TSTP Solution File: ALG128+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG128+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:56 EDT 2022
% Result : Theorem 3.20s 0.88s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 383
% Syntax : Number of formulae : 2462 ( 170 unt; 0 def)
% Number of atoms : 10623 (5160 equ)
% Maximal formula atoms : 304 ( 4 avg)
% Number of connectives : 14357 (6196 ~;6515 |;1352 &)
% ( 294 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 368 ( 366 usr; 367 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7519,plain,
$false,
inference(avatar_sat_refutation,[],[f896,f905,f931,f961,f970,f979,f1001,f1036,f1054,f1082,f1091,f1138,f1152,f1166,f1194,f1212,f1229,f1276,f1295,f1426,f1445,f1454,f1455,f1539,f1572,f1611,f1625,f1628,f1635,f1637,f1642,f1643,f1648,f1658,f1663,f1680,f1714,f1719,f1725,f1745,f1746,f1832,f1837,f1839,f1848,f1873,f1887,f1893,f1907,f1916,f1921,f1927,f1928,f1929,f1935,f1964,f1965,f1970,f1975,f1976,f1977,f1978,f1983,f1988,f2014,f2027,f2028,f2033,f2034,f2049,f2051,f2052,f2063,f2071,f2159,f2167,f2178,f2184,f2185,f2189,f2194,f2197,f2208,f2209,f2223,f2229,f2258,f2264,f2265,f2297,f2303,f2305,f2307,f2308,f2309,f2311,f2314,f2316,f2317,f2319,f2321,f2324,f2325,f2330,f2331,f2333,f2344,f2350,f2351,f2353,f2360,f2363,f2371,f2372,f2377,f2386,f2398,f2403,f2404,f2409,f2419,f2422,f2428,f2431,f2432,f2447,f2448,f2449,f2454,f2460,f2475,f2476,f2477,f2478,f2489,f2494,f2502,f2503,f2504,f2507,f2511,f2512,f2517,f2522,f2523,f2524,f2536,f2539,f2543,f2546,f2551,f2554,f2556,f2557,f2558,f2559,f2561,f2563,f2564,f2572,f2585,f2588,f2589,f2590,f2593,f2594,f2597,f2598,f2603,f2606,f2609,f2610,f2612,f2613,f2614,f2616,f2627,f2629,f2639,f2641,f2653,f2659,f2660,f2662,f2663,f2665,f2667,f2668,f2690,f2693,f2699,f2702,f2718,f2719,f2721,f2724,f2739,f2740,f2742,f2747,f2749,f2754,f2755,f2756,f2757,f2760,f2761,f2762,f2769,f2771,f2774,f2778,f2793,f2798,f2801,f2804,f2806,f2809,f2818,f2839,f2841,f2844,f2849,f2859,f2869,f2870,f2873,f2874,f2892,f2920,f2922,f2924,f2929,f2930,f2932,f2947,f2953,f3005,f3010,f3011,f3012,f3013,f3034,f3047,f3051,f3062,f3082,f3083,f3090,f3097,f3106,f3109,f3121,f3124,f3127,f3148,f3178,f3185,f3223,f3235,f3258,f3263,f3291,f3304,f3317,f3350,f3353,f3376,f3379,f3387,f3391,f3406,f3409,f3412,f3427,f3429,f3456,f3497,f3504,f3519,f3540,f3552,f3560,f3574,f3578,f3596,f3611,f3616,f3619,f3625,f3632,f3635,f3653,f3656,f3681,f3685,f3690,f3702,f3723,f3736,f3753,f3754,f3759,f3770,f3771,f3775,f3778,f3786,f3792,f3806,f3814,f3853,f3874,f3881,f3890,f3898,f3924,f3939,f3955,f3967,f4000,f4009,f4026,f4029,f4035,f4046,f4051,f4053,f4074,f4082,f4093,f4102,f4107,f4110,f4117,f4123,f4139,f4142,f4143,f4159,f4173,f4184,f4204,f4224,f4229,f4230,f4232,f4237,f4245,f4248,f4252,f4264,f4265,f4273,f4275,f4277,f4280,f4296,f4367,f4389,f4406,f4415,f4429,f4448,f4463,f4474,f4492,f4501,f4506,f4518,f4523,f4535,f4541,f4556,f4562,f4577,f4583,f4591,f4600,f4603,f4606,f4640,f4645,f4677,f4691,f4749,f4758,f4775,f4781,f4787,f4799,f4804,f4818,f4835,f4855,f4860,f4880,f4886,f4895,f4903,f4928,f4931,f4937,f4948,f4960,f4976,f5067,f5089,f5092,f5095,f5108,f5114,f5167,f5180,f5186,f5187,f5202,f5220,f5265,f5292,f5297,f5305,f5308,f5347,f5349,f5375,f5428,f5482,f5498,f5505,f5513,f5535,f5566,f5573,f5577,f5597,f5616,f5637,f5644,f5646,f5660,f5662,f5666,f5699,f5706,f5715,f5718,f5741,f5748,f5751,f5786,f5804,f5839,f5876,f5886,f5890,f5934,f5942,f5951,f5972,f5984,f5986,f6066,f6078,f6134,f6232,f6255,f6270,f6276,f6286,f6300,f6305,f6315,f6328,f6334,f6344,f6357,f6363,f6376,f6378,f6389,f6391,f6396,f6402,f6404,f6422,f6446,f6498,f6532,f6571,f6583,f6589,f6599,f6604,f6612,f6621,f6633,f6638,f6647,f6660,f6670,f6672,f6679,f6685,f6687,f6693,f6701,f6708,f6709,f6754,f6763,f6765,f6845,f6881,f6885,f6887,f6912,f6929,f6932,f6945,f6960,f6966,f6990,f7014,f7031,f7142,f7160,f7177,f7187,f7197,f7203,f7213,f7227,f7233,f7247,f7253,f7263,f7271,f7277,f7285,f7289,f7291,f7341,f7349,f7453,f7464,f7474,f7488,f7494,f7504,f7514]) ).
fof(f7514,plain,
( ~ spl72_17
| ~ spl72_89
| spl72_115
| ~ spl72_173
| ~ spl72_289 ),
inference(avatar_contradiction_clause,[],[f7513]) ).
fof(f7513,plain,
( $false
| ~ spl72_17
| ~ spl72_89
| spl72_115
| ~ spl72_173
| ~ spl72_289 ),
inference(subsumption_resolution,[],[f7512,f930]) ).
fof(f930,plain,
( e23 = op2(e23,e20)
| ~ spl72_17 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl72_17
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_17])]) ).
fof(f7512,plain,
( e23 != op2(e23,e20)
| ~ spl72_89
| spl72_115
| ~ spl72_173
| ~ spl72_289 ),
inference(forward_demodulation,[],[f7511,f2348]) ).
fof(f2348,plain,
( e23 = h1(e13)
| ~ spl72_289 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2347,plain,
( spl72_289
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_289])]) ).
fof(f7511,plain,
( op2(e23,e20) != h1(e13)
| ~ spl72_89
| spl72_115
| ~ spl72_173
| ~ spl72_289 ),
inference(forward_demodulation,[],[f7510,f1258]) ).
fof(f1258,plain,
( e13 = op1(e13,e12)
| ~ spl72_89 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1256,plain,
( spl72_89
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_89])]) ).
fof(f7510,plain,
( op2(e23,e20) != h1(op1(e13,e12))
| spl72_115
| ~ spl72_173
| ~ spl72_289 ),
inference(forward_demodulation,[],[f7509,f2348]) ).
fof(f7509,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| spl72_115
| ~ spl72_173 ),
inference(forward_demodulation,[],[f1368,f1640]) ).
fof(f1640,plain,
( e20 = h1(e12)
| ~ spl72_173 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f1639,plain,
( spl72_173
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_173])]) ).
fof(f1368,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl72_115 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1366,plain,
( spl72_115
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_115])]) ).
fof(f7504,plain,
( ~ spl72_91
| spl72_113
| ~ spl72_296
| ~ spl72_304
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f7503]) ).
fof(f7503,plain,
( $false
| ~ spl72_91
| spl72_113
| ~ spl72_296
| ~ spl72_304
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f7502,f2493]) ).
fof(f2493,plain,
( e22 = op2(e21,e22)
| ~ spl72_304 ),
inference(avatar_component_clause,[],[f2491]) ).
fof(f2491,plain,
( spl72_304
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_304])]) ).
fof(f7502,plain,
( e22 != op2(e21,e22)
| ~ spl72_91
| spl72_113
| ~ spl72_296
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7501,f2407]) ).
fof(f2407,plain,
( e22 = h1(e11)
| ~ spl72_296 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f2406,plain,
( spl72_296
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_296])]) ).
fof(f7501,plain,
( op2(e21,e22) != h1(e11)
| ~ spl72_91
| spl72_113
| ~ spl72_296
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7500,f1267]) ).
fof(f1267,plain,
( e11 = op1(e10,e11)
| ~ spl72_91 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1265,plain,
( spl72_91
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_91])]) ).
fof(f7500,plain,
( op2(e21,e22) != h1(op1(e10,e11))
| spl72_113
| ~ spl72_296
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7499,f2515]) ).
fof(f2515,plain,
( e21 = h1(e10)
| ~ spl72_306 ),
inference(avatar_component_clause,[],[f2514]) ).
fof(f2514,plain,
( spl72_306
<=> e21 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_306])]) ).
fof(f7499,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e22)
| spl72_113
| ~ spl72_296 ),
inference(forward_demodulation,[],[f1360,f2407]) ).
fof(f1360,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl72_113 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1358,plain,
( spl72_113
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_113])]) ).
fof(f7494,plain,
( ~ spl72_83
| spl72_110
| ~ spl72_215
| ~ spl72_289
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f7493]) ).
fof(f7493,plain,
( $false
| ~ spl72_83
| spl72_110
| ~ spl72_215
| ~ spl72_289
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f7492,f1228]) ).
fof(f1228,plain,
( e23 = op2(e21,e23)
| ~ spl72_83 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1226,plain,
( spl72_83
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_83])]) ).
fof(f7492,plain,
( e23 != op2(e21,e23)
| spl72_110
| ~ spl72_215
| ~ spl72_289
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7491,f2348]) ).
fof(f7491,plain,
( op2(e21,e23) != h1(e13)
| spl72_110
| ~ spl72_215
| ~ spl72_289
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7490,f1843]) ).
fof(f1843,plain,
( e13 = op1(e10,e13)
| ~ spl72_215 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1841,plain,
( spl72_215
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_215])]) ).
fof(f7490,plain,
( op2(e21,e23) != h1(op1(e10,e13))
| spl72_110
| ~ spl72_289
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7489,f2515]) ).
fof(f7489,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl72_110
| ~ spl72_289 ),
inference(forward_demodulation,[],[f1348,f2348]) ).
fof(f1348,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl72_110 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1346,plain,
( spl72_110
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_110])]) ).
fof(f7488,plain,
( ~ spl72_34
| spl72_109
| ~ spl72_282
| ~ spl72_289
| ~ spl72_296
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f7487]) ).
fof(f7487,plain,
( $false
| ~ spl72_34
| spl72_109
| ~ spl72_282
| ~ spl72_289
| ~ spl72_296
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f7486,f1005]) ).
fof(f1005,plain,
( e22 = op2(e23,e21)
| ~ spl72_34 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1003,plain,
( spl72_34
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_34])]) ).
fof(f7486,plain,
( e22 != op2(e23,e21)
| spl72_109
| ~ spl72_282
| ~ spl72_289
| ~ spl72_296
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7485,f2407]) ).
fof(f7485,plain,
( op2(e23,e21) != h1(e11)
| spl72_109
| ~ spl72_282
| ~ spl72_289
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7484,f2263]) ).
fof(f2263,plain,
( e11 = op1(e13,e10)
| ~ spl72_282 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f2261,plain,
( spl72_282
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_282])]) ).
fof(f7484,plain,
( op2(e23,e21) != h1(op1(e13,e10))
| spl72_109
| ~ spl72_289
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7483,f2348]) ).
fof(f7483,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e21)
| spl72_109
| ~ spl72_306 ),
inference(forward_demodulation,[],[f1344,f2515]) ).
fof(f1344,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl72_109 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1342,plain,
( spl72_109
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_109])]) ).
fof(f7474,plain,
( ~ spl72_68
| spl72_114
| ~ spl72_173
| ~ spl72_289
| ~ spl72_296
| ~ spl72_307 ),
inference(avatar_contradiction_clause,[],[f7473]) ).
fof(f7473,plain,
( $false
| ~ spl72_68
| spl72_114
| ~ spl72_173
| ~ spl72_289
| ~ spl72_296
| ~ spl72_307 ),
inference(subsumption_resolution,[],[f7472,f1161]) ).
fof(f1161,plain,
( e20 = op2(e23,e22)
| ~ spl72_68 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1159,plain,
( spl72_68
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_68])]) ).
fof(f7472,plain,
( e20 != op2(e23,e22)
| spl72_114
| ~ spl72_173
| ~ spl72_289
| ~ spl72_296
| ~ spl72_307 ),
inference(forward_demodulation,[],[f7471,f1640]) ).
fof(f7471,plain,
( op2(e23,e22) != h1(e12)
| spl72_114
| ~ spl72_289
| ~ spl72_296
| ~ spl72_307 ),
inference(forward_demodulation,[],[f7470,f2521]) ).
fof(f2521,plain,
( e12 = op1(e13,e11)
| ~ spl72_307 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f2519,plain,
( spl72_307
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_307])]) ).
fof(f7470,plain,
( op2(e23,e22) != h1(op1(e13,e11))
| spl72_114
| ~ spl72_289
| ~ spl72_296 ),
inference(forward_demodulation,[],[f7469,f2348]) ).
fof(f7469,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e22)
| spl72_114
| ~ spl72_296 ),
inference(forward_demodulation,[],[f1364,f2407]) ).
fof(f1364,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl72_114 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1362,plain,
( spl72_114
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_114])]) ).
fof(f7464,plain,
( ~ spl72_62
| ~ spl72_73
| spl72_99
| ~ spl72_289
| ~ spl72_296 ),
inference(avatar_contradiction_clause,[],[f7463]) ).
fof(f7463,plain,
( $false
| ~ spl72_62
| ~ spl72_73
| spl72_99
| ~ spl72_289
| ~ spl72_296 ),
inference(subsumption_resolution,[],[f7462,f1184]) ).
fof(f1184,plain,
( e22 = op2(e22,e23)
| ~ spl72_73 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1182,plain,
( spl72_73
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_73])]) ).
fof(f7462,plain,
( e22 != op2(e22,e23)
| ~ spl72_62
| spl72_99
| ~ spl72_289
| ~ spl72_296 ),
inference(forward_demodulation,[],[f7461,f2407]) ).
fof(f7461,plain,
( op2(e22,e23) != h1(e11)
| ~ spl72_62
| spl72_99
| ~ spl72_289
| ~ spl72_296 ),
inference(forward_demodulation,[],[f7460,f1133]) ).
fof(f1133,plain,
( e11 = op1(e11,e13)
| ~ spl72_62 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1131,plain,
( spl72_62
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_62])]) ).
fof(f7460,plain,
( op2(e22,e23) != h1(op1(e11,e13))
| spl72_99
| ~ spl72_289
| ~ spl72_296 ),
inference(forward_demodulation,[],[f7459,f2407]) ).
fof(f7459,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| spl72_99
| ~ spl72_289 ),
inference(forward_demodulation,[],[f1304,f2348]) ).
fof(f1304,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl72_99 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f1302,plain,
( spl72_99
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_99])]) ).
fof(f7453,plain,
( spl72_107
| ~ spl72_221
| ~ spl72_289
| ~ spl72_296
| ~ spl72_300
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f7452]) ).
fof(f7452,plain,
( $false
| spl72_107
| ~ spl72_221
| ~ spl72_289
| ~ spl72_296
| ~ spl72_300
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f7451,f2464]) ).
fof(f2464,plain,
( e23 = op2(e22,e21)
| ~ spl72_300 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2462,plain,
( spl72_300
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_300])]) ).
fof(f7451,plain,
( e23 != op2(e22,e21)
| spl72_107
| ~ spl72_221
| ~ spl72_289
| ~ spl72_296
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7450,f2348]) ).
fof(f7450,plain,
( op2(e22,e21) != h1(e13)
| spl72_107
| ~ spl72_221
| ~ spl72_296
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7449,f1882]) ).
fof(f1882,plain,
( e13 = op1(e11,e10)
| ~ spl72_221 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f1880,plain,
( spl72_221
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_221])]) ).
fof(f7449,plain,
( op2(e22,e21) != h1(op1(e11,e10))
| spl72_107
| ~ spl72_296
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7448,f2407]) ).
fof(f7448,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e21)
| spl72_107
| ~ spl72_306 ),
inference(forward_demodulation,[],[f1336,f2515]) ).
fof(f1336,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl72_107 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1334,plain,
( spl72_107
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_107])]) ).
fof(f7349,plain,
( ~ spl72_185
| ~ spl72_161
| spl72_199
| ~ spl72_303 ),
inference(avatar_split_clause,[],[f7348,f2486,f1773,f1574,f1699]) ).
fof(f1699,plain,
( spl72_185
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_185])]) ).
fof(f1574,plain,
( spl72_161
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_161])]) ).
fof(f1773,plain,
( spl72_199
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_199])]) ).
fof(f2486,plain,
( spl72_303
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_303])]) ).
fof(f7348,plain,
( op2(e20,e20) != e23
| ~ spl72_161
| spl72_199
| ~ spl72_303 ),
inference(forward_demodulation,[],[f7347,f383]) ).
fof(f383,plain,
e23 = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( h4(e13) = op2(e23,op2(e23,e23))
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& e23 = h4(e12)
& op2(e23,e23) = h4(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f7347,plain,
( op2(e20,e20) != h4(e12)
| ~ spl72_161
| spl72_199
| ~ spl72_303 ),
inference(forward_demodulation,[],[f7346,f1575]) ).
fof(f1575,plain,
( op1(e10,e10) = e12
| ~ spl72_161 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f7346,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| spl72_199
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1775,f2487]) ).
fof(f2487,plain,
( e20 = h4(e10)
| ~ spl72_303 ),
inference(avatar_component_clause,[],[f2486]) ).
fof(f1775,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl72_199 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f7341,plain,
( ~ spl72_11
| spl72_108
| ~ spl72_164
| ~ spl72_289
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f7340]) ).
fof(f7340,plain,
( $false
| ~ spl72_11
| spl72_108
| ~ spl72_164
| ~ spl72_289
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f7339,f904]) ).
fof(f904,plain,
( e21 = op2(e23,e23)
| ~ spl72_11 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f902,plain,
( spl72_11
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_11])]) ).
fof(f7339,plain,
( e21 != op2(e23,e23)
| spl72_108
| ~ spl72_164
| ~ spl72_289
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7338,f2515]) ).
fof(f7338,plain,
( op2(e23,e23) != h1(e10)
| spl72_108
| ~ spl72_164
| ~ spl72_289 ),
inference(forward_demodulation,[],[f7337,f1590]) ).
fof(f1590,plain,
( e10 = op1(e13,e13)
| ~ spl72_164 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1589,plain,
( spl72_164
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_164])]) ).
fof(f7337,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| spl72_108
| ~ spl72_289 ),
inference(forward_demodulation,[],[f1340,f2348]) ).
fof(f1340,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl72_108 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1338,plain,
( spl72_108
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_108])]) ).
fof(f7291,plain,
( ~ spl72_170
| ~ spl72_285 ),
inference(avatar_split_clause,[],[f7290,f2294,f1617]) ).
fof(f1617,plain,
( spl72_170
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_170])]) ).
fof(f2294,plain,
( spl72_285
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_285])]) ).
fof(f7290,plain,
( e23 != op2(e23,e22)
| ~ spl72_285 ),
inference(backward_demodulation,[],[f738,f2296]) ).
fof(f2296,plain,
( e23 = op2(e20,e22)
| ~ spl72_285 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f738,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e20,e23)
& op2(e22,e20) != op2(e22,e23)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e23) != op2(e22,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e21,e20)
& op2(e21,e20) != op2(e21,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e21,e21) != op2(e22,e21)
& op2(e22,e21) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e21) != op2(e22,e22)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e22) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7289,plain,
( ~ spl72_67
| ~ spl72_43 ),
inference(avatar_split_clause,[],[f7287,f1042,f1155]) ).
fof(f1155,plain,
( spl72_67
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_67])]) ).
fof(f1042,plain,
( spl72_43
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_43])]) ).
fof(f7287,plain,
( e20 != op2(e20,e22)
| ~ spl72_43 ),
inference(backward_demodulation,[],[f745,f1044]) ).
fof(f1044,plain,
( e20 = op2(e20,e23)
| ~ spl72_43 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f745,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f7285,plain,
( spl72_67
| ~ spl72_41
| ~ spl72_214
| ~ spl72_255
| ~ spl72_290 ),
inference(avatar_split_clause,[],[f7284,f2357,f2086,f1834,f1033,f1155]) ).
fof(f1033,plain,
( spl72_41
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_41])]) ).
fof(f1834,plain,
( spl72_214
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_214])]) ).
fof(f2086,plain,
( spl72_255
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_255])]) ).
fof(f2357,plain,
( spl72_290
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_290])]) ).
fof(f7284,plain,
( e20 = op2(e20,e22)
| ~ spl72_41
| ~ spl72_214
| ~ spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f7283,f1835]) ).
fof(f1835,plain,
( e20 = h3(e10)
| ~ spl72_214 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f7283,plain,
( op2(e20,e22) = h3(e10)
| ~ spl72_41
| ~ spl72_214
| ~ spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f6443,f1035]) ).
fof(f1035,plain,
( e10 = op1(e10,e12)
| ~ spl72_41 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f6443,plain,
( op2(e20,e22) = h3(op1(e10,e12))
| ~ spl72_214
| ~ spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f6442,f1835]) ).
fof(f6442,plain,
( h3(op1(e10,e12)) = op2(h3(e10),e22)
| ~ spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2087,f2358]) ).
fof(f2358,plain,
( e22 = h3(e12)
| ~ spl72_290 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f2087,plain,
( h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
| ~ spl72_255 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f7277,plain,
( ~ spl72_310
| ~ spl72_17 ),
inference(avatar_split_clause,[],[f7276,f928,f2569]) ).
fof(f2569,plain,
( spl72_310
<=> e23 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_310])]) ).
fof(f7276,plain,
( e23 != h1(e11)
| ~ spl72_17 ),
inference(forward_demodulation,[],[f2791,f930]) ).
fof(f2791,plain,
op2(e23,e20) != h1(e11),
inference(backward_demodulation,[],[f766,f694]) ).
fof(f694,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e13) = op2(e20,op2(e20,e20))
& e20 = h1(e12)
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& op2(e20,e20) = h1(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f766,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f7271,plain,
( ~ spl72_170
| ~ spl72_17 ),
inference(avatar_split_clause,[],[f7270,f928,f1617]) ).
fof(f7270,plain,
( e23 != op2(e23,e22)
| ~ spl72_17 ),
inference(forward_demodulation,[],[f737,f930]) ).
fof(f737,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f7263,plain,
( ~ spl72_25
| spl72_104
| ~ spl72_173
| ~ spl72_225
| ~ spl72_230
| ~ spl72_310 ),
inference(avatar_contradiction_clause,[],[f7262]) ).
fof(f7262,plain,
( $false
| ~ spl72_25
| spl72_104
| ~ spl72_173
| ~ spl72_225
| ~ spl72_230
| ~ spl72_310 ),
inference(subsumption_resolution,[],[f7261,f1902]) ).
fof(f1902,plain,
( e22 = op2(e20,e23)
| ~ spl72_225 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f1900,plain,
( spl72_225
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_225])]) ).
fof(f7261,plain,
( e22 != op2(e20,e23)
| ~ spl72_25
| spl72_104
| ~ spl72_173
| ~ spl72_230
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7260,f964]) ).
fof(f964,plain,
( e22 = h1(e13)
| ~ spl72_25 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f963,plain,
( spl72_25
<=> e22 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_25])]) ).
fof(f7260,plain,
( op2(e20,e23) != h1(e13)
| spl72_104
| ~ spl72_173
| ~ spl72_230
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7259,f1925]) ).
fof(f1925,plain,
( e13 = op1(e12,e11)
| ~ spl72_230 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f1923,plain,
( spl72_230
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_230])]) ).
fof(f7259,plain,
( op2(e20,e23) != h1(op1(e12,e11))
| spl72_104
| ~ spl72_173
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7258,f1640]) ).
fof(f7258,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e23)
| spl72_104
| ~ spl72_310 ),
inference(forward_demodulation,[],[f1324,f2570]) ).
fof(f2570,plain,
( e23 = h1(e11)
| ~ spl72_310 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f1324,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl72_104 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f1322,plain,
( spl72_104
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_104])]) ).
fof(f7253,plain,
( spl72_105
| ~ spl72_167
| ~ spl72_173
| ~ spl72_229
| ~ spl72_310 ),
inference(avatar_contradiction_clause,[],[f7252]) ).
fof(f7252,plain,
( $false
| spl72_105
| ~ spl72_167
| ~ spl72_173
| ~ spl72_229
| ~ spl72_310 ),
inference(subsumption_resolution,[],[f7251,f1606]) ).
fof(f1606,plain,
( e20 = op2(e23,e20)
| ~ spl72_167 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1604,plain,
( spl72_167
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_167])]) ).
fof(f7251,plain,
( e20 != op2(e23,e20)
| spl72_105
| ~ spl72_173
| ~ spl72_229
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7250,f1640]) ).
fof(f7250,plain,
( op2(e23,e20) != h1(e12)
| spl72_105
| ~ spl72_173
| ~ spl72_229
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7249,f1920]) ).
fof(f1920,plain,
( e12 = op1(e11,e12)
| ~ spl72_229 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f1918,plain,
( spl72_229
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_229])]) ).
fof(f7249,plain,
( op2(e23,e20) != h1(op1(e11,e12))
| spl72_105
| ~ spl72_173
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7248,f2570]) ).
fof(f7248,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| spl72_105
| ~ spl72_173 ),
inference(forward_demodulation,[],[f1328,f1640]) ).
fof(f1328,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl72_105 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f1326,plain,
( spl72_105
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_105])]) ).
fof(f7247,plain,
( ~ spl72_74
| spl72_116
| ~ spl72_173
| ~ spl72_179
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f7246]) ).
fof(f7246,plain,
( $false
| ~ spl72_74
| spl72_116
| ~ spl72_173
| ~ spl72_179
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f7245,f1675]) ).
fof(f1675,plain,
( e21 = op2(e20,e21)
| ~ spl72_179 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f1673,plain,
( spl72_179
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_179])]) ).
fof(f7245,plain,
( e21 != op2(e20,e21)
| ~ spl72_74
| spl72_116
| ~ spl72_173
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7244,f2515]) ).
fof(f7244,plain,
( op2(e20,e21) != h1(e10)
| ~ spl72_74
| spl72_116
| ~ spl72_173
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7243,f1189]) ).
fof(f1189,plain,
( e10 = op1(e12,e10)
| ~ spl72_74 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1187,plain,
( spl72_74
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_74])]) ).
fof(f7243,plain,
( op2(e20,e21) != h1(op1(e12,e10))
| spl72_116
| ~ spl72_173
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7242,f1640]) ).
fof(f7242,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e21)
| spl72_116
| ~ spl72_306 ),
inference(forward_demodulation,[],[f1372,f2515]) ).
fof(f1372,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl72_116 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1370,plain,
( spl72_116
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_116])]) ).
fof(f7233,plain,
( ~ spl72_24
| ~ spl72_25
| spl72_114
| ~ spl72_173
| ~ spl72_307
| ~ spl72_310 ),
inference(avatar_contradiction_clause,[],[f7232]) ).
fof(f7232,plain,
( $false
| ~ spl72_24
| ~ spl72_25
| spl72_114
| ~ spl72_173
| ~ spl72_307
| ~ spl72_310 ),
inference(subsumption_resolution,[],[f7231,f960]) ).
fof(f960,plain,
( e20 = op2(e22,e23)
| ~ spl72_24 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f958,plain,
( spl72_24
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_24])]) ).
fof(f7231,plain,
( e20 != op2(e22,e23)
| ~ spl72_25
| spl72_114
| ~ spl72_173
| ~ spl72_307
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7230,f1640]) ).
fof(f7230,plain,
( op2(e22,e23) != h1(e12)
| ~ spl72_25
| spl72_114
| ~ spl72_307
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7229,f2521]) ).
fof(f7229,plain,
( op2(e22,e23) != h1(op1(e13,e11))
| ~ spl72_25
| spl72_114
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7228,f964]) ).
fof(f7228,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e23)
| spl72_114
| ~ spl72_310 ),
inference(forward_demodulation,[],[f1364,f2570]) ).
fof(f7227,plain,
( ~ spl72_83
| ~ spl72_91
| spl72_113
| ~ spl72_306
| ~ spl72_310 ),
inference(avatar_contradiction_clause,[],[f7226]) ).
fof(f7226,plain,
( $false
| ~ spl72_83
| ~ spl72_91
| spl72_113
| ~ spl72_306
| ~ spl72_310 ),
inference(subsumption_resolution,[],[f7225,f1228]) ).
fof(f7225,plain,
( e23 != op2(e21,e23)
| ~ spl72_91
| spl72_113
| ~ spl72_306
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7224,f2570]) ).
fof(f7224,plain,
( op2(e21,e23) != h1(e11)
| ~ spl72_91
| spl72_113
| ~ spl72_306
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7223,f1267]) ).
fof(f7223,plain,
( op2(e21,e23) != h1(op1(e10,e11))
| spl72_113
| ~ spl72_306
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7222,f2515]) ).
fof(f7222,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e23)
| spl72_113
| ~ spl72_310 ),
inference(forward_demodulation,[],[f1360,f2570]) ).
fof(f7213,plain,
( ~ spl72_25
| spl72_110
| ~ spl72_215
| ~ spl72_304
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f7212]) ).
fof(f7212,plain,
( $false
| ~ spl72_25
| spl72_110
| ~ spl72_215
| ~ spl72_304
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f7211,f2493]) ).
fof(f7211,plain,
( e22 != op2(e21,e22)
| ~ spl72_25
| spl72_110
| ~ spl72_215
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7210,f964]) ).
fof(f7210,plain,
( op2(e21,e22) != h1(e13)
| ~ spl72_25
| spl72_110
| ~ spl72_215
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7209,f1843]) ).
fof(f7209,plain,
( op2(e21,e22) != h1(op1(e10,e13))
| ~ spl72_25
| spl72_110
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7208,f2515]) ).
fof(f7208,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e22)
| ~ spl72_25
| spl72_110 ),
inference(forward_demodulation,[],[f1348,f964]) ).
fof(f7203,plain,
( ~ spl72_25
| spl72_109
| ~ spl72_282
| ~ spl72_300
| ~ spl72_306
| ~ spl72_310 ),
inference(avatar_contradiction_clause,[],[f7202]) ).
fof(f7202,plain,
( $false
| ~ spl72_25
| spl72_109
| ~ spl72_282
| ~ spl72_300
| ~ spl72_306
| ~ spl72_310 ),
inference(subsumption_resolution,[],[f7201,f2464]) ).
fof(f7201,plain,
( e23 != op2(e22,e21)
| ~ spl72_25
| spl72_109
| ~ spl72_282
| ~ spl72_306
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7200,f2570]) ).
fof(f7200,plain,
( op2(e22,e21) != h1(e11)
| ~ spl72_25
| spl72_109
| ~ spl72_282
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7199,f2263]) ).
fof(f7199,plain,
( op2(e22,e21) != h1(op1(e13,e10))
| ~ spl72_25
| spl72_109
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7198,f964]) ).
fof(f7198,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e21)
| spl72_109
| ~ spl72_306 ),
inference(forward_demodulation,[],[f1344,f2515]) ).
fof(f7197,plain,
( ~ spl72_25
| ~ spl72_34
| spl72_107
| ~ spl72_221
| ~ spl72_306
| ~ spl72_310 ),
inference(avatar_contradiction_clause,[],[f7196]) ).
fof(f7196,plain,
( $false
| ~ spl72_25
| ~ spl72_34
| spl72_107
| ~ spl72_221
| ~ spl72_306
| ~ spl72_310 ),
inference(subsumption_resolution,[],[f7195,f1005]) ).
fof(f7195,plain,
( e22 != op2(e23,e21)
| ~ spl72_25
| spl72_107
| ~ spl72_221
| ~ spl72_306
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7194,f964]) ).
fof(f7194,plain,
( op2(e23,e21) != h1(e13)
| spl72_107
| ~ spl72_221
| ~ spl72_306
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7193,f1882]) ).
fof(f7193,plain,
( op2(e23,e21) != h1(op1(e11,e10))
| spl72_107
| ~ spl72_306
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7192,f2570]) ).
fof(f7192,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e21)
| spl72_107
| ~ spl72_306 ),
inference(forward_demodulation,[],[f1336,f2515]) ).
fof(f7187,plain,
( ~ spl72_41
| spl72_106
| ~ spl72_173
| ~ spl72_253
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f7186]) ).
fof(f7186,plain,
( $false
| ~ spl72_41
| spl72_106
| ~ spl72_173
| ~ spl72_253
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f7185,f2068]) ).
fof(f2068,plain,
( e21 = op2(e21,e20)
| ~ spl72_253 ),
inference(avatar_component_clause,[],[f2067]) ).
fof(f2067,plain,
( spl72_253
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_253])]) ).
fof(f7185,plain,
( e21 != op2(e21,e20)
| ~ spl72_41
| spl72_106
| ~ spl72_173
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7184,f2515]) ).
fof(f7184,plain,
( op2(e21,e20) != h1(e10)
| ~ spl72_41
| spl72_106
| ~ spl72_173
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7183,f1035]) ).
fof(f7183,plain,
( op2(e21,e20) != h1(op1(e10,e12))
| spl72_106
| ~ spl72_173
| ~ spl72_306 ),
inference(forward_demodulation,[],[f7182,f2515]) ).
fof(f7182,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e20)
| spl72_106
| ~ spl72_173 ),
inference(forward_demodulation,[],[f1332,f1640]) ).
fof(f1332,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl72_106 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1330,plain,
( spl72_106
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_106])]) ).
fof(f7177,plain,
( ~ spl72_25
| ~ spl72_62
| spl72_99
| ~ spl72_170
| ~ spl72_310 ),
inference(avatar_contradiction_clause,[],[f7176]) ).
fof(f7176,plain,
( $false
| ~ spl72_25
| ~ spl72_62
| spl72_99
| ~ spl72_170
| ~ spl72_310 ),
inference(subsumption_resolution,[],[f7175,f1619]) ).
fof(f1619,plain,
( e23 = op2(e23,e22)
| ~ spl72_170 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f7175,plain,
( e23 != op2(e23,e22)
| ~ spl72_25
| ~ spl72_62
| spl72_99
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7174,f2570]) ).
fof(f7174,plain,
( op2(e23,e22) != h1(e11)
| ~ spl72_25
| ~ spl72_62
| spl72_99
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7173,f1133]) ).
fof(f7173,plain,
( op2(e23,e22) != h1(op1(e11,e13))
| ~ spl72_25
| spl72_99
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7172,f2570]) ).
fof(f7172,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e22)
| ~ spl72_25
| spl72_99 ),
inference(forward_demodulation,[],[f1304,f964]) ).
fof(f7160,plain,
( ~ spl72_25
| ~ spl72_86
| ~ spl72_89
| spl72_115
| ~ spl72_173 ),
inference(avatar_contradiction_clause,[],[f7159]) ).
fof(f7159,plain,
( $false
| ~ spl72_25
| ~ spl72_86
| ~ spl72_89
| spl72_115
| ~ spl72_173 ),
inference(subsumption_resolution,[],[f7157,f1244]) ).
fof(f1244,plain,
( e22 = op2(e22,e20)
| ~ spl72_86 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1242,plain,
( spl72_86
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_86])]) ).
fof(f7157,plain,
( e22 != op2(e22,e20)
| ~ spl72_25
| ~ spl72_89
| spl72_115
| ~ spl72_173 ),
inference(backward_demodulation,[],[f7143,f964]) ).
fof(f7143,plain,
( h1(e13) != op2(h1(e13),e20)
| ~ spl72_89
| spl72_115
| ~ spl72_173 ),
inference(forward_demodulation,[],[f6062,f1258]) ).
fof(f6062,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| spl72_115
| ~ spl72_173 ),
inference(forward_demodulation,[],[f1368,f1640]) ).
fof(f7142,plain,
( spl72_25
| ~ spl72_225
| ~ spl72_310 ),
inference(avatar_split_clause,[],[f7141,f2569,f1900,f963]) ).
fof(f7141,plain,
( e22 = h1(e13)
| ~ spl72_225
| ~ spl72_310 ),
inference(forward_demodulation,[],[f7140,f1902]) ).
fof(f7140,plain,
( op2(e20,e23) = h1(e13)
| ~ spl72_310 ),
inference(forward_demodulation,[],[f2785,f2570]) ).
fof(f2785,plain,
h1(e13) = op2(e20,h1(e11)),
inference(backward_demodulation,[],[f697,f694]) ).
fof(f697,plain,
h1(e13) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f7031,plain,
( ~ spl72_283
| ~ spl72_253 ),
inference(avatar_split_clause,[],[f7027,f2067,f2268]) ).
fof(f2268,plain,
( spl72_283
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_283])]) ).
fof(f7027,plain,
( e21 != h1(e11)
| ~ spl72_253 ),
inference(backward_demodulation,[],[f2788,f2068]) ).
fof(f2788,plain,
op2(e21,e20) != h1(e11),
inference(backward_demodulation,[],[f756,f694]) ).
fof(f756,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f7014,plain,
( spl72_275
| ~ spl72_11 ),
inference(avatar_split_clause,[],[f7013,f902,f2200]) ).
fof(f2200,plain,
( spl72_275
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_275])]) ).
fof(f7013,plain,
( e21 = h4(e11)
| ~ spl72_11 ),
inference(forward_demodulation,[],[f382,f904]) ).
fof(f382,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f6990,plain,
( ~ spl72_73
| ~ spl72_225 ),
inference(avatar_split_clause,[],[f6988,f1900,f1182]) ).
fof(f6988,plain,
( e22 != op2(e22,e23)
| ~ spl72_225 ),
inference(backward_demodulation,[],[f762,f1902]) ).
fof(f762,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6966,plain,
( ~ spl72_227
| ~ spl72_83 ),
inference(avatar_split_clause,[],[f6961,f1226,f1909]) ).
fof(f1909,plain,
( spl72_227
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_227])]) ).
fof(f6961,plain,
( e23 != op2(e20,e23)
| ~ spl72_83 ),
inference(backward_demodulation,[],[f743,f1228]) ).
fof(f743,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6960,plain,
( spl72_80
| ~ spl72_56
| ~ spl72_214
| ~ spl72_221
| ~ spl72_262 ),
inference(avatar_split_clause,[],[f6831,f2114,f1880,f1834,f1106,f1214]) ).
fof(f1214,plain,
( spl72_80
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_80])]) ).
fof(f1106,plain,
( spl72_56
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_56])]) ).
fof(f2114,plain,
( spl72_262
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_262])]) ).
fof(f6831,plain,
( e23 = op2(e21,e20)
| ~ spl72_56
| ~ spl72_214
| ~ spl72_221
| ~ spl72_262 ),
inference(forward_demodulation,[],[f6830,f2065]) ).
fof(f2065,plain,
e23 = h3(e13),
inference(forward_demodulation,[],[f2064,f1874]) ).
fof(f1874,plain,
e23 = op2(e22,h3(e11)),
inference(forward_demodulation,[],[f775,f720]) ).
fof(f720,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e11)
& op2(op2(e22,e22),op2(e22,e22)) = h3(e10)
& op2(e22,op2(e22,e22)) = h3(e13)
& e22 = h3(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f775,plain,
e23 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e21 = op2(e22,e22)
& e20 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f2064,plain,
h3(e13) = op2(e22,h3(e11)),
inference(forward_demodulation,[],[f718,f720]) ).
fof(f718,plain,
op2(e22,op2(e22,e22)) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f6830,plain,
( op2(e21,e20) = h3(e13)
| ~ spl72_56
| ~ spl72_214
| ~ spl72_221
| ~ spl72_262 ),
inference(forward_demodulation,[],[f6829,f1882]) ).
fof(f6829,plain,
( op2(e21,e20) = h3(op1(e11,e10))
| ~ spl72_56
| ~ spl72_214
| ~ spl72_262 ),
inference(forward_demodulation,[],[f6828,f1108]) ).
fof(f1108,plain,
( e21 = h3(e11)
| ~ spl72_56 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f6828,plain,
( h3(op1(e11,e10)) = op2(h3(e11),e20)
| ~ spl72_214
| ~ spl72_262 ),
inference(forward_demodulation,[],[f2115,f1835]) ).
fof(f2115,plain,
( h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
| ~ spl72_262 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f6945,plain,
( ~ spl72_121
| ~ spl72_56
| ~ spl72_62
| spl72_270 ),
inference(avatar_split_clause,[],[f6944,f2146,f1131,f1106,f1391]) ).
fof(f1391,plain,
( spl72_121
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_121])]) ).
fof(f2146,plain,
( spl72_270
<=> h3(op1(e11,e13)) = op2(h3(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_270])]) ).
fof(f6944,plain,
( e21 != op2(e21,e23)
| ~ spl72_56
| ~ spl72_62
| spl72_270 ),
inference(forward_demodulation,[],[f6943,f1108]) ).
fof(f6943,plain,
( op2(e21,e23) != h3(e11)
| ~ spl72_56
| ~ spl72_62
| spl72_270 ),
inference(forward_demodulation,[],[f6942,f1133]) ).
fof(f6942,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl72_56
| spl72_270 ),
inference(forward_demodulation,[],[f2148,f1108]) ).
fof(f2148,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl72_270 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f6932,plain,
( ~ spl72_274
| ~ spl72_164
| ~ spl72_214
| spl72_277 ),
inference(avatar_split_clause,[],[f6931,f2220,f1834,f1589,f2181]) ).
fof(f2181,plain,
( spl72_274
<=> e20 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_274])]) ).
fof(f2220,plain,
( spl72_277
<=> h4(e11) = h3(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_277])]) ).
fof(f6931,plain,
( e20 != h4(e11)
| ~ spl72_164
| ~ spl72_214
| spl72_277 ),
inference(forward_demodulation,[],[f6930,f1835]) ).
fof(f6930,plain,
( h3(e10) != h4(e11)
| ~ spl72_164
| spl72_277 ),
inference(forward_demodulation,[],[f2222,f1590]) ).
fof(f2222,plain,
( h4(e11) != h3(op1(e13,e13))
| spl72_277 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f6929,plain,
( ~ spl72_292
| ~ spl72_86 ),
inference(avatar_split_clause,[],[f6928,f1242,f2374]) ).
fof(f2374,plain,
( spl72_292
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_292])]) ).
fof(f6928,plain,
( e22 != op2(e21,e20)
| ~ spl72_86 ),
inference(forward_demodulation,[],[f731,f1244]) ).
fof(f731,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6912,plain,
( ~ spl72_73
| ~ spl72_86 ),
inference(avatar_split_clause,[],[f6911,f1242,f1182]) ).
fof(f6911,plain,
( e22 != op2(e22,e23)
| ~ spl72_86 ),
inference(backward_demodulation,[],[f764,f1244]) ).
fof(f764,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6887,plain,
( ~ spl72_166
| ~ spl72_34 ),
inference(avatar_split_clause,[],[f5988,f1003,f1600]) ).
fof(f1600,plain,
( spl72_166
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_166])]) ).
fof(f5988,plain,
( e22 != op2(e23,e20)
| ~ spl72_34 ),
inference(forward_demodulation,[],[f736,f1005]) ).
fof(f736,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f6885,plain,
( ~ spl72_73
| ~ spl72_20
| spl72_261
| ~ spl72_290 ),
inference(avatar_split_clause,[],[f6884,f2357,f2110,f941,f1182]) ).
fof(f941,plain,
( spl72_20
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_20])]) ).
fof(f2110,plain,
( spl72_261
<=> h3(op1(e12,e13)) = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_261])]) ).
fof(f6884,plain,
( e22 != op2(e22,e23)
| ~ spl72_20
| spl72_261
| ~ spl72_290 ),
inference(forward_demodulation,[],[f6883,f2358]) ).
fof(f6883,plain,
( op2(e22,e23) != h3(e12)
| ~ spl72_20
| spl72_261
| ~ spl72_290 ),
inference(forward_demodulation,[],[f6882,f942]) ).
fof(f942,plain,
( e12 = op1(e12,e13)
| ~ spl72_20 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f6882,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| spl72_261
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2112,f2358]) ).
fof(f2112,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl72_261 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f6881,plain,
( ~ spl72_214
| ~ spl72_215
| ~ spl72_227
| spl72_258 ),
inference(avatar_contradiction_clause,[],[f6880]) ).
fof(f6880,plain,
( $false
| ~ spl72_214
| ~ spl72_215
| ~ spl72_227
| spl72_258 ),
inference(subsumption_resolution,[],[f6879,f1911]) ).
fof(f1911,plain,
( e23 = op2(e20,e23)
| ~ spl72_227 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f6879,plain,
( e23 != op2(e20,e23)
| ~ spl72_214
| ~ spl72_215
| spl72_258 ),
inference(forward_demodulation,[],[f6878,f2065]) ).
fof(f6878,plain,
( op2(e20,e23) != h3(e13)
| ~ spl72_214
| ~ spl72_215
| spl72_258 ),
inference(forward_demodulation,[],[f6877,f1843]) ).
fof(f6877,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl72_214
| spl72_258 ),
inference(forward_demodulation,[],[f2100,f1835]) ).
fof(f2100,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl72_258 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f2098,plain,
( spl72_258
<=> h3(op1(e10,e13)) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_258])]) ).
fof(f6845,plain,
( ~ spl72_56
| ~ spl72_168
| ~ spl72_214
| spl72_256
| ~ spl72_282 ),
inference(avatar_contradiction_clause,[],[f6844]) ).
fof(f6844,plain,
( $false
| ~ spl72_56
| ~ spl72_168
| ~ spl72_214
| spl72_256
| ~ spl72_282 ),
inference(subsumption_resolution,[],[f6843,f1610]) ).
fof(f1610,plain,
( e21 = op2(e23,e20)
| ~ spl72_168 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1608,plain,
( spl72_168
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_168])]) ).
fof(f6843,plain,
( e21 != op2(e23,e20)
| ~ spl72_56
| ~ spl72_214
| spl72_256
| ~ spl72_282 ),
inference(forward_demodulation,[],[f6842,f1108]) ).
fof(f6842,plain,
( op2(e23,e20) != h3(e11)
| ~ spl72_214
| spl72_256
| ~ spl72_282 ),
inference(forward_demodulation,[],[f6841,f2263]) ).
fof(f6841,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| ~ spl72_214
| spl72_256 ),
inference(forward_demodulation,[],[f2092,f1835]) ).
fof(f2092,plain,
( h3(op1(e13,e10)) != op2(e23,h3(e10))
| spl72_256 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f2090,plain,
( spl72_256
<=> h3(op1(e13,e10)) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_256])]) ).
fof(f6765,plain,
( ~ spl72_237
| ~ spl72_282 ),
inference(avatar_split_clause,[],[f6764,f2261,f1967]) ).
fof(f1967,plain,
( spl72_237
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_237])]) ).
fof(f6764,plain,
( e11 != op1(e13,e13)
| ~ spl72_282 ),
inference(forward_demodulation,[],[f804,f2263]) ).
fof(f804,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e12,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e10) != op1(e13,e10)
& op1(e12,e12) != op1(e12,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e10,e11)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e10) != op1(e10,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e13,e10) != op1(e13,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e12) != op1(e12,e12)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6763,plain,
( ~ spl72_237
| ~ spl72_62 ),
inference(avatar_split_clause,[],[f6762,f1131,f1967]) ).
fof(f6762,plain,
( e11 != op1(e13,e13)
| ~ spl72_62 ),
inference(forward_demodulation,[],[f795,f1133]) ).
fof(f795,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6754,plain,
( ~ spl72_127
| ~ spl72_215 ),
inference(avatar_split_clause,[],[f6753,f1841,f1419]) ).
fof(f1419,plain,
( spl72_127
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_127])]) ).
fof(f6753,plain,
( e13 != op1(e13,e13)
| ~ spl72_215 ),
inference(forward_demodulation,[],[f807,f1843]) ).
fof(f807,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6709,plain,
( ~ spl72_95
| ~ spl72_91 ),
inference(avatar_split_clause,[],[f6417,f1265,f1283]) ).
fof(f1283,plain,
( spl72_95
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_95])]) ).
fof(f6417,plain,
( op1(e10,e10) != e11
| ~ spl72_91 ),
inference(forward_demodulation,[],[f814,f1267]) ).
fof(f814,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f6708,plain,
( ~ spl72_56
| ~ spl72_80
| ~ spl72_214
| ~ spl72_221
| spl72_262 ),
inference(avatar_contradiction_clause,[],[f6707]) ).
fof(f6707,plain,
( $false
| ~ spl72_56
| ~ spl72_80
| ~ spl72_214
| ~ spl72_221
| spl72_262 ),
inference(subsumption_resolution,[],[f6706,f1216]) ).
fof(f1216,plain,
( e23 = op2(e21,e20)
| ~ spl72_80 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f6706,plain,
( e23 != op2(e21,e20)
| ~ spl72_56
| ~ spl72_214
| ~ spl72_221
| spl72_262 ),
inference(forward_demodulation,[],[f6705,f2065]) ).
fof(f6705,plain,
( op2(e21,e20) != h3(e13)
| ~ spl72_56
| ~ spl72_214
| ~ spl72_221
| spl72_262 ),
inference(forward_demodulation,[],[f5648,f1882]) ).
fof(f5648,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl72_56
| ~ spl72_214
| spl72_262 ),
inference(forward_demodulation,[],[f5647,f1108]) ).
fof(f5647,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl72_214
| spl72_262 ),
inference(forward_demodulation,[],[f2116,f1835]) ).
fof(f2116,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl72_262 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f6701,plain,
( ~ spl72_295
| ~ spl72_62 ),
inference(avatar_split_clause,[],[f6700,f1131,f2400]) ).
fof(f2400,plain,
( spl72_295
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_295])]) ).
fof(f6700,plain,
( e11 != op1(e10,e13)
| ~ spl72_62 ),
inference(forward_demodulation,[],[f803,f1133]) ).
fof(f803,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6693,plain,
( ~ spl72_14
| ~ spl72_62 ),
inference(avatar_split_clause,[],[f6689,f1131,f915]) ).
fof(f915,plain,
( spl72_14
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).
fof(f6689,plain,
( e11 != op1(e11,e10)
| ~ spl72_62 ),
inference(backward_demodulation,[],[f791,f1133]) ).
fof(f791,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6687,plain,
( ~ spl72_33
| ~ spl72_307 ),
inference(avatar_split_clause,[],[f6686,f2519,f998]) ).
fof(f998,plain,
( spl72_33
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_33])]) ).
fof(f6686,plain,
( e12 != op1(e13,e13)
| ~ spl72_307 ),
inference(forward_demodulation,[],[f798,f2521]) ).
fof(f798,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6685,plain,
( ~ spl72_33
| ~ spl72_20 ),
inference(avatar_split_clause,[],[f6684,f941,f998]) ).
fof(f6684,plain,
( e12 != op1(e13,e13)
| ~ spl72_20 ),
inference(forward_demodulation,[],[f782,f942]) ).
fof(f782,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6679,plain,
( ~ spl72_95
| ~ spl72_282 ),
inference(avatar_split_clause,[],[f6678,f2261,f1283]) ).
fof(f6678,plain,
( op1(e10,e10) != e11
| ~ spl72_282 ),
inference(backward_demodulation,[],[f821,f2263]) ).
fof(f821,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f6672,plain,
( ~ spl72_63
| ~ spl72_20 ),
inference(avatar_split_clause,[],[f6671,f941,f1135]) ).
fof(f1135,plain,
( spl72_63
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_63])]) ).
fof(f6671,plain,
( e12 != op1(e11,e13)
| ~ spl72_20 ),
inference(forward_demodulation,[],[f797,f942]) ).
fof(f797,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6670,plain,
( ~ spl72_295
| ~ spl72_91 ),
inference(avatar_split_clause,[],[f6669,f1265,f2400]) ).
fof(f6669,plain,
( e11 != op1(e10,e13)
| ~ spl72_91 ),
inference(forward_demodulation,[],[f822,f1267]) ).
fof(f822,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6660,plain,
( ~ spl72_14
| ~ spl72_67
| spl72_198
| ~ spl72_207
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f6659]) ).
fof(f6659,plain,
( $false
| ~ spl72_14
| ~ spl72_67
| spl72_198
| ~ spl72_207
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f6658,f1157]) ).
fof(f1157,plain,
( e20 = op2(e20,e22)
| ~ spl72_67 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f6658,plain,
( e20 != op2(e20,e22)
| ~ spl72_14
| spl72_198
| ~ spl72_207
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6657,f2182]) ).
fof(f2182,plain,
( e20 = h4(e11)
| ~ spl72_274 ),
inference(avatar_component_clause,[],[f2181]) ).
fof(f6657,plain,
( op2(e20,e22) != h4(e11)
| ~ spl72_14
| spl72_198
| ~ spl72_207
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6656,f917]) ).
fof(f917,plain,
( e11 = op1(e11,e10)
| ~ spl72_14 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f6656,plain,
( op2(e20,e22) != h4(op1(e11,e10))
| spl72_198
| ~ spl72_207
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6655,f2182]) ).
fof(f6655,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e22)
| spl72_198
| ~ spl72_207 ),
inference(forward_demodulation,[],[f1771,f1806]) ).
fof(f1806,plain,
( e22 = h4(e10)
| ~ spl72_207 ),
inference(avatar_component_clause,[],[f1805]) ).
fof(f1805,plain,
( spl72_207
<=> e22 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_207])]) ).
fof(f1771,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl72_198 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1769,plain,
( spl72_198
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_198])]) ).
fof(f6647,plain,
( ~ spl72_23
| ~ spl72_91
| ~ spl72_207
| spl72_208
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f6646]) ).
fof(f6646,plain,
( $false
| ~ spl72_23
| ~ spl72_91
| ~ spl72_207
| spl72_208
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f6645,f956]) ).
fof(f956,plain,
( e20 = op2(e22,e20)
| ~ spl72_23 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f954,plain,
( spl72_23
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_23])]) ).
fof(f6645,plain,
( e20 != op2(e22,e20)
| ~ spl72_91
| ~ spl72_207
| spl72_208
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6644,f2182]) ).
fof(f6644,plain,
( op2(e22,e20) != h4(e11)
| ~ spl72_91
| ~ spl72_207
| spl72_208
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6643,f1267]) ).
fof(f6643,plain,
( op2(e22,e20) != h4(op1(e10,e11))
| ~ spl72_207
| spl72_208
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6642,f1806]) ).
fof(f6642,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e20)
| spl72_208
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1811,f2182]) ).
fof(f1811,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl72_208 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f1809,plain,
( spl72_208
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_208])]) ).
fof(f6638,plain,
( ~ spl72_126
| spl72_213
| ~ spl72_237
| ~ spl72_240
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f6637]) ).
fof(f6637,plain,
( $false
| ~ spl72_126
| spl72_213
| ~ spl72_237
| ~ spl72_240
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f6636,f1416]) ).
fof(f1416,plain,
( e20 = op2(e21,e21)
| ~ spl72_126 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f1414,plain,
( spl72_126
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_126])]) ).
fof(f6636,plain,
( e20 != op2(e21,e21)
| spl72_213
| ~ spl72_237
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6635,f2182]) ).
fof(f6635,plain,
( op2(e21,e21) != h4(e11)
| spl72_213
| ~ spl72_237
| ~ spl72_240 ),
inference(forward_demodulation,[],[f6634,f1969]) ).
fof(f1969,plain,
( e11 = op1(e13,e13)
| ~ spl72_237 ),
inference(avatar_component_clause,[],[f1967]) ).
fof(f6634,plain,
( op2(e21,e21) != h4(op1(e13,e13))
| spl72_213
| ~ spl72_240 ),
inference(forward_demodulation,[],[f1831,f1986]) ).
fof(f1986,plain,
( e21 = h4(e13)
| ~ spl72_240 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f1985,plain,
( spl72_240
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_240])]) ).
fof(f1831,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl72_213 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f1829,plain,
( spl72_213
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_213])]) ).
fof(f6633,plain,
( spl72_203
| ~ spl72_227
| ~ spl72_229
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f6632]) ).
fof(f6632,plain,
( $false
| spl72_203
| ~ spl72_227
| ~ spl72_229
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f6631,f1911]) ).
fof(f6631,plain,
( e23 != op2(e20,e23)
| spl72_203
| ~ spl72_229
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6630,f383]) ).
fof(f6630,plain,
( op2(e20,e23) != h4(e12)
| spl72_203
| ~ spl72_229
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6629,f1920]) ).
fof(f6629,plain,
( op2(e20,e23) != h4(op1(e11,e12))
| spl72_203
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1791,f2182]) ).
fof(f1791,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| spl72_203 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f1789,plain,
( spl72_203
<=> h4(op1(e11,e12)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_203])]) ).
fof(f6621,plain,
( ~ spl72_61
| ~ spl72_179
| spl72_210
| ~ spl72_240
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f6620]) ).
fof(f6620,plain,
( $false
| ~ spl72_61
| ~ spl72_179
| spl72_210
| ~ spl72_240
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f6619,f1675]) ).
fof(f6619,plain,
( e21 != op2(e20,e21)
| ~ spl72_61
| spl72_210
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6618,f1986]) ).
fof(f6618,plain,
( op2(e20,e21) != h4(e13)
| ~ spl72_61
| spl72_210
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6617,f1129]) ).
fof(f1129,plain,
( e13 = op1(e11,e13)
| ~ spl72_61 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1127,plain,
( spl72_61
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_61])]) ).
fof(f6617,plain,
( op2(e20,e21) != h4(op1(e11,e13))
| spl72_210
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6616,f2182]) ).
fof(f6616,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e21)
| spl72_210
| ~ spl72_240 ),
inference(forward_demodulation,[],[f1819,f1986]) ).
fof(f1819,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl72_210 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f1817,plain,
( spl72_210
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_210])]) ).
fof(f6612,plain,
( ~ spl72_89
| ~ spl72_121
| spl72_206
| ~ spl72_240 ),
inference(avatar_contradiction_clause,[],[f6611]) ).
fof(f6611,plain,
( $false
| ~ spl72_89
| ~ spl72_121
| spl72_206
| ~ spl72_240 ),
inference(subsumption_resolution,[],[f6610,f1392]) ).
fof(f1392,plain,
( e21 = op2(e21,e23)
| ~ spl72_121 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f6610,plain,
( e21 != op2(e21,e23)
| ~ spl72_89
| spl72_206
| ~ spl72_240 ),
inference(forward_demodulation,[],[f6609,f1986]) ).
fof(f6609,plain,
( op2(e21,e23) != h4(e13)
| ~ spl72_89
| spl72_206
| ~ spl72_240 ),
inference(forward_demodulation,[],[f6608,f1258]) ).
fof(f6608,plain,
( op2(e21,e23) != h4(op1(e13,e12))
| spl72_206
| ~ spl72_240 ),
inference(forward_demodulation,[],[f1803,f1986]) ).
fof(f1803,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl72_206 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f1801,plain,
( spl72_206
<=> h4(op1(e13,e12)) = op2(h4(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_206])]) ).
fof(f6604,plain,
( ~ spl72_41
| ~ spl72_73
| ~ spl72_207
| spl72_211 ),
inference(avatar_contradiction_clause,[],[f6603]) ).
fof(f6603,plain,
( $false
| ~ spl72_41
| ~ spl72_73
| ~ spl72_207
| spl72_211 ),
inference(subsumption_resolution,[],[f6602,f1184]) ).
fof(f6602,plain,
( e22 != op2(e22,e23)
| ~ spl72_41
| ~ spl72_207
| spl72_211 ),
inference(forward_demodulation,[],[f6601,f1806]) ).
fof(f6601,plain,
( op2(e22,e23) != h4(e10)
| ~ spl72_41
| ~ spl72_207
| spl72_211 ),
inference(forward_demodulation,[],[f6600,f1035]) ).
fof(f6600,plain,
( op2(e22,e23) != h4(op1(e10,e12))
| ~ spl72_207
| spl72_211 ),
inference(forward_demodulation,[],[f1823,f1806]) ).
fof(f1823,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| spl72_211 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1821,plain,
( spl72_211
<=> h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_211])]) ).
fof(f6599,plain,
( ~ spl72_7
| ~ spl72_77
| spl72_199
| ~ spl72_207
| ~ spl72_240 ),
inference(avatar_contradiction_clause,[],[f6598]) ).
fof(f6598,plain,
( $false
| ~ spl72_7
| ~ spl72_77
| spl72_199
| ~ spl72_207
| ~ spl72_240 ),
inference(subsumption_resolution,[],[f6597,f886]) ).
fof(f886,plain,
( e21 = op2(e22,e22)
| ~ spl72_7 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl72_7
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).
fof(f6597,plain,
( e21 != op2(e22,e22)
| ~ spl72_77
| spl72_199
| ~ spl72_207
| ~ spl72_240 ),
inference(forward_demodulation,[],[f6596,f1986]) ).
fof(f6596,plain,
( op2(e22,e22) != h4(e13)
| ~ spl72_77
| spl72_199
| ~ spl72_207 ),
inference(forward_demodulation,[],[f6595,f1201]) ).
fof(f1201,plain,
( op1(e10,e10) = e13
| ~ spl72_77 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1200,plain,
( spl72_77
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_77])]) ).
fof(f6595,plain,
( op2(e22,e22) != h4(op1(e10,e10))
| spl72_199
| ~ spl72_207 ),
inference(forward_demodulation,[],[f1775,f1806]) ).
fof(f6589,plain,
( ~ spl72_16
| ~ spl72_38
| spl72_212
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f6588]) ).
fof(f6588,plain,
( $false
| ~ spl72_16
| ~ spl72_38
| spl72_212
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f6587,f925]) ).
fof(f925,plain,
( e20 = op2(e23,e23)
| ~ spl72_16 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f924,plain,
( spl72_16
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_16])]) ).
fof(f6587,plain,
( e20 != op2(e23,e23)
| ~ spl72_38
| spl72_212
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6586,f2182]) ).
fof(f6586,plain,
( op2(e23,e23) != h4(e11)
| ~ spl72_38
| spl72_212 ),
inference(forward_demodulation,[],[f1827,f1022]) ).
fof(f1022,plain,
( e11 = op1(e12,e12)
| ~ spl72_38 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1020,plain,
( spl72_38
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_38])]) ).
fof(f1827,plain,
( op2(e23,e23) != h4(op1(e12,e12))
| spl72_212 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f1825,plain,
( spl72_212
<=> op2(e23,e23) = h4(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_212])]) ).
fof(f6583,plain,
( ~ spl72_168
| spl72_195
| ~ spl72_230
| ~ spl72_240
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f6582]) ).
fof(f6582,plain,
( $false
| ~ spl72_168
| spl72_195
| ~ spl72_230
| ~ spl72_240
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f6581,f1610]) ).
fof(f6581,plain,
( e21 != op2(e23,e20)
| spl72_195
| ~ spl72_230
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6580,f1986]) ).
fof(f6580,plain,
( op2(e23,e20) != h4(e13)
| spl72_195
| ~ spl72_230
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6579,f1925]) ).
fof(f6579,plain,
( op2(e23,e20) != h4(op1(e12,e11))
| spl72_195
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1759,f2182]) ).
fof(f1759,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| spl72_195 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1757,plain,
( spl72_195
<=> h4(op1(e12,e11)) = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_195])]) ).
fof(f6571,plain,
( ~ spl72_13
| ~ spl72_193
| spl72_205
| ~ spl72_207
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f6570]) ).
fof(f6570,plain,
( $false
| ~ spl72_13
| ~ spl72_193
| spl72_205
| ~ spl72_207
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f6569,f1738]) ).
fof(f1738,plain,
( op2(e20,e20) = e22
| ~ spl72_193 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1737,plain,
( spl72_193
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_193])]) ).
fof(f6569,plain,
( op2(e20,e20) != e22
| ~ spl72_13
| spl72_205
| ~ spl72_207
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6568,f1806]) ).
fof(f6568,plain,
( op2(e20,e20) != h4(e10)
| ~ spl72_13
| spl72_205
| ~ spl72_274 ),
inference(forward_demodulation,[],[f6567,f912]) ).
fof(f912,plain,
( e10 = op1(e11,e11)
| ~ spl72_13 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f911,plain,
( spl72_13
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).
fof(f6567,plain,
( op2(e20,e20) != h4(op1(e11,e11))
| spl72_205
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1799,f2182]) ).
fof(f1799,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl72_205 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f1797,plain,
( spl72_205
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_205])]) ).
fof(f6532,plain,
( spl72_202
| ~ spl72_207
| ~ spl72_240
| ~ spl72_286
| ~ spl72_300 ),
inference(avatar_contradiction_clause,[],[f6531]) ).
fof(f6531,plain,
( $false
| spl72_202
| ~ spl72_207
| ~ spl72_240
| ~ spl72_286
| ~ spl72_300 ),
inference(subsumption_resolution,[],[f6530,f2464]) ).
fof(f6530,plain,
( e23 != op2(e22,e21)
| spl72_202
| ~ spl72_207
| ~ spl72_240
| ~ spl72_286 ),
inference(forward_demodulation,[],[f6529,f383]) ).
fof(f6529,plain,
( op2(e22,e21) != h4(e12)
| spl72_202
| ~ spl72_207
| ~ spl72_240
| ~ spl72_286 ),
inference(forward_demodulation,[],[f6528,f2302]) ).
fof(f2302,plain,
( e12 = op1(e10,e13)
| ~ spl72_286 ),
inference(avatar_component_clause,[],[f2300]) ).
fof(f2300,plain,
( spl72_286
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_286])]) ).
fof(f6528,plain,
( op2(e22,e21) != h4(op1(e10,e13))
| spl72_202
| ~ spl72_207
| ~ spl72_240 ),
inference(forward_demodulation,[],[f6527,f1806]) ).
fof(f6527,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| spl72_202
| ~ spl72_240 ),
inference(forward_demodulation,[],[f1787,f1986]) ).
fof(f1787,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl72_202 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f1785,plain,
( spl72_202
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_202])]) ).
fof(f6498,plain,
( ~ spl72_34
| ~ spl72_75
| ~ spl72_207
| spl72_209
| ~ spl72_240 ),
inference(avatar_contradiction_clause,[],[f6497]) ).
fof(f6497,plain,
( $false
| ~ spl72_34
| ~ spl72_75
| ~ spl72_207
| spl72_209
| ~ spl72_240 ),
inference(subsumption_resolution,[],[f6496,f1005]) ).
fof(f6496,plain,
( e22 != op2(e23,e21)
| ~ spl72_75
| ~ spl72_207
| spl72_209
| ~ spl72_240 ),
inference(forward_demodulation,[],[f6495,f1806]) ).
fof(f6495,plain,
( op2(e23,e21) != h4(e10)
| ~ spl72_75
| spl72_209
| ~ spl72_240 ),
inference(forward_demodulation,[],[f6234,f1193]) ).
fof(f1193,plain,
( e10 = op1(e12,e13)
| ~ spl72_75 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1191,plain,
( spl72_75
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_75])]) ).
fof(f6234,plain,
( op2(e23,e21) != h4(op1(e12,e13))
| spl72_209
| ~ spl72_240 ),
inference(forward_demodulation,[],[f1815,f1986]) ).
fof(f1815,plain,
( h4(op1(e12,e13)) != op2(e23,h4(e13))
| spl72_209 ),
inference(avatar_component_clause,[],[f1813]) ).
fof(f1813,plain,
( spl72_209
<=> h4(op1(e12,e13)) = op2(e23,h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_209])]) ).
fof(f6446,plain,
( ~ spl72_163
| ~ spl72_77 ),
inference(avatar_split_clause,[],[f6445,f1200,f1585]) ).
fof(f1585,plain,
( spl72_163
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_163])]) ).
fof(f6445,plain,
( e13 != op1(e13,e10)
| ~ spl72_77 ),
inference(forward_demodulation,[],[f821,f1201]) ).
fof(f6422,plain,
( ~ spl72_170
| spl72_200
| ~ spl72_207
| ~ spl72_249 ),
inference(avatar_contradiction_clause,[],[f6421]) ).
fof(f6421,plain,
( $false
| ~ spl72_170
| spl72_200
| ~ spl72_207
| ~ spl72_249 ),
inference(subsumption_resolution,[],[f6420,f1619]) ).
fof(f6420,plain,
( e23 != op2(e23,e22)
| spl72_200
| ~ spl72_207
| ~ spl72_249 ),
inference(forward_demodulation,[],[f6419,f383]) ).
fof(f6419,plain,
( op2(e23,e22) != h4(e12)
| spl72_200
| ~ spl72_207
| ~ spl72_249 ),
inference(forward_demodulation,[],[f6261,f2039]) ).
fof(f2039,plain,
( e12 = op1(e12,e10)
| ~ spl72_249 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2037,plain,
( spl72_249
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_249])]) ).
fof(f6261,plain,
( op2(e23,e22) != h4(op1(e12,e10))
| spl72_200
| ~ spl72_207 ),
inference(forward_demodulation,[],[f1779,f1806]) ).
fof(f1779,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| spl72_200 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f1777,plain,
( spl72_200
<=> h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_200])]) ).
fof(f6404,plain,
( ~ spl72_163
| ~ spl72_89 ),
inference(avatar_split_clause,[],[f6403,f1256,f1585]) ).
fof(f6403,plain,
( e13 != op1(e13,e10)
| ~ spl72_89 ),
inference(forward_demodulation,[],[f810,f1258]) ).
fof(f810,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f6402,plain,
( ~ spl72_133
| ~ spl72_286 ),
inference(avatar_split_clause,[],[f6401,f2300,f1447]) ).
fof(f1447,plain,
( spl72_133
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_133])]) ).
fof(f6401,plain,
( e12 != op1(e10,e12)
| ~ spl72_286 ),
inference(forward_demodulation,[],[f817,f2302]) ).
fof(f817,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6396,plain,
( ~ spl72_20
| ~ spl72_286 ),
inference(avatar_split_clause,[],[f6395,f2300,f941]) ).
fof(f6395,plain,
( e12 != op1(e12,e13)
| ~ spl72_286 ),
inference(forward_demodulation,[],[f818,f2302]) ).
fof(f818,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6391,plain,
( ~ spl72_295
| ~ spl72_237 ),
inference(avatar_split_clause,[],[f6390,f1967,f2400]) ).
fof(f6390,plain,
( e11 != op1(e10,e13)
| ~ spl72_237 ),
inference(forward_demodulation,[],[f807,f1969]) ).
fof(f6389,plain,
( ~ spl72_215
| ~ spl72_77 ),
inference(avatar_split_clause,[],[f6388,f1200,f1841]) ).
fof(f6388,plain,
( e13 != op1(e10,e13)
| ~ spl72_77 ),
inference(backward_demodulation,[],[f812,f1201]) ).
fof(f812,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6378,plain,
( ~ spl72_95
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f6377,f915,f1283]) ).
fof(f6377,plain,
( op1(e10,e10) != e11
| ~ spl72_14 ),
inference(forward_demodulation,[],[f816,f917]) ).
fof(f816,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f6376,plain,
( spl72_138
| ~ spl72_144
| ~ spl72_168
| ~ spl72_298
| ~ spl72_307
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f6375]) ).
fof(f6375,plain,
( $false
| spl72_138
| ~ spl72_144
| ~ spl72_168
| ~ spl72_298
| ~ spl72_307
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f6374,f1610]) ).
fof(f6374,plain,
( e21 != op2(e23,e20)
| spl72_138
| ~ spl72_144
| ~ spl72_298
| ~ spl72_307
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6373,f1497]) ).
fof(f1497,plain,
( e21 = h2(e12)
| ~ spl72_144 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f1496,plain,
( spl72_144
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_144])]) ).
fof(f6373,plain,
( op2(e23,e20) != h2(e12)
| spl72_138
| ~ spl72_298
| ~ spl72_307
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6372,f2521]) ).
fof(f6372,plain,
( op2(e23,e20) != h2(op1(e13,e11))
| spl72_138
| ~ spl72_298
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6371,f2625]) ).
fof(f2625,plain,
( e23 = h2(e13)
| ~ spl72_314 ),
inference(avatar_component_clause,[],[f2624]) ).
fof(f2624,plain,
( spl72_314
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_314])]) ).
fof(f6371,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e20)
| spl72_138
| ~ spl72_298 ),
inference(forward_demodulation,[],[f1474,f2437]) ).
fof(f2437,plain,
( e20 = h2(e11)
| ~ spl72_298 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f2435,plain,
( spl72_298
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_298])]) ).
fof(f1474,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl72_138 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f1472,plain,
( spl72_138
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_138])]) ).
fof(f6363,plain,
( ~ spl72_61
| spl72_139
| ~ spl72_227
| ~ spl72_298
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f6362]) ).
fof(f6362,plain,
( $false
| ~ spl72_61
| spl72_139
| ~ spl72_227
| ~ spl72_298
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f6361,f1911]) ).
fof(f6361,plain,
( e23 != op2(e20,e23)
| ~ spl72_61
| spl72_139
| ~ spl72_298
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6360,f2625]) ).
fof(f6360,plain,
( op2(e20,e23) != h2(e13)
| ~ spl72_61
| spl72_139
| ~ spl72_298
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6359,f1129]) ).
fof(f6359,plain,
( op2(e20,e23) != h2(op1(e11,e13))
| spl72_139
| ~ spl72_298
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6358,f2437]) ).
fof(f6358,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl72_139
| ~ spl72_314 ),
inference(forward_demodulation,[],[f1478,f2625]) ).
fof(f1478,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl72_139 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1476,plain,
( spl72_139
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_139])]) ).
fof(f6357,plain,
( ~ spl72_38
| ~ spl72_126
| ~ spl72_144
| spl72_146
| ~ spl72_298 ),
inference(avatar_contradiction_clause,[],[f6356]) ).
fof(f6356,plain,
( $false
| ~ spl72_38
| ~ spl72_126
| ~ spl72_144
| spl72_146
| ~ spl72_298 ),
inference(subsumption_resolution,[],[f6355,f1416]) ).
fof(f6355,plain,
( e20 != op2(e21,e21)
| ~ spl72_38
| ~ spl72_144
| spl72_146
| ~ spl72_298 ),
inference(forward_demodulation,[],[f6354,f2437]) ).
fof(f6354,plain,
( op2(e21,e21) != h2(e11)
| ~ spl72_38
| ~ spl72_144
| spl72_146 ),
inference(forward_demodulation,[],[f6353,f1022]) ).
fof(f6353,plain,
( op2(e21,e21) != h2(op1(e12,e12))
| ~ spl72_144
| spl72_146 ),
inference(forward_demodulation,[],[f1506,f1497]) ).
fof(f1506,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl72_146 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1504,plain,
( spl72_146
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_146])]) ).
fof(f6344,plain,
( ~ spl72_80
| ~ spl72_144
| spl72_148
| ~ spl72_230
| ~ spl72_298
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f6343]) ).
fof(f6343,plain,
( $false
| ~ spl72_80
| ~ spl72_144
| spl72_148
| ~ spl72_230
| ~ spl72_298
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f6342,f1216]) ).
fof(f6342,plain,
( e23 != op2(e21,e20)
| ~ spl72_144
| spl72_148
| ~ spl72_230
| ~ spl72_298
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6341,f2625]) ).
fof(f6341,plain,
( op2(e21,e20) != h2(e13)
| ~ spl72_144
| spl72_148
| ~ spl72_230
| ~ spl72_298 ),
inference(forward_demodulation,[],[f6340,f1925]) ).
fof(f6340,plain,
( op2(e21,e20) != h2(op1(e12,e11))
| ~ spl72_144
| spl72_148
| ~ spl72_298 ),
inference(forward_demodulation,[],[f6339,f1497]) ).
fof(f6339,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e20)
| spl72_148
| ~ spl72_298 ),
inference(forward_demodulation,[],[f1514,f2437]) ).
fof(f1514,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl72_148 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1512,plain,
( spl72_148
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_148])]) ).
fof(f6334,plain,
( ~ spl72_34
| ~ spl72_97
| ~ spl72_144
| spl72_145
| ~ spl72_309
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f6333]) ).
fof(f6333,plain,
( $false
| ~ spl72_34
| ~ spl72_97
| ~ spl72_144
| spl72_145
| ~ spl72_309
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f6332,f1005]) ).
fof(f6332,plain,
( e22 != op2(e23,e21)
| ~ spl72_97
| ~ spl72_144
| spl72_145
| ~ spl72_309
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6331,f2549]) ).
fof(f2549,plain,
( e22 = h2(e10)
| ~ spl72_309 ),
inference(avatar_component_clause,[],[f2548]) ).
fof(f2548,plain,
( spl72_309
<=> e22 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_309])]) ).
fof(f6331,plain,
( op2(e23,e21) != h2(e10)
| ~ spl72_97
| ~ spl72_144
| spl72_145
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6330,f1294]) ).
fof(f1294,plain,
( e10 = op1(e13,e12)
| ~ spl72_97 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl72_97
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_97])]) ).
fof(f6330,plain,
( op2(e23,e21) != h2(op1(e13,e12))
| ~ spl72_144
| spl72_145
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6329,f2625]) ).
fof(f6329,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| ~ spl72_144
| spl72_145 ),
inference(forward_demodulation,[],[f1502,f1497]) ).
fof(f1502,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl72_145 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f1500,plain,
( spl72_145
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_145])]) ).
fof(f6328,plain,
( spl72_149
| ~ spl72_163
| ~ spl72_170
| ~ spl72_309
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f6327]) ).
fof(f6327,plain,
( $false
| spl72_149
| ~ spl72_163
| ~ spl72_170
| ~ spl72_309
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f6326,f1619]) ).
fof(f6326,plain,
( e23 != op2(e23,e22)
| spl72_149
| ~ spl72_163
| ~ spl72_309
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6325,f2625]) ).
fof(f6325,plain,
( op2(e23,e22) != h2(e13)
| spl72_149
| ~ spl72_163
| ~ spl72_309
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6324,f1586]) ).
fof(f1586,plain,
( e13 = op1(e13,e10)
| ~ spl72_163 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f6324,plain,
( op2(e23,e22) != h2(op1(e13,e10))
| spl72_149
| ~ spl72_309
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6323,f2625]) ).
fof(f6323,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e22)
| spl72_149
| ~ spl72_309 ),
inference(forward_demodulation,[],[f1518,f2549]) ).
fof(f1518,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl72_149 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1516,plain,
( spl72_149
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_149])]) ).
fof(f6315,plain,
( ~ spl72_20
| ~ spl72_121
| spl72_143
| ~ spl72_144
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f6314]) ).
fof(f6314,plain,
( $false
| ~ spl72_20
| ~ spl72_121
| spl72_143
| ~ spl72_144
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f6313,f1392]) ).
fof(f6313,plain,
( e21 != op2(e21,e23)
| ~ spl72_20
| spl72_143
| ~ spl72_144
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6312,f1497]) ).
fof(f6312,plain,
( op2(e21,e23) != h2(e12)
| ~ spl72_20
| spl72_143
| ~ spl72_144
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6311,f942]) ).
fof(f6311,plain,
( op2(e21,e23) != h2(op1(e12,e13))
| spl72_143
| ~ spl72_144
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6310,f1497]) ).
fof(f6310,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl72_143
| ~ spl72_314 ),
inference(forward_demodulation,[],[f1494,f2625]) ).
fof(f1494,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl72_143 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1492,plain,
( spl72_143
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_143])]) ).
fof(f6305,plain,
( ~ spl72_7
| ~ spl72_144
| spl72_150
| ~ spl72_161
| ~ spl72_309 ),
inference(avatar_contradiction_clause,[],[f6304]) ).
fof(f6304,plain,
( $false
| ~ spl72_7
| ~ spl72_144
| spl72_150
| ~ spl72_161
| ~ spl72_309 ),
inference(subsumption_resolution,[],[f6303,f886]) ).
fof(f6303,plain,
( e21 != op2(e22,e22)
| ~ spl72_144
| spl72_150
| ~ spl72_161
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6302,f1497]) ).
fof(f6302,plain,
( op2(e22,e22) != h2(e12)
| spl72_150
| ~ spl72_161
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6301,f1575]) ).
fof(f6301,plain,
( op2(e22,e22) != h2(op1(e10,e10))
| spl72_150
| ~ spl72_309 ),
inference(forward_demodulation,[],[f1522,f2549]) ).
fof(f1522,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl72_150 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1520,plain,
( spl72_150
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_150])]) ).
fof(f6300,plain,
( spl72_142
| ~ spl72_144
| ~ spl72_216
| ~ spl72_300
| ~ spl72_309
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f6299]) ).
fof(f6299,plain,
( $false
| spl72_142
| ~ spl72_144
| ~ spl72_216
| ~ spl72_300
| ~ spl72_309
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f6298,f2464]) ).
fof(f6298,plain,
( e23 != op2(e22,e21)
| spl72_142
| ~ spl72_144
| ~ spl72_216
| ~ spl72_309
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6297,f2625]) ).
fof(f6297,plain,
( op2(e22,e21) != h2(e13)
| spl72_142
| ~ spl72_144
| ~ spl72_216
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6296,f1847]) ).
fof(f1847,plain,
( e13 = op1(e10,e12)
| ~ spl72_216 ),
inference(avatar_component_clause,[],[f1845]) ).
fof(f1845,plain,
( spl72_216
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_216])]) ).
fof(f6296,plain,
( op2(e22,e21) != h2(op1(e10,e12))
| spl72_142
| ~ spl72_144
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6295,f2549]) ).
fof(f6295,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| spl72_142
| ~ spl72_144 ),
inference(forward_demodulation,[],[f1490,f1497]) ).
fof(f1490,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl72_142 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1488,plain,
( spl72_142
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_142])]) ).
fof(f6286,plain,
( ~ spl72_23
| ~ spl72_91
| spl72_152
| ~ spl72_298
| ~ spl72_309 ),
inference(avatar_contradiction_clause,[],[f6285]) ).
fof(f6285,plain,
( $false
| ~ spl72_23
| ~ spl72_91
| spl72_152
| ~ spl72_298
| ~ spl72_309 ),
inference(subsumption_resolution,[],[f6284,f956]) ).
fof(f6284,plain,
( e20 != op2(e22,e20)
| ~ spl72_91
| spl72_152
| ~ spl72_298
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6283,f2437]) ).
fof(f6283,plain,
( op2(e22,e20) != h2(e11)
| ~ spl72_91
| spl72_152
| ~ spl72_298
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6282,f1267]) ).
fof(f6282,plain,
( op2(e22,e20) != h2(op1(e10,e11))
| spl72_152
| ~ spl72_298
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6281,f2549]) ).
fof(f6281,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e20)
| spl72_152
| ~ spl72_298 ),
inference(forward_demodulation,[],[f1530,f2437]) ).
fof(f1530,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl72_152 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1528,plain,
( spl72_152
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_152])]) ).
fof(f6276,plain,
( ~ spl72_74
| spl72_141
| ~ spl72_144
| ~ spl72_304
| ~ spl72_309 ),
inference(avatar_contradiction_clause,[],[f6275]) ).
fof(f6275,plain,
( $false
| ~ spl72_74
| spl72_141
| ~ spl72_144
| ~ spl72_304
| ~ spl72_309 ),
inference(subsumption_resolution,[],[f6274,f2493]) ).
fof(f6274,plain,
( e22 != op2(e21,e22)
| ~ spl72_74
| spl72_141
| ~ spl72_144
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6273,f2549]) ).
fof(f6273,plain,
( op2(e21,e22) != h2(e10)
| ~ spl72_74
| spl72_141
| ~ spl72_144
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6272,f1189]) ).
fof(f6272,plain,
( op2(e21,e22) != h2(op1(e12,e10))
| spl72_141
| ~ spl72_144
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6271,f1497]) ).
fof(f6271,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e22)
| spl72_141
| ~ spl72_309 ),
inference(forward_demodulation,[],[f1486,f2549]) ).
fof(f1486,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl72_141 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1484,plain,
( spl72_141
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_141])]) ).
fof(f6270,plain,
( ~ spl72_14
| ~ spl72_67
| spl72_154
| ~ spl72_298
| ~ spl72_309 ),
inference(avatar_contradiction_clause,[],[f6269]) ).
fof(f6269,plain,
( $false
| ~ spl72_14
| ~ spl72_67
| spl72_154
| ~ spl72_298
| ~ spl72_309 ),
inference(subsumption_resolution,[],[f6268,f1157]) ).
fof(f6268,plain,
( e20 != op2(e20,e22)
| ~ spl72_14
| spl72_154
| ~ spl72_298
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6267,f2437]) ).
fof(f6267,plain,
( op2(e20,e22) != h2(e11)
| ~ spl72_14
| spl72_154
| ~ spl72_298
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6266,f917]) ).
fof(f6266,plain,
( op2(e20,e22) != h2(op1(e11,e10))
| spl72_154
| ~ spl72_298
| ~ spl72_309 ),
inference(forward_demodulation,[],[f6265,f2437]) ).
fof(f6265,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e22)
| spl72_154
| ~ spl72_309 ),
inference(forward_demodulation,[],[f1538,f2549]) ).
fof(f1538,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl72_154 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1536,plain,
( spl72_154
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_154])]) ).
fof(f6255,plain,
( ~ spl72_73
| ~ spl72_76
| spl72_140
| ~ spl72_309
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f6254]) ).
fof(f6254,plain,
( $false
| ~ spl72_73
| ~ spl72_76
| spl72_140
| ~ spl72_309
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f6253,f1184]) ).
fof(f6253,plain,
( e22 != op2(e22,e23)
| ~ spl72_76
| spl72_140
| ~ spl72_309
| ~ spl72_314 ),
inference(backward_demodulation,[],[f6243,f2549]) ).
fof(f6243,plain,
( h2(e10) != op2(h2(e10),e23)
| ~ spl72_76
| spl72_140
| ~ spl72_314 ),
inference(forward_demodulation,[],[f6173,f1198]) ).
fof(f1198,plain,
( e10 = op1(e10,e13)
| ~ spl72_76 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1196,plain,
( spl72_76
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_76])]) ).
fof(f6173,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| spl72_140
| ~ spl72_314 ),
inference(forward_demodulation,[],[f1482,f2625]) ).
fof(f1482,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl72_140 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1480,plain,
( spl72_140
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_140])]) ).
fof(f6232,plain,
( spl72_309
| ~ spl72_193
| ~ spl72_298 ),
inference(avatar_split_clause,[],[f6231,f2435,f1737,f2548]) ).
fof(f6231,plain,
( e22 = h2(e10)
| ~ spl72_193
| ~ spl72_298 ),
inference(forward_demodulation,[],[f3848,f1738]) ).
fof(f3848,plain,
( op2(e20,e20) = h2(e10)
| ~ spl72_298 ),
inference(backward_demodulation,[],[f2832,f2437]) ).
fof(f2832,plain,
h2(e10) = op2(h2(e11),h2(e11)),
inference(forward_demodulation,[],[f386,f387]) ).
fof(f387,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( e21 = h2(e12)
& h2(e13) = op2(e21,op2(e21,e21))
& op2(e21,e21) = h2(e11)
& h2(e10) = op2(op2(e21,e21),op2(e21,e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f386,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f6134,plain,
( spl72_16
| ~ spl72_274 ),
inference(avatar_split_clause,[],[f6133,f2181,f924]) ).
fof(f6133,plain,
( e20 = op2(e23,e23)
| ~ spl72_274 ),
inference(forward_demodulation,[],[f382,f2182]) ).
fof(f6078,plain,
( ~ spl72_24
| ~ spl72_274 ),
inference(avatar_split_clause,[],[f6074,f2181,f958]) ).
fof(f6074,plain,
( e20 != op2(e22,e23)
| ~ spl72_274 ),
inference(backward_demodulation,[],[f2748,f2182]) ).
fof(f2748,plain,
op2(e22,e23) != h4(e11),
inference(forward_demodulation,[],[f747,f382]) ).
fof(f747,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6066,plain,
( ~ spl72_273
| ~ spl72_229 ),
inference(avatar_split_clause,[],[f5695,f1918,f2164]) ).
fof(f2164,plain,
( spl72_273
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_273])]) ).
fof(f5695,plain,
( e12 != op1(e11,e10)
| ~ spl72_229 ),
inference(forward_demodulation,[],[f785,f1920]) ).
fof(f785,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5986,plain,
( ~ spl72_29
| ~ spl72_13 ),
inference(avatar_split_clause,[],[f5743,f911,f981]) ).
fof(f981,plain,
( spl72_29
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_29])]) ).
fof(f5743,plain,
( e10 != op1(e10,e11)
| ~ spl72_13 ),
inference(forward_demodulation,[],[f788,f912]) ).
fof(f788,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5984,plain,
( ~ spl72_293
| ~ spl72_227 ),
inference(avatar_split_clause,[],[f5983,f1909,f2383]) ).
fof(f2383,plain,
( spl72_293
<=> e23 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_293])]) ).
fof(f5983,plain,
( e23 != h4(e11)
| ~ spl72_227 ),
inference(forward_demodulation,[],[f2225,f1911]) ).
fof(f2225,plain,
op2(e20,e23) != h4(e11),
inference(forward_demodulation,[],[f734,f382]) ).
fof(f734,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5972,plain,
( ~ spl72_273
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f5969,f1574,f2164]) ).
fof(f5969,plain,
( e12 != op1(e11,e10)
| ~ spl72_161 ),
inference(backward_demodulation,[],[f816,f1575]) ).
fof(f5951,plain,
( ~ spl72_30
| ~ spl72_13 ),
inference(avatar_split_clause,[],[f5950,f911,f985]) ).
fof(f985,plain,
( spl72_30
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_30])]) ).
fof(f5950,plain,
( e10 != op1(e13,e11)
| ~ spl72_13 ),
inference(forward_demodulation,[],[f784,f912]) ).
fof(f784,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5942,plain,
( ~ spl72_41
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f5941,f1196,f1033]) ).
fof(f5941,plain,
( e10 != op1(e10,e12)
| ~ spl72_76 ),
inference(forward_demodulation,[],[f817,f1198]) ).
fof(f5934,plain,
( ~ spl72_164
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f5933,f1196,f1589]) ).
fof(f5933,plain,
( e10 != op1(e13,e13)
| ~ spl72_76 ),
inference(backward_demodulation,[],[f807,f1198]) ).
fof(f5890,plain,
( ~ spl72_215
| ~ spl72_295 ),
inference(avatar_contradiction_clause,[],[f5889]) ).
fof(f5889,plain,
( $false
| ~ spl72_215
| ~ spl72_295 ),
inference(subsumption_resolution,[],[f5888,f721]) ).
fof(f721,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e10 != e13
& e10 != e11
& e11 != e12
& e10 != e12
& e12 != e13
& e11 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f5888,plain,
( e11 = e13
| ~ spl72_215
| ~ spl72_295 ),
inference(forward_demodulation,[],[f2402,f1843]) ).
fof(f2402,plain,
( e11 = op1(e10,e13)
| ~ spl72_295 ),
inference(avatar_component_clause,[],[f2400]) ).
fof(f5886,plain,
( ~ spl72_56
| ~ spl72_95
| ~ spl72_185
| ~ spl72_214
| ~ spl72_265 ),
inference(avatar_contradiction_clause,[],[f5885]) ).
fof(f5885,plain,
( $false
| ~ spl72_56
| ~ spl72_95
| ~ spl72_185
| ~ spl72_214
| ~ spl72_265 ),
inference(subsumption_resolution,[],[f5884,f204]) ).
fof(f204,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e20 != e23
& e20 != e21
& e21 != e22
& e20 != e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f5884,plain,
( e21 = e23
| ~ spl72_56
| ~ spl72_95
| ~ spl72_185
| ~ spl72_214
| ~ spl72_265 ),
inference(forward_demodulation,[],[f5883,f1700]) ).
fof(f1700,plain,
( op2(e20,e20) = e23
| ~ spl72_185 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f5883,plain,
( op2(e20,e20) = e21
| ~ spl72_56
| ~ spl72_95
| ~ spl72_214
| ~ spl72_265 ),
inference(forward_demodulation,[],[f5882,f1108]) ).
fof(f5882,plain,
( op2(e20,e20) = h3(e11)
| ~ spl72_95
| ~ spl72_214
| ~ spl72_265 ),
inference(forward_demodulation,[],[f5585,f1284]) ).
fof(f1284,plain,
( op1(e10,e10) = e11
| ~ spl72_95 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f5585,plain,
( op2(e20,e20) = h3(op1(e10,e10))
| ~ spl72_214
| ~ spl72_265 ),
inference(forward_demodulation,[],[f2127,f1835]) ).
fof(f2127,plain,
( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
| ~ spl72_265 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f2126,plain,
( spl72_265
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_265])]) ).
fof(f5876,plain,
( ~ spl72_127
| ~ spl72_164 ),
inference(avatar_contradiction_clause,[],[f5875]) ).
fof(f5875,plain,
( $false
| ~ spl72_127
| ~ spl72_164 ),
inference(subsumption_resolution,[],[f5874,f726]) ).
fof(f726,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f5874,plain,
( e10 = e13
| ~ spl72_127
| ~ spl72_164 ),
inference(forward_demodulation,[],[f1421,f1590]) ).
fof(f1421,plain,
( e13 = op1(e13,e13)
| ~ spl72_127 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f5839,plain,
( ~ spl72_160
| ~ spl72_74 ),
inference(avatar_split_clause,[],[f5835,f1187,f1569]) ).
fof(f1569,plain,
( spl72_160
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_160])]) ).
fof(f5835,plain,
( e10 != op1(e13,e10)
| ~ spl72_74 ),
inference(backward_demodulation,[],[f790,f1189]) ).
fof(f790,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5804,plain,
( ~ spl72_249
| ~ spl72_20 ),
inference(avatar_split_clause,[],[f5803,f941,f2037]) ).
fof(f5803,plain,
( e12 != op1(e12,e10)
| ~ spl72_20 ),
inference(forward_demodulation,[],[f801,f942]) ).
fof(f801,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5786,plain,
( ~ spl72_77
| ~ spl72_221 ),
inference(avatar_split_clause,[],[f5785,f1880,f1200]) ).
fof(f5785,plain,
( op1(e10,e10) != e13
| ~ spl72_221 ),
inference(forward_demodulation,[],[f816,f1882]) ).
fof(f5751,plain,
( ~ spl72_161
| ~ spl72_92 ),
inference(avatar_split_clause,[],[f5693,f1269,f1574]) ).
fof(f1269,plain,
( spl72_92
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_92])]) ).
fof(f5693,plain,
( op1(e10,e10) != e12
| ~ spl72_92 ),
inference(forward_demodulation,[],[f814,f1271]) ).
fof(f1271,plain,
( e12 = op1(e10,e11)
| ~ spl72_92 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f5748,plain,
( ~ spl72_7
| ~ spl72_25
| spl72_108
| ~ spl72_164
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f5747]) ).
fof(f5747,plain,
( $false
| ~ spl72_7
| ~ spl72_25
| spl72_108
| ~ spl72_164
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f5746,f886]) ).
fof(f5746,plain,
( e21 != op2(e22,e22)
| ~ spl72_25
| spl72_108
| ~ spl72_164
| ~ spl72_306 ),
inference(forward_demodulation,[],[f5745,f2515]) ).
fof(f5745,plain,
( op2(e22,e22) != h1(e10)
| ~ spl72_25
| spl72_108
| ~ spl72_164 ),
inference(forward_demodulation,[],[f5204,f1590]) ).
fof(f5204,plain,
( op2(e22,e22) != h1(op1(e13,e13))
| ~ spl72_25
| spl72_108 ),
inference(forward_demodulation,[],[f1340,f964]) ).
fof(f5741,plain,
( ~ spl72_75
| ~ spl72_164 ),
inference(avatar_contradiction_clause,[],[f5740]) ).
fof(f5740,plain,
( $false
| ~ spl72_75
| ~ spl72_164 ),
inference(subsumption_resolution,[],[f5739,f1193]) ).
fof(f5739,plain,
( e10 != op1(e12,e13)
| ~ spl72_164 ),
inference(forward_demodulation,[],[f782,f1590]) ).
fof(f5718,plain,
( ~ spl72_160
| ~ spl72_282 ),
inference(avatar_contradiction_clause,[],[f5717]) ).
fof(f5717,plain,
( $false
| ~ spl72_160
| ~ spl72_282 ),
inference(subsumption_resolution,[],[f5716,f725]) ).
fof(f725,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f5716,plain,
( e10 = e11
| ~ spl72_160
| ~ spl72_282 ),
inference(forward_demodulation,[],[f2263,f1571]) ).
fof(f1571,plain,
( e10 = op1(e13,e10)
| ~ spl72_160 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f5715,plain,
( ~ spl72_92
| ~ spl72_286 ),
inference(avatar_contradiction_clause,[],[f5714]) ).
fof(f5714,plain,
( $false
| ~ spl72_92
| ~ spl72_286 ),
inference(subsumption_resolution,[],[f5713,f1271]) ).
fof(f5713,plain,
( e12 != op1(e10,e11)
| ~ spl72_286 ),
inference(forward_demodulation,[],[f822,f2302]) ).
fof(f5706,plain,
( ~ spl72_61
| ~ spl72_62 ),
inference(avatar_contradiction_clause,[],[f5705]) ).
fof(f5705,plain,
( $false
| ~ spl72_61
| ~ spl72_62 ),
inference(subsumption_resolution,[],[f5704,f721]) ).
fof(f5704,plain,
( e11 = e13
| ~ spl72_61
| ~ spl72_62 ),
inference(forward_demodulation,[],[f1133,f1129]) ).
fof(f5699,plain,
( ~ spl72_38
| ~ spl72_70 ),
inference(avatar_contradiction_clause,[],[f5698]) ).
fof(f5698,plain,
( $false
| ~ spl72_38
| ~ spl72_70 ),
inference(subsumption_resolution,[],[f5697,f724]) ).
fof(f724,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5697,plain,
( e11 = e12
| ~ spl72_38
| ~ spl72_70 ),
inference(forward_demodulation,[],[f1170,f1022]) ).
fof(f1170,plain,
( e12 = op1(e12,e12)
| ~ spl72_70 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1168,plain,
( spl72_70
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_70])]) ).
fof(f5666,plain,
( ~ spl72_127
| ~ spl72_61 ),
inference(avatar_split_clause,[],[f5665,f1127,f1419]) ).
fof(f5665,plain,
( e13 != op1(e13,e13)
| ~ spl72_61 ),
inference(forward_demodulation,[],[f795,f1129]) ).
fof(f5662,plain,
( ~ spl72_33
| ~ spl72_286 ),
inference(avatar_split_clause,[],[f5661,f2300,f998]) ).
fof(f5661,plain,
( e12 != op1(e13,e13)
| ~ spl72_286 ),
inference(forward_demodulation,[],[f807,f2302]) ).
fof(f5660,plain,
( ~ spl72_92
| ~ spl72_307 ),
inference(avatar_contradiction_clause,[],[f5659]) ).
fof(f5659,plain,
( $false
| ~ spl72_92
| ~ spl72_307 ),
inference(subsumption_resolution,[],[f5658,f1271]) ).
fof(f5658,plain,
( e12 != op1(e10,e11)
| ~ spl72_307 ),
inference(forward_demodulation,[],[f802,f2521]) ).
fof(f802,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5646,plain,
( ~ spl72_174
| ~ spl72_13 ),
inference(avatar_split_clause,[],[f5645,f911,f1645]) ).
fof(f1645,plain,
( spl72_174
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_174])]) ).
fof(f5645,plain,
( e10 != op1(e11,e10)
| ~ spl72_13 ),
inference(forward_demodulation,[],[f813,f912]) ).
fof(f813,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5644,plain,
( ~ spl72_93
| ~ spl72_230 ),
inference(avatar_split_clause,[],[f5643,f1923,f1273]) ).
fof(f1273,plain,
( spl72_93
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_93])]) ).
fof(f5643,plain,
( e13 != op1(e10,e11)
| ~ spl72_230 ),
inference(forward_demodulation,[],[f779,f1925]) ).
fof(f779,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5637,plain,
( ~ spl72_86
| ~ spl72_214
| ~ spl72_249
| spl72_268
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f5636]) ).
fof(f5636,plain,
( $false
| ~ spl72_86
| ~ spl72_214
| ~ spl72_249
| spl72_268
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f5635,f1244]) ).
fof(f5635,plain,
( e22 != op2(e22,e20)
| ~ spl72_214
| ~ spl72_249
| spl72_268
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5634,f2358]) ).
fof(f5634,plain,
( op2(e22,e20) != h3(e12)
| ~ spl72_214
| ~ spl72_249
| spl72_268
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5633,f2039]) ).
fof(f5633,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| ~ spl72_214
| spl72_268
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5632,f2358]) ).
fof(f5632,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl72_214
| spl72_268 ),
inference(forward_demodulation,[],[f2140,f1835]) ).
fof(f2140,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl72_268 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f2138,plain,
( spl72_268
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_268])]) ).
fof(f5616,plain,
( ~ spl72_214
| ~ spl72_225
| spl72_258
| ~ spl72_286
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f5615]) ).
fof(f5615,plain,
( $false
| ~ spl72_214
| ~ spl72_225
| spl72_258
| ~ spl72_286
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f5614,f1902]) ).
fof(f5614,plain,
( e22 != op2(e20,e23)
| ~ spl72_214
| spl72_258
| ~ spl72_286
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5613,f2358]) ).
fof(f5613,plain,
( op2(e20,e23) != h3(e12)
| ~ spl72_214
| spl72_258
| ~ spl72_286 ),
inference(forward_demodulation,[],[f5612,f2302]) ).
fof(f5612,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl72_214
| spl72_258 ),
inference(forward_demodulation,[],[f2100,f1835]) ).
fof(f5597,plain,
( ~ spl72_24
| ~ spl72_75
| ~ spl72_214
| spl72_261
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f5596]) ).
fof(f5596,plain,
( $false
| ~ spl72_24
| ~ spl72_75
| ~ spl72_214
| spl72_261
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f5595,f960]) ).
fof(f5595,plain,
( e20 != op2(e22,e23)
| ~ spl72_75
| ~ spl72_214
| spl72_261
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5594,f1835]) ).
fof(f5594,plain,
( op2(e22,e23) != h3(e10)
| ~ spl72_75
| spl72_261
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5593,f1193]) ).
fof(f5593,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| spl72_261
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2112,f2358]) ).
fof(f5577,plain,
( ~ spl72_306
| ~ spl72_11
| ~ spl72_13
| spl72_102
| ~ spl72_310 ),
inference(avatar_split_clause,[],[f5576,f2569,f1314,f911,f902,f2514]) ).
fof(f1314,plain,
( spl72_102
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_102])]) ).
fof(f5576,plain,
( e21 != h1(e10)
| ~ spl72_11
| ~ spl72_13
| spl72_102
| ~ spl72_310 ),
inference(forward_demodulation,[],[f5575,f904]) ).
fof(f5575,plain,
( op2(e23,e23) != h1(e10)
| ~ spl72_13
| spl72_102
| ~ spl72_310 ),
inference(forward_demodulation,[],[f5574,f912]) ).
fof(f5574,plain,
( op2(e23,e23) != h1(op1(e11,e11))
| spl72_102
| ~ spl72_310 ),
inference(forward_demodulation,[],[f1316,f2570]) ).
fof(f1316,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl72_102 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f5573,plain,
( spl72_306
| ~ spl72_11
| ~ spl72_310 ),
inference(avatar_split_clause,[],[f5572,f2569,f902,f2514]) ).
fof(f5572,plain,
( e21 = h1(e10)
| ~ spl72_11
| ~ spl72_310 ),
inference(forward_demodulation,[],[f5571,f904]) ).
fof(f5571,plain,
( op2(e23,e23) = h1(e10)
| ~ spl72_310 ),
inference(forward_demodulation,[],[f2784,f2570]) ).
fof(f2784,plain,
h1(e10) = op2(h1(e11),h1(e11)),
inference(backward_demodulation,[],[f695,f694]) ).
fof(f695,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f5566,plain,
( ~ spl72_160
| ~ spl72_167
| ~ spl72_214
| spl72_256 ),
inference(avatar_contradiction_clause,[],[f5565]) ).
fof(f5565,plain,
( $false
| ~ spl72_160
| ~ spl72_167
| ~ spl72_214
| spl72_256 ),
inference(subsumption_resolution,[],[f5564,f1606]) ).
fof(f5564,plain,
( e20 != op2(e23,e20)
| ~ spl72_160
| ~ spl72_214
| spl72_256 ),
inference(forward_demodulation,[],[f5563,f1835]) ).
fof(f5563,plain,
( op2(e23,e20) != h3(e10)
| ~ spl72_160
| ~ spl72_214
| spl72_256 ),
inference(forward_demodulation,[],[f5109,f1571]) ).
fof(f5109,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| ~ spl72_214
| spl72_256 ),
inference(forward_demodulation,[],[f2092,f1835]) ).
fof(f5535,plain,
( ~ spl72_77
| ~ spl72_185
| ~ spl72_214
| spl72_265 ),
inference(avatar_contradiction_clause,[],[f5534]) ).
fof(f5534,plain,
( $false
| ~ spl72_77
| ~ spl72_185
| ~ spl72_214
| spl72_265 ),
inference(subsumption_resolution,[],[f5533,f1700]) ).
fof(f5533,plain,
( op2(e20,e20) != e23
| ~ spl72_77
| ~ spl72_214
| spl72_265 ),
inference(forward_demodulation,[],[f5532,f2065]) ).
fof(f5532,plain,
( op2(e20,e20) != h3(e13)
| ~ spl72_77
| ~ spl72_214
| spl72_265 ),
inference(forward_demodulation,[],[f5443,f1201]) ).
fof(f5443,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl72_214
| spl72_265 ),
inference(forward_demodulation,[],[f2128,f1835]) ).
fof(f2128,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl72_265 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f5513,plain,
( ~ spl72_297
| ~ spl72_249 ),
inference(avatar_split_clause,[],[f5512,f2037,f2416]) ).
fof(f2416,plain,
( spl72_297
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_297])]) ).
fof(f5512,plain,
( e12 != op1(e13,e10)
| ~ spl72_249 ),
inference(backward_demodulation,[],[f790,f2039]) ).
fof(f5505,plain,
( ~ spl72_76
| ~ spl72_75 ),
inference(avatar_split_clause,[],[f5504,f1191,f1196]) ).
fof(f5504,plain,
( e10 != op1(e10,e13)
| ~ spl72_75 ),
inference(forward_demodulation,[],[f818,f1193]) ).
fof(f5498,plain,
( ~ spl72_74
| ~ spl72_75 ),
inference(avatar_split_clause,[],[f5497,f1191,f1187]) ).
fof(f5497,plain,
( e10 != op1(e12,e10)
| ~ spl72_75 ),
inference(forward_demodulation,[],[f801,f1193]) ).
fof(f5482,plain,
( ~ spl72_89
| ~ spl72_170
| spl72_259
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f5481]) ).
fof(f5481,plain,
( $false
| ~ spl72_89
| ~ spl72_170
| spl72_259
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f5480,f1619]) ).
fof(f5480,plain,
( e23 != op2(e23,e22)
| ~ spl72_89
| spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5479,f2065]) ).
fof(f5479,plain,
( op2(e23,e22) != h3(e13)
| ~ spl72_89
| spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5322,f1258]) ).
fof(f5322,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2104,f2358]) ).
fof(f2104,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| spl72_259 ),
inference(avatar_component_clause,[],[f2102]) ).
fof(f2102,plain,
( spl72_259
<=> h3(op1(e13,e12)) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_259])]) ).
fof(f5428,plain,
( spl72_211
| ~ spl72_216
| ~ spl72_225
| ~ spl72_281
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f5427]) ).
fof(f5427,plain,
( $false
| spl72_211
| ~ spl72_216
| ~ spl72_225
| ~ spl72_281
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f5157,f1902]) ).
fof(f5157,plain,
( e22 != op2(e20,e23)
| spl72_211
| ~ spl72_216
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f5156,f2256]) ).
fof(f2256,plain,
( e22 = h4(e13)
| ~ spl72_281 ),
inference(avatar_component_clause,[],[f2255]) ).
fof(f2255,plain,
( spl72_281
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_281])]) ).
fof(f5156,plain,
( op2(e20,e23) != h4(e13)
| spl72_211
| ~ spl72_216
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4678,f1847]) ).
fof(f4678,plain,
( op2(e20,e23) != h4(op1(e10,e12))
| spl72_211
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1823,f2487]) ).
fof(f5375,plain,
( ~ spl72_180
| ~ spl72_179 ),
inference(avatar_split_clause,[],[f5372,f1673,f1677]) ).
fof(f1677,plain,
( spl72_180
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_180])]) ).
fof(f5372,plain,
( e21 != op2(e20,e23)
| ~ spl72_179 ),
inference(backward_demodulation,[],[f728,f1675]) ).
fof(f728,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5349,plain,
( ~ spl72_24
| ~ spl72_97
| spl72_206
| ~ spl72_281
| ~ spl72_303 ),
inference(avatar_split_clause,[],[f4739,f2486,f2255,f1801,f1292,f958]) ).
fof(f4739,plain,
( e20 != op2(e22,e23)
| ~ spl72_97
| spl72_206
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4738,f2487]) ).
fof(f4738,plain,
( op2(e22,e23) != h4(e10)
| ~ spl72_97
| spl72_206
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4737,f1294]) ).
fof(f4737,plain,
( op2(e22,e23) != h4(op1(e13,e12))
| spl72_206
| ~ spl72_281 ),
inference(forward_demodulation,[],[f1803,f2256]) ).
fof(f5347,plain,
( ~ spl72_74
| ~ spl72_167
| spl72_200
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f5346]) ).
fof(f5346,plain,
( $false
| ~ spl72_74
| ~ spl72_167
| spl72_200
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4752,f1606]) ).
fof(f4752,plain,
( e20 != op2(e23,e20)
| ~ spl72_74
| spl72_200
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4751,f2487]) ).
fof(f4751,plain,
( op2(e23,e20) != h4(e10)
| ~ spl72_74
| spl72_200
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4750,f1189]) ).
fof(f4750,plain,
( op2(e23,e20) != h4(op1(e12,e10))
| spl72_200
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1779,f2487]) ).
fof(f5308,plain,
( ~ spl72_217
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f5307,f1155,f1851]) ).
fof(f1851,plain,
( spl72_217
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_217])]) ).
fof(f5307,plain,
( e20 != h1(e11)
| ~ spl72_67 ),
inference(forward_demodulation,[],[f2786,f1157]) ).
fof(f2786,plain,
op2(e20,e22) != h1(e11),
inference(backward_demodulation,[],[f727,f694]) ).
fof(f727,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5305,plain,
( ~ spl72_38
| spl72_111
| ~ spl72_173 ),
inference(avatar_contradiction_clause,[],[f5304]) ).
fof(f5304,plain,
( $false
| ~ spl72_38
| spl72_111
| ~ spl72_173 ),
inference(subsumption_resolution,[],[f694,f5299]) ).
fof(f5299,plain,
( op2(e20,e20) != h1(e11)
| ~ spl72_38
| spl72_111
| ~ spl72_173 ),
inference(forward_demodulation,[],[f5298,f1022]) ).
fof(f5298,plain,
( op2(e20,e20) != h1(op1(e12,e12))
| spl72_111
| ~ spl72_173 ),
inference(forward_demodulation,[],[f1352,f1640]) ).
fof(f1352,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl72_111 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1350,plain,
( spl72_111
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_111])]) ).
fof(f5297,plain,
( ~ spl72_86
| ~ spl72_163
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(avatar_split_clause,[],[f4726,f2486,f2255,f1781,f1585,f1242]) ).
fof(f1781,plain,
( spl72_201
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_201])]) ).
fof(f4726,plain,
( e22 != op2(e22,e20)
| ~ spl72_163
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4725,f2256]) ).
fof(f4725,plain,
( op2(e22,e20) != h4(e13)
| ~ spl72_163
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4724,f1586]) ).
fof(f4724,plain,
( op2(e22,e20) != h4(op1(e13,e10))
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4723,f2256]) ).
fof(f4723,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| spl72_201
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1783,f2487]) ).
fof(f1783,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl72_201 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f5292,plain,
( ~ spl72_17
| ~ spl72_163
| ~ spl72_214
| spl72_256 ),
inference(avatar_split_clause,[],[f5111,f2090,f1834,f1585,f928]) ).
fof(f5111,plain,
( e23 != op2(e23,e20)
| ~ spl72_163
| ~ spl72_214
| spl72_256 ),
inference(forward_demodulation,[],[f5110,f2065]) ).
fof(f5110,plain,
( op2(e23,e20) != h3(e13)
| ~ spl72_163
| ~ spl72_214
| spl72_256 ),
inference(forward_demodulation,[],[f5109,f1586]) ).
fof(f5265,plain,
( ~ spl72_97
| spl72_158
| ~ spl72_170
| ~ spl72_214
| ~ spl72_259
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f5264]) ).
fof(f5264,plain,
( $false
| ~ spl72_97
| spl72_158
| ~ spl72_170
| ~ spl72_214
| ~ spl72_259
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f5263,f1562]) ).
fof(f1562,plain,
( e20 != e23
| spl72_158 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1560,plain,
( spl72_158
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_158])]) ).
fof(f5263,plain,
( e20 = e23
| ~ spl72_97
| ~ spl72_170
| ~ spl72_214
| ~ spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4824,f1619]) ).
fof(f4824,plain,
( e20 = op2(e23,e22)
| ~ spl72_97
| ~ spl72_214
| ~ spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4823,f1835]) ).
fof(f4823,plain,
( op2(e23,e22) = h3(e10)
| ~ spl72_97
| ~ spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4822,f1294]) ).
fof(f4822,plain,
( op2(e23,e22) = h3(op1(e13,e12))
| ~ spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2103,f2358]) ).
fof(f2103,plain,
( h3(op1(e13,e12)) = op2(e23,h3(e12))
| ~ spl72_259 ),
inference(avatar_component_clause,[],[f2102]) ).
fof(f5220,plain,
( ~ spl72_20
| ~ spl72_170
| spl72_209
| ~ spl72_281 ),
inference(avatar_contradiction_clause,[],[f5219]) ).
fof(f5219,plain,
( $false
| ~ spl72_20
| ~ spl72_170
| spl72_209
| ~ spl72_281 ),
inference(subsumption_resolution,[],[f4743,f1619]) ).
fof(f4743,plain,
( e23 != op2(e23,e22)
| ~ spl72_20
| spl72_209
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4742,f383]) ).
fof(f4742,plain,
( op2(e23,e22) != h4(e12)
| ~ spl72_20
| spl72_209
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4741,f942]) ).
fof(f4741,plain,
( op2(e23,e22) != h4(op1(e12,e13))
| spl72_209
| ~ spl72_281 ),
inference(forward_demodulation,[],[f1815,f2256]) ).
fof(f5202,plain,
( spl72_274
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f5201,f924,f2181]) ).
fof(f5201,plain,
( e20 = h4(e11)
| ~ spl72_16 ),
inference(forward_demodulation,[],[f925,f382]) ).
fof(f5187,plain,
( ~ spl72_67
| ~ spl72_76
| spl72_202
| ~ spl72_281
| ~ spl72_303 ),
inference(avatar_split_clause,[],[f4735,f2486,f2255,f1785,f1196,f1155]) ).
fof(f4735,plain,
( e20 != op2(e20,e22)
| ~ spl72_76
| spl72_202
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4734,f2487]) ).
fof(f4734,plain,
( op2(e20,e22) != h4(e10)
| ~ spl72_76
| spl72_202
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4733,f1198]) ).
fof(f4733,plain,
( op2(e20,e22) != h4(op1(e10,e13))
| spl72_202
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4732,f2487]) ).
fof(f4732,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| spl72_202
| ~ spl72_281 ),
inference(forward_demodulation,[],[f1787,f2256]) ).
fof(f5186,plain,
( ~ spl72_169
| spl72_284 ),
inference(avatar_contradiction_clause,[],[f5185]) ).
fof(f5185,plain,
( $false
| ~ spl72_169
| spl72_284 ),
inference(subsumption_resolution,[],[f5184,f2277]) ).
fof(f2277,plain,
( e22 != h4(e11)
| spl72_284 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f2275,plain,
( spl72_284
<=> e22 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_284])]) ).
fof(f5184,plain,
( e22 = h4(e11)
| ~ spl72_169 ),
inference(forward_demodulation,[],[f1614,f382]) ).
fof(f1614,plain,
( e22 = op2(e23,e23)
| ~ spl72_169 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1613,plain,
( spl72_169
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_169])]) ).
fof(f5180,plain,
( spl72_285
| ~ spl72_214
| ~ spl72_216
| ~ spl72_255
| ~ spl72_290 ),
inference(avatar_split_clause,[],[f5179,f2357,f2086,f1845,f1834,f2294]) ).
fof(f5179,plain,
( e23 = op2(e20,e22)
| ~ spl72_214
| ~ spl72_216
| ~ spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f5178,f2065]) ).
fof(f5178,plain,
( op2(e20,e22) = h3(e13)
| ~ spl72_214
| ~ spl72_216
| ~ spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4657,f1847]) ).
fof(f4657,plain,
( op2(e20,e22) = h3(op1(e10,e12))
| ~ spl72_214
| ~ spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4656,f1835]) ).
fof(f4656,plain,
( h3(op1(e10,e12)) = op2(h3(e10),e22)
| ~ spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2087,f2358]) ).
fof(f5167,plain,
( ~ spl72_285
| ~ spl72_227 ),
inference(avatar_split_clause,[],[f5162,f1909,f2294]) ).
fof(f5162,plain,
( e23 != op2(e20,e22)
| ~ spl72_227 ),
inference(backward_demodulation,[],[f745,f1911]) ).
fof(f5114,plain,
( ~ spl72_253
| ~ spl72_121 ),
inference(avatar_split_clause,[],[f5113,f1391,f2067]) ).
fof(f5113,plain,
( e21 != op2(e21,e20)
| ~ spl72_121 ),
inference(forward_demodulation,[],[f732,f1392]) ).
fof(f732,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5108,plain,
( ~ spl72_239
| ~ spl72_304 ),
inference(avatar_split_clause,[],[f5107,f2491,f1980]) ).
fof(f1980,plain,
( spl72_239
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_239])]) ).
fof(f5107,plain,
( e22 != op2(e23,e22)
| ~ spl72_304 ),
inference(forward_demodulation,[],[f768,f2493]) ).
fof(f768,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5095,plain,
( ~ spl72_284
| ~ spl72_166 ),
inference(avatar_split_clause,[],[f5094,f1600,f2275]) ).
fof(f5094,plain,
( e22 != h4(e11)
| ~ spl72_166 ),
inference(forward_demodulation,[],[f2272,f1602]) ).
fof(f1602,plain,
( e22 = op2(e23,e20)
| ~ spl72_166 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f2272,plain,
op2(e23,e20) != h4(e11),
inference(forward_demodulation,[],[f735,f382]) ).
fof(f735,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5092,plain,
( ~ spl72_293
| spl72_175 ),
inference(avatar_split_clause,[],[f5090,f1650,f2383]) ).
fof(f1650,plain,
( spl72_175
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_175])]) ).
fof(f5090,plain,
( e23 != h4(e11)
| spl72_175 ),
inference(backward_demodulation,[],[f1651,f382]) ).
fof(f1651,plain,
( e23 != op2(e23,e23)
| spl72_175 ),
inference(avatar_component_clause,[],[f1650]) ).
fof(f5089,plain,
( ~ spl72_180
| ~ spl72_121 ),
inference(avatar_split_clause,[],[f5088,f1391,f1677]) ).
fof(f5088,plain,
( e21 != op2(e20,e23)
| ~ spl72_121 ),
inference(forward_demodulation,[],[f743,f1392]) ).
fof(f5067,plain,
( ~ spl72_185
| spl72_218
| ~ spl72_298
| ~ spl72_309 ),
inference(avatar_contradiction_clause,[],[f5066]) ).
fof(f5066,plain,
( $false
| ~ spl72_185
| spl72_218
| ~ spl72_298
| ~ spl72_309 ),
inference(subsumption_resolution,[],[f5065,f1867]) ).
fof(f1867,plain,
( e22 != e23
| spl72_218 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f1865,plain,
( spl72_218
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_218])]) ).
fof(f5065,plain,
( e22 = e23
| ~ spl72_185
| ~ spl72_298
| ~ spl72_309 ),
inference(forward_demodulation,[],[f5064,f1700]) ).
fof(f5064,plain,
( op2(e20,e20) = e22
| ~ spl72_298
| ~ spl72_309 ),
inference(forward_demodulation,[],[f3848,f2549]) ).
fof(f4976,plain,
( ~ spl72_275
| ~ spl72_28 ),
inference(avatar_split_clause,[],[f4975,f976,f2200]) ).
fof(f976,plain,
( spl72_28
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_28])]) ).
fof(f4975,plain,
( e21 != h4(e11)
| ~ spl72_28 ),
inference(backward_demodulation,[],[f2637,f978]) ).
fof(f978,plain,
( e21 = op2(e23,e21)
| ~ spl72_28 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f2637,plain,
op2(e23,e21) != h4(e11),
inference(forward_demodulation,[],[f753,f382]) ).
fof(f753,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4960,plain,
( ~ spl72_175
| spl72_293 ),
inference(avatar_contradiction_clause,[],[f4959]) ).
fof(f4959,plain,
( $false
| ~ spl72_175
| spl72_293 ),
inference(subsumption_resolution,[],[f4958,f2384]) ).
fof(f2384,plain,
( e23 != h4(e11)
| spl72_293 ),
inference(avatar_component_clause,[],[f2383]) ).
fof(f4958,plain,
( e23 = h4(e11)
| ~ spl72_175 ),
inference(forward_demodulation,[],[f1652,f382]) ).
fof(f1652,plain,
( e23 = op2(e23,e23)
| ~ spl72_175 ),
inference(avatar_component_clause,[],[f1650]) ).
fof(f4948,plain,
( ~ spl72_43
| ~ spl72_180 ),
inference(avatar_contradiction_clause,[],[f4947]) ).
fof(f4947,plain,
( $false
| ~ spl72_43
| ~ spl72_180 ),
inference(subsumption_resolution,[],[f4946,f202]) ).
fof(f202,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f4946,plain,
( e20 = e21
| ~ spl72_43
| ~ spl72_180 ),
inference(forward_demodulation,[],[f1679,f1044]) ).
fof(f1679,plain,
( e21 = op2(e20,e23)
| ~ spl72_180 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f4937,plain,
( ~ spl72_36
| ~ spl72_137
| ~ spl72_144
| ~ spl72_229
| ~ spl72_298 ),
inference(avatar_contradiction_clause,[],[f4936]) ).
fof(f4936,plain,
( $false
| ~ spl72_36
| ~ spl72_137
| ~ spl72_144
| ~ spl72_229
| ~ spl72_298 ),
inference(subsumption_resolution,[],[f4935,f201]) ).
fof(f201,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f4935,plain,
( e21 = e22
| ~ spl72_36
| ~ spl72_137
| ~ spl72_144
| ~ spl72_229
| ~ spl72_298 ),
inference(forward_demodulation,[],[f4433,f1013]) ).
fof(f1013,plain,
( e22 = op2(e20,e21)
| ~ spl72_36 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1011,plain,
( spl72_36
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_36])]) ).
fof(f4433,plain,
( e21 = op2(e20,e21)
| ~ spl72_137
| ~ spl72_144
| ~ spl72_229
| ~ spl72_298 ),
inference(forward_demodulation,[],[f4432,f1497]) ).
fof(f4432,plain,
( op2(e20,e21) = h2(e12)
| ~ spl72_137
| ~ spl72_144
| ~ spl72_229
| ~ spl72_298 ),
inference(forward_demodulation,[],[f4431,f1920]) ).
fof(f4431,plain,
( op2(e20,e21) = h2(op1(e11,e12))
| ~ spl72_137
| ~ spl72_144
| ~ spl72_298 ),
inference(forward_demodulation,[],[f4430,f2437]) ).
fof(f4430,plain,
( h2(op1(e11,e12)) = op2(h2(e11),e21)
| ~ spl72_137
| ~ spl72_144 ),
inference(forward_demodulation,[],[f1469,f1497]) ).
fof(f1469,plain,
( h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
| ~ spl72_137 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1468,plain,
( spl72_137
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_137])]) ).
fof(f4931,plain,
( ~ spl72_83
| ~ spl72_121 ),
inference(avatar_contradiction_clause,[],[f4930]) ).
fof(f4930,plain,
( $false
| ~ spl72_83
| ~ spl72_121 ),
inference(subsumption_resolution,[],[f4929,f204]) ).
fof(f4929,plain,
( e21 = e23
| ~ spl72_83
| ~ spl72_121 ),
inference(forward_demodulation,[],[f1392,f1228]) ).
fof(f4928,plain,
( ~ spl72_285
| ~ spl72_310 ),
inference(avatar_contradiction_clause,[],[f4927]) ).
fof(f4927,plain,
( $false
| ~ spl72_285
| ~ spl72_310 ),
inference(subsumption_resolution,[],[f4926,f2296]) ).
fof(f4926,plain,
( e23 != op2(e20,e22)
| ~ spl72_310 ),
inference(forward_demodulation,[],[f2786,f2570]) ).
fof(f4903,plain,
( ~ spl72_56
| ~ spl72_237
| ~ spl72_275
| spl72_277 ),
inference(avatar_contradiction_clause,[],[f4902]) ).
fof(f4902,plain,
( $false
| ~ spl72_56
| ~ spl72_237
| ~ spl72_275
| spl72_277 ),
inference(subsumption_resolution,[],[f4901,f1108]) ).
fof(f4901,plain,
( e21 != h3(e11)
| ~ spl72_237
| ~ spl72_275
| spl72_277 ),
inference(forward_demodulation,[],[f4900,f2201]) ).
fof(f2201,plain,
( e21 = h4(e11)
| ~ spl72_275 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f4900,plain,
( h3(e11) != h4(e11)
| ~ spl72_237
| spl72_277 ),
inference(forward_demodulation,[],[f2222,f1969]) ).
fof(f4895,plain,
( ~ spl72_56
| ~ spl72_61
| ~ spl72_83
| spl72_270 ),
inference(avatar_contradiction_clause,[],[f4894]) ).
fof(f4894,plain,
( $false
| ~ spl72_56
| ~ spl72_61
| ~ spl72_83
| spl72_270 ),
inference(subsumption_resolution,[],[f4893,f1228]) ).
fof(f4893,plain,
( e23 != op2(e21,e23)
| ~ spl72_56
| ~ spl72_61
| spl72_270 ),
inference(forward_demodulation,[],[f4892,f2065]) ).
fof(f4892,plain,
( op2(e21,e23) != h3(e13)
| ~ spl72_56
| ~ spl72_61
| spl72_270 ),
inference(forward_demodulation,[],[f4891,f1129]) ).
fof(f4891,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl72_56
| spl72_270 ),
inference(forward_demodulation,[],[f2148,f1108]) ).
fof(f4886,plain,
( ~ spl72_23
| ~ spl72_74
| ~ spl72_214
| spl72_268
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f4885]) ).
fof(f4885,plain,
( $false
| ~ spl72_23
| ~ spl72_74
| ~ spl72_214
| spl72_268
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f4884,f956]) ).
fof(f4884,plain,
( e20 != op2(e22,e20)
| ~ spl72_74
| ~ spl72_214
| spl72_268
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4883,f1835]) ).
fof(f4883,plain,
( op2(e22,e20) != h3(e10)
| ~ spl72_74
| ~ spl72_214
| spl72_268
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4882,f1189]) ).
fof(f4882,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| ~ spl72_214
| spl72_268
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4881,f2358]) ).
fof(f4881,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl72_214
| spl72_268 ),
inference(forward_demodulation,[],[f2140,f1835]) ).
fof(f4880,plain,
( ~ spl72_56
| ~ spl72_91
| ~ spl72_179
| ~ spl72_214
| spl72_266 ),
inference(avatar_contradiction_clause,[],[f4879]) ).
fof(f4879,plain,
( $false
| ~ spl72_56
| ~ spl72_91
| ~ spl72_179
| ~ spl72_214
| spl72_266 ),
inference(subsumption_resolution,[],[f4878,f1675]) ).
fof(f4878,plain,
( e21 != op2(e20,e21)
| ~ spl72_56
| ~ spl72_91
| ~ spl72_214
| spl72_266 ),
inference(forward_demodulation,[],[f4877,f1108]) ).
fof(f4877,plain,
( op2(e20,e21) != h3(e11)
| ~ spl72_56
| ~ spl72_91
| ~ spl72_214
| spl72_266 ),
inference(forward_demodulation,[],[f4876,f1267]) ).
fof(f4876,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl72_56
| ~ spl72_214
| spl72_266 ),
inference(forward_demodulation,[],[f4875,f1835]) ).
fof(f4875,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl72_56
| spl72_266 ),
inference(forward_demodulation,[],[f2132,f1108]) ).
fof(f2132,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl72_266 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f2130,plain,
( spl72_266
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_266])]) ).
fof(f4860,plain,
( ~ spl72_34
| ~ spl72_56
| spl72_271
| ~ spl72_290
| ~ spl72_307 ),
inference(avatar_contradiction_clause,[],[f4859]) ).
fof(f4859,plain,
( $false
| ~ spl72_34
| ~ spl72_56
| spl72_271
| ~ spl72_290
| ~ spl72_307 ),
inference(subsumption_resolution,[],[f4858,f1005]) ).
fof(f4858,plain,
( e22 != op2(e23,e21)
| ~ spl72_56
| spl72_271
| ~ spl72_290
| ~ spl72_307 ),
inference(forward_demodulation,[],[f4857,f2358]) ).
fof(f4857,plain,
( op2(e23,e21) != h3(e12)
| ~ spl72_56
| spl72_271
| ~ spl72_307 ),
inference(forward_demodulation,[],[f4856,f2521]) ).
fof(f4856,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| ~ spl72_56
| spl72_271 ),
inference(forward_demodulation,[],[f2152,f1108]) ).
fof(f2152,plain,
( h3(op1(e13,e11)) != op2(e23,h3(e11))
| spl72_271 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f2150,plain,
( spl72_271
<=> h3(op1(e13,e11)) = op2(e23,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_271])]) ).
fof(f4855,plain,
( ~ spl72_43
| ~ spl72_76
| ~ spl72_214
| spl72_258 ),
inference(avatar_contradiction_clause,[],[f4854]) ).
fof(f4854,plain,
( $false
| ~ spl72_43
| ~ spl72_76
| ~ spl72_214
| spl72_258 ),
inference(subsumption_resolution,[],[f4853,f1044]) ).
fof(f4853,plain,
( e20 != op2(e20,e23)
| ~ spl72_76
| ~ spl72_214
| spl72_258 ),
inference(forward_demodulation,[],[f4852,f1835]) ).
fof(f4852,plain,
( op2(e20,e23) != h3(e10)
| ~ spl72_76
| ~ spl72_214
| spl72_258 ),
inference(forward_demodulation,[],[f4851,f1198]) ).
fof(f4851,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl72_214
| spl72_258 ),
inference(forward_demodulation,[],[f2100,f1835]) ).
fof(f4835,plain,
( ~ spl72_14
| ~ spl72_56
| ~ spl72_214
| ~ spl72_253
| spl72_262 ),
inference(avatar_contradiction_clause,[],[f4834]) ).
fof(f4834,plain,
( $false
| ~ spl72_14
| ~ spl72_56
| ~ spl72_214
| ~ spl72_253
| spl72_262 ),
inference(subsumption_resolution,[],[f4833,f2068]) ).
fof(f4833,plain,
( e21 != op2(e21,e20)
| ~ spl72_14
| ~ spl72_56
| ~ spl72_214
| spl72_262 ),
inference(forward_demodulation,[],[f4832,f1108]) ).
fof(f4832,plain,
( op2(e21,e20) != h3(e11)
| ~ spl72_14
| ~ spl72_56
| ~ spl72_214
| spl72_262 ),
inference(forward_demodulation,[],[f4831,f917]) ).
fof(f4831,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl72_56
| ~ spl72_214
| spl72_262 ),
inference(forward_demodulation,[],[f4830,f1108]) ).
fof(f4830,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl72_214
| spl72_262 ),
inference(forward_demodulation,[],[f2116,f1835]) ).
fof(f4818,plain,
( ~ spl72_56
| ~ spl72_229
| spl72_260
| ~ spl72_290
| ~ spl72_304 ),
inference(avatar_contradiction_clause,[],[f4817]) ).
fof(f4817,plain,
( $false
| ~ spl72_56
| ~ spl72_229
| spl72_260
| ~ spl72_290
| ~ spl72_304 ),
inference(subsumption_resolution,[],[f4816,f2493]) ).
fof(f4816,plain,
( e22 != op2(e21,e22)
| ~ spl72_56
| ~ spl72_229
| spl72_260
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4815,f2358]) ).
fof(f4815,plain,
( op2(e21,e22) != h3(e12)
| ~ spl72_56
| ~ spl72_229
| spl72_260
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4814,f1920]) ).
fof(f4814,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| ~ spl72_56
| spl72_260
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4813,f1108]) ).
fof(f4813,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| spl72_260
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2108,f2358]) ).
fof(f2108,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl72_260 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f2106,plain,
( spl72_260
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_260])]) ).
fof(f4804,plain,
( ~ spl72_7
| ~ spl72_13
| spl72_102
| ~ spl72_296
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f4803]) ).
fof(f4803,plain,
( $false
| ~ spl72_7
| ~ spl72_13
| spl72_102
| ~ spl72_296
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f4802,f886]) ).
fof(f4802,plain,
( e21 != op2(e22,e22)
| ~ spl72_13
| spl72_102
| ~ spl72_296
| ~ spl72_306 ),
inference(forward_demodulation,[],[f4801,f2515]) ).
fof(f4801,plain,
( op2(e22,e22) != h1(e10)
| ~ spl72_13
| spl72_102
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4800,f912]) ).
fof(f4800,plain,
( op2(e22,e22) != h1(op1(e11,e11))
| spl72_102
| ~ spl72_296 ),
inference(forward_demodulation,[],[f1316,f2407]) ).
fof(f4799,plain,
( ~ spl72_68
| ~ spl72_97
| ~ spl72_214
| spl72_259
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f4798]) ).
fof(f4798,plain,
( $false
| ~ spl72_68
| ~ spl72_97
| ~ spl72_214
| spl72_259
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f4797,f1161]) ).
fof(f4797,plain,
( e20 != op2(e23,e22)
| ~ spl72_97
| ~ spl72_214
| spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4796,f1835]) ).
fof(f4796,plain,
( op2(e23,e22) != h3(e10)
| ~ spl72_97
| spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4795,f1294]) ).
fof(f4795,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| spl72_259
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2104,f2358]) ).
fof(f4787,plain,
( ~ spl72_56
| ~ spl72_230
| spl72_257
| ~ spl72_290
| ~ spl72_300 ),
inference(avatar_contradiction_clause,[],[f4786]) ).
fof(f4786,plain,
( $false
| ~ spl72_56
| ~ spl72_230
| spl72_257
| ~ spl72_290
| ~ spl72_300 ),
inference(subsumption_resolution,[],[f4785,f2464]) ).
fof(f4785,plain,
( e23 != op2(e22,e21)
| ~ spl72_56
| ~ spl72_230
| spl72_257
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4784,f2065]) ).
fof(f4784,plain,
( op2(e22,e21) != h3(e13)
| ~ spl72_56
| ~ spl72_230
| spl72_257
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4783,f1925]) ).
fof(f4783,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| ~ spl72_56
| spl72_257
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4782,f2358]) ).
fof(f4782,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| ~ spl72_56
| spl72_257 ),
inference(forward_demodulation,[],[f2096,f1108]) ).
fof(f2096,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl72_257 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f2094,plain,
( spl72_257
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_257])]) ).
fof(f4781,plain,
( ~ spl72_23
| spl72_105
| ~ spl72_173
| ~ spl72_229
| ~ spl72_296 ),
inference(avatar_contradiction_clause,[],[f4780]) ).
fof(f4780,plain,
( $false
| ~ spl72_23
| spl72_105
| ~ spl72_173
| ~ spl72_229
| ~ spl72_296 ),
inference(subsumption_resolution,[],[f4779,f956]) ).
fof(f4779,plain,
( e20 != op2(e22,e20)
| spl72_105
| ~ spl72_173
| ~ spl72_229
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4778,f1640]) ).
fof(f4778,plain,
( op2(e22,e20) != h1(e12)
| spl72_105
| ~ spl72_173
| ~ spl72_229
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4777,f1920]) ).
fof(f4777,plain,
( op2(e22,e20) != h1(op1(e11,e12))
| spl72_105
| ~ spl72_173
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4776,f2407]) ).
fof(f4776,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| spl72_105
| ~ spl72_173 ),
inference(forward_demodulation,[],[f1328,f1640]) ).
fof(f4775,plain,
( spl72_104
| ~ spl72_173
| ~ spl72_230
| ~ spl72_285
| ~ spl72_289
| ~ spl72_296 ),
inference(avatar_contradiction_clause,[],[f4774]) ).
fof(f4774,plain,
( $false
| spl72_104
| ~ spl72_173
| ~ spl72_230
| ~ spl72_285
| ~ spl72_289
| ~ spl72_296 ),
inference(subsumption_resolution,[],[f4773,f2296]) ).
fof(f4773,plain,
( e23 != op2(e20,e22)
| spl72_104
| ~ spl72_173
| ~ spl72_230
| ~ spl72_289
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4772,f2348]) ).
fof(f4772,plain,
( op2(e20,e22) != h1(e13)
| spl72_104
| ~ spl72_173
| ~ spl72_230
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4771,f1925]) ).
fof(f4771,plain,
( op2(e20,e22) != h1(op1(e12,e11))
| spl72_104
| ~ spl72_173
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4770,f1640]) ).
fof(f4770,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e22)
| spl72_104
| ~ spl72_296 ),
inference(forward_demodulation,[],[f1324,f2407]) ).
fof(f4758,plain,
( spl72_103
| ~ spl72_126
| ~ spl72_161
| ~ spl72_173
| ~ spl72_306 ),
inference(avatar_contradiction_clause,[],[f4757]) ).
fof(f4757,plain,
( $false
| spl72_103
| ~ spl72_126
| ~ spl72_161
| ~ spl72_173
| ~ spl72_306 ),
inference(subsumption_resolution,[],[f4756,f1416]) ).
fof(f4756,plain,
( e20 != op2(e21,e21)
| spl72_103
| ~ spl72_161
| ~ spl72_173
| ~ spl72_306 ),
inference(forward_demodulation,[],[f4755,f1640]) ).
fof(f4755,plain,
( op2(e21,e21) != h1(e12)
| spl72_103
| ~ spl72_161
| ~ spl72_306 ),
inference(forward_demodulation,[],[f4754,f1575]) ).
fof(f4754,plain,
( op2(e21,e21) != h1(op1(e10,e10))
| spl72_103
| ~ spl72_306 ),
inference(forward_demodulation,[],[f1320,f2515]) ).
fof(f1320,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl72_103 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1318,plain,
( spl72_103
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_103])]) ).
fof(f4749,plain,
( ~ spl72_161
| ~ spl72_193
| ~ spl72_214
| spl72_265
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f4748]) ).
fof(f4748,plain,
( $false
| ~ spl72_161
| ~ spl72_193
| ~ spl72_214
| spl72_265
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f4747,f1738]) ).
fof(f4747,plain,
( op2(e20,e20) != e22
| ~ spl72_161
| ~ spl72_214
| spl72_265
| ~ spl72_290 ),
inference(forward_demodulation,[],[f4746,f2358]) ).
fof(f4746,plain,
( op2(e20,e20) != h3(e12)
| ~ spl72_161
| ~ spl72_214
| spl72_265 ),
inference(forward_demodulation,[],[f4745,f1575]) ).
fof(f4745,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl72_214
| spl72_265 ),
inference(forward_demodulation,[],[f2128,f1835]) ).
fof(f4691,plain,
( ~ spl72_133
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f4690,f1574,f1447]) ).
fof(f4690,plain,
( e12 != op1(e10,e12)
| ~ spl72_161 ),
inference(forward_demodulation,[],[f792,f1575]) ).
fof(f792,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4677,plain,
( ~ spl72_13
| spl72_269 ),
inference(avatar_contradiction_clause,[],[f4676]) ).
fof(f4676,plain,
( $false
| ~ spl72_13
| spl72_269 ),
inference(trivial_inequality_removal,[],[f4675]) ).
fof(f4675,plain,
( h3(e10) != h3(e10)
| ~ spl72_13
| spl72_269 ),
inference(forward_demodulation,[],[f2144,f912]) ).
fof(f2144,plain,
( h3(e10) != h3(op1(e11,e11))
| spl72_269 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f2142,plain,
( spl72_269
<=> h3(e10) = h3(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_269])]) ).
fof(f4645,plain,
( ~ spl72_286
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f4644,f1574,f2300]) ).
fof(f4644,plain,
( e12 != op1(e10,e13)
| ~ spl72_161 ),
inference(forward_demodulation,[],[f812,f1575]) ).
fof(f4640,plain,
( ~ spl72_20
| ~ spl72_43
| spl72_98
| ~ spl72_173
| ~ spl72_289 ),
inference(avatar_contradiction_clause,[],[f4639]) ).
fof(f4639,plain,
( $false
| ~ spl72_20
| ~ spl72_43
| spl72_98
| ~ spl72_173
| ~ spl72_289 ),
inference(subsumption_resolution,[],[f4634,f1640]) ).
fof(f4634,plain,
( e20 != h1(e12)
| ~ spl72_20
| ~ spl72_43
| spl72_98
| ~ spl72_173
| ~ spl72_289 ),
inference(backward_demodulation,[],[f4619,f942]) ).
fof(f4619,plain,
( e20 != h1(op1(e12,e13))
| ~ spl72_43
| spl72_98
| ~ spl72_173
| ~ spl72_289 ),
inference(forward_demodulation,[],[f4618,f1044]) ).
fof(f4618,plain,
( op2(e20,e23) != h1(op1(e12,e13))
| spl72_98
| ~ spl72_173
| ~ spl72_289 ),
inference(forward_demodulation,[],[f3137,f2348]) ).
fof(f3137,plain,
( h1(op1(e12,e13)) != op2(e20,h1(e13))
| spl72_98
| ~ spl72_173 ),
inference(forward_demodulation,[],[f1300,f1640]) ).
fof(f1300,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl72_98 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1298,plain,
( spl72_98
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_98])]) ).
fof(f4606,plain,
( ~ spl72_82
| ~ spl72_83 ),
inference(avatar_contradiction_clause,[],[f4605]) ).
fof(f4605,plain,
( $false
| ~ spl72_82
| ~ spl72_83 ),
inference(subsumption_resolution,[],[f4604,f1224]) ).
fof(f1224,plain,
( e23 = op2(e21,e22)
| ~ spl72_82 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f1222,plain,
( spl72_82
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_82])]) ).
fof(f4604,plain,
( e23 != op2(e21,e22)
| ~ spl72_83 ),
inference(forward_demodulation,[],[f769,f1228]) ).
fof(f769,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4603,plain,
( ~ spl72_82
| ~ spl72_285 ),
inference(avatar_contradiction_clause,[],[f4602]) ).
fof(f4602,plain,
( $false
| ~ spl72_82
| ~ spl72_285 ),
inference(subsumption_resolution,[],[f4601,f2296]) ).
fof(f4601,plain,
( e23 != op2(e20,e22)
| ~ spl72_82 ),
inference(forward_demodulation,[],[f771,f1224]) ).
fof(f771,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4600,plain,
( spl72_218
| ~ spl72_226
| ~ spl72_285 ),
inference(avatar_contradiction_clause,[],[f4599]) ).
fof(f4599,plain,
( $false
| spl72_218
| ~ spl72_226
| ~ spl72_285 ),
inference(subsumption_resolution,[],[f4598,f1867]) ).
fof(f4598,plain,
( e22 = e23
| ~ spl72_226
| ~ spl72_285 ),
inference(forward_demodulation,[],[f1906,f2296]) ).
fof(f1906,plain,
( e22 = op2(e20,e22)
| ~ spl72_226 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1904,plain,
( spl72_226
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_226])]) ).
fof(f4591,plain,
( ~ spl72_253
| ~ spl72_292 ),
inference(avatar_contradiction_clause,[],[f4590]) ).
fof(f4590,plain,
( $false
| ~ spl72_253
| ~ spl72_292 ),
inference(subsumption_resolution,[],[f4589,f201]) ).
fof(f4589,plain,
( e21 = e22
| ~ spl72_253
| ~ spl72_292 ),
inference(forward_demodulation,[],[f2376,f2068]) ).
fof(f2376,plain,
( e22 = op2(e21,e20)
| ~ spl72_292 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f4583,plain,
( spl72_196
| ~ spl72_275
| ~ spl72_281
| ~ spl72_300
| ~ spl72_307 ),
inference(avatar_contradiction_clause,[],[f4582]) ).
fof(f4582,plain,
( $false
| spl72_196
| ~ spl72_275
| ~ spl72_281
| ~ spl72_300
| ~ spl72_307 ),
inference(subsumption_resolution,[],[f4581,f2464]) ).
fof(f4581,plain,
( e23 != op2(e22,e21)
| spl72_196
| ~ spl72_275
| ~ spl72_281
| ~ spl72_307 ),
inference(forward_demodulation,[],[f4580,f383]) ).
fof(f4580,plain,
( op2(e22,e21) != h4(e12)
| spl72_196
| ~ spl72_275
| ~ spl72_281
| ~ spl72_307 ),
inference(forward_demodulation,[],[f4579,f2521]) ).
fof(f4579,plain,
( op2(e22,e21) != h4(op1(e13,e11))
| spl72_196
| ~ spl72_275
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4578,f2256]) ).
fof(f4578,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e21)
| spl72_196
| ~ spl72_275 ),
inference(forward_demodulation,[],[f1763,f2201]) ).
fof(f1763,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl72_196 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f1761,plain,
( spl72_196
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_196])]) ).
fof(f4577,plain,
( ~ spl72_230
| spl72_278 ),
inference(avatar_contradiction_clause,[],[f4576]) ).
fof(f4576,plain,
( $false
| ~ spl72_230
| spl72_278 ),
inference(trivial_inequality_removal,[],[f4575]) ).
fof(f4575,plain,
( h4(e13) != h4(e13)
| ~ spl72_230
| spl72_278 ),
inference(forward_demodulation,[],[f2245,f1925]) ).
fof(f2245,plain,
( h4(e13) != h4(op1(e12,e11))
| spl72_278 ),
inference(avatar_component_clause,[],[f2243]) ).
fof(f2243,plain,
( spl72_278
<=> h4(e13) = h4(op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_278])]) ).
fof(f4562,plain,
( ~ spl72_13
| spl72_279 ),
inference(avatar_contradiction_clause,[],[f4561]) ).
fof(f4561,plain,
( $false
| ~ spl72_13
| spl72_279 ),
inference(trivial_inequality_removal,[],[f4560]) ).
fof(f4560,plain,
( h4(e10) != h4(e10)
| ~ spl72_13
| spl72_279 ),
inference(forward_demodulation,[],[f2249,f912]) ).
fof(f2249,plain,
( h4(e10) != h4(op1(e11,e11))
| spl72_279 ),
inference(avatar_component_clause,[],[f2247]) ).
fof(f2247,plain,
( spl72_279
<=> h4(e10) = h4(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_279])]) ).
fof(f4556,plain,
( ~ spl72_38
| spl72_280 ),
inference(avatar_contradiction_clause,[],[f4555]) ).
fof(f4555,plain,
( $false
| ~ spl72_38
| spl72_280 ),
inference(trivial_inequality_removal,[],[f4554]) ).
fof(f4554,plain,
( h4(e11) != h4(e11)
| ~ spl72_38
| spl72_280 ),
inference(forward_demodulation,[],[f2253,f1022]) ).
fof(f2253,plain,
( h4(e11) != h4(op1(e12,e12))
| spl72_280 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2251,plain,
( spl72_280
<=> h4(e11) = h4(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_280])]) ).
fof(f4541,plain,
( ~ spl72_61
| spl72_210
| ~ spl72_275
| ~ spl72_281
| ~ spl72_304 ),
inference(avatar_contradiction_clause,[],[f4540]) ).
fof(f4540,plain,
( $false
| ~ spl72_61
| spl72_210
| ~ spl72_275
| ~ spl72_281
| ~ spl72_304 ),
inference(subsumption_resolution,[],[f4539,f2493]) ).
fof(f4539,plain,
( e22 != op2(e21,e22)
| ~ spl72_61
| spl72_210
| ~ spl72_275
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4538,f2256]) ).
fof(f4538,plain,
( op2(e21,e22) != h4(e13)
| ~ spl72_61
| spl72_210
| ~ spl72_275
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4537,f1129]) ).
fof(f4537,plain,
( op2(e21,e22) != h4(op1(e11,e13))
| spl72_210
| ~ spl72_275
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4536,f2201]) ).
fof(f4536,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e22)
| spl72_210
| ~ spl72_281 ),
inference(forward_demodulation,[],[f1819,f2256]) ).
fof(f4535,plain,
( ~ spl72_68
| ~ spl72_75
| spl72_209
| ~ spl72_281
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f4534]) ).
fof(f4534,plain,
( $false
| ~ spl72_68
| ~ spl72_75
| spl72_209
| ~ spl72_281
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4533,f1161]) ).
fof(f4533,plain,
( e20 != op2(e23,e22)
| ~ spl72_75
| spl72_209
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4532,f2487]) ).
fof(f4532,plain,
( op2(e23,e22) != h4(e10)
| ~ spl72_75
| spl72_209
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4531,f1193]) ).
fof(f4531,plain,
( op2(e23,e22) != h4(op1(e12,e13))
| spl72_209
| ~ spl72_281 ),
inference(forward_demodulation,[],[f1815,f2256]) ).
fof(f4523,plain,
( ~ spl72_7
| spl72_213
| ~ spl72_237
| ~ spl72_275
| ~ spl72_281 ),
inference(avatar_contradiction_clause,[],[f4522]) ).
fof(f4522,plain,
( $false
| ~ spl72_7
| spl72_213
| ~ spl72_237
| ~ spl72_275
| ~ spl72_281 ),
inference(subsumption_resolution,[],[f4521,f886]) ).
fof(f4521,plain,
( e21 != op2(e22,e22)
| spl72_213
| ~ spl72_237
| ~ spl72_275
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4520,f2201]) ).
fof(f4520,plain,
( op2(e22,e22) != h4(e11)
| spl72_213
| ~ spl72_237
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4519,f1969]) ).
fof(f4519,plain,
( op2(e22,e22) != h4(op1(e13,e13))
| spl72_213
| ~ spl72_281 ),
inference(forward_demodulation,[],[f1831,f2256]) ).
fof(f4518,plain,
( ~ spl72_91
| ~ spl72_179
| spl72_208
| ~ spl72_275
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f4517]) ).
fof(f4517,plain,
( $false
| ~ spl72_91
| ~ spl72_179
| spl72_208
| ~ spl72_275
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4516,f1675]) ).
fof(f4516,plain,
( e21 != op2(e20,e21)
| ~ spl72_91
| spl72_208
| ~ spl72_275
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4515,f2201]) ).
fof(f4515,plain,
( op2(e20,e21) != h4(e11)
| ~ spl72_91
| spl72_208
| ~ spl72_275
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4514,f1267]) ).
fof(f4514,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| spl72_208
| ~ spl72_275
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4513,f2487]) ).
fof(f4513,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| spl72_208
| ~ spl72_275 ),
inference(forward_demodulation,[],[f1811,f2201]) ).
fof(f4506,plain,
( ~ spl72_41
| ~ spl72_43
| spl72_211
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f4505]) ).
fof(f4505,plain,
( $false
| ~ spl72_41
| ~ spl72_43
| spl72_211
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4504,f1044]) ).
fof(f4504,plain,
( e20 != op2(e20,e23)
| ~ spl72_41
| spl72_211
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4503,f2487]) ).
fof(f4503,plain,
( op2(e20,e23) != h4(e10)
| ~ spl72_41
| spl72_211
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4502,f1035]) ).
fof(f4502,plain,
( op2(e20,e23) != h4(op1(e10,e12))
| spl72_211
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1823,f2487]) ).
fof(f4501,plain,
( ~ spl72_73
| ~ spl72_89
| spl72_206
| ~ spl72_281 ),
inference(avatar_contradiction_clause,[],[f4500]) ).
fof(f4500,plain,
( $false
| ~ spl72_73
| ~ spl72_89
| spl72_206
| ~ spl72_281 ),
inference(subsumption_resolution,[],[f4499,f1184]) ).
fof(f4499,plain,
( e22 != op2(e22,e23)
| ~ spl72_89
| spl72_206
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4498,f2256]) ).
fof(f4498,plain,
( op2(e22,e23) != h4(e13)
| ~ spl72_89
| spl72_206
| ~ spl72_281 ),
inference(forward_demodulation,[],[f4497,f1258]) ).
fof(f4497,plain,
( op2(e22,e23) != h4(op1(e13,e12))
| spl72_206
| ~ spl72_281 ),
inference(forward_demodulation,[],[f1803,f2256]) ).
fof(f4492,plain,
( spl72_202
| ~ spl72_281
| ~ spl72_285
| ~ spl72_286
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f4491]) ).
fof(f4491,plain,
( $false
| spl72_202
| ~ spl72_281
| ~ spl72_285
| ~ spl72_286
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4490,f2296]) ).
fof(f4490,plain,
( e23 != op2(e20,e22)
| spl72_202
| ~ spl72_281
| ~ spl72_286
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4489,f383]) ).
fof(f4489,plain,
( op2(e20,e22) != h4(e12)
| spl72_202
| ~ spl72_281
| ~ spl72_286
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4488,f2302]) ).
fof(f4488,plain,
( op2(e20,e22) != h4(op1(e10,e13))
| spl72_202
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4487,f2487]) ).
fof(f4487,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| spl72_202
| ~ spl72_281 ),
inference(forward_demodulation,[],[f1787,f2256]) ).
fof(f4474,plain,
( ~ spl72_83
| spl72_203
| ~ spl72_229
| ~ spl72_275 ),
inference(avatar_contradiction_clause,[],[f4473]) ).
fof(f4473,plain,
( $false
| ~ spl72_83
| spl72_203
| ~ spl72_229
| ~ spl72_275 ),
inference(subsumption_resolution,[],[f4472,f1228]) ).
fof(f4472,plain,
( e23 != op2(e21,e23)
| spl72_203
| ~ spl72_229
| ~ spl72_275 ),
inference(forward_demodulation,[],[f4471,f383]) ).
fof(f4471,plain,
( op2(e21,e23) != h4(e12)
| spl72_203
| ~ spl72_229
| ~ spl72_275 ),
inference(forward_demodulation,[],[f4470,f1920]) ).
fof(f4470,plain,
( op2(e21,e23) != h4(op1(e11,e12))
| spl72_203
| ~ spl72_275 ),
inference(forward_demodulation,[],[f1791,f2201]) ).
fof(f4463,plain,
( ~ spl72_17
| spl72_200
| ~ spl72_249
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f4462]) ).
fof(f4462,plain,
( $false
| ~ spl72_17
| spl72_200
| ~ spl72_249
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4461,f930]) ).
fof(f4461,plain,
( e23 != op2(e23,e20)
| spl72_200
| ~ spl72_249
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4460,f383]) ).
fof(f4460,plain,
( op2(e23,e20) != h4(e12)
| spl72_200
| ~ spl72_249
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4459,f2039]) ).
fof(f4459,plain,
( op2(e23,e20) != h4(op1(e12,e10))
| spl72_200
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1779,f2487]) ).
fof(f4448,plain,
( ~ spl72_77
| ~ spl72_193
| spl72_199
| ~ spl72_281
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f4447]) ).
fof(f4447,plain,
( $false
| ~ spl72_77
| ~ spl72_193
| spl72_199
| ~ spl72_281
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4446,f1738]) ).
fof(f4446,plain,
( op2(e20,e20) != e22
| ~ spl72_77
| spl72_199
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4445,f2256]) ).
fof(f4445,plain,
( op2(e20,e20) != h4(e13)
| ~ spl72_77
| spl72_199
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4444,f1201]) ).
fof(f4444,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| spl72_199
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1775,f2487]) ).
fof(f4429,plain,
( ~ spl72_14
| spl72_198
| ~ spl72_253
| ~ spl72_275
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f4428]) ).
fof(f4428,plain,
( $false
| ~ spl72_14
| spl72_198
| ~ spl72_253
| ~ spl72_275
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4427,f2068]) ).
fof(f4427,plain,
( e21 != op2(e21,e20)
| ~ spl72_14
| spl72_198
| ~ spl72_275
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4426,f2201]) ).
fof(f4426,plain,
( op2(e21,e20) != h4(e11)
| ~ spl72_14
| spl72_198
| ~ spl72_275
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4425,f917]) ).
fof(f4425,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| spl72_198
| ~ spl72_275
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4424,f2201]) ).
fof(f4424,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| spl72_198
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1771,f2487]) ).
fof(f4415,plain,
( spl72_137
| ~ spl72_144
| ~ spl72_179
| ~ spl72_229
| ~ spl72_298 ),
inference(avatar_contradiction_clause,[],[f4414]) ).
fof(f4414,plain,
( $false
| spl72_137
| ~ spl72_144
| ~ spl72_179
| ~ spl72_229
| ~ spl72_298 ),
inference(subsumption_resolution,[],[f4413,f1675]) ).
fof(f4413,plain,
( e21 != op2(e20,e21)
| spl72_137
| ~ spl72_144
| ~ spl72_229
| ~ spl72_298 ),
inference(forward_demodulation,[],[f4412,f1497]) ).
fof(f4412,plain,
( op2(e20,e21) != h2(e12)
| spl72_137
| ~ spl72_144
| ~ spl72_229
| ~ spl72_298 ),
inference(forward_demodulation,[],[f4411,f1920]) ).
fof(f4411,plain,
( op2(e20,e21) != h2(op1(e11,e12))
| spl72_137
| ~ spl72_144
| ~ spl72_298 ),
inference(forward_demodulation,[],[f4410,f2437]) ).
fof(f4410,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| spl72_137
| ~ spl72_144 ),
inference(forward_demodulation,[],[f1470,f1497]) ).
fof(f1470,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl72_137 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f4406,plain,
( spl72_289
| ~ spl72_285
| ~ spl72_296 ),
inference(avatar_split_clause,[],[f4399,f2406,f2294,f2347]) ).
fof(f4399,plain,
( e23 = h1(e13)
| ~ spl72_285
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4398,f2296]) ).
fof(f4398,plain,
( op2(e20,e22) = h1(e13)
| ~ spl72_296 ),
inference(forward_demodulation,[],[f2785,f2407]) ).
fof(f4389,plain,
( ~ spl72_23
| ~ spl72_160
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(avatar_contradiction_clause,[],[f4388]) ).
fof(f4388,plain,
( $false
| ~ spl72_23
| ~ spl72_160
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(subsumption_resolution,[],[f4387,f956]) ).
fof(f4387,plain,
( e20 != op2(e22,e20)
| ~ spl72_160
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4386,f2487]) ).
fof(f4386,plain,
( op2(e22,e20) != h4(e10)
| ~ spl72_160
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4385,f1571]) ).
fof(f4385,plain,
( op2(e22,e20) != h4(op1(e13,e10))
| spl72_201
| ~ spl72_281
| ~ spl72_303 ),
inference(forward_demodulation,[],[f4255,f2256]) ).
fof(f4255,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| spl72_201
| ~ spl72_303 ),
inference(forward_demodulation,[],[f1783,f2487]) ).
fof(f4367,plain,
( ~ spl72_189
| ~ spl72_230 ),
inference(avatar_split_clause,[],[f4366,f1923,f1716]) ).
fof(f1716,plain,
( spl72_189
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_189])]) ).
fof(f4366,plain,
( e13 != op1(e12,e13)
| ~ spl72_230 ),
inference(forward_demodulation,[],[f800,f1925]) ).
fof(f800,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4296,plain,
( spl72_306
| ~ spl72_7
| ~ spl72_296 ),
inference(avatar_split_clause,[],[f4295,f2406,f884,f2514]) ).
fof(f4295,plain,
( e21 = h1(e10)
| ~ spl72_7
| ~ spl72_296 ),
inference(forward_demodulation,[],[f4294,f886]) ).
fof(f4294,plain,
( op2(e22,e22) = h1(e10)
| ~ spl72_296 ),
inference(forward_demodulation,[],[f2784,f2407]) ).
fof(f4280,plain,
( ~ spl72_34
| ~ spl72_275
| spl72_281 ),
inference(avatar_contradiction_clause,[],[f4279]) ).
fof(f4279,plain,
( $false
| ~ spl72_34
| ~ spl72_275
| spl72_281 ),
inference(subsumption_resolution,[],[f4278,f2257]) ).
fof(f2257,plain,
( e22 != h4(e13)
| spl72_281 ),
inference(avatar_component_clause,[],[f2255]) ).
fof(f4278,plain,
( e22 = h4(e13)
| ~ spl72_34
| ~ spl72_275 ),
inference(forward_demodulation,[],[f4145,f1005]) ).
fof(f4145,plain,
( op2(e23,e21) = h4(e13)
| ~ spl72_275 ),
inference(forward_demodulation,[],[f2192,f2201]) ).
fof(f2192,plain,
h4(e13) = op2(e23,h4(e11)),
inference(backward_demodulation,[],[f385,f382]) ).
fof(f385,plain,
h4(e13) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f4277,plain,
( ~ spl72_168
| ~ spl72_253 ),
inference(avatar_split_clause,[],[f4276,f2067,f1608]) ).
fof(f4276,plain,
( e21 != op2(e23,e20)
| ~ spl72_253 ),
inference(forward_demodulation,[],[f767,f2068]) ).
fof(f767,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4275,plain,
( ~ spl72_167
| ~ spl72_68 ),
inference(avatar_split_clause,[],[f4274,f1159,f1604]) ).
fof(f4274,plain,
( e20 != op2(e23,e20)
| ~ spl72_68 ),
inference(forward_demodulation,[],[f737,f1161]) ).
fof(f4273,plain,
( ~ spl72_44
| ~ spl72_41 ),
inference(avatar_split_clause,[],[f4271,f1033,f1047]) ).
fof(f1047,plain,
( spl72_44
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_44])]) ).
fof(f4271,plain,
( e10 != op1(e10,e10)
| ~ spl72_41 ),
inference(backward_demodulation,[],[f792,f1035]) ).
fof(f4265,plain,
( ~ spl72_301
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f3333,f1020,f2472]) ).
fof(f2472,plain,
( spl72_301
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_301])]) ).
fof(f3333,plain,
( e11 != op1(e10,e12)
| ~ spl72_38 ),
inference(forward_demodulation,[],[f787,f1022]) ).
fof(f787,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4264,plain,
( ~ spl72_276
| ~ spl72_230 ),
inference(avatar_split_clause,[],[f4263,f1923,f2205]) ).
fof(f2205,plain,
( spl72_276
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_276])]) ).
fof(f4263,plain,
( e13 != op1(e12,e10)
| ~ spl72_230 ),
inference(forward_demodulation,[],[f794,f1925]) ).
fof(f794,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4252,plain,
( ~ spl72_20
| ~ spl72_75 ),
inference(avatar_contradiction_clause,[],[f4251]) ).
fof(f4251,plain,
( $false
| ~ spl72_20
| ~ spl72_75 ),
inference(subsumption_resolution,[],[f4250,f723]) ).
fof(f723,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f4250,plain,
( e10 = e12
| ~ spl72_20
| ~ spl72_75 ),
inference(forward_demodulation,[],[f1193,f942]) ).
fof(f4248,plain,
( ~ spl72_167
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f4247,f954,f1604]) ).
fof(f4247,plain,
( e20 != op2(e23,e20)
| ~ spl72_23 ),
inference(forward_demodulation,[],[f730,f956]) ).
fof(f730,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4245,plain,
( ~ spl72_37
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f4244,f1020,f1016]) ).
fof(f1016,plain,
( spl72_37
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_37])]) ).
fof(f4244,plain,
( e11 != op1(e12,e10)
| ~ spl72_38 ),
inference(forward_demodulation,[],[f778,f1022]) ).
fof(f778,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4237,plain,
( ~ spl72_215
| ~ spl72_61 ),
inference(avatar_split_clause,[],[f3906,f1127,f1841]) ).
fof(f3906,plain,
( e13 != op1(e10,e13)
| ~ spl72_61 ),
inference(forward_demodulation,[],[f803,f1129]) ).
fof(f4232,plain,
( ~ spl72_162
| ~ spl72_298 ),
inference(avatar_split_clause,[],[f4036,f2435,f1579]) ).
fof(f1579,plain,
( spl72_162
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_162])]) ).
fof(f4036,plain,
( e20 != op2(e23,e21)
| ~ spl72_298 ),
inference(forward_demodulation,[],[f2395,f2437]) ).
fof(f2395,plain,
op2(e23,e21) != h2(e11),
inference(backward_demodulation,[],[f740,f387]) ).
fof(f740,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4230,plain,
( ~ spl72_67
| ~ spl72_20
| ~ spl72_25
| spl72_98
| ~ spl72_173 ),
inference(avatar_split_clause,[],[f4178,f1639,f1298,f963,f941,f1155]) ).
fof(f4178,plain,
( e20 != op2(e20,e22)
| ~ spl72_20
| ~ spl72_25
| spl72_98
| ~ spl72_173 ),
inference(backward_demodulation,[],[f3640,f964]) ).
fof(f3640,plain,
( e20 != op2(e20,h1(e13))
| ~ spl72_20
| spl72_98
| ~ spl72_173 ),
inference(forward_demodulation,[],[f3639,f1640]) ).
fof(f3639,plain,
( h1(e12) != op2(e20,h1(e13))
| ~ spl72_20
| spl72_98
| ~ spl72_173 ),
inference(forward_demodulation,[],[f3137,f942]) ).
fof(f4229,plain,
( ~ spl72_297
| ~ spl72_307 ),
inference(avatar_split_clause,[],[f3671,f2519,f2416]) ).
fof(f3671,plain,
( e12 != op1(e13,e10)
| ~ spl72_307 ),
inference(forward_demodulation,[],[f823,f2521]) ).
fof(f823,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4224,plain,
( ~ spl72_25
| ~ spl72_226
| ~ spl72_283 ),
inference(avatar_contradiction_clause,[],[f4223]) ).
fof(f4223,plain,
( $false
| ~ spl72_25
| ~ spl72_226
| ~ spl72_283 ),
inference(subsumption_resolution,[],[f4222,f1906]) ).
fof(f4222,plain,
( e22 != op2(e20,e22)
| ~ spl72_25
| ~ spl72_283 ),
inference(forward_demodulation,[],[f4061,f964]) ).
fof(f4061,plain,
( op2(e20,e22) != h1(e13)
| ~ spl72_283 ),
inference(forward_demodulation,[],[f752,f3956]) ).
fof(f3956,plain,
( op2(e20,e21) = h1(e13)
| ~ spl72_283 ),
inference(backward_demodulation,[],[f2785,f2269]) ).
fof(f2269,plain,
( e21 = h1(e11)
| ~ spl72_283 ),
inference(avatar_component_clause,[],[f2268]) ).
fof(f752,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4204,plain,
( ~ spl72_47
| ~ spl72_185 ),
inference(avatar_contradiction_clause,[],[f4203]) ).
fof(f4203,plain,
( $false
| ~ spl72_47
| ~ spl72_185 ),
inference(subsumption_resolution,[],[f4202,f204]) ).
fof(f4202,plain,
( e21 = e23
| ~ spl72_47
| ~ spl72_185 ),
inference(forward_demodulation,[],[f1700,f1063]) ).
fof(f1063,plain,
( op2(e20,e20) = e21
| ~ spl72_47 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1062,plain,
( spl72_47
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_47])]) ).
fof(f4184,plain,
( ~ spl72_121
| ~ spl72_275 ),
inference(avatar_split_clause,[],[f4183,f2200,f1391]) ).
fof(f4183,plain,
( e21 != op2(e21,e23)
| ~ spl72_275 ),
inference(forward_demodulation,[],[f2535,f2201]) ).
fof(f2535,plain,
op2(e21,e23) != h4(e11),
inference(forward_demodulation,[],[f749,f382]) ).
fof(f749,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4173,plain,
( ~ spl72_69
| ~ spl72_304 ),
inference(avatar_contradiction_clause,[],[f4172]) ).
fof(f4172,plain,
( $false
| ~ spl72_69
| ~ spl72_304 ),
inference(subsumption_resolution,[],[f4171,f200]) ).
fof(f200,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f4171,plain,
( e20 = e22
| ~ spl72_69
| ~ spl72_304 ),
inference(forward_demodulation,[],[f1165,f2493]) ).
fof(f1165,plain,
( e20 = op2(e21,e22)
| ~ spl72_69 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1163,plain,
( spl72_69
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_69])]) ).
fof(f4159,plain,
( ~ spl72_168
| ~ spl72_28 ),
inference(avatar_split_clause,[],[f4158,f976,f1608]) ).
fof(f4158,plain,
( e21 != op2(e23,e20)
| ~ spl72_28 ),
inference(forward_demodulation,[],[f736,f978]) ).
fof(f4143,plain,
( ~ spl72_177
| ~ spl72_73 ),
inference(avatar_split_clause,[],[f4022,f1182,f1660]) ).
fof(f1660,plain,
( spl72_177
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_177])]) ).
fof(f4022,plain,
( e22 != op2(e21,e23)
| ~ spl72_73 ),
inference(forward_demodulation,[],[f772,f1184]) ).
fof(f772,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4142,plain,
( ~ spl72_226
| ~ spl72_304 ),
inference(avatar_split_clause,[],[f3815,f2491,f1904]) ).
fof(f3815,plain,
( e22 != op2(e20,e22)
| ~ spl72_304 ),
inference(forward_demodulation,[],[f771,f2493]) ).
fof(f4139,plain,
( ~ spl72_194
| ~ spl72_298 ),
inference(avatar_split_clause,[],[f4138,f2435,f1742]) ).
fof(f1742,plain,
( spl72_194
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_194])]) ).
fof(f4138,plain,
( e20 != op2(e21,e20)
| ~ spl72_298 ),
inference(forward_demodulation,[],[f2396,f2437]) ).
fof(f2396,plain,
op2(e21,e20) != h2(e11),
inference(backward_demodulation,[],[f755,f387]) ).
fof(f755,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4123,plain,
( ~ spl72_298
| ~ spl72_308 ),
inference(avatar_contradiction_clause,[],[f4122]) ).
fof(f4122,plain,
( $false
| ~ spl72_298
| ~ spl72_308 ),
inference(subsumption_resolution,[],[f4121,f202]) ).
fof(f4121,plain,
( e20 = e21
| ~ spl72_298
| ~ spl72_308 ),
inference(forward_demodulation,[],[f2532,f2437]) ).
fof(f2532,plain,
( e21 = h2(e11)
| ~ spl72_308 ),
inference(avatar_component_clause,[],[f2531]) ).
fof(f2531,plain,
( spl72_308
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_308])]) ).
fof(f4117,plain,
( ~ spl72_214
| ~ spl72_216
| spl72_255
| ~ spl72_285
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f4116]) ).
fof(f4116,plain,
( $false
| ~ spl72_214
| ~ spl72_216
| spl72_255
| ~ spl72_285
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f3901,f2296]) ).
fof(f3901,plain,
( e23 != op2(e20,e22)
| ~ spl72_214
| ~ spl72_216
| spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3900,f2065]) ).
fof(f3900,plain,
( op2(e20,e22) != h3(e13)
| ~ spl72_214
| ~ spl72_216
| spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3661,f1847]) ).
fof(f3661,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| ~ spl72_214
| spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3660,f1835]) ).
fof(f3660,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2088,f2358]) ).
fof(f2088,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl72_255 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f4110,plain,
( ~ spl72_11
| ~ spl72_169 ),
inference(avatar_contradiction_clause,[],[f4109]) ).
fof(f4109,plain,
( $false
| ~ spl72_11
| ~ spl72_169 ),
inference(subsumption_resolution,[],[f4108,f201]) ).
fof(f4108,plain,
( e21 = e22
| ~ spl72_11
| ~ spl72_169 ),
inference(forward_demodulation,[],[f1614,f904]) ).
fof(f4107,plain,
( ~ spl72_17
| ~ spl72_80 ),
inference(avatar_contradiction_clause,[],[f4106]) ).
fof(f4106,plain,
( $false
| ~ spl72_17
| ~ spl72_80 ),
inference(subsumption_resolution,[],[f4105,f1216]) ).
fof(f4105,plain,
( e23 != op2(e21,e20)
| ~ spl72_17 ),
inference(forward_demodulation,[],[f767,f930]) ).
fof(f4102,plain,
( ~ spl72_56
| ~ spl72_57 ),
inference(avatar_contradiction_clause,[],[f4101]) ).
fof(f4101,plain,
( $false
| ~ spl72_56
| ~ spl72_57 ),
inference(subsumption_resolution,[],[f4100,f202]) ).
fof(f4100,plain,
( e20 = e21
| ~ spl72_56
| ~ spl72_57 ),
inference(forward_demodulation,[],[f1112,f1108]) ).
fof(f1112,plain,
( e20 = h3(e11)
| ~ spl72_57 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1110,plain,
( spl72_57
<=> e20 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_57])]) ).
fof(f4093,plain,
( spl72_303
| ~ spl72_126
| ~ spl72_275 ),
inference(avatar_split_clause,[],[f4092,f2200,f1414,f2486]) ).
fof(f4092,plain,
( e20 = h4(e10)
| ~ spl72_126
| ~ spl72_275 ),
inference(forward_demodulation,[],[f4087,f1416]) ).
fof(f4087,plain,
( op2(e21,e21) = h4(e10)
| ~ spl72_275 ),
inference(backward_demodulation,[],[f2191,f2201]) ).
fof(f2191,plain,
h4(e10) = op2(h4(e11),h4(e11)),
inference(backward_demodulation,[],[f384,f382]) ).
fof(f384,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f4082,plain,
( ~ spl72_293
| ~ spl72_17 ),
inference(avatar_split_clause,[],[f4081,f928,f2383]) ).
fof(f4081,plain,
( e23 != h4(e11)
| ~ spl72_17 ),
inference(forward_demodulation,[],[f2272,f930]) ).
fof(f4074,plain,
( ~ spl72_42
| ~ spl72_298 ),
inference(avatar_contradiction_clause,[],[f4073]) ).
fof(f4073,plain,
( $false
| ~ spl72_42
| ~ spl72_298 ),
inference(subsumption_resolution,[],[f4072,f1040]) ).
fof(f1040,plain,
( e20 = op2(e21,e23)
| ~ spl72_42 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1038,plain,
( spl72_42
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_42])]) ).
fof(f4072,plain,
( e20 != op2(e21,e23)
| ~ spl72_298 ),
inference(forward_demodulation,[],[f2722,f2437]) ).
fof(f2722,plain,
op2(e21,e23) != h2(e11),
inference(forward_demodulation,[],[f760,f387]) ).
fof(f760,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4053,plain,
( ~ spl72_293
| ~ spl72_170 ),
inference(avatar_split_clause,[],[f4052,f1617,f2383]) ).
fof(f4052,plain,
( e23 != h4(e11)
| ~ spl72_170 ),
inference(forward_demodulation,[],[f2193,f1619]) ).
fof(f2193,plain,
op2(e23,e22) != h4(e11),
inference(backward_demodulation,[],[f729,f382]) ).
fof(f729,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4051,plain,
( spl72_25
| ~ spl72_36
| ~ spl72_283 ),
inference(avatar_split_clause,[],[f4050,f2268,f1011,f963]) ).
fof(f4050,plain,
( e22 = h1(e13)
| ~ spl72_36
| ~ spl72_283 ),
inference(forward_demodulation,[],[f1013,f3956]) ).
fof(f4046,plain,
( ~ spl72_43
| spl72_158
| ~ spl72_227 ),
inference(avatar_contradiction_clause,[],[f4045]) ).
fof(f4045,plain,
( $false
| ~ spl72_43
| spl72_158
| ~ spl72_227 ),
inference(subsumption_resolution,[],[f4044,f1562]) ).
fof(f4044,plain,
( e20 = e23
| ~ spl72_43
| ~ spl72_227 ),
inference(forward_demodulation,[],[f1044,f1911]) ).
fof(f4035,plain,
( ~ spl72_48
| ~ spl72_298 ),
inference(avatar_split_clause,[],[f3868,f2435,f1066]) ).
fof(f1066,plain,
( spl72_48
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_48])]) ).
fof(f3868,plain,
( e20 != op2(e20,e21)
| ~ spl72_298 ),
inference(forward_demodulation,[],[f2397,f2437]) ).
fof(f2397,plain,
op2(e20,e21) != h2(e11),
inference(backward_demodulation,[],[f759,f387]) ).
fof(f759,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4029,plain,
( ~ spl72_179
| ~ spl72_283 ),
inference(avatar_split_clause,[],[f4028,f2268,f1673]) ).
fof(f4028,plain,
( e21 != op2(e20,e21)
| ~ spl72_283 ),
inference(forward_demodulation,[],[f2787,f2269]) ).
fof(f2787,plain,
op2(e20,e21) != h1(e11),
inference(backward_demodulation,[],[f733,f694]) ).
fof(f733,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4026,plain,
( spl72_218
| ~ spl72_225
| ~ spl72_227 ),
inference(avatar_contradiction_clause,[],[f4025]) ).
fof(f4025,plain,
( $false
| spl72_218
| ~ spl72_225
| ~ spl72_227 ),
inference(subsumption_resolution,[],[f4024,f1867]) ).
fof(f4024,plain,
( e22 = e23
| ~ spl72_225
| ~ spl72_227 ),
inference(forward_demodulation,[],[f1902,f1911]) ).
fof(f4009,plain,
( ~ spl72_8
| ~ spl72_38
| ~ spl72_56
| ~ spl72_267
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f4008]) ).
fof(f4008,plain,
( $false
| ~ spl72_8
| ~ spl72_38
| ~ spl72_56
| ~ spl72_267
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f4007,f201]) ).
fof(f4007,plain,
( e21 = e22
| ~ spl72_8
| ~ spl72_38
| ~ spl72_56
| ~ spl72_267
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3537,f891]) ).
fof(f891,plain,
( e22 = op2(e22,e22)
| ~ spl72_8 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f889,plain,
( spl72_8
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_8])]) ).
fof(f3537,plain,
( e21 = op2(e22,e22)
| ~ spl72_38
| ~ spl72_56
| ~ spl72_267
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3536,f1108]) ).
fof(f3536,plain,
( op2(e22,e22) = h3(e11)
| ~ spl72_38
| ~ spl72_267
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3535,f1022]) ).
fof(f3535,plain,
( op2(e22,e22) = h3(op1(e12,e12))
| ~ spl72_267
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2135,f2358]) ).
fof(f2135,plain,
( h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
| ~ spl72_267 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f2134,plain,
( spl72_267
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_267])]) ).
fof(f4000,plain,
( ~ spl72_16
| spl72_136
| ~ spl72_237
| ~ spl72_298
| ~ spl72_314 ),
inference(avatar_contradiction_clause,[],[f3999]) ).
fof(f3999,plain,
( $false
| ~ spl72_16
| spl72_136
| ~ spl72_237
| ~ spl72_298
| ~ spl72_314 ),
inference(subsumption_resolution,[],[f3998,f925]) ).
fof(f3998,plain,
( e20 != op2(e23,e23)
| spl72_136
| ~ spl72_237
| ~ spl72_298
| ~ spl72_314 ),
inference(backward_demodulation,[],[f3847,f2625]) ).
fof(f3847,plain,
( e20 != op2(h2(e13),h2(e13))
| spl72_136
| ~ spl72_237
| ~ spl72_298 ),
inference(backward_demodulation,[],[f3561,f2437]) ).
fof(f3561,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| spl72_136
| ~ spl72_237 ),
inference(forward_demodulation,[],[f1466,f1969]) ).
fof(f1466,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl72_136 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1464,plain,
( spl72_136
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_136])]) ).
fof(f3967,plain,
( ~ spl72_17
| ~ spl72_168 ),
inference(avatar_contradiction_clause,[],[f3966]) ).
fof(f3966,plain,
( $false
| ~ spl72_17
| ~ spl72_168 ),
inference(subsumption_resolution,[],[f3965,f204]) ).
fof(f3965,plain,
( e21 = e23
| ~ spl72_17
| ~ spl72_168 ),
inference(forward_demodulation,[],[f930,f1610]) ).
fof(f3955,plain,
( ~ spl72_80
| spl72_218
| ~ spl72_292 ),
inference(avatar_contradiction_clause,[],[f3954]) ).
fof(f3954,plain,
( $false
| ~ spl72_80
| spl72_218
| ~ spl72_292 ),
inference(subsumption_resolution,[],[f3953,f1867]) ).
fof(f3953,plain,
( e22 = e23
| ~ spl72_80
| ~ spl72_292 ),
inference(forward_demodulation,[],[f2376,f1216]) ).
fof(f3939,plain,
( ~ spl72_160
| ~ spl72_97 ),
inference(avatar_split_clause,[],[f3938,f1292,f1569]) ).
fof(f3938,plain,
( e10 != op1(e13,e10)
| ~ spl72_97 ),
inference(backward_demodulation,[],[f810,f1294]) ).
fof(f3924,plain,
( ~ spl72_5
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f3923,f1106,f876]) ).
fof(f876,plain,
( spl72_5
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).
fof(f3923,plain,
( e21 != op2(e22,e23)
| ~ spl72_56 ),
inference(forward_demodulation,[],[f1936,f1108]) ).
fof(f1936,plain,
op2(e22,e23) != h3(e11),
inference(forward_demodulation,[],[f739,f720]) ).
fof(f739,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3898,plain,
( ~ spl72_51
| ~ spl72_229 ),
inference(avatar_split_clause,[],[f3897,f1918,f1079]) ).
fof(f1079,plain,
( spl72_51
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_51])]) ).
fof(f3897,plain,
( e12 != op1(e13,e12)
| ~ spl72_229 ),
inference(forward_demodulation,[],[f809,f1920]) ).
fof(f809,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3890,plain,
( ~ spl72_133
| ~ spl72_229 ),
inference(avatar_split_clause,[],[f3889,f1918,f1447]) ).
fof(f3889,plain,
( e12 != op1(e10,e12)
| ~ spl72_229 ),
inference(backward_demodulation,[],[f825,f1920]) ).
fof(f825,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3881,plain,
( ~ spl72_51
| ~ spl72_307 ),
inference(avatar_split_clause,[],[f3880,f2519,f1079]) ).
fof(f3880,plain,
( e12 != op1(e13,e12)
| ~ spl72_307 ),
inference(forward_demodulation,[],[f811,f2521]) ).
fof(f811,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3874,plain,
( ~ spl72_41
| ~ spl72_133 ),
inference(avatar_contradiction_clause,[],[f3873]) ).
fof(f3873,plain,
( $false
| ~ spl72_41
| ~ spl72_133 ),
inference(subsumption_resolution,[],[f3872,f723]) ).
fof(f3872,plain,
( e10 = e12
| ~ spl72_41
| ~ spl72_133 ),
inference(forward_demodulation,[],[f1449,f1035]) ).
fof(f1449,plain,
( e12 = op1(e10,e12)
| ~ spl72_133 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f3853,plain,
( spl72_314
| ~ spl72_80
| ~ spl72_298 ),
inference(avatar_split_clause,[],[f3852,f2435,f1214,f2624]) ).
fof(f3852,plain,
( e23 = h2(e13)
| ~ spl72_80
| ~ spl72_298 ),
inference(forward_demodulation,[],[f3844,f1216]) ).
fof(f3844,plain,
( op2(e21,e20) = h2(e13)
| ~ spl72_298 ),
inference(backward_demodulation,[],[f2802,f2437]) ).
fof(f2802,plain,
h2(e13) = op2(e21,h2(e11)),
inference(forward_demodulation,[],[f388,f387]) ).
fof(f388,plain,
h2(e13) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f3814,plain,
( ~ spl72_86
| ~ spl72_296 ),
inference(avatar_split_clause,[],[f3813,f2406,f1242]) ).
fof(f3813,plain,
( e22 != op2(e22,e20)
| ~ spl72_296 ),
inference(forward_demodulation,[],[f2789,f2407]) ).
fof(f2789,plain,
op2(e22,e20) != h1(e11),
inference(backward_demodulation,[],[f763,f694]) ).
fof(f763,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3806,plain,
( ~ spl72_14
| ~ spl72_273 ),
inference(avatar_contradiction_clause,[],[f3805]) ).
fof(f3805,plain,
( $false
| ~ spl72_14
| ~ spl72_273 ),
inference(subsumption_resolution,[],[f3804,f724]) ).
fof(f3804,plain,
( e11 = e12
| ~ spl72_14
| ~ spl72_273 ),
inference(forward_demodulation,[],[f2166,f917]) ).
fof(f2166,plain,
( e12 = op1(e11,e10)
| ~ spl72_273 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f3792,plain,
( spl72_298
| ~ spl72_56
| ~ spl72_214 ),
inference(avatar_split_clause,[],[f3399,f1834,f1106,f2435]) ).
fof(f3399,plain,
( e20 = h2(e11)
| ~ spl72_56
| ~ spl72_214 ),
inference(forward_demodulation,[],[f3398,f387]) ).
fof(f3398,plain,
( e20 = op2(e21,e21)
| ~ spl72_56
| ~ spl72_214 ),
inference(forward_demodulation,[],[f2897,f1108]) ).
fof(f2897,plain,
( e20 = op2(h3(e11),h3(e11))
| ~ spl72_214 ),
inference(backward_demodulation,[],[f1583,f1835]) ).
fof(f1583,plain,
h3(e10) = op2(h3(e11),h3(e11)),
inference(forward_demodulation,[],[f719,f720]) ).
fof(f719,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f3786,plain,
( ~ spl72_89
| ~ spl72_220 ),
inference(avatar_contradiction_clause,[],[f3785]) ).
fof(f3785,plain,
( $false
| ~ spl72_89
| ~ spl72_220 ),
inference(subsumption_resolution,[],[f3784,f1878]) ).
fof(f1878,plain,
( e13 = op1(e11,e12)
| ~ spl72_220 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f1876,plain,
( spl72_220
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_220])]) ).
fof(f3784,plain,
( e13 != op1(e11,e12)
| ~ spl72_89 ),
inference(forward_demodulation,[],[f809,f1258]) ).
fof(f3778,plain,
( ~ spl72_54
| ~ spl72_300 ),
inference(avatar_split_clause,[],[f3777,f2462,f1093]) ).
fof(f1093,plain,
( spl72_54
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_54])]) ).
fof(f3777,plain,
( e23 != op2(e23,e21)
| ~ spl72_300 ),
inference(forward_demodulation,[],[f754,f2464]) ).
fof(f754,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3775,plain,
( ~ spl72_228
| ~ spl72_300 ),
inference(avatar_contradiction_clause,[],[f3774]) ).
fof(f3774,plain,
( $false
| ~ spl72_228
| ~ spl72_300 ),
inference(subsumption_resolution,[],[f3484,f2464]) ).
fof(f3484,plain,
( e23 != op2(e22,e21)
| ~ spl72_228 ),
inference(forward_demodulation,[],[f750,f1915]) ).
fof(f1915,plain,
( e23 = op2(e22,e23)
| ~ spl72_228 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f1913,plain,
( spl72_228
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_228])]) ).
fof(f750,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3771,plain,
( ~ spl72_287
| ~ spl72_300 ),
inference(avatar_split_clause,[],[f3766,f2462,f2327]) ).
fof(f2327,plain,
( spl72_287
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_287])]) ).
fof(f3766,plain,
( e23 != op2(e22,e20)
| ~ spl72_300 ),
inference(backward_demodulation,[],[f742,f2464]) ).
fof(f742,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3770,plain,
( ~ spl72_190
| ~ spl72_300 ),
inference(avatar_split_clause,[],[f3768,f2462,f1722]) ).
fof(f1722,plain,
( spl72_190
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_190])]) ).
fof(f3768,plain,
( e23 != op2(e20,e21)
| ~ spl72_300 ),
inference(backward_demodulation,[],[f774,f2464]) ).
fof(f774,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3759,plain,
( ~ spl72_4
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f3490,f1106,f872]) ).
fof(f872,plain,
( spl72_4
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_4])]) ).
fof(f3490,plain,
( e21 != op2(e22,e20)
| ~ spl72_56 ),
inference(forward_demodulation,[],[f2306,f1108]) ).
fof(f2306,plain,
op2(e22,e20) != h3(e11),
inference(forward_demodulation,[],[f758,f720]) ).
fof(f758,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3754,plain,
( spl72_207
| ~ spl72_274
| ~ spl72_296 ),
inference(avatar_split_clause,[],[f3748,f2406,f2181,f1805]) ).
fof(f3748,plain,
( e22 = h4(e10)
| ~ spl72_274
| ~ spl72_296 ),
inference(backward_demodulation,[],[f3027,f2407]) ).
fof(f3027,plain,
( h1(e11) = h4(e10)
| ~ spl72_274 ),
inference(forward_demodulation,[],[f3015,f694]) ).
fof(f3015,plain,
( op2(e20,e20) = h4(e10)
| ~ spl72_274 ),
inference(backward_demodulation,[],[f2191,f2182]) ).
fof(f3753,plain,
( ~ spl72_160
| spl72_201
| ~ spl72_240
| ~ spl72_274
| ~ spl72_296
| ~ spl72_304 ),
inference(avatar_contradiction_clause,[],[f3752]) ).
fof(f3752,plain,
( $false
| ~ spl72_160
| spl72_201
| ~ spl72_240
| ~ spl72_274
| ~ spl72_296
| ~ spl72_304 ),
inference(subsumption_resolution,[],[f3749,f2493]) ).
fof(f3749,plain,
( e22 != op2(e21,e22)
| ~ spl72_160
| spl72_201
| ~ spl72_240
| ~ spl72_274
| ~ spl72_296 ),
inference(backward_demodulation,[],[f3709,f2407]) ).
fof(f3709,plain,
( h1(e11) != op2(e21,h1(e11))
| ~ spl72_160
| spl72_201
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f3708,f3027]) ).
fof(f3708,plain,
( h4(e10) != op2(e21,h1(e11))
| ~ spl72_160
| spl72_201
| ~ spl72_240
| ~ spl72_274 ),
inference(backward_demodulation,[],[f3700,f1571]) ).
fof(f3700,plain,
( h4(op1(e13,e10)) != op2(e21,h1(e11))
| spl72_201
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f3699,f1986]) ).
fof(f3699,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h1(e11))
| spl72_201
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1783,f3027]) ).
fof(f3736,plain,
( ~ spl72_41
| ~ spl72_67
| ~ spl72_214
| spl72_255
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f3735]) ).
fof(f3735,plain,
( $false
| ~ spl72_41
| ~ spl72_67
| ~ spl72_214
| spl72_255
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f3734,f1157]) ).
fof(f3734,plain,
( e20 != op2(e20,e22)
| ~ spl72_41
| ~ spl72_214
| spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3733,f1835]) ).
fof(f3733,plain,
( op2(e20,e22) != h3(e10)
| ~ spl72_41
| ~ spl72_214
| spl72_255
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3661,f1035]) ).
fof(f3723,plain,
( ~ spl72_13
| ~ spl72_60 ),
inference(avatar_split_clause,[],[f3722,f1123,f911]) ).
fof(f1123,plain,
( spl72_60
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_60])]) ).
fof(f3722,plain,
( e10 != op1(e11,e11)
| ~ spl72_60 ),
inference(forward_demodulation,[],[f781,f1125]) ).
fof(f1125,plain,
( e10 = op1(e11,e13)
| ~ spl72_60 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f781,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3702,plain,
( ~ spl72_177
| ~ spl72_304 ),
inference(avatar_split_clause,[],[f3701,f2491,f1660]) ).
fof(f3701,plain,
( e22 != op2(e21,e23)
| ~ spl72_304 ),
inference(backward_demodulation,[],[f769,f2493]) ).
fof(f3690,plain,
( ~ spl72_193
| spl72_296 ),
inference(avatar_contradiction_clause,[],[f3689]) ).
fof(f3689,plain,
( $false
| ~ spl72_193
| spl72_296 ),
inference(subsumption_resolution,[],[f3688,f2408]) ).
fof(f2408,plain,
( e22 != h1(e11)
| spl72_296 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f3688,plain,
( e22 = h1(e11)
| ~ spl72_193 ),
inference(forward_demodulation,[],[f694,f1738]) ).
fof(f3685,plain,
( ~ spl72_82
| ~ spl72_170 ),
inference(avatar_contradiction_clause,[],[f3684]) ).
fof(f3684,plain,
( $false
| ~ spl72_82
| ~ spl72_170 ),
inference(subsumption_resolution,[],[f3511,f1224]) ).
fof(f3511,plain,
( e23 != op2(e21,e22)
| ~ spl72_170 ),
inference(forward_demodulation,[],[f768,f1619]) ).
fof(f3681,plain,
( ~ spl72_61
| ~ spl72_220 ),
inference(avatar_contradiction_clause,[],[f3680]) ).
fof(f3680,plain,
( $false
| ~ spl72_61
| ~ spl72_220 ),
inference(subsumption_resolution,[],[f3679,f1878]) ).
fof(f3679,plain,
( e13 != op1(e11,e12)
| ~ spl72_61 ),
inference(forward_demodulation,[],[f780,f1129]) ).
fof(f780,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3656,plain,
( ~ spl72_216
| ~ spl72_220 ),
inference(avatar_contradiction_clause,[],[f3655]) ).
fof(f3655,plain,
( $false
| ~ spl72_216
| ~ spl72_220 ),
inference(subsumption_resolution,[],[f3654,f1847]) ).
fof(f3654,plain,
( e13 != op1(e10,e12)
| ~ spl72_220 ),
inference(forward_demodulation,[],[f825,f1878]) ).
fof(f3653,plain,
( ~ spl72_80
| spl72_196
| ~ spl72_240
| ~ spl72_274
| ~ spl72_307 ),
inference(avatar_contradiction_clause,[],[f3652]) ).
fof(f3652,plain,
( $false
| ~ spl72_80
| spl72_196
| ~ spl72_240
| ~ spl72_274
| ~ spl72_307 ),
inference(subsumption_resolution,[],[f3651,f383]) ).
fof(f3651,plain,
( e23 != h4(e12)
| ~ spl72_80
| spl72_196
| ~ spl72_240
| ~ spl72_274
| ~ spl72_307 ),
inference(backward_demodulation,[],[f3551,f2521]) ).
fof(f3551,plain,
( e23 != h4(op1(e13,e11))
| ~ spl72_80
| spl72_196
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f3550,f1216]) ).
fof(f3550,plain,
( op2(e21,e20) != h4(op1(e13,e11))
| spl72_196
| ~ spl72_240
| ~ spl72_274 ),
inference(forward_demodulation,[],[f3112,f1986]) ).
fof(f3112,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e20)
| spl72_196
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1763,f2182]) ).
fof(f3635,plain,
( ~ spl72_170
| spl72_218
| ~ spl72_239 ),
inference(avatar_contradiction_clause,[],[f3634]) ).
fof(f3634,plain,
( $false
| ~ spl72_170
| spl72_218
| ~ spl72_239 ),
inference(subsumption_resolution,[],[f3633,f1867]) ).
fof(f3633,plain,
( e22 = e23
| ~ spl72_170
| ~ spl72_239 ),
inference(forward_demodulation,[],[f1982,f1619]) ).
fof(f1982,plain,
( e22 = op2(e23,e22)
| ~ spl72_239 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f3632,plain,
( ~ spl72_56
| ~ spl72_130
| spl72_158
| ~ spl72_214 ),
inference(avatar_contradiction_clause,[],[f3631]) ).
fof(f3631,plain,
( $false
| ~ spl72_56
| ~ spl72_130
| spl72_158
| ~ spl72_214 ),
inference(subsumption_resolution,[],[f3630,f1562]) ).
fof(f3630,plain,
( e20 = e23
| ~ spl72_56
| ~ spl72_130
| ~ spl72_214 ),
inference(forward_demodulation,[],[f3399,f1433]) ).
fof(f1433,plain,
( e23 = h2(e11)
| ~ spl72_130 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1432,plain,
( spl72_130
<=> e23 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_130])]) ).
fof(f3625,plain,
( ~ spl72_299
| ~ spl72_237 ),
inference(avatar_split_clause,[],[f3473,f1967,f2440]) ).
fof(f2440,plain,
( spl72_299
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_299])]) ).
fof(f3473,plain,
( e11 != op1(e13,e11)
| ~ spl72_237 ),
inference(forward_demodulation,[],[f798,f1969]) ).
fof(f3619,plain,
( ~ spl72_13
| ~ spl72_234 ),
inference(avatar_contradiction_clause,[],[f3618]) ).
fof(f3618,plain,
( $false
| ~ spl72_13
| ~ spl72_234 ),
inference(subsumption_resolution,[],[f3617,f723]) ).
fof(f3617,plain,
( e10 = e12
| ~ spl72_13
| ~ spl72_234 ),
inference(forward_demodulation,[],[f912,f1952]) ).
fof(f1952,plain,
( e12 = op1(e11,e11)
| ~ spl72_234 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1951,plain,
( spl72_234
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_234])]) ).
fof(f3616,plain,
( ~ spl72_179
| ~ spl72_28 ),
inference(avatar_split_clause,[],[f3615,f976,f1673]) ).
fof(f3615,plain,
( e21 != op2(e20,e21)
| ~ spl72_28 ),
inference(forward_demodulation,[],[f773,f978]) ).
fof(f773,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3611,plain,
( ~ spl72_235
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f3344,f1020,f1955]) ).
fof(f1955,plain,
( spl72_235
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_235])]) ).
fof(f3344,plain,
( e11 != op1(e11,e12)
| ~ spl72_38 ),
inference(forward_demodulation,[],[f789,f1022]) ).
fof(f789,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3596,plain,
( ~ spl72_51
| ~ spl72_97 ),
inference(avatar_contradiction_clause,[],[f3595]) ).
fof(f3595,plain,
( $false
| ~ spl72_51
| ~ spl72_97 ),
inference(subsumption_resolution,[],[f3594,f723]) ).
fof(f3594,plain,
( e10 = e12
| ~ spl72_51
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1294,f1081]) ).
fof(f1081,plain,
( e12 = op1(e13,e12)
| ~ spl72_51 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f3578,plain,
( ~ spl72_180
| ~ spl72_227 ),
inference(avatar_contradiction_clause,[],[f3577]) ).
fof(f3577,plain,
( $false
| ~ spl72_180
| ~ spl72_227 ),
inference(subsumption_resolution,[],[f3576,f204]) ).
fof(f3576,plain,
( e21 = e23
| ~ spl72_180
| ~ spl72_227 ),
inference(forward_demodulation,[],[f1911,f1679]) ).
fof(f3574,plain,
( ~ spl72_298
| ~ spl72_21 ),
inference(avatar_split_clause,[],[f3572,f946,f2435]) ).
fof(f946,plain,
( spl72_21
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_21])]) ).
fof(f3572,plain,
( e20 != h2(e11)
| ~ spl72_21 ),
inference(backward_demodulation,[],[f2393,f948]) ).
fof(f948,plain,
( e20 = op2(e22,e21)
| ~ spl72_21 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f2393,plain,
op2(e22,e21) != h2(e11),
inference(backward_demodulation,[],[f751,f387]) ).
fof(f751,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3560,plain,
( ~ spl72_80
| ~ spl72_253 ),
inference(avatar_contradiction_clause,[],[f3559]) ).
fof(f3559,plain,
( $false
| ~ spl72_80
| ~ spl72_253 ),
inference(subsumption_resolution,[],[f3558,f204]) ).
fof(f3558,plain,
( e21 = e23
| ~ spl72_80
| ~ spl72_253 ),
inference(forward_demodulation,[],[f2068,f1216]) ).
fof(f3552,plain,
( spl72_300
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f3385,f1106,f2462]) ).
fof(f3385,plain,
( e23 = op2(e22,e21)
| ~ spl72_56 ),
inference(backward_demodulation,[],[f1874,f1108]) ).
fof(f3540,plain,
( ~ spl72_22
| ~ spl72_38
| ~ spl72_56
| ~ spl72_267
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f3539]) ).
fof(f3539,plain,
( $false
| ~ spl72_22
| ~ spl72_38
| ~ spl72_56
| ~ spl72_267
| ~ spl72_290 ),
inference(subsumption_resolution,[],[f3538,f202]) ).
fof(f3538,plain,
( e20 = e21
| ~ spl72_22
| ~ spl72_38
| ~ spl72_56
| ~ spl72_267
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3537,f952]) ).
fof(f952,plain,
( e20 = op2(e22,e22)
| ~ spl72_22 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl72_22
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_22])]) ).
fof(f3519,plain,
( ~ spl72_6
| ~ spl72_56 ),
inference(avatar_contradiction_clause,[],[f3518]) ).
fof(f3518,plain,
( $false
| ~ spl72_6
| ~ spl72_56 ),
inference(subsumption_resolution,[],[f3517,f882]) ).
fof(f882,plain,
( e21 = op2(e22,e21)
| ~ spl72_6 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl72_6
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).
fof(f3517,plain,
( e21 != op2(e22,e21)
| ~ spl72_56 ),
inference(forward_demodulation,[],[f1296,f1108]) ).
fof(f1296,plain,
op2(e22,e21) != h3(e11),
inference(forward_demodulation,[],[f741,f720]) ).
fof(f741,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3504,plain,
( spl72_230
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f3255,f1020,f1923]) ).
fof(f3255,plain,
( e13 = op1(e12,e11)
| ~ spl72_38 ),
inference(forward_demodulation,[],[f699,f1022]) ).
fof(f699,plain,
e13 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,op1(e12,e12))
& e11 = op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f3497,plain,
( ~ spl72_85
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f3496,f1106,f1236]) ).
fof(f1236,plain,
( spl72_85
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_85])]) ).
fof(f3496,plain,
( e21 != op2(e20,e22)
| ~ spl72_56 ),
inference(forward_demodulation,[],[f1060,f1108]) ).
fof(f1060,plain,
op2(e20,e22) != h3(e11),
inference(backward_demodulation,[],[f770,f720]) ).
fof(f770,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3456,plain,
( ~ spl72_1
| ~ spl72_56 ),
inference(avatar_contradiction_clause,[],[f3455]) ).
fof(f3455,plain,
( $false
| ~ spl72_1
| ~ spl72_56 ),
inference(subsumption_resolution,[],[f3454,f860]) ).
fof(f860,plain,
( e21 = op2(e21,e22)
| ~ spl72_1 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl72_1
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).
fof(f3454,plain,
( e21 != op2(e21,e22)
| ~ spl72_56 ),
inference(forward_demodulation,[],[f2726,f1108]) ).
fof(f2726,plain,
op2(e21,e22) != h3(e11),
inference(forward_demodulation,[],[f746,f720]) ).
fof(f746,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3429,plain,
( spl72_240
| ~ spl72_168
| ~ spl72_274 ),
inference(avatar_split_clause,[],[f3428,f2181,f1608,f1985]) ).
fof(f3428,plain,
( e21 = h4(e13)
| ~ spl72_168
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1610,f3016]) ).
fof(f3016,plain,
( op2(e23,e20) = h4(e13)
| ~ spl72_274 ),
inference(backward_demodulation,[],[f2192,f2182]) ).
fof(f3427,plain,
( ~ spl72_252
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f3426,f1020,f2060]) ).
fof(f2060,plain,
( spl72_252
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_252])]) ).
fof(f3426,plain,
( e11 != op1(e13,e12)
| ~ spl72_38 ),
inference(forward_demodulation,[],[f808,f1022]) ).
fof(f808,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3412,plain,
( ~ spl72_164
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f3411]) ).
fof(f3411,plain,
( $false
| ~ spl72_164
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f3410,f725]) ).
fof(f3410,plain,
( e10 = e11
| ~ spl72_164
| ~ spl72_237 ),
inference(forward_demodulation,[],[f1590,f1969]) ).
fof(f3409,plain,
( ~ spl72_38
| spl72_267
| ~ spl72_290 ),
inference(avatar_contradiction_clause,[],[f3408]) ).
fof(f3408,plain,
( $false
| ~ spl72_38
| spl72_267
| ~ spl72_290 ),
inference(trivial_inequality_removal,[],[f3407]) ).
fof(f3407,plain,
( h3(e11) != h3(e11)
| ~ spl72_38
| spl72_267
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3157,f1022]) ).
fof(f3157,plain,
( h3(e11) != h3(op1(e12,e12))
| spl72_267
| ~ spl72_290 ),
inference(forward_demodulation,[],[f3156,f720]) ).
fof(f3156,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| spl72_267
| ~ spl72_290 ),
inference(forward_demodulation,[],[f2136,f2358]) ).
fof(f2136,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl72_267 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f3406,plain,
( spl72_13
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f3182,f1020,f911]) ).
fof(f3182,plain,
( e10 = op1(e11,e11)
| ~ spl72_38 ),
inference(backward_demodulation,[],[f700,f1022]) ).
fof(f700,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f3391,plain,
( spl72_7
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f3384,f1106,f884]) ).
fof(f3384,plain,
( e21 = op2(e22,e22)
| ~ spl72_56 ),
inference(backward_demodulation,[],[f720,f1108]) ).
fof(f3387,plain,
( ~ spl72_84
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f3382,f1106,f1232]) ).
fof(f1232,plain,
( spl72_84
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_84])]) ).
fof(f3382,plain,
( e21 != op2(e23,e22)
| ~ spl72_56 ),
inference(backward_demodulation,[],[f2387,f1108]) ).
fof(f2387,plain,
op2(e23,e22) != h3(e11),
inference(forward_demodulation,[],[f757,f720]) ).
fof(f757,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3379,plain,
( ~ spl72_230
| ~ spl72_272 ),
inference(avatar_split_clause,[],[f3377,f2155,f1923]) ).
fof(f2155,plain,
( spl72_272
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_272])]) ).
fof(f3377,plain,
( e13 != op1(e12,e11)
| ~ spl72_272 ),
inference(backward_demodulation,[],[f796,f2157]) ).
fof(f2157,plain,
( e13 = op1(e13,e11)
| ~ spl72_272 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f796,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3376,plain,
( ~ spl72_68
| ~ spl72_274 ),
inference(avatar_split_clause,[],[f3294,f2181,f1159]) ).
fof(f3294,plain,
( e20 != op2(e23,e22)
| ~ spl72_274 ),
inference(forward_demodulation,[],[f2193,f2182]) ).
fof(f3353,plain,
( ~ spl72_299
| ~ spl72_91 ),
inference(avatar_split_clause,[],[f3352,f1265,f2440]) ).
fof(f3352,plain,
( e11 != op1(e13,e11)
| ~ spl72_91 ),
inference(forward_demodulation,[],[f802,f1267]) ).
fof(f3350,plain,
( ~ spl72_81
| spl72_130 ),
inference(avatar_contradiction_clause,[],[f3349]) ).
fof(f3349,plain,
( $false
| ~ spl72_81
| spl72_130 ),
inference(subsumption_resolution,[],[f3348,f1434]) ).
fof(f1434,plain,
( e23 != h2(e11)
| spl72_130 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f3348,plain,
( e23 = h2(e11)
| ~ spl72_81 ),
inference(forward_demodulation,[],[f1220,f387]) ).
fof(f1220,plain,
( e23 = op2(e21,e21)
| ~ spl72_81 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1218,plain,
( spl72_81
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_81])]) ).
fof(f3317,plain,
( ~ spl72_38
| ~ spl72_71 ),
inference(avatar_contradiction_clause,[],[f3316]) ).
fof(f3316,plain,
( $false
| ~ spl72_38
| ~ spl72_71 ),
inference(subsumption_resolution,[],[f3315,f725]) ).
fof(f3315,plain,
( e10 = e11
| ~ spl72_38
| ~ spl72_71 ),
inference(forward_demodulation,[],[f1174,f1022]) ).
fof(f1174,plain,
( e10 = op1(e12,e12)
| ~ spl72_71 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1172,plain,
( spl72_71
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_71])]) ).
fof(f3304,plain,
( ~ spl72_56
| ~ spl72_59 ),
inference(avatar_contradiction_clause,[],[f3303]) ).
fof(f3303,plain,
( $false
| ~ spl72_56
| ~ spl72_59 ),
inference(subsumption_resolution,[],[f3302,f204]) ).
fof(f3302,plain,
( e21 = e23
| ~ spl72_56
| ~ spl72_59 ),
inference(forward_demodulation,[],[f1108,f1120]) ).
fof(f1120,plain,
( e23 = h3(e11)
| ~ spl72_59 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1118,plain,
( spl72_59
<=> e23 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_59])]) ).
fof(f3291,plain,
( ~ spl72_40
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f3290,f1020,f1028]) ).
fof(f1028,plain,
( spl72_40
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_40])]) ).
fof(f3290,plain,
( e11 != op1(e12,e13)
| ~ spl72_38 ),
inference(forward_demodulation,[],[f820,f1022]) ).
fof(f820,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3263,plain,
( ~ spl72_67
| ~ spl72_226 ),
inference(avatar_contradiction_clause,[],[f3262]) ).
fof(f3262,plain,
( $false
| ~ spl72_67
| ~ spl72_226 ),
inference(subsumption_resolution,[],[f3261,f200]) ).
fof(f3261,plain,
( e20 = e22
| ~ spl72_67
| ~ spl72_226 ),
inference(forward_demodulation,[],[f1906,f1157]) ).
fof(f3258,plain,
( ~ spl72_38
| ~ spl72_66 ),
inference(avatar_contradiction_clause,[],[f3257]) ).
fof(f3257,plain,
( $false
| ~ spl72_38
| ~ spl72_66 ),
inference(subsumption_resolution,[],[f3256,f722]) ).
fof(f722,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3256,plain,
( e12 = e13
| ~ spl72_38
| ~ spl72_66 ),
inference(forward_demodulation,[],[f3255,f1151]) ).
fof(f1151,plain,
( e12 = op1(e12,e11)
| ~ spl72_66 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1149,plain,
( spl72_66
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_66])]) ).
fof(f3235,plain,
( ~ spl72_127
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f3234]) ).
fof(f3234,plain,
( $false
| ~ spl72_127
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f3233,f721]) ).
fof(f3233,plain,
( e11 = e13
| ~ spl72_127
| ~ spl72_237 ),
inference(forward_demodulation,[],[f1421,f1969]) ).
fof(f3223,plain,
( ~ spl72_53
| spl72_217 ),
inference(avatar_contradiction_clause,[],[f3222]) ).
fof(f3222,plain,
( $false
| ~ spl72_53
| spl72_217 ),
inference(subsumption_resolution,[],[f3221,f1853]) ).
fof(f1853,plain,
( e20 != h1(e11)
| spl72_217 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f3221,plain,
( e20 = h1(e11)
| ~ spl72_53 ),
inference(forward_demodulation,[],[f1089,f694]) ).
fof(f1089,plain,
( e20 = op2(e20,e20)
| ~ spl72_53 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1088,plain,
( spl72_53
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_53])]) ).
fof(f3185,plain,
( ~ spl72_38
| ~ spl72_222 ),
inference(avatar_contradiction_clause,[],[f3184]) ).
fof(f3184,plain,
( $false
| ~ spl72_38
| ~ spl72_222 ),
inference(subsumption_resolution,[],[f3183,f726]) ).
fof(f3183,plain,
( e10 = e13
| ~ spl72_38
| ~ spl72_222 ),
inference(forward_demodulation,[],[f3182,f1886]) ).
fof(f1886,plain,
( e13 = op1(e11,e11)
| ~ spl72_222 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f1884,plain,
( spl72_222
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_222])]) ).
fof(f3178,plain,
( ~ spl72_76
| ~ spl72_215 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3177,plain,
( $false
| ~ spl72_76
| ~ spl72_215 ),
inference(subsumption_resolution,[],[f3176,f726]) ).
fof(f3176,plain,
( e10 = e13
| ~ spl72_76
| ~ spl72_215 ),
inference(forward_demodulation,[],[f1843,f1198]) ).
fof(f3148,plain,
( ~ spl72_44
| ~ spl72_74 ),
inference(avatar_split_clause,[],[f3147,f1187,f1047]) ).
fof(f3147,plain,
( e10 != op1(e10,e10)
| ~ spl72_74 ),
inference(forward_demodulation,[],[f815,f1189]) ).
fof(f815,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3127,plain,
( ~ spl72_121
| ~ spl72_177 ),
inference(avatar_contradiction_clause,[],[f3126]) ).
fof(f3126,plain,
( $false
| ~ spl72_121
| ~ spl72_177 ),
inference(subsumption_resolution,[],[f3125,f201]) ).
fof(f3125,plain,
( e21 = e22
| ~ spl72_121
| ~ spl72_177 ),
inference(forward_demodulation,[],[f1392,f1662]) ).
fof(f1662,plain,
( e22 = op2(e21,e23)
| ~ spl72_177 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f3124,plain,
( ~ spl72_61
| ~ spl72_63 ),
inference(avatar_contradiction_clause,[],[f3123]) ).
fof(f3123,plain,
( $false
| ~ spl72_61
| ~ spl72_63 ),
inference(subsumption_resolution,[],[f3122,f722]) ).
fof(f3122,plain,
( e12 = e13
| ~ spl72_61
| ~ spl72_63 ),
inference(forward_demodulation,[],[f1129,f1137]) ).
fof(f1137,plain,
( e12 = op1(e11,e13)
| ~ spl72_63 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f3121,plain,
( ~ spl72_13
| spl72_151 ),
inference(avatar_contradiction_clause,[],[f3120]) ).
fof(f3120,plain,
( $false
| ~ spl72_13
| spl72_151 ),
inference(trivial_inequality_removal,[],[f3119]) ).
fof(f3119,plain,
( h2(e10) != h2(e10)
| ~ spl72_13
| spl72_151 ),
inference(forward_demodulation,[],[f3118,f912]) ).
fof(f3118,plain,
( h2(e10) != h2(op1(e11,e11))
| spl72_151 ),
inference(forward_demodulation,[],[f1526,f2832]) ).
fof(f1526,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl72_151 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1524,plain,
( spl72_151
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_151])]) ).
fof(f3109,plain,
( ~ spl72_19
| ~ spl72_38 ),
inference(avatar_contradiction_clause,[],[f3108]) ).
fof(f3108,plain,
( $false
| ~ spl72_19
| ~ spl72_38 ),
inference(subsumption_resolution,[],[f3107,f721]) ).
fof(f3107,plain,
( e11 = e13
| ~ spl72_19
| ~ spl72_38 ),
inference(forward_demodulation,[],[f1022,f938]) ).
fof(f938,plain,
( e13 = op1(e12,e12)
| ~ spl72_19 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f937,plain,
( spl72_19
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_19])]) ).
fof(f3106,plain,
( ~ spl72_77
| ~ spl72_161 ),
inference(avatar_contradiction_clause,[],[f3105]) ).
fof(f3105,plain,
( $false
| ~ spl72_77
| ~ spl72_161 ),
inference(subsumption_resolution,[],[f3104,f722]) ).
fof(f3104,plain,
( e12 = e13
| ~ spl72_77
| ~ spl72_161 ),
inference(forward_demodulation,[],[f1575,f1201]) ).
fof(f3097,plain,
( ~ spl72_51
| ~ spl72_89 ),
inference(avatar_contradiction_clause,[],[f3096]) ).
fof(f3096,plain,
( $false
| ~ spl72_51
| ~ spl72_89 ),
inference(subsumption_resolution,[],[f3095,f722]) ).
fof(f3095,plain,
( e12 = e13
| ~ spl72_51
| ~ spl72_89 ),
inference(forward_demodulation,[],[f1258,f1081]) ).
fof(f3090,plain,
( ~ spl72_23
| ~ spl72_86 ),
inference(avatar_contradiction_clause,[],[f3089]) ).
fof(f3089,plain,
( $false
| ~ spl72_23
| ~ spl72_86 ),
inference(subsumption_resolution,[],[f3088,f200]) ).
fof(f3088,plain,
( e20 = e22
| ~ spl72_23
| ~ spl72_86 ),
inference(forward_demodulation,[],[f956,f1244]) ).
fof(f3083,plain,
( ~ spl72_96
| ~ spl72_13 ),
inference(avatar_split_clause,[],[f3081,f911,f1288]) ).
fof(f1288,plain,
( spl72_96
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_96])]) ).
fof(f3081,plain,
( e10 != op1(e11,e12)
| ~ spl72_13 ),
inference(backward_demodulation,[],[f786,f912]) ).
fof(f786,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3082,plain,
( ~ spl72_31
| ~ spl72_13 ),
inference(avatar_split_clause,[],[f3080,f911,f989]) ).
fof(f989,plain,
( spl72_31
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_31])]) ).
fof(f3080,plain,
( e10 != op1(e12,e11)
| ~ spl72_13 ),
inference(backward_demodulation,[],[f819,f912]) ).
fof(f819,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3062,plain,
( ~ spl72_310
| ~ spl72_80 ),
inference(avatar_split_clause,[],[f3059,f1214,f2569]) ).
fof(f3059,plain,
( e23 != h1(e11)
| ~ spl72_80 ),
inference(backward_demodulation,[],[f2788,f1216]) ).
fof(f3051,plain,
( ~ spl72_24
| ~ spl72_43 ),
inference(avatar_split_clause,[],[f3049,f1042,f958]) ).
fof(f3049,plain,
( e20 != op2(e22,e23)
| ~ spl72_43 ),
inference(backward_demodulation,[],[f762,f1044]) ).
fof(f3047,plain,
( spl72_283
| ~ spl72_47 ),
inference(avatar_split_clause,[],[f3046,f1062,f2268]) ).
fof(f3046,plain,
( e21 = h1(e11)
| ~ spl72_47 ),
inference(forward_demodulation,[],[f1063,f694]) ).
fof(f3034,plain,
( ~ spl72_157
| ~ spl72_91 ),
inference(avatar_split_clause,[],[f3031,f1265,f1552]) ).
fof(f1552,plain,
( spl72_157
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_157])]) ).
fof(f3031,plain,
( e11 != op1(e11,e11)
| ~ spl72_91 ),
inference(backward_demodulation,[],[f788,f1267]) ).
fof(f3013,plain,
( ~ spl72_288
| ~ spl72_36 ),
inference(avatar_split_clause,[],[f3007,f1011,f2335]) ).
fof(f2335,plain,
( spl72_288
<=> e22 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_288])]) ).
fof(f3007,plain,
( e22 != h2(e11)
| ~ spl72_36 ),
inference(backward_demodulation,[],[f2397,f1013]) ).
fof(f3012,plain,
( ~ spl72_225
| ~ spl72_36 ),
inference(avatar_split_clause,[],[f3008,f1011,f1900]) ).
fof(f3008,plain,
( e22 != op2(e20,e23)
| ~ spl72_36 ),
inference(backward_demodulation,[],[f728,f1013]) ).
fof(f3011,plain,
( ~ spl72_35
| ~ spl72_36 ),
inference(avatar_split_clause,[],[f3009,f1011,f1007]) ).
fof(f1007,plain,
( spl72_35
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_35])]) ).
fof(f3009,plain,
( e22 != op2(e22,e21)
| ~ spl72_36 ),
inference(backward_demodulation,[],[f774,f1013]) ).
fof(f3010,plain,
( ~ spl72_296
| ~ spl72_36 ),
inference(avatar_split_clause,[],[f3006,f1011,f2406]) ).
fof(f3006,plain,
( e22 != h1(e11)
| ~ spl72_36 ),
inference(backward_demodulation,[],[f2787,f1013]) ).
fof(f3005,plain,
( ~ spl72_83
| ~ spl72_177
| spl72_218 ),
inference(avatar_contradiction_clause,[],[f3004]) ).
fof(f3004,plain,
( $false
| ~ spl72_83
| ~ spl72_177
| spl72_218 ),
inference(subsumption_resolution,[],[f3003,f1867]) ).
fof(f3003,plain,
( e22 = e23
| ~ spl72_83
| ~ spl72_177 ),
inference(forward_demodulation,[],[f1228,f1662]) ).
fof(f2953,plain,
( spl72_310
| ~ spl72_185 ),
inference(avatar_split_clause,[],[f2952,f1699,f2569]) ).
fof(f2952,plain,
( e23 = h1(e11)
| ~ spl72_185 ),
inference(forward_demodulation,[],[f1700,f694]) ).
fof(f2947,plain,
( ~ spl72_58
| spl72_158
| ~ spl72_214 ),
inference(avatar_contradiction_clause,[],[f2946]) ).
fof(f2946,plain,
( $false
| ~ spl72_58
| spl72_158
| ~ spl72_214 ),
inference(subsumption_resolution,[],[f2945,f1562]) ).
fof(f2945,plain,
( e20 = e23
| ~ spl72_58
| ~ spl72_214 ),
inference(forward_demodulation,[],[f2940,f2935]) ).
fof(f2935,plain,
( e23 = op2(e22,e22)
| ~ spl72_58 ),
inference(backward_demodulation,[],[f1874,f1116]) ).
fof(f1116,plain,
( e22 = h3(e11)
| ~ spl72_58 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1114,plain,
( spl72_58
<=> e22 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_58])]) ).
fof(f2940,plain,
( e20 = op2(e22,e22)
| ~ spl72_58
| ~ spl72_214 ),
inference(backward_demodulation,[],[f2897,f1116]) ).
fof(f2932,plain,
( ~ spl72_33
| ~ spl72_63 ),
inference(avatar_split_clause,[],[f2927,f1135,f998]) ).
fof(f2927,plain,
( e12 != op1(e13,e13)
| ~ spl72_63 ),
inference(backward_demodulation,[],[f795,f1137]) ).
fof(f2930,plain,
( ~ spl72_273
| ~ spl72_63 ),
inference(avatar_split_clause,[],[f2926,f1135,f2164]) ).
fof(f2926,plain,
( e12 != op1(e11,e10)
| ~ spl72_63 ),
inference(backward_demodulation,[],[f791,f1137]) ).
fof(f2929,plain,
( ~ spl72_229
| ~ spl72_63 ),
inference(avatar_split_clause,[],[f2925,f1135,f1918]) ).
fof(f2925,plain,
( e12 != op1(e11,e12)
| ~ spl72_63 ),
inference(backward_demodulation,[],[f780,f1137]) ).
fof(f2924,plain,
( ~ spl72_298
| spl72_126 ),
inference(avatar_split_clause,[],[f2923,f1414,f2435]) ).
fof(f2923,plain,
( e20 != h2(e11)
| spl72_126 ),
inference(forward_demodulation,[],[f1415,f387]) ).
fof(f1415,plain,
( e20 != op2(e21,e21)
| spl72_126 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f2922,plain,
( ~ spl72_68
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f2912,f1155,f1159]) ).
fof(f2912,plain,
( e20 != op2(e23,e22)
| ~ spl72_67 ),
inference(backward_demodulation,[],[f738,f1157]) ).
fof(f2920,plain,
( ~ spl72_69
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f2915,f1155,f1163]) ).
fof(f2915,plain,
( e20 != op2(e21,e22)
| ~ spl72_67 ),
inference(backward_demodulation,[],[f771,f1157]) ).
fof(f2892,plain,
( ~ spl72_97
| ~ spl72_41 ),
inference(avatar_split_clause,[],[f2888,f1033,f1292]) ).
fof(f2888,plain,
( e10 != op1(e13,e12)
| ~ spl72_41 ),
inference(backward_demodulation,[],[f783,f1035]) ).
fof(f783,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2874,plain,
( ~ spl72_35
| ~ spl72_34 ),
inference(avatar_split_clause,[],[f2867,f1003,f1007]) ).
fof(f2867,plain,
( e22 != op2(e22,e21)
| ~ spl72_34 ),
inference(backward_demodulation,[],[f754,f1005]) ).
fof(f2873,plain,
( ~ spl72_239
| ~ spl72_34 ),
inference(avatar_split_clause,[],[f2868,f1003,f1980]) ).
fof(f2868,plain,
( e22 != op2(e23,e22)
| ~ spl72_34 ),
inference(backward_demodulation,[],[f748,f1005]) ).
fof(f748,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2870,plain,
( ~ spl72_284
| ~ spl72_34 ),
inference(avatar_split_clause,[],[f2864,f1003,f2275]) ).
fof(f2864,plain,
( e22 != h4(e11)
| ~ spl72_34 ),
inference(backward_demodulation,[],[f2637,f1005]) ).
fof(f2869,plain,
( ~ spl72_288
| ~ spl72_34 ),
inference(avatar_split_clause,[],[f2866,f1003,f2335]) ).
fof(f2866,plain,
( e22 != h2(e11)
| ~ spl72_34 ),
inference(backward_demodulation,[],[f2395,f1005]) ).
fof(f2859,plain,
( ~ spl72_44
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f2856,f1196,f1047]) ).
fof(f2856,plain,
( e10 != op1(e10,e10)
| ~ spl72_76 ),
inference(backward_demodulation,[],[f812,f1198]) ).
fof(f2849,plain,
( spl72_226
| spl72_304
| spl72_58
| spl72_239 ),
inference(avatar_split_clause,[],[f2848,f1980,f1114,f2491,f1904]) ).
fof(f2848,plain,
( e22 = op2(e23,e22)
| e22 = h3(e11)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[],[f658,f720]) ).
fof(f658,plain,
( e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23
| e23 = op2(e20,e23) )
& ( e21 = op2(e21,e21)
| e21 = op2(e21,e23)
| e21 = op2(e21,e20)
| e21 = op2(e21,e22) )
& ( e21 = op2(e20,e22)
| e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22) )
& ( e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22) )
& ( e23 = op2(e23,e22)
| e23 = op2(e23,e23)
| e23 = op2(e23,e20)
| e23 = op2(e23,e21) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e20)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e21
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21) )
& ( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) )
& ( e23 = op2(e20,e21)
| e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21) )
& ( e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| op2(e20,e20) = e21
| e21 = op2(e21,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e23,e23) )
& ( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e20)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21) )
& ( e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20)
| e23 = op2(e21,e23) )
& ( e20 = op2(e22,e22)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e21 = op2(e23,e20)
| e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22) )
& ( e21 = op2(e22,e21)
| e21 = op2(e23,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e22 = op2(e22,e20)
| op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e23,e20) )
& ( e22 = op2(e22,e20)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21) )
& ( e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e20) )
& ( e23 = op2(e22,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20)
| e23 = op2(e21,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) )
& ( e23 = op2(e23,e22)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22) )
& ( e21 = op2(e20,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e23,e23) )
& ( e22 = op2(e21,e23)
| e22 = op2(e20,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e22 = op2(e23,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| e22 = op2(e21,e21) )
& ( e22 = op2(e20,e21)
| e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e22) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21)
| e20 = op2(e21,e21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2844,plain,
~ spl72_204,
inference(avatar_split_clause,[],[f2843,f1793]) ).
fof(f1793,plain,
( spl72_204
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_204])]) ).
fof(f2843,plain,
~ sP63,
inference(subsumption_resolution,[],[f599,f383]) ).
fof(f599,plain,
( ~ sP63
| e23 != h4(e12) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e23 != h4(e10)
& e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11) )
| ~ sP63 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e23 != h4(e10)
& e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f2841,plain,
( ~ spl72_72
| spl72_130 ),
inference(avatar_split_clause,[],[f2840,f1432,f1178]) ).
fof(f1178,plain,
( spl72_72
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_72])]) ).
fof(f2840,plain,
( e23 = h2(e11)
| ~ sP20 ),
inference(forward_demodulation,[],[f252,f387]) ).
fof(f252,plain,
( e23 = op2(e21,e21)
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& e23 = op2(e21,e21)
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& e23 = op2(e21,e21)
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) ) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f2839,plain,
( ~ spl72_197
| ~ spl72_275 ),
inference(avatar_split_clause,[],[f596,f2200,f1765]) ).
fof(f1765,plain,
( spl72_197
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_197])]) ).
fof(f596,plain,
( e21 != h4(e11)
| ~ sP64 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| ~ sP64 ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f2818,plain,
( spl72_43
| spl72_225
| spl72_180
| spl72_227 ),
inference(avatar_split_clause,[],[f196,f1909,f1677,f1900,f1042]) ).
fof(f196,plain,
( e23 = op2(e20,e23)
| e21 = op2(e20,e23)
| e22 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e20 = op2(e20,e21)
| e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e22 = op2(e23,e20)
| e20 = op2(e23,e20)
| e23 = op2(e23,e20)
| e21 = op2(e23,e20) )
& ( e22 = op2(e23,e21)
| e23 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e21 = op2(e20,e23)
| e22 = op2(e20,e23)
| e20 = op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e21 = op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e21 = op2(e20,e22)
| e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( op2(e20,e20) = e21
| e20 = op2(e20,e20)
| op2(e20,e20) = e23
| op2(e20,e20) = e22 )
& ( e22 = op2(e22,e23)
| e20 = op2(e22,e23)
| e23 = op2(e22,e23)
| e21 = op2(e22,e23) )
& ( e20 = op2(e22,e20)
| e23 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20) )
& ( e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20) )
& ( e22 = op2(e22,e22)
| e23 = op2(e22,e22)
| e20 = op2(e22,e22)
| e21 = op2(e22,e22) )
& ( e23 = op2(e21,e21)
| e20 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e23 = op2(e23,e22) )
& ( e21 = op2(e22,e21)
| e20 = op2(e22,e21)
| e22 = op2(e22,e21)
| e23 = op2(e22,e21) )
& ( e20 = op2(e21,e22)
| e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22) )
& ( e22 = op2(e21,e23)
| e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e23 = op2(e21,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f2809,plain,
( ~ spl72_56
| ~ spl72_165
| spl72_35 ),
inference(avatar_split_clause,[],[f2808,f1007,f1595,f1106]) ).
fof(f1595,plain,
( spl72_165
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_165])]) ).
fof(f2808,plain,
( e22 = op2(e22,e21)
| ~ sP17
| e21 != h3(e11) ),
inference(forward_demodulation,[],[f266,f720]) ).
fof(f266,plain,
( e22 = op2(e22,e21)
| e21 != op2(e22,e22)
| ~ sP17 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 = op2(e20,e21) )
& e21 = op2(e22,e22)
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 = op2(e20,e21) )
& e21 = op2(e22,e22)
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f2806,plain,
( spl72_163
| ~ spl72_241 ),
inference(avatar_split_clause,[],[f502,f1991,f1585]) ).
fof(f1991,plain,
( spl72_241
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_241])]) ).
fof(f502,plain,
( ~ sP38
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ) )
| ~ sP38 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f2804,plain,
( spl72_54
| spl72_34
| spl72_28
| spl72_162 ),
inference(avatar_split_clause,[],[f197,f1579,f976,f1003,f1093]) ).
fof(f197,plain,
( e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2801,plain,
( spl72_66
| ~ spl72_38
| ~ spl72_250 ),
inference(avatar_split_clause,[],[f437,f2041,f1020,f1149]) ).
fof(f2041,plain,
( spl72_250
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_250])]) ).
fof(f437,plain,
( ~ sP50
| e11 != op1(e12,e12)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e11 = op1(e13,e13)
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) ) )
| ~ sP50 ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e11 = op1(e13,e13)
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) ) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f2798,plain,
( spl72_288
| ~ spl72_188 ),
inference(avatar_split_clause,[],[f2797,f1711,f2335]) ).
fof(f1711,plain,
( spl72_188
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_188])]) ).
fof(f2797,plain,
( ~ sP23
| e22 = h2(e11) ),
inference(forward_demodulation,[],[f240,f387]) ).
fof(f240,plain,
( ~ sP23
| e22 = op2(e21,e21) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e22 = op2(e21,e21)
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP23 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e22 = op2(e21,e21)
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f2793,plain,
( spl72_35
| ~ spl72_176
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f2792,f1106,f1655,f1007]) ).
fof(f1655,plain,
( spl72_176
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_176])]) ).
fof(f2792,plain,
( e21 != h3(e11)
| ~ sP21
| e22 = op2(e22,e21) ),
inference(forward_demodulation,[],[f248,f720]) ).
fof(f248,plain,
( e21 != op2(e22,e22)
| e22 = op2(e22,e21)
| ~ sP21 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( op2(e20,e20) = e21
& ( op2(e20,e20) != e21
| e20 = op2(e20,e21) )
& ( e21 != op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( op2(e20,e20) = e21
& ( op2(e20,e20) != e21
| e20 = op2(e20,e21) )
& ( e21 != op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) ) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f2778,plain,
( spl72_243
| spl72_132
| spl72_238
| spl72_223
| spl72_219
| spl72_246
| spl72_14
| spl72_134
| spl72_245
| spl72_18
| spl72_50
| spl72_156
| spl72_45
| spl72_241
| spl72_244
| spl72_242 ),
inference(avatar_split_clause,[],[f557,f1995,f2003,f1991,f1051,f1548,f1075,f933,f2007,f1451,f915,f2011,f1870,f1889,f1972,f1442,f1999]) ).
fof(f1999,plain,
( spl72_243
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_243])]) ).
fof(f1442,plain,
( spl72_132
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_132])]) ).
fof(f1972,plain,
( spl72_238
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_238])]) ).
fof(f1889,plain,
( spl72_223
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_223])]) ).
fof(f1870,plain,
( spl72_219
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_219])]) ).
fof(f2011,plain,
( spl72_246
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_246])]) ).
fof(f1451,plain,
( spl72_134
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_134])]) ).
fof(f2007,plain,
( spl72_245
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_245])]) ).
fof(f933,plain,
( spl72_18
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_18])]) ).
fof(f1075,plain,
( spl72_50
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_50])]) ).
fof(f1548,plain,
( spl72_156
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_156])]) ).
fof(f1051,plain,
( spl72_45
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_45])]) ).
fof(f2003,plain,
( spl72_244
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_244])]) ).
fof(f1995,plain,
( spl72_242
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_242])]) ).
fof(f557,plain,
( sP39
| sP31
| sP38
| sP43
| sP33
| sP44
| sP40
| sP41
| sP34
| e11 = op1(e11,e10)
| sP42
| sP37
| sP32
| sP36
| sP30
| sP35 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( ( ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) )
& ( e10 != op1(e13,e13)
| e13 = op1(e13,e10) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& e10 = op1(e13,e13)
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ) )
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45 )
& ( ( ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) ) )
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30 ) ),
inference(definition_folding,[],[f10,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]) ).
fof(f52,plain,
( ( ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13)
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f53,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e13 = op1(e13,e13)
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e13 = op1(e13,e13) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f54,plain,
( ( ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& e13 = op1(e11,e13)
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e13 = op1(e13,e11) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f55,plain,
( ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e10 = op1(e10,e11)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& e10 = op1(e11,e10)
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) ) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f56,plain,
( ( e12 = op1(e10,e12)
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e12,e10) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f57,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f58,plain,
( ( e11 = op1(e11,e13)
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e11 = op1(e13,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f59,plain,
( ( ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& e11 = op1(e11,e11)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e11 = op1(e11,e11) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e11 = op1(e11,e12)
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& e11 = op1(e12,e11)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) ) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f62,plain,
( ( e10 = op1(e12,e10)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e10 = op1(e10,e12)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) ) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f63,plain,
( ( e13 = op1(e13,e12)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e13 = op1(e12,e13)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f64,plain,
( ( e12 = op1(e11,e12)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e12 = op1(e12,e11)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) ) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f65,plain,
( ( e10 = op1(e10,e10)
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e10,e10)
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 ) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f66,plain,
( ( ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f67,plain,
( ( ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& e11 = op1(e12,e12)
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f68,plain,
( ( ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& op1(e10,e10) = e13 )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f69,plain,
( ( ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& e13 = op1(e12,e12) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f70,plain,
( ( ( e10 != op1(e12,e12)
| e12 = op1(e12,e10) )
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) )
& e10 = op1(e11,e11)
& ( e10 != op1(e13,e13)
| e13 = op1(e13,e10) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f71,plain,
( ( ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& op1(e10,e10) = e11 )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f73,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& e13 = op1(e13,e13) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f74,plain,
( ( e13 = op1(e11,e11)
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) ) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f75,plain,
( ( ( e10 != op1(e12,e12)
| e12 = op1(e12,e10) )
& e10 = op1(e12,e12)
& ( e10 != op1(e13,e13)
| e13 = op1(e13,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f76,plain,
( ( ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 = op1(e10,e12) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& op1(e10,e10) = e12
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) ) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f77,plain,
( ( e11 = op1(e11,e11)
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) ) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f78,plain,
( ( e12 = op1(e11,e11)
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f79,plain,
( ( ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12)
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) ) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f80,plain,
( ( ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& e10 = op1(e10,e10)
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) ) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f81,plain,
( ( ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& ( op1(e10,e10) != e12
| e10 = op1(e10,e12) )
& e12 = op1(e13,e13)
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) ) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f10,axiom,
( ( ( ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) )
& ( e10 != op1(e13,e13)
| e13 = op1(e13,e10) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& e10 = op1(e13,e13)
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ) )
| ( ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& ( op1(e10,e10) != e12
| e10 = op1(e10,e12) )
& e12 = op1(e13,e13)
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) ) )
| ( ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& e10 = op1(e10,e10)
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) ) )
| ( ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12)
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) ) )
| ( e12 = op1(e11,e11)
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ) )
| ( e11 = op1(e11,e11)
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) ) )
| ( ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 = op1(e10,e12) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& op1(e10,e10) = e12
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) ) )
| ( ( e10 != op1(e12,e12)
| e12 = op1(e12,e10) )
& e10 = op1(e12,e12)
& ( e10 != op1(e13,e13)
| e13 = op1(e13,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ) )
| ( e13 = op1(e11,e11)
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) ) )
| ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& e13 = op1(e13,e13) )
| ( e11 = op1(e13,e13)
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) ) )
| ( ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& op1(e10,e10) = e11 )
| ( ( e10 != op1(e12,e12)
| e12 = op1(e12,e10) )
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) )
& e10 = op1(e11,e11)
& ( e10 != op1(e13,e13)
| e13 = op1(e13,e10) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ) )
| ( ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& e13 = op1(e12,e12) )
| ( ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& op1(e10,e10) = e13 )
| ( ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& e11 = op1(e12,e12)
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) ) ) )
& ( ( ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) ) )
| ( ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) )
| ( e10 = op1(e10,e10)
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e10,e10)
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 ) )
| ( e12 = op1(e11,e12)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e12 = op1(e12,e11)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) ) )
| ( e13 = op1(e13,e12)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e13 = op1(e12,e13)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ( e10 = op1(e12,e10)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e10 = op1(e10,e12)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) ) )
| ( ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e11 = op1(e11,e12)
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& e11 = op1(e12,e11)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) ) )
| ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ) )
| ( ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& e11 = op1(e11,e11)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e11 = op1(e11,e11) )
| ( e11 = op1(e11,e13)
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e11 = op1(e13,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ( e12 = op1(e10,e12)
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e12,e10) )
| ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e10 = op1(e10,e11)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& e10 = op1(e11,e10)
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) ) )
| ( ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& e13 = op1(e11,e13)
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e13 = op1(e13,e11) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e13 = op1(e13,e13)
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e13 = op1(e13,e13) )
| ( ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13)
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f2774,plain,
( ~ spl72_293
| ~ spl72_27 ),
inference(avatar_split_clause,[],[f2773,f972,f2383]) ).
fof(f972,plain,
( spl72_27
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_27])]) ).
fof(f2773,plain,
( ~ sP7
| e23 != h4(e11) ),
inference(forward_demodulation,[],[f828,f382]) ).
fof(f828,plain,
( ~ sP7
| e23 != op2(e23,e23) ),
inference(duplicate_literal_removal,[],[f327]) ).
fof(f327,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP7 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2771,plain,
( ~ spl72_125
| ~ spl72_293 ),
inference(avatar_split_clause,[],[f2770,f2383,f1407]) ).
fof(f1407,plain,
( spl72_125
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_125])]) ).
fof(f2770,plain,
( e23 != h4(e11)
| ~ sP0 ),
inference(forward_demodulation,[],[f829,f382]) ).
fof(f829,plain,
( e23 != op2(e23,e23)
| ~ sP0 ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f370,plain,
( e23 != op2(e23,e23)
| ~ sP0
| e23 != op2(e23,e23) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2769,plain,
( spl72_66
| ~ spl72_94
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f411,f1020,f1279,f1149]) ).
fof(f1279,plain,
( spl72_94
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_94])]) ).
fof(f411,plain,
( e11 != op1(e12,e12)
| ~ sP55
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e11 = op1(e11,e11)
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) ) )
| ~ sP55 ),
inference(nnf_transformation,[],[f77]) ).
fof(f2762,plain,
( ~ spl72_14
| ~ spl72_13
| ~ spl72_219 ),
inference(avatar_split_clause,[],[f512,f1870,f911,f915]) ).
fof(f512,plain,
( ~ sP37
| e10 != op1(e11,e11)
| e11 != op1(e11,e10) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& e11 = op1(e11,e11)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e11 = op1(e11,e11) )
| ~ sP37 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2761,plain,
( ~ spl72_185
| ~ spl72_178
| spl72_43 ),
inference(avatar_split_clause,[],[f262,f1042,f1666,f1699]) ).
fof(f1666,plain,
( spl72_178
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_178])]) ).
fof(f262,plain,
( e20 = op2(e20,e23)
| ~ sP18
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( op2(e20,e20) = e23
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e23 != op2(e22,e22)
| e22 = op2(e22,e23) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( op2(e20,e20) = e23
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e23 != op2(e22,e22)
| e22 = op2(e22,e23) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) ) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f2760,plain,
( spl72_252
| spl72_299
| spl72_282
| spl72_237 ),
inference(avatar_split_clause,[],[f673,f1967,f2261,f2440,f2060]) ).
fof(f673,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e13) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10)
| e12 = op1(e12,e11) )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| op1(e10,e10) = e11 )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e10 = op1(e13,e10)
| e10 = op1(e13,e13)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12) )
& ( e13 = op1(e10,e11)
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| e13 = op1(e10,e13) )
& ( e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10)
| e10 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e10,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13) )
& ( e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) )
& ( e11 = op1(e10,e13)
| e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13) )
& ( e13 = op1(e12,e10)
| e13 = op1(e12,e13)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| e11 = op1(e11,e13) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e10) )
& ( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) )
& ( e11 = op1(e11,e10)
| op1(e10,e10) = e11
| e11 = op1(e12,e10)
| e11 = op1(e13,e10) )
& ( e12 = op1(e12,e10)
| e12 = op1(e13,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e12)
| e12 = op1(e10,e13)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e12 = op1(e12,e11)
| e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e10)
| e11 = op1(e13,e13) )
& ( e13 = op1(e10,e11)
| e13 = op1(e13,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11) )
& ( e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13)
| e13 = op1(e12,e13) )
& ( e11 = op1(e11,e11)
| e11 = op1(e10,e11)
| e11 = op1(e13,e11)
| e11 = op1(e12,e11) )
& ( e11 = op1(e10,e12)
| e11 = op1(e13,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10)
| e10 = op1(e10,e12) )
& ( e10 = op1(e10,e11)
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e10)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11) )
& ( e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| e12 = op1(e13,e13) )
& ( e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13)
| e11 = op1(e12,e10) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2757,plain,
( spl72_14
| ~ spl72_13
| ~ spl72_231 ),
inference(avatar_split_clause,[],[f445,f1932,f911,f915]) ).
fof(f1932,plain,
( spl72_231
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_231])]) ).
fof(f445,plain,
( ~ sP48
| e10 != op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( ( e10 != op1(e12,e12)
| e12 = op1(e12,e10) )
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) )
& e10 = op1(e11,e11)
& ( e10 != op1(e13,e13)
| e13 = op1(e13,e10) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ) )
| ~ sP48 ),
inference(nnf_transformation,[],[f70]) ).
fof(f2756,plain,
( spl72_168
| spl72_253
| spl72_4
| spl72_47 ),
inference(avatar_split_clause,[],[f652,f1062,f872,f2067,f1608]) ).
fof(f652,plain,
( op2(e20,e20) = e21
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2755,plain,
( spl72_80
| spl72_194
| spl72_253
| spl72_292 ),
inference(avatar_split_clause,[],[f190,f2374,f2067,f1742,f1214]) ).
fof(f190,plain,
( e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2754,plain,
( spl72_66
| spl72_234
| spl72_307
| spl72_92 ),
inference(avatar_split_clause,[],[f674,f1269,f2519,f1951,f1149]) ).
fof(f674,plain,
( e12 = op1(e10,e11)
| e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2749,plain,
( ~ spl72_52
| spl72_226 ),
inference(avatar_split_clause,[],[f350,f1904,f1084]) ).
fof(f1084,plain,
( spl72_52
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_52])]) ).
fof(f350,plain,
( e22 = op2(e20,e22)
| ~ sP3 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2747,plain,
( spl72_77
| spl72_44
| spl72_95
| spl72_161 ),
inference(avatar_split_clause,[],[f710,f1574,f1283,f1047,f1200]) ).
fof(f710,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e11 = op1(e13,e13)
| e10 = op1(e13,e13)
| e12 = op1(e13,e13)
| e13 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e10)
| e11 = op1(e13,e10)
| e12 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e12,e12)
| e13 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 = op1(e11,e12)
| e13 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( op1(e10,e10) = e11
| op1(e10,e10) = e12
| e10 = op1(e10,e10)
| op1(e10,e10) = e13 )
& ( e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11) )
& ( e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e10 = op1(e11,e13)
| e11 = op1(e11,e13) )
& ( e12 = op1(e11,e11)
| e10 = op1(e11,e11)
| e13 = op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e12 = op1(e13,e11)
| e10 = op1(e13,e11)
| e13 = op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e12 = op1(e10,e11)
| e10 = op1(e10,e11)
| e13 = op1(e10,e11)
| e11 = op1(e10,e11) )
& ( e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( e10 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e13 = op1(e12,e10) )
& ( e12 = op1(e11,e10)
| e10 = op1(e11,e10)
| e13 = op1(e11,e10)
| e11 = op1(e11,e10) )
& ( e13 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12)
| e12 = op1(e10,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2742,plain,
( spl72_35
| ~ spl72_119 ),
inference(avatar_split_clause,[],[f320,f1383,f1007]) ).
fof(f1383,plain,
( spl72_119
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_119])]) ).
fof(f320,plain,
( ~ sP8
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e22 = op2(e21,e22)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e22,e21)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e22 = op2(e21,e22)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e22,e21)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2740,plain,
( spl72_307
| spl72_297
| spl72_51
| spl72_33 ),
inference(avatar_split_clause,[],[f665,f998,f1079,f2416,f2519]) ).
fof(f665,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2739,plain,
( spl72_53
| ~ spl72_123 ),
inference(avatar_split_clause,[],[f336,f1399,f1088]) ).
fof(f1399,plain,
( spl72_123
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_123])]) ).
fof(f336,plain,
( ~ sP5
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e20 = op2(e20,e20)
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e20,e20)
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e20 = op2(e20,e20)
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e20,e20)
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2724,plain,
( ~ spl72_241
| ~ spl72_44 ),
inference(avatar_split_clause,[],[f832,f1047,f1991]) ).
fof(f832,plain,
( e10 != op1(e10,e10)
| ~ sP38 ),
inference(duplicate_literal_removal,[],[f501]) ).
fof(f501,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10)
| ~ sP38 ),
inference(cnf_transformation,[],[f147]) ).
fof(f2721,plain,
( spl72_293
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2720,f1407,f2383]) ).
fof(f2720,plain,
( ~ sP0
| e23 = h4(e11) ),
inference(forward_demodulation,[],[f365,f382]) ).
fof(f365,plain,
( e23 = op2(e23,e23)
| ~ sP0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f2719,plain,
( ~ spl72_2
| spl72_48 ),
inference(avatar_split_clause,[],[f316,f1066,f863]) ).
fof(f863,plain,
( spl72_2
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).
fof(f316,plain,
( e20 = op2(e20,e21)
| ~ sP9 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e20 = op2(e20,e21)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& e20 = op2(e21,e20)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e20 = op2(e20,e21)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& e20 = op2(e21,e20)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2718,plain,
( ~ spl72_242
| spl72_235 ),
inference(avatar_split_clause,[],[f499,f1955,f1995]) ).
fof(f499,plain,
( e11 = op1(e11,e12)
| ~ sP39 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e11 = op1(e11,e12)
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& e11 = op1(e12,e11)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) ) )
| ~ sP39 ),
inference(nnf_transformation,[],[f61]) ).
fof(f2702,plain,
( spl72_253
| spl72_308
| spl72_121
| spl72_1 ),
inference(avatar_split_clause,[],[f2701,f859,f1391,f2531,f2067]) ).
fof(f2701,plain,
( e21 = op2(e21,e22)
| e21 = op2(e21,e23)
| e21 = h2(e11)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f660,f387]) ).
fof(f660,plain,
( e21 = op2(e21,e21)
| e21 = op2(e21,e20)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2699,plain,
( ~ spl72_87
| spl72_17
| ~ spl72_274 ),
inference(avatar_split_clause,[],[f2698,f2181,f928,f1246]) ).
fof(f1246,plain,
( spl72_87
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_87])]) ).
fof(f2698,plain,
( e20 != h4(e11)
| e23 = op2(e23,e20)
| ~ sP19 ),
inference(forward_demodulation,[],[f256,f382]) ).
fof(f256,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP19 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& e20 = op2(e21,e21)
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& e20 = op2(e21,e21)
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f2693,plain,
( ~ spl72_117
| spl72_58 ),
inference(avatar_split_clause,[],[f2692,f1114,f1375]) ).
fof(f1375,plain,
( spl72_117
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_117])]) ).
fof(f2692,plain,
( e22 = h3(e11)
| ~ sP4 ),
inference(forward_demodulation,[],[f344,f720]) ).
fof(f344,plain,
( ~ sP4
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e22 = op2(e22,e22)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& e22 = op2(e22,e22)
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e22 = op2(e22,e22)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& e22 = op2(e22,e22)
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2690,plain,
( ~ spl72_298
| ~ spl72_253
| ~ spl72_119 ),
inference(avatar_split_clause,[],[f2689,f1383,f2067,f2435]) ).
fof(f2689,plain,
( ~ sP8
| e21 != op2(e21,e20)
| e20 != h2(e11) ),
inference(forward_demodulation,[],[f319,f387]) ).
fof(f319,plain,
( e20 != op2(e21,e21)
| ~ sP8
| e21 != op2(e21,e20) ),
inference(cnf_transformation,[],[f117]) ).
fof(f2668,plain,
( spl72_157
| ~ spl72_219 ),
inference(avatar_split_clause,[],[f511,f1870,f1552]) ).
fof(f511,plain,
( ~ sP37
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f148]) ).
fof(f2667,plain,
( spl72_308
| ~ spl72_131 ),
inference(avatar_split_clause,[],[f2666,f1437,f2531]) ).
fof(f1437,plain,
( spl72_131
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_131])]) ).
fof(f2666,plain,
( ~ sP16
| e21 = h2(e11) ),
inference(forward_demodulation,[],[f273,f387]) ).
fof(f273,plain,
( ~ sP16
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& e21 = op2(e21,e21)
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& e21 = op2(e21,e21)
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f2665,plain,
( ~ spl72_10
| spl72_35
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f2664,f1106,f1007,f898]) ).
fof(f898,plain,
( spl72_10
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_10])]) ).
fof(f2664,plain,
( e21 != h3(e11)
| e22 = op2(e22,e21)
| ~ sP22 ),
inference(forward_demodulation,[],[f242,f720]) ).
fof(f242,plain,
( e21 != op2(e22,e22)
| e22 = op2(e22,e21)
| ~ sP22 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e23,e23)
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e23,e23)
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) ) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f2663,plain,
( spl72_76
| ~ spl72_128
| ~ spl72_77 ),
inference(avatar_split_clause,[],[f431,f1200,f1423,f1196]) ).
fof(f1423,plain,
( spl72_128
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_128])]) ).
fof(f431,plain,
( op1(e10,e10) != e13
| ~ sP51
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& e13 = op1(e13,e13) )
| ~ sP51 ),
inference(nnf_transformation,[],[f73]) ).
fof(f2662,plain,
( spl72_308
| spl72_6
| spl72_28
| spl72_179 ),
inference(avatar_split_clause,[],[f2661,f1673,f976,f880,f2531]) ).
fof(f2661,plain,
( e21 = op2(e20,e21)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = h2(e11) ),
inference(forward_demodulation,[],[f645,f387]) ).
fof(f645,plain,
( e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = op2(e23,e21)
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2660,plain,
( spl72_24
| spl72_73
| spl72_5
| spl72_228 ),
inference(avatar_split_clause,[],[f192,f1913,f876,f1182,f958]) ).
fof(f192,plain,
( e23 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2659,plain,
( spl72_304
| spl72_288
| spl72_292
| spl72_177 ),
inference(avatar_split_clause,[],[f2658,f1660,f2374,f2335,f2491]) ).
fof(f2658,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e20)
| e22 = h2(e11)
| e22 = op2(e21,e22) ),
inference(forward_demodulation,[],[f632,f387]) ).
fof(f632,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2653,plain,
( spl72_227
| ~ spl72_49 ),
inference(avatar_split_clause,[],[f297,f1070,f1909]) ).
fof(f1070,plain,
( spl72_49
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_49])]) ).
fof(f297,plain,
( ~ sP12
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e23,e20)
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e23,e20)
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2641,plain,
( spl72_239
| ~ spl72_55 ),
inference(avatar_split_clause,[],[f360,f1097,f1980]) ).
fof(f1097,plain,
( spl72_55
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_55])]) ).
fof(f360,plain,
( ~ sP1
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e22 = op2(e22,e23)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e22 = op2(e23,e22)
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e22 = op2(e22,e23)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e22 = op2(e23,e22)
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2639,plain,
( spl72_133
| spl72_41
| spl72_301
| spl72_216 ),
inference(avatar_split_clause,[],[f701,f1845,f2472,f1033,f1447]) ).
fof(f701,plain,
( e13 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2629,plain,
( ~ spl72_15
| ~ spl72_298
| spl72_253 ),
inference(avatar_split_clause,[],[f2628,f2067,f2435,f920]) ).
fof(f920,plain,
( spl72_15
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_15])]) ).
fof(f2628,plain,
( e21 = op2(e21,e20)
| e20 != h2(e11)
| ~ sP24 ),
inference(forward_demodulation,[],[f234,f387]) ).
fof(f234,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP24 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& e20 = op2(e23,e23) )
| ~ sP24 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& e20 = op2(e23,e23) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f2627,plain,
( ~ spl72_314
| ~ spl72_129 ),
inference(avatar_split_clause,[],[f604,f1428,f2624]) ).
fof(f1428,plain,
( spl72_129
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_129])]) ).
fof(f604,plain,
( ~ sP62
| e23 != h2(e13) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e23 != h2(e11)
& e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e12) )
| ~ sP62 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e23 != h2(e11)
& e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e12) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f2616,plain,
( spl72_189
| spl72_61
| spl72_127
| spl72_215 ),
inference(avatar_split_clause,[],[f671,f1841,f1419,f1127,f1716]) ).
fof(f671,plain,
( e13 = op1(e10,e13)
| e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2614,plain,
( spl72_70
| ~ spl72_243 ),
inference(avatar_split_clause,[],[f524,f1999,f1168]) ).
fof(f524,plain,
( ~ sP35
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f2613,plain,
( ~ spl72_77
| ~ spl72_76
| ~ spl72_241 ),
inference(avatar_split_clause,[],[f504,f1991,f1196,f1200]) ).
fof(f504,plain,
( ~ sP38
| e10 != op1(e10,e13)
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[],[f147]) ).
fof(f2612,plain,
( ~ spl72_41
| ~ spl72_241
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f506,f1574,f1991,f1033]) ).
fof(f506,plain,
( op1(e10,e10) != e12
| ~ sP38
| e10 != op1(e10,e12) ),
inference(cnf_transformation,[],[f147]) ).
fof(f2610,plain,
( ~ spl72_127
| ~ spl72_50 ),
inference(avatar_split_clause,[],[f833,f1075,f1419]) ).
fof(f833,plain,
( ~ sP44
| e13 != op1(e13,e13) ),
inference(duplicate_literal_removal,[],[f465]) ).
fof(f465,plain,
( e13 != op1(e13,e13)
| ~ sP44
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13)
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) )
| ~ sP44 ),
inference(nnf_transformation,[],[f66]) ).
fof(f2609,plain,
( spl72_77
| ~ spl72_171 ),
inference(avatar_split_clause,[],[f455,f1622,f1200]) ).
fof(f1622,plain,
( spl72_171
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_171])]) ).
fof(f455,plain,
( ~ sP46
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& op1(e10,e10) = e13 )
| ~ sP46 ),
inference(nnf_transformation,[],[f68]) ).
fof(f2606,plain,
( ~ spl72_49
| spl72_17 ),
inference(avatar_split_clause,[],[f294,f928,f1070]) ).
fof(f294,plain,
( e23 = op2(e23,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f113]) ).
fof(f2603,plain,
( spl72_272
| spl72_163
| spl72_127
| spl72_89 ),
inference(avatar_split_clause,[],[f662,f1256,f1419,f1585,f2155]) ).
fof(f662,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e13)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2598,plain,
spl72_290,
inference(avatar_split_clause,[],[f717,f2357]) ).
fof(f717,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f2597,plain,
~ spl72_158,
inference(avatar_split_clause,[],[f203,f1560]) ).
fof(f203,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2594,plain,
( spl72_63
| spl72_33
| spl72_286
| spl72_20 ),
inference(avatar_split_clause,[],[f685,f941,f2300,f998,f1135]) ).
fof(f685,plain,
( e12 = op1(e12,e13)
| e12 = op1(e10,e13)
| e12 = op1(e13,e13)
| e12 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2593,plain,
( ~ spl72_90
| spl72_161 ),
inference(avatar_split_clause,[],[f416,f1574,f1260]) ).
fof(f1260,plain,
( spl72_90
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_90])]) ).
fof(f416,plain,
( op1(e10,e10) = e12
| ~ sP54 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( op1(e10,e10) != e12
| e10 = op1(e10,e12) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& op1(e10,e10) = e12
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) ) )
| ~ sP54 ),
inference(nnf_transformation,[],[f76]) ).
fof(f2590,plain,
( spl72_44
| spl72_41
| spl72_76
| spl72_29 ),
inference(avatar_split_clause,[],[f668,f981,f1196,f1033,f1047]) ).
fof(f668,plain,
( e10 = op1(e10,e11)
| e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2589,plain,
spl72_38,
inference(avatar_split_clause,[],[f698,f1020]) ).
fof(f698,plain,
e11 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f2588,plain,
( spl72_249
| spl72_74
| spl72_276
| spl72_37 ),
inference(avatar_split_clause,[],[f703,f1016,f2205,f1187,f2037]) ).
fof(f703,plain,
( e11 = op1(e12,e10)
| e13 = op1(e12,e10)
| e10 = op1(e12,e10)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2585,plain,
( ~ spl72_238
| spl72_299 ),
inference(avatar_split_clause,[],[f514,f2440,f1972]) ).
fof(f514,plain,
( e11 = op1(e13,e11)
| ~ sP36 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e11 = op1(e11,e13)
& ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e11 = op1(e13,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP36 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2572,plain,
( ~ spl72_310
| ~ spl72_112 ),
inference(avatar_split_clause,[],[f578,f1354,f2569]) ).
fof(f1354,plain,
( spl72_112
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_112])]) ).
fof(f578,plain,
( ~ sP68
| e23 != h1(e11) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e23 != h1(e10)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11) )
| ~ sP68 ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e23 != h1(e10)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f2564,plain,
( spl72_43
| ~ spl72_88 ),
inference(avatar_split_clause,[],[f284,f1251,f1042]) ).
fof(f1251,plain,
( spl72_88
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_88])]) ).
fof(f284,plain,
( ~ sP14
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e20 = op2(e23,e20)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e20 = op2(e20,e23)
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e20 = op2(e23,e20)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e20 = op2(e20,e23)
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f2563,plain,
( ~ spl72_122
| spl72_6 ),
inference(avatar_split_clause,[],[f355,f880,f1395]) ).
fof(f1395,plain,
( spl72_122
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_122])]) ).
fof(f355,plain,
( e21 = op2(e22,e21)
| ~ sP2 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e21 = op2(e21,e22)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& e21 = op2(e22,e21)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e21 = op2(e21,e22)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& e21 = op2(e22,e21)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2561,plain,
( spl72_122
| spl72_308
| spl72_118
| spl72_2
| spl72_55
| spl72_124
| spl72_120
| spl72_52
| spl72_123
| spl72_125
| spl72_88
| spl72_119
| spl72_49
| spl72_117
| spl72_27
| spl72_46 ),
inference(avatar_split_clause,[],[f2560,f1056,f972,f1375,f1070,f1383,f1251,f1407,f1399,f1084,f1387,f1403,f1097,f863,f1379,f2531,f1395]) ).
fof(f1379,plain,
( spl72_118
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_118])]) ).
fof(f1403,plain,
( spl72_124
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_124])]) ).
fof(f1387,plain,
( spl72_120
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_120])]) ).
fof(f1056,plain,
( spl72_46
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_46])]) ).
fof(f2560,plain,
( sP13
| sP7
| sP4
| sP12
| sP8
| sP14
| sP0
| sP5
| sP3
| sP10
| sP6
| sP1
| sP9
| sP11
| e21 = h2(e11)
| sP2 ),
inference(forward_demodulation,[],[f373,f387]) ).
fof(f373,plain,
( sP11
| sP3
| sP5
| sP12
| sP1
| sP14
| sP0
| sP7
| sP13
| sP9
| sP10
| sP6
| e21 = op2(e21,e21)
| sP2
| sP4
| sP8 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( ( e23 = op2(e22,e22)
& ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) ) )
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 )
& ( ( ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) ) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f11,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]) ).
fof(f27,plain,
( ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20)
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f31,plain,
( ( e23 = op2(e21,e23)
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e23,e21) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e20 = op2(e20,e22)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& e20 = op2(e22,e20) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f34,plain,
( ( ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e23 = op2(e23,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e23 = op2(e22,e23)
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23)
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f46,plain,
( ( e22 = op2(e23,e23)
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) ) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f47,plain,
( ( ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& op2(e20,e20) = e22
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f48,plain,
( ( ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 = op2(e23,e20) )
& e20 = op2(e22,e22)
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) ) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f49,plain,
( ( ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& e22 = op2(e22,e22)
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f50,plain,
( ( e20 = op2(e20,e20)
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e20,e20)
| e20 = op2(e20,e20) ) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f11,axiom,
( ( ( e23 = op2(e22,e22)
& ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) ) )
| ( e20 = op2(e20,e20)
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e20,e20)
| e20 = op2(e20,e20) ) )
| ( ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& e22 = op2(e22,e22)
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ( ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 = op2(e23,e20) )
& e20 = op2(e22,e22)
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) ) )
| ( ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& op2(e20,e20) = e22
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ( e22 = op2(e23,e23)
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) ) )
| ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& e20 = op2(e23,e23) )
| ( e22 = op2(e21,e21)
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ( ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e23,e23)
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) ) )
| ( op2(e20,e20) = e21
& ( op2(e20,e20) != e21
| e20 = op2(e20,e21) )
& ( e21 != op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) ) )
| ( ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& e23 = op2(e21,e21)
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) ) )
| ( ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& e20 = op2(e21,e21)
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ) )
| ( op2(e20,e20) = e23
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e23 != op2(e22,e22)
| e22 = op2(e22,e23) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) ) )
| ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 = op2(e20,e21) )
& e21 = op2(e22,e22)
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) ) )
| ( ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& e21 = op2(e21,e21)
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) ) )
| ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23)
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) ) ) )
& ( ( ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) ) )
| ( e20 = op2(e23,e20)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e20 = op2(e20,e23)
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) ) )
| ( ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e23 = op2(e23,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e23 = op2(e22,e23)
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e23,e20)
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e20 = op2(e20,e22)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& e20 = op2(e22,e20) )
| ( e23 = op2(e21,e23)
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e23,e21) )
| ( e20 = op2(e20,e21)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& e20 = op2(e21,e20)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) ) )
| ( e22 = op2(e21,e22)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e22,e21)
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20)
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ( e20 = op2(e20,e20)
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e20,e20)
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) ) )
| ( ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e22 = op2(e22,e22)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& e22 = op2(e22,e22)
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ( ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) ) )
| ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e21 = op2(e21,e22)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& e21 = op2(e22,e21)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) ) )
| ( e22 = op2(e22,e23)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& e22 = op2(e23,e22)
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f2559,plain,
( ~ spl72_238
| spl72_62 ),
inference(avatar_split_clause,[],[f518,f1131,f1972]) ).
fof(f518,plain,
( e11 = op1(e11,e13)
| ~ sP36 ),
inference(cnf_transformation,[],[f149]) ).
fof(f2558,plain,
( ~ spl72_27
| spl72_121 ),
inference(avatar_split_clause,[],[f325,f1391,f972]) ).
fof(f325,plain,
( e21 = op2(e21,e23)
| ~ sP7 ),
inference(cnf_transformation,[],[f118]) ).
fof(f2557,plain,
( spl72_304
| ~ spl72_119 ),
inference(avatar_split_clause,[],[f322,f1383,f2491]) ).
fof(f322,plain,
( ~ sP8
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f117]) ).
fof(f2556,plain,
( spl72_57
| ~ spl72_183 ),
inference(avatar_split_clause,[],[f2555,f1691,f1110]) ).
fof(f1691,plain,
( spl72_183
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_183])]) ).
fof(f2555,plain,
( ~ sP27
| e20 = h3(e11) ),
inference(forward_demodulation,[],[f218,f720]) ).
fof(f218,plain,
( e20 = op2(e22,e22)
| ~ sP27 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 = op2(e23,e20) )
& e20 = op2(e22,e22)
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2554,plain,
( ~ spl72_284
| ~ spl72_170
| ~ spl72_27 ),
inference(avatar_split_clause,[],[f2553,f972,f1617,f2275]) ).
fof(f2553,plain,
( ~ sP7
| e23 != op2(e23,e22)
| e22 != h4(e11) ),
inference(forward_demodulation,[],[f323,f382]) ).
fof(f323,plain,
( ~ sP7
| e22 != op2(e23,e23)
| e23 != op2(e23,e22) ),
inference(cnf_transformation,[],[f118]) ).
fof(f2551,plain,
( ~ spl72_309
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f611,f1532,f2548]) ).
fof(f1532,plain,
( spl72_153
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_153])]) ).
fof(f611,plain,
( ~ sP60
| e22 != h2(e10) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e10)
& e22 != h2(e13) )
| ~ sP60 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e10)
& e22 != h2(e13) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f2546,plain,
( ~ spl72_223
| spl72_272 ),
inference(avatar_split_clause,[],[f537,f2155,f1889]) ).
fof(f537,plain,
( e13 = op1(e13,e11)
| ~ sP32 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& e13 = op1(e11,e13)
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e13 = op1(e13,e11) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2543,plain,
( spl72_246
| spl72_132
| spl72_134
| spl72_156
| spl72_243
| ~ spl72_77
| spl72_45
| spl72_219
| ~ spl72_76
| spl72_18
| spl72_244
| spl72_242
| spl72_241
| spl72_238
| spl72_245
| spl72_223
| spl72_50 ),
inference(avatar_split_clause,[],[f558,f1075,f1889,f2007,f1972,f1991,f1995,f2003,f933,f1196,f1870,f1051,f1200,f1999,f1548,f1451,f1442,f2011]) ).
fof(f558,plain,
( sP44
| sP32
| sP41
| sP36
| sP38
| sP39
| sP31
| sP40
| e10 != op1(e10,e13)
| sP37
| sP43
| op1(e10,e10) != e13
| sP35
| sP33
| sP34
| sP30
| sP42 ),
inference(cnf_transformation,[],[f82]) ).
fof(f2539,plain,
( ~ spl72_118
| spl72_67 ),
inference(avatar_split_clause,[],[f303,f1155,f1379]) ).
fof(f303,plain,
( e20 = op2(e20,e22)
| ~ sP11 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& e20 = op2(e20,e22)
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& e20 = op2(e22,e20) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f2536,plain,
( spl72_222
| ~ spl72_232 ),
inference(avatar_split_clause,[],[f429,f1939,f1884]) ).
fof(f1939,plain,
( spl72_232
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_232])]) ).
fof(f429,plain,
( ~ sP52
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e13 = op1(e11,e11)
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) ) )
| ~ sP52 ),
inference(nnf_transformation,[],[f74]) ).
fof(f2524,plain,
( spl72_40
| spl72_62
| spl72_237
| spl72_295 ),
inference(avatar_split_clause,[],[f683,f2400,f1967,f1131,f1028]) ).
fof(f683,plain,
( e11 = op1(e10,e13)
| e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2523,plain,
( spl72_79
| ~ spl72_13
| spl72_94
| spl72_250
| spl72_171
| spl72_231
| spl72_12
| spl72_65
| spl72_172
| spl72_78
| spl72_236
| spl72_14
| spl72_232
| spl72_248
| spl72_128
| spl72_90
| spl72_32 ),
inference(avatar_split_clause,[],[f561,f994,f1260,f1423,f2024,f1939,f915,f1960,f1204,f1632,f1145,f907,f1932,f1622,f2041,f1279,f911,f1209]) ).
fof(f1209,plain,
( spl72_79
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_79])]) ).
fof(f907,plain,
( spl72_12
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_12])]) ).
fof(f1145,plain,
( spl72_65
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_65])]) ).
fof(f1632,plain,
( spl72_172
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_172])]) ).
fof(f1204,plain,
( spl72_78
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_78])]) ).
fof(f1960,plain,
( spl72_236
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_236])]) ).
fof(f2024,plain,
( spl72_248
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_248])]) ).
fof(f994,plain,
( spl72_32
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_32])]) ).
fof(f561,plain,
( sP59
| sP54
| sP51
| sP58
| sP52
| e11 = op1(e11,e10)
| sP56
| sP47
| sP49
| sP45
| sP53
| sP48
| sP46
| sP50
| sP55
| e10 != op1(e11,e11)
| sP57 ),
inference(cnf_transformation,[],[f82]) ).
fof(f2522,plain,
( spl72_307
| spl72_272
| spl72_30
| spl72_299 ),
inference(avatar_split_clause,[],[f706,f2440,f985,f2155,f2519]) ).
fof(f706,plain,
( e11 = op1(e13,e11)
| e10 = op1(e13,e11)
| e13 = op1(e13,e11)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2517,plain,
( ~ spl72_306
| ~ spl72_110
| ~ spl72_103
| ~ spl72_106
| ~ spl72_104
| ~ spl72_99
| ~ spl72_98
| spl72_26
| spl72_101
| ~ spl72_107
| ~ spl72_115
| ~ spl72_111
| ~ spl72_113
| spl72_112
| ~ spl72_105
| ~ spl72_114
| ~ spl72_109
| ~ spl72_102
| ~ spl72_116
| ~ spl72_108 ),
inference(avatar_split_clause,[],[f624,f1338,f1370,f1314,f1342,f1362,f1326,f1354,f1358,f1350,f1366,f1334,f1310,f967,f1298,f1302,f1322,f1330,f1318,f1346,f2514]) ).
fof(f967,plain,
( spl72_26
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_26])]) ).
fof(f1310,plain,
( spl72_101
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_101])]) ).
fof(f624,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP68
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| sP67
| sP66
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| e21 != h1(e10) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( ( e21 != h3(e13)
& e21 != h3(e10)
& e21 != h3(e12)
& e21 != h3(e11) )
| sP71
| sP70
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| sP69
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) )
& ( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e13) )
| sP68
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP67
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| sP66
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) )
& ( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e13)
& e22 != h4(e12) )
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP65
| sP64
| sP63
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) )
& ( ( e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13)
& e21 != h2(e10) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP62
| sP61
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| sP60
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ) ),
inference(definition_folding,[],[f20,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83]) ).
fof(f84,plain,
( ( e20 != h2(e12)
& e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f88,plain,
( ( e20 != h4(e12)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e11) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f89,plain,
( ( e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f90,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f92,plain,
( ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f93,plain,
( ( e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e10) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f94,plain,
( ( e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e11) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f20,plain,
( ( ( e21 != h3(e13)
& e21 != h3(e10)
& e21 != h3(e12)
& e21 != h3(e11) )
| ( e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e11) )
| ( e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e10) )
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12) )
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) )
& ( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e13) )
| ( e23 != h1(e10)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10) )
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) )
& ( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e13)
& e22 != h4(e12) )
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e20 != h4(e12)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e11) )
| ( e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| ( e23 != h4(e10)
& e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) )
& ( ( e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13)
& e21 != h2(e10) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e23 != h2(e11)
& e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e12) )
| ( e20 != h2(e12)
& e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| ( e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e10)
& e22 != h2(e13) )
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e10)
| e21 = h4(e11) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e10)
| e22 = h4(e12)
| e22 = h4(e13)
| e22 = h4(e11) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e23 = h4(e13)
| e23 = h4(e11)
| e23 = h4(e10)
| e23 = h4(e12) )
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e11)
| e20 = h4(e13) )
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
| ( h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e10)
| e23 = h1(e13) )
& ( e21 = h1(e11)
| e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e12) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e20 = h1(e12)
| e20 = h1(e10)
| e20 = h1(e13)
| e20 = h1(e11) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13) )
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) )
| ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& ( e21 = h2(e12)
| e21 = h2(e10)
| e21 = h2(e13)
| e21 = h2(e11) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& ( e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e13)
| e23 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e20 = h2(e11)
| e20 = h2(e12)
| e20 = h2(e13)
| e20 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) )
| ( h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& ( e23 = h3(e10)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e13) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e20 = h3(e11)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e10) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11) )
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e10)
| e21 = h4(e11) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e10)
| e22 = h4(e12)
| e22 = h4(e13)
| e22 = h4(e11) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e23 = h4(e13)
| e23 = h4(e11)
| e23 = h4(e10)
| e23 = h4(e12) )
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e11)
| e20 = h4(e13) )
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
| ( h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e10)
| e23 = h1(e13) )
& ( e21 = h1(e11)
| e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e12) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e20 = h1(e12)
| e20 = h1(e10)
| e20 = h1(e13)
| e20 = h1(e11) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13) )
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) )
| ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& ( e21 = h2(e12)
| e21 = h2(e10)
| e21 = h2(e13)
| e21 = h2(e11) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& ( e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e13)
| e23 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e20 = h2(e11)
| e20 = h2(e12)
| e20 = h2(e13)
| e20 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) )
| ( h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& ( e23 = h3(e10)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e13) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e20 = h3(e11)
| e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e10) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11) )
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2512,plain,
( spl72_185
| spl72_287
| spl72_80
| spl72_17 ),
inference(avatar_split_clause,[],[f640,f928,f1214,f2327,f1699]) ).
fof(f640,plain,
( e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2511,plain,
( ~ spl72_55
| spl72_73 ),
inference(avatar_split_clause,[],[f364,f1182,f1097]) ).
fof(f364,plain,
( e22 = op2(e22,e23)
| ~ sP1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f2507,plain,
( spl72_228
| ~ spl72_46 ),
inference(avatar_split_clause,[],[f289,f1056,f1913]) ).
fof(f289,plain,
( ~ sP13
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e23 = op2(e23,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e23 = op2(e22,e23)
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f2504,plain,
( ~ spl72_298
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f607,f1508,f2435]) ).
fof(f1508,plain,
( spl72_147
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_147])]) ).
fof(f607,plain,
( ~ sP61
| e20 != h2(e11) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e20 != h2(e12)
& e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP61 ),
inference(nnf_transformation,[],[f84]) ).
fof(f2503,plain,
( spl72_20
| spl72_70
| spl72_249
| spl72_66 ),
inference(avatar_split_clause,[],[f692,f1149,f2037,f1168,f941]) ).
fof(f692,plain,
( e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2502,plain,
( spl72_161
| spl72_297
| spl72_273
| spl72_249 ),
inference(avatar_split_clause,[],[f677,f2037,f2164,f2416,f1574]) ).
fof(f677,plain,
( e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| e12 = op1(e13,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2494,plain,
( spl72_69
| spl72_304
| spl72_1
| spl72_82 ),
inference(avatar_split_clause,[],[f185,f1222,f859,f2491,f1163]) ).
fof(f185,plain,
( e23 = op2(e21,e22)
| e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2489,plain,
( ~ spl72_303
| ~ spl72_159 ),
inference(avatar_split_clause,[],[f592,f1564,f2486]) ).
fof(f1564,plain,
( spl72_159
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_159])]) ).
fof(f592,plain,
( ~ sP65
| e20 != h4(e10) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e20 != h4(e12)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e11) )
| ~ sP65 ),
inference(nnf_transformation,[],[f88]) ).
fof(f2478,plain,
( spl72_220
| spl72_229
| spl72_96
| spl72_235 ),
inference(avatar_split_clause,[],[f711,f1955,f1288,f1918,f1876]) ).
fof(f711,plain,
( e11 = op1(e11,e12)
| e10 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2477,plain,
( ~ spl72_248
| spl72_44 ),
inference(avatar_split_clause,[],[f396,f1047,f2024]) ).
fof(f396,plain,
( e10 = op1(e10,e10)
| ~ sP58 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& e10 = op1(e10,e10)
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) ) )
| ~ sP58 ),
inference(nnf_transformation,[],[f80]) ).
fof(f2476,plain,
( ~ spl72_184
| spl72_193 ),
inference(avatar_split_clause,[],[f224,f1737,f1695]) ).
fof(f1695,plain,
( spl72_184
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_184])]) ).
fof(f224,plain,
( op2(e20,e20) = e22
| ~ sP26 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& op2(e20,e20) = e22
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ~ sP26 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2475,plain,
( spl72_301
| spl72_295
| spl72_91
| spl72_95 ),
inference(avatar_split_clause,[],[f691,f1283,f1265,f2400,f2472]) ).
fof(f691,plain,
( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e13)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2460,plain,
( spl72_44
| ~ spl72_45 ),
inference(avatar_split_clause,[],[f472,f1051,f1047]) ).
fof(f472,plain,
( ~ sP43
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e10 = op1(e10,e10)
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e10,e10)
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 ) )
| ~ sP43 ),
inference(nnf_transformation,[],[f65]) ).
fof(f2454,plain,
( ~ spl72_45
| ~ spl72_76
| ~ spl72_77 ),
inference(avatar_split_clause,[],[f471,f1200,f1196,f1051]) ).
fof(f471,plain,
( op1(e10,e10) != e13
| e10 != op1(e10,e13)
| ~ sP43 ),
inference(cnf_transformation,[],[f142]) ).
fof(f2449,plain,
( ~ spl72_124
| spl72_253 ),
inference(avatar_split_clause,[],[f332,f2067,f1403]) ).
fof(f332,plain,
( e21 = op2(e21,e20)
| ~ sP6 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20)
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f2448,plain,
( ~ spl72_244
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f838,f1419,f2003]) ).
fof(f838,plain,
( e13 != op1(e13,e13)
| ~ sP31 ),
inference(duplicate_literal_removal,[],[f547]) ).
fof(f547,plain,
( ~ sP31
| e13 != op1(e13,e13)
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e13 = op1(e13,e13)
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e13 = op1(e13,e13) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f2447,plain,
( ~ spl72_182
| spl72_293 ),
inference(avatar_split_clause,[],[f2446,f2383,f1687]) ).
fof(f1687,plain,
( spl72_182
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_182])]) ).
fof(f2446,plain,
( e23 = h4(e11)
| ~ sP15 ),
inference(forward_demodulation,[],[f278,f382]) ).
fof(f278,plain,
( ~ sP15
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23)
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f36]) ).
fof(f2432,plain,
( ~ spl72_53
| ~ spl72_123 ),
inference(avatar_split_clause,[],[f839,f1399,f1088]) ).
fof(f839,plain,
( ~ sP5
| e20 != op2(e20,e20) ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f339,plain,
( e20 != op2(e20,e20)
| ~ sP5
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f120]) ).
fof(f2431,plain,
( ~ spl72_76
| ~ spl72_77
| ~ spl72_134 ),
inference(avatar_split_clause,[],[f526,f1451,f1200,f1196]) ).
fof(f526,plain,
( ~ sP34
| op1(e10,e10) != e13
| e10 != op1(e10,e13) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e12 = op1(e10,e12)
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e12,e10) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2428,plain,
( ~ spl72_244
| spl72_127 ),
inference(avatar_split_clause,[],[f543,f1419,f2003]) ).
fof(f543,plain,
( e13 = op1(e13,e13)
| ~ sP31 ),
inference(cnf_transformation,[],[f154]) ).
fof(f2422,plain,
( ~ spl72_238
| ~ spl72_33
| ~ spl72_89 ),
inference(avatar_split_clause,[],[f517,f1256,f998,f1972]) ).
fof(f517,plain,
( e13 != op1(e13,e12)
| e12 != op1(e13,e13)
| ~ sP36 ),
inference(cnf_transformation,[],[f149]) ).
fof(f2419,plain,
( spl72_282
| spl72_160
| spl72_163
| spl72_297 ),
inference(avatar_split_clause,[],[f714,f2416,f1585,f1569,f2261]) ).
fof(f714,plain,
( e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2409,plain,
( ~ spl72_296
| ~ spl72_26 ),
inference(avatar_split_clause,[],[f588,f967,f2406]) ).
fof(f588,plain,
( ~ sP66
| e22 != h1(e11) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10) )
| ~ sP66 ),
inference(nnf_transformation,[],[f89]) ).
fof(f2404,plain,
( spl72_189
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f486,f2007,f1716]) ).
fof(f486,plain,
( ~ sP41
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e13 = op1(e13,e12)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e13 = op1(e12,e13)
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ~ sP41 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2403,plain,
( spl72_215
| spl72_76
| spl72_286
| spl72_295 ),
inference(avatar_split_clause,[],[f713,f2400,f2300,f1196,f1841]) ).
fof(f713,plain,
( e11 = op1(e10,e13)
| e12 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2398,plain,
( spl72_215
| ~ spl72_241 ),
inference(avatar_split_clause,[],[f503,f1991,f1841]) ).
fof(f503,plain,
( ~ sP38
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f147]) ).
fof(f2386,plain,
( spl72_284
| spl72_274
| spl72_293
| spl72_275 ),
inference(avatar_split_clause,[],[f2381,f2200,f2383,f2181,f2275]) ).
fof(f2381,plain,
( e21 = h4(e11)
| e23 = h4(e11)
| e20 = h4(e11)
| e22 = h4(e11) ),
inference(forward_demodulation,[],[f2380,f382]) ).
fof(f2380,plain,
( e21 = h4(e11)
| e20 = h4(e11)
| e22 = op2(e23,e23)
| e23 = h4(e11) ),
inference(forward_demodulation,[],[f2379,f382]) ).
fof(f2379,plain,
( e20 = h4(e11)
| e21 = h4(e11)
| e23 = op2(e23,e23)
| e22 = op2(e23,e23) ),
inference(forward_demodulation,[],[f2378,f382]) ).
fof(f2378,plain,
( e21 = op2(e23,e23)
| e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e20 = h4(e11) ),
inference(forward_demodulation,[],[f195,f382]) ).
fof(f195,plain,
( e20 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2377,plain,
( spl72_166
| spl72_86
| spl72_193
| spl72_292 ),
inference(avatar_split_clause,[],[f644,f2374,f1737,f1242,f1600]) ).
fof(f644,plain,
( e22 = op2(e21,e20)
| op2(e20,e20) = e22
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2372,plain,
( spl72_229
| spl72_234
| spl72_63
| spl72_273 ),
inference(avatar_split_clause,[],[f680,f2164,f1135,f1951,f1918]) ).
fof(f680,plain,
( e12 = op1(e11,e10)
| e12 = op1(e11,e13)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2371,plain,
( spl72_275
| spl72_84
| spl72_28
| spl72_168 ),
inference(avatar_split_clause,[],[f2370,f1608,f976,f1232,f2200]) ).
fof(f2370,plain,
( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = h4(e11) ),
inference(forward_demodulation,[],[f646,f382]) ).
fof(f646,plain,
( e21 = op2(e23,e22)
| e21 = op2(e23,e20)
| e21 = op2(e23,e23)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2363,plain,
( spl72_160
| spl72_30
| spl72_164
| spl72_97 ),
inference(avatar_split_clause,[],[f689,f1292,f1589,f985,f1569]) ).
fof(f689,plain,
( e10 = op1(e13,e12)
| e10 = op1(e13,e13)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2360,plain,
( ~ spl72_290
| ~ spl72_192 ),
inference(avatar_split_clause,[],[f574,f1731,f2357]) ).
fof(f1731,plain,
( spl72_192
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_192])]) ).
fof(f574,plain,
( ~ sP69
| e22 != h3(e12) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12) )
| ~ sP69 ),
inference(nnf_transformation,[],[f92]) ).
fof(f2353,plain,
( spl72_54
| ~ spl72_120 ),
inference(avatar_split_clause,[],[f305,f1387,f1093]) ).
fof(f305,plain,
( ~ sP10
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e23 = op2(e21,e23)
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e23,e21) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f2351,plain,
( spl72_89
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f393,f998,f994,f1256]) ).
fof(f393,plain,
( e12 != op1(e13,e13)
| ~ sP59
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& ( op1(e10,e10) != e12
| e10 = op1(e10,e12) )
& e12 = op1(e13,e13)
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) ) )
| ~ sP59 ),
inference(nnf_transformation,[],[f81]) ).
fof(f2350,plain,
( ~ spl72_289
| ~ spl72_112 ),
inference(avatar_split_clause,[],[f580,f1354,f2347]) ).
fof(f580,plain,
( ~ sP68
| e23 != h1(e13) ),
inference(cnf_transformation,[],[f159]) ).
fof(f2344,plain,
spl72_214,
inference(avatar_split_clause,[],[f2343,f1834]) ).
fof(f2343,plain,
e20 = h3(e10),
inference(forward_demodulation,[],[f2342,f1583]) ).
fof(f2342,plain,
e20 = op2(h3(e11),h3(e11)),
inference(forward_demodulation,[],[f776,f720]) ).
fof(f776,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f2333,plain,
( spl72_253
| ~ spl72_126
| ~ spl72_187 ),
inference(avatar_split_clause,[],[f208,f1707,f1414,f2067]) ).
fof(f1707,plain,
( spl72_187
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_187])]) ).
fof(f208,plain,
( ~ sP29
| e20 != op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e20 = op2(e20,e20)
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e20,e20)
| e20 = op2(e20,e20) ) )
| ~ sP29 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2331,plain,
~ spl72_218,
inference(avatar_split_clause,[],[f205,f1865]) ).
fof(f205,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2330,plain,
( spl72_86
| spl72_287
| spl72_23
| spl72_4 ),
inference(avatar_split_clause,[],[f191,f872,f954,f2327,f1242]) ).
fof(f191,plain,
( e21 = op2(e22,e20)
| e20 = op2(e22,e20)
| e23 = op2(e22,e20)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2325,plain,
( spl72_20
| ~ spl72_50 ),
inference(avatar_split_clause,[],[f467,f1075,f941]) ).
fof(f467,plain,
( ~ sP44
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f141]) ).
fof(f2324,plain,
( ~ spl72_178
| spl72_185 ),
inference(avatar_split_clause,[],[f265,f1699,f1666]) ).
fof(f265,plain,
( op2(e20,e20) = e23
| ~ sP18 ),
inference(cnf_transformation,[],[f107]) ).
fof(f2321,plain,
( ~ spl72_132
| spl72_76 ),
inference(avatar_split_clause,[],[f552,f1196,f1442]) ).
fof(f552,plain,
( e10 = op1(e10,e13)
| ~ sP30 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13)
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2319,plain,
( spl72_58
| spl72_73
| spl72_86
| spl72_35 ),
inference(avatar_split_clause,[],[f2318,f1007,f1242,f1182,f1114]) ).
fof(f2318,plain,
( e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| e22 = op2(e22,e23)
| e22 = h3(e11) ),
inference(forward_demodulation,[],[f643,f720]) ).
fof(f643,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2317,plain,
( spl72_41
| ~ spl72_90
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f418,f1574,f1260,f1033]) ).
fof(f418,plain,
( op1(e10,e10) != e12
| ~ sP54
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f131]) ).
fof(f2316,plain,
( spl72_184
| spl72_10
| spl72_59
| spl72_178
| spl72_87
| spl72_176
| spl72_72
| spl72_9
| spl72_183
| spl72_182
| spl72_131
| spl72_15
| spl72_186
| spl72_188
| spl72_187
| spl72_165 ),
inference(avatar_split_clause,[],[f2315,f1595,f1707,f1711,f1703,f920,f1437,f1687,f1691,f893,f1178,f1655,f1246,f1666,f1118,f898,f1695]) ).
fof(f893,plain,
( spl72_9
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).
fof(f1703,plain,
( spl72_186
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_186])]) ).
fof(f2315,plain,
( sP17
| sP29
| sP23
| sP25
| sP24
| sP16
| sP15
| sP27
| sP28
| sP20
| sP21
| sP19
| sP18
| e23 = h3(e11)
| sP22
| sP26 ),
inference(forward_demodulation,[],[f381,f720]) ).
fof(f381,plain,
( sP27
| sP19
| sP16
| sP18
| sP24
| sP15
| sP17
| sP29
| e23 = op2(e22,e22)
| sP26
| sP23
| sP20
| sP22
| sP21
| sP28
| sP25 ),
inference(cnf_transformation,[],[f51]) ).
fof(f2314,plain,
~ spl72_263,
inference(avatar_split_clause,[],[f2313,f2118]) ).
fof(f2118,plain,
( spl72_263
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_263])]) ).
fof(f2313,plain,
~ sP71,
inference(subsumption_resolution,[],[f569,f2065]) ).
fof(f569,plain,
( e23 != h3(e13)
| ~ sP71 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e11) )
| ~ sP71 ),
inference(nnf_transformation,[],[f94]) ).
fof(f2311,plain,
( spl72_285
| spl72_67
| spl72_226
| spl72_85 ),
inference(avatar_split_clause,[],[f194,f1236,f1904,f1155,f2294]) ).
fof(f194,plain,
( e21 = op2(e20,e22)
| e22 = op2(e20,e22)
| e20 = op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2309,plain,
( spl72_185
| spl72_47
| spl72_193
| spl72_53 ),
inference(avatar_split_clause,[],[f193,f1088,f1737,f1062,f1699]) ).
fof(f193,plain,
( e20 = op2(e20,e20)
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f3]) ).
fof(f2308,plain,
( spl72_86
| ~ spl72_52 ),
inference(avatar_split_clause,[],[f351,f1084,f1242]) ).
fof(f351,plain,
( ~ sP3
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f122]) ).
fof(f2307,plain,
( spl72_223
| spl72_243
| spl72_50
| spl72_132
| spl72_219
| spl72_45
| spl72_18
| spl72_242
| ~ spl72_41
| spl72_241
| spl72_246
| ~ spl72_161
| spl72_244
| spl72_134
| spl72_156
| spl72_245
| spl72_238 ),
inference(avatar_split_clause,[],[f555,f1972,f2007,f1548,f1451,f2003,f1574,f2011,f1991,f1033,f1995,f933,f1051,f1870,f1442,f1075,f1999,f1889]) ).
fof(f555,plain,
( sP36
| sP41
| sP33
| sP34
| sP31
| op1(e10,e10) != e12
| sP42
| sP38
| e10 != op1(e10,e12)
| sP39
| sP40
| sP43
| sP37
| sP30
| sP44
| sP35
| sP32 ),
inference(cnf_transformation,[],[f82]) ).
fof(f2305,plain,
( spl72_253
| ~ spl72_87
| ~ spl72_126 ),
inference(avatar_split_clause,[],[f259,f1414,f1246,f2067]) ).
fof(f259,plain,
( e20 != op2(e21,e21)
| ~ sP19
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f106]) ).
fof(f2303,plain,
( spl72_133
| spl72_92
| spl72_161
| spl72_286 ),
inference(avatar_split_clause,[],[f676,f2300,f1574,f1269,f1447]) ).
fof(f676,plain,
( e12 = op1(e10,e13)
| op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2297,plain,
( spl72_285
| spl72_227
| spl72_185
| spl72_190 ),
inference(avatar_split_clause,[],[f661,f1722,f1699,f1909,f2294]) ).
fof(f661,plain,
( e23 = op2(e20,e21)
| op2(e20,e20) = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2265,plain,
( spl72_234
| ~ spl72_236 ),
inference(avatar_split_clause,[],[f409,f1960,f1951]) ).
fof(f409,plain,
( ~ sP56
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e12 = op1(e11,e11)
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ) )
| ~ sP56 ),
inference(nnf_transformation,[],[f78]) ).
fof(f2264,plain,
( spl72_282
| spl72_37
| spl72_14
| spl72_95 ),
inference(avatar_split_clause,[],[f678,f1283,f915,f1016,f2261]) ).
fof(f678,plain,
( op1(e10,e10) = e11
| e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2258,plain,
( ~ spl72_278
| ~ spl72_196
| ~ spl72_198
| ~ spl72_203
| ~ spl72_199
| ~ spl72_279
| ~ spl72_201
| spl72_197
| ~ spl72_200
| spl72_204
| ~ spl72_210
| ~ spl72_208
| ~ spl72_280
| ~ spl72_213
| ~ spl72_206
| ~ spl72_211
| spl72_159
| ~ spl72_202
| ~ spl72_209
| ~ spl72_281 ),
inference(avatar_split_clause,[],[f2241,f2255,f1813,f1785,f1564,f1821,f1801,f1829,f2251,f1809,f1817,f1793,f1777,f1765,f1781,f2247,f1773,f1789,f1769,f1761,f2243]) ).
fof(f2241,plain,
( e22 != h4(e13)
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP65
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(e11) != h4(op1(e12,e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| sP63
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| sP64
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(e13) != h4(op1(e12,e11)) ),
inference(forward_demodulation,[],[f2240,f2192]) ).
fof(f2240,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| e22 != h4(e13)
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| sP63
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| sP64
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(e11) != h4(op1(e12,e12))
| sP65 ),
inference(forward_demodulation,[],[f2239,f382]) ).
fof(f2239,plain,
( sP63
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| op2(e23,e23) != h4(op1(e12,e12))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| sP65
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| e22 != h4(e13)
| h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| sP64
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[],[f2238,f383]) ).
fof(f2238,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| e22 != h4(e13)
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| sP63
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP65
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| sP64
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e13)) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[],[f2237,f383]) ).
fof(f2237,plain,
( sP63
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| e22 != h4(e13)
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| sP65
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| sP64 ),
inference(forward_demodulation,[],[f2236,f383]) ).
fof(f2236,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP64
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| sP65
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP63
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| e22 != h4(e13) ),
inference(forward_demodulation,[],[f2235,f383]) ).
fof(f2235,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP65
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| e22 != h4(e13)
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP63
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| sP64
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[],[f2234,f2191]) ).
fof(f2234,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| e22 != h4(e13)
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP65
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| sP63
| sP64
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[],[f2233,f383]) ).
fof(f2233,plain,
( h4(op1(e12,e13)) != op2(e23,h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP65
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP64
| e22 != h4(e13)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP63 ),
inference(forward_demodulation,[],[f2232,f383]) ).
fof(f2232,plain,
( sP63
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP65
| e22 != h4(e13)
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP64
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[],[f619,f383]) ).
fof(f619,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| sP65
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP64
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| e22 != h4(e13)
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP63
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f2229,plain,
( spl72_18
| spl72_238
| spl72_219
| spl72_45
| spl72_245
| spl72_246
| spl72_132
| spl72_242
| spl72_50
| spl72_134
| spl72_223
| spl72_241
| spl72_156
| spl72_244
| spl72_243
| ~ spl72_44 ),
inference(avatar_split_clause,[],[f841,f1047,f1999,f2003,f1548,f1991,f1889,f1451,f1075,f1995,f1442,f2011,f2007,f1051,f1870,f1972,f933]) ).
fof(f841,plain,
( e10 != op1(e10,e10)
| sP35
| sP31
| sP33
| sP38
| sP32
| sP34
| sP44
| sP39
| sP30
| sP42
| sP41
| sP43
| sP37
| sP36
| sP40 ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f559,plain,
( sP33
| sP36
| sP32
| sP44
| e10 != op1(e10,e10)
| sP43
| sP42
| sP40
| sP30
| sP35
| e10 != op1(e10,e10)
| sP41
| sP31
| sP38
| sP37
| sP39
| sP34 ),
inference(cnf_transformation,[],[f82]) ).
fof(f2223,plain,
( ~ spl72_56
| spl72_263
| ~ spl72_255
| ~ spl72_258
| ~ spl72_256
| spl72_64
| ~ spl72_271
| ~ spl72_266
| ~ spl72_261
| ~ spl72_270
| ~ spl72_260
| ~ spl72_265
| ~ spl72_267
| ~ spl72_259
| spl72_192
| ~ spl72_277
| ~ spl72_257
| ~ spl72_262
| ~ spl72_268
| ~ spl72_269 ),
inference(avatar_split_clause,[],[f2218,f2142,f2138,f2114,f2094,f2220,f1731,f2102,f2134,f2126,f2106,f2146,f2110,f2130,f2150,f1140,f2090,f2098,f2086,f2118,f1106]) ).
fof(f1140,plain,
( spl72_64
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_64])]) ).
fof(f2218,plain,
( h3(e10) != h3(op1(e11,e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h4(e11) != h3(op1(e13,e13))
| sP69
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| sP70
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),e23)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| sP71
| e21 != h3(e11) ),
inference(forward_demodulation,[],[f2217,f382]) ).
fof(f2217,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| sP70
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| e21 != h3(e11)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| sP69
| h3(e10) != h3(op1(e11,e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| sP71
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),e23)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[],[f2216,f2065]) ).
fof(f2216,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| sP70
| sP71
| h3(e10) != h3(op1(e11,e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),e23)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| sP69
| op2(e23,e23) != h3(op1(e13,e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| e21 != h3(e11)
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23) ),
inference(forward_demodulation,[],[f2215,f2065]) ).
fof(f2215,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| sP71
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(e10) != h3(op1(e11,e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| sP70
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| e21 != h3(e11)
| op2(e23,e23) != h3(op1(e13,e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| sP69
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(forward_demodulation,[],[f2214,f2065]) ).
fof(f2214,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| sP69
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(e10) != h3(op1(e11,e11))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| e21 != h3(e11)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| sP70
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| sP71
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[],[f2213,f1583]) ).
fof(f2213,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| sP71
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| sP70
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| sP69
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| e21 != h3(e11) ),
inference(forward_demodulation,[],[f2212,f2065]) ).
fof(f2212,plain,
( e21 != h3(e11)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| sP70
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| sP71
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| sP69 ),
inference(forward_demodulation,[],[f2211,f2065]) ).
fof(f2211,plain,
( sP70
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| e21 != h3(e11)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| sP71
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| sP69
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[],[f2210,f2065]) ).
fof(f2210,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| sP71
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| e21 != h3(e11)
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| sP70
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| sP69
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(forward_demodulation,[],[f626,f2065]) ).
fof(f626,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| sP71
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| e21 != h3(e11)
| sP70
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| sP69
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f2209,plain,
( ~ spl72_246
| spl72_66 ),
inference(avatar_split_clause,[],[f478,f1149,f2011]) ).
fof(f478,plain,
( e12 = op1(e12,e11)
| ~ sP42 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e12 = op1(e11,e12)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e12 = op1(e12,e11)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) ) )
| ~ sP42 ),
inference(nnf_transformation,[],[f64]) ).
fof(f2208,plain,
( spl72_77
| spl72_276
| spl72_163
| spl72_221 ),
inference(avatar_split_clause,[],[f675,f1880,f1585,f2205,f1200]) ).
fof(f675,plain,
( e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2197,plain,
( spl72_179
| ~ spl72_124 ),
inference(avatar_split_clause,[],[f333,f1403,f1673]) ).
fof(f333,plain,
( ~ sP6
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f119]) ).
fof(f2194,plain,
( ~ spl72_88
| spl72_167 ),
inference(avatar_split_clause,[],[f286,f1604,f1251]) ).
fof(f286,plain,
( e20 = op2(e23,e20)
| ~ sP14 ),
inference(cnf_transformation,[],[f111]) ).
fof(f2189,plain,
( ~ spl72_169
| ~ spl72_186
| spl72_170 ),
inference(avatar_split_clause,[],[f226,f1617,f1703,f1613]) ).
fof(f226,plain,
( e23 = op2(e23,e22)
| ~ sP25
| e22 != op2(e23,e23) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e22 = op2(e23,e23)
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2185,plain,
( spl72_48
| ~ spl72_165
| ~ spl72_47 ),
inference(avatar_split_clause,[],[f268,f1062,f1595,f1066]) ).
fof(f268,plain,
( op2(e20,e20) != e21
| ~ sP17
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f108]) ).
fof(f2184,plain,
( ~ spl72_159
| ~ spl72_274 ),
inference(avatar_split_clause,[],[f590,f2181,f1564]) ).
fof(f590,plain,
( e20 != h4(e11)
| ~ sP65 ),
inference(cnf_transformation,[],[f162]) ).
fof(f2178,plain,
( spl72_60
| spl72_76
| spl72_164
| spl72_75 ),
inference(avatar_split_clause,[],[f684,f1191,f1589,f1196,f1123]) ).
fof(f684,plain,
( e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e10,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2167,plain,
( spl72_14
| spl72_174
| spl72_221
| spl72_273 ),
inference(avatar_split_clause,[],[f702,f2164,f1880,f1645,f915]) ).
fof(f702,plain,
( e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2159,plain,
( ~ spl72_134
| spl72_249 ),
inference(avatar_split_clause,[],[f525,f2037,f1451]) ).
fof(f525,plain,
( e12 = op1(e12,e10)
| ~ sP34 ),
inference(cnf_transformation,[],[f151]) ).
fof(f2071,plain,
( ~ spl72_78
| spl72_19 ),
inference(avatar_split_clause,[],[f450,f937,f1204]) ).
fof(f450,plain,
( e13 = op1(e12,e12)
| ~ sP47 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& e13 = op1(e12,e12) )
| ~ sP47 ),
inference(nnf_transformation,[],[f69]) ).
fof(f2063,plain,
( spl72_89
| spl72_252
| spl72_51
| spl72_97 ),
inference(avatar_split_clause,[],[f715,f1292,f1079,f2060,f1256]) ).
fof(f715,plain,
( e10 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2052,plain,
spl72_144,
inference(avatar_split_clause,[],[f389,f1496]) ).
fof(f389,plain,
e21 = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f2051,plain,
( spl72_225
| spl72_73
| spl72_169
| spl72_177 ),
inference(avatar_split_clause,[],[f635,f1660,f1613,f1182,f1900]) ).
fof(f635,plain,
( e22 = op2(e21,e23)
| e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2049,plain,
( spl72_90
| spl72_12
| spl72_232
| spl72_128
| spl72_32
| spl72_78
| spl72_236
| spl72_79
| spl72_172
| spl72_248
| spl72_65
| spl72_94
| ~ spl72_164
| spl72_250
| spl72_163
| spl72_231
| spl72_171 ),
inference(avatar_split_clause,[],[f564,f1622,f1932,f1585,f2041,f1589,f1279,f1145,f2024,f1632,f1209,f1960,f1204,f994,f1423,f1939,f907,f1260]) ).
fof(f564,plain,
( sP46
| sP48
| e13 = op1(e13,e10)
| sP50
| e10 != op1(e13,e13)
| sP55
| sP45
| sP58
| sP49
| sP57
| sP56
| sP47
| sP59
| sP51
| sP52
| sP53
| sP54 ),
inference(cnf_transformation,[],[f82]) ).
fof(f2034,plain,
( ~ spl72_55
| ~ spl72_175 ),
inference(avatar_split_clause,[],[f846,f1650,f1097]) ).
fof(f846,plain,
( e23 != op2(e23,e23)
| ~ sP1 ),
inference(duplicate_literal_removal,[],[f361]) ).
fof(f361,plain,
( e23 != op2(e23,e23)
| ~ sP1
| e23 != op2(e23,e23) ),
inference(cnf_transformation,[],[f124]) ).
fof(f2033,plain,
spl72_56,
inference(avatar_split_clause,[],[f2032,f1106]) ).
fof(f2032,plain,
e21 = h3(e11),
inference(forward_demodulation,[],[f777,f720]) ).
fof(f777,plain,
e21 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f2028,plain,
( spl72_169
| ~ spl72_186 ),
inference(avatar_split_clause,[],[f230,f1703,f1613]) ).
fof(f230,plain,
( ~ sP25
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f100]) ).
fof(f2027,plain,
( ~ spl72_13
| ~ spl72_248
| spl72_14 ),
inference(avatar_split_clause,[],[f397,f915,f2024,f911]) ).
fof(f397,plain,
( e11 = op1(e11,e10)
| ~ sP58
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f2014,plain,
( spl72_241
| spl72_223
| spl72_242
| spl72_243
| spl72_50
| spl72_244
| spl72_219
| spl72_91
| spl72_245
| spl72_132
| spl72_246
| spl72_18
| spl72_45
| spl72_238
| spl72_134
| spl72_156 ),
inference(avatar_split_clause,[],[f556,f1548,f1451,f1972,f1051,f933,f2011,f1442,f2007,f1265,f1870,f2003,f1075,f1999,f1995,f1889,f1991]) ).
fof(f556,plain,
( sP33
| sP34
| sP36
| sP43
| sP40
| sP42
| sP30
| sP41
| e11 = op1(e10,e11)
| sP37
| sP31
| sP44
| sP35
| sP39
| sP32
| sP38 ),
inference(cnf_transformation,[],[f82]) ).
fof(f1988,plain,
( ~ spl72_197
| ~ spl72_240 ),
inference(avatar_split_clause,[],[f597,f1985,f1765]) ).
fof(f597,plain,
( e21 != h4(e13)
| ~ sP64 ),
inference(cnf_transformation,[],[f163]) ).
fof(f1983,plain,
( spl72_239
| spl72_68
| spl72_170
| spl72_84 ),
inference(avatar_split_clause,[],[f187,f1232,f1617,f1159,f1980]) ).
fof(f187,plain,
( e21 = op2(e23,e22)
| e23 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1978,plain,
( ~ spl72_175
| ~ spl72_88 ),
inference(avatar_split_clause,[],[f847,f1251,f1650]) ).
fof(f847,plain,
( ~ sP14
| e23 != op2(e23,e23) ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f285,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP14 ),
inference(cnf_transformation,[],[f111]) ).
fof(f1977,plain,
( spl72_170
| spl72_17
| spl72_54
| spl72_175 ),
inference(avatar_split_clause,[],[f657,f1650,f1093,f928,f1617]) ).
fof(f657,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1976,plain,
( spl72_29
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f535,f1548,f981]) ).
fof(f535,plain,
( ~ sP33
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e10 = op1(e10,e11)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& e10 = op1(e11,e10)
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) ) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1975,plain,
( ~ spl72_238
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f848,f1419,f1972]) ).
fof(f848,plain,
( e13 != op1(e13,e13)
| ~ sP36 ),
inference(duplicate_literal_removal,[],[f515]) ).
fof(f515,plain,
( ~ sP36
| e13 != op1(e13,e13)
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f149]) ).
fof(f1970,plain,
( spl72_33
| spl72_237
| spl72_127
| spl72_164 ),
inference(avatar_split_clause,[],[f716,f1589,f1419,f1967,f998]) ).
fof(f716,plain,
( e10 = op1(e13,e13)
| e13 = op1(e13,e13)
| e11 = op1(e13,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1965,plain,
( ~ spl72_44
| ~ spl72_134 ),
inference(avatar_split_clause,[],[f849,f1451,f1047]) ).
fof(f849,plain,
( ~ sP34
| e10 != op1(e10,e10) ),
inference(duplicate_literal_removal,[],[f528]) ).
fof(f528,plain,
( e10 != op1(e10,e10)
| ~ sP34
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1964,plain,
( spl72_53
| ~ spl72_187 ),
inference(avatar_split_clause,[],[f210,f1707,f1088]) ).
fof(f210,plain,
( ~ sP29
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f96]) ).
fof(f1935,plain,
( ~ spl72_231
| ~ spl72_164
| spl72_163 ),
inference(avatar_split_clause,[],[f446,f1585,f1589,f1932]) ).
fof(f446,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP48 ),
inference(cnf_transformation,[],[f137]) ).
fof(f1929,plain,
( spl72_121
| spl72_5
| spl72_11
| spl72_180 ),
inference(avatar_split_clause,[],[f636,f1677,f902,f876,f1391]) ).
fof(f636,plain,
( e21 = op2(e20,e23)
| e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1928,plain,
( spl72_74
| ~ spl72_18 ),
inference(avatar_split_clause,[],[f494,f933,f1187]) ).
fof(f494,plain,
( ~ sP40
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e10 = op1(e12,e10)
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& e10 = op1(e10,e12)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) ) )
| ~ sP40 ),
inference(nnf_transformation,[],[f62]) ).
fof(f1927,plain,
( ~ spl72_118
| spl72_23 ),
inference(avatar_split_clause,[],[f299,f954,f1379]) ).
fof(f299,plain,
( e20 = op2(e22,e20)
| ~ sP11 ),
inference(cnf_transformation,[],[f114]) ).
fof(f1921,plain,
( spl72_229
| spl72_51
| spl72_133
| spl72_70 ),
inference(avatar_split_clause,[],[f679,f1168,f1447,f1079,f1918]) ).
fof(f679,plain,
( e12 = op1(e12,e12)
| e12 = op1(e10,e12)
| e12 = op1(e13,e12)
| e12 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1916,plain,
( spl72_175
| spl72_227
| spl72_83
| spl72_228 ),
inference(avatar_split_clause,[],[f654,f1913,f1226,f1909,f1650]) ).
fof(f654,plain,
( e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1907,plain,
( spl72_225
| spl72_193
| spl72_226
| spl72_36 ),
inference(avatar_split_clause,[],[f631,f1011,f1904,f1737,f1900]) ).
fof(f631,plain,
( e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| op2(e20,e20) = e22
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1893,plain,
( spl72_47
| ~ spl72_176 ),
inference(avatar_split_clause,[],[f250,f1655,f1062]) ).
fof(f250,plain,
( ~ sP21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f104]) ).
fof(f1887,plain,
( spl72_220
| spl72_221
| spl72_61
| spl72_222 ),
inference(avatar_split_clause,[],[f690,f1884,f1127,f1880,f1876]) ).
fof(f690,plain,
( e13 = op1(e11,e11)
| e13 = op1(e11,e13)
| e13 = op1(e11,e10)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1873,plain,
( ~ spl72_219
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f850,f1552,f1870]) ).
fof(f850,plain,
( e11 != op1(e11,e11)
| ~ sP37 ),
inference(duplicate_literal_removal,[],[f510]) ).
fof(f510,plain,
( e11 != op1(e11,e11)
| ~ sP37
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f148]) ).
fof(f1848,plain,
( spl72_215
| spl72_216
| spl72_93
| spl72_77 ),
inference(avatar_split_clause,[],[f687,f1200,f1273,f1845,f1841]) ).
fof(f687,plain,
( op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e12)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1839,plain,
( ~ spl72_12
| spl72_71 ),
inference(avatar_split_clause,[],[f423,f1172,f907]) ).
fof(f423,plain,
( e10 = op1(e12,e12)
| ~ sP53 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( ( e10 != op1(e12,e12)
| e12 = op1(e12,e10) )
& e10 = op1(e12,e12)
& ( e10 != op1(e13,e13)
| e13 = op1(e13,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ) )
| ~ sP53 ),
inference(nnf_transformation,[],[f75]) ).
fof(f1837,plain,
( ~ spl72_64
| ~ spl72_214 ),
inference(avatar_split_clause,[],[f570,f1834,f1140]) ).
fof(f570,plain,
( e20 != h3(e10)
| ~ sP70 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e10) )
| ~ sP70 ),
inference(nnf_transformation,[],[f93]) ).
fof(f1832,plain,
( ~ spl72_195
| ~ spl72_196
| spl72_159
| spl72_197
| ~ spl72_198
| ~ spl72_199
| ~ spl72_200
| ~ spl72_201
| ~ spl72_202
| ~ spl72_203
| spl72_204
| ~ spl72_205
| ~ spl72_206
| ~ spl72_207
| ~ spl72_208
| ~ spl72_209
| ~ spl72_210
| ~ spl72_211
| ~ spl72_212
| ~ spl72_213 ),
inference(avatar_split_clause,[],[f1755,f1829,f1825,f1821,f1817,f1813,f1809,f1805,f1801,f1797,f1793,f1789,f1785,f1781,f1777,f1773,f1769,f1765,f1564,f1761,f1757]) ).
fof(f1755,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| op2(e23,e23) != h4(op1(e12,e12))
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e13)) != op2(e23,h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| e22 != h4(e10)
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP63
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP64
| sP65
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e11)) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[],[f1754,f383]) ).
fof(f1754,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| op2(e23,e23) != h4(op1(e12,e12))
| e22 != h4(e10)
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| sP65
| sP63
| sP64
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[],[f1753,f383]) ).
fof(f1753,plain,
( sP64
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| sP63
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP65
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| e22 != h4(e10)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[],[f1752,f383]) ).
fof(f1752,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| sP63
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| sP65
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP64
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| e22 != h4(e10)
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[],[f1751,f383]) ).
fof(f1751,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| sP65
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| e22 != h4(e10)
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP64
| h4(op1(e13,e12)) != op2(h4(e13),e23)
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| sP63
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[],[f1750,f383]) ).
fof(f1750,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| e22 != h4(e10)
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP63
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP65
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP64
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[],[f1749,f383]) ).
fof(f1749,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP64
| sP65
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| e22 != h4(e10)
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP63
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[],[f621,f383]) ).
fof(f621,plain,
( sP65
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| sP64
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP63
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| e22 != h4(e10)
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f1746,plain,
( spl72_167
| spl72_162
| spl72_16
| spl72_68 ),
inference(avatar_split_clause,[],[f639,f1159,f924,f1579,f1604]) ).
fof(f639,plain,
( e20 = op2(e23,e22)
| e20 = op2(e23,e23)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1745,plain,
( spl72_167
| spl72_23
| spl72_194
| spl72_53 ),
inference(avatar_split_clause,[],[f650,f1088,f1742,f954,f1604]) ).
fof(f650,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1725,plain,
( spl72_36
| spl72_190
| spl72_179
| spl72_48 ),
inference(avatar_split_clause,[],[f199,f1066,f1673,f1722,f1011]) ).
fof(f199,plain,
( e20 = op2(e20,e21)
| e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1719,plain,
( spl72_20
| spl72_189
| spl72_75
| spl72_40 ),
inference(avatar_split_clause,[],[f704,f1028,f1191,f1716,f941]) ).
fof(f704,plain,
( e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e13 = op1(e12,e13)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1714,plain,
( spl72_43
| spl72_182
| spl72_87
| spl72_15
| spl72_183
| spl72_184
| ~ spl72_185
| spl72_10
| spl72_186
| spl72_187
| spl72_178
| spl72_176
| spl72_9
| spl72_72
| spl72_131
| spl72_165
| spl72_188 ),
inference(avatar_split_clause,[],[f377,f1711,f1595,f1437,f1178,f893,f1655,f1666,f1707,f1703,f898,f1699,f1695,f1691,f920,f1246,f1687,f1042]) ).
fof(f377,plain,
( sP23
| sP17
| sP16
| sP20
| sP28
| sP21
| sP18
| sP29
| sP25
| sP22
| op2(e20,e20) != e23
| sP26
| sP27
| sP24
| sP19
| sP15
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1680,plain,
( spl72_179
| spl72_85
| spl72_47
| spl72_180 ),
inference(avatar_split_clause,[],[f655,f1677,f1062,f1236,f1673]) ).
fof(f655,plain,
( e21 = op2(e20,e23)
| op2(e20,e20) = e21
| e21 = op2(e20,e22)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1663,plain,
( spl72_42
| spl72_177
| spl72_83
| spl72_121 ),
inference(avatar_split_clause,[],[f184,f1391,f1226,f1660,f1038]) ).
fof(f184,plain,
( e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1658,plain,
( ~ spl72_176
| ~ spl72_47
| spl72_48 ),
inference(avatar_split_clause,[],[f249,f1066,f1062,f1655]) ).
fof(f249,plain,
( e20 = op2(e20,e21)
| op2(e20,e20) != e21
| ~ sP21 ),
inference(cnf_transformation,[],[f104]) ).
fof(f1648,plain,
( spl72_160
| spl72_74
| spl72_44
| spl72_174 ),
inference(avatar_split_clause,[],[f686,f1645,f1047,f1187,f1569]) ).
fof(f686,plain,
( e10 = op1(e11,e10)
| e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1643,plain,
spl72_173,
inference(avatar_split_clause,[],[f696,f1639]) ).
fof(f696,plain,
e20 = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f1642,plain,
( ~ spl72_101
| ~ spl72_173 ),
inference(avatar_split_clause,[],[f584,f1639,f1310]) ).
fof(f584,plain,
( e20 != h1(e12)
| ~ sP67 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| ~ sP67 ),
inference(nnf_transformation,[],[f90]) ).
fof(f1637,plain,
( ~ spl72_124
| ~ spl72_53 ),
inference(avatar_split_clause,[],[f851,f1088,f1403]) ).
fof(f851,plain,
( e20 != op2(e20,e20)
| ~ sP6 ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f334,plain,
( ~ sP6
| e20 != op2(e20,e20)
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f119]) ).
fof(f1635,plain,
( ~ spl72_38
| ~ spl72_172
| spl72_66 ),
inference(avatar_split_clause,[],[f441,f1149,f1632,f1020]) ).
fof(f441,plain,
( e12 = op1(e12,e11)
| ~ sP49
| e11 != op1(e12,e12) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& op1(e10,e10) = e11 )
| ~ sP49 ),
inference(nnf_transformation,[],[f71]) ).
fof(f1628,plain,
( spl72_67
| spl72_53
| spl72_48
| spl72_43 ),
inference(avatar_split_clause,[],[f656,f1042,f1066,f1088,f1155]) ).
fof(f656,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1625,plain,
( spl72_76
| ~ spl72_77
| ~ spl72_171 ),
inference(avatar_split_clause,[],[f457,f1622,f1200,f1196]) ).
fof(f457,plain,
( ~ sP46
| op1(e10,e10) != e13
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f139]) ).
fof(f1611,plain,
( spl72_166
| spl72_167
| spl72_17
| spl72_168 ),
inference(avatar_split_clause,[],[f198,f1608,f928,f1604,f1600]) ).
fof(f198,plain,
( e21 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1572,plain,
( spl72_160
| ~ spl72_132 ),
inference(avatar_split_clause,[],[f553,f1442,f1569]) ).
fof(f553,plain,
( ~ sP30
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f155]) ).
fof(f1539,plain,
( spl72_129
| ~ spl72_136
| ~ spl72_137
| ~ spl72_138
| ~ spl72_139
| ~ spl72_140
| ~ spl72_141
| ~ spl72_142
| ~ spl72_143
| ~ spl72_144
| ~ spl72_145
| ~ spl72_146
| spl72_147
| ~ spl72_148
| ~ spl72_149
| ~ spl72_150
| ~ spl72_151
| ~ spl72_152
| spl72_153
| ~ spl72_154 ),
inference(avatar_split_clause,[],[f616,f1536,f1532,f1528,f1524,f1520,f1516,f1512,f1508,f1504,f1500,f1496,f1492,f1488,f1484,f1480,f1476,f1472,f1468,f1464,f1428]) ).
fof(f616,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| sP60
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP61
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| e21 != h2(e12)
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP62 ),
inference(cnf_transformation,[],[f95]) ).
fof(f1455,plain,
( ~ spl72_49
| ~ spl72_53 ),
inference(avatar_split_clause,[],[f853,f1088,f1070]) ).
fof(f853,plain,
( e20 != op2(e20,e20)
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f298,plain,
( e20 != op2(e20,e20)
| ~ sP12
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f113]) ).
fof(f1454,plain,
( spl72_133
| ~ spl72_134 ),
inference(avatar_split_clause,[],[f530,f1451,f1447]) ).
fof(f530,plain,
( ~ sP34
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1445,plain,
( ~ spl72_132
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f854,f1419,f1442]) ).
fof(f854,plain,
( e13 != op1(e13,e13)
| ~ sP30 ),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f550,plain,
( e13 != op1(e13,e13)
| ~ sP30
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f155]) ).
fof(f1426,plain,
( spl72_127
| ~ spl72_128 ),
inference(avatar_split_clause,[],[f430,f1423,f1419]) ).
fof(f430,plain,
( ~ sP51
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f134]) ).
fof(f1295,plain,
( spl72_41
| spl72_96
| spl72_97
| spl72_71 ),
inference(avatar_split_clause,[],[f664,f1172,f1292,f1288,f1033]) ).
fof(f664,plain,
( e10 = op1(e12,e12)
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1276,plain,
( spl72_91
| spl72_29
| spl72_92
| spl72_93 ),
inference(avatar_split_clause,[],[f705,f1273,f1269,f981,f1265]) ).
fof(f705,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e10 = op1(e10,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1229,plain,
( spl72_80
| spl72_81
| spl72_82
| spl72_83 ),
inference(avatar_split_clause,[],[f648,f1226,f1222,f1218,f1214]) ).
fof(f648,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1212,plain,
( spl72_70
| ~ spl72_79 ),
inference(avatar_split_clause,[],[f403,f1209,f1168]) ).
fof(f403,plain,
( ~ sP57
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12)
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 = op1(e13,e12) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) ) )
| ~ sP57 ),
inference(nnf_transformation,[],[f79]) ).
fof(f1194,plain,
( spl72_74
| spl72_31
| spl72_71
| spl72_75 ),
inference(avatar_split_clause,[],[f666,f1191,f1172,f989,f1187]) ).
fof(f666,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1166,plain,
( spl72_67
| spl72_68
| spl72_57
| spl72_69 ),
inference(avatar_split_clause,[],[f1153,f1163,f1110,f1159,f1155]) ).
fof(f1153,plain,
( e20 = op2(e21,e22)
| e20 = h3(e11)
| e20 = op2(e23,e22)
| e20 = op2(e20,e22) ),
inference(forward_demodulation,[],[f647,f720]) ).
fof(f647,plain,
( e20 = op2(e20,e22)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1152,plain,
( ~ spl72_65
| ~ spl72_38
| spl72_66 ),
inference(avatar_split_clause,[],[f462,f1149,f1020,f1145]) ).
fof(f462,plain,
( e12 = op1(e12,e11)
| e11 != op1(e12,e12)
| ~ sP45 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& e11 = op1(e12,e12)
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP45 ),
inference(nnf_transformation,[],[f67]) ).
fof(f1138,plain,
( spl72_60
| spl72_61
| spl72_62
| spl72_63 ),
inference(avatar_split_clause,[],[f708,f1135,f1131,f1127,f1123]) ).
fof(f708,plain,
( e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e13 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1091,plain,
( ~ spl72_52
| ~ spl72_53 ),
inference(avatar_split_clause,[],[f855,f1088,f1084]) ).
fof(f855,plain,
( e20 != op2(e20,e20)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f349]) ).
fof(f349,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| ~ sP3 ),
inference(cnf_transformation,[],[f122]) ).
fof(f1082,plain,
( ~ spl72_50
| spl72_51 ),
inference(avatar_split_clause,[],[f468,f1079,f1075]) ).
fof(f468,plain,
( e12 = op1(e13,e12)
| ~ sP44 ),
inference(cnf_transformation,[],[f141]) ).
fof(f1054,plain,
( ~ spl72_44
| ~ spl72_45 ),
inference(avatar_split_clause,[],[f857,f1051,f1047]) ).
fof(f857,plain,
( ~ sP43
| e10 != op1(e10,e10) ),
inference(duplicate_literal_removal,[],[f474]) ).
fof(f474,plain,
( e10 != op1(e10,e10)
| ~ sP43
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f142]) ).
fof(f1036,plain,
( ~ spl72_18
| spl72_41 ),
inference(avatar_split_clause,[],[f492,f1033,f933]) ).
fof(f492,plain,
( e10 = op1(e10,e12)
| ~ sP40 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1001,plain,
( ~ spl72_32
| spl72_33 ),
inference(avatar_split_clause,[],[f391,f998,f994]) ).
fof(f391,plain,
( e12 = op1(e13,e13)
| ~ sP59 ),
inference(cnf_transformation,[],[f126]) ).
fof(f979,plain,
( ~ spl72_27
| spl72_28 ),
inference(avatar_split_clause,[],[f326,f976,f972]) ).
fof(f326,plain,
( e21 = op2(e23,e21)
| ~ sP7 ),
inference(cnf_transformation,[],[f118]) ).
fof(f970,plain,
( ~ spl72_25
| ~ spl72_26 ),
inference(avatar_split_clause,[],[f587,f967,f963]) ).
fof(f587,plain,
( ~ sP66
| e22 != h1(e13) ),
inference(cnf_transformation,[],[f161]) ).
fof(f961,plain,
( spl72_21
| spl72_22
| spl72_23
| spl72_24 ),
inference(avatar_split_clause,[],[f633,f958,f954,f950,f946]) ).
fof(f633,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f931,plain,
( ~ spl72_15
| ~ spl72_16
| spl72_17 ),
inference(avatar_split_clause,[],[f235,f928,f924,f920]) ).
fof(f235,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP24 ),
inference(cnf_transformation,[],[f101]) ).
fof(f905,plain,
( ~ spl72_10
| spl72_11 ),
inference(avatar_split_clause,[],[f243,f902,f898]) ).
fof(f243,plain,
( e21 = op2(e23,e23)
| ~ sP22 ),
inference(cnf_transformation,[],[f103]) ).
fof(f896,plain,
( spl72_8
| ~ spl72_9 ),
inference(avatar_split_clause,[],[f213,f893,f889]) ).
fof(f213,plain,
( ~ sP28
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& e22 = op2(e22,e22)
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) ) )
| ~ sP28 ),
inference(nnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG128+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 14:55:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.56 % (12239)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.57 % (12223)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (12233)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57 % (12225)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (12225)Instruction limit reached!
% 0.19/0.57 % (12225)------------------------------
% 0.19/0.57 % (12225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (12225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (12225)Termination reason: Unknown
% 0.19/0.57 % (12225)Termination phase: shuffling
% 0.19/0.57
% 0.19/0.57 % (12225)Memory used [KB]: 1023
% 0.19/0.57 % (12225)Time elapsed: 0.004 s
% 0.19/0.57 % (12225)Instructions burned: 3 (million)
% 0.19/0.57 % (12225)------------------------------
% 0.19/0.57 % (12225)------------------------------
% 0.19/0.57 % (12231)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.57 % (12241)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.58/0.59 % (12221)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.59 % (12222)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.58/0.59 % (12240)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.58/0.59 % (12245)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.58/0.60 % (12217)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.73/0.60 % (12229)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.73/0.60 % (12244)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.73/0.60 % (12242)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.73/0.60 % (12232)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.73/0.60 % (12220)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.61 % (12237)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.73/0.61 % (12218)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.61 % (12236)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.73/0.61 % (12243)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.73/0.61 % (12219)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.73/0.61 % (12234)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.73/0.62 % (12230)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.73/0.62 % (12228)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.73/0.62 % (12227)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.62 % (12238)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.73/0.62 % (12226)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.62 % (12224)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.73/0.62 % (12224)Instruction limit reached!
% 1.73/0.62 % (12224)------------------------------
% 1.73/0.62 % (12224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62 % (12224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62 % (12224)Termination reason: Unknown
% 1.73/0.62 % (12224)Termination phase: Naming
% 1.73/0.62
% 1.73/0.62 % (12224)Memory used [KB]: 1151
% 1.73/0.62 % (12224)Time elapsed: 0.005 s
% 1.73/0.62 % (12224)Instructions burned: 7 (million)
% 1.73/0.62 % (12224)------------------------------
% 1.73/0.62 % (12224)------------------------------
% 1.73/0.63 % (12246)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.94/0.63 % (12235)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.94/0.63 % (12223)Instruction limit reached!
% 1.94/0.63 % (12223)------------------------------
% 1.94/0.63 % (12223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.64 % (12223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.64 % (12223)Termination reason: Unknown
% 1.94/0.64 % (12223)Termination phase: Finite model building preprocessing
% 1.94/0.64
% 1.94/0.64 % (12223)Memory used [KB]: 2558
% 1.94/0.64 % (12223)Time elapsed: 0.025 s
% 1.94/0.64 % (12223)Instructions burned: 53 (million)
% 1.94/0.64 % (12223)------------------------------
% 1.94/0.64 % (12223)------------------------------
% 1.94/0.66 % (12220)Instruction limit reached!
% 1.94/0.66 % (12220)------------------------------
% 1.94/0.66 % (12220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66 % (12220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66 % (12220)Termination reason: Unknown
% 1.94/0.66 % (12220)Termination phase: 12220 Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/0.66 % (12220)------------------------------
% 1.94/0.66 % (12220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66 % (12220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66 % (12220)Termination reason: Unknown
% 1.94/0.66 % (12231)Instruction limit reached!
% 1.94/0.66 % (12231)------------------------------
% 1.94/0.66 % (12231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66 % (12231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66 % (12231)Termination reason: Unknown
% 1.94/0.66 % (12231)Termination phase: Saturation
% 1.94/0.66
% 1.94/0.66 % (12231)Memory used [KB]: 7164
% 1.94/0.66 % (12231)Time elapsed: 0.036 s
% 1.94/0.66 % (12231)Instructions burned: 68 (million)
% 1.94/0.66 % (12231)------------------------------
% 1.94/0.66 % (12231)------------------------------
% 1.94/0.67 % (12221)Instruction limit reached!
% 1.94/0.67 % (12221)------------------------------
% 1.94/0.67 % (12221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.67 % (12221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.67 % (12221)Termination reason: Unknown
% 1.94/0.67 % (12221)Termination phase: Saturation
% 1.94/0.67
% 1.94/0.67 % (12221)Memory used [KB]: 6652
% 1.94/0.67 % (12221)Time elapsed: 0.021 s
% 1.94/0.67 % (12221)Instructions burned: 51 (million)
% 1.94/0.67 % (12221)------------------------------
% 1.94/0.67 % (12221)------------------------------
% 1.94/0.67 % (12219)Instruction limit reached!
% 1.94/0.67 % (12219)------------------------------
% 1.94/0.67 % (12219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.67 % (12219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.67 % (12219)Termination reason: Unknown
% 1.94/0.67 % (12219)Termination phase: Saturation
% 1.94/0.67
% 1.94/0.67 % (12219)Memory used [KB]: 1407
% 1.94/0.67 % (12219)Time elapsed: 0.018 s
% 1.94/0.67 % (12219)Instructions burned: 37 (million)
% 1.94/0.67 % (12219)------------------------------
% 1.94/0.67 % (12219)------------------------------
% 1.94/0.68 % (12227)Instruction limit reached!
% 1.94/0.68 % (12227)------------------------------
% 1.94/0.68 % (12227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.68 % (12227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.68 % (12227)Termination reason: Unknown
% 1.94/0.68 % (12227)Termination phase: Saturation
% 1.94/0.68
% 1.94/0.68 % (12227)Memory used [KB]: 7036
% 1.94/0.68 % (12227)Time elapsed: 0.026 s
% 1.94/0.68 % (12227)Instructions burned: 50 (million)
% 1.94/0.68 % (12227)------------------------------
% 1.94/0.68 % (12227)------------------------------
% 1.94/0.68 % (12226)Instruction limit reached!
% 1.94/0.68 % (12226)------------------------------
% 1.94/0.68 % (12226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.68 % (12226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.68 % (12226)Termination reason: Unknown
% 1.94/0.68 % (12226)Termination phase: Saturation
% 1.94/0.68
% 1.94/0.68 % (12226)Memory used [KB]: 1535
% 1.94/0.68 % (12226)Time elapsed: 0.024 s
% 1.94/0.68 % (12226)Instructions burned: 51 (million)
% 1.94/0.68 % (12226)------------------------------
% 1.94/0.68 % (12226)------------------------------
% 1.94/0.68 % (12234)Instruction limit reached!
% 1.94/0.68 % (12234)------------------------------
% 1.94/0.68 % (12234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.69 % (12234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.69 % (12234)Termination reason: Unknown
% 1.94/0.69 % (12234)Termination phase: Finite model building preprocessing
% 1.94/0.69
% 1.94/0.69 % (12234)Memory used [KB]: 2046
% 1.94/0.69 % (12234)Time elapsed: 0.025 s
% 1.94/0.69 % (12234)Instructions burned: 59 (million)
% 1.94/0.69 % (12234)------------------------------
% 1.94/0.69 % (12234)------------------------------
% 1.94/0.69 % (12218)Instruction limit reached!
% 1.94/0.69 % (12218)------------------------------
% 1.94/0.69 % (12218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.69 % (12218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.69 % (12218)Termination reason: Unknown
% 1.94/0.69 % (12218)Termination phase: Saturation
% 1.94/0.69
% 1.94/0.69 % (12218)Memory used [KB]: 6908
% 1.94/0.69 % (12218)Time elapsed: 0.025 s
% 1.94/0.69 % (12218)Instructions burned: 50 (million)
% 1.94/0.69 % (12218)------------------------------
% 1.94/0.69 % (12218)------------------------------
% 1.94/0.69 % (12222)Instruction limit reached!
% 1.94/0.69 % (12222)------------------------------
% 1.94/0.69 % (12222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.69 % (12222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.69 % (12222)Termination reason: Unknown
% 1.94/0.69 % (12222)Termination phase: Saturation
% 1.94/0.69
% 1.94/0.69 % (12222)Memory used [KB]: 7036
% 1.94/0.69 % (12222)Time elapsed: 0.246 s
% 1.94/0.69 % (12222)Instructions burned: 49 (million)
% 1.94/0.69 % (12222)------------------------------
% 1.94/0.69 % (12222)------------------------------
% 1.94/0.70 % (12232)Instruction limit reached!
% 1.94/0.70 % (12232)------------------------------
% 1.94/0.70 % (12232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.72 % (12243)Instruction limit reached!
% 1.94/0.72 % (12243)------------------------------
% 1.94/0.72 % (12243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73 % (12232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73 % (12232)Termination reason: Unknown
% 2.61/0.73 % (12232)Termination phase: Saturation
% 2.61/0.73
% 2.61/0.73 % (12232)Memory used [KB]: 1791
% 2.61/0.73 % (12232)Time elapsed: 0.045 s
% 2.61/0.73 % (12232)Instructions burned: 76 (million)
% 2.61/0.73 % (12232)------------------------------
% 2.61/0.73 % (12232)------------------------------
% 2.61/0.73 % (12243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73 % (12243)Termination reason: Unknown
% 2.61/0.73 % (12243)Termination phase: Saturation
% 2.61/0.73
% 2.61/0.73 % (12243)Memory used [KB]: 7164
% 2.61/0.73 % (12243)Time elapsed: 0.037 s
% 2.61/0.73 % (12243)Instructions burned: 69 (million)
% 2.61/0.73 % (12243)------------------------------
% 2.61/0.73 % (12243)------------------------------
% 2.61/0.73 % (12236)Instruction limit reached!
% 2.61/0.73 % (12236)------------------------------
% 2.61/0.73 % (12236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73 % (12236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73 % (12236)Termination reason: Unknown
% 2.61/0.73 % (12236)Termination phase: Saturation
% 2.61/0.73
% 2.61/0.73 % (12236)Memory used [KB]: 1791
% 2.61/0.73 % (12236)Time elapsed: 0.291 s
% 2.61/0.73 % (12236)Instructions burned: 101 (million)
% 2.61/0.73 % (12236)------------------------------
% 2.61/0.73 % (12236)------------------------------
% 2.61/0.73 % (12233)Instruction limit reached!
% 2.61/0.73 % (12233)------------------------------
% 2.61/0.73 % (12233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73 % (12233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73 % (12233)Termination reason: Unknown
% 2.61/0.73 % (12233)Termination phase: Saturation
% 2.61/0.73
% 2.61/0.73 % (12233)Memory used [KB]: 7291
% 2.61/0.73 % (12233)Time elapsed: 0.287 s
% 2.61/0.73 % (12233)Instructions burned: 100 (million)
% 2.61/0.73 % (12233)------------------------------
% 2.61/0.73 % (12233)------------------------------
% 2.61/0.74 % (12228)Instruction limit reached!
% 2.61/0.74 % (12228)------------------------------
% 2.61/0.74 % (12228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.74 % (12249)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.61/0.75 % (12228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.75 % (12228)Termination reason: Unknown
% 2.61/0.75 % (12228)Termination phase: Saturation
% 2.61/0.75
% 2.61/0.75 % (12228)Memory used [KB]: 7675
% 2.61/0.75 % (12228)Time elapsed: 0.043 s
% 2.61/0.75 % (12228)Instructions burned: 102 (million)
% 2.61/0.75 % (12228)------------------------------
% 2.61/0.75 % (12228)------------------------------
% 2.61/0.75 % (12235)Instruction limit reached!
% 2.61/0.75 % (12235)------------------------------
% 2.61/0.75 % (12235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.75 % (12235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.75 % (12235)Termination reason: Unknown
% 2.61/0.75 % (12235)Termination phase: Saturation
% 2.61/0.75
% 2.61/0.75 % (12235)Memory used [KB]: 7803
% 2.61/0.75 % (12235)Time elapsed: 0.050 s
% 2.61/0.75 % (12235)Instructions burned: 100 (million)
% 2.61/0.75 % (12235)------------------------------
% 2.61/0.75 % (12235)------------------------------
% 2.61/0.76 % (12264)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.61/0.76 % (12229)Instruction limit reached!
% 2.61/0.76 % (12229)------------------------------
% 2.61/0.76 % (12229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.76 % (12229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.76 % (12229)Termination reason: Unknown
% 2.61/0.76 % (12229)Termination phase: Saturation
% 2.61/0.76
% 2.61/0.76 % (12229)Memory used [KB]: 7931
% 2.61/0.76 % (12229)Time elapsed: 0.307 s
% 2.61/0.76 % (12229)Instructions burned: 101 (million)
% 2.61/0.76 % (12229)------------------------------
% 2.61/0.76 % (12229)------------------------------
% 2.61/0.76 % (12271)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.61/0.78 % (12230)Instruction limit reached!
% 2.61/0.78 % (12230)------------------------------
% 2.61/0.78 % (12230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.79 TRYING [8]
% 2.61/0.79 % (12230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.79 % (12230)Termination reason: Unknown
% 2.61/0.79 % (12230)Termination phase: Saturation
% 2.61/0.79
% 2.61/0.79 % (12230)Memory used [KB]: 7803
% 2.61/0.79 % (12230)Time elapsed: 0.341 s
% 2.61/0.79 % (12230)Instructions burned: 100 (million)
% 2.61/0.79 % (12230)------------------------------
% 2.61/0.79 % (12230)------------------------------
% 2.92/0.79 % (12296)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.92/0.80 % (12282)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.92/0.80 % (12240)First to succeed.
% 2.92/0.80 % (12287)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.92/0.81 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.92/0.81 % (12298)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.92/0.81 % (12295)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.92/0.82 % (12290)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.92/0.82 % (12300)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.92/0.83 % (12297)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.92/0.84 % (12317)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.92/0.85 % (12238)Instruction limit reached!
% 2.92/0.85 % (12238)------------------------------
% 2.92/0.85 % (12238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.85 % (12238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.85 % (12238)Termination reason: Unknown
% 2.92/0.85 % (12238)Termination phase: Saturation
% 2.92/0.85
% 2.92/0.85 % (12238)Memory used [KB]: 7931
% 2.92/0.85 % (12238)Time elapsed: 0.080 s
% 2.92/0.85 % (12238)Instructions burned: 139 (million)
% 2.92/0.85 % (12238)------------------------------
% 2.92/0.85 % (12238)------------------------------
% 2.92/0.85 % (12333)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.92/0.85 % (12244)Instruction limit reached!
% 2.92/0.85 % (12244)------------------------------
% 2.92/0.85 % (12244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.86 % (12319)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.92/0.86 % (12318)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.92/0.86 % (12296)Instruction limit reached!
% 2.92/0.86 % (12296)------------------------------
% 2.92/0.86 % (12296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.86 % (12296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.86 % (12296)Termination reason: Unknown
% 2.92/0.86 % (12296)Termination phase: Saturation
% 2.92/0.86
% 2.92/0.86 % (12296)Memory used [KB]: 7164
% 2.92/0.86 % (12296)Time elapsed: 0.029 s
% 2.92/0.86 % (12296)Instructions burned: 68 (million)
% 2.92/0.86 % (12296)------------------------------
% 2.92/0.86 % (12296)------------------------------
% 3.20/0.87 % (12244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.87 % (12244)Termination reason: Unknown
% 3.20/0.87 % (12244)Termination phase: Saturation
% 3.20/0.87
% 3.20/0.87 % (12244)Memory used [KB]: 2430
% 3.20/0.87 % (12244)Time elapsed: 0.413 s
% 3.20/0.87 % (12244)Instructions burned: 178 (million)
% 3.20/0.87 % (12244)------------------------------
% 3.20/0.87 % (12244)------------------------------
% 3.20/0.87 % (12271)Instruction limit reached!
% 3.20/0.87 % (12271)------------------------------
% 3.20/0.87 % (12271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.87 % (12271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.87 % (12271)Termination reason: Unknown
% 3.20/0.87 % (12271)Termination phase: Saturation
% 3.20/0.87
% 3.20/0.87 % (12271)Memory used [KB]: 7291
% 3.20/0.87 % (12271)Time elapsed: 0.185 s
% 3.20/0.87 % (12271)Instructions burned: 92 (million)
% 3.20/0.87 % (12271)------------------------------
% 3.20/0.87 % (12271)------------------------------
% 3.20/0.87 % (12340)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.20/0.87 % (12320)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.20/0.88 % (12240)Refutation found. Thanks to Tanya!
% 3.20/0.88 % SZS status Theorem for theBenchmark
% 3.20/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.20/0.90 % (12240)------------------------------
% 3.20/0.90 % (12240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.90 % (12240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.90 % (12240)Termination reason: Refutation
% 3.20/0.90
% 3.20/0.90 % (12240)Memory used [KB]: 9210
% 3.20/0.90 % (12240)Time elapsed: 0.119 s
% 3.20/0.90 % (12240)Instructions burned: 170 (million)
% 3.20/0.90 % (12240)------------------------------
% 3.20/0.90 % (12240)------------------------------
% 3.20/0.90 % (12216)Success in time 0.561 s
%------------------------------------------------------------------------------