TSTP Solution File: ALG106+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ALG106+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n015.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 04:06:48 EDT 2024
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 252
% Syntax : Number of formulae : 1206 ( 50 unt; 0 def)
% Number of atoms : 4684 (2446 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5812 (2334 ~;2344 |; 937 &)
% ( 197 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 241 ( 239 usr; 240 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5790,plain,
$false,
inference(avatar_sat_refutation,[],[f694,f728,f757,f1059,f1239,f1258,f1271,f1288,f1361,f1374,f1383,f1396,f1405,f1418,f1440,f1458,f1463,f1486,f1500,f1505,f1510,f1517,f1523,f1529,f1541,f1542,f1562,f1575,f1592,f1665,f1678,f1700,f1709,f1731,f1744,f1762,f1767,f1781,f1790,f1795,f1804,f1809,f1814,f1821,f1826,f1832,f1833,f1858,f1869,f1877,f1878,f1879,f1889,f1895,f1899,f1904,f1915,f1917,f1918,f1919,f1929,f1935,f1938,f1939,f1944,f1956,f1957,f1958,f1969,f1978,f1979,f1984,f1997,f1999,f2005,f2022,f2039,f2056,f2082,f2093,f2100,f2101,f2102,f2103,f2113,f2119,f2123,f2133,f2141,f2142,f2143,f2152,f2159,f2163,f2168,f2180,f2181,f2182,f2183,f2192,f2193,f2199,f2202,f2208,f2220,f2221,f2223,f2229,f2246,f2263,f2280,f2298,f2299,f2312,f2350,f2366,f2375,f2384,f2400,f2409,f2416,f2431,f2437,f2445,f2452,f2467,f2476,f2483,f2490,f2504,f2541,f2566,f2575,f2603,f2607,f2610,f2615,f2618,f2627,f2670,f2673,f2677,f2692,f2728,f2790,f2807,f2861,f2936,f2980,f3004,f3029,f3037,f3046,f3061,f3069,f3076,f3083,f3098,f3102,f3118,f3130,f3153,f3165,f3171,f3176,f3192,f3199,f3208,f3226,f3240,f3256,f3263,f3267,f3287,f3290,f3294,f3345,f3386,f3418,f3429,f3440,f3465,f3477,f3480,f3549,f3559,f3681,f3684,f3687,f3700,f3701,f3710,f3743,f3769,f3772,f3776,f3780,f3807,f3868,f3872,f3876,f3880,f3889,f3896,f3949,f3989,f3998,f4003,f4028,f4133,f4302,f4305,f4392,f4395,f4405,f4450,f4454,f4509,f4522,f4525,f4527,f4528,f4531,f4543,f4544,f4648,f4676,f4679,f4688,f4701,f4705,f4743,f4752,f4765,f4812,f4814,f4861,f4867,f4894,f4941,f4956,f5129,f5134,f5140,f5149,f5159,f5169,f5178,f5188,f5197,f5207,f5217,f5255,f5265,f5274,f5285,f5290,f5307,f5349,f5372,f5376,f5485,f5497,f5501,f5505,f5735,f5743,f5784]) ).
fof(f5784,plain,
( spl42_228
| ~ spl42_217
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f4976,f1619,f1598,f1645]) ).
fof(f1645,plain,
( spl42_228
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_228])]) ).
fof(f1598,plain,
( spl42_217
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_217])]) ).
fof(f1619,plain,
( spl42_222
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_222])]) ).
fof(f4976,plain,
( e10 = op1(e12,e13)
| ~ spl42_217
| ~ spl42_222 ),
inference(forward_demodulation,[],[f4975,f1600]) ).
fof(f1600,plain,
( e12 = op1(e13,e11)
| ~ spl42_217 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f4975,plain,
( e10 = op1(op1(e13,e11),e13)
| ~ spl42_222 ),
inference(forward_demodulation,[],[f315,f1621]) ).
fof(f1621,plain,
( e11 = op1(e13,e13)
| ~ spl42_222 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f315,plain,
e10 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,op1(e13,e13)),e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5743,plain,
( spl42_241
| ~ spl42_228
| ~ spl42_317 ),
inference(avatar_split_clause,[],[f4942,f2239,f1645,f1702]) ).
fof(f1702,plain,
( spl42_241
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_241])]) ).
fof(f2239,plain,
( spl42_317
<=> e12 = op1(e12,op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_317])]) ).
fof(f4942,plain,
( e12 = op1(e12,e10)
| ~ spl42_228
| ~ spl42_317 ),
inference(forward_demodulation,[],[f2241,f1647]) ).
fof(f1647,plain,
( e10 = op1(e12,e13)
| ~ spl42_228 ),
inference(avatar_component_clause,[],[f1645]) ).
fof(f2241,plain,
( e12 = op1(e12,op1(e12,e13))
| ~ spl42_317 ),
inference(avatar_component_clause,[],[f2239]) ).
fof(f5735,plain,
( ~ spl42_249
| spl42_261
| ~ spl42_320 ),
inference(avatar_contradiction_clause,[],[f5734]) ).
fof(f5734,plain,
( $false
| ~ spl42_249
| spl42_261
| ~ spl42_320 ),
inference(subsumption_resolution,[],[f5733,f1793]) ).
fof(f1793,plain,
( e11 != op1(e11,e10)
| spl42_261 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f1792,plain,
( spl42_261
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_261])]) ).
fof(f5733,plain,
( e11 = op1(e11,e10)
| ~ spl42_249
| ~ spl42_320 ),
inference(forward_demodulation,[],[f2254,f1739]) ).
fof(f1739,plain,
( e10 = op1(e11,e12)
| ~ spl42_249 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1737,plain,
( spl42_249
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_249])]) ).
fof(f2254,plain,
( e11 = op1(e11,op1(e11,e12))
| ~ spl42_320 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2252,plain,
( spl42_320
<=> e11 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_320])]) ).
fof(f5505,plain,
( ~ spl42_238
| spl42_248
| ~ spl42_319 ),
inference(avatar_contradiction_clause,[],[f5504]) ).
fof(f5504,plain,
( $false
| ~ spl42_238
| spl42_248
| ~ spl42_319 ),
inference(subsumption_resolution,[],[f5503,f1734]) ).
fof(f1734,plain,
( e10 != op1(e10,e12)
| spl42_248 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1733,plain,
( spl42_248
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_248])]) ).
fof(f5503,plain,
( e10 = op1(e10,e12)
| ~ spl42_238
| ~ spl42_319 ),
inference(forward_demodulation,[],[f2250,f1691]) ).
fof(f1691,plain,
( e12 = op1(e10,e12)
| ~ spl42_238 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1689,plain,
( spl42_238
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_238])]) ).
fof(f2250,plain,
( e10 = op1(e10,op1(e10,e12))
| ~ spl42_319 ),
inference(avatar_component_clause,[],[f2248]) ).
fof(f2248,plain,
( spl42_319
<=> e10 = op1(e10,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_319])]) ).
fof(f5501,plain,
( ~ spl42_265
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f4920,f1547,f1811]) ).
fof(f1811,plain,
( spl42_265
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_265])]) ).
fof(f1547,plain,
( spl42_205
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_205])]) ).
fof(f4920,plain,
( op1(e10,e10) != e13
| ~ spl42_205 ),
inference(forward_demodulation,[],[f242,f1549]) ).
fof(f1549,plain,
( e13 = op1(e10,e13)
| ~ spl42_205 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f242,plain,
op1(e10,e10) != op1(e10,e13),
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5497,plain,
( ~ spl42_240
| ~ spl42_241 ),
inference(avatar_split_clause,[],[f5496,f1702,f1697]) ).
fof(f1697,plain,
( spl42_240
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_240])]) ).
fof(f5496,plain,
( e12 != op1(e12,e12)
| ~ spl42_241 ),
inference(forward_demodulation,[],[f253,f1704]) ).
fof(f1704,plain,
( e12 = op1(e12,e10)
| ~ spl42_241 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f253,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5485,plain,
( ~ spl42_203
| ~ spl42_204 ),
inference(avatar_contradiction_clause,[],[f5484]) ).
fof(f5484,plain,
( $false
| ~ spl42_203
| ~ spl42_204 ),
inference(subsumption_resolution,[],[f5480,f172]) ).
fof(f172,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5480,plain,
( e20 = e21
| ~ spl42_203
| ~ spl42_204 ),
inference(superposition,[],[f1521,f1527]) ).
fof(f1527,plain,
( e20 = op2(e20,e20)
| ~ spl42_204 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f1525,plain,
( spl42_204
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_204])]) ).
fof(f1521,plain,
( op2(e20,e20) = e21
| ~ spl42_203 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1519,plain,
( spl42_203
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_203])]) ).
fof(f5376,plain,
( ~ spl42_24
| spl42_91
| ~ spl42_98
| ~ spl42_158
| ~ spl42_245 ),
inference(avatar_split_clause,[],[f5375,f1719,f1315,f1056,f1027,f725]) ).
fof(f725,plain,
( spl42_24
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).
fof(f1027,plain,
( spl42_91
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_91])]) ).
fof(f1056,plain,
( spl42_98
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).
fof(f1315,plain,
( spl42_158
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_158])]) ).
fof(f1719,plain,
( spl42_245
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_245])]) ).
fof(f5375,plain,
( e21 != h3(e11)
| spl42_91
| ~ spl42_98
| ~ spl42_158
| ~ spl42_245 ),
inference(forward_demodulation,[],[f5374,f1317]) ).
fof(f1317,plain,
( e21 = op2(e23,e23)
| ~ spl42_158 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f5374,plain,
( op2(e23,e23) != h3(e11)
| spl42_91
| ~ spl42_98
| ~ spl42_245 ),
inference(forward_demodulation,[],[f5373,f1721]) ).
fof(f1721,plain,
( e11 = op1(e12,e12)
| ~ spl42_245 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f5373,plain,
( op2(e23,e23) != h3(op1(e12,e12))
| spl42_91
| ~ spl42_98 ),
inference(forward_demodulation,[],[f1029,f1057]) ).
fof(f1057,plain,
( e23 = h3(e12)
| ~ spl42_98 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1029,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl42_91 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f5372,plain,
( ~ spl42_30
| ~ spl42_17
| spl42_92
| ~ spl42_98
| ~ spl42_168
| ~ spl42_228 ),
inference(avatar_split_clause,[],[f5371,f1645,f1358,f1056,f1031,f691,f754]) ).
fof(f754,plain,
( spl42_30
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).
fof(f691,plain,
( spl42_17
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).
fof(f1031,plain,
( spl42_92
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).
fof(f1358,plain,
( spl42_168
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_168])]) ).
fof(f5371,plain,
( e20 != h3(e10)
| ~ spl42_17
| spl42_92
| ~ spl42_98
| ~ spl42_168
| ~ spl42_228 ),
inference(forward_demodulation,[],[f5370,f1360]) ).
fof(f1360,plain,
( e20 = op2(e23,e22)
| ~ spl42_168 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f5370,plain,
( op2(e23,e22) != h3(e10)
| ~ spl42_17
| spl42_92
| ~ spl42_98
| ~ spl42_228 ),
inference(forward_demodulation,[],[f5369,f1647]) ).
fof(f5369,plain,
( op2(e23,e22) != h3(op1(e12,e13))
| ~ spl42_17
| spl42_92
| ~ spl42_98 ),
inference(forward_demodulation,[],[f5368,f1057]) ).
fof(f5368,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| ~ spl42_17
| spl42_92 ),
inference(forward_demodulation,[],[f1033,f692]) ).
fof(f692,plain,
( e22 = h3(e13)
| ~ spl42_17 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f1033,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl42_92 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f5349,plain,
( spl42_204
| ~ spl42_198
| ~ spl42_292 ),
inference(avatar_split_clause,[],[f5348,f2041,f1493,f1525]) ).
fof(f1493,plain,
( spl42_198
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_198])]) ).
fof(f2041,plain,
( spl42_292
<=> e20 = op2(e20,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_292])]) ).
fof(f5348,plain,
( e20 = op2(e20,e20)
| ~ spl42_198
| ~ spl42_292 ),
inference(forward_demodulation,[],[f2043,f1495]) ).
fof(f1495,plain,
( e20 = op2(e20,e21)
| ~ spl42_198 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f2043,plain,
( e20 = op2(e20,op2(e20,e21))
| ~ spl42_292 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f5307,plain,
( ~ spl42_177
| ~ spl42_17
| ~ spl42_30
| spl42_93
| ~ spl42_209 ),
inference(avatar_split_clause,[],[f5306,f1564,f1035,f754,f691,f1398]) ).
fof(f1398,plain,
( spl42_177
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).
fof(f1035,plain,
( spl42_93
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).
fof(f1564,plain,
( spl42_209
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).
fof(f5306,plain,
( e22 != op2(e22,e20)
| ~ spl42_17
| ~ spl42_30
| spl42_93
| ~ spl42_209 ),
inference(forward_demodulation,[],[f5305,f692]) ).
fof(f5305,plain,
( op2(e22,e20) != h3(e13)
| ~ spl42_17
| ~ spl42_30
| spl42_93
| ~ spl42_209 ),
inference(forward_demodulation,[],[f5304,f1566]) ).
fof(f1566,plain,
( e13 = op1(e13,e10)
| ~ spl42_209 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f5304,plain,
( op2(e22,e20) != h3(op1(e13,e10))
| ~ spl42_17
| ~ spl42_30
| spl42_93 ),
inference(forward_demodulation,[],[f5303,f692]) ).
fof(f5303,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| ~ spl42_30
| spl42_93 ),
inference(forward_demodulation,[],[f1037,f755]) ).
fof(f755,plain,
( e20 = h3(e10)
| ~ spl42_30 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f1037,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl42_93 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f5290,plain,
( ~ spl42_197
| ~ spl42_203 ),
inference(avatar_split_clause,[],[f4411,f1519,f1488]) ).
fof(f1488,plain,
( spl42_197
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_197])]) ).
fof(f4411,plain,
( e21 != op2(e21,e20)
| ~ spl42_203 ),
inference(forward_demodulation,[],[f264,f1521]) ).
fof(f264,plain,
op2(e20,e20) != op2(e21,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5285,plain,
( spl42_164
| ~ spl42_153
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f4964,f1315,f1294,f1341]) ).
fof(f1341,plain,
( spl42_164
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_164])]) ).
fof(f1294,plain,
( spl42_153
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).
fof(f4964,plain,
( e20 = op2(e22,e23)
| ~ spl42_153
| ~ spl42_158 ),
inference(forward_demodulation,[],[f4963,f1296]) ).
fof(f1296,plain,
( e22 = op2(e23,e21)
| ~ spl42_153 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f4963,plain,
( e20 = op2(op2(e23,e21),e23)
| ~ spl42_158 ),
inference(forward_demodulation,[],[f312,f1317]) ).
fof(f312,plain,
e20 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e22 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5274,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_96
| ~ spl42_181
| ~ spl42_222 ),
inference(avatar_contradiction_clause,[],[f5273]) ).
fof(f5273,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_96
| ~ spl42_181
| ~ spl42_222 ),
inference(subsumption_resolution,[],[f5272,f1417]) ).
fof(f1417,plain,
( e21 = op2(e22,e22)
| ~ spl42_181 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1415,plain,
( spl42_181
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).
fof(f5272,plain,
( e21 != op2(e22,e22)
| ~ spl42_17
| ~ spl42_24
| spl42_96
| ~ spl42_222 ),
inference(forward_demodulation,[],[f5271,f726]) ).
fof(f726,plain,
( e21 = h3(e11)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f5271,plain,
( op2(e22,e22) != h3(e11)
| ~ spl42_17
| spl42_96
| ~ spl42_222 ),
inference(forward_demodulation,[],[f5270,f1621]) ).
fof(f5270,plain,
( op2(e22,e22) != h3(op1(e13,e13))
| ~ spl42_17
| spl42_96 ),
inference(forward_demodulation,[],[f1049,f692]) ).
fof(f1049,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl42_96 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1047,plain,
( spl42_96
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).
fof(f5265,plain,
( ~ spl42_17
| ~ spl42_30
| spl42_95
| ~ spl42_98
| ~ spl42_164
| ~ spl42_232 ),
inference(avatar_contradiction_clause,[],[f5264]) ).
fof(f5264,plain,
( $false
| ~ spl42_17
| ~ spl42_30
| spl42_95
| ~ spl42_98
| ~ spl42_164
| ~ spl42_232 ),
inference(subsumption_resolution,[],[f5263,f1343]) ).
fof(f1343,plain,
( e20 = op2(e22,e23)
| ~ spl42_164 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f5263,plain,
( e20 != op2(e22,e23)
| ~ spl42_17
| ~ spl42_30
| spl42_95
| ~ spl42_98
| ~ spl42_232 ),
inference(forward_demodulation,[],[f5262,f755]) ).
fof(f5262,plain,
( op2(e22,e23) != h3(e10)
| ~ spl42_17
| spl42_95
| ~ spl42_98
| ~ spl42_232 ),
inference(forward_demodulation,[],[f5261,f1664]) ).
fof(f1664,plain,
( e10 = op1(e13,e12)
| ~ spl42_232 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1662,plain,
( spl42_232
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_232])]) ).
fof(f5261,plain,
( op2(e22,e23) != h3(op1(e13,e12))
| ~ spl42_17
| spl42_95
| ~ spl42_98 ),
inference(forward_demodulation,[],[f5260,f692]) ).
fof(f5260,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e23)
| spl42_95
| ~ spl42_98 ),
inference(forward_demodulation,[],[f1045,f1057]) ).
fof(f1045,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl42_95 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl42_95
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_95])]) ).
fof(f5255,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_94
| ~ spl42_98
| ~ spl42_173
| ~ spl42_217 ),
inference(avatar_contradiction_clause,[],[f5254]) ).
fof(f5254,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_94
| ~ spl42_98
| ~ spl42_173
| ~ spl42_217 ),
inference(subsumption_resolution,[],[f5253,f1382]) ).
fof(f1382,plain,
( e23 = op2(e22,e21)
| ~ spl42_173 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1380,plain,
( spl42_173
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_173])]) ).
fof(f5253,plain,
( e23 != op2(e22,e21)
| ~ spl42_17
| ~ spl42_24
| spl42_94
| ~ spl42_98
| ~ spl42_217 ),
inference(forward_demodulation,[],[f5252,f1057]) ).
fof(f5252,plain,
( op2(e22,e21) != h3(e12)
| ~ spl42_17
| ~ spl42_24
| spl42_94
| ~ spl42_217 ),
inference(forward_demodulation,[],[f5251,f1600]) ).
fof(f5251,plain,
( op2(e22,e21) != h3(op1(e13,e11))
| ~ spl42_17
| ~ spl42_24
| spl42_94 ),
inference(forward_demodulation,[],[f5250,f692]) ).
fof(f5250,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| ~ spl42_24
| spl42_94 ),
inference(forward_demodulation,[],[f1041,f726]) ).
fof(f1041,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl42_94 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1039,plain,
( spl42_94
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).
fof(f5217,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_90
| ~ spl42_98
| ~ spl42_153
| ~ spl42_237 ),
inference(avatar_contradiction_clause,[],[f5216]) ).
fof(f5216,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_90
| ~ spl42_98
| ~ spl42_153
| ~ spl42_237 ),
inference(subsumption_resolution,[],[f5215,f1296]) ).
fof(f5215,plain,
( e22 != op2(e23,e21)
| ~ spl42_17
| ~ spl42_24
| spl42_90
| ~ spl42_98
| ~ spl42_237 ),
inference(forward_demodulation,[],[f5214,f692]) ).
fof(f5214,plain,
( op2(e23,e21) != h3(e13)
| ~ spl42_24
| spl42_90
| ~ spl42_98
| ~ spl42_237 ),
inference(forward_demodulation,[],[f5213,f1686]) ).
fof(f1686,plain,
( e13 = op1(e12,e11)
| ~ spl42_237 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f1684,plain,
( spl42_237
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_237])]) ).
fof(f5213,plain,
( op2(e23,e21) != h3(op1(e12,e11))
| ~ spl42_24
| spl42_90
| ~ spl42_98 ),
inference(forward_demodulation,[],[f5212,f1057]) ).
fof(f5212,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| ~ spl42_24
| spl42_90 ),
inference(forward_demodulation,[],[f1025,f726]) ).
fof(f1025,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl42_90 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1023,plain,
( spl42_90
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).
fof(f5207,plain,
( ~ spl42_30
| spl42_89
| ~ spl42_98
| ~ spl42_145
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f5206]) ).
fof(f5206,plain,
( $false
| ~ spl42_30
| spl42_89
| ~ spl42_98
| ~ spl42_145
| ~ spl42_241 ),
inference(subsumption_resolution,[],[f5205,f1262]) ).
fof(f1262,plain,
( e23 = op2(e23,e20)
| ~ spl42_145 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1260,plain,
( spl42_145
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_145])]) ).
fof(f5205,plain,
( e23 != op2(e23,e20)
| ~ spl42_30
| spl42_89
| ~ spl42_98
| ~ spl42_241 ),
inference(forward_demodulation,[],[f5204,f1057]) ).
fof(f5204,plain,
( op2(e23,e20) != h3(e12)
| ~ spl42_30
| spl42_89
| ~ spl42_98
| ~ spl42_241 ),
inference(forward_demodulation,[],[f5203,f1704]) ).
fof(f5203,plain,
( op2(e23,e20) != h3(op1(e12,e10))
| ~ spl42_30
| spl42_89
| ~ spl42_98 ),
inference(forward_demodulation,[],[f5202,f1057]) ).
fof(f5202,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl42_30
| spl42_89 ),
inference(forward_demodulation,[],[f1021,f755]) ).
fof(f1021,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl42_89 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1019,plain,
( spl42_89
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_89])]) ).
fof(f5197,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_88
| ~ spl42_98
| ~ spl42_170
| ~ spl42_213 ),
inference(avatar_contradiction_clause,[],[f5196]) ).
fof(f5196,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_88
| ~ spl42_98
| ~ spl42_170
| ~ spl42_213 ),
inference(subsumption_resolution,[],[f5195,f1369]) ).
fof(f1369,plain,
( e23 = op2(e21,e22)
| ~ spl42_170 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1367,plain,
( spl42_170
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).
fof(f5195,plain,
( e23 != op2(e21,e22)
| ~ spl42_17
| ~ spl42_24
| spl42_88
| ~ spl42_98
| ~ spl42_213 ),
inference(forward_demodulation,[],[f5194,f1057]) ).
fof(f5194,plain,
( op2(e21,e22) != h3(e12)
| ~ spl42_17
| ~ spl42_24
| spl42_88
| ~ spl42_213 ),
inference(forward_demodulation,[],[f5193,f1583]) ).
fof(f1583,plain,
( e12 = op1(e11,e13)
| ~ spl42_213 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1581,plain,
( spl42_213
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).
fof(f5193,plain,
( op2(e21,e22) != h3(op1(e11,e13))
| ~ spl42_17
| ~ spl42_24
| spl42_88 ),
inference(forward_demodulation,[],[f5192,f726]) ).
fof(f5192,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| ~ spl42_17
| spl42_88 ),
inference(forward_demodulation,[],[f1017,f692]) ).
fof(f1017,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl42_88 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1015,plain,
( spl42_88
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_88])]) ).
fof(f5188,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_87
| ~ spl42_98
| ~ spl42_149
| ~ spl42_234 ),
inference(avatar_contradiction_clause,[],[f5187]) ).
fof(f5187,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_87
| ~ spl42_98
| ~ spl42_149
| ~ spl42_234 ),
inference(subsumption_resolution,[],[f5186,f1279]) ).
fof(f1279,plain,
( e22 = op2(e21,e23)
| ~ spl42_149 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1277,plain,
( spl42_149
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).
fof(f5186,plain,
( e22 != op2(e21,e23)
| ~ spl42_17
| ~ spl42_24
| spl42_87
| ~ spl42_98
| ~ spl42_234 ),
inference(forward_demodulation,[],[f5185,f692]) ).
fof(f5185,plain,
( op2(e21,e23) != h3(e13)
| ~ spl42_24
| spl42_87
| ~ spl42_98
| ~ spl42_234 ),
inference(forward_demodulation,[],[f5184,f1673]) ).
fof(f1673,plain,
( e13 = op1(e11,e12)
| ~ spl42_234 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f1671,plain,
( spl42_234
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_234])]) ).
fof(f5184,plain,
( op2(e21,e23) != h3(op1(e11,e12))
| ~ spl42_24
| spl42_87
| ~ spl42_98 ),
inference(forward_demodulation,[],[f5183,f726]) ).
fof(f5183,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e23)
| spl42_87
| ~ spl42_98 ),
inference(forward_demodulation,[],[f1013,f1057]) ).
fof(f1013,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl42_87 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1011,plain,
( spl42_87
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_87])]) ).
fof(f5178,plain,
( ~ spl42_24
| spl42_86
| ~ spl42_196
| ~ spl42_260 ),
inference(avatar_contradiction_clause,[],[f5177]) ).
fof(f5177,plain,
( $false
| ~ spl42_24
| spl42_86
| ~ spl42_196
| ~ spl42_260 ),
inference(subsumption_resolution,[],[f5176,f1485]) ).
fof(f1485,plain,
( e21 = op2(e21,e21)
| ~ spl42_196 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1483,plain,
( spl42_196
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_196])]) ).
fof(f5176,plain,
( e21 != op2(e21,e21)
| ~ spl42_24
| spl42_86
| ~ spl42_260 ),
inference(forward_demodulation,[],[f5175,f726]) ).
fof(f5175,plain,
( op2(e21,e21) != h3(e11)
| ~ spl42_24
| spl42_86
| ~ spl42_260 ),
inference(forward_demodulation,[],[f5174,f1789]) ).
fof(f1789,plain,
( e11 = op1(e11,e11)
| ~ spl42_260 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f1787,plain,
( spl42_260
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_260])]) ).
fof(f5174,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl42_24
| spl42_86 ),
inference(forward_demodulation,[],[f1009,f726]) ).
fof(f1009,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl42_86 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1007,plain,
( spl42_86
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).
fof(f5169,plain,
( ~ spl42_24
| ~ spl42_30
| spl42_85
| ~ spl42_200
| ~ spl42_264 ),
inference(avatar_contradiction_clause,[],[f5168]) ).
fof(f5168,plain,
( $false
| ~ spl42_24
| ~ spl42_30
| spl42_85
| ~ spl42_200
| ~ spl42_264 ),
inference(subsumption_resolution,[],[f5167,f1504]) ).
fof(f1504,plain,
( e20 = op2(e21,e20)
| ~ spl42_200 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f1502,plain,
( spl42_200
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_200])]) ).
fof(f5167,plain,
( e20 != op2(e21,e20)
| ~ spl42_24
| ~ spl42_30
| spl42_85
| ~ spl42_264 ),
inference(forward_demodulation,[],[f5166,f755]) ).
fof(f5166,plain,
( op2(e21,e20) != h3(e10)
| ~ spl42_24
| ~ spl42_30
| spl42_85
| ~ spl42_264 ),
inference(forward_demodulation,[],[f5165,f1808]) ).
fof(f1808,plain,
( e10 = op1(e11,e10)
| ~ spl42_264 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f1806,plain,
( spl42_264
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_264])]) ).
fof(f5165,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl42_24
| ~ spl42_30
| spl42_85 ),
inference(forward_demodulation,[],[f5164,f726]) ).
fof(f5164,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl42_30
| spl42_85 ),
inference(forward_demodulation,[],[f1005,f755]) ).
fof(f1005,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl42_85 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1003,plain,
( spl42_85
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).
fof(f5159,plain,
( ~ spl42_17
| ~ spl42_30
| spl42_84
| ~ spl42_174
| ~ spl42_205 ),
inference(avatar_contradiction_clause,[],[f5158]) ).
fof(f5158,plain,
( $false
| ~ spl42_17
| ~ spl42_30
| spl42_84
| ~ spl42_174
| ~ spl42_205 ),
inference(subsumption_resolution,[],[f5157,f1387]) ).
fof(f1387,plain,
( e22 = op2(e20,e22)
| ~ spl42_174 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1385,plain,
( spl42_174
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_174])]) ).
fof(f5157,plain,
( e22 != op2(e20,e22)
| ~ spl42_17
| ~ spl42_30
| spl42_84
| ~ spl42_205 ),
inference(forward_demodulation,[],[f5156,f692]) ).
fof(f5156,plain,
( op2(e20,e22) != h3(e13)
| ~ spl42_17
| ~ spl42_30
| spl42_84
| ~ spl42_205 ),
inference(forward_demodulation,[],[f5155,f1549]) ).
fof(f5155,plain,
( op2(e20,e22) != h3(op1(e10,e13))
| ~ spl42_17
| ~ spl42_30
| spl42_84 ),
inference(forward_demodulation,[],[f5154,f755]) ).
fof(f5154,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| ~ spl42_17
| spl42_84 ),
inference(forward_demodulation,[],[f1001,f692]) ).
fof(f1001,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl42_84 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f999,plain,
( spl42_84
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).
fof(f5149,plain,
( ~ spl42_30
| spl42_83
| ~ spl42_98
| ~ spl42_141
| ~ spl42_238 ),
inference(avatar_contradiction_clause,[],[f5148]) ).
fof(f5148,plain,
( $false
| ~ spl42_30
| spl42_83
| ~ spl42_98
| ~ spl42_141
| ~ spl42_238 ),
inference(subsumption_resolution,[],[f5147,f1245]) ).
fof(f1245,plain,
( e23 = op2(e20,e23)
| ~ spl42_141 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1243,plain,
( spl42_141
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_141])]) ).
fof(f5147,plain,
( e23 != op2(e20,e23)
| ~ spl42_30
| spl42_83
| ~ spl42_98
| ~ spl42_238 ),
inference(forward_demodulation,[],[f5146,f1057]) ).
fof(f5146,plain,
( op2(e20,e23) != h3(e12)
| ~ spl42_30
| spl42_83
| ~ spl42_98
| ~ spl42_238 ),
inference(forward_demodulation,[],[f5145,f1691]) ).
fof(f5145,plain,
( op2(e20,e23) != h3(op1(e10,e12))
| ~ spl42_30
| spl42_83
| ~ spl42_98 ),
inference(forward_demodulation,[],[f5144,f755]) ).
fof(f5144,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e23)
| spl42_83
| ~ spl42_98 ),
inference(forward_demodulation,[],[f997,f1057]) ).
fof(f997,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl42_83 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f995,plain,
( spl42_83
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_83])]) ).
fof(f5140,plain,
( ~ spl42_24
| ~ spl42_30
| spl42_82
| ~ spl42_198
| ~ spl42_262 ),
inference(avatar_contradiction_clause,[],[f5139]) ).
fof(f5139,plain,
( $false
| ~ spl42_24
| ~ spl42_30
| spl42_82
| ~ spl42_198
| ~ spl42_262 ),
inference(subsumption_resolution,[],[f5138,f1495]) ).
fof(f5138,plain,
( e20 != op2(e20,e21)
| ~ spl42_24
| ~ spl42_30
| spl42_82
| ~ spl42_262 ),
inference(forward_demodulation,[],[f5137,f755]) ).
fof(f5137,plain,
( op2(e20,e21) != h3(e10)
| ~ spl42_24
| ~ spl42_30
| spl42_82
| ~ spl42_262 ),
inference(forward_demodulation,[],[f5136,f1799]) ).
fof(f1799,plain,
( e10 = op1(e10,e11)
| ~ spl42_262 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f1797,plain,
( spl42_262
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_262])]) ).
fof(f5136,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl42_24
| ~ spl42_30
| spl42_82 ),
inference(forward_demodulation,[],[f5135,f755]) ).
fof(f5135,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl42_24
| spl42_82 ),
inference(forward_demodulation,[],[f993,f726]) ).
fof(f993,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl42_82 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f991,plain,
( spl42_82
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).
fof(f5134,plain,
( ~ spl42_24
| ~ spl42_30
| spl42_81
| ~ spl42_203
| ~ spl42_267 ),
inference(avatar_contradiction_clause,[],[f5133]) ).
fof(f5133,plain,
( $false
| ~ spl42_24
| ~ spl42_30
| spl42_81
| ~ spl42_203
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f5132,f1521]) ).
fof(f5132,plain,
( op2(e20,e20) != e21
| ~ spl42_24
| ~ spl42_30
| spl42_81
| ~ spl42_267 ),
inference(forward_demodulation,[],[f5131,f726]) ).
fof(f5131,plain,
( op2(e20,e20) != h3(e11)
| ~ spl42_30
| spl42_81
| ~ spl42_267 ),
inference(forward_demodulation,[],[f5130,f1825]) ).
fof(f1825,plain,
( op1(e10,e10) = e11
| ~ spl42_267 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1823,plain,
( spl42_267
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_267])]) ).
fof(f5130,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl42_30
| spl42_81 ),
inference(superposition,[],[f989,f755]) ).
fof(f989,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl42_81 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f987,plain,
( spl42_81
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_81])]) ).
fof(f5129,plain,
( spl42_30
| ~ spl42_168
| ~ spl42_173
| ~ spl42_181 ),
inference(avatar_split_clause,[],[f5128,f1415,f1380,f1358,f754]) ).
fof(f5128,plain,
( e20 = h3(e10)
| ~ spl42_168
| ~ spl42_173
| ~ spl42_181 ),
inference(forward_demodulation,[],[f5127,f1360]) ).
fof(f5127,plain,
( op2(e23,e22) = h3(e10)
| ~ spl42_173
| ~ spl42_181 ),
inference(forward_demodulation,[],[f5126,f1382]) ).
fof(f5126,plain,
( h3(e10) = op2(op2(e22,e21),e22)
| ~ spl42_181 ),
inference(forward_demodulation,[],[f205,f1417]) ).
fof(f205,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,op2(e22,e22)) = h3(e12)
& op2(e22,e22) = h3(e11)
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& e22 = h3(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4956,plain,
( spl42_98
| ~ spl42_173
| ~ spl42_181 ),
inference(avatar_split_clause,[],[f4955,f1415,f1380,f1056]) ).
fof(f4955,plain,
( e23 = h3(e12)
| ~ spl42_173
| ~ spl42_181 ),
inference(forward_demodulation,[],[f4954,f1382]) ).
fof(f4954,plain,
( op2(e22,e21) = h3(e12)
| ~ spl42_181 ),
inference(forward_demodulation,[],[f207,f1417]) ).
fof(f207,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f4941,plain,
( ~ spl42_213
| spl42_244
| ~ spl42_316 ),
inference(avatar_contradiction_clause,[],[f4940]) ).
fof(f4940,plain,
( $false
| ~ spl42_213
| spl42_244
| ~ spl42_316 ),
inference(subsumption_resolution,[],[f4939,f1716]) ).
fof(f1716,plain,
( e11 != op1(e11,e12)
| spl42_244 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1715,plain,
( spl42_244
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_244])]) ).
fof(f4939,plain,
( e11 = op1(e11,e12)
| ~ spl42_213
| ~ spl42_316 ),
inference(forward_demodulation,[],[f2237,f1583]) ).
fof(f2237,plain,
( e11 = op1(e11,op1(e11,e13))
| ~ spl42_316 ),
inference(avatar_component_clause,[],[f2235]) ).
fof(f2235,plain,
( spl42_316
<=> e11 = op1(e11,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_316])]) ).
fof(f4894,plain,
( ~ spl42_255
| ~ spl42_264 ),
inference(avatar_contradiction_clause,[],[f4893]) ).
fof(f4893,plain,
( $false
| ~ spl42_255
| ~ spl42_264 ),
inference(subsumption_resolution,[],[f4889,f196]) ).
fof(f196,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4889,plain,
( e10 = e13
| ~ spl42_255
| ~ spl42_264 ),
inference(superposition,[],[f1766,f1808]) ).
fof(f1766,plain,
( e13 = op1(e11,e10)
| ~ spl42_255 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1764,plain,
( spl42_255
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_255])]) ).
fof(f4867,plain,
( ~ spl42_237
| ~ spl42_247 ),
inference(avatar_contradiction_clause,[],[f4866]) ).
fof(f4866,plain,
( $false
| ~ spl42_237
| ~ spl42_247 ),
inference(subsumption_resolution,[],[f4865,f198]) ).
fof(f198,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4865,plain,
( e11 = e13
| ~ spl42_237
| ~ spl42_247 ),
inference(forward_demodulation,[],[f1686,f1730]) ).
fof(f1730,plain,
( e11 = op1(e12,e11)
| ~ spl42_247 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1728,plain,
( spl42_247
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_247])]) ).
fof(f4861,plain,
( ~ spl42_254
| ~ spl42_263 ),
inference(avatar_contradiction_clause,[],[f4860]) ).
fof(f4860,plain,
( $false
| ~ spl42_254
| ~ spl42_263 ),
inference(subsumption_resolution,[],[f4856,f196]) ).
fof(f4856,plain,
( e10 = e13
| ~ spl42_254
| ~ spl42_263 ),
inference(superposition,[],[f1761,f1803]) ).
fof(f1803,plain,
( e10 = op1(e11,e11)
| ~ spl42_263 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f1801,plain,
( spl42_263
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_263])]) ).
fof(f1761,plain,
( e13 = op1(e11,e11)
| ~ spl42_254 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1759,plain,
( spl42_254
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_254])]) ).
fof(f4814,plain,
( ~ spl42_242
| ~ spl42_217 ),
inference(avatar_split_clause,[],[f4614,f1598,f1706]) ).
fof(f1706,plain,
( spl42_242
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_242])]) ).
fof(f4614,plain,
( e12 != op1(e12,e11)
| ~ spl42_217 ),
inference(forward_demodulation,[],[f227,f1600]) ).
fof(f227,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4812,plain,
( ~ spl42_267
| ~ spl42_268 ),
inference(avatar_contradiction_clause,[],[f4811]) ).
fof(f4811,plain,
( $false
| ~ spl42_267
| ~ spl42_268 ),
inference(subsumption_resolution,[],[f4806,f194]) ).
fof(f194,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f4806,plain,
( e10 = e11
| ~ spl42_267
| ~ spl42_268 ),
inference(superposition,[],[f1825,f1831]) ).
fof(f1831,plain,
( e10 = op1(e10,e10)
| ~ spl42_268 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f1829,plain,
( spl42_268
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_268])]) ).
fof(f4765,plain,
( ~ spl42_268
| ~ spl42_230 ),
inference(avatar_split_clause,[],[f4764,f1654,f1829]) ).
fof(f1654,plain,
( spl42_230
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_230])]) ).
fof(f4764,plain,
( e10 != op1(e10,e10)
| ~ spl42_230 ),
inference(forward_demodulation,[],[f218,f1656]) ).
fof(f1656,plain,
( e10 = op1(e13,e10)
| ~ spl42_230 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f218,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4752,plain,
( spl42_242
| ~ spl42_245
| ~ spl42_321 ),
inference(avatar_contradiction_clause,[],[f4751]) ).
fof(f4751,plain,
( $false
| spl42_242
| ~ spl42_245
| ~ spl42_321 ),
inference(subsumption_resolution,[],[f4750,f1707]) ).
fof(f1707,plain,
( e12 != op1(e12,e11)
| spl42_242 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f4750,plain,
( e12 = op1(e12,e11)
| ~ spl42_245
| ~ spl42_321 ),
inference(forward_demodulation,[],[f2258,f1721]) ).
fof(f2258,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl42_321 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2256,plain,
( spl42_321
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_321])]) ).
fof(f4743,plain,
( ~ spl42_211
| ~ spl42_222
| ~ spl42_322 ),
inference(avatar_contradiction_clause,[],[f4742]) ).
fof(f4742,plain,
( $false
| ~ spl42_211
| ~ spl42_222
| ~ spl42_322 ),
inference(subsumption_resolution,[],[f4741,f198]) ).
fof(f4741,plain,
( e11 = e13
| ~ spl42_211
| ~ spl42_222
| ~ spl42_322 ),
inference(forward_demodulation,[],[f4740,f1621]) ).
fof(f4740,plain,
( e13 = op1(e13,e13)
| ~ spl42_211
| ~ spl42_322 ),
inference(forward_demodulation,[],[f2262,f1574]) ).
fof(f1574,plain,
( e13 = op1(e13,e12)
| ~ spl42_211 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1572,plain,
( spl42_211
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_211])]) ).
fof(f2262,plain,
( e13 = op1(e13,op1(e13,e12))
| ~ spl42_322 ),
inference(avatar_component_clause,[],[f2260]) ).
fof(f2260,plain,
( spl42_322
<=> e13 = op1(e13,op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_322])]) ).
fof(f4705,plain,
( spl42_211
| ~ spl42_217
| ~ spl42_326 ),
inference(avatar_split_clause,[],[f4704,f2277,f1598,f1572]) ).
fof(f2277,plain,
( spl42_326
<=> e13 = op1(e13,op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_326])]) ).
fof(f4704,plain,
( e13 = op1(e13,e12)
| ~ spl42_217
| ~ spl42_326 ),
inference(forward_demodulation,[],[f2279,f1600]) ).
fof(f2279,plain,
( e13 = op1(e13,op1(e13,e11))
| ~ spl42_326 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f4701,plain,
( ~ spl42_256
| ~ spl42_217 ),
inference(avatar_split_clause,[],[f4610,f1598,f1769]) ).
fof(f1769,plain,
( spl42_256
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_256])]) ).
fof(f4610,plain,
( e12 != op1(e10,e11)
| ~ spl42_217 ),
inference(forward_demodulation,[],[f224,f1600]) ).
fof(f224,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4688,plain,
( spl42_220
| ~ spl42_254
| ~ spl42_324 ),
inference(avatar_contradiction_clause,[],[f4687]) ).
fof(f4687,plain,
( $false
| spl42_220
| ~ spl42_254
| ~ spl42_324 ),
inference(subsumption_resolution,[],[f4686,f1612]) ).
fof(f1612,plain,
( e11 != op1(e11,e13)
| spl42_220 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1611,plain,
( spl42_220
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).
fof(f4686,plain,
( e11 = op1(e11,e13)
| ~ spl42_254
| ~ spl42_324 ),
inference(forward_demodulation,[],[f2271,f1761]) ).
fof(f2271,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl42_324 ),
inference(avatar_component_clause,[],[f2269]) ).
fof(f2269,plain,
( spl42_324
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_324])]) ).
fof(f4679,plain,
( spl42_242
| ~ spl42_247
| ~ spl42_325 ),
inference(avatar_contradiction_clause,[],[f4678]) ).
fof(f4678,plain,
( $false
| spl42_242
| ~ spl42_247
| ~ spl42_325 ),
inference(subsumption_resolution,[],[f4677,f1707]) ).
fof(f4677,plain,
( e12 = op1(e12,e11)
| ~ spl42_247
| ~ spl42_325 ),
inference(forward_demodulation,[],[f2275,f1730]) ).
fof(f2275,plain,
( e12 = op1(e12,op1(e12,e11))
| ~ spl42_325 ),
inference(avatar_component_clause,[],[f2273]) ).
fof(f2273,plain,
( spl42_325
<=> e12 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_325])]) ).
fof(f4676,plain,
( ~ spl42_262
| spl42_268
| ~ spl42_323 ),
inference(avatar_contradiction_clause,[],[f4675]) ).
fof(f4675,plain,
( $false
| ~ spl42_262
| spl42_268
| ~ spl42_323 ),
inference(subsumption_resolution,[],[f4674,f1830]) ).
fof(f1830,plain,
( e10 != op1(e10,e10)
| spl42_268 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f4674,plain,
( e10 = op1(e10,e10)
| ~ spl42_262
| ~ spl42_323 ),
inference(forward_demodulation,[],[f2267,f1799]) ).
fof(f2267,plain,
( e10 = op1(e10,op1(e10,e11))
| ~ spl42_323 ),
inference(avatar_component_clause,[],[f2265]) ).
fof(f2265,plain,
( spl42_323
<=> e10 = op1(e10,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_323])]) ).
fof(f4648,plain,
( ~ spl42_205
| spl42_226
| ~ spl42_315 ),
inference(avatar_contradiction_clause,[],[f4647]) ).
fof(f4647,plain,
( $false
| ~ spl42_205
| spl42_226
| ~ spl42_315 ),
inference(subsumption_resolution,[],[f4646,f1638]) ).
fof(f1638,plain,
( e10 != op1(e10,e13)
| spl42_226 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1637,plain,
( spl42_226
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_226])]) ).
fof(f4646,plain,
( e10 = op1(e10,e13)
| ~ spl42_205
| ~ spl42_315 ),
inference(forward_demodulation,[],[f2233,f1549]) ).
fof(f2233,plain,
( e10 = op1(e10,op1(e10,e13))
| ~ spl42_315 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f2231,plain,
( spl42_315
<=> e10 = op1(e10,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_315])]) ).
fof(f4544,plain,
( ~ spl42_223
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f3619,f1619,f1624]) ).
fof(f1624,plain,
( spl42_223
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_223])]) ).
fof(f3619,plain,
( e11 != op1(e13,e10)
| ~ spl42_222 ),
inference(forward_demodulation,[],[f260,f1621]) ).
fof(f260,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4543,plain,
( spl42_217
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f3766,f1619,f1598]) ).
fof(f3766,plain,
( e12 = op1(e13,e11)
| ~ spl42_222 ),
inference(forward_demodulation,[],[f317,f1621]) ).
fof(f317,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f4531,plain,
( ~ spl42_257
| ~ spl42_217 ),
inference(avatar_split_clause,[],[f3581,f1598,f1773]) ).
fof(f1773,plain,
( spl42_257
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_257])]) ).
fof(f3581,plain,
( e12 != op1(e11,e11)
| ~ spl42_217 ),
inference(forward_demodulation,[],[f226,f1600]) ).
fof(f226,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4528,plain,
( ~ spl42_205
| ~ spl42_206 ),
inference(avatar_split_clause,[],[f3590,f1551,f1547]) ).
fof(f1551,plain,
( spl42_206
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_206])]) ).
fof(f3590,plain,
( e13 != op1(e10,e13)
| ~ spl42_206 ),
inference(forward_demodulation,[],[f234,f1553]) ).
fof(f1553,plain,
( e13 = op1(e11,e13)
| ~ spl42_206 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f234,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4527,plain,
( ~ spl42_205
| ~ spl42_253 ),
inference(avatar_split_clause,[],[f4526,f1755,f1547]) ).
fof(f1755,plain,
( spl42_253
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_253])]) ).
fof(f4526,plain,
( e13 != op1(e10,e13)
| ~ spl42_253 ),
inference(forward_demodulation,[],[f244,f1757]) ).
fof(f1757,plain,
( e13 = op1(e10,e11)
| ~ spl42_253 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f244,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4525,plain,
( ~ spl42_212
| ~ spl42_238 ),
inference(avatar_split_clause,[],[f4524,f1689,f1577]) ).
fof(f1577,plain,
( spl42_212
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_212])]) ).
fof(f4524,plain,
( e12 != op1(e10,e13)
| ~ spl42_238 ),
inference(forward_demodulation,[],[f245,f1691]) ).
fof(f245,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4522,plain,
( ~ spl42_228
| ~ spl42_252 ),
inference(avatar_split_clause,[],[f4521,f1750,f1645]) ).
fof(f1750,plain,
( spl42_252
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_252])]) ).
fof(f4521,plain,
( e10 != op1(e12,e13)
| ~ spl42_252 ),
inference(forward_demodulation,[],[f256,f1752]) ).
fof(f1752,plain,
( e10 = op1(e12,e11)
| ~ spl42_252 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f256,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4509,plain,
( ~ spl42_217
| ~ spl42_222
| ~ spl42_318 ),
inference(avatar_contradiction_clause,[],[f4508]) ).
fof(f4508,plain,
( $false
| ~ spl42_217
| ~ spl42_222
| ~ spl42_318 ),
inference(subsumption_resolution,[],[f4507,f199]) ).
fof(f199,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4507,plain,
( e12 = e13
| ~ spl42_217
| ~ spl42_222
| ~ spl42_318 ),
inference(forward_demodulation,[],[f4506,f1600]) ).
fof(f4506,plain,
( e13 = op1(e13,e11)
| ~ spl42_222
| ~ spl42_318 ),
inference(forward_demodulation,[],[f2245,f1621]) ).
fof(f2245,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ spl42_318 ),
inference(avatar_component_clause,[],[f2243]) ).
fof(f2243,plain,
( spl42_318
<=> e13 = op1(e13,op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_318])]) ).
fof(f4454,plain,
( ~ spl42_174
| spl42_184
| ~ spl42_288 ),
inference(avatar_contradiction_clause,[],[f4453]) ).
fof(f4453,plain,
( $false
| ~ spl42_174
| spl42_184
| ~ spl42_288 ),
inference(subsumption_resolution,[],[f4452,f1430]) ).
fof(f1430,plain,
( e20 != op2(e20,e22)
| spl42_184 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1429,plain,
( spl42_184
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).
fof(f4452,plain,
( e20 = op2(e20,e22)
| ~ spl42_174
| ~ spl42_288 ),
inference(forward_demodulation,[],[f2026,f1387]) ).
fof(f2026,plain,
( e20 = op2(e20,op2(e20,e22))
| ~ spl42_288 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2024,plain,
( spl42_288
<=> e20 = op2(e20,op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_288])]) ).
fof(f4450,plain,
( ~ spl42_185
| spl42_197
| ~ spl42_289 ),
inference(avatar_contradiction_clause,[],[f4449]) ).
fof(f4449,plain,
( $false
| ~ spl42_185
| spl42_197
| ~ spl42_289 ),
inference(subsumption_resolution,[],[f4448,f1489]) ).
fof(f1489,plain,
( e21 != op2(e21,e20)
| spl42_197 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f4448,plain,
( e21 = op2(e21,e20)
| ~ spl42_185
| ~ spl42_289 ),
inference(forward_demodulation,[],[f2030,f1435]) ).
fof(f1435,plain,
( e20 = op2(e21,e22)
| ~ spl42_185 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1433,plain,
( spl42_185
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_185])]) ).
fof(f2030,plain,
( e21 = op2(e21,op2(e21,e22))
| ~ spl42_289 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2028,plain,
( spl42_289
<=> e21 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_289])]) ).
fof(f4405,plain,
( ~ spl42_201
| ~ spl42_203 ),
inference(avatar_contradiction_clause,[],[f4404]) ).
fof(f4404,plain,
( $false
| ~ spl42_201
| ~ spl42_203 ),
inference(subsumption_resolution,[],[f4403,f176]) ).
fof(f176,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f4403,plain,
( e21 = e23
| ~ spl42_201
| ~ spl42_203 ),
inference(forward_demodulation,[],[f1509,f1521]) ).
fof(f1509,plain,
( op2(e20,e20) = e23
| ~ spl42_201 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1507,plain,
( spl42_201
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_201])]) ).
fof(f4395,plain,
( ~ spl42_177
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f4394,f1474,f1398]) ).
fof(f1474,plain,
( spl42_194
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).
fof(f4394,plain,
( e22 != op2(e22,e20)
| ~ spl42_194 ),
inference(forward_demodulation,[],[f267,f1476]) ).
fof(f1476,plain,
( e22 = op2(e21,e20)
| ~ spl42_194 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f267,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4392,plain,
( ~ spl42_148
| ~ spl42_174 ),
inference(avatar_split_clause,[],[f4391,f1385,f1273]) ).
fof(f1273,plain,
( spl42_148
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_148])]) ).
fof(f4391,plain,
( e22 != op2(e20,e23)
| ~ spl42_174 ),
inference(forward_demodulation,[],[f293,f1387]) ).
fof(f293,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4305,plain,
( spl42_184
| ~ spl42_148
| ~ spl42_284 ),
inference(avatar_split_clause,[],[f4304,f2007,f1273,f1429]) ).
fof(f2007,plain,
( spl42_284
<=> e20 = op2(e20,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_284])]) ).
fof(f4304,plain,
( e20 = op2(e20,e22)
| ~ spl42_148
| ~ spl42_284 ),
inference(forward_demodulation,[],[f2009,f1275]) ).
fof(f1275,plain,
( e22 = op2(e20,e23)
| ~ spl42_148 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f2009,plain,
( e20 = op2(e20,op2(e20,e23))
| ~ spl42_284 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f4302,plain,
( ~ spl42_204
| ~ spl42_166 ),
inference(avatar_split_clause,[],[f3956,f1350,f1525]) ).
fof(f1350,plain,
( spl42_166
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_166])]) ).
fof(f3956,plain,
( e20 != op2(e20,e20)
| ~ spl42_166 ),
inference(forward_demodulation,[],[f266,f1352]) ).
fof(f1352,plain,
( e20 = op2(e23,e20)
| ~ spl42_166 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f266,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4133,plain,
( ~ spl42_156
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f3649,f1315,f1307]) ).
fof(f1307,plain,
( spl42_156
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).
fof(f3649,plain,
( e21 != op2(e21,e23)
| ~ spl42_158 ),
inference(forward_demodulation,[],[f286,f1317]) ).
fof(f286,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4028,plain,
( ~ spl42_19
| ~ spl42_24 ),
inference(avatar_contradiction_clause,[],[f4027]) ).
fof(f4027,plain,
( $false
| ~ spl42_19
| ~ spl42_24 ),
inference(subsumption_resolution,[],[f4026,f175]) ).
fof(f175,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f4026,plain,
( e21 = e22
| ~ spl42_19
| ~ spl42_24 ),
inference(forward_demodulation,[],[f702,f726]) ).
fof(f702,plain,
( e22 = h3(e11)
| ~ spl42_19 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f701,plain,
( spl42_19
<=> e22 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_19])]) ).
fof(f4003,plain,
( ~ spl42_155
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f3647,f1315,f1303]) ).
fof(f1303,plain,
( spl42_155
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).
fof(f3647,plain,
( e21 != op2(e20,e23)
| ~ spl42_158 ),
inference(forward_demodulation,[],[f284,f1317]) ).
fof(f284,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3998,plain,
( ~ spl42_147
| ~ spl42_158
| ~ spl42_291 ),
inference(avatar_contradiction_clause,[],[f3997]) ).
fof(f3997,plain,
( $false
| ~ spl42_147
| ~ spl42_158
| ~ spl42_291 ),
inference(subsumption_resolution,[],[f3996,f176]) ).
fof(f3996,plain,
( e21 = e23
| ~ spl42_147
| ~ spl42_158
| ~ spl42_291 ),
inference(forward_demodulation,[],[f3995,f1317]) ).
fof(f3995,plain,
( e23 = op2(e23,e23)
| ~ spl42_147
| ~ spl42_291 ),
inference(forward_demodulation,[],[f2038,f1270]) ).
fof(f1270,plain,
( e23 = op2(e23,e22)
| ~ spl42_147 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1268,plain,
( spl42_147
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).
fof(f2038,plain,
( e23 = op2(e23,op2(e23,e22))
| ~ spl42_291 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f2036,plain,
( spl42_291
<=> e23 = op2(e23,op2(e23,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_291])]) ).
fof(f3989,plain,
( spl42_178
| ~ spl42_181
| ~ spl42_290 ),
inference(avatar_contradiction_clause,[],[f3988]) ).
fof(f3988,plain,
( $false
| spl42_178
| ~ spl42_181
| ~ spl42_290 ),
inference(subsumption_resolution,[],[f3987,f1403]) ).
fof(f1403,plain,
( e22 != op2(e22,e21)
| spl42_178 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1402,plain,
( spl42_178
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).
fof(f3987,plain,
( e22 = op2(e22,e21)
| ~ spl42_181
| ~ spl42_290 ),
inference(forward_demodulation,[],[f2034,f1417]) ).
fof(f2034,plain,
( e22 = op2(e22,op2(e22,e22))
| ~ spl42_290 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f2032,plain,
( spl42_290
<=> e22 = op2(e22,op2(e22,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_290])]) ).
fof(f3949,plain,
( spl42_24
| ~ spl42_181 ),
inference(avatar_split_clause,[],[f3948,f1415,f725]) ).
fof(f3948,plain,
( e21 = h3(e11)
| ~ spl42_181 ),
inference(forward_demodulation,[],[f206,f1417]) ).
fof(f206,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f3896,plain,
( ~ spl42_177
| ~ spl42_187 ),
inference(avatar_contradiction_clause,[],[f3895]) ).
fof(f3895,plain,
( $false
| ~ spl42_177
| ~ spl42_187 ),
inference(subsumption_resolution,[],[f3894,f173]) ).
fof(f173,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3894,plain,
( e20 = e22
| ~ spl42_177
| ~ spl42_187 ),
inference(forward_demodulation,[],[f1400,f1444]) ).
fof(f1444,plain,
( e20 = op2(e22,e20)
| ~ spl42_187 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1442,plain,
( spl42_187
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).
fof(f1400,plain,
( e22 = op2(e22,e20)
| ~ spl42_177 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f3889,plain,
( ~ spl42_192
| ~ spl42_153 ),
inference(avatar_split_clause,[],[f3750,f1294,f1465]) ).
fof(f1465,plain,
( spl42_192
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_192])]) ).
fof(f3750,plain,
( e22 != op2(e20,e21)
| ~ spl42_153 ),
inference(forward_demodulation,[],[f272,f1296]) ).
fof(f272,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3880,plain,
( ~ spl42_166
| ~ spl42_187 ),
inference(avatar_split_clause,[],[f3879,f1442,f1350]) ).
fof(f3879,plain,
( e20 != op2(e23,e20)
| ~ spl42_187 ),
inference(forward_demodulation,[],[f269,f1444]) ).
fof(f269,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3876,plain,
( spl42_147
| ~ spl42_153
| ~ spl42_295 ),
inference(avatar_contradiction_clause,[],[f3875]) ).
fof(f3875,plain,
( $false
| spl42_147
| ~ spl42_153
| ~ spl42_295 ),
inference(subsumption_resolution,[],[f3874,f1269]) ).
fof(f1269,plain,
( e23 != op2(e23,e22)
| spl42_147 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f3874,plain,
( e23 = op2(e23,e22)
| ~ spl42_153
| ~ spl42_295 ),
inference(forward_demodulation,[],[f2055,f1296]) ).
fof(f2055,plain,
( e23 = op2(e23,op2(e23,e21))
| ~ spl42_295 ),
inference(avatar_component_clause,[],[f2053]) ).
fof(f2053,plain,
( spl42_295
<=> e23 = op2(e23,op2(e23,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_295])]) ).
fof(f3872,plain,
( spl42_178
| ~ spl42_183
| ~ spl42_294 ),
inference(avatar_contradiction_clause,[],[f3871]) ).
fof(f3871,plain,
( $false
| spl42_178
| ~ spl42_183
| ~ spl42_294 ),
inference(subsumption_resolution,[],[f3870,f1403]) ).
fof(f3870,plain,
( e22 = op2(e22,e21)
| ~ spl42_183
| ~ spl42_294 ),
inference(forward_demodulation,[],[f2051,f1426]) ).
fof(f1426,plain,
( e21 = op2(e22,e21)
| ~ spl42_183 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1424,plain,
( spl42_183
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_183])]) ).
fof(f2051,plain,
( e22 = op2(e22,op2(e22,e21))
| ~ spl42_294 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2049,plain,
( spl42_294
<=> e22 = op2(e22,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_294])]) ).
fof(f3868,plain,
( spl42_156
| ~ spl42_190
| ~ spl42_293 ),
inference(avatar_contradiction_clause,[],[f3867]) ).
fof(f3867,plain,
( $false
| spl42_156
| ~ spl42_190
| ~ spl42_293 ),
inference(subsumption_resolution,[],[f3866,f1308]) ).
fof(f1308,plain,
( e21 != op2(e21,e23)
| spl42_156 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f3866,plain,
( e21 = op2(e21,e23)
| ~ spl42_190
| ~ spl42_293 ),
inference(forward_demodulation,[],[f2047,f1457]) ).
fof(f1457,plain,
( e23 = op2(e21,e21)
| ~ spl42_190 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1455,plain,
( spl42_190
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).
fof(f2047,plain,
( e21 = op2(e21,op2(e21,e21))
| ~ spl42_293 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f2045,plain,
( spl42_293
<=> e21 = op2(e21,op2(e21,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_293])]) ).
fof(f3807,plain,
( ~ spl42_191
| ~ spl42_145 ),
inference(avatar_split_clause,[],[f3628,f1260,f1460]) ).
fof(f1460,plain,
( spl42_191
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_191])]) ).
fof(f3628,plain,
( e23 != op2(e21,e20)
| ~ spl42_145 ),
inference(forward_demodulation,[],[f268,f1262]) ).
fof(f268,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3780,plain,
( spl42_146
| ~ spl42_158
| ~ spl42_287 ),
inference(avatar_contradiction_clause,[],[f3779]) ).
fof(f3779,plain,
( $false
| spl42_146
| ~ spl42_158
| ~ spl42_287 ),
inference(subsumption_resolution,[],[f3778,f1265]) ).
fof(f1265,plain,
( e23 != op2(e23,e21)
| spl42_146 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1264,plain,
( spl42_146
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_146])]) ).
fof(f3778,plain,
( e23 = op2(e23,e21)
| ~ spl42_158
| ~ spl42_287 ),
inference(forward_demodulation,[],[f2021,f1317]) ).
fof(f2021,plain,
( e23 = op2(e23,op2(e23,e23))
| ~ spl42_287 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f2019,plain,
( spl42_287
<=> e23 = op2(e23,op2(e23,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_287])]) ).
fof(f3776,plain,
( ~ spl42_164
| spl42_177
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f3775]) ).
fof(f3775,plain,
( $false
| ~ spl42_164
| spl42_177
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f3774,f1399]) ).
fof(f1399,plain,
( e22 != op2(e22,e20)
| spl42_177 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f3774,plain,
( e22 = op2(e22,e20)
| ~ spl42_164
| ~ spl42_286 ),
inference(forward_demodulation,[],[f2017,f1343]) ).
fof(f2017,plain,
( e22 = op2(e22,op2(e22,e23))
| ~ spl42_286 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f2015,plain,
( spl42_286
<=> e22 = op2(e22,op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_286])]) ).
fof(f3772,plain,
( ~ spl42_149
| spl42_180
| ~ spl42_285 ),
inference(avatar_contradiction_clause,[],[f3771]) ).
fof(f3771,plain,
( $false
| ~ spl42_149
| spl42_180
| ~ spl42_285 ),
inference(subsumption_resolution,[],[f3770,f1412]) ).
fof(f1412,plain,
( e21 != op2(e21,e22)
| spl42_180 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1411,plain,
( spl42_180
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).
fof(f3770,plain,
( e21 = op2(e21,e22)
| ~ spl42_149
| ~ spl42_285 ),
inference(forward_demodulation,[],[f2013,f1279]) ).
fof(f2013,plain,
( e21 = op2(e21,op2(e21,e23))
| ~ spl42_285 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2011,plain,
( spl42_285
<=> e21 = op2(e21,op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_285])]) ).
fof(f3769,plain,
( ~ spl42_141
| spl42_162
| ~ spl42_284 ),
inference(avatar_contradiction_clause,[],[f3768]) ).
fof(f3768,plain,
( $false
| ~ spl42_141
| spl42_162
| ~ spl42_284 ),
inference(subsumption_resolution,[],[f3767,f1334]) ).
fof(f1334,plain,
( e20 != op2(e20,e23)
| spl42_162 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1333,plain,
( spl42_162
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_162])]) ).
fof(f3767,plain,
( e20 = op2(e20,e23)
| ~ spl42_141
| ~ spl42_284 ),
inference(forward_demodulation,[],[f2009,f1245]) ).
fof(f3743,plain,
( spl42_19
| ~ spl42_176 ),
inference(avatar_split_clause,[],[f3742,f1393,f701]) ).
fof(f1393,plain,
( spl42_176
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_176])]) ).
fof(f3742,plain,
( e22 = h3(e11)
| ~ spl42_176 ),
inference(forward_demodulation,[],[f206,f1395]) ).
fof(f1395,plain,
( e22 = op2(e22,e22)
| ~ spl42_176 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f3710,plain,
( ~ spl42_169
| ~ spl42_141 ),
inference(avatar_split_clause,[],[f3656,f1243,f1363]) ).
fof(f1363,plain,
( spl42_169
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_169])]) ).
fof(f3656,plain,
( e23 != op2(e20,e22)
| ~ spl42_141 ),
inference(forward_demodulation,[],[f293,f1245]) ).
fof(f3701,plain,
( ~ spl42_188
| ~ spl42_164 ),
inference(avatar_split_clause,[],[f3670,f1341,f1446]) ).
fof(f1446,plain,
( spl42_188
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).
fof(f3670,plain,
( e20 != op2(e22,e21)
| ~ spl42_164 ),
inference(forward_demodulation,[],[f304,f1343]) ).
fof(f304,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3700,plain,
( ~ spl42_177
| ~ spl42_202 ),
inference(avatar_split_clause,[],[f3699,f1513,f1398]) ).
fof(f1513,plain,
( spl42_202
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_202])]) ).
fof(f3699,plain,
( e22 != op2(e22,e20)
| ~ spl42_202 ),
inference(forward_demodulation,[],[f265,f1515]) ).
fof(f1515,plain,
( op2(e20,e20) = e22
| ~ spl42_202 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f265,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3687,plain,
( ~ spl42_161
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f3677,f1315,f1328]) ).
fof(f1328,plain,
( spl42_161
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_161])]) ).
fof(f3677,plain,
( e21 != op2(e23,e22)
| ~ spl42_158 ),
inference(forward_demodulation,[],[f311,f1317]) ).
fof(f311,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3684,plain,
( ~ spl42_168
| ~ spl42_184 ),
inference(avatar_split_clause,[],[f3683,f1429,f1358]) ).
fof(f3683,plain,
( e20 != op2(e23,e22)
| ~ spl42_184 ),
inference(forward_demodulation,[],[f278,f1431]) ).
fof(f1431,plain,
( e20 = op2(e20,e22)
| ~ spl42_184 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f278,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3681,plain,
( spl42_153
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f3678,f1315,f1294]) ).
fof(f3678,plain,
( e22 = op2(e23,e21)
| ~ spl42_158 ),
inference(forward_demodulation,[],[f314,f1317]) ).
fof(f314,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f3559,plain,
( ~ spl42_266
| ~ spl42_267 ),
inference(avatar_contradiction_clause,[],[f3558]) ).
fof(f3558,plain,
( $false
| ~ spl42_266
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f3554,f197]) ).
fof(f197,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f3554,plain,
( e11 = e12
| ~ spl42_266
| ~ spl42_267 ),
inference(superposition,[],[f1819,f1825]) ).
fof(f1819,plain,
( op1(e10,e10) = e12
| ~ spl42_266 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f1817,plain,
( spl42_266
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_266])]) ).
fof(f3549,plain,
( ~ spl42_260
| ~ spl42_263 ),
inference(avatar_contradiction_clause,[],[f3548]) ).
fof(f3548,plain,
( $false
| ~ spl42_260
| ~ spl42_263 ),
inference(subsumption_resolution,[],[f3544,f194]) ).
fof(f3544,plain,
( e10 = e11
| ~ spl42_260
| ~ spl42_263 ),
inference(superposition,[],[f1789,f1803]) ).
fof(f3480,plain,
( ~ spl42_212
| ~ spl42_226 ),
inference(avatar_contradiction_clause,[],[f3479]) ).
fof(f3479,plain,
( $false
| ~ spl42_212
| ~ spl42_226 ),
inference(subsumption_resolution,[],[f3478,f195]) ).
fof(f195,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f3478,plain,
( e10 = e12
| ~ spl42_212
| ~ spl42_226 ),
inference(forward_demodulation,[],[f1579,f1639]) ).
fof(f1639,plain,
( e10 = op1(e10,e13)
| ~ spl42_226 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1579,plain,
( e12 = op1(e10,e13)
| ~ spl42_212 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f3477,plain,
( ~ spl42_205
| ~ spl42_226 ),
inference(avatar_contradiction_clause,[],[f3476]) ).
fof(f3476,plain,
( $false
| ~ spl42_205
| ~ spl42_226 ),
inference(subsumption_resolution,[],[f3472,f196]) ).
fof(f3472,plain,
( e10 = e13
| ~ spl42_205
| ~ spl42_226 ),
inference(superposition,[],[f1549,f1639]) ).
fof(f3465,plain,
( ~ spl42_210
| ~ spl42_217 ),
inference(avatar_contradiction_clause,[],[f3464]) ).
fof(f3464,plain,
( $false
| ~ spl42_210
| ~ spl42_217 ),
inference(subsumption_resolution,[],[f3460,f199]) ).
fof(f3460,plain,
( e12 = e13
| ~ spl42_210
| ~ spl42_217 ),
inference(superposition,[],[f1570,f1600]) ).
fof(f1570,plain,
( e13 = op1(e13,e11)
| ~ spl42_210 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1568,plain,
( spl42_210
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_210])]) ).
fof(f3440,plain,
( ~ spl42_255
| ~ spl42_261 ),
inference(avatar_contradiction_clause,[],[f3439]) ).
fof(f3439,plain,
( $false
| ~ spl42_255
| ~ spl42_261 ),
inference(subsumption_resolution,[],[f3438,f198]) ).
fof(f3438,plain,
( e11 = e13
| ~ spl42_255
| ~ spl42_261 ),
inference(forward_demodulation,[],[f1766,f1794]) ).
fof(f1794,plain,
( e11 = op1(e11,e10)
| ~ spl42_261 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f3429,plain,
( ~ spl42_239
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f3428]) ).
fof(f3428,plain,
( $false
| ~ spl42_239
| ~ spl42_249 ),
inference(subsumption_resolution,[],[f3427,f195]) ).
fof(f3427,plain,
( e10 = e12
| ~ spl42_239
| ~ spl42_249 ),
inference(forward_demodulation,[],[f1695,f1739]) ).
fof(f1695,plain,
( e12 = op1(e11,e12)
| ~ spl42_239 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1693,plain,
( spl42_239
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_239])]) ).
fof(f3418,plain,
( ~ spl42_261
| ~ spl42_264 ),
inference(avatar_contradiction_clause,[],[f3417]) ).
fof(f3417,plain,
( $false
| ~ spl42_261
| ~ spl42_264 ),
inference(subsumption_resolution,[],[f3412,f194]) ).
fof(f3412,plain,
( e10 = e11
| ~ spl42_261
| ~ spl42_264 ),
inference(superposition,[],[f1794,f1808]) ).
fof(f3386,plain,
( ~ spl42_206
| ~ spl42_213 ),
inference(avatar_contradiction_clause,[],[f3385]) ).
fof(f3385,plain,
( $false
| ~ spl42_206
| ~ spl42_213 ),
inference(subsumption_resolution,[],[f3382,f199]) ).
fof(f3382,plain,
( e12 = e13
| ~ spl42_206
| ~ spl42_213 ),
inference(superposition,[],[f1553,f1583]) ).
fof(f3345,plain,
( ~ spl42_218
| ~ spl42_232 ),
inference(avatar_contradiction_clause,[],[f3344]) ).
fof(f3344,plain,
( $false
| ~ spl42_218
| ~ spl42_232 ),
inference(subsumption_resolution,[],[f3343,f195]) ).
fof(f3343,plain,
( e10 = e12
| ~ spl42_218
| ~ spl42_232 ),
inference(forward_demodulation,[],[f1604,f1664]) ).
fof(f1604,plain,
( e12 = op1(e13,e12)
| ~ spl42_218 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f1602,plain,
( spl42_218
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_218])]) ).
fof(f3294,plain,
( ~ spl42_208
| ~ spl42_222 ),
inference(avatar_contradiction_clause,[],[f3293]) ).
fof(f3293,plain,
( $false
| ~ spl42_208
| ~ spl42_222 ),
inference(subsumption_resolution,[],[f3292,f198]) ).
fof(f3292,plain,
( e11 = e13
| ~ spl42_208
| ~ spl42_222 ),
inference(forward_demodulation,[],[f1561,f1621]) ).
fof(f1561,plain,
( e13 = op1(e13,e13)
| ~ spl42_208 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1559,plain,
( spl42_208
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_208])]) ).
fof(f3290,plain,
( ~ spl42_221
| ~ spl42_228 ),
inference(avatar_contradiction_clause,[],[f3289]) ).
fof(f3289,plain,
( $false
| ~ spl42_221
| ~ spl42_228 ),
inference(subsumption_resolution,[],[f3288,f194]) ).
fof(f3288,plain,
( e10 = e11
| ~ spl42_221
| ~ spl42_228 ),
inference(forward_demodulation,[],[f1617,f1647]) ).
fof(f1617,plain,
( e11 = op1(e12,e13)
| ~ spl42_221 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1615,plain,
( spl42_221
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_221])]) ).
fof(f3287,plain,
( ~ spl42_214
| ~ spl42_228 ),
inference(avatar_contradiction_clause,[],[f3286]) ).
fof(f3286,plain,
( $false
| ~ spl42_214
| ~ spl42_228 ),
inference(subsumption_resolution,[],[f3281,f195]) ).
fof(f3281,plain,
( e10 = e12
| ~ spl42_214
| ~ spl42_228 ),
inference(superposition,[],[f1587,f1647]) ).
fof(f1587,plain,
( e12 = op1(e12,e13)
| ~ spl42_214 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1585,plain,
( spl42_214
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_214])]) ).
fof(f3267,plain,
( ~ spl42_215
| ~ spl42_222 ),
inference(avatar_contradiction_clause,[],[f3266]) ).
fof(f3266,plain,
( $false
| ~ spl42_215
| ~ spl42_222 ),
inference(subsumption_resolution,[],[f3265,f197]) ).
fof(f3265,plain,
( e11 = e12
| ~ spl42_215
| ~ spl42_222 ),
inference(forward_demodulation,[],[f1591,f1621]) ).
fof(f1591,plain,
( e12 = op1(e13,e13)
| ~ spl42_215 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1589,plain,
( spl42_215
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_215])]) ).
fof(f3263,plain,
( ~ spl42_206
| ~ spl42_227 ),
inference(avatar_contradiction_clause,[],[f3262]) ).
fof(f3262,plain,
( $false
| ~ spl42_206
| ~ spl42_227 ),
inference(subsumption_resolution,[],[f3261,f196]) ).
fof(f3261,plain,
( e10 = e13
| ~ spl42_206
| ~ spl42_227 ),
inference(forward_demodulation,[],[f1553,f1643]) ).
fof(f1643,plain,
( e10 = op1(e11,e13)
| ~ spl42_227 ),
inference(avatar_component_clause,[],[f1641]) ).
fof(f1641,plain,
( spl42_227
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_227])]) ).
fof(f3256,plain,
( ~ spl42_205
| ~ spl42_212 ),
inference(avatar_contradiction_clause,[],[f3255]) ).
fof(f3255,plain,
( $false
| ~ spl42_205
| ~ spl42_212 ),
inference(subsumption_resolution,[],[f3254,f199]) ).
fof(f3254,plain,
( e12 = e13
| ~ spl42_205
| ~ spl42_212 ),
inference(forward_demodulation,[],[f1549,f1579]) ).
fof(f3240,plain,
( ~ spl42_265
| ~ spl42_267 ),
inference(avatar_contradiction_clause,[],[f3239]) ).
fof(f3239,plain,
( $false
| ~ spl42_265
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f3236,f198]) ).
fof(f3236,plain,
( e11 = e13
| ~ spl42_265
| ~ spl42_267 ),
inference(superposition,[],[f1813,f1825]) ).
fof(f1813,plain,
( op1(e10,e10) = e13
| ~ spl42_265 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f3226,plain,
( ~ spl42_222
| ~ spl42_229 ),
inference(avatar_contradiction_clause,[],[f3225]) ).
fof(f3225,plain,
( $false
| ~ spl42_222
| ~ spl42_229 ),
inference(subsumption_resolution,[],[f3221,f194]) ).
fof(f3221,plain,
( e10 = e11
| ~ spl42_222
| ~ spl42_229 ),
inference(superposition,[],[f1621,f1651]) ).
fof(f1651,plain,
( e10 = op1(e13,e13)
| ~ spl42_229 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1649,plain,
( spl42_229
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_229])]) ).
fof(f3208,plain,
( ~ spl42_254
| ~ spl42_260 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3207,plain,
( $false
| ~ spl42_254
| ~ spl42_260 ),
inference(subsumption_resolution,[],[f3204,f198]) ).
fof(f3204,plain,
( e11 = e13
| ~ spl42_254
| ~ spl42_260 ),
inference(superposition,[],[f1761,f1789]) ).
fof(f3199,plain,
( ~ spl42_259
| ~ spl42_262 ),
inference(avatar_contradiction_clause,[],[f3198]) ).
fof(f3198,plain,
( $false
| ~ spl42_259
| ~ spl42_262 ),
inference(subsumption_resolution,[],[f3195,f194]) ).
fof(f3195,plain,
( e10 = e11
| ~ spl42_259
| ~ spl42_262 ),
inference(superposition,[],[f1785,f1799]) ).
fof(f1785,plain,
( e11 = op1(e10,e11)
| ~ spl42_259 ),
inference(avatar_component_clause,[],[f1783]) ).
fof(f1783,plain,
( spl42_259
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_259])]) ).
fof(f3192,plain,
( ~ spl42_258
| ~ spl42_261 ),
inference(avatar_contradiction_clause,[],[f3191]) ).
fof(f3191,plain,
( $false
| ~ spl42_258
| ~ spl42_261 ),
inference(subsumption_resolution,[],[f3187,f197]) ).
fof(f3187,plain,
( e11 = e12
| ~ spl42_258
| ~ spl42_261 ),
inference(superposition,[],[f1780,f1794]) ).
fof(f1780,plain,
( e12 = op1(e11,e10)
| ~ spl42_258 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f1778,plain,
( spl42_258
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_258])]) ).
fof(f3176,plain,
( ~ spl42_209
| ~ spl42_230 ),
inference(avatar_contradiction_clause,[],[f3175]) ).
fof(f3175,plain,
( $false
| ~ spl42_209
| ~ spl42_230 ),
inference(subsumption_resolution,[],[f3174,f196]) ).
fof(f3174,plain,
( e10 = e13
| ~ spl42_209
| ~ spl42_230 ),
inference(forward_demodulation,[],[f1566,f1656]) ).
fof(f3171,plain,
( ~ spl42_213
| ~ spl42_227 ),
inference(avatar_contradiction_clause,[],[f3170]) ).
fof(f3170,plain,
( $false
| ~ spl42_213
| ~ spl42_227 ),
inference(subsumption_resolution,[],[f3169,f195]) ).
fof(f3169,plain,
( e10 = e12
| ~ spl42_213
| ~ spl42_227 ),
inference(forward_demodulation,[],[f1583,f1643]) ).
fof(f3165,plain,
( ~ spl42_255
| ~ spl42_258 ),
inference(avatar_contradiction_clause,[],[f3164]) ).
fof(f3164,plain,
( $false
| ~ spl42_255
| ~ spl42_258 ),
inference(subsumption_resolution,[],[f3161,f199]) ).
fof(f3161,plain,
( e12 = e13
| ~ spl42_255
| ~ spl42_258 ),
inference(superposition,[],[f1766,f1780]) ).
fof(f3153,plain,
( ~ spl42_241
| ~ spl42_251 ),
inference(avatar_contradiction_clause,[],[f3152]) ).
fof(f3152,plain,
( $false
| ~ spl42_241
| ~ spl42_251 ),
inference(subsumption_resolution,[],[f3151,f195]) ).
fof(f3151,plain,
( e10 = e12
| ~ spl42_241
| ~ spl42_251 ),
inference(forward_demodulation,[],[f1704,f1748]) ).
fof(f1748,plain,
( e10 = op1(e12,e10)
| ~ spl42_251 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1746,plain,
( spl42_251
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_251])]) ).
fof(f3130,plain,
( ~ spl42_244
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f3129]) ).
fof(f3129,plain,
( $false
| ~ spl42_244
| ~ spl42_249 ),
inference(subsumption_resolution,[],[f3124,f194]) ).
fof(f3124,plain,
( e10 = e11
| ~ spl42_244
| ~ spl42_249 ),
inference(superposition,[],[f1717,f1739]) ).
fof(f1717,plain,
( e11 = op1(e11,e12)
| ~ spl42_244 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f3118,plain,
( ~ spl42_235
| ~ spl42_250 ),
inference(avatar_contradiction_clause,[],[f3117]) ).
fof(f3117,plain,
( $false
| ~ spl42_235
| ~ spl42_250 ),
inference(subsumption_resolution,[],[f3114,f196]) ).
fof(f3114,plain,
( e10 = e13
| ~ spl42_235
| ~ spl42_250 ),
inference(superposition,[],[f1677,f1743]) ).
fof(f1743,plain,
( e10 = op1(e12,e12)
| ~ spl42_250 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl42_250
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_250])]) ).
fof(f1677,plain,
( e13 = op1(e12,e12)
| ~ spl42_235 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f1675,plain,
( spl42_235
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_235])]) ).
fof(f3102,plain,
( ~ spl42_239
| ~ spl42_244 ),
inference(avatar_contradiction_clause,[],[f3101]) ).
fof(f3101,plain,
( $false
| ~ spl42_239
| ~ spl42_244 ),
inference(subsumption_resolution,[],[f3100,f197]) ).
fof(f3100,plain,
( e11 = e12
| ~ spl42_239
| ~ spl42_244 ),
inference(forward_demodulation,[],[f1695,f1717]) ).
fof(f3098,plain,
( ~ spl42_238
| ~ spl42_248 ),
inference(avatar_contradiction_clause,[],[f3097]) ).
fof(f3097,plain,
( $false
| ~ spl42_238
| ~ spl42_248 ),
inference(subsumption_resolution,[],[f3094,f195]) ).
fof(f3094,plain,
( e10 = e12
| ~ spl42_238
| ~ spl42_248 ),
inference(superposition,[],[f1691,f1735]) ).
fof(f1735,plain,
( e10 = op1(e10,e12)
| ~ spl42_248 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f3083,plain,
( ~ spl42_241
| ~ spl42_246 ),
inference(avatar_contradiction_clause,[],[f3082]) ).
fof(f3082,plain,
( $false
| ~ spl42_241
| ~ spl42_246 ),
inference(subsumption_resolution,[],[f3079,f197]) ).
fof(f3079,plain,
( e11 = e12
| ~ spl42_241
| ~ spl42_246 ),
inference(superposition,[],[f1704,f1726]) ).
fof(f1726,plain,
( e11 = op1(e12,e10)
| ~ spl42_246 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f1724,plain,
( spl42_246
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_246])]) ).
fof(f3076,plain,
( ~ spl42_234
| ~ spl42_244 ),
inference(avatar_contradiction_clause,[],[f3075]) ).
fof(f3075,plain,
( $false
| ~ spl42_234
| ~ spl42_244 ),
inference(subsumption_resolution,[],[f3072,f198]) ).
fof(f3072,plain,
( e11 = e13
| ~ spl42_234
| ~ spl42_244 ),
inference(superposition,[],[f1673,f1717]) ).
fof(f3069,plain,
( ~ spl42_236
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f3068]) ).
fof(f3068,plain,
( $false
| ~ spl42_236
| ~ spl42_241 ),
inference(subsumption_resolution,[],[f3065,f199]) ).
fof(f3065,plain,
( e12 = e13
| ~ spl42_236
| ~ spl42_241 ),
inference(superposition,[],[f1682,f1704]) ).
fof(f1682,plain,
( e13 = op1(e12,e10)
| ~ spl42_236 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1680,plain,
( spl42_236
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_236])]) ).
fof(f3061,plain,
( ~ spl42_233
| ~ spl42_238 ),
inference(avatar_contradiction_clause,[],[f3060]) ).
fof(f3060,plain,
( $false
| ~ spl42_233
| ~ spl42_238 ),
inference(subsumption_resolution,[],[f3057,f199]) ).
fof(f3057,plain,
( e12 = e13
| ~ spl42_233
| ~ spl42_238 ),
inference(superposition,[],[f1669,f1691]) ).
fof(f1669,plain,
( e13 = op1(e10,e12)
| ~ spl42_233 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1667,plain,
( spl42_233
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).
fof(f3046,plain,
( ~ spl42_211
| ~ spl42_232 ),
inference(avatar_contradiction_clause,[],[f3045]) ).
fof(f3045,plain,
( $false
| ~ spl42_211
| ~ spl42_232 ),
inference(subsumption_resolution,[],[f3042,f196]) ).
fof(f3042,plain,
( e10 = e13
| ~ spl42_211
| ~ spl42_232 ),
inference(superposition,[],[f1574,f1664]) ).
fof(f3037,plain,
( ~ spl42_217
| ~ spl42_231 ),
inference(avatar_contradiction_clause,[],[f3036]) ).
fof(f3036,plain,
( $false
| ~ spl42_217
| ~ spl42_231 ),
inference(subsumption_resolution,[],[f3033,f195]) ).
fof(f3033,plain,
( e10 = e12
| ~ spl42_217
| ~ spl42_231 ),
inference(superposition,[],[f1600,f1660]) ).
fof(f1660,plain,
( e10 = op1(e13,e11)
| ~ spl42_231 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1658,plain,
( spl42_231
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_231])]) ).
fof(f3029,plain,
( ~ spl42_207
| ~ spl42_228 ),
inference(avatar_contradiction_clause,[],[f3028]) ).
fof(f3028,plain,
( $false
| ~ spl42_207
| ~ spl42_228 ),
inference(subsumption_resolution,[],[f3025,f196]) ).
fof(f3025,plain,
( e10 = e13
| ~ spl42_207
| ~ spl42_228 ),
inference(superposition,[],[f1557,f1647]) ).
fof(f1557,plain,
( e13 = op1(e12,e13)
| ~ spl42_207 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1555,plain,
( spl42_207
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).
fof(f3004,plain,
( ~ spl42_217
| ~ spl42_224 ),
inference(avatar_contradiction_clause,[],[f3003]) ).
fof(f3003,plain,
( $false
| ~ spl42_217
| ~ spl42_224 ),
inference(subsumption_resolution,[],[f3000,f197]) ).
fof(f3000,plain,
( e11 = e12
| ~ spl42_217
| ~ spl42_224 ),
inference(superposition,[],[f1600,f1630]) ).
fof(f1630,plain,
( e11 = op1(e13,e11)
| ~ spl42_224 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1628,plain,
( spl42_224
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_224])]) ).
fof(f2980,plain,
( ~ spl42_213
| ~ spl42_220 ),
inference(avatar_contradiction_clause,[],[f2979]) ).
fof(f2979,plain,
( $false
| ~ spl42_213
| ~ spl42_220 ),
inference(subsumption_resolution,[],[f2976,f197]) ).
fof(f2976,plain,
( e11 = e12
| ~ spl42_213
| ~ spl42_220 ),
inference(superposition,[],[f1583,f1613]) ).
fof(f1613,plain,
( e11 = op1(e11,e13)
| ~ spl42_220 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f2936,plain,
( ~ spl42_191
| ~ spl42_200 ),
inference(avatar_contradiction_clause,[],[f2935]) ).
fof(f2935,plain,
( $false
| ~ spl42_191
| ~ spl42_200 ),
inference(subsumption_resolution,[],[f2932,f174]) ).
fof(f174,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2932,plain,
( e20 = e23
| ~ spl42_191
| ~ spl42_200 ),
inference(superposition,[],[f1462,f1504]) ).
fof(f1462,plain,
( e23 = op2(e21,e20)
| ~ spl42_191 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f2861,plain,
( ~ spl42_141
| ~ spl42_148 ),
inference(avatar_contradiction_clause,[],[f2860]) ).
fof(f2860,plain,
( $false
| ~ spl42_141
| ~ spl42_148 ),
inference(subsumption_resolution,[],[f2856,f177]) ).
fof(f177,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2856,plain,
( e22 = e23
| ~ spl42_141
| ~ spl42_148 ),
inference(superposition,[],[f1245,f1275]) ).
fof(f2807,plain,
( ~ spl42_154
| ~ spl42_168 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2806,plain,
( $false
| ~ spl42_154
| ~ spl42_168 ),
inference(subsumption_resolution,[],[f2805,f173]) ).
fof(f2805,plain,
( e20 = e22
| ~ spl42_154
| ~ spl42_168 ),
inference(forward_demodulation,[],[f1300,f1360]) ).
fof(f1300,plain,
( e22 = op2(e23,e22)
| ~ spl42_154 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1298,plain,
( spl42_154
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_154])]) ).
fof(f2790,plain,
( ~ spl42_151
| ~ spl42_158 ),
inference(avatar_contradiction_clause,[],[f2789]) ).
fof(f2789,plain,
( $false
| ~ spl42_151
| ~ spl42_158 ),
inference(subsumption_resolution,[],[f2788,f175]) ).
fof(f2788,plain,
( e21 = e22
| ~ spl42_151
| ~ spl42_158 ),
inference(forward_demodulation,[],[f1287,f1317]) ).
fof(f1287,plain,
( e22 = op2(e23,e23)
| ~ spl42_151 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1285,plain,
( spl42_151
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_151])]) ).
fof(f2728,plain,
( ~ spl42_171
| ~ spl42_176 ),
inference(avatar_contradiction_clause,[],[f2727]) ).
fof(f2727,plain,
( $false
| ~ spl42_171
| ~ spl42_176 ),
inference(subsumption_resolution,[],[f2723,f177]) ).
fof(f2723,plain,
( e22 = e23
| ~ spl42_171
| ~ spl42_176 ),
inference(superposition,[],[f1373,f1395]) ).
fof(f1373,plain,
( e23 = op2(e22,e22)
| ~ spl42_171 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1371,plain,
( spl42_171
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).
fof(f2692,plain,
( ~ spl42_150
| ~ spl42_164 ),
inference(avatar_contradiction_clause,[],[f2691]) ).
fof(f2691,plain,
( $false
| ~ spl42_150
| ~ spl42_164 ),
inference(subsumption_resolution,[],[f2686,f173]) ).
fof(f2686,plain,
( e20 = e22
| ~ spl42_150
| ~ spl42_164 ),
inference(superposition,[],[f1283,f1343]) ).
fof(f1283,plain,
( e22 = op2(e22,e23)
| ~ spl42_150 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1281,plain,
( spl42_150
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).
fof(f2677,plain,
( ~ spl42_144
| ~ spl42_158 ),
inference(avatar_contradiction_clause,[],[f2676]) ).
fof(f2676,plain,
( $false
| ~ spl42_144
| ~ spl42_158 ),
inference(subsumption_resolution,[],[f2675,f176]) ).
fof(f2675,plain,
( e21 = e23
| ~ spl42_144
| ~ spl42_158 ),
inference(forward_demodulation,[],[f1257,f1317]) ).
fof(f1257,plain,
( e23 = op2(e23,e23)
| ~ spl42_144 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1255,plain,
( spl42_144
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).
fof(f2673,plain,
( ~ spl42_141
| ~ spl42_162 ),
inference(avatar_contradiction_clause,[],[f2672]) ).
fof(f2672,plain,
( $false
| ~ spl42_141
| ~ spl42_162 ),
inference(subsumption_resolution,[],[f2671,f174]) ).
fof(f2671,plain,
( e20 = e23
| ~ spl42_141
| ~ spl42_162 ),
inference(forward_demodulation,[],[f1245,f1335]) ).
fof(f1335,plain,
( e20 = op2(e20,e23)
| ~ spl42_162 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f2670,plain,
( ~ spl42_145
| ~ spl42_166 ),
inference(avatar_contradiction_clause,[],[f2669]) ).
fof(f2669,plain,
( $false
| ~ spl42_145
| ~ spl42_166 ),
inference(subsumption_resolution,[],[f2668,f174]) ).
fof(f2668,plain,
( e20 = e23
| ~ spl42_145
| ~ spl42_166 ),
inference(forward_demodulation,[],[f1262,f1352]) ).
fof(f2627,plain,
( ~ spl42_173
| ~ spl42_183 ),
inference(avatar_contradiction_clause,[],[f2626]) ).
fof(f2626,plain,
( $false
| ~ spl42_173
| ~ spl42_183 ),
inference(subsumption_resolution,[],[f2625,f176]) ).
fof(f2625,plain,
( e21 = e23
| ~ spl42_173
| ~ spl42_183 ),
inference(forward_demodulation,[],[f1382,f1426]) ).
fof(f2618,plain,
( ~ spl42_142
| ~ spl42_149 ),
inference(avatar_contradiction_clause,[],[f2617]) ).
fof(f2617,plain,
( $false
| ~ spl42_142
| ~ spl42_149 ),
inference(subsumption_resolution,[],[f2616,f177]) ).
fof(f2616,plain,
( e22 = e23
| ~ spl42_142
| ~ spl42_149 ),
inference(forward_demodulation,[],[f1249,f1279]) ).
fof(f1249,plain,
( e23 = op2(e21,e23)
| ~ spl42_142 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1247,plain,
( spl42_142
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).
fof(f2615,plain,
( ~ spl42_146
| ~ spl42_153 ),
inference(avatar_contradiction_clause,[],[f2614]) ).
fof(f2614,plain,
( $false
| ~ spl42_146
| ~ spl42_153 ),
inference(subsumption_resolution,[],[f2613,f177]) ).
fof(f2613,plain,
( e22 = e23
| ~ spl42_146
| ~ spl42_153 ),
inference(forward_demodulation,[],[f1266,f1296]) ).
fof(f1266,plain,
( e23 = op2(e23,e21)
| ~ spl42_146 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f2610,plain,
( ~ spl42_170
| ~ spl42_180 ),
inference(avatar_contradiction_clause,[],[f2609]) ).
fof(f2609,plain,
( $false
| ~ spl42_170
| ~ spl42_180 ),
inference(subsumption_resolution,[],[f2608,f176]) ).
fof(f2608,plain,
( e21 = e23
| ~ spl42_170
| ~ spl42_180 ),
inference(forward_demodulation,[],[f1369,f1413]) ).
fof(f1413,plain,
( e21 = op2(e21,e22)
| ~ spl42_180 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f2607,plain,
( ~ spl42_189
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f2606]) ).
fof(f2606,plain,
( $false
| ~ spl42_189
| ~ spl42_198 ),
inference(subsumption_resolution,[],[f2605,f174]) ).
fof(f2605,plain,
( e20 = e23
| ~ spl42_189
| ~ spl42_198 ),
inference(forward_demodulation,[],[f1453,f1495]) ).
fof(f1453,plain,
( e23 = op2(e20,e21)
| ~ spl42_189 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1451,plain,
( spl42_189
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_189])]) ).
fof(f2603,plain,
( ~ spl42_190
| ~ spl42_199 ),
inference(avatar_contradiction_clause,[],[f2602]) ).
fof(f2602,plain,
( $false
| ~ spl42_190
| ~ spl42_199 ),
inference(subsumption_resolution,[],[f2599,f174]) ).
fof(f2599,plain,
( e20 = e23
| ~ spl42_190
| ~ spl42_199 ),
inference(superposition,[],[f1457,f1499]) ).
fof(f1499,plain,
( e20 = op2(e21,e21)
| ~ spl42_199 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1497,plain,
( spl42_199
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).
fof(f2575,plain,
( ~ spl42_190
| ~ spl42_196 ),
inference(avatar_contradiction_clause,[],[f2574]) ).
fof(f2574,plain,
( $false
| ~ spl42_190
| ~ spl42_196 ),
inference(subsumption_resolution,[],[f2571,f176]) ).
fof(f2571,plain,
( e21 = e23
| ~ spl42_190
| ~ spl42_196 ),
inference(superposition,[],[f1457,f1485]) ).
fof(f2566,plain,
( ~ spl42_195
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f2565]) ).
fof(f2565,plain,
( $false
| ~ spl42_195
| ~ spl42_198 ),
inference(subsumption_resolution,[],[f2562,f172]) ).
fof(f2562,plain,
( e20 = e21
| ~ spl42_195
| ~ spl42_198 ),
inference(superposition,[],[f1481,f1495]) ).
fof(f1481,plain,
( e21 = op2(e20,e21)
| ~ spl42_195 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1479,plain,
( spl42_195
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_195])]) ).
fof(f2541,plain,
( ~ spl42_178
| ~ spl42_183 ),
inference(avatar_contradiction_clause,[],[f2540]) ).
fof(f2540,plain,
( $false
| ~ spl42_178
| ~ spl42_183 ),
inference(subsumption_resolution,[],[f2536,f175]) ).
fof(f2536,plain,
( e21 = e22
| ~ spl42_178
| ~ spl42_183 ),
inference(superposition,[],[f1404,f1426]) ).
fof(f1404,plain,
( e22 = op2(e22,e21)
| ~ spl42_178 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f2504,plain,
( ~ spl42_158
| ~ spl42_165 ),
inference(avatar_contradiction_clause,[],[f2503]) ).
fof(f2503,plain,
( $false
| ~ spl42_158
| ~ spl42_165 ),
inference(subsumption_resolution,[],[f2499,f172]) ).
fof(f2499,plain,
( e20 = e21
| ~ spl42_158
| ~ spl42_165 ),
inference(superposition,[],[f1317,f1347]) ).
fof(f1347,plain,
( e20 = op2(e23,e23)
| ~ spl42_165 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1345,plain,
( spl42_165
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_165])]) ).
fof(f2490,plain,
( ~ spl42_180
| ~ spl42_185 ),
inference(avatar_contradiction_clause,[],[f2489]) ).
fof(f2489,plain,
( $false
| ~ spl42_180
| ~ spl42_185 ),
inference(subsumption_resolution,[],[f2486,f172]) ).
fof(f2486,plain,
( e20 = e21
| ~ spl42_180
| ~ spl42_185 ),
inference(superposition,[],[f1413,f1435]) ).
fof(f2483,plain,
( ~ spl42_174
| ~ spl42_184 ),
inference(avatar_contradiction_clause,[],[f2482]) ).
fof(f2482,plain,
( $false
| ~ spl42_174
| ~ spl42_184 ),
inference(subsumption_resolution,[],[f2479,f173]) ).
fof(f2479,plain,
( e20 = e22
| ~ spl42_174
| ~ spl42_184 ),
inference(superposition,[],[f1387,f1431]) ).
fof(f2476,plain,
( ~ spl42_181
| ~ spl42_186 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
fof(f2475,plain,
( $false
| ~ spl42_181
| ~ spl42_186 ),
inference(subsumption_resolution,[],[f2471,f172]) ).
fof(f2471,plain,
( e20 = e21
| ~ spl42_181
| ~ spl42_186 ),
inference(superposition,[],[f1417,f1439]) ).
fof(f1439,plain,
( e20 = op2(e22,e22)
| ~ spl42_186 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1437,plain,
( spl42_186
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_186])]) ).
fof(f2467,plain,
( ~ spl42_171
| ~ spl42_181 ),
inference(avatar_contradiction_clause,[],[f2466]) ).
fof(f2466,plain,
( $false
| ~ spl42_171
| ~ spl42_181 ),
inference(subsumption_resolution,[],[f2463,f176]) ).
fof(f2463,plain,
( e21 = e23
| ~ spl42_171
| ~ spl42_181 ),
inference(superposition,[],[f1373,f1417]) ).
fof(f2452,plain,
( ~ spl42_175
| ~ spl42_180 ),
inference(avatar_contradiction_clause,[],[f2451]) ).
fof(f2451,plain,
( $false
| ~ spl42_175
| ~ spl42_180 ),
inference(subsumption_resolution,[],[f2448,f175]) ).
fof(f2448,plain,
( e21 = e22
| ~ spl42_175
| ~ spl42_180 ),
inference(superposition,[],[f1391,f1413]) ).
fof(f1391,plain,
( e22 = op2(e21,e22)
| ~ spl42_175 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1389,plain,
( spl42_175
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_175])]) ).
fof(f2445,plain,
( ~ spl42_174
| ~ spl42_179 ),
inference(avatar_contradiction_clause,[],[f2444]) ).
fof(f2444,plain,
( $false
| ~ spl42_174
| ~ spl42_179 ),
inference(subsumption_resolution,[],[f2441,f175]) ).
fof(f2441,plain,
( e21 = e22
| ~ spl42_174
| ~ spl42_179 ),
inference(superposition,[],[f1387,f1409]) ).
fof(f1409,plain,
( e21 = op2(e20,e22)
| ~ spl42_179 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1407,plain,
( spl42_179
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).
fof(f2437,plain,
( ~ spl42_172
| ~ spl42_177 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
fof(f2436,plain,
( $false
| ~ spl42_172
| ~ spl42_177 ),
inference(subsumption_resolution,[],[f2433,f177]) ).
fof(f2433,plain,
( e22 = e23
| ~ spl42_172
| ~ spl42_177 ),
inference(superposition,[],[f1378,f1400]) ).
fof(f1378,plain,
( e23 = op2(e22,e20)
| ~ spl42_172 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1376,plain,
( spl42_172
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).
fof(f2431,plain,
( ~ spl42_173
| ~ spl42_178 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl42_173
| ~ spl42_178 ),
inference(subsumption_resolution,[],[f2427,f177]) ).
fof(f2427,plain,
( e22 = e23
| ~ spl42_173
| ~ spl42_178 ),
inference(superposition,[],[f1382,f1404]) ).
fof(f2416,plain,
( ~ spl42_169
| ~ spl42_174 ),
inference(avatar_contradiction_clause,[],[f2415]) ).
fof(f2415,plain,
( $false
| ~ spl42_169
| ~ spl42_174 ),
inference(subsumption_resolution,[],[f2412,f177]) ).
fof(f2412,plain,
( e22 = e23
| ~ spl42_169
| ~ spl42_174 ),
inference(superposition,[],[f1365,f1387]) ).
fof(f1365,plain,
( e23 = op2(e20,e22)
| ~ spl42_169 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f2409,plain,
( ~ spl42_147
| ~ spl42_168 ),
inference(avatar_contradiction_clause,[],[f2408]) ).
fof(f2408,plain,
( $false
| ~ spl42_147
| ~ spl42_168 ),
inference(subsumption_resolution,[],[f2405,f174]) ).
fof(f2405,plain,
( e20 = e23
| ~ spl42_147
| ~ spl42_168 ),
inference(superposition,[],[f1270,f1360]) ).
fof(f2400,plain,
( ~ spl42_153
| ~ spl42_167 ),
inference(avatar_contradiction_clause,[],[f2399]) ).
fof(f2399,plain,
( $false
| ~ spl42_153
| ~ spl42_167 ),
inference(subsumption_resolution,[],[f2396,f173]) ).
fof(f2396,plain,
( e20 = e22
| ~ spl42_153
| ~ spl42_167 ),
inference(superposition,[],[f1296,f1356]) ).
fof(f1356,plain,
( e20 = op2(e23,e21)
| ~ spl42_167 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1354,plain,
( spl42_167
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_167])]) ).
fof(f2384,plain,
( ~ spl42_143
| ~ spl42_164 ),
inference(avatar_contradiction_clause,[],[f2383]) ).
fof(f2383,plain,
( $false
| ~ spl42_143
| ~ spl42_164 ),
inference(subsumption_resolution,[],[f2380,f174]) ).
fof(f2380,plain,
( e20 = e23
| ~ spl42_143
| ~ spl42_164 ),
inference(superposition,[],[f1253,f1343]) ).
fof(f1253,plain,
( e23 = op2(e22,e23)
| ~ spl42_143 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1251,plain,
( spl42_143
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_143])]) ).
fof(f2375,plain,
( ~ spl42_149
| ~ spl42_163 ),
inference(avatar_contradiction_clause,[],[f2374]) ).
fof(f2374,plain,
( $false
| ~ spl42_149
| ~ spl42_163 ),
inference(subsumption_resolution,[],[f2371,f173]) ).
fof(f2371,plain,
( e20 = e22
| ~ spl42_149
| ~ spl42_163 ),
inference(superposition,[],[f1279,f1339]) ).
fof(f1339,plain,
( e20 = op2(e21,e23)
| ~ spl42_163 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1337,plain,
( spl42_163
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_163])]) ).
fof(f2366,plain,
( ~ spl42_148
| ~ spl42_162 ),
inference(avatar_contradiction_clause,[],[f2365]) ).
fof(f2365,plain,
( $false
| ~ spl42_148
| ~ spl42_162 ),
inference(subsumption_resolution,[],[f2362,f173]) ).
fof(f2362,plain,
( e20 = e22
| ~ spl42_148
| ~ spl42_162 ),
inference(superposition,[],[f1275,f1335]) ).
fof(f2350,plain,
( ~ spl42_153
| ~ spl42_160 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
fof(f2349,plain,
( $false
| ~ spl42_153
| ~ spl42_160 ),
inference(subsumption_resolution,[],[f2346,f175]) ).
fof(f2346,plain,
( e21 = e22
| ~ spl42_153
| ~ spl42_160 ),
inference(superposition,[],[f1296,f1326]) ).
fof(f1326,plain,
( e21 = op2(e23,e21)
| ~ spl42_160 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1324,plain,
( spl42_160
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_160])]) ).
fof(f2312,plain,
( ~ spl42_147
| ~ spl42_154 ),
inference(avatar_contradiction_clause,[],[f2311]) ).
fof(f2311,plain,
( $false
| ~ spl42_147
| ~ spl42_154 ),
inference(subsumption_resolution,[],[f2308,f177]) ).
fof(f2308,plain,
( e22 = e23
| ~ spl42_147
| ~ spl42_154 ),
inference(superposition,[],[f1270,f1300]) ).
fof(f2299,plain,
spl42_222,
inference(avatar_split_clause,[],[f316,f1619]) ).
fof(f316,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f2298,plain,
spl42_158,
inference(avatar_split_clause,[],[f313,f1315]) ).
fof(f313,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f2280,plain,
( spl42_323
| spl42_324
| spl42_325
| spl42_326 ),
inference(avatar_split_clause,[],[f605,f2277,f2273,f2269,f2265]) ).
fof(f605,plain,
( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 )
& ( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) )
& ( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) )
& ( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) )
& ( e13 = op1(e13,op1(e13,e10))
| e12 = op1(e12,op1(e12,e10))
| e11 = op1(e11,op1(e11,e10))
| e10 = op1(e10,op1(e10,e10)) ) ),
inference(definition_folding,[],[f10,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f50,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f51,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f52,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f53,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f55,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f62,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f63,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f64,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f10,axiom,
( ( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) ) )
& ( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) )
& ( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) )
& ( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) )
& ( e13 = op1(e13,op1(e13,e10))
| e12 = op1(e12,op1(e12,e10))
| e11 = op1(e11,op1(e11,e10))
| e10 = op1(e10,op1(e10,e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2263,plain,
( spl42_319
| spl42_320
| spl42_321
| spl42_322 ),
inference(avatar_split_clause,[],[f606,f2260,f2256,f2252,f2248]) ).
fof(f606,plain,
( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f2246,plain,
( spl42_315
| spl42_316
| spl42_317
| spl42_318 ),
inference(avatar_split_clause,[],[f607,f2243,f2239,f2235,f2231]) ).
fof(f607,plain,
( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f2229,plain,
( spl42_314
| spl42_313
| spl42_312
| spl42_311
| spl42_310
| spl42_309
| spl42_308
| spl42_307
| spl42_306
| spl42_305
| spl42_304
| spl42_303
| spl42_302
| spl42_301
| spl42_300
| spl42_208 ),
inference(avatar_split_clause,[],[f608,f1559,f2075,f2085,f2095,f2105,f2115,f2125,f2135,f2145,f2155,f2165,f2175,f2185,f2195,f2205,f2215]) ).
fof(f2215,plain,
( spl42_314
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_314])]) ).
fof(f2205,plain,
( spl42_313
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_313])]) ).
fof(f2195,plain,
( spl42_312
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_312])]) ).
fof(f2185,plain,
( spl42_311
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_311])]) ).
fof(f2175,plain,
( spl42_310
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_310])]) ).
fof(f2165,plain,
( spl42_309
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_309])]) ).
fof(f2155,plain,
( spl42_308
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_308])]) ).
fof(f2145,plain,
( spl42_307
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_307])]) ).
fof(f2135,plain,
( spl42_306
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_306])]) ).
fof(f2125,plain,
( spl42_305
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_305])]) ).
fof(f2115,plain,
( spl42_304
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_304])]) ).
fof(f2105,plain,
( spl42_303
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_303])]) ).
fof(f2095,plain,
( spl42_302
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_302])]) ).
fof(f2085,plain,
( spl42_301
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_301])]) ).
fof(f2075,plain,
( spl42_300
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_300])]) ).
fof(f608,plain,
( e13 = op1(e13,e13)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f65]) ).
fof(f2223,plain,
( ~ spl42_314
| spl42_268 ),
inference(avatar_split_clause,[],[f598,f1829,f2215]) ).
fof(f598,plain,
( e10 = op1(e10,e10)
| ~ sP27 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP27 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2221,plain,
( ~ spl42_314
| ~ spl42_268 ),
inference(avatar_split_clause,[],[f600,f1829,f2215]) ).
fof(f600,plain,
( e10 != op1(e10,e10)
| ~ sP27 ),
inference(cnf_transformation,[],[f107]) ).
fof(f2220,plain,
( ~ spl42_314
| ~ spl42_263 ),
inference(avatar_split_clause,[],[f601,f1801,f2215]) ).
fof(f601,plain,
( e10 != op1(e11,e11)
| ~ sP27 ),
inference(cnf_transformation,[],[f107]) ).
fof(f2208,plain,
( ~ spl42_313
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f597,f1619,f2205]) ).
fof(f597,plain,
( e11 != op1(e13,e13)
| ~ sP28 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP28 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2202,plain,
( ~ spl42_312
| spl42_251 ),
inference(avatar_split_clause,[],[f587,f1746,f2195]) ).
fof(f587,plain,
( e10 = op1(e12,e10)
| ~ sP29 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP29 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2199,plain,
( ~ spl42_312
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f590,f1697,f2195]) ).
fof(f590,plain,
( e12 != op1(e12,e12)
| ~ sP29 ),
inference(cnf_transformation,[],[f105]) ).
fof(f2193,plain,
( ~ spl42_311
| spl42_226 ),
inference(avatar_split_clause,[],[f580,f1637,f2185]) ).
fof(f580,plain,
( e10 = op1(e10,e13)
| ~ sP30 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP30 ),
inference(nnf_transformation,[],[f53]) ).
fof(f2192,plain,
( ~ spl42_311
| spl42_230 ),
inference(avatar_split_clause,[],[f581,f1654,f2185]) ).
fof(f581,plain,
( e10 = op1(e13,e10)
| ~ sP30 ),
inference(cnf_transformation,[],[f104]) ).
fof(f2183,plain,
( ~ spl42_310
| spl42_261 ),
inference(avatar_split_clause,[],[f574,f1792,f2175]) ).
fof(f574,plain,
( e11 = op1(e11,e10)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP31 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2182,plain,
( ~ spl42_310
| spl42_259 ),
inference(avatar_split_clause,[],[f575,f1783,f2175]) ).
fof(f575,plain,
( e11 = op1(e10,e11)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f2181,plain,
( ~ spl42_310
| ~ spl42_268 ),
inference(avatar_split_clause,[],[f576,f1829,f2175]) ).
fof(f576,plain,
( e10 != op1(e10,e10)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f2180,plain,
( ~ spl42_310
| ~ spl42_263 ),
inference(avatar_split_clause,[],[f577,f1801,f2175]) ).
fof(f577,plain,
( e10 != op1(e11,e11)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f2168,plain,
( ~ spl42_309
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f573,f1619,f2165]) ).
fof(f573,plain,
( e11 != op1(e13,e13)
| ~ sP32 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f2163,plain,
( ~ spl42_308
| spl42_244 ),
inference(avatar_split_clause,[],[f562,f1715,f2155]) ).
fof(f562,plain,
( e11 = op1(e11,e12)
| ~ sP33 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2159,plain,
( ~ spl42_308
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f566,f1697,f2155]) ).
fof(f566,plain,
( e12 != op1(e12,e12)
| ~ sP33 ),
inference(cnf_transformation,[],[f101]) ).
fof(f2152,plain,
( ~ spl42_307
| spl42_224 ),
inference(avatar_split_clause,[],[f557,f1628,f2145]) ).
fof(f557,plain,
( e11 = op1(e13,e11)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP34 ),
inference(nnf_transformation,[],[f57]) ).
fof(f2143,plain,
( ~ spl42_306
| spl42_241 ),
inference(avatar_split_clause,[],[f550,f1702,f2135]) ).
fof(f550,plain,
( e12 = op1(e12,e10)
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP35 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2142,plain,
( ~ spl42_306
| spl42_238 ),
inference(avatar_split_clause,[],[f551,f1689,f2135]) ).
fof(f551,plain,
( e12 = op1(e10,e12)
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f2141,plain,
( ~ spl42_306
| ~ spl42_268 ),
inference(avatar_split_clause,[],[f552,f1829,f2135]) ).
fof(f552,plain,
( e10 != op1(e10,e10)
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f2133,plain,
( ~ spl42_305
| spl42_242 ),
inference(avatar_split_clause,[],[f544,f1706,f2125]) ).
fof(f544,plain,
( e12 = op1(e12,e11)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2123,plain,
( ~ spl42_304
| spl42_240 ),
inference(avatar_split_clause,[],[f538,f1697,f2115]) ).
fof(f538,plain,
( e12 = op1(e12,e12)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f2119,plain,
( ~ spl42_304
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f542,f1697,f2115]) ).
fof(f542,plain,
( e12 != op1(e12,e12)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f2113,plain,
( ~ spl42_303
| spl42_214 ),
inference(avatar_split_clause,[],[f532,f1585,f2105]) ).
fof(f532,plain,
( e12 = op1(e12,e13)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
fof(f2103,plain,
( ~ spl42_302
| spl42_209 ),
inference(avatar_split_clause,[],[f526,f1564,f2095]) ).
fof(f526,plain,
( e13 = op1(e13,e10)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f2102,plain,
( ~ spl42_302
| spl42_205 ),
inference(avatar_split_clause,[],[f527,f1547,f2095]) ).
fof(f527,plain,
( e13 = op1(e10,e13)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2101,plain,
( ~ spl42_302
| ~ spl42_268 ),
inference(avatar_split_clause,[],[f528,f1829,f2095]) ).
fof(f528,plain,
( e10 != op1(e10,e10)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2100,plain,
( ~ spl42_302
| ~ spl42_263 ),
inference(avatar_split_clause,[],[f529,f1801,f2095]) ).
fof(f529,plain,
( e10 != op1(e11,e11)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2093,plain,
( ~ spl42_301
| spl42_210 ),
inference(avatar_split_clause,[],[f520,f1568,f2085]) ).
fof(f520,plain,
( e13 = op1(e13,e11)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2082,plain,
( ~ spl42_300
| spl42_207 ),
inference(avatar_split_clause,[],[f515,f1555,f2075]) ).
fof(f515,plain,
( e13 = op1(e12,e13)
| ~ sP41 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f2056,plain,
( spl42_292
| spl42_293
| spl42_294
| spl42_295 ),
inference(avatar_split_clause,[],[f505,f2053,f2049,f2045,f2041]) ).
fof(f505,plain,
( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 )
& ( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) )
& ( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) )
& ( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) )
& ( e23 = op2(e23,op2(e23,e20))
| e22 = op2(e22,op2(e22,e20))
| e21 = op2(e21,op2(e21,e20))
| e20 = op2(e20,op2(e20,e20)) ) ),
inference(definition_folding,[],[f11,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& 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,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) ) )
& ( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) )
& ( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) )
& ( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) )
& ( e23 = op2(e23,op2(e23,e20))
| e22 = op2(e22,op2(e22,e20))
| e21 = op2(e21,op2(e21,e20))
| e20 = op2(e20,op2(e20,e20)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2039,plain,
( spl42_288
| spl42_289
| spl42_290
| spl42_291 ),
inference(avatar_split_clause,[],[f506,f2036,f2032,f2028,f2024]) ).
fof(f506,plain,
( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f2022,plain,
( spl42_284
| spl42_285
| spl42_286
| spl42_287 ),
inference(avatar_split_clause,[],[f507,f2019,f2015,f2011,f2007]) ).
fof(f507,plain,
( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f2005,plain,
( spl42_283
| spl42_282
| spl42_281
| spl42_280
| spl42_279
| spl42_278
| spl42_277
| spl42_276
| spl42_275
| spl42_274
| spl42_273
| spl42_272
| spl42_271
| spl42_270
| spl42_269
| spl42_144 ),
inference(avatar_split_clause,[],[f508,f1255,f1851,f1861,f1871,f1881,f1891,f1901,f1911,f1921,f1931,f1941,f1951,f1961,f1971,f1981,f1991]) ).
fof(f1991,plain,
( spl42_283
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_283])]) ).
fof(f1981,plain,
( spl42_282
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_282])]) ).
fof(f1971,plain,
( spl42_281
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_281])]) ).
fof(f1961,plain,
( spl42_280
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_280])]) ).
fof(f1951,plain,
( spl42_279
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_279])]) ).
fof(f1941,plain,
( spl42_278
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_278])]) ).
fof(f1931,plain,
( spl42_277
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_277])]) ).
fof(f1921,plain,
( spl42_276
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_276])]) ).
fof(f1911,plain,
( spl42_275
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_275])]) ).
fof(f1901,plain,
( spl42_274
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_274])]) ).
fof(f1891,plain,
( spl42_273
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_273])]) ).
fof(f1881,plain,
( spl42_272
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_272])]) ).
fof(f1871,plain,
( spl42_271
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_271])]) ).
fof(f1861,plain,
( spl42_270
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_270])]) ).
fof(f1851,plain,
( spl42_269
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_269])]) ).
fof(f508,plain,
( e23 = op2(e23,e23)
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f49]) ).
fof(f1999,plain,
( ~ spl42_283
| spl42_204 ),
inference(avatar_split_clause,[],[f498,f1525,f1991]) ).
fof(f498,plain,
( e20 = op2(e20,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1997,plain,
( ~ spl42_283
| ~ spl42_204 ),
inference(avatar_split_clause,[],[f500,f1525,f1991]) ).
fof(f500,plain,
( e20 != op2(e20,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f92]) ).
fof(f1984,plain,
( ~ spl42_282
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f497,f1315,f1981]) ).
fof(f497,plain,
( e21 != op2(e23,e23)
| ~ sP13 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1979,plain,
( ~ spl42_281
| spl42_184 ),
inference(avatar_split_clause,[],[f486,f1429,f1971]) ).
fof(f486,plain,
( e20 = op2(e20,e22)
| ~ sP14 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1978,plain,
( ~ spl42_281
| spl42_187 ),
inference(avatar_split_clause,[],[f487,f1442,f1971]) ).
fof(f487,plain,
( e20 = op2(e22,e20)
| ~ sP14 ),
inference(cnf_transformation,[],[f90]) ).
fof(f1969,plain,
( ~ spl42_280
| spl42_162 ),
inference(avatar_split_clause,[],[f480,f1333,f1961]) ).
fof(f480,plain,
( e20 = op2(e20,e23)
| ~ sP15 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1958,plain,
( ~ spl42_279
| spl42_195 ),
inference(avatar_split_clause,[],[f475,f1479,f1951]) ).
fof(f475,plain,
( e21 = op2(e20,e21)
| ~ sP16 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1957,plain,
( ~ spl42_279
| ~ spl42_204 ),
inference(avatar_split_clause,[],[f476,f1525,f1951]) ).
fof(f476,plain,
( e20 != op2(e20,e20)
| ~ sP16 ),
inference(cnf_transformation,[],[f88]) ).
fof(f1956,plain,
( ~ spl42_279
| ~ spl42_199 ),
inference(avatar_split_clause,[],[f477,f1497,f1951]) ).
fof(f477,plain,
( e20 != op2(e21,e21)
| ~ sP16 ),
inference(cnf_transformation,[],[f88]) ).
fof(f1944,plain,
( ~ spl42_278
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f473,f1315,f1941]) ).
fof(f473,plain,
( e21 != op2(e23,e23)
| ~ sP17 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1939,plain,
( ~ spl42_277
| spl42_180 ),
inference(avatar_split_clause,[],[f462,f1411,f1931]) ).
fof(f462,plain,
( e21 = op2(e21,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1938,plain,
( ~ spl42_277
| spl42_183 ),
inference(avatar_split_clause,[],[f463,f1424,f1931]) ).
fof(f463,plain,
( e21 = op2(e22,e21)
| ~ sP18 ),
inference(cnf_transformation,[],[f86]) ).
fof(f1935,plain,
( ~ spl42_277
| ~ spl42_176 ),
inference(avatar_split_clause,[],[f466,f1393,f1931]) ).
fof(f466,plain,
( e22 != op2(e22,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f86]) ).
fof(f1929,plain,
( ~ spl42_276
| spl42_156 ),
inference(avatar_split_clause,[],[f456,f1307,f1921]) ).
fof(f456,plain,
( e21 = op2(e21,e23)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f1919,plain,
( ~ spl42_275
| spl42_177 ),
inference(avatar_split_clause,[],[f450,f1398,f1911]) ).
fof(f450,plain,
( e22 = op2(e22,e20)
| ~ sP20 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1918,plain,
( ~ spl42_275
| spl42_174 ),
inference(avatar_split_clause,[],[f451,f1385,f1911]) ).
fof(f451,plain,
( e22 = op2(e20,e22)
| ~ sP20 ),
inference(cnf_transformation,[],[f84]) ).
fof(f1917,plain,
( ~ spl42_275
| ~ spl42_204 ),
inference(avatar_split_clause,[],[f452,f1525,f1911]) ).
fof(f452,plain,
( e20 != op2(e20,e20)
| ~ sP20 ),
inference(cnf_transformation,[],[f84]) ).
fof(f1915,plain,
( ~ spl42_275
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f454,f1437,f1911]) ).
fof(f454,plain,
( e20 != op2(e22,e22)
| ~ sP20 ),
inference(cnf_transformation,[],[f84]) ).
fof(f1904,plain,
( ~ spl42_274
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f449,f1315,f1901]) ).
fof(f449,plain,
( e21 != op2(e23,e23)
| ~ sP21 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f1899,plain,
( ~ spl42_273
| spl42_176 ),
inference(avatar_split_clause,[],[f438,f1393,f1891]) ).
fof(f438,plain,
( e22 = op2(e22,e22)
| ~ sP22 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1895,plain,
( ~ spl42_273
| ~ spl42_176 ),
inference(avatar_split_clause,[],[f442,f1393,f1891]) ).
fof(f442,plain,
( e22 != op2(e22,e22)
| ~ sP22 ),
inference(cnf_transformation,[],[f82]) ).
fof(f1889,plain,
( ~ spl42_272
| spl42_150 ),
inference(avatar_split_clause,[],[f432,f1281,f1881]) ).
fof(f432,plain,
( e22 = op2(e22,e23)
| ~ sP23 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f1879,plain,
( ~ spl42_271
| spl42_145 ),
inference(avatar_split_clause,[],[f426,f1260,f1871]) ).
fof(f426,plain,
( e23 = op2(e23,e20)
| ~ sP24 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f1878,plain,
( ~ spl42_271
| spl42_141 ),
inference(avatar_split_clause,[],[f427,f1243,f1871]) ).
fof(f427,plain,
( e23 = op2(e20,e23)
| ~ sP24 ),
inference(cnf_transformation,[],[f80]) ).
fof(f1877,plain,
( ~ spl42_271
| ~ spl42_204 ),
inference(avatar_split_clause,[],[f428,f1525,f1871]) ).
fof(f428,plain,
( e20 != op2(e20,e20)
| ~ sP24 ),
inference(cnf_transformation,[],[f80]) ).
fof(f1869,plain,
( ~ spl42_270
| spl42_146 ),
inference(avatar_split_clause,[],[f420,f1264,f1861]) ).
fof(f420,plain,
( e23 = op2(e23,e21)
| ~ sP25 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f1858,plain,
( ~ spl42_269
| spl42_143 ),
inference(avatar_split_clause,[],[f415,f1251,f1851]) ).
fof(f415,plain,
( e23 = op2(e22,e23)
| ~ sP26 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f1833,plain,
( spl42_268
| spl42_262
| spl42_248
| spl42_226 ),
inference(avatar_split_clause,[],[f366,f1637,f1733,f1797,f1829]) ).
fof(f366,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1832,plain,
( spl42_268
| spl42_264
| spl42_251
| spl42_230 ),
inference(avatar_split_clause,[],[f367,f1654,f1746,f1806,f1829]) ).
fof(f367,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1826,plain,
( spl42_267
| spl42_261
| spl42_246
| spl42_223 ),
inference(avatar_split_clause,[],[f369,f1624,f1724,f1792,f1823]) ).
fof(f369,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1821,plain,
( spl42_266
| spl42_256
| spl42_238
| spl42_212 ),
inference(avatar_split_clause,[],[f370,f1577,f1689,f1769,f1817]) ).
fof(f370,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1814,plain,
( spl42_265
| spl42_255
| spl42_236
| spl42_209 ),
inference(avatar_split_clause,[],[f373,f1564,f1680,f1764,f1811]) ).
fof(f373,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1809,plain,
( spl42_264
| spl42_263
| spl42_249
| spl42_227 ),
inference(avatar_split_clause,[],[f374,f1641,f1737,f1801,f1806]) ).
fof(f374,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1804,plain,
( spl42_262
| spl42_263
| spl42_252
| spl42_231 ),
inference(avatar_split_clause,[],[f375,f1658,f1750,f1801,f1797]) ).
fof(f375,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1795,plain,
( spl42_261
| spl42_260
| spl42_244
| spl42_220 ),
inference(avatar_split_clause,[],[f376,f1611,f1715,f1787,f1792]) ).
fof(f376,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1790,plain,
( spl42_259
| spl42_260
| spl42_247
| spl42_224 ),
inference(avatar_split_clause,[],[f377,f1628,f1728,f1787,f1783]) ).
fof(f377,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1781,plain,
( spl42_258
| spl42_257
| spl42_239
| spl42_213 ),
inference(avatar_split_clause,[],[f378,f1581,f1693,f1773,f1778]) ).
fof(f378,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1767,plain,
( spl42_255
| spl42_254
| spl42_234
| spl42_206 ),
inference(avatar_split_clause,[],[f380,f1551,f1671,f1759,f1764]) ).
fof(f380,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1762,plain,
( spl42_253
| spl42_254
| spl42_237
| spl42_210 ),
inference(avatar_split_clause,[],[f381,f1568,f1684,f1759,f1755]) ).
fof(f381,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1744,plain,
( spl42_248
| spl42_249
| spl42_250
| spl42_232 ),
inference(avatar_split_clause,[],[f383,f1662,f1741,f1737,f1733]) ).
fof(f383,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1731,plain,
( spl42_246
| spl42_247
| spl42_245
| spl42_221 ),
inference(avatar_split_clause,[],[f384,f1615,f1719,f1728,f1724]) ).
fof(f384,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1709,plain,
( spl42_241
| spl42_242
| spl42_240
| spl42_214 ),
inference(avatar_split_clause,[],[f386,f1585,f1697,f1706,f1702]) ).
fof(f386,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1700,plain,
( spl42_238
| spl42_239
| spl42_240
| spl42_218 ),
inference(avatar_split_clause,[],[f387,f1602,f1697,f1693,f1689]) ).
fof(f387,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1678,plain,
( spl42_233
| spl42_234
| spl42_235
| spl42_211 ),
inference(avatar_split_clause,[],[f389,f1572,f1675,f1671,f1667]) ).
fof(f389,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1665,plain,
( spl42_230
| spl42_231
| spl42_232
| spl42_229 ),
inference(avatar_split_clause,[],[f390,f1649,f1662,f1658,f1654]) ).
fof(f390,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1592,plain,
( spl42_212
| spl42_213
| spl42_214
| spl42_215 ),
inference(avatar_split_clause,[],[f395,f1589,f1585,f1581,f1577]) ).
fof(f395,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1575,plain,
( spl42_209
| spl42_210
| spl42_211
| spl42_208 ),
inference(avatar_split_clause,[],[f396,f1559,f1572,f1568,f1564]) ).
fof(f396,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1562,plain,
( spl42_205
| spl42_206
| spl42_207
| spl42_208 ),
inference(avatar_split_clause,[],[f397,f1559,f1555,f1551,f1547]) ).
fof(f397,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1542,plain,
( spl42_162
| spl42_155
| spl42_148
| spl42_141 ),
inference(avatar_split_clause,[],[f353,f1243,f1273,f1303,f1333]) ).
fof(f353,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1541,plain,
( spl42_200
| spl42_197
| spl42_194
| spl42_191 ),
inference(avatar_split_clause,[],[f354,f1460,f1474,f1488,f1502]) ).
fof(f354,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1529,plain,
( spl42_204
| spl42_198
| spl42_184
| spl42_162 ),
inference(avatar_split_clause,[],[f318,f1333,f1429,f1493,f1525]) ).
fof(f318,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1523,plain,
( spl42_203
| spl42_195
| spl42_179
| spl42_155 ),
inference(avatar_split_clause,[],[f320,f1303,f1407,f1479,f1519]) ).
fof(f320,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1517,plain,
( spl42_202
| spl42_192
| spl42_174
| spl42_148 ),
inference(avatar_split_clause,[],[f322,f1273,f1385,f1465,f1513]) ).
fof(f322,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1510,plain,
( spl42_201
| spl42_191
| spl42_172
| spl42_145 ),
inference(avatar_split_clause,[],[f325,f1260,f1376,f1460,f1507]) ).
fof(f325,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1505,plain,
( spl42_200
| spl42_199
| spl42_185
| spl42_163 ),
inference(avatar_split_clause,[],[f326,f1337,f1433,f1497,f1502]) ).
fof(f326,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1500,plain,
( spl42_198
| spl42_199
| spl42_188
| spl42_167 ),
inference(avatar_split_clause,[],[f327,f1354,f1446,f1497,f1493]) ).
fof(f327,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1486,plain,
( spl42_195
| spl42_196
| spl42_183
| spl42_160 ),
inference(avatar_split_clause,[],[f329,f1324,f1424,f1483,f1479]) ).
fof(f329,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1463,plain,
( spl42_191
| spl42_190
| spl42_170
| spl42_142 ),
inference(avatar_split_clause,[],[f332,f1247,f1367,f1455,f1460]) ).
fof(f332,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1458,plain,
( spl42_189
| spl42_190
| spl42_173
| spl42_146 ),
inference(avatar_split_clause,[],[f333,f1264,f1380,f1455,f1451]) ).
fof(f333,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1440,plain,
( spl42_184
| spl42_185
| spl42_186
| spl42_168 ),
inference(avatar_split_clause,[],[f335,f1358,f1437,f1433,f1429]) ).
fof(f335,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1418,plain,
( spl42_179
| spl42_180
| spl42_181
| spl42_161 ),
inference(avatar_split_clause,[],[f337,f1328,f1415,f1411,f1407]) ).
fof(f337,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1405,plain,
( spl42_177
| spl42_178
| spl42_176
| spl42_150 ),
inference(avatar_split_clause,[],[f338,f1281,f1393,f1402,f1398]) ).
fof(f338,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1396,plain,
( spl42_174
| spl42_175
| spl42_176
| spl42_154 ),
inference(avatar_split_clause,[],[f339,f1298,f1393,f1389,f1385]) ).
fof(f339,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1383,plain,
( spl42_172
| spl42_173
| spl42_171
| spl42_143 ),
inference(avatar_split_clause,[],[f340,f1251,f1371,f1380,f1376]) ).
fof(f340,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1374,plain,
( spl42_169
| spl42_170
| spl42_171
| spl42_147 ),
inference(avatar_split_clause,[],[f341,f1268,f1371,f1367,f1363]) ).
fof(f341,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1361,plain,
( spl42_166
| spl42_167
| spl42_168
| spl42_165 ),
inference(avatar_split_clause,[],[f342,f1345,f1358,f1354,f1350]) ).
fof(f342,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1288,plain,
( spl42_148
| spl42_149
| spl42_150
| spl42_151 ),
inference(avatar_split_clause,[],[f347,f1285,f1281,f1277,f1273]) ).
fof(f347,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1271,plain,
( spl42_145
| spl42_146
| spl42_147
| spl42_144 ),
inference(avatar_split_clause,[],[f348,f1255,f1268,f1264,f1260]) ).
fof(f348,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1258,plain,
( spl42_141
| spl42_142
| spl42_143
| spl42_144 ),
inference(avatar_split_clause,[],[f349,f1255,f1251,f1247,f1243]) ).
fof(f349,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1239,plain,
spl42_17,
inference(avatar_split_clause,[],[f204,f691]) ).
fof(f204,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f1059,plain,
( ~ spl42_81
| ~ spl42_82
| ~ spl42_83
| ~ spl42_84
| ~ spl42_85
| ~ spl42_86
| ~ spl42_87
| ~ spl42_88
| ~ spl42_89
| ~ spl42_90
| ~ spl42_91
| ~ spl42_92
| ~ spl42_93
| ~ spl42_94
| ~ spl42_95
| ~ spl42_96
| spl42_26
| spl42_21
| spl42_16
| ~ spl42_98 ),
inference(avatar_split_clause,[],[f166,f1056,f687,f711,f735,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019,f1015,f1011,f1007,f1003,f999,f995,f991,f987]) ).
fof(f735,plain,
( spl42_26
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).
fof(f711,plain,
( spl42_21
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).
fof(f687,plain,
( spl42_16
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).
fof(f166,plain,
( e23 != h3(e12)
| 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(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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f757,plain,
( ~ spl42_26
| ~ spl42_30 ),
inference(avatar_split_clause,[],[f128,f754,f735]) ).
fof(f128,plain,
( e20 != h3(e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f728,plain,
( ~ spl42_21
| ~ spl42_24 ),
inference(avatar_split_clause,[],[f125,f725,f711]) ).
fof(f125,plain,
( e21 != h3(e11)
| ~ sP7 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f694,plain,
( ~ spl42_16
| ~ spl42_17 ),
inference(avatar_split_clause,[],[f123,f691,f687]) ).
fof(f123,plain,
( e22 != h3(e13)
| ~ sP8 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG106+1 : TPTP v8.2.0. Released v2.7.0.
% 0.03/0.11 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 17:02:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 This is a FOF_THM_RFO_PEQ problem
% 0.11/0.35 Running first-order theorem proving
% 0.11/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 % (9311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (9318)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)
% 0.19/0.41 % (9311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (9315)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)
% 0.19/0.41 % (9311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (9313)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.19/0.41 % (9311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (9317)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)
% 0.19/0.43 % (9311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.43 % (9314)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)
% 0.19/0.43 % (9311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.43 % (9316)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.19/0.44 % (9311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.44 % (9312)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)
% 0.19/0.47 % (9318)Instruction limit reached!
% 0.19/0.47 % (9318)------------------------------
% 0.19/0.47 % (9318)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.47 % (9318)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.47 % (9318)Termination reason: Time limit
% 0.19/0.47 % (9318)Termination phase: Saturation
% 0.19/0.47
% 0.19/0.47 % (9318)Memory used [KB]: 1710
% 0.19/0.47 % (9318)Time elapsed: 0.056 s
% 0.19/0.47 % (9318)Instructions burned: 125 (million)
% 0.19/0.48 % (9317)Instruction limit reached!
% 0.19/0.48 % (9317)------------------------------
% 0.19/0.48 % (9317)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.48 % (9317)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.48 % (9317)Termination reason: Time limit
% 0.19/0.48 % (9317)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (9317)Memory used [KB]: 3302
% 0.19/0.48 % (9317)Time elapsed: 0.067 s
% 0.19/0.48 % (9317)Instructions burned: 133 (million)
% 0.19/0.49 % (9316)Instruction limit reached!
% 0.19/0.49 % (9316)------------------------------
% 0.19/0.49 % (9316)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.49 % (9316)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.49 % (9316)Termination reason: Time limit
% 0.19/0.49 % (9316)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (9316)Memory used [KB]: 2214
% 0.19/0.49 % (9316)Time elapsed: 0.056 s
% 0.19/0.49 % (9316)Instructions burned: 110 (million)
% 0.19/0.49 % (9313)First to succeed.
% 0.19/0.51 % (9313)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9311"
% 0.19/0.51 % (9311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.51 % (9313)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (9313)------------------------------
% 0.19/0.51 % (9313)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.51 % (9313)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.51 % (9313)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (9313)Memory used [KB]: 2607
% 0.19/0.51 % (9313)Time elapsed: 0.094 s
% 0.19/0.51 % (9313)Instructions burned: 245 (million)
% 0.19/0.51 % (9313)------------------------------
% 0.19/0.51 % (9313)------------------------------
% 0.19/0.51 % (9311)Success in time 0.15 s
%------------------------------------------------------------------------------