TSTP Solution File: ALG128+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ALG128+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 04:07:02 EDT 2024
% Result : Theorem 1.73s 0.63s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 372
% Syntax : Number of formulae : 2206 ( 78 unt; 0 def)
% Number of atoms : 9710 (4387 equ)
% Maximal formula atoms : 304 ( 4 avg)
% Number of connectives : 13176 (5672 ~;5883 |;1337 &)
% ( 284 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 358 ( 356 usr; 357 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7893,plain,
$false,
inference(avatar_sat_refutation,[],[f866,f881,f890,f900,f924,f929,f943,f972,f1001,f1025,f1039,f1068,f1082,f1092,f1121,f1135,f1219,f1298,f1382,f1466,f1476,f1482,f1483,f1484,f1485,f1502,f1515,f1532,f1545,f1562,f1575,f1605,f1618,f1640,f1649,f1684,f1693,f1707,f1716,f1721,f1730,f1735,f1754,f1755,f1760,f1761,f1766,f1767,f1772,f1773,f1806,f1819,f1836,f1849,f1866,f1879,f1896,f1909,f1944,f1953,f1988,f1997,f2011,f2020,f2025,f2034,f2039,f2058,f2059,f2065,f2070,f2071,f2076,f2077,f2080,f2085,f2089,f2093,f2102,f2111,f2112,f2113,f2121,f2122,f2123,f2128,f2132,f2133,f2143,f2153,f2161,f2162,f2163,f2168,f2169,f2173,f2182,f2193,f2198,f2201,f2202,f2203,f2208,f2210,f2212,f2213,f2222,f2223,f2233,f2241,f2243,f2248,f2251,f2257,f2264,f2266,f2275,f2283,f2289,f2299,f2307,f2315,f2323,f2328,f2330,f2338,f2339,f2344,f2346,f2347,f2353,f2362,f2363,f2364,f2365,f2369,f2372,f2373,f2382,f2383,f2393,f2401,f2402,f2403,f2408,f2412,f2413,f2423,f2433,f2441,f2442,f2443,f2448,f2449,f2452,f2453,f2462,f2473,f2481,f2482,f2483,f2488,f2492,f2493,f2502,f2503,f2513,f2521,f2523,f2528,f2531,f2537,f2544,f2546,f2555,f2563,f2569,f2579,f2587,f2595,f2603,f2608,f2610,f2618,f2619,f2627,f2633,f2642,f2643,f2644,f2649,f2652,f2653,f2654,f2655,f2662,f2669,f2684,f2692,f2699,f2703,f2712,f2730,f2739,f2746,f2749,f2759,f2770,f2779,f2787,f2794,f2803,f2813,f2822,f2833,f2836,f2845,f2863,f2872,f2879,f2884,f2887,f2896,f2907,f2916,f2919,f2933,f2948,f2952,f2974,f2987,f2996,f3005,f3035,f3068,f3079,f3096,f3104,f3112,f3123,f3143,f3156,f3165,f3197,f3205,f3208,f3253,f3256,f3270,f3302,f3311,f3314,f3335,f3355,f3359,f3412,f3421,f3442,f3476,f3490,f3506,f3528,f3537,f3554,f3563,f3573,f3589,f3603,f3610,f3619,f3637,f3645,f3652,f3656,f3660,f3668,f3684,f3709,f3721,f3734,f3740,f3743,f3751,f3754,f3800,f3829,f3895,f3905,f3921,f3941,f4044,f4071,f4075,f4188,f4190,f4191,f4213,f4224,f4262,f4287,f4290,f4293,f4323,f4340,f4346,f4349,f4354,f4359,f4365,f4374,f4384,f4394,f4403,f4413,f4422,f4432,f4442,f4451,f4461,f4470,f4480,f4490,f4499,f4516,f4526,f4530,f4532,f4540,f4543,f4553,f4561,f4568,f4569,f4570,f4573,f4574,f4583,f4588,f4590,f4591,f4734,f4737,f4742,f4748,f4767,f4786,f4796,f4805,f4825,f4834,f4853,f4863,f4873,f4882,f4893,f4897,f4910,f4920,f4932,f4937,f4978,f4983,f4997,f5002,f5087,f5120,f5181,f5192,f5258,f5268,f5271,f5294,f5323,f5339,f5358,f5363,f5365,f5389,f5418,f5427,f5437,f5466,f5475,f5494,f5504,f5523,f5528,f5543,f5549,f5571,f5577,f5579,f5580,f5585,f5588,f5600,f5605,f5610,f5615,f5620,f5624,f5735,f5753,f5763,f5765,f5766,f5767,f5784,f5785,f5812,f5824,f5881,f5882,f5884,f5891,f5895,f5896,f5897,f5901,f5902,f5912,f5914,f6032,f6067,f6101,f6183,f6277,f6380,f6448,f6545,f6577,f6582,f6587,f6640,f6645,f6650,f6806,f6815,f6833,f6988,f6999,f7017,f7022,f7032,f7041,f7051,f7060,f7070,f7079,f7089,f7099,f7108,f7313,f7344,f7347,f7353,f7387,f7392,f7397,f7402,f7407,f7411,f7416,f7538,f7555,f7587,f7675,f7685,f7699,f7708,f7724,f7730,f7739,f7752,f7762,f7789,f7802,f7821,f7837]) ).
fof(f7837,plain,
( ~ spl72_117
| ~ spl72_24
| ~ spl72_30
| ~ spl72_38
| ~ spl72_44
| spl72_85
| ~ spl72_97
| ~ spl72_110
| ~ spl72_237
| ~ spl72_255 ),
inference(avatar_split_clause,[],[f7836,f2008,f1928,f1351,f1295,f1247,f1065,f1036,f998,f969,f1379]) ).
fof(f1379,plain,
( spl72_117
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_117])]) ).
fof(f969,plain,
( spl72_24
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_24])]) ).
fof(f998,plain,
( spl72_30
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_30])]) ).
fof(f1036,plain,
( spl72_38
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_38])]) ).
fof(f1065,plain,
( spl72_44
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_44])]) ).
fof(f1247,plain,
( spl72_85
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_85])]) ).
fof(f1295,plain,
( spl72_97
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_97])]) ).
fof(f1351,plain,
( spl72_110
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_110])]) ).
fof(f1928,plain,
( spl72_237
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_237])]) ).
fof(f2008,plain,
( spl72_255
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_255])]) ).
fof(f7836,plain,
( e23 != h2(e13)
| ~ spl72_24
| ~ spl72_30
| ~ spl72_38
| ~ spl72_44
| spl72_85
| ~ spl72_97
| ~ spl72_110
| ~ spl72_237
| ~ spl72_255 ),
inference(forward_demodulation,[],[f7835,f1296]) ).
fof(f1296,plain,
( e23 = h3(e13)
| ~ spl72_97 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f7835,plain,
( h2(e13) != h3(e13)
| ~ spl72_24
| ~ spl72_30
| ~ spl72_38
| ~ spl72_44
| spl72_85
| ~ spl72_110
| ~ spl72_237
| ~ spl72_255 ),
inference(forward_demodulation,[],[f7440,f2010]) ).
fof(f2010,plain,
( e13 = op1(e11,e10)
| ~ spl72_255 ),
inference(avatar_component_clause,[],[f2008]) ).
fof(f7440,plain,
( h2(e13) != h3(op1(e11,e10))
| ~ spl72_24
| ~ spl72_30
| ~ spl72_38
| ~ spl72_44
| spl72_85
| ~ spl72_110
| ~ spl72_237 ),
inference(forward_demodulation,[],[f7439,f6240]) ).
fof(f6240,plain,
( op2(e21,e20) = h2(e13)
| ~ spl72_38
| ~ spl72_44
| ~ spl72_110
| ~ spl72_237 ),
inference(superposition,[],[f5309,f1930]) ).
fof(f1930,plain,
( e13 = op1(e12,e11)
| ~ spl72_237 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f5309,plain,
( op2(e21,e20) = h2(op1(e12,e11))
| ~ spl72_38
| ~ spl72_44
| ~ spl72_110 ),
inference(forward_demodulation,[],[f5308,f1037]) ).
fof(f1037,plain,
( e21 = h2(e12)
| ~ spl72_38 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f5308,plain,
( h2(op1(e12,e11)) = op2(h2(e12),e20)
| ~ spl72_44
| ~ spl72_110 ),
inference(forward_demodulation,[],[f1352,f1066]) ).
fof(f1066,plain,
( e20 = h2(e11)
| ~ spl72_44 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1352,plain,
( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
| ~ spl72_110 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f7439,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl72_24
| ~ spl72_30
| spl72_85 ),
inference(forward_demodulation,[],[f7438,f970]) ).
fof(f970,plain,
( e21 = h3(e11)
| ~ spl72_24 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f7438,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl72_30
| spl72_85 ),
inference(forward_demodulation,[],[f1249,f999]) ).
fof(f999,plain,
( e20 = h3(e10)
| ~ spl72_30 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1249,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl72_85 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f7821,plain,
( ~ spl72_55
| spl72_126
| ~ spl72_139
| ~ spl72_158
| ~ spl72_263 ),
inference(avatar_split_clause,[],[f7820,f2045,f1559,f1473,f1419,f1118]) ).
fof(f1118,plain,
( spl72_55
<=> e21 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_55])]) ).
fof(f1419,plain,
( spl72_126
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_126])]) ).
fof(f1473,plain,
( spl72_139
<=> e23 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_139])]) ).
fof(f1559,plain,
( spl72_158
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_158])]) ).
fof(f2045,plain,
( spl72_263
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_263])]) ).
fof(f7820,plain,
( e21 != h1(e10)
| spl72_126
| ~ spl72_139
| ~ spl72_158
| ~ spl72_263 ),
inference(forward_demodulation,[],[f7819,f1561]) ).
fof(f1561,plain,
( e21 = op2(e23,e23)
| ~ spl72_158 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f7819,plain,
( op2(e23,e23) != h1(e10)
| spl72_126
| ~ spl72_139
| ~ spl72_263 ),
inference(forward_demodulation,[],[f7818,f2047]) ).
fof(f2047,plain,
( e10 = op1(e11,e11)
| ~ spl72_263 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f7818,plain,
( op2(e23,e23) != h1(op1(e11,e11))
| spl72_126
| ~ spl72_139 ),
inference(forward_demodulation,[],[f1421,f1474]) ).
fof(f1474,plain,
( e23 = h1(e11)
| ~ spl72_139 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1421,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl72_126 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f7802,plain,
( spl72_55
| ~ spl72_158
| ~ spl72_201 ),
inference(avatar_split_clause,[],[f7801,f1751,f1559,f1118]) ).
fof(f1751,plain,
( spl72_201
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_201])]) ).
fof(f7801,plain,
( e21 = h1(e10)
| ~ spl72_158
| ~ spl72_201 ),
inference(forward_demodulation,[],[f7781,f1561]) ).
fof(f7781,plain,
( op2(e23,e23) = h1(e10)
| ~ spl72_201 ),
inference(forward_demodulation,[],[f265,f1753]) ).
fof(f1753,plain,
( op2(e20,e20) = e23
| ~ spl72_201 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f265,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e13) = op2(e20,op2(e20,e20))
& op2(e20,e20) = h1(e11)
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& e20 = h1(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f7789,plain,
( spl72_47
| ~ spl72_148
| ~ spl72_201 ),
inference(avatar_split_clause,[],[f7788,f1751,f1517,f1079]) ).
fof(f1079,plain,
( spl72_47
<=> e22 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_47])]) ).
fof(f1517,plain,
( spl72_148
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_148])]) ).
fof(f7788,plain,
( e22 = h1(e13)
| ~ spl72_148
| ~ spl72_201 ),
inference(forward_demodulation,[],[f7787,f1519]) ).
fof(f1519,plain,
( e22 = op2(e20,e23)
| ~ spl72_148 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f7787,plain,
( op2(e20,e23) = h1(e13)
| ~ spl72_201 ),
inference(forward_demodulation,[],[f267,f1753]) ).
fof(f267,plain,
h1(e13) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f7762,plain,
( ~ spl72_58
| spl72_127
| ~ spl72_139
| ~ spl72_166
| ~ spl72_239 ),
inference(avatar_contradiction_clause,[],[f7761]) ).
fof(f7761,plain,
( $false
| ~ spl72_58
| spl72_127
| ~ spl72_139
| ~ spl72_166
| ~ spl72_239 ),
inference(subsumption_resolution,[],[f7760,f1596]) ).
fof(f1596,plain,
( e20 = op2(e23,e20)
| ~ spl72_166 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1594,plain,
( spl72_166
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_166])]) ).
fof(f7760,plain,
( e20 != op2(e23,e20)
| ~ spl72_58
| spl72_127
| ~ spl72_139
| ~ spl72_239 ),
inference(forward_demodulation,[],[f7759,f1133]) ).
fof(f1133,plain,
( e20 = h1(e12)
| ~ spl72_58 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1132,plain,
( spl72_58
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_58])]) ).
fof(f7759,plain,
( op2(e23,e20) != h1(e12)
| ~ spl72_58
| spl72_127
| ~ spl72_139
| ~ spl72_239 ),
inference(forward_demodulation,[],[f7758,f1939]) ).
fof(f1939,plain,
( e12 = op1(e11,e12)
| ~ spl72_239 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f1937,plain,
( spl72_239
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_239])]) ).
fof(f7758,plain,
( op2(e23,e20) != h1(op1(e11,e12))
| ~ spl72_58
| spl72_127
| ~ spl72_139 ),
inference(forward_demodulation,[],[f7757,f1474]) ).
fof(f7757,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| ~ spl72_58
| spl72_127 ),
inference(forward_demodulation,[],[f1425,f1133]) ).
fof(f1425,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl72_127 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f1423,plain,
( spl72_127
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_127])]) ).
fof(f7752,plain,
( ~ spl72_47
| spl72_128
| ~ spl72_139
| ~ spl72_147
| ~ spl72_220 ),
inference(avatar_contradiction_clause,[],[f7751]) ).
fof(f7751,plain,
( $false
| ~ spl72_47
| spl72_128
| ~ spl72_139
| ~ spl72_147
| ~ spl72_220 ),
inference(subsumption_resolution,[],[f7750,f1514]) ).
fof(f1514,plain,
( e23 = op2(e23,e22)
| ~ spl72_147 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1512,plain,
( spl72_147
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_147])]) ).
fof(f7750,plain,
( e23 != op2(e23,e22)
| ~ spl72_47
| spl72_128
| ~ spl72_139
| ~ spl72_220 ),
inference(forward_demodulation,[],[f7749,f1474]) ).
fof(f7749,plain,
( op2(e23,e22) != h1(e11)
| ~ spl72_47
| spl72_128
| ~ spl72_139
| ~ spl72_220 ),
inference(forward_demodulation,[],[f7748,f1857]) ).
fof(f1857,plain,
( e11 = op1(e11,e13)
| ~ spl72_220 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f1855,plain,
( spl72_220
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_220])]) ).
fof(f7748,plain,
( op2(e23,e22) != h1(op1(e11,e13))
| ~ spl72_47
| spl72_128
| ~ spl72_139 ),
inference(forward_demodulation,[],[f7747,f1474]) ).
fof(f7747,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e22)
| ~ spl72_47
| spl72_128 ),
inference(forward_demodulation,[],[f1429,f1080]) ).
fof(f1080,plain,
( e22 = h1(e13)
| ~ spl72_47 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1429,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl72_128 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f1427,plain,
( spl72_128
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_128])]) ).
fof(f7739,plain,
( ~ spl72_47
| ~ spl72_55
| spl72_136
| ~ spl72_181
| ~ spl72_229 ),
inference(avatar_contradiction_clause,[],[f7738]) ).
fof(f7738,plain,
( $false
| ~ spl72_47
| ~ spl72_55
| spl72_136
| ~ spl72_181
| ~ spl72_229 ),
inference(subsumption_resolution,[],[f7737,f1661]) ).
fof(f1661,plain,
( e21 = op2(e22,e22)
| ~ spl72_181 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f1659,plain,
( spl72_181
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_181])]) ).
fof(f7737,plain,
( e21 != op2(e22,e22)
| ~ spl72_47
| ~ spl72_55
| spl72_136
| ~ spl72_229 ),
inference(forward_demodulation,[],[f7736,f1119]) ).
fof(f1119,plain,
( e21 = h1(e10)
| ~ spl72_55 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f7736,plain,
( op2(e22,e22) != h1(e10)
| ~ spl72_47
| spl72_136
| ~ spl72_229 ),
inference(forward_demodulation,[],[f7735,f1895]) ).
fof(f1895,plain,
( e10 = op1(e13,e13)
| ~ spl72_229 ),
inference(avatar_component_clause,[],[f1893]) ).
fof(f1893,plain,
( spl72_229
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_229])]) ).
fof(f7735,plain,
( op2(e22,e22) != h1(op1(e13,e13))
| ~ spl72_47
| spl72_136 ),
inference(forward_demodulation,[],[f1461,f1080]) ).
fof(f1461,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl72_136 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl72_136
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_136])]) ).
fof(f7730,plain,
( ~ spl72_47
| ~ spl72_58
| spl72_134
| ~ spl72_139
| ~ spl72_164
| ~ spl72_217 ),
inference(avatar_contradiction_clause,[],[f7729]) ).
fof(f7729,plain,
( $false
| ~ spl72_47
| ~ spl72_58
| spl72_134
| ~ spl72_139
| ~ spl72_164
| ~ spl72_217 ),
inference(subsumption_resolution,[],[f7728,f1587]) ).
fof(f1587,plain,
( e20 = op2(e22,e23)
| ~ spl72_164 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1585,plain,
( spl72_164
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_164])]) ).
fof(f7728,plain,
( e20 != op2(e22,e23)
| ~ spl72_47
| ~ spl72_58
| spl72_134
| ~ spl72_139
| ~ spl72_217 ),
inference(forward_demodulation,[],[f7727,f1133]) ).
fof(f7727,plain,
( op2(e22,e23) != h1(e12)
| ~ spl72_47
| spl72_134
| ~ spl72_139
| ~ spl72_217 ),
inference(forward_demodulation,[],[f7726,f1844]) ).
fof(f1844,plain,
( e12 = op1(e13,e11)
| ~ spl72_217 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f1842,plain,
( spl72_217
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_217])]) ).
fof(f7726,plain,
( op2(e22,e23) != h1(op1(e13,e11))
| ~ spl72_47
| spl72_134
| ~ spl72_139 ),
inference(forward_demodulation,[],[f7725,f1080]) ).
fof(f7725,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e23)
| spl72_134
| ~ spl72_139 ),
inference(forward_demodulation,[],[f1453,f1474]) ).
fof(f1453,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl72_134 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1451,plain,
( spl72_134
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_134])]) ).
fof(f7724,plain,
( ~ spl72_47
| ~ spl72_58
| spl72_130
| ~ spl72_139
| ~ spl72_148
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f7723]) ).
fof(f7723,plain,
( $false
| ~ spl72_47
| ~ spl72_58
| spl72_130
| ~ spl72_139
| ~ spl72_148
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f7722,f1519]) ).
fof(f7722,plain,
( e22 != op2(e20,e23)
| ~ spl72_47
| ~ spl72_58
| spl72_130
| ~ spl72_139
| ~ spl72_237 ),
inference(forward_demodulation,[],[f7721,f1080]) ).
fof(f7721,plain,
( op2(e20,e23) != h1(e13)
| ~ spl72_58
| spl72_130
| ~ spl72_139
| ~ spl72_237 ),
inference(forward_demodulation,[],[f7720,f1930]) ).
fof(f7720,plain,
( op2(e20,e23) != h1(op1(e12,e11))
| ~ spl72_58
| spl72_130
| ~ spl72_139 ),
inference(forward_demodulation,[],[f7719,f1133]) ).
fof(f7719,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e23)
| spl72_130
| ~ spl72_139 ),
inference(forward_demodulation,[],[f1437,f1474]) ).
fof(f1437,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl72_130 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1435,plain,
( spl72_130
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_130])]) ).
fof(f7708,plain,
( ~ spl72_47
| ~ spl72_58
| spl72_135
| ~ spl72_177
| ~ spl72_211 ),
inference(avatar_contradiction_clause,[],[f7707]) ).
fof(f7707,plain,
( $false
| ~ spl72_47
| ~ spl72_58
| spl72_135
| ~ spl72_177
| ~ spl72_211 ),
inference(subsumption_resolution,[],[f7706,f1644]) ).
fof(f1644,plain,
( e22 = op2(e22,e20)
| ~ spl72_177 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1642,plain,
( spl72_177
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_177])]) ).
fof(f7706,plain,
( e22 != op2(e22,e20)
| ~ spl72_47
| ~ spl72_58
| spl72_135
| ~ spl72_211 ),
inference(forward_demodulation,[],[f7705,f1080]) ).
fof(f7705,plain,
( op2(e22,e20) != h1(e13)
| ~ spl72_47
| ~ spl72_58
| spl72_135
| ~ spl72_211 ),
inference(forward_demodulation,[],[f7704,f1818]) ).
fof(f1818,plain,
( e13 = op1(e13,e12)
| ~ spl72_211 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f1816,plain,
( spl72_211
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_211])]) ).
fof(f7704,plain,
( op2(e22,e20) != h1(op1(e13,e12))
| ~ spl72_47
| ~ spl72_58
| spl72_135 ),
inference(forward_demodulation,[],[f7703,f1080]) ).
fof(f7703,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| ~ spl72_58
| spl72_135 ),
inference(forward_demodulation,[],[f1457,f1133]) ).
fof(f1457,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl72_135 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1455,plain,
( spl72_135
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_135])]) ).
fof(f7699,plain,
( ~ spl72_58
| spl72_131
| ~ spl72_139
| ~ spl72_201
| ~ spl72_245 ),
inference(avatar_contradiction_clause,[],[f7698]) ).
fof(f7698,plain,
( $false
| ~ spl72_58
| spl72_131
| ~ spl72_139
| ~ spl72_201
| ~ spl72_245 ),
inference(subsumption_resolution,[],[f7697,f1753]) ).
fof(f7697,plain,
( op2(e20,e20) != e23
| ~ spl72_58
| spl72_131
| ~ spl72_139
| ~ spl72_245 ),
inference(forward_demodulation,[],[f7696,f1474]) ).
fof(f7696,plain,
( op2(e20,e20) != h1(e11)
| ~ spl72_58
| spl72_131
| ~ spl72_245 ),
inference(forward_demodulation,[],[f7695,f1965]) ).
fof(f1965,plain,
( e11 = op1(e12,e12)
| ~ spl72_245 ),
inference(avatar_component_clause,[],[f1963]) ).
fof(f1963,plain,
( spl72_245
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_245])]) ).
fof(f7695,plain,
( op2(e20,e20) != h1(op1(e12,e12))
| ~ spl72_58
| spl72_131 ),
inference(forward_demodulation,[],[f1441,f1133]) ).
fof(f1441,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl72_131 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1439,plain,
( spl72_131
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_131])]) ).
fof(f7685,plain,
( ~ spl72_55
| spl72_122
| ~ spl72_139
| ~ spl72_142
| ~ spl72_259 ),
inference(avatar_contradiction_clause,[],[f7684]) ).
fof(f7684,plain,
( $false
| ~ spl72_55
| spl72_122
| ~ spl72_139
| ~ spl72_142
| ~ spl72_259 ),
inference(subsumption_resolution,[],[f7683,f1493]) ).
fof(f1493,plain,
( e23 = op2(e21,e23)
| ~ spl72_142 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1491,plain,
( spl72_142
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_142])]) ).
fof(f7683,plain,
( e23 != op2(e21,e23)
| ~ spl72_55
| spl72_122
| ~ spl72_139
| ~ spl72_259 ),
inference(forward_demodulation,[],[f7682,f1474]) ).
fof(f7682,plain,
( op2(e21,e23) != h1(e11)
| ~ spl72_55
| spl72_122
| ~ spl72_139
| ~ spl72_259 ),
inference(forward_demodulation,[],[f7681,f2029]) ).
fof(f2029,plain,
( e11 = op1(e10,e11)
| ~ spl72_259 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f2027,plain,
( spl72_259
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_259])]) ).
fof(f7681,plain,
( op2(e21,e23) != h1(op1(e10,e11))
| ~ spl72_55
| spl72_122
| ~ spl72_139 ),
inference(forward_demodulation,[],[f7680,f1119]) ).
fof(f7680,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e23)
| spl72_122
| ~ spl72_139 ),
inference(forward_demodulation,[],[f1405,f1474]) ).
fof(f1405,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl72_122 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1403,plain,
( spl72_122
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_122])]) ).
fof(f7675,plain,
( ~ spl72_47
| ~ spl72_55
| spl72_125
| ~ spl72_139
| ~ spl72_153
| ~ spl72_255 ),
inference(avatar_contradiction_clause,[],[f7674]) ).
fof(f7674,plain,
( $false
| ~ spl72_47
| ~ spl72_55
| spl72_125
| ~ spl72_139
| ~ spl72_153
| ~ spl72_255 ),
inference(subsumption_resolution,[],[f7673,f1080]) ).
fof(f7673,plain,
( e22 != h1(e13)
| ~ spl72_55
| spl72_125
| ~ spl72_139
| ~ spl72_153
| ~ spl72_255 ),
inference(superposition,[],[f7628,f2010]) ).
fof(f7628,plain,
( e22 != h1(op1(e11,e10))
| ~ spl72_55
| spl72_125
| ~ spl72_139
| ~ spl72_153 ),
inference(forward_demodulation,[],[f7622,f1540]) ).
fof(f1540,plain,
( e22 = op2(e23,e21)
| ~ spl72_153 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1538,plain,
( spl72_153
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_153])]) ).
fof(f7622,plain,
( op2(e23,e21) != h1(op1(e11,e10))
| ~ spl72_55
| spl72_125
| ~ spl72_139 ),
inference(superposition,[],[f7594,f1119]) ).
fof(f7594,plain,
( h1(op1(e11,e10)) != op2(e23,h1(e10))
| spl72_125
| ~ spl72_139 ),
inference(forward_demodulation,[],[f1417,f1474]) ).
fof(f1417,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl72_125 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1415,plain,
( spl72_125
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_125])]) ).
fof(f7587,plain,
( ~ spl72_47
| ~ spl72_55
| spl72_133
| ~ spl72_139
| ~ spl72_173
| ~ spl72_223 ),
inference(avatar_contradiction_clause,[],[f7586]) ).
fof(f7586,plain,
( $false
| ~ spl72_47
| ~ spl72_55
| spl72_133
| ~ spl72_139
| ~ spl72_173
| ~ spl72_223 ),
inference(subsumption_resolution,[],[f7579,f1474]) ).
fof(f7579,plain,
( e23 != h1(e11)
| ~ spl72_47
| ~ spl72_55
| spl72_133
| ~ spl72_173
| ~ spl72_223 ),
inference(superposition,[],[f7502,f1870]) ).
fof(f1870,plain,
( e11 = op1(e13,e10)
| ~ spl72_223 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1868,plain,
( spl72_223
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_223])]) ).
fof(f7502,plain,
( e23 != h1(op1(e13,e10))
| ~ spl72_47
| ~ spl72_55
| spl72_133
| ~ spl72_173 ),
inference(forward_demodulation,[],[f7497,f1626]) ).
fof(f1626,plain,
( e23 = op2(e22,e21)
| ~ spl72_173 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1624,plain,
( spl72_173
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_173])]) ).
fof(f7497,plain,
( op2(e22,e21) != h1(op1(e13,e10))
| ~ spl72_47
| ~ spl72_55
| spl72_133 ),
inference(superposition,[],[f7243,f1080]) ).
fof(f7243,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e21)
| ~ spl72_55
| spl72_133 ),
inference(forward_demodulation,[],[f1449,f1119]) ).
fof(f1449,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl72_133 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1447,plain,
( spl72_133
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_133])]) ).
fof(f7555,plain,
( ~ spl72_47
| ~ spl72_58
| spl72_132
| ~ spl72_184
| ~ spl72_214 ),
inference(avatar_contradiction_clause,[],[f7554]) ).
fof(f7554,plain,
( $false
| ~ spl72_47
| ~ spl72_58
| spl72_132
| ~ spl72_184
| ~ spl72_214 ),
inference(subsumption_resolution,[],[f7553,f1675]) ).
fof(f1675,plain,
( e20 = op2(e20,e22)
| ~ spl72_184 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f1673,plain,
( spl72_184
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_184])]) ).
fof(f7553,plain,
( e20 != op2(e20,e22)
| ~ spl72_47
| ~ spl72_58
| spl72_132
| ~ spl72_214 ),
inference(forward_demodulation,[],[f7550,f1133]) ).
fof(f7550,plain,
( op2(e20,e22) != h1(e12)
| ~ spl72_47
| ~ spl72_58
| spl72_132
| ~ spl72_214 ),
inference(superposition,[],[f7498,f1831]) ).
fof(f1831,plain,
( e12 = op1(e12,e13)
| ~ spl72_214 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f1829,plain,
( spl72_214
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_214])]) ).
fof(f7498,plain,
( op2(e20,e22) != h1(op1(e12,e13))
| ~ spl72_47
| ~ spl72_58
| spl72_132 ),
inference(superposition,[],[f7334,f1080]) ).
fof(f7334,plain,
( h1(op1(e12,e13)) != op2(e20,h1(e13))
| ~ spl72_58
| spl72_132 ),
inference(forward_demodulation,[],[f1445,f1133]) ).
fof(f1445,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl72_132 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f1443,plain,
( spl72_132
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_132])]) ).
fof(f7538,plain,
( ~ spl72_47
| ~ spl72_55
| spl72_124
| ~ spl72_175
| ~ spl72_205 ),
inference(avatar_contradiction_clause,[],[f7537]) ).
fof(f7537,plain,
( $false
| ~ spl72_47
| ~ spl72_55
| spl72_124
| ~ spl72_175
| ~ spl72_205 ),
inference(subsumption_resolution,[],[f7532,f1080]) ).
fof(f7532,plain,
( e22 != h1(e13)
| ~ spl72_47
| ~ spl72_55
| spl72_124
| ~ spl72_175
| ~ spl72_205 ),
inference(superposition,[],[f7503,f1793]) ).
fof(f1793,plain,
( e13 = op1(e10,e13)
| ~ spl72_205 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f1791,plain,
( spl72_205
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_205])]) ).
fof(f7503,plain,
( e22 != h1(op1(e10,e13))
| ~ spl72_47
| ~ spl72_55
| spl72_124
| ~ spl72_175 ),
inference(forward_demodulation,[],[f7499,f1635]) ).
fof(f1635,plain,
( e22 = op2(e21,e22)
| ~ spl72_175 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1633,plain,
( spl72_175
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_175])]) ).
fof(f7499,plain,
( op2(e21,e22) != h1(op1(e10,e13))
| ~ spl72_47
| ~ spl72_55
| spl72_124 ),
inference(superposition,[],[f7337,f1080]) ).
fof(f7337,plain,
( h1(op1(e10,e13)) != op2(e21,h1(e13))
| ~ spl72_55
| spl72_124 ),
inference(forward_demodulation,[],[f1413,f1119]) ).
fof(f1413,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl72_124 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1411,plain,
( spl72_124
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_124])]) ).
fof(f7416,plain,
( ~ spl72_148
| ~ spl72_18
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_212 ),
inference(avatar_split_clause,[],[f7415,f1821,f1295,f1243,f998,f940,f1517]) ).
fof(f940,plain,
( spl72_18
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_18])]) ).
fof(f1243,plain,
( spl72_84
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_84])]) ).
fof(f1821,plain,
( spl72_212
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_212])]) ).
fof(f7415,plain,
( e22 != op2(e20,e23)
| ~ spl72_18
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_212 ),
inference(forward_demodulation,[],[f7414,f941]) ).
fof(f941,plain,
( e22 = h3(e12)
| ~ spl72_18 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f7414,plain,
( op2(e20,e23) != h3(e12)
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_212 ),
inference(forward_demodulation,[],[f7413,f1823]) ).
fof(f1823,plain,
( e12 = op1(e10,e13)
| ~ spl72_212 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f7413,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl72_30
| spl72_84
| ~ spl72_97 ),
inference(forward_demodulation,[],[f7412,f999]) ).
fof(f7412,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl72_84
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1245,f1296]) ).
fof(f1245,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl72_84 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f7411,plain,
( ~ spl72_202
| ~ spl72_2
| ~ spl72_15
| spl72_61
| ~ spl72_265 ),
inference(avatar_split_clause,[],[f7410,f2055,f1147,f926,f863,f1757]) ).
fof(f1757,plain,
( spl72_202
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_202])]) ).
fof(f863,plain,
( spl72_2
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).
fof(f926,plain,
( spl72_15
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_15])]) ).
fof(f1147,plain,
( spl72_61
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_61])]) ).
fof(f2055,plain,
( spl72_265
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_265])]) ).
fof(f7410,plain,
( op2(e20,e20) != e22
| ~ spl72_2
| ~ spl72_15
| spl72_61
| ~ spl72_265 ),
inference(forward_demodulation,[],[f7409,f864]) ).
fof(f864,plain,
( e22 = h4(e13)
| ~ spl72_2 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f7409,plain,
( op2(e20,e20) != h4(e13)
| ~ spl72_15
| spl72_61
| ~ spl72_265 ),
inference(forward_demodulation,[],[f7408,f2057]) ).
fof(f2057,plain,
( op1(e10,e10) = e13
| ~ spl72_265 ),
inference(avatar_component_clause,[],[f2055]) ).
fof(f7408,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| ~ spl72_15
| spl72_61 ),
inference(forward_demodulation,[],[f1149,f927]) ).
fof(f927,plain,
( e20 = h4(e10)
| ~ spl72_15 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f1149,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl72_61 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f7407,plain,
( ~ spl72_145
| ~ spl72_15
| spl72_69
| ~ spl72_78
| ~ spl72_241 ),
inference(avatar_split_clause,[],[f7406,f1946,f1216,f1179,f926,f1504]) ).
fof(f1504,plain,
( spl72_145
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_145])]) ).
fof(f1179,plain,
( spl72_69
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_69])]) ).
fof(f1216,plain,
( spl72_78
<=> e23 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_78])]) ).
fof(f1946,plain,
( spl72_241
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_241])]) ).
fof(f7406,plain,
( e23 != op2(e23,e20)
| ~ spl72_15
| spl72_69
| ~ spl72_78
| ~ spl72_241 ),
inference(forward_demodulation,[],[f7405,f1217]) ).
fof(f1217,plain,
( e23 = h4(e12)
| ~ spl72_78 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f7405,plain,
( op2(e23,e20) != h4(e12)
| ~ spl72_15
| spl72_69
| ~ spl72_78
| ~ spl72_241 ),
inference(forward_demodulation,[],[f7404,f1948]) ).
fof(f1948,plain,
( e12 = op1(e12,e10)
| ~ spl72_241 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f7404,plain,
( op2(e23,e20) != h4(op1(e12,e10))
| ~ spl72_15
| spl72_69
| ~ spl72_78 ),
inference(forward_demodulation,[],[f7403,f1217]) ).
fof(f7403,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| ~ spl72_15
| spl72_69 ),
inference(forward_demodulation,[],[f1181,f927]) ).
fof(f1181,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl72_69 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f7402,plain,
( ~ spl72_168
| ~ spl72_2
| ~ spl72_15
| spl72_72
| ~ spl72_78
| ~ spl72_228 ),
inference(avatar_split_clause,[],[f7401,f1889,f1216,f1191,f926,f863,f1602]) ).
fof(f1602,plain,
( spl72_168
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_168])]) ).
fof(f1191,plain,
( spl72_72
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_72])]) ).
fof(f1889,plain,
( spl72_228
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_228])]) ).
fof(f7401,plain,
( e20 != op2(e23,e22)
| ~ spl72_2
| ~ spl72_15
| spl72_72
| ~ spl72_78
| ~ spl72_228 ),
inference(forward_demodulation,[],[f7400,f927]) ).
fof(f7400,plain,
( op2(e23,e22) != h4(e10)
| ~ spl72_2
| spl72_72
| ~ spl72_78
| ~ spl72_228 ),
inference(forward_demodulation,[],[f7399,f1891]) ).
fof(f1891,plain,
( e10 = op1(e12,e13)
| ~ spl72_228 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f7399,plain,
( op2(e23,e22) != h4(op1(e12,e13))
| ~ spl72_2
| spl72_72
| ~ spl72_78 ),
inference(forward_demodulation,[],[f7398,f1217]) ).
fof(f7398,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e22)
| ~ spl72_2
| spl72_72 ),
inference(forward_demodulation,[],[f1193,f864]) ).
fof(f1193,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl72_72 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f7397,plain,
( ~ spl72_187
| ~ spl72_2
| ~ spl72_15
| spl72_73
| ~ spl72_230 ),
inference(avatar_split_clause,[],[f7396,f1898,f1195,f926,f863,f1686]) ).
fof(f1686,plain,
( spl72_187
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_187])]) ).
fof(f1195,plain,
( spl72_73
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_73])]) ).
fof(f1898,plain,
( spl72_230
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_230])]) ).
fof(f7396,plain,
( e20 != op2(e22,e20)
| ~ spl72_2
| ~ spl72_15
| spl72_73
| ~ spl72_230 ),
inference(forward_demodulation,[],[f7395,f927]) ).
fof(f7395,plain,
( op2(e22,e20) != h4(e10)
| ~ spl72_2
| ~ spl72_15
| spl72_73
| ~ spl72_230 ),
inference(forward_demodulation,[],[f7394,f1900]) ).
fof(f1900,plain,
( e10 = op1(e13,e10)
| ~ spl72_230 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f7394,plain,
( op2(e22,e20) != h4(op1(e13,e10))
| ~ spl72_2
| ~ spl72_15
| spl72_73 ),
inference(forward_demodulation,[],[f7393,f864]) ).
fof(f7393,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| ~ spl72_15
| spl72_73 ),
inference(forward_demodulation,[],[f1197,f927]) ).
fof(f1197,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl72_73 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f7392,plain,
( ~ spl72_150
| ~ spl72_2
| spl72_75
| ~ spl72_78
| ~ spl72_211 ),
inference(avatar_split_clause,[],[f7391,f1816,f1216,f1203,f863,f1525]) ).
fof(f1525,plain,
( spl72_150
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_150])]) ).
fof(f1203,plain,
( spl72_75
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_75])]) ).
fof(f7391,plain,
( e22 != op2(e22,e23)
| ~ spl72_2
| spl72_75
| ~ spl72_78
| ~ spl72_211 ),
inference(forward_demodulation,[],[f7390,f864]) ).
fof(f7390,plain,
( op2(e22,e23) != h4(e13)
| ~ spl72_2
| spl72_75
| ~ spl72_78
| ~ spl72_211 ),
inference(forward_demodulation,[],[f7389,f1818]) ).
fof(f7389,plain,
( op2(e22,e23) != h4(op1(e13,e12))
| ~ spl72_2
| spl72_75
| ~ spl72_78 ),
inference(forward_demodulation,[],[f7388,f864]) ).
fof(f7388,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl72_75
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1205,f1217]) ).
fof(f1205,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl72_75 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f7387,plain,
( ~ spl72_201
| ~ spl72_30
| spl72_81
| ~ spl72_97
| ~ spl72_265 ),
inference(avatar_split_clause,[],[f7386,f2055,f1295,f1231,f998,f1751]) ).
fof(f1231,plain,
( spl72_81
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_81])]) ).
fof(f7386,plain,
( op2(e20,e20) != e23
| ~ spl72_30
| spl72_81
| ~ spl72_97
| ~ spl72_265 ),
inference(forward_demodulation,[],[f7385,f1296]) ).
fof(f7385,plain,
( op2(e20,e20) != h3(e13)
| ~ spl72_30
| spl72_81
| ~ spl72_265 ),
inference(forward_demodulation,[],[f7384,f2057]) ).
fof(f7384,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl72_30
| spl72_81 ),
inference(forward_demodulation,[],[f1233,f999]) ).
fof(f1233,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl72_81 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f7353,plain,
( ~ spl72_177
| ~ spl72_18
| ~ spl72_30
| spl72_89
| ~ spl72_241 ),
inference(avatar_split_clause,[],[f7352,f1946,f1263,f998,f940,f1642]) ).
fof(f1263,plain,
( spl72_89
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_89])]) ).
fof(f7352,plain,
( e22 != op2(e22,e20)
| ~ spl72_18
| ~ spl72_30
| spl72_89
| ~ spl72_241 ),
inference(forward_demodulation,[],[f7351,f941]) ).
fof(f7351,plain,
( op2(e22,e20) != h3(e12)
| ~ spl72_18
| ~ spl72_30
| spl72_89
| ~ spl72_241 ),
inference(forward_demodulation,[],[f7144,f1948]) ).
fof(f7144,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| ~ spl72_18
| ~ spl72_30
| spl72_89 ),
inference(forward_demodulation,[],[f7143,f941]) ).
fof(f7143,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl72_30
| spl72_89 ),
inference(forward_demodulation,[],[f1265,f999]) ).
fof(f1265,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl72_89 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f7347,plain,
( ~ spl72_164
| ~ spl72_18
| ~ spl72_30
| spl72_92
| ~ spl72_97
| ~ spl72_228 ),
inference(avatar_split_clause,[],[f7346,f1889,f1295,f1275,f998,f940,f1585]) ).
fof(f1275,plain,
( spl72_92
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_92])]) ).
fof(f7346,plain,
( e20 != op2(e22,e23)
| ~ spl72_18
| ~ spl72_30
| spl72_92
| ~ spl72_97
| ~ spl72_228 ),
inference(forward_demodulation,[],[f7345,f999]) ).
fof(f7345,plain,
( op2(e22,e23) != h3(e10)
| ~ spl72_18
| spl72_92
| ~ spl72_97
| ~ spl72_228 ),
inference(forward_demodulation,[],[f7141,f1891]) ).
fof(f7141,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| ~ spl72_18
| spl72_92
| ~ spl72_97 ),
inference(forward_demodulation,[],[f7140,f941]) ).
fof(f7140,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl72_92
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1277,f1296]) ).
fof(f1277,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl72_92 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f7344,plain,
( ~ spl72_166
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_230 ),
inference(avatar_split_clause,[],[f7343,f1898,f1295,f1279,f998,f1594]) ).
fof(f1279,plain,
( spl72_93
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_93])]) ).
fof(f7343,plain,
( e20 != op2(e23,e20)
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_230 ),
inference(forward_demodulation,[],[f7342,f999]) ).
fof(f7342,plain,
( op2(e23,e20) != h3(e10)
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_230 ),
inference(forward_demodulation,[],[f6228,f1900]) ).
fof(f6228,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| ~ spl72_30
| spl72_93
| ~ spl72_97 ),
inference(forward_demodulation,[],[f6227,f1296]) ).
fof(f6227,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| ~ spl72_30
| spl72_93 ),
inference(forward_demodulation,[],[f1281,f999]) ).
fof(f1281,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl72_93 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f7313,plain,
( ~ spl72_2
| ~ spl72_15
| spl72_64
| ~ spl72_78
| ~ spl72_169
| ~ spl72_212 ),
inference(avatar_contradiction_clause,[],[f7312]) ).
fof(f7312,plain,
( $false
| ~ spl72_2
| ~ spl72_15
| spl72_64
| ~ spl72_78
| ~ spl72_169
| ~ spl72_212 ),
inference(subsumption_resolution,[],[f7311,f1609]) ).
fof(f1609,plain,
( e23 = op2(e20,e22)
| ~ spl72_169 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1607,plain,
( spl72_169
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_169])]) ).
fof(f7311,plain,
( e23 != op2(e20,e22)
| ~ spl72_2
| ~ spl72_15
| spl72_64
| ~ spl72_78
| ~ spl72_212 ),
inference(forward_demodulation,[],[f7310,f1217]) ).
fof(f7310,plain,
( op2(e20,e22) != h4(e12)
| ~ spl72_2
| ~ spl72_15
| spl72_64
| ~ spl72_212 ),
inference(forward_demodulation,[],[f7309,f1823]) ).
fof(f7309,plain,
( op2(e20,e22) != h4(op1(e10,e13))
| ~ spl72_2
| ~ spl72_15
| spl72_64 ),
inference(forward_demodulation,[],[f7308,f927]) ).
fof(f7308,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| ~ spl72_2
| spl72_64 ),
inference(forward_demodulation,[],[f1161,f864]) ).
fof(f1161,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl72_64 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1159,plain,
( spl72_64
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_64])]) ).
fof(f7108,plain,
( ~ spl72_55
| spl72_136
| ~ spl72_137
| ~ spl72_158
| ~ spl72_229 ),
inference(avatar_contradiction_clause,[],[f7107]) ).
fof(f7107,plain,
( $false
| ~ spl72_55
| spl72_136
| ~ spl72_137
| ~ spl72_158
| ~ spl72_229 ),
inference(subsumption_resolution,[],[f7106,f1561]) ).
fof(f7106,plain,
( e21 != op2(e23,e23)
| ~ spl72_55
| spl72_136
| ~ spl72_137
| ~ spl72_229 ),
inference(forward_demodulation,[],[f7105,f1119]) ).
fof(f7105,plain,
( op2(e23,e23) != h1(e10)
| spl72_136
| ~ spl72_137
| ~ spl72_229 ),
inference(forward_demodulation,[],[f7104,f1895]) ).
fof(f7104,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| spl72_136
| ~ spl72_137 ),
inference(forward_demodulation,[],[f1461,f1464]) ).
fof(f1464,plain,
( e23 = h1(e13)
| ~ spl72_137 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f1463,plain,
( spl72_137
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_137])]) ).
fof(f7099,plain,
( ~ spl72_58
| spl72_135
| ~ spl72_137
| ~ spl72_145
| ~ spl72_211 ),
inference(avatar_contradiction_clause,[],[f7098]) ).
fof(f7098,plain,
( $false
| ~ spl72_58
| spl72_135
| ~ spl72_137
| ~ spl72_145
| ~ spl72_211 ),
inference(subsumption_resolution,[],[f7097,f1506]) ).
fof(f1506,plain,
( e23 = op2(e23,e20)
| ~ spl72_145 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f7097,plain,
( e23 != op2(e23,e20)
| ~ spl72_58
| spl72_135
| ~ spl72_137
| ~ spl72_211 ),
inference(forward_demodulation,[],[f7096,f1464]) ).
fof(f7096,plain,
( op2(e23,e20) != h1(e13)
| ~ spl72_58
| spl72_135
| ~ spl72_137
| ~ spl72_211 ),
inference(forward_demodulation,[],[f7095,f1818]) ).
fof(f7095,plain,
( op2(e23,e20) != h1(op1(e13,e12))
| ~ spl72_58
| spl72_135
| ~ spl72_137 ),
inference(forward_demodulation,[],[f7094,f1464]) ).
fof(f7094,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| ~ spl72_58
| spl72_135 ),
inference(forward_demodulation,[],[f1457,f1133]) ).
fof(f7089,plain,
( ~ spl72_49
| ~ spl72_58
| spl72_134
| ~ spl72_137
| ~ spl72_168
| ~ spl72_217 ),
inference(avatar_contradiction_clause,[],[f7088]) ).
fof(f7088,plain,
( $false
| ~ spl72_49
| ~ spl72_58
| spl72_134
| ~ spl72_137
| ~ spl72_168
| ~ spl72_217 ),
inference(subsumption_resolution,[],[f7087,f1604]) ).
fof(f1604,plain,
( e20 = op2(e23,e22)
| ~ spl72_168 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f7087,plain,
( e20 != op2(e23,e22)
| ~ spl72_49
| ~ spl72_58
| spl72_134
| ~ spl72_137
| ~ spl72_217 ),
inference(forward_demodulation,[],[f7086,f1133]) ).
fof(f7086,plain,
( op2(e23,e22) != h1(e12)
| ~ spl72_49
| spl72_134
| ~ spl72_137
| ~ spl72_217 ),
inference(forward_demodulation,[],[f7085,f1844]) ).
fof(f7085,plain,
( op2(e23,e22) != h1(op1(e13,e11))
| ~ spl72_49
| spl72_134
| ~ spl72_137 ),
inference(forward_demodulation,[],[f7084,f1464]) ).
fof(f7084,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e22)
| ~ spl72_49
| spl72_134 ),
inference(forward_demodulation,[],[f1453,f1090]) ).
fof(f1090,plain,
( e22 = h1(e11)
| ~ spl72_49 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1089,plain,
( spl72_49
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_49])]) ).
fof(f7079,plain,
( ~ spl72_49
| ~ spl72_55
| spl72_133
| ~ spl72_137
| ~ spl72_153
| ~ spl72_223 ),
inference(avatar_contradiction_clause,[],[f7078]) ).
fof(f7078,plain,
( $false
| ~ spl72_49
| ~ spl72_55
| spl72_133
| ~ spl72_137
| ~ spl72_153
| ~ spl72_223 ),
inference(subsumption_resolution,[],[f7077,f1540]) ).
fof(f7077,plain,
( e22 != op2(e23,e21)
| ~ spl72_49
| ~ spl72_55
| spl72_133
| ~ spl72_137
| ~ spl72_223 ),
inference(forward_demodulation,[],[f7076,f1090]) ).
fof(f7076,plain,
( op2(e23,e21) != h1(e11)
| ~ spl72_55
| spl72_133
| ~ spl72_137
| ~ spl72_223 ),
inference(forward_demodulation,[],[f7075,f1870]) ).
fof(f7075,plain,
( op2(e23,e21) != h1(op1(e13,e10))
| ~ spl72_55
| spl72_133
| ~ spl72_137 ),
inference(forward_demodulation,[],[f7074,f1464]) ).
fof(f7074,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e21)
| ~ spl72_55
| spl72_133 ),
inference(forward_demodulation,[],[f1449,f1119]) ).
fof(f7070,plain,
( ~ spl72_58
| spl72_132
| ~ spl72_137
| ~ spl72_162
| ~ spl72_214 ),
inference(avatar_contradiction_clause,[],[f7069]) ).
fof(f7069,plain,
( $false
| ~ spl72_58
| spl72_132
| ~ spl72_137
| ~ spl72_162
| ~ spl72_214 ),
inference(subsumption_resolution,[],[f7068,f1579]) ).
fof(f1579,plain,
( e20 = op2(e20,e23)
| ~ spl72_162 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1577,plain,
( spl72_162
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_162])]) ).
fof(f7068,plain,
( e20 != op2(e20,e23)
| ~ spl72_58
| spl72_132
| ~ spl72_137
| ~ spl72_214 ),
inference(forward_demodulation,[],[f7067,f1133]) ).
fof(f7067,plain,
( op2(e20,e23) != h1(e12)
| ~ spl72_58
| spl72_132
| ~ spl72_137
| ~ spl72_214 ),
inference(forward_demodulation,[],[f7066,f1831]) ).
fof(f7066,plain,
( op2(e20,e23) != h1(op1(e12,e13))
| ~ spl72_58
| spl72_132
| ~ spl72_137 ),
inference(forward_demodulation,[],[f7065,f1133]) ).
fof(f7065,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e23)
| spl72_132
| ~ spl72_137 ),
inference(forward_demodulation,[],[f1445,f1464]) ).
fof(f7060,plain,
( ~ spl72_49
| ~ spl72_58
| spl72_131
| ~ spl72_202
| ~ spl72_245 ),
inference(avatar_contradiction_clause,[],[f7059]) ).
fof(f7059,plain,
( $false
| ~ spl72_49
| ~ spl72_58
| spl72_131
| ~ spl72_202
| ~ spl72_245 ),
inference(subsumption_resolution,[],[f7058,f1759]) ).
fof(f1759,plain,
( op2(e20,e20) = e22
| ~ spl72_202 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f7058,plain,
( op2(e20,e20) != e22
| ~ spl72_49
| ~ spl72_58
| spl72_131
| ~ spl72_245 ),
inference(forward_demodulation,[],[f7057,f1090]) ).
fof(f7057,plain,
( op2(e20,e20) != h1(e11)
| ~ spl72_58
| spl72_131
| ~ spl72_245 ),
inference(forward_demodulation,[],[f7056,f1965]) ).
fof(f7056,plain,
( op2(e20,e20) != h1(op1(e12,e12))
| ~ spl72_58
| spl72_131 ),
inference(forward_demodulation,[],[f1441,f1133]) ).
fof(f7051,plain,
( ~ spl72_49
| ~ spl72_58
| spl72_130
| ~ spl72_137
| ~ spl72_169
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f7050]) ).
fof(f7050,plain,
( $false
| ~ spl72_49
| ~ spl72_58
| spl72_130
| ~ spl72_137
| ~ spl72_169
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f7049,f1609]) ).
fof(f7049,plain,
( e23 != op2(e20,e22)
| ~ spl72_49
| ~ spl72_58
| spl72_130
| ~ spl72_137
| ~ spl72_237 ),
inference(forward_demodulation,[],[f7048,f1464]) ).
fof(f7048,plain,
( op2(e20,e22) != h1(e13)
| ~ spl72_49
| ~ spl72_58
| spl72_130
| ~ spl72_237 ),
inference(forward_demodulation,[],[f7047,f1930]) ).
fof(f7047,plain,
( op2(e20,e22) != h1(op1(e12,e11))
| ~ spl72_49
| ~ spl72_58
| spl72_130 ),
inference(forward_demodulation,[],[f7046,f1133]) ).
fof(f7046,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e22)
| ~ spl72_49
| spl72_130 ),
inference(forward_demodulation,[],[f1437,f1090]) ).
fof(f7041,plain,
( ~ spl72_49
| spl72_128
| ~ spl72_137
| ~ spl72_150
| ~ spl72_220 ),
inference(avatar_contradiction_clause,[],[f7040]) ).
fof(f7040,plain,
( $false
| ~ spl72_49
| spl72_128
| ~ spl72_137
| ~ spl72_150
| ~ spl72_220 ),
inference(subsumption_resolution,[],[f7039,f1527]) ).
fof(f1527,plain,
( e22 = op2(e22,e23)
| ~ spl72_150 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f7039,plain,
( e22 != op2(e22,e23)
| ~ spl72_49
| spl72_128
| ~ spl72_137
| ~ spl72_220 ),
inference(forward_demodulation,[],[f7038,f1090]) ).
fof(f7038,plain,
( op2(e22,e23) != h1(e11)
| ~ spl72_49
| spl72_128
| ~ spl72_137
| ~ spl72_220 ),
inference(forward_demodulation,[],[f7037,f1857]) ).
fof(f7037,plain,
( op2(e22,e23) != h1(op1(e11,e13))
| ~ spl72_49
| spl72_128
| ~ spl72_137 ),
inference(forward_demodulation,[],[f7036,f1090]) ).
fof(f7036,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| spl72_128
| ~ spl72_137 ),
inference(forward_demodulation,[],[f1429,f1464]) ).
fof(f7032,plain,
( ~ spl72_49
| ~ spl72_58
| spl72_127
| ~ spl72_187
| ~ spl72_239 ),
inference(avatar_contradiction_clause,[],[f7031]) ).
fof(f7031,plain,
( $false
| ~ spl72_49
| ~ spl72_58
| spl72_127
| ~ spl72_187
| ~ spl72_239 ),
inference(subsumption_resolution,[],[f7030,f1688]) ).
fof(f1688,plain,
( e20 = op2(e22,e20)
| ~ spl72_187 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f7030,plain,
( e20 != op2(e22,e20)
| ~ spl72_49
| ~ spl72_58
| spl72_127
| ~ spl72_239 ),
inference(forward_demodulation,[],[f7029,f1133]) ).
fof(f7029,plain,
( op2(e22,e20) != h1(e12)
| ~ spl72_49
| ~ spl72_58
| spl72_127
| ~ spl72_239 ),
inference(forward_demodulation,[],[f7028,f1939]) ).
fof(f7028,plain,
( op2(e22,e20) != h1(op1(e11,e12))
| ~ spl72_49
| ~ spl72_58
| spl72_127 ),
inference(forward_demodulation,[],[f7027,f1090]) ).
fof(f7027,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| ~ spl72_58
| spl72_127 ),
inference(forward_demodulation,[],[f1425,f1133]) ).
fof(f7022,plain,
( ~ spl72_49
| ~ spl72_55
| spl72_126
| ~ spl72_181
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f7021]) ).
fof(f7021,plain,
( $false
| ~ spl72_49
| ~ spl72_55
| spl72_126
| ~ spl72_181
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f7020,f1661]) ).
fof(f7020,plain,
( e21 != op2(e22,e22)
| ~ spl72_49
| ~ spl72_55
| spl72_126
| ~ spl72_263 ),
inference(forward_demodulation,[],[f7019,f1119]) ).
fof(f7019,plain,
( op2(e22,e22) != h1(e10)
| ~ spl72_49
| spl72_126
| ~ spl72_263 ),
inference(forward_demodulation,[],[f7018,f2047]) ).
fof(f7018,plain,
( op2(e22,e22) != h1(op1(e11,e11))
| ~ spl72_49
| spl72_126 ),
inference(forward_demodulation,[],[f1421,f1090]) ).
fof(f7017,plain,
( ~ spl72_55
| spl72_124
| ~ spl72_137
| ~ spl72_142
| ~ spl72_205 ),
inference(avatar_contradiction_clause,[],[f7016]) ).
fof(f7016,plain,
( $false
| ~ spl72_55
| spl72_124
| ~ spl72_137
| ~ spl72_142
| ~ spl72_205 ),
inference(subsumption_resolution,[],[f7015,f1493]) ).
fof(f7015,plain,
( e23 != op2(e21,e23)
| ~ spl72_55
| spl72_124
| ~ spl72_137
| ~ spl72_205 ),
inference(forward_demodulation,[],[f7014,f1464]) ).
fof(f7014,plain,
( op2(e21,e23) != h1(e13)
| ~ spl72_55
| spl72_124
| ~ spl72_137
| ~ spl72_205 ),
inference(forward_demodulation,[],[f7013,f1793]) ).
fof(f7013,plain,
( op2(e21,e23) != h1(op1(e10,e13))
| ~ spl72_55
| spl72_124
| ~ spl72_137 ),
inference(forward_demodulation,[],[f7012,f1119]) ).
fof(f7012,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl72_124
| ~ spl72_137 ),
inference(forward_demodulation,[],[f1413,f1464]) ).
fof(f6999,plain,
( ~ spl72_55
| ~ spl72_58
| spl72_129
| ~ spl72_195
| ~ spl72_251 ),
inference(avatar_contradiction_clause,[],[f6998]) ).
fof(f6998,plain,
( $false
| ~ spl72_55
| ~ spl72_58
| spl72_129
| ~ spl72_195
| ~ spl72_251 ),
inference(subsumption_resolution,[],[f6997,f1725]) ).
fof(f1725,plain,
( e21 = op2(e20,e21)
| ~ spl72_195 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1723,plain,
( spl72_195
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_195])]) ).
fof(f6997,plain,
( e21 != op2(e20,e21)
| ~ spl72_55
| ~ spl72_58
| spl72_129
| ~ spl72_251 ),
inference(forward_demodulation,[],[f6996,f1119]) ).
fof(f6996,plain,
( op2(e20,e21) != h1(e10)
| ~ spl72_55
| ~ spl72_58
| spl72_129
| ~ spl72_251 ),
inference(forward_demodulation,[],[f6995,f1992]) ).
fof(f1992,plain,
( e10 = op1(e12,e10)
| ~ spl72_251 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f1990,plain,
( spl72_251
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_251])]) ).
fof(f6995,plain,
( op2(e20,e21) != h1(op1(e12,e10))
| ~ spl72_55
| ~ spl72_58
| spl72_129 ),
inference(forward_demodulation,[],[f6994,f1133]) ).
fof(f6994,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e21)
| ~ spl72_55
| spl72_129 ),
inference(forward_demodulation,[],[f1433,f1119]) ).
fof(f1433,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl72_129 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1431,plain,
( spl72_129
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_129])]) ).
fof(f6988,plain,
( ~ spl72_49
| ~ spl72_55
| spl72_125
| ~ spl72_137
| ~ spl72_173
| ~ spl72_255 ),
inference(avatar_contradiction_clause,[],[f6987]) ).
fof(f6987,plain,
( $false
| ~ spl72_49
| ~ spl72_55
| spl72_125
| ~ spl72_137
| ~ spl72_173
| ~ spl72_255 ),
inference(subsumption_resolution,[],[f6982,f1464]) ).
fof(f6982,plain,
( e23 != h1(e13)
| ~ spl72_49
| ~ spl72_55
| spl72_125
| ~ spl72_173
| ~ spl72_255 ),
inference(superposition,[],[f6924,f2010]) ).
fof(f6924,plain,
( e23 != h1(op1(e11,e10))
| ~ spl72_49
| ~ spl72_55
| spl72_125
| ~ spl72_173 ),
inference(forward_demodulation,[],[f6921,f1626]) ).
fof(f6921,plain,
( op2(e22,e21) != h1(op1(e11,e10))
| ~ spl72_49
| ~ spl72_55
| spl72_125 ),
inference(superposition,[],[f6629,f1090]) ).
fof(f6629,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e21)
| ~ spl72_55
| spl72_125 ),
inference(forward_demodulation,[],[f1417,f1119]) ).
fof(f6833,plain,
( ~ spl72_265
| ~ spl72_266 ),
inference(avatar_contradiction_clause,[],[f6832]) ).
fof(f6832,plain,
( $false
| ~ spl72_265
| ~ spl72_266 ),
inference(subsumption_resolution,[],[f6831,f259]) ).
fof(f259,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6831,plain,
( e12 = e13
| ~ spl72_265
| ~ spl72_266 ),
inference(forward_demodulation,[],[f2057,f2063]) ).
fof(f2063,plain,
( op1(e10,e10) = e12
| ~ spl72_266 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f2061,plain,
( spl72_266
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_266])]) ).
fof(f6815,plain,
( ~ spl72_162
| ~ spl72_15
| spl72_63
| ~ spl72_78
| ~ spl72_248 ),
inference(avatar_split_clause,[],[f6755,f1977,f1216,f1155,f926,f1577]) ).
fof(f1155,plain,
( spl72_63
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_63])]) ).
fof(f1977,plain,
( spl72_248
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_248])]) ).
fof(f6755,plain,
( e20 != op2(e20,e23)
| ~ spl72_15
| spl72_63
| ~ spl72_78
| ~ spl72_248 ),
inference(forward_demodulation,[],[f6754,f927]) ).
fof(f6754,plain,
( op2(e20,e23) != h4(e10)
| ~ spl72_15
| spl72_63
| ~ spl72_78
| ~ spl72_248 ),
inference(forward_demodulation,[],[f6753,f1979]) ).
fof(f1979,plain,
( e10 = op1(e10,e12)
| ~ spl72_248 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f6753,plain,
( op2(e20,e23) != h4(op1(e10,e12))
| ~ spl72_15
| spl72_63
| ~ spl72_78 ),
inference(forward_demodulation,[],[f6752,f927]) ).
fof(f6752,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| spl72_63
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1157,f1217]) ).
fof(f1157,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl72_63 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f6806,plain,
( ~ spl72_209
| ~ spl72_223 ),
inference(avatar_contradiction_clause,[],[f6805]) ).
fof(f6805,plain,
( $false
| ~ spl72_209
| ~ spl72_223 ),
inference(subsumption_resolution,[],[f6800,f258]) ).
fof(f258,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f6800,plain,
( e11 = e13
| ~ spl72_209
| ~ spl72_223 ),
inference(superposition,[],[f1810,f1870]) ).
fof(f1810,plain,
( e13 = op1(e13,e10)
| ~ spl72_209 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f1808,plain,
( spl72_209
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_209])]) ).
fof(f6650,plain,
( ~ spl72_141
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_205 ),
inference(avatar_split_clause,[],[f6649,f1791,f1295,f1243,f998,f1487]) ).
fof(f1487,plain,
( spl72_141
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_141])]) ).
fof(f6649,plain,
( e23 != op2(e20,e23)
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_205 ),
inference(forward_demodulation,[],[f6648,f1296]) ).
fof(f6648,plain,
( op2(e20,e23) != h3(e13)
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_205 ),
inference(forward_demodulation,[],[f6647,f1793]) ).
fof(f6647,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl72_30
| spl72_84
| ~ spl72_97 ),
inference(forward_demodulation,[],[f6646,f999]) ).
fof(f6646,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl72_84
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1245,f1296]) ).
fof(f6645,plain,
( ~ spl72_156
| ~ spl72_24
| spl72_88
| ~ spl72_97
| ~ spl72_220 ),
inference(avatar_split_clause,[],[f6644,f1855,f1295,f1259,f969,f1551]) ).
fof(f1551,plain,
( spl72_156
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_156])]) ).
fof(f1259,plain,
( spl72_88
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_88])]) ).
fof(f6644,plain,
( e21 != op2(e21,e23)
| ~ spl72_24
| spl72_88
| ~ spl72_97
| ~ spl72_220 ),
inference(forward_demodulation,[],[f6643,f970]) ).
fof(f6643,plain,
( op2(e21,e23) != h3(e11)
| ~ spl72_24
| spl72_88
| ~ spl72_97
| ~ spl72_220 ),
inference(forward_demodulation,[],[f6642,f1857]) ).
fof(f6642,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl72_24
| spl72_88
| ~ spl72_97 ),
inference(forward_demodulation,[],[f6641,f970]) ).
fof(f6641,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl72_88
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1261,f1296]) ).
fof(f1261,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl72_88 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f6640,plain,
( ~ spl72_165
| ~ spl72_30
| spl72_96
| ~ spl72_97
| ~ spl72_229 ),
inference(avatar_split_clause,[],[f6639,f1893,f1295,f1291,f998,f1589]) ).
fof(f1589,plain,
( spl72_165
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_165])]) ).
fof(f1291,plain,
( spl72_96
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_96])]) ).
fof(f6639,plain,
( e20 != op2(e23,e23)
| ~ spl72_30
| spl72_96
| ~ spl72_97
| ~ spl72_229 ),
inference(forward_demodulation,[],[f6638,f999]) ).
fof(f6638,plain,
( op2(e23,e23) != h3(e10)
| spl72_96
| ~ spl72_97
| ~ spl72_229 ),
inference(forward_demodulation,[],[f6637,f1895]) ).
fof(f6637,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl72_96
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1293,f1296]) ).
fof(f1293,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl72_96 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f6587,plain,
( ~ spl72_156
| ~ spl72_38
| spl72_112
| ~ spl72_117
| ~ spl72_214 ),
inference(avatar_split_clause,[],[f6586,f1829,f1379,f1359,f1036,f1551]) ).
fof(f1359,plain,
( spl72_112
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_112])]) ).
fof(f6586,plain,
( e21 != op2(e21,e23)
| ~ spl72_38
| spl72_112
| ~ spl72_117
| ~ spl72_214 ),
inference(forward_demodulation,[],[f6585,f1037]) ).
fof(f6585,plain,
( op2(e21,e23) != h2(e12)
| ~ spl72_38
| spl72_112
| ~ spl72_117
| ~ spl72_214 ),
inference(forward_demodulation,[],[f6584,f1831]) ).
fof(f6584,plain,
( op2(e21,e23) != h2(op1(e12,e13))
| ~ spl72_38
| spl72_112
| ~ spl72_117 ),
inference(forward_demodulation,[],[f6583,f1037]) ).
fof(f6583,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl72_112
| ~ spl72_117 ),
inference(forward_demodulation,[],[f1361,f1380]) ).
fof(f1380,plain,
( e23 = h2(e13)
| ~ spl72_117 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1361,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl72_112 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f6582,plain,
( ~ spl72_197
| ~ spl72_55
| ~ spl72_58
| spl72_123
| ~ spl72_248 ),
inference(avatar_split_clause,[],[f6446,f1977,f1407,f1132,f1118,f1732]) ).
fof(f1732,plain,
( spl72_197
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_197])]) ).
fof(f1407,plain,
( spl72_123
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_123])]) ).
fof(f6446,plain,
( e21 != op2(e21,e20)
| ~ spl72_55
| ~ spl72_58
| spl72_123
| ~ spl72_248 ),
inference(forward_demodulation,[],[f6442,f1119]) ).
fof(f6442,plain,
( op2(e21,e20) != h1(e10)
| ~ spl72_55
| ~ spl72_58
| spl72_123
| ~ spl72_248 ),
inference(superposition,[],[f5008,f1979]) ).
fof(f5008,plain,
( op2(e21,e20) != h1(op1(e10,e12))
| ~ spl72_55
| ~ spl72_58
| spl72_123 ),
inference(forward_demodulation,[],[f5007,f1119]) ).
fof(f5007,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e20)
| ~ spl72_58
| spl72_123 ),
inference(forward_demodulation,[],[f1409,f1133]) ).
fof(f1409,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl72_123 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f6577,plain,
( spl72_156
| ~ spl72_24
| ~ spl72_88
| ~ spl72_97
| ~ spl72_220 ),
inference(avatar_split_clause,[],[f6576,f1855,f1295,f1259,f969,f1551]) ).
fof(f6576,plain,
( e21 = op2(e21,e23)
| ~ spl72_24
| ~ spl72_88
| ~ spl72_97
| ~ spl72_220 ),
inference(forward_demodulation,[],[f6575,f970]) ).
fof(f6575,plain,
( op2(e21,e23) = h3(e11)
| ~ spl72_24
| ~ spl72_88
| ~ spl72_97
| ~ spl72_220 ),
inference(forward_demodulation,[],[f6382,f1857]) ).
fof(f6382,plain,
( op2(e21,e23) = h3(op1(e11,e13))
| ~ spl72_24
| ~ spl72_88
| ~ spl72_97 ),
inference(forward_demodulation,[],[f6381,f970]) ).
fof(f6381,plain,
( h3(op1(e11,e13)) = op2(h3(e11),e23)
| ~ spl72_88
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1260,f1296]) ).
fof(f1260,plain,
( h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
| ~ spl72_88 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f6545,plain,
( ~ spl72_266
| ~ spl72_267 ),
inference(avatar_contradiction_clause,[],[f6544]) ).
fof(f6544,plain,
( $false
| ~ spl72_266
| ~ spl72_267 ),
inference(subsumption_resolution,[],[f6537,f257]) ).
fof(f257,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f6537,plain,
( e11 = e12
| ~ spl72_266
| ~ spl72_267 ),
inference(superposition,[],[f2063,f2069]) ).
fof(f2069,plain,
( op1(e10,e10) = e11
| ~ spl72_267 ),
inference(avatar_component_clause,[],[f2067]) ).
fof(f2067,plain,
( spl72_267
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_267])]) ).
fof(f6448,plain,
( ~ spl72_18
| ~ spl72_30
| spl72_83
| ~ spl72_184
| ~ spl72_248 ),
inference(avatar_contradiction_clause,[],[f6447]) ).
fof(f6447,plain,
( $false
| ~ spl72_18
| ~ spl72_30
| spl72_83
| ~ spl72_184
| ~ spl72_248 ),
inference(subsumption_resolution,[],[f6443,f999]) ).
fof(f6443,plain,
( e20 != h3(e10)
| ~ spl72_18
| ~ spl72_30
| spl72_83
| ~ spl72_184
| ~ spl72_248 ),
inference(superposition,[],[f5900,f1979]) ).
fof(f5900,plain,
( e20 != h3(op1(e10,e12))
| ~ spl72_18
| ~ spl72_30
| spl72_83
| ~ spl72_184 ),
inference(forward_demodulation,[],[f5617,f1675]) ).
fof(f5617,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| ~ spl72_18
| ~ spl72_30
| spl72_83 ),
inference(forward_demodulation,[],[f5616,f999]) ).
fof(f5616,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| ~ spl72_18
| spl72_83 ),
inference(forward_demodulation,[],[f1241,f941]) ).
fof(f1241,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl72_83 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f1239,plain,
( spl72_83
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_83])]) ).
fof(f6380,plain,
( ~ spl72_205
| ~ spl72_219 ),
inference(avatar_contradiction_clause,[],[f6379]) ).
fof(f6379,plain,
( $false
| ~ spl72_205
| ~ spl72_219 ),
inference(subsumption_resolution,[],[f6375,f258]) ).
fof(f6375,plain,
( e11 = e13
| ~ spl72_205
| ~ spl72_219 ),
inference(superposition,[],[f1793,f1853]) ).
fof(f1853,plain,
( e11 = op1(e10,e13)
| ~ spl72_219 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f1851,plain,
( spl72_219
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_219])]) ).
fof(f6277,plain,
( ~ spl72_237
| ~ spl72_242 ),
inference(avatar_contradiction_clause,[],[f6276]) ).
fof(f6276,plain,
( $false
| ~ spl72_237
| ~ spl72_242 ),
inference(subsumption_resolution,[],[f6269,f259]) ).
fof(f6269,plain,
( e12 = e13
| ~ spl72_237
| ~ spl72_242 ),
inference(superposition,[],[f1930,f1952]) ).
fof(f1952,plain,
( e12 = op1(e12,e11)
| ~ spl72_242 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f1950,plain,
( spl72_242
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_242])]) ).
fof(f6183,plain,
( ~ spl72_215
| ~ spl72_229 ),
inference(avatar_contradiction_clause,[],[f6182]) ).
fof(f6182,plain,
( $false
| ~ spl72_215
| ~ spl72_229 ),
inference(subsumption_resolution,[],[f6177,f255]) ).
fof(f255,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f6177,plain,
( e10 = e12
| ~ spl72_215
| ~ spl72_229 ),
inference(superposition,[],[f1835,f1895]) ).
fof(f1835,plain,
( e12 = op1(e13,e13)
| ~ spl72_215 ),
inference(avatar_component_clause,[],[f1833]) ).
fof(f1833,plain,
( spl72_215
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_215])]) ).
fof(f6101,plain,
( ~ spl72_24
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_159
| ~ spl72_223 ),
inference(avatar_contradiction_clause,[],[f6100]) ).
fof(f6100,plain,
( $false
| ~ spl72_24
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_159
| ~ spl72_223 ),
inference(subsumption_resolution,[],[f6099,f1566]) ).
fof(f1566,plain,
( e21 = op2(e23,e20)
| ~ spl72_159 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1564,plain,
( spl72_159
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_159])]) ).
fof(f6099,plain,
( e21 != op2(e23,e20)
| ~ spl72_24
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_223 ),
inference(forward_demodulation,[],[f6098,f970]) ).
fof(f6098,plain,
( op2(e23,e20) != h3(e11)
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_223 ),
inference(superposition,[],[f5741,f1870]) ).
fof(f5741,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| ~ spl72_30
| spl72_93
| ~ spl72_97 ),
inference(forward_demodulation,[],[f5740,f1296]) ).
fof(f5740,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| ~ spl72_30
| spl72_93 ),
inference(forward_demodulation,[],[f1281,f999]) ).
fof(f6067,plain,
( ~ spl72_44
| ~ spl72_108
| ~ spl72_117
| spl72_162
| ~ spl72_220 ),
inference(avatar_contradiction_clause,[],[f6066]) ).
fof(f6066,plain,
( $false
| ~ spl72_44
| ~ spl72_108
| ~ spl72_117
| spl72_162
| ~ spl72_220 ),
inference(subsumption_resolution,[],[f6065,f1578]) ).
fof(f1578,plain,
( e20 != op2(e20,e23)
| spl72_162 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f6065,plain,
( e20 = op2(e20,e23)
| ~ spl72_44
| ~ spl72_108
| ~ spl72_117
| ~ spl72_220 ),
inference(forward_demodulation,[],[f6060,f1066]) ).
fof(f6060,plain,
( op2(e20,e23) = h2(e11)
| ~ spl72_44
| ~ spl72_108
| ~ spl72_117
| ~ spl72_220 ),
inference(superposition,[],[f5924,f1857]) ).
fof(f5924,plain,
( op2(e20,e23) = h2(op1(e11,e13))
| ~ spl72_44
| ~ spl72_108
| ~ spl72_117 ),
inference(forward_demodulation,[],[f4961,f1380]) ).
fof(f4961,plain,
( h2(op1(e11,e13)) = op2(e20,h2(e13))
| ~ spl72_44
| ~ spl72_108 ),
inference(forward_demodulation,[],[f1344,f1066]) ).
fof(f1344,plain,
( h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
| ~ spl72_108 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f1343,plain,
( spl72_108
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_108])]) ).
fof(f6032,plain,
( ~ spl72_18
| spl72_95
| ~ spl72_97
| ~ spl72_147
| ~ spl72_211 ),
inference(avatar_contradiction_clause,[],[f6031]) ).
fof(f6031,plain,
( $false
| ~ spl72_18
| spl72_95
| ~ spl72_97
| ~ spl72_147
| ~ spl72_211 ),
inference(subsumption_resolution,[],[f6027,f1296]) ).
fof(f6027,plain,
( e23 != h3(e13)
| ~ spl72_18
| spl72_95
| ~ spl72_97
| ~ spl72_147
| ~ spl72_211 ),
inference(superposition,[],[f5898,f1818]) ).
fof(f5898,plain,
( e23 != h3(op1(e13,e12))
| ~ spl72_18
| spl72_95
| ~ spl72_97
| ~ spl72_147 ),
inference(forward_demodulation,[],[f5602,f1514]) ).
fof(f5602,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| ~ spl72_18
| spl72_95
| ~ spl72_97 ),
inference(forward_demodulation,[],[f5601,f1296]) ).
fof(f5601,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e22)
| ~ spl72_18
| spl72_95 ),
inference(forward_demodulation,[],[f1289,f941]) ).
fof(f1289,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl72_95 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1287,plain,
( spl72_95
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_95])]) ).
fof(f5914,plain,
( ~ spl72_246
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f4116,f1963,f1968]) ).
fof(f1968,plain,
( spl72_246
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_246])]) ).
fof(f4116,plain,
( e11 != op1(e12,e10)
| ~ spl72_245 ),
inference(forward_demodulation,[],[f313,f1965]) ).
fof(f313,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5912,plain,
( ~ spl72_262
| ~ spl72_263 ),
inference(avatar_split_clause,[],[f5773,f2045,f2041]) ).
fof(f2041,plain,
( spl72_262
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_262])]) ).
fof(f5773,plain,
( e10 != op1(e10,e11)
| ~ spl72_263 ),
inference(forward_demodulation,[],[f282,f2047]) ).
fof(f282,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5902,plain,
( ~ spl72_248
| ~ spl72_226 ),
inference(avatar_split_clause,[],[f4719,f1881,f1977]) ).
fof(f1881,plain,
( spl72_226
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_226])]) ).
fof(f4719,plain,
( e10 != op1(e10,e12)
| ~ spl72_226 ),
inference(forward_demodulation,[],[f305,f1883]) ).
fof(f1883,plain,
( e10 = op1(e10,e13)
| ~ spl72_226 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f305,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5901,plain,
( ~ spl72_247
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f4118,f1963,f1972]) ).
fof(f1972,plain,
( spl72_247
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_247])]) ).
fof(f4118,plain,
( e11 != op1(e12,e11)
| ~ spl72_245 ),
inference(forward_demodulation,[],[f315,f1965]) ).
fof(f315,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5897,plain,
( ~ spl72_225
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f4587,f1963,f1876]) ).
fof(f1876,plain,
( spl72_225
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_225])]) ).
fof(f4587,plain,
( e11 != op1(e13,e12)
| ~ spl72_245 ),
inference(forward_demodulation,[],[f293,f1965]) ).
fof(f293,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5896,plain,
( ~ spl72_229
| ~ spl72_226 ),
inference(avatar_split_clause,[],[f5817,f1881,f1893]) ).
fof(f5817,plain,
( e10 != op1(e13,e13)
| ~ spl72_226 ),
inference(forward_demodulation,[],[f296,f1883]) ).
fof(f296,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5895,plain,
( ~ spl72_255
| ~ spl72_209 ),
inference(avatar_split_clause,[],[f5821,f1808,f2008]) ).
fof(f5821,plain,
( e13 != op1(e11,e10)
| ~ spl72_209 ),
inference(forward_demodulation,[],[f280,f1810]) ).
fof(f280,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5891,plain,
( ~ spl72_142
| ~ spl72_24
| spl72_88
| ~ spl72_97
| ~ spl72_206 ),
inference(avatar_split_clause,[],[f5890,f1795,f1295,f1259,f969,f1491]) ).
fof(f1795,plain,
( spl72_206
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_206])]) ).
fof(f5890,plain,
( e23 != op2(e21,e23)
| ~ spl72_24
| spl72_88
| ~ spl72_97
| ~ spl72_206 ),
inference(forward_demodulation,[],[f5889,f1296]) ).
fof(f5889,plain,
( op2(e21,e23) != h3(e13)
| ~ spl72_24
| spl72_88
| ~ spl72_97
| ~ spl72_206 ),
inference(forward_demodulation,[],[f5888,f1797]) ).
fof(f1797,plain,
( e13 = op1(e11,e13)
| ~ spl72_206 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f5888,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl72_24
| spl72_88
| ~ spl72_97 ),
inference(forward_demodulation,[],[f5887,f970]) ).
fof(f5887,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl72_88
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1261,f1296]) ).
fof(f5884,plain,
( ~ spl72_264
| ~ spl72_263 ),
inference(avatar_split_clause,[],[f5820,f2045,f2050]) ).
fof(f2050,plain,
( spl72_264
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_264])]) ).
fof(f5820,plain,
( e10 != op1(e11,e10)
| ~ spl72_263 ),
inference(forward_demodulation,[],[f306,f2047]) ).
fof(f306,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5882,plain,
( ~ spl72_228
| ~ spl72_251 ),
inference(avatar_split_clause,[],[f5810,f1990,f1889]) ).
fof(f5810,plain,
( e10 != op1(e12,e13)
| ~ spl72_251 ),
inference(forward_demodulation,[],[f314,f1992]) ).
fof(f314,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5881,plain,
( ~ spl72_228
| ~ spl72_226 ),
inference(avatar_split_clause,[],[f5813,f1881,f1889]) ).
fof(f5813,plain,
( e10 != op1(e12,e13)
| ~ spl72_226 ),
inference(forward_demodulation,[],[f295,f1883]) ).
fof(f295,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5824,plain,
( ~ spl72_258
| ~ spl72_239 ),
inference(avatar_split_clause,[],[f5823,f1937,f2022]) ).
fof(f2022,plain,
( spl72_258
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_258])]) ).
fof(f5823,plain,
( e12 != op1(e11,e10)
| ~ spl72_239 ),
inference(forward_demodulation,[],[f307,f1939]) ).
fof(f307,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5812,plain,
( ~ spl72_207
| ~ spl72_206 ),
inference(avatar_split_clause,[],[f5811,f1795,f1799]) ).
fof(f1799,plain,
( spl72_207
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_207])]) ).
fof(f5811,plain,
( e13 != op1(e12,e13)
| ~ spl72_206 ),
inference(forward_demodulation,[],[f297,f1797]) ).
fof(f297,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5785,plain,
( ~ spl72_268
| ~ spl72_251 ),
inference(avatar_split_clause,[],[f4704,f1990,f2073]) ).
fof(f2073,plain,
( spl72_268
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_268])]) ).
fof(f4704,plain,
( e10 != op1(e10,e10)
| ~ spl72_251 ),
inference(forward_demodulation,[],[f277,f1992]) ).
fof(f277,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5784,plain,
( ~ spl72_268
| ~ spl72_226 ),
inference(avatar_split_clause,[],[f4718,f1881,f2073]) ).
fof(f4718,plain,
( e10 != op1(e10,e10)
| ~ spl72_226 ),
inference(forward_demodulation,[],[f302,f1883]) ).
fof(f302,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5767,plain,
( ~ spl72_243
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f4090,f1963,f1955]) ).
fof(f1955,plain,
( spl72_243
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_243])]) ).
fof(f4090,plain,
( e11 != op1(e10,e12)
| ~ spl72_245 ),
inference(forward_demodulation,[],[f289,f1965]) ).
fof(f289,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5766,plain,
( ~ spl72_224
| ~ spl72_222 ),
inference(avatar_split_clause,[],[f4730,f1863,f1872]) ).
fof(f1872,plain,
( spl72_224
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_224])]) ).
fof(f1863,plain,
( spl72_222
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_222])]) ).
fof(f4730,plain,
( e11 != op1(e13,e11)
| ~ spl72_222 ),
inference(forward_demodulation,[],[f322,f1865]) ).
fof(f1865,plain,
( e11 = op1(e13,e13)
| ~ spl72_222 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f322,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5765,plain,
( ~ spl72_220
| ~ spl72_261 ),
inference(avatar_split_clause,[],[f4507,f2036,f1855]) ).
fof(f2036,plain,
( spl72_261
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_261])]) ).
fof(f4507,plain,
( e11 != op1(e11,e13)
| ~ spl72_261 ),
inference(forward_demodulation,[],[f308,f2038]) ).
fof(f2038,plain,
( e11 = op1(e11,e10)
| ~ spl72_261 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f308,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5763,plain,
( ~ spl72_9
| ~ spl72_15
| spl72_65
| ~ spl72_197
| ~ spl72_261 ),
inference(avatar_contradiction_clause,[],[f5762]) ).
fof(f5762,plain,
( $false
| ~ spl72_9
| ~ spl72_15
| spl72_65
| ~ spl72_197
| ~ spl72_261 ),
inference(subsumption_resolution,[],[f5761,f1734]) ).
fof(f1734,plain,
( e21 = op2(e21,e20)
| ~ spl72_197 ),
inference(avatar_component_clause,[],[f1732]) ).
fof(f5761,plain,
( e21 != op2(e21,e20)
| ~ spl72_9
| ~ spl72_15
| spl72_65
| ~ spl72_261 ),
inference(forward_demodulation,[],[f5760,f898]) ).
fof(f898,plain,
( e21 = h4(e11)
| ~ spl72_9 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f897,plain,
( spl72_9
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).
fof(f5760,plain,
( op2(e21,e20) != h4(e11)
| ~ spl72_9
| ~ spl72_15
| spl72_65
| ~ spl72_261 ),
inference(forward_demodulation,[],[f5759,f2038]) ).
fof(f5759,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| ~ spl72_9
| ~ spl72_15
| spl72_65 ),
inference(forward_demodulation,[],[f5758,f898]) ).
fof(f5758,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| ~ spl72_15
| spl72_65 ),
inference(forward_demodulation,[],[f1165,f927]) ).
fof(f1165,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl72_65 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1163,plain,
( spl72_65
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_65])]) ).
fof(f5753,plain,
( ~ spl72_9
| spl72_67
| ~ spl72_78
| ~ spl72_142
| ~ spl72_239 ),
inference(avatar_contradiction_clause,[],[f5752]) ).
fof(f5752,plain,
( $false
| ~ spl72_9
| spl72_67
| ~ spl72_78
| ~ spl72_142
| ~ spl72_239 ),
inference(subsumption_resolution,[],[f5751,f1493]) ).
fof(f5751,plain,
( e23 != op2(e21,e23)
| ~ spl72_9
| spl72_67
| ~ spl72_78
| ~ spl72_239 ),
inference(forward_demodulation,[],[f5750,f1217]) ).
fof(f5750,plain,
( op2(e21,e23) != h4(e12)
| ~ spl72_9
| spl72_67
| ~ spl72_78
| ~ spl72_239 ),
inference(forward_demodulation,[],[f5749,f1939]) ).
fof(f5749,plain,
( op2(e21,e23) != h4(op1(e11,e12))
| ~ spl72_9
| spl72_67
| ~ spl72_78 ),
inference(forward_demodulation,[],[f5748,f898]) ).
fof(f5748,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| spl72_67
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1173,f1217]) ).
fof(f1173,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl72_67 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1171,plain,
( spl72_67
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_67])]) ).
fof(f5735,plain,
( ~ spl72_2
| ~ spl72_15
| spl72_73
| ~ spl72_177
| ~ spl72_209 ),
inference(avatar_contradiction_clause,[],[f5734]) ).
fof(f5734,plain,
( $false
| ~ spl72_2
| ~ spl72_15
| spl72_73
| ~ spl72_177
| ~ spl72_209 ),
inference(subsumption_resolution,[],[f5733,f1644]) ).
fof(f5733,plain,
( e22 != op2(e22,e20)
| ~ spl72_2
| ~ spl72_15
| spl72_73
| ~ spl72_209 ),
inference(forward_demodulation,[],[f5729,f864]) ).
fof(f5729,plain,
( op2(e22,e20) != h4(e13)
| ~ spl72_2
| ~ spl72_15
| spl72_73
| ~ spl72_209 ),
inference(superposition,[],[f5331,f1810]) ).
fof(f5331,plain,
( op2(e22,e20) != h4(op1(e13,e10))
| ~ spl72_2
| ~ spl72_15
| spl72_73 ),
inference(forward_demodulation,[],[f5330,f864]) ).
fof(f5330,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| ~ spl72_15
| spl72_73 ),
inference(forward_demodulation,[],[f1197,f927]) ).
fof(f5624,plain,
( ~ spl72_202
| ~ spl72_18
| ~ spl72_30
| spl72_81
| ~ spl72_266 ),
inference(avatar_split_clause,[],[f5623,f2061,f1231,f998,f940,f1757]) ).
fof(f5623,plain,
( op2(e20,e20) != e22
| ~ spl72_18
| ~ spl72_30
| spl72_81
| ~ spl72_266 ),
inference(forward_demodulation,[],[f5622,f941]) ).
fof(f5622,plain,
( op2(e20,e20) != h3(e12)
| ~ spl72_30
| spl72_81
| ~ spl72_266 ),
inference(forward_demodulation,[],[f5621,f2063]) ).
fof(f5621,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl72_30
| spl72_81 ),
inference(forward_demodulation,[],[f1233,f999]) ).
fof(f5620,plain,
( ~ spl72_169
| ~ spl72_18
| ~ spl72_30
| spl72_83
| ~ spl72_97
| ~ spl72_233 ),
inference(avatar_split_clause,[],[f5619,f1911,f1295,f1239,f998,f940,f1607]) ).
fof(f1911,plain,
( spl72_233
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_233])]) ).
fof(f5619,plain,
( e23 != op2(e20,e22)
| ~ spl72_18
| ~ spl72_30
| spl72_83
| ~ spl72_97
| ~ spl72_233 ),
inference(forward_demodulation,[],[f5618,f1296]) ).
fof(f5618,plain,
( op2(e20,e22) != h3(e13)
| ~ spl72_18
| ~ spl72_30
| spl72_83
| ~ spl72_233 ),
inference(forward_demodulation,[],[f5617,f1913]) ).
fof(f1913,plain,
( e13 = op1(e10,e12)
| ~ spl72_233 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f5615,plain,
( ~ spl72_187
| ~ spl72_18
| ~ spl72_30
| spl72_89
| ~ spl72_251 ),
inference(avatar_split_clause,[],[f5614,f1990,f1263,f998,f940,f1686]) ).
fof(f5614,plain,
( e20 != op2(e22,e20)
| ~ spl72_18
| ~ spl72_30
| spl72_89
| ~ spl72_251 ),
inference(forward_demodulation,[],[f5613,f999]) ).
fof(f5613,plain,
( op2(e22,e20) != h3(e10)
| ~ spl72_18
| ~ spl72_30
| spl72_89
| ~ spl72_251 ),
inference(forward_demodulation,[],[f5612,f1992]) ).
fof(f5612,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| ~ spl72_18
| ~ spl72_30
| spl72_89 ),
inference(forward_demodulation,[],[f5611,f941]) ).
fof(f5611,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl72_30
| spl72_89 ),
inference(forward_demodulation,[],[f1265,f999]) ).
fof(f5610,plain,
( ~ spl72_150
| ~ spl72_18
| spl72_92
| ~ spl72_97
| ~ spl72_214 ),
inference(avatar_split_clause,[],[f5609,f1829,f1295,f1275,f940,f1525]) ).
fof(f5609,plain,
( e22 != op2(e22,e23)
| ~ spl72_18
| spl72_92
| ~ spl72_97
| ~ spl72_214 ),
inference(forward_demodulation,[],[f5608,f941]) ).
fof(f5608,plain,
( op2(e22,e23) != h3(e12)
| ~ spl72_18
| spl72_92
| ~ spl72_97
| ~ spl72_214 ),
inference(forward_demodulation,[],[f5607,f1831]) ).
fof(f5607,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| ~ spl72_18
| spl72_92
| ~ spl72_97 ),
inference(forward_demodulation,[],[f5606,f941]) ).
fof(f5606,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl72_92
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1277,f1296]) ).
fof(f5605,plain,
( ~ spl72_168
| ~ spl72_18
| ~ spl72_30
| spl72_95
| ~ spl72_97
| ~ spl72_232 ),
inference(avatar_split_clause,[],[f5604,f1906,f1295,f1287,f998,f940,f1602]) ).
fof(f1906,plain,
( spl72_232
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_232])]) ).
fof(f5604,plain,
( e20 != op2(e23,e22)
| ~ spl72_18
| ~ spl72_30
| spl72_95
| ~ spl72_97
| ~ spl72_232 ),
inference(forward_demodulation,[],[f5603,f999]) ).
fof(f5603,plain,
( op2(e23,e22) != h3(e10)
| ~ spl72_18
| spl72_95
| ~ spl72_97
| ~ spl72_232 ),
inference(forward_demodulation,[],[f5602,f1908]) ).
fof(f1908,plain,
( e10 = op1(e13,e12)
| ~ spl72_232 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f5600,plain,
( ~ spl72_162
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_226 ),
inference(avatar_split_clause,[],[f5599,f1881,f1295,f1243,f998,f1577]) ).
fof(f5599,plain,
( e20 != op2(e20,e23)
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_226 ),
inference(forward_demodulation,[],[f5598,f999]) ).
fof(f5598,plain,
( op2(e20,e23) != h3(e10)
| ~ spl72_30
| spl72_84
| ~ spl72_97
| ~ spl72_226 ),
inference(forward_demodulation,[],[f5597,f1883]) ).
fof(f5597,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl72_30
| spl72_84
| ~ spl72_97 ),
inference(forward_demodulation,[],[f5596,f999]) ).
fof(f5596,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl72_84
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1245,f1296]) ).
fof(f5588,plain,
( ~ spl72_201
| ~ spl72_15
| spl72_61
| ~ spl72_78
| ~ spl72_266 ),
inference(avatar_split_clause,[],[f5185,f2061,f1216,f1147,f926,f1751]) ).
fof(f5185,plain,
( op2(e20,e20) != e23
| ~ spl72_15
| spl72_61
| ~ spl72_78
| ~ spl72_266 ),
inference(superposition,[],[f5050,f927]) ).
fof(f5050,plain,
( e23 != op2(h4(e10),h4(e10))
| spl72_61
| ~ spl72_78
| ~ spl72_266 ),
inference(forward_demodulation,[],[f5049,f1217]) ).
fof(f5049,plain,
( h4(e12) != op2(h4(e10),h4(e10))
| spl72_61
| ~ spl72_266 ),
inference(forward_demodulation,[],[f1149,f2063]) ).
fof(f5585,plain,
( ~ spl72_184
| ~ spl72_2
| ~ spl72_15
| spl72_64
| ~ spl72_226 ),
inference(avatar_split_clause,[],[f5319,f1881,f1159,f926,f863,f1673]) ).
fof(f5319,plain,
( e20 != op2(e20,e22)
| ~ spl72_2
| ~ spl72_15
| spl72_64
| ~ spl72_226 ),
inference(superposition,[],[f5263,f864]) ).
fof(f5263,plain,
( e20 != op2(e20,h4(e13))
| ~ spl72_15
| spl72_64
| ~ spl72_226 ),
inference(forward_demodulation,[],[f5262,f927]) ).
fof(f5262,plain,
( h4(e10) != op2(e20,h4(e13))
| ~ spl72_15
| spl72_64
| ~ spl72_226 ),
inference(forward_demodulation,[],[f5261,f1883]) ).
fof(f5261,plain,
( h4(op1(e10,e13)) != op2(e20,h4(e13))
| ~ spl72_15
| spl72_64 ),
inference(forward_demodulation,[],[f1161,f927]) ).
fof(f5580,plain,
( ~ spl72_166
| ~ spl72_15
| spl72_69
| ~ spl72_78
| ~ spl72_251 ),
inference(avatar_split_clause,[],[f5186,f1990,f1216,f1179,f926,f1594]) ).
fof(f5186,plain,
( e20 != op2(e23,e20)
| ~ spl72_15
| spl72_69
| ~ spl72_78
| ~ spl72_251 ),
inference(superposition,[],[f5052,f927]) ).
fof(f5052,plain,
( h4(e10) != op2(e23,h4(e10))
| spl72_69
| ~ spl72_78
| ~ spl72_251 ),
inference(forward_demodulation,[],[f5051,f1992]) ).
fof(f5051,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| spl72_69
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1181,f1217]) ).
fof(f5579,plain,
( ~ spl72_164
| ~ spl72_2
| ~ spl72_15
| spl72_75
| ~ spl72_78
| ~ spl72_232 ),
inference(avatar_split_clause,[],[f5318,f1906,f1216,f1203,f926,f863,f1585]) ).
fof(f5318,plain,
( e20 != op2(e22,e23)
| ~ spl72_2
| ~ spl72_15
| spl72_75
| ~ spl72_78
| ~ spl72_232 ),
inference(superposition,[],[f5260,f864]) ).
fof(f5260,plain,
( e20 != op2(h4(e13),e23)
| ~ spl72_15
| spl72_75
| ~ spl72_78
| ~ spl72_232 ),
inference(forward_demodulation,[],[f5259,f927]) ).
fof(f5259,plain,
( h4(e10) != op2(h4(e13),e23)
| spl72_75
| ~ spl72_78
| ~ spl72_232 ),
inference(forward_demodulation,[],[f4661,f1908]) ).
fof(f4661,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl72_75
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1205,f1217]) ).
fof(f5577,plain,
( ~ spl72_148
| ~ spl72_2
| ~ spl72_15
| spl72_63
| ~ spl72_78
| ~ spl72_233 ),
inference(avatar_split_clause,[],[f5576,f1911,f1216,f1155,f926,f863,f1517]) ).
fof(f5576,plain,
( e22 != op2(e20,e23)
| ~ spl72_2
| ~ spl72_15
| spl72_63
| ~ spl72_78
| ~ spl72_233 ),
inference(forward_demodulation,[],[f5253,f864]) ).
fof(f5253,plain,
( op2(e20,e23) != h4(e13)
| ~ spl72_15
| spl72_63
| ~ spl72_78
| ~ spl72_233 ),
inference(forward_demodulation,[],[f5059,f927]) ).
fof(f5059,plain,
( h4(e13) != op2(h4(e10),e23)
| spl72_63
| ~ spl72_78
| ~ spl72_233 ),
inference(forward_demodulation,[],[f4595,f1913]) ).
fof(f4595,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| spl72_63
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1157,f1217]) ).
fof(f5571,plain,
( ~ spl72_147
| ~ spl72_2
| spl72_72
| ~ spl72_78
| ~ spl72_214 ),
inference(avatar_split_clause,[],[f5320,f1829,f1216,f1191,f863,f1512]) ).
fof(f5320,plain,
( e23 != op2(e23,e22)
| ~ spl72_2
| spl72_72
| ~ spl72_78
| ~ spl72_214 ),
inference(superposition,[],[f5266,f864]) ).
fof(f5266,plain,
( e23 != op2(e23,h4(e13))
| spl72_72
| ~ spl72_78
| ~ spl72_214 ),
inference(forward_demodulation,[],[f5265,f1217]) ).
fof(f5265,plain,
( h4(e12) != op2(e23,h4(e13))
| spl72_72
| ~ spl72_78
| ~ spl72_214 ),
inference(forward_demodulation,[],[f5264,f1831]) ).
fof(f5264,plain,
( h4(op1(e12,e13)) != op2(e23,h4(e13))
| spl72_72
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1193,f1217]) ).
fof(f5549,plain,
( spl72_237
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f4337,f1963,f1928]) ).
fof(f4337,plain,
( e13 = op1(e12,e11)
| ~ spl72_245 ),
inference(forward_demodulation,[],[f377,f1965]) ).
fof(f377,plain,
e13 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(e12,op1(e12,e12))
& e11 = op1(e12,e12)
& e10 = op1(op1(e12,e12),op1(e12,e12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5543,plain,
( ~ spl72_216
| ~ spl72_266 ),
inference(avatar_split_clause,[],[f5542,f2061,f1838]) ).
fof(f1838,plain,
( spl72_216
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_216])]) ).
fof(f5542,plain,
( e12 != op1(e13,e10)
| ~ spl72_266 ),
inference(forward_demodulation,[],[f278,f2063]) ).
fof(f278,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5528,plain,
( ~ spl72_210
| ~ spl72_237 ),
inference(avatar_split_clause,[],[f4551,f1928,f1812]) ).
fof(f1812,plain,
( spl72_210
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_210])]) ).
fof(f4551,plain,
( e13 != op1(e13,e11)
| ~ spl72_237 ),
inference(forward_demodulation,[],[f287,f1930]) ).
fof(f287,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5523,plain,
( ~ spl72_24
| spl72_96
| ~ spl72_97
| ~ spl72_158
| ~ spl72_222 ),
inference(avatar_contradiction_clause,[],[f5522]) ).
fof(f5522,plain,
( $false
| ~ spl72_24
| spl72_96
| ~ spl72_97
| ~ spl72_158
| ~ spl72_222 ),
inference(subsumption_resolution,[],[f5521,f1561]) ).
fof(f5521,plain,
( e21 != op2(e23,e23)
| ~ spl72_24
| spl72_96
| ~ spl72_97
| ~ spl72_222 ),
inference(forward_demodulation,[],[f5520,f970]) ).
fof(f5520,plain,
( op2(e23,e23) != h3(e11)
| spl72_96
| ~ spl72_97
| ~ spl72_222 ),
inference(forward_demodulation,[],[f5519,f1865]) ).
fof(f5519,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl72_96
| ~ spl72_97 ),
inference(forward_demodulation,[],[f1293,f1296]) ).
fof(f5504,plain,
( ~ spl72_18
| ~ spl72_24
| spl72_94
| ~ spl72_97
| ~ spl72_153
| ~ spl72_217 ),
inference(avatar_contradiction_clause,[],[f5503]) ).
fof(f5503,plain,
( $false
| ~ spl72_18
| ~ spl72_24
| spl72_94
| ~ spl72_97
| ~ spl72_153
| ~ spl72_217 ),
inference(subsumption_resolution,[],[f5502,f1540]) ).
fof(f5502,plain,
( e22 != op2(e23,e21)
| ~ spl72_18
| ~ spl72_24
| spl72_94
| ~ spl72_97
| ~ spl72_217 ),
inference(forward_demodulation,[],[f5501,f941]) ).
fof(f5501,plain,
( op2(e23,e21) != h3(e12)
| ~ spl72_24
| spl72_94
| ~ spl72_97
| ~ spl72_217 ),
inference(forward_demodulation,[],[f5500,f1844]) ).
fof(f5500,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| ~ spl72_24
| spl72_94
| ~ spl72_97 ),
inference(forward_demodulation,[],[f5499,f1296]) ).
fof(f5499,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| ~ spl72_24
| spl72_94 ),
inference(forward_demodulation,[],[f1285,f970]) ).
fof(f1285,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl72_94 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1283,plain,
( spl72_94
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_94])]) ).
fof(f5494,plain,
( ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_145
| ~ spl72_209 ),
inference(avatar_contradiction_clause,[],[f5493]) ).
fof(f5493,plain,
( $false
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_145
| ~ spl72_209 ),
inference(subsumption_resolution,[],[f5492,f1506]) ).
fof(f5492,plain,
( e23 != op2(e23,e20)
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_209 ),
inference(forward_demodulation,[],[f5491,f1296]) ).
fof(f5491,plain,
( op2(e23,e20) != h3(e13)
| ~ spl72_30
| spl72_93
| ~ spl72_97
| ~ spl72_209 ),
inference(forward_demodulation,[],[f5490,f1810]) ).
fof(f5490,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| ~ spl72_30
| spl72_93
| ~ spl72_97 ),
inference(forward_demodulation,[],[f5489,f1296]) ).
fof(f5489,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| ~ spl72_30
| spl72_93 ),
inference(forward_demodulation,[],[f1281,f999]) ).
fof(f5475,plain,
( ~ spl72_18
| ~ spl72_24
| spl72_91
| ~ spl72_181
| ~ spl72_245 ),
inference(avatar_contradiction_clause,[],[f5474]) ).
fof(f5474,plain,
( $false
| ~ spl72_18
| ~ spl72_24
| spl72_91
| ~ spl72_181
| ~ spl72_245 ),
inference(subsumption_resolution,[],[f5473,f1661]) ).
fof(f5473,plain,
( e21 != op2(e22,e22)
| ~ spl72_18
| ~ spl72_24
| spl72_91
| ~ spl72_245 ),
inference(forward_demodulation,[],[f5472,f970]) ).
fof(f5472,plain,
( op2(e22,e22) != h3(e11)
| ~ spl72_18
| spl72_91
| ~ spl72_245 ),
inference(forward_demodulation,[],[f5471,f1965]) ).
fof(f5471,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| ~ spl72_18
| spl72_91 ),
inference(forward_demodulation,[],[f1273,f941]) ).
fof(f1273,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl72_91 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1271,plain,
( spl72_91
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_91])]) ).
fof(f5466,plain,
( ~ spl72_18
| ~ spl72_24
| spl72_90
| ~ spl72_97
| ~ spl72_173
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f5465]) ).
fof(f5465,plain,
( $false
| ~ spl72_18
| ~ spl72_24
| spl72_90
| ~ spl72_97
| ~ spl72_173
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f5464,f1626]) ).
fof(f5464,plain,
( e23 != op2(e22,e21)
| ~ spl72_18
| ~ spl72_24
| spl72_90
| ~ spl72_97
| ~ spl72_237 ),
inference(forward_demodulation,[],[f5463,f1296]) ).
fof(f5463,plain,
( op2(e22,e21) != h3(e13)
| ~ spl72_18
| ~ spl72_24
| spl72_90
| ~ spl72_237 ),
inference(forward_demodulation,[],[f5462,f1930]) ).
fof(f5462,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| ~ spl72_18
| ~ spl72_24
| spl72_90 ),
inference(forward_demodulation,[],[f5461,f941]) ).
fof(f5461,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| ~ spl72_24
| spl72_90 ),
inference(forward_demodulation,[],[f1269,f970]) ).
fof(f1269,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl72_90 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1267,plain,
( spl72_90
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_90])]) ).
fof(f5437,plain,
( ~ spl72_18
| ~ spl72_24
| spl72_87
| ~ spl72_175
| ~ spl72_239 ),
inference(avatar_contradiction_clause,[],[f5436]) ).
fof(f5436,plain,
( $false
| ~ spl72_18
| ~ spl72_24
| spl72_87
| ~ spl72_175
| ~ spl72_239 ),
inference(subsumption_resolution,[],[f5435,f1635]) ).
fof(f5435,plain,
( e22 != op2(e21,e22)
| ~ spl72_18
| ~ spl72_24
| spl72_87
| ~ spl72_239 ),
inference(forward_demodulation,[],[f5434,f941]) ).
fof(f5434,plain,
( op2(e21,e22) != h3(e12)
| ~ spl72_18
| ~ spl72_24
| spl72_87
| ~ spl72_239 ),
inference(forward_demodulation,[],[f5433,f1939]) ).
fof(f5433,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| ~ spl72_18
| ~ spl72_24
| spl72_87 ),
inference(forward_demodulation,[],[f5432,f970]) ).
fof(f5432,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl72_18
| spl72_87 ),
inference(forward_demodulation,[],[f1257,f941]) ).
fof(f1257,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl72_87 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1255,plain,
( spl72_87
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_87])]) ).
fof(f5427,plain,
( ~ spl72_24
| ~ spl72_30
| spl72_86
| ~ spl72_199
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f5426]) ).
fof(f5426,plain,
( $false
| ~ spl72_24
| ~ spl72_30
| spl72_86
| ~ spl72_199
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f5425,f1743]) ).
fof(f1743,plain,
( e20 = op2(e21,e21)
| ~ spl72_199 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl72_199
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_199])]) ).
fof(f5425,plain,
( e20 != op2(e21,e21)
| ~ spl72_24
| ~ spl72_30
| spl72_86
| ~ spl72_263 ),
inference(forward_demodulation,[],[f5424,f999]) ).
fof(f5424,plain,
( op2(e21,e21) != h3(e10)
| ~ spl72_24
| spl72_86
| ~ spl72_263 ),
inference(forward_demodulation,[],[f5423,f2047]) ).
fof(f5423,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl72_24
| spl72_86 ),
inference(forward_demodulation,[],[f1253,f970]) ).
fof(f1253,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl72_86 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1251,plain,
( spl72_86
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_86])]) ).
fof(f5418,plain,
( ~ spl72_24
| ~ spl72_30
| spl72_85
| ~ spl72_197
| ~ spl72_261 ),
inference(avatar_contradiction_clause,[],[f5417]) ).
fof(f5417,plain,
( $false
| ~ spl72_24
| ~ spl72_30
| spl72_85
| ~ spl72_197
| ~ spl72_261 ),
inference(subsumption_resolution,[],[f5416,f1734]) ).
fof(f5416,plain,
( e21 != op2(e21,e20)
| ~ spl72_24
| ~ spl72_30
| spl72_85
| ~ spl72_261 ),
inference(forward_demodulation,[],[f5415,f970]) ).
fof(f5415,plain,
( op2(e21,e20) != h3(e11)
| ~ spl72_24
| ~ spl72_30
| spl72_85
| ~ spl72_261 ),
inference(forward_demodulation,[],[f5414,f2038]) ).
fof(f5414,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl72_24
| ~ spl72_30
| spl72_85 ),
inference(forward_demodulation,[],[f5413,f970]) ).
fof(f5413,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl72_30
| spl72_85 ),
inference(forward_demodulation,[],[f1249,f999]) ).
fof(f5389,plain,
( ~ spl72_24
| ~ spl72_30
| spl72_82
| ~ spl72_195
| ~ spl72_259 ),
inference(avatar_contradiction_clause,[],[f5388]) ).
fof(f5388,plain,
( $false
| ~ spl72_24
| ~ spl72_30
| spl72_82
| ~ spl72_195
| ~ spl72_259 ),
inference(subsumption_resolution,[],[f5387,f1725]) ).
fof(f5387,plain,
( e21 != op2(e20,e21)
| ~ spl72_24
| ~ spl72_30
| spl72_82
| ~ spl72_259 ),
inference(forward_demodulation,[],[f5386,f970]) ).
fof(f5386,plain,
( op2(e20,e21) != h3(e11)
| ~ spl72_24
| ~ spl72_30
| spl72_82
| ~ spl72_259 ),
inference(forward_demodulation,[],[f5385,f2029]) ).
fof(f5385,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl72_24
| ~ spl72_30
| spl72_82 ),
inference(forward_demodulation,[],[f5384,f999]) ).
fof(f5384,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl72_24
| spl72_82 ),
inference(forward_demodulation,[],[f1237,f970]) ).
fof(f1237,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl72_82 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1235,plain,
( spl72_82
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_82])]) ).
fof(f5365,plain,
( ~ spl72_2
| ~ spl72_9
| spl72_74
| ~ spl72_78
| ~ spl72_173
| ~ spl72_217 ),
inference(avatar_contradiction_clause,[],[f5364]) ).
fof(f5364,plain,
( $false
| ~ spl72_2
| ~ spl72_9
| spl72_74
| ~ spl72_78
| ~ spl72_173
| ~ spl72_217 ),
inference(subsumption_resolution,[],[f5352,f1626]) ).
fof(f5352,plain,
( e23 != op2(e22,e21)
| ~ spl72_2
| ~ spl72_9
| spl72_74
| ~ spl72_78
| ~ spl72_217 ),
inference(superposition,[],[f5321,f898]) ).
fof(f5321,plain,
( e23 != op2(e22,h4(e11))
| ~ spl72_2
| spl72_74
| ~ spl72_78
| ~ spl72_217 ),
inference(superposition,[],[f5281,f864]) ).
fof(f5281,plain,
( e23 != op2(h4(e13),h4(e11))
| spl72_74
| ~ spl72_78
| ~ spl72_217 ),
inference(forward_demodulation,[],[f5280,f1217]) ).
fof(f5280,plain,
( h4(e12) != op2(h4(e13),h4(e11))
| spl72_74
| ~ spl72_217 ),
inference(forward_demodulation,[],[f1201,f1844]) ).
fof(f1201,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl72_74 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1199,plain,
( spl72_74
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_74])]) ).
fof(f5363,plain,
( ~ spl72_2
| ~ spl72_9
| spl72_68
| ~ spl72_175
| ~ spl72_206 ),
inference(avatar_contradiction_clause,[],[f5362]) ).
fof(f5362,plain,
( $false
| ~ spl72_2
| ~ spl72_9
| spl72_68
| ~ spl72_175
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f5351,f1635]) ).
fof(f5351,plain,
( e22 != op2(e21,e22)
| ~ spl72_2
| ~ spl72_9
| spl72_68
| ~ spl72_206 ),
inference(superposition,[],[f5317,f898]) ).
fof(f5317,plain,
( e22 != op2(h4(e11),e22)
| ~ spl72_2
| spl72_68
| ~ spl72_206 ),
inference(superposition,[],[f5252,f864]) ).
fof(f5252,plain,
( h4(e13) != op2(h4(e11),h4(e13))
| spl72_68
| ~ spl72_206 ),
inference(forward_demodulation,[],[f1177,f1797]) ).
fof(f1177,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl72_68 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1175,plain,
( spl72_68
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_68])]) ).
fof(f5358,plain,
( ~ spl72_2
| ~ spl72_9
| spl72_70
| ~ spl72_78
| ~ spl72_153
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f5357]) ).
fof(f5357,plain,
( $false
| ~ spl72_2
| ~ spl72_9
| spl72_70
| ~ spl72_78
| ~ spl72_153
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f5356,f1540]) ).
fof(f5356,plain,
( e22 != op2(e23,e21)
| ~ spl72_2
| ~ spl72_9
| spl72_70
| ~ spl72_78
| ~ spl72_237 ),
inference(forward_demodulation,[],[f5348,f864]) ).
fof(f5348,plain,
( op2(e23,e21) != h4(e13)
| ~ spl72_9
| spl72_70
| ~ spl72_78
| ~ spl72_237 ),
inference(superposition,[],[f5279,f898]) ).
fof(f5279,plain,
( h4(e13) != op2(e23,h4(e11))
| spl72_70
| ~ spl72_78
| ~ spl72_237 ),
inference(forward_demodulation,[],[f5278,f1930]) ).
fof(f5278,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| spl72_70
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1185,f1217]) ).
fof(f1185,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl72_70 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1183,plain,
( spl72_70
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_70])]) ).
fof(f5339,plain,
( spl72_30
| ~ spl72_181
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f5338,f1741,f1659,f998]) ).
fof(f5338,plain,
( e20 = h3(e10)
| ~ spl72_181
| ~ spl72_199 ),
inference(forward_demodulation,[],[f5337,f1743]) ).
fof(f5337,plain,
( op2(e21,e21) = h3(e10)
| ~ spl72_181 ),
inference(forward_demodulation,[],[f273,f1661]) ).
fof(f273,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,op2(e22,e22)) = h3(e13)
& op2(e22,e22) = h3(e11)
& op2(op2(e22,e22),op2(e22,e22)) = h3(e10)
& e22 = h3(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5323,plain,
( ~ spl72_9
| ~ spl72_2
| spl72_76
| ~ spl72_181
| ~ spl72_222 ),
inference(avatar_split_clause,[],[f5322,f1863,f1659,f1207,f863,f897]) ).
fof(f1207,plain,
( spl72_76
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_76])]) ).
fof(f5322,plain,
( e21 != h4(e11)
| ~ spl72_2
| spl72_76
| ~ spl72_181
| ~ spl72_222 ),
inference(forward_demodulation,[],[f5315,f1661]) ).
fof(f5315,plain,
( op2(e22,e22) != h4(e11)
| ~ spl72_2
| spl72_76
| ~ spl72_222 ),
inference(superposition,[],[f5249,f864]) ).
fof(f5249,plain,
( h4(e11) != op2(h4(e13),h4(e13))
| spl72_76
| ~ spl72_222 ),
inference(forward_demodulation,[],[f1209,f1865]) ).
fof(f1209,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl72_76 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f5294,plain,
( spl72_137
| ~ spl72_169
| ~ spl72_202 ),
inference(avatar_split_clause,[],[f5293,f1757,f1607,f1463]) ).
fof(f5293,plain,
( e23 = h1(e13)
| ~ spl72_169
| ~ spl72_202 ),
inference(forward_demodulation,[],[f5292,f1609]) ).
fof(f5292,plain,
( op2(e20,e22) = h1(e13)
| ~ spl72_202 ),
inference(forward_demodulation,[],[f267,f1759]) ).
fof(f5271,plain,
( spl72_9
| ~ spl72_158 ),
inference(avatar_split_clause,[],[f5270,f1559,f897]) ).
fof(f5270,plain,
( e21 = h4(e11)
| ~ spl72_158 ),
inference(forward_demodulation,[],[f262,f1561]) ).
fof(f262,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( h4(e13) = op2(e23,op2(e23,e23))
& op2(e23,e23) = h4(e11)
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& e23 = h4(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5268,plain,
( ~ spl72_9
| spl72_71
| ~ spl72_78
| ~ spl72_158
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f5267,f1963,f1559,f1216,f1187,f897]) ).
fof(f1187,plain,
( spl72_71
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_71])]) ).
fof(f5267,plain,
( e21 != h4(e11)
| spl72_71
| ~ spl72_78
| ~ spl72_158
| ~ spl72_245 ),
inference(forward_demodulation,[],[f5245,f1561]) ).
fof(f5245,plain,
( op2(e23,e23) != h4(e11)
| spl72_71
| ~ spl72_78
| ~ spl72_245 ),
inference(forward_demodulation,[],[f5244,f1965]) ).
fof(f5244,plain,
( op2(e23,e23) != h4(op1(e12,e12))
| spl72_71
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1189,f1217]) ).
fof(f1189,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl72_71 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f5258,plain,
( spl72_2
| ~ spl72_153
| ~ spl72_158 ),
inference(avatar_split_clause,[],[f5257,f1559,f1538,f863]) ).
fof(f5257,plain,
( e22 = h4(e13)
| ~ spl72_153
| ~ spl72_158 ),
inference(forward_demodulation,[],[f5256,f1540]) ).
fof(f5256,plain,
( op2(e23,e21) = h4(e13)
| ~ spl72_158 ),
inference(forward_demodulation,[],[f263,f1561]) ).
fof(f263,plain,
h4(e13) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f5192,plain,
( ~ spl72_9
| ~ spl72_15
| spl72_62
| ~ spl72_195
| ~ spl72_259 ),
inference(avatar_contradiction_clause,[],[f5191]) ).
fof(f5191,plain,
( $false
| ~ spl72_9
| ~ spl72_15
| spl72_62
| ~ spl72_195
| ~ spl72_259 ),
inference(subsumption_resolution,[],[f5190,f1725]) ).
fof(f5190,plain,
( e21 != op2(e20,e21)
| ~ spl72_9
| ~ spl72_15
| spl72_62
| ~ spl72_259 ),
inference(superposition,[],[f5098,f927]) ).
fof(f5098,plain,
( e21 != op2(h4(e10),e21)
| ~ spl72_9
| spl72_62
| ~ spl72_259 ),
inference(forward_demodulation,[],[f5097,f898]) ).
fof(f5097,plain,
( h4(e11) != op2(h4(e10),e21)
| ~ spl72_9
| spl72_62
| ~ spl72_259 ),
inference(forward_demodulation,[],[f5096,f2029]) ).
fof(f5096,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| ~ spl72_9
| spl72_62 ),
inference(forward_demodulation,[],[f1153,f898]) ).
fof(f1153,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl72_62 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1151,plain,
( spl72_62
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_62])]) ).
fof(f5181,plain,
( spl72_15
| ~ spl72_9
| ~ spl72_66
| ~ spl72_199
| ~ spl72_263 ),
inference(avatar_split_clause,[],[f5176,f2045,f1741,f1167,f897,f926]) ).
fof(f1167,plain,
( spl72_66
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_66])]) ).
fof(f5176,plain,
( e20 = h4(e10)
| ~ spl72_9
| ~ spl72_66
| ~ spl72_199
| ~ spl72_263 ),
inference(superposition,[],[f1743,f5126]) ).
fof(f5126,plain,
( op2(e21,e21) = h4(e10)
| ~ spl72_9
| ~ spl72_66
| ~ spl72_263 ),
inference(forward_demodulation,[],[f5125,f2047]) ).
fof(f5125,plain,
( op2(e21,e21) = h4(op1(e11,e11))
| ~ spl72_9
| ~ spl72_66 ),
inference(forward_demodulation,[],[f1168,f898]) ).
fof(f1168,plain,
( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
| ~ spl72_66 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f5120,plain,
( ~ spl72_9
| spl72_66
| ~ spl72_71
| ~ spl72_78
| ~ spl72_245
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f5119]) ).
fof(f5119,plain,
( $false
| ~ spl72_9
| spl72_66
| ~ spl72_71
| ~ spl72_78
| ~ spl72_245
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f5048,f5115]) ).
fof(f5115,plain,
( op2(e21,e21) != h4(e10)
| ~ spl72_9
| spl72_66
| ~ spl72_263 ),
inference(forward_demodulation,[],[f5114,f2047]) ).
fof(f5114,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| ~ spl72_9
| spl72_66 ),
inference(forward_demodulation,[],[f1169,f898]) ).
fof(f1169,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl72_66 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f5048,plain,
( op2(e21,e21) = h4(e10)
| ~ spl72_9
| ~ spl72_71
| ~ spl72_78
| ~ spl72_245 ),
inference(forward_demodulation,[],[f5047,f898]) ).
fof(f5047,plain,
( h4(e10) = op2(h4(e11),h4(e11))
| ~ spl72_71
| ~ spl72_78
| ~ spl72_245 ),
inference(forward_demodulation,[],[f261,f4463]) ).
fof(f4463,plain,
( op2(e23,e23) = h4(e11)
| ~ spl72_71
| ~ spl72_78
| ~ spl72_245 ),
inference(forward_demodulation,[],[f4462,f1965]) ).
fof(f4462,plain,
( op2(e23,e23) = h4(op1(e12,e12))
| ~ spl72_71
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1188,f1217]) ).
fof(f1188,plain,
( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
| ~ spl72_71 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f261,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f5087,plain,
( ~ spl72_5
| ~ spl72_9
| ~ spl72_66
| spl72_193
| ~ spl72_263 ),
inference(avatar_split_clause,[],[f5079,f2045,f1713,f1167,f897,f878]) ).
fof(f878,plain,
( spl72_5
<=> e22 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).
fof(f1713,plain,
( spl72_193
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_193])]) ).
fof(f5079,plain,
( e22 != h4(e10)
| ~ spl72_9
| ~ spl72_66
| spl72_193
| ~ spl72_263 ),
inference(superposition,[],[f1714,f5046]) ).
fof(f5046,plain,
( op2(e21,e21) = h4(e10)
| ~ spl72_9
| ~ spl72_66
| ~ spl72_263 ),
inference(forward_demodulation,[],[f4948,f898]) ).
fof(f4948,plain,
( h4(e10) = op2(h4(e11),h4(e11))
| ~ spl72_66
| ~ spl72_263 ),
inference(forward_demodulation,[],[f1168,f2047]) ).
fof(f1714,plain,
( e22 != op2(e21,e21)
| spl72_193 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f5002,plain,
( ~ spl72_175
| ~ spl72_49
| ~ spl72_55
| spl72_122
| ~ spl72_259 ),
inference(avatar_split_clause,[],[f5001,f2027,f1403,f1118,f1089,f1633]) ).
fof(f5001,plain,
( e22 != op2(e21,e22)
| ~ spl72_49
| ~ spl72_55
| spl72_122
| ~ spl72_259 ),
inference(forward_demodulation,[],[f5000,f1090]) ).
fof(f5000,plain,
( op2(e21,e22) != h1(e11)
| ~ spl72_49
| ~ spl72_55
| spl72_122
| ~ spl72_259 ),
inference(forward_demodulation,[],[f4999,f2029]) ).
fof(f4999,plain,
( op2(e21,e22) != h1(op1(e10,e11))
| ~ spl72_49
| ~ spl72_55
| spl72_122 ),
inference(forward_demodulation,[],[f4998,f1119]) ).
fof(f4998,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e22)
| ~ spl72_49
| spl72_122 ),
inference(forward_demodulation,[],[f1405,f1090]) ).
fof(f4997,plain,
( ~ spl72_199
| ~ spl72_55
| ~ spl72_58
| spl72_121
| ~ spl72_266 ),
inference(avatar_split_clause,[],[f4996,f2061,f1399,f1132,f1118,f1741]) ).
fof(f1399,plain,
( spl72_121
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_121])]) ).
fof(f4996,plain,
( e20 != op2(e21,e21)
| ~ spl72_55
| ~ spl72_58
| spl72_121
| ~ spl72_266 ),
inference(forward_demodulation,[],[f4995,f1133]) ).
fof(f4995,plain,
( op2(e21,e21) != h1(e12)
| ~ spl72_55
| spl72_121
| ~ spl72_266 ),
inference(forward_demodulation,[],[f4994,f2063]) ).
fof(f4994,plain,
( op2(e21,e21) != h1(op1(e10,e10))
| ~ spl72_55
| spl72_121 ),
inference(superposition,[],[f1401,f1119]) ).
fof(f1401,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl72_121 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f4983,plain,
( ~ spl72_117
| ~ spl72_35
| ~ spl72_38
| spl72_103
| ~ spl72_173
| ~ spl72_233 ),
inference(avatar_split_clause,[],[f4982,f1911,f1624,f1323,f1036,f1022,f1379]) ).
fof(f1022,plain,
( spl72_35
<=> e22 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_35])]) ).
fof(f1323,plain,
( spl72_103
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_103])]) ).
fof(f4982,plain,
( e23 != h2(e13)
| ~ spl72_35
| ~ spl72_38
| spl72_103
| ~ spl72_173
| ~ spl72_233 ),
inference(forward_demodulation,[],[f4981,f1626]) ).
fof(f4981,plain,
( op2(e22,e21) != h2(e13)
| ~ spl72_35
| ~ spl72_38
| spl72_103
| ~ spl72_233 ),
inference(forward_demodulation,[],[f4980,f1913]) ).
fof(f4980,plain,
( op2(e22,e21) != h2(op1(e10,e12))
| ~ spl72_35
| ~ spl72_38
| spl72_103 ),
inference(forward_demodulation,[],[f4979,f1023]) ).
fof(f1023,plain,
( e22 = h2(e10)
| ~ spl72_35 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f4979,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| ~ spl72_38
| spl72_103 ),
inference(forward_demodulation,[],[f1325,f1037]) ).
fof(f1325,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl72_103 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f4978,plain,
( ~ spl72_184
| ~ spl72_35
| ~ spl72_44
| spl72_105
| ~ spl72_261 ),
inference(avatar_split_clause,[],[f4977,f2036,f1331,f1065,f1022,f1673]) ).
fof(f1331,plain,
( spl72_105
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_105])]) ).
fof(f4977,plain,
( e20 != op2(e20,e22)
| ~ spl72_35
| ~ spl72_44
| spl72_105
| ~ spl72_261 ),
inference(forward_demodulation,[],[f4976,f1066]) ).
fof(f4976,plain,
( op2(e20,e22) != h2(e11)
| ~ spl72_35
| ~ spl72_44
| spl72_105
| ~ spl72_261 ),
inference(forward_demodulation,[],[f4975,f2038]) ).
fof(f4975,plain,
( op2(e20,e22) != h2(op1(e11,e10))
| ~ spl72_35
| ~ spl72_44
| spl72_105 ),
inference(forward_demodulation,[],[f4974,f1066]) ).
fof(f4974,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e22)
| ~ spl72_35
| spl72_105 ),
inference(forward_demodulation,[],[f1333,f1023]) ).
fof(f1333,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl72_105 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f4937,plain,
( ~ spl72_175
| ~ spl72_35
| ~ spl72_38
| spl72_109
| ~ spl72_251 ),
inference(avatar_split_clause,[],[f4936,f1990,f1347,f1036,f1022,f1633]) ).
fof(f1347,plain,
( spl72_109
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_109])]) ).
fof(f4936,plain,
( e22 != op2(e21,e22)
| ~ spl72_35
| ~ spl72_38
| spl72_109
| ~ spl72_251 ),
inference(forward_demodulation,[],[f4935,f1023]) ).
fof(f4935,plain,
( op2(e21,e22) != h2(e10)
| ~ spl72_35
| ~ spl72_38
| spl72_109
| ~ spl72_251 ),
inference(forward_demodulation,[],[f4934,f1992]) ).
fof(f4934,plain,
( op2(e21,e22) != h2(op1(e12,e10))
| ~ spl72_35
| ~ spl72_38
| spl72_109 ),
inference(forward_demodulation,[],[f4933,f1037]) ).
fof(f4933,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e22)
| ~ spl72_35
| spl72_109 ),
inference(forward_demodulation,[],[f1349,f1023]) ).
fof(f1349,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl72_109 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f4932,plain,
( ~ spl72_204
| ~ spl72_187 ),
inference(avatar_split_clause,[],[f4296,f1686,f1769]) ).
fof(f1769,plain,
( spl72_204
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_204])]) ).
fof(f4296,plain,
( e20 != op2(e20,e20)
| ~ spl72_187 ),
inference(forward_demodulation,[],[f325,f1688]) ).
fof(f325,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4920,plain,
( spl72_199
| ~ spl72_181 ),
inference(avatar_split_clause,[],[f4350,f1659,f1741]) ).
fof(f4350,plain,
( e20 = op2(e21,e21)
| ~ spl72_181 ),
inference(forward_demodulation,[],[f372,f1661]) ).
fof(f372,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e23 = op2(e22,op2(e22,e22))
& e21 = op2(e22,e22)
& e20 = op2(op2(e22,e22),op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4910,plain,
( ~ spl72_189
| ~ spl72_173 ),
inference(avatar_split_clause,[],[f4302,f1624,f1695]) ).
fof(f1695,plain,
( spl72_189
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_189])]) ).
fof(f4302,plain,
( e23 != op2(e20,e21)
| ~ spl72_173 ),
inference(forward_demodulation,[],[f331,f1626]) ).
fof(f331,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4897,plain,
( ~ spl72_166
| ~ spl72_187 ),
inference(avatar_split_clause,[],[f4896,f1686,f1594]) ).
fof(f4896,plain,
( e20 != op2(e23,e20)
| ~ spl72_187 ),
inference(forward_demodulation,[],[f329,f1688]) ).
fof(f329,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4893,plain,
( ~ spl72_142
| ~ spl72_191 ),
inference(avatar_split_clause,[],[f4892,f1704,f1491]) ).
fof(f1704,plain,
( spl72_191
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_191])]) ).
fof(f4892,plain,
( e23 != op2(e21,e23)
| ~ spl72_191 ),
inference(forward_demodulation,[],[f356,f1706]) ).
fof(f1706,plain,
( e23 = op2(e21,e20)
| ~ spl72_191 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f356,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4882,plain,
( ~ spl72_44
| spl72_116
| ~ spl72_117
| ~ spl72_165
| ~ spl72_222 ),
inference(avatar_contradiction_clause,[],[f4881]) ).
fof(f4881,plain,
( $false
| ~ spl72_44
| spl72_116
| ~ spl72_117
| ~ spl72_165
| ~ spl72_222 ),
inference(subsumption_resolution,[],[f4880,f1591]) ).
fof(f1591,plain,
( e20 = op2(e23,e23)
| ~ spl72_165 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f4880,plain,
( e20 != op2(e23,e23)
| ~ spl72_44
| spl72_116
| ~ spl72_117
| ~ spl72_222 ),
inference(forward_demodulation,[],[f4879,f1066]) ).
fof(f4879,plain,
( op2(e23,e23) != h2(e11)
| spl72_116
| ~ spl72_117
| ~ spl72_222 ),
inference(forward_demodulation,[],[f4878,f1865]) ).
fof(f4878,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| spl72_116
| ~ spl72_117 ),
inference(forward_demodulation,[],[f1377,f1380]) ).
fof(f1377,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl72_116 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1375,plain,
( spl72_116
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_116])]) ).
fof(f4873,plain,
( ~ spl72_35
| ~ spl72_38
| spl72_115
| ~ spl72_117
| ~ spl72_153
| ~ spl72_232 ),
inference(avatar_contradiction_clause,[],[f4872]) ).
fof(f4872,plain,
( $false
| ~ spl72_35
| ~ spl72_38
| spl72_115
| ~ spl72_117
| ~ spl72_153
| ~ spl72_232 ),
inference(subsumption_resolution,[],[f4871,f1540]) ).
fof(f4871,plain,
( e22 != op2(e23,e21)
| ~ spl72_35
| ~ spl72_38
| spl72_115
| ~ spl72_117
| ~ spl72_232 ),
inference(forward_demodulation,[],[f4870,f1023]) ).
fof(f4870,plain,
( op2(e23,e21) != h2(e10)
| ~ spl72_38
| spl72_115
| ~ spl72_117
| ~ spl72_232 ),
inference(forward_demodulation,[],[f4869,f1908]) ).
fof(f4869,plain,
( op2(e23,e21) != h2(op1(e13,e12))
| ~ spl72_38
| spl72_115
| ~ spl72_117 ),
inference(forward_demodulation,[],[f4868,f1380]) ).
fof(f4868,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| ~ spl72_38
| spl72_115 ),
inference(forward_demodulation,[],[f1373,f1037]) ).
fof(f1373,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl72_115 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1371,plain,
( spl72_115
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_115])]) ).
fof(f4863,plain,
( ~ spl72_38
| ~ spl72_44
| spl72_114
| ~ spl72_117
| ~ spl72_159
| ~ spl72_217 ),
inference(avatar_contradiction_clause,[],[f4862]) ).
fof(f4862,plain,
( $false
| ~ spl72_38
| ~ spl72_44
| spl72_114
| ~ spl72_117
| ~ spl72_159
| ~ spl72_217 ),
inference(subsumption_resolution,[],[f4861,f1566]) ).
fof(f4861,plain,
( e21 != op2(e23,e20)
| ~ spl72_38
| ~ spl72_44
| spl72_114
| ~ spl72_117
| ~ spl72_217 ),
inference(forward_demodulation,[],[f4860,f1037]) ).
fof(f4860,plain,
( op2(e23,e20) != h2(e12)
| ~ spl72_44
| spl72_114
| ~ spl72_117
| ~ spl72_217 ),
inference(forward_demodulation,[],[f4859,f1844]) ).
fof(f4859,plain,
( op2(e23,e20) != h2(op1(e13,e11))
| ~ spl72_44
| spl72_114
| ~ spl72_117 ),
inference(forward_demodulation,[],[f4858,f1380]) ).
fof(f4858,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e20)
| ~ spl72_44
| spl72_114 ),
inference(forward_demodulation,[],[f1369,f1066]) ).
fof(f1369,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl72_114 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1367,plain,
( spl72_114
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_114])]) ).
fof(f4853,plain,
( ~ spl72_35
| spl72_113
| ~ spl72_117
| ~ spl72_147
| ~ spl72_209 ),
inference(avatar_contradiction_clause,[],[f4852]) ).
fof(f4852,plain,
( $false
| ~ spl72_35
| spl72_113
| ~ spl72_117
| ~ spl72_147
| ~ spl72_209 ),
inference(subsumption_resolution,[],[f4851,f1514]) ).
fof(f4851,plain,
( e23 != op2(e23,e22)
| ~ spl72_35
| spl72_113
| ~ spl72_117
| ~ spl72_209 ),
inference(forward_demodulation,[],[f4850,f1380]) ).
fof(f4850,plain,
( op2(e23,e22) != h2(e13)
| ~ spl72_35
| spl72_113
| ~ spl72_117
| ~ spl72_209 ),
inference(forward_demodulation,[],[f4849,f1810]) ).
fof(f4849,plain,
( op2(e23,e22) != h2(op1(e13,e10))
| ~ spl72_35
| spl72_113
| ~ spl72_117 ),
inference(forward_demodulation,[],[f4848,f1380]) ).
fof(f4848,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e22)
| ~ spl72_35
| spl72_113 ),
inference(forward_demodulation,[],[f1365,f1023]) ).
fof(f1365,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl72_113 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f1363,plain,
( spl72_113
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_113])]) ).
fof(f4834,plain,
( ~ spl72_38
| ~ spl72_44
| spl72_111
| ~ spl72_199
| ~ spl72_245 ),
inference(avatar_contradiction_clause,[],[f4833]) ).
fof(f4833,plain,
( $false
| ~ spl72_38
| ~ spl72_44
| spl72_111
| ~ spl72_199
| ~ spl72_245 ),
inference(subsumption_resolution,[],[f4832,f1743]) ).
fof(f4832,plain,
( e20 != op2(e21,e21)
| ~ spl72_38
| ~ spl72_44
| spl72_111
| ~ spl72_245 ),
inference(forward_demodulation,[],[f4831,f1066]) ).
fof(f4831,plain,
( op2(e21,e21) != h2(e11)
| ~ spl72_38
| spl72_111
| ~ spl72_245 ),
inference(forward_demodulation,[],[f4830,f1965]) ).
fof(f4830,plain,
( op2(e21,e21) != h2(op1(e12,e12))
| ~ spl72_38
| spl72_111 ),
inference(forward_demodulation,[],[f1357,f1037]) ).
fof(f1357,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl72_111 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1355,plain,
( spl72_111
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_111])]) ).
fof(f4825,plain,
( ~ spl72_38
| ~ spl72_44
| spl72_110
| ~ spl72_117
| ~ spl72_191
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f4824]) ).
fof(f4824,plain,
( $false
| ~ spl72_38
| ~ spl72_44
| spl72_110
| ~ spl72_117
| ~ spl72_191
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f4823,f1706]) ).
fof(f4823,plain,
( e23 != op2(e21,e20)
| ~ spl72_38
| ~ spl72_44
| spl72_110
| ~ spl72_117
| ~ spl72_237 ),
inference(forward_demodulation,[],[f4822,f1380]) ).
fof(f4822,plain,
( op2(e21,e20) != h2(e13)
| ~ spl72_38
| ~ spl72_44
| spl72_110
| ~ spl72_237 ),
inference(forward_demodulation,[],[f4821,f1930]) ).
fof(f4821,plain,
( op2(e21,e20) != h2(op1(e12,e11))
| ~ spl72_38
| ~ spl72_44
| spl72_110 ),
inference(forward_demodulation,[],[f4820,f1037]) ).
fof(f4820,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e20)
| ~ spl72_44
| spl72_110 ),
inference(forward_demodulation,[],[f1353,f1066]) ).
fof(f1353,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl72_110 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f4805,plain,
( ~ spl72_44
| spl72_108
| ~ spl72_117
| ~ spl72_141
| ~ spl72_206 ),
inference(avatar_contradiction_clause,[],[f4804]) ).
fof(f4804,plain,
( $false
| ~ spl72_44
| spl72_108
| ~ spl72_117
| ~ spl72_141
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f4803,f1489]) ).
fof(f1489,plain,
( e23 = op2(e20,e23)
| ~ spl72_141 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f4803,plain,
( e23 != op2(e20,e23)
| ~ spl72_44
| spl72_108
| ~ spl72_117
| ~ spl72_206 ),
inference(forward_demodulation,[],[f4802,f1380]) ).
fof(f4802,plain,
( op2(e20,e23) != h2(e13)
| ~ spl72_44
| spl72_108
| ~ spl72_117
| ~ spl72_206 ),
inference(forward_demodulation,[],[f4801,f1797]) ).
fof(f4801,plain,
( op2(e20,e23) != h2(op1(e11,e13))
| ~ spl72_44
| spl72_108
| ~ spl72_117 ),
inference(forward_demodulation,[],[f4800,f1066]) ).
fof(f4800,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl72_108
| ~ spl72_117 ),
inference(forward_demodulation,[],[f1345,f1380]) ).
fof(f1345,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl72_108 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f4796,plain,
( ~ spl72_38
| ~ spl72_44
| spl72_107
| ~ spl72_195
| ~ spl72_239 ),
inference(avatar_contradiction_clause,[],[f4795]) ).
fof(f4795,plain,
( $false
| ~ spl72_38
| ~ spl72_44
| spl72_107
| ~ spl72_195
| ~ spl72_239 ),
inference(subsumption_resolution,[],[f4794,f1725]) ).
fof(f4794,plain,
( e21 != op2(e20,e21)
| ~ spl72_38
| ~ spl72_44
| spl72_107
| ~ spl72_239 ),
inference(forward_demodulation,[],[f4793,f1037]) ).
fof(f4793,plain,
( op2(e20,e21) != h2(e12)
| ~ spl72_38
| ~ spl72_44
| spl72_107
| ~ spl72_239 ),
inference(forward_demodulation,[],[f4792,f1939]) ).
fof(f4792,plain,
( op2(e20,e21) != h2(op1(e11,e12))
| ~ spl72_38
| ~ spl72_44
| spl72_107 ),
inference(forward_demodulation,[],[f4791,f1066]) ).
fof(f4791,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| ~ spl72_38
| spl72_107 ),
inference(forward_demodulation,[],[f1341,f1037]) ).
fof(f1341,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl72_107 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f1339,plain,
( spl72_107
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_107])]) ).
fof(f4786,plain,
( ~ spl72_35
| ~ spl72_44
| spl72_106
| ~ spl72_202
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f4785]) ).
fof(f4785,plain,
( $false
| ~ spl72_35
| ~ spl72_44
| spl72_106
| ~ spl72_202
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f4784,f1759]) ).
fof(f4784,plain,
( op2(e20,e20) != e22
| ~ spl72_35
| ~ spl72_44
| spl72_106
| ~ spl72_263 ),
inference(forward_demodulation,[],[f4783,f1023]) ).
fof(f4783,plain,
( op2(e20,e20) != h2(e10)
| ~ spl72_44
| spl72_106
| ~ spl72_263 ),
inference(forward_demodulation,[],[f4782,f2047]) ).
fof(f4782,plain,
( op2(e20,e20) != h2(op1(e11,e11))
| ~ spl72_44
| spl72_106 ),
inference(forward_demodulation,[],[f1337,f1066]) ).
fof(f1337,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl72_106 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1335,plain,
( spl72_106
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_106])]) ).
fof(f4767,plain,
( ~ spl72_35
| spl72_104
| ~ spl72_117
| ~ spl72_150
| ~ spl72_226 ),
inference(avatar_contradiction_clause,[],[f4766]) ).
fof(f4766,plain,
( $false
| ~ spl72_35
| spl72_104
| ~ spl72_117
| ~ spl72_150
| ~ spl72_226 ),
inference(subsumption_resolution,[],[f4765,f1527]) ).
fof(f4765,plain,
( e22 != op2(e22,e23)
| ~ spl72_35
| spl72_104
| ~ spl72_117
| ~ spl72_226 ),
inference(forward_demodulation,[],[f4764,f1023]) ).
fof(f4764,plain,
( op2(e22,e23) != h2(e10)
| ~ spl72_35
| spl72_104
| ~ spl72_117
| ~ spl72_226 ),
inference(forward_demodulation,[],[f4763,f1883]) ).
fof(f4763,plain,
( op2(e22,e23) != h2(op1(e10,e13))
| ~ spl72_35
| spl72_104
| ~ spl72_117 ),
inference(forward_demodulation,[],[f4762,f1023]) ).
fof(f4762,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| spl72_104
| ~ spl72_117 ),
inference(forward_demodulation,[],[f1329,f1380]) ).
fof(f1329,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl72_104 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1327,plain,
( spl72_104
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_104])]) ).
fof(f4748,plain,
( ~ spl72_35
| ~ spl72_44
| spl72_102
| ~ spl72_187
| ~ spl72_259 ),
inference(avatar_contradiction_clause,[],[f4747]) ).
fof(f4747,plain,
( $false
| ~ spl72_35
| ~ spl72_44
| spl72_102
| ~ spl72_187
| ~ spl72_259 ),
inference(subsumption_resolution,[],[f4746,f1688]) ).
fof(f4746,plain,
( e20 != op2(e22,e20)
| ~ spl72_35
| ~ spl72_44
| spl72_102
| ~ spl72_259 ),
inference(forward_demodulation,[],[f4745,f1066]) ).
fof(f4745,plain,
( op2(e22,e20) != h2(e11)
| ~ spl72_35
| ~ spl72_44
| spl72_102
| ~ spl72_259 ),
inference(forward_demodulation,[],[f4744,f2029]) ).
fof(f4744,plain,
( op2(e22,e20) != h2(op1(e10,e11))
| ~ spl72_35
| ~ spl72_44
| spl72_102 ),
inference(forward_demodulation,[],[f4743,f1023]) ).
fof(f4743,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e20)
| ~ spl72_44
| spl72_102 ),
inference(forward_demodulation,[],[f1321,f1066]) ).
fof(f1321,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl72_102 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1319,plain,
( spl72_102
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_102])]) ).
fof(f4742,plain,
( ~ spl72_35
| ~ spl72_38
| spl72_101
| ~ spl72_181
| ~ spl72_266 ),
inference(avatar_contradiction_clause,[],[f4741]) ).
fof(f4741,plain,
( $false
| ~ spl72_35
| ~ spl72_38
| spl72_101
| ~ spl72_181
| ~ spl72_266 ),
inference(subsumption_resolution,[],[f4740,f1661]) ).
fof(f4740,plain,
( e21 != op2(e22,e22)
| ~ spl72_35
| ~ spl72_38
| spl72_101
| ~ spl72_266 ),
inference(forward_demodulation,[],[f4739,f1037]) ).
fof(f4739,plain,
( op2(e22,e22) != h2(e12)
| ~ spl72_35
| spl72_101
| ~ spl72_266 ),
inference(forward_demodulation,[],[f4738,f2063]) ).
fof(f4738,plain,
( op2(e22,e22) != h2(op1(e10,e10))
| ~ spl72_35
| spl72_101 ),
inference(superposition,[],[f1317,f1023]) ).
fof(f1317,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl72_101 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1315,plain,
( spl72_101
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_101])]) ).
fof(f4737,plain,
( spl72_35
| ~ spl72_199
| ~ spl72_202 ),
inference(avatar_split_clause,[],[f4736,f1757,f1741,f1022]) ).
fof(f4736,plain,
( e22 = h2(e10)
| ~ spl72_199
| ~ spl72_202 ),
inference(forward_demodulation,[],[f4735,f1759]) ).
fof(f4735,plain,
( op2(e20,e20) = h2(e10)
| ~ spl72_199 ),
inference(forward_demodulation,[],[f269,f1743]) ).
fof(f269,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( h2(e13) = op2(e21,op2(e21,e21))
& op2(e21,e21) = h2(e11)
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& e21 = h2(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4734,plain,
( spl72_55
| ~ spl72_181
| ~ spl72_202 ),
inference(avatar_split_clause,[],[f4733,f1757,f1659,f1118]) ).
fof(f4733,plain,
( e21 = h1(e10)
| ~ spl72_181
| ~ spl72_202 ),
inference(forward_demodulation,[],[f4732,f1661]) ).
fof(f4732,plain,
( op2(e22,e22) = h1(e10)
| ~ spl72_202 ),
inference(forward_demodulation,[],[f265,f1759]) ).
fof(f4591,plain,
( ~ spl72_267
| ~ spl72_261 ),
inference(avatar_split_clause,[],[f4076,f2036,f2067]) ).
fof(f4076,plain,
( op1(e10,e10) != e11
| ~ spl72_261 ),
inference(forward_demodulation,[],[f276,f2038]) ).
fof(f276,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4590,plain,
( ~ spl72_267
| ~ spl72_259 ),
inference(avatar_split_clause,[],[f4102,f2027,f2067]) ).
fof(f4102,plain,
( op1(e10,e10) != e11
| ~ spl72_259 ),
inference(forward_demodulation,[],[f300,f2029]) ).
fof(f300,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4588,plain,
( ~ spl72_236
| ~ spl72_237 ),
inference(avatar_split_clause,[],[f4115,f1928,f1924]) ).
fof(f1924,plain,
( spl72_236
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_236])]) ).
fof(f4115,plain,
( e13 != op1(e12,e10)
| ~ spl72_237 ),
inference(forward_demodulation,[],[f312,f1930]) ).
fof(f312,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4583,plain,
( spl72_263
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f4351,f1963,f2045]) ).
fof(f4351,plain,
( e10 = op1(e11,e11)
| ~ spl72_245 ),
inference(forward_demodulation,[],[f375,f1965]) ).
fof(f375,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f4574,plain,
( ~ spl72_227
| ~ spl72_263 ),
inference(avatar_split_clause,[],[f4506,f2045,f1885]) ).
fof(f1885,plain,
( spl72_227
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_227])]) ).
fof(f4506,plain,
( e10 != op1(e11,e13)
| ~ spl72_263 ),
inference(forward_demodulation,[],[f310,f2047]) ).
fof(f310,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4573,plain,
( ~ spl72_224
| ~ spl72_259 ),
inference(avatar_split_clause,[],[f4554,f2027,f1872]) ).
fof(f4554,plain,
( e11 != op1(e13,e11)
| ~ spl72_259 ),
inference(forward_demodulation,[],[f284,f2029]) ).
fof(f284,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4570,plain,
( ~ spl72_221
| ~ spl72_245 ),
inference(avatar_split_clause,[],[f4528,f1963,f1859]) ).
fof(f1859,plain,
( spl72_221
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_221])]) ).
fof(f4528,plain,
( e11 != op1(e12,e13)
| ~ spl72_245 ),
inference(forward_demodulation,[],[f317,f1965]) ).
fof(f317,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4569,plain,
( ~ spl72_209
| ~ spl72_211 ),
inference(avatar_split_clause,[],[f4122,f1816,f1808]) ).
fof(f4122,plain,
( e13 != op1(e13,e10)
| ~ spl72_211 ),
inference(forward_demodulation,[],[f319,f1818]) ).
fof(f319,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4568,plain,
( ~ spl72_209
| ~ spl72_265 ),
inference(avatar_split_clause,[],[f4557,f2055,f1808]) ).
fof(f4557,plain,
( e13 != op1(e13,e10)
| ~ spl72_265 ),
inference(forward_demodulation,[],[f278,f2057]) ).
fof(f4561,plain,
( ~ spl72_257
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f4560]) ).
fof(f4560,plain,
( $false
| ~ spl72_257
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f4559,f255]) ).
fof(f4559,plain,
( e10 = e12
| ~ spl72_257
| ~ spl72_263 ),
inference(forward_demodulation,[],[f2019,f2047]) ).
fof(f2019,plain,
( e12 = op1(e11,e11)
| ~ spl72_257 ),
inference(avatar_component_clause,[],[f2017]) ).
fof(f2017,plain,
( spl72_257
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_257])]) ).
fof(f4553,plain,
( ~ spl72_231
| ~ spl72_263 ),
inference(avatar_split_clause,[],[f4552,f2045,f1902]) ).
fof(f1902,plain,
( spl72_231
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_231])]) ).
fof(f4552,plain,
( e10 != op1(e13,e11)
| ~ spl72_263 ),
inference(forward_demodulation,[],[f286,f2047]) ).
fof(f286,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4543,plain,
( ~ spl72_258
| ~ spl72_261 ),
inference(avatar_contradiction_clause,[],[f4542]) ).
fof(f4542,plain,
( $false
| ~ spl72_258
| ~ spl72_261 ),
inference(subsumption_resolution,[],[f4541,f257]) ).
fof(f4541,plain,
( e11 = e12
| ~ spl72_258
| ~ spl72_261 ),
inference(forward_demodulation,[],[f2024,f2038]) ).
fof(f2024,plain,
( e12 = op1(e11,e10)
| ~ spl72_258 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f4540,plain,
( ~ spl72_251
| ~ spl72_230 ),
inference(avatar_split_clause,[],[f4082,f1898,f1990]) ).
fof(f4082,plain,
( e10 != op1(e12,e10)
| ~ spl72_230 ),
inference(forward_demodulation,[],[f281,f1900]) ).
fof(f281,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4532,plain,
( ~ spl72_249
| ~ spl72_263 ),
inference(avatar_split_clause,[],[f4531,f2045,f1981]) ).
fof(f1981,plain,
( spl72_249
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_249])]) ).
fof(f4531,plain,
( e10 != op1(e11,e12)
| ~ spl72_263 ),
inference(forward_demodulation,[],[f309,f2047]) ).
fof(f309,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4530,plain,
( ~ spl72_234
| ~ spl72_211 ),
inference(avatar_split_clause,[],[f4093,f1816,f1915]) ).
fof(f1915,plain,
( spl72_234
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_234])]) ).
fof(f4093,plain,
( e13 != op1(e11,e12)
| ~ spl72_211 ),
inference(forward_demodulation,[],[f292,f1818]) ).
fof(f292,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4526,plain,
( ~ spl72_205
| ~ spl72_265 ),
inference(avatar_split_clause,[],[f4525,f2055,f1791]) ).
fof(f4525,plain,
( e13 != op1(e10,e13)
| ~ spl72_265 ),
inference(forward_demodulation,[],[f302,f2057]) ).
fof(f4516,plain,
( ~ spl72_205
| ~ spl72_212 ),
inference(avatar_contradiction_clause,[],[f4515]) ).
fof(f4515,plain,
( $false
| ~ spl72_205
| ~ spl72_212 ),
inference(subsumption_resolution,[],[f4514,f259]) ).
fof(f4514,plain,
( e12 = e13
| ~ spl72_205
| ~ spl72_212 ),
inference(forward_demodulation,[],[f1793,f1823]) ).
fof(f4499,plain,
( ~ spl72_7
| ~ spl72_14
| spl72_76
| ~ spl72_199
| ~ spl72_222 ),
inference(avatar_contradiction_clause,[],[f4498]) ).
fof(f4498,plain,
( $false
| ~ spl72_7
| ~ spl72_14
| spl72_76
| ~ spl72_199
| ~ spl72_222 ),
inference(subsumption_resolution,[],[f4497,f1743]) ).
fof(f4497,plain,
( e20 != op2(e21,e21)
| ~ spl72_7
| ~ spl72_14
| spl72_76
| ~ spl72_222 ),
inference(forward_demodulation,[],[f4496,f922]) ).
fof(f922,plain,
( e20 = h4(e11)
| ~ spl72_14 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f921,plain,
( spl72_14
<=> e20 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).
fof(f4496,plain,
( op2(e21,e21) != h4(e11)
| ~ spl72_7
| spl72_76
| ~ spl72_222 ),
inference(forward_demodulation,[],[f4495,f1865]) ).
fof(f4495,plain,
( op2(e21,e21) != h4(op1(e13,e13))
| ~ spl72_7
| spl72_76 ),
inference(forward_demodulation,[],[f1209,f888]) ).
fof(f888,plain,
( e21 = h4(e13)
| ~ spl72_7 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl72_7
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).
fof(f4490,plain,
( ~ spl72_7
| spl72_75
| ~ spl72_78
| ~ spl72_156
| ~ spl72_211 ),
inference(avatar_contradiction_clause,[],[f4489]) ).
fof(f4489,plain,
( $false
| ~ spl72_7
| spl72_75
| ~ spl72_78
| ~ spl72_156
| ~ spl72_211 ),
inference(subsumption_resolution,[],[f4488,f1553]) ).
fof(f1553,plain,
( e21 = op2(e21,e23)
| ~ spl72_156 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f4488,plain,
( e21 != op2(e21,e23)
| ~ spl72_7
| spl72_75
| ~ spl72_78
| ~ spl72_211 ),
inference(forward_demodulation,[],[f4487,f888]) ).
fof(f4487,plain,
( op2(e21,e23) != h4(e13)
| ~ spl72_7
| spl72_75
| ~ spl72_78
| ~ spl72_211 ),
inference(forward_demodulation,[],[f4486,f1818]) ).
fof(f4486,plain,
( op2(e21,e23) != h4(op1(e13,e12))
| ~ spl72_7
| spl72_75
| ~ spl72_78 ),
inference(forward_demodulation,[],[f4485,f888]) ).
fof(f4485,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl72_75
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1205,f1217]) ).
fof(f4480,plain,
( ~ spl72_7
| ~ spl72_14
| spl72_74
| ~ spl72_78
| ~ spl72_191
| ~ spl72_217 ),
inference(avatar_contradiction_clause,[],[f4479]) ).
fof(f4479,plain,
( $false
| ~ spl72_7
| ~ spl72_14
| spl72_74
| ~ spl72_78
| ~ spl72_191
| ~ spl72_217 ),
inference(subsumption_resolution,[],[f4478,f1706]) ).
fof(f4478,plain,
( e23 != op2(e21,e20)
| ~ spl72_7
| ~ spl72_14
| spl72_74
| ~ spl72_78
| ~ spl72_217 ),
inference(forward_demodulation,[],[f4477,f1217]) ).
fof(f4477,plain,
( op2(e21,e20) != h4(e12)
| ~ spl72_7
| ~ spl72_14
| spl72_74
| ~ spl72_217 ),
inference(forward_demodulation,[],[f4476,f1844]) ).
fof(f4476,plain,
( op2(e21,e20) != h4(op1(e13,e11))
| ~ spl72_7
| ~ spl72_14
| spl72_74 ),
inference(forward_demodulation,[],[f4475,f888]) ).
fof(f4475,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e20)
| ~ spl72_14
| spl72_74 ),
inference(forward_demodulation,[],[f1201,f922]) ).
fof(f4470,plain,
( ~ spl72_5
| ~ spl72_7
| spl72_73
| ~ spl72_175
| ~ spl72_230 ),
inference(avatar_contradiction_clause,[],[f4469]) ).
fof(f4469,plain,
( $false
| ~ spl72_5
| ~ spl72_7
| spl72_73
| ~ spl72_175
| ~ spl72_230 ),
inference(subsumption_resolution,[],[f4468,f1635]) ).
fof(f4468,plain,
( e22 != op2(e21,e22)
| ~ spl72_5
| ~ spl72_7
| spl72_73
| ~ spl72_230 ),
inference(forward_demodulation,[],[f4467,f879]) ).
fof(f879,plain,
( e22 = h4(e10)
| ~ spl72_5 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f4467,plain,
( op2(e21,e22) != h4(e10)
| ~ spl72_5
| ~ spl72_7
| spl72_73
| ~ spl72_230 ),
inference(forward_demodulation,[],[f4466,f1900]) ).
fof(f4466,plain,
( op2(e21,e22) != h4(op1(e13,e10))
| ~ spl72_5
| ~ spl72_7
| spl72_73 ),
inference(forward_demodulation,[],[f4465,f888]) ).
fof(f4465,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e22)
| ~ spl72_5
| spl72_73 ),
inference(forward_demodulation,[],[f1197,f879]) ).
fof(f4461,plain,
( ~ spl72_5
| ~ spl72_7
| spl72_72
| ~ spl72_78
| ~ spl72_153
| ~ spl72_228 ),
inference(avatar_contradiction_clause,[],[f4460]) ).
fof(f4460,plain,
( $false
| ~ spl72_5
| ~ spl72_7
| spl72_72
| ~ spl72_78
| ~ spl72_153
| ~ spl72_228 ),
inference(subsumption_resolution,[],[f4459,f1540]) ).
fof(f4459,plain,
( e22 != op2(e23,e21)
| ~ spl72_5
| ~ spl72_7
| spl72_72
| ~ spl72_78
| ~ spl72_228 ),
inference(forward_demodulation,[],[f4458,f879]) ).
fof(f4458,plain,
( op2(e23,e21) != h4(e10)
| ~ spl72_7
| spl72_72
| ~ spl72_78
| ~ spl72_228 ),
inference(forward_demodulation,[],[f4457,f1891]) ).
fof(f4457,plain,
( op2(e23,e21) != h4(op1(e12,e13))
| ~ spl72_7
| spl72_72
| ~ spl72_78 ),
inference(forward_demodulation,[],[f4456,f1217]) ).
fof(f4456,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e21)
| ~ spl72_7
| spl72_72 ),
inference(forward_demodulation,[],[f1193,f888]) ).
fof(f4451,plain,
( ~ spl72_14
| spl72_71
| ~ spl72_78
| ~ spl72_165
| ~ spl72_245 ),
inference(avatar_contradiction_clause,[],[f4450]) ).
fof(f4450,plain,
( $false
| ~ spl72_14
| spl72_71
| ~ spl72_78
| ~ spl72_165
| ~ spl72_245 ),
inference(subsumption_resolution,[],[f4449,f1591]) ).
fof(f4449,plain,
( e20 != op2(e23,e23)
| ~ spl72_14
| spl72_71
| ~ spl72_78
| ~ spl72_245 ),
inference(forward_demodulation,[],[f4448,f922]) ).
fof(f4448,plain,
( op2(e23,e23) != h4(e11)
| spl72_71
| ~ spl72_78
| ~ spl72_245 ),
inference(forward_demodulation,[],[f4447,f1965]) ).
fof(f4447,plain,
( op2(e23,e23) != h4(op1(e12,e12))
| spl72_71
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1189,f1217]) ).
fof(f4442,plain,
( ~ spl72_7
| ~ spl72_14
| spl72_70
| ~ spl72_78
| ~ spl72_159
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f4441]) ).
fof(f4441,plain,
( $false
| ~ spl72_7
| ~ spl72_14
| spl72_70
| ~ spl72_78
| ~ spl72_159
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f4440,f1566]) ).
fof(f4440,plain,
( e21 != op2(e23,e20)
| ~ spl72_7
| ~ spl72_14
| spl72_70
| ~ spl72_78
| ~ spl72_237 ),
inference(forward_demodulation,[],[f4439,f888]) ).
fof(f4439,plain,
( op2(e23,e20) != h4(e13)
| ~ spl72_14
| spl72_70
| ~ spl72_78
| ~ spl72_237 ),
inference(forward_demodulation,[],[f4438,f1930]) ).
fof(f4438,plain,
( op2(e23,e20) != h4(op1(e12,e11))
| ~ spl72_14
| spl72_70
| ~ spl72_78 ),
inference(forward_demodulation,[],[f4437,f1217]) ).
fof(f4437,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e20)
| ~ spl72_14
| spl72_70 ),
inference(forward_demodulation,[],[f1185,f922]) ).
fof(f4432,plain,
( ~ spl72_5
| spl72_69
| ~ spl72_78
| ~ spl72_147
| ~ spl72_241 ),
inference(avatar_contradiction_clause,[],[f4431]) ).
fof(f4431,plain,
( $false
| ~ spl72_5
| spl72_69
| ~ spl72_78
| ~ spl72_147
| ~ spl72_241 ),
inference(subsumption_resolution,[],[f4430,f1514]) ).
fof(f4430,plain,
( e23 != op2(e23,e22)
| ~ spl72_5
| spl72_69
| ~ spl72_78
| ~ spl72_241 ),
inference(forward_demodulation,[],[f4429,f1217]) ).
fof(f4429,plain,
( op2(e23,e22) != h4(e12)
| ~ spl72_5
| spl72_69
| ~ spl72_78
| ~ spl72_241 ),
inference(forward_demodulation,[],[f4428,f1948]) ).
fof(f4428,plain,
( op2(e23,e22) != h4(op1(e12,e10))
| ~ spl72_5
| spl72_69
| ~ spl72_78 ),
inference(forward_demodulation,[],[f4427,f1217]) ).
fof(f4427,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e22)
| ~ spl72_5
| spl72_69 ),
inference(forward_demodulation,[],[f1181,f879]) ).
fof(f4422,plain,
( ~ spl72_7
| ~ spl72_14
| spl72_68
| ~ spl72_195
| ~ spl72_206 ),
inference(avatar_contradiction_clause,[],[f4421]) ).
fof(f4421,plain,
( $false
| ~ spl72_7
| ~ spl72_14
| spl72_68
| ~ spl72_195
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f4420,f1725]) ).
fof(f4420,plain,
( e21 != op2(e20,e21)
| ~ spl72_7
| ~ spl72_14
| spl72_68
| ~ spl72_206 ),
inference(forward_demodulation,[],[f4419,f888]) ).
fof(f4419,plain,
( op2(e20,e21) != h4(e13)
| ~ spl72_7
| ~ spl72_14
| spl72_68
| ~ spl72_206 ),
inference(forward_demodulation,[],[f4418,f1797]) ).
fof(f4418,plain,
( op2(e20,e21) != h4(op1(e11,e13))
| ~ spl72_7
| ~ spl72_14
| spl72_68 ),
inference(forward_demodulation,[],[f4417,f922]) ).
fof(f4417,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e21)
| ~ spl72_7
| spl72_68 ),
inference(forward_demodulation,[],[f1177,f888]) ).
fof(f4413,plain,
( ~ spl72_14
| spl72_67
| ~ spl72_78
| ~ spl72_141
| ~ spl72_239 ),
inference(avatar_contradiction_clause,[],[f4412]) ).
fof(f4412,plain,
( $false
| ~ spl72_14
| spl72_67
| ~ spl72_78
| ~ spl72_141
| ~ spl72_239 ),
inference(subsumption_resolution,[],[f4411,f1489]) ).
fof(f4411,plain,
( e23 != op2(e20,e23)
| ~ spl72_14
| spl72_67
| ~ spl72_78
| ~ spl72_239 ),
inference(forward_demodulation,[],[f4410,f1217]) ).
fof(f4410,plain,
( op2(e20,e23) != h4(e12)
| ~ spl72_14
| spl72_67
| ~ spl72_78
| ~ spl72_239 ),
inference(forward_demodulation,[],[f4409,f1939]) ).
fof(f4409,plain,
( op2(e20,e23) != h4(op1(e11,e12))
| ~ spl72_14
| spl72_67
| ~ spl72_78 ),
inference(forward_demodulation,[],[f4408,f922]) ).
fof(f4408,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| spl72_67
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1173,f1217]) ).
fof(f4403,plain,
( ~ spl72_5
| ~ spl72_14
| spl72_66
| ~ spl72_202
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f4402]) ).
fof(f4402,plain,
( $false
| ~ spl72_5
| ~ spl72_14
| spl72_66
| ~ spl72_202
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f4401,f1759]) ).
fof(f4401,plain,
( op2(e20,e20) != e22
| ~ spl72_5
| ~ spl72_14
| spl72_66
| ~ spl72_263 ),
inference(forward_demodulation,[],[f4400,f879]) ).
fof(f4400,plain,
( op2(e20,e20) != h4(e10)
| ~ spl72_14
| spl72_66
| ~ spl72_263 ),
inference(forward_demodulation,[],[f4399,f2047]) ).
fof(f4399,plain,
( op2(e20,e20) != h4(op1(e11,e11))
| ~ spl72_14
| spl72_66 ),
inference(forward_demodulation,[],[f1169,f922]) ).
fof(f4394,plain,
( ~ spl72_5
| ~ spl72_14
| spl72_65
| ~ spl72_184
| ~ spl72_261 ),
inference(avatar_contradiction_clause,[],[f4393]) ).
fof(f4393,plain,
( $false
| ~ spl72_5
| ~ spl72_14
| spl72_65
| ~ spl72_184
| ~ spl72_261 ),
inference(subsumption_resolution,[],[f4392,f1675]) ).
fof(f4392,plain,
( e20 != op2(e20,e22)
| ~ spl72_5
| ~ spl72_14
| spl72_65
| ~ spl72_261 ),
inference(forward_demodulation,[],[f4391,f922]) ).
fof(f4391,plain,
( op2(e20,e22) != h4(e11)
| ~ spl72_5
| ~ spl72_14
| spl72_65
| ~ spl72_261 ),
inference(forward_demodulation,[],[f4390,f2038]) ).
fof(f4390,plain,
( op2(e20,e22) != h4(op1(e11,e10))
| ~ spl72_5
| ~ spl72_14
| spl72_65 ),
inference(forward_demodulation,[],[f4389,f922]) ).
fof(f4389,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e22)
| ~ spl72_5
| spl72_65 ),
inference(forward_demodulation,[],[f1165,f879]) ).
fof(f4384,plain,
( ~ spl72_5
| ~ spl72_7
| spl72_64
| ~ spl72_78
| ~ spl72_173
| ~ spl72_212 ),
inference(avatar_contradiction_clause,[],[f4383]) ).
fof(f4383,plain,
( $false
| ~ spl72_5
| ~ spl72_7
| spl72_64
| ~ spl72_78
| ~ spl72_173
| ~ spl72_212 ),
inference(subsumption_resolution,[],[f4382,f1626]) ).
fof(f4382,plain,
( e23 != op2(e22,e21)
| ~ spl72_5
| ~ spl72_7
| spl72_64
| ~ spl72_78
| ~ spl72_212 ),
inference(forward_demodulation,[],[f4381,f1217]) ).
fof(f4381,plain,
( op2(e22,e21) != h4(e12)
| ~ spl72_5
| ~ spl72_7
| spl72_64
| ~ spl72_212 ),
inference(forward_demodulation,[],[f4380,f1823]) ).
fof(f4380,plain,
( op2(e22,e21) != h4(op1(e10,e13))
| ~ spl72_5
| ~ spl72_7
| spl72_64 ),
inference(forward_demodulation,[],[f4379,f879]) ).
fof(f4379,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| ~ spl72_7
| spl72_64 ),
inference(forward_demodulation,[],[f1161,f888]) ).
fof(f4374,plain,
( ~ spl72_5
| spl72_63
| ~ spl72_78
| ~ spl72_150
| ~ spl72_248 ),
inference(avatar_contradiction_clause,[],[f4373]) ).
fof(f4373,plain,
( $false
| ~ spl72_5
| spl72_63
| ~ spl72_78
| ~ spl72_150
| ~ spl72_248 ),
inference(subsumption_resolution,[],[f4372,f1527]) ).
fof(f4372,plain,
( e22 != op2(e22,e23)
| ~ spl72_5
| spl72_63
| ~ spl72_78
| ~ spl72_248 ),
inference(forward_demodulation,[],[f4371,f879]) ).
fof(f4371,plain,
( op2(e22,e23) != h4(e10)
| ~ spl72_5
| spl72_63
| ~ spl72_78
| ~ spl72_248 ),
inference(forward_demodulation,[],[f4370,f1979]) ).
fof(f4370,plain,
( op2(e22,e23) != h4(op1(e10,e12))
| ~ spl72_5
| spl72_63
| ~ spl72_78 ),
inference(forward_demodulation,[],[f4369,f879]) ).
fof(f4369,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| spl72_63
| ~ spl72_78 ),
inference(forward_demodulation,[],[f1157,f1217]) ).
fof(f4365,plain,
( ~ spl72_5
| ~ spl72_14
| spl72_62
| ~ spl72_187
| ~ spl72_259 ),
inference(avatar_contradiction_clause,[],[f4364]) ).
fof(f4364,plain,
( $false
| ~ spl72_5
| ~ spl72_14
| spl72_62
| ~ spl72_187
| ~ spl72_259 ),
inference(subsumption_resolution,[],[f4363,f1688]) ).
fof(f4363,plain,
( e20 != op2(e22,e20)
| ~ spl72_5
| ~ spl72_14
| spl72_62
| ~ spl72_259 ),
inference(forward_demodulation,[],[f4362,f922]) ).
fof(f4362,plain,
( op2(e22,e20) != h4(e11)
| ~ spl72_5
| ~ spl72_14
| spl72_62
| ~ spl72_259 ),
inference(forward_demodulation,[],[f4361,f2029]) ).
fof(f4361,plain,
( op2(e22,e20) != h4(op1(e10,e11))
| ~ spl72_5
| ~ spl72_14
| spl72_62 ),
inference(forward_demodulation,[],[f4360,f879]) ).
fof(f4360,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e20)
| ~ spl72_14
| spl72_62 ),
inference(forward_demodulation,[],[f1153,f922]) ).
fof(f4359,plain,
( ~ spl72_5
| ~ spl72_7
| spl72_61
| ~ spl72_181
| ~ spl72_265 ),
inference(avatar_contradiction_clause,[],[f4358]) ).
fof(f4358,plain,
( $false
| ~ spl72_5
| ~ spl72_7
| spl72_61
| ~ spl72_181
| ~ spl72_265 ),
inference(subsumption_resolution,[],[f4357,f1661]) ).
fof(f4357,plain,
( e21 != op2(e22,e22)
| ~ spl72_5
| ~ spl72_7
| spl72_61
| ~ spl72_265 ),
inference(forward_demodulation,[],[f4356,f888]) ).
fof(f4356,plain,
( op2(e22,e22) != h4(e13)
| ~ spl72_5
| spl72_61
| ~ spl72_265 ),
inference(forward_demodulation,[],[f4355,f2057]) ).
fof(f4355,plain,
( op2(e22,e22) != h4(op1(e10,e10))
| ~ spl72_5
| spl72_61 ),
inference(superposition,[],[f1149,f879]) ).
fof(f4354,plain,
( spl72_5
| ~ spl72_165
| ~ spl72_202 ),
inference(avatar_split_clause,[],[f4353,f1757,f1589,f878]) ).
fof(f4353,plain,
( e22 = h4(e10)
| ~ spl72_165
| ~ spl72_202 ),
inference(forward_demodulation,[],[f4352,f1759]) ).
fof(f4352,plain,
( op2(e20,e20) = h4(e10)
| ~ spl72_165 ),
inference(forward_demodulation,[],[f261,f1591]) ).
fof(f4349,plain,
( spl72_97
| ~ spl72_173
| ~ spl72_181 ),
inference(avatar_split_clause,[],[f4348,f1659,f1624,f1295]) ).
fof(f4348,plain,
( e23 = h3(e13)
| ~ spl72_173
| ~ spl72_181 ),
inference(forward_demodulation,[],[f4347,f1626]) ).
fof(f4347,plain,
( op2(e22,e21) = h3(e13)
| ~ spl72_181 ),
inference(forward_demodulation,[],[f275,f1661]) ).
fof(f275,plain,
op2(e22,op2(e22,e22)) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f4346,plain,
( spl72_117
| ~ spl72_191
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f4345,f1741,f1704,f1379]) ).
fof(f4345,plain,
( e23 = h2(e13)
| ~ spl72_191
| ~ spl72_199 ),
inference(forward_demodulation,[],[f4344,f1706]) ).
fof(f4344,plain,
( op2(e21,e20) = h2(e13)
| ~ spl72_199 ),
inference(forward_demodulation,[],[f271,f1743]) ).
fof(f271,plain,
h2(e13) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f4340,plain,
( spl72_7
| ~ spl72_159
| ~ spl72_165 ),
inference(avatar_split_clause,[],[f4339,f1589,f1564,f887]) ).
fof(f4339,plain,
( e21 = h4(e13)
| ~ spl72_159
| ~ spl72_165 ),
inference(forward_demodulation,[],[f4338,f1566]) ).
fof(f4338,plain,
( op2(e23,e20) = h4(e13)
| ~ spl72_165 ),
inference(forward_demodulation,[],[f263,f1591]) ).
fof(f4323,plain,
( ~ spl72_194
| ~ spl72_175 ),
inference(avatar_split_clause,[],[f4322,f1633,f1718]) ).
fof(f1718,plain,
( spl72_194
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_194])]) ).
fof(f4322,plain,
( e22 != op2(e21,e20)
| ~ spl72_175 ),
inference(forward_demodulation,[],[f355,f1635]) ).
fof(f355,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4293,plain,
( spl72_44
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f4292,f1741,f1065]) ).
fof(f4292,plain,
( e20 = h2(e11)
| ~ spl72_199 ),
inference(forward_demodulation,[],[f270,f1743]) ).
fof(f270,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f4290,plain,
( spl72_49
| ~ spl72_202 ),
inference(avatar_split_clause,[],[f4289,f1757,f1089]) ).
fof(f4289,plain,
( e22 = h1(e11)
| ~ spl72_202 ),
inference(forward_demodulation,[],[f266,f1759]) ).
fof(f266,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f4287,plain,
( spl72_14
| ~ spl72_165 ),
inference(avatar_split_clause,[],[f4286,f1589,f921]) ).
fof(f4286,plain,
( e20 = h4(e11)
| ~ spl72_165 ),
inference(forward_demodulation,[],[f262,f1591]) ).
fof(f4262,plain,
( ~ spl72_202
| ~ spl72_203 ),
inference(avatar_contradiction_clause,[],[f4261]) ).
fof(f4261,plain,
( $false
| ~ spl72_202
| ~ spl72_203 ),
inference(subsumption_resolution,[],[f4256,f235]) ).
fof(f235,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4256,plain,
( e21 = e22
| ~ spl72_202
| ~ spl72_203 ),
inference(superposition,[],[f1759,f1765]) ).
fof(f1765,plain,
( op2(e20,e20) = e21
| ~ spl72_203 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1763,plain,
( spl72_203
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_203])]) ).
fof(f4224,plain,
( ~ spl72_141
| ~ spl72_162 ),
inference(avatar_contradiction_clause,[],[f4223]) ).
fof(f4223,plain,
( $false
| ~ spl72_141
| ~ spl72_162 ),
inference(subsumption_resolution,[],[f4218,f234]) ).
fof(f234,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f4218,plain,
( e20 = e23
| ~ spl72_141
| ~ spl72_162 ),
inference(superposition,[],[f1489,f1579]) ).
fof(f4213,plain,
( ~ spl72_142
| ~ spl72_156 ),
inference(avatar_contradiction_clause,[],[f4212]) ).
fof(f4212,plain,
( $false
| ~ spl72_142
| ~ spl72_156 ),
inference(subsumption_resolution,[],[f4208,f236]) ).
fof(f236,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f4208,plain,
( e21 = e23
| ~ spl72_142
| ~ spl72_156 ),
inference(superposition,[],[f1493,f1553]) ).
fof(f4191,plain,
( ~ spl72_182
| ~ spl72_181 ),
inference(avatar_split_clause,[],[f4165,f1659,f1664]) ).
fof(f1664,plain,
( spl72_182
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_182])]) ).
fof(f4165,plain,
( e21 != op2(e22,e20)
| ~ spl72_181 ),
inference(forward_demodulation,[],[f361,f1661]) ).
fof(f361,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4190,plain,
( ~ spl72_179
| ~ spl72_181 ),
inference(avatar_split_clause,[],[f4140,f1659,f1651]) ).
fof(f1651,plain,
( spl72_179
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_179])]) ).
fof(f4140,plain,
( e21 != op2(e20,e22)
| ~ spl72_181 ),
inference(forward_demodulation,[],[f337,f1661]) ).
fof(f337,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4188,plain,
( spl72_173
| ~ spl72_181 ),
inference(avatar_split_clause,[],[f4177,f1659,f1624]) ).
fof(f4177,plain,
( e23 = op2(e22,e21)
| ~ spl72_181 ),
inference(forward_demodulation,[],[f374,f1661]) ).
fof(f374,plain,
e23 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f4075,plain,
( spl72_24
| ~ spl72_181 ),
inference(avatar_split_clause,[],[f4074,f1659,f969]) ).
fof(f4074,plain,
( e21 = h3(e11)
| ~ spl72_181 ),
inference(forward_demodulation,[],[f274,f1661]) ).
fof(f274,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f4071,plain,
( spl72_139
| ~ spl72_201 ),
inference(avatar_split_clause,[],[f4070,f1751,f1473]) ).
fof(f4070,plain,
( e23 = h1(e11)
| ~ spl72_201 ),
inference(forward_demodulation,[],[f266,f1753]) ).
fof(f4044,plain,
( ~ spl72_265
| ~ spl72_268 ),
inference(avatar_contradiction_clause,[],[f4043]) ).
fof(f4043,plain,
( $false
| ~ spl72_265
| ~ spl72_268 ),
inference(subsumption_resolution,[],[f4040,f256]) ).
fof(f256,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4040,plain,
( e10 = e13
| ~ spl72_265
| ~ spl72_268 ),
inference(superposition,[],[f2057,f2075]) ).
fof(f2075,plain,
( e10 = op1(e10,e10)
| ~ spl72_268 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f3941,plain,
( ~ spl72_222
| ~ spl72_229 ),
inference(avatar_contradiction_clause,[],[f3940]) ).
fof(f3940,plain,
( $false
| ~ spl72_222
| ~ spl72_229 ),
inference(subsumption_resolution,[],[f3936,f254]) ).
fof(f254,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f3936,plain,
( e10 = e11
| ~ spl72_222
| ~ spl72_229 ),
inference(superposition,[],[f1865,f1895]) ).
fof(f3921,plain,
( ~ spl72_207
| ~ spl72_214 ),
inference(avatar_contradiction_clause,[],[f3920]) ).
fof(f3920,plain,
( $false
| ~ spl72_207
| ~ spl72_214 ),
inference(subsumption_resolution,[],[f3917,f259]) ).
fof(f3917,plain,
( e12 = e13
| ~ spl72_207
| ~ spl72_214 ),
inference(superposition,[],[f1801,f1831]) ).
fof(f1801,plain,
( e13 = op1(e12,e13)
| ~ spl72_207 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f3905,plain,
( ~ spl72_265
| ~ spl72_267 ),
inference(avatar_contradiction_clause,[],[f3904]) ).
fof(f3904,plain,
( $false
| ~ spl72_265
| ~ spl72_267 ),
inference(subsumption_resolution,[],[f3901,f258]) ).
fof(f3901,plain,
( e11 = e13
| ~ spl72_265
| ~ spl72_267 ),
inference(superposition,[],[f2057,f2069]) ).
fof(f3895,plain,
( ~ spl72_260
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f3894]) ).
fof(f3894,plain,
( $false
| ~ spl72_260
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f3890,f254]) ).
fof(f3890,plain,
( e10 = e11
| ~ spl72_260
| ~ spl72_263 ),
inference(superposition,[],[f2033,f2047]) ).
fof(f2033,plain,
( e11 = op1(e11,e11)
| ~ spl72_260 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f2031,plain,
( spl72_260
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_260])]) ).
fof(f3829,plain,
( ~ spl72_218
| ~ spl72_232 ),
inference(avatar_contradiction_clause,[],[f3828]) ).
fof(f3828,plain,
( $false
| ~ spl72_218
| ~ spl72_232 ),
inference(subsumption_resolution,[],[f3824,f255]) ).
fof(f3824,plain,
( e10 = e12
| ~ spl72_218
| ~ spl72_232 ),
inference(superposition,[],[f1848,f1908]) ).
fof(f1848,plain,
( e12 = op1(e13,e12)
| ~ spl72_218 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f1846,plain,
( spl72_218
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_218])]) ).
fof(f3800,plain,
( ~ spl72_214
| ~ spl72_228 ),
inference(avatar_contradiction_clause,[],[f3799]) ).
fof(f3799,plain,
( $false
| ~ spl72_214
| ~ spl72_228 ),
inference(subsumption_resolution,[],[f3798,f255]) ).
fof(f3798,plain,
( e10 = e12
| ~ spl72_214
| ~ spl72_228 ),
inference(forward_demodulation,[],[f1831,f1891]) ).
fof(f3754,plain,
( ~ spl72_253
| ~ spl72_259 ),
inference(avatar_contradiction_clause,[],[f3753]) ).
fof(f3753,plain,
( $false
| ~ spl72_253
| ~ spl72_259 ),
inference(subsumption_resolution,[],[f3752,f258]) ).
fof(f3752,plain,
( e11 = e13
| ~ spl72_253
| ~ spl72_259 ),
inference(forward_demodulation,[],[f2001,f2029]) ).
fof(f2001,plain,
( e13 = op1(e10,e11)
| ~ spl72_253 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f1999,plain,
( spl72_253
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_253])]) ).
fof(f3751,plain,
( ~ spl72_206
| ~ spl72_213 ),
inference(avatar_contradiction_clause,[],[f3750]) ).
fof(f3750,plain,
( $false
| ~ spl72_206
| ~ spl72_213 ),
inference(subsumption_resolution,[],[f3749,f259]) ).
fof(f3749,plain,
( e12 = e13
| ~ spl72_206
| ~ spl72_213 ),
inference(forward_demodulation,[],[f1797,f1827]) ).
fof(f1827,plain,
( e12 = op1(e11,e13)
| ~ spl72_213 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f1825,plain,
( spl72_213
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_213])]) ).
fof(f3743,plain,
( ~ spl72_235
| ~ spl72_245 ),
inference(avatar_contradiction_clause,[],[f3742]) ).
fof(f3742,plain,
( $false
| ~ spl72_235
| ~ spl72_245 ),
inference(subsumption_resolution,[],[f3741,f258]) ).
fof(f3741,plain,
( e11 = e13
| ~ spl72_235
| ~ spl72_245 ),
inference(forward_demodulation,[],[f1921,f1965]) ).
fof(f1921,plain,
( e13 = op1(e12,e12)
| ~ spl72_235 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f1919,plain,
( spl72_235
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_235])]) ).
fof(f3740,plain,
( ~ spl72_209
| ~ spl72_230 ),
inference(avatar_contradiction_clause,[],[f3739]) ).
fof(f3739,plain,
( $false
| ~ spl72_209
| ~ spl72_230 ),
inference(subsumption_resolution,[],[f3738,f256]) ).
fof(f3738,plain,
( e10 = e13
| ~ spl72_209
| ~ spl72_230 ),
inference(forward_demodulation,[],[f1810,f1900]) ).
fof(f3734,plain,
( ~ spl72_245
| ~ spl72_250 ),
inference(avatar_contradiction_clause,[],[f3733]) ).
fof(f3733,plain,
( $false
| ~ spl72_245
| ~ spl72_250 ),
inference(subsumption_resolution,[],[f3729,f254]) ).
fof(f3729,plain,
( e10 = e11
| ~ spl72_245
| ~ spl72_250 ),
inference(superposition,[],[f1965,f1987]) ).
fof(f1987,plain,
( e10 = op1(e12,e12)
| ~ spl72_250 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f1985,plain,
( spl72_250
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_250])]) ).
fof(f3721,plain,
( ~ spl72_240
| ~ spl72_245 ),
inference(avatar_contradiction_clause,[],[f3720]) ).
fof(f3720,plain,
( $false
| ~ spl72_240
| ~ spl72_245 ),
inference(subsumption_resolution,[],[f3719,f257]) ).
fof(f3719,plain,
( e11 = e12
| ~ spl72_240
| ~ spl72_245 ),
inference(forward_demodulation,[],[f1943,f1965]) ).
fof(f1943,plain,
( e12 = op1(e12,e12)
| ~ spl72_240 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f1941,plain,
( spl72_240
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_240])]) ).
fof(f3709,plain,
( ~ spl72_254
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f3708]) ).
fof(f3708,plain,
( $false
| ~ spl72_254
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f3705,f256]) ).
fof(f3705,plain,
( e10 = e13
| ~ spl72_254
| ~ spl72_263 ),
inference(superposition,[],[f2005,f2047]) ).
fof(f2005,plain,
( e13 = op1(e11,e11)
| ~ spl72_254 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f2003,plain,
( spl72_254
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_254])]) ).
fof(f3684,plain,
( ~ spl72_255
| ~ spl72_261 ),
inference(avatar_contradiction_clause,[],[f3683]) ).
fof(f3683,plain,
( $false
| ~ spl72_255
| ~ spl72_261 ),
inference(subsumption_resolution,[],[f3680,f258]) ).
fof(f3680,plain,
( e11 = e13
| ~ spl72_255
| ~ spl72_261 ),
inference(superposition,[],[f2010,f2038]) ).
fof(f3668,plain,
( ~ spl72_256
| ~ spl72_259 ),
inference(avatar_contradiction_clause,[],[f3667]) ).
fof(f3667,plain,
( $false
| ~ spl72_256
| ~ spl72_259 ),
inference(subsumption_resolution,[],[f3664,f257]) ).
fof(f3664,plain,
( e11 = e12
| ~ spl72_256
| ~ spl72_259 ),
inference(superposition,[],[f2015,f2029]) ).
fof(f2015,plain,
( e12 = op1(e10,e11)
| ~ spl72_256 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f2013,plain,
( spl72_256
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_256])]) ).
fof(f3660,plain,
( ~ spl72_205
| ~ spl72_226 ),
inference(avatar_contradiction_clause,[],[f3659]) ).
fof(f3659,plain,
( $false
| ~ spl72_205
| ~ spl72_226 ),
inference(subsumption_resolution,[],[f3658,f256]) ).
fof(f3658,plain,
( e10 = e13
| ~ spl72_205
| ~ spl72_226 ),
inference(forward_demodulation,[],[f1793,f1883]) ).
fof(f3656,plain,
( ~ spl72_233
| ~ spl72_248 ),
inference(avatar_contradiction_clause,[],[f3655]) ).
fof(f3655,plain,
( $false
| ~ spl72_233
| ~ spl72_248 ),
inference(subsumption_resolution,[],[f3654,f256]) ).
fof(f3654,plain,
( e10 = e13
| ~ spl72_233
| ~ spl72_248 ),
inference(forward_demodulation,[],[f1913,f1979]) ).
fof(f3652,plain,
( ~ spl72_253
| ~ spl72_256 ),
inference(avatar_contradiction_clause,[],[f3651]) ).
fof(f3651,plain,
( $false
| ~ spl72_253
| ~ spl72_256 ),
inference(subsumption_resolution,[],[f3648,f259]) ).
fof(f3648,plain,
( e12 = e13
| ~ spl72_253
| ~ spl72_256 ),
inference(superposition,[],[f2001,f2015]) ).
fof(f3645,plain,
( ~ spl72_237
| ~ spl72_252 ),
inference(avatar_contradiction_clause,[],[f3644]) ).
fof(f3644,plain,
( $false
| ~ spl72_237
| ~ spl72_252 ),
inference(subsumption_resolution,[],[f3641,f256]) ).
fof(f3641,plain,
( e10 = e13
| ~ spl72_237
| ~ spl72_252 ),
inference(superposition,[],[f1930,f1996]) ).
fof(f1996,plain,
( e10 = op1(e12,e11)
| ~ spl72_252 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f1994,plain,
( spl72_252
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_252])]) ).
fof(f3637,plain,
( ~ spl72_241
| ~ spl72_251 ),
inference(avatar_contradiction_clause,[],[f3636]) ).
fof(f3636,plain,
( $false
| ~ spl72_241
| ~ spl72_251 ),
inference(subsumption_resolution,[],[f3633,f255]) ).
fof(f3633,plain,
( e10 = e12
| ~ spl72_241
| ~ spl72_251 ),
inference(superposition,[],[f1948,f1992]) ).
fof(f3619,plain,
( ~ spl72_238
| ~ spl72_248 ),
inference(avatar_contradiction_clause,[],[f3618]) ).
fof(f3618,plain,
( $false
| ~ spl72_238
| ~ spl72_248 ),
inference(subsumption_resolution,[],[f3615,f255]) ).
fof(f3615,plain,
( e10 = e12
| ~ spl72_238
| ~ spl72_248 ),
inference(superposition,[],[f1935,f1979]) ).
fof(f1935,plain,
( e12 = op1(e10,e12)
| ~ spl72_238 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f1933,plain,
( spl72_238
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_238])]) ).
fof(f3610,plain,
( ~ spl72_233
| ~ spl72_238 ),
inference(avatar_contradiction_clause,[],[f3609]) ).
fof(f3609,plain,
( $false
| ~ spl72_233
| ~ spl72_238 ),
inference(subsumption_resolution,[],[f3606,f259]) ).
fof(f3606,plain,
( e12 = e13
| ~ spl72_233
| ~ spl72_238 ),
inference(superposition,[],[f1913,f1935]) ).
fof(f3603,plain,
( ~ spl72_239
| ~ spl72_244 ),
inference(avatar_contradiction_clause,[],[f3602]) ).
fof(f3602,plain,
( $false
| ~ spl72_239
| ~ spl72_244 ),
inference(subsumption_resolution,[],[f3599,f257]) ).
fof(f3599,plain,
( e11 = e12
| ~ spl72_239
| ~ spl72_244 ),
inference(superposition,[],[f1939,f1961]) ).
fof(f1961,plain,
( e11 = op1(e11,e12)
| ~ spl72_244 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1959,plain,
( spl72_244
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_244])]) ).
fof(f3589,plain,
( ~ spl72_211
| ~ spl72_232 ),
inference(avatar_contradiction_clause,[],[f3588]) ).
fof(f3588,plain,
( $false
| ~ spl72_211
| ~ spl72_232 ),
inference(subsumption_resolution,[],[f3585,f256]) ).
fof(f3585,plain,
( e10 = e13
| ~ spl72_211
| ~ spl72_232 ),
inference(superposition,[],[f1818,f1908]) ).
fof(f3573,plain,
( ~ spl72_223
| ~ spl72_230 ),
inference(avatar_contradiction_clause,[],[f3572]) ).
fof(f3572,plain,
( $false
| ~ spl72_223
| ~ spl72_230 ),
inference(subsumption_resolution,[],[f3569,f254]) ).
fof(f3569,plain,
( e10 = e11
| ~ spl72_223
| ~ spl72_230 ),
inference(superposition,[],[f1870,f1900]) ).
fof(f3563,plain,
( ~ spl72_219
| ~ spl72_226 ),
inference(avatar_contradiction_clause,[],[f3562]) ).
fof(f3562,plain,
( $false
| ~ spl72_219
| ~ spl72_226 ),
inference(subsumption_resolution,[],[f3558,f254]) ).
fof(f3558,plain,
( e10 = e11
| ~ spl72_219
| ~ spl72_226 ),
inference(superposition,[],[f1853,f1883]) ).
fof(f3554,plain,
( ~ spl72_208
| ~ spl72_222 ),
inference(avatar_contradiction_clause,[],[f3553]) ).
fof(f3553,plain,
( $false
| ~ spl72_208
| ~ spl72_222 ),
inference(subsumption_resolution,[],[f3550,f258]) ).
fof(f3550,plain,
( e11 = e13
| ~ spl72_208
| ~ spl72_222 ),
inference(superposition,[],[f1805,f1865]) ).
fof(f1805,plain,
( e13 = op1(e13,e13)
| ~ spl72_208 ),
inference(avatar_component_clause,[],[f1803]) ).
fof(f1803,plain,
( spl72_208
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_208])]) ).
fof(f3537,plain,
( ~ spl72_208
| ~ spl72_229 ),
inference(avatar_contradiction_clause,[],[f3536]) ).
fof(f3536,plain,
( $false
| ~ spl72_208
| ~ spl72_229 ),
inference(subsumption_resolution,[],[f3533,f256]) ).
fof(f3533,plain,
( e10 = e13
| ~ spl72_208
| ~ spl72_229 ),
inference(superposition,[],[f1805,f1895]) ).
fof(f3528,plain,
( ~ spl72_207
| ~ spl72_228 ),
inference(avatar_contradiction_clause,[],[f3527]) ).
fof(f3527,plain,
( $false
| ~ spl72_207
| ~ spl72_228 ),
inference(subsumption_resolution,[],[f3524,f256]) ).
fof(f3524,plain,
( e10 = e13
| ~ spl72_207
| ~ spl72_228 ),
inference(superposition,[],[f1801,f1891]) ).
fof(f3506,plain,
( ~ spl72_217
| ~ spl72_224 ),
inference(avatar_contradiction_clause,[],[f3505]) ).
fof(f3505,plain,
( $false
| ~ spl72_217
| ~ spl72_224 ),
inference(subsumption_resolution,[],[f3502,f257]) ).
fof(f3502,plain,
( e11 = e12
| ~ spl72_217
| ~ spl72_224 ),
inference(superposition,[],[f1844,f1874]) ).
fof(f1874,plain,
( e11 = op1(e13,e11)
| ~ spl72_224 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f3490,plain,
( ~ spl72_213
| ~ spl72_220 ),
inference(avatar_contradiction_clause,[],[f3489]) ).
fof(f3489,plain,
( $false
| ~ spl72_213
| ~ spl72_220 ),
inference(subsumption_resolution,[],[f3486,f257]) ).
fof(f3486,plain,
( e11 = e12
| ~ spl72_213
| ~ spl72_220 ),
inference(superposition,[],[f1827,f1857]) ).
fof(f3476,plain,
( ~ spl72_211
| ~ spl72_218 ),
inference(avatar_contradiction_clause,[],[f3475]) ).
fof(f3475,plain,
( $false
| ~ spl72_211
| ~ spl72_218 ),
inference(subsumption_resolution,[],[f3472,f259]) ).
fof(f3472,plain,
( e12 = e13
| ~ spl72_211
| ~ spl72_218 ),
inference(superposition,[],[f1818,f1848]) ).
fof(f3442,plain,
( ~ spl72_151
| ~ spl72_165 ),
inference(avatar_contradiction_clause,[],[f3441]) ).
fof(f3441,plain,
( $false
| ~ spl72_151
| ~ spl72_165 ),
inference(subsumption_resolution,[],[f3436,f233]) ).
fof(f233,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3436,plain,
( e20 = e22
| ~ spl72_151
| ~ spl72_165 ),
inference(superposition,[],[f1531,f1591]) ).
fof(f1531,plain,
( e22 = op2(e23,e23)
| ~ spl72_151 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1529,plain,
( spl72_151
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_151])]) ).
fof(f3421,plain,
( ~ spl72_201
| ~ spl72_204 ),
inference(avatar_contradiction_clause,[],[f3420]) ).
fof(f3420,plain,
( $false
| ~ spl72_201
| ~ spl72_204 ),
inference(subsumption_resolution,[],[f3417,f234]) ).
fof(f3417,plain,
( e20 = e23
| ~ spl72_201
| ~ spl72_204 ),
inference(superposition,[],[f1753,f1771]) ).
fof(f1771,plain,
( e20 = op2(e20,e20)
| ~ spl72_204 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f3412,plain,
( ~ spl72_201
| ~ spl72_203 ),
inference(avatar_contradiction_clause,[],[f3411]) ).
fof(f3411,plain,
( $false
| ~ spl72_201
| ~ spl72_203 ),
inference(subsumption_resolution,[],[f3408,f236]) ).
fof(f3408,plain,
( e21 = e23
| ~ spl72_201
| ~ spl72_203 ),
inference(superposition,[],[f1753,f1765]) ).
fof(f3359,plain,
( ~ spl72_193
| ~ spl72_199 ),
inference(avatar_contradiction_clause,[],[f3358]) ).
fof(f3358,plain,
( $false
| ~ spl72_193
| ~ spl72_199 ),
inference(subsumption_resolution,[],[f3357,f233]) ).
fof(f3357,plain,
( e20 = e22
| ~ spl72_193
| ~ spl72_199 ),
inference(forward_demodulation,[],[f1715,f1743]) ).
fof(f1715,plain,
( e22 = op2(e21,e21)
| ~ spl72_193 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f3355,plain,
( ~ spl72_201
| ~ spl72_202 ),
inference(avatar_contradiction_clause,[],[f3354]) ).
fof(f3354,plain,
( $false
| ~ spl72_201
| ~ spl72_202 ),
inference(subsumption_resolution,[],[f3351,f237]) ).
fof(f237,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f3351,plain,
( e22 = e23
| ~ spl72_201
| ~ spl72_202 ),
inference(superposition,[],[f1753,f1759]) ).
fof(f3335,plain,
( ~ spl72_173
| ~ spl72_183 ),
inference(avatar_contradiction_clause,[],[f3334]) ).
fof(f3334,plain,
( $false
| ~ spl72_173
| ~ spl72_183 ),
inference(subsumption_resolution,[],[f3330,f236]) ).
fof(f3330,plain,
( e21 = e23
| ~ spl72_173
| ~ spl72_183 ),
inference(superposition,[],[f1626,f1670]) ).
fof(f1670,plain,
( e21 = op2(e22,e21)
| ~ spl72_183 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f1668,plain,
( spl72_183
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_183])]) ).
fof(f3314,plain,
( ~ spl72_143
| ~ spl72_150 ),
inference(avatar_contradiction_clause,[],[f3313]) ).
fof(f3313,plain,
( $false
| ~ spl72_143
| ~ spl72_150 ),
inference(subsumption_resolution,[],[f3312,f237]) ).
fof(f3312,plain,
( e22 = e23
| ~ spl72_143
| ~ spl72_150 ),
inference(forward_demodulation,[],[f1497,f1527]) ).
fof(f1497,plain,
( e23 = op2(e22,e23)
| ~ spl72_143 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1495,plain,
( spl72_143
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_143])]) ).
fof(f3311,plain,
( ~ spl72_196
| ~ spl72_199 ),
inference(avatar_contradiction_clause,[],[f3310]) ).
fof(f3310,plain,
( $false
| ~ spl72_196
| ~ spl72_199 ),
inference(subsumption_resolution,[],[f3305,f232]) ).
fof(f232,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f3305,plain,
( e20 = e21
| ~ spl72_196
| ~ spl72_199 ),
inference(superposition,[],[f1729,f1743]) ).
fof(f1729,plain,
( e21 = op2(e21,e21)
| ~ spl72_196 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1727,plain,
( spl72_196
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_196])]) ).
fof(f3302,plain,
( ~ spl72_192
| ~ spl72_198 ),
inference(avatar_contradiction_clause,[],[f3301]) ).
fof(f3301,plain,
( $false
| ~ spl72_192
| ~ spl72_198 ),
inference(subsumption_resolution,[],[f3297,f233]) ).
fof(f3297,plain,
( e20 = e22
| ~ spl72_192
| ~ spl72_198 ),
inference(superposition,[],[f1711,f1739]) ).
fof(f1739,plain,
( e20 = op2(e20,e21)
| ~ spl72_198 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1737,plain,
( spl72_198
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_198])]) ).
fof(f1711,plain,
( e22 = op2(e20,e21)
| ~ spl72_192 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1709,plain,
( spl72_192
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_192])]) ).
fof(f3270,plain,
( ~ spl72_150
| ~ spl72_164 ),
inference(avatar_contradiction_clause,[],[f3269]) ).
fof(f3269,plain,
( $false
| ~ spl72_150
| ~ spl72_164 ),
inference(subsumption_resolution,[],[f3265,f233]) ).
fof(f3265,plain,
( e20 = e22
| ~ spl72_150
| ~ spl72_164 ),
inference(superposition,[],[f1527,f1587]) ).
fof(f3256,plain,
( ~ spl72_145
| ~ spl72_159 ),
inference(avatar_contradiction_clause,[],[f3255]) ).
fof(f3255,plain,
( $false
| ~ spl72_145
| ~ spl72_159 ),
inference(subsumption_resolution,[],[f3254,f236]) ).
fof(f3254,plain,
( e21 = e23
| ~ spl72_145
| ~ spl72_159 ),
inference(forward_demodulation,[],[f1506,f1566]) ).
fof(f3253,plain,
( ~ spl72_150
| ~ spl72_157 ),
inference(avatar_contradiction_clause,[],[f3252]) ).
fof(f3252,plain,
( $false
| ~ spl72_150
| ~ spl72_157 ),
inference(subsumption_resolution,[],[f3251,f235]) ).
fof(f3251,plain,
( e21 = e22
| ~ spl72_150
| ~ spl72_157 ),
inference(forward_demodulation,[],[f1527,f1557]) ).
fof(f1557,plain,
( e21 = op2(e22,e23)
| ~ spl72_157 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1555,plain,
( spl72_157
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_157])]) ).
fof(f3208,plain,
( ~ spl72_176
| ~ spl72_181 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3207,plain,
( $false
| ~ spl72_176
| ~ spl72_181 ),
inference(subsumption_resolution,[],[f3206,f235]) ).
fof(f3206,plain,
( e21 = e22
| ~ spl72_176
| ~ spl72_181 ),
inference(forward_demodulation,[],[f1639,f1661]) ).
fof(f1639,plain,
( e22 = op2(e22,e22)
| ~ spl72_176 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1637,plain,
( spl72_176
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_176])]) ).
fof(f3205,plain,
( ~ spl72_195
| ~ spl72_198 ),
inference(avatar_contradiction_clause,[],[f3204]) ).
fof(f3204,plain,
( $false
| ~ spl72_195
| ~ spl72_198 ),
inference(subsumption_resolution,[],[f3200,f232]) ).
fof(f3200,plain,
( e20 = e21
| ~ spl72_195
| ~ spl72_198 ),
inference(superposition,[],[f1725,f1739]) ).
fof(f3197,plain,
( ~ spl72_194
| ~ spl72_197 ),
inference(avatar_contradiction_clause,[],[f3196]) ).
fof(f3196,plain,
( $false
| ~ spl72_194
| ~ spl72_197 ),
inference(subsumption_resolution,[],[f3192,f235]) ).
fof(f3192,plain,
( e21 = e22
| ~ spl72_194
| ~ spl72_197 ),
inference(superposition,[],[f1720,f1734]) ).
fof(f1720,plain,
( e22 = op2(e21,e20)
| ~ spl72_194 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f3165,plain,
( ~ spl72_154
| ~ spl72_168 ),
inference(avatar_contradiction_clause,[],[f3164]) ).
fof(f3164,plain,
( $false
| ~ spl72_154
| ~ spl72_168 ),
inference(subsumption_resolution,[],[f3160,f233]) ).
fof(f3160,plain,
( e20 = e22
| ~ spl72_154
| ~ spl72_168 ),
inference(superposition,[],[f1544,f1604]) ).
fof(f1544,plain,
( e22 = op2(e23,e22)
| ~ spl72_154 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f1542,plain,
( spl72_154
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_154])]) ).
fof(f3156,plain,
( ~ spl72_192
| ~ spl72_195 ),
inference(avatar_contradiction_clause,[],[f3155]) ).
fof(f3155,plain,
( $false
| ~ spl72_192
| ~ spl72_195 ),
inference(subsumption_resolution,[],[f3151,f235]) ).
fof(f3151,plain,
( e21 = e22
| ~ spl72_192
| ~ spl72_195 ),
inference(superposition,[],[f1711,f1725]) ).
fof(f3143,plain,
( ~ spl72_169
| ~ spl72_184 ),
inference(avatar_contradiction_clause,[],[f3142]) ).
fof(f3142,plain,
( $false
| ~ spl72_169
| ~ spl72_184 ),
inference(subsumption_resolution,[],[f3139,f234]) ).
fof(f3139,plain,
( e20 = e23
| ~ spl72_169
| ~ spl72_184 ),
inference(superposition,[],[f1609,f1675]) ).
fof(f3123,plain,
( ~ spl72_154
| ~ spl72_161 ),
inference(avatar_contradiction_clause,[],[f3122]) ).
fof(f3122,plain,
( $false
| ~ spl72_154
| ~ spl72_161 ),
inference(subsumption_resolution,[],[f3118,f235]) ).
fof(f3118,plain,
( e21 = e22
| ~ spl72_154
| ~ spl72_161 ),
inference(superposition,[],[f1544,f1574]) ).
fof(f1574,plain,
( e21 = op2(e23,e22)
| ~ spl72_161 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1572,plain,
( spl72_161
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_161])]) ).
fof(f3112,plain,
( ~ spl72_172
| ~ spl72_187 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3111,plain,
( $false
| ~ spl72_172
| ~ spl72_187 ),
inference(subsumption_resolution,[],[f3108,f234]) ).
fof(f3108,plain,
( e20 = e23
| ~ spl72_172
| ~ spl72_187 ),
inference(superposition,[],[f1622,f1688]) ).
fof(f1622,plain,
( e23 = op2(e22,e20)
| ~ spl72_172 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1620,plain,
( spl72_172
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_172])]) ).
fof(f3104,plain,
( ~ spl72_181
| ~ spl72_186 ),
inference(avatar_contradiction_clause,[],[f3103]) ).
fof(f3103,plain,
( $false
| ~ spl72_181
| ~ spl72_186 ),
inference(subsumption_resolution,[],[f3099,f232]) ).
fof(f3099,plain,
( e20 = e21
| ~ spl72_181
| ~ spl72_186 ),
inference(superposition,[],[f1661,f1683]) ).
fof(f1683,plain,
( e20 = op2(e22,e22)
| ~ spl72_186 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1681,plain,
( spl72_186
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_186])]) ).
fof(f3096,plain,
( ~ spl72_170
| ~ spl72_185 ),
inference(avatar_contradiction_clause,[],[f3095]) ).
fof(f3095,plain,
( $false
| ~ spl72_170
| ~ spl72_185 ),
inference(subsumption_resolution,[],[f3092,f234]) ).
fof(f3092,plain,
( e20 = e23
| ~ spl72_170
| ~ spl72_185 ),
inference(superposition,[],[f1613,f1679]) ).
fof(f1679,plain,
( e20 = op2(e21,e22)
| ~ spl72_185 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1677,plain,
( spl72_185
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_185])]) ).
fof(f1613,plain,
( e23 = op2(e21,e22)
| ~ spl72_170 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1611,plain,
( spl72_170
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_170])]) ).
fof(f3079,plain,
( ~ spl72_173
| ~ spl72_178 ),
inference(avatar_contradiction_clause,[],[f3078]) ).
fof(f3078,plain,
( $false
| ~ spl72_173
| ~ spl72_178 ),
inference(subsumption_resolution,[],[f3075,f237]) ).
fof(f3075,plain,
( e22 = e23
| ~ spl72_173
| ~ spl72_178 ),
inference(superposition,[],[f1626,f1648]) ).
fof(f1648,plain,
( e22 = op2(e22,e21)
| ~ spl72_178 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f1646,plain,
( spl72_178
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_178])]) ).
fof(f3068,plain,
( ~ spl72_161
| ~ spl72_168 ),
inference(avatar_contradiction_clause,[],[f3067]) ).
fof(f3067,plain,
( $false
| ~ spl72_161
| ~ spl72_168 ),
inference(subsumption_resolution,[],[f3062,f232]) ).
fof(f3062,plain,
( e20 = e21
| ~ spl72_161
| ~ spl72_168 ),
inference(superposition,[],[f1574,f1604]) ).
fof(f3035,plain,
( ~ spl72_146
| ~ spl72_153 ),
inference(avatar_contradiction_clause,[],[f3034]) ).
fof(f3034,plain,
( $false
| ~ spl72_146
| ~ spl72_153 ),
inference(subsumption_resolution,[],[f3030,f237]) ).
fof(f3030,plain,
( e22 = e23
| ~ spl72_146
| ~ spl72_153 ),
inference(superposition,[],[f1510,f1540]) ).
fof(f1510,plain,
( e23 = op2(e23,e21)
| ~ spl72_146 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1508,plain,
( spl72_146
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_146])]) ).
fof(f3005,plain,
( ~ spl72_170
| ~ spl72_175 ),
inference(avatar_contradiction_clause,[],[f3004]) ).
fof(f3004,plain,
( $false
| ~ spl72_170
| ~ spl72_175 ),
inference(subsumption_resolution,[],[f3001,f237]) ).
fof(f3001,plain,
( e22 = e23
| ~ spl72_170
| ~ spl72_175 ),
inference(superposition,[],[f1613,f1635]) ).
fof(f2996,plain,
( ~ spl72_153
| ~ spl72_167 ),
inference(avatar_contradiction_clause,[],[f2995]) ).
fof(f2995,plain,
( $false
| ~ spl72_153
| ~ spl72_167 ),
inference(subsumption_resolution,[],[f2991,f233]) ).
fof(f2991,plain,
( e20 = e22
| ~ spl72_153
| ~ spl72_167 ),
inference(superposition,[],[f1540,f1600]) ).
fof(f1600,plain,
( e20 = op2(e23,e21)
| ~ spl72_167 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1598,plain,
( spl72_167
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_167])]) ).
fof(f2987,plain,
( ~ spl72_145
| ~ spl72_166 ),
inference(avatar_contradiction_clause,[],[f2986]) ).
fof(f2986,plain,
( $false
| ~ spl72_145
| ~ spl72_166 ),
inference(subsumption_resolution,[],[f2983,f234]) ).
fof(f2983,plain,
( e20 = e23
| ~ spl72_145
| ~ spl72_166 ),
inference(superposition,[],[f1506,f1596]) ).
fof(f2974,plain,
( ~ spl72_157
| ~ spl72_164 ),
inference(avatar_contradiction_clause,[],[f2973]) ).
fof(f2973,plain,
( $false
| ~ spl72_157
| ~ spl72_164 ),
inference(subsumption_resolution,[],[f2968,f232]) ).
fof(f2968,plain,
( e20 = e21
| ~ spl72_157
| ~ spl72_164 ),
inference(superposition,[],[f1557,f1587]) ).
fof(f2952,plain,
( ~ spl72_141
| ~ spl72_148 ),
inference(avatar_contradiction_clause,[],[f2951]) ).
fof(f2951,plain,
( $false
| ~ spl72_141
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f2950,f237]) ).
fof(f2950,plain,
( e22 = e23
| ~ spl72_141
| ~ spl72_148 ),
inference(forward_demodulation,[],[f1489,f1519]) ).
fof(f2948,plain,
( ~ spl72_171
| ~ spl72_181 ),
inference(avatar_contradiction_clause,[],[f2947]) ).
fof(f2947,plain,
( $false
| ~ spl72_171
| ~ spl72_181 ),
inference(subsumption_resolution,[],[f2946,f236]) ).
fof(f2946,plain,
( e21 = e23
| ~ spl72_171
| ~ spl72_181 ),
inference(forward_demodulation,[],[f1617,f1661]) ).
fof(f1617,plain,
( e23 = op2(e22,e22)
| ~ spl72_171 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1615,plain,
( spl72_171
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_171])]) ).
fof(f2933,plain,
( ~ spl72_152
| ~ spl72_159 ),
inference(avatar_contradiction_clause,[],[f2932]) ).
fof(f2932,plain,
( $false
| ~ spl72_152
| ~ spl72_159 ),
inference(subsumption_resolution,[],[f2929,f235]) ).
fof(f2929,plain,
( e21 = e22
| ~ spl72_152
| ~ spl72_159 ),
inference(superposition,[],[f1536,f1566]) ).
fof(f1536,plain,
( e22 = op2(e23,e20)
| ~ spl72_152 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f1534,plain,
( spl72_152
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_152])]) ).
fof(f2919,plain,
( ~ spl72_148
| ~ spl72_155 ),
inference(avatar_contradiction_clause,[],[f2918]) ).
fof(f2918,plain,
( $false
| ~ spl72_148
| ~ spl72_155 ),
inference(subsumption_resolution,[],[f2917,f235]) ).
fof(f2917,plain,
( e21 = e22
| ~ spl72_148
| ~ spl72_155 ),
inference(forward_demodulation,[],[f1519,f1549]) ).
fof(f1549,plain,
( e21 = op2(e20,e23)
| ~ spl72_155 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1547,plain,
( spl72_155
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_155])]) ).
fof(f2916,plain,
( ~ spl72_180
| ~ spl72_185 ),
inference(avatar_contradiction_clause,[],[f2915]) ).
fof(f2915,plain,
( $false
| ~ spl72_180
| ~ spl72_185 ),
inference(subsumption_resolution,[],[f2911,f232]) ).
fof(f2911,plain,
( e20 = e21
| ~ spl72_180
| ~ spl72_185 ),
inference(superposition,[],[f1657,f1679]) ).
fof(f1657,plain,
( e21 = op2(e21,e22)
| ~ spl72_180 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1655,plain,
( spl72_180
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_180])]) ).
fof(f2907,plain,
( ~ spl72_170
| ~ spl72_180 ),
inference(avatar_contradiction_clause,[],[f2906]) ).
fof(f2906,plain,
( $false
| ~ spl72_170
| ~ spl72_180 ),
inference(subsumption_resolution,[],[f2903,f236]) ).
fof(f2903,plain,
( e21 = e23
| ~ spl72_170
| ~ spl72_180 ),
inference(superposition,[],[f1613,f1657]) ).
fof(f2896,plain,
( ~ spl72_172
| ~ spl72_177 ),
inference(avatar_contradiction_clause,[],[f2895]) ).
fof(f2895,plain,
( $false
| ~ spl72_172
| ~ spl72_177 ),
inference(subsumption_resolution,[],[f2894,f237]) ).
fof(f2894,plain,
( e22 = e23
| ~ spl72_172
| ~ spl72_177 ),
inference(forward_demodulation,[],[f1622,f1644]) ).
fof(f2887,plain,
( ~ spl72_142
| ~ spl72_149 ),
inference(avatar_contradiction_clause,[],[f2886]) ).
fof(f2886,plain,
( $false
| ~ spl72_142
| ~ spl72_149 ),
inference(subsumption_resolution,[],[f2885,f237]) ).
fof(f2885,plain,
( e22 = e23
| ~ spl72_142
| ~ spl72_149 ),
inference(forward_demodulation,[],[f1493,f1523]) ).
fof(f1523,plain,
( e22 = op2(e21,e23)
| ~ spl72_149 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f1521,plain,
( spl72_149
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_149])]) ).
fof(f2884,plain,
( ~ spl72_145
| ~ spl72_152 ),
inference(avatar_contradiction_clause,[],[f2883]) ).
fof(f2883,plain,
( $false
| ~ spl72_145
| ~ spl72_152 ),
inference(subsumption_resolution,[],[f2882,f237]) ).
fof(f2882,plain,
( e22 = e23
| ~ spl72_145
| ~ spl72_152 ),
inference(forward_demodulation,[],[f1506,f1536]) ).
fof(f2879,plain,
( ~ spl72_197
| ~ spl72_200 ),
inference(avatar_contradiction_clause,[],[f2878]) ).
fof(f2878,plain,
( $false
| ~ spl72_197
| ~ spl72_200 ),
inference(subsumption_resolution,[],[f2875,f232]) ).
fof(f2875,plain,
( e20 = e21
| ~ spl72_197
| ~ spl72_200 ),
inference(superposition,[],[f1734,f1748]) ).
fof(f1748,plain,
( e20 = op2(e21,e20)
| ~ spl72_200 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1746,plain,
( spl72_200
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_200])]) ).
fof(f2872,plain,
( ~ spl72_190
| ~ spl72_199 ),
inference(avatar_contradiction_clause,[],[f2871]) ).
fof(f2871,plain,
( $false
| ~ spl72_190
| ~ spl72_199 ),
inference(subsumption_resolution,[],[f2868,f234]) ).
fof(f2868,plain,
( e20 = e23
| ~ spl72_190
| ~ spl72_199 ),
inference(superposition,[],[f1701,f1743]) ).
fof(f1701,plain,
( e23 = op2(e21,e21)
| ~ spl72_190 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f1699,plain,
( spl72_190
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_190])]) ).
fof(f2863,plain,
( ~ spl72_191
| ~ spl72_197 ),
inference(avatar_contradiction_clause,[],[f2862]) ).
fof(f2862,plain,
( $false
| ~ spl72_191
| ~ spl72_197 ),
inference(subsumption_resolution,[],[f2859,f236]) ).
fof(f2859,plain,
( e21 = e23
| ~ spl72_191
| ~ spl72_197 ),
inference(superposition,[],[f1706,f1734]) ).
fof(f2845,plain,
( ~ spl72_177
| ~ spl72_187 ),
inference(avatar_contradiction_clause,[],[f2844]) ).
fof(f2844,plain,
( $false
| ~ spl72_177
| ~ spl72_187 ),
inference(subsumption_resolution,[],[f2841,f233]) ).
fof(f2841,plain,
( e20 = e22
| ~ spl72_177
| ~ spl72_187 ),
inference(superposition,[],[f1644,f1688]) ).
fof(f2836,plain,
( ~ spl72_141
| ~ spl72_155 ),
inference(avatar_contradiction_clause,[],[f2835]) ).
fof(f2835,plain,
( $false
| ~ spl72_141
| ~ spl72_155 ),
inference(subsumption_resolution,[],[f2834,f236]) ).
fof(f2834,plain,
( e21 = e23
| ~ spl72_141
| ~ spl72_155 ),
inference(forward_demodulation,[],[f1489,f1549]) ).
fof(f2833,plain,
( ~ spl72_146
| ~ spl72_160 ),
inference(avatar_contradiction_clause,[],[f2832]) ).
fof(f2832,plain,
( $false
| ~ spl72_146
| ~ spl72_160 ),
inference(subsumption_resolution,[],[f2831,f236]) ).
fof(f2831,plain,
( e21 = e23
| ~ spl72_146
| ~ spl72_160 ),
inference(forward_demodulation,[],[f1510,f1570]) ).
fof(f1570,plain,
( e21 = op2(e23,e21)
| ~ spl72_160 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1568,plain,
( spl72_160
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_160])]) ).
fof(f2822,plain,
( ~ spl72_173
| ~ spl72_188 ),
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2821,plain,
( $false
| ~ spl72_173
| ~ spl72_188 ),
inference(subsumption_resolution,[],[f2818,f234]) ).
fof(f2818,plain,
( e20 = e23
| ~ spl72_173
| ~ spl72_188 ),
inference(superposition,[],[f1626,f1692]) ).
fof(f1692,plain,
( e20 = op2(e22,e21)
| ~ spl72_188 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f1690,plain,
( spl72_188
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_188])]) ).
fof(f2813,plain,
( ~ spl72_175
| ~ spl72_185 ),
inference(avatar_contradiction_clause,[],[f2812]) ).
fof(f2812,plain,
( $false
| ~ spl72_175
| ~ spl72_185 ),
inference(subsumption_resolution,[],[f2809,f233]) ).
fof(f2809,plain,
( e20 = e22
| ~ spl72_175
| ~ spl72_185 ),
inference(superposition,[],[f1635,f1679]) ).
fof(f2803,plain,
( ~ spl72_174
| ~ spl72_184 ),
inference(avatar_contradiction_clause,[],[f2802]) ).
fof(f2802,plain,
( $false
| ~ spl72_174
| ~ spl72_184 ),
inference(subsumption_resolution,[],[f2799,f233]) ).
fof(f2799,plain,
( e20 = e22
| ~ spl72_174
| ~ spl72_184 ),
inference(superposition,[],[f1631,f1675]) ).
fof(f1631,plain,
( e22 = op2(e20,e22)
| ~ spl72_174 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f1629,plain,
( spl72_174
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_174])]) ).
fof(f2794,plain,
( ~ spl72_169
| ~ spl72_174 ),
inference(avatar_contradiction_clause,[],[f2793]) ).
fof(f2793,plain,
( $false
| ~ spl72_169
| ~ spl72_174 ),
inference(subsumption_resolution,[],[f2790,f237]) ).
fof(f2790,plain,
( e22 = e23
| ~ spl72_169
| ~ spl72_174 ),
inference(superposition,[],[f1609,f1631]) ).
fof(f2787,plain,
( ~ spl72_175
| ~ spl72_180 ),
inference(avatar_contradiction_clause,[],[f2786]) ).
fof(f2786,plain,
( $false
| ~ spl72_175
| ~ spl72_180 ),
inference(subsumption_resolution,[],[f2783,f235]) ).
fof(f2783,plain,
( e21 = e22
| ~ spl72_175
| ~ spl72_180 ),
inference(superposition,[],[f1635,f1657]) ).
fof(f2779,plain,
( ~ spl72_147
| ~ spl72_168 ),
inference(avatar_contradiction_clause,[],[f2778]) ).
fof(f2778,plain,
( $false
| ~ spl72_147
| ~ spl72_168 ),
inference(subsumption_resolution,[],[f2775,f234]) ).
fof(f2775,plain,
( e20 = e23
| ~ spl72_147
| ~ spl72_168 ),
inference(superposition,[],[f1514,f1604]) ).
fof(f2770,plain,
( ~ spl72_160
| ~ spl72_167 ),
inference(avatar_contradiction_clause,[],[f2769]) ).
fof(f2769,plain,
( $false
| ~ spl72_160
| ~ spl72_167 ),
inference(subsumption_resolution,[],[f2765,f232]) ).
fof(f2765,plain,
( e20 = e21
| ~ spl72_160
| ~ spl72_167 ),
inference(superposition,[],[f1570,f1600]) ).
fof(f2759,plain,
( ~ spl72_147
| ~ spl72_161 ),
inference(avatar_contradiction_clause,[],[f2758]) ).
fof(f2758,plain,
( $false
| ~ spl72_147
| ~ spl72_161 ),
inference(subsumption_resolution,[],[f2755,f236]) ).
fof(f2755,plain,
( e21 = e23
| ~ spl72_147
| ~ spl72_161 ),
inference(superposition,[],[f1514,f1574]) ).
fof(f2749,plain,
( ~ spl72_159
| ~ spl72_166 ),
inference(avatar_contradiction_clause,[],[f2748]) ).
fof(f2748,plain,
( $false
| ~ spl72_159
| ~ spl72_166 ),
inference(subsumption_resolution,[],[f2747,f232]) ).
fof(f2747,plain,
( e20 = e21
| ~ spl72_159
| ~ spl72_166 ),
inference(forward_demodulation,[],[f1566,f1596]) ).
fof(f2746,plain,
( ~ spl72_152
| ~ spl72_166 ),
inference(avatar_contradiction_clause,[],[f2745]) ).
fof(f2745,plain,
( $false
| ~ spl72_152
| ~ spl72_166 ),
inference(subsumption_resolution,[],[f2742,f233]) ).
fof(f2742,plain,
( e20 = e22
| ~ spl72_152
| ~ spl72_166 ),
inference(superposition,[],[f1536,f1596]) ).
fof(f2739,plain,
( ~ spl72_144
| ~ spl72_165 ),
inference(avatar_contradiction_clause,[],[f2738]) ).
fof(f2738,plain,
( $false
| ~ spl72_144
| ~ spl72_165 ),
inference(subsumption_resolution,[],[f2735,f234]) ).
fof(f2735,plain,
( e20 = e23
| ~ spl72_144
| ~ spl72_165 ),
inference(superposition,[],[f1501,f1591]) ).
fof(f1501,plain,
( e23 = op2(e23,e23)
| ~ spl72_144 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1499,plain,
( spl72_144
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_144])]) ).
fof(f2730,plain,
( ~ spl72_143
| ~ spl72_164 ),
inference(avatar_contradiction_clause,[],[f2729]) ).
fof(f2729,plain,
( $false
| ~ spl72_143
| ~ spl72_164 ),
inference(subsumption_resolution,[],[f2726,f234]) ).
fof(f2726,plain,
( e20 = e23
| ~ spl72_143
| ~ spl72_164 ),
inference(superposition,[],[f1497,f1587]) ).
fof(f2712,plain,
( ~ spl72_144
| ~ spl72_158 ),
inference(avatar_contradiction_clause,[],[f2711]) ).
fof(f2711,plain,
( $false
| ~ spl72_144
| ~ spl72_158 ),
inference(subsumption_resolution,[],[f2708,f236]) ).
fof(f2708,plain,
( e21 = e23
| ~ spl72_144
| ~ spl72_158 ),
inference(superposition,[],[f1501,f1561]) ).
fof(f2703,plain,
( ~ spl72_148
| ~ spl72_162 ),
inference(avatar_contradiction_clause,[],[f2702]) ).
fof(f2702,plain,
( $false
| ~ spl72_148
| ~ spl72_162 ),
inference(subsumption_resolution,[],[f2701,f233]) ).
fof(f2701,plain,
( e20 = e22
| ~ spl72_148
| ~ spl72_162 ),
inference(forward_demodulation,[],[f1519,f1579]) ).
fof(f2699,plain,
( ~ spl72_155
| ~ spl72_162 ),
inference(avatar_contradiction_clause,[],[f2698]) ).
fof(f2698,plain,
( $false
| ~ spl72_155
| ~ spl72_162 ),
inference(subsumption_resolution,[],[f2695,f232]) ).
fof(f2695,plain,
( e20 = e21
| ~ spl72_155
| ~ spl72_162 ),
inference(superposition,[],[f1549,f1579]) ).
fof(f2692,plain,
( ~ spl72_144
| ~ spl72_151 ),
inference(avatar_contradiction_clause,[],[f2691]) ).
fof(f2691,plain,
( $false
| ~ spl72_144
| ~ spl72_151 ),
inference(subsumption_resolution,[],[f2688,f237]) ).
fof(f2688,plain,
( e22 = e23
| ~ spl72_144
| ~ spl72_151 ),
inference(superposition,[],[f1501,f1531]) ).
fof(f2684,plain,
( ~ spl72_153
| ~ spl72_160 ),
inference(avatar_contradiction_clause,[],[f2683]) ).
fof(f2683,plain,
( $false
| ~ spl72_153
| ~ spl72_160 ),
inference(subsumption_resolution,[],[f2680,f235]) ).
fof(f2680,plain,
( e21 = e22
| ~ spl72_153
| ~ spl72_160 ),
inference(superposition,[],[f1540,f1570]) ).
fof(f2669,plain,
( ~ spl72_149
| ~ spl72_156 ),
inference(avatar_contradiction_clause,[],[f2668]) ).
fof(f2668,plain,
( $false
| ~ spl72_149
| ~ spl72_156 ),
inference(subsumption_resolution,[],[f2665,f235]) ).
fof(f2665,plain,
( e21 = e22
| ~ spl72_149
| ~ spl72_156 ),
inference(superposition,[],[f1523,f1553]) ).
fof(f2662,plain,
( ~ spl72_147
| ~ spl72_154 ),
inference(avatar_contradiction_clause,[],[f2661]) ).
fof(f2661,plain,
( $false
| ~ spl72_147
| ~ spl72_154 ),
inference(subsumption_resolution,[],[f2658,f237]) ).
fof(f2658,plain,
( e22 = e23
| ~ spl72_147
| ~ spl72_154 ),
inference(superposition,[],[f1514,f1544]) ).
fof(f2655,plain,
spl72_245,
inference(avatar_split_clause,[],[f376,f1963]) ).
fof(f376,plain,
e11 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f2654,plain,
spl72_181,
inference(avatar_split_clause,[],[f373,f1659]) ).
fof(f373,plain,
e21 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f2653,plain,
( spl72_328
| spl72_327
| spl72_326
| spl72_325
| spl72_324
| spl72_323
| spl72_322
| spl72_321
| spl72_320
| spl72_319
| spl72_318
| spl72_317
| spl72_316
| spl72_315
| spl72_314
| spl72_208 ),
inference(avatar_split_clause,[],[f815,f1803,f2525,f2533,f2541,f2549,f2557,f2565,f2573,f2581,f2589,f2597,f2605,f2613,f2621,f2629,f2637]) ).
fof(f2637,plain,
( spl72_328
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_328])]) ).
fof(f2629,plain,
( spl72_327
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_327])]) ).
fof(f2621,plain,
( spl72_326
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_326])]) ).
fof(f2613,plain,
( spl72_325
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_325])]) ).
fof(f2605,plain,
( spl72_324
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_324])]) ).
fof(f2597,plain,
( spl72_323
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_323])]) ).
fof(f2589,plain,
( spl72_322
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_322])]) ).
fof(f2581,plain,
( spl72_321
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_321])]) ).
fof(f2573,plain,
( spl72_320
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_320])]) ).
fof(f2565,plain,
( spl72_319
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_319])]) ).
fof(f2557,plain,
( spl72_318
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_318])]) ).
fof(f2549,plain,
( spl72_317
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_317])]) ).
fof(f2541,plain,
( spl72_316
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_316])]) ).
fof(f2533,plain,
( spl72_315
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_315])]) ).
fof(f2525,plain,
( spl72_314
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_314])]) ).
fof(f815,plain,
( e13 = op1(e13,e13)
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57 )
& ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42 ) ),
inference(definition_folding,[],[f10,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65]) ).
fof(f65,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f66,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& op1(e10,e10) = e11 )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f67,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& op1(e10,e10) = e12 )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f68,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& op1(e10,e10) = e13 )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f69,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e11,e11) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f70,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f71,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e11,e11) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f72,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e11,e11) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f73,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e12,e12) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f74,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e12,e12) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f75,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f76,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e12,e12) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f77,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e13,e13) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f78,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e13,e13) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f79,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e13,e13) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f80,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f81,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f82,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f83,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f84,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f85,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f86,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f87,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f88,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f89,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f90,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f91,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f92,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f93,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f94,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f10,axiom,
( ( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) ) )
& ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e13,e13) )
| ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e13,e13) )
| ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e13,e13) )
| ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e12,e12) )
| ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e12,e12) )
| ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e12,e12) )
| ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e11,e11) )
| ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e11,e11) )
| ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e11,e11) )
| ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& op1(e10,e10) = e13 )
| ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& op1(e10,e10) = e12 )
| ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& op1(e10,e10) = e11 )
| ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2652,plain,
( spl72_328
| spl72_327
| spl72_326
| spl72_325
| spl72_324
| spl72_323
| spl72_322
| spl72_321
| spl72_320
| spl72_319
| spl72_318
| spl72_317
| spl72_316
| spl72_315
| spl72_314
| ~ spl72_265
| spl72_226 ),
inference(avatar_split_clause,[],[f816,f1881,f2055,f2525,f2533,f2541,f2549,f2557,f2565,f2573,f2581,f2589,f2597,f2605,f2613,f2621,f2629,f2637]) ).
fof(f816,plain,
( e10 = op1(e10,e13)
| op1(e10,e10) != e13
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2649,plain,
( spl72_313
| spl72_312
| spl72_311
| spl72_310
| spl72_309
| spl72_308
| spl72_307
| spl72_306
| spl72_305
| spl72_304
| spl72_303
| spl72_302
| spl72_301
| spl72_300
| spl72_299
| spl72_208 ),
inference(avatar_split_clause,[],[f820,f1803,f2375,f2385,f2395,f2405,f2415,f2425,f2435,f2445,f2455,f2465,f2475,f2485,f2495,f2505,f2515]) ).
fof(f2515,plain,
( spl72_313
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_313])]) ).
fof(f2505,plain,
( spl72_312
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_312])]) ).
fof(f2495,plain,
( spl72_311
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_311])]) ).
fof(f2485,plain,
( spl72_310
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_310])]) ).
fof(f2475,plain,
( spl72_309
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_309])]) ).
fof(f2465,plain,
( spl72_308
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_308])]) ).
fof(f2455,plain,
( spl72_307
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_307])]) ).
fof(f2445,plain,
( spl72_306
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_306])]) ).
fof(f2435,plain,
( spl72_305
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_305])]) ).
fof(f2425,plain,
( spl72_304
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_304])]) ).
fof(f2415,plain,
( spl72_303
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_303])]) ).
fof(f2405,plain,
( spl72_302
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_302])]) ).
fof(f2395,plain,
( spl72_301
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_301])]) ).
fof(f2385,plain,
( spl72_300
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_300])]) ).
fof(f2375,plain,
( spl72_299
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_299])]) ).
fof(f820,plain,
( e13 = op1(e13,e13)
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2644,plain,
( spl72_313
| spl72_312
| spl72_311
| spl72_310
| spl72_309
| spl72_308
| spl72_307
| spl72_306
| spl72_305
| spl72_304
| spl72_303
| spl72_302
| spl72_301
| spl72_300
| spl72_299
| ~ spl72_208 ),
inference(avatar_split_clause,[],[f826,f1803,f2375,f2385,f2395,f2405,f2415,f2425,f2435,f2445,f2455,f2465,f2475,f2485,f2495,f2505,f2515]) ).
fof(f826,plain,
( e13 != op1(e13,e13)
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57 ),
inference(duplicate_literal_removal,[],[f825]) ).
fof(f825,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2643,plain,
( ~ spl72_328
| spl72_268 ),
inference(avatar_split_clause,[],[f810,f2073,f2637]) ).
fof(f810,plain,
( e10 = op1(e10,e10)
| ~ sP42 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) )
| ~ sP42 ),
inference(nnf_transformation,[],[f65]) ).
fof(f2642,plain,
( ~ spl72_328
| ~ spl72_263
| spl72_261 ),
inference(avatar_split_clause,[],[f812,f2036,f2045,f2637]) ).
fof(f812,plain,
( e11 = op1(e11,e10)
| e10 != op1(e11,e11)
| ~ sP42 ),
inference(cnf_transformation,[],[f167]) ).
fof(f2633,plain,
( ~ spl72_327
| ~ spl72_245
| spl72_242 ),
inference(avatar_split_clause,[],[f808,f1950,f1963,f2629]) ).
fof(f808,plain,
( e12 = op1(e12,e11)
| e11 != op1(e12,e12)
| ~ sP43 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& op1(e10,e10) = e11 )
| ~ sP43 ),
inference(nnf_transformation,[],[f66]) ).
fof(f2627,plain,
( ~ spl72_326
| spl72_266 ),
inference(avatar_split_clause,[],[f800,f2061,f2621]) ).
fof(f800,plain,
( op1(e10,e10) = e12
| ~ sP44 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& op1(e10,e10) = e12 )
| ~ sP44 ),
inference(nnf_transformation,[],[f67]) ).
fof(f2619,plain,
( ~ spl72_325
| spl72_265 ),
inference(avatar_split_clause,[],[f795,f2055,f2613]) ).
fof(f795,plain,
( op1(e10,e10) = e13
| ~ sP45 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& op1(e10,e10) = e13 )
| ~ sP45 ),
inference(nnf_transformation,[],[f68]) ).
fof(f2618,plain,
( ~ spl72_325
| ~ spl72_265
| spl72_226 ),
inference(avatar_split_clause,[],[f796,f1881,f2055,f2613]) ).
fof(f796,plain,
( e10 = op1(e10,e13)
| op1(e10,e10) != e13
| ~ sP45 ),
inference(cnf_transformation,[],[f164]) ).
fof(f2610,plain,
( ~ spl72_324
| ~ spl72_263
| spl72_261 ),
inference(avatar_split_clause,[],[f792,f2036,f2045,f2605]) ).
fof(f792,plain,
( e11 = op1(e11,e10)
| e10 != op1(e11,e11)
| ~ sP46 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e11,e11) )
| ~ sP46 ),
inference(nnf_transformation,[],[f69]) ).
fof(f2608,plain,
( ~ spl72_324
| ~ spl72_229
| spl72_209 ),
inference(avatar_split_clause,[],[f794,f1808,f1893,f2605]) ).
fof(f794,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP46 ),
inference(cnf_transformation,[],[f163]) ).
fof(f2603,plain,
( ~ spl72_323
| spl72_260 ),
inference(avatar_split_clause,[],[f785,f2031,f2597]) ).
fof(f785,plain,
( e11 = op1(e11,e11)
| ~ sP47 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ~ sP47 ),
inference(nnf_transformation,[],[f70]) ).
fof(f2595,plain,
( ~ spl72_322
| spl72_257 ),
inference(avatar_split_clause,[],[f780,f2017,f2589]) ).
fof(f780,plain,
( e12 = op1(e11,e11)
| ~ sP48 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e11,e11) )
| ~ sP48 ),
inference(nnf_transformation,[],[f71]) ).
fof(f2587,plain,
( ~ spl72_321
| spl72_254 ),
inference(avatar_split_clause,[],[f775,f2003,f2581]) ).
fof(f775,plain,
( e13 = op1(e11,e11)
| ~ sP49 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e11,e11) )
| ~ sP49 ),
inference(nnf_transformation,[],[f72]) ).
fof(f2579,plain,
( ~ spl72_320
| spl72_250 ),
inference(avatar_split_clause,[],[f770,f1985,f2573]) ).
fof(f770,plain,
( e10 = op1(e12,e12)
| ~ sP50 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e12,e12) )
| ~ sP50 ),
inference(nnf_transformation,[],[f73]) ).
fof(f2569,plain,
( ~ spl72_319
| ~ spl72_245
| spl72_242 ),
inference(avatar_split_clause,[],[f768,f1950,f1963,f2565]) ).
fof(f768,plain,
( e12 = op1(e12,e11)
| e11 != op1(e12,e12)
| ~ sP51 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e12,e12) )
| ~ sP51 ),
inference(nnf_transformation,[],[f74]) ).
fof(f2563,plain,
( ~ spl72_318
| spl72_240 ),
inference(avatar_split_clause,[],[f760,f1941,f2557]) ).
fof(f760,plain,
( e12 = op1(e12,e12)
| ~ sP52 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ~ sP52 ),
inference(nnf_transformation,[],[f75]) ).
fof(f2555,plain,
( ~ spl72_317
| spl72_235 ),
inference(avatar_split_clause,[],[f755,f1919,f2549]) ).
fof(f755,plain,
( e13 = op1(e12,e12)
| ~ sP53 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e12,e12) )
| ~ sP53 ),
inference(nnf_transformation,[],[f76]) ).
fof(f2546,plain,
( ~ spl72_316
| ~ spl72_263
| spl72_261 ),
inference(avatar_split_clause,[],[f752,f2036,f2045,f2541]) ).
fof(f752,plain,
( e11 = op1(e11,e10)
| e10 != op1(e11,e11)
| ~ sP54 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e13,e13) )
| ~ sP54 ),
inference(nnf_transformation,[],[f77]) ).
fof(f2544,plain,
( ~ spl72_316
| ~ spl72_229
| spl72_209 ),
inference(avatar_split_clause,[],[f754,f1808,f1893,f2541]) ).
fof(f754,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP54 ),
inference(cnf_transformation,[],[f155]) ).
fof(f2537,plain,
( ~ spl72_315
| ~ spl72_245
| spl72_242 ),
inference(avatar_split_clause,[],[f748,f1950,f1963,f2533]) ).
fof(f748,plain,
( e12 = op1(e12,e11)
| e11 != op1(e12,e12)
| ~ sP55 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e13,e13) )
| ~ sP55 ),
inference(nnf_transformation,[],[f78]) ).
fof(f2531,plain,
( ~ spl72_314
| spl72_215 ),
inference(avatar_split_clause,[],[f740,f1833,f2525]) ).
fof(f740,plain,
( e12 = op1(e13,e13)
| ~ sP56 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e13,e13) )
| ~ sP56 ),
inference(nnf_transformation,[],[f79]) ).
fof(f2528,plain,
( ~ spl72_314
| ~ spl72_215
| spl72_211 ),
inference(avatar_split_clause,[],[f744,f1816,f1833,f2525]) ).
fof(f744,plain,
( e13 = op1(e13,e12)
| e12 != op1(e13,e13)
| ~ sP56 ),
inference(cnf_transformation,[],[f153]) ).
fof(f2523,plain,
( ~ spl72_313
| spl72_268 ),
inference(avatar_split_clause,[],[f734,f2073,f2515]) ).
fof(f734,plain,
( e10 = op1(e10,e10)
| ~ sP57 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP57 ),
inference(nnf_transformation,[],[f80]) ).
fof(f2521,plain,
( ~ spl72_313
| ~ spl72_268 ),
inference(avatar_split_clause,[],[f827,f2073,f2515]) ).
fof(f827,plain,
( e10 != op1(e10,e10)
| ~ sP57 ),
inference(duplicate_literal_removal,[],[f736]) ).
fof(f736,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10)
| ~ sP57 ),
inference(cnf_transformation,[],[f152]) ).
fof(f2513,plain,
( ~ spl72_312
| spl72_262 ),
inference(avatar_split_clause,[],[f728,f2041,f2505]) ).
fof(f728,plain,
( e10 = op1(e10,e11)
| ~ sP58 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP58 ),
inference(nnf_transformation,[],[f81]) ).
fof(f2503,plain,
( ~ spl72_311
| spl72_248 ),
inference(avatar_split_clause,[],[f722,f1977,f2495]) ).
fof(f722,plain,
( e10 = op1(e10,e12)
| ~ sP59 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP59 ),
inference(nnf_transformation,[],[f82]) ).
fof(f2502,plain,
( ~ spl72_311
| spl72_251 ),
inference(avatar_split_clause,[],[f723,f1990,f2495]) ).
fof(f723,plain,
( e10 = op1(e12,e10)
| ~ sP59 ),
inference(cnf_transformation,[],[f150]) ).
fof(f2493,plain,
( ~ spl72_310
| spl72_226 ),
inference(avatar_split_clause,[],[f716,f1881,f2485]) ).
fof(f716,plain,
( e10 = op1(e10,e13)
| ~ sP60 ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP60 ),
inference(nnf_transformation,[],[f83]) ).
fof(f2492,plain,
( ~ spl72_310
| spl72_230 ),
inference(avatar_split_clause,[],[f717,f1898,f2485]) ).
fof(f717,plain,
( e10 = op1(e13,e10)
| ~ sP60 ),
inference(cnf_transformation,[],[f149]) ).
fof(f2488,plain,
( ~ spl72_310
| ~ spl72_208 ),
inference(avatar_split_clause,[],[f830,f1803,f2485]) ).
fof(f830,plain,
( e13 != op1(e13,e13)
| ~ sP60 ),
inference(duplicate_literal_removal,[],[f721]) ).
fof(f721,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| ~ sP60 ),
inference(cnf_transformation,[],[f149]) ).
fof(f2483,plain,
( ~ spl72_309
| spl72_261 ),
inference(avatar_split_clause,[],[f710,f2036,f2475]) ).
fof(f710,plain,
( e11 = op1(e11,e10)
| ~ sP61 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP61 ),
inference(nnf_transformation,[],[f84]) ).
fof(f2482,plain,
( ~ spl72_309
| spl72_259 ),
inference(avatar_split_clause,[],[f711,f2027,f2475]) ).
fof(f711,plain,
( e11 = op1(e10,e11)
| ~ sP61 ),
inference(cnf_transformation,[],[f148]) ).
fof(f2481,plain,
( ~ spl72_309
| ~ spl72_268 ),
inference(avatar_split_clause,[],[f831,f2073,f2475]) ).
fof(f831,plain,
( e10 != op1(e10,e10)
| ~ sP61 ),
inference(duplicate_literal_removal,[],[f712]) ).
fof(f712,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10)
| ~ sP61 ),
inference(cnf_transformation,[],[f148]) ).
fof(f2473,plain,
( ~ spl72_308
| spl72_260 ),
inference(avatar_split_clause,[],[f704,f2031,f2465]) ).
fof(f704,plain,
( e11 = op1(e11,e11)
| ~ sP62 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP62 ),
inference(nnf_transformation,[],[f85]) ).
fof(f2462,plain,
( ~ spl72_307
| spl72_247 ),
inference(avatar_split_clause,[],[f699,f1972,f2455]) ).
fof(f699,plain,
( e11 = op1(e12,e11)
| ~ sP63 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP63 ),
inference(nnf_transformation,[],[f86]) ).
fof(f2453,plain,
( ~ spl72_306
| spl72_220 ),
inference(avatar_split_clause,[],[f692,f1855,f2445]) ).
fof(f692,plain,
( e11 = op1(e11,e13)
| ~ sP64 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP64 ),
inference(nnf_transformation,[],[f87]) ).
fof(f2452,plain,
( ~ spl72_306
| spl72_224 ),
inference(avatar_split_clause,[],[f693,f1872,f2445]) ).
fof(f693,plain,
( e11 = op1(e13,e11)
| ~ sP64 ),
inference(cnf_transformation,[],[f145]) ).
fof(f2449,plain,
( ~ spl72_306
| ~ spl72_211
| ~ spl72_215 ),
inference(avatar_split_clause,[],[f696,f1833,f1816,f2445]) ).
fof(f696,plain,
( e12 != op1(e13,e13)
| e13 != op1(e13,e12)
| ~ sP64 ),
inference(cnf_transformation,[],[f145]) ).
fof(f2448,plain,
( ~ spl72_306
| ~ spl72_208 ),
inference(avatar_split_clause,[],[f834,f1803,f2445]) ).
fof(f834,plain,
( e13 != op1(e13,e13)
| ~ sP64 ),
inference(duplicate_literal_removal,[],[f697]) ).
fof(f697,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| ~ sP64 ),
inference(cnf_transformation,[],[f145]) ).
fof(f2443,plain,
( ~ spl72_305
| spl72_241 ),
inference(avatar_split_clause,[],[f686,f1946,f2435]) ).
fof(f686,plain,
( e12 = op1(e12,e10)
| ~ sP65 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP65 ),
inference(nnf_transformation,[],[f88]) ).
fof(f2442,plain,
( ~ spl72_305
| spl72_238 ),
inference(avatar_split_clause,[],[f687,f1933,f2435]) ).
fof(f687,plain,
( e12 = op1(e10,e12)
| ~ sP65 ),
inference(cnf_transformation,[],[f144]) ).
fof(f2441,plain,
( ~ spl72_305
| ~ spl72_268 ),
inference(avatar_split_clause,[],[f835,f2073,f2435]) ).
fof(f835,plain,
( e10 != op1(e10,e10)
| ~ sP65 ),
inference(duplicate_literal_removal,[],[f688]) ).
fof(f688,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10)
| ~ sP65 ),
inference(cnf_transformation,[],[f144]) ).
fof(f2433,plain,
( ~ spl72_304
| spl72_242 ),
inference(avatar_split_clause,[],[f680,f1950,f2425]) ).
fof(f680,plain,
( e12 = op1(e12,e11)
| ~ sP66 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP66 ),
inference(nnf_transformation,[],[f89]) ).
fof(f2423,plain,
( ~ spl72_303
| spl72_240 ),
inference(avatar_split_clause,[],[f674,f1941,f2415]) ).
fof(f674,plain,
( e12 = op1(e12,e12)
| ~ sP67 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP67 ),
inference(nnf_transformation,[],[f90]) ).
fof(f2413,plain,
( ~ spl72_302
| spl72_214 ),
inference(avatar_split_clause,[],[f668,f1829,f2405]) ).
fof(f668,plain,
( e12 = op1(e12,e13)
| ~ sP68 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP68 ),
inference(nnf_transformation,[],[f91]) ).
fof(f2412,plain,
( ~ spl72_302
| spl72_218 ),
inference(avatar_split_clause,[],[f669,f1846,f2405]) ).
fof(f669,plain,
( e12 = op1(e13,e12)
| ~ sP68 ),
inference(cnf_transformation,[],[f141]) ).
fof(f2408,plain,
( ~ spl72_302
| ~ spl72_208 ),
inference(avatar_split_clause,[],[f838,f1803,f2405]) ).
fof(f838,plain,
( e13 != op1(e13,e13)
| ~ sP68 ),
inference(duplicate_literal_removal,[],[f673]) ).
fof(f673,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| ~ sP68 ),
inference(cnf_transformation,[],[f141]) ).
fof(f2403,plain,
( ~ spl72_301
| spl72_209 ),
inference(avatar_split_clause,[],[f662,f1808,f2395]) ).
fof(f662,plain,
( e13 = op1(e13,e10)
| ~ sP69 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP69 ),
inference(nnf_transformation,[],[f92]) ).
fof(f2402,plain,
( ~ spl72_301
| spl72_205 ),
inference(avatar_split_clause,[],[f663,f1791,f2395]) ).
fof(f663,plain,
( e13 = op1(e10,e13)
| ~ sP69 ),
inference(cnf_transformation,[],[f140]) ).
fof(f2401,plain,
( ~ spl72_301
| ~ spl72_268 ),
inference(avatar_split_clause,[],[f839,f2073,f2395]) ).
fof(f839,plain,
( e10 != op1(e10,e10)
| ~ sP69 ),
inference(duplicate_literal_removal,[],[f664]) ).
fof(f664,plain,
( e10 != op1(e10,e10)
| e10 != op1(e10,e10)
| ~ sP69 ),
inference(cnf_transformation,[],[f140]) ).
fof(f2393,plain,
( ~ spl72_300
| spl72_210 ),
inference(avatar_split_clause,[],[f656,f1812,f2385]) ).
fof(f656,plain,
( e13 = op1(e13,e11)
| ~ sP70 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP70 ),
inference(nnf_transformation,[],[f93]) ).
fof(f2383,plain,
( ~ spl72_299
| spl72_211 ),
inference(avatar_split_clause,[],[f650,f1816,f2375]) ).
fof(f650,plain,
( e13 = op1(e13,e12)
| ~ sP71 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP71 ),
inference(nnf_transformation,[],[f94]) ).
fof(f2382,plain,
( ~ spl72_299
| spl72_207 ),
inference(avatar_split_clause,[],[f651,f1799,f2375]) ).
fof(f651,plain,
( e13 = op1(e12,e13)
| ~ sP71 ),
inference(cnf_transformation,[],[f138]) ).
fof(f2373,plain,
( spl72_298
| spl72_297
| spl72_296
| spl72_295
| spl72_294
| spl72_293
| spl72_292
| spl72_291
| spl72_290
| spl72_289
| spl72_288
| spl72_287
| spl72_286
| spl72_285
| spl72_284
| spl72_144 ),
inference(avatar_split_clause,[],[f639,f1499,f2245,f2253,f2261,f2269,f2277,f2285,f2293,f2301,f2309,f2317,f2325,f2333,f2341,f2349,f2357]) ).
fof(f2357,plain,
( spl72_298
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_298])]) ).
fof(f2349,plain,
( spl72_297
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_297])]) ).
fof(f2341,plain,
( spl72_296
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_296])]) ).
fof(f2333,plain,
( spl72_295
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_295])]) ).
fof(f2325,plain,
( spl72_294
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_294])]) ).
fof(f2317,plain,
( spl72_293
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_293])]) ).
fof(f2309,plain,
( spl72_292
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_292])]) ).
fof(f2301,plain,
( spl72_291
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_291])]) ).
fof(f2293,plain,
( spl72_290
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_290])]) ).
fof(f2285,plain,
( spl72_289
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_289])]) ).
fof(f2277,plain,
( spl72_288
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_288])]) ).
fof(f2269,plain,
( spl72_287
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_287])]) ).
fof(f2261,plain,
( spl72_286
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_286])]) ).
fof(f2253,plain,
( spl72_285
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_285])]) ).
fof(f2245,plain,
( spl72_284
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_284])]) ).
fof(f639,plain,
( e23 = op2(e23,e23)
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 )
& ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ) ),
inference(definition_folding,[],[f11,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& op2(e20,e20) = e21 )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& op2(e20,e20) = e22 )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& op2(e20,e20) = e23 )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e21,e21) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e21,e21) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e21,e21) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e22,e22) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e22,e22) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e22,e22) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e23,e23) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e23,e23) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e23,e23) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f51,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f52,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f53,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f54,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f55,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f56,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f57,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f58,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f59,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f60,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f61,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f62,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f63,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f11,axiom,
( ( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) ) )
& ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e23,e23) )
| ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e23,e23) )
| ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e23,e23) )
| ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e22,e22) )
| ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e22,e22) )
| ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e22,e22) )
| ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e21,e21) )
| ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e21,e21) )
| ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e21,e21) )
| ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& op2(e20,e20) = e23 )
| ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& op2(e20,e20) = e22 )
| ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& op2(e20,e20) = e21 )
| ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2372,plain,
( spl72_298
| spl72_297
| spl72_296
| spl72_295
| spl72_294
| spl72_293
| spl72_292
| spl72_291
| spl72_290
| spl72_289
| spl72_288
| spl72_287
| spl72_286
| spl72_285
| spl72_284
| ~ spl72_201
| spl72_162 ),
inference(avatar_split_clause,[],[f640,f1577,f1751,f2245,f2253,f2261,f2269,f2277,f2285,f2293,f2301,f2309,f2317,f2325,f2333,f2341,f2349,f2357]) ).
fof(f640,plain,
( e20 = op2(e20,e23)
| op2(e20,e20) != e23
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f64]) ).
fof(f2369,plain,
( spl72_283
| spl72_282
| spl72_281
| spl72_280
| spl72_279
| spl72_278
| spl72_277
| spl72_276
| spl72_275
| spl72_274
| spl72_273
| spl72_272
| spl72_271
| spl72_270
| spl72_269
| spl72_144 ),
inference(avatar_split_clause,[],[f644,f1499,f2095,f2105,f2115,f2125,f2135,f2145,f2155,f2165,f2175,f2185,f2195,f2205,f2215,f2225,f2235]) ).
fof(f2235,plain,
( spl72_283
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_283])]) ).
fof(f2225,plain,
( spl72_282
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_282])]) ).
fof(f2215,plain,
( spl72_281
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_281])]) ).
fof(f2205,plain,
( spl72_280
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_280])]) ).
fof(f2195,plain,
( spl72_279
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_279])]) ).
fof(f2185,plain,
( spl72_278
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_278])]) ).
fof(f2175,plain,
( spl72_277
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_277])]) ).
fof(f2165,plain,
( spl72_276
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_276])]) ).
fof(f2155,plain,
( spl72_275
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_275])]) ).
fof(f2145,plain,
( spl72_274
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_274])]) ).
fof(f2135,plain,
( spl72_273
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_273])]) ).
fof(f2125,plain,
( spl72_272
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_272])]) ).
fof(f2115,plain,
( spl72_271
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_271])]) ).
fof(f2105,plain,
( spl72_270
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_270])]) ).
fof(f2095,plain,
( spl72_269
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_269])]) ).
fof(f644,plain,
( e23 = op2(e23,e23)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f64]) ).
fof(f2365,plain,
( spl72_283
| spl72_282
| spl72_281
| spl72_280
| spl72_279
| spl72_278
| spl72_277
| spl72_276
| spl72_275
| spl72_274
| spl72_273
| spl72_272
| spl72_271
| spl72_270
| spl72_269
| ~ spl72_147
| ~ spl72_151 ),
inference(avatar_split_clause,[],[f648,f1529,f1512,f2095,f2105,f2115,f2125,f2135,f2145,f2155,f2165,f2175,f2185,f2195,f2205,f2215,f2225,f2235]) ).
fof(f648,plain,
( e22 != op2(e23,e23)
| e23 != op2(e23,e22)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f64]) ).
fof(f2364,plain,
( spl72_283
| spl72_282
| spl72_281
| spl72_280
| spl72_279
| spl72_278
| spl72_277
| spl72_276
| spl72_275
| spl72_274
| spl72_273
| spl72_272
| spl72_271
| spl72_270
| spl72_269
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f842,f1499,f2095,f2105,f2115,f2125,f2135,f2145,f2155,f2165,f2175,f2185,f2195,f2205,f2215,f2225,f2235]) ).
fof(f842,plain,
( e23 != op2(e23,e23)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(duplicate_literal_removal,[],[f649]) ).
fof(f649,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f64]) ).
fof(f2363,plain,
( ~ spl72_298
| spl72_204 ),
inference(avatar_split_clause,[],[f634,f1769,f2357]) ).
fof(f634,plain,
( e20 = op2(e20,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f2362,plain,
( ~ spl72_298
| ~ spl72_199
| spl72_197 ),
inference(avatar_split_clause,[],[f636,f1732,f1741,f2357]) ).
fof(f636,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP12 ),
inference(cnf_transformation,[],[f137]) ).
fof(f2353,plain,
( ~ spl72_297
| ~ spl72_181
| spl72_178 ),
inference(avatar_split_clause,[],[f632,f1646,f1659,f2349]) ).
fof(f632,plain,
( e22 = op2(e22,e21)
| e21 != op2(e22,e22)
| ~ sP13 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& op2(e20,e20) = e21 )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f2347,plain,
( ~ spl72_296
| spl72_202 ),
inference(avatar_split_clause,[],[f624,f1757,f2341]) ).
fof(f624,plain,
( op2(e20,e20) = e22
| ~ sP14 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& op2(e20,e20) = e22 )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f2346,plain,
( ~ spl72_296
| ~ spl72_202
| spl72_184 ),
inference(avatar_split_clause,[],[f625,f1673,f1757,f2341]) ).
fof(f625,plain,
( e20 = op2(e20,e22)
| op2(e20,e20) != e22
| ~ sP14 ),
inference(cnf_transformation,[],[f135]) ).
fof(f2344,plain,
( ~ spl72_296
| ~ spl72_151
| spl72_147 ),
inference(avatar_split_clause,[],[f628,f1512,f1529,f2341]) ).
fof(f628,plain,
( e23 = op2(e23,e22)
| e22 != op2(e23,e23)
| ~ sP14 ),
inference(cnf_transformation,[],[f135]) ).
fof(f2339,plain,
( ~ spl72_295
| spl72_201 ),
inference(avatar_split_clause,[],[f619,f1751,f2333]) ).
fof(f619,plain,
( op2(e20,e20) = e23
| ~ sP15 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& op2(e20,e20) = e23 )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f2338,plain,
( ~ spl72_295
| ~ spl72_201
| spl72_162 ),
inference(avatar_split_clause,[],[f620,f1577,f1751,f2333]) ).
fof(f620,plain,
( e20 = op2(e20,e23)
| op2(e20,e20) != e23
| ~ sP15 ),
inference(cnf_transformation,[],[f134]) ).
fof(f2330,plain,
( ~ spl72_294
| ~ spl72_199
| spl72_197 ),
inference(avatar_split_clause,[],[f616,f1732,f1741,f2325]) ).
fof(f616,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP16 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e21,e21) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f2328,plain,
( ~ spl72_294
| ~ spl72_165
| spl72_145 ),
inference(avatar_split_clause,[],[f618,f1504,f1589,f2325]) ).
fof(f618,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP16 ),
inference(cnf_transformation,[],[f133]) ).
fof(f2323,plain,
( ~ spl72_293
| spl72_196 ),
inference(avatar_split_clause,[],[f609,f1727,f2317]) ).
fof(f609,plain,
( e21 = op2(e21,e21)
| ~ sP17 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f2315,plain,
( ~ spl72_292
| spl72_193 ),
inference(avatar_split_clause,[],[f604,f1713,f2309]) ).
fof(f604,plain,
( e22 = op2(e21,e21)
| ~ sP18 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e21,e21) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f2307,plain,
( ~ spl72_291
| spl72_190 ),
inference(avatar_split_clause,[],[f599,f1699,f2301]) ).
fof(f599,plain,
( e23 = op2(e21,e21)
| ~ sP19 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e21,e21) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f2299,plain,
( ~ spl72_290
| spl72_186 ),
inference(avatar_split_clause,[],[f594,f1681,f2293]) ).
fof(f594,plain,
( e20 = op2(e22,e22)
| ~ sP20 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e22,e22) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f2289,plain,
( ~ spl72_289
| ~ spl72_181
| spl72_178 ),
inference(avatar_split_clause,[],[f592,f1646,f1659,f2285]) ).
fof(f592,plain,
( e22 = op2(e22,e21)
| e21 != op2(e22,e22)
| ~ sP21 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e22,e22) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f2283,plain,
( ~ spl72_288
| spl72_176 ),
inference(avatar_split_clause,[],[f584,f1637,f2277]) ).
fof(f584,plain,
( e22 = op2(e22,e22)
| ~ sP22 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f2275,plain,
( ~ spl72_287
| spl72_171 ),
inference(avatar_split_clause,[],[f579,f1615,f2269]) ).
fof(f579,plain,
( e23 = op2(e22,e22)
| ~ sP23 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e22,e22) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f2266,plain,
( ~ spl72_286
| ~ spl72_199
| spl72_197 ),
inference(avatar_split_clause,[],[f576,f1732,f1741,f2261]) ).
fof(f576,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP24 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e23,e23) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2264,plain,
( ~ spl72_286
| ~ spl72_165
| spl72_145 ),
inference(avatar_split_clause,[],[f578,f1504,f1589,f2261]) ).
fof(f578,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP24 ),
inference(cnf_transformation,[],[f125]) ).
fof(f2257,plain,
( ~ spl72_285
| ~ spl72_181
| spl72_178 ),
inference(avatar_split_clause,[],[f572,f1646,f1659,f2253]) ).
fof(f572,plain,
( e22 = op2(e22,e21)
| e21 != op2(e22,e22)
| ~ sP25 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e23,e23) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2251,plain,
( ~ spl72_284
| spl72_151 ),
inference(avatar_split_clause,[],[f564,f1529,f2245]) ).
fof(f564,plain,
( e22 = op2(e23,e23)
| ~ sP26 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e23,e23) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2248,plain,
( ~ spl72_284
| ~ spl72_151
| spl72_147 ),
inference(avatar_split_clause,[],[f568,f1512,f1529,f2245]) ).
fof(f568,plain,
( e23 = op2(e23,e22)
| e22 != op2(e23,e23)
| ~ sP26 ),
inference(cnf_transformation,[],[f123]) ).
fof(f2243,plain,
( ~ spl72_283
| spl72_204 ),
inference(avatar_split_clause,[],[f558,f1769,f2235]) ).
fof(f558,plain,
( e20 = op2(e20,e20)
| ~ sP27 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f2241,plain,
( ~ spl72_283
| ~ spl72_204 ),
inference(avatar_split_clause,[],[f843,f1769,f2235]) ).
fof(f843,plain,
( e20 != op2(e20,e20)
| ~ sP27 ),
inference(duplicate_literal_removal,[],[f560]) ).
fof(f560,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| ~ sP27 ),
inference(cnf_transformation,[],[f122]) ).
fof(f2233,plain,
( ~ spl72_282
| spl72_198 ),
inference(avatar_split_clause,[],[f552,f1737,f2225]) ).
fof(f552,plain,
( e20 = op2(e20,e21)
| ~ sP28 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2223,plain,
( ~ spl72_281
| spl72_184 ),
inference(avatar_split_clause,[],[f546,f1673,f2215]) ).
fof(f546,plain,
( e20 = op2(e20,e22)
| ~ sP29 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2222,plain,
( ~ spl72_281
| spl72_187 ),
inference(avatar_split_clause,[],[f547,f1686,f2215]) ).
fof(f547,plain,
( e20 = op2(e22,e20)
| ~ sP29 ),
inference(cnf_transformation,[],[f120]) ).
fof(f2213,plain,
( ~ spl72_280
| spl72_162 ),
inference(avatar_split_clause,[],[f540,f1577,f2205]) ).
fof(f540,plain,
( e20 = op2(e20,e23)
| ~ sP30 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2212,plain,
( ~ spl72_280
| spl72_166 ),
inference(avatar_split_clause,[],[f541,f1594,f2205]) ).
fof(f541,plain,
( e20 = op2(e23,e20)
| ~ sP30 ),
inference(cnf_transformation,[],[f119]) ).
fof(f2210,plain,
( ~ spl72_280
| ~ spl72_146
| ~ spl72_158 ),
inference(avatar_split_clause,[],[f543,f1559,f1508,f2205]) ).
fof(f543,plain,
( e21 != op2(e23,e23)
| e23 != op2(e23,e21)
| ~ sP30 ),
inference(cnf_transformation,[],[f119]) ).
fof(f2208,plain,
( ~ spl72_280
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f846,f1499,f2205]) ).
fof(f846,plain,
( e23 != op2(e23,e23)
| ~ sP30 ),
inference(duplicate_literal_removal,[],[f545]) ).
fof(f545,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP30 ),
inference(cnf_transformation,[],[f119]) ).
fof(f2203,plain,
( ~ spl72_279
| spl72_197 ),
inference(avatar_split_clause,[],[f534,f1732,f2195]) ).
fof(f534,plain,
( e21 = op2(e21,e20)
| ~ sP31 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f2202,plain,
( ~ spl72_279
| spl72_195 ),
inference(avatar_split_clause,[],[f535,f1723,f2195]) ).
fof(f535,plain,
( e21 = op2(e20,e21)
| ~ sP31 ),
inference(cnf_transformation,[],[f118]) ).
fof(f2201,plain,
( ~ spl72_279
| ~ spl72_204 ),
inference(avatar_split_clause,[],[f847,f1769,f2195]) ).
fof(f847,plain,
( e20 != op2(e20,e20)
| ~ sP31 ),
inference(duplicate_literal_removal,[],[f536]) ).
fof(f536,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| ~ sP31 ),
inference(cnf_transformation,[],[f118]) ).
fof(f2198,plain,
( ~ spl72_279
| ~ spl72_162
| ~ spl72_201 ),
inference(avatar_split_clause,[],[f539,f1751,f1577,f2195]) ).
fof(f539,plain,
( op2(e20,e20) != e23
| e20 != op2(e20,e23)
| ~ sP31 ),
inference(cnf_transformation,[],[f118]) ).
fof(f2193,plain,
( ~ spl72_278
| spl72_196 ),
inference(avatar_split_clause,[],[f528,f1727,f2185]) ).
fof(f528,plain,
( e21 = op2(e21,e21)
| ~ sP32 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2182,plain,
( ~ spl72_277
| spl72_183 ),
inference(avatar_split_clause,[],[f523,f1668,f2175]) ).
fof(f523,plain,
( e21 = op2(e22,e21)
| ~ sP33 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f2173,plain,
( ~ spl72_276
| spl72_156 ),
inference(avatar_split_clause,[],[f516,f1551,f2165]) ).
fof(f516,plain,
( e21 = op2(e21,e23)
| ~ sP34 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2169,plain,
( ~ spl72_276
| ~ spl72_147
| ~ spl72_151 ),
inference(avatar_split_clause,[],[f520,f1529,f1512,f2165]) ).
fof(f520,plain,
( e22 != op2(e23,e23)
| e23 != op2(e23,e22)
| ~ sP34 ),
inference(cnf_transformation,[],[f115]) ).
fof(f2168,plain,
( ~ spl72_276
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f850,f1499,f2165]) ).
fof(f850,plain,
( e23 != op2(e23,e23)
| ~ sP34 ),
inference(duplicate_literal_removal,[],[f521]) ).
fof(f521,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP34 ),
inference(cnf_transformation,[],[f115]) ).
fof(f2163,plain,
( ~ spl72_275
| spl72_177 ),
inference(avatar_split_clause,[],[f510,f1642,f2155]) ).
fof(f510,plain,
( e22 = op2(e22,e20)
| ~ sP35 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f2162,plain,
( ~ spl72_275
| spl72_174 ),
inference(avatar_split_clause,[],[f511,f1629,f2155]) ).
fof(f511,plain,
( e22 = op2(e20,e22)
| ~ sP35 ),
inference(cnf_transformation,[],[f114]) ).
fof(f2161,plain,
( ~ spl72_275
| ~ spl72_204 ),
inference(avatar_split_clause,[],[f851,f1769,f2155]) ).
fof(f851,plain,
( e20 != op2(e20,e20)
| ~ sP35 ),
inference(duplicate_literal_removal,[],[f512]) ).
fof(f512,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| ~ sP35 ),
inference(cnf_transformation,[],[f114]) ).
fof(f2153,plain,
( ~ spl72_274
| spl72_178 ),
inference(avatar_split_clause,[],[f504,f1646,f2145]) ).
fof(f504,plain,
( e22 = op2(e22,e21)
| ~ sP36 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP36 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2143,plain,
( ~ spl72_273
| spl72_176 ),
inference(avatar_split_clause,[],[f498,f1637,f2135]) ).
fof(f498,plain,
( e22 = op2(e22,e22)
| ~ sP37 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP37 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2133,plain,
( ~ spl72_272
| spl72_150 ),
inference(avatar_split_clause,[],[f492,f1525,f2125]) ).
fof(f492,plain,
( e22 = op2(e22,e23)
| ~ sP38 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP38 ),
inference(nnf_transformation,[],[f60]) ).
fof(f2132,plain,
( ~ spl72_272
| spl72_154 ),
inference(avatar_split_clause,[],[f493,f1542,f2125]) ).
fof(f493,plain,
( e22 = op2(e23,e22)
| ~ sP38 ),
inference(cnf_transformation,[],[f111]) ).
fof(f2128,plain,
( ~ spl72_272
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f854,f1499,f2125]) ).
fof(f854,plain,
( e23 != op2(e23,e23)
| ~ sP38 ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f497,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP38 ),
inference(cnf_transformation,[],[f111]) ).
fof(f2123,plain,
( ~ spl72_271
| spl72_145 ),
inference(avatar_split_clause,[],[f486,f1504,f2115]) ).
fof(f486,plain,
( e23 = op2(e23,e20)
| ~ sP39 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP39 ),
inference(nnf_transformation,[],[f61]) ).
fof(f2122,plain,
( ~ spl72_271
| spl72_141 ),
inference(avatar_split_clause,[],[f487,f1487,f2115]) ).
fof(f487,plain,
( e23 = op2(e20,e23)
| ~ sP39 ),
inference(cnf_transformation,[],[f110]) ).
fof(f2121,plain,
( ~ spl72_271
| ~ spl72_204 ),
inference(avatar_split_clause,[],[f855,f1769,f2115]) ).
fof(f855,plain,
( e20 != op2(e20,e20)
| ~ sP39 ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f488,plain,
( e20 != op2(e20,e20)
| e20 != op2(e20,e20)
| ~ sP39 ),
inference(cnf_transformation,[],[f110]) ).
fof(f2113,plain,
( ~ spl72_270
| spl72_146 ),
inference(avatar_split_clause,[],[f480,f1508,f2105]) ).
fof(f480,plain,
( e23 = op2(e23,e21)
| ~ sP40 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP40 ),
inference(nnf_transformation,[],[f62]) ).
fof(f2112,plain,
( ~ spl72_270
| spl72_142 ),
inference(avatar_split_clause,[],[f481,f1491,f2105]) ).
fof(f481,plain,
( e23 = op2(e21,e23)
| ~ sP40 ),
inference(cnf_transformation,[],[f109]) ).
fof(f2111,plain,
( ~ spl72_270
| ~ spl72_197
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f482,f1741,f1732,f2105]) ).
fof(f482,plain,
( e20 != op2(e21,e21)
| e21 != op2(e21,e20)
| ~ sP40 ),
inference(cnf_transformation,[],[f109]) ).
fof(f2102,plain,
( ~ spl72_269
| spl72_143 ),
inference(avatar_split_clause,[],[f475,f1495,f2095]) ).
fof(f475,plain,
( e23 = op2(e22,e23)
| ~ sP41 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP41 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2093,plain,
( spl72_268
| spl72_267
| spl72_266
| spl72_265 ),
inference(avatar_split_clause,[],[f458,f2055,f2061,f2067,f2073]) ).
fof(f458,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2089,plain,
( spl72_264
| spl72_261
| spl72_258
| spl72_255 ),
inference(avatar_split_clause,[],[f462,f2008,f2022,f2036,f2050]) ).
fof(f462,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2085,plain,
( spl72_251
| spl72_246
| spl72_241
| spl72_236 ),
inference(avatar_split_clause,[],[f466,f1924,f1946,f1968,f1990]) ).
fof(f466,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2080,plain,
( spl72_231
| spl72_224
| spl72_217
| spl72_210 ),
inference(avatar_split_clause,[],[f471,f1812,f1842,f1872,f1902]) ).
fof(f471,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2077,plain,
( spl72_268
| spl72_262
| spl72_248
| spl72_226 ),
inference(avatar_split_clause,[],[f426,f1881,f1977,f2041,f2073]) ).
fof(f426,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2076,plain,
( spl72_268
| spl72_264
| spl72_251
| spl72_230 ),
inference(avatar_split_clause,[],[f427,f1898,f1990,f2050,f2073]) ).
fof(f427,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2071,plain,
( spl72_267
| spl72_259
| spl72_243
| spl72_219 ),
inference(avatar_split_clause,[],[f428,f1851,f1955,f2027,f2067]) ).
fof(f428,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2070,plain,
( spl72_267
| spl72_261
| spl72_246
| spl72_223 ),
inference(avatar_split_clause,[],[f429,f1868,f1968,f2036,f2067]) ).
fof(f429,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2065,plain,
( spl72_266
| spl72_256
| spl72_238
| spl72_212 ),
inference(avatar_split_clause,[],[f430,f1821,f1933,f2013,f2061]) ).
fof(f430,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2059,plain,
( spl72_265
| spl72_253
| spl72_233
| spl72_205 ),
inference(avatar_split_clause,[],[f432,f1791,f1911,f1999,f2055]) ).
fof(f432,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2058,plain,
( spl72_265
| spl72_255
| spl72_236
| spl72_209 ),
inference(avatar_split_clause,[],[f433,f1808,f1924,f2008,f2055]) ).
fof(f433,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2039,plain,
( spl72_261
| spl72_260
| spl72_244
| spl72_220 ),
inference(avatar_split_clause,[],[f436,f1855,f1959,f2031,f2036]) ).
fof(f436,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2034,plain,
( spl72_259
| spl72_260
| spl72_247
| spl72_224 ),
inference(avatar_split_clause,[],[f437,f1872,f1972,f2031,f2027]) ).
fof(f437,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2025,plain,
( spl72_258
| spl72_257
| spl72_239
| spl72_213 ),
inference(avatar_split_clause,[],[f438,f1825,f1937,f2017,f2022]) ).
fof(f438,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2020,plain,
( spl72_256
| spl72_257
| spl72_242
| spl72_217 ),
inference(avatar_split_clause,[],[f439,f1842,f1950,f2017,f2013]) ).
fof(f439,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2011,plain,
( spl72_255
| spl72_254
| spl72_234
| spl72_206 ),
inference(avatar_split_clause,[],[f440,f1795,f1915,f2003,f2008]) ).
fof(f440,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1997,plain,
( spl72_251
| spl72_252
| spl72_250
| spl72_228 ),
inference(avatar_split_clause,[],[f442,f1889,f1985,f1994,f1990]) ).
fof(f442,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1988,plain,
( spl72_248
| spl72_249
| spl72_250
| spl72_232 ),
inference(avatar_split_clause,[],[f443,f1906,f1985,f1981,f1977]) ).
fof(f443,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1953,plain,
( spl72_241
| spl72_242
| spl72_240
| spl72_214 ),
inference(avatar_split_clause,[],[f446,f1829,f1941,f1950,f1946]) ).
fof(f446,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1944,plain,
( spl72_238
| spl72_239
| spl72_240
| spl72_218 ),
inference(avatar_split_clause,[],[f447,f1846,f1941,f1937,f1933]) ).
fof(f447,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1909,plain,
( spl72_230
| spl72_231
| spl72_232
| spl72_229 ),
inference(avatar_split_clause,[],[f450,f1893,f1906,f1902,f1898]) ).
fof(f450,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1896,plain,
( spl72_226
| spl72_227
| spl72_228
| spl72_229 ),
inference(avatar_split_clause,[],[f451,f1893,f1889,f1885,f1881]) ).
fof(f451,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1879,plain,
( spl72_223
| spl72_224
| spl72_225
| spl72_222 ),
inference(avatar_split_clause,[],[f452,f1863,f1876,f1872,f1868]) ).
fof(f452,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1866,plain,
( spl72_219
| spl72_220
| spl72_221
| spl72_222 ),
inference(avatar_split_clause,[],[f453,f1863,f1859,f1855,f1851]) ).
fof(f453,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1849,plain,
( spl72_216
| spl72_217
| spl72_218
| spl72_215 ),
inference(avatar_split_clause,[],[f454,f1833,f1846,f1842,f1838]) ).
fof(f454,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1836,plain,
( spl72_212
| spl72_213
| spl72_214
| spl72_215 ),
inference(avatar_split_clause,[],[f455,f1833,f1829,f1825,f1821]) ).
fof(f455,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1819,plain,
( spl72_209
| spl72_210
| spl72_211
| spl72_208 ),
inference(avatar_split_clause,[],[f456,f1803,f1816,f1812,f1808]) ).
fof(f456,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1806,plain,
( spl72_205
| spl72_206
| spl72_207
| spl72_208 ),
inference(avatar_split_clause,[],[f457,f1803,f1799,f1795,f1791]) ).
fof(f457,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1773,plain,
( spl72_204
| spl72_198
| spl72_184
| spl72_162 ),
inference(avatar_split_clause,[],[f378,f1577,f1673,f1737,f1769]) ).
fof(f378,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1772,plain,
( spl72_204
| spl72_200
| spl72_187
| spl72_166 ),
inference(avatar_split_clause,[],[f379,f1594,f1686,f1746,f1769]) ).
fof(f379,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1767,plain,
( spl72_203
| spl72_195
| spl72_179
| spl72_155 ),
inference(avatar_split_clause,[],[f380,f1547,f1651,f1723,f1763]) ).
fof(f380,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1766,plain,
( spl72_203
| spl72_197
| spl72_182
| spl72_159 ),
inference(avatar_split_clause,[],[f381,f1564,f1664,f1732,f1763]) ).
fof(f381,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1761,plain,
( spl72_202
| spl72_192
| spl72_174
| spl72_148 ),
inference(avatar_split_clause,[],[f382,f1517,f1629,f1709,f1757]) ).
fof(f382,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1760,plain,
( spl72_202
| spl72_194
| spl72_177
| spl72_152 ),
inference(avatar_split_clause,[],[f383,f1534,f1642,f1718,f1757]) ).
fof(f383,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1755,plain,
( spl72_201
| spl72_189
| spl72_169
| spl72_141 ),
inference(avatar_split_clause,[],[f384,f1487,f1607,f1695,f1751]) ).
fof(f384,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1754,plain,
( spl72_201
| spl72_191
| spl72_172
| spl72_145 ),
inference(avatar_split_clause,[],[f385,f1504,f1620,f1704,f1751]) ).
fof(f385,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1735,plain,
( spl72_197
| spl72_196
| spl72_180
| spl72_156 ),
inference(avatar_split_clause,[],[f388,f1551,f1655,f1727,f1732]) ).
fof(f388,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1730,plain,
( spl72_195
| spl72_196
| spl72_183
| spl72_160 ),
inference(avatar_split_clause,[],[f389,f1568,f1668,f1727,f1723]) ).
fof(f389,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1721,plain,
( spl72_194
| spl72_193
| spl72_175
| spl72_149 ),
inference(avatar_split_clause,[],[f390,f1521,f1633,f1713,f1718]) ).
fof(f390,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1716,plain,
( spl72_192
| spl72_193
| spl72_178
| spl72_153 ),
inference(avatar_split_clause,[],[f391,f1538,f1646,f1713,f1709]) ).
fof(f391,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1707,plain,
( spl72_191
| spl72_190
| spl72_170
| spl72_142 ),
inference(avatar_split_clause,[],[f392,f1491,f1611,f1699,f1704]) ).
fof(f392,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1693,plain,
( spl72_187
| spl72_188
| spl72_186
| spl72_164 ),
inference(avatar_split_clause,[],[f394,f1585,f1681,f1690,f1686]) ).
fof(f394,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1684,plain,
( spl72_184
| spl72_185
| spl72_186
| spl72_168 ),
inference(avatar_split_clause,[],[f395,f1602,f1681,f1677,f1673]) ).
fof(f395,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1649,plain,
( spl72_177
| spl72_178
| spl72_176
| spl72_150 ),
inference(avatar_split_clause,[],[f398,f1525,f1637,f1646,f1642]) ).
fof(f398,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1640,plain,
( spl72_174
| spl72_175
| spl72_176
| spl72_154 ),
inference(avatar_split_clause,[],[f399,f1542,f1637,f1633,f1629]) ).
fof(f399,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1618,plain,
( spl72_169
| spl72_170
| spl72_171
| spl72_147 ),
inference(avatar_split_clause,[],[f401,f1512,f1615,f1611,f1607]) ).
fof(f401,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1605,plain,
( spl72_166
| spl72_167
| spl72_168
| spl72_165 ),
inference(avatar_split_clause,[],[f402,f1589,f1602,f1598,f1594]) ).
fof(f402,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1575,plain,
( spl72_159
| spl72_160
| spl72_161
| spl72_158 ),
inference(avatar_split_clause,[],[f404,f1559,f1572,f1568,f1564]) ).
fof(f404,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1562,plain,
( spl72_155
| spl72_156
| spl72_157
| spl72_158 ),
inference(avatar_split_clause,[],[f405,f1559,f1555,f1551,f1547]) ).
fof(f405,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1545,plain,
( spl72_152
| spl72_153
| spl72_154
| spl72_151 ),
inference(avatar_split_clause,[],[f406,f1529,f1542,f1538,f1534]) ).
fof(f406,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1532,plain,
( spl72_148
| spl72_149
| spl72_150
| spl72_151 ),
inference(avatar_split_clause,[],[f407,f1529,f1525,f1521,f1517]) ).
fof(f407,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1515,plain,
( spl72_145
| spl72_146
| spl72_147
| spl72_144 ),
inference(avatar_split_clause,[],[f408,f1499,f1512,f1508,f1504]) ).
fof(f408,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1502,plain,
( spl72_141
| spl72_142
| spl72_143
| spl72_144 ),
inference(avatar_split_clause,[],[f409,f1499,f1495,f1491,f1487]) ).
fof(f409,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1485,plain,
spl72_18,
inference(avatar_split_clause,[],[f272,f940]) ).
fof(f272,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f1484,plain,
spl72_38,
inference(avatar_split_clause,[],[f268,f1036]) ).
fof(f268,plain,
e21 = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f1483,plain,
spl72_58,
inference(avatar_split_clause,[],[f264,f1132]) ).
fof(f264,plain,
e20 = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f1482,plain,
spl72_78,
inference(avatar_split_clause,[],[f260,f1216]) ).
fof(f260,plain,
e23 = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1476,plain,
( ~ spl72_121
| ~ spl72_122
| ~ spl72_123
| ~ spl72_124
| ~ spl72_125
| ~ spl72_126
| ~ spl72_127
| ~ spl72_128
| ~ spl72_129
| ~ spl72_130
| ~ spl72_131
| ~ spl72_132
| ~ spl72_133
| ~ spl72_134
| ~ spl72_135
| ~ spl72_136
| spl72_56
| spl72_51
| spl72_46
| ~ spl72_139 ),
inference(avatar_split_clause,[],[f217,f1473,f1075,f1099,f1123,f1459,f1455,f1451,f1447,f1443,f1439,f1435,f1431,f1427,f1423,f1419,f1415,f1411,f1407,f1403,f1399]) ).
fof(f1123,plain,
( spl72_56
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_56])]) ).
fof(f1099,plain,
( spl72_51
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_51])]) ).
fof(f1075,plain,
( spl72_46
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_46])]) ).
fof(f217,plain,
( e23 != h1(e11)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1466,plain,
( ~ spl72_121
| ~ spl72_122
| ~ spl72_123
| ~ spl72_124
| ~ spl72_125
| ~ spl72_126
| ~ spl72_127
| ~ spl72_128
| ~ spl72_129
| ~ spl72_130
| ~ spl72_131
| ~ spl72_132
| ~ spl72_133
| ~ spl72_134
| ~ spl72_135
| ~ spl72_136
| spl72_56
| spl72_51
| spl72_46
| ~ spl72_137 ),
inference(avatar_split_clause,[],[f219,f1463,f1075,f1099,f1123,f1459,f1455,f1451,f1447,f1443,f1439,f1435,f1431,f1427,f1423,f1419,f1415,f1411,f1407,f1403,f1399]) ).
fof(f219,plain,
( e23 != h1(e13)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f1382,plain,
( ~ spl72_101
| ~ spl72_102
| ~ spl72_103
| ~ spl72_104
| ~ spl72_105
| ~ spl72_106
| ~ spl72_107
| ~ spl72_108
| ~ spl72_109
| ~ spl72_110
| ~ spl72_111
| ~ spl72_112
| ~ spl72_113
| ~ spl72_114
| ~ spl72_115
| ~ spl72_116
| spl72_41
| spl72_36
| spl72_31
| ~ spl72_117 ),
inference(avatar_split_clause,[],[f223,f1379,f1003,f1027,f1051,f1375,f1371,f1367,f1363,f1359,f1355,f1351,f1347,f1343,f1339,f1335,f1331,f1327,f1323,f1319,f1315]) ).
fof(f1051,plain,
( spl72_41
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_41])]) ).
fof(f1027,plain,
( spl72_36
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_36])]) ).
fof(f1003,plain,
( spl72_31
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_31])]) ).
fof(f223,plain,
( e23 != h2(e13)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f1298,plain,
( ~ spl72_81
| ~ spl72_82
| ~ spl72_83
| ~ spl72_84
| ~ spl72_85
| ~ spl72_86
| ~ spl72_87
| ~ spl72_88
| ~ spl72_89
| ~ spl72_90
| ~ spl72_91
| ~ spl72_92
| ~ spl72_93
| ~ spl72_94
| ~ spl72_95
| ~ spl72_96
| spl72_26
| spl72_21
| spl72_16
| ~ spl72_97 ),
inference(avatar_split_clause,[],[f227,f1295,f931,f955,f979,f1291,f1287,f1283,f1279,f1275,f1271,f1267,f1263,f1259,f1255,f1251,f1247,f1243,f1239,f1235,f1231]) ).
fof(f979,plain,
( spl72_26
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_26])]) ).
fof(f955,plain,
( spl72_21
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_21])]) ).
fof(f931,plain,
( spl72_16
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_16])]) ).
fof(f227,plain,
( e23 != h3(e13)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f1219,plain,
( ~ spl72_61
| ~ spl72_62
| ~ spl72_63
| ~ spl72_64
| ~ spl72_65
| ~ spl72_66
| ~ spl72_67
| ~ spl72_68
| ~ spl72_69
| ~ spl72_70
| ~ spl72_71
| ~ spl72_72
| ~ spl72_73
| ~ spl72_74
| ~ spl72_75
| ~ spl72_76
| spl72_11
| spl72_6
| spl72_1
| ~ spl72_78 ),
inference(avatar_split_clause,[],[f230,f1216,f859,f883,f907,f1207,f1203,f1199,f1195,f1191,f1187,f1183,f1179,f1175,f1171,f1167,f1163,f1159,f1155,f1151,f1147]) ).
fof(f907,plain,
( spl72_11
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_11])]) ).
fof(f883,plain,
( spl72_6
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).
fof(f859,plain,
( spl72_1
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).
fof(f230,plain,
( e23 != h4(e12)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f1135,plain,
( ~ spl72_56
| ~ spl72_58 ),
inference(avatar_split_clause,[],[f214,f1132,f1123]) ).
fof(f214,plain,
( e20 != h1(e12)
| ~ sP0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1121,plain,
( ~ spl72_51
| ~ spl72_55 ),
inference(avatar_split_clause,[],[f208,f1118,f1099]) ).
fof(f208,plain,
( e21 != h1(e10)
| ~ sP1 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1092,plain,
( ~ spl72_46
| ~ spl72_49 ),
inference(avatar_split_clause,[],[f205,f1089,f1075]) ).
fof(f205,plain,
( e22 != h1(e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1082,plain,
( ~ spl72_46
| ~ spl72_47 ),
inference(avatar_split_clause,[],[f207,f1079,f1075]) ).
fof(f207,plain,
( e22 != h1(e13)
| ~ sP2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f1068,plain,
( ~ spl72_41
| ~ spl72_44 ),
inference(avatar_split_clause,[],[f201,f1065,f1051]) ).
fof(f201,plain,
( e20 != h2(e11)
| ~ sP3 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1039,plain,
( ~ spl72_36
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f198,f1036,f1027]) ).
fof(f198,plain,
( e21 != h2(e12)
| ~ sP4 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1025,plain,
( ~ spl72_31
| ~ spl72_35 ),
inference(avatar_split_clause,[],[f192,f1022,f1003]) ).
fof(f192,plain,
( e22 != h2(e10)
| ~ sP5 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1001,plain,
( ~ spl72_26
| ~ spl72_30 ),
inference(avatar_split_clause,[],[f188,f998,f979]) ).
fof(f188,plain,
( e20 != h3(e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f972,plain,
( ~ spl72_21
| ~ spl72_24 ),
inference(avatar_split_clause,[],[f185,f969,f955]) ).
fof(f185,plain,
( e21 != h3(e11)
| ~ sP7 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f943,plain,
( ~ spl72_16
| ~ spl72_18 ),
inference(avatar_split_clause,[],[f182,f940,f931]) ).
fof(f182,plain,
( e22 != h3(e12)
| ~ sP8 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f929,plain,
( ~ spl72_11
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f176,f926,f907]) ).
fof(f176,plain,
( e20 != h4(e10)
| ~ sP9 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f924,plain,
( ~ spl72_11
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f177,f921,f907]) ).
fof(f177,plain,
( e20 != h4(e11)
| ~ sP9 ),
inference(cnf_transformation,[],[f98]) ).
fof(f900,plain,
( ~ spl72_6
| ~ spl72_9 ),
inference(avatar_split_clause,[],[f173,f897,f883]) ).
fof(f173,plain,
( e21 != h4(e11)
| ~ sP10 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f890,plain,
( ~ spl72_6
| ~ spl72_7 ),
inference(avatar_split_clause,[],[f175,f887,f883]) ).
fof(f175,plain,
( e21 != h4(e13)
| ~ sP10 ),
inference(cnf_transformation,[],[f97]) ).
fof(f881,plain,
( ~ spl72_1
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f168,f878,f859]) ).
fof(f168,plain,
( e22 != h4(e10)
| ~ sP11 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f866,plain,
( ~ spl72_1
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f171,f863,f859]) ).
fof(f171,plain,
( e22 != h4(e13)
| ~ sP11 ),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG128+1 : TPTP v8.2.0. Released v2.7.0.
% 0.12/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 17:47:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.19/0.36 Running first-order theorem proving
% 0.19/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.45 % (2111)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (2113)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.45 % (2111)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (2118)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.45 % (2111)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (2117)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.45 % (2111)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (2116)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.45 % (2111)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (2114)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.46 % (2111)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46 % (2115)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.46 % (2111)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46 % (2112)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.50 % (2116)Instruction limit reached!
% 0.21/0.50 % (2116)------------------------------
% 0.21/0.50 % (2116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (2116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (2116)Termination reason: Time limit
% 0.21/0.50 % (2116)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (2116)Memory used [KB]: 2321
% 0.21/0.50 % (2116)Time elapsed: 0.055 s
% 0.21/0.50 % (2116)Instructions burned: 109 (million)
% 0.21/0.50 % (2118)Instruction limit reached!
% 0.21/0.50 % (2118)------------------------------
% 0.21/0.50 % (2118)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (2118)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (2118)Termination reason: Time limit
% 0.21/0.50 % (2118)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (2118)Memory used [KB]: 1897
% 0.21/0.50 % (2118)Time elapsed: 0.056 s
% 0.21/0.50 % (2118)Instructions burned: 125 (million)
% 0.21/0.52 % (2117)Instruction limit reached!
% 0.21/0.52 % (2117)------------------------------
% 0.21/0.52 % (2117)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.52 % (2117)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.52 % (2117)Termination reason: Time limit
% 0.21/0.52 % (2117)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (2117)Memory used [KB]: 3451
% 0.21/0.52 % (2117)Time elapsed: 0.067 s
% 0.21/0.52 % (2117)Instructions burned: 132 (million)
% 1.23/0.56 % (2111)Running in auto input_syntax mode. Trying TPTP
% 1.23/0.56 % (2121)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 1.23/0.56 % (2111)Running in auto input_syntax mode. Trying TPTP
% 1.23/0.56 % (2120)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 1.23/0.57 % (2111)Running in auto input_syntax mode. Trying TPTP
% 1.23/0.57 % (2122)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 1.38/0.60 % (2113)First to succeed.
% 1.38/0.62 % (2120)Instruction limit reached!
% 1.38/0.62 % (2120)------------------------------
% 1.38/0.62 % (2120)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.38/0.62 % (2120)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.38/0.62 % (2120)Termination reason: Time limit
% 1.38/0.62 % (2120)Termination phase: Saturation
% 1.38/0.62
% 1.38/0.62 % (2120)Memory used [KB]: 2219
% 1.38/0.62 % (2120)Time elapsed: 0.056 s
% 1.38/0.62 % (2120)Instructions burned: 127 (million)
% 1.38/0.62 % (2121)Instruction limit reached!
% 1.38/0.62 % (2121)------------------------------
% 1.38/0.62 % (2121)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.38/0.62 % (2121)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.38/0.62 % (2121)Termination reason: Time limit
% 1.38/0.62 % (2121)Termination phase: Saturation
% 1.38/0.62
% 1.38/0.62 % (2121)Memory used [KB]: 3094
% 1.38/0.62 % (2121)Time elapsed: 0.065 s
% 1.38/0.62 % (2121)Instructions burned: 147 (million)
% 1.73/0.63 % (2113)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2111"
% 1.73/0.63 % (2111)Running in auto input_syntax mode. Trying TPTP
% 1.73/0.63 % (2113)Refutation found. Thanks to Tanya!
% 1.73/0.63 % SZS status Theorem for theBenchmark
% 1.73/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.64 % (2113)------------------------------
% 1.73/0.64 % (2113)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.73/0.64 % (2113)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.73/0.64 % (2113)Termination reason: Refutation
% 1.73/0.64
% 1.73/0.64 % (2113)Memory used [KB]: 3334
% 1.73/0.64 % (2113)Time elapsed: 0.181 s
% 1.73/0.64 % (2113)Instructions burned: 357 (million)
% 1.73/0.64 % (2113)------------------------------
% 1.73/0.64 % (2113)------------------------------
% 1.73/0.64 % (2111)Success in time 0.242 s
%------------------------------------------------------------------------------