TSTP Solution File: ALG058+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG058+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:25:24 EDT 2024
% Result : Theorem 2.67s 0.81s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 604
% Syntax : Number of formulae : 3397 ( 252 unt; 0 def)
% Number of atoms : 14464 (5896 equ)
% Maximal formula atoms : 450 ( 4 avg)
% Number of connectives : 19496 (8429 ~;9003 |;1621 &)
% ( 443 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 599 ( 597 usr; 598 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24684,plain,
$false,
inference(avatar_sat_refutation,[],[f1136,f1141,f1146,f1151,f1156,f1161,f1167,f1172,f1177,f1182,f1187,f1192,f1197,f1202,f1207,f1212,f1217,f1222,f1228,f1233,f1238,f1244,f1250,f1255,f1260,f1266,f1272,f1277,f1282,f1288,f1293,f1299,f1304,f1311,f1316,f1323,f1329,f1334,f1339,f1346,f1353,f1359,f1366,f1372,f1377,f1384,f1393,f1399,f1404,f1409,f1414,f1419,f1424,f1429,f1435,f1441,f1446,f1451,f1456,f1461,f1468,f1473,f1480,f1489,f1494,f1499,f1505,f1512,f1518,f1525,f1530,f1535,f1540,f1545,f1550,f1555,f1562,f1568,f1574,f1580,f1586,f1591,f1598,f1604,f1609,f1618,f1623,f1629,f1636,f1641,f1646,f1652,f1657,f1662,f1669,f1674,f1679,f1685,f1691,f1696,f1701,f1708,f1714,f1719,f1725,f1731,f1736,f1742,f1747,f1753,f1758,f1763,f1768,f1773,f1779,f1784,f1790,f1795,f1801,f1807,f1812,f1817,f1822,f1827,f1832,f1837,f1842,f1847,f1852,f1857,f1862,f1867,f1872,f1877,f1882,f1887,f1892,f1897,f1902,f1907,f1912,f1917,f1922,f1927,f1932,f1937,f1946,f1955,f1964,f1973,f1982,f1991,f2000,f2009,f2018,f2027,f2033,f2042,f2052,f2062,f2072,f2082,f2092,f2102,f2112,f2121,f2130,f2139,f2144,f2153,f2158,f2163,f2168,f2174,f2180,f2185,f2190,f2196,f2201,f2206,f2211,f2217,f2222,f2228,f2233,f2239,f2244,f2249,f2254,f2259,f2265,f2270,f2275,f2280,f2285,f2291,f2296,f2302,f2307,f2313,f2318,f2323,f2328,f2333,f2338,f2344,f2349,f2355,f2360,f2365,f2371,f2376,f2382,f2387,f2392,f2398,f2404,f2409,f2415,f2420,f2425,f2431,f2436,f2441,f2446,f2452,f2457,f2462,f2467,f2473,f2479,f2484,f2489,f2494,f2499,f2504,f2509,f2514,f2519,f2524,f2529,f2534,f2539,f2544,f2549,f2554,f2559,f2564,f2569,f2574,f2579,f2584,f2589,f2595,f2601,f2607,f2613,f2618,f2624,f2629,f2635,f2640,f2646,f2651,f2657,f2662,f2667,f2672,f2677,f2682,f2688,f2693,f2699,f2704,f2709,f2715,f2720,f2726,f2731,f2736,f2743,f2749,f2754,f2760,f2765,f2770,f2776,f2781,f2786,f2792,f2797,f2802,f2807,f2813,f2819,f2824,f2829,f2834,f2839,f2844,f2849,f2854,f2859,f2864,f2869,f2874,f2883,f2888,f2899,f2903,f2909,f2912,f2944,f2948,f2976,f2993,f3002,f3017,f3022,f3028,f3033,f3038,f3043,f3048,f3053,f3058,f3068,f3077,f3082,f3091,f3096,f3106,f3115,f3116,f3121,f3132,f3137,f3142,f3152,f3157,f3166,f3171,f3177,f3186,f3192,f3197,f3207,f3217,f3222,f3228,f3233,f3238,f3239,f3336,f3341,f3347,f3348,f3439,f3445,f3460,f3469,f3478,f3479,f3554,f3569,f3645,f3646,f3648,f3655,f3660,f3666,f3671,f3677,f3682,f3687,f3692,f3697,f3710,f3717,f3728,f3742,f3757,f3776,f3781,f3790,f3801,f3935,f3936,f3937,f3938,f3939,f3940,f3941,f3954,f3962,f3965,f4019,f4047,f4105,f4144,f4167,f4302,f4386,f4396,f4403,f4405,f4441,f4630,f4636,f4642,f4644,f4684,f4685,f4727,f4742,f4799,f4833,f4839,f4854,f4859,f4865,f4878,f4882,f4889,f4890,f4900,f4905,f4990,f5066,f5083,f5118,f5194,f5257,f5258,f5282,f5287,f5302,f5355,f5367,f5369,f5375,f5381,f5383,f5385,f5408,f5411,f5414,f5425,f5426,f5428,f5438,f5440,f5445,f5475,f5496,f5529,f5647,f5651,f5691,f5715,f5899,f5926,f5956,f5982,f6048,f6166,f6481,f6572,f6573,f6574,f6764,f6832,f6833,f6834,f6835,f6836,f6837,f6948,f7080,f7081,f7084,f7159,f7234,f7436,f7569,f7632,f7634,f7683,f7684,f7743,f7806,f7834,f7862,f7924,f7950,f8066,f8109,f8110,f8160,f8185,f8186,f8202,f8233,f8368,f8375,f8378,f8380,f8382,f8384,f8402,f8403,f8416,f8429,f8434,f8446,f8464,f8478,f8496,f8526,f8568,f8585,f8604,f8621,f8622,f8634,f8735,f8750,f8778,f8780,f8792,f8807,f8809,f8822,f8823,f8829,f8847,f8855,f8864,f8867,f8876,f8880,f8884,f8894,f8930,f8939,f8945,f8947,f8959,f8965,f8967,f8968,f8970,f8971,f8972,f8973,f8974,f8975,f8976,f8977,f8978,f8979,f8980,f8990,f8991,f8995,f9019,f9022,f9027,f9033,f9035,f9531,f9532,f9533,f9534,f9535,f9536,f9537,f9567,f9675,f10046,f10462,f10568,f10574,f10580,f10582,f10853,f10861,f11147,f11190,f11321,f11385,f11523,f11603,f11608,f11614,f11620,f11621,f11624,f11641,f11651,f11657,f11660,f11667,f11669,f11672,f11688,f11727,f11733,f11750,f11775,f11850,f11878,f11888,f11897,f11903,f11904,f11925,f11931,f11934,f11940,f11942,f11945,f11978,f12074,f12178,f12240,f12345,f12454,f12630,f12669,f12670,f12697,f12698,f12729,f12733,f12737,f12744,f12749,f12752,f12758,f12760,f12775,f12882,f12891,f13023,f13083,f13187,f13196,f13197,f13206,f13213,f13216,f13220,f13222,f13307,f13319,f13358,f13364,f13365,f13366,f13369,f13383,f13433,f13504,f13588,f13823,f13930,f13931,f14148,f14193,f14926,f14962,f14996,f15377,f15387,f15393,f15411,f15452,f15482,f15487,f15495,f15768,f15773,f16089,f16269,f16382,f16480,f16511,f16627,f16684,f16742,f16945,f17030,f17079,f17252,f17262,f17380,f17473,f17499,f17593,f17685,f17700,f17864,f17944,f18036,f18136,f18233,f18287,f18323,f18336,f18386,f18409,f18480,f18545,f18625,f18673,f18725,f18763,f18780,f18786,f18788,f18790,f18808,f18815,f18821,f18825,f18830,f18835,f18838,f18841,f18847,f18853,f18856,f19138,f19140,f19153,f19163,f19312,f19313,f19352,f19421,f19842,f20093,f20454,f20774,f20812,f20833,f20842,f20849,f20874,f20883,f20902,f20928,f21010,f21075,f21124,f21155,f21160,f21231,f21279,f21622,f21813,f21824,f21867,f21869,f21946,f21965,f22023,f22025,f22126,f22130,f22145,f22151,f22165,f22178,f22189,f22193,f22212,f22242,f22250,f22252,f22259,f22271,f22339,f22375,f22445,f22449,f22481,f22587,f22629,f22677,f22684,f22733,f22738,f22753,f22786,f22905,f22979,f23014,f23086,f23120,f23124,f23149,f23152,f23166,f23240,f23275,f23316,f23336,f23445,f23451,f23462,f23464,f23538,f23638,f23646,f23663,f23668,f23715,f23788,f23815,f23817,f23824,f23840,f23845,f23847,f23849,f23851,f23880,f23891,f23898,f23936,f23944,f24262,f24380,f24540,f24543,f24544,f24674,f24683]) ).
fof(f24683,plain,
( ~ spl154_431
| spl154_281
| ~ spl154_388 ),
inference(avatar_split_clause,[],[f17934,f3657,f2598,f11937]) ).
fof(f11937,plain,
( spl154_431
<=> op(e1,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_431])]) ).
fof(f2598,plain,
( spl154_281
<=> op(e1,e0) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_281])]) ).
fof(f3657,plain,
( spl154_388
<=> op(e1,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_388])]) ).
fof(f17934,plain,
( op(e1,e0) != unit
| spl154_281
| ~ spl154_388 ),
inference(forward_demodulation,[],[f2600,f3658]) ).
fof(f3658,plain,
( op(e1,e2) = unit
| ~ spl154_388 ),
inference(avatar_component_clause,[],[f3657]) ).
fof(f2600,plain,
( op(e1,e0) != op(e1,e2)
| spl154_281 ),
inference(avatar_component_clause,[],[f2598]) ).
fof(f24674,plain,
( ~ spl154_136
| ~ spl154_421
| spl154_436 ),
inference(avatar_split_clause,[],[f21857,f13210,f8844,f1864]) ).
fof(f1864,plain,
( spl154_136
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_136])]) ).
fof(f8844,plain,
( spl154_421
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_421])]) ).
fof(f13210,plain,
( spl154_436
<=> op(e0,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_436])]) ).
fof(f21857,plain,
( e3 != unit
| ~ spl154_421
| spl154_436 ),
inference(superposition,[],[f13211,f8846]) ).
fof(f8846,plain,
( e3 = op(e0,e3)
| ~ spl154_421 ),
inference(avatar_component_clause,[],[f8844]) ).
fof(f13211,plain,
( op(e0,e3) != unit
| spl154_436 ),
inference(avatar_component_clause,[],[f13210]) ).
fof(f24544,plain,
( ~ spl154_333
| spl154_295
| ~ spl154_345
| ~ spl154_439 ),
inference(avatar_split_clause,[],[f20385,f18812,f3061,f2674,f2876]) ).
fof(f2876,plain,
( spl154_333
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_333])]) ).
fof(f2674,plain,
( spl154_295
<=> op(e2,e0) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_295])]) ).
fof(f3061,plain,
( spl154_345
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_345])]) ).
fof(f18812,plain,
( spl154_439
<=> op(e2,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_439])]) ).
fof(f20385,plain,
( e4 != unit
| spl154_295
| ~ spl154_345
| ~ spl154_439 ),
inference(forward_demodulation,[],[f5317,f18814]) ).
fof(f18814,plain,
( op(e2,e0) = unit
| ~ spl154_439 ),
inference(avatar_component_clause,[],[f18812]) ).
fof(f5317,plain,
( e4 != op(e2,e0)
| spl154_295
| ~ spl154_345 ),
inference(superposition,[],[f2676,f3062]) ).
fof(f3062,plain,
( e4 = op(e2,e1)
| ~ spl154_345 ),
inference(avatar_component_clause,[],[f3061]) ).
fof(f2676,plain,
( op(e2,e0) != op(e2,e1)
| spl154_295 ),
inference(avatar_component_clause,[],[f2674]) ).
fof(f24543,plain,
( ~ spl154_40
| spl154_127
| ~ spl154_283 ),
inference(avatar_split_clause,[],[f23915,f2610,f1819,f1320]) ).
fof(f1320,plain,
( spl154_40
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_40])]) ).
fof(f1819,plain,
( spl154_127
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_127])]) ).
fof(f2610,plain,
( spl154_283
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_283])]) ).
fof(f23915,plain,
( e0 = e3
| ~ sP33
| ~ spl154_283 ),
inference(trivial_inequality_removal,[],[f23914]) ).
fof(f23914,plain,
( e1 != e1
| e0 = e3
| ~ sP33
| ~ spl154_283 ),
inference(forward_demodulation,[],[f1347,f2611]) ).
fof(f2611,plain,
( e1 = op(e1,e3)
| ~ spl154_283 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f1347,plain,
( e0 = e3
| e1 != op(e1,e3)
| ~ sP33 ),
inference(forward_demodulation,[],[f698,f1097]) ).
fof(f1097,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[],[f1096,f1095]) ).
fof(f1095,plain,
e1 = op(e3,e2),
inference(forward_demodulation,[],[f892,f893]) ).
fof(f893,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e4 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f892,plain,
e1 = op(op(e2,e2),e2),
inference(cnf_transformation,[],[f6]) ).
fof(f1096,plain,
e0 = op(op(e3,e2),op(e3,e2)),
inference(forward_demodulation,[],[f891,f893]) ).
fof(f891,plain,
e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f698,plain,
( e3 = op(e1,e1)
| e1 != op(e1,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3)
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3)
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f24540,plain,
( spl154_135
| ~ spl154_147
| ~ spl154_333
| ~ spl154_374
| ~ spl154_421
| ~ spl154_422 ),
inference(avatar_split_clause,[],[f24534,f8869,f8844,f3210,f2876,f1919,f1859]) ).
fof(f1859,plain,
( spl154_135
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_135])]) ).
fof(f1919,plain,
( spl154_147
<=> e4 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_147])]) ).
fof(f3210,plain,
( spl154_374
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_374])]) ).
fof(f8869,plain,
( spl154_422
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_422])]) ).
fof(f24534,plain,
( e0 = unit
| ~ spl154_147
| ~ spl154_333
| ~ spl154_374
| ~ spl154_421
| ~ spl154_422 ),
inference(forward_demodulation,[],[f23861,f19168]) ).
fof(f19168,plain,
( unit = op(unit,unit)
| ~ spl154_147
| ~ spl154_333 ),
inference(superposition,[],[f1921,f2877]) ).
fof(f2877,plain,
( e4 = unit
| ~ spl154_333 ),
inference(avatar_component_clause,[],[f2876]) ).
fof(f1921,plain,
( e4 = op(e4,unit)
| ~ spl154_147 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f23861,plain,
( e0 = op(unit,unit)
| ~ spl154_333
| ~ spl154_374
| ~ spl154_421
| ~ spl154_422 ),
inference(forward_demodulation,[],[f23860,f23855]) ).
fof(f23855,plain,
( e3 = unit
| ~ spl154_333
| ~ spl154_421
| ~ spl154_422 ),
inference(forward_demodulation,[],[f23854,f2877]) ).
fof(f23854,plain,
( e3 = e4
| ~ spl154_421
| ~ spl154_422 ),
inference(forward_demodulation,[],[f8871,f8846]) ).
fof(f8871,plain,
( e4 = op(e0,e3)
| ~ spl154_422 ),
inference(avatar_component_clause,[],[f8869]) ).
fof(f23860,plain,
( e0 = op(e3,unit)
| ~ spl154_333
| ~ spl154_374 ),
inference(forward_demodulation,[],[f3211,f2877]) ).
fof(f3211,plain,
( e0 = op(e3,e4)
| ~ spl154_374 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f24380,plain,
( spl154_334
| ~ spl154_193
| ~ spl154_428 ),
inference(avatar_split_clause,[],[f22584,f11900,f2136,f2880]) ).
fof(f2880,plain,
( spl154_334
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_334])]) ).
fof(f2136,plain,
( spl154_193
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_193])]) ).
fof(f11900,plain,
( spl154_428
<=> op(e0,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_428])]) ).
fof(f22584,plain,
( e2 = unit
| ~ spl154_193
| ~ spl154_428 ),
inference(forward_demodulation,[],[f2138,f11901]) ).
fof(f11901,plain,
( op(e0,e0) = unit
| ~ spl154_428 ),
inference(avatar_component_clause,[],[f11900]) ).
fof(f2138,plain,
( op(e0,e0) = e2
| ~ spl154_193 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f24262,plain,
( spl154_136
| ~ spl154_333
| ~ spl154_352
| ~ spl154_360 ),
inference(avatar_split_clause,[],[f21939,f3139,f3093,f2876,f1864]) ).
fof(f3093,plain,
( spl154_352
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_352])]) ).
fof(f3139,plain,
( spl154_360
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_360])]) ).
fof(f21939,plain,
( e3 = unit
| ~ spl154_333
| ~ spl154_352
| ~ spl154_360 ),
inference(forward_demodulation,[],[f3140,f20822]) ).
fof(f20822,plain,
( op(e1,e0) = unit
| ~ spl154_333
| ~ spl154_352 ),
inference(forward_demodulation,[],[f3094,f2877]) ).
fof(f3094,plain,
( e4 = op(e1,e0)
| ~ spl154_352 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f3140,plain,
( e3 = op(e1,e0)
| ~ spl154_360 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f23944,plain,
( spl154_135
| ~ spl154_147
| ~ spl154_158
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f23943,f2876,f1970,f1919,f1859]) ).
fof(f1970,plain,
( spl154_158
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_158])]) ).
fof(f23943,plain,
( e0 = unit
| ~ spl154_147
| ~ spl154_158
| ~ spl154_333 ),
inference(forward_demodulation,[],[f23942,f19168]) ).
fof(f23942,plain,
( e0 = op(unit,unit)
| ~ spl154_158
| ~ spl154_333 ),
inference(forward_demodulation,[],[f1972,f2877]) ).
fof(f1972,plain,
( e0 = op(e4,e4)
| ~ spl154_158 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f23936,plain,
( ~ spl154_188
| spl154_135
| ~ spl154_147
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f23913,f2876,f1919,f1859,f2114]) ).
fof(f2114,plain,
( spl154_188
<=> sP134 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_188])]) ).
fof(f23913,plain,
( e0 = unit
| ~ sP134
| ~ spl154_147
| ~ spl154_333 ),
inference(forward_demodulation,[],[f23912,f19168]) ).
fof(f23912,plain,
( e0 = op(unit,unit)
| ~ sP134
| ~ spl154_333 ),
inference(forward_demodulation,[],[f377,f2877]) ).
fof(f377,plain,
( e0 = op(e4,e4)
| ~ sP134 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP134 ),
inference(nnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f23898,plain,
( spl154_127
| ~ spl154_139
| ~ spl154_333
| ~ spl154_336 ),
inference(avatar_split_clause,[],[f23890,f3014,f2876,f1879,f1819]) ).
fof(f1879,plain,
( spl154_139
<=> e0 = op(e0,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_139])]) ).
fof(f3014,plain,
( spl154_336
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_336])]) ).
fof(f23890,plain,
( e0 = e3
| ~ spl154_139
| ~ spl154_333
| ~ spl154_336 ),
inference(forward_demodulation,[],[f23889,f1881]) ).
fof(f1881,plain,
( e0 = op(e0,unit)
| ~ spl154_139 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f23889,plain,
( e3 = op(e0,unit)
| ~ spl154_333
| ~ spl154_336 ),
inference(forward_demodulation,[],[f3015,f2877]) ).
fof(f3015,plain,
( e3 = op(e0,e4)
| ~ spl154_336 ),
inference(avatar_component_clause,[],[f3014]) ).
fof(f23891,plain,
( spl154_283
| spl154_130
| spl154_125
| spl154_137
| ~ spl154_160
| ~ spl154_333
| ~ spl154_376
| ~ spl154_416
| ~ spl154_422 ),
inference(avatar_split_clause,[],[f23885,f8869,f5644,f3219,f2876,f1979,f1869,f1809,f1834,f2610]) ).
fof(f1834,plain,
( spl154_130
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_130])]) ).
fof(f1809,plain,
( spl154_125
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_125])]) ).
fof(f1869,plain,
( spl154_137
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_137])]) ).
fof(f1979,plain,
( spl154_160
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_160])]) ).
fof(f3219,plain,
( spl154_376
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_376])]) ).
fof(f5644,plain,
( spl154_416
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_416])]) ).
fof(f23885,plain,
( e1 = unit
| e0 = e1
| e1 = e3
| e1 = op(e1,e3)
| ~ spl154_160
| ~ spl154_333
| ~ spl154_376
| ~ spl154_416
| ~ spl154_422 ),
inference(duplicate_literal_removal,[],[f23884]) ).
fof(f23884,plain,
( e1 = unit
| e0 = e1
| e1 = unit
| e1 = e3
| e1 = op(e1,e3)
| ~ spl154_160
| ~ spl154_333
| ~ spl154_376
| ~ spl154_416
| ~ spl154_422 ),
inference(forward_demodulation,[],[f23058,f23882]) ).
fof(f23882,plain,
( op(e0,e3) = unit
| ~ spl154_333
| ~ spl154_422 ),
inference(forward_demodulation,[],[f8871,f2877]) ).
fof(f23058,plain,
( e0 = e1
| e1 = unit
| e1 = e3
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_333
| ~ spl154_376
| ~ spl154_416 ),
inference(forward_demodulation,[],[f19342,f3220]) ).
fof(f3220,plain,
( e0 = op(e2,e3)
| ~ spl154_376 ),
inference(avatar_component_clause,[],[f3219]) ).
fof(f19342,plain,
( e1 = unit
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_333
| ~ spl154_416 ),
inference(forward_demodulation,[],[f9163,f2877]) ).
fof(f9163,plain,
( e1 = e4
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7927,f1981]) ).
fof(f1981,plain,
( e4 = op(e3,e3)
| ~ spl154_160 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f7927,plain,
( e1 = e3
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_416 ),
inference(forward_demodulation,[],[f928,f5646]) ).
fof(f5646,plain,
( e3 = op(e4,e3)
| ~ spl154_416 ),
inference(avatar_component_clause,[],[f5644]) ).
fof(f928,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f23880,plain,
( spl154_136
| ~ spl154_333
| ~ spl154_421
| ~ spl154_422 ),
inference(avatar_split_clause,[],[f23855,f8869,f8844,f2876,f1864]) ).
fof(f23851,plain,
( spl154_400
| ~ spl154_187
| ~ spl154_388
| ~ spl154_428 ),
inference(avatar_split_clause,[],[f23848,f11900,f3657,f2109,f4383]) ).
fof(f4383,plain,
( spl154_400
<=> unit = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_400])]) ).
fof(f2109,plain,
( spl154_187
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_187])]) ).
fof(f23848,plain,
( unit = op(unit,e2)
| ~ spl154_187
| ~ spl154_388
| ~ spl154_428 ),
inference(forward_demodulation,[],[f3658,f22256]) ).
fof(f22256,plain,
( e1 = unit
| ~ spl154_187
| ~ spl154_428 ),
inference(superposition,[],[f11901,f2111]) ).
fof(f2111,plain,
( op(e0,e0) = e1
| ~ spl154_187 ),
inference(avatar_component_clause,[],[f2109]) ).
fof(f23849,plain,
( spl154_391
| ~ spl154_333
| ~ spl154_345 ),
inference(avatar_split_clause,[],[f23809,f3061,f2876,f3674]) ).
fof(f3674,plain,
( spl154_391
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_391])]) ).
fof(f23809,plain,
( op(e2,e1) = unit
| ~ spl154_333
| ~ spl154_345 ),
inference(forward_demodulation,[],[f3062,f2877]) ).
fof(f23847,plain,
( spl154_388
| ~ spl154_333
| ~ spl154_350 ),
inference(avatar_split_clause,[],[f23806,f3084,f2876,f3657]) ).
fof(f3084,plain,
( spl154_350
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_350])]) ).
fof(f23806,plain,
( op(e1,e2) = unit
| ~ spl154_333
| ~ spl154_350 ),
inference(forward_demodulation,[],[f3085,f2877]) ).
fof(f3085,plain,
( e4 = op(e1,e2)
| ~ spl154_350 ),
inference(avatar_component_clause,[],[f3084]) ).
fof(f23845,plain,
( ~ spl154_438
| ~ spl154_333
| spl154_348 ),
inference(avatar_split_clause,[],[f23786,f3074,f2876,f18783]) ).
fof(f18783,plain,
( spl154_438
<=> e0 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_438])]) ).
fof(f3074,plain,
( spl154_348
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_348])]) ).
fof(f23786,plain,
( e0 != op(e2,unit)
| ~ spl154_333
| spl154_348 ),
inference(forward_demodulation,[],[f3075,f2877]) ).
fof(f3075,plain,
( e0 != op(e2,e4)
| spl154_348 ),
inference(avatar_component_clause,[],[f3074]) ).
fof(f23840,plain,
( spl154_428
| ~ spl154_189
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f23450,f2876,f2118,f11900]) ).
fof(f2118,plain,
( spl154_189
<=> op(e0,e0) = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_189])]) ).
fof(f23450,plain,
( op(e0,e0) = unit
| ~ spl154_189
| ~ spl154_333 ),
inference(forward_demodulation,[],[f2120,f2877]) ).
fof(f2120,plain,
( op(e0,e0) = e4
| ~ spl154_189 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f23824,plain,
( ~ spl154_333
| ~ spl154_345
| spl154_391 ),
inference(avatar_split_clause,[],[f5320,f3674,f3061,f2876]) ).
fof(f5320,plain,
( e4 != unit
| ~ spl154_345
| spl154_391 ),
inference(superposition,[],[f3676,f3062]) ).
fof(f3676,plain,
( op(e2,e1) != unit
| spl154_391 ),
inference(avatar_component_clause,[],[f3674]) ).
fof(f23817,plain,
( spl154_427
| ~ spl154_333
| ~ spl154_423 ),
inference(avatar_split_clause,[],[f22729,f8873,f2876,f11875]) ).
fof(f11875,plain,
( spl154_427
<=> unit = op(e0,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_427])]) ).
fof(f8873,plain,
( spl154_423
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_423])]) ).
fof(f22729,plain,
( unit = op(e0,unit)
| ~ spl154_333
| ~ spl154_423 ),
inference(forward_demodulation,[],[f8875,f2877]) ).
fof(f8875,plain,
( e4 = op(e0,e4)
| ~ spl154_423 ),
inference(avatar_component_clause,[],[f8873]) ).
fof(f23815,plain,
( ~ spl154_400
| ~ spl154_333
| spl154_383 ),
inference(avatar_split_clause,[],[f20405,f3442,f2876,f4383]) ).
fof(f3442,plain,
( spl154_383
<=> e4 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_383])]) ).
fof(f20405,plain,
( unit != op(unit,e2)
| ~ spl154_333
| spl154_383 ),
inference(forward_demodulation,[],[f3443,f2877]) ).
fof(f3443,plain,
( e4 != op(unit,e2)
| spl154_383 ),
inference(avatar_component_clause,[],[f3442]) ).
fof(f23788,plain,
( spl154_137
| ~ spl154_140
| ~ spl154_199
| ~ spl154_333
| ~ spl154_345
| ~ spl154_393 ),
inference(avatar_split_clause,[],[f23722,f3684,f3061,f2876,f2165,f1884,f1869]) ).
fof(f1884,plain,
( spl154_140
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_140])]) ).
fof(f2165,plain,
( spl154_199
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_199])]) ).
fof(f3684,plain,
( spl154_393
<=> op(e3,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_393])]) ).
fof(f23722,plain,
( e1 = unit
| ~ spl154_140
| ~ spl154_199
| ~ spl154_333
| ~ spl154_345
| ~ spl154_393 ),
inference(forward_demodulation,[],[f23721,f2877]) ).
fof(f23721,plain,
( e1 = e4
| ~ spl154_140
| ~ spl154_199
| ~ spl154_345
| ~ spl154_393 ),
inference(forward_demodulation,[],[f23720,f1886]) ).
fof(f1886,plain,
( e1 = op(unit,e1)
| ~ spl154_140 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f23720,plain,
( e4 = op(unit,e1)
| ~ spl154_199
| ~ spl154_345
| ~ spl154_393 ),
inference(forward_demodulation,[],[f3062,f23640]) ).
fof(f23640,plain,
( e2 = unit
| ~ spl154_199
| ~ spl154_393 ),
inference(superposition,[],[f2167,f3685]) ).
fof(f3685,plain,
( op(e3,e1) = unit
| ~ spl154_393 ),
inference(avatar_component_clause,[],[f3684]) ).
fof(f2167,plain,
( e2 = op(e3,e1)
| ~ spl154_199 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f23715,plain,
( spl154_136
| ~ spl154_143
| ~ spl154_333
| ~ spl154_350
| ~ spl154_360
| ~ spl154_438 ),
inference(avatar_split_clause,[],[f23700,f18783,f3139,f3084,f2876,f1899,f1864]) ).
fof(f1899,plain,
( spl154_143
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_143])]) ).
fof(f23700,plain,
( e3 = unit
| ~ spl154_143
| ~ spl154_333
| ~ spl154_350
| ~ spl154_360
| ~ spl154_438 ),
inference(forward_demodulation,[],[f23699,f2877]) ).
fof(f23699,plain,
( e3 = e4
| ~ spl154_143
| ~ spl154_350
| ~ spl154_360
| ~ spl154_438 ),
inference(forward_demodulation,[],[f23698,f3140]) ).
fof(f23698,plain,
( e4 = op(e1,e0)
| ~ spl154_143
| ~ spl154_350
| ~ spl154_438 ),
inference(forward_demodulation,[],[f3085,f23441]) ).
fof(f23441,plain,
( e0 = e2
| ~ spl154_143
| ~ spl154_438 ),
inference(superposition,[],[f18784,f1901]) ).
fof(f1901,plain,
( e2 = op(e2,unit)
| ~ spl154_143 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f18784,plain,
( e0 = op(e2,unit)
| ~ spl154_438 ),
inference(avatar_component_clause,[],[f18783]) ).
fof(f23668,plain,
( ~ spl154_6
| spl154_135
| ~ spl154_187
| ~ spl154_333
| ~ spl154_355 ),
inference(avatar_split_clause,[],[f23657,f3108,f2876,f2109,f1859,f1138]) ).
fof(f1138,plain,
( spl154_6
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_6])]) ).
fof(f3108,plain,
( spl154_355
<=> e4 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_355])]) ).
fof(f23657,plain,
( e0 = unit
| ~ sP25
| ~ spl154_187
| ~ spl154_333
| ~ spl154_355 ),
inference(trivial_inequality_removal,[],[f23656]) ).
fof(f23656,plain,
( e1 != e1
| e0 = unit
| ~ sP25
| ~ spl154_187
| ~ spl154_333
| ~ spl154_355 ),
inference(forward_demodulation,[],[f23655,f2111]) ).
fof(f23655,plain,
( e0 = unit
| op(e0,e0) != e1
| ~ sP25
| ~ spl154_333
| ~ spl154_355 ),
inference(forward_demodulation,[],[f17494,f2877]) ).
fof(f17494,plain,
( e0 = e4
| op(e0,e0) != e1
| ~ sP25
| ~ spl154_355 ),
inference(forward_demodulation,[],[f714,f3109]) ).
fof(f3109,plain,
( e4 = op(e0,e1)
| ~ spl154_355 ),
inference(avatar_component_clause,[],[f3108]) ).
fof(f714,plain,
( e0 = op(e0,e1)
| op(e0,e0) != e1
| ~ sP25 ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f23663,plain,
( spl154_137
| ~ spl154_143
| ~ spl154_333
| ~ spl154_355
| ~ spl154_407
| ~ spl154_438 ),
inference(avatar_split_clause,[],[f23660,f18783,f4847,f3108,f2876,f1899,f1869]) ).
fof(f4847,plain,
( spl154_407
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_407])]) ).
fof(f23660,plain,
( e1 = unit
| ~ spl154_143
| ~ spl154_333
| ~ spl154_355
| ~ spl154_407
| ~ spl154_438 ),
inference(forward_demodulation,[],[f23659,f2877]) ).
fof(f23659,plain,
( e1 = e4
| ~ spl154_143
| ~ spl154_355
| ~ spl154_407
| ~ spl154_438 ),
inference(forward_demodulation,[],[f3109,f23599]) ).
fof(f23599,plain,
( e1 = op(e0,e1)
| ~ spl154_143
| ~ spl154_407
| ~ spl154_438 ),
inference(forward_demodulation,[],[f4849,f23441]) ).
fof(f4849,plain,
( e1 = op(e2,e1)
| ~ spl154_407 ),
inference(avatar_component_clause,[],[f4847]) ).
fof(f23646,plain,
( ~ spl154_140
| ~ spl154_333
| spl154_408 ),
inference(avatar_split_clause,[],[f20751,f4851,f2876,f1884]) ).
fof(f4851,plain,
( spl154_408
<=> e1 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_408])]) ).
fof(f20751,plain,
( e1 != op(unit,e1)
| ~ spl154_333
| spl154_408 ),
inference(forward_demodulation,[],[f4852,f2877]) ).
fof(f4852,plain,
( e1 != op(e4,e1)
| spl154_408 ),
inference(avatar_component_clause,[],[f4851]) ).
fof(f23638,plain,
( spl154_393
| ~ spl154_142
| ~ spl154_199
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f6056,f4383,f2165,f1894,f3684]) ).
fof(f1894,plain,
( spl154_142
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_142])]) ).
fof(f6056,plain,
( op(e3,e1) = unit
| ~ spl154_142
| ~ spl154_199
| ~ spl154_400 ),
inference(forward_demodulation,[],[f2167,f5352]) ).
fof(f5352,plain,
( e2 = unit
| ~ spl154_142
| ~ spl154_400 ),
inference(superposition,[],[f4385,f1896]) ).
fof(f1896,plain,
( e2 = op(unit,e2)
| ~ spl154_142 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f4385,plain,
( unit = op(unit,e2)
| ~ spl154_400 ),
inference(avatar_component_clause,[],[f4383]) ).
fof(f23538,plain,
( spl154_137
| ~ spl154_391
| ~ spl154_407 ),
inference(avatar_split_clause,[],[f21006,f4847,f3674,f1869]) ).
fof(f21006,plain,
( e1 = unit
| ~ spl154_391
| ~ spl154_407 ),
inference(forward_demodulation,[],[f4849,f3675]) ).
fof(f3675,plain,
( op(e2,e1) = unit
| ~ spl154_391 ),
inference(avatar_component_clause,[],[f3674]) ).
fof(f23464,plain,
( spl154_400
| ~ spl154_333
| ~ spl154_340 ),
inference(avatar_split_clause,[],[f22454,f3035,f2876,f4383]) ).
fof(f3035,plain,
( spl154_340
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_340])]) ).
fof(f22454,plain,
( unit = op(unit,e2)
| ~ spl154_333
| ~ spl154_340 ),
inference(forward_demodulation,[],[f3036,f2877]) ).
fof(f3036,plain,
( e4 = op(e4,e2)
| ~ spl154_340 ),
inference(avatar_component_clause,[],[f3035]) ).
fof(f23462,plain,
( ~ spl154_378
| spl154_247
| ~ spl154_376 ),
inference(avatar_split_clause,[],[f22236,f3219,f2422,f3230]) ).
fof(f3230,plain,
( spl154_378
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_378])]) ).
fof(f2422,plain,
( spl154_247
<=> op(e0,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_247])]) ).
fof(f22236,plain,
( e0 != op(e0,e3)
| spl154_247
| ~ spl154_376 ),
inference(forward_demodulation,[],[f2424,f3220]) ).
fof(f2424,plain,
( op(e0,e3) != op(e2,e3)
| spl154_247 ),
inference(avatar_component_clause,[],[f2422]) ).
fof(f23451,plain,
( spl154_127
| ~ spl154_144
| ~ spl154_437 ),
inference(avatar_split_clause,[],[f22243,f15484,f1904,f1819]) ).
fof(f1904,plain,
( spl154_144
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_144])]) ).
fof(f15484,plain,
( spl154_437
<=> e0 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_437])]) ).
fof(f22243,plain,
( e0 = e3
| ~ spl154_144
| ~ spl154_437 ),
inference(superposition,[],[f15486,f1906]) ).
fof(f1906,plain,
( e3 = op(unit,e3)
| ~ spl154_144 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f15486,plain,
( e0 = op(unit,e3)
| ~ spl154_437 ),
inference(avatar_component_clause,[],[f15484]) ).
fof(f23445,plain,
( ~ spl154_138
| ~ spl154_333
| spl154_411 ),
inference(avatar_split_clause,[],[f21827,f4875,f2876,f1874]) ).
fof(f1874,plain,
( spl154_138
<=> e0 = op(unit,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_138])]) ).
fof(f4875,plain,
( spl154_411
<=> e0 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_411])]) ).
fof(f21827,plain,
( e0 != op(unit,e0)
| ~ spl154_333
| spl154_411 ),
inference(forward_demodulation,[],[f4876,f2877]) ).
fof(f4876,plain,
( e0 != op(e4,e0)
| spl154_411 ),
inference(avatar_component_clause,[],[f4875]) ).
fof(f23336,plain,
( spl154_132
| ~ spl154_360
| ~ spl154_366 ),
inference(avatar_split_clause,[],[f23334,f3168,f3139,f1844]) ).
fof(f1844,plain,
( spl154_132
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_132])]) ).
fof(f3168,plain,
( spl154_366
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_366])]) ).
fof(f23334,plain,
( e2 = e3
| ~ spl154_360
| ~ spl154_366 ),
inference(forward_demodulation,[],[f3169,f3140]) ).
fof(f3169,plain,
( e2 = op(e1,e0)
| ~ spl154_366 ),
inference(avatar_component_clause,[],[f3168]) ).
fof(f23316,plain,
( spl154_126
| ~ spl154_338
| ~ spl154_410 ),
inference(avatar_split_clause,[],[f23311,f4871,f3025,f1814]) ).
fof(f1814,plain,
( spl154_126
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_126])]) ).
fof(f3025,plain,
( spl154_338
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_338])]) ).
fof(f4871,plain,
( spl154_410
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_410])]) ).
fof(f23311,plain,
( e0 = e2
| ~ spl154_338
| ~ spl154_410 ),
inference(superposition,[],[f4873,f3026]) ).
fof(f3026,plain,
( e2 = op(e3,e0)
| ~ spl154_338 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f4873,plain,
( e0 = op(e3,e0)
| ~ spl154_410 ),
inference(avatar_component_clause,[],[f4871]) ).
fof(f23275,plain,
( spl154_135
| ~ spl154_410
| ~ spl154_443 ),
inference(avatar_split_clause,[],[f23269,f22247,f4871,f1859]) ).
fof(f22247,plain,
( spl154_443
<=> op(e3,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_443])]) ).
fof(f23269,plain,
( e0 = unit
| ~ spl154_410
| ~ spl154_443 ),
inference(forward_demodulation,[],[f4873,f22249]) ).
fof(f22249,plain,
( op(e3,e0) = unit
| ~ spl154_443 ),
inference(avatar_component_clause,[],[f22247]) ).
fof(f23240,plain,
( spl154_126
| ~ spl154_149
| ~ spl154_187
| ~ spl154_367
| ~ spl154_424 ),
inference(avatar_split_clause,[],[f23204,f8956,f3174,f2109,f1929,f1814]) ).
fof(f1929,plain,
( spl154_149
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_149])]) ).
fof(f3174,plain,
( spl154_367
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_367])]) ).
fof(f8956,plain,
( spl154_424
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_424])]) ).
fof(f23204,plain,
( e0 = e2
| ~ spl154_149
| ~ spl154_187
| ~ spl154_367
| ~ spl154_424 ),
inference(forward_demodulation,[],[f23203,f22162]) ).
fof(f22162,plain,
( e0 = e1
| ~ spl154_149
| ~ spl154_424 ),
inference(superposition,[],[f8958,f1931]) ).
fof(f1931,plain,
( e1 = op(e3,e2)
| ~ spl154_149 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f8958,plain,
( e0 = op(e3,e2)
| ~ spl154_424 ),
inference(avatar_component_clause,[],[f8956]) ).
fof(f23203,plain,
( e1 = e2
| ~ spl154_149
| ~ spl154_187
| ~ spl154_367
| ~ spl154_424 ),
inference(forward_demodulation,[],[f23202,f2111]) ).
fof(f23202,plain,
( op(e0,e0) = e2
| ~ spl154_149
| ~ spl154_367
| ~ spl154_424 ),
inference(forward_demodulation,[],[f3175,f22162]) ).
fof(f3175,plain,
( e2 = op(e0,e1)
| ~ spl154_367 ),
inference(avatar_component_clause,[],[f3174]) ).
fof(f23166,plain,
( ~ spl154_27
| spl154_127
| ~ spl154_248
| ~ spl154_379 ),
inference(avatar_split_clause,[],[f23158,f3235,f2428,f1819,f1247]) ).
fof(f1247,plain,
( spl154_27
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_27])]) ).
fof(f2428,plain,
( spl154_248
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_248])]) ).
fof(f3235,plain,
( spl154_379
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_379])]) ).
fof(f23158,plain,
( e0 = e3
| ~ sP53
| ~ spl154_248
| ~ spl154_379 ),
inference(trivial_inequality_removal,[],[f23157]) ).
fof(f23157,plain,
( e2 != e2
| e0 = e3
| ~ sP53
| ~ spl154_248
| ~ spl154_379 ),
inference(forward_demodulation,[],[f22457,f2429]) ).
fof(f2429,plain,
( e2 = op(e0,e3)
| ~ spl154_248 ),
inference(avatar_component_clause,[],[f2428]) ).
fof(f22457,plain,
( e0 = e3
| e2 != op(e0,e3)
| ~ sP53
| ~ spl154_379 ),
inference(forward_demodulation,[],[f658,f3236]) ).
fof(f3236,plain,
( e0 = op(e0,e2)
| ~ spl154_379 ),
inference(avatar_component_clause,[],[f3235]) ).
fof(f658,plain,
( e3 = op(e0,e2)
| e2 != op(e0,e3)
| ~ sP53 ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3)
| ~ sP53 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3)
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f23152,plain,
( spl154_129
| ~ spl154_248
| ~ spl154_362 ),
inference(avatar_split_clause,[],[f23151,f3149,f2428,f1829]) ).
fof(f1829,plain,
( spl154_129
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_129])]) ).
fof(f3149,plain,
( spl154_362
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_362])]) ).
fof(f23151,plain,
( e1 = e2
| ~ spl154_248
| ~ spl154_362 ),
inference(forward_demodulation,[],[f2429,f3151]) ).
fof(f3151,plain,
( e1 = op(e0,e3)
| ~ spl154_362 ),
inference(avatar_component_clause,[],[f3149]) ).
fof(f23149,plain,
( ~ spl154_190
| spl154_135
| ~ spl154_160
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f23122,f2876,f1979,f1859,f2123]) ).
fof(f2123,plain,
( spl154_190
<=> sP133 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_190])]) ).
fof(f23122,plain,
( e0 = unit
| ~ sP133
| ~ spl154_160
| ~ spl154_333 ),
inference(forward_demodulation,[],[f23121,f2877]) ).
fof(f23121,plain,
( e0 = e4
| ~ sP133
| ~ spl154_160 ),
inference(forward_demodulation,[],[f380,f1981]) ).
fof(f380,plain,
( e0 = op(e3,e3)
| ~ sP133 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP133 ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f23124,plain,
( spl154_130
| ~ spl154_362
| ~ spl154_421 ),
inference(avatar_split_clause,[],[f11858,f8844,f3149,f1834]) ).
fof(f11858,plain,
( e1 = e3
| ~ spl154_362
| ~ spl154_421 ),
inference(superposition,[],[f3151,f8846]) ).
fof(f23120,plain,
( ~ spl154_192
| ~ spl154_379 ),
inference(avatar_split_clause,[],[f23118,f3235,f2132]) ).
fof(f2132,plain,
( spl154_192
<=> sP132 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_192])]) ).
fof(f23118,plain,
( ~ sP132
| ~ spl154_379 ),
inference(trivial_inequality_removal,[],[f23117]) ).
fof(f23117,plain,
( e0 != e0
| ~ sP132
| ~ spl154_379 ),
inference(forward_demodulation,[],[f384,f3236]) ).
fof(f384,plain,
( e0 != op(e0,e2)
| ~ sP132 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP132 ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f23086,plain,
( spl154_126
| ~ spl154_150
| ~ spl154_183 ),
inference(avatar_split_clause,[],[f22977,f2089,f1934,f1814]) ).
fof(f1934,plain,
( spl154_150
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_150])]) ).
fof(f2089,plain,
( spl154_183
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_183])]) ).
fof(f22977,plain,
( e0 = e2
| ~ spl154_150
| ~ spl154_183 ),
inference(forward_demodulation,[],[f2091,f1936]) ).
fof(f1936,plain,
( e0 = op(e1,e1)
| ~ spl154_150 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f2091,plain,
( e2 = op(e1,e1)
| ~ spl154_183 ),
inference(avatar_component_clause,[],[f2089]) ).
fof(f23014,plain,
( spl154_125
| ~ spl154_139
| ~ spl154_333
| ~ spl154_356 ),
inference(avatar_split_clause,[],[f22784,f3112,f2876,f1879,f1809]) ).
fof(f3112,plain,
( spl154_356
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_356])]) ).
fof(f22784,plain,
( e0 = e1
| ~ spl154_139
| ~ spl154_333
| ~ spl154_356 ),
inference(forward_demodulation,[],[f22783,f1881]) ).
fof(f22783,plain,
( e1 = op(e0,unit)
| ~ spl154_333
| ~ spl154_356 ),
inference(forward_demodulation,[],[f3114,f2877]) ).
fof(f3114,plain,
( e1 = op(e0,e4)
| ~ spl154_356 ),
inference(avatar_component_clause,[],[f3112]) ).
fof(f22979,plain,
( spl154_126
| ~ spl154_356
| ~ spl154_377
| ~ spl154_379
| ~ spl154_385 ),
inference(avatar_split_clause,[],[f22771,f3453,f3235,f3225,f3112,f1814]) ).
fof(f3225,plain,
( spl154_377
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_377])]) ).
fof(f3453,plain,
( spl154_385
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_385])]) ).
fof(f22771,plain,
( e0 = e2
| ~ spl154_356
| ~ spl154_377
| ~ spl154_379
| ~ spl154_385 ),
inference(forward_demodulation,[],[f16972,f3236]) ).
fof(f16972,plain,
( e2 = op(e0,e2)
| ~ spl154_356
| ~ spl154_377
| ~ spl154_385 ),
inference(forward_demodulation,[],[f3455,f15445]) ).
fof(f15445,plain,
( e0 = e1
| ~ spl154_356
| ~ spl154_377 ),
inference(superposition,[],[f3226,f3114]) ).
fof(f3226,plain,
( e0 = op(e0,e4)
| ~ spl154_377 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f3455,plain,
( e2 = op(e1,e2)
| ~ spl154_385 ),
inference(avatar_component_clause,[],[f3453]) ).
fof(f22905,plain,
( spl154_127
| ~ spl154_150
| ~ spl154_181 ),
inference(avatar_split_clause,[],[f22751,f2079,f1934,f1819]) ).
fof(f2079,plain,
( spl154_181
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_181])]) ).
fof(f22751,plain,
( e0 = e3
| ~ spl154_150
| ~ spl154_181 ),
inference(forward_demodulation,[],[f2081,f1936]) ).
fof(f2081,plain,
( e3 = op(e1,e1)
| ~ spl154_181 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f22786,plain,
( spl154_334
| ~ spl154_144
| ~ spl154_193
| ~ spl154_437
| ~ spl154_443 ),
inference(avatar_split_clause,[],[f22748,f22247,f15484,f2136,f1904,f2880]) ).
fof(f22748,plain,
( e2 = unit
| ~ spl154_144
| ~ spl154_193
| ~ spl154_437
| ~ spl154_443 ),
inference(forward_demodulation,[],[f2138,f22251]) ).
fof(f22251,plain,
( op(e0,e0) = unit
| ~ spl154_144
| ~ spl154_437
| ~ spl154_443 ),
inference(forward_demodulation,[],[f22249,f22243]) ).
fof(f22753,plain,
( spl154_137
| ~ spl154_144
| ~ spl154_362
| ~ spl154_437
| ~ spl154_443 ),
inference(avatar_split_clause,[],[f22747,f22247,f15484,f3149,f1904,f1869]) ).
fof(f22747,plain,
( e1 = unit
| ~ spl154_144
| ~ spl154_362
| ~ spl154_437
| ~ spl154_443 ),
inference(forward_demodulation,[],[f22582,f22251]) ).
fof(f22582,plain,
( op(e0,e0) = e1
| ~ spl154_144
| ~ spl154_362
| ~ spl154_437 ),
inference(forward_demodulation,[],[f3151,f22243]) ).
fof(f22738,plain,
( spl154_135
| ~ spl154_150
| ~ spl154_179
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f22680,f2876,f2069,f1934,f1859]) ).
fof(f2069,plain,
( spl154_179
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_179])]) ).
fof(f22680,plain,
( e0 = unit
| ~ spl154_150
| ~ spl154_179
| ~ spl154_333 ),
inference(forward_demodulation,[],[f18543,f2877]) ).
fof(f18543,plain,
( e0 = e4
| ~ spl154_150
| ~ spl154_179 ),
inference(forward_demodulation,[],[f2071,f1936]) ).
fof(f2071,plain,
( e4 = op(e1,e1)
| ~ spl154_179 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f22733,plain,
( spl154_136
| ~ spl154_147
| ~ spl154_152
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f22676,f2876,f1943,f1919,f1864]) ).
fof(f1943,plain,
( spl154_152
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_152])]) ).
fof(f22676,plain,
( e3 = unit
| ~ spl154_147
| ~ spl154_152
| ~ spl154_333 ),
inference(forward_demodulation,[],[f22675,f19168]) ).
fof(f22675,plain,
( e3 = op(unit,unit)
| ~ spl154_152
| ~ spl154_333 ),
inference(forward_demodulation,[],[f1945,f2877]) ).
fof(f1945,plain,
( e3 = op(e4,e4)
| ~ spl154_152 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f22684,plain,
( spl154_137
| ~ spl154_144
| ~ spl154_333
| ~ spl154_362
| ~ spl154_422
| ~ spl154_437 ),
inference(avatar_split_clause,[],[f22642,f15484,f8869,f3149,f2876,f1904,f1869]) ).
fof(f22642,plain,
( e1 = unit
| ~ spl154_144
| ~ spl154_333
| ~ spl154_362
| ~ spl154_422
| ~ spl154_437 ),
inference(forward_demodulation,[],[f22582,f22265]) ).
fof(f22265,plain,
( op(e0,e0) = unit
| ~ spl154_144
| ~ spl154_333
| ~ spl154_422
| ~ spl154_437 ),
inference(forward_demodulation,[],[f22264,f2877]) ).
fof(f22264,plain,
( op(e0,e0) = e4
| ~ spl154_144
| ~ spl154_422
| ~ spl154_437 ),
inference(forward_demodulation,[],[f8871,f22243]) ).
fof(f22677,plain,
( ~ spl154_159
| ~ spl154_145
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f22632,f2876,f1909,f1975]) ).
fof(f1975,plain,
( spl154_159
<=> sP149 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_159])]) ).
fof(f1909,plain,
( spl154_145
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_145])]) ).
fof(f22632,plain,
( ~ sP149
| ~ spl154_145
| ~ spl154_333 ),
inference(trivial_inequality_removal,[],[f22631]) ).
fof(f22631,plain,
( e3 != e3
| ~ sP149
| ~ spl154_145
| ~ spl154_333 ),
inference(forward_demodulation,[],[f22630,f1911]) ).
fof(f1911,plain,
( e3 = op(e3,unit)
| ~ spl154_145 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f22630,plain,
( e3 != op(e3,unit)
| ~ sP149
| ~ spl154_333 ),
inference(forward_demodulation,[],[f333,f2877]) ).
fof(f333,plain,
( e3 != op(e3,e4)
| ~ sP149 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP149 ),
inference(nnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP149 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP149])]) ).
fof(f22629,plain,
( spl154_135
| ~ spl154_168
| ~ spl154_418 ),
inference(avatar_split_clause,[],[f22586,f8399,f2015,f1859]) ).
fof(f2015,plain,
( spl154_168
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_168])]) ).
fof(f8399,plain,
( spl154_418
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_418])]) ).
fof(f22586,plain,
( e0 = unit
| ~ spl154_168
| ~ spl154_418 ),
inference(forward_demodulation,[],[f2017,f8400]) ).
fof(f8400,plain,
( op(e3,e3) = unit
| ~ spl154_418 ),
inference(avatar_component_clause,[],[f8399]) ).
fof(f2017,plain,
( e0 = op(e3,e3)
| ~ spl154_168 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f22587,plain,
( spl154_137
| ~ spl154_144
| ~ spl154_362
| ~ spl154_428
| ~ spl154_437 ),
inference(avatar_split_clause,[],[f22583,f15484,f11900,f3149,f1904,f1869]) ).
fof(f22583,plain,
( e1 = unit
| ~ spl154_144
| ~ spl154_362
| ~ spl154_428
| ~ spl154_437 ),
inference(forward_demodulation,[],[f22582,f11901]) ).
fof(f22481,plain,
( spl154_126
| ~ spl154_379
| ~ spl154_384 ),
inference(avatar_split_clause,[],[f22475,f3449,f3235,f1814]) ).
fof(f3449,plain,
( spl154_384
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_384])]) ).
fof(f22475,plain,
( e0 = e2
| ~ spl154_379
| ~ spl154_384 ),
inference(forward_demodulation,[],[f3451,f3236]) ).
fof(f3451,plain,
( e2 = op(e0,e2)
| ~ spl154_384 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f22449,plain,
( spl154_126
| ~ spl154_139
| ~ spl154_333
| ~ spl154_354 ),
inference(avatar_split_clause,[],[f22268,f3103,f2876,f1879,f1814]) ).
fof(f3103,plain,
( spl154_354
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_354])]) ).
fof(f22268,plain,
( e0 = e2
| ~ spl154_139
| ~ spl154_333
| ~ spl154_354 ),
inference(forward_demodulation,[],[f22267,f1881]) ).
fof(f22267,plain,
( e2 = op(e0,unit)
| ~ spl154_333
| ~ spl154_354 ),
inference(forward_demodulation,[],[f3105,f2877]) ).
fof(f3105,plain,
( e2 = op(e0,e4)
| ~ spl154_354 ),
inference(avatar_component_clause,[],[f3103]) ).
fof(f22445,plain,
( spl154_135
| ~ spl154_379
| ~ spl154_441 ),
inference(avatar_split_clause,[],[f20864,f18850,f3235,f1859]) ).
fof(f18850,plain,
( spl154_441
<=> op(e0,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_441])]) ).
fof(f20864,plain,
( e0 = unit
| ~ spl154_379
| ~ spl154_441 ),
inference(forward_demodulation,[],[f3236,f18852]) ).
fof(f18852,plain,
( op(e0,e2) = unit
| ~ spl154_441 ),
inference(avatar_component_clause,[],[f18850]) ).
fof(f22375,plain,
( spl154_126
| ~ spl154_142
| ~ spl154_440 ),
inference(avatar_split_clause,[],[f22190,f18818,f1894,f1814]) ).
fof(f18818,plain,
( spl154_440
<=> e0 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_440])]) ).
fof(f22190,plain,
( e0 = e2
| ~ spl154_142
| ~ spl154_440 ),
inference(superposition,[],[f18820,f1896]) ).
fof(f18820,plain,
( e0 = op(unit,e2)
| ~ spl154_440 ),
inference(avatar_component_clause,[],[f18818]) ).
fof(f22339,plain,
( spl154_135
| ~ spl154_144
| ~ spl154_149
| ~ spl154_358
| ~ spl154_424
| ~ spl154_428
| ~ spl154_437 ),
inference(avatar_split_clause,[],[f22331,f15484,f11900,f8956,f3129,f1929,f1904,f1859]) ).
fof(f3129,plain,
( spl154_358
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_358])]) ).
fof(f22331,plain,
( e0 = unit
| ~ spl154_144
| ~ spl154_149
| ~ spl154_358
| ~ spl154_424
| ~ spl154_428
| ~ spl154_437 ),
inference(forward_demodulation,[],[f22330,f11901]) ).
fof(f22330,plain,
( e0 = op(e0,e0)
| ~ spl154_144
| ~ spl154_149
| ~ spl154_358
| ~ spl154_424
| ~ spl154_437 ),
inference(forward_demodulation,[],[f22329,f22243]) ).
fof(f22329,plain,
( e3 = op(e3,e0)
| ~ spl154_149
| ~ spl154_358
| ~ spl154_424 ),
inference(forward_demodulation,[],[f3130,f22162]) ).
fof(f3130,plain,
( e3 = op(e3,e1)
| ~ spl154_358 ),
inference(avatar_component_clause,[],[f3129]) ).
fof(f22271,plain,
( spl154_199
| spl154_129
| spl154_132
| spl154_334
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_375 ),
inference(avatar_split_clause,[],[f21664,f3214,f3050,f2876,f1979,f2880,f1844,f1829,f2165]) ).
fof(f3050,plain,
( spl154_343
<=> e3 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_343])]) ).
fof(f3214,plain,
( spl154_375
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_375])]) ).
fof(f21664,plain,
( e2 = unit
| e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_375 ),
inference(duplicate_literal_removal,[],[f21663]) ).
fof(f21663,plain,
( e2 = unit
| e2 = unit
| e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_375 ),
inference(forward_demodulation,[],[f21662,f21291]) ).
fof(f21291,plain,
( op(e3,e0) = unit
| ~ spl154_333
| ~ spl154_375 ),
inference(forward_demodulation,[],[f3216,f2877]) ).
fof(f3216,plain,
( e4 = op(e3,e0)
| ~ spl154_375 ),
inference(avatar_component_clause,[],[f3214]) ).
fof(f21662,plain,
( e2 = unit
| e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343 ),
inference(forward_demodulation,[],[f21661,f2877]) ).
fof(f21661,plain,
( e2 = e4
| e2 = e3
| e1 = e2
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_160
| ~ spl154_343 ),
inference(forward_demodulation,[],[f17912,f1981]) ).
fof(f17912,plain,
( e2 = e3
| e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_343 ),
inference(forward_demodulation,[],[f1100,f3052]) ).
fof(f3052,plain,
( e3 = op(e3,e4)
| ~ spl154_343 ),
inference(avatar_component_clause,[],[f3050]) ).
fof(f1100,plain,
( e1 = e2
| e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(forward_demodulation,[],[f929,f1095]) ).
fof(f929,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22259,plain,
( spl154_378
| ~ spl154_142
| ~ spl154_248
| ~ spl154_440 ),
inference(avatar_split_clause,[],[f22213,f18818,f2428,f1894,f3230]) ).
fof(f22213,plain,
( e0 = op(e0,e3)
| ~ spl154_142
| ~ spl154_248
| ~ spl154_440 ),
inference(forward_demodulation,[],[f2429,f22190]) ).
fof(f22252,plain,
( spl154_428
| ~ spl154_142
| ~ spl154_440
| ~ spl154_441 ),
inference(avatar_split_clause,[],[f22209,f18850,f18818,f1894,f11900]) ).
fof(f22209,plain,
( op(e0,e0) = unit
| ~ spl154_142
| ~ spl154_440
| ~ spl154_441 ),
inference(forward_demodulation,[],[f18852,f22190]) ).
fof(f22250,plain,
( spl154_443
| ~ spl154_333
| ~ spl154_375 ),
inference(avatar_split_clause,[],[f21291,f3214,f2876,f22247]) ).
fof(f22242,plain,
( spl154_437
| ~ spl154_333
| ~ spl154_373 ),
inference(avatar_split_clause,[],[f21288,f3204,f2876,f15484]) ).
fof(f3204,plain,
( spl154_373
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_373])]) ).
fof(f21288,plain,
( e0 = op(unit,e3)
| ~ spl154_333
| ~ spl154_373 ),
inference(forward_demodulation,[],[f3205,f2877]) ).
fof(f3205,plain,
( e0 = op(e4,e3)
| ~ spl154_373 ),
inference(avatar_component_clause,[],[f3204]) ).
fof(f22212,plain,
( spl154_127
| ~ spl154_142
| ~ spl154_248
| ~ spl154_421
| ~ spl154_440 ),
inference(avatar_split_clause,[],[f22211,f18818,f8844,f2428,f1894,f1819]) ).
fof(f22211,plain,
( e0 = e3
| ~ spl154_142
| ~ spl154_248
| ~ spl154_421
| ~ spl154_440 ),
inference(forward_demodulation,[],[f22210,f22190]) ).
fof(f22210,plain,
( e2 = e3
| ~ spl154_248
| ~ spl154_421 ),
inference(forward_demodulation,[],[f2429,f8846]) ).
fof(f22193,plain,
( spl154_441
| ~ spl154_333
| ~ spl154_353 ),
inference(avatar_split_clause,[],[f21241,f3099,f2876,f18850]) ).
fof(f3099,plain,
( spl154_353
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_353])]) ).
fof(f21241,plain,
( op(e0,e2) = unit
| ~ spl154_333
| ~ spl154_353 ),
inference(forward_demodulation,[],[f3100,f2877]) ).
fof(f3100,plain,
( e4 = op(e0,e2)
| ~ spl154_353 ),
inference(avatar_component_clause,[],[f3099]) ).
fof(f22189,plain,
( spl154_440
| ~ spl154_333
| ~ spl154_365 ),
inference(avatar_split_clause,[],[f20884,f3163,f2876,f18818]) ).
fof(f3163,plain,
( spl154_365
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_365])]) ).
fof(f20884,plain,
( e0 = op(unit,e2)
| ~ spl154_333
| ~ spl154_365 ),
inference(forward_demodulation,[],[f3165,f2877]) ).
fof(f3165,plain,
( e0 = op(e4,e2)
| ~ spl154_365 ),
inference(avatar_component_clause,[],[f3163]) ).
fof(f22178,plain,
( spl154_438
| ~ spl154_333
| ~ spl154_348 ),
inference(avatar_split_clause,[],[f20865,f3074,f2876,f18783]) ).
fof(f20865,plain,
( e0 = op(e2,unit)
| ~ spl154_333
| ~ spl154_348 ),
inference(forward_demodulation,[],[f3076,f2877]) ).
fof(f3076,plain,
( e0 = op(e2,e4)
| ~ spl154_348 ),
inference(avatar_component_clause,[],[f3074]) ).
fof(f22165,plain,
( ~ spl154_142
| ~ spl154_333
| spl154_386 ),
inference(avatar_split_clause,[],[f20404,f3457,f2876,f1894]) ).
fof(f3457,plain,
( spl154_386
<=> e2 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_386])]) ).
fof(f20404,plain,
( e2 != op(unit,e2)
| ~ spl154_333
| spl154_386 ),
inference(forward_demodulation,[],[f3458,f2877]) ).
fof(f3458,plain,
( e2 != op(e4,e2)
| spl154_386 ),
inference(avatar_component_clause,[],[f3457]) ).
fof(f22151,plain,
( ~ spl154_99
| ~ spl154_160
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f22150,f2876,f1979,f1666]) ).
fof(f1666,plain,
( spl154_99
<=> sP118 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_99])]) ).
fof(f22150,plain,
( ~ sP118
| ~ spl154_160
| ~ spl154_333 ),
inference(trivial_inequality_removal,[],[f22149]) ).
fof(f22149,plain,
( unit != unit
| ~ sP118
| ~ spl154_160
| ~ spl154_333 ),
inference(forward_demodulation,[],[f22148,f2877]) ).
fof(f22148,plain,
( e4 != unit
| ~ sP118
| ~ spl154_160
| ~ spl154_333 ),
inference(forward_demodulation,[],[f22147,f1981]) ).
fof(f22147,plain,
( op(e3,e3) != unit
| ~ sP118
| ~ spl154_333 ),
inference(trivial_inequality_removal,[],[f22146]) ).
fof(f22146,plain,
( unit != unit
| op(e3,e3) != unit
| ~ sP118
| ~ spl154_333 ),
inference(forward_demodulation,[],[f976,f2877]) ).
fof(f976,plain,
( e4 != unit
| op(e3,e3) != unit
| ~ sP118 ),
inference(inner_rewriting,[],[f529]) ).
fof(f529,plain,
( e4 != unit
| e4 != op(e3,e3)
| ~ sP118 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3)
| ~ sP118 ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3)
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f22145,plain,
( ~ spl154_333
| ~ spl154_160
| spl154_418 ),
inference(avatar_split_clause,[],[f8414,f8399,f1979,f2876]) ).
fof(f8414,plain,
( e4 != unit
| ~ spl154_160
| spl154_418 ),
inference(superposition,[],[f8401,f1981]) ).
fof(f8401,plain,
( op(e3,e3) != unit
| spl154_418 ),
inference(avatar_component_clause,[],[f8399]) ).
fof(f22130,plain,
( ~ spl154_6
| spl154_127
| ~ spl154_187
| ~ spl154_361 ),
inference(avatar_split_clause,[],[f21659,f3145,f2109,f1819,f1138]) ).
fof(f3145,plain,
( spl154_361
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_361])]) ).
fof(f21659,plain,
( e0 = e3
| ~ sP25
| ~ spl154_187
| ~ spl154_361 ),
inference(trivial_inequality_removal,[],[f21658]) ).
fof(f21658,plain,
( e1 != e1
| e0 = e3
| ~ sP25
| ~ spl154_187
| ~ spl154_361 ),
inference(forward_demodulation,[],[f21290,f2111]) ).
fof(f21290,plain,
( e0 = e3
| op(e0,e0) != e1
| ~ sP25
| ~ spl154_361 ),
inference(forward_demodulation,[],[f714,f3146]) ).
fof(f3146,plain,
( e3 = op(e0,e1)
| ~ spl154_361 ),
inference(avatar_component_clause,[],[f3145]) ).
fof(f22126,plain,
( spl154_130
| ~ spl154_141
| ~ spl154_333
| ~ spl154_360
| ~ spl154_375
| ~ spl154_410 ),
inference(avatar_split_clause,[],[f21948,f4871,f3214,f3139,f2876,f1889,f1834]) ).
fof(f1889,plain,
( spl154_141
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_141])]) ).
fof(f21948,plain,
( e1 = e3
| ~ spl154_141
| ~ spl154_333
| ~ spl154_360
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f21947,f1891]) ).
fof(f1891,plain,
( e1 = op(e1,unit)
| ~ spl154_141 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f21947,plain,
( e3 = op(e1,unit)
| ~ spl154_333
| ~ spl154_360
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f3140,f21853]) ).
fof(f21853,plain,
( e0 = unit
| ~ spl154_333
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f13011,f2877]) ).
fof(f13011,plain,
( e0 = e4
| ~ spl154_375
| ~ spl154_410 ),
inference(superposition,[],[f4873,f3216]) ).
fof(f22025,plain,
( spl154_126
| ~ spl154_299
| ~ spl154_409 ),
inference(avatar_split_clause,[],[f17541,f4867,f2696,f1814]) ).
fof(f2696,plain,
( spl154_299
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_299])]) ).
fof(f4867,plain,
( spl154_409
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_409])]) ).
fof(f17541,plain,
( e0 = e2
| ~ spl154_299
| ~ spl154_409 ),
inference(forward_demodulation,[],[f2697,f4869]) ).
fof(f4869,plain,
( e0 = op(e2,e0)
| ~ spl154_409 ),
inference(avatar_component_clause,[],[f4867]) ).
fof(f2697,plain,
( e2 = op(e2,e0)
| ~ spl154_299 ),
inference(avatar_component_clause,[],[f2696]) ).
fof(f22023,plain,
( spl154_135
| spl154_376
| spl154_127
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416
| ~ spl154_421 ),
inference(avatar_split_clause,[],[f21982,f8844,f5644,f2876,f2236,f1979,f1874,f1819,f3219,f1859]) ).
fof(f2236,plain,
( spl154_212
<=> e1 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_212])]) ).
fof(f21982,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = unit
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416
| ~ spl154_421 ),
inference(duplicate_literal_removal,[],[f21981]) ).
fof(f21981,plain,
( e0 = e3
| e0 = e3
| e0 = op(e2,e3)
| e0 = unit
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416
| ~ spl154_421 ),
inference(forward_demodulation,[],[f21980,f21971]) ).
fof(f21971,plain,
( e0 = e1
| ~ spl154_138
| ~ spl154_212
| ~ spl154_333 ),
inference(forward_demodulation,[],[f21970,f1876]) ).
fof(f1876,plain,
( e0 = op(unit,e0)
| ~ spl154_138 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f21970,plain,
( e1 = op(unit,e0)
| ~ spl154_212
| ~ spl154_333 ),
inference(forward_demodulation,[],[f2237,f2877]) ).
fof(f2237,plain,
( e1 = op(e4,e0)
| ~ spl154_212 ),
inference(avatar_component_clause,[],[f2236]) ).
fof(f21980,plain,
( e1 = e3
| e0 = e3
| e0 = op(e2,e3)
| e0 = unit
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416
| ~ spl154_421 ),
inference(forward_demodulation,[],[f21979,f8846]) ).
fof(f21979,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = unit
| e1 = op(e0,e3)
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416
| ~ spl154_421 ),
inference(duplicate_literal_removal,[],[f21978]) ).
fof(f21978,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = e3
| e0 = unit
| e1 = op(e0,e3)
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416
| ~ spl154_421 ),
inference(forward_demodulation,[],[f21977,f8846]) ).
fof(f21977,plain,
( e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = e3
| e0 = unit
| e1 = op(e0,e3)
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416 ),
inference(forward_demodulation,[],[f21976,f21971]) ).
fof(f21976,plain,
( e0 = op(e2,e3)
| e0 = e3
| e0 = unit
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416 ),
inference(forward_demodulation,[],[f21975,f21971]) ).
fof(f21975,plain,
( e0 = e3
| e0 = unit
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416 ),
inference(forward_demodulation,[],[f21974,f21971]) ).
fof(f21974,plain,
( e0 = unit
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_138
| ~ spl154_160
| ~ spl154_212
| ~ spl154_333
| ~ spl154_416 ),
inference(forward_demodulation,[],[f21650,f21971]) ).
fof(f21650,plain,
( e1 = unit
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_333
| ~ spl154_416 ),
inference(forward_demodulation,[],[f21649,f2877]) ).
fof(f21649,plain,
( e1 = e4
| e1 = e3
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7927,f1981]) ).
fof(f21965,plain,
( spl154_137
| ~ spl154_147
| ~ spl154_212
| ~ spl154_333
| ~ spl154_375
| ~ spl154_410 ),
inference(avatar_split_clause,[],[f21945,f4871,f3214,f2876,f2236,f1919,f1869]) ).
fof(f21945,plain,
( e1 = unit
| ~ spl154_147
| ~ spl154_212
| ~ spl154_333
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f21944,f19168]) ).
fof(f21944,plain,
( e1 = op(unit,unit)
| ~ spl154_212
| ~ spl154_333
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f21943,f2877]) ).
fof(f21943,plain,
( e1 = op(e4,unit)
| ~ spl154_212
| ~ spl154_333
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f2237,f21853]) ).
fof(f21946,plain,
( spl154_136
| ~ spl154_333
| ~ spl154_352
| ~ spl154_360 ),
inference(avatar_split_clause,[],[f21939,f3139,f3093,f2876,f1864]) ).
fof(f21869,plain,
( spl154_130
| ~ spl154_141
| ~ spl154_333
| ~ spl154_349 ),
inference(avatar_split_clause,[],[f19841,f3079,f2876,f1889,f1834]) ).
fof(f3079,plain,
( spl154_349
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_349])]) ).
fof(f19841,plain,
( e1 = e3
| ~ spl154_141
| ~ spl154_333
| ~ spl154_349 ),
inference(forward_demodulation,[],[f19840,f1891]) ).
fof(f19840,plain,
( e3 = op(e1,unit)
| ~ spl154_333
| ~ spl154_349 ),
inference(forward_demodulation,[],[f3080,f2877]) ).
fof(f3080,plain,
( e3 = op(e1,e4)
| ~ spl154_349 ),
inference(avatar_component_clause,[],[f3079]) ).
fof(f21867,plain,
( ~ spl154_442
| ~ spl154_333
| spl154_346 ),
inference(avatar_split_clause,[],[f19676,f3065,f2876,f21864]) ).
fof(f21864,plain,
( spl154_442
<=> e1 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_442])]) ).
fof(f3065,plain,
( spl154_346
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_346])]) ).
fof(f19676,plain,
( e1 != op(e2,unit)
| ~ spl154_333
| spl154_346 ),
inference(forward_demodulation,[],[f3066,f2877]) ).
fof(f3066,plain,
( e1 != op(e2,e4)
| spl154_346 ),
inference(avatar_component_clause,[],[f3065]) ).
fof(f21824,plain,
( spl154_127
| ~ spl154_370
| ~ spl154_411 ),
inference(avatar_split_clause,[],[f11686,f4875,f3189,f1819]) ).
fof(f3189,plain,
( spl154_370
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_370])]) ).
fof(f11686,plain,
( e0 = e3
| ~ spl154_370
| ~ spl154_411 ),
inference(forward_demodulation,[],[f3190,f4877]) ).
fof(f4877,plain,
( e0 = op(e4,e0)
| ~ spl154_411 ),
inference(avatar_component_clause,[],[f4875]) ).
fof(f3190,plain,
( e3 = op(e4,e0)
| ~ spl154_370 ),
inference(avatar_component_clause,[],[f3189]) ).
fof(f21813,plain,
( ~ spl154_8
| spl154_125
| ~ spl154_141
| ~ spl154_187
| ~ spl154_333
| ~ spl154_349
| ~ spl154_370
| ~ spl154_411 ),
inference(avatar_split_clause,[],[f21790,f4875,f3189,f3079,f2876,f2109,f1889,f1809,f1148]) ).
fof(f1148,plain,
( spl154_8
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_8])]) ).
fof(f21790,plain,
( e0 = e1
| ~ sP75
| ~ spl154_141
| ~ spl154_187
| ~ spl154_333
| ~ spl154_349
| ~ spl154_370
| ~ spl154_411 ),
inference(trivial_inequality_removal,[],[f21789]) ).
fof(f21789,plain,
( e1 != e1
| e0 = e1
| ~ sP75
| ~ spl154_141
| ~ spl154_187
| ~ spl154_333
| ~ spl154_349
| ~ spl154_370
| ~ spl154_411 ),
inference(forward_demodulation,[],[f21788,f2111]) ).
fof(f21788,plain,
( op(e0,e0) != e1
| e0 = e1
| ~ sP75
| ~ spl154_141
| ~ spl154_187
| ~ spl154_333
| ~ spl154_349
| ~ spl154_370
| ~ spl154_411 ),
inference(forward_demodulation,[],[f21787,f19841]) ).
fof(f21787,plain,
( e0 = e1
| op(e0,e0) != e3
| ~ sP75
| ~ spl154_187
| ~ spl154_370
| ~ spl154_411 ),
inference(forward_demodulation,[],[f12977,f2111]) ).
fof(f12977,plain,
( e0 = op(e0,e0)
| op(e0,e0) != e3
| ~ sP75
| ~ spl154_370
| ~ spl154_411 ),
inference(forward_demodulation,[],[f614,f11686]) ).
fof(f614,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3
| ~ sP75 ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3
| ~ sP75 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f21622,plain,
( spl154_130
| ~ spl154_187
| ~ spl154_191 ),
inference(avatar_split_clause,[],[f21292,f2127,f2109,f1834]) ).
fof(f2127,plain,
( spl154_191
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_191])]) ).
fof(f21292,plain,
( e1 = e3
| ~ spl154_187
| ~ spl154_191 ),
inference(forward_demodulation,[],[f2129,f2111]) ).
fof(f2129,plain,
( op(e0,e0) = e3
| ~ spl154_191 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f21279,plain,
( spl154_130
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f19305,f3183,f2876,f1884,f1834]) ).
fof(f3183,plain,
( spl154_369
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_369])]) ).
fof(f19305,plain,
( e1 = e3
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f19222,f1886]) ).
fof(f19222,plain,
( e3 = op(unit,e1)
| ~ spl154_333
| ~ spl154_369 ),
inference(superposition,[],[f3185,f2877]) ).
fof(f3185,plain,
( e3 = op(e4,e1)
| ~ spl154_369 ),
inference(avatar_component_clause,[],[f3183]) ).
fof(f21231,plain,
( spl154_334
| ~ spl154_384
| ~ spl154_441 ),
inference(avatar_split_clause,[],[f21158,f18850,f3449,f2880]) ).
fof(f21158,plain,
( e2 = unit
| ~ spl154_384
| ~ spl154_441 ),
inference(forward_demodulation,[],[f3451,f18852]) ).
fof(f21160,plain,
( spl154_126
| ~ spl154_138
| ~ spl154_333
| ~ spl154_364 ),
inference(avatar_split_clause,[],[f21154,f3159,f2876,f1874,f1814]) ).
fof(f3159,plain,
( spl154_364
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_364])]) ).
fof(f21154,plain,
( e0 = e2
| ~ spl154_138
| ~ spl154_333
| ~ spl154_364 ),
inference(forward_demodulation,[],[f21153,f1876]) ).
fof(f21153,plain,
( e2 = op(unit,e0)
| ~ spl154_333
| ~ spl154_364 ),
inference(forward_demodulation,[],[f3160,f2877]) ).
fof(f3160,plain,
( e2 = op(e4,e0)
| ~ spl154_364 ),
inference(avatar_component_clause,[],[f3159]) ).
fof(f21155,plain,
( spl154_129
| ~ spl154_140
| ~ spl154_248
| ~ spl154_333
| ~ spl154_361
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f21152,f3183,f3145,f2876,f2428,f1884,f1829]) ).
fof(f21152,plain,
( e1 = e2
| ~ spl154_140
| ~ spl154_248
| ~ spl154_333
| ~ spl154_361
| ~ spl154_369 ),
inference(forward_demodulation,[],[f20869,f21135]) ).
fof(f21135,plain,
( e1 = op(e0,e1)
| ~ spl154_140
| ~ spl154_333
| ~ spl154_361
| ~ spl154_369 ),
inference(forward_demodulation,[],[f3146,f19305]) ).
fof(f20869,plain,
( e2 = op(e0,e1)
| ~ spl154_140
| ~ spl154_248
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f2429,f19305]) ).
fof(f21124,plain,
( spl154_334
| ~ spl154_299
| ~ spl154_333
| ~ spl154_347 ),
inference(avatar_split_clause,[],[f21100,f3070,f2876,f2696,f2880]) ).
fof(f3070,plain,
( spl154_347
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_347])]) ).
fof(f21100,plain,
( e2 = unit
| ~ spl154_299
| ~ spl154_333
| ~ spl154_347 ),
inference(forward_demodulation,[],[f2697,f21097]) ).
fof(f21097,plain,
( op(e2,e0) = unit
| ~ spl154_333
| ~ spl154_347 ),
inference(forward_demodulation,[],[f3071,f2877]) ).
fof(f3071,plain,
( e4 = op(e2,e0)
| ~ spl154_347 ),
inference(avatar_component_clause,[],[f3070]) ).
fof(f21075,plain,
( spl154_137
| ~ spl154_333
| ~ spl154_345
| ~ spl154_407 ),
inference(avatar_split_clause,[],[f21005,f4847,f3061,f2876,f1869]) ).
fof(f21005,plain,
( e1 = unit
| ~ spl154_333
| ~ spl154_345
| ~ spl154_407 ),
inference(forward_demodulation,[],[f18226,f2877]) ).
fof(f18226,plain,
( e1 = e4
| ~ spl154_345
| ~ spl154_407 ),
inference(forward_demodulation,[],[f3062,f4849]) ).
fof(f21010,plain,
( spl154_135
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369
| ~ spl154_373
| ~ spl154_394 ),
inference(avatar_split_clause,[],[f20930,f3689,f3204,f3183,f2876,f1884,f1859]) ).
fof(f3689,plain,
( spl154_394
<=> op(e4,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_394])]) ).
fof(f20930,plain,
( e0 = unit
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369
| ~ spl154_373
| ~ spl154_394 ),
inference(forward_demodulation,[],[f20929,f19451]) ).
fof(f19451,plain,
( unit = op(unit,e1)
| ~ spl154_333
| ~ spl154_394 ),
inference(forward_demodulation,[],[f3690,f2877]) ).
fof(f3690,plain,
( op(e4,e1) = unit
| ~ spl154_394 ),
inference(avatar_component_clause,[],[f3689]) ).
fof(f20929,plain,
( e0 = op(unit,e1)
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369
| ~ spl154_373 ),
inference(forward_demodulation,[],[f20924,f2877]) ).
fof(f20924,plain,
( e0 = op(e4,e1)
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369
| ~ spl154_373 ),
inference(forward_demodulation,[],[f3205,f19305]) ).
fof(f20928,plain,
( spl154_129
| ~ spl154_140
| ~ spl154_248
| ~ spl154_333
| ~ spl154_369
| ~ spl154_406 ),
inference(avatar_split_clause,[],[f20870,f4843,f3183,f2876,f2428,f1884,f1829]) ).
fof(f4843,plain,
( spl154_406
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_406])]) ).
fof(f20870,plain,
( e1 = e2
| ~ spl154_140
| ~ spl154_248
| ~ spl154_333
| ~ spl154_369
| ~ spl154_406 ),
inference(forward_demodulation,[],[f20869,f4845]) ).
fof(f4845,plain,
( e1 = op(e0,e1)
| ~ spl154_406 ),
inference(avatar_component_clause,[],[f4843]) ).
fof(f20902,plain,
( spl154_126
| ~ spl154_248
| ~ spl154_378 ),
inference(avatar_split_clause,[],[f12889,f3230,f2428,f1814]) ).
fof(f12889,plain,
( e0 = e2
| ~ spl154_248
| ~ spl154_378 ),
inference(forward_demodulation,[],[f2429,f3231]) ).
fof(f3231,plain,
( e0 = op(e0,e3)
| ~ spl154_378 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f20883,plain,
( spl154_334
| ~ spl154_299
| ~ spl154_439 ),
inference(avatar_split_clause,[],[f20867,f18812,f2696,f2880]) ).
fof(f20867,plain,
( e2 = unit
| ~ spl154_299
| ~ spl154_439 ),
inference(forward_demodulation,[],[f2697,f18814]) ).
fof(f20874,plain,
( spl154_135
| ~ spl154_333
| ~ spl154_353
| ~ spl154_379 ),
inference(avatar_split_clause,[],[f20862,f3235,f3099,f2876,f1859]) ).
fof(f20862,plain,
( e0 = unit
| ~ spl154_333
| ~ spl154_353
| ~ spl154_379 ),
inference(forward_demodulation,[],[f18190,f2877]) ).
fof(f18190,plain,
( e0 = e4
| ~ spl154_353
| ~ spl154_379 ),
inference(forward_demodulation,[],[f3100,f3236]) ).
fof(f20849,plain,
( spl154_127
| ~ spl154_148
| ~ spl154_177 ),
inference(avatar_split_clause,[],[f18758,f2059,f1924,f1819]) ).
fof(f1924,plain,
( spl154_148
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_148])]) ).
fof(f2059,plain,
( spl154_177
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_177])]) ).
fof(f18758,plain,
( e0 = e3
| ~ spl154_148
| ~ spl154_177 ),
inference(superposition,[],[f1926,f2061]) ).
fof(f2061,plain,
( e0 = op(e2,e2)
| ~ spl154_177 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f1926,plain,
( e3 = op(e2,e2)
| ~ spl154_148 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f20842,plain,
( spl154_137
| ~ spl154_140
| ~ spl154_210
| ~ spl154_333
| ~ spl154_352
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f20839,f3183,f3093,f2876,f2225,f1884,f1869]) ).
fof(f2225,plain,
( spl154_210
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_210])]) ).
fof(f20839,plain,
( e1 = unit
| ~ spl154_140
| ~ spl154_210
| ~ spl154_333
| ~ spl154_352
| ~ spl154_369 ),
inference(forward_demodulation,[],[f20838,f20822]) ).
fof(f20838,plain,
( e1 = op(e1,e0)
| ~ spl154_140
| ~ spl154_210
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f2226,f19305]) ).
fof(f2226,plain,
( e1 = op(e3,e0)
| ~ spl154_210 ),
inference(avatar_component_clause,[],[f2225]) ).
fof(f20833,plain,
( spl154_137
| ~ spl154_140
| ~ spl154_333
| ~ spl154_352
| ~ spl154_359
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f20824,f3183,f3134,f3093,f2876,f1884,f1869]) ).
fof(f3134,plain,
( spl154_359
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_359])]) ).
fof(f20824,plain,
( e1 = unit
| ~ spl154_140
| ~ spl154_333
| ~ spl154_352
| ~ spl154_359
| ~ spl154_369 ),
inference(forward_demodulation,[],[f19651,f20822]) ).
fof(f19651,plain,
( e1 = op(e1,e0)
| ~ spl154_140
| ~ spl154_333
| ~ spl154_359
| ~ spl154_369 ),
inference(forward_demodulation,[],[f3135,f19305]) ).
fof(f3135,plain,
( e3 = op(e3,e0)
| ~ spl154_359 ),
inference(avatar_component_clause,[],[f3134]) ).
fof(f20812,plain,
( spl154_135
| ~ spl154_140
| ~ spl154_333
| ~ spl154_352
| ~ spl154_369
| ~ spl154_410 ),
inference(avatar_split_clause,[],[f20772,f4871,f3183,f3093,f2876,f1884,f1859]) ).
fof(f20772,plain,
( e0 = unit
| ~ spl154_140
| ~ spl154_333
| ~ spl154_352
| ~ spl154_369
| ~ spl154_410 ),
inference(forward_demodulation,[],[f20771,f2877]) ).
fof(f20771,plain,
( e0 = e4
| ~ spl154_140
| ~ spl154_333
| ~ spl154_352
| ~ spl154_369
| ~ spl154_410 ),
inference(forward_demodulation,[],[f3094,f20519]) ).
fof(f20519,plain,
( e0 = op(e1,e0)
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369
| ~ spl154_410 ),
inference(forward_demodulation,[],[f4873,f19305]) ).
fof(f20774,plain,
( spl154_135
| ~ spl154_140
| ~ spl154_333
| ~ spl154_345
| ~ spl154_369
| ~ spl154_376 ),
inference(avatar_split_clause,[],[f20766,f3219,f3183,f3061,f2876,f1884,f1859]) ).
fof(f20766,plain,
( e0 = unit
| ~ spl154_140
| ~ spl154_333
| ~ spl154_345
| ~ spl154_369
| ~ spl154_376 ),
inference(forward_demodulation,[],[f20765,f2877]) ).
fof(f20765,plain,
( e0 = e4
| ~ spl154_140
| ~ spl154_333
| ~ spl154_345
| ~ spl154_369
| ~ spl154_376 ),
inference(forward_demodulation,[],[f3062,f20047]) ).
fof(f20047,plain,
( e0 = op(e2,e1)
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369
| ~ spl154_376 ),
inference(forward_demodulation,[],[f3220,f19305]) ).
fof(f20454,plain,
( spl154_137
| ~ spl154_140
| ~ spl154_333
| ~ spl154_359
| ~ spl154_369
| ~ spl154_431 ),
inference(avatar_split_clause,[],[f19652,f11937,f3183,f3134,f2876,f1884,f1869]) ).
fof(f19652,plain,
( e1 = unit
| ~ spl154_140
| ~ spl154_333
| ~ spl154_359
| ~ spl154_369
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19651,f11938]) ).
fof(f11938,plain,
( op(e1,e0) = unit
| ~ spl154_431 ),
inference(avatar_component_clause,[],[f11937]) ).
fof(f20093,plain,
( ~ spl154_176
| ~ spl154_138
| ~ spl154_140
| ~ spl154_143
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_347
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(avatar_split_clause,[],[f19974,f11937,f3684,f3183,f3134,f3070,f3050,f2876,f1979,f1899,f1884,f1874,f2055]) ).
fof(f2055,plain,
( spl154_176
<=> sP140 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_176])]) ).
fof(f19974,plain,
( ~ sP140
| ~ spl154_138
| ~ spl154_140
| ~ spl154_143
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_347
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(trivial_inequality_removal,[],[f19973]) ).
fof(f19973,plain,
( e2 != e2
| ~ sP140
| ~ spl154_138
| ~ spl154_140
| ~ spl154_143
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_347
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19972,f1901]) ).
fof(f19972,plain,
( e2 != op(e2,unit)
| ~ sP140
| ~ spl154_138
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_347
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(forward_demodulation,[],[f360,f19951]) ).
fof(f19951,plain,
( e0 = unit
| ~ spl154_138
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_347
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19950,f2877]) ).
fof(f19950,plain,
( e0 = e4
| ~ spl154_138
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_347
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19949,f1876]) ).
fof(f19949,plain,
( e4 = op(unit,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_347
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(forward_demodulation,[],[f3071,f19928]) ).
fof(f19928,plain,
( e2 = unit
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(duplicate_literal_removal,[],[f19927]) ).
fof(f19927,plain,
( e2 = unit
| e2 = unit
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19926,f11938]) ).
fof(f19926,plain,
( e2 = op(e1,e0)
| e2 = unit
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19925,f19305]) ).
fof(f19925,plain,
( e2 = unit
| e2 = op(e3,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(duplicate_literal_removal,[],[f19924]) ).
fof(f19924,plain,
( e2 = unit
| e2 = unit
| e2 = op(e3,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_393
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19923,f3685]) ).
fof(f19923,plain,
( e2 = unit
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_431 ),
inference(duplicate_literal_removal,[],[f19922]) ).
fof(f19922,plain,
( e2 = unit
| e2 = unit
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19921,f19652]) ).
fof(f19921,plain,
( e1 = e2
| e2 = unit
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19920,f19305]) ).
fof(f19920,plain,
( e2 = e3
| e2 = unit
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_343
| ~ spl154_359
| ~ spl154_369
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19919,f3052]) ).
fof(f19919,plain,
( e2 = unit
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_359
| ~ spl154_369
| ~ spl154_431 ),
inference(duplicate_literal_removal,[],[f19918]) ).
fof(f19918,plain,
( e2 = unit
| e2 = unit
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_140
| ~ spl154_160
| ~ spl154_333
| ~ spl154_359
| ~ spl154_369
| ~ spl154_431 ),
inference(forward_demodulation,[],[f19745,f19652]) ).
fof(f19745,plain,
( e2 = unit
| e1 = e2
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_160
| ~ spl154_333 ),
inference(forward_demodulation,[],[f2982,f2877]) ).
fof(f2982,plain,
( e2 = e4
| e1 = e2
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| ~ spl154_160 ),
inference(forward_demodulation,[],[f1100,f1981]) ).
fof(f360,plain,
( e2 != op(e2,e0)
| ~ sP140 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP140 ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f19842,plain,
( ~ spl154_176
| ~ spl154_139
| ~ spl154_143
| ~ spl154_333
| ~ spl154_353
| ~ spl154_413 ),
inference(avatar_split_clause,[],[f19675,f5378,f3099,f2876,f1899,f1879,f2055]) ).
fof(f5378,plain,
( spl154_413
<=> unit = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_413])]) ).
fof(f19675,plain,
( ~ sP140
| ~ spl154_139
| ~ spl154_143
| ~ spl154_333
| ~ spl154_353
| ~ spl154_413 ),
inference(trivial_inequality_removal,[],[f19674]) ).
fof(f19674,plain,
( e2 != e2
| ~ sP140
| ~ spl154_139
| ~ spl154_143
| ~ spl154_333
| ~ spl154_353
| ~ spl154_413 ),
inference(forward_demodulation,[],[f19673,f1901]) ).
fof(f19673,plain,
( e2 != op(e2,unit)
| ~ sP140
| ~ spl154_139
| ~ spl154_143
| ~ spl154_333
| ~ spl154_353
| ~ spl154_413 ),
inference(forward_demodulation,[],[f360,f19657]) ).
fof(f19657,plain,
( e0 = unit
| ~ spl154_139
| ~ spl154_143
| ~ spl154_333
| ~ spl154_353
| ~ spl154_413 ),
inference(forward_demodulation,[],[f19656,f2877]) ).
fof(f19656,plain,
( e0 = e4
| ~ spl154_139
| ~ spl154_143
| ~ spl154_353
| ~ spl154_413 ),
inference(forward_demodulation,[],[f19655,f1881]) ).
fof(f19655,plain,
( e4 = op(e0,unit)
| ~ spl154_143
| ~ spl154_353
| ~ spl154_413 ),
inference(forward_demodulation,[],[f3100,f18777]) ).
fof(f18777,plain,
( e2 = unit
| ~ spl154_143
| ~ spl154_413 ),
inference(superposition,[],[f5379,f1901]) ).
fof(f5379,plain,
( unit = op(e2,unit)
| ~ spl154_413 ),
inference(avatar_component_clause,[],[f5378]) ).
fof(f19421,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_138
| ~ spl154_140
| ~ spl154_333
| ~ spl154_360
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f19355,f3183,f3139,f2876,f1884,f1874,f1864,f1859]) ).
fof(f19355,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_138
| ~ spl154_140
| ~ spl154_333
| ~ spl154_360
| ~ spl154_369 ),
inference(forward_demodulation,[],[f19354,f1865]) ).
fof(f1865,plain,
( e3 = unit
| ~ spl154_136 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f19354,plain,
( e0 = e3
| ~ spl154_136
| ~ spl154_138
| ~ spl154_140
| ~ spl154_333
| ~ spl154_360
| ~ spl154_369 ),
inference(forward_demodulation,[],[f19353,f1876]) ).
fof(f19353,plain,
( e3 = op(unit,e0)
| ~ spl154_136
| ~ spl154_140
| ~ spl154_333
| ~ spl154_360
| ~ spl154_369 ),
inference(forward_demodulation,[],[f3140,f19306]) ).
fof(f19306,plain,
( e1 = unit
| ~ spl154_136
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f19305,f1865]) ).
fof(f19352,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_378
| ~ spl154_421 ),
inference(avatar_split_clause,[],[f17589,f8844,f3230,f1864,f1859]) ).
fof(f17589,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_378
| ~ spl154_421 ),
inference(forward_demodulation,[],[f11857,f1865]) ).
fof(f11857,plain,
( e0 = e3
| ~ spl154_378
| ~ spl154_421 ),
inference(superposition,[],[f3231,f8846]) ).
fof(f19313,plain,
( spl154_137
| ~ spl154_136
| ~ spl154_141
| ~ spl154_144
| ~ spl154_160
| ~ spl154_349 ),
inference(avatar_split_clause,[],[f16256,f3079,f1979,f1904,f1889,f1864,f1869]) ).
fof(f16256,plain,
( e1 = unit
| ~ spl154_136
| ~ spl154_141
| ~ spl154_144
| ~ spl154_160
| ~ spl154_349 ),
inference(forward_demodulation,[],[f16255,f1865]) ).
fof(f16255,plain,
( e1 = e3
| ~ spl154_136
| ~ spl154_141
| ~ spl154_144
| ~ spl154_160
| ~ spl154_349 ),
inference(forward_demodulation,[],[f16254,f1891]) ).
fof(f16254,plain,
( e3 = op(e1,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_349 ),
inference(forward_demodulation,[],[f3080,f15775]) ).
fof(f15775,plain,
( e4 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160 ),
inference(forward_demodulation,[],[f3825,f3822]) ).
fof(f3822,plain,
( unit = op(unit,unit)
| ~ spl154_136
| ~ spl154_144 ),
inference(superposition,[],[f1906,f1865]) ).
fof(f3825,plain,
( e4 = op(unit,unit)
| ~ spl154_136
| ~ spl154_160 ),
inference(superposition,[],[f1981,f1865]) ).
fof(f19312,plain,
( ~ spl154_334
| ~ spl154_136
| ~ spl154_144
| spl154_164 ),
inference(avatar_split_clause,[],[f15776,f1997,f1904,f1864,f2880]) ).
fof(f1997,plain,
( spl154_164
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_164])]) ).
fof(f15776,plain,
( e2 != unit
| ~ spl154_136
| ~ spl154_144
| spl154_164 ),
inference(forward_demodulation,[],[f3827,f3822]) ).
fof(f3827,plain,
( e2 != op(unit,unit)
| ~ spl154_136
| spl154_164 ),
inference(superposition,[],[f1998,f1865]) ).
fof(f1998,plain,
( e2 != op(e3,e3)
| spl154_164 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f19163,plain,
( spl154_333
| ~ spl154_147
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f5402,f3642,f1919,f2876]) ).
fof(f3642,plain,
( spl154_387
<=> unit = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_387])]) ).
fof(f5402,plain,
( e4 = unit
| ~ spl154_147
| ~ spl154_387 ),
inference(superposition,[],[f3643,f1921]) ).
fof(f3643,plain,
( unit = op(e4,unit)
| ~ spl154_387 ),
inference(avatar_component_clause,[],[f3642]) ).
fof(f19153,plain,
( spl154_280
| spl154_197
| spl154_366
| spl154_431
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160 ),
inference(avatar_split_clause,[],[f17166,f1979,f1904,f1864,f11937,f3168,f2155,f2592]) ).
fof(f2592,plain,
( spl154_280
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_280])]) ).
fof(f2155,plain,
( spl154_197
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_197])]) ).
fof(f17166,plain,
( op(e1,e0) = unit
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160 ),
inference(duplicate_literal_removal,[],[f17165]) ).
fof(f17165,plain,
( op(e1,e0) = unit
| op(e1,e0) = unit
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160 ),
inference(forward_demodulation,[],[f17164,f1865]) ).
fof(f17164,plain,
( op(e1,e0) = unit
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160 ),
inference(forward_demodulation,[],[f950,f15775]) ).
fof(f950,plain,
( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f19140,plain,
( spl154_435
| ~ spl154_136
| ~ spl154_389 ),
inference(avatar_split_clause,[],[f18764,f3663,f1864,f13193]) ).
fof(f13193,plain,
( spl154_435
<=> unit = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_435])]) ).
fof(f3663,plain,
( spl154_389
<=> op(e1,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_389])]) ).
fof(f18764,plain,
( unit = op(e1,unit)
| ~ spl154_136
| ~ spl154_389 ),
inference(forward_demodulation,[],[f3664,f1865]) ).
fof(f3664,plain,
( op(e1,e3) = unit
| ~ spl154_389 ),
inference(avatar_component_clause,[],[f3663]) ).
fof(f19138,plain,
( spl154_387
| ~ spl154_136
| ~ spl154_416 ),
inference(avatar_split_clause,[],[f18903,f5644,f1864,f3642]) ).
fof(f18903,plain,
( unit = op(e4,unit)
| ~ spl154_136
| ~ spl154_416 ),
inference(forward_demodulation,[],[f5646,f1865]) ).
fof(f18856,plain,
( spl154_333
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160 ),
inference(avatar_split_clause,[],[f15775,f1979,f1904,f1864,f2876]) ).
fof(f18853,plain,
( spl154_441
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_353 ),
inference(avatar_split_clause,[],[f18712,f3099,f1979,f1904,f1864,f18850]) ).
fof(f18712,plain,
( op(e0,e2) = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_353 ),
inference(forward_demodulation,[],[f3100,f15775]) ).
fof(f18847,plain,
( spl154_391
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_345 ),
inference(avatar_split_clause,[],[f18697,f3061,f1979,f1904,f1864,f3674]) ).
fof(f18697,plain,
( op(e2,e1) = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_345 ),
inference(forward_demodulation,[],[f3062,f15775]) ).
fof(f18841,plain,
( spl154_427
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_423 ),
inference(avatar_split_clause,[],[f18533,f8873,f1979,f1904,f1864,f11875]) ).
fof(f18533,plain,
( unit = op(e0,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_423 ),
inference(forward_demodulation,[],[f8875,f15775]) ).
fof(f18838,plain,
( ~ spl154_366
| spl154_281
| ~ spl154_385 ),
inference(avatar_split_clause,[],[f18153,f3453,f2598,f3168]) ).
fof(f18153,plain,
( e2 != op(e1,e0)
| spl154_281
| ~ spl154_385 ),
inference(forward_demodulation,[],[f2600,f3455]) ).
fof(f18835,plain,
( ~ spl154_440
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| spl154_365 ),
inference(avatar_split_clause,[],[f18147,f3163,f1979,f1904,f1864,f18818]) ).
fof(f18147,plain,
( e0 != op(unit,e2)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| spl154_365 ),
inference(forward_demodulation,[],[f3164,f15775]) ).
fof(f3164,plain,
( e0 != op(e4,e2)
| spl154_365 ),
inference(avatar_component_clause,[],[f3163]) ).
fof(f18830,plain,
( spl154_438
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_348 ),
inference(avatar_split_clause,[],[f17152,f3074,f1979,f1904,f1864,f18783]) ).
fof(f17152,plain,
( e0 = op(e2,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_348 ),
inference(forward_demodulation,[],[f3076,f15775]) ).
fof(f18825,plain,
( ~ spl154_139
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| spl154_377 ),
inference(avatar_split_clause,[],[f17150,f3225,f1979,f1904,f1864,f1879]) ).
fof(f17150,plain,
( e0 != op(e0,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| spl154_377 ),
inference(forward_demodulation,[],[f3227,f15775]) ).
fof(f3227,plain,
( e0 != op(e0,e4)
| spl154_377 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f18821,plain,
( spl154_440
| ~ spl154_136
| ~ spl154_424 ),
inference(avatar_split_clause,[],[f16971,f8956,f1864,f18818]) ).
fof(f16971,plain,
( e0 = op(unit,e2)
| ~ spl154_136
| ~ spl154_424 ),
inference(forward_demodulation,[],[f8958,f1865]) ).
fof(f18815,plain,
( spl154_439
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_347 ),
inference(avatar_split_clause,[],[f16824,f3070,f1979,f1904,f1864,f18812]) ).
fof(f16824,plain,
( op(e2,e0) = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_347 ),
inference(forward_demodulation,[],[f3071,f15775]) ).
fof(f18808,plain,
( ~ spl154_136
| ~ spl154_369
| spl154_394 ),
inference(avatar_split_clause,[],[f4362,f3689,f3183,f1864]) ).
fof(f4362,plain,
( e3 != unit
| ~ spl154_369
| spl154_394 ),
inference(superposition,[],[f3691,f3185]) ).
fof(f3691,plain,
( op(e4,e1) != unit
| spl154_394 ),
inference(avatar_component_clause,[],[f3689]) ).
fof(f18790,plain,
( spl154_435
| ~ spl154_136
| ~ spl154_399 ),
inference(avatar_split_clause,[],[f16476,f3959,f1864,f13193]) ).
fof(f3959,plain,
( spl154_399
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_399])]) ).
fof(f16476,plain,
( unit = op(e1,unit)
| ~ spl154_136
| ~ spl154_399 ),
inference(forward_demodulation,[],[f3961,f1865]) ).
fof(f3961,plain,
( e3 = op(e1,e3)
| ~ spl154_399 ),
inference(avatar_component_clause,[],[f3959]) ).
fof(f18788,plain,
( ~ spl154_431
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| spl154_352 ),
inference(avatar_split_clause,[],[f16275,f3093,f1979,f1904,f1864,f11937]) ).
fof(f16275,plain,
( op(e1,e0) != unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| spl154_352 ),
inference(forward_demodulation,[],[f3095,f15775]) ).
fof(f3095,plain,
( e4 != op(e1,e0)
| spl154_352 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f18786,plain,
( ~ spl154_438
| ~ spl154_136
| spl154_376 ),
inference(avatar_split_clause,[],[f15925,f3219,f1864,f18783]) ).
fof(f15925,plain,
( e0 != op(e2,unit)
| ~ spl154_136
| spl154_376 ),
inference(forward_demodulation,[],[f3221,f1865]) ).
fof(f3221,plain,
( e0 != op(e2,e3)
| spl154_376 ),
inference(avatar_component_clause,[],[f3219]) ).
fof(f18780,plain,
( ~ spl154_299
| ~ spl154_136
| ~ spl154_143
| spl154_298 ),
inference(avatar_split_clause,[],[f15836,f2690,f1899,f1864,f2696]) ).
fof(f2690,plain,
( spl154_298
<=> op(e2,e0) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_298])]) ).
fof(f15836,plain,
( e2 != op(e2,e0)
| ~ spl154_136
| ~ spl154_143
| spl154_298 ),
inference(forward_demodulation,[],[f15835,f1901]) ).
fof(f15835,plain,
( op(e2,e0) != op(e2,unit)
| ~ spl154_136
| spl154_298 ),
inference(forward_demodulation,[],[f2692,f1865]) ).
fof(f2692,plain,
( op(e2,e0) != op(e2,e3)
| spl154_298 ),
inference(avatar_component_clause,[],[f2690]) ).
fof(f18763,plain,
( ~ spl154_136
| spl154_389
| ~ spl154_399 ),
inference(avatar_split_clause,[],[f4375,f3959,f3663,f1864]) ).
fof(f4375,plain,
( e3 != unit
| spl154_389
| ~ spl154_399 ),
inference(superposition,[],[f3665,f3961]) ).
fof(f3665,plain,
( op(e1,e3) != unit
| spl154_389 ),
inference(avatar_component_clause,[],[f3663]) ).
fof(f18725,plain,
( spl154_137
| ~ spl154_136
| ~ spl154_361
| ~ spl154_406 ),
inference(avatar_split_clause,[],[f18717,f4843,f3145,f1864,f1869]) ).
fof(f18717,plain,
( e1 = unit
| ~ spl154_136
| ~ spl154_361
| ~ spl154_406 ),
inference(forward_demodulation,[],[f18716,f1865]) ).
fof(f18716,plain,
( e1 = e3
| ~ spl154_361
| ~ spl154_406 ),
inference(forward_demodulation,[],[f3146,f4845]) ).
fof(f18673,plain,
( spl154_334
| ~ spl154_136
| ~ spl154_191
| ~ spl154_193 ),
inference(avatar_split_clause,[],[f18547,f2136,f2127,f1864,f2880]) ).
fof(f18547,plain,
( e2 = unit
| ~ spl154_136
| ~ spl154_191
| ~ spl154_193 ),
inference(forward_demodulation,[],[f2138,f17862]) ).
fof(f17862,plain,
( op(e0,e0) = unit
| ~ spl154_136
| ~ spl154_191 ),
inference(forward_demodulation,[],[f2129,f1865]) ).
fof(f18625,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_144
| ~ spl154_150
| ~ spl154_160
| ~ spl154_179 ),
inference(avatar_split_clause,[],[f18544,f2069,f1979,f1934,f1904,f1864,f1859]) ).
fof(f18544,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_150
| ~ spl154_160
| ~ spl154_179 ),
inference(forward_demodulation,[],[f18543,f15775]) ).
fof(f18545,plain,
( spl154_125
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_346
| ~ spl154_348 ),
inference(avatar_split_clause,[],[f18212,f3074,f3065,f1979,f1904,f1864,f1809]) ).
fof(f18212,plain,
( e0 = e1
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_346
| ~ spl154_348 ),
inference(forward_demodulation,[],[f18211,f17152]) ).
fof(f18211,plain,
( e1 = op(e2,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_346 ),
inference(forward_demodulation,[],[f3067,f15775]) ).
fof(f3067,plain,
( e1 = op(e2,e4)
| ~ spl154_346 ),
inference(avatar_component_clause,[],[f3065]) ).
fof(f18480,plain,
( spl154_126
| ~ spl154_136
| ~ spl154_139
| ~ spl154_144
| ~ spl154_160
| ~ spl154_354 ),
inference(avatar_split_clause,[],[f17787,f3103,f1979,f1904,f1879,f1864,f1814]) ).
fof(f17787,plain,
( e0 = e2
| ~ spl154_136
| ~ spl154_139
| ~ spl154_144
| ~ spl154_160
| ~ spl154_354 ),
inference(forward_demodulation,[],[f17786,f1881]) ).
fof(f17786,plain,
( e2 = op(e0,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_354 ),
inference(forward_demodulation,[],[f3105,f15775]) ).
fof(f18409,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_345
| ~ spl154_348
| ~ spl154_369
| ~ spl154_408 ),
inference(avatar_split_clause,[],[f18355,f4851,f3183,f3074,f3061,f1979,f1904,f1864,f1859]) ).
fof(f18355,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_345
| ~ spl154_348
| ~ spl154_369
| ~ spl154_408 ),
inference(forward_demodulation,[],[f18354,f15775]) ).
fof(f18354,plain,
( e0 = e4
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_345
| ~ spl154_348
| ~ spl154_369
| ~ spl154_408 ),
inference(forward_demodulation,[],[f18353,f17152]) ).
fof(f18353,plain,
( e4 = op(e2,unit)
| ~ spl154_136
| ~ spl154_345
| ~ spl154_369
| ~ spl154_408 ),
inference(forward_demodulation,[],[f3062,f18331]) ).
fof(f18331,plain,
( e1 = unit
| ~ spl154_136
| ~ spl154_369
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5358,f1865]) ).
fof(f5358,plain,
( e1 = e3
| ~ spl154_369
| ~ spl154_408 ),
inference(superposition,[],[f4853,f3185]) ).
fof(f4853,plain,
( e1 = op(e4,e1)
| ~ spl154_408 ),
inference(avatar_component_clause,[],[f4851]) ).
fof(f18386,plain,
( spl154_126
| ~ spl154_136
| ~ spl154_138
| ~ spl154_144
| ~ spl154_160
| ~ spl154_364 ),
inference(avatar_split_clause,[],[f18293,f3159,f1979,f1904,f1874,f1864,f1814]) ).
fof(f18293,plain,
( e0 = e2
| ~ spl154_136
| ~ spl154_138
| ~ spl154_144
| ~ spl154_160
| ~ spl154_364 ),
inference(forward_demodulation,[],[f18292,f1876]) ).
fof(f18292,plain,
( e2 = op(unit,e0)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_364 ),
inference(forward_demodulation,[],[f3160,f15775]) ).
fof(f18336,plain,
( spl154_125
| ~ spl154_136
| ~ spl154_138
| ~ spl154_210 ),
inference(avatar_split_clause,[],[f18289,f2225,f1874,f1864,f1809]) ).
fof(f18289,plain,
( e0 = e1
| ~ spl154_136
| ~ spl154_138
| ~ spl154_210 ),
inference(forward_demodulation,[],[f18288,f1876]) ).
fof(f18288,plain,
( e1 = op(unit,e0)
| ~ spl154_136
| ~ spl154_210 ),
inference(forward_demodulation,[],[f2226,f1865]) ).
fof(f18323,plain,
( spl154_137
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_345
| ~ spl154_407 ),
inference(avatar_split_clause,[],[f18227,f4847,f3061,f1979,f1904,f1864,f1869]) ).
fof(f18227,plain,
( e1 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_345
| ~ spl154_407 ),
inference(forward_demodulation,[],[f18226,f15775]) ).
fof(f18287,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_353
| ~ spl154_379 ),
inference(avatar_split_clause,[],[f18191,f3235,f3099,f1979,f1904,f1864,f1859]) ).
fof(f18191,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_353
| ~ spl154_379 ),
inference(forward_demodulation,[],[f18190,f15775]) ).
fof(f18233,plain,
( spl154_126
| ~ spl154_136
| ~ spl154_138
| ~ spl154_338 ),
inference(avatar_split_clause,[],[f18091,f3025,f1874,f1864,f1814]) ).
fof(f18091,plain,
( e0 = e2
| ~ spl154_136
| ~ spl154_138
| ~ spl154_338 ),
inference(forward_demodulation,[],[f18090,f1876]) ).
fof(f18090,plain,
( e2 = op(unit,e0)
| ~ spl154_136
| ~ spl154_338 ),
inference(forward_demodulation,[],[f3026,f1865]) ).
fof(f18136,plain,
( spl154_334
| ~ spl154_136
| ~ spl154_144
| ~ spl154_154
| ~ spl154_160 ),
inference(avatar_split_clause,[],[f18035,f1979,f1952,f1904,f1864,f2880]) ).
fof(f1952,plain,
( spl154_154
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_154])]) ).
fof(f18035,plain,
( e2 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_154
| ~ spl154_160 ),
inference(forward_demodulation,[],[f18034,f3822]) ).
fof(f18034,plain,
( e2 = op(unit,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_154
| ~ spl154_160 ),
inference(forward_demodulation,[],[f1954,f15775]) ).
fof(f1954,plain,
( e2 = op(e4,e4)
| ~ spl154_154 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f18036,plain,
( spl154_334
| ~ spl154_385
| ~ spl154_388 ),
inference(avatar_split_clause,[],[f17915,f3657,f3453,f2880]) ).
fof(f17915,plain,
( e2 = unit
| ~ spl154_385
| ~ spl154_388 ),
inference(forward_demodulation,[],[f3455,f3658]) ).
fof(f17944,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_138
| ~ spl154_144
| ~ spl154_160
| ~ spl154_375 ),
inference(avatar_split_clause,[],[f17869,f3214,f1979,f1904,f1874,f1864,f1859]) ).
fof(f17869,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_138
| ~ spl154_144
| ~ spl154_160
| ~ spl154_375 ),
inference(forward_demodulation,[],[f17868,f15775]) ).
fof(f17868,plain,
( e0 = e4
| ~ spl154_136
| ~ spl154_138
| ~ spl154_375 ),
inference(forward_demodulation,[],[f17867,f1876]) ).
fof(f17867,plain,
( e4 = op(unit,e0)
| ~ spl154_136
| ~ spl154_375 ),
inference(forward_demodulation,[],[f3216,f1865]) ).
fof(f17864,plain,
( spl154_334
| ~ spl154_136
| ~ spl154_139
| ~ spl154_144
| ~ spl154_160
| ~ spl154_354
| ~ spl154_378
| ~ spl154_421 ),
inference(avatar_split_clause,[],[f17788,f8844,f3230,f3103,f1979,f1904,f1879,f1864,f2880]) ).
fof(f17788,plain,
( e2 = unit
| ~ spl154_136
| ~ spl154_139
| ~ spl154_144
| ~ spl154_160
| ~ spl154_354
| ~ spl154_378
| ~ spl154_421 ),
inference(forward_demodulation,[],[f17787,f17589]) ).
fof(f17700,plain,
( ~ spl154_187
| ~ spl154_193
| spl154_207 ),
inference(avatar_contradiction_clause,[],[f17699]) ).
fof(f17699,plain,
( $false
| ~ spl154_187
| ~ spl154_193
| spl154_207 ),
inference(trivial_inequality_removal,[],[f17698]) ).
fof(f17698,plain,
( op(e1,e0) != op(e1,e0)
| ~ spl154_187
| ~ spl154_193
| spl154_207 ),
inference(forward_demodulation,[],[f2210,f17686]) ).
fof(f17686,plain,
( e1 = e2
| ~ spl154_187
| ~ spl154_193 ),
inference(forward_demodulation,[],[f2138,f2111]) ).
fof(f2210,plain,
( op(e1,e0) != op(e2,e0)
| spl154_207 ),
inference(avatar_component_clause,[],[f2208]) ).
fof(f2208,plain,
( spl154_207
<=> op(e1,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_207])]) ).
fof(f17685,plain,
( spl154_129
| ~ spl154_354
| ~ spl154_356 ),
inference(avatar_split_clause,[],[f17582,f3112,f3103,f1829]) ).
fof(f17582,plain,
( e1 = e2
| ~ spl154_354
| ~ spl154_356 ),
inference(forward_demodulation,[],[f3105,f3114]) ).
fof(f17593,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_373 ),
inference(avatar_split_clause,[],[f17463,f3204,f1979,f1904,f1864,f1859]) ).
fof(f17463,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_373 ),
inference(forward_demodulation,[],[f17462,f3822]) ).
fof(f17462,plain,
( e0 = op(unit,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_373 ),
inference(forward_demodulation,[],[f17461,f15775]) ).
fof(f17461,plain,
( e0 = op(e4,unit)
| ~ spl154_136
| ~ spl154_373 ),
inference(forward_demodulation,[],[f3205,f1865]) ).
fof(f17499,plain,
( spl154_334
| ~ spl154_136
| ~ spl154_336
| ~ spl154_354 ),
inference(avatar_split_clause,[],[f17375,f3103,f3014,f1864,f2880]) ).
fof(f17375,plain,
( e2 = unit
| ~ spl154_136
| ~ spl154_336
| ~ spl154_354 ),
inference(forward_demodulation,[],[f17374,f1865]) ).
fof(f17374,plain,
( e2 = e3
| ~ spl154_336
| ~ spl154_354 ),
inference(forward_demodulation,[],[f3105,f3015]) ).
fof(f17473,plain,
( spl154_125
| ~ spl154_187
| ~ spl154_196 ),
inference(avatar_split_clause,[],[f17320,f2150,f2109,f1809]) ).
fof(f2150,plain,
( spl154_196
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_196])]) ).
fof(f17320,plain,
( e0 = e1
| ~ spl154_187
| ~ spl154_196 ),
inference(forward_demodulation,[],[f2111,f2152]) ).
fof(f2152,plain,
( e0 = op(e0,e0)
| ~ spl154_196 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f17380,plain,
( spl154_334
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_299
| ~ spl154_347 ),
inference(avatar_split_clause,[],[f17243,f3070,f2696,f1979,f1904,f1864,f2880]) ).
fof(f17243,plain,
( e2 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_299
| ~ spl154_347 ),
inference(forward_demodulation,[],[f2697,f16824]) ).
fof(f17262,plain,
( ~ spl154_136
| ~ spl154_139
| ~ spl154_248
| spl154_281 ),
inference(avatar_contradiction_clause,[],[f17261]) ).
fof(f17261,plain,
( $false
| ~ spl154_136
| ~ spl154_139
| ~ spl154_248
| spl154_281 ),
inference(trivial_inequality_removal,[],[f17260]) ).
fof(f17260,plain,
( op(e1,e0) != op(e1,e0)
| ~ spl154_136
| ~ spl154_139
| ~ spl154_248
| spl154_281 ),
inference(forward_demodulation,[],[f2600,f17249]) ).
fof(f17249,plain,
( e0 = e2
| ~ spl154_136
| ~ spl154_139
| ~ spl154_248 ),
inference(forward_demodulation,[],[f17248,f1881]) ).
fof(f17248,plain,
( e2 = op(e0,unit)
| ~ spl154_136
| ~ spl154_248 ),
inference(forward_demodulation,[],[f2429,f1865]) ).
fof(f17252,plain,
( spl154_125
| ~ spl154_150
| ~ spl154_185 ),
inference(avatar_split_clause,[],[f15771,f2099,f1934,f1809]) ).
fof(f2099,plain,
( spl154_185
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_185])]) ).
fof(f15771,plain,
( e0 = e1
| ~ spl154_150
| ~ spl154_185 ),
inference(forward_demodulation,[],[f2101,f1936]) ).
fof(f2101,plain,
( e1 = op(e1,e1)
| ~ spl154_185 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f17079,plain,
( ~ spl154_193
| ~ spl154_196
| spl154_281 ),
inference(avatar_contradiction_clause,[],[f17078]) ).
fof(f17078,plain,
( $false
| ~ spl154_193
| ~ spl154_196
| spl154_281 ),
inference(trivial_inequality_removal,[],[f17077]) ).
fof(f17077,plain,
( op(e1,e0) != op(e1,e0)
| ~ spl154_193
| ~ spl154_196
| spl154_281 ),
inference(forward_demodulation,[],[f2600,f15498]) ).
fof(f15498,plain,
( e0 = e2
| ~ spl154_193
| ~ spl154_196 ),
inference(forward_demodulation,[],[f2138,f2152]) ).
fof(f17030,plain,
( spl154_334
| ~ spl154_356
| ~ spl154_377
| ~ spl154_385
| ~ spl154_388 ),
inference(avatar_split_clause,[],[f16973,f3657,f3453,f3225,f3112,f2880]) ).
fof(f16973,plain,
( e2 = unit
| ~ spl154_356
| ~ spl154_377
| ~ spl154_385
| ~ spl154_388 ),
inference(forward_demodulation,[],[f16972,f16970]) ).
fof(f16970,plain,
( op(e0,e2) = unit
| ~ spl154_356
| ~ spl154_377
| ~ spl154_388 ),
inference(forward_demodulation,[],[f3658,f15445]) ).
fof(f16945,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_347
| ~ spl154_409 ),
inference(avatar_split_clause,[],[f16863,f4867,f3070,f1979,f1904,f1864,f1859]) ).
fof(f16863,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_347
| ~ spl154_409 ),
inference(forward_demodulation,[],[f4869,f16824]) ).
fof(f16742,plain,
( ~ spl154_136
| ~ spl154_140
| ~ spl154_199
| spl154_207 ),
inference(avatar_contradiction_clause,[],[f16741]) ).
fof(f16741,plain,
( $false
| ~ spl154_136
| ~ spl154_140
| ~ spl154_199
| spl154_207 ),
inference(trivial_inequality_removal,[],[f16740]) ).
fof(f16740,plain,
( op(e1,e0) != op(e1,e0)
| ~ spl154_136
| ~ spl154_140
| ~ spl154_199
| spl154_207 ),
inference(forward_demodulation,[],[f2210,f16015]) ).
fof(f16015,plain,
( e1 = e2
| ~ spl154_136
| ~ spl154_140
| ~ spl154_199 ),
inference(forward_demodulation,[],[f15956,f1886]) ).
fof(f15956,plain,
( e2 = op(unit,e1)
| ~ spl154_136
| ~ spl154_199 ),
inference(superposition,[],[f2167,f1865]) ).
fof(f16684,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_144
| ~ spl154_158
| ~ spl154_160 ),
inference(avatar_split_clause,[],[f15941,f1979,f1970,f1904,f1864,f1859]) ).
fof(f15941,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_158
| ~ spl154_160 ),
inference(forward_demodulation,[],[f15940,f3822]) ).
fof(f15940,plain,
( e0 = op(unit,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_158
| ~ spl154_160 ),
inference(forward_demodulation,[],[f1972,f15775]) ).
fof(f16627,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_139
| ~ spl154_199
| ~ spl154_248
| ~ spl154_393 ),
inference(avatar_split_clause,[],[f16491,f3684,f2428,f2165,f1879,f1864,f1859]) ).
fof(f16491,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_139
| ~ spl154_199
| ~ spl154_248
| ~ spl154_393 ),
inference(forward_demodulation,[],[f16490,f12721]) ).
fof(f12721,plain,
( e2 = unit
| ~ spl154_199
| ~ spl154_393 ),
inference(superposition,[],[f3685,f2167]) ).
fof(f16490,plain,
( e0 = e2
| ~ spl154_136
| ~ spl154_139
| ~ spl154_248 ),
inference(forward_demodulation,[],[f16489,f1881]) ).
fof(f16489,plain,
( e2 = op(e0,unit)
| ~ spl154_136
| ~ spl154_248 ),
inference(forward_demodulation,[],[f2429,f1865]) ).
fof(f16511,plain,
( spl154_137
| ~ spl154_136
| ~ spl154_140
| ~ spl154_144
| ~ spl154_150
| ~ spl154_160
| ~ spl154_199
| ~ spl154_373
| ~ spl154_385 ),
inference(avatar_split_clause,[],[f16407,f3453,f3204,f2165,f1979,f1934,f1904,f1884,f1864,f1869]) ).
fof(f16407,plain,
( e1 = unit
| ~ spl154_136
| ~ spl154_140
| ~ spl154_144
| ~ spl154_150
| ~ spl154_160
| ~ spl154_199
| ~ spl154_373
| ~ spl154_385 ),
inference(forward_demodulation,[],[f16129,f16079]) ).
fof(f16079,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_373 ),
inference(forward_demodulation,[],[f16078,f3822]) ).
fof(f16078,plain,
( e0 = op(unit,unit)
| ~ spl154_136
| ~ spl154_144
| ~ spl154_160
| ~ spl154_373 ),
inference(forward_demodulation,[],[f15995,f15775]) ).
fof(f15995,plain,
( e0 = op(e4,unit)
| ~ spl154_136
| ~ spl154_373 ),
inference(superposition,[],[f3205,f1865]) ).
fof(f16129,plain,
( e0 = e1
| ~ spl154_136
| ~ spl154_140
| ~ spl154_150
| ~ spl154_199
| ~ spl154_385 ),
inference(forward_demodulation,[],[f16128,f1936]) ).
fof(f16128,plain,
( e1 = op(e1,e1)
| ~ spl154_136
| ~ spl154_140
| ~ spl154_199
| ~ spl154_385 ),
inference(forward_demodulation,[],[f3455,f16015]) ).
fof(f16480,plain,
( ~ spl154_136
| spl154_421
| ~ spl154_436 ),
inference(avatar_split_clause,[],[f15540,f13210,f8844,f1864]) ).
fof(f15540,plain,
( e3 != unit
| spl154_421
| ~ spl154_436 ),
inference(forward_demodulation,[],[f8845,f13212]) ).
fof(f13212,plain,
( op(e0,e3) = unit
| ~ spl154_436 ),
inference(avatar_component_clause,[],[f13210]) ).
fof(f8845,plain,
( e3 != op(e0,e3)
| spl154_421 ),
inference(avatar_component_clause,[],[f8844]) ).
fof(f16382,plain,
( spl154_135
| ~ spl154_136
| ~ spl154_141
| ~ spl154_144
| ~ spl154_150
| ~ spl154_160
| ~ spl154_185
| ~ spl154_349 ),
inference(avatar_split_clause,[],[f16311,f3079,f2099,f1979,f1934,f1904,f1889,f1864,f1859]) ).
fof(f16311,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_141
| ~ spl154_144
| ~ spl154_150
| ~ spl154_160
| ~ spl154_185
| ~ spl154_349 ),
inference(forward_demodulation,[],[f9024,f16256]) ).
fof(f9024,plain,
( e0 = e1
| ~ spl154_150
| ~ spl154_185 ),
inference(forward_demodulation,[],[f2101,f1936]) ).
fof(f16269,plain,
( spl154_334
| ~ spl154_136
| ~ spl154_144
| ~ spl154_193
| ~ spl154_196
| ~ spl154_429 ),
inference(avatar_split_clause,[],[f16115,f11922,f2150,f2136,f1904,f1864,f2880]) ).
fof(f11922,plain,
( spl154_429
<=> e0 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_429])]) ).
fof(f16115,plain,
( e2 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_193
| ~ spl154_196
| ~ spl154_429 ),
inference(forward_demodulation,[],[f15498,f16087]) ).
fof(f16087,plain,
( e0 = unit
| ~ spl154_136
| ~ spl154_144
| ~ spl154_429 ),
inference(forward_demodulation,[],[f16007,f3822]) ).
fof(f16007,plain,
( e0 = op(unit,unit)
| ~ spl154_136
| ~ spl154_429 ),
inference(superposition,[],[f11923,f1865]) ).
fof(f11923,plain,
( e0 = op(e3,unit)
| ~ spl154_429 ),
inference(avatar_component_clause,[],[f11922]) ).
fof(f16089,plain,
( spl154_135
| ~ spl154_141
| ~ spl154_150
| ~ spl154_185
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f15772,f13193,f2099,f1934,f1889,f1859]) ).
fof(f15772,plain,
( e0 = unit
| ~ spl154_141
| ~ spl154_150
| ~ spl154_185
| ~ spl154_435 ),
inference(forward_demodulation,[],[f15771,f13218]) ).
fof(f13218,plain,
( e1 = unit
| ~ spl154_141
| ~ spl154_435 ),
inference(superposition,[],[f13195,f1891]) ).
fof(f13195,plain,
( unit = op(e1,unit)
| ~ spl154_435 ),
inference(avatar_component_clause,[],[f13193]) ).
fof(f15773,plain,
( spl154_334
| ~ spl154_141
| ~ spl154_193
| ~ spl154_196
| ~ spl154_356
| ~ spl154_377
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f15499,f13193,f3225,f3112,f2150,f2136,f1889,f2880]) ).
fof(f15499,plain,
( e2 = unit
| ~ spl154_141
| ~ spl154_193
| ~ spl154_196
| ~ spl154_356
| ~ spl154_377
| ~ spl154_435 ),
inference(forward_demodulation,[],[f15498,f15451]) ).
fof(f15451,plain,
( e0 = unit
| ~ spl154_141
| ~ spl154_356
| ~ spl154_377
| ~ spl154_435 ),
inference(forward_demodulation,[],[f15449,f13218]) ).
fof(f15449,plain,
( e0 = e1
| ~ spl154_356
| ~ spl154_377 ),
inference(superposition,[],[f3114,f3226]) ).
fof(f15768,plain,
( ~ spl154_195
| ~ spl154_196 ),
inference(avatar_split_clause,[],[f15682,f2150,f2146]) ).
fof(f2146,plain,
( spl154_195
<=> sP130 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_195])]) ).
fof(f15682,plain,
( ~ sP130
| ~ spl154_196 ),
inference(trivial_inequality_removal,[],[f15681]) ).
fof(f15681,plain,
( e0 != e0
| ~ sP130
| ~ spl154_196 ),
inference(forward_demodulation,[],[f390,f2152]) ).
fof(f390,plain,
( e0 != op(e0,e0)
| ~ sP130 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP130 ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f15495,plain,
( spl154_426
| ~ spl154_141
| ~ spl154_431
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f14251,f13193,f11937,f1889,f10577]) ).
fof(f10577,plain,
( spl154_426
<=> unit = op(unit,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_426])]) ).
fof(f14251,plain,
( unit = op(unit,e0)
| ~ spl154_141
| ~ spl154_431
| ~ spl154_435 ),
inference(forward_demodulation,[],[f11938,f13218]) ).
fof(f15487,plain,
( spl154_437
| ~ spl154_334
| ~ spl154_376 ),
inference(avatar_split_clause,[],[f13765,f3219,f2880,f15484]) ).
fof(f13765,plain,
( e0 = op(unit,e3)
| ~ spl154_334
| ~ spl154_376 ),
inference(forward_demodulation,[],[f3220,f2881]) ).
fof(f2881,plain,
( e2 = unit
| ~ spl154_334 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f15482,plain,
( spl154_427
| ~ spl154_141
| ~ spl154_434
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f13244,f13193,f13020,f1889,f11875]) ).
fof(f13020,plain,
( spl154_434
<=> op(e0,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_434])]) ).
fof(f13244,plain,
( unit = op(e0,unit)
| ~ spl154_141
| ~ spl154_434
| ~ spl154_435 ),
inference(forward_demodulation,[],[f13022,f13218]) ).
fof(f13022,plain,
( op(e0,e1) = unit
| ~ spl154_434 ),
inference(avatar_component_clause,[],[f13020]) ).
fof(f15452,plain,
( spl154_135
| ~ spl154_138
| ~ spl154_426 ),
inference(avatar_split_clause,[],[f13207,f10577,f1874,f1859]) ).
fof(f13207,plain,
( e0 = unit
| ~ spl154_138
| ~ spl154_426 ),
inference(superposition,[],[f10578,f1876]) ).
fof(f10578,plain,
( unit = op(unit,e0)
| ~ spl154_426 ),
inference(avatar_component_clause,[],[f10577]) ).
fof(f15411,plain,
( ~ spl154_120
| spl154_134
| ~ spl154_156
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f13350,f3183,f1961,f1854,f1781]) ).
fof(f1781,plain,
( spl154_120
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_120])]) ).
fof(f1854,plain,
( spl154_134
<=> e3 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_134])]) ).
fof(f1961,plain,
( spl154_156
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_156])]) ).
fof(f13350,plain,
( e3 = e4
| ~ sP49
| ~ spl154_156
| ~ spl154_369 ),
inference(forward_demodulation,[],[f13320,f3185]) ).
fof(f13320,plain,
( e4 = op(e4,e1)
| ~ sP49
| ~ spl154_156 ),
inference(trivial_inequality_removal,[],[f2983]) ).
fof(f2983,plain,
( e1 != e1
| e4 = op(e4,e1)
| ~ sP49
| ~ spl154_156 ),
inference(forward_demodulation,[],[f666,f1963]) ).
fof(f1963,plain,
( e1 = op(e4,e4)
| ~ spl154_156 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f666,plain,
( e4 = op(e4,e1)
| e1 != op(e4,e4)
| ~ sP49 ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4)
| ~ sP49 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4)
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f15393,plain,
( spl154_135
| ~ spl154_138
| ~ spl154_141
| ~ spl154_334
| ~ spl154_366
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f15391,f13193,f3168,f2880,f1889,f1874,f1859]) ).
fof(f15391,plain,
( e0 = unit
| ~ spl154_138
| ~ spl154_141
| ~ spl154_334
| ~ spl154_366
| ~ spl154_435 ),
inference(forward_demodulation,[],[f15390,f2881]) ).
fof(f15390,plain,
( e0 = e2
| ~ spl154_138
| ~ spl154_141
| ~ spl154_366
| ~ spl154_435 ),
inference(forward_demodulation,[],[f15389,f1876]) ).
fof(f15389,plain,
( e2 = op(unit,e0)
| ~ spl154_141
| ~ spl154_366
| ~ spl154_435 ),
inference(forward_demodulation,[],[f3169,f13218]) ).
fof(f15387,plain,
( spl154_333
| ~ spl154_334
| ~ spl154_342
| ~ spl154_364 ),
inference(avatar_split_clause,[],[f15385,f3159,f3045,f2880,f2876]) ).
fof(f3045,plain,
( spl154_342
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_342])]) ).
fof(f15385,plain,
( e4 = unit
| ~ spl154_334
| ~ spl154_342
| ~ spl154_364 ),
inference(forward_demodulation,[],[f15384,f2881]) ).
fof(f15384,plain,
( e2 = e4
| ~ spl154_342
| ~ spl154_364 ),
inference(forward_demodulation,[],[f3160,f3046]) ).
fof(f3046,plain,
( e4 = op(e4,e0)
| ~ spl154_342 ),
inference(avatar_component_clause,[],[f3045]) ).
fof(f15377,plain,
( spl154_136
| ~ spl154_334
| ~ spl154_338
| ~ spl154_359 ),
inference(avatar_split_clause,[],[f15374,f3134,f3025,f2880,f1864]) ).
fof(f15374,plain,
( e3 = unit
| ~ spl154_334
| ~ spl154_338
| ~ spl154_359 ),
inference(forward_demodulation,[],[f3135,f13841]) ).
fof(f13841,plain,
( op(e3,e0) = unit
| ~ spl154_334
| ~ spl154_338 ),
inference(forward_demodulation,[],[f3026,f2881]) ).
fof(f14996,plain,
( spl154_135
| ~ spl154_141
| ~ spl154_156
| ~ spl154_158
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f14961,f13193,f1970,f1961,f1889,f1859]) ).
fof(f14961,plain,
( e0 = unit
| ~ spl154_141
| ~ spl154_156
| ~ spl154_158
| ~ spl154_435 ),
inference(forward_demodulation,[],[f1972,f13785]) ).
fof(f13785,plain,
( op(e4,e4) = unit
| ~ spl154_141
| ~ spl154_156
| ~ spl154_435 ),
inference(forward_demodulation,[],[f1963,f13218]) ).
fof(f14962,plain,
( spl154_333
| ~ spl154_342
| ~ spl154_349
| ~ spl154_370
| ~ spl154_390 ),
inference(avatar_split_clause,[],[f14942,f3668,f3189,f3079,f3045,f2876]) ).
fof(f3668,plain,
( spl154_390
<=> op(e1,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_390])]) ).
fof(f14942,plain,
( e4 = unit
| ~ spl154_342
| ~ spl154_349
| ~ spl154_370
| ~ spl154_390 ),
inference(forward_demodulation,[],[f3046,f14927]) ).
fof(f14927,plain,
( op(e4,e0) = unit
| ~ spl154_349
| ~ spl154_370
| ~ spl154_390 ),
inference(forward_demodulation,[],[f3190,f14925]) ).
fof(f14925,plain,
( e3 = unit
| ~ spl154_349
| ~ spl154_390 ),
inference(forward_demodulation,[],[f3080,f3669]) ).
fof(f3669,plain,
( op(e1,e4) = unit
| ~ spl154_390 ),
inference(avatar_component_clause,[],[f3668]) ).
fof(f14926,plain,
( spl154_128
| ~ spl154_342
| ~ spl154_411 ),
inference(avatar_split_clause,[],[f14192,f4875,f3045,f1824]) ).
fof(f1824,plain,
( spl154_128
<=> e0 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_128])]) ).
fof(f14192,plain,
( e0 = e4
| ~ spl154_342
| ~ spl154_411 ),
inference(forward_demodulation,[],[f3046,f4877]) ).
fof(f14193,plain,
( spl154_127
| ~ spl154_138
| ~ spl154_141
| ~ spl154_360
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f14189,f13193,f3139,f1889,f1874,f1819]) ).
fof(f14189,plain,
( e0 = e3
| ~ spl154_138
| ~ spl154_141
| ~ spl154_360
| ~ spl154_435 ),
inference(forward_demodulation,[],[f14188,f1876]) ).
fof(f14188,plain,
( e3 = op(unit,e0)
| ~ spl154_141
| ~ spl154_360
| ~ spl154_435 ),
inference(forward_demodulation,[],[f3140,f13218]) ).
fof(f14148,plain,
( spl154_128
| ~ spl154_138
| ~ spl154_141
| ~ spl154_352
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f14147,f13193,f3093,f1889,f1874,f1824]) ).
fof(f14147,plain,
( e0 = e4
| ~ spl154_138
| ~ spl154_141
| ~ spl154_352
| ~ spl154_435 ),
inference(forward_demodulation,[],[f14146,f1876]) ).
fof(f14146,plain,
( e4 = op(unit,e0)
| ~ spl154_141
| ~ spl154_352
| ~ spl154_435 ),
inference(forward_demodulation,[],[f3094,f13218]) ).
fof(f13931,plain,
( spl154_135
| ~ spl154_334
| ~ spl154_338
| ~ spl154_410 ),
inference(avatar_split_clause,[],[f13842,f4871,f3025,f2880,f1859]) ).
fof(f13842,plain,
( e0 = unit
| ~ spl154_334
| ~ spl154_338
| ~ spl154_410 ),
inference(forward_demodulation,[],[f4873,f13841]) ).
fof(f13930,plain,
( ~ spl154_200
| ~ spl154_334
| ~ spl154_432 ),
inference(avatar_split_clause,[],[f13863,f12741,f2880,f2171]) ).
fof(f2171,plain,
( spl154_200
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_200])]) ).
fof(f12741,plain,
( spl154_432
<=> op(e4,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_432])]) ).
fof(f13863,plain,
( ~ sP73
| ~ spl154_334
| ~ spl154_432 ),
inference(trivial_inequality_removal,[],[f13862]) ).
fof(f13862,plain,
( unit != unit
| ~ sP73
| ~ spl154_334
| ~ spl154_432 ),
inference(forward_demodulation,[],[f13372,f12742]) ).
fof(f12742,plain,
( op(e4,e3) = unit
| ~ spl154_432 ),
inference(avatar_component_clause,[],[f12741]) ).
fof(f13372,plain,
( op(e4,e3) != unit
| ~ sP73
| ~ spl154_334 ),
inference(trivial_inequality_removal,[],[f13371]) ).
fof(f13371,plain,
( unit != unit
| op(e4,e3) != unit
| ~ sP73
| ~ spl154_334 ),
inference(forward_demodulation,[],[f1021,f2881]) ).
fof(f1021,plain,
( e2 != unit
| op(e4,e3) != unit
| ~ sP73 ),
inference(inner_rewriting,[],[f619]) ).
fof(f619,plain,
( e2 != unit
| e2 != op(e4,e3)
| ~ sP73 ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3)
| ~ sP73 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3)
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f13823,plain,
( spl154_135
| ~ spl154_257
| ~ spl154_334
| ~ spl154_373 ),
inference(avatar_split_clause,[],[f13780,f3204,f2880,f2476,f1859]) ).
fof(f2476,plain,
( spl154_257
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_257])]) ).
fof(f13780,plain,
( e0 = unit
| ~ spl154_257
| ~ spl154_334
| ~ spl154_373 ),
inference(forward_demodulation,[],[f13779,f2881]) ).
fof(f13779,plain,
( e0 = e2
| ~ spl154_257
| ~ spl154_373 ),
inference(forward_demodulation,[],[f2477,f3205]) ).
fof(f2477,plain,
( e2 = op(e4,e3)
| ~ spl154_257 ),
inference(avatar_component_clause,[],[f2476]) ).
fof(f13588,plain,
( spl154_333
| ~ spl154_138
| ~ spl154_141
| ~ spl154_352
| ~ spl154_426
| ~ spl154_435 ),
inference(avatar_split_clause,[],[f13525,f13193,f10577,f3093,f1889,f1874,f2876]) ).
fof(f13525,plain,
( e4 = unit
| ~ spl154_138
| ~ spl154_141
| ~ spl154_352
| ~ spl154_426
| ~ spl154_435 ),
inference(forward_demodulation,[],[f13316,f13218]) ).
fof(f13316,plain,
( e1 = e4
| ~ spl154_138
| ~ spl154_141
| ~ spl154_352
| ~ spl154_426 ),
inference(forward_demodulation,[],[f13315,f1891]) ).
fof(f13315,plain,
( e4 = op(e1,unit)
| ~ spl154_138
| ~ spl154_352
| ~ spl154_426 ),
inference(forward_demodulation,[],[f3094,f13207]) ).
fof(f13504,plain,
( spl154_333
| ~ spl154_138
| ~ spl154_147
| ~ spl154_257
| ~ spl154_334
| ~ spl154_370
| ~ spl154_411
| ~ spl154_426 ),
inference(avatar_split_clause,[],[f13462,f10577,f4875,f3189,f2880,f2476,f1919,f1874,f2876]) ).
fof(f13462,plain,
( e4 = unit
| ~ spl154_138
| ~ spl154_147
| ~ spl154_257
| ~ spl154_334
| ~ spl154_370
| ~ spl154_411
| ~ spl154_426 ),
inference(forward_demodulation,[],[f13461,f2881]) ).
fof(f13461,plain,
( e2 = e4
| ~ spl154_138
| ~ spl154_147
| ~ spl154_257
| ~ spl154_370
| ~ spl154_411
| ~ spl154_426 ),
inference(forward_demodulation,[],[f13460,f1921]) ).
fof(f13460,plain,
( e2 = op(e4,unit)
| ~ spl154_138
| ~ spl154_257
| ~ spl154_370
| ~ spl154_411
| ~ spl154_426 ),
inference(forward_demodulation,[],[f2477,f13451]) ).
fof(f13451,plain,
( e3 = unit
| ~ spl154_138
| ~ spl154_370
| ~ spl154_411
| ~ spl154_426 ),
inference(forward_demodulation,[],[f11686,f13207]) ).
fof(f13433,plain,
( spl154_136
| ~ spl154_138
| ~ spl154_144
| ~ spl154_146
| ~ spl154_257
| ~ spl154_334
| ~ spl154_426
| ~ spl154_433 ),
inference(avatar_split_clause,[],[f13387,f12755,f10577,f2880,f2476,f1914,f1904,f1874,f1864]) ).
fof(f1914,plain,
( spl154_146
<=> e4 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_146])]) ).
fof(f12755,plain,
( spl154_433
<=> e0 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_433])]) ).
fof(f13387,plain,
( e3 = unit
| ~ spl154_138
| ~ spl154_144
| ~ spl154_146
| ~ spl154_257
| ~ spl154_334
| ~ spl154_426
| ~ spl154_433 ),
inference(forward_demodulation,[],[f13386,f2881]) ).
fof(f13386,plain,
( e2 = e3
| ~ spl154_138
| ~ spl154_144
| ~ spl154_146
| ~ spl154_257
| ~ spl154_426
| ~ spl154_433 ),
inference(forward_demodulation,[],[f13385,f1906]) ).
fof(f13385,plain,
( e2 = op(unit,e3)
| ~ spl154_138
| ~ spl154_146
| ~ spl154_257
| ~ spl154_426
| ~ spl154_433 ),
inference(forward_demodulation,[],[f13384,f13207]) ).
fof(f13384,plain,
( e2 = op(e0,e3)
| ~ spl154_146
| ~ spl154_257
| ~ spl154_433 ),
inference(forward_demodulation,[],[f2477,f13203]) ).
fof(f13203,plain,
( e0 = e4
| ~ spl154_146
| ~ spl154_433 ),
inference(superposition,[],[f12757,f1916]) ).
fof(f1916,plain,
( e4 = op(unit,e4)
| ~ spl154_146 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f12757,plain,
( e0 = op(unit,e4)
| ~ spl154_433 ),
inference(avatar_component_clause,[],[f12755]) ).
fof(f13383,plain,
( spl154_127
| ~ spl154_343
| ~ spl154_374 ),
inference(avatar_split_clause,[],[f11751,f3210,f3050,f1819]) ).
fof(f11751,plain,
( e0 = e3
| ~ spl154_343
| ~ spl154_374 ),
inference(superposition,[],[f3211,f3052]) ).
fof(f13369,plain,
( ~ spl154_334
| spl154_154
| ~ spl154_404 ),
inference(avatar_split_clause,[],[f8525,f4639,f1952,f2880]) ).
fof(f4639,plain,
( spl154_404
<=> op(e4,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_404])]) ).
fof(f8525,plain,
( e2 != unit
| spl154_154
| ~ spl154_404 ),
inference(forward_demodulation,[],[f1953,f4641]) ).
fof(f4641,plain,
( op(e4,e4) = unit
| ~ spl154_404 ),
inference(avatar_component_clause,[],[f4639]) ).
fof(f1953,plain,
( e2 != op(e4,e4)
| spl154_154 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f13366,plain,
( ~ spl154_334
| ~ spl154_385
| spl154_388 ),
inference(avatar_split_clause,[],[f8426,f3657,f3453,f2880]) ).
fof(f8426,plain,
( e2 != unit
| ~ spl154_385
| spl154_388 ),
inference(superposition,[],[f3659,f3455]) ).
fof(f3659,plain,
( op(e1,e2) != unit
| spl154_388 ),
inference(avatar_component_clause,[],[f3657]) ).
fof(f13365,plain,
( spl154_280
| spl154_197
| spl154_360
| spl154_352
| spl154_431
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f12500,f2880,f11937,f3093,f3139,f2155,f2592]) ).
fof(f12500,plain,
( op(e1,e0) = unit
| e4 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| ~ spl154_334 ),
inference(forward_demodulation,[],[f950,f2881]) ).
fof(f13364,plain,
( spl154_158
| spl154_156
| spl154_152
| spl154_335
| spl154_404
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f11042,f2880,f4639,f2885,f1943,f1961,f1970]) ).
fof(f2885,plain,
( spl154_335
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_335])]) ).
fof(f11042,plain,
( op(e4,e4) = unit
| e4 = op(e4,e4)
| e3 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4)
| ~ spl154_334 ),
inference(forward_demodulation,[],[f969,f2881]) ).
fof(f969,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f13358,plain,
( spl154_404
| spl154_432
| spl154_333
| spl154_136
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370 ),
inference(avatar_split_clause,[],[f12804,f3189,f3183,f2880,f1919,f1864,f2876,f12741,f4639]) ).
fof(f12804,plain,
( e3 = unit
| e4 = unit
| op(e4,e3) = unit
| op(e4,e4) = unit
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370 ),
inference(duplicate_literal_removal,[],[f12803]) ).
fof(f12803,plain,
( e3 = unit
| e3 = unit
| e4 = unit
| op(e4,e3) = unit
| op(e4,e4) = unit
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370 ),
inference(forward_demodulation,[],[f12802,f2881]) ).
fof(f12802,plain,
( e2 = e3
| e3 = unit
| e4 = unit
| op(e4,e3) = unit
| op(e4,e4) = unit
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370 ),
inference(forward_demodulation,[],[f11679,f3190]) ).
fof(f11679,plain,
( e3 = unit
| e4 = unit
| op(e4,e3) = unit
| op(e4,e4) = unit
| e2 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369 ),
inference(forward_demodulation,[],[f11678,f2881]) ).
fof(f11678,plain,
( e2 = e3
| e4 = unit
| op(e4,e3) = unit
| op(e4,e4) = unit
| e2 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369 ),
inference(forward_demodulation,[],[f11677,f3185]) ).
fof(f11677,plain,
( e4 = unit
| op(e4,e3) = unit
| op(e4,e4) = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334 ),
inference(forward_demodulation,[],[f11676,f1921]) ).
fof(f11676,plain,
( unit = op(e4,unit)
| op(e4,e3) = unit
| op(e4,e4) = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_334 ),
inference(forward_demodulation,[],[f11675,f2881]) ).
fof(f11675,plain,
( op(e4,e3) = unit
| op(e4,e4) = unit
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_334 ),
inference(forward_demodulation,[],[f11674,f2881]) ).
fof(f11674,plain,
( op(e4,e4) = unit
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_334 ),
inference(forward_demodulation,[],[f939,f2881]) ).
fof(f939,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f13319,plain,
( spl154_368
| spl154_156
| spl154_131
| spl154_130
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370 ),
inference(avatar_split_clause,[],[f12791,f3189,f3183,f2880,f1919,f1834,f1839,f1961,f3179]) ).
fof(f3179,plain,
( spl154_368
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_368])]) ).
fof(f1839,plain,
( spl154_131
<=> e1 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_131])]) ).
fof(f12791,plain,
( e1 = e3
| e1 = e4
| e1 = op(e4,e4)
| e1 = op(e4,e3)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370 ),
inference(duplicate_literal_removal,[],[f12790]) ).
fof(f12790,plain,
( e1 = e3
| e1 = e3
| e1 = e4
| e1 = op(e4,e4)
| e1 = op(e4,e3)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370 ),
inference(forward_demodulation,[],[f11683,f3190]) ).
fof(f11683,plain,
( e1 = e3
| e1 = e4
| e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369 ),
inference(forward_demodulation,[],[f11682,f3185]) ).
fof(f11682,plain,
( e1 = e4
| e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334 ),
inference(forward_demodulation,[],[f11681,f1921]) ).
fof(f11681,plain,
( e1 = op(e4,unit)
| e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_334 ),
inference(forward_demodulation,[],[f937,f2881]) ).
fof(f937,plain,
( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f13307,plain,
( spl154_197
| spl154_130
| spl154_131
| spl154_125
| ~ spl154_138
| ~ spl154_196
| ~ spl154_334
| ~ spl154_370
| ~ spl154_375 ),
inference(avatar_split_clause,[],[f12498,f3214,f3189,f2880,f2150,f1874,f1809,f1839,f1834,f2155]) ).
fof(f12498,plain,
( e0 = e1
| e1 = e4
| e1 = e3
| e1 = op(e1,e0)
| ~ spl154_138
| ~ spl154_196
| ~ spl154_334
| ~ spl154_370
| ~ spl154_375 ),
inference(duplicate_literal_removal,[],[f12497]) ).
fof(f12497,plain,
( e0 = e1
| e0 = e1
| e1 = e4
| e1 = e3
| e1 = op(e1,e0)
| ~ spl154_138
| ~ spl154_196
| ~ spl154_334
| ~ spl154_370
| ~ spl154_375 ),
inference(forward_demodulation,[],[f12496,f2152]) ).
fof(f12496,plain,
( e0 = e1
| e1 = e4
| e1 = e3
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl154_138
| ~ spl154_334
| ~ spl154_370
| ~ spl154_375 ),
inference(forward_demodulation,[],[f12495,f1876]) ).
fof(f12495,plain,
( e1 = op(unit,e0)
| e1 = e4
| e1 = e3
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl154_334
| ~ spl154_370
| ~ spl154_375 ),
inference(forward_demodulation,[],[f12494,f2881]) ).
fof(f12494,plain,
( e1 = e4
| e1 = e3
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl154_370
| ~ spl154_375 ),
inference(forward_demodulation,[],[f12298,f3216]) ).
fof(f12298,plain,
( e1 = e3
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| ~ spl154_370 ),
inference(forward_demodulation,[],[f898,f3190]) ).
fof(f898,plain,
( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f13222,plain,
( spl154_156
| spl154_131
| spl154_125
| spl154_130
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370
| ~ spl154_373 ),
inference(avatar_split_clause,[],[f12487,f3204,f3189,f3183,f2880,f1919,f1834,f1809,f1839,f1961]) ).
fof(f12487,plain,
( e1 = e3
| e0 = e1
| e1 = e4
| e1 = op(e4,e4)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370
| ~ spl154_373 ),
inference(duplicate_literal_removal,[],[f12486]) ).
fof(f12486,plain,
( e1 = e3
| e0 = e1
| e1 = e3
| e1 = e4
| e1 = op(e4,e4)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_370
| ~ spl154_373 ),
inference(forward_demodulation,[],[f12485,f3190]) ).
fof(f12485,plain,
( e0 = e1
| e1 = e3
| e1 = e4
| e1 = op(e4,e4)
| e1 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_369
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11683,f3205]) ).
fof(f13220,plain,
( ~ spl154_27
| ~ spl154_436
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f9678,f2880,f13210,f1247]) ).
fof(f9678,plain,
( op(e0,e3) != unit
| ~ sP53
| ~ spl154_334 ),
inference(trivial_inequality_removal,[],[f4313]) ).
fof(f4313,plain,
( unit != unit
| op(e0,e3) != unit
| ~ sP53
| ~ spl154_334 ),
inference(forward_demodulation,[],[f1041,f2881]) ).
fof(f1041,plain,
( e2 != unit
| op(e0,e3) != unit
| ~ sP53 ),
inference(inner_rewriting,[],[f659]) ).
fof(f659,plain,
( e2 != unit
| e2 != op(e0,e3)
| ~ sP53 ),
inference(cnf_transformation,[],[f265]) ).
fof(f13216,plain,
( spl154_377
| ~ spl154_343
| ~ spl154_374 ),
inference(avatar_split_clause,[],[f13177,f3210,f3050,f3225]) ).
fof(f13177,plain,
( e0 = op(e0,e4)
| ~ spl154_343
| ~ spl154_374 ),
inference(forward_demodulation,[],[f3211,f11751]) ).
fof(f13213,plain,
( spl154_436
| ~ spl154_248
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f13090,f2880,f2428,f13210]) ).
fof(f13090,plain,
( op(e0,e3) = unit
| ~ spl154_248
| ~ spl154_334 ),
inference(forward_demodulation,[],[f2429,f2881]) ).
fof(f13206,plain,
( spl154_426
| ~ spl154_299
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f12814,f2880,f2696,f10577]) ).
fof(f12814,plain,
( unit = op(unit,e0)
| ~ spl154_299
| ~ spl154_334 ),
inference(forward_demodulation,[],[f2697,f2881]) ).
fof(f13197,plain,
( ~ spl154_139
| ~ spl154_343
| ~ spl154_374
| spl154_429 ),
inference(avatar_split_clause,[],[f12149,f11922,f3210,f3050,f1879]) ).
fof(f12149,plain,
( e0 != op(e0,unit)
| ~ spl154_343
| ~ spl154_374
| spl154_429 ),
inference(forward_demodulation,[],[f11924,f11751]) ).
fof(f11924,plain,
( e0 != op(e3,unit)
| spl154_429 ),
inference(avatar_component_clause,[],[f11922]) ).
fof(f13196,plain,
( spl154_435
| ~ spl154_142
| ~ spl154_385
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f5820,f4383,f3453,f1894,f13193]) ).
fof(f5820,plain,
( unit = op(e1,unit)
| ~ spl154_142
| ~ spl154_385
| ~ spl154_400 ),
inference(forward_demodulation,[],[f3455,f5352]) ).
fof(f13187,plain,
( ~ spl154_334
| spl154_380
| ~ spl154_386 ),
inference(avatar_split_clause,[],[f3638,f3457,f3333,f2880]) ).
fof(f3333,plain,
( spl154_380
<=> op(e4,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_380])]) ).
fof(f3638,plain,
( e2 != unit
| spl154_380
| ~ spl154_386 ),
inference(superposition,[],[f3335,f3459]) ).
fof(f3459,plain,
( e2 = op(e4,e2)
| ~ spl154_386 ),
inference(avatar_component_clause,[],[f3457]) ).
fof(f3335,plain,
( op(e4,e2) != unit
| spl154_380 ),
inference(avatar_component_clause,[],[f3333]) ).
fof(f13083,plain,
( spl154_135
| ~ spl154_248
| ~ spl154_334
| ~ spl154_373
| ~ spl154_375
| ~ spl154_410 ),
inference(avatar_split_clause,[],[f13077,f4871,f3214,f3204,f2880,f2428,f1859]) ).
fof(f13077,plain,
( e0 = unit
| ~ spl154_248
| ~ spl154_334
| ~ spl154_373
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f13076,f2881]) ).
fof(f13076,plain,
( e0 = e2
| ~ spl154_248
| ~ spl154_373
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f2429,f13024]) ).
fof(f13024,plain,
( e0 = op(e0,e3)
| ~ spl154_373
| ~ spl154_375
| ~ spl154_410 ),
inference(forward_demodulation,[],[f3205,f13011]) ).
fof(f13023,plain,
( spl154_434
| ~ spl154_370
| ~ spl154_393
| ~ spl154_411 ),
inference(avatar_split_clause,[],[f11732,f4875,f3684,f3189,f13020]) ).
fof(f11732,plain,
( op(e0,e1) = unit
| ~ spl154_370
| ~ spl154_393
| ~ spl154_411 ),
inference(forward_demodulation,[],[f3685,f11686]) ).
fof(f12891,plain,
( spl154_135
| ~ spl154_248
| ~ spl154_334
| ~ spl154_378 ),
inference(avatar_split_clause,[],[f12890,f3230,f2880,f2428,f1859]) ).
fof(f12890,plain,
( e0 = unit
| ~ spl154_248
| ~ spl154_334
| ~ spl154_378 ),
inference(forward_demodulation,[],[f12889,f2881]) ).
fof(f12882,plain,
( spl154_333
| ~ spl154_334
| ~ spl154_355
| ~ spl154_367 ),
inference(avatar_split_clause,[],[f12881,f3174,f3108,f2880,f2876]) ).
fof(f12881,plain,
( e4 = unit
| ~ spl154_334
| ~ spl154_355
| ~ spl154_367 ),
inference(forward_demodulation,[],[f12880,f2881]) ).
fof(f12880,plain,
( e2 = e4
| ~ spl154_355
| ~ spl154_367 ),
inference(forward_demodulation,[],[f3175,f3109]) ).
fof(f12775,plain,
( spl154_135
| ~ spl154_139
| ~ spl154_427 ),
inference(avatar_split_clause,[],[f12745,f11875,f1879,f1859]) ).
fof(f12745,plain,
( e0 = unit
| ~ spl154_139
| ~ spl154_427 ),
inference(superposition,[],[f11877,f1881]) ).
fof(f11877,plain,
( unit = op(e0,unit)
| ~ spl154_427 ),
inference(avatar_component_clause,[],[f11875]) ).
fof(f12760,plain,
( spl154_431
| ~ spl154_334
| ~ spl154_366 ),
inference(avatar_split_clause,[],[f12738,f3168,f2880,f11937]) ).
fof(f12738,plain,
( op(e1,e0) = unit
| ~ spl154_334
| ~ spl154_366 ),
inference(forward_demodulation,[],[f3169,f2881]) ).
fof(f12758,plain,
( spl154_433
| ~ spl154_334
| ~ spl154_348 ),
inference(avatar_split_clause,[],[f12452,f3074,f2880,f12755]) ).
fof(f12452,plain,
( e0 = op(unit,e4)
| ~ spl154_334
| ~ spl154_348 ),
inference(forward_demodulation,[],[f3076,f2881]) ).
fof(f12752,plain,
( ~ spl154_360
| spl154_211
| ~ spl154_370 ),
inference(avatar_split_clause,[],[f12295,f3189,f2230,f3139]) ).
fof(f2230,plain,
( spl154_211
<=> op(e1,e0) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_211])]) ).
fof(f12295,plain,
( e3 != op(e1,e0)
| spl154_211
| ~ spl154_370 ),
inference(forward_demodulation,[],[f2232,f3190]) ).
fof(f2232,plain,
( op(e1,e0) != op(e4,e0)
| spl154_211 ),
inference(avatar_component_clause,[],[f2230]) ).
fof(f12749,plain,
( spl154_429
| ~ spl154_334
| ~ spl154_424 ),
inference(avatar_split_clause,[],[f12235,f8956,f2880,f11922]) ).
fof(f12235,plain,
( e0 = op(e3,unit)
| ~ spl154_334
| ~ spl154_424 ),
inference(forward_demodulation,[],[f8958,f2881]) ).
fof(f12744,plain,
( ~ spl154_432
| spl154_257
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f11570,f2880,f2476,f12741]) ).
fof(f11570,plain,
( op(e4,e3) != unit
| spl154_257
| ~ spl154_334 ),
inference(forward_demodulation,[],[f2478,f2881]) ).
fof(f2478,plain,
( e2 != op(e4,e3)
| spl154_257 ),
inference(avatar_component_clause,[],[f2476]) ).
fof(f12737,plain,
( spl154_333
| ~ spl154_334
| ~ spl154_338
| ~ spl154_375 ),
inference(avatar_split_clause,[],[f12736,f3214,f3025,f2880,f2876]) ).
fof(f12736,plain,
( e4 = unit
| ~ spl154_334
| ~ spl154_338
| ~ spl154_375 ),
inference(forward_demodulation,[],[f12735,f2881]) ).
fof(f12735,plain,
( e2 = e4
| ~ spl154_338
| ~ spl154_375 ),
inference(forward_demodulation,[],[f3026,f3216]) ).
fof(f12733,plain,
( spl154_136
| ~ spl154_334
| ~ spl154_364
| ~ spl154_370 ),
inference(avatar_split_clause,[],[f12731,f3189,f3159,f2880,f1864]) ).
fof(f12731,plain,
( e3 = unit
| ~ spl154_334
| ~ spl154_364
| ~ spl154_370 ),
inference(forward_demodulation,[],[f12730,f2881]) ).
fof(f12730,plain,
( e2 = e3
| ~ spl154_364
| ~ spl154_370 ),
inference(forward_demodulation,[],[f3160,f3190]) ).
fof(f12729,plain,
( spl154_426
| ~ spl154_299
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f11211,f2880,f2696,f10577]) ).
fof(f11211,plain,
( unit = op(unit,e0)
| ~ spl154_299
| ~ spl154_334 ),
inference(forward_demodulation,[],[f2697,f2881]) ).
fof(f12698,plain,
( spl154_125
| ~ spl154_362
| ~ spl154_378 ),
inference(avatar_split_clause,[],[f11762,f3230,f3149,f1809]) ).
fof(f11762,plain,
( e0 = e1
| ~ spl154_362
| ~ spl154_378 ),
inference(superposition,[],[f3231,f3151]) ).
fof(f12697,plain,
( ~ spl154_23
| spl154_128
| ~ spl154_336
| ~ spl154_362
| ~ spl154_378 ),
inference(avatar_split_clause,[],[f12686,f3230,f3149,f3014,f1824,f1225]) ).
fof(f1225,plain,
( spl154_23
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_23])]) ).
fof(f12686,plain,
( e0 = e4
| ~ sP79
| ~ spl154_336
| ~ spl154_362
| ~ spl154_378 ),
inference(trivial_inequality_removal,[],[f12685]) ).
fof(f12685,plain,
( e3 != e3
| e0 = e4
| ~ sP79
| ~ spl154_336
| ~ spl154_362
| ~ spl154_378 ),
inference(forward_demodulation,[],[f12684,f3015]) ).
fof(f12684,plain,
( e0 = e4
| e3 != op(e0,e4)
| ~ sP79
| ~ spl154_362
| ~ spl154_378 ),
inference(forward_demodulation,[],[f11948,f11762]) ).
fof(f11948,plain,
( e1 = e4
| e3 != op(e0,e4)
| ~ sP79
| ~ spl154_362 ),
inference(forward_demodulation,[],[f606,f3151]) ).
fof(f606,plain,
( e4 = op(e0,e3)
| e3 != op(e0,e4)
| ~ sP79 ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4)
| ~ sP79 ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4)
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f12670,plain,
( ~ spl154_16
| spl154_333
| ~ spl154_334
| ~ spl154_336
| ~ spl154_354
| ~ spl154_355
| ~ spl154_362 ),
inference(avatar_split_clause,[],[f11981,f3149,f3108,f3103,f3014,f2880,f2876,f1189]) ).
fof(f1189,plain,
( spl154_16
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_16])]) ).
fof(f11981,plain,
( e4 = unit
| ~ sP28
| ~ spl154_334
| ~ spl154_336
| ~ spl154_354
| ~ spl154_355
| ~ spl154_362 ),
inference(trivial_inequality_removal,[],[f11980]) ).
fof(f11980,plain,
( e1 != e1
| e4 = unit
| ~ sP28
| ~ spl154_334
| ~ spl154_336
| ~ spl154_354
| ~ spl154_355
| ~ spl154_362 ),
inference(forward_demodulation,[],[f11979,f3151]) ).
fof(f11979,plain,
( e4 = unit
| e1 != op(e0,e3)
| ~ sP28
| ~ spl154_334
| ~ spl154_336
| ~ spl154_354
| ~ spl154_355 ),
inference(forward_demodulation,[],[f11969,f11977]) ).
fof(f11977,plain,
( e3 = unit
| ~ spl154_334
| ~ spl154_336
| ~ spl154_354 ),
inference(forward_demodulation,[],[f3015,f11893]) ).
fof(f11893,plain,
( op(e0,e4) = unit
| ~ spl154_334
| ~ spl154_354 ),
inference(forward_demodulation,[],[f3105,f2881]) ).
fof(f11969,plain,
( e3 = e4
| e1 != op(e0,e3)
| ~ sP28
| ~ spl154_355 ),
inference(forward_demodulation,[],[f708,f3109]) ).
fof(f708,plain,
( e3 = op(e0,e1)
| e1 != op(e0,e3)
| ~ sP28 ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3)
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3)
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f12669,plain,
( ~ spl154_84
| spl154_127
| ~ spl154_343
| ~ spl154_375 ),
inference(avatar_split_clause,[],[f11616,f3214,f3050,f1819,f1577]) ).
fof(f1577,plain,
( spl154_84
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_84])]) ).
fof(f11616,plain,
( e0 = e3
| ~ sP115
| ~ spl154_343
| ~ spl154_375 ),
inference(trivial_inequality_removal,[],[f11615]) ).
fof(f11615,plain,
( e4 != e4
| e0 = e3
| ~ sP115
| ~ spl154_343
| ~ spl154_375 ),
inference(forward_demodulation,[],[f11162,f3216]) ).
fof(f11162,plain,
( e0 = e3
| e4 != op(e3,e0)
| ~ sP115
| ~ spl154_343 ),
inference(forward_demodulation,[],[f534,f3052]) ).
fof(f534,plain,
( e0 = op(e3,e4)
| e4 != op(e3,e0)
| ~ sP115 ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0)
| ~ sP115 ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0)
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f12630,plain,
( spl154_135
| ~ spl154_334
| ~ spl154_336
| ~ spl154_354
| ~ spl154_373
| ~ spl154_386 ),
inference(avatar_split_clause,[],[f12073,f3457,f3204,f3103,f3014,f2880,f1859]) ).
fof(f12073,plain,
( e0 = unit
| ~ spl154_334
| ~ spl154_336
| ~ spl154_354
| ~ spl154_373
| ~ spl154_386 ),
inference(forward_demodulation,[],[f12072,f4230]) ).
fof(f4230,plain,
( unit = op(e4,unit)
| ~ spl154_334
| ~ spl154_386 ),
inference(superposition,[],[f3459,f2881]) ).
fof(f12072,plain,
( e0 = op(e4,unit)
| ~ spl154_334
| ~ spl154_336
| ~ spl154_354
| ~ spl154_373 ),
inference(forward_demodulation,[],[f3205,f11977]) ).
fof(f12454,plain,
( spl154_137
| ~ spl154_334
| ~ spl154_354
| ~ spl154_356 ),
inference(avatar_split_clause,[],[f12344,f3112,f3103,f2880,f1869]) ).
fof(f12344,plain,
( e1 = unit
| ~ spl154_334
| ~ spl154_354
| ~ spl154_356 ),
inference(forward_demodulation,[],[f3114,f11893]) ).
fof(f12345,plain,
( spl154_135
| ~ spl154_334
| ~ spl154_354
| ~ spl154_377 ),
inference(avatar_split_clause,[],[f12237,f3225,f3103,f2880,f1859]) ).
fof(f12237,plain,
( e0 = unit
| ~ spl154_334
| ~ spl154_354
| ~ spl154_377 ),
inference(forward_demodulation,[],[f3226,f11893]) ).
fof(f12240,plain,
( spl154_127
| ~ spl154_196
| ~ spl154_361
| ~ spl154_362
| ~ spl154_378 ),
inference(avatar_split_clause,[],[f12179,f3230,f3149,f3145,f2150,f1819]) ).
fof(f12179,plain,
( e0 = e3
| ~ spl154_196
| ~ spl154_361
| ~ spl154_362
| ~ spl154_378 ),
inference(forward_demodulation,[],[f12175,f2152]) ).
fof(f12175,plain,
( op(e0,e0) = e3
| ~ spl154_361
| ~ spl154_362
| ~ spl154_378 ),
inference(forward_demodulation,[],[f3146,f11762]) ).
fof(f12178,plain,
( ~ spl154_16
| spl154_128
| ~ spl154_343
| ~ spl154_355
| ~ spl154_362
| ~ spl154_374 ),
inference(avatar_split_clause,[],[f12174,f3210,f3149,f3108,f3050,f1824,f1189]) ).
fof(f12174,plain,
( e0 = e4
| ~ sP28
| ~ spl154_343
| ~ spl154_355
| ~ spl154_362
| ~ spl154_374 ),
inference(trivial_inequality_removal,[],[f12173]) ).
fof(f12173,plain,
( e1 != e1
| e0 = e4
| ~ sP28
| ~ spl154_343
| ~ spl154_355
| ~ spl154_362
| ~ spl154_374 ),
inference(forward_demodulation,[],[f12172,f3151]) ).
fof(f12172,plain,
( e0 = e4
| e1 != op(e0,e3)
| ~ sP28
| ~ spl154_343
| ~ spl154_355
| ~ spl154_374 ),
inference(forward_demodulation,[],[f11969,f11751]) ).
fof(f12074,plain,
( spl154_333
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(avatar_split_clause,[],[f12066,f3959,f3230,f3210,f3149,f3103,f3088,f3050,f3014,f2880,f1889,f2876]) ).
fof(f3088,plain,
( spl154_351
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_351])]) ).
fof(f12066,plain,
( e4 = unit
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(duplicate_literal_removal,[],[f12065]) ).
fof(f12065,plain,
( e4 = unit
| e4 = unit
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(forward_demodulation,[],[f12064,f12041]) ).
fof(f12041,plain,
( e0 = unit
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_354
| ~ spl154_374 ),
inference(forward_demodulation,[],[f11758,f11977]) ).
fof(f11758,plain,
( e0 = e3
| ~ spl154_343
| ~ spl154_374 ),
inference(superposition,[],[f3052,f3211]) ).
fof(f12064,plain,
( e0 = e4
| e4 = unit
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(forward_demodulation,[],[f12063,f11762]) ).
fof(f12063,plain,
( e1 = e4
| e4 = unit
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(forward_demodulation,[],[f12062,f1891]) ).
fof(f12062,plain,
( e4 = op(e1,unit)
| e4 = unit
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(forward_demodulation,[],[f12061,f12041]) ).
fof(f12061,plain,
( e4 = unit
| e4 = op(e1,e0)
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(duplicate_literal_removal,[],[f12060]) ).
fof(f12060,plain,
( e4 = unit
| e4 = unit
| e4 = op(e1,e0)
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(forward_demodulation,[],[f12059,f11977]) ).
fof(f12059,plain,
( e4 = unit
| e3 = e4
| e4 = op(e1,e0)
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(duplicate_literal_removal,[],[f12058]) ).
fof(f12058,plain,
( e4 = unit
| e3 = e4
| e4 = unit
| e4 = op(e1,e0)
| ~ spl154_141
| ~ spl154_334
| ~ spl154_336
| ~ spl154_343
| ~ spl154_351
| ~ spl154_354
| ~ spl154_362
| ~ spl154_374
| ~ spl154_378
| ~ spl154_399 ),
inference(forward_demodulation,[],[f12057,f12041]) ).
fof(f12057,plain,
( e0 = e4
| e3 = e4
| e4 = unit
| e4 = op(e1,e0)
| ~ spl154_141
| ~ spl154_334
| ~ spl154_351
| ~ spl154_362
| ~ spl154_378
| ~ spl154_399 ),
inference(duplicate_literal_removal,[],[f12056]) ).
fof(f12056,plain,
( e0 = e4
| e3 = e4
| e4 = unit
| e0 = e4
| e4 = op(e1,e0)
| ~ spl154_141
| ~ spl154_334
| ~ spl154_351
| ~ spl154_362
| ~ spl154_378
| ~ spl154_399 ),
inference(forward_demodulation,[],[f11575,f11762]) ).
fof(f11575,plain,
( e1 = e4
| e3 = e4
| e4 = unit
| e0 = e4
| e4 = op(e1,e0)
| ~ spl154_141
| ~ spl154_334
| ~ spl154_351
| ~ spl154_399 ),
inference(forward_demodulation,[],[f11574,f1891]) ).
fof(f11574,plain,
( e4 = op(e1,unit)
| e3 = e4
| e4 = unit
| e0 = e4
| e4 = op(e1,e0)
| ~ spl154_334
| ~ spl154_351
| ~ spl154_399 ),
inference(forward_demodulation,[],[f11573,f2881]) ).
fof(f11573,plain,
( e3 = e4
| e4 = unit
| e0 = e4
| e4 = op(e1,e2)
| e4 = op(e1,e0)
| ~ spl154_334
| ~ spl154_351
| ~ spl154_399 ),
inference(forward_demodulation,[],[f11572,f3961]) ).
fof(f11572,plain,
( e4 = unit
| e0 = e4
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e0)
| ~ spl154_334
| ~ spl154_351 ),
inference(forward_demodulation,[],[f1109,f10585]) ).
fof(f10585,plain,
( op(e1,e4) = unit
| ~ spl154_334
| ~ spl154_351 ),
inference(forward_demodulation,[],[f3090,f2881]) ).
fof(f3090,plain,
( e2 = op(e1,e4)
| ~ spl154_351 ),
inference(avatar_component_clause,[],[f3088]) ).
fof(f1109,plain,
( e0 = e4
| e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e0) ),
inference(forward_demodulation,[],[f913,f1097]) ).
fof(f913,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f11978,plain,
( ~ spl154_16
| spl154_128
| ~ spl154_355
| ~ spl154_362
| ~ spl154_370
| ~ spl154_411 ),
inference(avatar_split_clause,[],[f11972,f4875,f3189,f3149,f3108,f1824,f1189]) ).
fof(f11972,plain,
( e0 = e4
| ~ sP28
| ~ spl154_355
| ~ spl154_362
| ~ spl154_370
| ~ spl154_411 ),
inference(trivial_inequality_removal,[],[f11971]) ).
fof(f11971,plain,
( e1 != e1
| e0 = e4
| ~ sP28
| ~ spl154_355
| ~ spl154_362
| ~ spl154_370
| ~ spl154_411 ),
inference(forward_demodulation,[],[f11970,f3151]) ).
fof(f11970,plain,
( e0 = e4
| e1 != op(e0,e3)
| ~ sP28
| ~ spl154_355
| ~ spl154_370
| ~ spl154_411 ),
inference(forward_demodulation,[],[f11969,f11686]) ).
fof(f11945,plain,
( ~ spl154_421
| ~ spl154_144
| spl154_247
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f10887,f2880,f2422,f1904,f8844]) ).
fof(f10887,plain,
( e3 != op(e0,e3)
| ~ spl154_144
| spl154_247
| ~ spl154_334 ),
inference(forward_demodulation,[],[f10886,f1906]) ).
fof(f10886,plain,
( op(e0,e3) != op(unit,e3)
| spl154_247
| ~ spl154_334 ),
inference(forward_demodulation,[],[f2424,f2881]) ).
fof(f11942,plain,
( ~ spl154_360
| spl154_282
| ~ spl154_399 ),
inference(avatar_split_clause,[],[f10810,f3959,f2604,f3139]) ).
fof(f2604,plain,
( spl154_282
<=> op(e1,e0) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_282])]) ).
fof(f10810,plain,
( e3 != op(e1,e0)
| spl154_282
| ~ spl154_399 ),
inference(forward_demodulation,[],[f2606,f3961]) ).
fof(f2606,plain,
( op(e1,e0) != op(e1,e3)
| spl154_282 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f11940,plain,
( ~ spl154_431
| spl154_284
| ~ spl154_334
| ~ spl154_351 ),
inference(avatar_split_clause,[],[f10642,f3088,f2880,f2615,f11937]) ).
fof(f2615,plain,
( spl154_284
<=> op(e1,e0) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_284])]) ).
fof(f10642,plain,
( op(e1,e0) != unit
| spl154_284
| ~ spl154_334
| ~ spl154_351 ),
inference(forward_demodulation,[],[f2617,f10585]) ).
fof(f2617,plain,
( op(e1,e0) != op(e1,e4)
| spl154_284 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f11934,plain,
( spl154_390
| ~ spl154_334
| ~ spl154_351 ),
inference(avatar_split_clause,[],[f10585,f3088,f2880,f3668]) ).
fof(f11931,plain,
( ~ spl154_430
| spl154_175
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f10570,f2880,f2049,f11928]) ).
fof(f11928,plain,
( spl154_430
<=> e1 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_430])]) ).
fof(f2049,plain,
( spl154_175
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_175])]) ).
fof(f10570,plain,
( e1 != op(unit,unit)
| spl154_175
| ~ spl154_334 ),
inference(forward_demodulation,[],[f2050,f2881]) ).
fof(f2050,plain,
( e1 != op(e2,e2)
| spl154_175 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f11925,plain,
( ~ spl154_429
| ~ spl154_334
| spl154_424 ),
inference(avatar_split_clause,[],[f10522,f8956,f2880,f11922]) ).
fof(f10522,plain,
( e0 != op(e3,unit)
| ~ spl154_334
| spl154_424 ),
inference(forward_demodulation,[],[f8957,f2881]) ).
fof(f8957,plain,
( e0 != op(e3,e2)
| spl154_424 ),
inference(avatar_component_clause,[],[f8956]) ).
fof(f11904,plain,
( ~ spl154_197
| ~ spl154_141
| spl154_281
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f10500,f2880,f2598,f1889,f2155]) ).
fof(f10500,plain,
( e1 != op(e1,e0)
| ~ spl154_141
| spl154_281
| ~ spl154_334 ),
inference(forward_demodulation,[],[f10499,f1891]) ).
fof(f10499,plain,
( op(e1,e0) != op(e1,unit)
| spl154_281
| ~ spl154_334 ),
inference(forward_demodulation,[],[f2600,f2881]) ).
fof(f11903,plain,
( ~ spl154_428
| spl154_193
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f10496,f2880,f2136,f11900]) ).
fof(f10496,plain,
( op(e0,e0) != unit
| spl154_193
| ~ spl154_334 ),
inference(forward_demodulation,[],[f2137,f2881]) ).
fof(f2137,plain,
( op(e0,e0) != e2
| spl154_193 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f11897,plain,
( ~ spl154_334
| ~ spl154_143
| spl154_413 ),
inference(avatar_split_clause,[],[f8377,f5378,f1899,f2880]) ).
fof(f8377,plain,
( e2 != unit
| ~ spl154_143
| spl154_413 ),
inference(superposition,[],[f5380,f1901]) ).
fof(f5380,plain,
( unit != op(e2,unit)
| spl154_413 ),
inference(avatar_component_clause,[],[f5378]) ).
fof(f11888,plain,
( spl154_333
| ~ spl154_334
| ~ spl154_354
| ~ spl154_423 ),
inference(avatar_split_clause,[],[f11887,f8873,f3103,f2880,f2876]) ).
fof(f11887,plain,
( e4 = unit
| ~ spl154_334
| ~ spl154_354
| ~ spl154_423 ),
inference(forward_demodulation,[],[f11886,f2881]) ).
fof(f11886,plain,
( e2 = e4
| ~ spl154_354
| ~ spl154_423 ),
inference(forward_demodulation,[],[f3105,f8875]) ).
fof(f11878,plain,
( spl154_427
| ~ spl154_334
| ~ spl154_384 ),
inference(avatar_split_clause,[],[f10493,f3449,f2880,f11875]) ).
fof(f10493,plain,
( unit = op(e0,unit)
| ~ spl154_334
| ~ spl154_384 ),
inference(forward_demodulation,[],[f3451,f2881]) ).
fof(f11850,plain,
( ~ spl154_92
| ~ spl154_199
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f11781,f2880,f2165,f1626]) ).
fof(f1626,plain,
( spl154_92
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_92])]) ).
fof(f11781,plain,
( ~ sP66
| ~ spl154_199
| ~ spl154_334 ),
inference(trivial_inequality_removal,[],[f11780]) ).
fof(f11780,plain,
( unit != unit
| ~ sP66
| ~ spl154_199
| ~ spl154_334 ),
inference(forward_demodulation,[],[f11779,f2881]) ).
fof(f11779,plain,
( e2 != unit
| ~ sP66
| ~ spl154_199
| ~ spl154_334 ),
inference(forward_demodulation,[],[f11778,f2167]) ).
fof(f11778,plain,
( op(e3,e1) != unit
| ~ sP66
| ~ spl154_334 ),
inference(trivial_inequality_removal,[],[f11777]) ).
fof(f11777,plain,
( unit != unit
| op(e3,e1) != unit
| ~ sP66
| ~ spl154_334 ),
inference(forward_demodulation,[],[f1028,f2881]) ).
fof(f1028,plain,
( e2 != unit
| op(e3,e1) != unit
| ~ sP66 ),
inference(inner_rewriting,[],[f633]) ).
fof(f633,plain,
( e2 != unit
| e2 != op(e3,e1)
| ~ sP66 ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1)
| ~ sP66 ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1)
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f11775,plain,
( ~ spl154_334
| ~ spl154_142
| spl154_400 ),
inference(avatar_split_clause,[],[f8381,f4383,f1894,f2880]) ).
fof(f8381,plain,
( e2 != unit
| ~ spl154_142
| spl154_400 ),
inference(superposition,[],[f4384,f1896]) ).
fof(f4384,plain,
( unit != op(unit,e2)
| spl154_400 ),
inference(avatar_component_clause,[],[f4383]) ).
fof(f11750,plain,
( ~ spl154_333
| spl154_133
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f4171,f2880,f1849,f2876]) ).
fof(f1849,plain,
( spl154_133
<=> e2 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_133])]) ).
fof(f4171,plain,
( e4 != unit
| spl154_133
| ~ spl154_334 ),
inference(superposition,[],[f1851,f2881]) ).
fof(f1851,plain,
( e2 != e4
| spl154_133 ),
inference(avatar_component_clause,[],[f1849]) ).
fof(f11733,plain,
( ~ spl154_57
| ~ spl154_334
| ~ spl154_351 ),
inference(avatar_split_clause,[],[f11731,f3088,f2880,f1421]) ).
fof(f1421,plain,
( spl154_57
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_57])]) ).
fof(f11731,plain,
( ~ sP59
| ~ spl154_334
| ~ spl154_351 ),
inference(trivial_inequality_removal,[],[f11730]) ).
fof(f11730,plain,
( unit != unit
| ~ sP59
| ~ spl154_334
| ~ spl154_351 ),
inference(forward_demodulation,[],[f11729,f10585]) ).
fof(f11729,plain,
( op(e1,e4) != unit
| ~ sP59
| ~ spl154_334 ),
inference(trivial_inequality_removal,[],[f11728]) ).
fof(f11728,plain,
( unit != unit
| op(e1,e4) != unit
| ~ sP59
| ~ spl154_334 ),
inference(forward_demodulation,[],[f1035,f2881]) ).
fof(f1035,plain,
( e2 != unit
| op(e1,e4) != unit
| ~ sP59 ),
inference(inner_rewriting,[],[f647]) ).
fof(f647,plain,
( e2 != unit
| e2 != op(e1,e4)
| ~ sP59 ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4)
| ~ sP59 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4)
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f11727,plain,
( ~ spl154_334
| ~ spl154_199
| spl154_393 ),
inference(avatar_split_clause,[],[f3716,f3684,f2165,f2880]) ).
fof(f3716,plain,
( e2 != unit
| ~ spl154_199
| spl154_393 ),
inference(superposition,[],[f3686,f2167]) ).
fof(f3686,plain,
( op(e3,e1) != unit
| spl154_393 ),
inference(avatar_component_clause,[],[f3684]) ).
fof(f11688,plain,
( ~ spl154_70
| spl154_131
| ~ spl154_140
| ~ spl154_334
| ~ spl154_346 ),
inference(avatar_split_clause,[],[f11530,f3065,f2880,f1884,f1839,f1496]) ).
fof(f1496,plain,
( spl154_70
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_70])]) ).
fof(f11530,plain,
( e1 = e4
| ~ sP39
| ~ spl154_140
| ~ spl154_334
| ~ spl154_346 ),
inference(trivial_inequality_removal,[],[f11529]) ).
fof(f11529,plain,
( e1 != e1
| e1 = e4
| ~ sP39
| ~ spl154_140
| ~ spl154_334
| ~ spl154_346 ),
inference(forward_demodulation,[],[f11325,f3067]) ).
fof(f11325,plain,
( e1 = e4
| e1 != op(e2,e4)
| ~ sP39
| ~ spl154_140
| ~ spl154_334 ),
inference(forward_demodulation,[],[f11324,f1886]) ).
fof(f11324,plain,
( e4 = op(unit,e1)
| e1 != op(e2,e4)
| ~ sP39
| ~ spl154_334 ),
inference(forward_demodulation,[],[f686,f2881]) ).
fof(f686,plain,
( e4 = op(e2,e1)
| e1 != op(e2,e4)
| ~ sP39 ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4)
| ~ sP39 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4)
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f11672,plain,
( spl154_128
| ~ spl154_189
| ~ spl154_196 ),
inference(avatar_split_clause,[],[f11671,f2150,f2118,f1824]) ).
fof(f11671,plain,
( e0 = e4
| ~ spl154_189
| ~ spl154_196 ),
inference(forward_demodulation,[],[f2120,f2152]) ).
fof(f11669,plain,
( spl154_127
| ~ spl154_191
| ~ spl154_196 ),
inference(avatar_split_clause,[],[f11668,f2150,f2127,f1819]) ).
fof(f11668,plain,
( e0 = e3
| ~ spl154_191
| ~ spl154_196 ),
inference(forward_demodulation,[],[f2129,f2152]) ).
fof(f11667,plain,
( spl154_130
| ~ spl154_197
| ~ spl154_360 ),
inference(avatar_split_clause,[],[f11665,f3139,f2155,f1834]) ).
fof(f11665,plain,
( e1 = e3
| ~ spl154_197
| ~ spl154_360 ),
inference(forward_demodulation,[],[f3140,f2157]) ).
fof(f2157,plain,
( e1 = op(e1,e0)
| ~ spl154_197 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f11660,plain,
( spl154_131
| ~ spl154_197
| ~ spl154_352 ),
inference(avatar_split_clause,[],[f11659,f3093,f2155,f1839]) ).
fof(f11659,plain,
( e1 = e4
| ~ spl154_197
| ~ spl154_352 ),
inference(forward_demodulation,[],[f3094,f2157]) ).
fof(f11657,plain,
( spl154_368
| spl154_130
| spl154_131
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_342
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f11656,f3183,f3045,f2885,f2880,f1919,f1839,f1834,f3179]) ).
fof(f11656,plain,
( e1 = e4
| e1 = e3
| e1 = op(e4,e3)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_342
| ~ spl154_369 ),
inference(duplicate_literal_removal,[],[f11655]) ).
fof(f11655,plain,
( e1 = e4
| e1 = e3
| e1 = e4
| e1 = op(e4,e3)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_342
| ~ spl154_369 ),
inference(forward_demodulation,[],[f11634,f3046]) ).
fof(f11634,plain,
( e1 = e3
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_369 ),
inference(forward_demodulation,[],[f11633,f3185]) ).
fof(f11633,plain,
( e1 = e4
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335 ),
inference(duplicate_literal_removal,[],[f11632]) ).
fof(f11632,plain,
( e1 = e4
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335 ),
inference(forward_demodulation,[],[f11631,f1921]) ).
fof(f11631,plain,
( e1 = op(e4,unit)
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_334
| ~ spl154_335 ),
inference(forward_demodulation,[],[f11581,f2881]) ).
fof(f11581,plain,
( e1 = e4
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_335 ),
inference(forward_demodulation,[],[f937,f2887]) ).
fof(f2887,plain,
( e4 = op(e4,e4)
| ~ spl154_335 ),
inference(avatar_component_clause,[],[f2885]) ).
fof(f11651,plain,
( spl154_135
| ~ spl154_381
| ~ spl154_411 ),
inference(avatar_split_clause,[],[f11638,f4875,f3338,f1859]) ).
fof(f3338,plain,
( spl154_381
<=> op(e4,e0) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_381])]) ).
fof(f11638,plain,
( e0 = unit
| ~ spl154_381
| ~ spl154_411 ),
inference(forward_demodulation,[],[f4877,f3339]) ).
fof(f3339,plain,
( op(e4,e0) = unit
| ~ spl154_381 ),
inference(avatar_component_clause,[],[f3338]) ).
fof(f11641,plain,
( spl154_368
| spl154_131
| spl154_130
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_369
| ~ spl154_370 ),
inference(avatar_split_clause,[],[f11636,f3189,f3183,f2885,f2880,f1919,f1834,f1839,f3179]) ).
fof(f11636,plain,
( e1 = e3
| e1 = e4
| e1 = op(e4,e3)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_369
| ~ spl154_370 ),
inference(duplicate_literal_removal,[],[f11635]) ).
fof(f11635,plain,
( e1 = e3
| e1 = e3
| e1 = e4
| e1 = op(e4,e3)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_369
| ~ spl154_370 ),
inference(forward_demodulation,[],[f11634,f3190]) ).
fof(f11624,plain,
( spl154_212
| spl154_408
| spl154_125
| spl154_131
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(avatar_split_clause,[],[f11585,f3204,f2885,f2880,f1919,f1839,f1809,f4851,f2236]) ).
fof(f11585,plain,
( e1 = e4
| e0 = e1
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(duplicate_literal_removal,[],[f11584]) ).
fof(f11584,plain,
( e1 = e4
| e0 = e1
| e1 = e4
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11583,f1921]) ).
fof(f11583,plain,
( e1 = op(e4,unit)
| e0 = e1
| e1 = e4
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11582,f2881]) ).
fof(f11582,plain,
( e0 = e1
| e1 = e4
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_335
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11581,f3205]) ).
fof(f11621,plain,
( ~ spl154_334
| ~ spl154_351
| spl154_390 ),
inference(avatar_split_clause,[],[f3672,f3668,f3088,f2880]) ).
fof(f3672,plain,
( e2 != unit
| ~ spl154_351
| spl154_390 ),
inference(superposition,[],[f3670,f3090]) ).
fof(f3670,plain,
( op(e1,e4) != unit
| spl154_390 ),
inference(avatar_component_clause,[],[f3668]) ).
fof(f11620,plain,
( spl154_135
| spl154_333
| spl154_136
| spl154_381
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_369
| ~ spl154_373 ),
inference(avatar_split_clause,[],[f11604,f3204,f3183,f2885,f2880,f1919,f3338,f1864,f2876,f1859]) ).
fof(f11604,plain,
( op(e4,e0) = unit
| e3 = unit
| e4 = unit
| e0 = unit
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_369
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11596,f2881]) ).
fof(f11596,plain,
( e3 = unit
| e4 = unit
| e0 = unit
| e2 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_369
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11595,f2881]) ).
fof(f11595,plain,
( e2 = e3
| e4 = unit
| e0 = unit
| e2 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_369
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11594,f3185]) ).
fof(f11594,plain,
( e4 = unit
| e0 = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(duplicate_literal_removal,[],[f11593]) ).
fof(f11593,plain,
( e4 = unit
| e0 = unit
| e4 = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11592,f1921]) ).
fof(f11592,plain,
( unit = op(e4,unit)
| e0 = unit
| e4 = unit
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11591,f2881]) ).
fof(f11591,plain,
( e0 = unit
| e4 = unit
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11590,f2881]) ).
fof(f11590,plain,
( e0 = e2
| e4 = unit
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_334
| ~ spl154_335
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11589,f3205]) ).
fof(f11589,plain,
( e4 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_334
| ~ spl154_335 ),
inference(forward_demodulation,[],[f11588,f2881]) ).
fof(f11588,plain,
( e2 = e4
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_335 ),
inference(forward_demodulation,[],[f939,f2887]) ).
fof(f11614,plain,
( spl154_134
| ~ spl154_359
| ~ spl154_375 ),
inference(avatar_split_clause,[],[f11609,f3214,f3134,f1854]) ).
fof(f11609,plain,
( e3 = e4
| ~ spl154_359
| ~ spl154_375 ),
inference(forward_demodulation,[],[f3216,f3135]) ).
fof(f11608,plain,
( spl154_128
| ~ spl154_138
| ~ spl154_334
| ~ spl154_347 ),
inference(avatar_split_clause,[],[f11607,f3070,f2880,f1874,f1824]) ).
fof(f11607,plain,
( e0 = e4
| ~ spl154_138
| ~ spl154_334
| ~ spl154_347 ),
inference(forward_demodulation,[],[f11606,f1876]) ).
fof(f11606,plain,
( e4 = op(unit,e0)
| ~ spl154_334
| ~ spl154_347 ),
inference(forward_demodulation,[],[f3071,f2881]) ).
fof(f11603,plain,
( spl154_135
| spl154_136
| spl154_333
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_342
| ~ spl154_369
| ~ spl154_373 ),
inference(avatar_split_clause,[],[f11599,f3204,f3183,f3045,f2885,f2880,f1919,f2876,f1864,f1859]) ).
fof(f11599,plain,
( e4 = unit
| e3 = unit
| e0 = unit
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_342
| ~ spl154_369
| ~ spl154_373 ),
inference(duplicate_literal_removal,[],[f11598]) ).
fof(f11598,plain,
( e4 = unit
| e3 = unit
| e4 = unit
| e0 = unit
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_342
| ~ spl154_369
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11597,f2881]) ).
fof(f11597,plain,
( e2 = e4
| e3 = unit
| e4 = unit
| e0 = unit
| ~ spl154_147
| ~ spl154_334
| ~ spl154_335
| ~ spl154_342
| ~ spl154_369
| ~ spl154_373 ),
inference(forward_demodulation,[],[f11596,f3046]) ).
fof(f11523,plain,
( spl154_333
| ~ spl154_340
| ~ spl154_380 ),
inference(avatar_split_clause,[],[f9228,f3333,f3035,f2876]) ).
fof(f9228,plain,
( e4 = unit
| ~ spl154_340
| ~ spl154_380 ),
inference(forward_demodulation,[],[f3036,f3334]) ).
fof(f3334,plain,
( op(e4,e2) = unit
| ~ spl154_380 ),
inference(avatar_component_clause,[],[f3333]) ).
fof(f11385,plain,
( spl154_211
| ~ spl154_355
| ~ spl154_406 ),
inference(avatar_contradiction_clause,[],[f11384]) ).
fof(f11384,plain,
( $false
| spl154_211
| ~ spl154_355
| ~ spl154_406 ),
inference(trivial_inequality_removal,[],[f11383]) ).
fof(f11383,plain,
( op(e1,e0) != op(e1,e0)
| spl154_211
| ~ spl154_355
| ~ spl154_406 ),
inference(forward_demodulation,[],[f2232,f11317]) ).
fof(f11317,plain,
( e1 = e4
| ~ spl154_355
| ~ spl154_406 ),
inference(forward_demodulation,[],[f3109,f4845]) ).
fof(f11321,plain,
( spl154_128
| ~ spl154_139
| ~ spl154_334
| ~ spl154_353 ),
inference(avatar_split_clause,[],[f11134,f3099,f2880,f1879,f1824]) ).
fof(f11134,plain,
( e0 = e4
| ~ spl154_139
| ~ spl154_334
| ~ spl154_353 ),
inference(forward_demodulation,[],[f11133,f1881]) ).
fof(f11133,plain,
( e4 = op(e0,unit)
| ~ spl154_334
| ~ spl154_353 ),
inference(forward_demodulation,[],[f3100,f2881]) ).
fof(f11190,plain,
( ~ spl154_140
| spl154_211
| ~ spl154_334
| ~ spl154_345 ),
inference(avatar_contradiction_clause,[],[f11189]) ).
fof(f11189,plain,
( $false
| ~ spl154_140
| spl154_211
| ~ spl154_334
| ~ spl154_345 ),
inference(trivial_inequality_removal,[],[f11188]) ).
fof(f11188,plain,
( op(e1,e0) != op(e1,e0)
| ~ spl154_140
| spl154_211
| ~ spl154_334
| ~ spl154_345 ),
inference(forward_demodulation,[],[f2232,f10452]) ).
fof(f10452,plain,
( e1 = e4
| ~ spl154_140
| ~ spl154_334
| ~ spl154_345 ),
inference(forward_demodulation,[],[f10370,f1886]) ).
fof(f10370,plain,
( e4 = op(unit,e1)
| ~ spl154_334
| ~ spl154_345 ),
inference(superposition,[],[f3062,f2881]) ).
fof(f11147,plain,
( spl154_135
| ~ spl154_365
| ~ spl154_380 ),
inference(avatar_split_clause,[],[f9797,f3333,f3163,f1859]) ).
fof(f9797,plain,
( e0 = unit
| ~ spl154_365
| ~ spl154_380 ),
inference(forward_demodulation,[],[f3165,f3334]) ).
fof(f10861,plain,
( ~ spl154_141
| spl154_211
| ~ spl154_334
| ~ spl154_350 ),
inference(avatar_contradiction_clause,[],[f10860]) ).
fof(f10860,plain,
( $false
| ~ spl154_141
| spl154_211
| ~ spl154_334
| ~ spl154_350 ),
inference(trivial_inequality_removal,[],[f10859]) ).
fof(f10859,plain,
( op(e1,e0) != op(e1,e0)
| ~ spl154_141
| spl154_211
| ~ spl154_334
| ~ spl154_350 ),
inference(forward_demodulation,[],[f2232,f10532]) ).
fof(f10532,plain,
( e1 = e4
| ~ spl154_141
| ~ spl154_334
| ~ spl154_350 ),
inference(forward_demodulation,[],[f10531,f1891]) ).
fof(f10531,plain,
( e4 = op(e1,unit)
| ~ spl154_334
| ~ spl154_350 ),
inference(forward_demodulation,[],[f3085,f2881]) ).
fof(f10853,plain,
( spl154_137
| ~ spl154_141
| ~ spl154_150
| ~ spl154_334
| ~ spl154_335
| ~ spl154_350
| ~ spl154_405 ),
inference(avatar_split_clause,[],[f10693,f4836,f3084,f2885,f2880,f1934,f1889,f1869]) ).
fof(f4836,plain,
( spl154_405
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_405])]) ).
fof(f10693,plain,
( e1 = unit
| ~ spl154_141
| ~ spl154_150
| ~ spl154_334
| ~ spl154_335
| ~ spl154_350
| ~ spl154_405 ),
inference(forward_demodulation,[],[f10692,f4840]) ).
fof(f4840,plain,
( e0 = unit
| ~ spl154_150
| ~ spl154_405 ),
inference(superposition,[],[f4838,f1936]) ).
fof(f4838,plain,
( op(e1,e1) = unit
| ~ spl154_405 ),
inference(avatar_component_clause,[],[f4836]) ).
fof(f10692,plain,
( e0 = e1
| ~ spl154_141
| ~ spl154_150
| ~ spl154_334
| ~ spl154_335
| ~ spl154_350 ),
inference(forward_demodulation,[],[f10691,f1936]) ).
fof(f10691,plain,
( e1 = op(e1,e1)
| ~ spl154_141
| ~ spl154_334
| ~ spl154_335
| ~ spl154_350 ),
inference(forward_demodulation,[],[f2887,f10532]) ).
fof(f10582,plain,
( spl154_426
| ~ spl154_148
| ~ spl154_149
| ~ spl154_197
| ~ spl154_334
| ~ spl154_415 ),
inference(avatar_split_clause,[],[f10135,f5422,f2880,f2155,f1929,f1924,f10577]) ).
fof(f5422,plain,
( spl154_415
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_415])]) ).
fof(f10135,plain,
( unit = op(unit,e0)
| ~ spl154_148
| ~ spl154_149
| ~ spl154_197
| ~ spl154_334
| ~ spl154_415 ),
inference(forward_demodulation,[],[f2157,f10048]) ).
fof(f10048,plain,
( e1 = unit
| ~ spl154_148
| ~ spl154_149
| ~ spl154_334
| ~ spl154_415 ),
inference(forward_demodulation,[],[f10047,f5423]) ).
fof(f5423,plain,
( unit = op(unit,unit)
| ~ spl154_415 ),
inference(avatar_component_clause,[],[f5422]) ).
fof(f10047,plain,
( e1 = op(unit,unit)
| ~ spl154_148
| ~ spl154_149
| ~ spl154_334
| ~ spl154_415 ),
inference(forward_demodulation,[],[f4175,f10044]) ).
fof(f10044,plain,
( e3 = unit
| ~ spl154_148
| ~ spl154_334
| ~ spl154_415 ),
inference(forward_demodulation,[],[f4174,f5423]) ).
fof(f4174,plain,
( e3 = op(unit,unit)
| ~ spl154_148
| ~ spl154_334 ),
inference(superposition,[],[f1926,f2881]) ).
fof(f4175,plain,
( e1 = op(e3,unit)
| ~ spl154_149
| ~ spl154_334 ),
inference(superposition,[],[f1931,f2881]) ).
fof(f10580,plain,
( ~ spl154_426
| ~ spl154_141
| ~ spl154_148
| ~ spl154_149
| spl154_282
| ~ spl154_334
| ~ spl154_415 ),
inference(avatar_split_clause,[],[f10089,f5422,f2880,f2604,f1929,f1924,f1889,f10577]) ).
fof(f10089,plain,
( unit != op(unit,e0)
| ~ spl154_141
| ~ spl154_148
| ~ spl154_149
| spl154_282
| ~ spl154_334
| ~ spl154_415 ),
inference(forward_demodulation,[],[f10088,f10048]) ).
fof(f10088,plain,
( e1 != op(e1,e0)
| ~ spl154_141
| ~ spl154_148
| spl154_282
| ~ spl154_334
| ~ spl154_415 ),
inference(forward_demodulation,[],[f10087,f1891]) ).
fof(f10087,plain,
( op(e1,e0) != op(e1,unit)
| ~ spl154_148
| spl154_282
| ~ spl154_334
| ~ spl154_415 ),
inference(forward_demodulation,[],[f2606,f10044]) ).
fof(f10574,plain,
( ~ spl154_139
| ~ spl154_334
| spl154_379 ),
inference(avatar_split_clause,[],[f4390,f3235,f2880,f1879]) ).
fof(f4390,plain,
( e0 != op(e0,unit)
| ~ spl154_334
| spl154_379 ),
inference(forward_demodulation,[],[f3237,f2881]) ).
fof(f3237,plain,
( e0 != op(e0,e2)
| spl154_379 ),
inference(avatar_component_clause,[],[f3235]) ).
fof(f10568,plain,
( ~ spl154_175
| ~ spl154_149
| spl154_241 ),
inference(avatar_split_clause,[],[f2393,f2389,f1929,f2049]) ).
fof(f2389,plain,
( spl154_241
<=> op(e2,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_241])]) ).
fof(f2393,plain,
( e1 != op(e2,e2)
| ~ spl154_149
| spl154_241 ),
inference(forward_demodulation,[],[f2391,f1931]) ).
fof(f2391,plain,
( op(e2,e2) != op(e3,e2)
| spl154_241 ),
inference(avatar_component_clause,[],[f2389]) ).
fof(f10462,plain,
( spl154_132
| ~ spl154_349
| ~ spl154_351 ),
inference(avatar_split_clause,[],[f9621,f3088,f3079,f1844]) ).
fof(f9621,plain,
( e2 = e3
| ~ spl154_349
| ~ spl154_351 ),
inference(forward_demodulation,[],[f3090,f3080]) ).
fof(f10046,plain,
( spl154_125
| ~ spl154_141
| ~ spl154_150
| ~ spl154_335
| ~ spl154_343
| ~ spl154_349
| ~ spl154_350
| ~ spl154_351
| ~ spl154_382 ),
inference(avatar_split_clause,[],[f9720,f3344,f3088,f3084,f3079,f3050,f2885,f1934,f1889,f1809]) ).
fof(f3344,plain,
( spl154_382
<=> op(e3,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_382])]) ).
fof(f9720,plain,
( e0 = e1
| ~ spl154_141
| ~ spl154_150
| ~ spl154_335
| ~ spl154_343
| ~ spl154_349
| ~ spl154_350
| ~ spl154_351
| ~ spl154_382 ),
inference(forward_demodulation,[],[f9719,f1936]) ).
fof(f9719,plain,
( e1 = op(e1,e1)
| ~ spl154_141
| ~ spl154_335
| ~ spl154_343
| ~ spl154_349
| ~ spl154_350
| ~ spl154_351
| ~ spl154_382 ),
inference(forward_demodulation,[],[f2887,f9688]) ).
fof(f9688,plain,
( e1 = e4
| ~ spl154_141
| ~ spl154_343
| ~ spl154_349
| ~ spl154_350
| ~ spl154_351
| ~ spl154_382 ),
inference(forward_demodulation,[],[f9687,f1891]) ).
fof(f9687,plain,
( e4 = op(e1,unit)
| ~ spl154_343
| ~ spl154_349
| ~ spl154_350
| ~ spl154_351
| ~ spl154_382 ),
inference(forward_demodulation,[],[f9667,f9672]) ).
fof(f9672,plain,
( e3 = unit
| ~ spl154_343
| ~ spl154_382 ),
inference(forward_demodulation,[],[f3052,f3345]) ).
fof(f3345,plain,
( op(e3,e4) = unit
| ~ spl154_382 ),
inference(avatar_component_clause,[],[f3344]) ).
fof(f9667,plain,
( e4 = op(e1,e3)
| ~ spl154_349
| ~ spl154_350
| ~ spl154_351 ),
inference(forward_demodulation,[],[f3085,f9621]) ).
fof(f9675,plain,
( spl154_333
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179 ),
inference(avatar_split_clause,[],[f9032,f2069,f1934,f1859,f2876]) ).
fof(f9032,plain,
( e4 = unit
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179 ),
inference(forward_demodulation,[],[f9031,f1860]) ).
fof(f1860,plain,
( e0 = unit
| ~ spl154_135 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f9031,plain,
( e0 = e4
| ~ spl154_150
| ~ spl154_179 ),
inference(forward_demodulation,[],[f2071,f1936]) ).
fof(f9567,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6555,f3642,f1961,f1919,f1879,f1859,f1869]) ).
fof(f6555,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6554,f3350]) ).
fof(f3350,plain,
( unit = op(unit,unit)
| ~ spl154_135
| ~ spl154_139 ),
inference(superposition,[],[f1881,f1860]) ).
fof(f6554,plain,
( e1 = op(unit,unit)
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(forward_demodulation,[],[f1963,f5402]) ).
fof(f9537,plain,
( ~ spl154_74
| ~ spl154_333
| ~ spl154_403 ),
inference(avatar_split_clause,[],[f9311,f4633,f2876,f1522]) ).
fof(f1522,plain,
( spl154_74
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_74])]) ).
fof(f4633,plain,
( spl154_403
<=> op(e2,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_403])]) ).
fof(f9311,plain,
( ~ sP113
| ~ spl154_333
| ~ spl154_403 ),
inference(trivial_inequality_removal,[],[f9310]) ).
fof(f9310,plain,
( unit != unit
| ~ sP113
| ~ spl154_333
| ~ spl154_403 ),
inference(forward_demodulation,[],[f6175,f4634]) ).
fof(f4634,plain,
( op(e2,e3) = unit
| ~ spl154_403 ),
inference(avatar_component_clause,[],[f4633]) ).
fof(f6175,plain,
( op(e2,e3) != unit
| ~ sP113
| ~ spl154_333 ),
inference(trivial_inequality_removal,[],[f4673]) ).
fof(f4673,plain,
( unit != unit
| op(e2,e3) != unit
| ~ sP113
| ~ spl154_333 ),
inference(forward_demodulation,[],[f981,f2877]) ).
fof(f981,plain,
( e4 != unit
| op(e2,e3) != unit
| ~ sP113 ),
inference(inner_rewriting,[],[f539]) ).
fof(f539,plain,
( e4 != unit
| e4 != op(e2,e3)
| ~ sP113 ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3)
| ~ sP113 ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3)
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f9536,plain,
( ~ spl154_14
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179
| ~ spl154_415 ),
inference(avatar_split_clause,[],[f9117,f5422,f2069,f1934,f1859,f1179]) ).
fof(f1179,plain,
( spl154_14
<=> sP100 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_14])]) ).
fof(f9117,plain,
( ~ sP100
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179
| ~ spl154_415 ),
inference(trivial_inequality_removal,[],[f9116]) ).
fof(f9116,plain,
( unit != unit
| ~ sP100
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179
| ~ spl154_415 ),
inference(forward_demodulation,[],[f9115,f9032]) ).
fof(f9115,plain,
( e4 != unit
| ~ sP100
| ~ spl154_135
| ~ spl154_415 ),
inference(trivial_inequality_removal,[],[f9114]) ).
fof(f9114,plain,
( unit != unit
| e4 != unit
| ~ sP100
| ~ spl154_135
| ~ spl154_415 ),
inference(forward_demodulation,[],[f8131,f5423]) ).
fof(f8131,plain,
( unit != op(unit,unit)
| e4 != unit
| ~ sP100
| ~ spl154_135 ),
inference(forward_demodulation,[],[f994,f1860]) ).
fof(f994,plain,
( e4 != unit
| op(e0,e0) != unit
| ~ sP100 ),
inference(inner_rewriting,[],[f565]) ).
fof(f565,plain,
( e4 != unit
| op(e0,e0) != e4
| ~ sP100 ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4
| ~ sP100 ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f9535,plain,
( ~ spl154_201
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179
| ~ spl154_415 ),
inference(avatar_split_clause,[],[f9113,f5422,f2069,f1934,f1859,f2177]) ).
fof(f2177,plain,
( spl154_201
<=> sP124 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_201])]) ).
fof(f9113,plain,
( ~ sP124
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179
| ~ spl154_415 ),
inference(trivial_inequality_removal,[],[f9112]) ).
fof(f9112,plain,
( unit != unit
| ~ sP124
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179
| ~ spl154_415 ),
inference(forward_demodulation,[],[f9111,f5423]) ).
fof(f9111,plain,
( unit != op(unit,unit)
| ~ sP124
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179 ),
inference(trivial_inequality_removal,[],[f9110]) ).
fof(f9110,plain,
( unit != unit
| unit != op(unit,unit)
| ~ sP124
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179 ),
inference(forward_demodulation,[],[f970,f9032]) ).
fof(f970,plain,
( e4 != unit
| unit != op(unit,unit)
| ~ sP124 ),
inference(inner_rewriting,[],[f517]) ).
fof(f517,plain,
( e4 != unit
| e4 != op(e4,e4)
| ~ sP124 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4)
| ~ sP124 ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4)
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f9534,plain,
( ~ spl154_24
| ~ spl154_135
| ~ spl154_139
| ~ spl154_140
| ~ spl154_147
| ~ spl154_156
| ~ spl154_333
| ~ spl154_369
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6630,f3642,f3183,f2876,f1961,f1919,f1884,f1879,f1859,f1230]) ).
fof(f1230,plain,
( spl154_24
<=> sP103 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_24])]) ).
fof(f6630,plain,
( ~ sP103
| ~ spl154_135
| ~ spl154_139
| ~ spl154_140
| ~ spl154_147
| ~ spl154_156
| ~ spl154_333
| ~ spl154_369
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6629]) ).
fof(f6629,plain,
( unit != unit
| ~ sP103
| ~ spl154_135
| ~ spl154_139
| ~ spl154_140
| ~ spl154_147
| ~ spl154_156
| ~ spl154_333
| ~ spl154_369
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6628,f1860]) ).
fof(f6628,plain,
( e0 != unit
| ~ sP103
| ~ spl154_135
| ~ spl154_139
| ~ spl154_140
| ~ spl154_147
| ~ spl154_156
| ~ spl154_333
| ~ spl154_369
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6627,f1881]) ).
fof(f6627,plain,
( unit != op(e0,unit)
| ~ sP103
| ~ spl154_135
| ~ spl154_139
| ~ spl154_140
| ~ spl154_147
| ~ spl154_156
| ~ spl154_333
| ~ spl154_369
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6626,f6555]) ).
fof(f6626,plain,
( op(e0,e1) != unit
| ~ sP103
| ~ spl154_140
| ~ spl154_147
| ~ spl154_333
| ~ spl154_369
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6625,f6384]) ).
fof(f6384,plain,
( e1 = e3
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4528,f1886]) ).
fof(f4528,plain,
( e3 = op(unit,e1)
| ~ spl154_333
| ~ spl154_369 ),
inference(superposition,[],[f3185,f2877]) ).
fof(f6625,plain,
( op(e0,e3) != unit
| ~ sP103
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6624]) ).
fof(f6624,plain,
( unit != unit
| op(e0,e3) != unit
| ~ sP103
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f991,f5402]) ).
fof(f991,plain,
( e4 != unit
| op(e0,e3) != unit
| ~ sP103 ),
inference(inner_rewriting,[],[f559]) ).
fof(f559,plain,
( e4 != unit
| e4 != op(e0,e3)
| ~ sP103 ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3)
| ~ sP103 ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3)
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f9533,plain,
( ~ spl154_39
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6601,f3642,f1919,f1859,f1313]) ).
fof(f1313,plain,
( spl154_39
<=> sP106 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_39])]) ).
fof(f6601,plain,
( ~ sP106
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6600]) ).
fof(f6600,plain,
( unit != unit
| ~ sP106
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6599,f5402]) ).
fof(f6599,plain,
( e4 != unit
| ~ sP106
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f6598]) ).
fof(f6598,plain,
( unit != unit
| e4 != unit
| ~ sP106
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1341,f1860]) ).
fof(f1341,plain,
( e0 != unit
| e4 != unit
| ~ sP106 ),
inference(forward_demodulation,[],[f988,f1097]) ).
fof(f988,plain,
( e4 != unit
| op(e1,e1) != unit
| ~ sP106 ),
inference(inner_rewriting,[],[f553]) ).
fof(f553,plain,
( e4 != unit
| e4 != op(e1,e1)
| ~ sP106 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1)
| ~ sP106 ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1)
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f9532,plain,
( ~ spl154_29
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6597,f3642,f1919,f1859,f1257]) ).
fof(f1257,plain,
( spl154_29
<=> sP104 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_29])]) ).
fof(f6597,plain,
( ~ sP104
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6596]) ).
fof(f6596,plain,
( unit != unit
| ~ sP104
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6595,f5402]) ).
fof(f6595,plain,
( e4 != unit
| ~ sP104
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f6594]) ).
fof(f6594,plain,
( unit != unit
| e4 != unit
| ~ sP104
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1283,f1860]) ).
fof(f1283,plain,
( e0 != unit
| e4 != unit
| ~ sP104 ),
inference(forward_demodulation,[],[f990,f781]) ).
fof(f781,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f990,plain,
( e4 != unit
| unit != op(e0,unit)
| ~ sP104 ),
inference(inner_rewriting,[],[f557]) ).
fof(f557,plain,
( e4 != unit
| e4 != op(e0,e4)
| ~ sP104 ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4)
| ~ sP104 ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4)
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f9531,plain,
( ~ spl154_15
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6593,f3642,f1961,f1919,f1879,f1859,f1184]) ).
fof(f1184,plain,
( spl154_15
<=> sP101 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_15])]) ).
fof(f6593,plain,
( ~ sP101
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6592]) ).
fof(f6592,plain,
( unit != unit
| ~ sP101
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6591,f1860]) ).
fof(f6591,plain,
( e0 != unit
| ~ sP101
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6590,f1881]) ).
fof(f6590,plain,
( unit != op(e0,unit)
| ~ sP101
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6589,f6555]) ).
fof(f6589,plain,
( op(e0,e1) != unit
| ~ sP101
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6588]) ).
fof(f6588,plain,
( unit != unit
| op(e0,e1) != unit
| ~ sP101
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f993,f5402]) ).
fof(f993,plain,
( e4 != unit
| op(e0,e1) != unit
| ~ sP101 ),
inference(inner_rewriting,[],[f563]) ).
fof(f563,plain,
( e4 != unit
| e4 != op(e0,e1)
| ~ sP101 ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1)
| ~ sP101 ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1)
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f9035,plain,
( ~ spl154_415
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179
| spl154_335 ),
inference(avatar_split_clause,[],[f9034,f2885,f2069,f1934,f1859,f5422]) ).
fof(f9034,plain,
( unit != op(unit,unit)
| ~ spl154_135
| ~ spl154_150
| ~ spl154_179
| spl154_335 ),
inference(forward_demodulation,[],[f2886,f9032]) ).
fof(f2886,plain,
( e4 != op(e4,e4)
| spl154_335 ),
inference(avatar_component_clause,[],[f2885]) ).
fof(f9033,plain,
( ~ spl154_178
| spl154_131
| ~ spl154_154
| ~ spl154_335 ),
inference(avatar_split_clause,[],[f9029,f2885,f1952,f1839,f2065]) ).
fof(f2065,plain,
( spl154_178
<=> sP139 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_178])]) ).
fof(f9029,plain,
( e1 = e4
| ~ sP139
| ~ spl154_154
| ~ spl154_335 ),
inference(forward_demodulation,[],[f9028,f9005]) ).
fof(f9005,plain,
( e2 = e4
| ~ spl154_154
| ~ spl154_335 ),
inference(superposition,[],[f2887,f1954]) ).
fof(f9028,plain,
( e1 = e2
| ~ sP139
| ~ spl154_154 ),
inference(forward_demodulation,[],[f362,f1954]) ).
fof(f362,plain,
( e1 = op(e4,e4)
| ~ sP139 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP139 ),
inference(nnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f9027,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_150
| ~ spl154_185 ),
inference(avatar_split_clause,[],[f9025,f2099,f1934,f1859,f1869]) ).
fof(f9025,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_150
| ~ spl154_185 ),
inference(forward_demodulation,[],[f9024,f1860]) ).
fof(f9022,plain,
( spl154_132
| ~ spl154_148
| ~ spl154_173 ),
inference(avatar_split_clause,[],[f9021,f2039,f1924,f1844]) ).
fof(f2039,plain,
( spl154_173
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_173])]) ).
fof(f9021,plain,
( e2 = e3
| ~ spl154_148
| ~ spl154_173 ),
inference(forward_demodulation,[],[f2041,f1926]) ).
fof(f2041,plain,
( e2 = op(e2,e2)
| ~ spl154_173 ),
inference(avatar_component_clause,[],[f2039]) ).
fof(f9019,plain,
( ~ spl154_174
| spl154_334
| ~ spl154_135
| ~ spl154_150 ),
inference(avatar_split_clause,[],[f8998,f1934,f1859,f2880,f2045]) ).
fof(f2045,plain,
( spl154_174
<=> sP141 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_174])]) ).
fof(f8998,plain,
( e2 = unit
| ~ sP141
| ~ spl154_135
| ~ spl154_150 ),
inference(forward_demodulation,[],[f8997,f1860]) ).
fof(f8997,plain,
( e0 = e2
| ~ sP141
| ~ spl154_150 ),
inference(forward_demodulation,[],[f356,f1936]) ).
fof(f356,plain,
( e2 = op(e1,e1)
| ~ sP141 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP141 ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f8995,plain,
( spl154_136
| ~ spl154_135
| ~ spl154_150
| ~ spl154_181 ),
inference(avatar_split_clause,[],[f8994,f2079,f1934,f1859,f1864]) ).
fof(f8994,plain,
( e3 = unit
| ~ spl154_135
| ~ spl154_150
| ~ spl154_181 ),
inference(forward_demodulation,[],[f8993,f1860]) ).
fof(f8993,plain,
( e0 = e3
| ~ spl154_150
| ~ spl154_181 ),
inference(forward_demodulation,[],[f2081,f1936]) ).
fof(f8991,plain,
( ~ spl154_195
| ~ spl154_415
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f5439,f1859,f5422,f2146]) ).
fof(f5439,plain,
( unit != op(unit,unit)
| ~ sP130
| ~ spl154_135 ),
inference(forward_demodulation,[],[f390,f1860]) ).
fof(f8990,plain,
( spl154_415
| ~ spl154_135
| ~ spl154_139 ),
inference(avatar_split_clause,[],[f3350,f1879,f1859,f5422]) ).
fof(f8980,plain,
( ~ spl154_398
| ~ spl154_160
| spl154_317 ),
inference(avatar_split_clause,[],[f3001,f2794,f1979,f3951]) ).
fof(f3951,plain,
( spl154_398
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_398])]) ).
fof(f2794,plain,
( spl154_317
<=> op(e3,e1) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_317])]) ).
fof(f3001,plain,
( e4 != op(e3,e1)
| ~ spl154_160
| spl154_317 ),
inference(superposition,[],[f2796,f1981]) ).
fof(f2796,plain,
( op(e3,e1) != op(e3,e3)
| spl154_317 ),
inference(avatar_component_clause,[],[f2794]) ).
fof(f8979,plain,
( spl154_411
| spl154_212
| spl154_364
| spl154_370
| spl154_342 ),
inference(avatar_split_clause,[],[f965,f3045,f3189,f3159,f2236,f4875]) ).
fof(f965,plain,
( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8978,plain,
( spl154_410
| spl154_210
| spl154_338
| spl154_359
| spl154_375 ),
inference(avatar_split_clause,[],[f960,f3214,f3134,f3025,f2225,f4871]) ).
fof(f960,plain,
( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8977,plain,
( spl154_409
| spl154_208
| spl154_299
| spl154_297
| spl154_347 ),
inference(avatar_split_clause,[],[f955,f3070,f2685,f2696,f2214,f4867]) ).
fof(f2214,plain,
( spl154_208
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_208])]) ).
fof(f2685,plain,
( spl154_297
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_297])]) ).
fof(f955,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8976,plain,
( spl154_377
| spl154_356
| spl154_354
| spl154_336
| spl154_423 ),
inference(avatar_split_clause,[],[f949,f8873,f3014,f3103,f3112,f3225]) ).
fof(f949,plain,
( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8975,plain,
( spl154_378
| spl154_362
| spl154_248
| spl154_421
| spl154_422 ),
inference(avatar_split_clause,[],[f948,f8869,f8844,f2428,f3149,f3230]) ).
fof(f948,plain,
( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8974,plain,
( spl154_379
| spl154_234
| spl154_384
| spl154_232
| spl154_353 ),
inference(avatar_split_clause,[],[f947,f3099,f2341,f3449,f2352,f3235]) ).
fof(f2352,plain,
( spl154_234
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_234])]) ).
fof(f2341,plain,
( spl154_232
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_232])]) ).
fof(f947,plain,
( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8973,plain,
( spl154_217
| spl154_406
| spl154_367
| spl154_361
| spl154_355 ),
inference(avatar_split_clause,[],[f946,f3108,f3145,f3174,f4843,f2262]) ).
fof(f2262,plain,
( spl154_217
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_217])]) ).
fof(f946,plain,
( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8972,plain,
( spl154_196
| spl154_187
| spl154_193
| spl154_191
| spl154_189 ),
inference(avatar_split_clause,[],[f945,f2118,f2127,f2136,f2109,f2150]) ).
fof(f945,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8971,plain,
( spl154_377
| spl154_291
| spl154_348
| spl154_374
| spl154_158 ),
inference(avatar_split_clause,[],[f936,f1970,f3210,f3074,f2654,f3225]) ).
fof(f2654,plain,
( spl154_291
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_291])]) ).
fof(f936,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8970,plain,
( spl154_411
| spl154_226
| spl154_365
| spl154_373
| spl154_158 ),
inference(avatar_split_clause,[],[f935,f1970,f3204,f3163,f2310,f4875]) ).
fof(f2310,plain,
( spl154_226
<=> e0 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_226])]) ).
fof(f935,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8968,plain,
( ~ spl154_339
| ~ spl154_154
| spl154_268 ),
inference(avatar_split_clause,[],[f2917,f2531,f1952,f3030]) ).
fof(f3030,plain,
( spl154_339
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_339])]) ).
fof(f2531,plain,
( spl154_268
<=> op(e3,e4) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_268])]) ).
fof(f2917,plain,
( e2 != op(e3,e4)
| ~ spl154_154
| spl154_268 ),
inference(superposition,[],[f2533,f1954]) ).
fof(f2533,plain,
( op(e3,e4) != op(e4,e4)
| spl154_268 ),
inference(avatar_component_clause,[],[f2531]) ).
fof(f8967,plain,
( spl154_378
| spl154_289
| spl154_376
| spl154_168
| spl154_373 ),
inference(avatar_split_clause,[],[f926,f3204,f2015,f3219,f2643,f3230]) ).
fof(f2643,plain,
( spl154_289
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_289])]) ).
fof(f926,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8965,plain,
( ~ spl154_425
| ~ spl154_135
| spl154_424 ),
inference(avatar_split_clause,[],[f8960,f8956,f1859,f8962]) ).
fof(f8962,plain,
( spl154_425
<=> op(e3,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_425])]) ).
fof(f8960,plain,
( op(e3,e2) != unit
| ~ spl154_135
| spl154_424 ),
inference(forward_demodulation,[],[f8957,f1860]) ).
fof(f8959,plain,
( spl154_410
| spl154_224
| spl154_424
| spl154_168
| spl154_374 ),
inference(avatar_split_clause,[],[f925,f3210,f2015,f8956,f2299,f4871]) ).
fof(f2299,plain,
( spl154_224
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_224])]) ).
fof(f925,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8947,plain,
( spl154_403
| ~ spl154_135
| ~ spl154_376 ),
inference(avatar_split_clause,[],[f8946,f3219,f1859,f4633]) ).
fof(f8946,plain,
( op(e2,e3) = unit
| ~ spl154_135
| ~ spl154_376 ),
inference(forward_demodulation,[],[f3220,f1860]) ).
fof(f8945,plain,
( spl154_409
| spl154_222
| spl154_177
| spl154_376
| spl154_348 ),
inference(avatar_split_clause,[],[f915,f3074,f3219,f2059,f2288,f4867]) ).
fof(f2288,plain,
( spl154_222
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_222])]) ).
fof(f915,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8939,plain,
( spl154_134
| ~ spl154_135
| ~ spl154_145
| ~ spl154_375 ),
inference(avatar_split_clause,[],[f8932,f3214,f1909,f1859,f1854]) ).
fof(f8932,plain,
( e3 = e4
| ~ spl154_135
| ~ spl154_145
| ~ spl154_375 ),
inference(forward_demodulation,[],[f8931,f1911]) ).
fof(f8931,plain,
( e4 = op(e3,unit)
| ~ spl154_135
| ~ spl154_375 ),
inference(forward_demodulation,[],[f3216,f1860]) ).
fof(f8930,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_154
| ~ spl154_158
| ~ spl154_257
| ~ spl154_368 ),
inference(avatar_split_clause,[],[f8929,f3179,f2476,f1970,f1952,f1859,f1869]) ).
fof(f8929,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_154
| ~ spl154_158
| ~ spl154_257
| ~ spl154_368 ),
inference(forward_demodulation,[],[f8928,f8892]) ).
fof(f8892,plain,
( e2 = unit
| ~ spl154_135
| ~ spl154_154
| ~ spl154_158 ),
inference(forward_demodulation,[],[f2933,f1860]) ).
fof(f2933,plain,
( e0 = e2
| ~ spl154_154
| ~ spl154_158 ),
inference(superposition,[],[f1972,f1954]) ).
fof(f8928,plain,
( e1 = e2
| ~ spl154_257
| ~ spl154_368 ),
inference(forward_demodulation,[],[f2477,f3180]) ).
fof(f3180,plain,
( e1 = op(e4,e3)
| ~ spl154_368 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f8894,plain,
( spl154_404
| ~ spl154_135
| ~ spl154_158 ),
inference(avatar_split_clause,[],[f8893,f1970,f1859,f4639]) ).
fof(f8893,plain,
( op(e4,e4) = unit
| ~ spl154_135
| ~ spl154_158 ),
inference(forward_demodulation,[],[f1972,f1860]) ).
fof(f8884,plain,
( spl154_189
| spl154_352
| spl154_347
| spl154_375
| spl154_342 ),
inference(avatar_split_clause,[],[f904,f3045,f3214,f3070,f3093,f2118]) ).
fof(f904,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f8880,plain,
( spl154_134
| ~ spl154_135
| ~ spl154_144
| ~ spl154_422 ),
inference(avatar_split_clause,[],[f8879,f8869,f1904,f1859,f1854]) ).
fof(f8879,plain,
( e3 = e4
| ~ spl154_135
| ~ spl154_144
| ~ spl154_422 ),
inference(forward_demodulation,[],[f8878,f1906]) ).
fof(f8878,plain,
( e4 = op(unit,e3)
| ~ spl154_135
| ~ spl154_422 ),
inference(forward_demodulation,[],[f8871,f1860]) ).
fof(f8876,plain,
( spl154_189
| spl154_355
| spl154_353
| spl154_422
| spl154_423 ),
inference(avatar_split_clause,[],[f903,f8873,f8869,f3099,f3108,f2118]) ).
fof(f903,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f8867,plain,
( spl154_191
| spl154_360
| spl154_297
| spl154_359
| spl154_370 ),
inference(avatar_split_clause,[],[f902,f3189,f3134,f2685,f3139,f2127]) ).
fof(f902,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f8864,plain,
( spl154_136
| ~ spl154_135
| ~ spl154_139
| ~ spl154_191 ),
inference(avatar_split_clause,[],[f8863,f2127,f1879,f1859,f1864]) ).
fof(f8863,plain,
( e3 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_191 ),
inference(forward_demodulation,[],[f8862,f3350]) ).
fof(f8862,plain,
( e3 = op(unit,unit)
| ~ spl154_135
| ~ spl154_191 ),
inference(forward_demodulation,[],[f2129,f1860]) ).
fof(f8855,plain,
( spl154_130
| ~ spl154_135
| ~ spl154_140
| ~ spl154_361 ),
inference(avatar_split_clause,[],[f8854,f3145,f1884,f1859,f1834]) ).
fof(f8854,plain,
( e1 = e3
| ~ spl154_135
| ~ spl154_140
| ~ spl154_361 ),
inference(forward_demodulation,[],[f8853,f1886]) ).
fof(f8853,plain,
( e3 = op(unit,e1)
| ~ spl154_135
| ~ spl154_361 ),
inference(forward_demodulation,[],[f3146,f1860]) ).
fof(f8847,plain,
( spl154_191
| spl154_361
| spl154_232
| spl154_421
| spl154_336 ),
inference(avatar_split_clause,[],[f901,f3014,f8844,f2341,f3145,f2127]) ).
fof(f901,plain,
( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f8829,plain,
( ~ spl154_135
| spl154_374
| ~ spl154_382 ),
inference(avatar_split_clause,[],[f8819,f3344,f3210,f1859]) ).
fof(f8819,plain,
( e0 != unit
| spl154_374
| ~ spl154_382 ),
inference(superposition,[],[f3212,f3345]) ).
fof(f3212,plain,
( e0 != op(e3,e4)
| spl154_374 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f8823,plain,
( spl154_346
| spl154_321
| spl154_131
| spl154_129
| spl154_130
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_349 ),
inference(avatar_split_clause,[],[f8803,f3079,f1952,f1914,f1859,f1834,f1829,f1839,f2816,f3065]) ).
fof(f2816,plain,
( spl154_321
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_321])]) ).
fof(f8803,plain,
( e1 = e3
| e1 = e2
| e1 = e4
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8067,f3080]) ).
fof(f8067,plain,
( e1 = e2
| e1 = e4
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154 ),
inference(forward_demodulation,[],[f7598,f1954]) ).
fof(f7598,plain,
( e1 = e4
| e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146 ),
inference(forward_demodulation,[],[f7597,f1916]) ).
fof(f7597,plain,
( e1 = op(unit,e4)
| e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| ~ spl154_135 ),
inference(forward_demodulation,[],[f938,f1860]) ).
fof(f938,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8822,plain,
( ~ spl154_111
| ~ spl154_382
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f8811,f1859,f3344,f1733]) ).
fof(f1733,plain,
( spl154_111
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_111])]) ).
fof(f8811,plain,
( op(e3,e4) != unit
| ~ sP19
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f8810]) ).
fof(f8810,plain,
( unit != unit
| op(e3,e4) != unit
| ~ sP19
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1075,f1860]) ).
fof(f1075,plain,
( e0 != unit
| op(e3,e4) != unit
| ~ sP19 ),
inference(inner_rewriting,[],[f727]) ).
fof(f727,plain,
( e0 != unit
| e0 != op(e3,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4)
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4)
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f8809,plain,
( spl154_334
| spl154_382
| spl154_392
| spl154_136
| spl154_333
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_349 ),
inference(avatar_split_clause,[],[f8797,f3079,f1952,f1914,f1859,f2876,f1864,f3679,f3344,f2880]) ).
fof(f3679,plain,
( spl154_392
<=> op(e2,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_392])]) ).
fof(f8797,plain,
( e4 = unit
| e3 = unit
| op(e2,e4) = unit
| op(e3,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8796,f1916]) ).
fof(f8796,plain,
( unit = op(unit,e4)
| e3 = unit
| op(e2,e4) = unit
| op(e3,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_154
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8795,f1860]) ).
fof(f8795,plain,
( e3 = unit
| op(e2,e4) = unit
| op(e3,e4) = unit
| e2 = unit
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8794,f1860]) ).
fof(f8794,plain,
( e0 = e3
| op(e2,e4) = unit
| op(e3,e4) = unit
| e2 = unit
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8793,f3080]) ).
fof(f8793,plain,
( op(e2,e4) = unit
| op(e3,e4) = unit
| e2 = unit
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154 ),
inference(forward_demodulation,[],[f8787,f1860]) ).
fof(f8787,plain,
( op(e3,e4) = unit
| e2 = unit
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154 ),
inference(forward_demodulation,[],[f7746,f1860]) ).
fof(f7746,plain,
( e2 = unit
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154 ),
inference(forward_demodulation,[],[f2972,f1860]) ).
fof(f2972,plain,
( e0 = e2
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_154 ),
inference(forward_demodulation,[],[f936,f1954]) ).
fof(f8807,plain,
( spl154_392
| ~ spl154_135
| ~ spl154_348 ),
inference(avatar_split_clause,[],[f8805,f3074,f1859,f3679]) ).
fof(f8805,plain,
( op(e2,e4) = unit
| ~ spl154_135
| ~ spl154_348 ),
inference(forward_demodulation,[],[f3076,f1860]) ).
fof(f8792,plain,
( spl154_321
| spl154_131
| spl154_129
| spl154_137
| spl154_130
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_349
| ~ spl154_392 ),
inference(avatar_split_clause,[],[f8782,f3679,f3079,f1952,f1914,f1859,f1834,f1869,f1829,f1839,f2816]) ).
fof(f8782,plain,
( e1 = e3
| e1 = unit
| e1 = e2
| e1 = e4
| e1 = op(e3,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_349
| ~ spl154_392 ),
inference(forward_demodulation,[],[f8781,f3080]) ).
fof(f8781,plain,
( e1 = unit
| e1 = e2
| e1 = e4
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_392 ),
inference(forward_demodulation,[],[f8756,f3680]) ).
fof(f3680,plain,
( op(e2,e4) = unit
| ~ spl154_392 ),
inference(avatar_component_clause,[],[f3679]) ).
fof(f8756,plain,
( e1 = e2
| e1 = e4
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154 ),
inference(forward_demodulation,[],[f7598,f1954]) ).
fof(f8780,plain,
( spl154_285
| spl154_131
| spl154_129
| spl154_137
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_392 ),
inference(avatar_split_clause,[],[f8070,f3679,f3030,f1952,f1914,f1859,f1869,f1829,f1839,f2621]) ).
fof(f2621,plain,
( spl154_285
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_285])]) ).
fof(f8070,plain,
( e1 = unit
| e1 = e2
| e1 = e4
| e1 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_392 ),
inference(forward_demodulation,[],[f8069,f3680]) ).
fof(f8069,plain,
( e1 = e2
| e1 = e4
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339 ),
inference(duplicate_literal_removal,[],[f8068]) ).
fof(f8068,plain,
( e1 = e2
| e1 = e2
| e1 = e4
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f8067,f3031]) ).
fof(f3031,plain,
( e2 = op(e3,e4)
| ~ spl154_339 ),
inference(avatar_component_clause,[],[f3030]) ).
fof(f8778,plain,
( ~ spl154_135
| spl154_348
| ~ spl154_392 ),
inference(avatar_split_clause,[],[f8774,f3679,f3074,f1859]) ).
fof(f8774,plain,
( e0 != unit
| spl154_348
| ~ spl154_392 ),
inference(superposition,[],[f3075,f3680]) ).
fof(f8750,plain,
( spl154_334
| spl154_392
| spl154_136
| spl154_333
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_349 ),
inference(avatar_split_clause,[],[f8739,f3079,f3030,f1952,f1914,f1859,f2876,f1864,f3679,f2880]) ).
fof(f8739,plain,
( e4 = unit
| e3 = unit
| op(e2,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8738,f1916]) ).
fof(f8738,plain,
( unit = op(unit,e4)
| e3 = unit
| op(e2,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8737,f1860]) ).
fof(f8737,plain,
( e3 = unit
| op(e2,e4) = unit
| e2 = unit
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8736,f1860]) ).
fof(f8736,plain,
( e0 = e3
| op(e2,e4) = unit
| e2 = unit
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339
| ~ spl154_349 ),
inference(forward_demodulation,[],[f8700,f3080]) ).
fof(f8700,plain,
( op(e2,e4) = unit
| e2 = unit
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f8699,f1860]) ).
fof(f8699,plain,
( e2 = unit
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(duplicate_literal_removal,[],[f8698]) ).
fof(f8698,plain,
( e2 = unit
| e2 = unit
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f8697,f1860]) ).
fof(f8697,plain,
( e0 = e2
| e2 = unit
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f8696,f3031]) ).
fof(f8696,plain,
( e2 = unit
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154 ),
inference(forward_demodulation,[],[f2972,f1860]) ).
fof(f8735,plain,
( spl154_334
| spl154_392
| spl154_333
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_419 ),
inference(avatar_split_clause,[],[f8668,f8461,f3030,f1952,f1914,f1859,f2876,f3679,f2880]) ).
fof(f8461,plain,
( spl154_419
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_419])]) ).
fof(f8668,plain,
( e4 = unit
| op(e2,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_419 ),
inference(duplicate_literal_removal,[],[f8667]) ).
fof(f8667,plain,
( e4 = unit
| e4 = unit
| op(e2,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_419 ),
inference(forward_demodulation,[],[f8252,f8463]) ).
fof(f8463,plain,
( e4 = op(e1,e4)
| ~ spl154_419 ),
inference(avatar_component_clause,[],[f8461]) ).
fof(f8252,plain,
( e4 = unit
| op(e1,e4) = unit
| op(e2,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f8251,f1916]) ).
fof(f8251,plain,
( unit = op(unit,e4)
| op(e1,e4) = unit
| op(e2,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f8250,f1860]) ).
fof(f8250,plain,
( op(e1,e4) = unit
| op(e2,e4) = unit
| e2 = unit
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f8175,f1860]) ).
fof(f8175,plain,
( op(e2,e4) = unit
| e2 = unit
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f7749,f1860]) ).
fof(f7749,plain,
( e2 = unit
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(duplicate_literal_removal,[],[f7748]) ).
fof(f7748,plain,
( e2 = unit
| e2 = unit
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f7747,f1860]) ).
fof(f7747,plain,
( e0 = e2
| e2 = unit
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4)
| ~ spl154_135
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f7746,f3031]) ).
fof(f8634,plain,
( spl154_371
| spl154_368
| spl154_131
| spl154_130
| spl154_129
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_252 ),
inference(avatar_split_clause,[],[f8570,f2449,f1979,f1904,f1859,f1829,f1834,f1839,f3179,f3194]) ).
fof(f3194,plain,
( spl154_371
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_371])]) ).
fof(f2449,plain,
( spl154_252
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_252])]) ).
fof(f8570,plain,
( e1 = e2
| e1 = e3
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_252 ),
inference(forward_demodulation,[],[f8245,f2450]) ).
fof(f2450,plain,
( e2 = op(e1,e3)
| ~ spl154_252 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f8245,plain,
( e1 = e3
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160 ),
inference(forward_demodulation,[],[f8244,f1906]) ).
fof(f8244,plain,
( e1 = op(unit,e3)
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl154_135
| ~ spl154_160 ),
inference(forward_demodulation,[],[f3758,f1860]) ).
fof(f3758,plain,
( e1 = e4
| e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160 ),
inference(forward_demodulation,[],[f928,f1981]) ).
fof(f8622,plain,
( spl154_154
| spl154_129
| spl154_334
| spl154_132
| spl154_133
| ~ spl154_135
| ~ spl154_147
| ~ spl154_368
| ~ spl154_369
| ~ spl154_380 ),
inference(avatar_split_clause,[],[f8616,f3333,f3183,f3179,f1919,f1859,f1849,f1844,f2880,f1829,f1952]) ).
fof(f8616,plain,
( e2 = e4
| e2 = e3
| e2 = unit
| e1 = e2
| e2 = op(e4,e4)
| ~ spl154_135
| ~ spl154_147
| ~ spl154_368
| ~ spl154_369
| ~ spl154_380 ),
inference(forward_demodulation,[],[f8615,f1921]) ).
fof(f8615,plain,
( e2 = op(e4,unit)
| e2 = e3
| e2 = unit
| e1 = e2
| e2 = op(e4,e4)
| ~ spl154_135
| ~ spl154_368
| ~ spl154_369
| ~ spl154_380 ),
inference(forward_demodulation,[],[f8614,f1860]) ).
fof(f8614,plain,
( e2 = e3
| e2 = unit
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e0)
| ~ spl154_368
| ~ spl154_369
| ~ spl154_380 ),
inference(forward_demodulation,[],[f8613,f3185]) ).
fof(f8613,plain,
( e2 = unit
| e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_368
| ~ spl154_380 ),
inference(forward_demodulation,[],[f8612,f3334]) ).
fof(f8612,plain,
( e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_368 ),
inference(forward_demodulation,[],[f939,f3180]) ).
fof(f8621,plain,
( ~ spl154_420
| ~ spl154_160
| spl154_253 ),
inference(avatar_split_clause,[],[f2999,f2454,f1979,f8618]) ).
fof(f8618,plain,
( spl154_420
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_420])]) ).
fof(f2454,plain,
( spl154_253
<=> op(e1,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_253])]) ).
fof(f2999,plain,
( e4 != op(e1,e3)
| ~ spl154_160
| spl154_253 ),
inference(superposition,[],[f2456,f1981]) ).
fof(f2456,plain,
( op(e1,e3) != op(e3,e3)
| spl154_253 ),
inference(avatar_component_clause,[],[f2454]) ).
fof(f8604,plain,
( spl154_257
| spl154_334
| spl154_132
| spl154_133
| ~ spl154_135
| ~ spl154_147
| ~ spl154_369
| ~ spl154_380
| ~ spl154_404 ),
inference(avatar_split_clause,[],[f8534,f4639,f3333,f3183,f1919,f1859,f1849,f1844,f2880,f2476]) ).
fof(f8534,plain,
( e2 = e4
| e2 = e3
| e2 = unit
| e2 = op(e4,e3)
| ~ spl154_135
| ~ spl154_147
| ~ spl154_369
| ~ spl154_380
| ~ spl154_404 ),
inference(forward_demodulation,[],[f8533,f1921]) ).
fof(f8533,plain,
( e2 = op(e4,unit)
| e2 = e3
| e2 = unit
| e2 = op(e4,e3)
| ~ spl154_135
| ~ spl154_369
| ~ spl154_380
| ~ spl154_404 ),
inference(forward_demodulation,[],[f8532,f1860]) ).
fof(f8532,plain,
( e2 = e3
| e2 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e0)
| ~ spl154_369
| ~ spl154_380
| ~ spl154_404 ),
inference(forward_demodulation,[],[f8531,f3185]) ).
fof(f8531,plain,
( e2 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_380
| ~ spl154_404 ),
inference(duplicate_literal_removal,[],[f8530]) ).
fof(f8530,plain,
( e2 = unit
| e2 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_380
| ~ spl154_404 ),
inference(forward_demodulation,[],[f8500,f3334]) ).
fof(f8500,plain,
( e2 = unit
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0)
| ~ spl154_404 ),
inference(forward_demodulation,[],[f939,f4641]) ).
fof(f8585,plain,
( spl154_368
| spl154_137
| spl154_130
| spl154_131
| ~ spl154_135
| ~ spl154_147
| ~ spl154_369
| ~ spl154_380
| ~ spl154_404 ),
inference(avatar_split_clause,[],[f8524,f4639,f3333,f3183,f1919,f1859,f1839,f1834,f1869,f3179]) ).
fof(f8524,plain,
( e1 = e4
| e1 = e3
| e1 = unit
| e1 = op(e4,e3)
| ~ spl154_135
| ~ spl154_147
| ~ spl154_369
| ~ spl154_380
| ~ spl154_404 ),
inference(forward_demodulation,[],[f8523,f1921]) ).
fof(f8523,plain,
( e1 = op(e4,unit)
| e1 = e3
| e1 = unit
| e1 = op(e4,e3)
| ~ spl154_135
| ~ spl154_369
| ~ spl154_380
| ~ spl154_404 ),
inference(forward_demodulation,[],[f8522,f1860]) ).
fof(f8522,plain,
( e1 = e3
| e1 = unit
| e1 = op(e4,e3)
| e1 = op(e4,e0)
| ~ spl154_369
| ~ spl154_380
| ~ spl154_404 ),
inference(forward_demodulation,[],[f8521,f3185]) ).
fof(f8521,plain,
( e1 = unit
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_380
| ~ spl154_404 ),
inference(duplicate_literal_removal,[],[f8520]) ).
fof(f8520,plain,
( e1 = unit
| e1 = unit
| e1 = op(e4,e3)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_380
| ~ spl154_404 ),
inference(forward_demodulation,[],[f8519,f3334]) ).
fof(f8519,plain,
( e1 = unit
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_404 ),
inference(forward_demodulation,[],[f937,f4641]) ).
fof(f8568,plain,
( spl154_132
| ~ spl154_252
| ~ spl154_399 ),
inference(avatar_split_clause,[],[f4725,f3959,f2449,f1844]) ).
fof(f4725,plain,
( e2 = e3
| ~ spl154_252
| ~ spl154_399 ),
inference(forward_demodulation,[],[f2450,f3961]) ).
fof(f8526,plain,
( spl154_133
| ~ spl154_142
| ~ spl154_383 ),
inference(avatar_split_clause,[],[f3446,f3442,f1894,f1849]) ).
fof(f3446,plain,
( e2 = e4
| ~ spl154_142
| ~ spl154_383 ),
inference(superposition,[],[f3444,f1896]) ).
fof(f3444,plain,
( e4 = op(unit,e2)
| ~ spl154_383 ),
inference(avatar_component_clause,[],[f3442]) ).
fof(f8496,plain,
( spl154_349
| spl154_130
| spl154_134
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_346
| ~ spl154_383 ),
inference(avatar_split_clause,[],[f8441,f3442,f3065,f3030,f1952,f1914,f1894,f1859,f1854,f1834,f3079]) ).
fof(f8441,plain,
( e3 = e4
| e1 = e3
| e3 = op(e1,e4)
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_346
| ~ spl154_383 ),
inference(duplicate_literal_removal,[],[f8440]) ).
fof(f8440,plain,
( e3 = e4
| e1 = e3
| e3 = e4
| e3 = op(e1,e4)
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_346
| ~ spl154_383 ),
inference(forward_demodulation,[],[f8249,f3446]) ).
fof(f8249,plain,
( e1 = e3
| e2 = e3
| e3 = e4
| e3 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_346 ),
inference(forward_demodulation,[],[f8248,f3067]) ).
fof(f8248,plain,
( e2 = e3
| e3 = e4
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339 ),
inference(duplicate_literal_removal,[],[f8247]) ).
fof(f8247,plain,
( e2 = e3
| e2 = e3
| e3 = e4
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339 ),
inference(forward_demodulation,[],[f7744,f1954]) ).
fof(f7744,plain,
( e2 = e3
| e3 = e4
| e3 = op(e4,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_339 ),
inference(forward_demodulation,[],[f7572,f3031]) ).
fof(f7572,plain,
( e3 = e4
| e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| ~ spl154_135
| ~ spl154_146 ),
inference(forward_demodulation,[],[f7571,f1916]) ).
fof(f7571,plain,
( e3 = op(unit,e4)
| e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| ~ spl154_135 ),
inference(forward_demodulation,[],[f942,f1860]) ).
fof(f942,plain,
( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8478,plain,
( spl154_404
| spl154_333
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_383
| ~ spl154_385 ),
inference(avatar_split_clause,[],[f8439,f3453,f3442,f3030,f1952,f1914,f1894,f1859,f2876,f4639]) ).
fof(f8439,plain,
( e4 = unit
| op(e4,e4) = unit
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_383
| ~ spl154_385 ),
inference(duplicate_literal_removal,[],[f8438]) ).
fof(f8438,plain,
( e4 = unit
| op(e4,e4) = unit
| e4 = unit
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_383
| ~ spl154_385 ),
inference(forward_demodulation,[],[f8437,f3446]) ).
fof(f8437,plain,
( op(e4,e4) = unit
| e4 = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_383
| ~ spl154_385 ),
inference(forward_demodulation,[],[f8436,f3446]) ).
fof(f8436,plain,
( e4 = unit
| op(e2,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_383
| ~ spl154_385 ),
inference(duplicate_literal_removal,[],[f8435]) ).
fof(f8435,plain,
( e4 = unit
| e4 = unit
| op(e2,e4) = unit
| e2 = unit
| ~ spl154_135
| ~ spl154_142
| ~ spl154_146
| ~ spl154_154
| ~ spl154_339
| ~ spl154_383
| ~ spl154_385 ),
inference(forward_demodulation,[],[f8252,f3476]) ).
fof(f3476,plain,
( e4 = op(e1,e4)
| ~ spl154_142
| ~ spl154_383
| ~ spl154_385 ),
inference(forward_demodulation,[],[f3455,f3446]) ).
fof(f8464,plain,
( spl154_419
| ~ spl154_142
| ~ spl154_383
| ~ spl154_385 ),
inference(avatar_split_clause,[],[f3476,f3453,f3442,f1894,f8461]) ).
fof(f8446,plain,
( spl154_130
| ~ spl154_135
| ~ spl154_141
| ~ spl154_360 ),
inference(avatar_split_clause,[],[f4741,f3139,f1889,f1859,f1834]) ).
fof(f4741,plain,
( e1 = e3
| ~ spl154_135
| ~ spl154_141
| ~ spl154_360 ),
inference(forward_demodulation,[],[f4740,f1891]) ).
fof(f4740,plain,
( e3 = op(e1,unit)
| ~ spl154_135
| ~ spl154_360 ),
inference(forward_demodulation,[],[f3140,f1860]) ).
fof(f8434,plain,
( spl154_134
| ~ spl154_142
| ~ spl154_349
| ~ spl154_383
| ~ spl154_385 ),
inference(avatar_split_clause,[],[f8430,f3453,f3442,f3079,f1894,f1854]) ).
fof(f8430,plain,
( e3 = e4
| ~ spl154_142
| ~ spl154_349
| ~ spl154_383
| ~ spl154_385 ),
inference(forward_demodulation,[],[f3476,f3080]) ).
fof(f8429,plain,
( spl154_383
| ~ spl154_135
| ~ spl154_353 ),
inference(avatar_split_clause,[],[f7807,f3099,f1859,f3442]) ).
fof(f7807,plain,
( e4 = op(unit,e2)
| ~ spl154_135
| ~ spl154_353 ),
inference(forward_demodulation,[],[f3100,f1860]) ).
fof(f8416,plain,
( ~ spl154_52
| ~ spl154_252
| spl154_134
| ~ spl154_350 ),
inference(avatar_split_clause,[],[f4686,f3084,f1854,f2449,f1396]) ).
fof(f1396,plain,
( spl154_52
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_52])]) ).
fof(f4686,plain,
( e3 = e4
| e2 != op(e1,e3)
| ~ sP58
| ~ spl154_350 ),
inference(forward_demodulation,[],[f648,f3085]) ).
fof(f648,plain,
( e3 = op(e1,e2)
| e2 != op(e1,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3)
| ~ sP58 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3)
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f8403,plain,
( spl154_334
| ~ spl154_380
| ~ spl154_386 ),
inference(avatar_split_clause,[],[f8385,f3457,f3333,f2880]) ).
fof(f8385,plain,
( e2 = unit
| ~ spl154_380
| ~ spl154_386 ),
inference(superposition,[],[f3334,f3459]) ).
fof(f8402,plain,
( ~ spl154_418
| ~ spl154_135
| spl154_168 ),
inference(avatar_split_clause,[],[f7833,f2015,f1859,f8399]) ).
fof(f7833,plain,
( op(e3,e3) != unit
| ~ spl154_135
| spl154_168 ),
inference(forward_demodulation,[],[f2016,f1860]) ).
fof(f2016,plain,
( e0 != op(e3,e3)
| spl154_168 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f8384,plain,
( spl154_380
| ~ spl154_135
| ~ spl154_365 ),
inference(avatar_split_clause,[],[f7606,f3163,f1859,f3333]) ).
fof(f7606,plain,
( op(e4,e2) = unit
| ~ spl154_135
| ~ spl154_365 ),
inference(forward_demodulation,[],[f3165,f1860]) ).
fof(f8382,plain,
( ~ spl154_387
| ~ spl154_135
| spl154_381 ),
inference(avatar_split_clause,[],[f7324,f3338,f1859,f3642]) ).
fof(f7324,plain,
( unit != op(e4,unit)
| ~ spl154_135
| spl154_381 ),
inference(forward_demodulation,[],[f3340,f1860]) ).
fof(f3340,plain,
( op(e4,e0) != unit
| spl154_381 ),
inference(avatar_component_clause,[],[f3338]) ).
fof(f8380,plain,
( ~ spl154_400
| ~ spl154_135
| spl154_379 ),
inference(avatar_split_clause,[],[f6863,f3235,f1859,f4383]) ).
fof(f6863,plain,
( unit != op(unit,e2)
| ~ spl154_135
| spl154_379 ),
inference(forward_demodulation,[],[f3237,f1860]) ).
fof(f8378,plain,
( ~ spl154_414
| ~ spl154_135
| spl154_356 ),
inference(avatar_split_clause,[],[f5574,f3112,f1859,f5405]) ).
fof(f5405,plain,
( spl154_414
<=> e1 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_414])]) ).
fof(f5574,plain,
( e1 != op(unit,e4)
| ~ spl154_135
| spl154_356 ),
inference(forward_demodulation,[],[f3113,f1860]) ).
fof(f3113,plain,
( e1 != op(e0,e4)
| spl154_356 ),
inference(avatar_component_clause,[],[f3112]) ).
fof(f8375,plain,
( ~ spl154_417
| ~ spl154_135
| spl154_362 ),
inference(avatar_split_clause,[],[f5267,f3149,f1859,f8372]) ).
fof(f8372,plain,
( spl154_417
<=> e1 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_417])]) ).
fof(f5267,plain,
( e1 != op(unit,e3)
| ~ spl154_135
| spl154_362 ),
inference(forward_demodulation,[],[f3150,f1860]) ).
fof(f3150,plain,
( e1 != op(e0,e3)
| spl154_362 ),
inference(avatar_component_clause,[],[f3149]) ).
fof(f8368,plain,
( ~ spl154_198
| ~ spl154_135
| ~ spl154_143
| spl154_298 ),
inference(avatar_split_clause,[],[f4161,f2690,f1899,f1859,f2160]) ).
fof(f2160,plain,
( spl154_198
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_198])]) ).
fof(f4161,plain,
( e2 != op(e2,e3)
| ~ spl154_135
| ~ spl154_143
| spl154_298 ),
inference(forward_demodulation,[],[f4160,f1901]) ).
fof(f4160,plain,
( op(e2,e3) != op(e2,unit)
| ~ spl154_135
| spl154_298 ),
inference(forward_demodulation,[],[f2692,f1860]) ).
fof(f8233,plain,
( spl154_129
| ~ spl154_140
| ~ spl154_148
| ~ spl154_199
| ~ spl154_402 ),
inference(avatar_split_clause,[],[f8207,f4400,f2165,f1924,f1884,f1829]) ).
fof(f4400,plain,
( spl154_402
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl154_402])]) ).
fof(f8207,plain,
( e1 = e2
| ~ spl154_140
| ~ spl154_148
| ~ spl154_199
| ~ spl154_402 ),
inference(forward_demodulation,[],[f8206,f1886]) ).
fof(f8206,plain,
( e2 = op(unit,e1)
| ~ spl154_148
| ~ spl154_199
| ~ spl154_402 ),
inference(forward_demodulation,[],[f2167,f4627]) ).
fof(f4627,plain,
( e3 = unit
| ~ spl154_148
| ~ spl154_402 ),
inference(superposition,[],[f4402,f1926]) ).
fof(f4402,plain,
( op(e2,e2) = unit
| ~ spl154_402 ),
inference(avatar_component_clause,[],[f4400]) ).
fof(f8202,plain,
( spl154_160
| ~ spl154_148
| ~ spl154_337 ),
inference(avatar_split_clause,[],[f3023,f3019,f1924,f1979]) ).
fof(f3019,plain,
( spl154_337
<=> e4 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_337])]) ).
fof(f3023,plain,
( e4 = op(e3,e3)
| ~ spl154_148
| ~ spl154_337 ),
inference(forward_demodulation,[],[f3021,f1926]) ).
fof(f3021,plain,
( e4 = op(op(e2,e2),op(e2,e2))
| ~ spl154_337 ),
inference(avatar_component_clause,[],[f3019]) ).
fof(f8186,plain,
( ~ spl154_333
| ~ spl154_147
| spl154_387 ),
inference(avatar_split_clause,[],[f3654,f3642,f1919,f2876]) ).
fof(f3654,plain,
( e4 != unit
| ~ spl154_147
| spl154_387 ),
inference(superposition,[],[f3644,f1921]) ).
fof(f3644,plain,
( unit != op(e4,unit)
| spl154_387 ),
inference(avatar_component_clause,[],[f3642]) ).
fof(f8185,plain,
( ~ spl154_48
| spl154_131
| ~ spl154_141
| ~ spl154_148
| ~ spl154_349
| ~ spl154_402 ),
inference(avatar_split_clause,[],[f7915,f4400,f3079,f1924,f1889,f1839,f1369]) ).
fof(f1369,plain,
( spl154_48
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_48])]) ).
fof(f7915,plain,
( e1 = e4
| ~ sP84
| ~ spl154_141
| ~ spl154_148
| ~ spl154_349
| ~ spl154_402 ),
inference(forward_demodulation,[],[f7914,f1891]) ).
fof(f7914,plain,
( e4 = op(e1,unit)
| ~ sP84
| ~ spl154_148
| ~ spl154_349
| ~ spl154_402 ),
inference(forward_demodulation,[],[f5798,f4627]) ).
fof(f5798,plain,
( e4 = op(e1,e3)
| ~ sP84
| ~ spl154_349 ),
inference(trivial_inequality_removal,[],[f5797]) ).
fof(f5797,plain,
( e3 != e3
| e4 = op(e1,e3)
| ~ sP84
| ~ spl154_349 ),
inference(forward_demodulation,[],[f596,f3080]) ).
fof(f596,plain,
( e4 = op(e1,e3)
| e3 != op(e1,e4)
| ~ sP84 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4)
| ~ sP84 ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4)
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f8160,plain,
( spl154_137
| ~ spl154_346
| ~ spl154_392 ),
inference(avatar_split_clause,[],[f8151,f3679,f3065,f1869]) ).
fof(f8151,plain,
( e1 = unit
| ~ spl154_346
| ~ spl154_392 ),
inference(forward_demodulation,[],[f3067,f3680]) ).
fof(f8110,plain,
( ~ spl154_89
| spl154_129
| ~ spl154_339
| ~ spl154_398 ),
inference(avatar_split_clause,[],[f7780,f3951,f3030,f1829,f1606]) ).
fof(f1606,plain,
( spl154_89
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_89])]) ).
fof(f7780,plain,
( e1 = e2
| ~ sP116
| ~ spl154_339
| ~ spl154_398 ),
inference(trivial_inequality_removal,[],[f7779]) ).
fof(f7779,plain,
( e4 != e4
| e1 = e2
| ~ sP116
| ~ spl154_339
| ~ spl154_398 ),
inference(forward_demodulation,[],[f7695,f3953]) ).
fof(f3953,plain,
( e4 = op(e3,e1)
| ~ spl154_398 ),
inference(avatar_component_clause,[],[f3951]) ).
fof(f7695,plain,
( e1 = e2
| e4 != op(e3,e1)
| ~ sP116
| ~ spl154_339 ),
inference(forward_demodulation,[],[f532,f3031]) ).
fof(f532,plain,
( e1 = op(e3,e4)
| e4 != op(e3,e1)
| ~ sP116 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1)
| ~ sP116 ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1)
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f8109,plain,
( ~ spl154_396
| spl154_133
| ~ spl154_154
| ~ spl154_386 ),
inference(avatar_split_clause,[],[f7678,f3457,f1952,f1849,f3778]) ).
fof(f3778,plain,
( spl154_396
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_396])]) ).
fof(f7678,plain,
( e2 = e4
| ~ sP74
| ~ spl154_154
| ~ spl154_386 ),
inference(forward_demodulation,[],[f7635,f3459]) ).
fof(f7635,plain,
( e4 = op(e4,e2)
| ~ sP74
| ~ spl154_154 ),
inference(trivial_inequality_removal,[],[f2904]) ).
fof(f2904,plain,
( e2 != e2
| e4 = op(e4,e2)
| ~ sP74
| ~ spl154_154 ),
inference(forward_demodulation,[],[f616,f1954]) ).
fof(f616,plain,
( e4 = op(e4,e2)
| e2 != op(e4,e4)
| ~ sP74 ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4)
| ~ sP74 ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4)
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f8066,plain,
( spl154_129
| ~ spl154_154
| ~ spl154_156 ),
inference(avatar_split_clause,[],[f5897,f1961,f1952,f1829]) ).
fof(f5897,plain,
( e1 = e2
| ~ spl154_154
| ~ spl154_156 ),
inference(forward_demodulation,[],[f1954,f1963]) ).
fof(f7950,plain,
( spl154_245
| spl154_156
| spl154_130
| spl154_131
| ~ spl154_135
| ~ spl154_147
| ~ spl154_369
| ~ spl154_416 ),
inference(avatar_split_clause,[],[f7582,f5644,f3183,f1919,f1859,f1839,f1834,f1961,f2412]) ).
fof(f2412,plain,
( spl154_245
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_245])]) ).
fof(f7582,plain,
( e1 = e4
| e1 = e3
| e1 = op(e4,e4)
| e1 = op(e4,e2)
| ~ spl154_135
| ~ spl154_147
| ~ spl154_369
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7581,f1921]) ).
fof(f7581,plain,
( e1 = op(e4,unit)
| e1 = e3
| e1 = op(e4,e4)
| e1 = op(e4,e2)
| ~ spl154_135
| ~ spl154_369
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7580,f1860]) ).
fof(f7580,plain,
( e1 = e3
| e1 = op(e4,e4)
| e1 = op(e4,e2)
| e1 = op(e4,e0)
| ~ spl154_369
| ~ spl154_416 ),
inference(duplicate_literal_removal,[],[f7579]) ).
fof(f7579,plain,
( e1 = e3
| e1 = e3
| e1 = op(e4,e4)
| e1 = op(e4,e2)
| e1 = op(e4,e0)
| ~ spl154_369
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7578,f3185]) ).
fof(f7578,plain,
( e1 = e3
| e1 = op(e4,e4)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| ~ spl154_416 ),
inference(forward_demodulation,[],[f937,f5646]) ).
fof(f7924,plain,
( spl154_133
| spl154_129
| spl154_334
| ~ spl154_135
| ~ spl154_139
| ~ spl154_141
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(avatar_split_clause,[],[f7890,f5644,f4400,f3194,f3019,f1924,f1889,f1879,f1859,f2880,f1829,f1849]) ).
fof(f7890,plain,
( e2 = unit
| e1 = e2
| e2 = e4
| ~ spl154_135
| ~ spl154_139
| ~ spl154_141
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(duplicate_literal_removal,[],[f7889]) ).
fof(f7889,plain,
( e2 = unit
| e1 = e2
| e2 = unit
| e2 = e4
| ~ spl154_135
| ~ spl154_139
| ~ spl154_141
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7888,f1860]) ).
fof(f7888,plain,
( e0 = e2
| e1 = e2
| e2 = unit
| e2 = e4
| ~ spl154_139
| ~ spl154_141
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7887,f1881]) ).
fof(f7887,plain,
( e2 = op(e0,unit)
| e1 = e2
| e2 = unit
| e2 = e4
| ~ spl154_141
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7886,f4627]) ).
fof(f7886,plain,
( e1 = e2
| e2 = unit
| e2 = e4
| e2 = op(e0,e3)
| ~ spl154_141
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(duplicate_literal_removal,[],[f7885]) ).
fof(f7885,plain,
( e1 = e2
| e2 = unit
| e1 = e2
| e2 = e4
| e2 = op(e0,e3)
| ~ spl154_141
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7884,f1891]) ).
fof(f7884,plain,
( e2 = op(e1,unit)
| e2 = unit
| e1 = e2
| e2 = e4
| e2 = op(e0,e3)
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7883,f4627]) ).
fof(f7883,plain,
( e2 = unit
| e1 = e2
| e2 = e4
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_402
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7836,f4627]) ).
fof(f7836,plain,
( e1 = e2
| e2 = e4
| e2 = e3
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl154_148
| ~ spl154_337
| ~ spl154_371
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7835,f3195]) ).
fof(f3195,plain,
( e1 = op(e2,e3)
| ~ spl154_371 ),
inference(avatar_component_clause,[],[f3194]) ).
fof(f7835,plain,
( e2 = e4
| e2 = e3
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl154_148
| ~ spl154_337
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7205,f3023]) ).
fof(f7205,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| ~ spl154_416 ),
inference(forward_demodulation,[],[f930,f5646]) ).
fof(f930,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f7862,plain,
( ~ spl154_399
| spl154_254
| ~ spl154_416 ),
inference(avatar_split_clause,[],[f7558,f5644,f2459,f3959]) ).
fof(f2459,plain,
( spl154_254
<=> op(e1,e3) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_254])]) ).
fof(f7558,plain,
( e3 != op(e1,e3)
| spl154_254
| ~ spl154_416 ),
inference(superposition,[],[f2461,f5646]) ).
fof(f2461,plain,
( op(e1,e3) != op(e4,e3)
| spl154_254 ),
inference(avatar_component_clause,[],[f2459]) ).
fof(f7834,plain,
( spl154_133
| ~ spl154_135
| ~ spl154_146
| ~ spl154_354 ),
inference(avatar_split_clause,[],[f7809,f3103,f1914,f1859,f1849]) ).
fof(f7809,plain,
( e2 = e4
| ~ spl154_135
| ~ spl154_146
| ~ spl154_354 ),
inference(forward_demodulation,[],[f7808,f1916]) ).
fof(f7808,plain,
( e2 = op(unit,e4)
| ~ spl154_135
| ~ spl154_354 ),
inference(forward_demodulation,[],[f3105,f1860]) ).
fof(f7806,plain,
( spl154_333
| ~ spl154_135
| ~ spl154_148
| ~ spl154_168
| ~ spl154_337 ),
inference(avatar_split_clause,[],[f7694,f3019,f2015,f1924,f1859,f2876]) ).
fof(f7694,plain,
( e4 = unit
| ~ spl154_135
| ~ spl154_148
| ~ spl154_168
| ~ spl154_337 ),
inference(forward_demodulation,[],[f3023,f5908]) ).
fof(f5908,plain,
( op(e3,e3) = unit
| ~ spl154_135
| ~ spl154_168 ),
inference(forward_demodulation,[],[f2017,f1860]) ).
fof(f7743,plain,
( spl154_333
| ~ spl154_135
| ~ spl154_340
| ~ spl154_365 ),
inference(avatar_split_clause,[],[f7646,f3163,f3035,f1859,f2876]) ).
fof(f7646,plain,
( e4 = unit
| ~ spl154_135
| ~ spl154_340
| ~ spl154_365 ),
inference(forward_demodulation,[],[f3036,f7606]) ).
fof(f7684,plain,
( spl154_132
| ~ spl154_339
| ~ spl154_343 ),
inference(avatar_split_clause,[],[f5607,f3050,f3030,f1844]) ).
fof(f5607,plain,
( e2 = e3
| ~ spl154_339
| ~ spl154_343 ),
inference(forward_demodulation,[],[f3031,f3052]) ).
fof(f7683,plain,
( ~ spl154_108
| spl154_130
| ~ spl154_369
| ~ spl154_416 ),
inference(avatar_split_clause,[],[f7638,f5644,f3183,f1834,f1716]) ).
fof(f1716,plain,
( spl154_108
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_108])]) ).
fof(f7638,plain,
( e1 = e3
| ~ sP96
| ~ spl154_369
| ~ spl154_416 ),
inference(forward_demodulation,[],[f6072,f5646]) ).
fof(f6072,plain,
( e1 = op(e4,e3)
| ~ sP96
| ~ spl154_369 ),
inference(trivial_inequality_removal,[],[f6071]) ).
fof(f6071,plain,
( e3 != e3
| e1 = op(e4,e3)
| ~ sP96
| ~ spl154_369 ),
inference(forward_demodulation,[],[f572,f3185]) ).
fof(f572,plain,
( e1 = op(e4,e3)
| e3 != op(e4,e1)
| ~ sP96 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1)
| ~ sP96 ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1)
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f7634,plain,
( spl154_133
| ~ spl154_135
| ~ spl154_147
| ~ spl154_364 ),
inference(avatar_split_clause,[],[f6299,f3159,f1919,f1859,f1849]) ).
fof(f6299,plain,
( e2 = e4
| ~ spl154_135
| ~ spl154_147
| ~ spl154_364 ),
inference(forward_demodulation,[],[f6298,f1921]) ).
fof(f6298,plain,
( e2 = op(e4,unit)
| ~ spl154_135
| ~ spl154_364 ),
inference(forward_demodulation,[],[f3160,f1860]) ).
fof(f7632,plain,
( spl154_371
| spl154_131
| spl154_130
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_399
| ~ spl154_416 ),
inference(avatar_split_clause,[],[f7605,f5644,f3959,f1979,f1904,f1859,f1834,f1839,f3194]) ).
fof(f7605,plain,
( e1 = e3
| e1 = e4
| e1 = op(e2,e3)
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_399
| ~ spl154_416 ),
inference(duplicate_literal_removal,[],[f7604]) ).
fof(f7604,plain,
( e1 = e3
| e1 = e3
| e1 = e4
| e1 = op(e2,e3)
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_399
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7603,f1906]) ).
fof(f7603,plain,
( e1 = op(unit,e3)
| e1 = e3
| e1 = e4
| e1 = op(e2,e3)
| ~ spl154_135
| ~ spl154_160
| ~ spl154_399
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7602,f1860]) ).
fof(f7602,plain,
( e1 = e3
| e1 = e4
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_399
| ~ spl154_416 ),
inference(duplicate_literal_removal,[],[f7601]) ).
fof(f7601,plain,
( e1 = e3
| e1 = e3
| e1 = e4
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_399
| ~ spl154_416 ),
inference(forward_demodulation,[],[f7600,f3961]) ).
fof(f7600,plain,
( e1 = e3
| e1 = e4
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_416 ),
inference(forward_demodulation,[],[f3758,f5646]) ).
fof(f7569,plain,
( spl154_129
| ~ spl154_135
| ~ spl154_141
| ~ spl154_366 ),
inference(avatar_split_clause,[],[f7153,f3168,f1889,f1859,f1829]) ).
fof(f7153,plain,
( e1 = e2
| ~ spl154_135
| ~ spl154_141
| ~ spl154_366 ),
inference(forward_demodulation,[],[f7152,f1891]) ).
fof(f7152,plain,
( e2 = op(e1,unit)
| ~ spl154_135
| ~ spl154_366 ),
inference(forward_demodulation,[],[f3169,f1860]) ).
fof(f7436,plain,
( ~ spl154_135
| ~ spl154_141
| spl154_309
| ~ spl154_349
| ~ spl154_366
| ~ spl154_395 ),
inference(avatar_contradiction_clause,[],[f7435]) ).
fof(f7435,plain,
( $false
| ~ spl154_135
| ~ spl154_141
| spl154_309
| ~ spl154_349
| ~ spl154_366
| ~ spl154_395 ),
inference(trivial_inequality_removal,[],[f7434]) ).
fof(f7434,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl154_135
| ~ spl154_141
| spl154_309
| ~ spl154_349
| ~ spl154_366
| ~ spl154_395 ),
inference(forward_demodulation,[],[f2753,f7384]) ).
fof(f7384,plain,
( e3 = e4
| ~ spl154_135
| ~ spl154_141
| ~ spl154_349
| ~ spl154_366
| ~ spl154_395 ),
inference(forward_demodulation,[],[f7383,f3080]) ).
fof(f7383,plain,
( e4 = op(e1,e4)
| ~ spl154_135
| ~ spl154_141
| ~ spl154_366
| ~ spl154_395 ),
inference(forward_demodulation,[],[f3696,f7153]) ).
fof(f3696,plain,
( e4 = op(e2,e4)
| ~ spl154_395 ),
inference(avatar_component_clause,[],[f3694]) ).
fof(f3694,plain,
( spl154_395
<=> e4 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_395])]) ).
fof(f2753,plain,
( op(e2,e3) != op(e2,e4)
| spl154_309 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f2751,plain,
( spl154_309
<=> op(e2,e3) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_309])]) ).
fof(f7234,plain,
( ~ spl154_135
| ~ spl154_141
| spl154_309
| ~ spl154_340
| ~ spl154_366
| ~ spl154_369 ),
inference(avatar_contradiction_clause,[],[f7233]) ).
fof(f7233,plain,
( $false
| ~ spl154_135
| ~ spl154_141
| spl154_309
| ~ spl154_340
| ~ spl154_366
| ~ spl154_369 ),
inference(trivial_inequality_removal,[],[f7232]) ).
fof(f7232,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl154_135
| ~ spl154_141
| spl154_309
| ~ spl154_340
| ~ spl154_366
| ~ spl154_369 ),
inference(forward_demodulation,[],[f2753,f7217]) ).
fof(f7217,plain,
( e3 = e4
| ~ spl154_135
| ~ spl154_141
| ~ spl154_340
| ~ spl154_366
| ~ spl154_369 ),
inference(forward_demodulation,[],[f7216,f3185]) ).
fof(f7216,plain,
( e4 = op(e4,e1)
| ~ spl154_135
| ~ spl154_141
| ~ spl154_340
| ~ spl154_366 ),
inference(forward_demodulation,[],[f3036,f7153]) ).
fof(f7159,plain,
( spl154_132
| ~ spl154_145
| ~ spl154_147
| ~ spl154_339
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6516,f3642,f3030,f1919,f1909,f1844]) ).
fof(f6516,plain,
( e2 = e3
| ~ spl154_145
| ~ spl154_147
| ~ spl154_339
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6515,f1911]) ).
fof(f6515,plain,
( e2 = op(e3,unit)
| ~ spl154_147
| ~ spl154_339
| ~ spl154_387 ),
inference(forward_demodulation,[],[f3031,f5402]) ).
fof(f7084,plain,
( spl154_132
| ~ spl154_135
| ~ spl154_145
| ~ spl154_338 ),
inference(avatar_split_clause,[],[f6946,f3025,f1909,f1859,f1844]) ).
fof(f6946,plain,
( e2 = e3
| ~ spl154_135
| ~ spl154_145
| ~ spl154_338 ),
inference(forward_demodulation,[],[f6945,f1911]) ).
fof(f6945,plain,
( e2 = op(e3,unit)
| ~ spl154_135
| ~ spl154_338 ),
inference(forward_demodulation,[],[f3026,f1860]) ).
fof(f7081,plain,
( ~ spl154_144
| ~ spl154_147
| ~ spl154_387
| spl154_416 ),
inference(avatar_split_clause,[],[f7050,f5644,f3642,f1919,f1904]) ).
fof(f7050,plain,
( e3 != op(unit,e3)
| ~ spl154_147
| ~ spl154_387
| spl154_416 ),
inference(forward_demodulation,[],[f5645,f5402]) ).
fof(f5645,plain,
( e3 != op(e4,e3)
| spl154_416 ),
inference(avatar_component_clause,[],[f5644]) ).
fof(f7080,plain,
( ~ spl154_24
| ~ spl154_135
| ~ spl154_139
| ~ spl154_145
| ~ spl154_147
| ~ spl154_168
| ~ spl154_198
| ~ spl154_338
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f7062,f3642,f3025,f2160,f2015,f1919,f1909,f1879,f1859,f1230]) ).
fof(f7062,plain,
( ~ sP103
| ~ spl154_135
| ~ spl154_139
| ~ spl154_145
| ~ spl154_147
| ~ spl154_168
| ~ spl154_198
| ~ spl154_338
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f7061]) ).
fof(f7061,plain,
( unit != unit
| ~ sP103
| ~ spl154_135
| ~ spl154_139
| ~ spl154_145
| ~ spl154_147
| ~ spl154_168
| ~ spl154_198
| ~ spl154_338
| ~ spl154_387 ),
inference(forward_demodulation,[],[f7060,f1860]) ).
fof(f7060,plain,
( e0 != unit
| ~ sP103
| ~ spl154_135
| ~ spl154_139
| ~ spl154_145
| ~ spl154_147
| ~ spl154_168
| ~ spl154_198
| ~ spl154_338
| ~ spl154_387 ),
inference(forward_demodulation,[],[f7059,f1881]) ).
fof(f7059,plain,
( unit != op(e0,unit)
| ~ sP103
| ~ spl154_135
| ~ spl154_145
| ~ spl154_147
| ~ spl154_168
| ~ spl154_198
| ~ spl154_338
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6625,f7056]) ).
fof(f7056,plain,
( e3 = unit
| ~ spl154_135
| ~ spl154_145
| ~ spl154_168
| ~ spl154_198
| ~ spl154_338 ),
inference(forward_demodulation,[],[f7055,f5908]) ).
fof(f7055,plain,
( e3 = op(e3,e3)
| ~ spl154_135
| ~ spl154_145
| ~ spl154_198
| ~ spl154_338 ),
inference(forward_demodulation,[],[f2162,f6946]) ).
fof(f2162,plain,
( e2 = op(e2,e3)
| ~ spl154_198 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f6948,plain,
( spl154_129
| ~ spl154_140
| ~ spl154_145
| ~ spl154_147
| ~ spl154_333
| ~ spl154_339
| ~ spl154_369
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6517,f3642,f3183,f3030,f2876,f1919,f1909,f1884,f1829]) ).
fof(f6517,plain,
( e1 = e2
| ~ spl154_140
| ~ spl154_145
| ~ spl154_147
| ~ spl154_333
| ~ spl154_339
| ~ spl154_369
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6516,f6384]) ).
fof(f6837,plain,
( spl154_334
| ~ spl154_135
| ~ spl154_147
| ~ spl154_364
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6525,f3642,f3159,f1919,f1859,f2880]) ).
fof(f6525,plain,
( e2 = unit
| ~ spl154_135
| ~ spl154_147
| ~ spl154_364
| ~ spl154_387 ),
inference(forward_demodulation,[],[f5980,f5402]) ).
fof(f5980,plain,
( e2 = e4
| ~ spl154_135
| ~ spl154_147
| ~ spl154_364 ),
inference(forward_demodulation,[],[f5979,f1921]) ).
fof(f5979,plain,
( e2 = op(e4,unit)
| ~ spl154_135
| ~ spl154_364 ),
inference(forward_demodulation,[],[f3160,f1860]) ).
fof(f6836,plain,
( ~ spl154_36
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6613,f3642,f1919,f1859,f1296]) ).
fof(f1296,plain,
( spl154_36
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_36])]) ).
fof(f6613,plain,
( ~ sP4
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6612]) ).
fof(f6612,plain,
( unit != unit
| ~ sP4
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6611,f1860]) ).
fof(f6611,plain,
( e0 != unit
| ~ sP4
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6610]) ).
fof(f6610,plain,
( unit != unit
| e0 != unit
| ~ sP4
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f1324,f5402]) ).
fof(f1324,plain,
( e4 != unit
| e0 != unit
| ~ sP4 ),
inference(forward_demodulation,[],[f1090,f788]) ).
fof(f788,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1090,plain,
( e0 != unit
| unit != op(unit,e4)
| ~ sP4 ),
inference(inner_rewriting,[],[f757]) ).
fof(f757,plain,
( e0 != unit
| e0 != op(e0,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4)
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4)
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f6835,plain,
( ~ spl154_116
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6609,f3642,f1919,f1859,f1760]) ).
fof(f1760,plain,
( spl154_116
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_116])]) ).
fof(f6609,plain,
( ~ sP20
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6608]) ).
fof(f6608,plain,
( unit != unit
| ~ sP20
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6607,f1860]) ).
fof(f6607,plain,
( e0 != unit
| ~ sP20
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6606]) ).
fof(f6606,plain,
( unit != unit
| e0 != unit
| ~ sP20
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f1785,f5402]) ).
fof(f1785,plain,
( e4 != unit
| e0 != unit
| ~ sP20 ),
inference(forward_demodulation,[],[f1074,f789]) ).
fof(f789,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1074,plain,
( e0 != unit
| unit != op(e4,unit)
| ~ sP20 ),
inference(inner_rewriting,[],[f725]) ).
fof(f725,plain,
( e0 != unit
| e0 != op(e4,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0)
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0)
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f6834,plain,
( ~ spl154_109
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6605,f3642,f1919,f1859,f1722]) ).
fof(f1722,plain,
( spl154_109
<=> sP120 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_109])]) ).
fof(f6605,plain,
( ~ sP120
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(trivial_inequality_removal,[],[f6604]) ).
fof(f6604,plain,
( unit != unit
| ~ sP120
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f6603,f5402]) ).
fof(f6603,plain,
( e4 != unit
| ~ sP120
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f6602]) ).
fof(f6602,plain,
( unit != unit
| e4 != unit
| ~ sP120
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1748,f1860]) ).
fof(f1748,plain,
( e0 != unit
| e4 != unit
| ~ sP120 ),
inference(forward_demodulation,[],[f974,f780]) ).
fof(f780,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f974,plain,
( e4 != unit
| unit != op(unit,e0)
| ~ sP120 ),
inference(inner_rewriting,[],[f525]) ).
fof(f525,plain,
( e4 != unit
| e4 != op(e4,e0)
| ~ sP120 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0)
| ~ sP120 ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0)
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f6833,plain,
( ~ spl154_39
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6601,f3642,f1919,f1859,f1313]) ).
fof(f6832,plain,
( ~ spl154_29
| ~ spl154_135
| ~ spl154_147
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6597,f3642,f1919,f1859,f1257]) ).
fof(f6764,plain,
( ~ spl154_15
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_156
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f6593,f3642,f1961,f1919,f1879,f1859,f1184]) ).
fof(f6574,plain,
( spl154_137
| ~ spl154_140
| ~ spl154_142
| ~ spl154_145
| ~ spl154_147
| ~ spl154_333
| ~ spl154_339
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f6518,f4383,f3642,f3183,f3030,f2876,f1919,f1909,f1894,f1884,f1869]) ).
fof(f6518,plain,
( e1 = unit
| ~ spl154_140
| ~ spl154_142
| ~ spl154_145
| ~ spl154_147
| ~ spl154_333
| ~ spl154_339
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400 ),
inference(forward_demodulation,[],[f6517,f5352]) ).
fof(f6573,plain,
( ~ spl154_19
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_333
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f6346,f4383,f2876,f1894,f1879,f1859,f1204]) ).
fof(f1204,plain,
( spl154_19
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_19])]) ).
fof(f6346,plain,
( ~ sP102
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_333
| ~ spl154_400 ),
inference(trivial_inequality_removal,[],[f6345]) ).
fof(f6345,plain,
( unit != unit
| ~ sP102
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_333
| ~ spl154_400 ),
inference(forward_demodulation,[],[f6344,f1860]) ).
fof(f6344,plain,
( e0 != unit
| ~ sP102
| ~ spl154_139
| ~ spl154_142
| ~ spl154_333
| ~ spl154_400 ),
inference(forward_demodulation,[],[f6343,f1881]) ).
fof(f6343,plain,
( unit != op(e0,unit)
| ~ sP102
| ~ spl154_142
| ~ spl154_333
| ~ spl154_400 ),
inference(forward_demodulation,[],[f4659,f5352]) ).
fof(f4659,plain,
( op(e0,e2) != unit
| ~ sP102
| ~ spl154_333 ),
inference(trivial_inequality_removal,[],[f4658]) ).
fof(f4658,plain,
( unit != unit
| op(e0,e2) != unit
| ~ sP102
| ~ spl154_333 ),
inference(forward_demodulation,[],[f992,f2877]) ).
fof(f992,plain,
( e4 != unit
| op(e0,e2) != unit
| ~ sP102 ),
inference(inner_rewriting,[],[f561]) ).
fof(f561,plain,
( e4 != unit
| e4 != op(e0,e2)
| ~ sP102 ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2)
| ~ sP102 ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2)
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f6572,plain,
( ~ spl154_14
| ~ spl154_135
| ~ spl154_139
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f4861,f2876,f1879,f1859,f1179]) ).
fof(f4861,plain,
( ~ sP100
| ~ spl154_135
| ~ spl154_139
| ~ spl154_333 ),
inference(trivial_inequality_removal,[],[f4860]) ).
fof(f4860,plain,
( unit != unit
| ~ sP100
| ~ spl154_135
| ~ spl154_139
| ~ spl154_333 ),
inference(forward_demodulation,[],[f4657,f3350]) ).
fof(f4657,plain,
( unit != op(unit,unit)
| ~ sP100
| ~ spl154_135
| ~ spl154_333 ),
inference(forward_demodulation,[],[f4656,f1860]) ).
fof(f4656,plain,
( op(e0,e0) != unit
| ~ sP100
| ~ spl154_333 ),
inference(trivial_inequality_removal,[],[f4655]) ).
fof(f4655,plain,
( unit != unit
| op(e0,e0) != unit
| ~ sP100
| ~ spl154_333 ),
inference(forward_demodulation,[],[f994,f2877]) ).
fof(f6481,plain,
( ~ spl154_333
| ~ spl154_142
| ~ spl154_154
| spl154_335
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f5944,f4383,f2885,f1952,f1894,f2876]) ).
fof(f5944,plain,
( e4 != unit
| ~ spl154_142
| ~ spl154_154
| spl154_335
| ~ spl154_400 ),
inference(forward_demodulation,[],[f2886,f5938]) ).
fof(f5938,plain,
( op(e4,e4) = unit
| ~ spl154_142
| ~ spl154_154
| ~ spl154_400 ),
inference(forward_demodulation,[],[f1954,f5352]) ).
fof(f6166,plain,
( spl154_134
| ~ spl154_341
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f5494,f3183,f3040,f1854]) ).
fof(f3040,plain,
( spl154_341
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_341])]) ).
fof(f5494,plain,
( e3 = e4
| ~ spl154_341
| ~ spl154_369 ),
inference(forward_demodulation,[],[f3041,f3185]) ).
fof(f3041,plain,
( e4 = op(e4,e1)
| ~ spl154_341 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f6048,plain,
( spl154_131
| ~ spl154_140
| ~ spl154_142
| ~ spl154_345
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f6024,f4383,f3061,f1894,f1884,f1839]) ).
fof(f6024,plain,
( e1 = e4
| ~ spl154_140
| ~ spl154_142
| ~ spl154_345
| ~ spl154_400 ),
inference(forward_demodulation,[],[f6023,f1886]) ).
fof(f6023,plain,
( e4 = op(unit,e1)
| ~ spl154_142
| ~ spl154_345
| ~ spl154_400 ),
inference(forward_demodulation,[],[f3062,f5352]) ).
fof(f5982,plain,
( spl154_333
| ~ spl154_135
| ~ spl154_142
| ~ spl154_147
| ~ spl154_364
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f5981,f4383,f3159,f1919,f1894,f1859,f2876]) ).
fof(f5981,plain,
( e4 = unit
| ~ spl154_135
| ~ spl154_142
| ~ spl154_147
| ~ spl154_364
| ~ spl154_400 ),
inference(forward_demodulation,[],[f5980,f5352]) ).
fof(f5956,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_141
| ~ spl154_142
| ~ spl154_366
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f5922,f4383,f3168,f1894,f1889,f1859,f1869]) ).
fof(f5922,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_141
| ~ spl154_142
| ~ spl154_366
| ~ spl154_400 ),
inference(forward_demodulation,[],[f5921,f5352]) ).
fof(f5921,plain,
( e1 = e2
| ~ spl154_135
| ~ spl154_141
| ~ spl154_366 ),
inference(forward_demodulation,[],[f5920,f1891]) ).
fof(f5920,plain,
( e2 = op(e1,unit)
| ~ spl154_135
| ~ spl154_366 ),
inference(forward_demodulation,[],[f3169,f1860]) ).
fof(f5926,plain,
( ~ spl154_120
| spl154_131
| ~ spl154_156
| ~ spl154_408 ),
inference(avatar_split_clause,[],[f5732,f4851,f1961,f1839,f1781]) ).
fof(f5732,plain,
( e1 = e4
| ~ sP49
| ~ spl154_156
| ~ spl154_408 ),
inference(trivial_inequality_removal,[],[f5731]) ).
fof(f5731,plain,
( e1 != e1
| e1 = e4
| ~ sP49
| ~ spl154_156
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5531,f1963]) ).
fof(f5531,plain,
( e1 = e4
| e1 != op(e4,e4)
| ~ sP49
| ~ spl154_408 ),
inference(forward_demodulation,[],[f666,f4853]) ).
fof(f5899,plain,
( spl154_136
| ~ spl154_135
| ~ spl154_142
| ~ spl154_145
| ~ spl154_338
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f5828,f4383,f3025,f1909,f1894,f1859,f1864]) ).
fof(f5828,plain,
( e3 = unit
| ~ spl154_135
| ~ spl154_142
| ~ spl154_145
| ~ spl154_338
| ~ spl154_400 ),
inference(forward_demodulation,[],[f5827,f5352]) ).
fof(f5827,plain,
( e2 = e3
| ~ spl154_135
| ~ spl154_145
| ~ spl154_338 ),
inference(forward_demodulation,[],[f5826,f1911]) ).
fof(f5826,plain,
( e2 = op(e3,unit)
| ~ spl154_135
| ~ spl154_338 ),
inference(forward_demodulation,[],[f3026,f1860]) ).
fof(f5715,plain,
( spl154_136
| ~ spl154_142
| ~ spl154_339
| ~ spl154_343
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f5608,f4383,f3050,f3030,f1894,f1864]) ).
fof(f5608,plain,
( e3 = unit
| ~ spl154_142
| ~ spl154_339
| ~ spl154_343
| ~ spl154_400 ),
inference(forward_demodulation,[],[f5607,f5352]) ).
fof(f5691,plain,
( spl154_387
| ~ spl154_142
| ~ spl154_339
| ~ spl154_343
| ~ spl154_400
| ~ spl154_416 ),
inference(avatar_split_clause,[],[f5648,f5644,f4383,f3050,f3030,f1894,f3642]) ).
fof(f5648,plain,
( unit = op(e4,unit)
| ~ spl154_142
| ~ spl154_339
| ~ spl154_343
| ~ spl154_400
| ~ spl154_416 ),
inference(forward_demodulation,[],[f5646,f5608]) ).
fof(f5651,plain,
( spl154_131
| ~ spl154_341
| ~ spl154_408 ),
inference(avatar_split_clause,[],[f5594,f4851,f3040,f1839]) ).
fof(f5594,plain,
( e1 = e4
| ~ spl154_341
| ~ spl154_408 ),
inference(forward_demodulation,[],[f3041,f4853]) ).
fof(f5647,plain,
( spl154_416
| spl154_130
| spl154_134
| ~ spl154_135
| ~ spl154_142
| ~ spl154_147
| ~ spl154_335
| ~ spl154_400
| ~ spl154_408 ),
inference(avatar_split_clause,[],[f5551,f4851,f4383,f2885,f1919,f1894,f1859,f1854,f1834,f5644]) ).
fof(f5551,plain,
( e3 = e4
| e1 = e3
| e3 = op(e4,e3)
| ~ spl154_135
| ~ spl154_142
| ~ spl154_147
| ~ spl154_335
| ~ spl154_400
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5550]) ).
fof(f5550,plain,
( e3 = e4
| e1 = e3
| e3 = e4
| e3 = op(e4,e3)
| ~ spl154_135
| ~ spl154_142
| ~ spl154_147
| ~ spl154_335
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5549,f1921]) ).
fof(f5549,plain,
( e3 = op(e4,unit)
| e1 = e3
| e3 = e4
| e3 = op(e4,e3)
| ~ spl154_135
| ~ spl154_142
| ~ spl154_147
| ~ spl154_335
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5548,f1860]) ).
fof(f5548,plain,
( e1 = e3
| e3 = e4
| e3 = op(e4,e3)
| e3 = op(e4,e0)
| ~ spl154_142
| ~ spl154_147
| ~ spl154_335
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5547,f4853]) ).
fof(f5547,plain,
( e3 = e4
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0)
| ~ spl154_142
| ~ spl154_147
| ~ spl154_335
| ~ spl154_400 ),
inference(duplicate_literal_removal,[],[f5546]) ).
fof(f5546,plain,
( e3 = e4
| e3 = e4
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0)
| ~ spl154_142
| ~ spl154_147
| ~ spl154_335
| ~ spl154_400 ),
inference(forward_demodulation,[],[f5545,f1921]) ).
fof(f5545,plain,
( e3 = op(e4,unit)
| e3 = e4
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0)
| ~ spl154_142
| ~ spl154_335
| ~ spl154_400 ),
inference(forward_demodulation,[],[f5544,f5352]) ).
fof(f5544,plain,
( e3 = e4
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0)
| ~ spl154_335 ),
inference(forward_demodulation,[],[f941,f2887]) ).
fof(f941,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f5529,plain,
( spl154_131
| ~ spl154_341
| ~ spl154_369
| ~ spl154_408 ),
inference(avatar_split_clause,[],[f5497,f4851,f3183,f3040,f1839]) ).
fof(f5497,plain,
( e1 = e4
| ~ spl154_341
| ~ spl154_369
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5494,f5358]) ).
fof(f5496,plain,
( spl154_136
| ~ spl154_147
| ~ spl154_341
| ~ spl154_369
| ~ spl154_387 ),
inference(avatar_split_clause,[],[f5493,f3642,f3183,f3040,f1919,f1864]) ).
fof(f5493,plain,
( e3 = unit
| ~ spl154_147
| ~ spl154_341
| ~ spl154_369
| ~ spl154_387 ),
inference(forward_demodulation,[],[f4682,f5402]) ).
fof(f4682,plain,
( e3 = e4
| ~ spl154_341
| ~ spl154_369 ),
inference(forward_demodulation,[],[f3041,f3185]) ).
fof(f5475,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(avatar_split_clause,[],[f5461,f4851,f4383,f3642,f3183,f3061,f1919,f1899,f1894,f1879,f1859,f1869]) ).
fof(f5461,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5460]) ).
fof(f5460,plain,
( e1 = unit
| e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5459,f3350]) ).
fof(f5459,plain,
( e1 = op(unit,unit)
| e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5458,f5352]) ).
fof(f5458,plain,
( e1 = op(e2,unit)
| e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5457,f1860]) ).
fof(f5457,plain,
( e1 = unit
| e1 = op(e2,e0)
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5456]) ).
fof(f5456,plain,
( e1 = unit
| e1 = unit
| e1 = op(e2,e0)
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5455,f3350]) ).
fof(f5455,plain,
( e1 = op(unit,unit)
| e1 = unit
| e1 = op(e2,e0)
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5454,f5352]) ).
fof(f5454,plain,
( e1 = unit
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5453]) ).
fof(f5453,plain,
( e1 = unit
| e1 = unit
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5452,f5402]) ).
fof(f5452,plain,
( e1 = e4
| e1 = unit
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5451,f3062]) ).
fof(f5451,plain,
( e1 = op(e2,e1)
| e1 = unit
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5450]) ).
fof(f5450,plain,
( e1 = op(e2,e1)
| e1 = unit
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_369
| ~ spl154_387
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5449,f5358]) ).
fof(f5449,plain,
( e1 = unit
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl154_142
| ~ spl154_143
| ~ spl154_147
| ~ spl154_387
| ~ spl154_400 ),
inference(forward_demodulation,[],[f5448,f5352]) ).
fof(f5448,plain,
( e1 = e2
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl154_143
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f5447,f1901]) ).
fof(f5447,plain,
( e1 = op(e2,unit)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl154_147
| ~ spl154_387 ),
inference(forward_demodulation,[],[f917,f5402]) ).
fof(f917,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f5445,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(avatar_split_clause,[],[f5442,f4851,f4383,f3694,f3642,f3183,f3061,f1919,f1894,f1879,f1859,f1869]) ).
fof(f5442,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5441]) ).
fof(f5441,plain,
( e1 = unit
| e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_147
| ~ spl154_345
| ~ spl154_369
| ~ spl154_387
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5400,f5402]) ).
fof(f5400,plain,
( e1 = unit
| e1 = e4
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_345
| ~ spl154_369
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5399]) ).
fof(f5399,plain,
( e1 = unit
| e1 = unit
| e1 = e4
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_345
| ~ spl154_369
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5398,f3350]) ).
fof(f5398,plain,
( e1 = op(unit,unit)
| e1 = unit
| e1 = e4
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_345
| ~ spl154_369
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5397,f5352]) ).
fof(f5397,plain,
( e1 = op(e2,unit)
| e1 = unit
| e1 = e4
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_345
| ~ spl154_369
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5396,f1860]) ).
fof(f5396,plain,
( e1 = unit
| e1 = e4
| e1 = op(e2,e0)
| ~ spl154_135
| ~ spl154_139
| ~ spl154_142
| ~ spl154_345
| ~ spl154_369
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5395,f3350]) ).
fof(f5395,plain,
( e1 = op(unit,unit)
| e1 = e4
| e1 = op(e2,e0)
| ~ spl154_142
| ~ spl154_345
| ~ spl154_369
| ~ spl154_395
| ~ spl154_400
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5394,f5352]) ).
fof(f5394,plain,
( e1 = e4
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl154_345
| ~ spl154_369
| ~ spl154_395
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5393]) ).
fof(f5393,plain,
( e1 = e4
| e1 = e4
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl154_345
| ~ spl154_369
| ~ spl154_395
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5392,f3062]) ).
fof(f5392,plain,
( e1 = op(e2,e1)
| e1 = e4
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| ~ spl154_369
| ~ spl154_395
| ~ spl154_408 ),
inference(duplicate_literal_removal,[],[f5391]) ).
fof(f5391,plain,
( e1 = op(e2,e1)
| e1 = e4
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl154_369
| ~ spl154_395
| ~ spl154_408 ),
inference(forward_demodulation,[],[f5390,f5358]) ).
fof(f5390,plain,
( e1 = e4
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0)
| ~ spl154_395 ),
inference(forward_demodulation,[],[f917,f3696]) ).
fof(f5440,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_139
| ~ spl154_187 ),
inference(avatar_split_clause,[],[f5437,f2109,f1879,f1859,f1869]) ).
fof(f5437,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_187 ),
inference(forward_demodulation,[],[f5436,f3350]) ).
fof(f5436,plain,
( e1 = op(unit,unit)
| ~ spl154_135
| ~ spl154_187 ),
inference(forward_demodulation,[],[f2111,f1860]) ).
fof(f5438,plain,
( ~ spl154_186
| ~ spl154_135
| ~ spl154_141 ),
inference(avatar_split_clause,[],[f5431,f1889,f1859,f2105]) ).
fof(f2105,plain,
( spl154_186
<=> sP135 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_186])]) ).
fof(f5431,plain,
( ~ sP135
| ~ spl154_135
| ~ spl154_141 ),
inference(trivial_inequality_removal,[],[f5430]) ).
fof(f5430,plain,
( e1 != e1
| ~ sP135
| ~ spl154_135
| ~ spl154_141 ),
inference(forward_demodulation,[],[f5429,f1891]) ).
fof(f5429,plain,
( e1 != op(e1,unit)
| ~ sP135
| ~ spl154_135 ),
inference(forward_demodulation,[],[f375,f1860]) ).
fof(f375,plain,
( e1 != op(e1,e0)
| ~ sP135 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP135 ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f5428,plain,
( spl154_195
| spl154_194
| spl154_192
| spl154_190
| spl154_188
| spl154_186
| spl154_184
| spl154_182
| spl154_180
| spl154_178
| spl154_176
| spl154_174
| spl154_172
| spl154_171
| spl154_169
| spl154_167
| spl154_165
| spl154_163
| spl154_161
| spl154_159
| spl154_157
| spl154_155
| spl154_153
| spl154_151
| ~ spl154_335 ),
inference(avatar_split_clause,[],[f5289,f2885,f1939,f1948,f1957,f1966,f1975,f1984,f1993,f2002,f2011,f2020,f2030,f2035,f2045,f2055,f2065,f2075,f2085,f2095,f2105,f2114,f2123,f2132,f2141,f2146]) ).
fof(f2141,plain,
( spl154_194
<=> sP131 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_194])]) ).
fof(f2095,plain,
( spl154_184
<=> sP136 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_184])]) ).
fof(f2085,plain,
( spl154_182
<=> sP137 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_182])]) ).
fof(f2075,plain,
( spl154_180
<=> sP138 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_180])]) ).
fof(f2035,plain,
( spl154_172
<=> sP142 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_172])]) ).
fof(f2030,plain,
( spl154_171
<=> sP143 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_171])]) ).
fof(f2020,plain,
( spl154_169
<=> sP144 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_169])]) ).
fof(f2011,plain,
( spl154_167
<=> sP145 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_167])]) ).
fof(f2002,plain,
( spl154_165
<=> sP146 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_165])]) ).
fof(f1993,plain,
( spl154_163
<=> sP147 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_163])]) ).
fof(f1984,plain,
( spl154_161
<=> sP148 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_161])]) ).
fof(f1966,plain,
( spl154_157
<=> sP150 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_157])]) ).
fof(f1957,plain,
( spl154_155
<=> sP151 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_155])]) ).
fof(f1948,plain,
( spl154_153
<=> sP152 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_153])]) ).
fof(f1939,plain,
( spl154_151
<=> sP153 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_151])]) ).
fof(f5289,plain,
( sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| ~ spl154_335 ),
inference(trivial_inequality_removal,[],[f5288]) ).
fof(f5288,plain,
( e4 != e4
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| ~ spl154_335 ),
inference(forward_demodulation,[],[f769,f2887]) ).
fof(f769,plain,
( e4 != op(e4,e4)
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130 )
& ( sP129
| sP128
| sP127
| sP126
| sP125 ) ),
inference(definition_folding,[],[f9,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1)
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2)
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3)
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f15,plain,
( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0)
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1)
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2)
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3)
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4)
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0)
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1)
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2)
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3)
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4)
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0)
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1)
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2)
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3)
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f31,plain,
( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1)
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2)
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3)
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4)
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f36,plain,
( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1)
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2)
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f39,plain,
( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4)
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0)
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1)
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2)
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f44,plain,
( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4)
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f45,plain,
( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0)
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f46,plain,
( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1)
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f47,plain,
( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2)
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f48,plain,
( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3)
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f50,plain,
( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0)
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f51,plain,
( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1)
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f52,plain,
( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2)
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3)
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f54,plain,
( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4)
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f55,plain,
( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0)
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f56,plain,
( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1)
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f57,plain,
( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2)
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f58,plain,
( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3)
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f60,plain,
( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f61,plain,
( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1)
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f62,plain,
( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2)
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f64,plain,
( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4)
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f65,plain,
( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0)
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f66,plain,
( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1)
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f67,plain,
( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2)
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f70,plain,
( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0)
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f71,plain,
( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1)
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f72,plain,
( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2)
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f73,plain,
( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3)
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f74,plain,
( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4)
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f75,plain,
( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0)
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f77,plain,
( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2)
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f78,plain,
( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3)
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f79,plain,
( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4)
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f80,plain,
( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0)
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f81,plain,
( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1)
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f82,plain,
( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2)
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f86,plain,
( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1)
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f87,plain,
( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2)
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f88,plain,
( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3)
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f90,plain,
( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0)
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f91,plain,
( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1)
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f92,plain,
( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2)
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f93,plain,
( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3)
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f95,plain,
( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0)
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f96,plain,
( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1)
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f97,plain,
( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2)
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f98,plain,
( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3)
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f99,plain,
( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4)
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f100,plain,
( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0)
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f101,plain,
( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1)
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f102,plain,
( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2)
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f103,plain,
( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3)
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f104,plain,
( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4)
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f105,plain,
( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0)
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f107,plain,
( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2)
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f108,plain,
( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3)
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f109,plain,
( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4)
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f115,plain,
( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0)
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f117,plain,
( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2)
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f118,plain,
( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3)
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f119,plain,
( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4)
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f120,plain,
( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0)
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f121,plain,
( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1)
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f122,plain,
( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2)
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f124,plain,
( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4)
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f127,plain,
( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2)
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f129,plain,
( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4)
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f131,plain,
( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1)
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f132,plain,
( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2)
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f133,plain,
( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3)
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f135,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f136,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f137,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f138,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f139,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f141,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f146,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f147,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f148,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f152,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f153,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f154,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP144 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP144])]) ).
fof(f155,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP145 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP145])]) ).
fof(f156,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP146 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP146])]) ).
fof(f157,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP147 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP147])]) ).
fof(f158,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP148 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP148])]) ).
fof(f160,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP150 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP150])]) ).
fof(f161,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP151 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP151])]) ).
fof(f162,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP152 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP152])]) ).
fof(f163,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP153 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP153])]) ).
fof(f9,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( ( ( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) ) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( ( ( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) ) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( ( ( ( e4 != unit
& e4 = op(e4,e4) )
| e4 != op(e4,e4) )
& ( ( e4 != unit
& e3 = op(e4,e4) )
| e4 != op(e4,e3) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e4 != unit
& e2 = op(e3,e4) )
| e4 != op(e3,e2) )
& ( ( e4 != unit
& e1 = op(e3,e4) )
| e4 != op(e3,e1) )
& ( ( e4 != unit
& e0 = op(e3,e4) )
| e4 != op(e3,e0) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( ( e4 != unit
& e3 = op(e2,e4) )
| e4 != op(e2,e3) )
& ( ( e4 != unit
& e2 = op(e2,e4) )
| e4 != op(e2,e2) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e1 = op(e1,e4) )
| e4 != op(e1,e1) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( ( e4 != unit
& e4 = op(e0,e4) )
| e4 != op(e0,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1) )
& ( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e2,e3) )
| e3 != op(e2,e3) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( ( e3 != unit
& e0 = op(e2,e3) )
| e3 != op(e2,e0) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( ( e3 != unit
& e3 = op(e1,e3) )
| e3 != op(e1,e3) )
& ( ( e3 != unit
& e2 = op(e1,e3) )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1) )
& ( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e2 = op(e0,e3) )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0) )
& ( ( e2 != unit
& e4 = op(e2,e2) )
| e2 != op(e2,e4) )
& ( ( e2 != unit
& e3 = op(e2,e2) )
| e2 != op(e2,e3) )
& ( ( e2 != unit
& e2 = op(e2,e2) )
| e2 != op(e2,e2) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e2 = op(e1,e2) )
| e2 != op(e1,e2) )
& ( ( e2 != unit
& e1 = op(e1,e2) )
| e2 != op(e1,e1) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e4 = op(e0,e2) )
| e2 != op(e0,e4) )
& ( ( e2 != unit
& e3 = op(e0,e2) )
| e2 != op(e0,e3) )
& ( ( e2 != unit
& e2 = op(e0,e2) )
| e2 != op(e0,e2) )
& ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e2 != unit
& e0 = op(e0,e2) )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& e4 = op(e4,e1) )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e1 != unit
& e3 = op(e3,e1) )
| e1 != op(e3,e3) )
& ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e4 = op(e2,e1) )
| e1 != op(e2,e4) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e2 = op(e1,e1) )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e4 = op(e0,e1) )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e3 = op(e0,e1) )
| e1 != op(e0,e3) )
& ( ( e1 != unit
& e2 = op(e0,e1) )
| e1 != op(e0,e2) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e1 != unit
& e0 = op(e0,e1) )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e2 = op(e4,e0) )
| e0 != op(e4,e2) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2) )
& ( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e0 = op(e2,e0) )
| e0 != op(e2,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f5426,plain,
( ~ spl154_414
| ~ spl154_142
| spl154_346
| ~ spl154_400 ),
inference(avatar_split_clause,[],[f5401,f4383,f3065,f1894,f5405]) ).
fof(f5401,plain,
( e1 != op(unit,e4)
| ~ spl154_142
| spl154_346
| ~ spl154_400 ),
inference(forward_demodulation,[],[f3066,f5352]) ).
fof(f5425,plain,
( ~ spl154_415
| ~ spl154_142
| ~ spl154_400
| spl154_413 ),
inference(avatar_split_clause,[],[f5382,f5378,f4383,f1894,f5422]) ).
fof(f5382,plain,
( unit != op(unit,unit)
| ~ spl154_142
| ~ spl154_400
| spl154_413 ),
inference(forward_demodulation,[],[f5380,f5352]) ).
fof(f5414,plain,
( spl154_387
| ~ spl154_135
| ~ spl154_411 ),
inference(avatar_split_clause,[],[f5370,f4875,f1859,f3642]) ).
fof(f5370,plain,
( unit = op(e4,unit)
| ~ spl154_135
| ~ spl154_411 ),
inference(forward_demodulation,[],[f4877,f1860]) ).
fof(f5411,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_387
| ~ spl154_414 ),
inference(avatar_split_clause,[],[f5410,f5405,f3642,f1919,f1879,f1859,f1869]) ).
fof(f5410,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_147
| ~ spl154_387
| ~ spl154_414 ),
inference(forward_demodulation,[],[f5409,f3350]) ).
fof(f5409,plain,
( e1 = op(unit,unit)
| ~ spl154_147
| ~ spl154_387
| ~ spl154_414 ),
inference(forward_demodulation,[],[f5407,f5402]) ).
fof(f5407,plain,
( e1 = op(unit,e4)
| ~ spl154_414 ),
inference(avatar_component_clause,[],[f5405]) ).
fof(f5408,plain,
( spl154_414
| ~ spl154_135
| ~ spl154_356 ),
inference(avatar_split_clause,[],[f5210,f3112,f1859,f5405]) ).
fof(f5210,plain,
( e1 = op(unit,e4)
| ~ spl154_135
| ~ spl154_356 ),
inference(forward_demodulation,[],[f3114,f1860]) ).
fof(f5385,plain,
( spl154_131
| ~ spl154_346
| ~ spl154_395 ),
inference(avatar_split_clause,[],[f5324,f3694,f3065,f1839]) ).
fof(f5324,plain,
( e1 = e4
| ~ spl154_346
| ~ spl154_395 ),
inference(superposition,[],[f3067,f3696]) ).
fof(f5383,plain,
( spl154_387
| ~ spl154_135
| ~ spl154_381 ),
inference(avatar_split_clause,[],[f4903,f3338,f1859,f3642]) ).
fof(f4903,plain,
( unit = op(e4,unit)
| ~ spl154_135
| ~ spl154_381 ),
inference(forward_demodulation,[],[f3339,f1860]) ).
fof(f5381,plain,
( ~ spl154_413
| ~ spl154_135
| spl154_409 ),
inference(avatar_split_clause,[],[f4881,f4867,f1859,f5378]) ).
fof(f4881,plain,
( unit != op(e2,unit)
| ~ spl154_135
| spl154_409 ),
inference(forward_demodulation,[],[f4868,f1860]) ).
fof(f4868,plain,
( e0 != op(e2,e0)
| spl154_409 ),
inference(avatar_component_clause,[],[f4867]) ).
fof(f5375,plain,
( ~ spl154_412
| ~ spl154_135
| spl154_410 ),
inference(avatar_split_clause,[],[f4880,f4871,f1859,f5372]) ).
fof(f5372,plain,
( spl154_412
<=> unit = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_412])]) ).
fof(f4880,plain,
( unit != op(e3,unit)
| ~ spl154_135
| spl154_410 ),
inference(forward_demodulation,[],[f4872,f1860]) ).
fof(f4872,plain,
( e0 != op(e3,e0)
| spl154_410 ),
inference(avatar_component_clause,[],[f4871]) ).
fof(f5369,plain,
( ~ spl154_387
| ~ spl154_135
| spl154_411 ),
inference(avatar_split_clause,[],[f4879,f4875,f1859,f3642]) ).
fof(f4879,plain,
( unit != op(e4,unit)
| ~ spl154_135
| spl154_411 ),
inference(forward_demodulation,[],[f4876,f1860]) ).
fof(f5367,plain,
( ~ spl154_140
| ~ spl154_135
| spl154_406 ),
inference(avatar_split_clause,[],[f4858,f4843,f1859,f1884]) ).
fof(f4858,plain,
( e1 != op(unit,e1)
| ~ spl154_135
| spl154_406 ),
inference(forward_demodulation,[],[f4844,f1860]) ).
fof(f4844,plain,
( e1 != op(e0,e1)
| spl154_406 ),
inference(avatar_component_clause,[],[f4843]) ).
fof(f5355,plain,
( ~ spl154_333
| spl154_392
| ~ spl154_395 ),
inference(avatar_split_clause,[],[f3708,f3694,f3679,f2876]) ).
fof(f3708,plain,
( e4 != unit
| spl154_392
| ~ spl154_395 ),
inference(superposition,[],[f3681,f3696]) ).
fof(f3681,plain,
( op(e2,e4) != unit
| spl154_392 ),
inference(avatar_component_clause,[],[f3679]) ).
fof(f5302,plain,
( ~ spl154_62
| spl154_136
| ~ spl154_135
| ~ spl154_143 ),
inference(avatar_split_clause,[],[f5262,f1899,f1859,f1864,f1448]) ).
fof(f1448,plain,
( spl154_62
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_62])]) ).
fof(f5262,plain,
( e3 = unit
| ~ sP60
| ~ spl154_135
| ~ spl154_143 ),
inference(trivial_inequality_removal,[],[f5261]) ).
fof(f5261,plain,
( e2 != e2
| e3 = unit
| ~ sP60
| ~ spl154_135
| ~ spl154_143 ),
inference(forward_demodulation,[],[f5260,f1901]) ).
fof(f5260,plain,
( e2 != op(e2,unit)
| e3 = unit
| ~ sP60
| ~ spl154_135 ),
inference(forward_demodulation,[],[f5259,f1860]) ).
fof(f5259,plain,
( e3 = unit
| e2 != op(e2,e0)
| ~ sP60
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1474,f1860]) ).
fof(f1474,plain,
( e0 = e3
| e2 != op(e2,e0)
| ~ sP60 ),
inference(forward_demodulation,[],[f644,f893]) ).
fof(f644,plain,
( e0 = op(e2,e2)
| e2 != op(e2,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( e2 != unit
& e0 = op(e2,e2) )
| e2 != op(e2,e0)
| ~ sP60 ),
inference(nnf_transformation,[],[f70]) ).
fof(f5287,plain,
( spl154_333
| ~ spl154_335
| ~ spl154_404 ),
inference(avatar_split_clause,[],[f5285,f4639,f2885,f2876]) ).
fof(f5285,plain,
( e4 = unit
| ~ spl154_335
| ~ spl154_404 ),
inference(forward_demodulation,[],[f2887,f4641]) ).
fof(f5282,plain,
( spl154_134
| ~ spl154_148
| ~ spl154_170 ),
inference(avatar_split_clause,[],[f5116,f2024,f1924,f1854]) ).
fof(f2024,plain,
( spl154_170
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_170])]) ).
fof(f5116,plain,
( e3 = e4
| ~ spl154_148
| ~ spl154_170 ),
inference(forward_demodulation,[],[f2026,f1926]) ).
fof(f2026,plain,
( e4 = op(e2,e2)
| ~ spl154_170 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f5258,plain,
( spl154_333
| ~ spl154_350
| ~ spl154_388 ),
inference(avatar_split_clause,[],[f5211,f3657,f3084,f2876]) ).
fof(f5211,plain,
( e4 = unit
| ~ spl154_350
| ~ spl154_388 ),
inference(forward_demodulation,[],[f3085,f3658]) ).
fof(f5257,plain,
( ~ spl154_10
| ~ spl154_135
| ~ spl154_139 ),
inference(avatar_split_clause,[],[f5247,f1879,f1859,f1158]) ).
fof(f1158,plain,
( spl154_10
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_10])]) ).
fof(f5247,plain,
( ~ sP0
| ~ spl154_135
| ~ spl154_139 ),
inference(trivial_inequality_removal,[],[f5246]) ).
fof(f5246,plain,
( unit != unit
| ~ sP0
| ~ spl154_135
| ~ spl154_139 ),
inference(forward_demodulation,[],[f5245,f3350]) ).
fof(f5245,plain,
( unit != op(unit,unit)
| ~ sP0
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f5244]) ).
fof(f5244,plain,
( unit != unit
| unit != op(unit,unit)
| ~ sP0
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1094,f1860]) ).
fof(f1094,plain,
( e0 != unit
| unit != op(unit,unit)
| ~ sP0 ),
inference(inner_rewriting,[],[f765]) ).
fof(f765,plain,
( e0 != unit
| e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f5194,plain,
( spl154_333
| ~ spl154_148
| ~ spl154_170
| ~ spl154_402 ),
inference(avatar_split_clause,[],[f5119,f4400,f2024,f1924,f2876]) ).
fof(f5119,plain,
( e4 = unit
| ~ spl154_148
| ~ spl154_170
| ~ spl154_402 ),
inference(forward_demodulation,[],[f5116,f4627]) ).
fof(f5118,plain,
( spl154_333
| ~ spl154_148
| ~ spl154_341
| ~ spl154_369
| ~ spl154_402 ),
inference(avatar_split_clause,[],[f4997,f4400,f3183,f3040,f1924,f2876]) ).
fof(f4997,plain,
( e4 = unit
| ~ spl154_148
| ~ spl154_341
| ~ spl154_369
| ~ spl154_402 ),
inference(forward_demodulation,[],[f4682,f4627]) ).
fof(f5083,plain,
( spl154_334
| ~ spl154_135
| ~ spl154_150
| ~ spl154_183 ),
inference(avatar_split_clause,[],[f4995,f2089,f1934,f1859,f2880]) ).
fof(f4995,plain,
( e2 = unit
| ~ spl154_135
| ~ spl154_150
| ~ spl154_183 ),
inference(forward_demodulation,[],[f4988,f1860]) ).
fof(f4988,plain,
( e0 = e2
| ~ spl154_150
| ~ spl154_183 ),
inference(forward_demodulation,[],[f2091,f1936]) ).
fof(f5066,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_141
| ~ spl154_148
| ~ spl154_360
| ~ spl154_402 ),
inference(avatar_split_clause,[],[f4967,f4400,f3139,f1924,f1889,f1859,f1869]) ).
fof(f4967,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_141
| ~ spl154_148
| ~ spl154_360
| ~ spl154_402 ),
inference(forward_demodulation,[],[f4741,f4627]) ).
fof(f4990,plain,
( spl154_137
| ~ spl154_135
| ~ spl154_139
| ~ spl154_148
| ~ spl154_362
| ~ spl154_402 ),
inference(avatar_split_clause,[],[f4911,f4400,f3149,f1924,f1879,f1859,f1869]) ).
fof(f4911,plain,
( e1 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_148
| ~ spl154_362
| ~ spl154_402 ),
inference(forward_demodulation,[],[f4910,f1860]) ).
fof(f4910,plain,
( e0 = e1
| ~ spl154_139
| ~ spl154_148
| ~ spl154_362
| ~ spl154_402 ),
inference(forward_demodulation,[],[f4909,f1881]) ).
fof(f4909,plain,
( e1 = op(e0,unit)
| ~ spl154_148
| ~ spl154_362
| ~ spl154_402 ),
inference(forward_demodulation,[],[f3151,f4627]) ).
fof(f4905,plain,
( ~ spl154_62
| spl154_137
| ~ spl154_135
| ~ spl154_140
| ~ spl154_143
| ~ spl154_333
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f4898,f3183,f2876,f1899,f1884,f1859,f1869,f1448]) ).
fof(f4898,plain,
( e1 = unit
| ~ sP60
| ~ spl154_135
| ~ spl154_140
| ~ spl154_143
| ~ spl154_333
| ~ spl154_369 ),
inference(trivial_inequality_removal,[],[f4897]) ).
fof(f4897,plain,
( e2 != e2
| e1 = unit
| ~ sP60
| ~ spl154_135
| ~ spl154_140
| ~ spl154_143
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4896,f1901]) ).
fof(f4896,plain,
( e2 != op(e2,unit)
| e1 = unit
| ~ sP60
| ~ spl154_135
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4895,f1860]) ).
fof(f4895,plain,
( e1 = unit
| e2 != op(e2,e0)
| ~ sP60
| ~ spl154_135
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4894,f1860]) ).
fof(f4894,plain,
( e0 = e1
| e2 != op(e2,e0)
| ~ sP60
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f1474,f4618]) ).
fof(f4618,plain,
( e1 = e3
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4528,f1886]) ).
fof(f4900,plain,
( ~ spl154_333
| ~ spl154_147
| spl154_387 ),
inference(avatar_split_clause,[],[f3654,f3642,f1919,f2876]) ).
fof(f4890,plain,
( spl154_193
| spl154_366
| spl154_299
| spl154_338
| spl154_364 ),
inference(avatar_split_clause,[],[f900,f3159,f3025,f2696,f3168,f2136]) ).
fof(f900,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f4889,plain,
( spl154_193
| spl154_367
| spl154_384
| spl154_248
| spl154_354 ),
inference(avatar_split_clause,[],[f899,f3103,f2428,f3449,f3174,f2136]) ).
fof(f899,plain,
( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f4882,plain,
( spl154_187
| spl154_406
| spl154_234
| spl154_362
| spl154_356 ),
inference(avatar_split_clause,[],[f897,f3112,f3149,f2352,f4843,f2109]) ).
fof(f897,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f4878,plain,
( spl154_196
| spl154_280
| spl154_409
| spl154_410
| spl154_411 ),
inference(avatar_split_clause,[],[f896,f4875,f4871,f4867,f2592,f2150]) ).
fof(f896,plain,
( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4865,plain,
( ~ spl154_14
| ~ spl154_135
| ~ spl154_139
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f4861,f2876,f1879,f1859,f1179]) ).
fof(f4859,plain,
( spl154_196
| spl154_217
| spl154_379
| spl154_378
| spl154_377 ),
inference(avatar_split_clause,[],[f895,f3225,f3230,f3235,f2262,f2150]) ).
fof(f895,plain,
( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4854,plain,
( spl154_406
| spl154_407
| spl154_316
| spl154_408
| spl154_125 ),
inference(avatar_split_clause,[],[f1114,f1809,f4851,f2789,f4847,f4843]) ).
fof(f2789,plain,
( spl154_316
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_316])]) ).
fof(f1114,plain,
( e0 = e1
| e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(forward_demodulation,[],[f908,f1097]) ).
fof(f908,plain,
( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4839,plain,
( spl154_405
| ~ spl154_141
| ~ spl154_333
| ~ spl154_351
| ~ spl154_388 ),
inference(avatar_split_clause,[],[f4834,f3657,f3088,f2876,f1889,f4836]) ).
fof(f4834,plain,
( op(e1,e1) = unit
| ~ spl154_141
| ~ spl154_333
| ~ spl154_351
| ~ spl154_388 ),
inference(forward_demodulation,[],[f3658,f4610]) ).
fof(f4610,plain,
( e1 = e2
| ~ spl154_141
| ~ spl154_333
| ~ spl154_351 ),
inference(forward_demodulation,[],[f4520,f1891]) ).
fof(f4520,plain,
( e2 = op(e1,unit)
| ~ spl154_333
| ~ spl154_351 ),
inference(superposition,[],[f3090,f2877]) ).
fof(f4833,plain,
( spl154_385
| spl154_239
| spl154_388
| ~ spl154_135
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f4783,f3183,f2876,f1884,f1859,f3657,f2379,f3453]) ).
fof(f2379,plain,
( spl154_239
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_239])]) ).
fof(f4783,plain,
( op(e1,e2) = unit
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| ~ spl154_135
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(duplicate_literal_removal,[],[f4782]) ).
fof(f4782,plain,
( op(e1,e2) = unit
| e1 = op(e1,e2)
| op(e1,e2) = unit
| e2 = op(e1,e2)
| ~ spl154_135
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4781,f1860]) ).
fof(f4781,plain,
( e1 = op(e1,e2)
| op(e1,e2) = unit
| e2 = op(e1,e2)
| e0 = op(e1,e2)
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(duplicate_literal_removal,[],[f4780]) ).
fof(f4780,plain,
( e1 = op(e1,e2)
| op(e1,e2) = unit
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| ~ spl154_140
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4779,f4618]) ).
fof(f4779,plain,
( op(e1,e2) = unit
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| ~ spl154_333 ),
inference(forward_demodulation,[],[f952,f2877]) ).
fof(f952,plain,
( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f4799,plain,
( spl154_334
| ~ spl154_135
| ~ spl154_139
| ~ spl154_333
| ~ spl154_354 ),
inference(avatar_split_clause,[],[f4791,f3103,f2876,f1879,f1859,f2880]) ).
fof(f4791,plain,
( e2 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_333
| ~ spl154_354 ),
inference(forward_demodulation,[],[f4790,f1860]) ).
fof(f4790,plain,
( e0 = e2
| ~ spl154_139
| ~ spl154_333
| ~ spl154_354 ),
inference(forward_demodulation,[],[f4789,f1881]) ).
fof(f4789,plain,
( e2 = op(e0,unit)
| ~ spl154_333
| ~ spl154_354 ),
inference(forward_demodulation,[],[f3105,f2877]) ).
fof(f4742,plain,
( spl154_334
| ~ spl154_135
| ~ spl154_140
| ~ spl154_150
| ~ spl154_252
| ~ spl154_333
| ~ spl154_369 ),
inference(avatar_split_clause,[],[f4730,f3183,f2876,f2449,f1934,f1884,f1859,f2880]) ).
fof(f4730,plain,
( e2 = unit
| ~ spl154_135
| ~ spl154_140
| ~ spl154_150
| ~ spl154_252
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4729,f1860]) ).
fof(f4729,plain,
( e0 = e2
| ~ spl154_140
| ~ spl154_150
| ~ spl154_252
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f4728,f1936]) ).
fof(f4728,plain,
( e2 = op(e1,e1)
| ~ spl154_140
| ~ spl154_252
| ~ spl154_333
| ~ spl154_369 ),
inference(forward_demodulation,[],[f2450,f4618]) ).
fof(f4727,plain,
( spl154_129
| ~ spl154_140
| ~ spl154_252
| ~ spl154_333
| ~ spl154_369
| ~ spl154_399 ),
inference(avatar_split_clause,[],[f4726,f3959,f3183,f2876,f2449,f1884,f1829]) ).
fof(f4726,plain,
( e1 = e2
| ~ spl154_140
| ~ spl154_252
| ~ spl154_333
| ~ spl154_369
| ~ spl154_399 ),
inference(forward_demodulation,[],[f4725,f4618]) ).
fof(f4685,plain,
( spl154_308
| spl154_343
| spl154_152
| spl154_132
| spl154_134
| ~ spl154_135
| ~ spl154_146
| ~ spl154_351 ),
inference(avatar_split_clause,[],[f4110,f3088,f1914,f1859,f1854,f1844,f1943,f3050,f2746]) ).
fof(f2746,plain,
( spl154_308
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_308])]) ).
fof(f4110,plain,
( e3 = e4
| e2 = e3
| e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| ~ spl154_135
| ~ spl154_146
| ~ spl154_351 ),
inference(forward_demodulation,[],[f4109,f1916]) ).
fof(f4109,plain,
( e3 = op(unit,e4)
| e2 = e3
| e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| ~ spl154_135
| ~ spl154_351 ),
inference(forward_demodulation,[],[f4108,f1860]) ).
fof(f4108,plain,
( e2 = e3
| e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e0,e4)
| ~ spl154_351 ),
inference(forward_demodulation,[],[f942,f3090]) ).
fof(f4684,plain,
( ~ spl154_106
| ~ spl154_135
| ~ spl154_160
| ~ spl154_333 ),
inference(avatar_split_clause,[],[f4680,f2876,f1979,f1859,f1705]) ).
fof(f1705,plain,
( spl154_106
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_106])]) ).
fof(f4680,plain,
( ~ sP18
| ~ spl154_135
| ~ spl154_160
| ~ spl154_333 ),
inference(trivial_inequality_removal,[],[f4679]) ).
fof(f4679,plain,
( unit != unit
| ~ sP18
| ~ spl154_135
| ~ spl154_160
| ~ spl154_333 ),
inference(forward_demodulation,[],[f3547,f2877]) ).
fof(f3547,plain,
( e4 != unit
| ~ sP18
| ~ spl154_135
| ~ spl154_160 ),
inference(forward_demodulation,[],[f3546,f1981]) ).
fof(f3546,plain,
( op(e3,e3) != unit
| ~ sP18
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3545]) ).
fof(f3545,plain,
( unit != unit
| op(e3,e3) != unit
| ~ sP18
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1076,f1860]) ).
fof(f1076,plain,
( e0 != unit
| op(e3,e3) != unit
| ~ sP18 ),
inference(inner_rewriting,[],[f729]) ).
fof(f729,plain,
( e0 != unit
| e0 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
( ( e0 != unit
& e3 = op(e3,e0) )
| e0 != op(e3,e3)
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f4644,plain,
( spl154_133
| ~ spl154_199
| ~ spl154_398 ),
inference(avatar_split_clause,[],[f4364,f3951,f2165,f1849]) ).
fof(f4364,plain,
( e2 = e4
| ~ spl154_199
| ~ spl154_398 ),
inference(superposition,[],[f2167,f3953]) ).
fof(f4642,plain,
( ~ spl154_188
| spl154_404
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f4406,f1859,f4639,f2114]) ).
fof(f4406,plain,
( op(e4,e4) = unit
| ~ sP134
| ~ spl154_135 ),
inference(forward_demodulation,[],[f377,f1860]) ).
fof(f4636,plain,
( ~ spl154_81
| ~ spl154_403
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3537,f1859,f4633,f1559]) ).
fof(f1559,plain,
( spl154_81
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_81])]) ).
fof(f3537,plain,
( op(e2,e3) != unit
| ~ sP13
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3536]) ).
fof(f3536,plain,
( unit != unit
| op(e2,e3) != unit
| ~ sP13
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1081,f1860]) ).
fof(f1081,plain,
( e0 != unit
| op(e2,e3) != unit
| ~ sP13 ),
inference(inner_rewriting,[],[f739]) ).
fof(f739,plain,
( e0 != unit
| e0 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3)
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f4630,plain,
( ~ spl154_400
| ~ spl154_135
| spl154_379 ),
inference(avatar_split_clause,[],[f4410,f3235,f1859,f4383]) ).
fof(f4410,plain,
( unit != op(unit,e2)
| ~ spl154_135
| spl154_379 ),
inference(forward_demodulation,[],[f3237,f1860]) ).
fof(f4441,plain,
( spl154_333
| ~ spl154_135
| ~ spl154_139
| ~ spl154_189 ),
inference(avatar_split_clause,[],[f4440,f2118,f1879,f1859,f2876]) ).
fof(f4440,plain,
( e4 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_189 ),
inference(forward_demodulation,[],[f4439,f3350]) ).
fof(f4439,plain,
( e4 = op(unit,unit)
| ~ spl154_135
| ~ spl154_189 ),
inference(forward_demodulation,[],[f2120,f1860]) ).
fof(f4405,plain,
( ~ spl154_334
| ~ spl154_135
| ~ spl154_139
| ~ spl154_143
| spl154_204 ),
inference(avatar_split_clause,[],[f3556,f2193,f1899,f1879,f1859,f2880]) ).
fof(f2193,plain,
( spl154_204
<=> op(e0,e0) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_204])]) ).
fof(f3556,plain,
( e2 != unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_143
| spl154_204 ),
inference(forward_demodulation,[],[f3500,f3350]) ).
fof(f3500,plain,
( e2 != op(unit,unit)
| ~ spl154_135
| ~ spl154_143
| spl154_204 ),
inference(forward_demodulation,[],[f3357,f1901]) ).
fof(f3357,plain,
( op(e2,unit) != op(unit,unit)
| ~ spl154_135
| spl154_204 ),
inference(superposition,[],[f2195,f1860]) ).
fof(f2195,plain,
( op(e0,e0) != op(e2,e0)
| spl154_204 ),
inference(avatar_component_clause,[],[f2193]) ).
fof(f4403,plain,
( spl154_402
| ~ spl154_135
| ~ spl154_177 ),
inference(avatar_split_clause,[],[f4165,f2059,f1859,f4400]) ).
fof(f4165,plain,
( op(e2,e2) = unit
| ~ spl154_135
| ~ spl154_177 ),
inference(forward_demodulation,[],[f2061,f1860]) ).
fof(f4396,plain,
( ~ spl154_401
| ~ spl154_135
| ~ spl154_144
| spl154_247 ),
inference(avatar_split_clause,[],[f4158,f2422,f1904,f1859,f4393]) ).
fof(f4393,plain,
( spl154_401
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_401])]) ).
fof(f4158,plain,
( e3 != op(e2,e3)
| ~ spl154_135
| ~ spl154_144
| spl154_247 ),
inference(forward_demodulation,[],[f4157,f1906]) ).
fof(f4157,plain,
( op(e2,e3) != op(unit,e3)
| ~ spl154_135
| spl154_247 ),
inference(forward_demodulation,[],[f2424,f1860]) ).
fof(f4386,plain,
( spl154_400
| ~ spl154_135
| ~ spl154_379 ),
inference(avatar_split_clause,[],[f4147,f3235,f1859,f4383]) ).
fof(f4147,plain,
( unit = op(unit,e2)
| ~ spl154_135
| ~ spl154_379 ),
inference(forward_demodulation,[],[f3236,f1860]) ).
fof(f4302,plain,
( ~ spl154_334
| ~ spl154_135
| ~ spl154_139
| spl154_193 ),
inference(avatar_split_clause,[],[f4146,f2136,f1879,f1859,f2880]) ).
fof(f4146,plain,
( e2 != unit
| ~ spl154_135
| ~ spl154_139
| spl154_193 ),
inference(forward_demodulation,[],[f4145,f3350]) ).
fof(f4145,plain,
( e2 != op(unit,unit)
| ~ spl154_135
| spl154_193 ),
inference(forward_demodulation,[],[f2137,f1860]) ).
fof(f4167,plain,
( ~ spl154_176
| spl154_334
| ~ spl154_135
| ~ spl154_139 ),
inference(avatar_split_clause,[],[f4164,f1879,f1859,f2880,f2055]) ).
fof(f4164,plain,
( e2 = unit
| ~ sP140
| ~ spl154_135
| ~ spl154_139 ),
inference(forward_demodulation,[],[f4163,f3350]) ).
fof(f4163,plain,
( e2 = op(unit,unit)
| ~ sP140
| ~ spl154_135 ),
inference(forward_demodulation,[],[f359,f1860]) ).
fof(f359,plain,
( op(e0,e0) = e2
| ~ sP140 ),
inference(cnf_transformation,[],[f178]) ).
fof(f4144,plain,
( spl154_133
| ~ spl154_160
| ~ spl154_164 ),
inference(avatar_split_clause,[],[f4014,f1997,f1979,f1849]) ).
fof(f4014,plain,
( e2 = e4
| ~ spl154_160
| ~ spl154_164 ),
inference(forward_demodulation,[],[f1999,f1981]) ).
fof(f1999,plain,
( e2 = op(e3,e3)
| ~ spl154_164 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f4105,plain,
( spl154_334
| ~ spl154_135
| ~ spl154_139
| ~ spl154_193 ),
inference(avatar_split_clause,[],[f3969,f2136,f1879,f1859,f2880]) ).
fof(f3969,plain,
( e2 = unit
| ~ spl154_135
| ~ spl154_139
| ~ spl154_193 ),
inference(forward_demodulation,[],[f3968,f3350]) ).
fof(f3968,plain,
( e2 = op(unit,unit)
| ~ spl154_135
| ~ spl154_193 ),
inference(forward_demodulation,[],[f2138,f1860]) ).
fof(f4047,plain,
( spl154_131
| ~ spl154_135
| ~ spl154_140
| ~ spl154_355 ),
inference(avatar_split_clause,[],[f3967,f3108,f1884,f1859,f1839]) ).
fof(f3967,plain,
( e1 = e4
| ~ spl154_135
| ~ spl154_140
| ~ spl154_355 ),
inference(forward_demodulation,[],[f3966,f1886]) ).
fof(f3966,plain,
( e4 = op(unit,e1)
| ~ spl154_135
| ~ spl154_355 ),
inference(forward_demodulation,[],[f3109,f1860]) ).
fof(f4019,plain,
( ~ spl154_171
| ~ spl154_198 ),
inference(avatar_split_clause,[],[f4010,f2160,f2030]) ).
fof(f4010,plain,
( ~ sP143
| ~ spl154_198 ),
inference(trivial_inequality_removal,[],[f4009]) ).
fof(f4009,plain,
( e2 != e2
| ~ sP143
| ~ spl154_198 ),
inference(forward_demodulation,[],[f351,f2162]) ).
fof(f351,plain,
( e2 != op(e2,e3)
| ~ sP143 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP143 ),
inference(nnf_transformation,[],[f153]) ).
fof(f3965,plain,
( ~ spl154_135
| spl154_127
| ~ spl154_136 ),
inference(avatar_split_clause,[],[f3820,f1864,f1819,f1859]) ).
fof(f3820,plain,
( e0 != unit
| spl154_127
| ~ spl154_136 ),
inference(superposition,[],[f1821,f1865]) ).
fof(f1821,plain,
( e0 != e3
| spl154_127 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f3962,plain,
( spl154_360
| spl154_237
| spl154_399
| spl154_349
| spl154_127 ),
inference(avatar_split_clause,[],[f1111,f1819,f3079,f3959,f2368,f3139]) ).
fof(f2368,plain,
( spl154_237
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_237])]) ).
fof(f1111,plain,
( e0 = e3
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0) ),
inference(forward_demodulation,[],[f911,f1097]) ).
fof(f911,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3954,plain,
( spl154_355
| spl154_345
| spl154_398
| spl154_341
| spl154_128 ),
inference(avatar_split_clause,[],[f1108,f1824,f3040,f3951,f3061,f3108]) ).
fof(f1108,plain,
( e0 = e4
| e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) ),
inference(forward_demodulation,[],[f914,f1097]) ).
fof(f914,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3941,plain,
( spl154_379
| spl154_287
| spl154_177
| spl154_365
| spl154_125 ),
inference(avatar_split_clause,[],[f1107,f1809,f3163,f2059,f2632,f3235]) ).
fof(f2632,plain,
( spl154_287
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_287])]) ).
fof(f1107,plain,
( e0 = e1
| e0 = op(e4,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(forward_demodulation,[],[f916,f1095]) ).
fof(f916,plain,
( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3940,plain,
( ~ spl154_31
| ~ spl154_136
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3811,f1859,f1864,f1269]) ).
fof(f1269,plain,
( spl154_31
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_31])]) ).
fof(f3811,plain,
( e3 != unit
| ~ sP3
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3810]) ).
fof(f3810,plain,
( unit != unit
| e3 != unit
| ~ sP3
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1294,f1860]) ).
fof(f1294,plain,
( e3 != unit
| e0 != unit
| ~ sP3 ),
inference(forward_demodulation,[],[f1091,f786]) ).
fof(f786,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1091,plain,
( e0 != unit
| unit != op(unit,e3)
| ~ sP3 ),
inference(inner_rewriting,[],[f759]) ).
fof(f759,plain,
( e0 != unit
| e0 != op(e0,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
( ( e0 != unit
& op(e0,e0) = e3 )
| e0 != op(e0,e3)
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f3939,plain,
( ~ spl154_76
| ~ spl154_136
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3809,f1859,f1864,f1532]) ).
fof(f1532,plain,
( spl154_76
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_76])]) ).
fof(f3809,plain,
( e3 != unit
| ~ sP12
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3808]) ).
fof(f3808,plain,
( unit != unit
| e3 != unit
| ~ sP12
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1557,f1860]) ).
fof(f1557,plain,
( e3 != unit
| e0 != unit
| ~ sP12 ),
inference(forward_demodulation,[],[f1082,f893]) ).
fof(f1082,plain,
( e0 != unit
| op(e2,e2) != unit
| ~ sP12 ),
inference(inner_rewriting,[],[f741]) ).
fof(f741,plain,
( e0 != unit
| e0 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
( ( e0 != unit
& e2 = op(e2,e0) )
| e0 != op(e2,e2)
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f3938,plain,
( ~ spl154_91
| ~ spl154_136
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3807,f1859,f1864,f1620]) ).
fof(f1620,plain,
( spl154_91
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_91])]) ).
fof(f3807,plain,
( e3 != unit
| ~ sP15
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3806]) ).
fof(f3806,plain,
( unit != unit
| e3 != unit
| ~ sP15
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1647,f1860]) ).
fof(f1647,plain,
( e3 != unit
| e0 != unit
| ~ sP15 ),
inference(forward_demodulation,[],[f1079,f787]) ).
fof(f787,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1079,plain,
( e0 != unit
| unit != op(e3,unit)
| ~ sP15 ),
inference(inner_rewriting,[],[f735]) ).
fof(f735,plain,
( e0 != unit
| e0 != op(e3,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0)
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f3937,plain,
( ~ spl154_33
| ~ spl154_136
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3805,f1859,f1864,f1279]) ).
fof(f1279,plain,
( spl154_33
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_33])]) ).
fof(f3805,plain,
( e3 != unit
| ~ sP81
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3804]) ).
fof(f3804,plain,
( unit != unit
| e3 != unit
| ~ sP81
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1306,f1860]) ).
fof(f1306,plain,
( e0 != unit
| e3 != unit
| ~ sP81 ),
inference(forward_demodulation,[],[f1013,f1097]) ).
fof(f1013,plain,
( e3 != unit
| op(e1,e1) != unit
| ~ sP81 ),
inference(inner_rewriting,[],[f603]) ).
fof(f603,plain,
( e3 != unit
| e3 != op(e1,e1)
| ~ sP81 ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ( e3 != unit
& e1 = op(e1,e3) )
| e3 != op(e1,e1)
| ~ sP81 ),
inference(nnf_transformation,[],[f91]) ).
fof(f3936,plain,
( ~ spl154_18
| ~ spl154_136
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3803,f1859,f1864,f1199]) ).
fof(f1199,plain,
( spl154_18
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_18])]) ).
fof(f3803,plain,
( e3 != unit
| ~ sP78
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3802]) ).
fof(f3802,plain,
( unit != unit
| e3 != unit
| ~ sP78
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1223,f1860]) ).
fof(f1223,plain,
( e0 != unit
| e3 != unit
| ~ sP78 ),
inference(forward_demodulation,[],[f1016,f781]) ).
fof(f1016,plain,
( e3 != unit
| unit != op(e0,unit)
| ~ sP78 ),
inference(inner_rewriting,[],[f609]) ).
fof(f609,plain,
( e3 != unit
| e3 != op(e0,e3)
| ~ sP78 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3)
| ~ sP78 ),
inference(nnf_transformation,[],[f88]) ).
fof(f3935,plain,
( ~ spl154_397
| ~ spl154_136
| ~ spl154_135
| ~ spl154_152 ),
inference(avatar_split_clause,[],[f3550,f1943,f1859,f1864,f3932]) ).
fof(f3932,plain,
( spl154_397
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_397])]) ).
fof(f3550,plain,
( e3 != unit
| ~ sP24
| ~ spl154_135
| ~ spl154_152 ),
inference(forward_demodulation,[],[f3549,f1945]) ).
fof(f3549,plain,
( op(e4,e4) != unit
| ~ sP24
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3548]) ).
fof(f3548,plain,
( unit != unit
| op(e4,e4) != unit
| ~ sP24
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1070,f1860]) ).
fof(f1070,plain,
( e0 != unit
| op(e4,e4) != unit
| ~ sP24 ),
inference(inner_rewriting,[],[f717]) ).
fof(f717,plain,
( e0 != unit
| e0 != op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4)
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f3801,plain,
( spl154_302
| spl154_369
| spl154_136
| spl154_132
| spl154_130
| ~ spl154_135
| ~ spl154_140
| ~ spl154_199 ),
inference(avatar_split_clause,[],[f3798,f2165,f1884,f1859,f1834,f1844,f1864,f3183,f2712]) ).
fof(f2712,plain,
( spl154_302
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_302])]) ).
fof(f3798,plain,
( e1 = e3
| e2 = e3
| e3 = unit
| e3 = op(e4,e1)
| e3 = op(e2,e1)
| ~ spl154_135
| ~ spl154_140
| ~ spl154_199 ),
inference(forward_demodulation,[],[f3797,f1886]) ).
fof(f3797,plain,
( e3 = op(unit,e1)
| e2 = e3
| e3 = unit
| e3 = op(e4,e1)
| e3 = op(e2,e1)
| ~ spl154_135
| ~ spl154_199 ),
inference(forward_demodulation,[],[f3796,f1860]) ).
fof(f3796,plain,
( e2 = e3
| e3 = unit
| e3 = op(e4,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl154_135
| ~ spl154_199 ),
inference(forward_demodulation,[],[f3795,f2167]) ).
fof(f3795,plain,
( e3 = unit
| e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1110,f1860]) ).
fof(f1110,plain,
( e0 = e3
| e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f912,f1097]) ).
fof(f912,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3790,plain,
( spl154_132
| ~ spl154_199
| ~ spl154_358 ),
inference(avatar_split_clause,[],[f3750,f3129,f2165,f1844]) ).
fof(f3750,plain,
( e2 = e3
| ~ spl154_199
| ~ spl154_358 ),
inference(superposition,[],[f3130,f2167]) ).
fof(f3781,plain,
( ~ spl154_3
| spl154_396 ),
inference(avatar_split_clause,[],[f465,f3778,f1125]) ).
fof(f1125,plain,
( spl154_3
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_3])]) ).
fof(f465,plain,
( sP74
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
inference(nnf_transformation,[],[f137]) ).
fof(f3776,plain,
( spl154_283
| spl154_368
| spl154_131
| spl154_130
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_199
| ~ spl154_358 ),
inference(avatar_split_clause,[],[f3763,f3129,f2165,f1979,f1904,f1859,f1834,f1839,f3179,f2610]) ).
fof(f3763,plain,
( e1 = e3
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e1,e3)
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_199
| ~ spl154_358 ),
inference(forward_demodulation,[],[f3762,f1906]) ).
fof(f3762,plain,
( e1 = op(unit,e3)
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e1,e3)
| ~ spl154_135
| ~ spl154_160
| ~ spl154_199
| ~ spl154_358 ),
inference(forward_demodulation,[],[f3761,f1860]) ).
fof(f3761,plain,
( e1 = e4
| e1 = op(e4,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_199
| ~ spl154_358 ),
inference(duplicate_literal_removal,[],[f3760]) ).
fof(f3760,plain,
( e1 = e4
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_199
| ~ spl154_358 ),
inference(forward_demodulation,[],[f3759,f1981]) ).
fof(f3759,plain,
( e1 = op(e3,e3)
| e1 = e4
| e1 = op(e4,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_199
| ~ spl154_358 ),
inference(forward_demodulation,[],[f3758,f3750]) ).
fof(f3757,plain,
( spl154_283
| spl154_371
| spl154_131
| spl154_130
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_357 ),
inference(avatar_split_clause,[],[f3747,f3118,f1979,f1904,f1859,f1834,f1839,f3194,f2610]) ).
fof(f3118,plain,
( spl154_357
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_357])]) ).
fof(f3747,plain,
( e1 = e3
| e1 = e4
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl154_135
| ~ spl154_144
| ~ spl154_160
| ~ spl154_357 ),
inference(forward_demodulation,[],[f3746,f1906]) ).
fof(f3746,plain,
( e1 = op(unit,e3)
| e1 = e4
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| ~ spl154_135
| ~ spl154_160
| ~ spl154_357 ),
inference(forward_demodulation,[],[f3745,f1860]) ).
fof(f3745,plain,
( e1 = e4
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_357 ),
inference(duplicate_literal_removal,[],[f3744]) ).
fof(f3744,plain,
( e1 = e4
| e1 = e4
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_160
| ~ spl154_357 ),
inference(forward_demodulation,[],[f3743,f1981]) ).
fof(f3743,plain,
( e1 = e4
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| ~ spl154_357 ),
inference(forward_demodulation,[],[f928,f3120]) ).
fof(f3120,plain,
( e4 = op(e4,e3)
| ~ spl154_357 ),
inference(avatar_component_clause,[],[f3118]) ).
fof(f3742,plain,
( ~ spl154_166
| ~ spl154_149
| spl154_319 ),
inference(avatar_split_clause,[],[f2808,f2804,f1929,f2006]) ).
fof(f2006,plain,
( spl154_166
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_166])]) ).
fof(f2804,plain,
( spl154_319
<=> op(e3,e2) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_319])]) ).
fof(f2808,plain,
( e1 != op(e3,e3)
| ~ spl154_149
| spl154_319 ),
inference(forward_demodulation,[],[f2806,f1931]) ).
fof(f2806,plain,
( op(e3,e2) != op(e3,e3)
| spl154_319 ),
inference(avatar_component_clause,[],[f2804]) ).
fof(f3728,plain,
( spl154_134
| ~ spl154_160
| ~ spl154_162 ),
inference(avatar_split_clause,[],[f3718,f1988,f1979,f1854]) ).
fof(f1988,plain,
( spl154_162
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_162])]) ).
fof(f3718,plain,
( e3 = e4
| ~ spl154_160
| ~ spl154_162 ),
inference(superposition,[],[f1990,f1981]) ).
fof(f1990,plain,
( e3 = op(e3,e3)
| ~ spl154_162 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f3717,plain,
( spl154_359
| spl154_358
| spl154_162
| spl154_343
| spl154_130 ),
inference(avatar_split_clause,[],[f1099,f1834,f3050,f1988,f3129,f3134]) ).
fof(f1099,plain,
( e1 = e3
| e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(forward_demodulation,[],[f931,f1095]) ).
fof(f931,plain,
( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3710,plain,
( spl154_199
| spl154_339
| spl154_129
| spl154_133
| spl154_132
| ~ spl154_135
| ~ spl154_145
| ~ spl154_160 ),
inference(avatar_split_clause,[],[f3614,f1979,f1909,f1859,f1844,f1849,f1829,f3030,f2165]) ).
fof(f3614,plain,
( e2 = e3
| e2 = e4
| e1 = e2
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| ~ spl154_135
| ~ spl154_145
| ~ spl154_160 ),
inference(forward_demodulation,[],[f3613,f1911]) ).
fof(f3613,plain,
( e2 = op(e3,unit)
| e2 = e4
| e1 = e2
| e2 = op(e3,e4)
| e2 = op(e3,e1)
| ~ spl154_135
| ~ spl154_160 ),
inference(forward_demodulation,[],[f2982,f1860]) ).
fof(f3697,plain,
( spl154_345
| spl154_395
| spl154_134
| spl154_133
| ~ spl154_135
| ~ spl154_143
| ~ spl154_198 ),
inference(avatar_split_clause,[],[f3619,f2160,f1899,f1859,f1849,f1854,f3694,f3061]) ).
fof(f3619,plain,
( e2 = e4
| e3 = e4
| e4 = op(e2,e4)
| e4 = op(e2,e1)
| ~ spl154_135
| ~ spl154_143
| ~ spl154_198 ),
inference(duplicate_literal_removal,[],[f3618]) ).
fof(f3618,plain,
( e2 = e4
| e2 = e4
| e3 = e4
| e4 = op(e2,e4)
| e4 = op(e2,e1)
| ~ spl154_135
| ~ spl154_143
| ~ spl154_198 ),
inference(forward_demodulation,[],[f3617,f1901]) ).
fof(f3617,plain,
( e4 = op(e2,unit)
| e2 = e4
| e3 = e4
| e4 = op(e2,e4)
| e4 = op(e2,e1)
| ~ spl154_135
| ~ spl154_198 ),
inference(forward_demodulation,[],[f3616,f1860]) ).
fof(f3616,plain,
( e2 = e4
| e3 = e4
| e4 = op(e2,e4)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| ~ spl154_198 ),
inference(forward_demodulation,[],[f1103,f2162]) ).
fof(f1103,plain,
( e3 = e4
| e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(forward_demodulation,[],[f923,f893]) ).
fof(f923,plain,
( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3692,plain,
( ~ spl154_121
| ~ spl154_394
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3552,f1859,f3689,f1787]) ).
fof(f1787,plain,
( spl154_121
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_121])]) ).
fof(f3552,plain,
( op(e4,e1) != unit
| ~ sP21
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3551]) ).
fof(f3551,plain,
( unit != unit
| op(e4,e1) != unit
| ~ sP21
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1073,f1860]) ).
fof(f1073,plain,
( e0 != unit
| op(e4,e1) != unit
| ~ sP21 ),
inference(inner_rewriting,[],[f723]) ).
fof(f723,plain,
( e0 != unit
| e0 != op(e4,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1)
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f3687,plain,
( ~ spl154_96
| ~ spl154_393
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3544,f1859,f3684,f1649]) ).
fof(f1649,plain,
( spl154_96
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_96])]) ).
fof(f3544,plain,
( op(e3,e1) != unit
| ~ sP16
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3543]) ).
fof(f3543,plain,
( unit != unit
| op(e3,e1) != unit
| ~ sP16
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1078,f1860]) ).
fof(f1078,plain,
( e0 != unit
| op(e3,e1) != unit
| ~ sP16 ),
inference(inner_rewriting,[],[f733]) ).
fof(f733,plain,
( e0 != unit
| e0 != op(e3,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
( ( e0 != unit
& e1 = op(e3,e0) )
| e0 != op(e3,e1)
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f3682,plain,
( ~ spl154_86
| ~ spl154_392
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3540,f1859,f3679,f1588]) ).
fof(f1588,plain,
( spl154_86
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_86])]) ).
fof(f3540,plain,
( op(e2,e4) != unit
| ~ sP14
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3539]) ).
fof(f3539,plain,
( unit != unit
| op(e2,e4) != unit
| ~ sP14
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1080,f1860]) ).
fof(f1080,plain,
( e0 != unit
| op(e2,e4) != unit
| ~ sP14 ),
inference(inner_rewriting,[],[f737]) ).
fof(f737,plain,
( e0 != unit
| e0 != op(e2,e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4)
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f3677,plain,
( ~ spl154_71
| ~ spl154_391
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3534,f1859,f3674,f1502]) ).
fof(f1502,plain,
( spl154_71
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_71])]) ).
fof(f3534,plain,
( op(e2,e1) != unit
| ~ sP11
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3533]) ).
fof(f3533,plain,
( unit != unit
| op(e2,e1) != unit
| ~ sP11
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1083,f1860]) ).
fof(f1083,plain,
( e0 != unit
| op(e2,e1) != unit
| ~ sP11 ),
inference(inner_rewriting,[],[f743]) ).
fof(f743,plain,
( e0 != unit
| e0 != op(e2,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
( ( e0 != unit
& e1 = op(e2,e0) )
| e0 != op(e2,e1)
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f3671,plain,
( ~ spl154_61
| ~ spl154_390
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3531,f1859,f3668,f1443]) ).
fof(f1443,plain,
( spl154_61
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_61])]) ).
fof(f3531,plain,
( op(e1,e4) != unit
| ~ sP9
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3530]) ).
fof(f3530,plain,
( unit != unit
| op(e1,e4) != unit
| ~ sP9
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1085,f1860]) ).
fof(f1085,plain,
( e0 != unit
| op(e1,e4) != unit
| ~ sP9 ),
inference(inner_rewriting,[],[f747]) ).
fof(f747,plain,
( e0 != unit
| e0 != op(e1,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4)
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f3666,plain,
( ~ spl154_56
| ~ spl154_389
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3529,f1859,f3663,f1416]) ).
fof(f1416,plain,
( spl154_56
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_56])]) ).
fof(f3529,plain,
( op(e1,e3) != unit
| ~ sP8
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3528]) ).
fof(f3528,plain,
( unit != unit
| op(e1,e3) != unit
| ~ sP8
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1086,f1860]) ).
fof(f1086,plain,
( e0 != unit
| op(e1,e3) != unit
| ~ sP8 ),
inference(inner_rewriting,[],[f749]) ).
fof(f749,plain,
( e0 != unit
| e0 != op(e1,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
( ( e0 != unit
& e3 = op(e1,e0) )
| e0 != op(e1,e3)
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f3660,plain,
( ~ spl154_51
| ~ spl154_388
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f3525,f1859,f3657,f1390]) ).
fof(f1390,plain,
( spl154_51
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_51])]) ).
fof(f3525,plain,
( op(e1,e2) != unit
| ~ sP7
| ~ spl154_135 ),
inference(trivial_inequality_removal,[],[f3524]) ).
fof(f3524,plain,
( unit != unit
| op(e1,e2) != unit
| ~ sP7
| ~ spl154_135 ),
inference(forward_demodulation,[],[f1087,f1860]) ).
fof(f1087,plain,
( e0 != unit
| op(e1,e2) != unit
| ~ sP7 ),
inference(inner_rewriting,[],[f751]) ).
fof(f751,plain,
( e0 != unit
| e0 != op(e1,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2)
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f3655,plain,
( ~ spl154_369
| ~ spl154_152
| spl154_329 ),
inference(avatar_split_clause,[],[f2896,f2856,f1943,f3183]) ).
fof(f2856,plain,
( spl154_329
<=> op(e4,e1) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_329])]) ).
fof(f2896,plain,
( e3 != op(e4,e1)
| ~ spl154_152
| spl154_329 ),
inference(superposition,[],[f2858,f1945]) ).
fof(f2858,plain,
( op(e4,e1) != op(e4,e4)
| spl154_329 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f3648,plain,
( ~ spl154_141
| ~ spl154_135
| spl154_197 ),
inference(avatar_split_clause,[],[f3621,f2155,f1859,f1889]) ).
fof(f3621,plain,
( e1 != op(e1,unit)
| ~ spl154_135
| spl154_197 ),
inference(forward_demodulation,[],[f2156,f1860]) ).
fof(f2156,plain,
( e1 != op(e1,e0)
| spl154_197 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f3646,plain,
( ~ spl154_142
| ~ spl154_135
| spl154_384 ),
inference(avatar_split_clause,[],[f3615,f3449,f1859,f1894]) ).
fof(f3615,plain,
( e2 != op(unit,e2)
| ~ spl154_135
| spl154_384 ),
inference(forward_demodulation,[],[f3450,f1860]) ).
fof(f3450,plain,
( e2 != op(e0,e2)
| spl154_384 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f3645,plain,
( ~ spl154_387
| ~ spl154_135
| spl154_381 ),
inference(avatar_split_clause,[],[f3553,f3338,f1859,f3642]) ).
fof(f3553,plain,
( unit != op(e4,unit)
| ~ spl154_135
| spl154_381 ),
inference(forward_demodulation,[],[f3340,f1860]) ).
fof(f3569,plain,
( spl154_133
| ~ spl154_350
| ~ spl154_385 ),
inference(avatar_split_clause,[],[f3561,f3453,f3084,f1849]) ).
fof(f3561,plain,
( e2 = e4
| ~ spl154_350
| ~ spl154_385 ),
inference(forward_demodulation,[],[f3455,f3085]) ).
fof(f3554,plain,
( ~ spl154_146
| ~ spl154_135
| ~ spl154_142
| ~ spl154_383
| spl154_384 ),
inference(avatar_split_clause,[],[f3470,f3449,f3442,f1894,f1859,f1914]) ).
fof(f3470,plain,
( e4 != op(unit,e4)
| ~ spl154_135
| ~ spl154_142
| ~ spl154_383
| spl154_384 ),
inference(forward_demodulation,[],[f3466,f1860]) ).
fof(f3466,plain,
( e4 != op(e0,e4)
| ~ spl154_142
| ~ spl154_383
| spl154_384 ),
inference(forward_demodulation,[],[f3450,f3446]) ).
fof(f3479,plain,
( ~ spl154_135
| spl154_125
| ~ spl154_137 ),
inference(avatar_split_clause,[],[f3244,f1869,f1809,f1859]) ).
fof(f3244,plain,
( e0 != unit
| spl154_125
| ~ spl154_137 ),
inference(superposition,[],[f1811,f1870]) ).
fof(f1870,plain,
( e1 = unit
| ~ spl154_137 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f1811,plain,
( e0 != e1
| spl154_125 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f3478,plain,
( spl154_385
| spl154_252
| spl154_351
| spl154_126
| spl154_129
| ~ spl154_197 ),
inference(avatar_split_clause,[],[f2980,f2155,f1829,f1814,f3088,f2449,f3453]) ).
fof(f2980,plain,
( e1 = e2
| e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| ~ spl154_197 ),
inference(forward_demodulation,[],[f1113,f2157]) ).
fof(f1113,plain,
( e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0) ),
inference(forward_demodulation,[],[f909,f1097]) ).
fof(f909,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3469,plain,
( spl154_134
| ~ spl154_142
| ~ spl154_152
| ~ spl154_383
| ~ spl154_386 ),
inference(avatar_split_clause,[],[f3462,f3457,f3442,f1943,f1894,f1854]) ).
fof(f3462,plain,
( e3 = e4
| ~ spl154_142
| ~ spl154_152
| ~ spl154_383
| ~ spl154_386 ),
inference(forward_demodulation,[],[f3461,f1945]) ).
fof(f3461,plain,
( e4 = op(e4,e4)
| ~ spl154_142
| ~ spl154_383
| ~ spl154_386 ),
inference(forward_demodulation,[],[f3459,f3446]) ).
fof(f3460,plain,
( spl154_384
| spl154_385
| spl154_386
| spl154_129
| spl154_132 ),
inference(avatar_split_clause,[],[f1105,f1844,f1829,f3457,f3453,f3449]) ).
fof(f1105,plain,
( e2 = e3
| e1 = e2
| e2 = op(e4,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(forward_demodulation,[],[f1104,f893]) ).
fof(f1104,plain,
( e1 = e2
| e2 = op(e4,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(forward_demodulation,[],[f920,f1095]) ).
fof(f920,plain,
( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3445,plain,
( spl154_383
| ~ spl154_137
| ~ spl154_350 ),
inference(avatar_split_clause,[],[f3440,f3084,f1869,f3442]) ).
fof(f3440,plain,
( e4 = op(unit,e2)
| ~ spl154_137
| ~ spl154_350 ),
inference(forward_demodulation,[],[f3085,f1870]) ).
fof(f3439,plain,
( spl154_353
| spl154_350
| spl154_340
| spl154_131
| spl154_134 ),
inference(avatar_split_clause,[],[f1102,f1854,f1839,f3035,f3084,f3099]) ).
fof(f1102,plain,
( e3 = e4
| e1 = e4
| e4 = op(e4,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f1101,f893]) ).
fof(f1101,plain,
( e1 = e4
| e4 = op(e4,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f924,f1095]) ).
fof(f924,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3348,plain,
( spl154_135
| ~ spl154_137
| ~ spl154_140
| ~ spl154_150 ),
inference(avatar_split_clause,[],[f3291,f1934,f1884,f1869,f1859]) ).
fof(f3291,plain,
( e0 = unit
| ~ spl154_137
| ~ spl154_140
| ~ spl154_150 ),
inference(forward_demodulation,[],[f3247,f3245]) ).
fof(f3245,plain,
( unit = op(unit,unit)
| ~ spl154_137
| ~ spl154_140 ),
inference(superposition,[],[f1886,f1870]) ).
fof(f3247,plain,
( e0 = op(unit,unit)
| ~ spl154_137
| ~ spl154_150 ),
inference(superposition,[],[f1936,f1870]) ).
fof(f3347,plain,
( ~ spl154_95
| ~ spl154_382
| ~ spl154_137 ),
inference(avatar_split_clause,[],[f1050,f1869,f3344,f1643]) ).
fof(f1643,plain,
( spl154_95
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_95])]) ).
fof(f1050,plain,
( e1 != unit
| op(e3,e4) != unit
| ~ sP44 ),
inference(inner_rewriting,[],[f677]) ).
fof(f677,plain,
( e1 != unit
| e1 != op(e3,e4)
| ~ sP44 ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4)
| ~ sP44 ),
inference(nnf_transformation,[],[f54]) ).
fof(f3341,plain,
( ~ spl154_100
| ~ spl154_381
| ~ spl154_137 ),
inference(avatar_split_clause,[],[f1049,f1869,f3338,f1671]) ).
fof(f1671,plain,
( spl154_100
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_100])]) ).
fof(f1049,plain,
( e1 != unit
| op(e4,e0) != unit
| ~ sP45 ),
inference(inner_rewriting,[],[f675]) ).
fof(f675,plain,
( e1 != unit
| e1 != op(e4,e0)
| ~ sP45 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0)
| ~ sP45 ),
inference(nnf_transformation,[],[f55]) ).
fof(f3336,plain,
( ~ spl154_110
| ~ spl154_380
| ~ spl154_137 ),
inference(avatar_split_clause,[],[f1047,f1869,f3333,f1728]) ).
fof(f1728,plain,
( spl154_110
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_110])]) ).
fof(f1047,plain,
( e1 != unit
| op(e4,e2) != unit
| ~ sP47 ),
inference(inner_rewriting,[],[f671]) ).
fof(f671,plain,
( e1 != unit
| e1 != op(e4,e2)
| ~ sP47 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2)
| ~ sP47 ),
inference(nnf_transformation,[],[f57]) ).
fof(f3239,plain,
( spl154_135
| spl154_137
| spl154_334
| spl154_136
| spl154_333 ),
inference(avatar_split_clause,[],[f790,f2876,f1864,f2880,f1869,f1859]) ).
fof(f790,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f3238,plain,
( ~ spl154_26
| ~ spl154_379
| spl154_193 ),
inference(avatar_split_clause,[],[f760,f2136,f3235,f1241]) ).
fof(f1241,plain,
( spl154_26
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_26])]) ).
fof(f760,plain,
( op(e0,e0) = e2
| e0 != op(e0,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
( ( e0 != unit
& op(e0,e0) = e2 )
| e0 != op(e0,e2)
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f3233,plain,
( ~ spl154_31
| ~ spl154_378
| spl154_191 ),
inference(avatar_split_clause,[],[f758,f2127,f3230,f1269]) ).
fof(f758,plain,
( op(e0,e0) = e3
| e0 != op(e0,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f315]) ).
fof(f3228,plain,
( ~ spl154_36
| ~ spl154_377
| spl154_189 ),
inference(avatar_split_clause,[],[f756,f2118,f3225,f1296]) ).
fof(f756,plain,
( op(e0,e0) = e4
| e0 != op(e0,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f314]) ).
fof(f3222,plain,
( ~ spl154_81
| ~ spl154_376
| spl154_297 ),
inference(avatar_split_clause,[],[f738,f2685,f3219,f1559]) ).
fof(f738,plain,
( e3 = op(e2,e0)
| e0 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f305]) ).
fof(f3217,plain,
( ~ spl154_111
| ~ spl154_374
| spl154_375 ),
inference(avatar_split_clause,[],[f726,f3214,f3210,f1733]) ).
fof(f726,plain,
( e4 = op(e3,e0)
| e0 != op(e3,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f299]) ).
fof(f3207,plain,
( ~ spl154_372
| ~ spl154_373
| spl154_370 ),
inference(avatar_split_clause,[],[f718,f3189,f3204,f3200]) ).
fof(f3200,plain,
( spl154_372
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_372])]) ).
fof(f718,plain,
( e3 = op(e4,e0)
| e0 != op(e4,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3)
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f3197,plain,
( ~ spl154_65
| ~ spl154_371
| spl154_302 ),
inference(avatar_split_clause,[],[f688,f2712,f3194,f1465]) ).
fof(f1465,plain,
( spl154_65
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_65])]) ).
fof(f688,plain,
( e3 = op(e2,e1)
| e1 != op(e2,e3)
| ~ sP38 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3)
| ~ sP38 ),
inference(nnf_transformation,[],[f48]) ).
fof(f3192,plain,
( ~ spl154_370
| ~ spl154_152
| spl154_326 ),
inference(avatar_split_clause,[],[f2895,f2841,f1943,f3189]) ).
fof(f2841,plain,
( spl154_326
<=> op(e4,e0) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_326])]) ).
fof(f2895,plain,
( e3 != op(e4,e0)
| ~ spl154_152
| spl154_326 ),
inference(superposition,[],[f2843,f1945]) ).
fof(f2843,plain,
( op(e4,e0) != op(e4,e4)
| spl154_326 ),
inference(avatar_component_clause,[],[f2841]) ).
fof(f3186,plain,
( ~ spl154_115
| ~ spl154_368
| spl154_369 ),
inference(avatar_split_clause,[],[f668,f3183,f3179,f1755]) ).
fof(f1755,plain,
( spl154_115
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_115])]) ).
fof(f668,plain,
( e3 = op(e4,e1)
| e1 != op(e4,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3)
| ~ sP48 ),
inference(nnf_transformation,[],[f58]) ).
fof(f3177,plain,
( ~ spl154_17
| ~ spl154_367
| spl154_234 ),
inference(avatar_split_clause,[],[f662,f2352,f3174,f1194]) ).
fof(f1194,plain,
( spl154_17
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_17])]) ).
fof(f662,plain,
( e1 = op(e0,e2)
| e2 != op(e0,e1)
| ~ sP51 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1)
| ~ sP51 ),
inference(nnf_transformation,[],[f61]) ).
fof(f3171,plain,
( ~ spl154_37
| ~ spl154_366
| spl154_287 ),
inference(avatar_split_clause,[],[f654,f2632,f3168,f1301]) ).
fof(f1301,plain,
( spl154_37
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_37])]) ).
fof(f654,plain,
( e0 = op(e1,e2)
| e2 != op(e1,e0)
| ~ sP55 ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0)
| ~ sP55 ),
inference(nnf_transformation,[],[f65]) ).
fof(f3166,plain,
( ~ spl154_112
| ~ spl154_364
| spl154_365 ),
inference(avatar_split_clause,[],[f624,f3163,f3159,f1739]) ).
fof(f1739,plain,
( spl154_112
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_112])]) ).
fof(f624,plain,
( e0 = op(e4,e2)
| e2 != op(e4,e0)
| ~ sP70 ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0)
| ~ sP70 ),
inference(nnf_transformation,[],[f80]) ).
fof(f3157,plain,
( ~ spl154_117
| ~ spl154_363
| spl154_245 ),
inference(avatar_split_clause,[],[f622,f2412,f3154,f1765]) ).
fof(f1765,plain,
( spl154_117
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_117])]) ).
fof(f3154,plain,
( spl154_363
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_363])]) ).
fof(f622,plain,
( e1 = op(e4,e2)
| e2 != op(e4,e1)
| ~ sP71 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1)
| ~ sP71 ),
inference(nnf_transformation,[],[f81]) ).
fof(f3152,plain,
( ~ spl154_9
| ~ spl154_361
| spl154_362 ),
inference(avatar_split_clause,[],[f612,f3149,f3145,f1153]) ).
fof(f1153,plain,
( spl154_9
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_9])]) ).
fof(f612,plain,
( e1 = op(e0,e3)
| e3 != op(e0,e1)
| ~ sP76 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1)
| ~ sP76 ),
inference(nnf_transformation,[],[f86]) ).
fof(f3142,plain,
( ~ spl154_28
| ~ spl154_360
| spl154_289 ),
inference(avatar_split_clause,[],[f604,f2643,f3139,f1252]) ).
fof(f1252,plain,
( spl154_28
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_28])]) ).
fof(f604,plain,
( e0 = op(e1,e3)
| e3 != op(e1,e0)
| ~ sP80 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ( e3 != unit
& e0 = op(e1,e3) )
| e3 != op(e1,e0)
| ~ sP80 ),
inference(nnf_transformation,[],[f90]) ).
fof(f3137,plain,
( ~ spl154_78
| ~ spl154_359
| spl154_168 ),
inference(avatar_split_clause,[],[f584,f2015,f3134,f1542]) ).
fof(f1542,plain,
( spl154_78
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_78])]) ).
fof(f584,plain,
( e0 = op(e3,e3)
| e3 != op(e3,e0)
| ~ sP90 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ( e3 != unit
& e0 = op(e3,e3) )
| e3 != op(e3,e0)
| ~ sP90 ),
inference(nnf_transformation,[],[f100]) ).
fof(f3132,plain,
( ~ spl154_83
| ~ spl154_358
| spl154_166 ),
inference(avatar_split_clause,[],[f582,f2006,f3129,f1571]) ).
fof(f1571,plain,
( spl154_83
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_83])]) ).
fof(f582,plain,
( e1 = op(e3,e3)
| e3 != op(e3,e1)
| ~ sP91 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( e3 != unit
& e1 = op(e3,e3) )
| e3 != op(e3,e1)
| ~ sP91 ),
inference(nnf_transformation,[],[f101]) ).
fof(f3121,plain,
( ~ spl154_123
| ~ spl154_152
| spl154_357 ),
inference(avatar_split_clause,[],[f566,f3118,f1943,f1798]) ).
fof(f1798,plain,
( spl154_123
<=> sP99 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_123])]) ).
fof(f566,plain,
( e4 = op(e4,e3)
| e3 != op(e4,e4)
| ~ sP99 ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4)
| ~ sP99 ),
inference(nnf_transformation,[],[f109]) ).
fof(f3116,plain,
( ~ spl154_343
| ~ spl154_152
| spl154_268 ),
inference(avatar_split_clause,[],[f2894,f2531,f1943,f3050]) ).
fof(f2894,plain,
( e3 != op(e3,e4)
| ~ spl154_152
| spl154_268 ),
inference(superposition,[],[f2533,f1945]) ).
fof(f3115,plain,
( ~ spl154_15
| ~ spl154_355
| spl154_356 ),
inference(avatar_split_clause,[],[f562,f3112,f3108,f1184]) ).
fof(f562,plain,
( e1 = op(e0,e4)
| e4 != op(e0,e1)
| ~ sP101 ),
inference(cnf_transformation,[],[f217]) ).
fof(f3106,plain,
( ~ spl154_19
| ~ spl154_353
| spl154_354 ),
inference(avatar_split_clause,[],[f560,f3103,f3099,f1204]) ).
fof(f560,plain,
( e2 = op(e0,e4)
| e4 != op(e0,e2)
| ~ sP102 ),
inference(cnf_transformation,[],[f216]) ).
fof(f3096,plain,
( ~ spl154_34
| ~ spl154_352
| spl154_291 ),
inference(avatar_split_clause,[],[f554,f2654,f3093,f1285]) ).
fof(f1285,plain,
( spl154_34
<=> sP105 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_34])]) ).
fof(f554,plain,
( e0 = op(e1,e4)
| e4 != op(e1,e0)
| ~ sP105 ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0)
| ~ sP105 ),
inference(nnf_transformation,[],[f115]) ).
fof(f3091,plain,
( ~ spl154_44
| ~ spl154_350
| spl154_351 ),
inference(avatar_split_clause,[],[f550,f3088,f3084,f1343]) ).
fof(f1343,plain,
( spl154_44
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_44])]) ).
fof(f550,plain,
( e2 = op(e1,e4)
| e4 != op(e1,e2)
| ~ sP107 ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2)
| ~ sP107 ),
inference(nnf_transformation,[],[f117]) ).
fof(f3082,plain,
( ~ spl154_349
| ~ spl154_152
| spl154_265 ),
inference(avatar_split_clause,[],[f2893,f2516,f1943,f3079]) ).
fof(f2516,plain,
( spl154_265
<=> op(e1,e4) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_265])]) ).
fof(f2893,plain,
( e3 != op(e1,e4)
| ~ spl154_152
| spl154_265 ),
inference(superposition,[],[f2518,f1945]) ).
fof(f2518,plain,
( op(e1,e4) != op(e4,e4)
| spl154_265 ),
inference(avatar_component_clause,[],[f2516]) ).
fof(f3077,plain,
( ~ spl154_59
| ~ spl154_347
| spl154_348 ),
inference(avatar_split_clause,[],[f544,f3074,f3070,f1432]) ).
fof(f1432,plain,
( spl154_59
<=> sP110 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_59])]) ).
fof(f544,plain,
( e0 = op(e2,e4)
| e4 != op(e2,e0)
| ~ sP110 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0)
| ~ sP110 ),
inference(nnf_transformation,[],[f120]) ).
fof(f3068,plain,
( ~ spl154_64
| ~ spl154_345
| spl154_346 ),
inference(avatar_split_clause,[],[f542,f3065,f3061,f1458]) ).
fof(f1458,plain,
( spl154_64
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_64])]) ).
fof(f542,plain,
( e1 = op(e2,e4)
| e4 != op(e2,e1)
| ~ sP111 ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1)
| ~ sP111 ),
inference(nnf_transformation,[],[f121]) ).
fof(f3058,plain,
( ~ spl154_74
| ~ spl154_344
| spl154_308 ),
inference(avatar_split_clause,[],[f538,f2746,f3055,f1522]) ).
fof(f3055,plain,
( spl154_344
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_344])]) ).
fof(f538,plain,
( e3 = op(e2,e4)
| e4 != op(e2,e3)
| ~ sP113 ),
inference(cnf_transformation,[],[f205]) ).
fof(f3053,plain,
( ~ spl154_99
| ~ spl154_160
| spl154_343 ),
inference(avatar_split_clause,[],[f528,f3050,f1979,f1666]) ).
fof(f528,plain,
( e3 = op(e3,e4)
| e4 != op(e3,e3)
| ~ sP118 ),
inference(cnf_transformation,[],[f200]) ).
fof(f3048,plain,
( ~ spl154_109
| ~ spl154_342
| spl154_158 ),
inference(avatar_split_clause,[],[f524,f1970,f3045,f1722]) ).
fof(f524,plain,
( e0 = op(e4,e4)
| e4 != op(e4,e0)
| ~ sP120 ),
inference(cnf_transformation,[],[f198]) ).
fof(f3043,plain,
( ~ spl154_114
| ~ spl154_341
| spl154_156 ),
inference(avatar_split_clause,[],[f522,f1961,f3040,f1750]) ).
fof(f1750,plain,
( spl154_114
<=> sP121 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_114])]) ).
fof(f522,plain,
( e1 = op(e4,e4)
| e4 != op(e4,e1)
| ~ sP121 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e4 != unit
& e1 = op(e4,e4) )
| e4 != op(e4,e1)
| ~ sP121 ),
inference(nnf_transformation,[],[f131]) ).
fof(f3038,plain,
( ~ spl154_119
| ~ spl154_340
| spl154_154 ),
inference(avatar_split_clause,[],[f520,f1952,f3035,f1776]) ).
fof(f1776,plain,
( spl154_119
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_119])]) ).
fof(f520,plain,
( e2 = op(e4,e4)
| e4 != op(e4,e2)
| ~ sP122 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2)
| ~ sP122 ),
inference(nnf_transformation,[],[f132]) ).
fof(f3033,plain,
( ~ spl154_107
| ~ spl154_339
| spl154_131 ),
inference(avatar_split_clause,[],[f1737,f1839,f3030,f1711]) ).
fof(f1711,plain,
( spl154_107
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_107])]) ).
fof(f1737,plain,
( e1 = e4
| e2 != op(e3,e4)
| ~ sP69 ),
inference(forward_demodulation,[],[f626,f1095]) ).
fof(f626,plain,
( e4 = op(e3,e2)
| e2 != op(e3,e4)
| ~ sP69 ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4)
| ~ sP69 ),
inference(nnf_transformation,[],[f79]) ).
fof(f3028,plain,
( ~ spl154_87
| ~ spl154_338
| spl154_125 ),
inference(avatar_split_clause,[],[f1624,f1809,f3025,f1595]) ).
fof(f1595,plain,
( spl154_87
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_87])]) ).
fof(f1624,plain,
( e0 = e1
| e2 != op(e3,e0)
| ~ sP65 ),
inference(forward_demodulation,[],[f634,f1095]) ).
fof(f634,plain,
( e0 = op(e3,e2)
| e2 != op(e3,e0)
| ~ sP65 ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
( ( e2 != unit
& e0 = op(e3,e2) )
| e2 != op(e3,e0)
| ~ sP65 ),
inference(nnf_transformation,[],[f75]) ).
fof(f3022,plain,
spl154_337,
inference(avatar_split_clause,[],[f894,f3019]) ).
fof(f894,plain,
e4 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f3017,plain,
( ~ spl154_336
| ~ spl154_152
| spl154_262 ),
inference(avatar_split_clause,[],[f2892,f2501,f1943,f3014]) ).
fof(f2501,plain,
( spl154_262
<=> op(e0,e4) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_262])]) ).
fof(f2892,plain,
( e3 != op(e0,e4)
| ~ spl154_152
| spl154_262 ),
inference(superposition,[],[f2503,f1945]) ).
fof(f2503,plain,
( op(e0,e4) != op(e4,e4)
| spl154_262 ),
inference(avatar_component_clause,[],[f2501]) ).
fof(f3002,plain,
( ~ spl154_159
| spl154_152 ),
inference(avatar_split_clause,[],[f332,f1943,f1975]) ).
fof(f332,plain,
( e3 = op(e4,e4)
| ~ sP149 ),
inference(cnf_transformation,[],[f169]) ).
fof(f2993,plain,
( ~ spl154_159
| spl154_130
| ~ spl154_156 ),
inference(avatar_split_clause,[],[f2981,f1961,f1834,f1975]) ).
fof(f2981,plain,
( e1 = e3
| ~ sP149
| ~ spl154_156 ),
inference(forward_demodulation,[],[f332,f1963]) ).
fof(f2976,plain,
( ~ spl154_159
| spl154_130
| ~ spl154_154
| ~ spl154_156 ),
inference(avatar_split_clause,[],[f2946,f1961,f1952,f1834,f1975]) ).
fof(f2946,plain,
( e1 = e3
| ~ sP149
| ~ spl154_154
| ~ spl154_156 ),
inference(forward_demodulation,[],[f2945,f2922]) ).
fof(f2922,plain,
( e1 = e2
| ~ spl154_154
| ~ spl154_156 ),
inference(superposition,[],[f1963,f1954]) ).
fof(f2945,plain,
( e2 = e3
| ~ sP149
| ~ spl154_154 ),
inference(forward_demodulation,[],[f332,f1954]) ).
fof(f2948,plain,
( ~ spl154_159
| spl154_127
| ~ spl154_154
| ~ spl154_156
| ~ spl154_158 ),
inference(avatar_split_clause,[],[f2947,f1970,f1961,f1952,f1819,f1975]) ).
fof(f2947,plain,
( e0 = e3
| ~ sP149
| ~ spl154_154
| ~ spl154_156
| ~ spl154_158 ),
inference(forward_demodulation,[],[f2946,f2932]) ).
fof(f2932,plain,
( e0 = e1
| ~ spl154_156
| ~ spl154_158 ),
inference(superposition,[],[f1972,f1963]) ).
fof(f2944,plain,
( ~ spl154_157
| spl154_189 ),
inference(avatar_split_clause,[],[f329,f2118,f1966]) ).
fof(f329,plain,
( op(e0,e0) = e4
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP150 ),
inference(nnf_transformation,[],[f160]) ).
fof(f2912,plain,
( ~ spl154_155
| spl154_128
| ~ spl154_150 ),
inference(avatar_split_clause,[],[f2910,f1934,f1824,f1957]) ).
fof(f2910,plain,
( e0 = e4
| ~ sP151
| ~ spl154_150 ),
inference(forward_demodulation,[],[f326,f1936]) ).
fof(f326,plain,
( e4 = op(e1,e1)
| ~ sP151 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP151 ),
inference(nnf_transformation,[],[f161]) ).
fof(f2909,plain,
( ~ spl154_153
| spl154_134
| ~ spl154_148 ),
inference(avatar_split_clause,[],[f2900,f1924,f1854,f1948]) ).
fof(f2900,plain,
( e3 = e4
| ~ sP152
| ~ spl154_148 ),
inference(forward_demodulation,[],[f323,f1926]) ).
fof(f323,plain,
( e4 = op(e2,e2)
| ~ sP152 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP152 ),
inference(nnf_transformation,[],[f162]) ).
fof(f2903,plain,
( spl154_132
| ~ spl154_152
| ~ spl154_154 ),
inference(avatar_split_clause,[],[f2902,f1952,f1943,f1844]) ).
fof(f2902,plain,
( e2 = e3
| ~ spl154_152
| ~ spl154_154 ),
inference(forward_demodulation,[],[f1954,f1945]) ).
fof(f2899,plain,
( ~ spl154_151
| spl154_160 ),
inference(avatar_split_clause,[],[f320,f1979,f1939]) ).
fof(f320,plain,
( e4 = op(e3,e3)
| ~ sP153 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP153 ),
inference(nnf_transformation,[],[f163]) ).
fof(f2888,plain,
( spl154_195
| spl154_194
| spl154_192
| spl154_190
| spl154_188
| spl154_186
| spl154_184
| spl154_182
| spl154_180
| spl154_178
| spl154_176
| spl154_174
| spl154_172
| spl154_171
| spl154_169
| spl154_167
| spl154_165
| spl154_163
| spl154_161
| spl154_159
| spl154_157
| spl154_155
| spl154_153
| spl154_151
| spl154_335 ),
inference(avatar_split_clause,[],[f768,f2885,f1939,f1948,f1957,f1966,f1975,f1984,f1993,f2002,f2011,f2020,f2030,f2035,f2045,f2055,f2065,f2075,f2085,f2095,f2105,f2114,f2123,f2132,f2141,f2146]) ).
fof(f768,plain,
( e4 = op(e4,e4)
| sP153
| sP152
| sP151
| sP150
| sP149
| sP148
| sP147
| sP146
| sP145
| sP144
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130 ),
inference(cnf_transformation,[],[f164]) ).
fof(f2883,plain,
( ~ spl154_79
| ~ spl154_333
| ~ spl154_334 ),
inference(avatar_split_clause,[],[f1575,f2880,f2876,f1547]) ).
fof(f1547,plain,
( spl154_79
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_79])]) ).
fof(f1575,plain,
( e2 != unit
| e4 != unit
| ~ sP114 ),
inference(forward_demodulation,[],[f980,f785]) ).
fof(f785,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f980,plain,
( e4 != unit
| unit != op(e2,unit)
| ~ sP114 ),
inference(inner_rewriting,[],[f537]) ).
fof(f537,plain,
( e4 != unit
| e4 != op(e2,e4)
| ~ sP114 ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4)
| ~ sP114 ),
inference(nnf_transformation,[],[f124]) ).
fof(f2874,plain,
~ spl154_332,
inference(avatar_split_clause,[],[f890,f2871]) ).
fof(f2871,plain,
( spl154_332
<=> op(e4,e3) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_332])]) ).
fof(f890,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2869,plain,
~ spl154_331,
inference(avatar_split_clause,[],[f889,f2866]) ).
fof(f2866,plain,
( spl154_331
<=> op(e4,e2) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_331])]) ).
fof(f889,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2864,plain,
~ spl154_330,
inference(avatar_split_clause,[],[f888,f2861]) ).
fof(f2861,plain,
( spl154_330
<=> op(e4,e2) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_330])]) ).
fof(f888,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2859,plain,
~ spl154_329,
inference(avatar_split_clause,[],[f887,f2856]) ).
fof(f887,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2854,plain,
~ spl154_328,
inference(avatar_split_clause,[],[f886,f2851]) ).
fof(f2851,plain,
( spl154_328
<=> op(e4,e1) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_328])]) ).
fof(f886,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2849,plain,
~ spl154_327,
inference(avatar_split_clause,[],[f885,f2846]) ).
fof(f2846,plain,
( spl154_327
<=> op(e4,e1) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_327])]) ).
fof(f885,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2844,plain,
~ spl154_326,
inference(avatar_split_clause,[],[f884,f2841]) ).
fof(f884,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2839,plain,
~ spl154_325,
inference(avatar_split_clause,[],[f883,f2836]) ).
fof(f2836,plain,
( spl154_325
<=> op(e4,e0) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_325])]) ).
fof(f883,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2834,plain,
~ spl154_324,
inference(avatar_split_clause,[],[f882,f2831]) ).
fof(f2831,plain,
( spl154_324
<=> op(e4,e0) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_324])]) ).
fof(f882,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2829,plain,
~ spl154_323,
inference(avatar_split_clause,[],[f881,f2826]) ).
fof(f2826,plain,
( spl154_323
<=> op(e4,e0) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_323])]) ).
fof(f881,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2824,plain,
~ spl154_322,
inference(avatar_split_clause,[],[f880,f2821]) ).
fof(f2821,plain,
( spl154_322
<=> op(e3,e3) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_322])]) ).
fof(f880,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2819,plain,
( ~ spl154_321
| ~ spl154_149
| spl154_320 ),
inference(avatar_split_clause,[],[f2814,f2810,f1929,f2816]) ).
fof(f2810,plain,
( spl154_320
<=> op(e3,e2) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_320])]) ).
fof(f2814,plain,
( e1 != op(e3,e4)
| ~ spl154_149
| spl154_320 ),
inference(forward_demodulation,[],[f2812,f1931]) ).
fof(f2812,plain,
( op(e3,e2) != op(e3,e4)
| spl154_320 ),
inference(avatar_component_clause,[],[f2810]) ).
fof(f2813,plain,
~ spl154_320,
inference(avatar_split_clause,[],[f879,f2810]) ).
fof(f879,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2807,plain,
~ spl154_319,
inference(avatar_split_clause,[],[f878,f2804]) ).
fof(f878,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2802,plain,
~ spl154_318,
inference(avatar_split_clause,[],[f877,f2799]) ).
fof(f2799,plain,
( spl154_318
<=> op(e3,e1) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_318])]) ).
fof(f877,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2797,plain,
~ spl154_317,
inference(avatar_split_clause,[],[f876,f2794]) ).
fof(f876,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2792,plain,
( ~ spl154_316
| ~ spl154_149
| spl154_315 ),
inference(avatar_split_clause,[],[f2787,f2783,f1929,f2789]) ).
fof(f2783,plain,
( spl154_315
<=> op(e3,e1) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_315])]) ).
fof(f2787,plain,
( e1 != op(e3,e1)
| ~ spl154_149
| spl154_315 ),
inference(forward_demodulation,[],[f2785,f1931]) ).
fof(f2785,plain,
( op(e3,e1) != op(e3,e2)
| spl154_315 ),
inference(avatar_component_clause,[],[f2783]) ).
fof(f2786,plain,
~ spl154_315,
inference(avatar_split_clause,[],[f875,f2783]) ).
fof(f875,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2781,plain,
~ spl154_314,
inference(avatar_split_clause,[],[f874,f2778]) ).
fof(f2778,plain,
( spl154_314
<=> op(e3,e0) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_314])]) ).
fof(f874,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2776,plain,
~ spl154_313,
inference(avatar_split_clause,[],[f873,f2773]) ).
fof(f2773,plain,
( spl154_313
<=> op(e3,e0) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_313])]) ).
fof(f873,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2770,plain,
~ spl154_312,
inference(avatar_split_clause,[],[f872,f2767]) ).
fof(f2767,plain,
( spl154_312
<=> op(e3,e0) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_312])]) ).
fof(f872,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2765,plain,
~ spl154_311,
inference(avatar_split_clause,[],[f871,f2762]) ).
fof(f2762,plain,
( spl154_311
<=> op(e3,e0) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_311])]) ).
fof(f871,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2760,plain,
( ~ spl154_310
| ~ spl154_198
| spl154_309 ),
inference(avatar_split_clause,[],[f2755,f2751,f2160,f2757]) ).
fof(f2757,plain,
( spl154_310
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_310])]) ).
fof(f2755,plain,
( e2 != op(e2,e4)
| ~ spl154_198
| spl154_309 ),
inference(forward_demodulation,[],[f2753,f2162]) ).
fof(f2754,plain,
~ spl154_309,
inference(avatar_split_clause,[],[f870,f2751]) ).
fof(f870,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2749,plain,
( ~ spl154_308
| ~ spl154_148
| spl154_307 ),
inference(avatar_split_clause,[],[f2744,f2740,f1924,f2746]) ).
fof(f2740,plain,
( spl154_307
<=> op(e2,e2) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_307])]) ).
fof(f2744,plain,
( e3 != op(e2,e4)
| ~ spl154_148
| spl154_307 ),
inference(forward_demodulation,[],[f2742,f1926]) ).
fof(f2742,plain,
( op(e2,e2) != op(e2,e4)
| spl154_307 ),
inference(avatar_component_clause,[],[f2740]) ).
fof(f2743,plain,
~ spl154_307,
inference(avatar_split_clause,[],[f869,f2740]) ).
fof(f869,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2736,plain,
~ spl154_306,
inference(avatar_split_clause,[],[f868,f2733]) ).
fof(f2733,plain,
( spl154_306
<=> op(e2,e2) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_306])]) ).
fof(f868,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2731,plain,
~ spl154_305,
inference(avatar_split_clause,[],[f867,f2728]) ).
fof(f2728,plain,
( spl154_305
<=> op(e2,e1) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_305])]) ).
fof(f867,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2726,plain,
( ~ spl154_304
| ~ spl154_198
| spl154_303 ),
inference(avatar_split_clause,[],[f2721,f2717,f2160,f2723]) ).
fof(f2723,plain,
( spl154_304
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_304])]) ).
fof(f2717,plain,
( spl154_303
<=> op(e2,e1) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_303])]) ).
fof(f2721,plain,
( e2 != op(e2,e1)
| ~ spl154_198
| spl154_303 ),
inference(forward_demodulation,[],[f2719,f2162]) ).
fof(f2719,plain,
( op(e2,e1) != op(e2,e3)
| spl154_303 ),
inference(avatar_component_clause,[],[f2717]) ).
fof(f2720,plain,
~ spl154_303,
inference(avatar_split_clause,[],[f866,f2717]) ).
fof(f866,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2715,plain,
( ~ spl154_302
| ~ spl154_148
| spl154_301 ),
inference(avatar_split_clause,[],[f2710,f2706,f1924,f2712]) ).
fof(f2706,plain,
( spl154_301
<=> op(e2,e1) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_301])]) ).
fof(f2710,plain,
( e3 != op(e2,e1)
| ~ spl154_148
| spl154_301 ),
inference(forward_demodulation,[],[f2708,f1926]) ).
fof(f2708,plain,
( op(e2,e1) != op(e2,e2)
| spl154_301 ),
inference(avatar_component_clause,[],[f2706]) ).
fof(f2709,plain,
~ spl154_301,
inference(avatar_split_clause,[],[f865,f2706]) ).
fof(f865,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2704,plain,
~ spl154_300,
inference(avatar_split_clause,[],[f864,f2701]) ).
fof(f2701,plain,
( spl154_300
<=> op(e2,e0) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_300])]) ).
fof(f864,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2699,plain,
( ~ spl154_299
| ~ spl154_198
| spl154_298 ),
inference(avatar_split_clause,[],[f2694,f2690,f2160,f2696]) ).
fof(f2694,plain,
( e2 != op(e2,e0)
| ~ spl154_198
| spl154_298 ),
inference(forward_demodulation,[],[f2692,f2162]) ).
fof(f2693,plain,
~ spl154_298,
inference(avatar_split_clause,[],[f863,f2690]) ).
fof(f863,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2688,plain,
( ~ spl154_297
| ~ spl154_148
| spl154_296 ),
inference(avatar_split_clause,[],[f2683,f2679,f1924,f2685]) ).
fof(f2679,plain,
( spl154_296
<=> op(e2,e0) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_296])]) ).
fof(f2683,plain,
( e3 != op(e2,e0)
| ~ spl154_148
| spl154_296 ),
inference(forward_demodulation,[],[f2681,f1926]) ).
fof(f2681,plain,
( op(e2,e0) != op(e2,e2)
| spl154_296 ),
inference(avatar_component_clause,[],[f2679]) ).
fof(f2682,plain,
~ spl154_296,
inference(avatar_split_clause,[],[f862,f2679]) ).
fof(f862,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2677,plain,
~ spl154_295,
inference(avatar_split_clause,[],[f861,f2674]) ).
fof(f861,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2672,plain,
~ spl154_294,
inference(avatar_split_clause,[],[f860,f2669]) ).
fof(f2669,plain,
( spl154_294
<=> op(e1,e3) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_294])]) ).
fof(f860,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2667,plain,
~ spl154_293,
inference(avatar_split_clause,[],[f859,f2664]) ).
fof(f2664,plain,
( spl154_293
<=> op(e1,e2) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_293])]) ).
fof(f859,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2662,plain,
~ spl154_292,
inference(avatar_split_clause,[],[f858,f2659]) ).
fof(f2659,plain,
( spl154_292
<=> op(e1,e2) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_292])]) ).
fof(f858,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2657,plain,
( ~ spl154_291
| ~ spl154_150
| spl154_290 ),
inference(avatar_split_clause,[],[f2652,f2648,f1934,f2654]) ).
fof(f2648,plain,
( spl154_290
<=> op(e1,e1) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_290])]) ).
fof(f2652,plain,
( e0 != op(e1,e4)
| ~ spl154_150
| spl154_290 ),
inference(forward_demodulation,[],[f2650,f1936]) ).
fof(f2650,plain,
( op(e1,e1) != op(e1,e4)
| spl154_290 ),
inference(avatar_component_clause,[],[f2648]) ).
fof(f2651,plain,
~ spl154_290,
inference(avatar_split_clause,[],[f857,f2648]) ).
fof(f857,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2646,plain,
( ~ spl154_289
| ~ spl154_150
| spl154_288 ),
inference(avatar_split_clause,[],[f2641,f2637,f1934,f2643]) ).
fof(f2637,plain,
( spl154_288
<=> op(e1,e1) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_288])]) ).
fof(f2641,plain,
( e0 != op(e1,e3)
| ~ spl154_150
| spl154_288 ),
inference(forward_demodulation,[],[f2639,f1936]) ).
fof(f2639,plain,
( op(e1,e1) != op(e1,e3)
| spl154_288 ),
inference(avatar_component_clause,[],[f2637]) ).
fof(f2640,plain,
~ spl154_288,
inference(avatar_split_clause,[],[f856,f2637]) ).
fof(f856,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2635,plain,
( ~ spl154_287
| ~ spl154_150
| spl154_286 ),
inference(avatar_split_clause,[],[f2630,f2626,f1934,f2632]) ).
fof(f2626,plain,
( spl154_286
<=> op(e1,e1) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_286])]) ).
fof(f2630,plain,
( e0 != op(e1,e2)
| ~ spl154_150
| spl154_286 ),
inference(forward_demodulation,[],[f2628,f1936]) ).
fof(f2628,plain,
( op(e1,e1) != op(e1,e2)
| spl154_286 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f2629,plain,
~ spl154_286,
inference(avatar_split_clause,[],[f855,f2626]) ).
fof(f855,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2624,plain,
( ~ spl154_285
| ~ spl154_197
| spl154_284 ),
inference(avatar_split_clause,[],[f2619,f2615,f2155,f2621]) ).
fof(f2619,plain,
( e1 != op(e1,e4)
| ~ spl154_197
| spl154_284 ),
inference(forward_demodulation,[],[f2617,f2157]) ).
fof(f2618,plain,
~ spl154_284,
inference(avatar_split_clause,[],[f854,f2615]) ).
fof(f854,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2613,plain,
( ~ spl154_283
| ~ spl154_197
| spl154_282 ),
inference(avatar_split_clause,[],[f2608,f2604,f2155,f2610]) ).
fof(f2608,plain,
( e1 != op(e1,e3)
| ~ spl154_197
| spl154_282 ),
inference(forward_demodulation,[],[f2606,f2157]) ).
fof(f2607,plain,
~ spl154_282,
inference(avatar_split_clause,[],[f853,f2604]) ).
fof(f853,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2601,plain,
~ spl154_281,
inference(avatar_split_clause,[],[f852,f2598]) ).
fof(f852,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2595,plain,
( ~ spl154_280
| ~ spl154_150
| spl154_279 ),
inference(avatar_split_clause,[],[f2590,f2586,f1934,f2592]) ).
fof(f2586,plain,
( spl154_279
<=> op(e1,e0) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_279])]) ).
fof(f2590,plain,
( e0 != op(e1,e0)
| ~ spl154_150
| spl154_279 ),
inference(forward_demodulation,[],[f2588,f1936]) ).
fof(f2588,plain,
( op(e1,e0) != op(e1,e1)
| spl154_279 ),
inference(avatar_component_clause,[],[f2586]) ).
fof(f2589,plain,
~ spl154_279,
inference(avatar_split_clause,[],[f851,f2586]) ).
fof(f851,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2584,plain,
~ spl154_278,
inference(avatar_split_clause,[],[f850,f2581]) ).
fof(f2581,plain,
( spl154_278
<=> op(e0,e3) = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_278])]) ).
fof(f850,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2579,plain,
~ spl154_277,
inference(avatar_split_clause,[],[f849,f2576]) ).
fof(f2576,plain,
( spl154_277
<=> op(e0,e2) = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_277])]) ).
fof(f849,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2574,plain,
~ spl154_276,
inference(avatar_split_clause,[],[f848,f2571]) ).
fof(f2571,plain,
( spl154_276
<=> op(e0,e2) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_276])]) ).
fof(f848,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2569,plain,
~ spl154_275,
inference(avatar_split_clause,[],[f847,f2566]) ).
fof(f2566,plain,
( spl154_275
<=> op(e0,e1) = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_275])]) ).
fof(f847,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2564,plain,
~ spl154_274,
inference(avatar_split_clause,[],[f846,f2561]) ).
fof(f2561,plain,
( spl154_274
<=> op(e0,e1) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_274])]) ).
fof(f846,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2559,plain,
~ spl154_273,
inference(avatar_split_clause,[],[f845,f2556]) ).
fof(f2556,plain,
( spl154_273
<=> op(e0,e1) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_273])]) ).
fof(f845,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2554,plain,
~ spl154_272,
inference(avatar_split_clause,[],[f844,f2551]) ).
fof(f2551,plain,
( spl154_272
<=> op(e0,e0) = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_272])]) ).
fof(f844,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2549,plain,
~ spl154_271,
inference(avatar_split_clause,[],[f843,f2546]) ).
fof(f2546,plain,
( spl154_271
<=> op(e0,e0) = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_271])]) ).
fof(f843,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2544,plain,
~ spl154_270,
inference(avatar_split_clause,[],[f842,f2541]) ).
fof(f2541,plain,
( spl154_270
<=> op(e0,e0) = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_270])]) ).
fof(f842,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2539,plain,
~ spl154_269,
inference(avatar_split_clause,[],[f841,f2536]) ).
fof(f2536,plain,
( spl154_269
<=> op(e0,e0) = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_269])]) ).
fof(f841,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2534,plain,
~ spl154_268,
inference(avatar_split_clause,[],[f840,f2531]) ).
fof(f840,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2529,plain,
~ spl154_267,
inference(avatar_split_clause,[],[f839,f2526]) ).
fof(f2526,plain,
( spl154_267
<=> op(e2,e4) = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_267])]) ).
fof(f839,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2524,plain,
~ spl154_266,
inference(avatar_split_clause,[],[f838,f2521]) ).
fof(f2521,plain,
( spl154_266
<=> op(e2,e4) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_266])]) ).
fof(f838,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2519,plain,
~ spl154_265,
inference(avatar_split_clause,[],[f837,f2516]) ).
fof(f837,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2514,plain,
~ spl154_264,
inference(avatar_split_clause,[],[f836,f2511]) ).
fof(f2511,plain,
( spl154_264
<=> op(e1,e4) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_264])]) ).
fof(f836,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2509,plain,
~ spl154_263,
inference(avatar_split_clause,[],[f835,f2506]) ).
fof(f2506,plain,
( spl154_263
<=> op(e1,e4) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_263])]) ).
fof(f835,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2504,plain,
~ spl154_262,
inference(avatar_split_clause,[],[f834,f2501]) ).
fof(f834,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2499,plain,
~ spl154_261,
inference(avatar_split_clause,[],[f833,f2496]) ).
fof(f2496,plain,
( spl154_261
<=> op(e0,e4) = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_261])]) ).
fof(f833,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2494,plain,
~ spl154_260,
inference(avatar_split_clause,[],[f832,f2491]) ).
fof(f2491,plain,
( spl154_260
<=> op(e0,e4) = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_260])]) ).
fof(f832,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2489,plain,
~ spl154_259,
inference(avatar_split_clause,[],[f831,f2486]) ).
fof(f2486,plain,
( spl154_259
<=> op(e0,e4) = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_259])]) ).
fof(f831,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2484,plain,
~ spl154_258,
inference(avatar_split_clause,[],[f830,f2481]) ).
fof(f2481,plain,
( spl154_258
<=> op(e3,e3) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_258])]) ).
fof(f830,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2479,plain,
( ~ spl154_257
| ~ spl154_198
| spl154_256 ),
inference(avatar_split_clause,[],[f2474,f2470,f2160,f2476]) ).
fof(f2470,plain,
( spl154_256
<=> op(e2,e3) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_256])]) ).
fof(f2474,plain,
( e2 != op(e4,e3)
| ~ spl154_198
| spl154_256 ),
inference(forward_demodulation,[],[f2472,f2162]) ).
fof(f2472,plain,
( op(e2,e3) != op(e4,e3)
| spl154_256 ),
inference(avatar_component_clause,[],[f2470]) ).
fof(f2473,plain,
~ spl154_256,
inference(avatar_split_clause,[],[f829,f2470]) ).
fof(f829,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2467,plain,
~ spl154_255,
inference(avatar_split_clause,[],[f828,f2464]) ).
fof(f2464,plain,
( spl154_255
<=> op(e2,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_255])]) ).
fof(f828,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2462,plain,
~ spl154_254,
inference(avatar_split_clause,[],[f827,f2459]) ).
fof(f827,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2457,plain,
~ spl154_253,
inference(avatar_split_clause,[],[f826,f2454]) ).
fof(f826,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2452,plain,
( ~ spl154_252
| ~ spl154_198
| spl154_251 ),
inference(avatar_split_clause,[],[f2447,f2443,f2160,f2449]) ).
fof(f2443,plain,
( spl154_251
<=> op(e1,e3) = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_251])]) ).
fof(f2447,plain,
( e2 != op(e1,e3)
| ~ spl154_198
| spl154_251 ),
inference(forward_demodulation,[],[f2445,f2162]) ).
fof(f2445,plain,
( op(e1,e3) != op(e2,e3)
| spl154_251 ),
inference(avatar_component_clause,[],[f2443]) ).
fof(f2446,plain,
~ spl154_251,
inference(avatar_split_clause,[],[f825,f2443]) ).
fof(f825,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2441,plain,
~ spl154_250,
inference(avatar_split_clause,[],[f824,f2438]) ).
fof(f2438,plain,
( spl154_250
<=> op(e0,e3) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_250])]) ).
fof(f824,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2436,plain,
~ spl154_249,
inference(avatar_split_clause,[],[f823,f2433]) ).
fof(f2433,plain,
( spl154_249
<=> op(e0,e3) = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_249])]) ).
fof(f823,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2431,plain,
( ~ spl154_248
| ~ spl154_198
| spl154_247 ),
inference(avatar_split_clause,[],[f2426,f2422,f2160,f2428]) ).
fof(f2426,plain,
( e2 != op(e0,e3)
| ~ spl154_198
| spl154_247 ),
inference(forward_demodulation,[],[f2424,f2162]) ).
fof(f2425,plain,
~ spl154_247,
inference(avatar_split_clause,[],[f822,f2422]) ).
fof(f822,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2420,plain,
~ spl154_246,
inference(avatar_split_clause,[],[f821,f2417]) ).
fof(f2417,plain,
( spl154_246
<=> op(e0,e3) = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_246])]) ).
fof(f821,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2415,plain,
( ~ spl154_245
| ~ spl154_149
| spl154_244 ),
inference(avatar_split_clause,[],[f2410,f2406,f1929,f2412]) ).
fof(f2406,plain,
( spl154_244
<=> op(e3,e2) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_244])]) ).
fof(f2410,plain,
( e1 != op(e4,e2)
| ~ spl154_149
| spl154_244 ),
inference(forward_demodulation,[],[f2408,f1931]) ).
fof(f2408,plain,
( op(e3,e2) != op(e4,e2)
| spl154_244 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f2409,plain,
~ spl154_244,
inference(avatar_split_clause,[],[f820,f2406]) ).
fof(f820,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2404,plain,
( ~ spl154_243
| ~ spl154_148
| spl154_242 ),
inference(avatar_split_clause,[],[f2399,f2395,f1924,f2401]) ).
fof(f2401,plain,
( spl154_243
<=> e3 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_243])]) ).
fof(f2395,plain,
( spl154_242
<=> op(e2,e2) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_242])]) ).
fof(f2399,plain,
( e3 != op(e4,e2)
| ~ spl154_148
| spl154_242 ),
inference(forward_demodulation,[],[f2397,f1926]) ).
fof(f2397,plain,
( op(e2,e2) != op(e4,e2)
| spl154_242 ),
inference(avatar_component_clause,[],[f2395]) ).
fof(f2398,plain,
~ spl154_242,
inference(avatar_split_clause,[],[f819,f2395]) ).
fof(f819,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2392,plain,
~ spl154_241,
inference(avatar_split_clause,[],[f818,f2389]) ).
fof(f818,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2387,plain,
~ spl154_240,
inference(avatar_split_clause,[],[f817,f2384]) ).
fof(f2384,plain,
( spl154_240
<=> op(e1,e2) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_240])]) ).
fof(f817,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2382,plain,
( ~ spl154_239
| ~ spl154_149
| spl154_238 ),
inference(avatar_split_clause,[],[f2377,f2373,f1929,f2379]) ).
fof(f2373,plain,
( spl154_238
<=> op(e1,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_238])]) ).
fof(f2377,plain,
( e1 != op(e1,e2)
| ~ spl154_149
| spl154_238 ),
inference(forward_demodulation,[],[f2375,f1931]) ).
fof(f2375,plain,
( op(e1,e2) != op(e3,e2)
| spl154_238 ),
inference(avatar_component_clause,[],[f2373]) ).
fof(f2376,plain,
~ spl154_238,
inference(avatar_split_clause,[],[f816,f2373]) ).
fof(f816,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2371,plain,
( ~ spl154_237
| ~ spl154_148
| spl154_236 ),
inference(avatar_split_clause,[],[f2366,f2362,f1924,f2368]) ).
fof(f2362,plain,
( spl154_236
<=> op(e1,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_236])]) ).
fof(f2366,plain,
( e3 != op(e1,e2)
| ~ spl154_148
| spl154_236 ),
inference(forward_demodulation,[],[f2364,f1926]) ).
fof(f2364,plain,
( op(e1,e2) != op(e2,e2)
| spl154_236 ),
inference(avatar_component_clause,[],[f2362]) ).
fof(f2365,plain,
~ spl154_236,
inference(avatar_split_clause,[],[f815,f2362]) ).
fof(f815,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2360,plain,
~ spl154_235,
inference(avatar_split_clause,[],[f814,f2357]) ).
fof(f2357,plain,
( spl154_235
<=> op(e0,e2) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_235])]) ).
fof(f814,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2355,plain,
( ~ spl154_234
| ~ spl154_149
| spl154_233 ),
inference(avatar_split_clause,[],[f2350,f2346,f1929,f2352]) ).
fof(f2346,plain,
( spl154_233
<=> op(e0,e2) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_233])]) ).
fof(f2350,plain,
( e1 != op(e0,e2)
| ~ spl154_149
| spl154_233 ),
inference(forward_demodulation,[],[f2348,f1931]) ).
fof(f2348,plain,
( op(e0,e2) != op(e3,e2)
| spl154_233 ),
inference(avatar_component_clause,[],[f2346]) ).
fof(f2349,plain,
~ spl154_233,
inference(avatar_split_clause,[],[f813,f2346]) ).
fof(f813,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2344,plain,
( ~ spl154_232
| ~ spl154_148
| spl154_231 ),
inference(avatar_split_clause,[],[f2339,f2335,f1924,f2341]) ).
fof(f2335,plain,
( spl154_231
<=> op(e0,e2) = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_231])]) ).
fof(f2339,plain,
( e3 != op(e0,e2)
| ~ spl154_148
| spl154_231 ),
inference(forward_demodulation,[],[f2337,f1926]) ).
fof(f2337,plain,
( op(e0,e2) != op(e2,e2)
| spl154_231 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f2338,plain,
~ spl154_231,
inference(avatar_split_clause,[],[f812,f2335]) ).
fof(f812,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2333,plain,
~ spl154_230,
inference(avatar_split_clause,[],[f811,f2330]) ).
fof(f2330,plain,
( spl154_230
<=> op(e0,e2) = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_230])]) ).
fof(f811,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2328,plain,
~ spl154_229,
inference(avatar_split_clause,[],[f810,f2325]) ).
fof(f2325,plain,
( spl154_229
<=> op(e3,e1) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_229])]) ).
fof(f810,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2323,plain,
~ spl154_228,
inference(avatar_split_clause,[],[f809,f2320]) ).
fof(f2320,plain,
( spl154_228
<=> op(e2,e1) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_228])]) ).
fof(f809,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2318,plain,
~ spl154_227,
inference(avatar_split_clause,[],[f808,f2315]) ).
fof(f2315,plain,
( spl154_227
<=> op(e2,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_227])]) ).
fof(f808,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2313,plain,
( ~ spl154_226
| ~ spl154_150
| spl154_225 ),
inference(avatar_split_clause,[],[f2308,f2304,f1934,f2310]) ).
fof(f2304,plain,
( spl154_225
<=> op(e1,e1) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_225])]) ).
fof(f2308,plain,
( e0 != op(e4,e1)
| ~ spl154_150
| spl154_225 ),
inference(forward_demodulation,[],[f2306,f1936]) ).
fof(f2306,plain,
( op(e1,e1) != op(e4,e1)
| spl154_225 ),
inference(avatar_component_clause,[],[f2304]) ).
fof(f2307,plain,
~ spl154_225,
inference(avatar_split_clause,[],[f807,f2304]) ).
fof(f807,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2302,plain,
( ~ spl154_224
| ~ spl154_150
| spl154_223 ),
inference(avatar_split_clause,[],[f2297,f2293,f1934,f2299]) ).
fof(f2293,plain,
( spl154_223
<=> op(e1,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_223])]) ).
fof(f2297,plain,
( e0 != op(e3,e1)
| ~ spl154_150
| spl154_223 ),
inference(forward_demodulation,[],[f2295,f1936]) ).
fof(f2295,plain,
( op(e1,e1) != op(e3,e1)
| spl154_223 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f2296,plain,
~ spl154_223,
inference(avatar_split_clause,[],[f806,f2293]) ).
fof(f806,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2291,plain,
( ~ spl154_222
| ~ spl154_150
| spl154_221 ),
inference(avatar_split_clause,[],[f2286,f2282,f1934,f2288]) ).
fof(f2282,plain,
( spl154_221
<=> op(e1,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_221])]) ).
fof(f2286,plain,
( e0 != op(e2,e1)
| ~ spl154_150
| spl154_221 ),
inference(forward_demodulation,[],[f2284,f1936]) ).
fof(f2284,plain,
( op(e1,e1) != op(e2,e1)
| spl154_221 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f2285,plain,
~ spl154_221,
inference(avatar_split_clause,[],[f805,f2282]) ).
fof(f805,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2280,plain,
~ spl154_220,
inference(avatar_split_clause,[],[f804,f2277]) ).
fof(f2277,plain,
( spl154_220
<=> op(e0,e1) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_220])]) ).
fof(f804,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2275,plain,
~ spl154_219,
inference(avatar_split_clause,[],[f803,f2272]) ).
fof(f2272,plain,
( spl154_219
<=> op(e0,e1) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_219])]) ).
fof(f803,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2270,plain,
~ spl154_218,
inference(avatar_split_clause,[],[f802,f2267]) ).
fof(f2267,plain,
( spl154_218
<=> op(e0,e1) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_218])]) ).
fof(f802,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2265,plain,
( ~ spl154_217
| ~ spl154_150
| spl154_216 ),
inference(avatar_split_clause,[],[f2260,f2256,f1934,f2262]) ).
fof(f2256,plain,
( spl154_216
<=> op(e0,e1) = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_216])]) ).
fof(f2260,plain,
( e0 != op(e0,e1)
| ~ spl154_150
| spl154_216 ),
inference(forward_demodulation,[],[f2258,f1936]) ).
fof(f2258,plain,
( op(e0,e1) != op(e1,e1)
| spl154_216 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2259,plain,
~ spl154_216,
inference(avatar_split_clause,[],[f801,f2256]) ).
fof(f801,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2254,plain,
~ spl154_215,
inference(avatar_split_clause,[],[f800,f2251]) ).
fof(f2251,plain,
( spl154_215
<=> op(e3,e0) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_215])]) ).
fof(f800,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2249,plain,
~ spl154_214,
inference(avatar_split_clause,[],[f799,f2246]) ).
fof(f2246,plain,
( spl154_214
<=> op(e2,e0) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_214])]) ).
fof(f799,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2244,plain,
~ spl154_213,
inference(avatar_split_clause,[],[f798,f2241]) ).
fof(f2241,plain,
( spl154_213
<=> op(e2,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_213])]) ).
fof(f798,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2239,plain,
( ~ spl154_212
| ~ spl154_197
| spl154_211 ),
inference(avatar_split_clause,[],[f2234,f2230,f2155,f2236]) ).
fof(f2234,plain,
( e1 != op(e4,e0)
| ~ spl154_197
| spl154_211 ),
inference(forward_demodulation,[],[f2232,f2157]) ).
fof(f2233,plain,
~ spl154_211,
inference(avatar_split_clause,[],[f797,f2230]) ).
fof(f797,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2228,plain,
( ~ spl154_210
| ~ spl154_197
| spl154_209 ),
inference(avatar_split_clause,[],[f2223,f2219,f2155,f2225]) ).
fof(f2219,plain,
( spl154_209
<=> op(e1,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_209])]) ).
fof(f2223,plain,
( e1 != op(e3,e0)
| ~ spl154_197
| spl154_209 ),
inference(forward_demodulation,[],[f2221,f2157]) ).
fof(f2221,plain,
( op(e1,e0) != op(e3,e0)
| spl154_209 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2222,plain,
~ spl154_209,
inference(avatar_split_clause,[],[f796,f2219]) ).
fof(f796,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2217,plain,
( ~ spl154_208
| ~ spl154_197
| spl154_207 ),
inference(avatar_split_clause,[],[f2212,f2208,f2155,f2214]) ).
fof(f2212,plain,
( e1 != op(e2,e0)
| ~ spl154_197
| spl154_207 ),
inference(forward_demodulation,[],[f2210,f2157]) ).
fof(f2211,plain,
~ spl154_207,
inference(avatar_split_clause,[],[f795,f2208]) ).
fof(f795,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2206,plain,
~ spl154_206,
inference(avatar_split_clause,[],[f794,f2203]) ).
fof(f2203,plain,
( spl154_206
<=> op(e0,e0) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_206])]) ).
fof(f794,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2201,plain,
~ spl154_205,
inference(avatar_split_clause,[],[f793,f2198]) ).
fof(f2198,plain,
( spl154_205
<=> op(e0,e0) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_205])]) ).
fof(f793,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2196,plain,
~ spl154_204,
inference(avatar_split_clause,[],[f792,f2193]) ).
fof(f792,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2190,plain,
~ spl154_203,
inference(avatar_split_clause,[],[f791,f2187]) ).
fof(f2187,plain,
( spl154_203
<=> op(e0,e0) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl154_203])]) ).
fof(f791,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2185,plain,
( ~ spl154_1
| spl154_202 ),
inference(avatar_split_clause,[],[f513,f2182,f1117]) ).
fof(f1117,plain,
( spl154_1
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_1])]) ).
fof(f2182,plain,
( spl154_202
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_202])]) ).
fof(f513,plain,
( sP22
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
inference(nnf_transformation,[],[f135]) ).
fof(f2180,plain,
( ~ spl154_5
| spl154_201 ),
inference(avatar_split_clause,[],[f415,f2177,f1133]) ).
fof(f1133,plain,
( spl154_5
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_5])]) ).
fof(f415,plain,
( sP124
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
inference(nnf_transformation,[],[f139]) ).
fof(f2174,plain,
( ~ spl154_3
| spl154_200 ),
inference(avatar_split_clause,[],[f464,f2171,f1125]) ).
fof(f464,plain,
( sP73
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f2168,plain,
( ~ spl154_85
| spl154_199 ),
inference(avatar_split_clause,[],[f1611,f2165,f1583]) ).
fof(f1583,plain,
( spl154_85
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_85])]) ).
fof(f1611,plain,
( e2 = op(e3,e1)
| ~ sP42 ),
inference(trivial_inequality_removal,[],[f1610]) ).
fof(f1610,plain,
( e1 != e1
| e2 = op(e3,e1)
| ~ sP42 ),
inference(forward_demodulation,[],[f680,f1095]) ).
fof(f680,plain,
( e2 = op(e3,e1)
| e1 != op(e3,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2)
| ~ sP42 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2163,plain,
( ~ spl154_63
| spl154_198 ),
inference(avatar_split_clause,[],[f1482,f2160,f1453]) ).
fof(f1453,plain,
( spl154_63
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_63])]) ).
fof(f1482,plain,
( e2 = op(e2,e3)
| ~ sP87 ),
inference(trivial_inequality_removal,[],[f1481]) ).
fof(f1481,plain,
( e3 != e3
| e2 = op(e2,e3)
| ~ sP87 ),
inference(forward_demodulation,[],[f590,f893]) ).
fof(f590,plain,
( e2 = op(e2,e3)
| e3 != op(e2,e2)
| ~ sP87 ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2)
| ~ sP87 ),
inference(nnf_transformation,[],[f97]) ).
fof(f2158,plain,
( ~ spl154_46
| spl154_197 ),
inference(avatar_split_clause,[],[f1386,f2155,f1356]) ).
fof(f1356,plain,
( spl154_46
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_46])]) ).
fof(f1386,plain,
( e1 = op(e1,e0)
| ~ sP6 ),
inference(trivial_inequality_removal,[],[f1385]) ).
fof(f1385,plain,
( e0 != e0
| e1 = op(e1,e0)
| ~ sP6 ),
inference(forward_demodulation,[],[f752,f1097]) ).
fof(f752,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
( ( e0 != unit
& e1 = op(e1,e0) )
| e0 != op(e1,e1)
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f2153,plain,
( ~ spl154_195
| spl154_196 ),
inference(avatar_split_clause,[],[f389,f2150,f2146]) ).
fof(f389,plain,
( e0 = op(e0,e0)
| ~ sP130 ),
inference(cnf_transformation,[],[f188]) ).
fof(f2144,plain,
( ~ spl154_194
| spl154_187 ),
inference(avatar_split_clause,[],[f385,f2109,f2141]) ).
fof(f385,plain,
( op(e0,e0) = e1
| ~ sP131 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP131 ),
inference(nnf_transformation,[],[f141]) ).
fof(f2139,plain,
( ~ spl154_192
| spl154_193 ),
inference(avatar_split_clause,[],[f382,f2136,f2132]) ).
fof(f382,plain,
( op(e0,e0) = e2
| ~ sP132 ),
inference(cnf_transformation,[],[f186]) ).
fof(f2130,plain,
( ~ spl154_190
| spl154_191 ),
inference(avatar_split_clause,[],[f379,f2127,f2123]) ).
fof(f379,plain,
( op(e0,e0) = e3
| ~ sP133 ),
inference(cnf_transformation,[],[f185]) ).
fof(f2121,plain,
( ~ spl154_188
| spl154_189 ),
inference(avatar_split_clause,[],[f376,f2118,f2114]) ).
fof(f376,plain,
( op(e0,e0) = e4
| ~ sP134 ),
inference(cnf_transformation,[],[f184]) ).
fof(f2112,plain,
( ~ spl154_186
| spl154_187 ),
inference(avatar_split_clause,[],[f374,f2109,f2105]) ).
fof(f374,plain,
( op(e0,e0) = e1
| ~ sP135 ),
inference(cnf_transformation,[],[f183]) ).
fof(f2102,plain,
( ~ spl154_184
| spl154_185 ),
inference(avatar_split_clause,[],[f371,f2099,f2095]) ).
fof(f371,plain,
( e1 = op(e1,e1)
| ~ sP136 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP136 ),
inference(nnf_transformation,[],[f146]) ).
fof(f2092,plain,
( ~ spl154_182
| spl154_183 ),
inference(avatar_split_clause,[],[f367,f2089,f2085]) ).
fof(f367,plain,
( e2 = op(e1,e1)
| ~ sP137 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP137 ),
inference(nnf_transformation,[],[f147]) ).
fof(f2082,plain,
( ~ spl154_180
| spl154_181 ),
inference(avatar_split_clause,[],[f364,f2079,f2075]) ).
fof(f364,plain,
( e3 = op(e1,e1)
| ~ sP138 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP138 ),
inference(nnf_transformation,[],[f148]) ).
fof(f2072,plain,
( ~ spl154_178
| spl154_179 ),
inference(avatar_split_clause,[],[f361,f2069,f2065]) ).
fof(f361,plain,
( e4 = op(e1,e1)
| ~ sP139 ),
inference(cnf_transformation,[],[f179]) ).
fof(f2062,plain,
( ~ spl154_176
| spl154_177 ),
inference(avatar_split_clause,[],[f358,f2059,f2055]) ).
fof(f358,plain,
( e0 = op(e2,e2)
| ~ sP140 ),
inference(cnf_transformation,[],[f178]) ).
fof(f2052,plain,
( ~ spl154_174
| spl154_175 ),
inference(avatar_split_clause,[],[f355,f2049,f2045]) ).
fof(f355,plain,
( e1 = op(e2,e2)
| ~ sP141 ),
inference(cnf_transformation,[],[f177]) ).
fof(f2042,plain,
( ~ spl154_172
| spl154_173 ),
inference(avatar_split_clause,[],[f353,f2039,f2035]) ).
fof(f353,plain,
( e2 = op(e2,e2)
| ~ sP142 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP142 ),
inference(nnf_transformation,[],[f152]) ).
fof(f2033,plain,
( ~ spl154_171
| spl154_164 ),
inference(avatar_split_clause,[],[f350,f1997,f2030]) ).
fof(f350,plain,
( e2 = op(e3,e3)
| ~ sP143 ),
inference(cnf_transformation,[],[f175]) ).
fof(f2027,plain,
( ~ spl154_169
| spl154_170 ),
inference(avatar_split_clause,[],[f346,f2024,f2020]) ).
fof(f346,plain,
( e4 = op(e2,e2)
| ~ sP144 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP144 ),
inference(nnf_transformation,[],[f154]) ).
fof(f2018,plain,
( ~ spl154_167
| spl154_168 ),
inference(avatar_split_clause,[],[f343,f2015,f2011]) ).
fof(f343,plain,
( e0 = op(e3,e3)
| ~ sP145 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP145 ),
inference(nnf_transformation,[],[f155]) ).
fof(f2009,plain,
( ~ spl154_165
| spl154_166 ),
inference(avatar_split_clause,[],[f340,f2006,f2002]) ).
fof(f340,plain,
( e1 = op(e3,e3)
| ~ sP146 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP146 ),
inference(nnf_transformation,[],[f156]) ).
fof(f2000,plain,
( ~ spl154_163
| spl154_164 ),
inference(avatar_split_clause,[],[f337,f1997,f1993]) ).
fof(f337,plain,
( e2 = op(e3,e3)
| ~ sP147 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP147 ),
inference(nnf_transformation,[],[f157]) ).
fof(f1991,plain,
( ~ spl154_161
| spl154_162 ),
inference(avatar_split_clause,[],[f335,f1988,f1984]) ).
fof(f335,plain,
( e3 = op(e3,e3)
| ~ sP148 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP148 ),
inference(nnf_transformation,[],[f158]) ).
fof(f1982,plain,
( ~ spl154_159
| spl154_160 ),
inference(avatar_split_clause,[],[f331,f1979,f1975]) ).
fof(f331,plain,
( e4 = op(e3,e3)
| ~ sP149 ),
inference(cnf_transformation,[],[f169]) ).
fof(f1973,plain,
( ~ spl154_157
| spl154_158 ),
inference(avatar_split_clause,[],[f328,f1970,f1966]) ).
fof(f328,plain,
( e0 = op(e4,e4)
| ~ sP150 ),
inference(cnf_transformation,[],[f168]) ).
fof(f1964,plain,
( ~ spl154_155
| spl154_156 ),
inference(avatar_split_clause,[],[f325,f1961,f1957]) ).
fof(f325,plain,
( e1 = op(e4,e4)
| ~ sP151 ),
inference(cnf_transformation,[],[f167]) ).
fof(f1955,plain,
( ~ spl154_153
| spl154_154 ),
inference(avatar_split_clause,[],[f322,f1952,f1948]) ).
fof(f322,plain,
( e2 = op(e4,e4)
| ~ sP152 ),
inference(cnf_transformation,[],[f166]) ).
fof(f1946,plain,
( ~ spl154_151
| spl154_152 ),
inference(avatar_split_clause,[],[f319,f1943,f1939]) ).
fof(f319,plain,
( e3 = op(e4,e4)
| ~ sP153 ),
inference(cnf_transformation,[],[f165]) ).
fof(f1937,plain,
spl154_150,
inference(avatar_split_clause,[],[f1097,f1934]) ).
fof(f1932,plain,
spl154_149,
inference(avatar_split_clause,[],[f1095,f1929]) ).
fof(f1927,plain,
spl154_148,
inference(avatar_split_clause,[],[f893,f1924]) ).
fof(f1922,plain,
spl154_147,
inference(avatar_split_clause,[],[f789,f1919]) ).
fof(f1917,plain,
spl154_146,
inference(avatar_split_clause,[],[f788,f1914]) ).
fof(f1912,plain,
spl154_145,
inference(avatar_split_clause,[],[f787,f1909]) ).
fof(f1907,plain,
spl154_144,
inference(avatar_split_clause,[],[f786,f1904]) ).
fof(f1902,plain,
spl154_143,
inference(avatar_split_clause,[],[f785,f1899]) ).
fof(f1897,plain,
spl154_142,
inference(avatar_split_clause,[],[f784,f1894]) ).
fof(f784,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1892,plain,
spl154_141,
inference(avatar_split_clause,[],[f783,f1889]) ).
fof(f783,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1887,plain,
spl154_140,
inference(avatar_split_clause,[],[f782,f1884]) ).
fof(f782,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1882,plain,
spl154_139,
inference(avatar_split_clause,[],[f781,f1879]) ).
fof(f1877,plain,
spl154_138,
inference(avatar_split_clause,[],[f780,f1874]) ).
fof(f1872,plain,
( ~ spl154_85
| ~ spl154_137 ),
inference(avatar_split_clause,[],[f1613,f1869,f1583]) ).
fof(f1613,plain,
( e1 != unit
| ~ sP42 ),
inference(duplicate_literal_removal,[],[f1612]) ).
fof(f1612,plain,
( e1 != unit
| e1 != unit
| ~ sP42 ),
inference(forward_demodulation,[],[f1052,f1095]) ).
fof(f1052,plain,
( e1 != unit
| op(e3,e2) != unit
| ~ sP42 ),
inference(inner_rewriting,[],[f681]) ).
fof(f681,plain,
( e1 != unit
| e1 != op(e3,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f276]) ).
fof(f1867,plain,
( ~ spl154_63
| ~ spl154_136 ),
inference(avatar_split_clause,[],[f1484,f1864,f1453]) ).
fof(f1484,plain,
( e3 != unit
| ~ sP87 ),
inference(duplicate_literal_removal,[],[f1483]) ).
fof(f1483,plain,
( e3 != unit
| e3 != unit
| ~ sP87 ),
inference(forward_demodulation,[],[f1007,f893]) ).
fof(f1007,plain,
( e3 != unit
| op(e2,e2) != unit
| ~ sP87 ),
inference(inner_rewriting,[],[f591]) ).
fof(f591,plain,
( e3 != unit
| e3 != op(e2,e2)
| ~ sP87 ),
inference(cnf_transformation,[],[f231]) ).
fof(f1862,plain,
( ~ spl154_46
| ~ spl154_135 ),
inference(avatar_split_clause,[],[f1388,f1859,f1356]) ).
fof(f1388,plain,
( e0 != unit
| ~ sP6 ),
inference(duplicate_literal_removal,[],[f1387]) ).
fof(f1387,plain,
( e0 != unit
| e0 != unit
| ~ sP6 ),
inference(forward_demodulation,[],[f1088,f1097]) ).
fof(f1088,plain,
( e0 != unit
| op(e1,e1) != unit
| ~ sP6 ),
inference(inner_rewriting,[],[f753]) ).
fof(f753,plain,
( e0 != unit
| e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f312]) ).
fof(f1857,plain,
~ spl154_134,
inference(avatar_split_clause,[],[f779,f1854]) ).
fof(f779,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f1852,plain,
~ spl154_133,
inference(avatar_split_clause,[],[f778,f1849]) ).
fof(f778,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1847,plain,
~ spl154_132,
inference(avatar_split_clause,[],[f777,f1844]) ).
fof(f777,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1842,plain,
~ spl154_131,
inference(avatar_split_clause,[],[f776,f1839]) ).
fof(f776,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1837,plain,
~ spl154_130,
inference(avatar_split_clause,[],[f775,f1834]) ).
fof(f775,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1832,plain,
~ spl154_129,
inference(avatar_split_clause,[],[f774,f1829]) ).
fof(f774,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1827,plain,
~ spl154_128,
inference(avatar_split_clause,[],[f773,f1824]) ).
fof(f773,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1822,plain,
~ spl154_127,
inference(avatar_split_clause,[],[f772,f1819]) ).
fof(f772,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1817,plain,
~ spl154_126,
inference(avatar_split_clause,[],[f771,f1814]) ).
fof(f771,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1812,plain,
~ spl154_125,
inference(avatar_split_clause,[],[f770,f1809]) ).
fof(f770,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f1807,plain,
( ~ spl154_5
| spl154_124 ),
inference(avatar_split_clause,[],[f414,f1804,f1133]) ).
fof(f1804,plain,
( spl154_124
<=> sP123 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_124])]) ).
fof(f414,plain,
( sP123
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1801,plain,
( ~ spl154_4
| spl154_123 ),
inference(avatar_split_clause,[],[f440,f1798,f1129]) ).
fof(f1129,plain,
( spl154_4
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_4])]) ).
fof(f440,plain,
( sP99
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
inference(nnf_transformation,[],[f138]) ).
fof(f1795,plain,
( ~ spl154_3
| spl154_122 ),
inference(avatar_split_clause,[],[f463,f1792,f1125]) ).
fof(f1792,plain,
( spl154_122
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_122])]) ).
fof(f463,plain,
( sP72
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1790,plain,
( ~ spl154_1
| spl154_121 ),
inference(avatar_split_clause,[],[f512,f1787,f1117]) ).
fof(f512,plain,
( sP21
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1784,plain,
( ~ spl154_2
| spl154_120 ),
inference(avatar_split_clause,[],[f490,f1781,f1121]) ).
fof(f1121,plain,
( spl154_2
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_2])]) ).
fof(f490,plain,
( sP49
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
inference(nnf_transformation,[],[f136]) ).
fof(f1779,plain,
( ~ spl154_5
| spl154_119 ),
inference(avatar_split_clause,[],[f413,f1776,f1133]) ).
fof(f413,plain,
( sP122
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1773,plain,
( ~ spl154_4
| spl154_118 ),
inference(avatar_split_clause,[],[f439,f1770,f1129]) ).
fof(f1770,plain,
( spl154_118
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_118])]) ).
fof(f439,plain,
( sP98
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1768,plain,
( ~ spl154_3
| spl154_117 ),
inference(avatar_split_clause,[],[f462,f1765,f1125]) ).
fof(f462,plain,
( sP71
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1763,plain,
( ~ spl154_1
| spl154_116 ),
inference(avatar_split_clause,[],[f511,f1760,f1117]) ).
fof(f511,plain,
( sP20
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1758,plain,
( ~ spl154_2
| spl154_115 ),
inference(avatar_split_clause,[],[f489,f1755,f1121]) ).
fof(f489,plain,
( sP48
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1753,plain,
( ~ spl154_5
| spl154_114 ),
inference(avatar_split_clause,[],[f412,f1750,f1133]) ).
fof(f412,plain,
( sP121
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1747,plain,
( ~ spl154_4
| spl154_113 ),
inference(avatar_split_clause,[],[f438,f1744,f1129]) ).
fof(f1744,plain,
( spl154_113
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_113])]) ).
fof(f438,plain,
( sP97
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1742,plain,
( ~ spl154_3
| spl154_112 ),
inference(avatar_split_clause,[],[f461,f1739,f1125]) ).
fof(f461,plain,
( sP70
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1736,plain,
( ~ spl154_1
| spl154_111 ),
inference(avatar_split_clause,[],[f510,f1733,f1117]) ).
fof(f510,plain,
( sP19
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1731,plain,
( ~ spl154_2
| spl154_110 ),
inference(avatar_split_clause,[],[f488,f1728,f1121]) ).
fof(f488,plain,
( sP47
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1725,plain,
( ~ spl154_5
| spl154_109 ),
inference(avatar_split_clause,[],[f411,f1722,f1133]) ).
fof(f411,plain,
( sP120
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1719,plain,
( ~ spl154_4
| spl154_108 ),
inference(avatar_split_clause,[],[f437,f1716,f1129]) ).
fof(f437,plain,
( sP96
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1714,plain,
( ~ spl154_3
| spl154_107 ),
inference(avatar_split_clause,[],[f460,f1711,f1125]) ).
fof(f460,plain,
( sP69
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1708,plain,
( ~ spl154_1
| spl154_106 ),
inference(avatar_split_clause,[],[f509,f1705,f1117]) ).
fof(f509,plain,
( sP18
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1701,plain,
( ~ spl154_2
| spl154_105 ),
inference(avatar_split_clause,[],[f487,f1698,f1121]) ).
fof(f1698,plain,
( spl154_105
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_105])]) ).
fof(f487,plain,
( sP46
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1696,plain,
( ~ spl154_5
| spl154_104 ),
inference(avatar_split_clause,[],[f410,f1693,f1133]) ).
fof(f1693,plain,
( spl154_104
<=> sP119 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_104])]) ).
fof(f410,plain,
( sP119
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1691,plain,
( ~ spl154_4
| spl154_103 ),
inference(avatar_split_clause,[],[f436,f1688,f1129]) ).
fof(f1688,plain,
( spl154_103
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_103])]) ).
fof(f436,plain,
( sP95
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1685,plain,
( ~ spl154_3
| spl154_102 ),
inference(avatar_split_clause,[],[f459,f1682,f1125]) ).
fof(f1682,plain,
( spl154_102
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_102])]) ).
fof(f459,plain,
( sP68
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1679,plain,
( ~ spl154_1
| spl154_101 ),
inference(avatar_split_clause,[],[f508,f1676,f1117]) ).
fof(f1676,plain,
( spl154_101
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_101])]) ).
fof(f508,plain,
( sP17
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1674,plain,
( ~ spl154_2
| spl154_100 ),
inference(avatar_split_clause,[],[f486,f1671,f1121]) ).
fof(f486,plain,
( sP45
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1669,plain,
( ~ spl154_5
| spl154_99 ),
inference(avatar_split_clause,[],[f409,f1666,f1133]) ).
fof(f409,plain,
( sP118
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1662,plain,
( ~ spl154_4
| spl154_98 ),
inference(avatar_split_clause,[],[f435,f1659,f1129]) ).
fof(f1659,plain,
( spl154_98
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_98])]) ).
fof(f435,plain,
( sP94
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1657,plain,
( ~ spl154_3
| spl154_97 ),
inference(avatar_split_clause,[],[f458,f1654,f1125]) ).
fof(f1654,plain,
( spl154_97
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_97])]) ).
fof(f458,plain,
( sP67
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1652,plain,
( ~ spl154_1
| spl154_96 ),
inference(avatar_split_clause,[],[f507,f1649,f1117]) ).
fof(f507,plain,
( sP16
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1646,plain,
( ~ spl154_2
| spl154_95 ),
inference(avatar_split_clause,[],[f485,f1643,f1121]) ).
fof(f485,plain,
( sP44
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1641,plain,
( ~ spl154_5
| spl154_94 ),
inference(avatar_split_clause,[],[f408,f1638,f1133]) ).
fof(f1638,plain,
( spl154_94
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_94])]) ).
fof(f408,plain,
( sP117
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1636,plain,
( ~ spl154_4
| spl154_93 ),
inference(avatar_split_clause,[],[f434,f1633,f1129]) ).
fof(f1633,plain,
( spl154_93
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_93])]) ).
fof(f434,plain,
( sP93
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1629,plain,
( ~ spl154_3
| spl154_92 ),
inference(avatar_split_clause,[],[f457,f1626,f1125]) ).
fof(f457,plain,
( sP66
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1623,plain,
( ~ spl154_1
| spl154_91 ),
inference(avatar_split_clause,[],[f506,f1620,f1117]) ).
fof(f506,plain,
( sP15
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1618,plain,
( ~ spl154_2
| spl154_90 ),
inference(avatar_split_clause,[],[f484,f1615,f1121]) ).
fof(f1615,plain,
( spl154_90
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_90])]) ).
fof(f484,plain,
( sP43
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1609,plain,
( ~ spl154_5
| spl154_89 ),
inference(avatar_split_clause,[],[f407,f1606,f1133]) ).
fof(f407,plain,
( sP116
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1604,plain,
( ~ spl154_4
| spl154_88 ),
inference(avatar_split_clause,[],[f433,f1601,f1129]) ).
fof(f1601,plain,
( spl154_88
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_88])]) ).
fof(f433,plain,
( sP92
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1598,plain,
( ~ spl154_3
| spl154_87 ),
inference(avatar_split_clause,[],[f456,f1595,f1125]) ).
fof(f456,plain,
( sP65
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1591,plain,
( ~ spl154_1
| spl154_86 ),
inference(avatar_split_clause,[],[f505,f1588,f1117]) ).
fof(f505,plain,
( sP14
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1586,plain,
( ~ spl154_2
| spl154_85 ),
inference(avatar_split_clause,[],[f483,f1583,f1121]) ).
fof(f483,plain,
( sP42
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1580,plain,
( ~ spl154_5
| spl154_84 ),
inference(avatar_split_clause,[],[f406,f1577,f1133]) ).
fof(f406,plain,
( sP115
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1574,plain,
( ~ spl154_4
| spl154_83 ),
inference(avatar_split_clause,[],[f432,f1571,f1129]) ).
fof(f432,plain,
( sP91
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1568,plain,
( ~ spl154_3
| spl154_82 ),
inference(avatar_split_clause,[],[f455,f1565,f1125]) ).
fof(f1565,plain,
( spl154_82
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_82])]) ).
fof(f455,plain,
( sP64
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1562,plain,
( ~ spl154_1
| spl154_81 ),
inference(avatar_split_clause,[],[f504,f1559,f1117]) ).
fof(f504,plain,
( sP13
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1555,plain,
( ~ spl154_2
| spl154_80 ),
inference(avatar_split_clause,[],[f482,f1552,f1121]) ).
fof(f1552,plain,
( spl154_80
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_80])]) ).
fof(f482,plain,
( sP41
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1550,plain,
( ~ spl154_5
| spl154_79 ),
inference(avatar_split_clause,[],[f405,f1547,f1133]) ).
fof(f405,plain,
( sP114
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1545,plain,
( ~ spl154_4
| spl154_78 ),
inference(avatar_split_clause,[],[f431,f1542,f1129]) ).
fof(f431,plain,
( sP90
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1540,plain,
( ~ spl154_3
| spl154_77 ),
inference(avatar_split_clause,[],[f454,f1537,f1125]) ).
fof(f1537,plain,
( spl154_77
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_77])]) ).
fof(f454,plain,
( sP63
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1535,plain,
( ~ spl154_1
| spl154_76 ),
inference(avatar_split_clause,[],[f503,f1532,f1117]) ).
fof(f503,plain,
( sP12
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1530,plain,
( ~ spl154_2
| spl154_75 ),
inference(avatar_split_clause,[],[f481,f1527,f1121]) ).
fof(f1527,plain,
( spl154_75
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_75])]) ).
fof(f481,plain,
( sP40
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1525,plain,
( ~ spl154_5
| spl154_74 ),
inference(avatar_split_clause,[],[f404,f1522,f1133]) ).
fof(f404,plain,
( sP113
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1518,plain,
( ~ spl154_4
| spl154_73 ),
inference(avatar_split_clause,[],[f430,f1515,f1129]) ).
fof(f1515,plain,
( spl154_73
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_73])]) ).
fof(f430,plain,
( sP89
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1512,plain,
( ~ spl154_3
| spl154_72 ),
inference(avatar_split_clause,[],[f453,f1509,f1125]) ).
fof(f1509,plain,
( spl154_72
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_72])]) ).
fof(f453,plain,
( sP62
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1505,plain,
( ~ spl154_1
| spl154_71 ),
inference(avatar_split_clause,[],[f502,f1502,f1117]) ).
fof(f502,plain,
( sP11
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1499,plain,
( ~ spl154_2
| spl154_70 ),
inference(avatar_split_clause,[],[f480,f1496,f1121]) ).
fof(f480,plain,
( sP39
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1494,plain,
( ~ spl154_5
| spl154_69 ),
inference(avatar_split_clause,[],[f403,f1491,f1133]) ).
fof(f1491,plain,
( spl154_69
<=> sP112 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_69])]) ).
fof(f403,plain,
( sP112
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1489,plain,
( ~ spl154_4
| spl154_68 ),
inference(avatar_split_clause,[],[f429,f1486,f1129]) ).
fof(f1486,plain,
( spl154_68
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_68])]) ).
fof(f429,plain,
( sP88
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1480,plain,
( ~ spl154_3
| spl154_67 ),
inference(avatar_split_clause,[],[f452,f1477,f1125]) ).
fof(f1477,plain,
( spl154_67
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_67])]) ).
fof(f452,plain,
( sP61
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1473,plain,
( ~ spl154_1
| spl154_66 ),
inference(avatar_split_clause,[],[f501,f1470,f1117]) ).
fof(f1470,plain,
( spl154_66
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_66])]) ).
fof(f501,plain,
( sP10
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1468,plain,
( ~ spl154_2
| spl154_65 ),
inference(avatar_split_clause,[],[f479,f1465,f1121]) ).
fof(f479,plain,
( sP38
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1461,plain,
( ~ spl154_5
| spl154_64 ),
inference(avatar_split_clause,[],[f402,f1458,f1133]) ).
fof(f402,plain,
( sP111
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1456,plain,
( ~ spl154_4
| spl154_63 ),
inference(avatar_split_clause,[],[f428,f1453,f1129]) ).
fof(f428,plain,
( sP87
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1451,plain,
( ~ spl154_3
| spl154_62 ),
inference(avatar_split_clause,[],[f451,f1448,f1125]) ).
fof(f451,plain,
( sP60
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1446,plain,
( ~ spl154_1
| spl154_61 ),
inference(avatar_split_clause,[],[f500,f1443,f1117]) ).
fof(f500,plain,
( sP9
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1441,plain,
( ~ spl154_2
| spl154_60 ),
inference(avatar_split_clause,[],[f478,f1438,f1121]) ).
fof(f1438,plain,
( spl154_60
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_60])]) ).
fof(f478,plain,
( sP37
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1435,plain,
( ~ spl154_5
| spl154_59 ),
inference(avatar_split_clause,[],[f401,f1432,f1133]) ).
fof(f401,plain,
( sP110
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1429,plain,
( ~ spl154_4
| spl154_58 ),
inference(avatar_split_clause,[],[f427,f1426,f1129]) ).
fof(f1426,plain,
( spl154_58
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_58])]) ).
fof(f427,plain,
( sP86
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1424,plain,
( ~ spl154_3
| spl154_57 ),
inference(avatar_split_clause,[],[f450,f1421,f1125]) ).
fof(f450,plain,
( sP59
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1419,plain,
( ~ spl154_1
| spl154_56 ),
inference(avatar_split_clause,[],[f499,f1416,f1117]) ).
fof(f499,plain,
( sP8
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1414,plain,
( ~ spl154_2
| spl154_55 ),
inference(avatar_split_clause,[],[f477,f1411,f1121]) ).
fof(f1411,plain,
( spl154_55
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_55])]) ).
fof(f477,plain,
( sP36
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1409,plain,
( ~ spl154_5
| spl154_54 ),
inference(avatar_split_clause,[],[f400,f1406,f1133]) ).
fof(f1406,plain,
( spl154_54
<=> sP109 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_54])]) ).
fof(f400,plain,
( sP109
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1404,plain,
( ~ spl154_4
| spl154_53 ),
inference(avatar_split_clause,[],[f426,f1401,f1129]) ).
fof(f1401,plain,
( spl154_53
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_53])]) ).
fof(f426,plain,
( sP85
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1399,plain,
( ~ spl154_3
| spl154_52 ),
inference(avatar_split_clause,[],[f449,f1396,f1125]) ).
fof(f449,plain,
( sP58
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1393,plain,
( ~ spl154_1
| spl154_51 ),
inference(avatar_split_clause,[],[f498,f1390,f1117]) ).
fof(f498,plain,
( sP7
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1384,plain,
( ~ spl154_2
| spl154_50 ),
inference(avatar_split_clause,[],[f476,f1381,f1121]) ).
fof(f1381,plain,
( spl154_50
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_50])]) ).
fof(f476,plain,
( sP35
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1377,plain,
( ~ spl154_5
| spl154_49 ),
inference(avatar_split_clause,[],[f399,f1374,f1133]) ).
fof(f1374,plain,
( spl154_49
<=> sP108 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_49])]) ).
fof(f399,plain,
( sP108
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1372,plain,
( ~ spl154_4
| spl154_48 ),
inference(avatar_split_clause,[],[f425,f1369,f1129]) ).
fof(f425,plain,
( sP84
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1366,plain,
( ~ spl154_3
| spl154_47 ),
inference(avatar_split_clause,[],[f448,f1363,f1125]) ).
fof(f1363,plain,
( spl154_47
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_47])]) ).
fof(f448,plain,
( sP57
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1359,plain,
( ~ spl154_1
| spl154_46 ),
inference(avatar_split_clause,[],[f497,f1356,f1117]) ).
fof(f497,plain,
( sP6
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1353,plain,
( ~ spl154_2
| spl154_45 ),
inference(avatar_split_clause,[],[f475,f1350,f1121]) ).
fof(f1350,plain,
( spl154_45
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_45])]) ).
fof(f475,plain,
( sP34
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1346,plain,
( ~ spl154_5
| spl154_44 ),
inference(avatar_split_clause,[],[f398,f1343,f1133]) ).
fof(f398,plain,
( sP107
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1339,plain,
( ~ spl154_4
| spl154_43 ),
inference(avatar_split_clause,[],[f424,f1336,f1129]) ).
fof(f1336,plain,
( spl154_43
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_43])]) ).
fof(f424,plain,
( sP83
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1334,plain,
( ~ spl154_3
| spl154_42 ),
inference(avatar_split_clause,[],[f447,f1331,f1125]) ).
fof(f1331,plain,
( spl154_42
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_42])]) ).
fof(f447,plain,
( sP56
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1329,plain,
( ~ spl154_1
| spl154_41 ),
inference(avatar_split_clause,[],[f496,f1326,f1117]) ).
fof(f1326,plain,
( spl154_41
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_41])]) ).
fof(f496,plain,
( sP5
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1323,plain,
( ~ spl154_2
| spl154_40 ),
inference(avatar_split_clause,[],[f474,f1320,f1121]) ).
fof(f474,plain,
( sP33
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1316,plain,
( ~ spl154_5
| spl154_39 ),
inference(avatar_split_clause,[],[f397,f1313,f1133]) ).
fof(f397,plain,
( sP106
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1311,plain,
( ~ spl154_4
| spl154_38 ),
inference(avatar_split_clause,[],[f423,f1308,f1129]) ).
fof(f1308,plain,
( spl154_38
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_38])]) ).
fof(f423,plain,
( sP82
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1304,plain,
( ~ spl154_3
| spl154_37 ),
inference(avatar_split_clause,[],[f446,f1301,f1125]) ).
fof(f446,plain,
( sP55
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1299,plain,
( ~ spl154_1
| spl154_36 ),
inference(avatar_split_clause,[],[f495,f1296,f1117]) ).
fof(f495,plain,
( sP4
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1293,plain,
( ~ spl154_2
| spl154_35 ),
inference(avatar_split_clause,[],[f473,f1290,f1121]) ).
fof(f1290,plain,
( spl154_35
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_35])]) ).
fof(f473,plain,
( sP32
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1288,plain,
( ~ spl154_5
| spl154_34 ),
inference(avatar_split_clause,[],[f396,f1285,f1133]) ).
fof(f396,plain,
( sP105
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1282,plain,
( ~ spl154_4
| spl154_33 ),
inference(avatar_split_clause,[],[f422,f1279,f1129]) ).
fof(f422,plain,
( sP81
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1277,plain,
( ~ spl154_3
| spl154_32 ),
inference(avatar_split_clause,[],[f445,f1274,f1125]) ).
fof(f1274,plain,
( spl154_32
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_32])]) ).
fof(f445,plain,
( sP54
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1272,plain,
( ~ spl154_1
| spl154_31 ),
inference(avatar_split_clause,[],[f494,f1269,f1117]) ).
fof(f494,plain,
( sP3
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1266,plain,
( ~ spl154_2
| spl154_30 ),
inference(avatar_split_clause,[],[f472,f1263,f1121]) ).
fof(f1263,plain,
( spl154_30
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_30])]) ).
fof(f472,plain,
( sP31
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1260,plain,
( ~ spl154_5
| spl154_29 ),
inference(avatar_split_clause,[],[f395,f1257,f1133]) ).
fof(f395,plain,
( sP104
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1255,plain,
( ~ spl154_4
| spl154_28 ),
inference(avatar_split_clause,[],[f421,f1252,f1129]) ).
fof(f421,plain,
( sP80
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1250,plain,
( ~ spl154_3
| spl154_27 ),
inference(avatar_split_clause,[],[f444,f1247,f1125]) ).
fof(f444,plain,
( sP53
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1244,plain,
( ~ spl154_1
| spl154_26 ),
inference(avatar_split_clause,[],[f493,f1241,f1117]) ).
fof(f493,plain,
( sP2
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1238,plain,
( ~ spl154_2
| spl154_25 ),
inference(avatar_split_clause,[],[f471,f1235,f1121]) ).
fof(f1235,plain,
( spl154_25
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_25])]) ).
fof(f471,plain,
( sP30
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1233,plain,
( ~ spl154_5
| spl154_24 ),
inference(avatar_split_clause,[],[f394,f1230,f1133]) ).
fof(f394,plain,
( sP103
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1228,plain,
( ~ spl154_4
| spl154_23 ),
inference(avatar_split_clause,[],[f420,f1225,f1129]) ).
fof(f420,plain,
( sP79
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1222,plain,
( ~ spl154_3
| spl154_22 ),
inference(avatar_split_clause,[],[f443,f1219,f1125]) ).
fof(f1219,plain,
( spl154_22
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_22])]) ).
fof(f443,plain,
( sP52
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1217,plain,
( ~ spl154_1
| spl154_21 ),
inference(avatar_split_clause,[],[f492,f1214,f1117]) ).
fof(f1214,plain,
( spl154_21
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_21])]) ).
fof(f492,plain,
( sP1
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1212,plain,
( ~ spl154_2
| spl154_20 ),
inference(avatar_split_clause,[],[f470,f1209,f1121]) ).
fof(f1209,plain,
( spl154_20
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_20])]) ).
fof(f470,plain,
( sP29
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1207,plain,
( ~ spl154_5
| spl154_19 ),
inference(avatar_split_clause,[],[f393,f1204,f1133]) ).
fof(f393,plain,
( sP102
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1202,plain,
( ~ spl154_4
| spl154_18 ),
inference(avatar_split_clause,[],[f419,f1199,f1129]) ).
fof(f419,plain,
( sP78
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1197,plain,
( ~ spl154_3
| spl154_17 ),
inference(avatar_split_clause,[],[f442,f1194,f1125]) ).
fof(f442,plain,
( sP51
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1192,plain,
( ~ spl154_2
| spl154_16 ),
inference(avatar_split_clause,[],[f469,f1189,f1121]) ).
fof(f469,plain,
( sP28
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1187,plain,
( ~ spl154_5
| spl154_15 ),
inference(avatar_split_clause,[],[f392,f1184,f1133]) ).
fof(f392,plain,
( sP101
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1182,plain,
( ~ spl154_5
| spl154_14 ),
inference(avatar_split_clause,[],[f391,f1179,f1133]) ).
fof(f391,plain,
( sP100
| ~ sP129 ),
inference(cnf_transformation,[],[f189]) ).
fof(f1177,plain,
( ~ spl154_4
| spl154_13 ),
inference(avatar_split_clause,[],[f418,f1174,f1129]) ).
fof(f1174,plain,
( spl154_13
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_13])]) ).
fof(f418,plain,
( sP77
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1172,plain,
( ~ spl154_3
| spl154_12 ),
inference(avatar_split_clause,[],[f441,f1169,f1125]) ).
fof(f1169,plain,
( spl154_12
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_12])]) ).
fof(f441,plain,
( sP50
| ~ sP127 ),
inference(cnf_transformation,[],[f191]) ).
fof(f1167,plain,
( ~ spl154_2
| spl154_11 ),
inference(avatar_split_clause,[],[f468,f1164,f1121]) ).
fof(f1164,plain,
( spl154_11
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_11])]) ).
fof(f468,plain,
( sP27
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1161,plain,
( ~ spl154_1
| spl154_10 ),
inference(avatar_split_clause,[],[f491,f1158,f1117]) ).
fof(f491,plain,
( sP0
| ~ sP125 ),
inference(cnf_transformation,[],[f193]) ).
fof(f1156,plain,
( ~ spl154_4
| spl154_9 ),
inference(avatar_split_clause,[],[f417,f1153,f1129]) ).
fof(f417,plain,
( sP76
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1151,plain,
( ~ spl154_4
| spl154_8 ),
inference(avatar_split_clause,[],[f416,f1148,f1129]) ).
fof(f416,plain,
( sP75
| ~ sP128 ),
inference(cnf_transformation,[],[f190]) ).
fof(f1146,plain,
( ~ spl154_2
| spl154_7 ),
inference(avatar_split_clause,[],[f467,f1143,f1121]) ).
fof(f1143,plain,
( spl154_7
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl154_7])]) ).
fof(f467,plain,
( sP26
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1141,plain,
( ~ spl154_2
| spl154_6 ),
inference(avatar_split_clause,[],[f466,f1138,f1121]) ).
fof(f466,plain,
( sP25
| ~ sP126 ),
inference(cnf_transformation,[],[f192]) ).
fof(f1136,plain,
( spl154_1
| spl154_2
| spl154_3
| spl154_4
| spl154_5 ),
inference(avatar_split_clause,[],[f766,f1133,f1129,f1125,f1121,f1117]) ).
fof(f766,plain,
( sP129
| sP128
| sP127
| sP126
| sP125 ),
inference(cnf_transformation,[],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG058+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 23:45:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (25664)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (25669)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.41 % (25671)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.41 % (25666)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.41 % (25668)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.42 % (25670)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.42 % (25667)WARNING: value z3 for option sas not known
% 0.21/0.42 % (25667)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.42 % (25665)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.45 Detected minimum model sizes of [5]
% 0.21/0.45 Detected maximum model sizes of [max]
% 0.21/0.45 TRYING [5]
% 0.21/0.48 TRYING [6]
% 0.21/0.52 TRYING [7]
% 1.33/0.57 TRYING [8]
% 1.75/0.64 TRYING [9]
% 2.22/0.70 TRYING [10]
% 2.22/0.76 TRYING [11]
% 2.67/0.78 % (25669)First to succeed.
% 2.67/0.80 % (25669)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25664"
% 2.67/0.81 % (25669)Refutation found. Thanks to Tanya!
% 2.67/0.81 % SZS status Theorem for theBenchmark
% 2.67/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/0.83 % (25669)------------------------------
% 2.67/0.83 % (25669)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.67/0.83 % (25669)Termination reason: Refutation
% 2.67/0.83
% 2.67/0.83 % (25669)Memory used [KB]: 5888
% 2.67/0.83 % (25669)Time elapsed: 0.405 s
% 2.67/0.83 % (25669)Instructions burned: 1104 (million)
% 2.67/0.83 % (25664)Success in time 0.456 s
%------------------------------------------------------------------------------