4128,plain,
( ~ spl15_95
| ~ spl15_96 ),
inference(avatar_split_clause,[],[f4125,f752,f748]) ).
fof(f752,plain,
( spl15_96
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).
fof(f4125,plain,
( e1 != op(e0,e2)
| ~ spl15_96 ),
inference(backward_demodulation,[],[f130,f754]) ).
fof(f754,plain,
( e1 = op(e3,e2)
| ~ spl15_96 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f130,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4123,plain,
( ~ spl15_45
| ~ spl15_25 ),
inference(avatar_split_clause,[],[f4122,f429,f518]) ).
fof(f518,plain,
( spl15_45
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
fof(f429,plain,
( spl15_25
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f4122,plain,
( e1 != op(e1,e1)
| ~ spl15_25 ),
inference(backward_demodulation,[],[f142,f431]) ).
fof(f431,plain,
( e1 = op(e1,e0)
| ~ spl15_25 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f142,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f4116,plain,
( ~ spl15_68
| ~ spl15_35 ),
inference(avatar_split_clause,[],[f4115,f474,f623]) ).
fof(f623,plain,
( spl15_68
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).
fof(f4115,plain,
( e0 != op(e0,e2)
| ~ spl15_35 ),
inference(forward_demodulation,[],[f143,f475]) ).
fof(f143,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4112,plain,
( ~ spl15_14
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f4109,f371,f379]) ).
fof(f379,plain,
( spl15_14
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f4109,plain,
( e3 != op(e1,e1)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f169,f373]) ).
fof(f169,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f4111,plain,
( ~ spl15_12
| ~ spl15_112
| spl15_116 ),
inference(avatar_contradiction_clause,[],[f4110]) ).
fof(f4110,plain,
( $false
| ~ spl15_12
| ~ spl15_112
| spl15_116 ),
inference(subsumption_resolution,[],[f4108,f871]) ).
fof(f871,plain,
( e1 = op(e2,e3)
| ~ spl15_112 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f869,plain,
( spl15_112
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_112])]) ).
fof(f4108,plain,
( e1 != op(e2,e3)
| ~ spl15_12
| spl15_116 ),
inference(backward_demodulation,[],[f914,f373]) ).
fof(f914,plain,
( e1 != op(e2,op(e2,e1))
| spl15_116 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl15_116
<=> e1 = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_116])]) ).
fof(f4107,plain,
( ~ spl15_89
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f4106,f402,f718]) ).
fof(f718,plain,
( spl15_89
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).
fof(f402,plain,
( spl15_19
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f4106,plain,
( e2 != op(e2,e1)
| ~ spl15_19 ),
inference(forward_demodulation,[],[f167,f404]) ).
fof(f404,plain,
( e2 = op(e2,e0)
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f167,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f4103,plain,
( ~ spl15_106
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f4100,f451,f811]) ).
fof(f811,plain,
( spl15_106
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_106])]) ).
fof(f451,plain,
( spl15_30
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f4100,plain,
( e3 != op(e3,e2)
| ~ spl15_30 ),
inference(backward_demodulation,[],[f149,f453]) ).
fof(f453,plain,
( e3 = op(e3,e0)
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f149,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4097,plain,
( ~ spl15_98
| ~ spl15_35 ),
inference(avatar_split_clause,[],[f4096,f474,f761]) ).
fof(f761,plain,
( spl15_98
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).
fof(f4096,plain,
( e0 != op(e2,e1)
| ~ spl15_35 ),
inference(forward_demodulation,[],[f165,f475]) ).
fof(f165,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4095,plain,
( ~ spl15_99
| ~ spl15_35 ),
inference(avatar_split_clause,[],[f4093,f474,f769]) ).
fof(f769,plain,
( spl15_99
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).
fof(f4093,plain,
( e0 != op(e3,e2)
| ~ spl15_35 ),
inference(backward_demodulation,[],[f150,f475]) ).
fof(f150,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4080,plain,
( ~ spl15_102
| ~ spl15_82 ),
inference(avatar_split_clause,[],[f4079,f686,f786]) ).
fof(f686,plain,
( spl15_82
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).
fof(f4079,plain,
( e3 != op(e0,e2)
| ~ spl15_82 ),
inference(backward_demodulation,[],[f135,f688]) ).
fof(f688,plain,
( e3 = op(e0,e3)
| ~ spl15_82 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f135,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4076,plain,
( ~ spl15_68
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f4075,f345,f623]) ).
fof(f345,plain,
( spl15_6
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f4075,plain,
( e0 != op(e0,e2)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f163,f347]) ).
fof(f347,plain,
( e0 = op(e0,e0)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f163,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4074,plain,
( ~ spl15_73
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f4073,f345,f647]) ).
fof(f647,plain,
( spl15_73
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).
fof(f4073,plain,
( e0 != op(e0,e3)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f127,f347]) ).
fof(f127,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4071,plain,
( ~ spl15_73
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f4070,f536,f647]) ).
fof(f536,plain,
( spl15_49
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f4070,plain,
( e0 != op(e0,e3)
| ~ spl15_49 ),
inference(forward_demodulation,[],[f126,f538]) ).
fof(f538,plain,
( e0 = op(e1,e3)
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f126,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4068,plain,
( ~ spl15_72
| ~ spl15_87 ),
inference(avatar_split_clause,[],[f4067,f709,f643]) ).
fof(f643,plain,
( spl15_72
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).
fof(f709,plain,
( spl15_87
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).
fof(f4067,plain,
( e0 != op(e0,e1)
| ~ spl15_87 ),
inference(forward_demodulation,[],[f172,f711]) ).
fof(f711,plain,
( e0 = op(e3,e1)
| ~ spl15_87 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f172,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f4066,plain,
( ~ spl15_98
| ~ spl15_87 ),
inference(avatar_split_clause,[],[f4065,f709,f761]) ).
fof(f4065,plain,
( e0 != op(e2,e1)
| ~ spl15_87 ),
inference(forward_demodulation,[],[f158,f711]) ).
fof(f158,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f4064,plain,
( ~ spl15_4
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f4063,f345,f337]) ).
fof(f337,plain,
( spl15_4
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f4063,plain,
( e0 != op(e1,e0)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f140,f347]) ).
fof(f140,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f4062,plain,
( ~ spl15_99
| ~ spl15_87 ),
inference(avatar_split_clause,[],[f4061,f709,f769]) ).
fof(f4061,plain,
( e0 != op(e3,e2)
| ~ spl15_87 ),
inference(forward_demodulation,[],[f132,f711]) ).
fof(f132,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4060,plain,
( ~ spl15_48
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f4059,f536,f532]) ).
fof(f532,plain,
( spl15_48
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
fof(f4059,plain,
( e0 != op(e1,e2)
| ~ spl15_49 ),
inference(forward_demodulation,[],[f173,f538]) ).
fof(f173,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4058,plain,
( ~ spl15_4
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f4057,f536,f337]) ).
fof(f4057,plain,
( e0 != op(e1,e0)
| ~ spl15_49 ),
inference(forward_demodulation,[],[f136,f538]) ).
fof(f136,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4051,plain,
( ~ spl15_10
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f3973,f402,f362]) ).
fof(f362,plain,
( spl15_10
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f3973,plain,
( e2 != op(e1,e0)
| ~ spl15_19 ),
inference(forward_demodulation,[],[f137,f404]) ).
fof(f137,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3978,plain,
( ~ spl15_102
| ~ spl15_106 ),
inference(avatar_split_clause,[],[f3977,f811,f786]) ).
fof(f3977,plain,
( e3 != op(e0,e2)
| ~ spl15_106 ),
inference(forward_demodulation,[],[f130,f813]) ).
fof(f813,plain,
( e3 = op(e3,e2)
| ~ spl15_106 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f3969,plain,
( ~ spl15_39
| ~ spl15_112 ),
inference(avatar_contradiction_clause,[],[f3968]) ).
fof(f3968,plain,
( $false
| ~ spl15_39
| ~ spl15_112 ),
inference(subsumption_resolution,[],[f3967,f87]) ).
fof(f87,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e0 != e3
& e0 != e2
& e2 != e3
& e1 != e3
& e1 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f3967,plain,
( e1 = e3
| ~ spl15_39
| ~ spl15_112 ),
inference(forward_demodulation,[],[f494,f871]) ).
fof(f494,plain,
( e3 = op(e2,e3)
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f492,plain,
( spl15_39
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f3960,plain,
( ~ spl15_93
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3959,f743,f739]) ).
fof(f739,plain,
( spl15_93
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).
fof(f743,plain,
( spl15_94
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).
fof(f3959,plain,
( e2 != op(e0,e2)
| ~ spl15_94 ),
inference(forward_demodulation,[],[f135,f745]) ).
fof(f745,plain,
( e2 = op(e0,e3)
| ~ spl15_94 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f3955,plain,
( ~ spl15_19
| ~ spl15_83 ),
inference(avatar_contradiction_clause,[],[f3954]) ).
fof(f3954,plain,
( $false
| ~ spl15_19
| ~ spl15_83 ),
inference(subsumption_resolution,[],[f3953,f404]) ).
fof(f3953,plain,
( e2 != op(e2,e0)
| ~ spl15_83 ),
inference(forward_demodulation,[],[f164,f693]) ).
fof(f693,plain,
( e2 = op(e2,e2)
| ~ spl15_83 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl15_83
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).
fof(f164,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3952,plain,
( ~ spl15_57
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f3951,f518,f572]) ).
fof(f572,plain,
( spl15_57
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
fof(f3951,plain,
( e1 != op(e1,e3)
| ~ spl15_45 ),
inference(forward_demodulation,[],[f156,f520]) ).
fof(f520,plain,
( e1 = op(e1,e1)
| ~ spl15_45 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f156,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3948,plain,
( ~ spl15_102
| spl15_77
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3947,f743,f664,f786]) ).
fof(f664,plain,
( spl15_77
<=> e3 = op(e0,op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).
fof(f3947,plain,
( e3 != op(e0,e2)
| spl15_77
| ~ spl15_94 ),
inference(forward_demodulation,[],[f666,f745]) ).
fof(f666,plain,
( e3 != op(e0,op(e0,e3))
| spl15_77 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f3940,plain,
( ~ spl15_85
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f3939,f518,f701]) ).
fof(f701,plain,
( spl15_85
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).
fof(f3939,plain,
( e1 != op(e3,e1)
| ~ spl15_45 ),
inference(forward_demodulation,[],[f131,f520]) ).
fof(f131,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3935,plain,
( ~ spl15_84
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f3934,f518,f695]) ).
fof(f695,plain,
( spl15_84
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).
fof(f3934,plain,
( e1 != op(e1,e2)
| ~ spl15_45 ),
inference(forward_demodulation,[],[f134,f520]) ).
fof(f134,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3931,plain,
( ~ spl15_27
| ~ spl15_103
| spl15_119 ),
inference(avatar_split_clause,[],[f3930,f949,f792,f437]) ).
fof(f437,plain,
( spl15_27
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f792,plain,
( spl15_103
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).
fof(f949,plain,
( spl15_119
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_119])]) ).
fof(f3930,plain,
( op(e0,e0) != e1
| ~ spl15_103
| spl15_119 ),
inference(forward_demodulation,[],[f951,f794]) ).
fof(f794,plain,
( e0 = op(e3,e3)
| ~ spl15_103 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f951,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| spl15_119 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f3929,plain,
( ~ spl15_9
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3928,f743,f358]) ).
fof(f358,plain,
( spl15_9
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f3928,plain,
( e2 != op(e1,e3)
| ~ spl15_94 ),
inference(forward_demodulation,[],[f126,f745]) ).
fof(f3927,plain,
( ~ spl15_27
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f3926,f425,f437]) ).
fof(f425,plain,
( spl15_24
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f3926,plain,
( op(e0,e0) != e1
| ~ spl15_24 ),
inference(forward_demodulation,[],[f168,f427]) ).
fof(f427,plain,
( e1 = op(e3,e0)
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f168,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3924,plain,
( ~ spl15_101
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f3923,f518,f779]) ).
fof(f779,plain,
( spl15_101
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).
fof(f3923,plain,
( e1 != op(e2,e1)
| ~ spl15_45 ),
inference(forward_demodulation,[],[f169,f520]) ).
fof(f3920,plain,
( ~ spl15_56
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f3919,f600,f568]) ).
fof(f568,plain,
( spl15_56
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).
fof(f600,plain,
( spl15_63
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).
fof(f3919,plain,
( op(e0,e0) != e3
| ~ spl15_63 ),
inference(backward_demodulation,[],[f140,f602]) ).
fof(f602,plain,
( e3 = op(e1,e0)
| ~ spl15_63 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f3916,plain,
( ~ spl15_57
| ~ spl15_112 ),
inference(avatar_split_clause,[],[f3838,f869,f572]) ).
fof(f3838,plain,
( e1 != op(e1,e3)
| ~ spl15_112 ),
inference(forward_demodulation,[],[f170,f871]) ).
fof(f170,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3912,plain,
( ~ spl15_93
| ~ spl15_83 ),
inference(avatar_split_clause,[],[f3911,f691,f739]) ).
fof(f3911,plain,
( e2 != op(e0,e2)
| ~ spl15_83 ),
inference(forward_demodulation,[],[f143,f693]) ).
fof(f3909,plain,
( ~ spl15_89
| ~ spl15_83 ),
inference(avatar_split_clause,[],[f3904,f691,f718]) ).
fof(f3904,plain,
( e2 != op(e2,e1)
| ~ spl15_83 ),
inference(backward_demodulation,[],[f165,f693]) ).
fof(f3907,plain,
( ~ spl15_92
| ~ spl15_83 ),
inference(avatar_split_clause,[],[f3903,f691,f733]) ).
fof(f733,plain,
( spl15_92
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).
fof(f3903,plain,
( e2 != op(e3,e2)
| ~ spl15_83 ),
inference(backward_demodulation,[],[f150,f693]) ).
fof(f3901,plain,
( ~ spl15_87
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f3823,f792,f709]) ).
fof(f3823,plain,
( e0 != op(e3,e1)
| ~ spl15_103 ),
inference(forward_demodulation,[],[f161,f794]) ).
fof(f161,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3874,plain,
( ~ spl15_27
| ~ spl15_35
| spl15_50 ),
inference(avatar_contradiction_clause,[],[f3873]) ).
fof(f3873,plain,
( $false
| ~ spl15_27
| ~ spl15_35
| spl15_50 ),
inference(subsumption_resolution,[],[f3867,f439]) ).
fof(f439,plain,
( op(e0,e0) = e1
| ~ spl15_27 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f3867,plain,
( op(e0,e0) != e1
| ~ spl15_35
| spl15_50 ),
inference(backward_demodulation,[],[f543,f475]) ).
fof(f543,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| spl15_50 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f541,plain,
( spl15_50
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
fof(f3818,plain,
( ~ spl15_14
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f3817,f367,f379]) ).
fof(f367,plain,
( spl15_11
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f3817,plain,
( e3 != op(e1,e1)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f131,f369]) ).
fof(f369,plain,
( e3 = op(e3,e1)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f3815,plain,
( ~ spl15_14
| ~ spl15_27
| spl15_29 ),
inference(avatar_split_clause,[],[f3814,f446,f437,f379]) ).
fof(f446,plain,
( spl15_29
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f3814,plain,
( e3 != op(e1,e1)
| ~ spl15_27
| spl15_29 ),
inference(forward_demodulation,[],[f448,f439]) ).
fof(f448,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| spl15_29 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f3811,plain,
( ~ spl15_101
| ~ spl15_112 ),
inference(avatar_split_clause,[],[f3810,f869,f779]) ).
fof(f3810,plain,
( e1 != op(e2,e1)
| ~ spl15_112 ),
inference(forward_demodulation,[],[f144,f871]) ).
fof(f144,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3809,plain,
( ~ spl15_13
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f3806,f367,f375]) ).
fof(f375,plain,
( spl15_13
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f3806,plain,
( e3 != op(e0,e1)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f172,f369]) ).
fof(f3796,plain,
( ~ spl15_8
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f3792,f350,f354]) ).
fof(f350,plain,
( spl15_7
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f3792,plain,
( e2 != op(e1,e1)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f134,f352]) ).
fof(f352,plain,
( e2 = op(e1,e2)
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f3795,plain,
( ~ spl15_92
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f3793,f350,f733]) ).
fof(f3793,plain,
( e2 != op(e3,e2)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f147,f352]) ).
fof(f147,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3790,plain,
( ~ spl15_14
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f3789,f604,f379]) ).
fof(f604,plain,
( spl15_64
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).
fof(f3789,plain,
( e3 != op(e1,e1)
| ~ spl15_64 ),
inference(forward_demodulation,[],[f156,f606]) ).
fof(f606,plain,
( e3 = op(e1,e3)
| ~ spl15_64 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f3788,plain,
( ~ spl15_41
| ~ spl15_40 ),
inference(avatar_split_clause,[],[f3785,f496,f500]) ).
fof(f500,plain,
( spl15_41
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
fof(f496,plain,
( spl15_40
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
fof(f3785,plain,
( e3 != op(e2,e2)
| ~ spl15_40 ),
inference(backward_demodulation,[],[f164,f498]) ).
fof(f498,plain,
( e3 = op(e2,e0)
| ~ spl15_40 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f3778,plain,
( ~ spl15_88
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3776,f743,f714]) ).
fof(f714,plain,
( spl15_88
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).
fof(f3776,plain,
( e2 != op(e0,e1)
| ~ spl15_94 ),
inference(backward_demodulation,[],[f166,f745]) ).
fof(f166,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3772,plain,
( ~ spl15_13
| ~ spl15_102 ),
inference(avatar_split_clause,[],[f3731,f786,f375]) ).
fof(f3731,plain,
( e3 != op(e0,e1)
| ~ spl15_102 ),
inference(forward_demodulation,[],[f151,f788]) ).
fof(f788,plain,
( e3 = op(e0,e2)
| ~ spl15_102 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f3771,plain,
( ~ spl15_48
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f3770,f337,f532]) ).
fof(f3770,plain,
( e0 != op(e1,e2)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f146,f339]) ).
fof(f339,plain,
( e0 = op(e1,e0)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f146,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3769,plain,
( ~ spl15_82
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f3768,f604,f686]) ).
fof(f3768,plain,
( e3 != op(e0,e3)
| ~ spl15_64 ),
inference(forward_demodulation,[],[f126,f606]) ).
fof(f3765,plain,
( ~ spl15_94
| ~ spl15_103
| spl15_110 ),
inference(avatar_split_clause,[],[f3760,f855,f792,f743]) ).
fof(f855,plain,
( spl15_110
<=> e2 = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_110])]) ).
fof(f3760,plain,
( e2 != op(e0,e3)
| ~ spl15_103
| spl15_110 ),
inference(backward_demodulation,[],[f857,f794]) ).
fof(f857,plain,
( e2 != op(op(e3,e3),e3)
| spl15_110 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f3764,plain,
( ~ spl15_49
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f3761,f792,f536]) ).
fof(f3761,plain,
( e0 != op(e1,e3)
| ~ spl15_103 ),
inference(backward_demodulation,[],[f128,f794]) ).
fof(f128,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3758,plain,
( ~ spl15_70
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f3757,f406,f634]) ).
fof(f634,plain,
( spl15_70
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).
fof(f406,plain,
( spl15_20
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f3757,plain,
( e2 != op(e3,e3)
| ~ spl15_20 ),
inference(forward_demodulation,[],[f129,f408]) ).
fof(f408,plain,
( e2 = op(e3,e0)
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f129,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3745,plain,
( ~ spl15_48
| ~ spl15_84 ),
inference(avatar_contradiction_clause,[],[f3744]) ).
fof(f3744,plain,
( $false
| ~ spl15_48
| ~ spl15_84 ),
inference(subsumption_resolution,[],[f3743,f85]) ).
fof(f85,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f3743,plain,
( e0 = e1
| ~ spl15_48
| ~ spl15_84 ),
inference(forward_demodulation,[],[f696,f534]) ).
fof(f534,plain,
( e0 = op(e1,e2)
| ~ spl15_48 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f696,plain,
( e1 = op(e1,e2)
| ~ spl15_84 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f3694,plain,
( ~ spl15_72
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f3693,f647,f643]) ).
fof(f3693,plain,
( e0 != op(e0,e1)
| ~ spl15_73 ),
inference(forward_demodulation,[],[f166,f649]) ).
fof(f649,plain,
( e0 = op(e0,e3)
| ~ spl15_73 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f3663,plain,
( ~ spl15_35
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f3662,f333,f474]) ).
fof(f333,plain,
( spl15_3
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f3662,plain,
( e0 != op(e2,e2)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f164,f335]) ).
fof(f335,plain,
( e0 = op(e2,e0)
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f3658,plain,
( ~ spl15_62
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f3657,f600,f596]) ).
fof(f3657,plain,
( e3 != op(e1,e2)
| ~ spl15_63 ),
inference(forward_demodulation,[],[f146,f602]) ).
fof(f3651,plain,
( ~ spl15_12
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f3650,f492,f371]) ).
fof(f3650,plain,
( e3 != op(e2,e1)
| ~ spl15_39 ),
inference(forward_demodulation,[],[f144,f494]) ).
fof(f3649,plain,
( spl15_49
| ~ spl15_63
| ~ spl15_109 ),
inference(avatar_split_clause,[],[f3611,f843,f600,f536]) ).
fof(f843,plain,
( spl15_109
<=> e0 = op(e1,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_109])]) ).
fof(f3611,plain,
( e0 = op(e1,e3)
| ~ spl15_63
| ~ spl15_109 ),
inference(backward_demodulation,[],[f844,f602]) ).
fof(f844,plain,
( e0 = op(e1,op(e1,e0))
| ~ spl15_109 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f3646,plain,
( ~ spl15_13
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f3644,f379,f375]) ).
fof(f3644,plain,
( e3 != op(e0,e1)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f133,f381]) ).
fof(f381,plain,
( e3 = op(e1,e1)
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f133,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3640,plain,
( ~ spl15_62
| ~ spl15_106 ),
inference(avatar_split_clause,[],[f3639,f811,f596]) ).
fof(f3639,plain,
( e3 != op(e1,e2)
| ~ spl15_106 ),
inference(forward_demodulation,[],[f147,f813]) ).
fof(f3637,plain,
( ~ spl15_41
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f3636,f492,f500]) ).
fof(f3636,plain,
( e3 != op(e2,e2)
| ~ spl15_39 ),
inference(forward_demodulation,[],[f141,f494]) ).
fof(f141,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3635,plain,
( ~ spl15_64
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f3575,f492,f604]) ).
fof(f3575,plain,
( e3 != op(e1,e3)
| ~ spl15_39 ),
inference(forward_demodulation,[],[f170,f494]) ).
fof(f3633,plain,
( ~ spl15_14
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f3632,f600,f379]) ).
fof(f3632,plain,
( e3 != op(e1,e1)
| ~ spl15_63 ),
inference(forward_demodulation,[],[f142,f602]) ).
fof(f3604,plain,
( ~ spl15_83
| ~ spl15_91 ),
inference(avatar_contradiction_clause,[],[f3603]) ).
fof(f3603,plain,
( $false
| ~ spl15_83
| ~ spl15_91 ),
inference(subsumption_resolution,[],[f3602,f86]) ).
fof(f86,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f3602,plain,
( e1 = e2
| ~ spl15_83
| ~ spl15_91 ),
inference(forward_demodulation,[],[f693,f730]) ).
fof(f730,plain,
( e1 = op(e2,e2)
| ~ spl15_91 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f728,plain,
( spl15_91
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).
fof(f3589,plain,
( ~ spl15_11
| spl15_60
| ~ spl15_90 ),
inference(avatar_split_clause,[],[f3588,f724,f586,f367]) ).
fof(f586,plain,
( spl15_60
<=> e3 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).
fof(f724,plain,
( spl15_90
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).
fof(f3588,plain,
( e3 != op(e3,e1)
| spl15_60
| ~ spl15_90 ),
inference(forward_demodulation,[],[f588,f726]) ).
fof(f726,plain,
( e1 = op(e3,e3)
| ~ spl15_90 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f588,plain,
( e3 != op(e3,op(e3,e3))
| spl15_60 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f3573,plain,
( ~ spl15_85
| ~ spl15_90 ),
inference(avatar_split_clause,[],[f3509,f724,f701]) ).
fof(f3509,plain,
( e1 != op(e3,e1)
| ~ spl15_90 ),
inference(forward_demodulation,[],[f161,f726]) ).
fof(f3562,plain,
( ~ spl15_19
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f3561,f406,f402]) ).
fof(f3561,plain,
( e2 != op(e2,e0)
| ~ spl15_20 ),
inference(forward_demodulation,[],[f160,f408]) ).
fof(f160,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3559,plain,
( ~ spl15_96
| ~ spl15_90 ),
inference(avatar_split_clause,[],[f3558,f724,f752]) ).
fof(f3558,plain,
( e1 != op(e3,e2)
| ~ spl15_90 ),
inference(forward_demodulation,[],[f171,f726]) ).
fof(f171,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3554,plain,
( ~ spl15_86
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f3553,f406,f705]) ).
fof(f705,plain,
( spl15_86
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).
fof(f3553,plain,
( e2 != op(e3,e1)
| ~ spl15_20 ),
inference(forward_demodulation,[],[f157,f408]) ).
fof(f157,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3490,plain,
( ~ spl15_5
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f3489,f337,f341]) ).
fof(f341,plain,
( spl15_5
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f3489,plain,
( e0 != op(e3,e0)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f155,f339]) ).
fof(f155,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3485,plain,
( ~ spl15_5
| ~ spl15_99 ),
inference(avatar_split_clause,[],[f3484,f769,f341]) ).
fof(f3484,plain,
( e0 != op(e3,e0)
| ~ spl15_99 ),
inference(forward_demodulation,[],[f149,f771]) ).
fof(f771,plain,
( e0 = op(e3,e2)
| ~ spl15_99 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f3477,plain,
( ~ spl15_95
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f3476,f437,f748]) ).
fof(f3476,plain,
( e1 != op(e0,e2)
| ~ spl15_27 ),
inference(forward_demodulation,[],[f163,f439]) ).
fof(f3474,plain,
( ~ spl15_81
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3473,f743,f681]) ).
fof(f681,plain,
( spl15_81
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).
fof(f3473,plain,
( e2 != op(e2,e3)
| ~ spl15_94 ),
inference(forward_demodulation,[],[f153,f745]) ).
fof(f153,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3470,plain,
( ~ spl15_89
| ~ spl15_91
| spl15_116 ),
inference(avatar_contradiction_clause,[],[f3469]) ).
fof(f3469,plain,
( $false
| ~ spl15_89
| ~ spl15_91
| spl15_116 ),
inference(subsumption_resolution,[],[f3468,f730]) ).
fof(f3468,plain,
( e1 != op(e2,e2)
| ~ spl15_89
| spl15_116 ),
inference(forward_demodulation,[],[f914,f720]) ).
fof(f720,plain,
( e2 = op(e2,e1)
| ~ spl15_89 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f3466,plain,
( spl15_102
| ~ spl15_77
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3462,f743,f664,f786]) ).
fof(f3462,plain,
( e3 = op(e0,e2)
| ~ spl15_77
| ~ spl15_94 ),
inference(backward_demodulation,[],[f665,f745]) ).
fof(f665,plain,
( e3 = op(e0,op(e0,e3))
| ~ spl15_77 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f3465,plain,
( ~ spl15_70
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f3464,f743,f634]) ).
fof(f3464,plain,
( e2 != op(e3,e3)
| ~ spl15_94 ),
inference(backward_demodulation,[],[f145,f745]) ).
fof(f145,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3460,plain,
( ~ spl15_115
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f3459,f437,f898]) ).
fof(f898,plain,
( spl15_115
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_115])]) ).
fof(f3459,plain,
( e1 != op(e0,e3)
| ~ spl15_27 ),
inference(forward_demodulation,[],[f127,f439]) ).
fof(f3458,plain,
( ~ spl15_30
| ~ spl15_40 ),
inference(avatar_split_clause,[],[f3457,f496,f451]) ).
fof(f3457,plain,
( e3 != op(e3,e0)
| ~ spl15_40 ),
inference(forward_demodulation,[],[f160,f498]) ).
fof(f3452,plain,
( ~ spl15_103
| ~ spl15_99 ),
inference(avatar_split_clause,[],[f3450,f769,f792]) ).
fof(f3450,plain,
( e0 != op(e3,e3)
| ~ spl15_99 ),
inference(backward_demodulation,[],[f171,f771]) ).
fof(f3445,plain,
( ~ spl15_25
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f3442,f437,f429]) ).
fof(f3442,plain,
( e1 != op(e1,e0)
| ~ spl15_27 ),
inference(backward_demodulation,[],[f140,f439]) ).
fof(f3422,plain,
( ~ spl15_24
| spl15_37
| ~ spl15_87 ),
inference(avatar_contradiction_clause,[],[f3421]) ).
fof(f3421,plain,
( $false
| ~ spl15_24
| spl15_37
| ~ spl15_87 ),
inference(subsumption_resolution,[],[f3420,f427]) ).
fof(f3420,plain,
( e1 != op(e3,e0)
| spl15_37
| ~ spl15_87 ),
inference(backward_demodulation,[],[f485,f711]) ).
fof(f485,plain,
( e1 != op(e3,op(e3,e1))
| spl15_37 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl15_37
<=> e1 = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
fof(f3391,plain,
( ~ spl15_11
| ~ spl15_106 ),
inference(avatar_split_clause,[],[f3386,f811,f367]) ).
fof(f3386,plain,
( e3 != op(e3,e1)
| ~ spl15_106 ),
inference(backward_demodulation,[],[f132,f813]) ).
fof(f3390,plain,
( spl15_66
| ~ spl15_70
| ~ spl15_106 ),
inference(avatar_contradiction_clause,[],[f3389]) ).
fof(f3389,plain,
( $false
| spl15_66
| ~ spl15_70
| ~ spl15_106 ),
inference(subsumption_resolution,[],[f3385,f635]) ).
fof(f635,plain,
( e2 = op(e3,e3)
| ~ spl15_70 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f3385,plain,
( e2 != op(e3,e3)
| spl15_66
| ~ spl15_106 ),
inference(backward_demodulation,[],[f616,f813]) ).
fof(f616,plain,
( e2 != op(e3,op(e3,e2))
| spl15_66 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl15_66
<=> e2 = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).
fof(f3371,plain,
( ~ spl15_95
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f3308,f898,f748]) ).
fof(f3308,plain,
( e1 != op(e0,e2)
| ~ spl15_115 ),
inference(forward_demodulation,[],[f135,f900]) ).
fof(f900,plain,
( e1 = op(e0,e3)
| ~ spl15_115 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f3358,plain,
( ~ spl15_81
| ~ spl15_70 ),
inference(avatar_split_clause,[],[f3277,f634,f681]) ).
fof(f3277,plain,
( e2 != op(e2,e3)
| ~ spl15_70 ),
inference(forward_demodulation,[],[f152,f635]) ).
fof(f152,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3350,plain,
( ~ spl15_106
| spl15_60
| ~ spl15_70 ),
inference(avatar_split_clause,[],[f3349,f634,f586,f811]) ).
fof(f3349,plain,
( e3 != op(e3,e2)
| spl15_60
| ~ spl15_70 ),
inference(forward_demodulation,[],[f588,f635]) ).
fof(f3348,plain,
( ~ spl15_86
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f3347,f718,f705]) ).
fof(f3347,plain,
( e2 != op(e3,e1)
| ~ spl15_89 ),
inference(forward_demodulation,[],[f158,f720]) ).
fof(f3344,plain,
( ~ spl15_86
| ~ spl15_70 ),
inference(avatar_split_clause,[],[f3227,f634,f705]) ).
fof(f3227,plain,
( e2 != op(e3,e1)
| ~ spl15_70 ),
inference(forward_demodulation,[],[f161,f635]) ).
fof(f3340,plain,
( ~ spl15_10
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f3295,f350,f362]) ).
fof(f3295,plain,
( e2 != op(e1,e0)
| ~ spl15_7 ),
inference(forward_demodulation,[],[f146,f352]) ).
fof(f3337,plain,
( ~ spl15_97
| ~ spl15_70
| spl15_118 ),
inference(avatar_split_clause,[],[f3336,f945,f634,f757]) ).
fof(f757,plain,
( spl15_97
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).
fof(f945,plain,
( spl15_118
<=> e0 = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_118])]) ).
fof(f3336,plain,
( e0 != op(e2,e3)
| ~ spl15_70
| spl15_118 ),
inference(forward_demodulation,[],[f947,f635]) ).
fof(f947,plain,
( e0 != op(op(e3,e3),e3)
| spl15_118 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f3335,plain,
( ~ spl15_81
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f3334,f718,f681]) ).
fof(f3334,plain,
( e2 != op(e2,e3)
| ~ spl15_89 ),
inference(forward_demodulation,[],[f144,f720]) ).
fof(f3333,plain,
( ~ spl15_88
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f3332,f398,f714]) ).
fof(f398,plain,
( spl15_18
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f3332,plain,
( e2 != op(e0,e1)
| ~ spl15_18 ),
inference(forward_demodulation,[],[f159,f400]) ).
fof(f400,plain,
( op(e0,e0) = e2
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f159,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3292,plain,
( ~ spl15_93
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f3291,f398,f739]) ).
fof(f3291,plain,
( e2 != op(e0,e2)
| ~ spl15_18 ),
inference(forward_demodulation,[],[f163,f400]) ).
fof(f3234,plain,
( ~ spl15_68
| ~ spl15_72 ),
inference(avatar_split_clause,[],[f3233,f643,f623]) ).
fof(f3233,plain,
( e0 != op(e0,e2)
| ~ spl15_72 ),
inference(forward_demodulation,[],[f151,f645]) ).
fof(f645,plain,
( e0 = op(e0,e1)
| ~ spl15_72 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f3222,plain,
( ~ spl15_93
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f3221,f350,f739]) ).
fof(f3221,plain,
( e2 != op(e0,e2)
| ~ spl15_7 ),
inference(forward_demodulation,[],[f138,f352]) ).
fof(f3197,plain,
( ~ spl15_98
| ~ spl15_72 ),
inference(avatar_split_clause,[],[f3196,f643,f761]) ).
fof(f3196,plain,
( e0 != op(e2,e1)
| ~ spl15_72 ),
inference(forward_demodulation,[],[f162,f645]) ).
fof(f162,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3192,plain,
( ~ spl15_63
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f3191,f604,f600]) ).
fof(f3191,plain,
( e3 != op(e1,e0)
| ~ spl15_64 ),
inference(forward_demodulation,[],[f136,f606]) ).
fof(f3189,plain,
( ~ spl15_107
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f3188,f898,f823]) ).
fof(f3188,plain,
( e1 != op(e0,e1)
| ~ spl15_115 ),
inference(forward_demodulation,[],[f166,f900]) ).
fof(f3185,plain,
( ~ spl15_91
| ~ spl15_70
| spl15_119 ),
inference(avatar_split_clause,[],[f3184,f949,f634,f728]) ).
fof(f3184,plain,
( e1 != op(e2,e2)
| ~ spl15_70
| spl15_119 ),
inference(forward_demodulation,[],[f951,f635]) ).
fof(f3180,plain,
( ~ spl15_68
| ~ spl15_99 ),
inference(avatar_split_clause,[],[f3179,f769,f623]) ).
fof(f3179,plain,
( e0 != op(e0,e2)
| ~ spl15_99 ),
inference(backward_demodulation,[],[f130,f771]) ).
fof(f3174,plain,
( ~ spl15_90
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f3173,f898,f724]) ).
fof(f3173,plain,
( e1 != op(e3,e3)
| ~ spl15_115 ),
inference(forward_demodulation,[],[f145,f900]) ).
fof(f3170,plain,
( ~ spl15_19
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f3169,f398,f402]) ).
fof(f3169,plain,
( e2 != op(e2,e0)
| ~ spl15_18 ),
inference(forward_demodulation,[],[f154,f400]) ).
fof(f154,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3124,plain,
( ~ spl15_8
| spl15_58
| ~ spl15_84 ),
inference(avatar_contradiction_clause,[],[f3123]) ).
fof(f3123,plain,
( $false
| ~ spl15_8
| spl15_58
| ~ spl15_84 ),
inference(subsumption_resolution,[],[f3121,f356]) ).
fof(f3121,plain,
( e2 != op(e1,e1)
| spl15_58
| ~ spl15_84 ),
inference(backward_demodulation,[],[f579,f696]) ).
fof(f579,plain,
( e2 != op(e1,op(e1,e2))
| spl15_58 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl15_58
<=> e2 = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
fof(f3089,plain,
( spl15_115
| ~ spl15_13
| ~ spl15_100 ),
inference(avatar_split_clause,[],[f3088,f774,f375,f898]) ).
fof(f774,plain,
( spl15_100
<=> e1 = op(e0,op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).
fof(f3088,plain,
( e1 = op(e0,e3)
| ~ spl15_13
| ~ spl15_100 ),
inference(forward_demodulation,[],[f775,f377]) ).
fof(f377,plain,
( e3 = op(e0,e1)
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f775,plain,
( e1 = op(e0,op(e0,e1))
| ~ spl15_100 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f3086,plain,
( ~ spl15_82
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f3085,f375,f686]) ).
fof(f3085,plain,
( e3 != op(e0,e3)
| ~ spl15_13 ),
inference(forward_demodulation,[],[f166,f377]) ).
fof(f3073,plain,
( ~ spl15_56
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f3072,f375,f568]) ).
fof(f3072,plain,
( op(e0,e0) != e3
| ~ spl15_13 ),
inference(forward_demodulation,[],[f159,f377]) ).
fof(f3061,plain,
( ~ spl15_85
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f3060,f425,f701]) ).
fof(f3060,plain,
( e1 != op(e3,e1)
| ~ spl15_24 ),
inference(forward_demodulation,[],[f157,f427]) ).
fof(f3057,plain,
( ~ spl15_82
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f3056,f564,f686]) ).
fof(f564,plain,
( spl15_55
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
fof(f3056,plain,
( e3 != op(e0,e3)
| ~ spl15_55 ),
inference(forward_demodulation,[],[f145,f566]) ).
fof(f566,plain,
( e3 = op(e3,e3)
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f3054,plain,
( ~ spl15_88
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f3053,f354,f714]) ).
fof(f3053,plain,
( e2 != op(e0,e1)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f133,f356]) ).
fof(f3052,plain,
( ~ spl15_40
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f3048,f600,f496]) ).
fof(f3048,plain,
( e3 != op(e2,e0)
| ~ spl15_63 ),
inference(backward_demodulation,[],[f137,f602]) ).
fof(f3046,plain,
( ~ spl15_64
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f3045,f564,f604]) ).
fof(f3045,plain,
( e3 != op(e1,e3)
| ~ spl15_55 ),
inference(forward_demodulation,[],[f128,f566]) ).
fof(f3034,plain,
( ~ spl15_19
| ~ spl15_81 ),
inference(avatar_split_clause,[],[f3033,f681,f402]) ).
fof(f3033,plain,
( e2 != op(e2,e0)
| ~ spl15_81 ),
inference(forward_demodulation,[],[f148,f683]) ).
fof(f683,plain,
( e2 = op(e2,e3)
| ~ spl15_81 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f148,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3028,plain,
( ~ spl15_84
| ~ spl15_8
| spl15_54 ),
inference(avatar_split_clause,[],[f3027,f559,f354,f695]) ).
fof(f559,plain,
( spl15_54
<=> e1 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).
fof(f3027,plain,
( e1 != op(e1,e2)
| ~ spl15_8
| spl15_54 ),
inference(forward_demodulation,[],[f561,f356]) ).
fof(f561,plain,
( e1 != op(e1,op(e1,e1))
| spl15_54 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f3026,plain,
( ~ spl15_93
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f3025,f733,f739]) ).
fof(f3025,plain,
( e2 != op(e0,e2)
| ~ spl15_92 ),
inference(forward_demodulation,[],[f130,f735]) ).
fof(f735,plain,
( e2 = op(e3,e2)
| ~ spl15_92 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f3017,plain,
( ~ spl15_85
| ~ spl15_101 ),
inference(avatar_split_clause,[],[f3016,f779,f701]) ).
fof(f3016,plain,
( e1 != op(e3,e1)
| ~ spl15_101 ),
inference(forward_demodulation,[],[f158,f781]) ).
fof(f781,plain,
( e1 = op(e2,e1)
| ~ spl15_101 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f3004,plain,
( ~ spl15_11
| spl15_37
| ~ spl15_90 ),
inference(avatar_contradiction_clause,[],[f3003]) ).
fof(f3003,plain,
( $false
| ~ spl15_11
| spl15_37
| ~ spl15_90 ),
inference(subsumption_resolution,[],[f2640,f726]) ).
fof(f2640,plain,
( e1 != op(e3,e3)
| ~ spl15_11
| spl15_37 ),
inference(forward_demodulation,[],[f485,f369]) ).
fof(f2957,plain,
( ~ spl15_41
| spl15_50
| ~ spl15_90 ),
inference(avatar_contradiction_clause,[],[f2956]) ).
fof(f2956,plain,
( $false
| ~ spl15_41
| spl15_50
| ~ spl15_90 ),
inference(subsumption_resolution,[],[f2161,f726]) ).
fof(f2161,plain,
( e1 != op(e3,e3)
| ~ spl15_41
| spl15_50 ),
inference(forward_demodulation,[],[f543,f502]) ).
fof(f502,plain,
( e3 = op(e2,e2)
| ~ spl15_41 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f2945,plain,
( spl15_26
| ~ spl15_98
| ~ spl15_116 ),
inference(avatar_split_clause,[],[f2944,f912,f761,f433]) ).
fof(f433,plain,
( spl15_26
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f2944,plain,
( e1 = op(e2,e0)
| ~ spl15_98
| ~ spl15_116 ),
inference(forward_demodulation,[],[f913,f763]) ).
fof(f763,plain,
( e0 = op(e2,e1)
| ~ spl15_98 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f913,plain,
( e1 = op(e2,op(e2,e1))
| ~ spl15_116 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f2942,plain,
( ~ spl15_4
| ~ spl15_10 ),
inference(avatar_contradiction_clause,[],[f2941]) ).
fof(f2941,plain,
( $false
| ~ spl15_4
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f2940,f89]) ).
fof(f89,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f2940,plain,
( e0 = e2
| ~ spl15_4
| ~ spl15_10 ),
inference(forward_demodulation,[],[f339,f364]) ).
fof(f364,plain,
( e2 = op(e1,e0)
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f2931,plain,
( ~ spl15_62
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f2930,f604,f596]) ).
fof(f2930,plain,
( e3 != op(e1,e2)
| ~ spl15_64 ),
inference(forward_demodulation,[],[f173,f606]) ).
fof(f2929,plain,
( ~ spl15_24
| ~ spl15_90 ),
inference(avatar_contradiction_clause,[],[f2928]) ).
fof(f2928,plain,
( $false
| ~ spl15_24
| ~ spl15_90 ),
inference(subsumption_resolution,[],[f2870,f726]) ).
fof(f2870,plain,
( e1 != op(e3,e3)
| ~ spl15_24 ),
inference(backward_demodulation,[],[f129,f427]) ).
fof(f2920,plain,
( ~ spl15_3
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f2919,f761,f333]) ).
fof(f2919,plain,
( e0 != op(e2,e0)
| ~ spl15_98 ),
inference(forward_demodulation,[],[f167,f763]) ).
fof(f2918,plain,
( ~ spl15_112
| ~ spl15_90 ),
inference(avatar_split_clause,[],[f2917,f724,f869]) ).
fof(f2917,plain,
( e1 != op(e2,e3)
| ~ spl15_90 ),
inference(forward_demodulation,[],[f152,f726]) ).
fof(f2911,plain,
( ~ spl15_26
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f2910,f425,f433]) ).
fof(f2910,plain,
( e1 != op(e2,e0)
| ~ spl15_24 ),
inference(forward_demodulation,[],[f160,f427]) ).
fof(f2903,plain,
( ~ spl15_97
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f2902,f761,f757]) ).
fof(f2902,plain,
( e0 != op(e2,e3)
| ~ spl15_98 ),
inference(forward_demodulation,[],[f144,f763]) ).
fof(f2878,plain,
( ~ spl15_77
| ~ spl15_94
| ~ spl15_95 ),
inference(avatar_contradiction_clause,[],[f2877]) ).
fof(f2877,plain,
( $false
| ~ spl15_77
| ~ spl15_94
| ~ spl15_95 ),
inference(subsumption_resolution,[],[f2876,f87]) ).
fof(f2876,plain,
( e1 = e3
| ~ spl15_77
| ~ spl15_94
| ~ spl15_95 ),
inference(forward_demodulation,[],[f2875,f750]) ).
fof(f750,plain,
( e1 = op(e0,e2)
| ~ spl15_95 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f2875,plain,
( e3 = op(e0,e2)
| ~ spl15_77
| ~ spl15_94 ),
inference(forward_demodulation,[],[f665,f745]) ).
fof(f2850,plain,
( spl15_66
| ~ spl15_92 ),
inference(avatar_contradiction_clause,[],[f2849]) ).
fof(f2849,plain,
( $false
| spl15_66
| ~ spl15_92 ),
inference(subsumption_resolution,[],[f2848,f735]) ).
fof(f2848,plain,
( e2 != op(e3,e2)
| spl15_66
| ~ spl15_92 ),
inference(backward_demodulation,[],[f616,f735]) ).
fof(f2841,plain,
( ~ spl15_20
| spl15_33
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f2840,f568,f465,f406]) ).
fof(f465,plain,
( spl15_33
<=> e2 = op(op(e0,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f2840,plain,
( e2 != op(e3,e0)
| spl15_33
| ~ spl15_56 ),
inference(forward_demodulation,[],[f467,f570]) ).
fof(f570,plain,
( op(e0,e0) = e3
| ~ spl15_56 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f467,plain,
( e2 != op(op(e0,e0),e0)
| spl15_33 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f2826,plain,
( ~ spl15_1
| ~ spl15_72
| ~ spl15_95 ),
inference(avatar_contradiction_clause,[],[f2825]) ).
fof(f2825,plain,
( $false
| ~ spl15_1
| ~ spl15_72
| ~ spl15_95 ),
inference(subsumption_resolution,[],[f2824,f89]) ).
fof(f2824,plain,
( e0 = e2
| ~ spl15_1
| ~ spl15_72
| ~ spl15_95 ),
inference(forward_demodulation,[],[f2823,f645]) ).
fof(f2823,plain,
( e2 = op(e0,e1)
| ~ spl15_1
| ~ spl15_95 ),
inference(forward_demodulation,[],[f325,f750]) ).
fof(f325,plain,
( e2 = op(e0,op(e0,e2))
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl15_1
<=> e2 = op(e0,op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f2810,plain,
( ~ spl15_102
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f2809,f568,f786]) ).
fof(f2809,plain,
( e3 != op(e0,e2)
| ~ spl15_56 ),
inference(forward_demodulation,[],[f163,f570]) ).
fof(f2776,plain,
( ~ spl15_5
| spl15_52 ),
inference(avatar_contradiction_clause,[],[f2775]) ).
fof(f2775,plain,
( $false
| ~ spl15_5
| spl15_52 ),
inference(subsumption_resolution,[],[f2774,f343]) ).
fof(f343,plain,
( e0 = op(e3,e0)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f2774,plain,
( e0 != op(e3,e0)
| ~ spl15_5
| spl15_52 ),
inference(forward_demodulation,[],[f552,f343]) ).
fof(f552,plain,
( e0 != op(e3,op(e3,e0))
| spl15_52 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl15_52
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
fof(f2739,plain,
( ~ spl15_72
| ~ spl15_77
| ~ spl15_115 ),
inference(avatar_contradiction_clause,[],[f2738]) ).
fof(f2738,plain,
( $false
| ~ spl15_72
| ~ spl15_77
| ~ spl15_115 ),
inference(subsumption_resolution,[],[f2737,f90]) ).
fof(f90,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f2737,plain,
( e0 = e3
| ~ spl15_72
| ~ spl15_77
| ~ spl15_115 ),
inference(forward_demodulation,[],[f2736,f645]) ).
fof(f2736,plain,
( e3 = op(e0,e1)
| ~ spl15_77
| ~ spl15_115 ),
inference(forward_demodulation,[],[f665,f900]) ).
fof(f2720,plain,
( ~ spl15_27
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f2719,f433,f437]) ).
fof(f2719,plain,
( op(e0,e0) != e1
| ~ spl15_26 ),
inference(forward_demodulation,[],[f154,f435]) ).
fof(f435,plain,
( e1 = op(e2,e0)
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f2692,plain,
( ~ spl15_88
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f2691,f718,f714]) ).
fof(f2691,plain,
( e2 != op(e0,e1)
| ~ spl15_89 ),
inference(backward_demodulation,[],[f162,f720]) ).
fof(f2687,plain,
( ~ spl15_18
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f2561,f362,f398]) ).
fof(f2561,plain,
( op(e0,e0) != e2
| ~ spl15_10 ),
inference(forward_demodulation,[],[f140,f364]) ).
fof(f2686,plain,
( ~ spl15_12
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f2638,f367,f371]) ).
fof(f2638,plain,
( e3 != op(e2,e1)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f158,f369]) ).
fof(f2673,plain,
( ~ spl15_9
| ~ spl15_70 ),
inference(avatar_split_clause,[],[f2672,f634,f358]) ).
fof(f2672,plain,
( e2 != op(e1,e3)
| ~ spl15_70 ),
inference(forward_demodulation,[],[f128,f635]) ).
fof(f2645,plain,
( ~ spl15_11
| ~ spl15_87 ),
inference(avatar_contradiction_clause,[],[f2644]) ).
fof(f2644,plain,
( $false
| ~ spl15_11
| ~ spl15_87 ),
inference(subsumption_resolution,[],[f2643,f90]) ).
fof(f2643,plain,
( e0 = e3
| ~ spl15_11
| ~ spl15_87 ),
inference(forward_demodulation,[],[f711,f369]) ).
fof(f2642,plain,
( ~ spl15_27
| ~ spl15_107 ),
inference(avatar_contradiction_clause,[],[f2641]) ).
fof(f2641,plain,
( $false
| ~ spl15_27
| ~ spl15_107 ),
inference(subsumption_resolution,[],[f2442,f825]) ).
fof(f2442,plain,
( e1 != op(e0,e1)
| ~ spl15_27 ),
inference(forward_demodulation,[],[f159,f439]) ).
fof(f2634,plain,
( ~ spl15_89
| ~ spl15_101 ),
inference(avatar_contradiction_clause,[],[f2633]) ).
fof(f2633,plain,
( $false
| ~ spl15_89
| ~ spl15_101 ),
inference(subsumption_resolution,[],[f2632,f86]) ).
fof(f2632,plain,
( e1 = e2
| ~ spl15_89
| ~ spl15_101 ),
inference(forward_demodulation,[],[f720,f781]) ).
fof(f2621,plain,
( ~ spl15_70
| ~ spl15_14
| spl15_61 ),
inference(avatar_split_clause,[],[f2501,f591,f379,f634]) ).
fof(f591,plain,
( spl15_61
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).
fof(f2501,plain,
( e2 != op(e3,e3)
| ~ spl15_14
| spl15_61 ),
inference(backward_demodulation,[],[f593,f381]) ).
fof(f593,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| spl15_61 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f2615,plain,
( ~ spl15_55
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f2614,f367,f564]) ).
fof(f2614,plain,
( e3 != op(e3,e3)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f161,f369]) ).
fof(f2609,plain,
( ~ spl15_27
| ~ spl15_73
| ~ spl15_77 ),
inference(avatar_contradiction_clause,[],[f2608]) ).
fof(f2608,plain,
( $false
| ~ spl15_27
| ~ spl15_73
| ~ spl15_77 ),
inference(subsumption_resolution,[],[f2607,f87]) ).
fof(f2607,plain,
( e1 = e3
| ~ spl15_27
| ~ spl15_73
| ~ spl15_77 ),
inference(forward_demodulation,[],[f2606,f439]) ).
fof(f2606,plain,
( op(e0,e0) = e3
| ~ spl15_73
| ~ spl15_77 ),
inference(forward_demodulation,[],[f665,f649]) ).
fof(f2603,plain,
( ~ spl15_103
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f2601,f647,f792]) ).
fof(f2601,plain,
( e0 != op(e3,e3)
| ~ spl15_73 ),
inference(backward_demodulation,[],[f145,f649]) ).
fof(f2600,plain,
( ~ spl15_24
| ~ spl15_96 ),
inference(avatar_split_clause,[],[f2599,f752,f425]) ).
fof(f2599,plain,
( e1 != op(e3,e0)
| ~ spl15_96 ),
inference(forward_demodulation,[],[f149,f754]) ).
fof(f2591,plain,
( ~ spl15_5
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f2590,f333,f341]) ).
fof(f2590,plain,
( e0 != op(e3,e0)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f160,f335]) ).
fof(f2585,plain,
( ~ spl15_27
| ~ spl15_56 ),
inference(avatar_contradiction_clause,[],[f2584]) ).
fof(f2584,plain,
( $false
| ~ spl15_27
| ~ spl15_56 ),
inference(subsumption_resolution,[],[f2583,f87]) ).
fof(f2583,plain,
( e1 = e3
| ~ spl15_27
| ~ spl15_56 ),
inference(forward_demodulation,[],[f570,f439]) ).
fof(f2582,plain,
( ~ spl15_103
| ~ spl15_14
| spl15_15 ),
inference(avatar_split_clause,[],[f2497,f384,f379,f792]) ).
fof(f2497,plain,
( e0 != op(e3,e3)
| ~ spl15_14
| spl15_15 ),
inference(backward_demodulation,[],[f386,f381]) ).
fof(f2580,plain,
( ~ spl15_57
| ~ spl15_64 ),
inference(avatar_contradiction_clause,[],[f2579]) ).
fof(f2579,plain,
( $false
| ~ spl15_57
| ~ spl15_64 ),
inference(subsumption_resolution,[],[f2578,f87]) ).
fof(f2578,plain,
( e1 = e3
| ~ spl15_57
| ~ spl15_64 ),
inference(forward_demodulation,[],[f606,f573]) ).
fof(f573,plain,
( e1 = op(e1,e3)
| ~ spl15_57 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f2573,plain,
( ~ spl15_30
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f2572,f367,f451]) ).
fof(f2572,plain,
( e3 != op(e3,e0)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f157,f369]) ).
fof(f2569,plain,
( ~ spl15_85
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f2568,f823,f701]) ).
fof(f2568,plain,
( e1 != op(e3,e1)
| ~ spl15_107 ),
inference(forward_demodulation,[],[f172,f825]) ).
fof(f2566,plain,
( ~ spl15_107
| ~ spl15_101 ),
inference(avatar_split_clause,[],[f2470,f779,f823]) ).
fof(f2470,plain,
( e1 != op(e0,e1)
| ~ spl15_101 ),
inference(forward_demodulation,[],[f162,f781]) ).
fof(f2565,plain,
( ~ spl15_103
| ~ spl15_41
| spl15_111 ),
inference(avatar_split_clause,[],[f2067,f861,f500,f792]) ).
fof(f861,plain,
( spl15_111
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_111])]) ).
fof(f2067,plain,
( e0 != op(e3,e3)
| ~ spl15_41
| spl15_111 ),
inference(backward_demodulation,[],[f863,f502]) ).
fof(f863,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| spl15_111 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f2560,plain,
( ~ spl15_3
| spl15_31 ),
inference(avatar_contradiction_clause,[],[f2559]) ).
fof(f2559,plain,
( $false
| ~ spl15_3
| spl15_31 ),
inference(subsumption_resolution,[],[f2558,f335]) ).
fof(f2558,plain,
( e0 != op(e2,e0)
| ~ spl15_3
| spl15_31 ),
inference(forward_demodulation,[],[f458,f335]) ).
fof(f458,plain,
( e0 != op(e2,op(e2,e0))
| spl15_31 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f456,plain,
( spl15_31
<=> e0 = op(e2,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f2555,plain,
( ~ spl15_14
| spl15_22
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f2554]) ).
fof(f2554,plain,
( $false
| ~ spl15_14
| spl15_22
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f2553,f381]) ).
fof(f2553,plain,
( e3 != op(e1,e1)
| spl15_22
| ~ spl15_57 ),
inference(forward_demodulation,[],[f417,f573]) ).
fof(f417,plain,
( e3 != op(e1,op(e1,e3))
| spl15_22 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f415,plain,
( spl15_22
<=> e3 = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f2538,plain,
( ~ spl15_27
| ~ spl15_72
| spl15_100 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
fof(f2537,plain,
( $false
| ~ spl15_27
| ~ spl15_72
| spl15_100 ),
inference(subsumption_resolution,[],[f2533,f439]) ).
fof(f2533,plain,
( op(e0,e0) != e1
| ~ spl15_72
| spl15_100 ),
inference(backward_demodulation,[],[f776,f645]) ).
fof(f776,plain,
( e1 != op(e0,op(e0,e1))
| spl15_100 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f2518,plain,
( ~ spl15_97
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f2515,f333,f757]) ).
fof(f2515,plain,
( e0 != op(e2,e3)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f148,f335]) ).
fof(f2506,plain,
( ~ spl15_14
| spl15_43
| ~ spl15_86 ),
inference(avatar_contradiction_clause,[],[f2505]) ).
fof(f2505,plain,
( $false
| ~ spl15_14
| spl15_43
| ~ spl15_86 ),
inference(subsumption_resolution,[],[f2498,f707]) ).
fof(f707,plain,
( e2 = op(e3,e1)
| ~ spl15_86 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f2498,plain,
( e2 != op(e3,e1)
| ~ spl15_14
| spl15_43 ),
inference(backward_demodulation,[],[f511,f381]) ).
fof(f511,plain,
( e2 != op(op(e1,e1),e1)
| spl15_43 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl15_43
<=> e2 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
fof(f2493,plain,
( ~ spl15_41
| ~ spl15_96
| ~ spl15_117 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2492,plain,
( $false
| ~ spl15_41
| ~ spl15_96
| ~ spl15_117 ),
inference(subsumption_resolution,[],[f2491,f85]) ).
fof(f2491,plain,
( e0 = e1
| ~ spl15_41
| ~ spl15_96
| ~ spl15_117 ),
inference(forward_demodulation,[],[f2217,f754]) ).
fof(f2217,plain,
( e0 = op(e3,e2)
| ~ spl15_41
| ~ spl15_117 ),
inference(forward_demodulation,[],[f919,f502]) ).
fof(f919,plain,
( e0 = op(op(e2,e2),e2)
| ~ spl15_117 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f918,plain,
( spl15_117
<=> e0 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_117])]) ).
fof(f2488,plain,
( ~ spl15_30
| spl15_60
| ~ spl15_103 ),
inference(avatar_contradiction_clause,[],[f2487]) ).
fof(f2487,plain,
( $false
| ~ spl15_30
| spl15_60
| ~ spl15_103 ),
inference(subsumption_resolution,[],[f2486,f453]) ).
fof(f2486,plain,
( e3 != op(e3,e0)
| spl15_60
| ~ spl15_103 ),
inference(forward_demodulation,[],[f588,f794]) ).
fof(f2483,plain,
( ~ spl15_97
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f2478,f792,f757]) ).
fof(f2478,plain,
( e0 != op(e2,e3)
| ~ spl15_103 ),
inference(backward_demodulation,[],[f152,f794]) ).
fof(f2459,plain,
( ~ spl15_12
| ~ spl15_41 ),
inference(avatar_split_clause,[],[f2458,f500,f371]) ).
fof(f2458,plain,
( e3 != op(e2,e1)
| ~ spl15_41 ),
inference(forward_demodulation,[],[f165,f502]) ).
fof(f2455,plain,
( spl15_66
| ~ spl15_86
| ~ spl15_96 ),
inference(avatar_contradiction_clause,[],[f2454]) ).
fof(f2454,plain,
( $false
| spl15_66
| ~ spl15_86
| ~ spl15_96 ),
inference(subsumption_resolution,[],[f2451,f707]) ).
fof(f2451,plain,
( e2 != op(e3,e1)
| spl15_66
| ~ spl15_96 ),
inference(backward_demodulation,[],[f616,f754]) ).
fof(f2449,plain,
( ~ spl15_68
| ~ spl15_48 ),
inference(avatar_split_clause,[],[f2448,f532,f623]) ).
fof(f2448,plain,
( e0 != op(e0,e2)
| ~ spl15_48 ),
inference(forward_demodulation,[],[f138,f534]) ).
fof(f2444,plain,
( ~ spl15_10
| ~ spl15_27
| spl15_33 ),
inference(avatar_contradiction_clause,[],[f2443]) ).
fof(f2443,plain,
( $false
| ~ spl15_10
| ~ spl15_27
| spl15_33 ),
inference(subsumption_resolution,[],[f2406,f364]) ).
fof(f2406,plain,
( e2 != op(e1,e0)
| ~ spl15_27
| spl15_33 ),
inference(forward_demodulation,[],[f467,f439]) ).
fof(f2427,plain,
( ~ spl15_55
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f2426,f451,f564]) ).
fof(f2426,plain,
( e3 != op(e3,e3)
| ~ spl15_30 ),
inference(forward_demodulation,[],[f129,f453]) ).
fof(f2419,plain,
( ~ spl15_42
| ~ spl15_48 ),
inference(avatar_split_clause,[],[f2418,f532,f505]) ).
fof(f505,plain,
( spl15_42
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
fof(f2418,plain,
( e0 != op(e1,e1)
| ~ spl15_48 ),
inference(forward_demodulation,[],[f134,f534]) ).
fof(f2417,plain,
( ~ spl15_81
| ~ spl15_41
| spl15_104 ),
inference(avatar_split_clause,[],[f2265,f801,f500,f681]) ).
fof(f801,plain,
( spl15_104
<=> e2 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_104])]) ).
fof(f2265,plain,
( e2 != op(e2,e3)
| ~ spl15_41
| spl15_104 ),
inference(forward_demodulation,[],[f803,f502]) ).
fof(f803,plain,
( e2 != op(e2,op(e2,e2))
| spl15_104 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f2414,plain,
( ~ spl15_63
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f2413,f451,f600]) ).
fof(f2413,plain,
( e3 != op(e1,e0)
| ~ spl15_30 ),
inference(forward_demodulation,[],[f155,f453]) ).
fof(f2405,plain,
( ~ spl15_68
| ~ spl15_93 ),
inference(avatar_contradiction_clause,[],[f2404]) ).
fof(f2404,plain,
( $false
| ~ spl15_68
| ~ spl15_93 ),
inference(subsumption_resolution,[],[f2403,f89]) ).
fof(f2403,plain,
( e0 = e2
| ~ spl15_68
| ~ spl15_93 ),
inference(forward_demodulation,[],[f741,f625]) ).
fof(f625,plain,
( e0 = op(e0,e2)
| ~ spl15_68 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f741,plain,
( e2 = op(e0,e2)
| ~ spl15_93 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f2400,plain,
( ~ spl15_4
| spl15_109 ),
inference(avatar_contradiction_clause,[],[f2399]) ).
fof(f2399,plain,
( $false
| ~ spl15_4
| spl15_109 ),
inference(subsumption_resolution,[],[f2398,f339]) ).
fof(f2398,plain,
( e0 != op(e1,e0)
| ~ spl15_4
| spl15_109 ),
inference(forward_demodulation,[],[f845,f339]) ).
fof(f845,plain,
( e0 != op(e1,op(e1,e0))
| spl15_109 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f2376,plain,
( ~ spl15_70
| ~ spl15_90 ),
inference(avatar_contradiction_clause,[],[f2375]) ).
fof(f2375,plain,
( $false
| ~ spl15_70
| ~ spl15_90 ),
inference(subsumption_resolution,[],[f2374,f86]) ).
fof(f2374,plain,
( e1 = e2
| ~ spl15_70
| ~ spl15_90 ),
inference(forward_demodulation,[],[f726,f635]) ).
fof(f2352,plain,
( ~ spl15_70
| ~ spl15_103 ),
inference(avatar_contradiction_clause,[],[f2351]) ).
fof(f2351,plain,
( $false
| ~ spl15_70
| ~ spl15_103 ),
inference(subsumption_resolution,[],[f2350,f89]) ).
fof(f2350,plain,
( e0 = e2
| ~ spl15_70
| ~ spl15_103 ),
inference(forward_demodulation,[],[f794,f635]) ).
fof(f2313,plain,
( spl15_22
| ~ spl15_64 ),
inference(avatar_contradiction_clause,[],[f2312]) ).
fof(f2312,plain,
( $false
| spl15_22
| ~ spl15_64 ),
inference(subsumption_resolution,[],[f2310,f606]) ).
fof(f2310,plain,
( e3 != op(e1,e3)
| spl15_22
| ~ spl15_64 ),
inference(backward_demodulation,[],[f417,f606]) ).
fof(f2294,plain,
( ~ spl15_41
| ~ spl15_91 ),
inference(avatar_contradiction_clause,[],[f2293]) ).
fof(f2293,plain,
( $false
| ~ spl15_41
| ~ spl15_91 ),
inference(subsumption_resolution,[],[f2292,f87]) ).
fof(f2292,plain,
( e1 = e3
| ~ spl15_41
| ~ spl15_91 ),
inference(forward_demodulation,[],[f730,f502]) ).
fof(f2285,plain,
( ~ spl15_7
| spl15_58 ),
inference(avatar_contradiction_clause,[],[f2284]) ).
fof(f2284,plain,
( $false
| ~ spl15_7
| spl15_58 ),
inference(subsumption_resolution,[],[f2282,f352]) ).
fof(f2282,plain,
( e2 != op(e1,e2)
| ~ spl15_7
| spl15_58 ),
inference(backward_demodulation,[],[f579,f352]) ).
fof(f2267,plain,
( ~ spl15_48
| ~ spl15_99 ),
inference(avatar_split_clause,[],[f2221,f769,f532]) ).
fof(f2221,plain,
( e0 != op(e1,e2)
| ~ spl15_99 ),
inference(forward_demodulation,[],[f147,f771]) ).
fof(f2196,plain,
( ~ spl15_7
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f2194,f358,f350]) ).
fof(f2194,plain,
( e2 != op(e1,e2)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f173,f360]) ).
fof(f360,plain,
( e2 = op(e1,e3)
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f2181,plain,
( ~ spl15_45
| spl15_54 ),
inference(avatar_contradiction_clause,[],[f2180]) ).
fof(f2180,plain,
( $false
| ~ spl15_45
| spl15_54 ),
inference(subsumption_resolution,[],[f2171,f520]) ).
fof(f2171,plain,
( e1 != op(e1,e1)
| ~ spl15_45
| spl15_54 ),
inference(backward_demodulation,[],[f561,f520]) ).
fof(f2169,plain,
( ~ spl15_41
| ~ spl15_83 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2168,plain,
( $false
| ~ spl15_41
| ~ spl15_83 ),
inference(subsumption_resolution,[],[f2167,f88]) ).
fof(f88,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f2167,plain,
( e2 = e3
| ~ spl15_41
| ~ spl15_83 ),
inference(forward_demodulation,[],[f693,f502]) ).
fof(f2158,plain,
( ~ spl15_20
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f2157,f398,f406]) ).
fof(f2157,plain,
( e2 != op(e3,e0)
| ~ spl15_18 ),
inference(forward_demodulation,[],[f168,f400]) ).
fof(f2149,plain,
( ~ spl15_84
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f2148,f748,f695]) ).
fof(f2148,plain,
( e1 != op(e1,e2)
| ~ spl15_95 ),
inference(forward_demodulation,[],[f138,f750]) ).
fof(f2139,plain,
( ~ spl15_26
| ~ spl15_40 ),
inference(avatar_contradiction_clause,[],[f2138]) ).
fof(f2138,plain,
( $false
| ~ spl15_26
| ~ spl15_40 ),
inference(subsumption_resolution,[],[f2137,f87]) ).
fof(f2137,plain,
( e1 = e3
| ~ spl15_26
| ~ spl15_40 ),
inference(forward_demodulation,[],[f435,f498]) ).
fof(f2134,plain,
( ~ spl15_8
| ~ spl15_41
| spl15_44 ),
inference(avatar_contradiction_clause,[],[f2133]) ).
fof(f2133,plain,
( $false
| ~ spl15_8
| ~ spl15_41
| spl15_44 ),
inference(subsumption_resolution,[],[f2132,f502]) ).
fof(f2132,plain,
( e3 != op(e2,e2)
| ~ spl15_8
| spl15_44 ),
inference(forward_demodulation,[],[f515,f356]) ).
fof(f515,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| spl15_44 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl15_44
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
fof(f2115,plain,
( ~ spl15_41
| ~ spl15_62 ),
inference(avatar_contradiction_clause,[],[f2114]) ).
fof(f2114,plain,
( $false
| ~ spl15_41
| ~ spl15_62 ),
inference(subsumption_resolution,[],[f2113,f598]) ).
fof(f2113,plain,
( e3 != op(e1,e2)
| ~ spl15_41 ),
inference(forward_demodulation,[],[f139,f502]) ).
fof(f139,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2050,plain,
( ~ spl15_48
| ~ spl15_62 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2049,plain,
( $false
| ~ spl15_48
| ~ spl15_62 ),
inference(subsumption_resolution,[],[f2048,f90]) ).
fof(f2048,plain,
( e0 = e3
| ~ spl15_48
| ~ spl15_62 ),
inference(forward_demodulation,[],[f534,f598]) ).
fof(f2047,plain,
( ~ spl15_41
| ~ spl15_81
| spl15_114 ),
inference(avatar_split_clause,[],[f2046,f879,f681,f500]) ).
fof(f879,plain,
( spl15_114
<=> e3 = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_114])]) ).
fof(f2046,plain,
( e3 != op(e2,e2)
| ~ spl15_81
| spl15_114 ),
inference(forward_demodulation,[],[f881,f683]) ).
fof(f881,plain,
( e3 != op(e2,op(e2,e3))
| spl15_114 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f2035,plain,
( ~ spl15_8
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f2031,f362,f354]) ).
fof(f2031,plain,
( e2 != op(e1,e1)
| ~ spl15_10 ),
inference(backward_demodulation,[],[f142,f364]) ).
fof(f2015,plain,
( spl15_9
| ~ spl15_58
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f1780,f596,f577,f358]) ).
fof(f1780,plain,
( e2 = op(e1,e3)
| ~ spl15_58
| ~ spl15_62 ),
inference(forward_demodulation,[],[f578,f598]) ).
fof(f578,plain,
( e2 = op(e1,op(e1,e2))
| ~ spl15_58 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f2008,plain,
( ~ spl15_92
| ~ spl15_96 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2007,plain,
( $false
| ~ spl15_92
| ~ spl15_96 ),
inference(subsumption_resolution,[],[f2006,f86]) ).
fof(f2006,plain,
( e1 = e2
| ~ spl15_92
| ~ spl15_96 ),
inference(forward_demodulation,[],[f754,f735]) ).
fof(f1981,plain,
( spl15_112
| ~ spl15_12
| ~ spl15_116 ),
inference(avatar_split_clause,[],[f1980,f912,f371,f869]) ).
fof(f1980,plain,
( e1 = op(e2,e3)
| ~ spl15_12
| ~ spl15_116 ),
inference(forward_demodulation,[],[f913,f373]) ).
fof(f1970,plain,
( ~ spl15_25
| ~ spl15_63 ),
inference(avatar_contradiction_clause,[],[f1969]) ).
fof(f1969,plain,
( $false
| ~ spl15_25
| ~ spl15_63 ),
inference(subsumption_resolution,[],[f1968,f87]) ).
fof(f1968,plain,
( e1 = e3
| ~ spl15_25
| ~ spl15_63 ),
inference(forward_demodulation,[],[f602,f431]) ).
fof(f1944,plain,
( ~ spl15_81
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f1943,f358,f681]) ).
fof(f1943,plain,
( e2 != op(e2,e3)
| ~ spl15_9 ),
inference(forward_demodulation,[],[f170,f360]) ).
fof(f1929,plain,
( spl15_100
| ~ spl15_107 ),
inference(avatar_contradiction_clause,[],[f1928]) ).
fof(f1928,plain,
( $false
| spl15_100
| ~ spl15_107 ),
inference(subsumption_resolution,[],[f1925,f825]) ).
fof(f1925,plain,
( e1 != op(e0,e1)
| spl15_100
| ~ spl15_107 ),
inference(backward_demodulation,[],[f776,f825]) ).
fof(f1915,plain,
( ~ spl15_102
| ~ spl15_35
| spl15_51 ),
inference(avatar_split_clause,[],[f1800,f545,f474,f786]) ).
fof(f545,plain,
( spl15_51
<=> e3 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
fof(f1800,plain,
( e3 != op(e0,e2)
| ~ spl15_35
| spl15_51 ),
inference(forward_demodulation,[],[f547,f475]) ).
fof(f547,plain,
( e3 != op(op(e2,e2),e2)
| spl15_51 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f1896,plain,
( spl15_1
| ~ spl15_88
| ~ spl15_95 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1895,plain,
( $false
| spl15_1
| ~ spl15_88
| ~ spl15_95 ),
inference(subsumption_resolution,[],[f1894,f716]) ).
fof(f716,plain,
( e2 = op(e0,e1)
| ~ spl15_88 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f1894,plain,
( e2 != op(e0,e1)
| spl15_1
| ~ spl15_95 ),
inference(forward_demodulation,[],[f326,f750]) ).
fof(f326,plain,
( e2 != op(e0,op(e0,e2))
| spl15_1 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f1893,plain,
( ~ spl15_56
| ~ spl15_73
| spl15_77 ),
inference(avatar_contradiction_clause,[],[f1892]) ).
fof(f1892,plain,
( $false
| ~ spl15_56
| ~ spl15_73
| spl15_77 ),
inference(subsumption_resolution,[],[f1888,f570]) ).
fof(f1888,plain,
( op(e0,e0) != e3
| ~ spl15_73
| spl15_77 ),
inference(backward_demodulation,[],[f666,f649]) ).
fof(f1884,plain,
( ~ spl15_88
| ~ spl15_95
| spl15_100 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1883,plain,
( $false
| ~ spl15_88
| ~ spl15_95
| spl15_100 ),
inference(subsumption_resolution,[],[f1879,f750]) ).
fof(f1879,plain,
( e1 != op(e0,e2)
| ~ spl15_88
| spl15_100 ),
inference(backward_demodulation,[],[f776,f716]) ).
fof(f1876,plain,
( ~ spl15_56
| ~ spl15_90
| spl15_105 ),
inference(avatar_contradiction_clause,[],[f1875]) ).
fof(f1875,plain,
( $false
| ~ spl15_56
| ~ spl15_90
| spl15_105 ),
inference(subsumption_resolution,[],[f1874,f726]) ).
fof(f1874,plain,
( e1 != op(e3,e3)
| ~ spl15_56
| spl15_105 ),
inference(forward_demodulation,[],[f808,f570]) ).
fof(f808,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| spl15_105 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f806,plain,
( spl15_105
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_105])]) ).
fof(f1860,plain,
( ~ spl15_19
| spl15_31
| ~ spl15_35 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1859,plain,
( $false
| ~ spl15_19
| spl15_31
| ~ spl15_35 ),
inference(subsumption_resolution,[],[f1856,f475]) ).
fof(f1856,plain,
( e0 != op(e2,e2)
| ~ spl15_19
| spl15_31 ),
inference(backward_demodulation,[],[f458,f404]) ).
fof(f1827,plain,
( ~ spl15_88
| ~ spl15_42
| spl15_43 ),
inference(avatar_split_clause,[],[f1756,f509,f505,f714]) ).
fof(f1756,plain,
( e2 != op(e0,e1)
| ~ spl15_42
| spl15_43 ),
inference(forward_demodulation,[],[f511,f506]) ).
fof(f506,plain,
( e0 = op(e1,e1)
| ~ spl15_42 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f1826,plain,
( ~ spl15_40
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f1825,f492,f496]) ).
fof(f1825,plain,
( e3 != op(e2,e0)
| ~ spl15_39 ),
inference(forward_demodulation,[],[f148,f494]) ).
fof(f1821,plain,
( ~ spl15_39
| spl15_114 ),
inference(avatar_contradiction_clause,[],[f1820]) ).
fof(f1820,plain,
( $false
| ~ spl15_39
| spl15_114 ),
inference(subsumption_resolution,[],[f1819,f494]) ).
fof(f1819,plain,
( e3 != op(e2,e3)
| ~ spl15_39
| spl15_114 ),
inference(backward_demodulation,[],[f881,f494]) ).
fof(f1809,plain,
( ~ spl15_73
| spl15_23
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f1808,f568,f420,f647]) ).
fof(f420,plain,
( spl15_23
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f1808,plain,
( e0 != op(e0,e3)
| spl15_23
| ~ spl15_56 ),
inference(forward_demodulation,[],[f422,f570]) ).
fof(f422,plain,
( e0 != op(e0,op(e0,e0))
| spl15_23 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f1798,plain,
( ~ spl15_97
| ~ spl15_35 ),
inference(avatar_split_clause,[],[f1797,f474,f757]) ).
fof(f1797,plain,
( e0 != op(e2,e3)
| ~ spl15_35 ),
inference(forward_demodulation,[],[f141,f475]) ).
fof(f1792,plain,
( spl15_11
| ~ spl15_60
| ~ spl15_90 ),
inference(avatar_split_clause,[],[f1784,f724,f586,f367]) ).
fof(f1784,plain,
( e3 = op(e3,e1)
| ~ spl15_60
| ~ spl15_90 ),
inference(backward_demodulation,[],[f587,f726]) ).
fof(f587,plain,
( e3 = op(e3,op(e3,e3))
| ~ spl15_60 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f1782,plain,
( ~ spl15_72
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f1781,f505,f643]) ).
fof(f1781,plain,
( e0 != op(e0,e1)
| ~ spl15_42 ),
inference(forward_demodulation,[],[f133,f506]) ).
fof(f1777,plain,
( ~ spl15_87
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1776,f341,f709]) ).
fof(f1776,plain,
( e0 != op(e3,e1)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f157,f343]) ).
fof(f1768,plain,
( ~ spl15_87
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f1767,f505,f709]) ).
fof(f1767,plain,
( e0 != op(e3,e1)
| ~ spl15_42 ),
inference(forward_demodulation,[],[f131,f506]) ).
fof(f1760,plain,
( ~ spl15_5
| ~ spl15_20 ),
inference(avatar_contradiction_clause,[],[f1759]) ).
fof(f1759,plain,
( $false
| ~ spl15_5
| ~ spl15_20 ),
inference(subsumption_resolution,[],[f1758,f89]) ).
fof(f1758,plain,
( e0 = e2
| ~ spl15_5
| ~ spl15_20 ),
inference(forward_demodulation,[],[f343,f408]) ).
fof(f1750,plain,
( spl15_1
| ~ spl15_93 ),
inference(avatar_contradiction_clause,[],[f1749]) ).
fof(f1749,plain,
( $false
| spl15_1
| ~ spl15_93 ),
inference(subsumption_resolution,[],[f1748,f741]) ).
fof(f1748,plain,
( e2 != op(e0,e2)
| spl15_1
| ~ spl15_93 ),
inference(backward_demodulation,[],[f326,f741]) ).
fof(f1710,plain,
( ~ spl15_25
| ~ spl15_42
| spl15_109 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1709,plain,
( $false
| ~ spl15_25
| ~ spl15_42
| spl15_109 ),
inference(subsumption_resolution,[],[f1575,f506]) ).
fof(f1575,plain,
( e0 != op(e1,e1)
| ~ spl15_25
| spl15_109 ),
inference(forward_demodulation,[],[f845,f431]) ).
fof(f1707,plain,
( ~ spl15_73
| ~ spl15_115 ),
inference(avatar_contradiction_clause,[],[f1706]) ).
fof(f1706,plain,
( $false
| ~ spl15_73
| ~ spl15_115 ),
inference(subsumption_resolution,[],[f1705,f85]) ).
fof(f1705,plain,
( e0 = e1
| ~ spl15_73
| ~ spl15_115 ),
inference(forward_demodulation,[],[f649,f900]) ).
fof(f1698,plain,
( ~ spl15_101
| spl15_116 ),
inference(avatar_contradiction_clause,[],[f1697]) ).
fof(f1697,plain,
( $false
| ~ spl15_101
| spl15_116 ),
inference(subsumption_resolution,[],[f1696,f781]) ).
fof(f1696,plain,
( e1 != op(e2,e1)
| ~ spl15_101
| spl15_116 ),
inference(forward_demodulation,[],[f914,f781]) ).
fof(f1694,plain,
( ~ spl15_18
| ~ spl15_42
| spl15_61 ),
inference(avatar_split_clause,[],[f1693,f591,f505,f398]) ).
fof(f1693,plain,
( op(e0,e0) != e2
| ~ spl15_42
| spl15_61 ),
inference(forward_demodulation,[],[f593,f506]) ).
fof(f1692,plain,
( ~ spl15_13
| ~ spl15_88 ),
inference(avatar_contradiction_clause,[],[f1691]) ).
fof(f1691,plain,
( $false
| ~ spl15_13
| ~ spl15_88 ),
inference(subsumption_resolution,[],[f1690,f88]) ).
fof(f1690,plain,
( e2 = e3
| ~ spl15_13
| ~ spl15_88 ),
inference(forward_demodulation,[],[f716,f377]) ).
fof(f1683,plain,
( ~ spl15_56
| ~ spl15_42
| spl15_44 ),
inference(avatar_split_clause,[],[f1682,f513,f505,f568]) ).
fof(f1682,plain,
( op(e0,e0) != e3
| ~ spl15_42
| spl15_44 ),
inference(forward_demodulation,[],[f515,f506]) ).
fof(f1681,plain,
( ~ spl15_57
| ~ spl15_25 ),
inference(avatar_split_clause,[],[f1680,f429,f572]) ).
fof(f1680,plain,
( e1 != op(e1,e3)
| ~ spl15_25 ),
inference(forward_demodulation,[],[f136,f431]) ).
fof(f1674,plain,
( ~ spl15_13
| spl15_77
| ~ spl15_115 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1673,plain,
( $false
| ~ spl15_13
| spl15_77
| ~ spl15_115 ),
inference(subsumption_resolution,[],[f1672,f377]) ).
fof(f1672,plain,
( e3 != op(e0,e1)
| spl15_77
| ~ spl15_115 ),
inference(forward_demodulation,[],[f666,f900]) ).
fof(f1663,plain,
( ~ spl15_49
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f1662,f505,f536]) ).
fof(f1662,plain,
( e0 != op(e1,e3)
| ~ spl15_42 ),
inference(backward_demodulation,[],[f156,f506]) ).
fof(f1660,plain,
( ~ spl15_35
| ~ spl15_83 ),
inference(avatar_contradiction_clause,[],[f1659]) ).
fof(f1659,plain,
( $false
| ~ spl15_35
| ~ spl15_83 ),
inference(subsumption_resolution,[],[f1658,f89]) ).
fof(f1658,plain,
( e0 = e2
| ~ spl15_35
| ~ spl15_83 ),
inference(forward_demodulation,[],[f475,f693]) ).
fof(f1652,plain,
( ~ spl15_85
| ~ spl15_96 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1651,plain,
( $false
| ~ spl15_85
| ~ spl15_96 ),
inference(subsumption_resolution,[],[f1650,f703]) ).
fof(f703,plain,
( e1 = op(e3,e1)
| ~ spl15_85 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1650,plain,
( e1 != op(e3,e1)
| ~ spl15_96 ),
inference(forward_demodulation,[],[f132,f754]) ).
fof(f1644,plain,
( ~ spl15_13
| spl15_100
| ~ spl15_115 ),
inference(avatar_contradiction_clause,[],[f1643]) ).
fof(f1643,plain,
( $false
| ~ spl15_13
| spl15_100
| ~ spl15_115 ),
inference(subsumption_resolution,[],[f1416,f900]) ).
fof(f1416,plain,
( e1 != op(e0,e3)
| ~ spl15_13
| spl15_100 ),
inference(forward_demodulation,[],[f776,f377]) ).
fof(f1638,plain,
( ~ spl15_112
| ~ spl15_115 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1637,plain,
( $false
| ~ spl15_112
| ~ spl15_115 ),
inference(subsumption_resolution,[],[f1554,f900]) ).
fof(f1554,plain,
( e1 != op(e0,e3)
| ~ spl15_112 ),
inference(forward_demodulation,[],[f153,f871]) ).
fof(f1633,plain,
( spl15_37
| ~ spl15_85 ),
inference(avatar_contradiction_clause,[],[f1632]) ).
fof(f1632,plain,
( $false
| spl15_37
| ~ spl15_85 ),
inference(subsumption_resolution,[],[f1631,f703]) ).
fof(f1631,plain,
( e1 != op(e3,e1)
| spl15_37
| ~ spl15_85 ),
inference(forward_demodulation,[],[f485,f703]) ).
fof(f1629,plain,
( ~ spl15_55
| spl15_60 ),
inference(avatar_contradiction_clause,[],[f1628]) ).
fof(f1628,plain,
( $false
| ~ spl15_55
| spl15_60 ),
inference(subsumption_resolution,[],[f1627,f566]) ).
fof(f1627,plain,
( e3 != op(e3,e3)
| ~ spl15_55
| spl15_60 ),
inference(forward_demodulation,[],[f588,f566]) ).
fof(f1626,plain,
( ~ spl15_20
| spl15_66
| ~ spl15_99 ),
inference(avatar_contradiction_clause,[],[f1625]) ).
fof(f1625,plain,
( $false
| ~ spl15_20
| spl15_66
| ~ spl15_99 ),
inference(subsumption_resolution,[],[f1624,f408]) ).
fof(f1624,plain,
( e2 != op(e3,e0)
| spl15_66
| ~ spl15_99 ),
inference(forward_demodulation,[],[f616,f771]) ).
fof(f1581,plain,
( ~ spl15_13
| ~ spl15_107 ),
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1580,plain,
( $false
| ~ spl15_13
| ~ spl15_107 ),
inference(subsumption_resolution,[],[f1579,f87]) ).
fof(f1579,plain,
( e1 = e3
| ~ spl15_13
| ~ spl15_107 ),
inference(forward_demodulation,[],[f825,f377]) ).
fof(f1536,plain,
( ~ spl15_8
| ~ spl15_98
| spl15_113 ),
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1535,plain,
( $false
| ~ spl15_8
| ~ spl15_98
| spl15_113 ),
inference(subsumption_resolution,[],[f1477,f763]) ).
fof(f1477,plain,
( e0 != op(e2,e1)
| ~ spl15_8
| spl15_113 ),
inference(forward_demodulation,[],[f876,f356]) ).
fof(f876,plain,
( e0 != op(op(e1,e1),e1)
| spl15_113 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f874,plain,
( spl15_113
<=> e0 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_113])]) ).
fof(f1525,plain,
( ~ spl15_98
| ~ spl15_101 ),
inference(avatar_contradiction_clause,[],[f1524]) ).
fof(f1524,plain,
( $false
| ~ spl15_98
| ~ spl15_101 ),
inference(subsumption_resolution,[],[f1523,f85]) ).
fof(f1523,plain,
( e0 = e1
| ~ spl15_98
| ~ spl15_101 ),
inference(forward_demodulation,[],[f781,f763]) ).
fof(f1522,plain,
( ~ spl15_83
| spl15_104 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1521,plain,
( $false
| ~ spl15_83
| spl15_104 ),
inference(subsumption_resolution,[],[f1515,f693]) ).
fof(f1515,plain,
( e2 != op(e2,e2)
| ~ spl15_83
| spl15_104 ),
inference(backward_demodulation,[],[f803,f693]) ).
fof(f1498,plain,
( ~ spl15_49
| ~ spl15_90
| spl15_118 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl15_49
| ~ spl15_90
| spl15_118 ),
inference(subsumption_resolution,[],[f1496,f538]) ).
fof(f1496,plain,
( e0 != op(e1,e3)
| ~ spl15_90
| spl15_118 ),
inference(forward_demodulation,[],[f947,f726]) ).
fof(f1492,plain,
( ~ spl15_49
| ~ spl15_64 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| ~ spl15_49
| ~ spl15_64 ),
inference(subsumption_resolution,[],[f1490,f90]) ).
fof(f1490,plain,
( e0 = e3
| ~ spl15_49
| ~ spl15_64 ),
inference(forward_demodulation,[],[f606,f538]) ).
fof(f1489,plain,
( ~ spl15_20
| ~ spl15_30 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1488,plain,
( $false
| ~ spl15_20
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f1487,f88]) ).
fof(f1487,plain,
( e2 = e3
| ~ spl15_20
| ~ spl15_30 ),
inference(forward_demodulation,[],[f408,f453]) ).
fof(f1484,plain,
( ~ spl15_26
| ~ spl15_98
| spl15_116 ),
inference(avatar_split_clause,[],[f1483,f912,f761,f433]) ).
fof(f1483,plain,
( e1 != op(e2,e0)
| ~ spl15_98
| spl15_116 ),
inference(forward_demodulation,[],[f914,f763]) ).
fof(f1474,plain,
( ~ spl15_6
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1473,plain,
( $false
| ~ spl15_6
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f1472,f89]) ).
fof(f1472,plain,
( e0 = e2
| ~ spl15_6
| ~ spl15_18 ),
inference(forward_demodulation,[],[f400,f347]) ).
fof(f1459,plain,
( ~ spl15_8
| ~ spl15_90
| spl15_108 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| ~ spl15_8
| ~ spl15_90
| spl15_108 ),
inference(subsumption_resolution,[],[f1455,f356]) ).
fof(f1455,plain,
( e2 != op(e1,e1)
| ~ spl15_90
| spl15_108 ),
inference(backward_demodulation,[],[f831,f726]) ).
fof(f831,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| spl15_108 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f829,plain,
( spl15_108
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_108])]) ).
fof(f1446,plain,
( ~ spl15_86
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f1445,f354,f705]) ).
fof(f1445,plain,
( e2 != op(e3,e1)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f131,f356]) ).
fof(f1426,plain,
( ~ spl15_70
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f1425,f733,f634]) ).
fof(f1425,plain,
( e2 != op(e3,e3)
| ~ spl15_92 ),
inference(forward_demodulation,[],[f171,f735]) ).
fof(f1410,plain,
( ~ spl15_55
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f1409,f492,f564]) ).
fof(f1409,plain,
( e3 != op(e3,e3)
| ~ spl15_39 ),
inference(forward_demodulation,[],[f152,f494]) ).
fof(f1406,plain,
( ~ spl15_6
| spl15_23 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1405,plain,
( $false
| ~ spl15_6
| spl15_23 ),
inference(subsumption_resolution,[],[f1404,f347]) ).
fof(f1404,plain,
( e0 != op(e0,e0)
| ~ spl15_6
| spl15_23 ),
inference(forward_demodulation,[],[f422,f347]) ).
fof(f1401,plain,
( ~ spl15_5
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f1400,f345,f341]) ).
fof(f1400,plain,
( e0 != op(e3,e0)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f168,f347]) ).
fof(f1379,plain,
( ~ spl15_18
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f1378,f743,f398]) ).
fof(f1378,plain,
( op(e0,e0) != e2
| ~ spl15_94 ),
inference(forward_demodulation,[],[f127,f745]) ).
fof(f1376,plain,
( ~ spl15_89
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f1375,f354,f718]) ).
fof(f1375,plain,
( e2 != op(e2,e1)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f169,f356]) ).
fof(f1374,plain,
( ~ spl15_101
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f1373,f728,f779]) ).
fof(f1373,plain,
( e1 != op(e2,e1)
| ~ spl15_91 ),
inference(forward_demodulation,[],[f165,f730]) ).
fof(f1368,plain,
( ~ spl15_6
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f1305,f333,f345]) ).
fof(f1305,plain,
( e0 != op(e0,e0)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f154,f335]) ).
fof(f1367,plain,
( ~ spl15_95
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f1366,f728,f748]) ).
fof(f1366,plain,
( e1 != op(e0,e2)
| ~ spl15_91 ),
inference(forward_demodulation,[],[f143,f730]) ).
fof(f1355,plain,
( ~ spl15_8
| ~ spl15_14 ),
inference(avatar_contradiction_clause,[],[f1354]) ).
fof(f1354,plain,
( $false
| ~ spl15_8
| ~ spl15_14 ),
inference(subsumption_resolution,[],[f1353,f88]) ).
fof(f1353,plain,
( e2 = e3
| ~ spl15_8
| ~ spl15_14 ),
inference(forward_demodulation,[],[f356,f381]) ).
fof(f1351,plain,
( ~ spl15_14
| ~ spl15_87
| spl15_113 ),
inference(avatar_contradiction_clause,[],[f1350]) ).
fof(f1350,plain,
( $false
| ~ spl15_14
| ~ spl15_87
| spl15_113 ),
inference(subsumption_resolution,[],[f1344,f711]) ).
fof(f1344,plain,
( e0 != op(e3,e1)
| ~ spl15_14
| spl15_113 ),
inference(backward_demodulation,[],[f876,f381]) ).
fof(f1341,plain,
( ~ spl15_10
| ~ spl15_25 ),
inference(avatar_contradiction_clause,[],[f1340]) ).
fof(f1340,plain,
( $false
| ~ spl15_10
| ~ spl15_25 ),
inference(subsumption_resolution,[],[f1339,f86]) ).
fof(f1339,plain,
( e1 = e2
| ~ spl15_10
| ~ spl15_25 ),
inference(forward_demodulation,[],[f364,f431]) ).
fof(f1331,plain,
( ~ spl15_6
| ~ spl15_56 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| ~ spl15_6
| ~ spl15_56 ),
inference(subsumption_resolution,[],[f1329,f90]) ).
fof(f1329,plain,
( e0 = e3
| ~ spl15_6
| ~ spl15_56 ),
inference(forward_demodulation,[],[f347,f570]) ).
fof(f1320,plain,
( ~ spl15_68
| ~ spl15_95 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1319,plain,
( $false
| ~ spl15_68
| ~ spl15_95 ),
inference(subsumption_resolution,[],[f1318,f85]) ).
fof(f1318,plain,
( e0 = e1
| ~ spl15_68
| ~ spl15_95 ),
inference(forward_demodulation,[],[f750,f625]) ).
fof(f1315,plain,
( ~ spl15_55
| ~ spl15_90 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1314,plain,
( $false
| ~ spl15_55
| ~ spl15_90 ),
inference(subsumption_resolution,[],[f1313,f87]) ).
fof(f1313,plain,
( e1 = e3
| ~ spl15_55
| ~ spl15_90 ),
inference(forward_demodulation,[],[f726,f566]) ).
fof(f1285,plain,
( ~ spl15_82
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f1284,f568,f686]) ).
fof(f1284,plain,
( e3 != op(e0,e3)
| ~ spl15_56 ),
inference(forward_demodulation,[],[f127,f570]) ).
fof(f1278,plain,
( ~ spl15_42
| ~ spl15_91
| spl15_111 ),
inference(avatar_split_clause,[],[f1277,f861,f728,f505]) ).
fof(f1277,plain,
( e0 != op(e1,e1)
| ~ spl15_91
| spl15_111 ),
inference(forward_demodulation,[],[f863,f730]) ).
fof(f1276,plain,
( ~ spl15_85
| ~ spl15_87 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1275,plain,
( $false
| ~ spl15_85
| ~ spl15_87 ),
inference(subsumption_resolution,[],[f1274,f85]) ).
fof(f1274,plain,
( e0 = e1
| ~ spl15_85
| ~ spl15_87 ),
inference(forward_demodulation,[],[f703,f711]) ).
fof(f1269,plain,
( ~ spl15_14
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f1268,f596,f379]) ).
fof(f1268,plain,
( e3 != op(e1,e1)
| ~ spl15_62 ),
inference(forward_demodulation,[],[f134,f598]) ).
fof(f1251,plain,
( ~ spl15_3
| ~ spl15_19 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1250,plain,
( $false
| ~ spl15_3
| ~ spl15_19 ),
inference(subsumption_resolution,[],[f1249,f89]) ).
fof(f1249,plain,
( e0 = e2
| ~ spl15_3
| ~ spl15_19 ),
inference(forward_demodulation,[],[f404,f335]) ).
fof(f1248,plain,
( ~ spl15_3
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f1246,f339]) ).
fof(f1246,plain,
( e0 != op(e1,e0)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f137,f335]) ).
fof(f1245,plain,
( ~ spl15_8
| ~ spl15_45 ),
inference(avatar_contradiction_clause,[],[f1244]) ).
fof(f1244,plain,
( $false
| ~ spl15_8
| ~ spl15_45 ),
inference(subsumption_resolution,[],[f1243,f86]) ).
fof(f1243,plain,
( e1 = e2
| ~ spl15_8
| ~ spl15_45 ),
inference(forward_demodulation,[],[f356,f520]) ).
fof(f1223,plain,
( ~ spl15_112
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f1220,f728,f869]) ).
fof(f1220,plain,
( e1 != op(e2,e3)
| ~ spl15_91 ),
inference(backward_demodulation,[],[f141,f730]) ).
fof(f1221,plain,
( ~ spl15_62
| spl15_51
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f1219,f728,f545,f596]) ).
fof(f1219,plain,
( e3 != op(e1,e2)
| spl15_51
| ~ spl15_91 ),
inference(backward_demodulation,[],[f547,f730]) ).
fof(f1214,plain,
( ~ spl15_14
| ~ spl15_45 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| ~ spl15_14
| ~ spl15_45 ),
inference(subsumption_resolution,[],[f1212,f87]) ).
fof(f1212,plain,
( e1 = e3
| ~ spl15_14
| ~ spl15_45 ),
inference(forward_demodulation,[],[f381,f520]) ).
fof(f1202,plain,
( spl15_77
| ~ spl15_82 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
fof(f1201,plain,
( $false
| spl15_77
| ~ spl15_82 ),
inference(subsumption_resolution,[],[f1200,f688]) ).
fof(f1200,plain,
( e3 != op(e0,e3)
| spl15_77
| ~ spl15_82 ),
inference(forward_demodulation,[],[f666,f688]) ).
fof(f1196,plain,
( ~ spl15_49
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1195]) ).
fof(f1195,plain,
( $false
| ~ spl15_49
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1194,f85]) ).
fof(f1194,plain,
( e0 = e1
| ~ spl15_49
| ~ spl15_57 ),
inference(forward_demodulation,[],[f538,f573]) ).
fof(f1163,plain,
( ~ spl15_24
| ~ spl15_30 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| ~ spl15_24
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f1161,f87]) ).
fof(f1161,plain,
( e1 = e3
| ~ spl15_24
| ~ spl15_30 ),
inference(forward_demodulation,[],[f427,f453]) ).
fof(f1146,plain,
( ~ spl15_107
| ~ spl15_45 ),
inference(avatar_split_clause,[],[f1143,f518,f823]) ).
fof(f1143,plain,
( e1 != op(e0,e1)
| ~ spl15_45 ),
inference(backward_demodulation,[],[f133,f520]) ).
fof(f1141,plain,
( ~ spl15_13
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f1140,f371,f375]) ).
fof(f1140,plain,
( e3 != op(e0,e1)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f162,f373]) ).
fof(f1139,plain,
( ~ spl15_6
| ~ spl15_27 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1138,plain,
( $false
| ~ spl15_6
| ~ spl15_27 ),
inference(subsumption_resolution,[],[f1137,f85]) ).
fof(f1137,plain,
( e0 = e1
| ~ spl15_6
| ~ spl15_27 ),
inference(forward_demodulation,[],[f347,f439]) ).
fof(f1136,plain,
( ~ spl15_73
| ~ spl15_68 ),
inference(avatar_split_clause,[],[f1135,f623,f647]) ).
fof(f1135,plain,
( e0 != op(e0,e3)
| ~ spl15_68 ),
inference(forward_demodulation,[],[f135,f625]) ).
fof(f1130,plain,
( ~ spl15_9
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1129,plain,
( $false
| ~ spl15_9
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1128,f86]) ).
fof(f1128,plain,
( e1 = e2
| ~ spl15_9
| ~ spl15_57 ),
inference(forward_demodulation,[],[f573,f360]) ).
fof(f1123,plain,
( ~ spl15_14
| ~ spl15_42 ),
inference(avatar_contradiction_clause,[],[f1122]) ).
fof(f1122,plain,
( $false
| ~ spl15_14
| ~ spl15_42 ),
inference(subsumption_resolution,[],[f1121,f90]) ).
fof(f1121,plain,
( e0 = e3
| ~ spl15_14
| ~ spl15_42 ),
inference(forward_demodulation,[],[f381,f506]) ).
fof(f1120,plain,
( ~ spl15_19
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1119,plain,
( $false
| ~ spl15_19
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1118,f86]) ).
fof(f1118,plain,
( e1 = e2
| ~ spl15_19
| ~ spl15_26 ),
inference(forward_demodulation,[],[f404,f435]) ).
fof(f1113,plain,
( ~ spl15_3
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
fof(f1112,plain,
( $false
| ~ spl15_3
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1111,f85]) ).
fof(f1111,plain,
( e0 = e1
| ~ spl15_3
| ~ spl15_26 ),
inference(forward_demodulation,[],[f335,f435]) ).
fof(f1110,plain,
( ~ spl15_13
| spl15_16
| ~ spl15_42 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| ~ spl15_13
| spl15_16
| ~ spl15_42 ),
inference(subsumption_resolution,[],[f1108,f377]) ).
fof(f1108,plain,
( e3 != op(e0,e1)
| spl15_16
| ~ spl15_42 ),
inference(forward_demodulation,[],[f390,f506]) ).
fof(f1107,plain,
( ~ spl15_18
| ~ spl15_27 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1106,plain,
( $false
| ~ spl15_18
| ~ spl15_27 ),
inference(subsumption_resolution,[],[f1105,f86]) ).
fof(f1105,plain,
( e1 = e2
| ~ spl15_18
| ~ spl15_27 ),
inference(forward_demodulation,[],[f400,f439]) ).
fof(f1104,plain,
( ~ spl15_106
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f1103,f564,f811]) ).
fof(f1103,plain,
( e3 != op(e3,e2)
| ~ spl15_55 ),
inference(backward_demodulation,[],[f171,f566]) ).
fof(f1087,plain,
( ~ spl15_99
| ~ spl15_41
| spl15_117 ),
inference(avatar_split_clause,[],[f1086,f918,f500,f769]) ).
fof(f1086,plain,
( e0 != op(e3,e2)
| ~ spl15_41
| spl15_117 ),
inference(forward_demodulation,[],[f920,f502]) ).
fof(f920,plain,
( e0 != op(op(e2,e2),e2)
| spl15_117 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f1079,plain,
( ~ spl15_42
| ~ spl15_45 ),
inference(avatar_contradiction_clause,[],[f1078]) ).
fof(f1078,plain,
( $false
| ~ spl15_42
| ~ spl15_45 ),
inference(subsumption_resolution,[],[f1077,f85]) ).
fof(f1077,plain,
( e0 = e1
| ~ spl15_42
| ~ spl15_45 ),
inference(forward_demodulation,[],[f520,f506]) ).
fof(f1075,plain,
( ~ spl15_96
| spl15_34
| ~ spl15_41 ),
inference(avatar_split_clause,[],[f1071,f500,f470,f752]) ).
fof(f470,plain,
( spl15_34
<=> e1 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f1071,plain,
( e1 != op(e3,e2)
| spl15_34
| ~ spl15_41 ),
inference(backward_demodulation,[],[f472,f502]) ).
fof(f472,plain,
( e1 != op(op(e2,e2),e2)
| spl15_34 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f1074,plain,
( ~ spl15_106
| ~ spl15_41 ),
inference(avatar_split_clause,[],[f1070,f500,f811]) ).
fof(f1070,plain,
( e3 != op(e3,e2)
| ~ spl15_41 ),
inference(backward_demodulation,[],[f150,f502]) ).
fof(f1073,plain,
( ~ spl15_102
| ~ spl15_41 ),
inference(avatar_split_clause,[],[f1069,f500,f786]) ).
fof(f1069,plain,
( e3 != op(e0,e2)
| ~ spl15_41 ),
inference(backward_demodulation,[],[f143,f502]) ).
fof(f1068,plain,
( ~ spl15_10
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f1066,f358,f362]) ).
fof(f1066,plain,
( e2 != op(e1,e0)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f136,f360]) ).
fof(f1065,plain,
( ~ spl15_91
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f1058,f695,f728]) ).
fof(f1058,plain,
( e1 != op(e2,e2)
| ~ spl15_84 ),
inference(backward_demodulation,[],[f139,f696]) ).
fof(f1064,plain,
( ~ spl15_57
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f1059,f695,f572]) ).
fof(f1059,plain,
( e1 != op(e1,e3)
| ~ spl15_84 ),
inference(backward_demodulation,[],[f173,f696]) ).
fof(f1063,plain,
( ~ spl15_96
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f1057,f695,f752]) ).
fof(f1057,plain,
( e1 != op(e3,e2)
| ~ spl15_84 ),
inference(backward_demodulation,[],[f147,f696]) ).
fof(f1061,plain,
( ~ spl15_25
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f1056,f695,f429]) ).
fof(f1056,plain,
( e1 != op(e1,e0)
| ~ spl15_84 ),
inference(backward_demodulation,[],[f146,f696]) ).
fof(f1054,plain,
( ~ spl15_25
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f1050,f433,f429]) ).
fof(f1050,plain,
( e1 != op(e1,e0)
| ~ spl15_26 ),
inference(backward_demodulation,[],[f137,f435]) ).
fof(f1053,plain,
( ~ spl15_91
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f1052,f433,f728]) ).
fof(f1052,plain,
( e1 != op(e2,e2)
| ~ spl15_26 ),
inference(backward_demodulation,[],[f164,f435]) ).
fof(f1033,plain,
( ~ spl15_8
| ~ spl15_42 ),
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1032,plain,
( $false
| ~ spl15_8
| ~ spl15_42 ),
inference(subsumption_resolution,[],[f1031,f89]) ).
fof(f1031,plain,
( e0 = e2
| ~ spl15_8
| ~ spl15_42 ),
inference(forward_demodulation,[],[f356,f506]) ).
fof(f1030,plain,
( ~ spl15_5
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
fof(f1029,plain,
( $false
| ~ spl15_5
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1028,f85]) ).
fof(f1028,plain,
( e0 = e1
| ~ spl15_5
| ~ spl15_24 ),
inference(forward_demodulation,[],[f427,f343]) ).
fof(f1027,plain,
( ~ spl15_5
| ~ spl15_30 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1026,plain,
( $false
| ~ spl15_5
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f1025,f90]) ).
fof(f1025,plain,
( e0 = e3
| ~ spl15_5
| ~ spl15_30 ),
inference(forward_demodulation,[],[f453,f343]) ).
fof(f1021,plain,
( ~ spl15_98
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f1017,f505,f761]) ).
fof(f1017,plain,
( e0 != op(e2,e1)
| ~ spl15_42 ),
inference(backward_demodulation,[],[f169,f506]) ).
fof(f987,plain,
( ~ spl15_97
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f982,f647,f757]) ).
fof(f982,plain,
( e0 != op(e2,e3)
| ~ spl15_73 ),
inference(backward_demodulation,[],[f153,f649]) ).
fof(f978,plain,
( ~ spl15_65
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f183,f879,f609]) ).
fof(f609,plain,
( spl15_65
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).
fof(f183,plain,
( e3 != op(e2,op(e2,e3))
| ~ sP14 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e2 = op(e1,e2)
& e3 != op(e2,op(e2,e3))
& e2 = op(e2,e1)
& e1 != op(e2,op(e2,e1))
& e0 != op(e2,op(e2,e0))
& e2 != op(e2,op(e2,e2)) )
| ~ sP14 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e2 = op(e1,e2)
& e3 != op(e2,op(e2,e3))
& e2 = op(e2,e1)
& e1 != op(e2,op(e2,e1))
& e0 != op(e2,op(e2,e0))
& e2 != op(e2,op(e2,e2)) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f977,plain,
( spl15_107
| spl15_95
| spl15_27
| spl15_115 ),
inference(avatar_split_clause,[],[f119,f898,f437,f748,f823]) ).
fof(f119,plain,
( e1 = op(e0,e3)
| op(e0,e0) = e1
| e1 = op(e0,e2)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e2,e2) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| e0 = op(e3,e2) )
& ( e0 = op(e0,e0)
| e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3) )
& ( op(e0,e0) = e1
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1) )
& ( e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1) )
& ( e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| e1 = op(e1,e1) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| op(e0,e0) = e3 )
& ( e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e3)
| op(e0,e0) = e2 )
& ( e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| e1 = op(e1,e2) )
& ( e2 = op(e3,e0)
| e2 = op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e3,e1) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| e3 = op(e3,e1) )
& ( e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e3) )
& ( e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3) )
& ( e3 = op(e1,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e3) )
& ( e0 = op(e2,e2)
| e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e1) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2)
| e1 = op(e1,e2) )
& ( e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e3,e2)
| e2 = op(e0,e2) )
& ( op(e0,e0) = e1
| e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e3,e0) )
& ( e1 = op(e0,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3) )
& ( e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e0) )
& ( e3 = op(e1,e0)
| op(e0,e0) = e3
| e3 = op(e2,e0)
| e3 = op(e3,e0) )
& ( e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| e0 = op(e1,e3) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1) )
& ( e2 = op(e1,e1)
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1) )
& ( e3 = op(e2,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e1,e1) )
& ( e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| e2 = op(e3,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f975,plain,
( ~ spl15_116
| ~ spl15_78 ),
inference(avatar_split_clause,[],[f207,f668,f912]) ).
fof(f668,plain,
( spl15_78
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).
fof(f207,plain,
( ~ sP10
| e1 != op(e2,op(e2,e1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e2 != op(e2,op(e2,e2))
& e1 != op(e2,op(e2,e1))
& e2 = op(e0,e2)
& e3 != op(e2,op(e2,e3))
& e0 != op(e2,op(e2,e0))
& e2 = op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e2 != op(e2,op(e2,e2))
& e1 != op(e2,op(e2,e1))
& e2 = op(e0,e2)
& e3 != op(e2,op(e2,e3))
& e0 != op(e2,op(e2,e0))
& e2 = op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f974,plain,
( spl15_18
| spl15_83
| spl15_8
| ~ spl15_68
| spl15_70 ),
inference(avatar_split_clause,[],[f277,f634,f623,f354,f691,f398]) ).
fof(f277,plain,
( e2 = op(e3,e3)
| e0 != op(e0,e2)
| e2 = op(e1,e1)
| e2 = op(e2,e2)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( op(e0,e0) = e3
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e2 != op(e2,e3)
| e3 = op(e1,e1) )
& ( e3 = op(e2,e2)
| e3 = op(e1,e1)
| e3 = op(e3,e3)
| op(e0,e0) = e3
| e1 != op(e1,e3) )
& ( e1 = op(e3,e3)
| op(e0,e0) = e1
| e3 != op(e3,e1)
| e1 = op(e2,e2)
| e1 = op(e1,e1) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e0,e0)
| e1 != op(e1,e0)
| e0 = op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 = op(e3,e3)
| e0 != op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e1,e1) )
& ( e1 = op(e3,e3)
| e0 != op(e0,e1)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 = op(e2,e2)
| e2 = op(e3,e3)
| e2 != op(e2,e2) )
& ( ( e2 != op(e0,op(e0,e2))
& e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 != op(e0,op(e0,e0))
& e3 != op(e0,op(e0,e3))
& e1 != op(e0,op(e0,e1)) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e2 = op(e2,e2)
| op(e0,e0) = e2
| e2 = op(e3,e3)
| e0 != op(e0,e2)
| e2 = op(e1,e1) )
& ( op(e0,e0) = e3
| e3 = op(e3,e3)
| e3 = op(e1,e1)
| e0 != op(e0,e3)
| e3 = op(e2,e2) )
& ( e3 = op(e3,e3)
| e3 = op(e2,e2)
| op(e0,e0) = e3
| e3 = op(e1,e1)
| e3 != op(e3,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e1,e1)
| e0 = op(e0,e0)
| e2 != op(e2,e0)
| e0 = op(e2,e2) )
& ( op(e0,e0) = e2
| e2 = op(e1,e1)
| e3 != op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e2,e2) )
& ( e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e0,e0)
| e3 != op(e3,e0)
| e0 = op(e3,e3) )
& ( e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e1,e1)
| e1 != op(e1,e1)
| op(e0,e0) = e1 )
& ( e1 != op(e1,e2)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( op(e0,e0) = e1
| e1 = op(e3,e3)
| e1 = op(e1,e1)
| e2 != op(e2,e1)
| e1 = op(e2,e2) ) ),
inference(definition_folding,[],[f5,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
( ( e2 = op(e3,e2)
& e0 != op(e2,op(e2,e0))
& e2 != op(e2,op(e2,e2))
& e3 != op(e2,op(e2,e3))
& e1 != op(e2,op(e2,e1))
& e2 = op(e2,e3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( e1 != op(e3,op(e3,e1))
& e3 = op(e3,e0)
& e2 != op(e3,op(e3,e2))
& e3 != op(e3,op(e3,e3))
& e0 != op(e3,op(e3,e0))
& e3 = op(e0,e3) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f56,plain,
( ( e2 != op(e0,op(e0,e2))
& e0 = op(e0,e3)
& e1 != op(e0,op(e0,e1))
& e0 = op(e3,e0)
& e3 != op(e0,op(e0,e3))
& e0 != op(e0,op(e0,e0)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f57,plain,
( ( e1 = op(e0,e1)
& e3 != op(e1,op(e1,e3))
& e1 != op(e1,op(e1,e1))
& e2 != op(e1,op(e1,e2))
& e1 = op(e1,e0)
& e0 != op(e1,op(e1,e0)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
( ( e3 != op(e2,op(e2,e3))
& e2 = op(e2,e2)
& e0 != op(e2,op(e2,e0))
& e1 != op(e2,op(e2,e1))
& e2 != op(e2,op(e2,e2))
& e2 = op(e2,e2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f59,plain,
( ( e1 != op(e1,op(e1,e1))
& e2 != op(e1,op(e1,e2))
& e3 != op(e1,op(e1,e3))
& e0 != op(e1,op(e1,e0))
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f60,plain,
( ( e2 != op(e1,op(e1,e2))
& e1 != op(e1,op(e1,e1))
& e1 = op(e1,e1)
& e1 = op(e1,e1)
& e3 != op(e1,op(e1,e3))
& e0 != op(e1,op(e1,e0)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f61,plain,
( ( e0 = op(e2,e0)
& e0 = op(e0,e2)
& e1 != op(e0,op(e0,e1))
& e2 != op(e0,op(e0,e2))
& e0 != op(e0,op(e0,e0))
& e3 != op(e0,op(e0,e3)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f62,plain,
( ( e0 != op(e3,op(e3,e0))
& e3 = op(e1,e3)
& e3 = op(e3,e1)
& e2 != op(e3,op(e3,e2))
& e3 != op(e3,op(e3,e3))
& e1 != op(e3,op(e3,e1)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f63,plain,
( ( e3 = op(e3,e2)
& e0 != op(e3,op(e3,e0))
& e2 != op(e3,op(e3,e2))
& e1 != op(e3,op(e3,e1))
& e3 != op(e3,op(e3,e3))
& e3 = op(e2,e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f65,plain,
( ( e0 != op(e3,op(e3,e0))
& e3 = op(e3,e3)
& e3 != op(e3,op(e3,e3))
& e3 = op(e3,e3)
& e2 != op(e3,op(e3,e2))
& e1 != op(e3,op(e3,e1)) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f66,plain,
( ( e2 != op(e1,op(e1,e2))
& e1 = op(e1,e2)
& e0 != op(e1,op(e1,e0))
& e3 != op(e1,op(e1,e3))
& e1 = op(e2,e1)
& e1 != op(e1,op(e1,e1)) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f67,plain,
( ( e0 = op(e0,e1)
& e3 != op(e0,op(e0,e3))
& e0 = op(e1,e0)
& e1 != op(e0,op(e0,e1))
& e0 != op(e0,op(e0,e0))
& e2 != op(e0,op(e0,e2)) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f5,axiom,
( ( op(e0,e0) = e3
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e2 != op(e2,e3)
| e3 = op(e1,e1) )
& ( e3 = op(e2,e2)
| e3 = op(e1,e1)
| e3 = op(e3,e3)
| op(e0,e0) = e3
| e1 != op(e1,e3) )
& ( e1 = op(e3,e3)
| op(e0,e0) = e1
| e3 != op(e3,e1)
| e1 = op(e2,e2)
| e1 = op(e1,e1) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e0,e0)
| e1 != op(e1,e0)
| e0 = op(e2,e2) )
& ( e0 = op(e0,e0)
| e0 = op(e3,e3)
| e0 != op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e1,e1) )
& ( e1 = op(e3,e3)
| e0 != op(e0,e1)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 = op(e2,e2)
| e2 = op(e3,e3)
| e2 != op(e2,e2) )
& ( ( e2 != op(e0,op(e0,e2))
& e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 != op(e0,op(e0,e0))
& e3 != op(e0,op(e0,e3))
& e1 != op(e0,op(e0,e1)) )
| ( e2 = op(e1,e2)
& e3 != op(e2,op(e2,e3))
& e2 = op(e2,e1)
& e1 != op(e2,op(e2,e1))
& e0 != op(e2,op(e2,e0))
& e2 != op(e2,op(e2,e2)) )
| ( e0 = op(e0,e1)
& e3 != op(e0,op(e0,e3))
& e0 = op(e1,e0)
& e1 != op(e0,op(e0,e1))
& e0 != op(e0,op(e0,e0))
& e2 != op(e0,op(e0,e2)) )
| ( e2 != op(e1,op(e1,e2))
& e1 = op(e1,e2)
& e0 != op(e1,op(e1,e0))
& e3 != op(e1,op(e1,e3))
& e1 = op(e2,e1)
& e1 != op(e1,op(e1,e1)) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e3,e3)
& e3 != op(e3,op(e3,e3))
& e3 = op(e3,e3)
& e2 != op(e3,op(e3,e2))
& e1 != op(e3,op(e3,e1)) )
| ( e2 != op(e2,op(e2,e2))
& e1 != op(e2,op(e2,e1))
& e2 = op(e0,e2)
& e3 != op(e2,op(e2,e3))
& e0 != op(e2,op(e2,e0))
& e2 = op(e2,e0) )
| ( e3 = op(e3,e2)
& e0 != op(e3,op(e3,e0))
& e2 != op(e3,op(e3,e2))
& e1 != op(e3,op(e3,e1))
& e3 != op(e3,op(e3,e3))
& e3 = op(e2,e3) )
| ( e0 != op(e3,op(e3,e0))
& e3 = op(e1,e3)
& e3 = op(e3,e1)
& e2 != op(e3,op(e3,e2))
& e3 != op(e3,op(e3,e3))
& e1 != op(e3,op(e3,e1)) )
| ( e0 = op(e2,e0)
& e0 = op(e0,e2)
& e1 != op(e0,op(e0,e1))
& e2 != op(e0,op(e0,e2))
& e0 != op(e0,op(e0,e0))
& e3 != op(e0,op(e0,e3)) )
| ( e2 != op(e1,op(e1,e2))
& e1 != op(e1,op(e1,e1))
& e1 = op(e1,e1)
& e1 = op(e1,e1)
& e3 != op(e1,op(e1,e3))
& e0 != op(e1,op(e1,e0)) )
| ( e1 != op(e1,op(e1,e1))
& e2 != op(e1,op(e1,e2))
& e3 != op(e1,op(e1,e3))
& e0 != op(e1,op(e1,e0))
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ( e3 != op(e2,op(e2,e3))
& e2 = op(e2,e2)
& e0 != op(e2,op(e2,e0))
& e1 != op(e2,op(e2,e1))
& e2 != op(e2,op(e2,e2))
& e2 = op(e2,e2) )
| ( e1 = op(e0,e1)
& e3 != op(e1,op(e1,e3))
& e1 != op(e1,op(e1,e1))
& e2 != op(e1,op(e1,e2))
& e1 = op(e1,e0)
& e0 != op(e1,op(e1,e0)) )
| ( e2 != op(e0,op(e0,e2))
& e0 = op(e0,e3)
& e1 != op(e0,op(e0,e1))
& e0 = op(e3,e0)
& e3 != op(e0,op(e0,e3))
& e0 != op(e0,op(e0,e0)) )
| ( e1 != op(e3,op(e3,e1))
& e3 = op(e3,e0)
& e2 != op(e3,op(e3,e2))
& e3 != op(e3,op(e3,e3))
& e0 != op(e3,op(e3,e0))
& e3 = op(e0,e3) )
| ( e2 = op(e3,e2)
& e0 != op(e2,op(e2,e0))
& e2 != op(e2,op(e2,e2))
& e3 != op(e2,op(e2,e3))
& e1 != op(e2,op(e2,e1))
& e2 = op(e2,e3) ) )
& ( e2 = op(e2,e2)
| op(e0,e0) = e2
| e2 = op(e3,e3)
| e0 != op(e0,e2)
| e2 = op(e1,e1) )
& ( op(e0,e0) = e3
| e3 = op(e3,e3)
| e3 = op(e1,e1)
| e0 != op(e0,e3)
| e3 = op(e2,e2) )
& ( e3 = op(e3,e3)
| e3 = op(e2,e2)
| op(e0,e0) = e3
| e3 = op(e1,e1)
| e3 != op(e3,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e1,e1)
| e0 = op(e0,e0)
| e2 != op(e2,e0)
| e0 = op(e2,e2) )
& ( op(e0,e0) = e2
| e2 = op(e1,e1)
| e3 != op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e2,e2) )
& ( e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e0,e0)
| e3 != op(e3,e0)
| e0 = op(e3,e3) )
& ( e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e1,e1)
| e1 != op(e1,e1)
| op(e0,e0) = e1 )
& ( e1 != op(e1,e2)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( op(e0,e0) = e1
| e1 = op(e3,e3)
| e1 = op(e1,e1)
| e2 != op(e2,e1)
| e1 = op(e2,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f973,plain,
( spl15_48
| spl15_84
| spl15_62
| spl15_7 ),
inference(avatar_split_clause,[],[f315,f350,f596,f695,f532]) ).
fof(f315,plain,
( e2 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e1 = op(e3,e1)
| e0 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1) )
& ( e0 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2) )
& ( e1 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e0 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e1 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e2 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2) )
& ( e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e3 = op(e3,e3) )
& ( e3 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e2 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e1 = op(e2,e3) )
& ( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e1
| e0 = op(e0,e0) )
& ( e2 = op(e0,e2)
| e3 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f972,plain,
( spl15_25
| spl15_10
| spl15_4
| spl15_63 ),
inference(avatar_split_clause,[],[f306,f600,f337,f362,f429]) ).
fof(f306,plain,
( e3 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f971,plain,
( spl15_38
| spl15_67
| spl15_65
| spl15_74
| spl15_79
| spl15_59
| spl15_2
| spl15_80
| spl15_53
| spl15_17
| spl15_75
| spl15_76
| ~ spl15_1
| spl15_21
| spl15_32
| spl15_78 ),
inference(avatar_split_clause,[],[f283,f668,f460,f411,f324,f660,f656,f393,f554,f676,f328,f581,f672,f652,f609,f618,f487]) ).
fof(f487,plain,
( spl15_38
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f618,plain,
( spl15_67
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).
fof(f652,plain,
( spl15_74
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).
fof(f672,plain,
( spl15_79
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).
fof(f581,plain,
( spl15_59
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
fof(f328,plain,
( spl15_2
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f676,plain,
( spl15_80
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).
fof(f554,plain,
( spl15_53
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
fof(f393,plain,
( spl15_17
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f656,plain,
( spl15_75
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).
fof(f660,plain,
( spl15_76
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).
fof(f411,plain,
( spl15_21
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f460,plain,
( spl15_32
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f283,plain,
( sP10
| sP4
| sP12
| e2 != op(e0,op(e0,e2))
| sP6
| sP3
| sP2
| sP1
| sP0
| sP7
| sP5
| sP9
| sP13
| sP14
| sP8
| sP11 ),
inference(cnf_transformation,[],[f69]) ).
fof(f970,plain,
( ~ spl15_77
| ~ spl15_74 ),
inference(avatar_split_clause,[],[f189,f652,f664]) ).
fof(f189,plain,
( ~ sP13
| e3 != op(e0,op(e0,e3)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e0 = op(e0,e1)
& e3 != op(e0,op(e0,e3))
& e0 = op(e1,e0)
& e1 != op(e0,op(e0,e1))
& e0 != op(e0,op(e0,e0))
& e2 != op(e0,op(e0,e2)) )
| ~ sP13 ),
inference(nnf_transformation,[],[f67]) ).
fof(f969,plain,
( ~ spl15_100
| spl15_21
| spl15_65
| spl15_74
| spl15_32
| spl15_79
| spl15_38
| spl15_53
| spl15_2
| spl15_76
| spl15_78
| spl15_80
| spl15_67
| spl15_17
| spl15_59
| spl15_75 ),
inference(avatar_split_clause,[],[f278,f656,f581,f393,f618,f676,f668,f660,f328,f554,f487,f672,f460,f652,f609,f411,f774]) ).
fof(f278,plain,
( sP3
| sP5
| sP2
| sP8
| sP0
| sP10
| sP6
| sP7
| sP1
| sP11
| sP9
| sP4
| sP13
| sP14
| sP12
| e1 != op(e0,op(e0,e1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f968,plain,
( ~ spl15_59
| spl15_85 ),
inference(avatar_split_clause,[],[f234,f701,f581]) ).
fof(f234,plain,
( e1 = op(e3,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e1 != op(e1,op(e1,e1))
& e2 != op(e1,op(e1,e2))
& e3 != op(e1,op(e1,e3))
& e0 != op(e1,op(e1,e0))
& e1 = op(e3,e1)
& e1 = op(e1,e3) )
| ~ sP5 ),
inference(nnf_transformation,[],[f59]) ).
fof(f967,plain,
( ~ spl15_60
| ~ spl15_79 ),
inference(avatar_split_clause,[],[f210,f672,f586]) ).
fof(f210,plain,
( ~ sP9
| e3 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e3 = op(e3,e2)
& e0 != op(e3,op(e3,e0))
& e2 != op(e3,op(e3,e2))
& e1 != op(e3,op(e3,e1))
& e3 != op(e3,op(e3,e3))
& e3 = op(e2,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f63]) ).
fof(f966,plain,
( spl15_92
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f268,f676,f733]) ).
fof(f268,plain,
( ~ sP0
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e2 = op(e3,e2)
& e0 != op(e2,op(e2,e0))
& e2 != op(e2,op(e2,e2))
& e3 != op(e2,op(e2,e3))
& e1 != op(e2,op(e2,e1))
& e2 = op(e2,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f965,plain,
( ~ spl15_75
| ~ spl15_109 ),
inference(avatar_split_clause,[],[f245,f843,f656]) ).
fof(f245,plain,
( e0 != op(e1,op(e1,e0))
| ~ sP3 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e1 = op(e0,e1)
& e3 != op(e1,op(e1,e3))
& e1 != op(e1,op(e1,e1))
& e2 != op(e1,op(e1,e2))
& e1 = op(e1,e0)
& e0 != op(e1,op(e1,e0)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f964,plain,
( ~ spl15_90
| ~ spl15_118
| ~ spl15_108 ),
inference(avatar_split_clause,[],[f322,f829,f945,f724]) ).
fof(f322,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f963,plain,
( ~ spl15_74
| spl15_4 ),
inference(avatar_split_clause,[],[f188,f337,f652]) ).
fof(f188,plain,
( e0 = op(e1,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f71]) ).
fof(f962,plain,
( ~ spl15_75
| spl15_25 ),
inference(avatar_split_clause,[],[f246,f429,f656]) ).
fof(f246,plain,
( e1 = op(e1,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f81]) ).
fof(f961,plain,
( ~ spl15_67
| ~ spl15_37 ),
inference(avatar_split_clause,[],[f215,f483,f618]) ).
fof(f215,plain,
( e1 != op(e3,op(e3,e1))
| ~ sP8 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e0 != op(e3,op(e3,e0))
& e3 = op(e1,e3)
& e3 = op(e3,e1)
& e2 != op(e3,op(e3,e2))
& e3 != op(e3,op(e3,e3))
& e1 != op(e3,op(e3,e1)) )
| ~ sP8 ),
inference(nnf_transformation,[],[f62]) ).
fof(f960,plain,
( spl15_6
| spl15_56
| spl15_27
| spl15_18 ),
inference(avatar_split_clause,[],[f304,f398,f437,f568,f345]) ).
fof(f304,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e3
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f959,plain,
( ~ spl15_21
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f196,f577,f411]) ).
fof(f196,plain,
( e2 != op(e1,op(e1,e2))
| ~ sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e2 != op(e1,op(e1,e2))
& e1 = op(e1,e2)
& e0 != op(e1,op(e1,e0))
& e3 != op(e1,op(e1,e3))
& e1 = op(e2,e1)
& e1 != op(e1,op(e1,e1)) )
| ~ sP12 ),
inference(nnf_transformation,[],[f66]) ).
fof(f958,plain,
( ~ spl15_119
| ~ spl15_110
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f291,f792,f855,f949]) ).
fof(f291,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f957,plain,
( spl15_41
| spl15_35
| spl15_91
| spl15_83 ),
inference(avatar_split_clause,[],[f310,f691,f728,f474,f500]) ).
fof(f310,plain,
( e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f956,plain,
( ~ spl15_78
| spl15_19 ),
inference(avatar_split_clause,[],[f203,f402,f668]) ).
fof(f203,plain,
( e2 = op(e2,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f74]) ).
fof(f955,plain,
( spl15_45
| ~ spl15_76 ),
inference(avatar_split_clause,[],[f230,f660,f518]) ).
fof(f230,plain,
( ~ sP6
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e2 != op(e1,op(e1,e2))
& e1 != op(e1,op(e1,e1))
& e1 = op(e1,e1)
& e1 = op(e1,e1)
& e3 != op(e1,op(e1,e3))
& e0 != op(e1,op(e1,e0)) )
| ~ sP6 ),
inference(nnf_transformation,[],[f60]) ).
fof(f954,plain,
( ~ spl15_109
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f235,f581,f843]) ).
fof(f235,plain,
( ~ sP5
| e0 != op(e1,op(e1,e0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f952,plain,
( ~ spl15_118
| ~ spl15_119
| ~ spl15_70 ),
inference(avatar_split_clause,[],[f295,f634,f949,f945]) ).
fof(f295,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f943,plain,
( ~ spl15_75
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f247,f577,f656]) ).
fof(f247,plain,
( e2 != op(e1,op(e1,e2))
| ~ sP3 ),
inference(cnf_transformation,[],[f81]) ).
fof(f942,plain,
( spl15_62
| spl15_41
| spl15_106
| spl15_102 ),
inference(avatar_split_clause,[],[f109,f786,f811,f500,f596]) ).
fof(f109,plain,
( e3 = op(e0,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f941,plain,
( spl15_90
| spl15_85
| spl15_96
| spl15_24 ),
inference(avatar_split_clause,[],[f107,f425,f752,f701,f724]) ).
fof(f107,plain,
( e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f940,plain,
( ~ spl15_14
| ~ spl15_43
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f125,f384,f509,f379]) ).
fof(f125,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f939,plain,
( spl15_17
| spl15_38
| spl15_67
| spl15_65
| spl15_75
| spl15_76
| spl15_78
| spl15_74
| spl15_79
| spl15_21
| spl15_32
| spl15_59
| spl15_6
| spl15_2
| spl15_53
| spl15_80 ),
inference(avatar_split_clause,[],[f282,f676,f554,f328,f345,f581,f460,f411,f672,f652,f668,f660,f656,f609,f618,f487,f393]) ).
fof(f282,plain,
( sP0
| sP1
| sP7
| e0 = op(e0,e0)
| sP5
| sP4
| sP12
| sP9
| sP13
| sP10
| sP6
| sP3
| sP14
| sP8
| sP11
| sP2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f938,plain,
( spl15_42
| spl15_103
| spl15_6
| ~ spl15_25
| spl15_35 ),
inference(avatar_split_clause,[],[f287,f474,f429,f345,f792,f505]) ).
fof(f287,plain,
( e0 = op(e2,e2)
| e1 != op(e1,e0)
| e0 = op(e0,e0)
| e0 = op(e3,e3)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f937,plain,
( ~ spl15_66
| ~ spl15_53 ),
inference(avatar_split_clause,[],[f260,f554,f614]) ).
fof(f260,plain,
( ~ sP1
| e2 != op(e3,op(e3,e2)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e1 != op(e3,op(e3,e1))
& e3 = op(e3,e0)
& e2 != op(e3,op(e3,e2))
& e3 != op(e3,op(e3,e3))
& e0 != op(e3,op(e3,e0))
& e3 = op(e0,e3) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f936,plain,
( spl15_90
| spl15_57
| spl15_115
| spl15_112 ),
inference(avatar_split_clause,[],[f99,f869,f898,f572,f724]) ).
fof(f99,plain,
( e1 = op(e2,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f935,plain,
( ~ spl15_78
| spl15_93 ),
inference(avatar_split_clause,[],[f206,f739,f668]) ).
fof(f206,plain,
( e2 = op(e0,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f74]) ).
fof(f934,plain,
( spl15_93
| spl15_102
| spl15_68
| spl15_95 ),
inference(avatar_split_clause,[],[f303,f748,f623,f786,f739]) ).
fof(f303,plain,
( e1 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f933,plain,
( ~ spl15_34
| ~ spl15_41
| ~ spl15_111 ),
inference(avatar_split_clause,[],[f178,f861,f500,f470]) ).
fof(f178,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f932,plain,
( spl15_107
| spl15_72
| spl15_88
| spl15_13 ),
inference(avatar_split_clause,[],[f314,f375,f714,f643,f823]) ).
fof(f314,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f931,plain,
( spl15_70
| spl15_94
| spl15_81
| spl15_9 ),
inference(avatar_split_clause,[],[f106,f358,f681,f743,f634]) ).
fof(f106,plain,
( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f930,plain,
( spl15_39
| spl15_55
| spl15_64
| spl15_82 ),
inference(avatar_split_clause,[],[f105,f686,f604,f564,f492]) ).
fof(f105,plain,
( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f929,plain,
( ~ spl15_32
| spl15_83 ),
inference(avatar_split_clause,[],[f243,f691,f460]) ).
fof(f243,plain,
( e2 = op(e2,e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e3 != op(e2,op(e2,e3))
& e2 = op(e2,e2)
& e0 != op(e2,op(e2,e0))
& e1 != op(e2,op(e2,e1))
& e2 != op(e2,op(e2,e2))
& e2 = op(e2,e2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f928,plain,
( spl15_73
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f255,f393,f647]) ).
fof(f255,plain,
( ~ sP2
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 != op(e0,op(e0,e2))
& e0 = op(e0,e3)
& e1 != op(e0,op(e0,e1))
& e0 = op(e3,e0)
& e3 != op(e0,op(e0,e3))
& e0 != op(e0,op(e0,e0)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f926,plain,
( ~ spl15_67
| spl15_11 ),
inference(avatar_split_clause,[],[f218,f367,f618]) ).
fof(f218,plain,
( e3 = op(e3,e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f76]) ).
fof(f925,plain,
( ~ spl15_19
| spl15_6
| spl15_35
| spl15_103
| spl15_42 ),
inference(avatar_split_clause,[],[f274,f505,f792,f474,f345,f402]) ).
fof(f274,plain,
( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e0,e0)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f924,plain,
( spl15_89
| ~ spl15_65 ),
inference(avatar_split_clause,[],[f182,f609,f718]) ).
fof(f182,plain,
( ~ sP14
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f923,plain,
( ~ spl15_77
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f221,f328,f664]) ).
fof(f221,plain,
( ~ sP7
| e3 != op(e0,op(e0,e3)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e0 = op(e2,e0)
& e0 = op(e0,e2)
& e1 != op(e0,op(e0,e1))
& e2 != op(e0,op(e0,e2))
& e0 != op(e0,op(e0,e0))
& e3 != op(e0,op(e0,e3)) )
| ~ sP7 ),
inference(nnf_transformation,[],[f61]) ).
fof(f922,plain,
( ~ spl15_116
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f264,f676,f912]) ).
fof(f264,plain,
( ~ sP0
| e1 != op(e2,op(e2,e1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f921,plain,
( ~ spl15_117
| ~ spl15_41
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f320,f541,f500,f918]) ).
fof(f320,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f915,plain,
( ~ spl15_65
| ~ spl15_116 ),
inference(avatar_split_clause,[],[f181,f912,f609]) ).
fof(f181,plain,
( e1 != op(e2,op(e2,e1))
| ~ sP14 ),
inference(cnf_transformation,[],[f70]) ).
fof(f910,plain,
( ~ spl15_100
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f224,f328,f774]) ).
fof(f224,plain,
( ~ sP7
| e1 != op(e0,op(e0,e1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f909,plain,
( spl15_5
| spl15_103
| spl15_87
| spl15_99 ),
inference(avatar_split_clause,[],[f122,f769,f709,f792,f341]) ).
fof(f122,plain,
( e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f908,plain,
( ~ spl15_37
| ~ spl15_79 ),
inference(avatar_split_clause,[],[f211,f672,f483]) ).
fof(f211,plain,
( ~ sP9
| e1 != op(e3,op(e3,e1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f907,plain,
( spl15_40
| spl15_3
| spl15_26
| spl15_19 ),
inference(avatar_split_clause,[],[f309,f402,f433,f333,f496]) ).
fof(f309,plain,
( e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f906,plain,
( spl15_49
| spl15_9
| spl15_64
| spl15_57 ),
inference(avatar_split_clause,[],[f317,f572,f604,f358,f536]) ).
fof(f317,plain,
( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f905,plain,
( spl15_97
| spl15_49
| spl15_103
| spl15_73 ),
inference(avatar_split_clause,[],[f120,f647,f792,f536,f757]) ).
fof(f120,plain,
( e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f904,plain,
( ~ spl15_14
| ~ spl15_113
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f293,f591,f874,f379]) ).
fof(f293,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f903,plain,
( spl15_89
| spl15_83
| spl15_81
| spl15_19 ),
inference(avatar_split_clause,[],[f98,f402,f681,f691,f718]) ).
fof(f98,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f901,plain,
( spl15_82
| spl15_73
| spl15_115
| spl15_94 ),
inference(avatar_split_clause,[],[f302,f743,f898,f647,f686]) ).
fof(f302,plain,
( e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f895,plain,
( spl15_26
| spl15_112
| spl15_91
| spl15_101 ),
inference(avatar_split_clause,[],[f111,f779,f728,f869,f433]) ).
fof(f111,plain,
( e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f894,plain,
( ~ spl15_53
| spl15_30 ),
inference(avatar_split_clause,[],[f261,f451,f554]) ).
fof(f261,plain,
( e3 = op(e3,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f893,plain,
( ~ spl15_66
| ~ spl15_79 ),
inference(avatar_split_clause,[],[f212,f672,f614]) ).
fof(f212,plain,
( ~ sP9
| e2 != op(e3,op(e3,e2)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f892,plain,
( ~ spl15_80
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f265,f879,f676]) ).
fof(f265,plain,
( e3 != op(e2,op(e2,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f84]) ).
fof(f891,plain,
( spl15_101
| spl15_98
| spl15_12
| spl15_89 ),
inference(avatar_split_clause,[],[f312,f718,f371,f761,f779]) ).
fof(f312,plain,
( e2 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f890,plain,
( spl15_92
| spl15_96
| spl15_99
| spl15_106 ),
inference(avatar_split_clause,[],[f308,f811,f769,f752,f733]) ).
fof(f308,plain,
( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f888,plain,
( ~ spl15_54
| ~ spl15_75 ),
inference(avatar_split_clause,[],[f248,f656,f559]) ).
fof(f248,plain,
( ~ sP3
| e1 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f886,plain,
( spl15_7
| spl15_83
| spl15_92
| spl15_93 ),
inference(avatar_split_clause,[],[f101,f739,f733,f691,f350]) ).
fof(f101,plain,
( e2 = op(e0,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f883,plain,
( ~ spl15_74
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f185,f324,f652]) ).
fof(f185,plain,
( e2 != op(e0,op(e0,e2))
| ~ sP13 ),
inference(cnf_transformation,[],[f71]) ).
fof(f882,plain,
( ~ spl15_78
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f205,f879,f668]) ).
fof(f205,plain,
( e3 != op(e2,op(e2,e3))
| ~ sP10 ),
inference(cnf_transformation,[],[f74]) ).
fof(f877,plain,
( ~ spl15_8
| ~ spl15_113
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f176,f513,f874,f354]) ).
fof(f176,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f872,plain,
( spl15_81
| spl15_39
| spl15_112
| spl15_97 ),
inference(avatar_split_clause,[],[f305,f757,f869,f492,f681]) ).
fof(f305,plain,
( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f867,plain,
( ~ spl15_1
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f256,f393,f324]) ).
fof(f256,plain,
( ~ sP2
| e2 != op(e0,op(e0,e2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f866,plain,
( ~ spl15_17
| ~ spl15_77 ),
inference(avatar_split_clause,[],[f252,f664,f393]) ).
fof(f252,plain,
( e3 != op(e0,op(e0,e3))
| ~ sP2 ),
inference(cnf_transformation,[],[f82]) ).
fof(f865,plain,
( ~ spl15_79
| spl15_39 ),
inference(avatar_split_clause,[],[f209,f492,f672]) ).
fof(f209,plain,
( e3 = op(e2,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f75]) ).
fof(f864,plain,
( ~ spl15_111
| ~ spl15_91
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f124,f545,f728,f861]) ).
fof(f124,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f859,plain,
( ~ spl15_31
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f267,f676,f456]) ).
fof(f267,plain,
( ~ sP0
| e0 != op(e2,op(e2,e0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f853,plain,
( ~ spl15_30
| spl15_103
| spl15_42
| spl15_6
| spl15_35 ),
inference(avatar_split_clause,[],[f272,f474,f345,f505,f792,f451]) ).
fof(f272,plain,
( e0 = op(e2,e2)
| e0 = op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e3,e3)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f852,plain,
( ~ spl15_104
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f266,f676,f801]) ).
fof(f266,plain,
( ~ sP0
| e2 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f851,plain,
( spl15_101
| spl15_85
| spl15_107
| spl15_45 ),
inference(avatar_split_clause,[],[f116,f518,f823,f701,f779]) ).
fof(f116,plain,
( e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f849,plain,
( ~ spl15_11
| spl15_27
| spl15_91
| spl15_90
| spl15_45 ),
inference(avatar_split_clause,[],[f288,f518,f724,f728,f437,f367]) ).
fof(f288,plain,
( e1 = op(e1,e1)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| op(e0,e0) = e1
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f848,plain,
( ~ spl15_37
| ~ spl15_53 ),
inference(avatar_split_clause,[],[f262,f554,f483]) ).
fof(f262,plain,
( ~ sP1
| e1 != op(e3,op(e3,e1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f847,plain,
( ~ spl15_32
| ~ spl15_104 ),
inference(avatar_split_clause,[],[f240,f801,f460]) ).
fof(f240,plain,
( e2 != op(e2,op(e2,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f80]) ).
fof(f846,plain,
( ~ spl15_21
| ~ spl15_109 ),
inference(avatar_split_clause,[],[f194,f843,f411]) ).
fof(f194,plain,
( e0 != op(e1,op(e1,e0))
| ~ sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f841,plain,
( spl15_55
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f199,f487,f564]) ).
fof(f199,plain,
( ~ sP11
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e0 != op(e3,op(e3,e0))
& e3 = op(e3,e3)
& e3 != op(e3,op(e3,e3))
& e3 = op(e3,e3)
& e2 != op(e3,op(e3,e2))
& e1 != op(e3,op(e3,e1)) )
| ~ sP11 ),
inference(nnf_transformation,[],[f65]) ).
fof(f840,plain,
( ~ spl15_67
| spl15_64 ),
inference(avatar_split_clause,[],[f219,f604,f618]) ).
fof(f219,plain,
( e3 = op(e1,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f76]) ).
fof(f837,plain,
( ~ spl15_81
| spl15_41
| spl15_56
| spl15_55
| spl15_14 ),
inference(avatar_split_clause,[],[f290,f379,f564,f568,f500,f681]) ).
fof(f290,plain,
( e3 = op(e1,e1)
| e3 = op(e3,e3)
| op(e0,e0) = e3
| e3 = op(e2,e2)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f836,plain,
( spl15_27
| spl15_90
| spl15_45
| spl15_91
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f269,f718,f728,f518,f724,f437]) ).
fof(f269,plain,
( e2 != op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| e1 = op(e3,e3)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f835,plain,
( spl15_30
| spl15_63
| spl15_56
| spl15_40 ),
inference(avatar_split_clause,[],[f97,f496,f568,f600,f451]) ).
fof(f97,plain,
( e3 = op(e2,e0)
| op(e0,e0) = e3
| e3 = op(e1,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f834,plain,
( ~ spl15_65
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f180,f456,f609]) ).
fof(f180,plain,
( e0 != op(e2,op(e2,e0))
| ~ sP14 ),
inference(cnf_transformation,[],[f70]) ).
fof(f833,plain,
( spl15_11
| spl15_106
| spl15_30
| spl15_55 ),
inference(avatar_split_clause,[],[f110,f564,f451,f811,f367]) ).
fof(f110,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e0)
| e3 = op(e3,e2)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f827,plain,
( ~ spl15_67
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f220,f550,f618]) ).
fof(f220,plain,
( e0 != op(e3,op(e3,e0))
| ~ sP8 ),
inference(cnf_transformation,[],[f76]) ).
fof(f826,plain,
( spl15_107
| ~ spl15_75 ),
inference(avatar_split_clause,[],[f250,f656,f823]) ).
fof(f250,plain,
( ~ sP3
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f821,plain,
( ~ spl15_59
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f236,f415,f581]) ).
fof(f236,plain,
( e3 != op(e1,op(e1,e3))
| ~ sP5 ),
inference(cnf_transformation,[],[f79]) ).
fof(f820,plain,
( spl15_8
| spl15_70
| ~ spl15_106
| spl15_83
| spl15_18 ),
inference(avatar_split_clause,[],[f273,f398,f691,f811,f634,f354]) ).
fof(f273,plain,
( op(e0,e0) = e2
| e2 = op(e2,e2)
| e3 != op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f819,plain,
( ~ spl15_54
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f238,f581,f559]) ).
fof(f238,plain,
( ~ sP5
| e1 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f818,plain,
( spl15_21
| spl15_2
| spl15_38
| spl15_76
| spl15_80
| spl15_74
| spl15_17
| spl15_75
| spl15_53
| ~ spl15_23
| spl15_59
| spl15_67
| spl15_32
| spl15_79
| spl15_65
| spl15_78 ),
inference(avatar_split_clause,[],[f280,f668,f609,f672,f460,f618,f581,f420,f554,f656,f393,f652,f676,f660,f487,f328,f411]) ).
fof(f280,plain,
( sP10
| sP14
| sP9
| sP4
| sP8
| sP5
| e0 != op(e0,op(e0,e0))
| sP1
| sP3
| sP2
| sP13
| sP0
| sP6
| sP11
| sP7
| sP12 ),
inference(cnf_transformation,[],[f69]) ).
fof(f817,plain,
( ~ spl15_53
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f259,f586,f554]) ).
fof(f259,plain,
( e3 != op(e3,op(e3,e3))
| ~ sP1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f815,plain,
( ~ spl15_23
| ~ spl15_74 ),
inference(avatar_split_clause,[],[f186,f652,f420]) ).
fof(f186,plain,
( ~ sP13
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f814,plain,
( ~ spl15_79
| spl15_106 ),
inference(avatar_split_clause,[],[f214,f811,f672]) ).
fof(f214,plain,
( e3 = op(e3,e2)
| ~ sP9 ),
inference(cnf_transformation,[],[f75]) ).
fof(f809,plain,
( ~ spl15_33
| ~ spl15_105
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f177,f568,f806,f465]) ).
fof(f177,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(e0,e0),e0)
& op(e0,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f798,plain,
( spl15_41
| spl15_55
| spl15_14
| ~ spl15_73
| spl15_56 ),
inference(avatar_split_clause,[],[f276,f568,f647,f379,f564,f500]) ).
fof(f276,plain,
( op(e0,e0) = e3
| e0 != op(e0,e3)
| e3 = op(e1,e1)
| e3 = op(e3,e3)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f797,plain,
( ~ spl15_100
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f254,f393,f774]) ).
fof(f254,plain,
( ~ sP2
| e1 != op(e0,op(e0,e1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f796,plain,
( ~ spl15_21
| spl15_84 ),
inference(avatar_split_clause,[],[f195,f695,f411]) ).
fof(f195,plain,
( e1 = op(e1,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f795,plain,
( spl15_55
| spl15_90
| spl15_103
| spl15_70 ),
inference(avatar_split_clause,[],[f307,f634,f792,f724,f564]) ).
fof(f307,plain,
( e2 = op(e3,e3)
| e0 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f789,plain,
( spl15_56
| spl15_102
| spl15_82
| spl15_13 ),
inference(avatar_split_clause,[],[f115,f375,f686,f786,f568]) ).
fof(f115,plain,
( e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f784,plain,
( spl15_57
| spl15_45
| spl15_25
| spl15_84 ),
inference(avatar_split_clause,[],[f113,f695,f429,f518,f572]) ).
fof(f113,plain,
( e1 = op(e1,e2)
| e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f783,plain,
( ~ spl15_75
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f249,f415,f656]) ).
fof(f249,plain,
( e3 != op(e1,op(e1,e3))
| ~ sP3 ),
inference(cnf_transformation,[],[f81]) ).
fof(f782,plain,
( ~ spl15_21
| spl15_101 ),
inference(avatar_split_clause,[],[f192,f779,f411]) ).
fof(f192,plain,
( e1 = op(e2,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f777,plain,
( ~ spl15_100
| ~ spl15_74 ),
inference(avatar_split_clause,[],[f187,f652,f774]) ).
fof(f187,plain,
( ~ sP13
| e1 != op(e0,op(e0,e1)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f772,plain,
( spl15_35
| spl15_68
| spl15_99
| spl15_48 ),
inference(avatar_split_clause,[],[f123,f532,f769,f623,f474]) ).
fof(f123,plain,
( e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f767,plain,
( ~ spl15_79
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f213,f550,f672]) ).
fof(f213,plain,
( e0 != op(e3,op(e3,e0))
| ~ sP9 ),
inference(cnf_transformation,[],[f75]) ).
fof(f766,plain,
( ~ spl15_76
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f231,f559,f660]) ).
fof(f231,plain,
( e1 != op(e1,op(e1,e1))
| ~ sP6 ),
inference(cnf_transformation,[],[f78]) ).
fof(f765,plain,
( spl15_72
| spl15_98
| spl15_87
| spl15_42 ),
inference(avatar_split_clause,[],[f95,f505,f709,f761,f643]) ).
fof(f95,plain,
( e0 = op(e1,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f764,plain,
( spl15_35
| spl15_97
| spl15_3
| spl15_98 ),
inference(avatar_split_clause,[],[f103,f761,f333,f757,f474]) ).
fof(f103,plain,
( e0 = op(e2,e1)
| e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f755,plain,
( spl15_95
| spl15_96
| spl15_84
| spl15_91 ),
inference(avatar_split_clause,[],[f102,f728,f695,f752,f748]) ).
fof(f102,plain,
( e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e3,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f746,plain,
( spl15_93
| spl15_94
| spl15_18
| spl15_88 ),
inference(avatar_split_clause,[],[f114,f714,f398,f743,f739]) ).
fof(f114,plain,
( e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e3)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f737,plain,
( spl15_72
| ~ spl15_74 ),
inference(avatar_split_clause,[],[f190,f652,f643]) ).
fof(f190,plain,
( ~ sP13
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f736,plain,
( spl15_92
| spl15_86
| spl15_70
| spl15_20 ),
inference(avatar_split_clause,[],[f112,f406,f634,f705,f733]) ).
fof(f112,plain,
( e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f731,plain,
( spl15_27
| spl15_90
| spl15_45
| ~ spl15_72
| spl15_91 ),
inference(avatar_split_clause,[],[f285,f728,f643,f518,f724,f437]) ).
fof(f285,plain,
( e1 = op(e2,e2)
| e0 != op(e0,e1)
| e1 = op(e1,e1)
| e1 = op(e3,e3)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f722,plain,
( ~ spl15_31
| ~ spl15_78 ),
inference(avatar_split_clause,[],[f204,f668,f456]) ).
fof(f204,plain,
( ~ sP10
| e0 != op(e2,op(e2,e0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f721,plain,
( spl15_88
| spl15_86
| spl15_89
| spl15_8 ),
inference(avatar_split_clause,[],[f94,f354,f718,f705,f714]) ).
fof(f94,plain,
( e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f712,plain,
( spl15_11
| spl15_85
| spl15_86
| spl15_87 ),
inference(avatar_split_clause,[],[f316,f709,f705,f701,f367]) ).
fof(f316,plain,
( e0 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f699,plain,
( spl15_57
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f233,f581,f572]) ).
fof(f233,plain,
( ~ sP5
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f79]) ).
fof(f698,plain,
( spl15_83
| spl15_8
| ~ spl15_84
| spl15_70
| spl15_18 ),
inference(avatar_split_clause,[],[f270,f398,f634,f695,f354,f691]) ).
fof(f270,plain,
( op(e0,e0) = e2
| e2 = op(e3,e3)
| e1 != op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f689,plain,
( ~ spl15_53
| spl15_82 ),
inference(avatar_split_clause,[],[f257,f686,f554]) ).
fof(f257,plain,
( e3 = op(e0,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f684,plain,
( ~ spl15_80
| spl15_81 ),
inference(avatar_split_clause,[],[f263,f681,f676]) ).
fof(f263,plain,
( e2 = op(e2,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f84]) ).
fof(f679,plain,
( spl15_74
| spl15_75
| spl15_21
| spl15_76
| spl15_17
| ~ spl15_77
| spl15_78
| spl15_38
| spl15_79
| spl15_32
| spl15_80
| spl15_59
| spl15_53
| spl15_2
| spl15_67
| spl15_65 ),
inference(avatar_split_clause,[],[f279,f609,f618,f328,f554,f581,f676,f460,f672,f487,f668,f664,f393,f660,f411,f656,f652]) ).
fof(f279,plain,
( sP14
| sP8
| sP7
| sP1
| sP5
| sP0
| sP4
| sP9
| sP11
| sP10
| e3 != op(e0,op(e0,e3))
| sP2
| sP6
| sP12
| sP3
| sP13 ),
inference(cnf_transformation,[],[f69]) ).
fof(f650,plain,
( spl15_72
| spl15_6
| spl15_73
| spl15_68 ),
inference(avatar_split_clause,[],[f121,f623,f647,f345,f643]) ).
fof(f121,plain,
( e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e0)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f628,plain,
( ~ spl15_23
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f222,f328,f420]) ).
fof(f222,plain,
( ~ sP7
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f627,plain,
( ~ spl15_2
| spl15_3 ),
inference(avatar_split_clause,[],[f226,f333,f328]) ).
fof(f226,plain,
( e0 = op(e2,e0)
| ~ sP7 ),
inference(cnf_transformation,[],[f77]) ).
fof(f626,plain,
( spl15_68
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f225,f328,f623]) ).
fof(f225,plain,
( ~ sP7
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f621,plain,
( ~ spl15_66
| ~ spl15_67 ),
inference(avatar_split_clause,[],[f217,f618,f614]) ).
fof(f217,plain,
( ~ sP8
| e2 != op(e3,op(e3,e2)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f612,plain,
( spl15_7
| ~ spl15_65 ),
inference(avatar_split_clause,[],[f184,f609,f350]) ).
fof(f184,plain,
( ~ sP14
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f607,plain,
( spl15_14
| spl15_62
| spl15_63
| spl15_64 ),
inference(avatar_split_clause,[],[f117,f604,f600,f596,f379]) ).
fof(f117,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e2)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f594,plain,
( ~ spl15_16
| ~ spl15_61
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f296,f505,f591,f388]) ).
fof(f296,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f589,plain,
( ~ spl15_60
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f200,f487,f586]) ).
fof(f200,plain,
( ~ sP11
| e3 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f584,plain,
( ~ spl15_58
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f237,f581,f577]) ).
fof(f237,plain,
( ~ sP5
| e2 != op(e1,op(e1,e2)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f575,plain,
( spl15_55
| spl15_56
| ~ spl15_57
| spl15_14
| spl15_41 ),
inference(avatar_split_clause,[],[f289,f500,f379,f572,f568,f564]) ).
fof(f289,plain,
( e3 = op(e2,e2)
| e3 = op(e1,e1)
| e1 != op(e1,e3)
| op(e0,e0) = e3
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f562,plain,
( ~ spl15_21
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f191,f559,f411]) ).
fof(f191,plain,
( e1 != op(e1,op(e1,e1))
| ~ sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f548,plain,
( ~ spl15_35
| ~ spl15_50
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f298,f545,f541,f474]) ).
fof(f298,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f539,plain,
( spl15_42
| spl15_48
| spl15_49
| spl15_4 ),
inference(avatar_split_clause,[],[f96,f337,f536,f532,f505]) ).
fof(f96,plain,
( e0 = op(e1,e0)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f521,plain,
( spl15_8
| spl15_45
| spl15_14
| spl15_42 ),
inference(avatar_split_clause,[],[f313,f505,f379,f518,f354]) ).
fof(f313,plain,
( e0 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f516,plain,
( ~ spl15_42
| ~ spl15_43
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f175,f513,f509,f505]) ).
fof(f175,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f503,plain,
( spl15_39
| spl15_40
| spl15_41
| spl15_12 ),
inference(avatar_split_clause,[],[f104,f371,f500,f496,f492]) ).
fof(f104,plain,
( e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f490,plain,
( ~ spl15_37
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f197,f487,f483]) ).
fof(f197,plain,
( ~ sP11
| e1 != op(e3,op(e3,e1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f468,plain,
( ~ spl15_29
| ~ spl15_27
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f319,f465,f437,f446]) ).
fof(f319,plain,
( e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( op(e0,e0) != e1
| e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f454,plain,
( spl15_5
| spl15_20
| spl15_24
| spl15_30 ),
inference(avatar_split_clause,[],[f311,f451,f425,f406,f341]) ).
fof(f311,plain,
( e3 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f440,plain,
( spl15_24
| spl15_25
| spl15_26
| spl15_27 ),
inference(avatar_split_clause,[],[f100,f437,f433,f429,f425]) ).
fof(f100,plain,
( op(e0,e0) = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f418,plain,
( ~ spl15_21
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f193,f415,f411]) ).
fof(f193,plain,
( e3 != op(e1,op(e1,e3))
| ~ sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f409,plain,
( spl15_18
| spl15_10
| spl15_19
| spl15_20 ),
inference(avatar_split_clause,[],[f92,f406,f402,f362,f398]) ).
fof(f92,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f396,plain,
( spl15_5
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f253,f393,f341]) ).
fof(f253,plain,
( ~ sP2
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f391,plain,
( ~ spl15_15
| ~ spl15_8
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f294,f388,f354,f384]) ).
fof(f294,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f382,plain,
( spl15_11
| spl15_12
| spl15_13
| spl15_14 ),
inference(avatar_split_clause,[],[f93,f379,f375,f371,f367]) ).
fof(f93,plain,
( e3 = op(e1,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f365,plain,
( spl15_7
| spl15_8
| spl15_9
| spl15_10 ),
inference(avatar_split_clause,[],[f108,f362,f358,f354,f350]) ).
fof(f108,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f348,plain,
( spl15_3
| spl15_4
| spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f118,f345,f341,f337,f333]) ).
fof(f118,plain,
( e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG145+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:58:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % (29698)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57 % (29697)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57 % (29698)Instruction limit reached!
% 0.20/0.57 % (29698)------------------------------
% 0.20/0.57 % (29698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (29698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (29698)Termination reason: Unknown
% 0.20/0.57 % (29698)Termination phase: Naming
% 0.20/0.57
% 0.20/0.57 % (29698)Memory used [KB]: 1023
% 0.20/0.57 % (29698)Time elapsed: 0.005 s
% 0.20/0.57 % (29698)Instructions burned: 2 (million)
% 0.20/0.57 % (29698)------------------------------
% 0.20/0.57 % (29698)------------------------------
% 0.20/0.57 % (29713)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.57 % (29714)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.58 % (29706)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58 % (29705)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.58 % (29697)Instruction limit reached!
% 0.20/0.58 % (29697)------------------------------
% 0.20/0.58 % (29697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (29697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (29697)Termination reason: Unknown
% 0.20/0.58 % (29697)Termination phase: Property scanning
% 0.20/0.58
% 0.20/0.58 % (29697)Memory used [KB]: 1023
% 0.20/0.58 % (29697)Time elapsed: 0.006 s
% 0.20/0.58 % (29697)Instructions burned: 7 (million)
% 0.20/0.58 % (29697)------------------------------
% 0.20/0.58 % (29697)------------------------------
% 0.20/0.62 % (29700)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.63 % (29694)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.63 % (29693)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.63 % (29695)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.63 % (29718)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.63 % (29717)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.63 % (29711)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.96/0.64 % (29692)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.96/0.64 % (29703)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.64 % (29710)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.96/0.64 % (29709)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.64 % (29716)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.96/0.64 % (29699)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.65 % (29702)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.96/0.65 % (29719)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.96/0.65 % (29701)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.65 % (29712)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.96/0.65 % (29691)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.96/0.65 % (29715)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.17/0.65 % (29707)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.17/0.66 % (29708)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.17/0.66 % (29690)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.17/0.66 % (29704)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.17/0.67 % (29696)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.17/0.67 % (29705)Instruction limit reached!
% 2.17/0.67 % (29705)------------------------------
% 2.17/0.67 % (29705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.67 % (29705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.67 % (29705)Termination reason: Unknown
% 2.17/0.67 % (29705)Termination phase: Saturation
% 2.17/0.67
% 2.17/0.67 % (29705)Memory used [KB]: 1535
% 2.17/0.67 % (29705)Time elapsed: 0.222 s
% 2.17/0.67 % (29705)Instructions burned: 75 (million)
% 2.17/0.67 % (29705)------------------------------
% 2.17/0.67 % (29705)------------------------------
% 2.36/0.70 % (29692)Instruction limit reached!
% 2.36/0.70 % (29692)------------------------------
% 2.36/0.70 % (29692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.70 TRYING [4]
% 2.36/0.71 TRYING [4]
% 2.36/0.71 % (29693)Instruction limit reached!
% 2.36/0.71 % (29693)------------------------------
% 2.36/0.71 % (29693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.71 % (29693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.71 % (29693)Termination reason: Unknown
% 2.36/0.71 % (29693)Termination phase: Saturation
% 2.36/0.71
% 2.36/0.71 % (29693)Memory used [KB]: 6652
% 2.36/0.71 % (29693)Time elapsed: 0.226 s
% 2.36/0.71 % (29693)Instructions burned: 51 (million)
% 2.36/0.71 % (29693)------------------------------
% 2.36/0.71 % (29693)------------------------------
% 2.36/0.71 TRYING [4]
% 2.36/0.71 % (29692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.71 % (29692)Termination reason: Unknown
% 2.36/0.71 % (29692)Termination phase: Saturation
% 2.36/0.71
% 2.36/0.71 % (29692)Memory used [KB]: 1279
% 2.36/0.71 % (29692)Time elapsed: 0.253 s
% 2.36/0.71 % (29692)Instructions burned: 37 (million)
% 2.36/0.71 % (29692)------------------------------
% 2.36/0.71 % (29692)------------------------------
% 2.36/0.72 % (29713)First to succeed.
% 2.71/0.72 % (29707)Instruction limit reached!
% 2.71/0.72 % (29707)------------------------------
% 2.71/0.72 % (29707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.72 % (29707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.72 % (29707)Termination reason: Unknown
% 2.71/0.72 % (29707)Termination phase: Finite model building SAT solving
% 2.71/0.72
% 2.71/0.72 % (29707)Memory used [KB]: 8187
% 2.71/0.72 % (29707)Time elapsed: 0.232 s
% 2.71/0.72 % (29707)Instructions burned: 59 (million)
% 2.71/0.72 % (29707)------------------------------
% 2.71/0.72 % (29707)------------------------------
% 2.71/0.72 % (29694)Instruction limit reached!
% 2.71/0.72 % (29694)------------------------------
% 2.71/0.72 % (29694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.72 % (29694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.72 % (29694)Termination reason: Unknown
% 2.71/0.72 % (29694)Termination phase: Saturation
% 2.71/0.72
% 2.71/0.72 % (29694)Memory used [KB]: 6268
% 2.71/0.72 % (29694)Time elapsed: 0.032 s
% 2.71/0.72 % (29694)Instructions burned: 52 (million)
% 2.71/0.72 % (29694)------------------------------
% 2.71/0.72 % (29694)------------------------------
% 2.71/0.72 % (29700)Instruction limit reached!
% 2.71/0.72 % (29700)------------------------------
% 2.71/0.72 % (29700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.72 % (29700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.72 % (29700)Termination reason: Unknown
% 2.71/0.72 % (29700)Termination phase: Saturation
% 2.71/0.72
% 2.71/0.72 % (29700)Memory used [KB]: 6908
% 2.71/0.72 % (29700)Time elapsed: 0.031 s
% 2.71/0.72 % (29700)Instructions burned: 51 (million)
% 2.71/0.72 % (29700)------------------------------
% 2.71/0.72 % (29700)------------------------------
% 2.71/0.72 % (29721)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.71/0.73 % (29696)Instruction limit reached!
% 2.71/0.73 % (29696)------------------------------
% 2.71/0.73 % (29696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.73 % (29696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.73 % (29696)Termination reason: Unknown
% 2.71/0.73 % (29696)Termination phase: Finite model building SAT solving
% 2.71/0.73
% 2.71/0.73 % (29696)Memory used [KB]: 8059
% 2.71/0.73 % (29696)Time elapsed: 0.287 s
% 2.71/0.73 % (29696)Instructions burned: 53 (million)
% 2.71/0.73 % (29696)------------------------------
% 2.71/0.73 % (29696)------------------------------
% 2.71/0.73 % (29695)Instruction limit reached!
% 2.71/0.73 % (29695)------------------------------
% 2.71/0.73 % (29695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.73 % (29695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.73 % (29695)Termination reason: Unknown
% 2.71/0.73 % (29695)Termination phase: Saturation
% 2.71/0.73
% 2.71/0.73 % (29695)Memory used [KB]: 6140
% 2.71/0.73 % (29695)Time elapsed: 0.255 s
% 2.71/0.73 % (29695)Instructions burned: 48 (million)
% 2.71/0.73 % (29695)------------------------------
% 2.71/0.73 % (29695)------------------------------
% 2.71/0.74 % (29691)Instruction limit reached!
% 2.71/0.74 % (29691)------------------------------
% 2.71/0.74 % (29691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.74 % (29691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.74 % (29691)Termination reason: Unknown
% 2.71/0.74 % (29691)Termination phase: Saturation
% 2.71/0.74
% 2.71/0.74 % (29691)Memory used [KB]: 6396
% 2.71/0.74 % (29691)Time elapsed: 0.027 s
% 2.71/0.74 % (29691)Instructions burned: 50 (million)
% 2.71/0.74 % (29691)------------------------------
% 2.71/0.74 % (29691)------------------------------
% 2.88/0.75 % (29699)Instruction limit reached!
% 2.88/0.75 % (29699)------------------------------
% 2.88/0.75 % (29699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.75 % (29699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.75 % (29699)Termination reason: Unknown
% 2.88/0.75 % (29699)Termination phase: Saturation
% 2.88/0.75
% 2.88/0.75 % (29699)Memory used [KB]: 1535
% 2.88/0.75 % (29699)Time elapsed: 0.244 s
% 2.88/0.75 % (29699)Instructions burned: 51 (million)
% 2.88/0.75 % (29699)------------------------------
% 2.88/0.75 % (29699)------------------------------
% 2.88/0.75 % (29706)Instruction limit reached!
% 2.88/0.75 % (29706)------------------------------
% 2.88/0.75 % (29706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.75 % (29706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.75 % (29706)Termination reason: Unknown
% 2.88/0.75 % (29706)Termination phase: Saturation
% 2.88/0.75
% 2.88/0.75 % (29706)Memory used [KB]: 6652
% 2.88/0.75 % (29706)Time elapsed: 0.289 s
% 2.88/0.75 % (29706)Instructions burned: 99 (million)
% 2.88/0.75 % (29706)------------------------------
% 2.88/0.75 % (29706)------------------------------
% 2.88/0.75 % (29714)Also succeeded, but the first one will report.
% 2.88/0.75 % (29716)Instruction limit reached!
% 2.88/0.75 % (29716)------------------------------
% 2.88/0.75 % (29716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.75 % (29713)Refutation found. Thanks to Tanya!
% 2.88/0.75 % SZS status Unsatisfiable for theBenchmark
% 2.88/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.88/0.76 % (29713)------------------------------
% 2.88/0.76 % (29713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.76 % (29713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.76 % (29713)Termination reason: Refutation
% 2.88/0.76
% 2.88/0.76 % (29713)Memory used [KB]: 7164
% 2.88/0.76 % (29713)Time elapsed: 0.126 s
% 2.88/0.76 % (29713)Instructions burned: 93 (million)
% 2.88/0.76 % (29713)------------------------------
% 2.88/0.76 % (29713)------------------------------
% 2.88/0.76 % (29689)Success in time 0.392 s
%------------------------------------------------------------------------------