TSTP Solution File: ALG127+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG127+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:55 EDT 2022
% Result : Theorem 3.21s 0.84s
% Output : Refutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 268
% Syntax : Number of formulae : 1396 ( 140 unt; 0 def)
% Number of atoms : 5855 (3217 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 7740 (3281 ~;3304 |; 952 &)
% ( 203 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 253 ( 251 usr; 252 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5968,plain,
$false,
inference(avatar_sat_refutation,[],[f717,f782,f826,f865,f874,f923,f1015,f1026,f1047,f1057,f1171,f1270,f1381,f1419,f1421,f1482,f1574,f1601,f1611,f1616,f1625,f1635,f1653,f1676,f1685,f1702,f1715,f1721,f1726,f1744,f1753,f1754,f1760,f1785,f1791,f1801,f1811,f1818,f1825,f1841,f1863,f1876,f1878,f1910,f1915,f1921,f1926,f1937,f1949,f2007,f2021,f2022,f2027,f2029,f2036,f2043,f2048,f2050,f2054,f2062,f2072,f2075,f2077,f2078,f2079,f2092,f2094,f2102,f2110,f2111,f2113,f2138,f2142,f2144,f2146,f2152,f2153,f2155,f2157,f2161,f2163,f2164,f2176,f2179,f2182,f2183,f2184,f2194,f2201,f2203,f2208,f2211,f2226,f2230,f2237,f2239,f2241,f2245,f2263,f2280,f2325,f2329,f2352,f2354,f2355,f2358,f2365,f2369,f2372,f2383,f2384,f2385,f2391,f2392,f2396,f2403,f2417,f2419,f2420,f2422,f2429,f2434,f2465,f2467,f2468,f2472,f2479,f2507,f2508,f2554,f2562,f2568,f2569,f2573,f2589,f2596,f2616,f2627,f2655,f2680,f2690,f2694,f2698,f2726,f2732,f2761,f2769,f2772,f2791,f2809,f2815,f2857,f2908,f2910,f2911,f2912,f2919,f2925,f2941,f2945,f2948,f2983,f3005,f3017,f3071,f3075,f3083,f3100,f3138,f3148,f3150,f3168,f3193,f3267,f3281,f3291,f3296,f3306,f3331,f3340,f3357,f3413,f3418,f3421,f3447,f3457,f3458,f3461,f3463,f3474,f3494,f3559,f3574,f3579,f3582,f3588,f3597,f3602,f3611,f3614,f3616,f3618,f3650,f3652,f3656,f3692,f3735,f3742,f3752,f3754,f3758,f3837,f3859,f3875,f3890,f3914,f3939,f3956,f3981,f4000,f4020,f4040,f4060,f4070,f4089,f4108,f4125,f4130,f4154,f4186,f4212,f4231,f4260,f4267,f4304,f4377,f4546,f4558,f4605,f4658,f4670,f4697,f4714,f4727,f4746,f4777,f4801,f4830,f4861,f4895,f4912,f4929,f4932,f4937,f4949,f4952,f4967,f4969,f4982,f4991,f4992,f5009,f5061,f5098,f5145,f5206,f5208,f5228,f5244,f5294,f5324,f5347,f5385,f5420,f5495,f5522,f5586,f5596,f5597,f5629,f5677,f5685,f5695,f5712,f5841,f5936,f5942,f5963]) ).
fof(f5963,plain,
( ~ spl48_29
| ~ spl48_70
| spl48_197 ),
inference(avatar_contradiction_clause,[],[f5962]) ).
fof(f5962,plain,
( $false
| ~ spl48_29
| ~ spl48_70
| spl48_197 ),
inference(subsumption_resolution,[],[f5961,f953]) ).
fof(f953,plain,
( e21 = op2(e21,e21)
| ~ spl48_70 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl48_70
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_70])]) ).
fof(f5961,plain,
( e21 != op2(e21,e21)
| ~ spl48_29
| spl48_197 ),
inference(forward_demodulation,[],[f5960,f1902]) ).
fof(f1902,plain,
e21 = h3(e11),
inference(forward_demodulation,[],[f1901,f1420]) ).
fof(f1420,plain,
h3(e11) = op2(e22,op2(e22,h3(e13))),
inference(forward_demodulation,[],[f477,f476]) ).
fof(f476,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,op2(e22,op2(e22,e22))) = h3(e11)
& op2(e22,e22) = h3(e13)
& op2(e22,op2(e22,e22)) = h3(e10)
& e22 = h3(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f477,plain,
op2(e22,op2(e22,op2(e22,e22))) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f1901,plain,
e21 = op2(e22,op2(e22,h3(e13))),
inference(forward_demodulation,[],[f152,f476]) ).
fof(f152,plain,
e21 = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e20 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22)
& e21 = op2(e22,op2(e22,op2(e22,e22))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f5960,plain,
( op2(e21,e21) != h3(e11)
| ~ spl48_29
| spl48_197 ),
inference(forward_demodulation,[],[f5959,f776]) ).
fof(f776,plain,
( e11 = op1(e11,e11)
| ~ spl48_29 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f775,plain,
( spl48_29
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_29])]) ).
fof(f5959,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| spl48_197 ),
inference(forward_demodulation,[],[f1526,f1902]) ).
fof(f1526,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl48_197 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1524,plain,
( spl48_197
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_197])]) ).
fof(f5942,plain,
( ~ spl48_47
| spl48_188
| ~ spl48_250
| ~ spl48_293 ),
inference(avatar_contradiction_clause,[],[f5941]) ).
fof(f5941,plain,
( $false
| ~ spl48_47
| spl48_188
| ~ spl48_250
| ~ spl48_293 ),
inference(subsumption_resolution,[],[f5940,f2189]) ).
fof(f2189,plain,
( e22 = op2(e21,e22)
| ~ spl48_293 ),
inference(avatar_component_clause,[],[f2187]) ).
fof(f2187,plain,
( spl48_293
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_293])]) ).
fof(f5940,plain,
( e22 != op2(e21,e22)
| ~ spl48_47
| spl48_188
| ~ spl48_250 ),
inference(forward_demodulation,[],[f5939,f1823]) ).
fof(f1823,plain,
( e22 = h3(e12)
| ~ spl48_250 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f1822,plain,
( spl48_250
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_250])]) ).
fof(f5939,plain,
( op2(e21,e22) != h3(e12)
| ~ spl48_47
| spl48_188
| ~ spl48_250 ),
inference(forward_demodulation,[],[f5938,f856]) ).
fof(f856,plain,
( e12 = op1(e11,e12)
| ~ spl48_47 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f854,plain,
( spl48_47
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_47])]) ).
fof(f5938,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| spl48_188
| ~ spl48_250 ),
inference(forward_demodulation,[],[f5937,f1902]) ).
fof(f5937,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| spl48_188
| ~ spl48_250 ),
inference(forward_demodulation,[],[f1490,f1823]) ).
fof(f1490,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl48_188 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1488,plain,
( spl48_188
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_188])]) ).
fof(f5936,plain,
( ~ spl48_143
| ~ spl48_169
| spl48_198
| ~ spl48_256 ),
inference(avatar_contradiction_clause,[],[f5935]) ).
fof(f5935,plain,
( $false
| ~ spl48_143
| ~ spl48_169
| spl48_198
| ~ spl48_256 ),
inference(subsumption_resolution,[],[f5934,f1856]) ).
fof(f1856,plain,
( e23 = op2(e21,e23)
| ~ spl48_256 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1854,plain,
( spl48_256
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_256])]) ).
fof(f5934,plain,
( e23 != op2(e21,e23)
| ~ spl48_143
| ~ spl48_169
| spl48_198 ),
inference(forward_demodulation,[],[f5933,f1393]) ).
fof(f1393,plain,
( e23 = h3(e13)
| ~ spl48_169 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1391,plain,
( spl48_169
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_169])]) ).
fof(f5933,plain,
( op2(e21,e23) != h3(e13)
| ~ spl48_143
| ~ spl48_169
| spl48_198 ),
inference(forward_demodulation,[],[f5932,f1275]) ).
fof(f1275,plain,
( e13 = op1(e11,e13)
| ~ spl48_143 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1273,plain,
( spl48_143
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_143])]) ).
fof(f5932,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl48_169
| spl48_198 ),
inference(forward_demodulation,[],[f5931,f1902]) ).
fof(f5931,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| ~ spl48_169
| spl48_198 ),
inference(forward_demodulation,[],[f1530,f1393]) ).
fof(f1530,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl48_198 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1528,plain,
( spl48_198
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_198])]) ).
fof(f5841,plain,
( ~ spl48_169
| ~ spl48_178
| spl48_206
| ~ spl48_284
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f5840]) ).
fof(f5840,plain,
( $false
| ~ spl48_169
| ~ spl48_178
| spl48_206
| ~ spl48_284
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f5839,f1442]) ).
fof(f1442,plain,
( e21 = op2(e20,e23)
| ~ spl48_178 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f1440,plain,
( spl48_178
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_178])]) ).
fof(f5839,plain,
( e21 != op2(e20,e23)
| ~ spl48_169
| spl48_206
| ~ spl48_284
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5838,f1902]) ).
fof(f5838,plain,
( op2(e20,e23) != h3(e11)
| ~ spl48_169
| spl48_206
| ~ spl48_284
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5837,f2034]) ).
fof(f2034,plain,
( e11 = op1(e10,e13)
| ~ spl48_284 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f2032,plain,
( spl48_284
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_284])]) ).
fof(f5837,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl48_169
| spl48_206
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5836,f2174]) ).
fof(f2174,plain,
( e20 = h3(e10)
| ~ spl48_292 ),
inference(avatar_component_clause,[],[f2173]) ).
fof(f2173,plain,
( spl48_292
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_292])]) ).
fof(f5836,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| ~ spl48_169
| spl48_206 ),
inference(forward_demodulation,[],[f1562,f1393]) ).
fof(f1562,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl48_206 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1560,plain,
( spl48_206
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_206])]) ).
fof(f5712,plain,
( ~ spl48_67
| ~ spl48_79
| spl48_194
| ~ spl48_250
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f5711]) ).
fof(f5711,plain,
( $false
| ~ spl48_67
| ~ spl48_79
| spl48_194
| ~ spl48_250
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f5512,f939]) ).
fof(f939,plain,
( e20 = op2(e20,e22)
| ~ spl48_67 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f937,plain,
( spl48_67
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_67])]) ).
fof(f5512,plain,
( e20 != op2(e20,e22)
| ~ spl48_79
| spl48_194
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5511,f2174]) ).
fof(f5511,plain,
( op2(e20,e22) != h3(e10)
| ~ spl48_79
| spl48_194
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5510,f994]) ).
fof(f994,plain,
( e10 = op1(e10,e12)
| ~ spl48_79 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f993,plain,
( spl48_79
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_79])]) ).
fof(f5510,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| spl48_194
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5509,f2174]) ).
fof(f5509,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| spl48_194
| ~ spl48_250 ),
inference(forward_demodulation,[],[f1514,f1823]) ).
fof(f1514,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl48_194 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1512,plain,
( spl48_194
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_194])]) ).
fof(f5695,plain,
( ~ spl48_226
| ~ spl48_67 ),
inference(avatar_split_clause,[],[f5691,f937,f1668]) ).
fof(f1668,plain,
( spl48_226
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_226])]) ).
fof(f5691,plain,
( e20 != h1(e13)
| ~ spl48_67 ),
inference(backward_demodulation,[],[f2250,f939]) ).
fof(f2250,plain,
op2(e20,e22) != h1(e13),
inference(backward_demodulation,[],[f488,f164]) ).
fof(f164,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e13)
& h1(e11) = op2(e20,op2(e20,op2(e20,e20)))
& e20 = h1(e12)
& h1(e10) = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f488,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e21) != op2(e21,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e22,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e20) != op2(e23,e20)
& op2(e23,e22) != op2(e23,e23)
& op2(e21,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e22,e21)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e20,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f5685,plain,
( ~ spl48_226
| ~ spl48_248 ),
inference(avatar_split_clause,[],[f5684,f1808,f1668]) ).
fof(f1808,plain,
( spl48_248
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_248])]) ).
fof(f5684,plain,
( e20 != h1(e13)
| ~ spl48_248 ),
inference(forward_demodulation,[],[f2251,f1810]) ).
fof(f1810,plain,
( e20 = op2(e21,e20)
| ~ spl48_248 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f2251,plain,
op2(e21,e20) != h1(e13),
inference(backward_demodulation,[],[f490,f164]) ).
fof(f490,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f5677,plain,
( spl48_190
| ~ spl48_208
| ~ spl48_248
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f5676]) ).
fof(f5676,plain,
( $false
| spl48_190
| ~ spl48_208
| ~ spl48_248
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f5171,f1810]) ).
fof(f5171,plain,
( e20 != op2(e21,e20)
| spl48_190
| ~ spl48_208
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5170,f2174]) ).
fof(f5170,plain,
( op2(e21,e20) != h3(e10)
| spl48_190
| ~ spl48_208
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5169,f1573]) ).
fof(f1573,plain,
( e10 = op1(e11,e10)
| ~ spl48_208 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f1571,plain,
( spl48_208
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_208])]) ).
fof(f5169,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| spl48_190
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5168,f1902]) ).
fof(f5168,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| spl48_190
| ~ spl48_292 ),
inference(forward_demodulation,[],[f1498,f2174]) ).
fof(f1498,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl48_190 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f1496,plain,
( spl48_190
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_190])]) ).
fof(f5629,plain,
( ~ spl48_169
| spl48_202
| ~ spl48_262
| ~ spl48_279
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f5628]) ).
fof(f5628,plain,
( $false
| ~ spl48_169
| spl48_202
| ~ spl48_262
| ~ spl48_279
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f5440,f1997]) ).
fof(f1997,plain,
( e23 = op2(e20,e21)
| ~ spl48_279 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f1995,plain,
( spl48_279
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_279])]) ).
fof(f5440,plain,
( e23 != op2(e20,e21)
| ~ spl48_169
| spl48_202
| ~ spl48_262
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5439,f1393]) ).
fof(f5439,plain,
( op2(e20,e21) != h3(e13)
| spl48_202
| ~ spl48_262
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5438,f1887]) ).
fof(f1887,plain,
( e13 = op1(e10,e11)
| ~ spl48_262 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1885,plain,
( spl48_262
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_262])]) ).
fof(f5438,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| spl48_202
| ~ spl48_292 ),
inference(forward_demodulation,[],[f5437,f2174]) ).
fof(f5437,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| spl48_202 ),
inference(forward_demodulation,[],[f1546,f1902]) ).
fof(f1546,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl48_202 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1544,plain,
( spl48_202
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_202])]) ).
fof(f5597,plain,
( ~ spl48_281
| ~ spl48_279 ),
inference(avatar_split_clause,[],[f5594,f1995,f2003]) ).
fof(f2003,plain,
( spl48_281
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_281])]) ).
fof(f5594,plain,
( e23 != h2(e13)
| ~ spl48_279 ),
inference(backward_demodulation,[],[f2273,f1997]) ).
fof(f2273,plain,
op2(e20,e21) != h2(e13),
inference(forward_demodulation,[],[f525,f381]) ).
fof(f381,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( h2(e11) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e10) = op2(e21,op2(e21,e21))
& e21 = h2(e12)
& op2(e21,e21) = h2(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f525,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5596,plain,
( ~ spl48_311
| ~ spl48_279 ),
inference(avatar_split_clause,[],[f5593,f1995,f2399]) ).
fof(f2399,plain,
( spl48_311
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_311])]) ).
fof(f5593,plain,
( e23 != h1(e13)
| ~ spl48_279 ),
inference(backward_demodulation,[],[f2254,f1997]) ).
fof(f2254,plain,
op2(e20,e21) != h1(e13),
inference(backward_demodulation,[],[f515,f164]) ).
fof(f515,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5586,plain,
( ~ spl48_78
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3594,f1692,f988]) ).
fof(f988,plain,
( spl48_78
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_78])]) ).
fof(f1692,plain,
( spl48_231
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_231])]) ).
fof(f3594,plain,
( e20 != op2(e20,e23)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f483,f1694]) ).
fof(f1694,plain,
( e20 = op2(e22,e23)
| ~ spl48_231 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f483,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5522,plain,
( ~ spl48_79
| ~ spl48_107
| spl48_110
| ~ spl48_212
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f5521]) ).
fof(f5521,plain,
( $false
| ~ spl48_79
| ~ spl48_107
| spl48_110
| ~ spl48_212
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f5520,f1593]) ).
fof(f1593,plain,
( e21 = op2(e21,e23)
| ~ spl48_212 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1592,plain,
( spl48_212
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_212])]) ).
fof(f5520,plain,
( e21 != op2(e21,e23)
| ~ spl48_79
| ~ spl48_107
| spl48_110
| ~ spl48_265 ),
inference(forward_demodulation,[],[f5519,f1908]) ).
fof(f1908,plain,
( e21 = h4(e10)
| ~ spl48_265 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1907,plain,
( spl48_265
<=> e21 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_265])]) ).
fof(f5519,plain,
( op2(e21,e23) != h4(e10)
| ~ spl48_79
| ~ spl48_107
| spl48_110
| ~ spl48_265 ),
inference(forward_demodulation,[],[f5518,f994]) ).
fof(f5518,plain,
( op2(e21,e23) != h4(op1(e10,e12))
| ~ spl48_107
| spl48_110
| ~ spl48_265 ),
inference(forward_demodulation,[],[f5517,f1908]) ).
fof(f5517,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| ~ spl48_107
| spl48_110 ),
inference(forward_demodulation,[],[f1138,f1125]) ).
fof(f1125,plain,
( e23 = h4(e12)
| ~ spl48_107 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1124,plain,
( spl48_107
<=> e23 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_107])]) ).
fof(f1138,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl48_110 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1136,plain,
( spl48_110
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_110])]) ).
fof(f5495,plain,
( ~ spl48_80
| spl48_104
| ~ spl48_107
| ~ spl48_211
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f5494]) ).
fof(f5494,plain,
( $false
| ~ spl48_80
| spl48_104
| ~ spl48_107
| ~ spl48_211
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f5493,f1589]) ).
fof(f1589,plain,
( e23 = op2(e21,e21)
| ~ spl48_211 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1588,plain,
( spl48_211
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_211])]) ).
fof(f5493,plain,
( e23 != op2(e21,e21)
| ~ spl48_80
| spl48_104
| ~ spl48_107
| ~ spl48_265 ),
inference(forward_demodulation,[],[f5492,f1125]) ).
fof(f5492,plain,
( op2(e21,e21) != h4(e12)
| ~ spl48_80
| spl48_104
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4196,f998]) ).
fof(f998,plain,
( op1(e10,e10) = e12
| ~ spl48_80 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f997,plain,
( spl48_80
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_80])]) ).
fof(f4196,plain,
( op2(e21,e21) != h4(op1(e10,e10))
| spl48_104
| ~ spl48_265 ),
inference(forward_demodulation,[],[f1114,f1908]) ).
fof(f1114,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl48_104 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1112,plain,
( spl48_104
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_104])]) ).
fof(f5420,plain,
( ~ spl48_259
| ~ spl48_80 ),
inference(avatar_split_clause,[],[f5411,f997,f1869]) ).
fof(f1869,plain,
( spl48_259
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_259])]) ).
fof(f5411,plain,
( e12 != op1(e10,e12)
| ~ spl48_80 ),
inference(backward_demodulation,[],[f435,f998]) ).
fof(f435,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e12,e10) != op1(e12,e11)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e13,e11) != op1(e13,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e13,e10) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e11) != op1(e12,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e11,e12)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e10) != op1(e10,e13)
& op1(e13,e12) != op1(e13,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e13,e11) != op1(e13,e12)
& op1(e10,e10) != op1(e11,e10)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f5385,plain,
( ~ spl48_285
| ~ spl48_284 ),
inference(avatar_split_clause,[],[f5381,f2032,f2045]) ).
fof(f2045,plain,
( spl48_285
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_285])]) ).
fof(f5381,plain,
( e11 != op1(e10,e12)
| ~ spl48_284 ),
inference(backward_demodulation,[],[f454,f2034]) ).
fof(f454,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5347,plain,
( ~ spl48_42
| ~ spl48_29 ),
inference(avatar_split_clause,[],[f5346,f775,f832]) ).
fof(f832,plain,
( spl48_42
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_42])]) ).
fof(f5346,plain,
( e11 != op1(e13,e11)
| ~ spl48_29 ),
inference(forward_demodulation,[],[f447,f776]) ).
fof(f447,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5324,plain,
( ~ spl48_29
| ~ spl48_60
| spl48_109
| ~ spl48_236 ),
inference(avatar_contradiction_clause,[],[f5323]) ).
fof(f5323,plain,
( $false
| ~ spl48_29
| ~ spl48_60
| spl48_109
| ~ spl48_236 ),
inference(subsumption_resolution,[],[f5317,f1724]) ).
fof(f1724,plain,
( e20 = h4(e11)
| ~ spl48_236 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1723,plain,
( spl48_236
<=> e20 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_236])]) ).
fof(f5317,plain,
( e20 != h4(e11)
| ~ spl48_29
| ~ spl48_60
| spl48_109
| ~ spl48_236 ),
inference(backward_demodulation,[],[f5213,f776]) ).
fof(f5213,plain,
( e20 != h4(op1(e11,e11))
| ~ spl48_60
| spl48_109
| ~ spl48_236 ),
inference(forward_demodulation,[],[f4640,f909]) ).
fof(f909,plain,
( e20 = op2(e20,e20)
| ~ spl48_60 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f908,plain,
( spl48_60
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_60])]) ).
fof(f4640,plain,
( op2(e20,e20) != h4(op1(e11,e11))
| spl48_109
| ~ spl48_236 ),
inference(forward_demodulation,[],[f1134,f1724]) ).
fof(f1134,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl48_109 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1132,plain,
( spl48_109
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_109])]) ).
fof(f5294,plain,
( ~ spl48_64
| spl48_118
| ~ spl48_143
| ~ spl48_236
| ~ spl48_239 ),
inference(avatar_contradiction_clause,[],[f5293]) ).
fof(f5293,plain,
( $false
| ~ spl48_64
| spl48_118
| ~ spl48_143
| ~ spl48_236
| ~ spl48_239 ),
inference(subsumption_resolution,[],[f5289,f1742]) ).
fof(f1742,plain,
( e22 = h4(e13)
| ~ spl48_239 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl48_239
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_239])]) ).
fof(f5289,plain,
( e22 != h4(e13)
| ~ spl48_64
| spl48_118
| ~ spl48_143
| ~ spl48_236
| ~ spl48_239 ),
inference(backward_demodulation,[],[f5024,f1275]) ).
fof(f5024,plain,
( e22 != h4(op1(e11,e13))
| ~ spl48_64
| spl48_118
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4596,f927]) ).
fof(f927,plain,
( e22 = op2(e20,e22)
| ~ spl48_64 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl48_64
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_64])]) ).
fof(f4596,plain,
( op2(e20,e22) != h4(op1(e11,e13))
| spl48_118
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4595,f1724]) ).
fof(f4595,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e22)
| spl48_118
| ~ spl48_239 ),
inference(forward_demodulation,[],[f1170,f1742]) ).
fof(f1170,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl48_118 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1168,plain,
( spl48_118
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_118])]) ).
fof(f5244,plain,
( ~ spl48_40
| ~ spl48_47 ),
inference(avatar_contradiction_clause,[],[f5243]) ).
fof(f5243,plain,
( $false
| ~ spl48_40
| ~ spl48_47 ),
inference(subsumption_resolution,[],[f5242,f391]) ).
fof(f391,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e11 != e13
& e12 != e13
& e11 != e12
& e10 != e13
& e10 != e11
& e10 != e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f5242,plain,
( e11 = e12
| ~ spl48_40
| ~ spl48_47 ),
inference(forward_demodulation,[],[f825,f856]) ).
fof(f825,plain,
( e11 = op1(e11,e12)
| ~ spl48_40 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f823,plain,
( spl48_40
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_40])]) ).
fof(f5228,plain,
( ~ spl48_283
| ~ spl48_240 ),
inference(avatar_split_clause,[],[f5227,f1746,f2018]) ).
fof(f2018,plain,
( spl48_283
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_283])]) ).
fof(f1746,plain,
( spl48_240
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_240])]) ).
fof(f5227,plain,
( e12 != op1(e13,e12)
| ~ spl48_240 ),
inference(forward_demodulation,[],[f452,f1748]) ).
fof(f1748,plain,
( e12 = op1(e13,e10)
| ~ spl48_240 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f452,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5208,plain,
( ~ spl48_284
| ~ spl48_12 ),
inference(avatar_split_clause,[],[f5207,f706,f2032]) ).
fof(f706,plain,
( spl48_12
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_12])]) ).
fof(f5207,plain,
( e11 != op1(e10,e13)
| ~ spl48_12 ),
inference(forward_demodulation,[],[f437,f708]) ).
fof(f708,plain,
( e11 = op1(e13,e13)
| ~ spl48_12 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f437,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5206,plain,
( ~ spl48_229
| ~ spl48_285 ),
inference(avatar_split_clause,[],[f5205,f2045,f1682]) ).
fof(f1682,plain,
( spl48_229
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_229])]) ).
fof(f5205,plain,
( e11 != op1(e13,e12)
| ~ spl48_285 ),
inference(forward_demodulation,[],[f431,f2047]) ).
fof(f2047,plain,
( e11 = op1(e10,e12)
| ~ spl48_285 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f431,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5145,plain,
( ~ spl48_260
| ~ spl48_172 ),
inference(avatar_split_clause,[],[f2836,f1411,f1873]) ).
fof(f1873,plain,
( spl48_260
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_260])]) ).
fof(f1411,plain,
( spl48_172
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_172])]) ).
fof(f2836,plain,
( e12 != op1(e10,e11)
| ~ spl48_172 ),
inference(forward_demodulation,[],[f457,f1412]) ).
fof(f1412,plain,
( e12 = op1(e12,e11)
| ~ spl48_172 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f457,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5098,plain,
( spl48_105
| ~ spl48_236
| ~ spl48_239
| ~ spl48_247
| ~ spl48_262
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f5097]) ).
fof(f5097,plain,
( $false
| spl48_105
| ~ spl48_236
| ~ spl48_239
| ~ spl48_247
| ~ spl48_262
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f5095,f1742]) ).
fof(f5095,plain,
( e22 != h4(e13)
| spl48_105
| ~ spl48_236
| ~ spl48_247
| ~ spl48_262
| ~ spl48_265 ),
inference(backward_demodulation,[],[f4939,f1887]) ).
fof(f4939,plain,
( e22 != h4(op1(e10,e11))
| spl48_105
| ~ spl48_236
| ~ spl48_247
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4615,f1806]) ).
fof(f1806,plain,
( e22 = op2(e21,e20)
| ~ spl48_247 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f1804,plain,
( spl48_247
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_247])]) ).
fof(f4615,plain,
( op2(e21,e20) != h4(op1(e10,e11))
| spl48_105
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4614,f1908]) ).
fof(f4614,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e20)
| spl48_105
| ~ spl48_236 ),
inference(forward_demodulation,[],[f1118,f1724]) ).
fof(f1118,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl48_105 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1116,plain,
( spl48_105
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_105])]) ).
fof(f5061,plain,
( spl48_112
| ~ spl48_179
| ~ spl48_208
| ~ spl48_236
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f5060]) ).
fof(f5060,plain,
( $false
| spl48_112
| ~ spl48_179
| ~ spl48_208
| ~ spl48_236
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f5059,f1446]) ).
fof(f1446,plain,
( e21 = op2(e20,e21)
| ~ spl48_179 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1444,plain,
( spl48_179
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_179])]) ).
fof(f5059,plain,
( e21 != op2(e20,e21)
| spl48_112
| ~ spl48_208
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f5058,f1908]) ).
fof(f5058,plain,
( op2(e20,e21) != h4(e10)
| spl48_112
| ~ spl48_208
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4433,f1573]) ).
fof(f4433,plain,
( op2(e20,e21) != h4(op1(e11,e10))
| spl48_112
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4432,f1724]) ).
fof(f4432,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e21)
| spl48_112
| ~ spl48_265 ),
inference(forward_demodulation,[],[f1146,f1908]) ).
fof(f1146,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl48_112 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1144,plain,
( spl48_112
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_112])]) ).
fof(f5009,plain,
( ~ spl48_234
| ~ spl48_47 ),
inference(avatar_split_clause,[],[f5008,f854,f1710]) ).
fof(f1710,plain,
( spl48_234
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_234])]) ).
fof(f5008,plain,
( e12 != op1(e11,e13)
| ~ spl48_47 ),
inference(forward_demodulation,[],[f427,f856]) ).
fof(f427,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4992,plain,
( ~ spl48_143
| ~ spl48_14 ),
inference(avatar_split_clause,[],[f4986,f714,f1273]) ).
fof(f714,plain,
( spl48_14
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_14])]) ).
fof(f4986,plain,
( e13 != op1(e11,e13)
| ~ spl48_14 ),
inference(backward_demodulation,[],[f449,f716]) ).
fof(f716,plain,
( e13 = op1(e13,e13)
| ~ spl48_14 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f449,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4991,plain,
( ~ spl48_241
| ~ spl48_14 ),
inference(avatar_split_clause,[],[f4987,f714,f1750]) ).
fof(f1750,plain,
( spl48_241
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_241])]) ).
fof(f4987,plain,
( e13 != op1(e13,e10)
| ~ spl48_14 ),
inference(backward_demodulation,[],[f462,f716]) ).
fof(f462,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4982,plain,
( ~ spl48_47
| ~ spl48_107
| spl48_111
| ~ spl48_236
| ~ spl48_263 ),
inference(avatar_contradiction_clause,[],[f4981]) ).
fof(f4981,plain,
( $false
| ~ spl48_47
| ~ spl48_107
| spl48_111
| ~ spl48_236
| ~ spl48_263 ),
inference(subsumption_resolution,[],[f4980,f1895]) ).
fof(f1895,plain,
( e23 = op2(e20,e23)
| ~ spl48_263 ),
inference(avatar_component_clause,[],[f1893]) ).
fof(f1893,plain,
( spl48_263
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_263])]) ).
fof(f4980,plain,
( e23 != op2(e20,e23)
| ~ spl48_47
| ~ spl48_107
| spl48_111
| ~ spl48_236 ),
inference(forward_demodulation,[],[f4979,f1125]) ).
fof(f4979,plain,
( op2(e20,e23) != h4(e12)
| ~ spl48_47
| ~ spl48_107
| spl48_111
| ~ spl48_236 ),
inference(forward_demodulation,[],[f4541,f856]) ).
fof(f4541,plain,
( op2(e20,e23) != h4(op1(e11,e12))
| ~ spl48_107
| spl48_111
| ~ spl48_236 ),
inference(forward_demodulation,[],[f4540,f1724]) ).
fof(f4540,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| ~ spl48_107
| spl48_111 ),
inference(forward_demodulation,[],[f1142,f1125]) ).
fof(f1142,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl48_111 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1140,plain,
( spl48_111
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_111])]) ).
fof(f4969,plain,
( spl48_115
| ~ spl48_225
| ~ spl48_236
| ~ spl48_239
| ~ spl48_265
| ~ spl48_284 ),
inference(avatar_contradiction_clause,[],[f4968]) ).
fof(f4968,plain,
( $false
| spl48_115
| ~ spl48_225
| ~ spl48_236
| ~ spl48_239
| ~ spl48_265
| ~ spl48_284 ),
inference(subsumption_resolution,[],[f4962,f1724]) ).
fof(f4962,plain,
( e20 != h4(e11)
| spl48_115
| ~ spl48_225
| ~ spl48_239
| ~ spl48_265
| ~ spl48_284 ),
inference(backward_demodulation,[],[f4950,f2034]) ).
fof(f4950,plain,
( e20 != h4(op1(e10,e13))
| spl48_115
| ~ spl48_225
| ~ spl48_239
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4572,f1663]) ).
fof(f1663,plain,
( e20 = op2(e21,e22)
| ~ spl48_225 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f1661,plain,
( spl48_225
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_225])]) ).
fof(f4572,plain,
( op2(e21,e22) != h4(op1(e10,e13))
| spl48_115
| ~ spl48_239
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4571,f1908]) ).
fof(f4571,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| spl48_115
| ~ spl48_239 ),
inference(forward_demodulation,[],[f1158,f1742]) ).
fof(f1158,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl48_115 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1156,plain,
( spl48_115
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_115])]) ).
fof(f4967,plain,
( ~ spl48_38
| ~ spl48_284 ),
inference(avatar_split_clause,[],[f4966,f2032,f815]) ).
fof(f815,plain,
( spl48_38
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_38])]) ).
fof(f4966,plain,
( e11 != op1(e11,e13)
| ~ spl48_284 ),
inference(backward_demodulation,[],[f444,f2034]) ).
fof(f444,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4952,plain,
( ~ spl48_241
| ~ spl48_266 ),
inference(avatar_split_clause,[],[f4951,f1912,f1750]) ).
fof(f1912,plain,
( spl48_266
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_266])]) ).
fof(f4951,plain,
( e13 != op1(e13,e10)
| ~ spl48_266 ),
inference(forward_demodulation,[],[f430,f1914]) ).
fof(f1914,plain,
( op1(e10,e10) = e13
| ~ spl48_266 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f430,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4949,plain,
( ~ spl48_262
| ~ spl48_266 ),
inference(avatar_split_clause,[],[f4948,f1912,f1885]) ).
fof(f4948,plain,
( e13 != op1(e10,e11)
| ~ spl48_266 ),
inference(forward_demodulation,[],[f448,f1914]) ).
fof(f448,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4937,plain,
( ~ spl48_217
| ~ spl48_227 ),
inference(avatar_split_clause,[],[f3681,f1673,f1618]) ).
fof(f1618,plain,
( spl48_217
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_217])]) ).
fof(f1673,plain,
( spl48_227
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_227])]) ).
fof(f3681,plain,
( e13 != op1(e11,e10)
| ~ spl48_227 ),
inference(forward_demodulation,[],[f450,f1675]) ).
fof(f1675,plain,
( e13 = op1(e11,e11)
| ~ spl48_227 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f450,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4932,plain,
( ~ spl48_29
| ~ spl48_227 ),
inference(avatar_contradiction_clause,[],[f4931]) ).
fof(f4931,plain,
( $false
| ~ spl48_29
| ~ spl48_227 ),
inference(subsumption_resolution,[],[f4930,f393]) ).
fof(f393,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4930,plain,
( e11 = e13
| ~ spl48_29
| ~ spl48_227 ),
inference(forward_demodulation,[],[f776,f1675]) ).
fof(f4929,plain,
( ~ spl48_262
| ~ spl48_227 ),
inference(avatar_split_clause,[],[f4928,f1673,f1885]) ).
fof(f4928,plain,
( e13 != op1(e10,e11)
| ~ spl48_227 ),
inference(forward_demodulation,[],[f442,f1675]) ).
fof(f442,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4912,plain,
( ~ spl48_38
| ~ spl48_169
| spl48_198
| ~ spl48_212 ),
inference(avatar_contradiction_clause,[],[f4911]) ).
fof(f4911,plain,
( $false
| ~ spl48_38
| ~ spl48_169
| spl48_198
| ~ spl48_212 ),
inference(subsumption_resolution,[],[f4910,f1593]) ).
fof(f4910,plain,
( e21 != op2(e21,e23)
| ~ spl48_38
| ~ spl48_169
| spl48_198 ),
inference(forward_demodulation,[],[f4909,f1902]) ).
fof(f4909,plain,
( op2(e21,e23) != h3(e11)
| ~ spl48_38
| ~ spl48_169
| spl48_198 ),
inference(forward_demodulation,[],[f4908,f817]) ).
fof(f817,plain,
( e11 = op1(e11,e13)
| ~ spl48_38 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f4908,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl48_169
| spl48_198 ),
inference(forward_demodulation,[],[f4907,f1902]) ).
fof(f4907,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| ~ spl48_169
| spl48_198 ),
inference(forward_demodulation,[],[f1530,f1393]) ).
fof(f4895,plain,
( ~ spl48_41
| ~ spl48_179
| spl48_202
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4894]) ).
fof(f4894,plain,
( $false
| ~ spl48_41
| ~ spl48_179
| spl48_202
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f4893,f1446]) ).
fof(f4893,plain,
( e21 != op2(e20,e21)
| ~ spl48_41
| spl48_202
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4892,f1902]) ).
fof(f4892,plain,
( op2(e20,e21) != h3(e11)
| ~ spl48_41
| spl48_202
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4891,f830]) ).
fof(f830,plain,
( e11 = op1(e10,e11)
| ~ spl48_41 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f828,plain,
( spl48_41
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_41])]) ).
fof(f4891,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| spl48_202
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4890,f2174]) ).
fof(f4890,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| spl48_202 ),
inference(forward_demodulation,[],[f1546,f1902]) ).
fof(f4861,plain,
( spl48_190
| ~ spl48_218
| ~ spl48_247
| ~ spl48_250
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4860]) ).
fof(f4860,plain,
( $false
| spl48_190
| ~ spl48_218
| ~ spl48_247
| ~ spl48_250
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f4859,f1806]) ).
fof(f4859,plain,
( e22 != op2(e21,e20)
| spl48_190
| ~ spl48_218
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4858,f1823]) ).
fof(f4858,plain,
( op2(e21,e20) != h3(e12)
| spl48_190
| ~ spl48_218
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4857,f1624]) ).
fof(f1624,plain,
( e12 = op1(e11,e10)
| ~ spl48_218 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1622,plain,
( spl48_218
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_218])]) ).
fof(f4857,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| spl48_190
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4856,f1902]) ).
fof(f4856,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| spl48_190
| ~ spl48_292 ),
inference(forward_demodulation,[],[f1498,f2174]) ).
fof(f4830,plain,
( ~ spl48_49
| spl48_188
| ~ spl48_225
| ~ spl48_250
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4829]) ).
fof(f4829,plain,
( $false
| ~ spl48_49
| spl48_188
| ~ spl48_225
| ~ spl48_250
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f4828,f1663]) ).
fof(f4828,plain,
( e20 != op2(e21,e22)
| ~ spl48_49
| spl48_188
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4827,f2174]) ).
fof(f4827,plain,
( op2(e21,e22) != h3(e10)
| ~ spl48_49
| spl48_188
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4826,f864]) ).
fof(f864,plain,
( e10 = op1(e11,e12)
| ~ spl48_49 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl48_49
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_49])]) ).
fof(f4826,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| spl48_188
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4825,f1902]) ).
fof(f4825,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| spl48_188
| ~ spl48_250 ),
inference(forward_demodulation,[],[f1490,f1823]) ).
fof(f4801,plain,
( ~ spl48_89
| ~ spl48_172
| spl48_201
| ~ spl48_250 ),
inference(avatar_contradiction_clause,[],[f4800]) ).
fof(f4800,plain,
( $false
| ~ spl48_89
| ~ spl48_172
| spl48_201
| ~ spl48_250 ),
inference(subsumption_resolution,[],[f4799,f1043]) ).
fof(f1043,plain,
( e22 = op2(e22,e21)
| ~ spl48_89 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1041,plain,
( spl48_89
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_89])]) ).
fof(f4799,plain,
( e22 != op2(e22,e21)
| ~ spl48_172
| spl48_201
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4798,f1823]) ).
fof(f4798,plain,
( op2(e22,e21) != h3(e12)
| ~ spl48_172
| spl48_201
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4797,f1412]) ).
fof(f4797,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| spl48_201
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4796,f1823]) ).
fof(f4796,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| spl48_201 ),
inference(forward_demodulation,[],[f1542,f1902]) ).
fof(f1542,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl48_201 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1540,plain,
( spl48_201
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_201])]) ).
fof(f4777,plain,
( ~ spl48_169
| spl48_197
| ~ spl48_211
| ~ spl48_227 ),
inference(avatar_contradiction_clause,[],[f4776]) ).
fof(f4776,plain,
( $false
| ~ spl48_169
| spl48_197
| ~ spl48_211
| ~ spl48_227 ),
inference(subsumption_resolution,[],[f4775,f1589]) ).
fof(f4775,plain,
( e23 != op2(e21,e21)
| ~ spl48_169
| spl48_197
| ~ spl48_227 ),
inference(forward_demodulation,[],[f4774,f1393]) ).
fof(f4774,plain,
( op2(e21,e21) != h3(e13)
| spl48_197
| ~ spl48_227 ),
inference(forward_demodulation,[],[f4773,f1675]) ).
fof(f4773,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| spl48_197 ),
inference(forward_demodulation,[],[f1526,f1902]) ).
fof(f4746,plain,
( ~ spl48_1
| ~ spl48_169
| ~ spl48_174
| spl48_193
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4745]) ).
fof(f4745,plain,
( $false
| ~ spl48_1
| ~ spl48_169
| ~ spl48_174
| spl48_193
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f4744,f661]) ).
fof(f661,plain,
( e20 = op2(e23,e21)
| ~ spl48_1 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl48_1
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_1])]) ).
fof(f4744,plain,
( e20 != op2(e23,e21)
| ~ spl48_169
| ~ spl48_174
| spl48_193
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4743,f2174]) ).
fof(f4743,plain,
( op2(e23,e21) != h3(e10)
| ~ spl48_169
| ~ spl48_174
| spl48_193 ),
inference(forward_demodulation,[],[f4742,f1425]) ).
fof(f1425,plain,
( e10 = op1(e13,e11)
| ~ spl48_174 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f1423,plain,
( spl48_174
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_174])]) ).
fof(f4742,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| ~ spl48_169
| spl48_193 ),
inference(forward_demodulation,[],[f4741,f1393]) ).
fof(f4741,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| spl48_193 ),
inference(forward_demodulation,[],[f1510,f1902]) ).
fof(f1510,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl48_193 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1508,plain,
( spl48_193
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_193])]) ).
fof(f4727,plain,
( ~ spl48_144
| ~ spl48_169
| spl48_206
| ~ spl48_263
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4726]) ).
fof(f4726,plain,
( $false
| ~ spl48_144
| ~ spl48_169
| spl48_206
| ~ spl48_263
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f4725,f1895]) ).
fof(f4725,plain,
( e23 != op2(e20,e23)
| ~ spl48_144
| ~ spl48_169
| spl48_206
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4724,f1393]) ).
fof(f4724,plain,
( op2(e20,e23) != h3(e13)
| ~ spl48_144
| ~ spl48_169
| spl48_206
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4723,f1279]) ).
fof(f1279,plain,
( e13 = op1(e10,e13)
| ~ spl48_144 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1277,plain,
( spl48_144
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_144])]) ).
fof(f4723,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl48_169
| spl48_206
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4722,f2174]) ).
fof(f4722,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| ~ spl48_169
| spl48_206 ),
inference(forward_demodulation,[],[f1562,f1393]) ).
fof(f4714,plain,
( ~ spl48_169
| ~ spl48_184
| spl48_204
| ~ spl48_250 ),
inference(avatar_contradiction_clause,[],[f4713]) ).
fof(f4713,plain,
( $false
| ~ spl48_169
| ~ spl48_184
| spl48_204
| ~ spl48_250 ),
inference(subsumption_resolution,[],[f4712,f2886]) ).
fof(f2886,plain,
( e23 = op2(e22,e22)
| ~ spl48_169 ),
inference(backward_demodulation,[],[f476,f1393]) ).
fof(f4712,plain,
( e23 != op2(e22,e22)
| ~ spl48_169
| ~ spl48_184
| spl48_204
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4711,f1393]) ).
fof(f4711,plain,
( op2(e22,e22) != h3(e13)
| ~ spl48_184
| spl48_204
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4710,f1472]) ).
fof(f1472,plain,
( e13 = op1(e12,e12)
| ~ spl48_184 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1470,plain,
( spl48_184
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_184])]) ).
fof(f4710,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| spl48_204
| ~ spl48_250 ),
inference(forward_demodulation,[],[f1554,f1823]) ).
fof(f1554,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl48_204 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1552,plain,
( spl48_204
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_204])]) ).
fof(f4697,plain,
( ~ spl48_7
| ~ spl48_9
| ~ spl48_169
| spl48_196
| ~ spl48_250 ),
inference(avatar_contradiction_clause,[],[f4696]) ).
fof(f4696,plain,
( $false
| ~ spl48_7
| ~ spl48_9
| ~ spl48_169
| spl48_196
| ~ spl48_250 ),
inference(subsumption_resolution,[],[f4695,f686]) ).
fof(f686,plain,
( e22 = op2(e23,e23)
| ~ spl48_7 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl48_7
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_7])]) ).
fof(f4695,plain,
( e22 != op2(e23,e23)
| ~ spl48_9
| ~ spl48_169
| spl48_196
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4694,f1823]) ).
fof(f4694,plain,
( op2(e23,e23) != h3(e12)
| ~ spl48_9
| ~ spl48_169
| spl48_196 ),
inference(forward_demodulation,[],[f4693,f694]) ).
fof(f694,plain,
( e12 = op1(e13,e13)
| ~ spl48_9 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f693,plain,
( spl48_9
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_9])]) ).
fof(f4693,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| ~ spl48_169
| spl48_196 ),
inference(forward_demodulation,[],[f1522,f1393]) ).
fof(f1522,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl48_196 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1520,plain,
( spl48_196
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_196])]) ).
fof(f4670,plain,
( ~ spl48_64
| spl48_194
| ~ spl48_250
| ~ spl48_259
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4669]) ).
fof(f4669,plain,
( $false
| ~ spl48_64
| spl48_194
| ~ spl48_250
| ~ spl48_259
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f4668,f927]) ).
fof(f4668,plain,
( e22 != op2(e20,e22)
| spl48_194
| ~ spl48_250
| ~ spl48_259
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4667,f1823]) ).
fof(f4667,plain,
( op2(e20,e22) != h3(e12)
| spl48_194
| ~ spl48_250
| ~ spl48_259
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4666,f1871]) ).
fof(f1871,plain,
( e12 = op1(e10,e12)
| ~ spl48_259 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f4666,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| spl48_194
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4665,f2174]) ).
fof(f4665,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| spl48_194
| ~ spl48_250 ),
inference(forward_demodulation,[],[f1514,f1823]) ).
fof(f4658,plain,
( ~ spl48_94
| ~ spl48_169
| spl48_205
| ~ spl48_231
| ~ spl48_250
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4657]) ).
fof(f4657,plain,
( $false
| ~ spl48_94
| ~ spl48_169
| spl48_205
| ~ spl48_231
| ~ spl48_250
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f4656,f1694]) ).
fof(f4656,plain,
( e20 != op2(e22,e23)
| ~ spl48_94
| ~ spl48_169
| spl48_205
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4655,f2174]) ).
fof(f4655,plain,
( op2(e22,e23) != h3(e10)
| ~ spl48_94
| ~ spl48_169
| spl48_205
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4654,f1070]) ).
fof(f1070,plain,
( e10 = op1(e12,e13)
| ~ spl48_94 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1068,plain,
( spl48_94
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_94])]) ).
fof(f4654,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| ~ spl48_169
| spl48_205
| ~ spl48_250 ),
inference(forward_demodulation,[],[f4653,f1823]) ).
fof(f4653,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| ~ spl48_169
| spl48_205 ),
inference(forward_demodulation,[],[f1558,f1393]) ).
fof(f1558,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl48_205 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1556,plain,
( spl48_205
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_205])]) ).
fof(f4605,plain,
( ~ spl48_35
| ~ spl48_169
| spl48_192
| ~ spl48_241
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4604]) ).
fof(f4604,plain,
( $false
| ~ spl48_35
| ~ spl48_169
| spl48_192
| ~ spl48_241
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f4603,f802]) ).
fof(f802,plain,
( e23 = op2(e23,e20)
| ~ spl48_35 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl48_35
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_35])]) ).
fof(f4603,plain,
( e23 != op2(e23,e20)
| ~ spl48_169
| spl48_192
| ~ spl48_241
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4602,f1393]) ).
fof(f4602,plain,
( op2(e23,e20) != h3(e13)
| ~ spl48_169
| spl48_192
| ~ spl48_241
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4601,f1752]) ).
fof(f1752,plain,
( e13 = op1(e13,e10)
| ~ spl48_241 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f4601,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| ~ spl48_169
| spl48_192
| ~ spl48_292 ),
inference(forward_demodulation,[],[f4600,f1393]) ).
fof(f4600,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| spl48_192
| ~ spl48_292 ),
inference(forward_demodulation,[],[f1506,f2174]) ).
fof(f1506,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl48_192 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1504,plain,
( spl48_192
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_192])]) ).
fof(f4558,plain,
( spl48_7
| ~ spl48_239 ),
inference(avatar_split_clause,[],[f4547,f1741,f684]) ).
fof(f4547,plain,
( e22 = op2(e23,e23)
| ~ spl48_239 ),
inference(backward_demodulation,[],[f379,f1742]) ).
fof(f379,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( h4(e11) = op2(e23,op2(e23,op2(e23,e23)))
& op2(e23,e23) = h4(e13)
& h4(e10) = op2(e23,op2(e23,e23))
& e23 = h4(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f4546,plain,
( ~ spl48_60
| ~ spl48_141
| spl48_187
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f4545]) ).
fof(f4545,plain,
( $false
| ~ spl48_60
| ~ spl48_141
| spl48_187
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f3591,f909]) ).
fof(f3591,plain,
( e20 != op2(e20,e20)
| ~ spl48_141
| spl48_187
| ~ spl48_292 ),
inference(forward_demodulation,[],[f3590,f2174]) ).
fof(f3590,plain,
( op2(e20,e20) != h3(e10)
| ~ spl48_141
| spl48_187
| ~ spl48_292 ),
inference(forward_demodulation,[],[f3589,f1265]) ).
fof(f1265,plain,
( e10 = op1(e10,e10)
| ~ spl48_141 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1263,plain,
( spl48_141
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_141])]) ).
fof(f3589,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| spl48_187
| ~ spl48_292 ),
inference(forward_demodulation,[],[f1486,f2174]) ).
fof(f1486,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl48_187 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1484,plain,
( spl48_187
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_187])]) ).
fof(f4377,plain,
( ~ spl48_60
| ~ spl48_232 ),
inference(avatar_contradiction_clause,[],[f4376]) ).
fof(f4376,plain,
( $false
| ~ spl48_60
| ~ spl48_232 ),
inference(subsumption_resolution,[],[f4375,f157]) ).
fof(f157,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e23
& e22 != e23
& e20 != e21
& e20 != e22
& e21 != e23
& e21 != e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f4375,plain,
( e20 = e22
| ~ spl48_60
| ~ spl48_232 ),
inference(forward_demodulation,[],[f909,f1701]) ).
fof(f1701,plain,
( op2(e20,e20) = e22
| ~ spl48_232 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f1699,plain,
( spl48_232
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_232])]) ).
fof(f4304,plain,
( ~ spl48_293
| ~ spl48_8 ),
inference(avatar_split_clause,[],[f4303,f688,f2187]) ).
fof(f688,plain,
( spl48_8
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_8])]) ).
fof(f4303,plain,
( e22 != op2(e21,e22)
| ~ spl48_8 ),
inference(backward_demodulation,[],[f497,f690]) ).
fof(f690,plain,
( e22 = op2(e23,e22)
| ~ spl48_8 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f497,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4267,plain,
( ~ spl48_79
| ~ spl48_49 ),
inference(avatar_split_clause,[],[f3659,f862,f993]) ).
fof(f3659,plain,
( e10 != op1(e10,e12)
| ~ spl48_49 ),
inference(forward_demodulation,[],[f471,f864]) ).
fof(f471,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4260,plain,
( ~ spl48_212
| ~ spl48_72 ),
inference(avatar_split_clause,[],[f4244,f961,f1592]) ).
fof(f961,plain,
( spl48_72
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_72])]) ).
fof(f4244,plain,
( e21 != op2(e21,e23)
| ~ spl48_72 ),
inference(backward_demodulation,[],[f2404,f962]) ).
fof(f962,plain,
( e21 = h4(e13)
| ~ spl48_72 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f2404,plain,
op2(e21,e23) != h4(e13),
inference(forward_demodulation,[],[f518,f379]) ).
fof(f518,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4231,plain,
( ~ spl48_264
| ~ spl48_263 ),
inference(avatar_split_clause,[],[f4230,f1893,f1897]) ).
fof(f1897,plain,
( spl48_264
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_264])]) ).
fof(f4230,plain,
( e23 != h4(e13)
| ~ spl48_263 ),
inference(forward_demodulation,[],[f1927,f1895]) ).
fof(f1927,plain,
op2(e20,e23) != h4(e13),
inference(forward_demodulation,[],[f479,f379]) ).
fof(f479,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4212,plain,
( ~ spl48_224
| ~ spl48_179 ),
inference(avatar_split_clause,[],[f4211,f1444,f1655]) ).
fof(f1655,plain,
( spl48_224
<=> e21 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_224])]) ).
fof(f4211,plain,
( e21 != h2(e13)
| ~ spl48_179 ),
inference(forward_demodulation,[],[f2273,f1446]) ).
fof(f4186,plain,
( ~ spl48_225
| ~ spl48_67 ),
inference(avatar_split_clause,[],[f4185,f937,f1661]) ).
fof(f4185,plain,
( e20 != op2(e21,e22)
| ~ spl48_67 ),
inference(forward_demodulation,[],[f504,f939]) ).
fof(f504,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4154,plain,
( ~ spl48_242
| ~ spl48_1 ),
inference(avatar_split_clause,[],[f4153,f659,f1764]) ).
fof(f1764,plain,
( spl48_242
<=> e20 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_242])]) ).
fof(f4153,plain,
( e20 != h2(e13)
| ~ spl48_1 ),
inference(forward_demodulation,[],[f1787,f661]) ).
fof(f1787,plain,
op2(e23,e21) != h2(e13),
inference(backward_demodulation,[],[f521,f381]) ).
fof(f521,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4130,plain,
( ~ spl48_145
| ~ spl48_184 ),
inference(avatar_contradiction_clause,[],[f4129]) ).
fof(f4129,plain,
( $false
| ~ spl48_145
| ~ spl48_184 ),
inference(subsumption_resolution,[],[f4128,f392]) ).
fof(f392,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4128,plain,
( e12 = e13
| ~ spl48_145
| ~ spl48_184 ),
inference(forward_demodulation,[],[f1286,f1472]) ).
fof(f1286,plain,
( e12 = op1(e12,e12)
| ~ spl48_145 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1285,plain,
( spl48_145
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_145])]) ).
fof(f4125,plain,
( ~ spl48_184
| ~ spl48_235 ),
inference(avatar_contradiction_clause,[],[f4124]) ).
fof(f4124,plain,
( $false
| ~ spl48_184
| ~ spl48_235 ),
inference(subsumption_resolution,[],[f3720,f1719]) ).
fof(f1719,plain,
( e13 = op1(e10,e12)
| ~ spl48_235 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1717,plain,
( spl48_235
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_235])]) ).
fof(f3720,plain,
( e13 != op1(e10,e12)
| ~ spl48_184 ),
inference(forward_demodulation,[],[f451,f1472]) ).
fof(f451,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4108,plain,
( ~ spl48_38
| ~ spl48_67
| spl48_118
| ~ spl48_236
| ~ spl48_239 ),
inference(avatar_contradiction_clause,[],[f4107]) ).
fof(f4107,plain,
( $false
| ~ spl48_38
| ~ spl48_67
| spl48_118
| ~ spl48_236
| ~ spl48_239 ),
inference(subsumption_resolution,[],[f4106,f939]) ).
fof(f4106,plain,
( e20 != op2(e20,e22)
| ~ spl48_38
| spl48_118
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4105,f1724]) ).
fof(f4105,plain,
( op2(e20,e22) != h4(e11)
| ~ spl48_38
| spl48_118
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4104,f817]) ).
fof(f4104,plain,
( op2(e20,e22) != h4(op1(e11,e13))
| spl48_118
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4103,f1724]) ).
fof(f4103,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e22)
| spl48_118
| ~ spl48_239 ),
inference(forward_demodulation,[],[f1170,f1742]) ).
fof(f4089,plain,
( ~ spl48_89
| spl48_117
| ~ spl48_239
| ~ spl48_241
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f4088]) ).
fof(f4088,plain,
( $false
| ~ spl48_89
| spl48_117
| ~ spl48_239
| ~ spl48_241
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f4087,f1043]) ).
fof(f4087,plain,
( e22 != op2(e22,e21)
| spl48_117
| ~ spl48_239
| ~ spl48_241
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4086,f1742]) ).
fof(f4086,plain,
( op2(e22,e21) != h4(e13)
| spl48_117
| ~ spl48_239
| ~ spl48_241
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4085,f1752]) ).
fof(f4085,plain,
( op2(e22,e21) != h4(op1(e13,e10))
| spl48_117
| ~ spl48_239
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4084,f1742]) ).
fof(f4084,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e21)
| spl48_117
| ~ spl48_265 ),
inference(forward_demodulation,[],[f1166,f1908]) ).
fof(f1166,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl48_117 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1164,plain,
( spl48_117
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_117])]) ).
fof(f4070,plain,
( spl48_115
| ~ spl48_144
| ~ spl48_239
| ~ spl48_265
| ~ spl48_293 ),
inference(avatar_contradiction_clause,[],[f4069]) ).
fof(f4069,plain,
( $false
| spl48_115
| ~ spl48_144
| ~ spl48_239
| ~ spl48_265
| ~ spl48_293 ),
inference(subsumption_resolution,[],[f4068,f2189]) ).
fof(f4068,plain,
( e22 != op2(e21,e22)
| spl48_115
| ~ spl48_144
| ~ spl48_239
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4067,f1742]) ).
fof(f4067,plain,
( op2(e21,e22) != h4(e13)
| spl48_115
| ~ spl48_144
| ~ spl48_239
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4066,f1279]) ).
fof(f4066,plain,
( op2(e21,e22) != h4(op1(e10,e13))
| spl48_115
| ~ spl48_239
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4065,f1908]) ).
fof(f4065,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| spl48_115
| ~ spl48_239 ),
inference(forward_demodulation,[],[f1158,f1742]) ).
fof(f4060,plain,
( ~ spl48_107
| spl48_113
| ~ spl48_229
| ~ spl48_231
| ~ spl48_236
| ~ spl48_239 ),
inference(avatar_contradiction_clause,[],[f4059]) ).
fof(f4059,plain,
( $false
| ~ spl48_107
| spl48_113
| ~ spl48_229
| ~ spl48_231
| ~ spl48_236
| ~ spl48_239 ),
inference(subsumption_resolution,[],[f4058,f1694]) ).
fof(f4058,plain,
( e20 != op2(e22,e23)
| ~ spl48_107
| spl48_113
| ~ spl48_229
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4057,f1724]) ).
fof(f4057,plain,
( op2(e22,e23) != h4(e11)
| ~ spl48_107
| spl48_113
| ~ spl48_229
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4056,f1684]) ).
fof(f1684,plain,
( e11 = op1(e13,e12)
| ~ spl48_229 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f4056,plain,
( op2(e22,e23) != h4(op1(e13,e12))
| ~ spl48_107
| spl48_113
| ~ spl48_239 ),
inference(forward_demodulation,[],[f4055,f1742]) ).
fof(f4055,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| ~ spl48_107
| spl48_113 ),
inference(forward_demodulation,[],[f1150,f1125]) ).
fof(f1150,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl48_113 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1148,plain,
( spl48_113
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_113])]) ).
fof(f4040,plain,
( ~ spl48_107
| spl48_112
| ~ spl48_218
| ~ spl48_236
| ~ spl48_265
| ~ spl48_279 ),
inference(avatar_contradiction_clause,[],[f4039]) ).
fof(f4039,plain,
( $false
| ~ spl48_107
| spl48_112
| ~ spl48_218
| ~ spl48_236
| ~ spl48_265
| ~ spl48_279 ),
inference(subsumption_resolution,[],[f4038,f1997]) ).
fof(f4038,plain,
( e23 != op2(e20,e21)
| ~ spl48_107
| spl48_112
| ~ spl48_218
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4037,f1125]) ).
fof(f4037,plain,
( op2(e20,e21) != h4(e12)
| spl48_112
| ~ spl48_218
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4036,f1624]) ).
fof(f4036,plain,
( op2(e20,e21) != h4(op1(e11,e10))
| spl48_112
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4035,f1724]) ).
fof(f4035,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e21)
| spl48_112
| ~ spl48_265 ),
inference(forward_demodulation,[],[f1146,f1908]) ).
fof(f4020,plain,
( ~ spl48_49
| ~ spl48_107
| spl48_111
| ~ spl48_178
| ~ spl48_236
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f4019]) ).
fof(f4019,plain,
( $false
| ~ spl48_49
| ~ spl48_107
| spl48_111
| ~ spl48_178
| ~ spl48_236
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f4018,f1442]) ).
fof(f4018,plain,
( e21 != op2(e20,e23)
| ~ spl48_49
| ~ spl48_107
| spl48_111
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f4017,f1908]) ).
fof(f4017,plain,
( op2(e20,e23) != h4(e10)
| ~ spl48_49
| ~ spl48_107
| spl48_111
| ~ spl48_236 ),
inference(forward_demodulation,[],[f4016,f864]) ).
fof(f4016,plain,
( op2(e20,e23) != h4(op1(e11,e12))
| ~ spl48_107
| spl48_111
| ~ spl48_236 ),
inference(forward_demodulation,[],[f4015,f1724]) ).
fof(f4015,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| ~ spl48_107
| spl48_111 ),
inference(forward_demodulation,[],[f1142,f1125]) ).
fof(f4000,plain,
( ~ spl48_107
| spl48_110
| ~ spl48_256
| ~ spl48_259
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f3999]) ).
fof(f3999,plain,
( $false
| ~ spl48_107
| spl48_110
| ~ spl48_256
| ~ spl48_259
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f3998,f1856]) ).
fof(f3998,plain,
( e23 != op2(e21,e23)
| ~ spl48_107
| spl48_110
| ~ spl48_259
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3997,f1125]) ).
fof(f3997,plain,
( op2(e21,e23) != h4(e12)
| ~ spl48_107
| spl48_110
| ~ spl48_259
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3996,f1871]) ).
fof(f3996,plain,
( op2(e21,e23) != h4(op1(e10,e12))
| ~ spl48_107
| spl48_110
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3995,f1908]) ).
fof(f3995,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| ~ spl48_107
| spl48_110 ),
inference(forward_demodulation,[],[f1138,f1125]) ).
fof(f3981,plain,
( spl48_109
| ~ spl48_227
| ~ spl48_232
| ~ spl48_236
| ~ spl48_239 ),
inference(avatar_contradiction_clause,[],[f3980]) ).
fof(f3980,plain,
( $false
| spl48_109
| ~ spl48_227
| ~ spl48_232
| ~ spl48_236
| ~ spl48_239 ),
inference(subsumption_resolution,[],[f3979,f1701]) ).
fof(f3979,plain,
( op2(e20,e20) != e22
| spl48_109
| ~ spl48_227
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f3978,f1742]) ).
fof(f3978,plain,
( op2(e20,e20) != h4(e13)
| spl48_109
| ~ spl48_227
| ~ spl48_236 ),
inference(forward_demodulation,[],[f3977,f1675]) ).
fof(f3977,plain,
( op2(e20,e20) != h4(op1(e11,e11))
| spl48_109
| ~ spl48_236 ),
inference(forward_demodulation,[],[f1134,f1724]) ).
fof(f3956,plain,
( ~ spl48_1
| ~ spl48_107
| spl48_108
| ~ spl48_236
| ~ spl48_238
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f3955]) ).
fof(f3955,plain,
( $false
| ~ spl48_1
| ~ spl48_107
| spl48_108
| ~ spl48_236
| ~ spl48_238
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f3954,f661]) ).
fof(f3954,plain,
( e20 != op2(e23,e21)
| ~ spl48_107
| spl48_108
| ~ spl48_236
| ~ spl48_238
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3953,f1724]) ).
fof(f3953,plain,
( op2(e23,e21) != h4(e11)
| ~ spl48_107
| spl48_108
| ~ spl48_238
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3952,f1736]) ).
fof(f1736,plain,
( e11 = op1(e12,e10)
| ~ spl48_238 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f1734,plain,
( spl48_238
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_238])]) ).
fof(f3952,plain,
( op2(e23,e21) != h4(op1(e12,e10))
| ~ spl48_107
| spl48_108
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3951,f1125]) ).
fof(f3951,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e21)
| spl48_108
| ~ spl48_265 ),
inference(forward_demodulation,[],[f1130,f1908]) ).
fof(f1130,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl48_108 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1128,plain,
( spl48_108
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_108])]) ).
fof(f3939,plain,
( ~ spl48_9
| spl48_106
| ~ spl48_107
| ~ spl48_169
| ~ spl48_239 ),
inference(avatar_contradiction_clause,[],[f3938]) ).
fof(f3938,plain,
( $false
| ~ spl48_9
| spl48_106
| ~ spl48_107
| ~ spl48_169
| ~ spl48_239 ),
inference(subsumption_resolution,[],[f3937,f2886]) ).
fof(f3937,plain,
( e23 != op2(e22,e22)
| ~ spl48_9
| spl48_106
| ~ spl48_107
| ~ spl48_239 ),
inference(forward_demodulation,[],[f3936,f1125]) ).
fof(f3936,plain,
( op2(e22,e22) != h4(e12)
| ~ spl48_9
| spl48_106
| ~ spl48_239 ),
inference(forward_demodulation,[],[f3935,f694]) ).
fof(f3935,plain,
( op2(e22,e22) != h4(op1(e13,e13))
| spl48_106
| ~ spl48_239 ),
inference(forward_demodulation,[],[f1122,f1742]) ).
fof(f1122,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl48_106 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1120,plain,
( spl48_106
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_106])]) ).
fof(f3914,plain,
( ~ spl48_41
| spl48_105
| ~ spl48_236
| ~ spl48_248
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f3913]) ).
fof(f3913,plain,
( $false
| ~ spl48_41
| spl48_105
| ~ spl48_236
| ~ spl48_248
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f3912,f1810]) ).
fof(f3912,plain,
( e20 != op2(e21,e20)
| ~ spl48_41
| spl48_105
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3911,f1724]) ).
fof(f3911,plain,
( op2(e21,e20) != h4(e11)
| ~ spl48_41
| spl48_105
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3910,f830]) ).
fof(f3910,plain,
( op2(e21,e20) != h4(op1(e10,e11))
| spl48_105
| ~ spl48_236
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3909,f1908]) ).
fof(f3909,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e20)
| spl48_105
| ~ spl48_236 ),
inference(forward_demodulation,[],[f1118,f1724]) ).
fof(f3890,plain,
( ~ spl48_35
| spl48_103
| ~ spl48_107
| ~ spl48_172
| ~ spl48_236 ),
inference(avatar_contradiction_clause,[],[f3889]) ).
fof(f3889,plain,
( $false
| ~ spl48_35
| spl48_103
| ~ spl48_107
| ~ spl48_172
| ~ spl48_236 ),
inference(subsumption_resolution,[],[f3888,f802]) ).
fof(f3888,plain,
( e23 != op2(e23,e20)
| spl48_103
| ~ spl48_107
| ~ spl48_172
| ~ spl48_236 ),
inference(forward_demodulation,[],[f3887,f1125]) ).
fof(f3887,plain,
( op2(e23,e20) != h4(e12)
| spl48_103
| ~ spl48_107
| ~ spl48_172
| ~ spl48_236 ),
inference(forward_demodulation,[],[f3886,f1412]) ).
fof(f3886,plain,
( op2(e23,e20) != h4(op1(e12,e11))
| spl48_103
| ~ spl48_107
| ~ spl48_236 ),
inference(forward_demodulation,[],[f3885,f1125]) ).
fof(f3885,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e20)
| spl48_103
| ~ spl48_236 ),
inference(forward_demodulation,[],[f1110,f1724]) ).
fof(f1110,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl48_103 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1108,plain,
( spl48_103
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_103])]) ).
fof(f3875,plain,
( spl48_102
| ~ spl48_174
| ~ spl48_223
| ~ spl48_236
| ~ spl48_239
| ~ spl48_265 ),
inference(avatar_contradiction_clause,[],[f3874]) ).
fof(f3874,plain,
( $false
| spl48_102
| ~ spl48_174
| ~ spl48_223
| ~ spl48_236
| ~ spl48_239
| ~ spl48_265 ),
inference(subsumption_resolution,[],[f3873,f1650]) ).
fof(f1650,plain,
( e21 = op2(e22,e20)
| ~ spl48_223 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1648,plain,
( spl48_223
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_223])]) ).
fof(f3873,plain,
( e21 != op2(e22,e20)
| spl48_102
| ~ spl48_174
| ~ spl48_236
| ~ spl48_239
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3872,f1908]) ).
fof(f3872,plain,
( op2(e22,e20) != h4(e10)
| spl48_102
| ~ spl48_174
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f3871,f1425]) ).
fof(f3871,plain,
( op2(e22,e20) != h4(op1(e13,e11))
| spl48_102
| ~ spl48_236
| ~ spl48_239 ),
inference(forward_demodulation,[],[f3870,f1742]) ).
fof(f3870,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e20)
| spl48_102
| ~ spl48_236 ),
inference(forward_demodulation,[],[f1106,f1724]) ).
fof(f1106,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl48_102 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1104,plain,
( spl48_102
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_102])]) ).
fof(f3859,plain,
( ~ spl48_7
| spl48_101
| ~ spl48_107
| ~ spl48_184
| ~ spl48_239 ),
inference(avatar_contradiction_clause,[],[f3858]) ).
fof(f3858,plain,
( $false
| ~ spl48_7
| spl48_101
| ~ spl48_107
| ~ spl48_184
| ~ spl48_239 ),
inference(subsumption_resolution,[],[f3857,f686]) ).
fof(f3857,plain,
( e22 != op2(e23,e23)
| spl48_101
| ~ spl48_107
| ~ spl48_184
| ~ spl48_239 ),
inference(forward_demodulation,[],[f3856,f1742]) ).
fof(f3856,plain,
( op2(e23,e23) != h4(e13)
| spl48_101
| ~ spl48_107
| ~ spl48_184 ),
inference(forward_demodulation,[],[f3855,f1472]) ).
fof(f3855,plain,
( op2(e23,e23) != h4(op1(e12,e12))
| spl48_101
| ~ spl48_107 ),
inference(forward_demodulation,[],[f1102,f1125]) ).
fof(f1102,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl48_101 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1100,plain,
( spl48_101
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_101])]) ).
fof(f3837,plain,
( ~ spl48_70
| spl48_104
| ~ spl48_141
| ~ spl48_265 ),
inference(avatar_split_clause,[],[f3746,f1907,f1263,f1112,f951]) ).
fof(f3746,plain,
( e21 != op2(e21,e21)
| spl48_104
| ~ spl48_141
| ~ spl48_265 ),
inference(backward_demodulation,[],[f3512,f1908]) ).
fof(f3512,plain,
( h4(e10) != op2(h4(e10),h4(e10))
| spl48_104
| ~ spl48_141 ),
inference(backward_demodulation,[],[f1114,f1265]) ).
fof(f3758,plain,
( ~ spl48_243
| ~ spl48_94 ),
inference(avatar_split_clause,[],[f3757,f1068,f1769]) ).
fof(f1769,plain,
( spl48_243
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_243])]) ).
fof(f3757,plain,
( e10 != op1(e10,e13)
| ~ spl48_94 ),
inference(forward_demodulation,[],[f461,f1070]) ).
fof(f461,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3754,plain,
( ~ spl48_13
| ~ spl48_94 ),
inference(avatar_split_clause,[],[f3753,f1068,f710]) ).
fof(f710,plain,
( spl48_13
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_13])]) ).
fof(f3753,plain,
( e10 != op1(e13,e13)
| ~ spl48_94 ),
inference(forward_demodulation,[],[f432,f1070]) ).
fof(f432,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3752,plain,
( spl48_236
| ~ spl48_1
| ~ spl48_265 ),
inference(avatar_split_clause,[],[f3751,f1907,f659,f1723]) ).
fof(f3751,plain,
( e20 = h4(e11)
| ~ spl48_1
| ~ spl48_265 ),
inference(forward_demodulation,[],[f3749,f661]) ).
fof(f3749,plain,
( op2(e23,e21) = h4(e11)
| ~ spl48_265 ),
inference(backward_demodulation,[],[f1789,f1908]) ).
fof(f1789,plain,
h4(e11) = op2(e23,h4(e10)),
inference(forward_demodulation,[],[f1788,f1757]) ).
fof(f1757,plain,
h4(e10) = op2(e23,h4(e13)),
inference(backward_demodulation,[],[f378,f379]) ).
fof(f378,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f1788,plain,
h4(e11) = op2(e23,op2(e23,h4(e13))),
inference(forward_demodulation,[],[f380,f379]) ).
fof(f380,plain,
h4(e11) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[],[f17]) ).
fof(f3742,plain,
( ~ spl48_232
| spl48_297 ),
inference(avatar_contradiction_clause,[],[f3741]) ).
fof(f3741,plain,
( $false
| ~ spl48_232
| spl48_297 ),
inference(subsumption_resolution,[],[f3740,f2268]) ).
fof(f2268,plain,
( e22 != h1(e13)
| spl48_297 ),
inference(avatar_component_clause,[],[f2266]) ).
fof(f2266,plain,
( spl48_297
<=> e22 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_297])]) ).
fof(f3740,plain,
( e22 = h1(e13)
| ~ spl48_232 ),
inference(forward_demodulation,[],[f164,f1701]) ).
fof(f3735,plain,
( ~ spl48_223
| ~ spl48_286 ),
inference(avatar_contradiction_clause,[],[f3734]) ).
fof(f3734,plain,
( $false
| ~ spl48_223
| ~ spl48_286 ),
inference(subsumption_resolution,[],[f3733,f158]) ).
fof(f158,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f3733,plain,
( e20 = e21
| ~ spl48_223
| ~ spl48_286 ),
inference(forward_demodulation,[],[f2061,f1650]) ).
fof(f2061,plain,
( e20 = op2(e22,e20)
| ~ spl48_286 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f2059,plain,
( spl48_286
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_286])]) ).
fof(f3692,plain,
( ~ spl48_224
| ~ spl48_242 ),
inference(avatar_contradiction_clause,[],[f3691]) ).
fof(f3691,plain,
( $false
| ~ spl48_224
| ~ spl48_242 ),
inference(subsumption_resolution,[],[f3690,f158]) ).
fof(f3690,plain,
( e20 = e21
| ~ spl48_224
| ~ spl48_242 ),
inference(forward_demodulation,[],[f1656,f1765]) ).
fof(f1765,plain,
( e20 = h2(e13)
| ~ spl48_242 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1656,plain,
( e21 = h2(e13)
| ~ spl48_224 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f3656,plain,
( ~ spl48_252
| ~ spl48_227 ),
inference(avatar_split_clause,[],[f3654,f1673,f1832]) ).
fof(f1832,plain,
( spl48_252
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_252])]) ).
fof(f3654,plain,
( e13 != op1(e13,e11)
| ~ spl48_227 ),
inference(backward_demodulation,[],[f447,f1675]) ).
fof(f3652,plain,
( ~ spl48_289
| ~ spl48_172 ),
inference(avatar_split_clause,[],[f3651,f1411,f2105]) ).
fof(f2105,plain,
( spl48_289
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_289])]) ).
fof(f3651,plain,
( e12 != op1(e13,e11)
| ~ spl48_172 ),
inference(forward_demodulation,[],[f469,f1412]) ).
fof(f469,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3650,plain,
( ~ spl48_208
| ~ spl48_49 ),
inference(avatar_split_clause,[],[f3645,f862,f1571]) ).
fof(f3645,plain,
( e10 != op1(e11,e10)
| ~ spl48_49 ),
inference(backward_demodulation,[],[f426,f864]) ).
fof(f426,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3618,plain,
( ~ spl48_217
| ~ spl48_241 ),
inference(avatar_split_clause,[],[f3617,f1750,f1618]) ).
fof(f3617,plain,
( e13 != op1(e11,e10)
| ~ spl48_241 ),
inference(forward_demodulation,[],[f465,f1752]) ).
fof(f465,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3616,plain,
( spl48_265
| ~ spl48_167
| ~ spl48_239 ),
inference(avatar_split_clause,[],[f3615,f1741,f1378,f1907]) ).
fof(f1378,plain,
( spl48_167
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_167])]) ).
fof(f3615,plain,
( e21 = h4(e10)
| ~ spl48_167
| ~ spl48_239 ),
inference(forward_demodulation,[],[f3482,f1380]) ).
fof(f1380,plain,
( e21 = op2(e23,e22)
| ~ spl48_167 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f3482,plain,
( op2(e23,e22) = h4(e10)
| ~ spl48_239 ),
inference(backward_demodulation,[],[f1757,f1742]) ).
fof(f3614,plain,
( ~ spl48_31
| ~ spl48_35 ),
inference(avatar_split_clause,[],[f3612,f801,f784]) ).
fof(f784,plain,
( spl48_31
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_31])]) ).
fof(f3612,plain,
( e23 != op2(e23,e21)
| ~ spl48_35 ),
inference(backward_demodulation,[],[f478,f802]) ).
fof(f478,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3611,plain,
( ~ spl48_252
| ~ spl48_241 ),
inference(avatar_split_clause,[],[f3610,f1750,f1832]) ).
fof(f3610,plain,
( e13 != op1(e13,e11)
| ~ spl48_241 ),
inference(forward_demodulation,[],[f468,f1752]) ).
fof(f468,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3602,plain,
( ~ spl48_291
| ~ spl48_169 ),
inference(avatar_split_clause,[],[f3064,f1391,f2133]) ).
fof(f2133,plain,
( spl48_291
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_291])]) ).
fof(f3064,plain,
( e23 != op2(e21,e22)
| ~ spl48_169 ),
inference(forward_demodulation,[],[f1282,f1393]) ).
fof(f1282,plain,
op2(e21,e22) != h3(e13),
inference(backward_demodulation,[],[f491,f476]) ).
fof(f491,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3597,plain,
( ~ spl48_31
| ~ spl48_279 ),
inference(avatar_split_clause,[],[f3596,f1995,f784]) ).
fof(f3596,plain,
( e23 != op2(e23,e21)
| ~ spl48_279 ),
inference(forward_demodulation,[],[f512,f1997]) ).
fof(f512,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3588,plain,
( ~ spl48_98
| ~ spl48_172 ),
inference(avatar_split_clause,[],[f3526,f1411,f1085]) ).
fof(f1085,plain,
( spl48_98
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_98])]) ).
fof(f3526,plain,
( e12 != op1(e11,e11)
| ~ spl48_172 ),
inference(forward_demodulation,[],[f467,f1412]) ).
fof(f467,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3582,plain,
( ~ spl48_259
| ~ spl48_258 ),
inference(avatar_split_clause,[],[f3581,f1865,f1869]) ).
fof(f1865,plain,
( spl48_258
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_258])]) ).
fof(f3581,plain,
( e12 != op1(e10,e12)
| ~ spl48_258 ),
inference(forward_demodulation,[],[f454,f1867]) ).
fof(f1867,plain,
( e12 = op1(e10,e13)
| ~ spl48_258 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f3579,plain,
( ~ spl48_79
| ~ spl48_141 ),
inference(avatar_split_clause,[],[f3578,f1263,f993]) ).
fof(f3578,plain,
( e10 != op1(e10,e12)
| ~ spl48_141 ),
inference(forward_demodulation,[],[f435,f1265]) ).
fof(f3574,plain,
( ~ spl48_40
| ~ spl48_229 ),
inference(avatar_split_clause,[],[f2991,f1682,f823]) ).
fof(f2991,plain,
( e11 != op1(e11,e12)
| ~ spl48_229 ),
inference(forward_demodulation,[],[f458,f1684]) ).
fof(f458,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3559,plain,
( ~ spl48_147
| ~ spl48_169 ),
inference(avatar_contradiction_clause,[],[f3558]) ).
fof(f3558,plain,
( $false
| ~ spl48_147
| ~ spl48_169 ),
inference(subsumption_resolution,[],[f3557,f159]) ).
fof(f159,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f3557,plain,
( e22 = e23
| ~ spl48_147
| ~ spl48_169 ),
inference(forward_demodulation,[],[f1297,f1393]) ).
fof(f1297,plain,
( e22 = h3(e13)
| ~ spl48_147 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1296,plain,
( spl48_147
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_147])]) ).
fof(f3494,plain,
( ~ spl48_73
| ~ spl48_239 ),
inference(avatar_contradiction_clause,[],[f3493]) ).
fof(f3493,plain,
( $false
| ~ spl48_73
| ~ spl48_239 ),
inference(subsumption_resolution,[],[f3492,f968]) ).
fof(f968,plain,
( e22 = op2(e20,e23)
| ~ spl48_73 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f966,plain,
( spl48_73
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_73])]) ).
fof(f3492,plain,
( e22 != op2(e20,e23)
| ~ spl48_239 ),
inference(forward_demodulation,[],[f1927,f1742]) ).
fof(f3474,plain,
( ~ spl48_208
| ~ spl48_217 ),
inference(avatar_contradiction_clause,[],[f3473]) ).
fof(f3473,plain,
( $false
| ~ spl48_208
| ~ spl48_217 ),
inference(subsumption_resolution,[],[f3472,f390]) ).
fof(f390,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3472,plain,
( e10 = e13
| ~ spl48_208
| ~ spl48_217 ),
inference(forward_demodulation,[],[f1620,f1573]) ).
fof(f1620,plain,
( e13 = op1(e11,e10)
| ~ spl48_217 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f3463,plain,
( ~ spl48_179
| ~ spl48_219 ),
inference(avatar_split_clause,[],[f3462,f1627,f1444]) ).
fof(f1627,plain,
( spl48_219
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_219])]) ).
fof(f3462,plain,
( e21 != op2(e20,e21)
| ~ spl48_219 ),
inference(forward_demodulation,[],[f512,f1629]) ).
fof(f1629,plain,
( e21 = op2(e23,e21)
| ~ spl48_219 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f3461,plain,
( ~ spl48_141
| ~ spl48_208 ),
inference(avatar_split_clause,[],[f3067,f1571,f1263]) ).
fof(f3067,plain,
( e10 != op1(e10,e10)
| ~ spl48_208 ),
inference(forward_demodulation,[],[f433,f1573]) ).
fof(f433,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3458,plain,
( ~ spl48_29
| ~ spl48_38 ),
inference(avatar_split_clause,[],[f2844,f815,f775]) ).
fof(f2844,plain,
( e11 != op1(e11,e11)
| ~ spl48_38 ),
inference(forward_demodulation,[],[f463,f817]) ).
fof(f463,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3457,plain,
( ~ spl48_267
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3456,f1692,f1918]) ).
fof(f1918,plain,
( spl48_267
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_267])]) ).
fof(f3456,plain,
( e20 != op2(e22,e21)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f500,f1694]) ).
fof(f500,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3447,plain,
( ~ spl48_91
| ~ spl48_238 ),
inference(avatar_split_clause,[],[f3035,f1734,f1053]) ).
fof(f1053,plain,
( spl48_91
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_91])]) ).
fof(f3035,plain,
( op1(e10,e10) != e11
| ~ spl48_238 ),
inference(forward_demodulation,[],[f443,f1736]) ).
fof(f443,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3421,plain,
( ~ spl48_29
| ~ spl48_41 ),
inference(avatar_split_clause,[],[f3420,f828,f775]) ).
fof(f3420,plain,
( e11 != op1(e11,e11)
| ~ spl48_41 ),
inference(forward_demodulation,[],[f442,f830]) ).
fof(f3418,plain,
( ~ spl48_167
| ~ spl48_169
| spl48_200
| ~ spl48_229
| ~ spl48_250 ),
inference(avatar_split_clause,[],[f3417,f1822,f1682,f1536,f1391,f1378]) ).
fof(f1536,plain,
( spl48_200
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_200])]) ).
fof(f3417,plain,
( e21 != op2(e23,e22)
| ~ spl48_169
| spl48_200
| ~ spl48_229
| ~ spl48_250 ),
inference(forward_demodulation,[],[f3416,f1902]) ).
fof(f3416,plain,
( op2(e23,e22) != h3(e11)
| ~ spl48_169
| spl48_200
| ~ spl48_229
| ~ spl48_250 ),
inference(forward_demodulation,[],[f3415,f1684]) ).
fof(f3415,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| ~ spl48_169
| spl48_200
| ~ spl48_250 ),
inference(forward_demodulation,[],[f3414,f1393]) ).
fof(f3414,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e22)
| spl48_200
| ~ spl48_250 ),
inference(forward_demodulation,[],[f1538,f1823]) ).
fof(f1538,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl48_200 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f3413,plain,
( ~ spl48_1
| ~ spl48_2 ),
inference(avatar_split_clause,[],[f3412,f663,f659]) ).
fof(f663,plain,
( spl48_2
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_2])]) ).
fof(f3412,plain,
( e20 != op2(e23,e21)
| ~ spl48_2 ),
inference(forward_demodulation,[],[f478,f665]) ).
fof(f665,plain,
( e20 = op2(e23,e20)
| ~ spl48_2 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f3357,plain,
( ~ spl48_141
| ~ spl48_266 ),
inference(avatar_contradiction_clause,[],[f3356]) ).
fof(f3356,plain,
( $false
| ~ spl48_141
| ~ spl48_266 ),
inference(subsumption_resolution,[],[f3355,f390]) ).
fof(f3355,plain,
( e10 = e13
| ~ spl48_141
| ~ spl48_266 ),
inference(forward_demodulation,[],[f1265,f1914]) ).
fof(f3340,plain,
( ~ spl48_60
| ~ spl48_77
| spl48_269 ),
inference(avatar_contradiction_clause,[],[f3339]) ).
fof(f3339,plain,
( $false
| ~ spl48_60
| ~ spl48_77
| spl48_269 ),
inference(subsumption_resolution,[],[f3338,f1942]) ).
fof(f1942,plain,
( e20 != e23
| spl48_269 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f1940,plain,
( spl48_269
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_269])]) ).
fof(f3338,plain,
( e20 = e23
| ~ spl48_60
| ~ spl48_77 ),
inference(forward_demodulation,[],[f909,f985]) ).
fof(f985,plain,
( op2(e20,e20) = e23
| ~ spl48_77 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f984,plain,
( spl48_77
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_77])]) ).
fof(f3331,plain,
( spl48_211
| ~ spl48_281 ),
inference(avatar_contradiction_clause,[],[f3330]) ).
fof(f3330,plain,
( $false
| spl48_211
| ~ spl48_281 ),
inference(subsumption_resolution,[],[f3329,f1590]) ).
fof(f1590,plain,
( e23 != op2(e21,e21)
| spl48_211 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f3329,plain,
( e23 = op2(e21,e21)
| ~ spl48_281 ),
inference(forward_demodulation,[],[f381,f2005]) ).
fof(f2005,plain,
( e23 = h2(e13)
| ~ spl48_281 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f3306,plain,
( spl48_189
| ~ spl48_223
| ~ spl48_238
| ~ spl48_250
| ~ spl48_292 ),
inference(avatar_contradiction_clause,[],[f3305]) ).
fof(f3305,plain,
( $false
| spl48_189
| ~ spl48_223
| ~ spl48_238
| ~ spl48_250
| ~ spl48_292 ),
inference(subsumption_resolution,[],[f3304,f1650]) ).
fof(f3304,plain,
( e21 != op2(e22,e20)
| spl48_189
| ~ spl48_238
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f3303,f1902]) ).
fof(f3303,plain,
( op2(e22,e20) != h3(e11)
| spl48_189
| ~ spl48_238
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f3302,f1736]) ).
fof(f3302,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| spl48_189
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f3301,f1823]) ).
fof(f3301,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| spl48_189
| ~ spl48_292 ),
inference(forward_demodulation,[],[f1494,f2174]) ).
fof(f1494,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl48_189 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1492,plain,
( spl48_189
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_189])]) ).
fof(f3296,plain,
( ~ spl48_216
| ~ spl48_1 ),
inference(avatar_split_clause,[],[f3294,f659,f1613]) ).
fof(f1613,plain,
( spl48_216
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_216])]) ).
fof(f3294,plain,
( e20 != op2(e20,e21)
| ~ spl48_1 ),
inference(backward_demodulation,[],[f512,f661]) ).
fof(f3291,plain,
( ~ spl48_256
| ~ spl48_264 ),
inference(avatar_split_clause,[],[f3216,f1897,f1854]) ).
fof(f3216,plain,
( e23 != op2(e21,e23)
| ~ spl48_264 ),
inference(forward_demodulation,[],[f2404,f1899]) ).
fof(f1899,plain,
( e23 = h4(e13)
| ~ spl48_264 ),
inference(avatar_component_clause,[],[f1897]) ).
fof(f3281,plain,
( ~ spl48_1
| ~ spl48_4 ),
inference(avatar_split_clause,[],[f3280,f671,f659]) ).
fof(f671,plain,
( spl48_4
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_4])]) ).
fof(f3280,plain,
( e20 != op2(e23,e21)
| ~ spl48_4 ),
inference(forward_demodulation,[],[f502,f673]) ).
fof(f673,plain,
( e20 = op2(e23,e22)
| ~ spl48_4 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f502,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3267,plain,
( ~ spl48_257
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f3266,f1692,f1858]) ).
fof(f1858,plain,
( spl48_257
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_257])]) ).
fof(f3266,plain,
( e20 != op2(e21,e23)
| ~ spl48_231 ),
inference(backward_demodulation,[],[f498,f1694]) ).
fof(f498,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3193,plain,
( ~ spl48_87
| ~ spl48_184 ),
inference(avatar_contradiction_clause,[],[f3192]) ).
fof(f3192,plain,
( $false
| ~ spl48_87
| ~ spl48_184 ),
inference(subsumption_resolution,[],[f3191,f390]) ).
fof(f3191,plain,
( e10 = e13
| ~ spl48_87
| ~ spl48_184 ),
inference(forward_demodulation,[],[f1033,f1472]) ).
fof(f1033,plain,
( e10 = op1(e12,e12)
| ~ spl48_87 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl48_87
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_87])]) ).
fof(f3168,plain,
( ~ spl48_88
| ~ spl48_89 ),
inference(avatar_split_clause,[],[f3167,f1041,f1037]) ).
fof(f1037,plain,
( spl48_88
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_88])]) ).
fof(f3167,plain,
( e22 != op2(e20,e21)
| ~ spl48_89 ),
inference(forward_demodulation,[],[f492,f1043]) ).
fof(f492,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3150,plain,
( ~ spl48_169
| spl48_231 ),
inference(avatar_contradiction_clause,[],[f3149]) ).
fof(f3149,plain,
( $false
| ~ spl48_169
| spl48_231 ),
inference(subsumption_resolution,[],[f2887,f1693]) ).
fof(f1693,plain,
( e20 != op2(e22,e23)
| spl48_231 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f2887,plain,
( e20 = op2(e22,e23)
| ~ spl48_169 ),
inference(backward_demodulation,[],[f2052,f1393]) ).
fof(f2052,plain,
e20 = op2(e22,h3(e13)),
inference(forward_demodulation,[],[f154,f476]) ).
fof(f154,plain,
e20 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f3148,plain,
( ~ spl48_264
| ~ spl48_31 ),
inference(avatar_split_clause,[],[f3147,f784,f1897]) ).
fof(f3147,plain,
( e23 != h4(e13)
| ~ spl48_31 ),
inference(forward_demodulation,[],[f2386,f785]) ).
fof(f785,plain,
( e23 = op2(e23,e21)
| ~ spl48_31 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f2386,plain,
op2(e23,e21) != h4(e13),
inference(forward_demodulation,[],[f516,f379]) ).
fof(f516,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3138,plain,
( spl48_311
| ~ spl48_77 ),
inference(avatar_split_clause,[],[f3137,f984,f2399]) ).
fof(f3137,plain,
( e23 = h1(e13)
| ~ spl48_77 ),
inference(forward_demodulation,[],[f985,f164]) ).
fof(f3100,plain,
( spl48_94
| ~ spl48_184 ),
inference(avatar_split_clause,[],[f2663,f1470,f1068]) ).
fof(f2663,plain,
( e10 = op1(e12,e13)
| ~ spl48_184 ),
inference(backward_demodulation,[],[f385,f1472]) ).
fof(f385,plain,
e10 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e11 = op1(e12,op1(e12,op1(e12,e12)))
& e13 = op1(e12,e12)
& e10 = op1(e12,op1(e12,e12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f3083,plain,
( ~ spl48_175
| ~ spl48_208 ),
inference(avatar_split_clause,[],[f3082,f1571,f1427]) ).
fof(f1427,plain,
( spl48_175
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_175])]) ).
fof(f3082,plain,
( e10 != op1(e13,e10)
| ~ spl48_208 ),
inference(forward_demodulation,[],[f465,f1573]) ).
fof(f3075,plain,
( ~ spl48_247
| ~ spl48_6 ),
inference(avatar_split_clause,[],[f3074,f680,f1804]) ).
fof(f680,plain,
( spl48_6
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_6])]) ).
fof(f3074,plain,
( e22 != op2(e21,e20)
| ~ spl48_6 ),
inference(forward_demodulation,[],[f493,f682]) ).
fof(f682,plain,
( e22 = op2(e23,e20)
| ~ spl48_6 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f493,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3071,plain,
( ~ spl48_144
| ~ spl48_258 ),
inference(avatar_contradiction_clause,[],[f3070]) ).
fof(f3070,plain,
( $false
| ~ spl48_144
| ~ spl48_258 ),
inference(subsumption_resolution,[],[f3069,f392]) ).
fof(f3069,plain,
( e12 = e13
| ~ spl48_144
| ~ spl48_258 ),
inference(forward_demodulation,[],[f1867,f1279]) ).
fof(f3017,plain,
( ~ spl48_177
| spl48_251 ),
inference(avatar_contradiction_clause,[],[f3016]) ).
fof(f3016,plain,
( $false
| ~ spl48_177
| spl48_251 ),
inference(subsumption_resolution,[],[f3015,f1829]) ).
fof(f1829,plain,
( e21 != h1(e13)
| spl48_251 ),
inference(avatar_component_clause,[],[f1827]) ).
fof(f1827,plain,
( spl48_251
<=> e21 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_251])]) ).
fof(f3015,plain,
( e21 = h1(e13)
| ~ spl48_177 ),
inference(forward_demodulation,[],[f1438,f164]) ).
fof(f1438,plain,
( op2(e20,e20) = e21
| ~ spl48_177 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1436,plain,
( spl48_177
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_177])]) ).
fof(f3005,plain,
( ~ spl48_265
| ~ spl48_94
| ~ spl48_107
| spl48_116
| ~ spl48_167
| ~ spl48_239 ),
inference(avatar_split_clause,[],[f3004,f1741,f1378,f1160,f1124,f1068,f1907]) ).
fof(f1160,plain,
( spl48_116
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_116])]) ).
fof(f3004,plain,
( e21 != h4(e10)
| ~ spl48_94
| ~ spl48_107
| spl48_116
| ~ spl48_167
| ~ spl48_239 ),
inference(forward_demodulation,[],[f3001,f1380]) ).
fof(f3001,plain,
( op2(e23,e22) != h4(e10)
| ~ spl48_94
| ~ spl48_107
| spl48_116
| ~ spl48_239 ),
inference(backward_demodulation,[],[f2962,f1742]) ).
fof(f2962,plain,
( h4(e10) != op2(e23,h4(e13))
| ~ spl48_94
| ~ spl48_107
| spl48_116 ),
inference(forward_demodulation,[],[f2961,f1070]) ).
fof(f2961,plain,
( h4(op1(e12,e13)) != op2(e23,h4(e13))
| ~ spl48_107
| spl48_116 ),
inference(forward_demodulation,[],[f1162,f1125]) ).
fof(f1162,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl48_116 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f2983,plain,
( ~ spl48_212
| ~ spl48_224 ),
inference(avatar_contradiction_clause,[],[f2982]) ).
fof(f2982,plain,
( $false
| ~ spl48_212
| ~ spl48_224 ),
inference(subsumption_resolution,[],[f2784,f1593]) ).
fof(f2784,plain,
( e21 != op2(e21,e23)
| ~ spl48_224 ),
inference(forward_demodulation,[],[f2350,f1656]) ).
fof(f2350,plain,
op2(e21,e23) != h2(e13),
inference(forward_demodulation,[],[f503,f381]) ).
fof(f503,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2948,plain,
( ~ spl48_50
| ~ spl48_231 ),
inference(avatar_contradiction_clause,[],[f2947]) ).
fof(f2947,plain,
( $false
| ~ spl48_50
| ~ spl48_231 ),
inference(subsumption_resolution,[],[f2946,f157]) ).
fof(f2946,plain,
( e20 = e22
| ~ spl48_50
| ~ spl48_231 ),
inference(forward_demodulation,[],[f869,f1694]) ).
fof(f869,plain,
( e22 = op2(e22,e23)
| ~ spl48_50 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl48_50
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_50])]) ).
fof(f2945,plain,
( ~ spl48_94
| ~ spl48_97 ),
inference(avatar_contradiction_clause,[],[f2944]) ).
fof(f2944,plain,
( $false
| ~ spl48_94
| ~ spl48_97 ),
inference(subsumption_resolution,[],[f2943,f388]) ).
fof(f388,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2943,plain,
( e10 = e12
| ~ spl48_94
| ~ spl48_97 ),
inference(forward_demodulation,[],[f1082,f1070]) ).
fof(f1082,plain,
( e12 = op1(e12,e13)
| ~ spl48_97 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1080,plain,
( spl48_97
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_97])]) ).
fof(f2941,plain,
( ~ spl48_45
| ~ spl48_224 ),
inference(avatar_split_clause,[],[f2940,f1655,f845]) ).
fof(f845,plain,
( spl48_45
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_45])]) ).
fof(f2940,plain,
( e21 != op2(e21,e22)
| ~ spl48_224 ),
inference(forward_demodulation,[],[f2361,f1656]) ).
fof(f2361,plain,
op2(e21,e22) != h2(e13),
inference(forward_demodulation,[],[f520,f381]) ).
fof(f520,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2925,plain,
( ~ spl48_100
| ~ spl48_248
| spl48_269 ),
inference(avatar_contradiction_clause,[],[f2924]) ).
fof(f2924,plain,
( $false
| ~ spl48_100
| ~ spl48_248
| spl48_269 ),
inference(subsumption_resolution,[],[f2923,f1942]) ).
fof(f2923,plain,
( e20 = e23
| ~ spl48_100
| ~ spl48_248 ),
inference(forward_demodulation,[],[f1810,f1097]) ).
fof(f1097,plain,
( e23 = op2(e21,e20)
| ~ spl48_100 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1095,plain,
( spl48_100
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_100])]) ).
fof(f2919,plain,
( ~ spl48_183
| ~ spl48_231 ),
inference(avatar_split_clause,[],[f2918,f1692,f1465]) ).
fof(f1465,plain,
( spl48_183
<=> e20 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_183])]) ).
fof(f2918,plain,
( e20 != h4(e13)
| ~ spl48_231 ),
inference(forward_demodulation,[],[f2366,f1694]) ).
fof(f2366,plain,
op2(e22,e23) != h4(e13),
inference(forward_demodulation,[],[f487,f379]) ).
fof(f487,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2912,plain,
( ~ spl48_39
| ~ spl48_238 ),
inference(avatar_split_clause,[],[f2852,f1734,f819]) ).
fof(f819,plain,
( spl48_39
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_39])]) ).
fof(f2852,plain,
( e11 != op1(e11,e10)
| ~ spl48_238 ),
inference(forward_demodulation,[],[f459,f1736]) ).
fof(f459,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2911,plain,
( ~ spl48_219
| ~ spl48_224 ),
inference(avatar_split_clause,[],[f2876,f1655,f1627]) ).
fof(f2876,plain,
( e21 != op2(e23,e21)
| ~ spl48_224 ),
inference(forward_demodulation,[],[f1787,f1656]) ).
fof(f2910,plain,
( ~ spl48_93
| ~ spl48_169 ),
inference(avatar_split_clause,[],[f2909,f1391,f1063]) ).
fof(f1063,plain,
( spl48_93
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_93])]) ).
fof(f2909,plain,
( e23 != op2(e23,e22)
| ~ spl48_169 ),
inference(forward_demodulation,[],[f2028,f1393]) ).
fof(f2028,plain,
op2(e23,e22) != h3(e13),
inference(forward_demodulation,[],[f501,f476]) ).
fof(f501,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2908,plain,
( ~ spl48_12
| ~ spl48_38 ),
inference(avatar_split_clause,[],[f2907,f815,f706]) ).
fof(f2907,plain,
( e11 != op1(e13,e13)
| ~ spl48_38 ),
inference(forward_demodulation,[],[f449,f817]) ).
fof(f2857,plain,
( ~ spl48_80
| ~ spl48_141 ),
inference(avatar_contradiction_clause,[],[f2856]) ).
fof(f2856,plain,
( $false
| ~ spl48_80
| ~ spl48_141 ),
inference(subsumption_resolution,[],[f2855,f388]) ).
fof(f2855,plain,
( e10 = e12
| ~ spl48_80
| ~ spl48_141 ),
inference(forward_demodulation,[],[f1265,f998]) ).
fof(f2815,plain,
( ~ spl48_40
| ~ spl48_49 ),
inference(avatar_contradiction_clause,[],[f2814]) ).
fof(f2814,plain,
( $false
| ~ spl48_40
| ~ spl48_49 ),
inference(subsumption_resolution,[],[f2813,f389]) ).
fof(f389,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f2813,plain,
( e10 = e11
| ~ spl48_40
| ~ spl48_49 ),
inference(forward_demodulation,[],[f825,f864]) ).
fof(f2809,plain,
( ~ spl48_283
| ~ spl48_9 ),
inference(avatar_split_clause,[],[f2808,f693,f2018]) ).
fof(f2808,plain,
( e12 != op1(e13,e12)
| ~ spl48_9 ),
inference(forward_demodulation,[],[f440,f694]) ).
fof(f440,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2791,plain,
( ~ spl48_176
| ~ spl48_49 ),
inference(avatar_split_clause,[],[f2790,f862,f1431]) ).
fof(f1431,plain,
( spl48_176
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_176])]) ).
fof(f2790,plain,
( e10 != op1(e13,e12)
| ~ spl48_49 ),
inference(backward_demodulation,[],[f458,f864]) ).
fof(f2772,plain,
( ~ spl48_11
| ~ spl48_184 ),
inference(avatar_split_clause,[],[f2771,f1470,f701]) ).
fof(f701,plain,
( spl48_11
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_11])]) ).
fof(f2771,plain,
( e13 != op1(e13,e12)
| ~ spl48_184 ),
inference(forward_demodulation,[],[f439,f1472]) ).
fof(f439,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2769,plain,
( ~ spl48_48
| ~ spl48_184 ),
inference(avatar_split_clause,[],[f2768,f1470,f858]) ).
fof(f858,plain,
( spl48_48
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_48])]) ).
fof(f2768,plain,
( e13 != op1(e11,e12)
| ~ spl48_184 ),
inference(forward_demodulation,[],[f456,f1472]) ).
fof(f456,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2761,plain,
( spl48_70
| ~ spl48_224 ),
inference(avatar_split_clause,[],[f2759,f1655,f951]) ).
fof(f2759,plain,
( e21 = op2(e21,e21)
| ~ spl48_224 ),
inference(backward_demodulation,[],[f381,f1656]) ).
fof(f2732,plain,
( ~ spl48_176
| ~ spl48_174 ),
inference(avatar_split_clause,[],[f2731,f1423,f1431]) ).
fof(f2731,plain,
( e10 != op1(e13,e12)
| ~ spl48_174 ),
inference(forward_demodulation,[],[f434,f1425]) ).
fof(f434,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2726,plain,
( ~ spl48_5
| ~ spl48_89 ),
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2725,plain,
( $false
| ~ spl48_5
| ~ spl48_89 ),
inference(subsumption_resolution,[],[f2724,f1043]) ).
fof(f2724,plain,
( e22 != op2(e22,e21)
| ~ spl48_5 ),
inference(forward_demodulation,[],[f505,f678]) ).
fof(f678,plain,
( e22 = op2(e23,e21)
| ~ spl48_5 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl48_5
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_5])]) ).
fof(f505,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2698,plain,
( ~ spl48_174
| ~ spl48_175 ),
inference(avatar_split_clause,[],[f2697,f1427,f1423]) ).
fof(f2697,plain,
( e10 != op1(e13,e11)
| ~ spl48_175 ),
inference(forward_demodulation,[],[f468,f1429]) ).
fof(f1429,plain,
( e10 = op1(e13,e10)
| ~ spl48_175 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f2694,plain,
( ~ spl48_86
| ~ spl48_238 ),
inference(avatar_contradiction_clause,[],[f2693]) ).
fof(f2693,plain,
( $false
| ~ spl48_86
| ~ spl48_238 ),
inference(subsumption_resolution,[],[f2692,f391]) ).
fof(f2692,plain,
( e11 = e12
| ~ spl48_86
| ~ spl48_238 ),
inference(forward_demodulation,[],[f1029,f1736]) ).
fof(f1029,plain,
( e12 = op1(e12,e10)
| ~ spl48_86 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1028,plain,
( spl48_86
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_86])]) ).
fof(f2690,plain,
( ~ spl48_143
| ~ spl48_144 ),
inference(avatar_split_clause,[],[f2689,f1277,f1273]) ).
fof(f2689,plain,
( e13 != op1(e11,e13)
| ~ spl48_144 ),
inference(backward_demodulation,[],[f444,f1279]) ).
fof(f2680,plain,
( ~ spl48_185
| ~ spl48_238 ),
inference(avatar_contradiction_clause,[],[f2679]) ).
fof(f2679,plain,
( $false
| ~ spl48_185
| ~ spl48_238 ),
inference(subsumption_resolution,[],[f2678,f393]) ).
fof(f2678,plain,
( e11 = e13
| ~ spl48_185
| ~ spl48_238 ),
inference(forward_demodulation,[],[f1476,f1736]) ).
fof(f1476,plain,
( e13 = op1(e12,e10)
| ~ spl48_185 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1474,plain,
( spl48_185
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_185])]) ).
fof(f2655,plain,
( ~ spl48_90
| ~ spl48_79 ),
inference(avatar_split_clause,[],[f2654,f993,f1049]) ).
fof(f1049,plain,
( spl48_90
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_90])]) ).
fof(f2654,plain,
( e10 != op1(e10,e11)
| ~ spl48_79 ),
inference(backward_demodulation,[],[f472,f994]) ).
fof(f472,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2627,plain,
( ~ spl48_68
| ~ spl48_223 ),
inference(avatar_contradiction_clause,[],[f2626]) ).
fof(f2626,plain,
( $false
| ~ spl48_68
| ~ spl48_223 ),
inference(subsumption_resolution,[],[f2625,f155]) ).
fof(f155,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f2625,plain,
( e21 = e22
| ~ spl48_68
| ~ spl48_223 ),
inference(forward_demodulation,[],[f943,f1650]) ).
fof(f943,plain,
( e22 = op2(e22,e20)
| ~ spl48_68 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f942,plain,
( spl48_68
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_68])]) ).
fof(f2616,plain,
( ~ spl48_297
| ~ spl48_80
| spl48_187
| ~ spl48_250
| ~ spl48_292 ),
inference(avatar_split_clause,[],[f2615,f2173,f1822,f1484,f997,f2266]) ).
fof(f2615,plain,
( e22 != h1(e13)
| ~ spl48_80
| spl48_187
| ~ spl48_250
| ~ spl48_292 ),
inference(forward_demodulation,[],[f2614,f164]) ).
fof(f2614,plain,
( op2(e20,e20) != e22
| ~ spl48_80
| spl48_187
| ~ spl48_250
| ~ spl48_292 ),
inference(backward_demodulation,[],[f2552,f2174]) ).
fof(f2552,plain,
( e22 != op2(h3(e10),h3(e10))
| ~ spl48_80
| spl48_187
| ~ spl48_250 ),
inference(forward_demodulation,[],[f2548,f1823]) ).
fof(f2548,plain,
( h3(e12) != op2(h3(e10),h3(e10))
| ~ spl48_80
| spl48_187 ),
inference(backward_demodulation,[],[f1486,f998]) ).
fof(f2596,plain,
( ~ spl48_89
| ~ spl48_210 ),
inference(avatar_split_clause,[],[f2593,f1583,f1041]) ).
fof(f1583,plain,
( spl48_210
<=> e22 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_210])]) ).
fof(f2593,plain,
( e22 != op2(e22,e21)
| ~ spl48_210 ),
inference(backward_demodulation,[],[f2086,f1584]) ).
fof(f1584,plain,
( e22 = h2(e13)
| ~ spl48_210 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f2086,plain,
op2(e22,e21) != h2(e13),
inference(forward_demodulation,[],[f524,f381]) ).
fof(f524,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2589,plain,
( spl48_226
| ~ spl48_60 ),
inference(avatar_split_clause,[],[f2588,f908,f1668]) ).
fof(f2588,plain,
( e20 = h1(e13)
| ~ spl48_60 ),
inference(forward_demodulation,[],[f909,f164]) ).
fof(f2573,plain,
( ~ spl48_45
| ~ spl48_225 ),
inference(avatar_contradiction_clause,[],[f2572]) ).
fof(f2572,plain,
( $false
| ~ spl48_45
| ~ spl48_225 ),
inference(subsumption_resolution,[],[f2571,f158]) ).
fof(f2571,plain,
( e20 = e21
| ~ spl48_45
| ~ spl48_225 ),
inference(forward_demodulation,[],[f846,f1663]) ).
fof(f846,plain,
( e21 = op2(e21,e22)
| ~ spl48_45 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f2569,plain,
( ~ spl48_228
| ~ spl48_238 ),
inference(avatar_split_clause,[],[f2567,f1734,f1678]) ).
fof(f1678,plain,
( spl48_228
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_228])]) ).
fof(f2567,plain,
( e11 != op1(e13,e10)
| ~ spl48_238 ),
inference(backward_demodulation,[],[f470,f1736]) ).
fof(f470,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2568,plain,
( ~ spl48_173
| ~ spl48_238 ),
inference(avatar_split_clause,[],[f2565,f1734,f1415]) ).
fof(f1415,plain,
( spl48_173
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_173])]) ).
fof(f2565,plain,
( e11 != op1(e12,e12)
| ~ spl48_238 ),
inference(backward_demodulation,[],[f460,f1736]) ).
fof(f460,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2562,plain,
( ~ spl48_229
| ~ spl48_42 ),
inference(avatar_split_clause,[],[f2557,f832,f1682]) ).
fof(f2557,plain,
( e11 != op1(e13,e12)
| ~ spl48_42 ),
inference(backward_demodulation,[],[f434,f834]) ).
fof(f834,plain,
( e11 = op1(e13,e11)
| ~ spl48_42 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f2554,plain,
( ~ spl48_258
| ~ spl48_80 ),
inference(avatar_split_clause,[],[f2543,f997,f1865]) ).
fof(f2543,plain,
( e12 != op1(e10,e13)
| ~ spl48_80 ),
inference(backward_demodulation,[],[f441,f998]) ).
fof(f441,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2508,plain,
( ~ spl48_281
| ~ spl48_100 ),
inference(avatar_split_clause,[],[f2503,f1095,f2003]) ).
fof(f2503,plain,
( e23 != h2(e13)
| ~ spl48_100 ),
inference(backward_demodulation,[],[f2056,f1097]) ).
fof(f2056,plain,
op2(e21,e20) != h2(e13),
inference(forward_demodulation,[],[f480,f381]) ).
fof(f480,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2507,plain,
( ~ spl48_35
| ~ spl48_100 ),
inference(avatar_split_clause,[],[f2504,f1095,f801]) ).
fof(f2504,plain,
( e23 != op2(e23,e20)
| ~ spl48_100 ),
inference(backward_demodulation,[],[f493,f1097]) ).
fof(f2479,plain,
( ~ spl48_169
| ~ spl48_65 ),
inference(avatar_split_clause,[],[f2477,f929,f1391]) ).
fof(f929,plain,
( spl48_65
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_65])]) ).
fof(f2477,plain,
( e23 != h3(e13)
| ~ spl48_65 ),
inference(backward_demodulation,[],[f1281,f931]) ).
fof(f931,plain,
( e23 = op2(e20,e22)
| ~ spl48_65 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f1281,plain,
op2(e20,e22) != h3(e13),
inference(backward_demodulation,[],[f509,f476]) ).
fof(f509,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2472,plain,
( ~ spl48_29
| ~ spl48_81 ),
inference(avatar_contradiction_clause,[],[f2471]) ).
fof(f2471,plain,
( $false
| ~ spl48_29
| ~ spl48_81 ),
inference(subsumption_resolution,[],[f2470,f389]) ).
fof(f2470,plain,
( e10 = e11
| ~ spl48_29
| ~ spl48_81 ),
inference(forward_demodulation,[],[f1003,f776]) ).
fof(f1003,plain,
( e10 = op1(e11,e11)
| ~ spl48_81 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1002,plain,
( spl48_81
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_81])]) ).
fof(f2468,plain,
( ~ spl48_214
| ~ spl48_94 ),
inference(avatar_split_clause,[],[f2463,f1068,f1603]) ).
fof(f1603,plain,
( spl48_214
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_214])]) ).
fof(f2463,plain,
( e10 != op1(e12,e10)
| ~ spl48_94 ),
inference(backward_demodulation,[],[f429,f1070]) ).
fof(f429,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2467,plain,
( ~ spl48_207
| ~ spl48_94 ),
inference(avatar_split_clause,[],[f2464,f1068,f1567]) ).
fof(f1567,plain,
( spl48_207
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_207])]) ).
fof(f2464,plain,
( e10 != op1(e11,e13)
| ~ spl48_94 ),
inference(backward_demodulation,[],[f466,f1070]) ).
fof(f466,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2465,plain,
( ~ spl48_215
| ~ spl48_94 ),
inference(avatar_split_clause,[],[f2461,f1068,f1607]) ).
fof(f1607,plain,
( spl48_215
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_215])]) ).
fof(f2461,plain,
( e10 != op1(e12,e11)
| ~ spl48_94 ),
inference(backward_demodulation,[],[f453,f1070]) ).
fof(f453,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2434,plain,
( ~ spl48_67
| ~ spl48_216 ),
inference(avatar_split_clause,[],[f2425,f1613,f937]) ).
fof(f2425,plain,
( e20 != op2(e20,e22)
| ~ spl48_216 ),
inference(backward_demodulation,[],[f522,f1615]) ).
fof(f1615,plain,
( e20 = op2(e20,e21)
| ~ spl48_216 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f522,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2429,plain,
( ~ spl48_226
| ~ spl48_216 ),
inference(avatar_split_clause,[],[f2424,f1613,f1668]) ).
fof(f2424,plain,
( e20 != h1(e13)
| ~ spl48_216 ),
inference(backward_demodulation,[],[f2254,f1615]) ).
fof(f2422,plain,
( ~ spl48_76
| ~ spl48_223 ),
inference(avatar_split_clause,[],[f2415,f1648,f979]) ).
fof(f979,plain,
( spl48_76
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_76])]) ).
fof(f2415,plain,
( e21 != op2(e21,e20)
| ~ spl48_223 ),
inference(backward_demodulation,[],[f514,f1650]) ).
fof(f514,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2420,plain,
( ~ spl48_222
| ~ spl48_223 ),
inference(avatar_split_clause,[],[f2413,f1648,f1644]) ).
fof(f1644,plain,
( spl48_222
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_222])]) ).
fof(f2413,plain,
( e21 != op2(e22,e23)
| ~ spl48_223 ),
inference(backward_demodulation,[],[f511,f1650]) ).
fof(f511,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2419,plain,
( ~ spl48_251
| ~ spl48_223 ),
inference(avatar_split_clause,[],[f2412,f1648,f1827]) ).
fof(f2412,plain,
( e21 != h1(e13)
| ~ spl48_223 ),
inference(backward_demodulation,[],[f2255,f1650]) ).
fof(f2255,plain,
op2(e22,e20) != h1(e13),
inference(backward_demodulation,[],[f523,f164]) ).
fof(f523,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2417,plain,
( ~ spl48_270
| ~ spl48_223 ),
inference(avatar_split_clause,[],[f2416,f1648,f1946]) ).
fof(f1946,plain,
( spl48_270
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl48_270])]) ).
fof(f2416,plain,
( e21 != op2(e23,e20)
| ~ spl48_223 ),
inference(backward_demodulation,[],[f517,f1650]) ).
fof(f517,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2403,plain,
spl48_250,
inference(avatar_split_clause,[],[f474,f1822]) ).
fof(f474,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f2396,plain,
( spl48_29
| ~ spl48_140 ),
inference(avatar_split_clause,[],[f216,f1259,f775]) ).
fof(f1259,plain,
( spl48_140
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_140])]) ).
fof(f216,plain,
( ~ sP17
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( ( e11 != op1(e13,e13)
| e13 = op1(e13,e11) )
& e11 = op1(e11,e11)
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( ( e11 != op1(e13,e13)
| e13 = op1(e13,e11) )
& e11 = op1(e11,e11)
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f2392,plain,
( spl48_266
| spl48_185
| spl48_241
| spl48_217 ),
inference(avatar_split_clause,[],[f418,f1618,f1750,f1474,f1912]) ).
fof(f418,plain,
( e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e12 = op1(e13,e11)
| e12 = op1(e13,e13)
| e12 = op1(e13,e10)
| e12 = op1(e13,e12) )
& ( e11 = op1(e13,e13)
| e11 = op1(e10,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13) )
& ( e11 = op1(e10,e13)
| op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| op1(e10,e10) = e13
| e13 = op1(e10,e12)
| e13 = op1(e10,e13) )
& ( op1(e10,e10) = e12
| e12 = op1(e10,e12)
| e12 = op1(e10,e13)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10)
| e12 = op1(e11,e13) )
& ( e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e10)
| e11 = op1(e13,e13) )
& ( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| e13 = op1(e12,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e13,e13)
| e10 = op1(e13,e10)
| e10 = op1(e13,e12) )
& ( e10 = op1(e12,e10)
| e10 = op1(e13,e10)
| e10 = op1(e10,e10)
| e10 = op1(e11,e10) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e13)
| e11 = op1(e12,e10)
| e11 = op1(e12,e12) )
& ( e13 = op1(e10,e11)
| e13 = op1(e13,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11) )
& ( e12 = op1(e12,e10)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13)
| e12 = op1(e12,e11) )
& ( e13 = op1(e11,e12)
| e13 = op1(e10,e12)
| e13 = op1(e13,e12)
| e13 = op1(e12,e12) )
& ( e12 = op1(e13,e12)
| e12 = op1(e10,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12) )
& ( e10 = op1(e11,e13)
| e10 = op1(e13,e13)
| e10 = op1(e10,e13)
| e10 = op1(e12,e13) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10)
| e10 = op1(e12,e12) )
& ( e10 = op1(e13,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12) )
& ( e13 = op1(e13,e13)
| e13 = op1(e10,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e10,e13) )
& ( e10 = op1(e10,e12)
| e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e13) )
& ( e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e12,e10) )
& ( e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e13,e12)
| e11 = op1(e10,e12) )
& ( e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e13)
| e10 = op1(e11,e10) )
& ( e11 = op1(e11,e10)
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11) )
& ( e11 = op1(e13,e10)
| e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| op1(e10,e10) = e11 )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) )
& ( e11 = op1(e10,e11)
| e11 = op1(e13,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11) )
& ( e13 = op1(e12,e11)
| e13 = op1(e12,e10)
| e13 = op1(e12,e13)
| e13 = op1(e12,e12) )
& ( e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2391,plain,
( spl48_291
| spl48_100
| spl48_281
| spl48_256 ),
inference(avatar_split_clause,[],[f2390,f1854,f2003,f1095,f2133]) ).
fof(f2390,plain,
( e23 = op2(e21,e23)
| e23 = h2(e13)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22) ),
inference(forward_demodulation,[],[f203,f381]) ).
fof(f203,plain,
( e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22
| e22 = op2(e23,e20) )
& ( e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| op2(e20,e20) = e21
| e21 = op2(e20,e23) )
& ( e20 = op2(e20,e20)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e23) )
& ( e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e23,e23)
| e20 = op2(e20,e23) )
& ( e21 = op2(e21,e21)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) )
& ( e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| e23 = op2(e23,e21)
| e23 = op2(e21,e21) )
& ( e22 = op2(e22,e22)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| e23 = op2(e23,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e23,e23)
| e22 = op2(e20,e23) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e20) )
& ( e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e20,e22)
| e22 = op2(e23,e22) )
& ( e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23)
| e20 = op2(e23,e21) )
& ( e20 = op2(e20,e22)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22) )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e20,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e21)
| op2(e20,e20) = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) )
& ( e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) )
& ( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e23)
| e21 = op2(e23,e22) )
& ( e23 = op2(e22,e20)
| e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e22 = op2(e21,e20)
| e22 = op2(e21,e23)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22) )
& ( e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22)
| e23 = op2(e23,e22) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e21 = op2(e22,e20)
| op2(e20,e20) = e21
| e21 = op2(e23,e20)
| e21 = op2(e21,e20) )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e23) )
& ( e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23)
| e21 = op2(e23,e23) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| e21 = op2(e21,e21) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e20)
| e23 = op2(e22,e23) )
& ( e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) )
& ( e20 = op2(e20,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e23,e23)
| e23 = op2(e20,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2385,plain,
( spl48_176
| spl48_229
| spl48_11
| spl48_283 ),
inference(avatar_split_clause,[],[f122,f2018,f701,f1682,f1431]) ).
fof(f122,plain,
( e12 = op1(e13,e12)
| e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e10 = op1(e11,e10)
| e13 = op1(e11,e10)
| e11 = op1(e11,e10)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e13
| e10 = op1(e10,e10) )
& ( e11 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e11 = op1(e11,e12)
| e12 = op1(e11,e12)
| e10 = op1(e11,e12)
| e13 = op1(e11,e12) )
& ( e11 = op1(e12,e11)
| e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e13 = op1(e11,e11)
| e10 = op1(e11,e11)
| e12 = op1(e11,e11) )
& ( e11 = op1(e13,e13)
| e10 = op1(e13,e13)
| e13 = op1(e13,e13)
| e12 = op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e13 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e10,e13)
| e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10) )
& ( e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e10 = op1(e10,e11)
| e11 = op1(e10,e11) )
& ( e10 = op1(e13,e12)
| e11 = op1(e13,e12)
| e13 = op1(e13,e12)
| e12 = op1(e13,e12) )
& ( e11 = op1(e12,e13)
| e13 = op1(e12,e13)
| e10 = op1(e12,e13)
| e12 = op1(e12,e13) )
& ( e13 = op1(e11,e13)
| e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2384,plain,
( spl48_241
| ~ spl48_17 ),
inference(avatar_split_clause,[],[f252,f727,f1750]) ).
fof(f727,plain,
( spl48_17
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_17])]) ).
fof(f252,plain,
( ~ sP10
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e13 = op1(e13,e10)
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e13 = op1(e13,e10)
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2383,plain,
( ~ spl48_30
| spl48_243 ),
inference(avatar_split_clause,[],[f280,f1769,f779]) ).
fof(f779,plain,
( spl48_30
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_30])]) ).
fof(f280,plain,
( e10 = op1(e10,e13)
| ~ sP4 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e10 = op1(e10,e13)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e10 = op1(e10,e13)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2372,plain,
( ~ spl48_26
| spl48_11 ),
inference(avatar_split_clause,[],[f228,f701,f763]) ).
fof(f763,plain,
( spl48_26
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_26])]) ).
fof(f228,plain,
( e13 = op1(e13,e12)
| ~ sP14 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e13 = op1(e13,e12) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e13 = op1(e13,e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f2369,plain,
( spl48_141
| spl48_208
| spl48_175
| spl48_214 ),
inference(avatar_split_clause,[],[f416,f1603,f1427,f1571,f1263]) ).
fof(f416,plain,
( e10 = op1(e12,e10)
| e10 = op1(e13,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2365,plain,
( ~ spl48_10
| spl48_145 ),
inference(avatar_split_clause,[],[f218,f1285,f697]) ).
fof(f697,plain,
( spl48_10
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_10])]) ).
fof(f218,plain,
( e12 = op1(e12,e12)
| ~ sP16 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& e12 = op1(e12,e12) )
| ~ sP16 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& e12 = op1(e12,e12) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f2358,plain,
( spl48_76
| spl48_45
| spl48_212
| spl48_224 ),
inference(avatar_split_clause,[],[f2357,f1655,f1592,f845,f979]) ).
fof(f2357,plain,
( e21 = h2(e13)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f185,f381]) ).
fof(f185,plain,
( e21 = op2(e21,e21)
| e21 = op2(e21,e20)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2355,plain,
( spl48_97
| spl48_86
| spl48_145
| spl48_172 ),
inference(avatar_split_clause,[],[f413,f1411,f1285,f1028,f1080]) ).
fof(f413,plain,
( e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2354,plain,
( ~ spl48_169
| spl48_50
| ~ spl48_244 ),
inference(avatar_split_clause,[],[f2353,f1774,f867,f1391]) ).
fof(f1774,plain,
( spl48_244
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_244])]) ).
fof(f2353,plain,
( ~ sP47
| e22 = op2(e22,e23)
| e23 != h3(e13) ),
inference(forward_demodulation,[],[f527,f476]) ).
fof(f527,plain,
( e22 = op2(e22,e23)
| e23 != op2(e22,e22)
| ~ sP47 ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& e23 = op2(e23,e23)
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) ) )
| ~ sP47 ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& e23 = op2(e23,e23)
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) ) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f2352,plain,
( ~ spl48_12
| ~ spl48_140
| spl48_252 ),
inference(avatar_split_clause,[],[f217,f1832,f1259,f706]) ).
fof(f217,plain,
( e13 = op1(e13,e11)
| ~ sP17
| e11 != op1(e13,e13) ),
inference(cnf_transformation,[],[f72]) ).
fof(f2329,plain,
( spl48_35
| spl48_31
| spl48_264
| spl48_93 ),
inference(avatar_split_clause,[],[f2328,f1063,f1897,f784,f801]) ).
fof(f2328,plain,
( e23 = op2(e23,e22)
| e23 = h4(e13)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f205,f379]) ).
fof(f205,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2325,plain,
( ~ spl48_46
| spl48_67 ),
inference(avatar_split_clause,[],[f575,f937,f849]) ).
fof(f849,plain,
( spl48_46
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_46])]) ).
fof(f575,plain,
( e20 = op2(e20,e22)
| ~ sP38 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e20 = op2(e20,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e20 = op2(e20,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f2280,plain,
( spl48_147
| spl48_89
| spl48_68
| spl48_50 ),
inference(avatar_split_clause,[],[f2279,f867,f942,f1041,f1296]) ).
fof(f2279,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = h3(e13) ),
inference(forward_demodulation,[],[f206,f476]) ).
fof(f206,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2263,plain,
( spl48_252
| spl48_42
| spl48_289
| spl48_174 ),
inference(avatar_split_clause,[],[f134,f1423,f2105,f832,f1832]) ).
fof(f134,plain,
( e10 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2245,plain,
( ~ spl48_21
| spl48_79 ),
inference(avatar_split_clause,[],[f263,f993,f743]) ).
fof(f743,plain,
( spl48_21
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_21])]) ).
fof(f263,plain,
( e10 = op1(e10,e12)
| ~ sP7 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e10 = op1(e10,e12) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e10 = op1(e10,e12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2241,plain,
spl48_238,
inference(avatar_split_clause,[],[f2240,f1734]) ).
fof(f2240,plain,
e11 = op1(e12,e10),
inference(forward_demodulation,[],[f387,f385]) ).
fof(f387,plain,
e11 = op1(e12,op1(e12,op1(e12,e12))),
inference(cnf_transformation,[],[f12]) ).
fof(f2239,plain,
( spl48_264
| ~ spl48_61 ),
inference(avatar_split_clause,[],[f2238,f912,f1897]) ).
fof(f912,plain,
( spl48_61
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_61])]) ).
fof(f2238,plain,
( ~ sP39
| e23 = h4(e13) ),
inference(forward_demodulation,[],[f568,f379]) ).
fof(f568,plain,
( ~ sP39
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,e23)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) ) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,e23)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) ) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f2237,plain,
( spl48_67
| spl48_60
| spl48_78
| spl48_216 ),
inference(avatar_split_clause,[],[f210,f1613,f988,f908,f937]) ).
fof(f210,plain,
( e20 = op2(e20,e21)
| e20 = op2(e20,e23)
| e20 = op2(e20,e20)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2230,plain,
~ spl48_269,
inference(avatar_split_clause,[],[f160,f1940]) ).
fof(f160,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2226,plain,
( spl48_242
| spl48_224
| spl48_281
| spl48_210 ),
inference(avatar_split_clause,[],[f2225,f1583,f2003,f1655,f1764]) ).
fof(f2225,plain,
( e22 = h2(e13)
| e23 = h2(e13)
| e21 = h2(e13)
| e20 = h2(e13) ),
inference(forward_demodulation,[],[f2224,f381]) ).
fof(f2224,plain,
( e21 = h2(e13)
| e20 = h2(e13)
| e23 = op2(e21,e21)
| e22 = h2(e13) ),
inference(forward_demodulation,[],[f2223,f381]) ).
fof(f2223,plain,
( e22 = op2(e21,e21)
| e23 = op2(e21,e21)
| e20 = h2(e13)
| e21 = h2(e13) ),
inference(forward_demodulation,[],[f2222,f381]) ).
fof(f2222,plain,
( e20 = op2(e21,e21)
| e21 = h2(e13)
| e23 = op2(e21,e21)
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[],[f140,f381]) ).
fof(f140,plain,
( e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e20 = op2(e21,e21)
| e23 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e22 = op2(e21,e22)
| e20 = op2(e21,e22)
| e21 = op2(e21,e22)
| e23 = op2(e21,e22) )
& ( e23 = op2(e23,e20)
| e21 = op2(e23,e20)
| e22 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e20 = op2(e20,e21)
| e22 = op2(e20,e21) )
& ( e21 = op2(e22,e21)
| e23 = op2(e22,e21)
| e20 = op2(e22,e21)
| e22 = op2(e22,e21) )
& ( e21 = op2(e20,e22)
| e20 = op2(e20,e22)
| e23 = op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e20 = op2(e23,e23)
| e21 = op2(e23,e23)
| e23 = op2(e23,e23)
| e22 = op2(e23,e23) )
& ( op2(e20,e20) = e21
| e20 = op2(e20,e20)
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( e20 = op2(e22,e23)
| e23 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23) )
& ( e20 = op2(e22,e20)
| e23 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20) )
& ( e22 = op2(e23,e21)
| e23 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e22 = op2(e21,e20)
| e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e23 = op2(e21,e20) )
& ( e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21)
| e23 = op2(e21,e21) )
& ( e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e20 = op2(e21,e23)
| e22 = op2(e21,e23) )
& ( e21 = op2(e23,e22)
| e23 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e21 = op2(e20,e23)
| e20 = op2(e20,e23)
| e23 = op2(e20,e23)
| e22 = op2(e20,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f2211,plain,
( spl48_291
| spl48_293
| spl48_45
| spl48_225 ),
inference(avatar_split_clause,[],[f151,f1661,f845,f2187,f2133]) ).
fof(f151,plain,
( e20 = op2(e21,e22)
| e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2208,plain,
( spl48_183
| spl48_239
| spl48_72
| spl48_264 ),
inference(avatar_split_clause,[],[f2207,f1897,f961,f1741,f1465]) ).
fof(f2207,plain,
( e23 = h4(e13)
| e21 = h4(e13)
| e22 = h4(e13)
| e20 = h4(e13) ),
inference(forward_demodulation,[],[f2206,f379]) ).
fof(f2206,plain,
( e21 = op2(e23,e23)
| e23 = h4(e13)
| e20 = h4(e13)
| e22 = h4(e13) ),
inference(forward_demodulation,[],[f2205,f379]) ).
fof(f2205,plain,
( e22 = h4(e13)
| e23 = op2(e23,e23)
| e20 = h4(e13)
| e21 = op2(e23,e23) ),
inference(forward_demodulation,[],[f2204,f379]) ).
fof(f2204,plain,
( e20 = op2(e23,e23)
| e23 = op2(e23,e23)
| e22 = h4(e13)
| e21 = op2(e23,e23) ),
inference(forward_demodulation,[],[f146,f379]) ).
fof(f146,plain,
( e22 = op2(e23,e23)
| e23 = op2(e23,e23)
| e20 = op2(e23,e23)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2203,plain,
( spl48_258
| spl48_144
| spl48_243
| spl48_284 ),
inference(avatar_split_clause,[],[f126,f2032,f1769,f1277,f1865]) ).
fof(f126,plain,
( e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2201,plain,
( spl48_266
| spl48_262
| spl48_235
| spl48_144 ),
inference(avatar_split_clause,[],[f422,f1277,f1717,f1885,f1912]) ).
fof(f422,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2194,plain,
spl48_292,
inference(avatar_split_clause,[],[f2193,f2173]) ).
fof(f2193,plain,
e20 = h3(e10),
inference(forward_demodulation,[],[f2192,f2052]) ).
fof(f2192,plain,
h3(e10) = op2(e22,h3(e13)),
inference(forward_demodulation,[],[f475,f476]) ).
fof(f475,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f2184,plain,
( ~ spl48_22
| ~ spl48_29 ),
inference(avatar_split_clause,[],[f634,f775,f747]) ).
fof(f747,plain,
( spl48_22
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_22])]) ).
fof(f634,plain,
( e11 != op1(e11,e11)
| ~ sP13 ),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f235,plain,
( ~ sP13
| e11 != op1(e11,e11)
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e11 = op1(e11,e11) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e11 = op1(e11,e11) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f2183,plain,
( spl48_40
| spl48_285
| spl48_229
| spl48_173 ),
inference(avatar_split_clause,[],[f401,f1415,f1682,f2045,f823]) ).
fof(f401,plain,
( e11 = op1(e12,e12)
| e11 = op1(e13,e12)
| e11 = op1(e10,e12)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2182,plain,
( ~ spl48_18
| spl48_38 ),
inference(avatar_split_clause,[],[f274,f815,f731]) ).
fof(f731,plain,
( spl48_18
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_18])]) ).
fof(f274,plain,
( e11 = op1(e11,e13)
| ~ sP5 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e11,e13)
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e11,e13)
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2179,plain,
( spl48_41
| spl48_90
| spl48_262
| spl48_260 ),
inference(avatar_split_clause,[],[f123,f1873,f1885,f1049,f828]) ).
fof(f123,plain,
( e12 = op1(e10,e11)
| e13 = op1(e10,e11)
| e10 = op1(e10,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2176,plain,
( ~ spl48_195
| ~ spl48_292 ),
inference(avatar_split_clause,[],[f351,f2173,f1516]) ).
fof(f1516,plain,
( spl48_195
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_195])]) ).
fof(f351,plain,
( e20 != h3(e10)
| ~ sP20 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f2164,plain,
( spl48_41
| spl48_91
| spl48_284
| spl48_285 ),
inference(avatar_split_clause,[],[f423,f2045,f2032,f1053,f828]) ).
fof(f423,plain,
( e11 = op1(e10,e12)
| e11 = op1(e10,e13)
| op1(e10,e10) = e11
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2163,plain,
( ~ spl48_19
| ~ spl48_14 ),
inference(avatar_split_clause,[],[f636,f714,f735]) ).
fof(f735,plain,
( spl48_19
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_19])]) ).
fof(f636,plain,
( e13 != op1(e13,e13)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f283,plain,
( ~ sP3
| e13 != op1(e13,e13)
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& e13 = op1(e13,e13)
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& e13 = op1(e13,e13)
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2161,plain,
spl48_169,
inference(avatar_split_clause,[],[f2160,f1391]) ).
fof(f2160,plain,
e23 = h3(e13),
inference(forward_demodulation,[],[f153,f476]) ).
fof(f153,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f2157,plain,
( spl48_98
| spl48_227
| spl48_29
| spl48_81 ),
inference(avatar_split_clause,[],[f129,f1002,f775,f1673,f1085]) ).
fof(f129,plain,
( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e13 = op1(e11,e11)
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2155,plain,
( spl48_225
| spl48_248
| spl48_257
| spl48_242 ),
inference(avatar_split_clause,[],[f2154,f1764,f1858,f1808,f1661]) ).
fof(f2154,plain,
( e20 = h2(e13)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22) ),
inference(forward_demodulation,[],[f190,f381]) ).
fof(f190,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2153,plain,
( ~ spl48_23
| spl48_86 ),
inference(avatar_split_clause,[],[f299,f1028,f751]) ).
fof(f751,plain,
( spl48_23
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_23])]) ).
fof(f299,plain,
( e12 = op1(e12,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e12,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e12,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2152,plain,
( spl48_35
| spl48_2
| spl48_270
| spl48_6 ),
inference(avatar_split_clause,[],[f150,f680,f1946,f663,f801]) ).
fof(f150,plain,
( e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2146,plain,
( ~ spl48_58
| ~ spl48_224 ),
inference(avatar_split_clause,[],[f2145,f1655,f900]) ).
fof(f900,plain,
( spl48_58
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_58])]) ).
fof(f2145,plain,
( e21 != h2(e13)
| ~ sP32 ),
inference(forward_demodulation,[],[f637,f381]) ).
fof(f637,plain,
( ~ sP32
| e21 != op2(e21,e21) ),
inference(duplicate_literal_removal,[],[f604]) ).
fof(f604,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP32 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& e23 = op2(e23,e21)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ) )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& e23 = op2(e23,e21)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f2144,plain,
( spl48_14
| ~ spl48_19 ),
inference(avatar_split_clause,[],[f286,f735,f714]) ).
fof(f286,plain,
( ~ sP3
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f86]) ).
fof(f2142,plain,
( spl48_212
| ~ spl48_56 ),
inference(avatar_split_clause,[],[f558,f892,f1592]) ).
fof(f892,plain,
( spl48_56
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_56])]) ).
fof(f558,plain,
( ~ sP41
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& e21 = op2(e21,e23)
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 ) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& e21 = op2(e21,e23)
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 ) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f2138,plain,
( spl48_263
| spl48_77
| spl48_65
| spl48_279 ),
inference(avatar_split_clause,[],[f197,f1995,f929,f984,f1893]) ).
fof(f197,plain,
( e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| op2(e20,e20) = e23
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2113,plain,
spl48_107,
inference(avatar_split_clause,[],[f377,f1124]) ).
fof(f377,plain,
e23 = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f2111,plain,
( ~ spl48_57
| spl48_78 ),
inference(avatar_split_clause,[],[f555,f988,f896]) ).
fof(f896,plain,
( spl48_57
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_57])]) ).
fof(f555,plain,
( e20 = op2(e20,e23)
| ~ sP42 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e20 = op2(e20,e23)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ~ sP42 ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e20 = op2(e20,e23)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f2110,plain,
spl48_184,
inference(avatar_split_clause,[],[f386,f1470]) ).
fof(f386,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f2102,plain,
( spl48_145
| ~ spl48_16 ),
inference(avatar_split_clause,[],[f291,f723,f1285]) ).
fof(f723,plain,
( spl48_16
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_16])]) ).
fof(f291,plain,
( ~ sP2
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& e12 = op1(e12,e12)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& e12 = op1(e12,e12)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2094,plain,
( ~ spl48_29
| ~ spl48_20 ),
inference(avatar_split_clause,[],[f639,f739,f775]) ).
fof(f739,plain,
( spl48_20
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_20])]) ).
fof(f639,plain,
( ~ sP6
| e11 != op1(e11,e11) ),
inference(duplicate_literal_removal,[],[f271]) ).
fof(f271,plain,
( e11 != op1(e11,e11)
| ~ sP6
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e13 = op1(e13,e11)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e13 = op1(e13,e11)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2092,plain,
( ~ spl48_61
| ~ spl48_264 ),
inference(avatar_split_clause,[],[f2091,f1897,f912]) ).
fof(f2091,plain,
( e23 != h4(e13)
| ~ sP39 ),
inference(forward_demodulation,[],[f640,f379]) ).
fof(f640,plain,
( ~ sP39
| e23 != op2(e23,e23) ),
inference(duplicate_literal_removal,[],[f566]) ).
fof(f566,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP39 ),
inference(cnf_transformation,[],[f110]) ).
fof(f2079,plain,
( spl48_97
| ~ spl48_24 ),
inference(avatar_split_clause,[],[f242,f755,f1080]) ).
fof(f755,plain,
( spl48_24
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_24])]) ).
fof(f242,plain,
( ~ sP12
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e12 = op1(e12,e13)
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e12 = op1(e12,e13)
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2078,plain,
( spl48_81
| spl48_215
| spl48_174
| spl48_90 ),
inference(avatar_split_clause,[],[f407,f1049,f1423,f1607,f1002]) ).
fof(f407,plain,
( e10 = op1(e10,e11)
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2077,plain,
( ~ spl48_224
| ~ spl48_33 ),
inference(avatar_split_clause,[],[f2076,f792,f1655]) ).
fof(f792,plain,
( spl48_33
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_33])]) ).
fof(f2076,plain,
( ~ sP44
| e21 != h2(e13) ),
inference(forward_demodulation,[],[f641,f381]) ).
fof(f641,plain,
( e21 != op2(e21,e21)
| ~ sP44 ),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f543,plain,
( e21 != op2(e21,e21)
| ~ sP44
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e22,e21)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ) )
| ~ sP44 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e22,e21)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f2075,plain,
( spl48_39
| ~ spl48_15 ),
inference(avatar_split_clause,[],[f256,f719,f819]) ).
fof(f719,plain,
( spl48_15
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_15])]) ).
fof(f256,plain,
( ~ sP9
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e11,e10)
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e11,e10)
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2072,plain,
( spl48_71
| spl48_244
| spl48_92
| spl48_224 ),
inference(avatar_split_clause,[],[f2071,f1655,f1059,f1774,f956]) ).
fof(f956,plain,
( spl48_71
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_71])]) ).
fof(f1059,plain,
( spl48_92
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_92])]) ).
fof(f2071,plain,
( e21 = h2(e13)
| sP46
| sP47
| sP45 ),
inference(forward_demodulation,[],[f624,f381]) ).
fof(f624,plain,
( sP47
| sP45
| sP46
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( ( ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) )
& e21 = op2(e21,e21)
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ) )
| sP47
| sP46
| sP45 )
& ( ( e20 = op2(e20,e20)
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) ) )
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30 ) ),
inference(definition_folding,[],[f11,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).
fof(f53,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e20 = op2(e20,e21)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) ) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& e22 = op2(e22,e22)
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) ) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f56,plain,
( ( e23 = op2(e23,e20)
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e21 = op2(e21,e21)
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) ) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( e22 = op2(e22,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e23 = op2(e23,e22)
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) ) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& e22 = op2(e22,e23)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) ) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f63,plain,
( ( ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e21,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) ) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f66,plain,
( ( ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& e21 = op2(e21,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) ) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f68,plain,
( ( e20 = op2(e20,e20)
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f69,plain,
( ( ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& e22 = op2(e22,e22)
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) ) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f11,axiom,
( ( ( ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) )
& e21 = op2(e21,e21)
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ( ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& e23 = op2(e23,e23)
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) ) )
| ( ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& e22 = op2(e22,e22)
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) ) )
| ( e20 = op2(e20,e20)
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) ) )
& ( ( e20 = op2(e20,e20)
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ( ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& e22 = op2(e22,e21)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ) )
| ( ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& e21 = op2(e21,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) ) )
| ( e20 = op2(e20,e23)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& e21 = op2(e21,e23)
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 ) )
| ( ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e21,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) ) )
| ( ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,e23)
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) ) )
| ( e20 = op2(e20,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& e22 = op2(e22,e23)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) ) )
| ( ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e23 = op2(e23,e22)
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) ) )
| ( e22 = op2(e22,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ( e21 = op2(e21,e21)
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) ) )
| ( e23 = op2(e23,e20)
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ( ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& e23 = op2(e23,e21)
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ) )
| ( ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& e22 = op2(e22,e22)
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) ) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e20 = op2(e20,e21)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f2062,plain,
( spl48_286
| spl48_2
| spl48_60
| spl48_248 ),
inference(avatar_split_clause,[],[f198,f1808,f908,f663,f2059]) ).
fof(f198,plain,
( e20 = op2(e21,e20)
| e20 = op2(e20,e20)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2054,plain,
spl48_223,
inference(avatar_split_clause,[],[f2053,f1648]) ).
fof(f2053,plain,
e21 = op2(e22,e20),
inference(backward_demodulation,[],[f1903,f2052]) ).
fof(f1903,plain,
e21 = op2(e22,op2(e22,h3(e13))),
inference(backward_demodulation,[],[f1420,f1902]) ).
fof(f2050,plain,
( spl48_216
| spl48_279
| spl48_179
| spl48_88 ),
inference(avatar_split_clause,[],[f149,f1037,f1444,f1995,f1613]) ).
fof(f149,plain,
( e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2048,plain,
( spl48_259
| spl48_285
| spl48_79
| spl48_235 ),
inference(avatar_split_clause,[],[f124,f1717,f993,f2045,f1869]) ).
fof(f124,plain,
( e13 = op1(e10,e12)
| e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2043,plain,
( spl48_92
| ~ spl48_72
| spl48_71
| spl48_244
| spl48_31 ),
inference(avatar_split_clause,[],[f2042,f784,f1774,f956,f961,f1059]) ).
fof(f2042,plain,
( e23 = op2(e23,e21)
| sP47
| sP45
| e21 != h4(e13)
| sP46 ),
inference(forward_demodulation,[],[f625,f379]) ).
fof(f625,plain,
( sP47
| e21 != op2(e23,e23)
| sP45
| sP46
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f71]) ).
fof(f2036,plain,
( spl48_64
| spl48_73
| spl48_88
| spl48_232 ),
inference(avatar_split_clause,[],[f183,f1699,f1037,f966,f925]) ).
fof(f183,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e23)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2029,plain,
( ~ spl48_63
| spl48_93 ),
inference(avatar_split_clause,[],[f582,f1063,f920]) ).
fof(f920,plain,
( spl48_63
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_63])]) ).
fof(f582,plain,
( e23 = op2(e23,e22)
| ~ sP36 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& e23 = op2(e23,e22)
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) ) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2027,plain,
( ~ spl48_53
| spl48_45 ),
inference(avatar_split_clause,[],[f547,f845,f880]) ).
fof(f880,plain,
( spl48_53
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_53])]) ).
fof(f547,plain,
( e21 = op2(e21,e22)
| ~ sP43 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& e21 = op2(e21,e22)
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) ) )
| ~ sP43 ),
inference(nnf_transformation,[],[f66]) ).
fof(f2022,plain,
( spl48_258
| spl48_97
| spl48_234
| spl48_9 ),
inference(avatar_split_clause,[],[f404,f693,f1710,f1080,f1865]) ).
fof(f404,plain,
( e12 = op1(e13,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2021,plain,
( spl48_283
| spl48_145
| spl48_259
| spl48_47 ),
inference(avatar_split_clause,[],[f411,f854,f1869,f1285,f2018]) ).
fof(f411,plain,
( e12 = op1(e11,e12)
| e12 = op1(e10,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2007,plain,
( ~ spl48_142
| spl48_97
| ~ spl48_184 ),
inference(avatar_split_clause,[],[f224,f1470,f1080,f1267]) ).
fof(f1267,plain,
( spl48_142
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_142])]) ).
fof(f224,plain,
( e13 != op1(e12,e12)
| e12 = op1(e12,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e13 = op1(e13,e13)
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e13 = op1(e13,e13)
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1949,plain,
( spl48_72
| spl48_270
| spl48_219
| spl48_167 ),
inference(avatar_split_clause,[],[f1944,f1378,f1627,f1946,f961]) ).
fof(f1944,plain,
( e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20)
| e21 = h4(e13) ),
inference(forward_demodulation,[],[f195,f379]) ).
fof(f195,plain,
( e21 = op2(e23,e20)
| e21 = op2(e23,e22)
| e21 = op2(e23,e23)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1937,plain,
( spl48_76
| ~ spl48_62 ),
inference(avatar_split_clause,[],[f562,f916,f979]) ).
fof(f916,plain,
( spl48_62
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_62])]) ).
fof(f562,plain,
( ~ sP40
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e21,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) ) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f1926,plain,
~ spl48_203,
inference(avatar_split_clause,[],[f1925,f1548]) ).
fof(f1548,plain,
( spl48_203
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_203])]) ).
fof(f1925,plain,
~ sP19,
inference(subsumption_resolution,[],[f353,f1902]) ).
fof(f353,plain,
( e21 != h3(e11)
| ~ sP19 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e21 != h3(e10)
& e21 != h3(e12)
& e21 != h3(e13)
& e21 != h3(e11) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e21 != h3(e10)
& e21 != h3(e12)
& e21 != h3(e13)
& e21 != h3(e11) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1921,plain,
( spl48_216
| spl48_1
| spl48_267
| spl48_242 ),
inference(avatar_split_clause,[],[f1916,f1764,f1918,f659,f1613]) ).
fof(f1916,plain,
( e20 = h2(e13)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f182,f381]) ).
fof(f182,plain,
( e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1915,plain,
( spl48_141
| spl48_80
| spl48_266
| spl48_91 ),
inference(avatar_split_clause,[],[f133,f1053,f1912,f997,f1263]) ).
fof(f133,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e13
| op1(e10,e10) = e12
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1910,plain,
( ~ spl48_37
| ~ spl48_265 ),
inference(avatar_split_clause,[],[f315,f1907,f810]) ).
fof(f810,plain,
( spl48_37
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_37])]) ).
fof(f315,plain,
( e21 != h4(e10)
| ~ sP29 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e21 != h4(e13)
& e21 != h4(e10)
& e21 != h4(e12)
& e21 != h4(e11) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e21 != h4(e13)
& e21 != h4(e10)
& e21 != h4(e12)
& e21 != h4(e11) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1878,plain,
( spl48_219
| spl48_5
| spl48_1
| spl48_31 ),
inference(avatar_split_clause,[],[f142,f784,f659,f676,f1627]) ).
fof(f142,plain,
( e23 = op2(e23,e21)
| e20 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1876,plain,
( spl48_258
| spl48_259
| spl48_80
| spl48_260 ),
inference(avatar_split_clause,[],[f421,f1873,f997,f1869,f1865]) ).
fof(f421,plain,
( e12 = op1(e10,e11)
| op1(e10,e10) = e12
| e12 = op1(e10,e12)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1863,plain,
( ~ spl48_224
| ~ spl48_59 ),
inference(avatar_split_clause,[],[f1862,f904,f1655]) ).
fof(f904,plain,
( spl48_59
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_59])]) ).
fof(f1862,plain,
( ~ sP34
| e21 != h2(e13) ),
inference(forward_demodulation,[],[f646,f381]) ).
fof(f646,plain,
( ~ sP34
| e21 != op2(e21,e21) ),
inference(duplicate_literal_removal,[],[f592]) ).
fof(f592,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP34 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e21 = op2(e21,e21)
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) ) )
| ~ sP34 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1841,plain,
( ~ spl48_21
| ~ spl48_80
| ~ spl48_79 ),
inference(avatar_split_clause,[],[f267,f993,f997,f743]) ).
fof(f267,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e12
| ~ sP7 ),
inference(cnf_transformation,[],[f82]) ).
fof(f1825,plain,
( ~ spl48_199
| ~ spl48_250 ),
inference(avatar_split_clause,[],[f359,f1822,f1532]) ).
fof(f1532,plain,
( spl48_199
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_199])]) ).
fof(f359,plain,
( e22 != h3(e12)
| ~ sP18 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e10) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1818,plain,
( ~ spl48_28
| ~ spl48_141 ),
inference(avatar_split_clause,[],[f647,f1263,f771]) ).
fof(f771,plain,
( spl48_28
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_28])]) ).
fof(f647,plain,
( e10 != op1(e10,e10)
| ~ sP1 ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f296,plain,
( e10 != op1(e10,e10)
| ~ sP1
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e10 = op1(e10,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e10 = op1(e10,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1811,plain,
( spl48_76
| spl48_247
| spl48_100
| spl48_248 ),
inference(avatar_split_clause,[],[f141,f1808,f1095,f1804,f979]) ).
fof(f141,plain,
( e20 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1801,plain,
( spl48_178
| spl48_212
| spl48_222
| spl48_72 ),
inference(avatar_split_clause,[],[f1800,f961,f1644,f1592,f1440]) ).
fof(f1800,plain,
( e21 = h4(e13)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(forward_demodulation,[],[f186,f379]) ).
fof(f186,plain,
( e21 = op2(e22,e23)
| e21 = op2(e23,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1791,plain,
( spl48_76
| ~ spl48_71
| ~ spl48_242 ),
inference(avatar_split_clause,[],[f1790,f1764,f956,f979]) ).
fof(f1790,plain,
( e20 != h2(e13)
| ~ sP45
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f537,f381]) ).
fof(f537,plain,
( e20 != op2(e21,e21)
| ~ sP45
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e20 = op2(e20,e20)
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ~ sP45 ),
inference(nnf_transformation,[],[f68]) ).
fof(f1785,plain,
( ~ spl48_92
| spl48_147 ),
inference(avatar_split_clause,[],[f1784,f1296,f1059]) ).
fof(f1784,plain,
( e22 = h3(e13)
| ~ sP46 ),
inference(forward_demodulation,[],[f532,f476]) ).
fof(f532,plain,
( e22 = op2(e22,e22)
| ~ sP46 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& e22 = op2(e22,e22)
& ( op2(e20,e20) != e22
| e20 = op2(e20,e22) ) )
| ~ sP46 ),
inference(nnf_transformation,[],[f69]) ).
fof(f1760,plain,
( spl48_147
| ~ spl48_54 ),
inference(avatar_split_clause,[],[f1759,f884,f1296]) ).
fof(f884,plain,
( spl48_54
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_54])]) ).
fof(f1759,plain,
( ~ sP31
| e22 = h3(e13) ),
inference(forward_demodulation,[],[f607,f476]) ).
fof(f607,plain,
( ~ sP31
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& e22 = op2(e22,e22)
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) ) )
| ~ sP31 ),
inference(nnf_transformation,[],[f54]) ).
fof(f1754,plain,
( spl48_31
| ~ spl48_58 ),
inference(avatar_split_clause,[],[f602,f900,f784]) ).
fof(f602,plain,
( ~ sP32
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f117]) ).
fof(f1753,plain,
( spl48_240
| spl48_228
| spl48_241
| spl48_175 ),
inference(avatar_split_clause,[],[f132,f1427,f1750,f1678,f1746]) ).
fof(f132,plain,
( e10 = op1(e13,e10)
| e13 = op1(e13,e10)
| e11 = op1(e13,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1744,plain,
( ~ spl48_239
| ~ spl48_114 ),
inference(avatar_split_clause,[],[f320,f1152,f1741]) ).
fof(f1152,plain,
( spl48_114
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_114])]) ).
fof(f320,plain,
( ~ sP28
| e22 != h4(e13) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e11) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e11) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1726,plain,
( ~ spl48_236
| ~ spl48_83 ),
inference(avatar_split_clause,[],[f321,f1011,f1723]) ).
fof(f1011,plain,
( spl48_83
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_83])]) ).
fof(f321,plain,
( ~ sP27
| e20 != h4(e11) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e10)
& e20 != h4(e11) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e10)
& e20 != h4(e11) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f1721,plain,
( spl48_141
| ~ spl48_28 ),
inference(avatar_split_clause,[],[f297,f771,f1263]) ).
fof(f297,plain,
( ~ sP1
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f88]) ).
fof(f1715,plain,
( ~ spl48_29
| ~ spl48_25 ),
inference(avatar_split_clause,[],[f649,f759,f775]) ).
fof(f759,plain,
( spl48_25
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_25])]) ).
fof(f649,plain,
( ~ sP11
| e11 != op1(e11,e11) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f244,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP11 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e10 = op1(e10,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e10 = op1(e10,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1702,plain,
( spl48_60
| spl48_232
| spl48_77
| spl48_177 ),
inference(avatar_split_clause,[],[f145,f1436,f984,f1699,f908]) ).
fof(f145,plain,
( op2(e20,e20) = e21
| op2(e20,e20) = e23
| op2(e20,e20) = e22
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1685,plain,
( spl48_228
| spl48_12
| spl48_42
| spl48_229 ),
inference(avatar_split_clause,[],[f419,f1682,f832,f706,f1678]) ).
fof(f419,plain,
( e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e13)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1676,plain,
( spl48_227
| spl48_48
| spl48_217
| spl48_143 ),
inference(avatar_split_clause,[],[f397,f1273,f1618,f858,f1673]) ).
fof(f397,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1653,plain,
( ~ spl48_141
| ~ spl48_17 ),
inference(avatar_split_clause,[],[f650,f727,f1263]) ).
fof(f650,plain,
( ~ sP10
| e10 != op1(e10,e10) ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f250,plain,
( e10 != op1(e10,e10)
| ~ sP10
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f79]) ).
fof(f1635,plain,
( spl48_49
| spl48_176
| spl48_79
| spl48_87 ),
inference(avatar_split_clause,[],[f394,f1032,f993,f1431,f862]) ).
fof(f394,plain,
( e10 = op1(e12,e12)
| e10 = op1(e10,e12)
| e10 = op1(e13,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1625,plain,
( spl48_208
| spl48_217
| spl48_218
| spl48_39 ),
inference(avatar_split_clause,[],[f135,f819,f1622,f1618,f1571]) ).
fof(f135,plain,
( e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1616,plain,
( ~ spl48_55
| spl48_216 ),
inference(avatar_split_clause,[],[f612,f1613,f888]) ).
fof(f888,plain,
( spl48_55
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_55])]) ).
fof(f612,plain,
( e20 = op2(e20,e21)
| ~ sP30 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& e20 = op2(e20,e21)
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) ) )
| ~ sP30 ),
inference(nnf_transformation,[],[f53]) ).
fof(f1611,plain,
( ~ spl48_206
| ~ spl48_197
| ~ spl48_205
| ~ spl48_200
| spl48_195
| ~ spl48_194
| ~ spl48_202
| spl48_203
| ~ spl48_190
| ~ spl48_187
| ~ spl48_188
| spl48_199
| ~ spl48_198
| ~ spl48_189
| ~ spl48_193
| ~ spl48_192
| ~ spl48_169
| ~ spl48_196
| ~ spl48_204
| ~ spl48_201 ),
inference(avatar_split_clause,[],[f364,f1540,f1552,f1520,f1391,f1504,f1508,f1492,f1528,f1532,f1488,f1484,f1496,f1548,f1544,f1512,f1516,f1536,f1556,f1524,f1560]) ).
fof(f364,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| e23 != h3(e13)
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| sP18
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| sP19
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| sP20
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| ( e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10)
& e23 != h4(e13) )
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| sP29
| sP28
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP27
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e21 != h1(e12)
& e21 != h1(e10)
& e21 != h1(e13)
& e21 != h1(e11) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| sP26
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| sP25
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP24
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) )
& ( ( e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| sP23
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| sP22
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| sP21
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) )
& ( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| ( e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e11) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| sP20
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| sP19
| sP18
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ) ),
inference(definition_folding,[],[f20,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40]) ).
fof(f43,plain,
( ( e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13)
& e23 != h2(e10) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e13)
& e20 != h2(e12) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13)
& e21 != h2(e10) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e12)
& e23 != h1(e11) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f20,plain,
( ( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| ( e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10)
& e23 != h4(e13) )
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e21 != h4(e13)
& e21 != h4(e10)
& e21 != h4(e12)
& e21 != h4(e11) )
| ( e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e11) )
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e10)
& e20 != h4(e11) )
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e21 != h1(e12)
& e21 != h1(e10)
& e21 != h1(e13)
& e21 != h1(e11) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e12)
& e23 != h1(e11) )
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) )
& ( ( e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| ( e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13)
& e21 != h2(e10) )
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e13)
& e20 != h2(e12) )
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| ( e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13)
& e23 != h2(e10) )
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) )
& ( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| ( e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e11) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| ( e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12) )
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| ( e21 != h3(e10)
& e21 != h3(e12)
& e21 != h3(e13)
& e21 != h3(e11) )
| ( e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e10) )
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e22 = h3(e13)
| e22 = h3(e11)
| e22 = h3(e10)
| e22 = h3(e12) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e20 = h3(e12)
| e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e11) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e21 = h3(e11)
| e21 = h3(e12)
| e21 = h3(e10)
| e21 = h3(e13) )
& ( e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e10) )
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
| ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& ( e20 = h2(e13)
| e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e12) )
& ( e23 = h2(e13)
| e23 = h2(e10)
| e23 = h2(e12)
| e23 = h2(e11) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e10) )
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e21 = h2(e10)
| e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e12) ) )
| ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e22 = h1(e12)
| e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e11) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e20 = h1(e12)
| e20 = h1(e10)
| e20 = h1(e13)
| e20 = h1(e11) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) )
| ( ( e20 = h4(e11)
| e20 = h4(e13)
| e20 = h4(e10)
| e20 = h4(e12) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e10)
| e22 = h4(e12) )
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e10)
| e23 = h4(e12)
| e23 = h4(e13) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& 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))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10)
| e21 = h4(e13) )
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e22 = h3(e13)
| e22 = h3(e11)
| e22 = h3(e10)
| e22 = h3(e12) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e20 = h3(e12)
| e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e11) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e21 = h3(e11)
| e21 = h3(e12)
| e21 = h3(e10)
| e21 = h3(e13) )
& ( e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e10) )
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
| ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& ( e20 = h2(e13)
| e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e12) )
& ( e23 = h2(e13)
| e23 = h2(e10)
| e23 = h2(e12)
| e23 = h2(e11) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e10) )
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e21 = h2(e10)
| e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e12) ) )
| ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e22 = h1(e12)
| e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e11) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e20 = h1(e12)
| e20 = h1(e10)
| e20 = h1(e13)
| e20 = h1(e11) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) )
| ( ( e20 = h4(e11)
| e20 = h4(e13)
| e20 = h4(e10)
| e20 = h4(e12) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e10)
| e22 = h4(e12) )
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e10)
| e23 = h4(e12)
| e23 = h4(e13) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& 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))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10)
| e21 = h4(e13) )
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1601,plain,
( ~ spl48_81
| spl48_10
| spl48_142
| spl48_39
| spl48_140 ),
inference(avatar_split_clause,[],[f310,f1259,f819,f1267,f697,f1002]) ).
fof(f310,plain,
( sP17
| e11 = op1(e11,e10)
| sP15
| sP16
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( ( ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& e10 = op1(e10,e10)
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) ) )
| sP17
| sP16
| sP15 )
& ( ( ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e12 = op1(e12,e11)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) ) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f29,plain,
( ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e11 = op1(e11,e12) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f10,axiom,
( ( ( ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& e10 = op1(e10,e10)
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) ) )
| ( ( e11 != op1(e13,e13)
| e13 = op1(e13,e11) )
& e11 = op1(e11,e11)
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) ) )
| ( ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& e12 = op1(e12,e12) )
| ( e13 = op1(e13,e13)
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) ) ) )
& ( ( ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e12 = op1(e12,e11)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) ) )
| ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& e13 = op1(e13,e12) )
| ( ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& e11 = op1(e11,e11) )
| ( e12 = op1(e12,e13)
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ( ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& e10 = op1(e10,e11)
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) ) )
| ( e13 = op1(e13,e10)
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) ) )
| ( ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e11,e10)
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) ) )
| ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e11 = op1(e11,e12) )
| ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e10 = op1(e10,e12) )
| ( e13 = op1(e13,e11)
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) ) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e11,e13)
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) ) )
| ( ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& e10 = op1(e10,e13)
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) ) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& e13 = op1(e13,e13)
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) )
| ( ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& e12 = op1(e12,e12)
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ( e10 = op1(e10,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) ) )
| ( ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e12,e10)
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f1574,plain,
( spl48_49
| spl48_207
| spl48_81
| spl48_208 ),
inference(avatar_split_clause,[],[f400,f1571,f1002,f1567,f862]) ).
fof(f400,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e13)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1482,plain,
( ~ spl48_27
| spl48_40 ),
inference(avatar_split_clause,[],[f258,f823,f767]) ).
fof(f767,plain,
( spl48_27
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_27])]) ).
fof(f258,plain,
( e11 = op1(e11,e12)
| ~ sP8 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& e11 = op1(e11,e12) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1421,plain,
( ~ spl48_55
| ~ spl48_70 ),
inference(avatar_split_clause,[],[f652,f951,f888]) ).
fof(f652,plain,
( e21 != op2(e21,e21)
| ~ sP30 ),
inference(duplicate_literal_removal,[],[f611]) ).
fof(f611,plain,
( ~ sP30
| e21 != op2(e21,e21)
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f119]) ).
fof(f1419,plain,
( spl48_35
| ~ spl48_52 ),
inference(avatar_split_clause,[],[f600,f876,f801]) ).
fof(f876,plain,
( spl48_52
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_52])]) ).
fof(f600,plain,
( ~ sP33
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e23 = op2(e23,e20)
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ) )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
fof(f1381,plain,
( spl48_167
| spl48_93
| spl48_4
| spl48_8 ),
inference(avatar_split_clause,[],[f138,f688,f671,f1063,f1378]) ).
fof(f138,plain,
( e22 = op2(e23,e22)
| e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1270,plain,
( spl48_140
| spl48_10
| spl48_141
| spl48_142 ),
inference(avatar_split_clause,[],[f309,f1267,f1263,f697,f1259]) ).
fof(f309,plain,
( sP15
| e10 = op1(e10,e10)
| sP16
| sP17 ),
inference(cnf_transformation,[],[f39]) ).
fof(f1171,plain,
( ~ spl48_101
| spl48_83
| ~ spl48_102
| ~ spl48_103
| ~ spl48_104
| ~ spl48_105
| ~ spl48_106
| spl48_37
| ~ spl48_107
| ~ spl48_108
| ~ spl48_109
| ~ spl48_110
| ~ spl48_111
| ~ spl48_112
| ~ spl48_113
| spl48_114
| ~ spl48_115
| ~ spl48_116
| ~ spl48_117
| ~ spl48_118 ),
inference(avatar_split_clause,[],[f375,f1168,f1164,f1160,f1156,f1152,f1148,f1144,f1140,f1136,f1132,f1128,f1124,f810,f1120,f1116,f1112,f1108,f1104,f1011,f1100]) ).
fof(f375,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP28
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| e23 != h4(e12)
| sP29
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP27
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f1057,plain,
( ~ spl48_34
| spl48_68 ),
inference(avatar_split_clause,[],[f590,f942,f797]) ).
fof(f797,plain,
( spl48_34
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_34])]) ).
fof(f590,plain,
( e22 = op2(e22,e20)
| ~ sP35 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e22 = op2(e22,e20)
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ~ sP35 ),
inference(nnf_transformation,[],[f58]) ).
fof(f1047,plain,
( ~ spl48_71
| spl48_60 ),
inference(avatar_split_clause,[],[f540,f908,f956]) ).
fof(f540,plain,
( e20 = op2(e20,e20)
| ~ sP45 ),
inference(cnf_transformation,[],[f104]) ).
fof(f1026,plain,
( ~ spl48_52
| ~ spl48_60 ),
inference(avatar_split_clause,[],[f655,f908,f876]) ).
fof(f655,plain,
( e20 != op2(e20,e20)
| ~ sP33 ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f597,plain,
( ~ sP33
| e20 != op2(e20,e20)
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f116]) ).
fof(f1015,plain,
( spl48_54
| spl48_61
| spl48_33
| spl48_57
| spl48_53
| spl48_58
| spl48_34
| spl48_62
| spl48_56
| spl48_60
| spl48_52
| spl48_46
| spl48_51
| spl48_55
| spl48_59
| spl48_63 ),
inference(avatar_split_clause,[],[f620,f920,f904,f888,f871,f849,f876,f908,f892,f916,f797,f900,f880,f896,f792,f912,f884]) ).
fof(f871,plain,
( spl48_51
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl48_51])]) ).
fof(f620,plain,
( sP36
| sP34
| sP30
| sP37
| sP38
| sP33
| e20 = op2(e20,e20)
| sP41
| sP40
| sP35
| sP32
| sP43
| sP42
| sP44
| sP39
| sP31 ),
inference(cnf_transformation,[],[f71]) ).
fof(f923,plain,
( spl48_46
| spl48_52
| spl48_33
| spl48_53
| spl48_34
| spl48_54
| spl48_55
| spl48_56
| spl48_57
| spl48_58
| spl48_51
| spl48_59
| ~ spl48_60
| spl48_61
| spl48_62
| spl48_63 ),
inference(avatar_split_clause,[],[f656,f920,f916,f912,f908,f904,f871,f900,f896,f892,f888,f884,f797,f880,f792,f876,f849]) ).
fof(f656,plain,
( sP36
| sP40
| sP39
| e20 != op2(e20,e20)
| sP34
| sP37
| sP32
| sP42
| sP41
| sP30
| sP31
| sP35
| sP43
| sP44
| sP33
| sP38 ),
inference(duplicate_literal_removal,[],[f616]) ).
fof(f616,plain,
( sP34
| sP33
| sP43
| sP40
| sP39
| sP38
| sP36
| e20 != op2(e20,e20)
| sP30
| sP44
| sP42
| e20 != op2(e20,e20)
| sP37
| sP32
| sP35
| sP41
| sP31 ),
inference(cnf_transformation,[],[f71]) ).
fof(f874,plain,
( spl48_50
| ~ spl48_51 ),
inference(avatar_split_clause,[],[f579,f871,f867]) ).
fof(f579,plain,
( ~ sP37
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& e22 = op2(e22,e23)
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) ) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f865,plain,
( spl48_40
| spl48_47
| spl48_48
| spl48_49 ),
inference(avatar_split_clause,[],[f131,f862,f858,f854,f823]) ).
fof(f131,plain,
( e10 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f826,plain,
( spl48_38
| spl48_39
| spl48_29
| spl48_40 ),
inference(avatar_split_clause,[],[f399,f823,f775,f819,f815]) ).
fof(f399,plain,
( e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f782,plain,
( spl48_15
| spl48_16
| spl48_17
| spl48_18
| spl48_19
| spl48_20
| spl48_21
| spl48_22
| spl48_23
| spl48_24
| spl48_25
| spl48_26
| spl48_27
| spl48_28
| ~ spl48_29
| spl48_30 ),
inference(avatar_split_clause,[],[f657,f779,f775,f771,f767,f763,f759,f755,f751,f747,f743,f739,f735,f731,f727,f723,f719]) ).
fof(f657,plain,
( sP4
| e11 != op1(e11,e11)
| sP1
| sP8
| sP14
| sP11
| sP12
| sP0
| sP13
| sP7
| sP6
| sP3
| sP5
| sP10
| sP2
| sP9 ),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f303,plain,
( sP14
| sP11
| sP3
| sP8
| sP10
| sP13
| e11 != op1(e11,e11)
| sP7
| sP2
| sP12
| sP4
| e11 != op1(e11,e11)
| sP9
| sP5
| sP6
| sP1
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f717,plain,
( spl48_12
| spl48_13
| spl48_14
| spl48_9 ),
inference(avatar_split_clause,[],[f128,f693,f714,f710,f706]) ).
fof(f128,plain,
( e12 = op1(e13,e13)
| e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG127+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:17:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.56 % (3631)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (3638)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.56 % (3647)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.57 % (3630)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 % (3639)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57 % (3631)Instruction limit reached!
% 0.19/0.57 % (3631)------------------------------
% 0.19/0.57 % (3631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (3631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (3631)Termination reason: Unknown
% 0.19/0.57 % (3631)Termination phase: Preprocessing 2
% 0.19/0.57
% 0.19/0.57 % (3631)Memory used [KB]: 1023
% 0.19/0.57 % (3631)Time elapsed: 0.005 s
% 0.19/0.57 % (3631)Instructions burned: 3 (million)
% 0.19/0.57 % (3631)------------------------------
% 0.19/0.57 % (3631)------------------------------
% 0.19/0.58 % (3630)Instruction limit reached!
% 0.19/0.58 % (3630)------------------------------
% 0.19/0.58 % (3630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (3630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (3630)Termination reason: Unknown
% 0.19/0.58 % (3630)Termination phase: Preprocessing 3
% 0.19/0.58
% 0.19/0.58 % (3630)Memory used [KB]: 1151
% 0.19/0.58 % (3630)Time elapsed: 0.009 s
% 0.19/0.58 % (3630)Instructions burned: 7 (million)
% 0.19/0.58 % (3630)------------------------------
% 0.19/0.58 % (3630)------------------------------
% 0.19/0.58 % (3646)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.60 % (3627)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.61 % (3625)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.62 % (3650)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.62 % (3652)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.62 % (3643)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.62 % (3641)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.63 % (3642)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.63 % (3644)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.63 % (3629)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.63 % (3632)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.63 % (3634)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.63 % (3636)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.63 % (3649)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.63 % (3628)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.77/0.63 % (3626)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.63 % (3651)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.77/0.64 % (3648)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.77/0.64 % (3623)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.77/0.64 % (3635)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.77/0.64 % (3633)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.77/0.64 % (3645)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.77/0.65 % (3624)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.77/0.65 % (3637)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.65 % (3640)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.16/0.68 % (3627)Instruction limit reached!
% 2.16/0.68 % (3627)------------------------------
% 2.16/0.68 % (3627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.69 % (3638)Instruction limit reached!
% 2.16/0.69 % (3638)------------------------------
% 2.16/0.69 % (3638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.69 % (3638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.69 % (3638)Termination reason: Unknown
% 2.16/0.69 % (3638)Termination phase: Saturation
% 2.16/0.69
% 2.16/0.69 % (3638)Memory used [KB]: 1791
% 2.16/0.69 % (3638)Time elapsed: 0.081 s
% 2.16/0.69 % (3638)Instructions burned: 75 (million)
% 2.16/0.69 % (3638)------------------------------
% 2.16/0.69 % (3638)------------------------------
% 2.16/0.69 % (3625)Instruction limit reached!
% 2.16/0.69 % (3625)------------------------------
% 2.16/0.69 % (3625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.69 % (3625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.69 % (3625)Termination reason: Unknown
% 2.16/0.69 % (3625)Termination phase: Saturation
% 2.16/0.69
% 2.16/0.69 % (3625)Memory used [KB]: 1407
% 2.16/0.69 % (3625)Time elapsed: 0.023 s
% 2.16/0.69 % (3625)Instructions burned: 37 (million)
% 2.16/0.69 % (3625)------------------------------
% 2.16/0.69 % (3625)------------------------------
% 2.16/0.69 % (3626)Instruction limit reached!
% 2.16/0.69 % (3626)------------------------------
% 2.16/0.69 % (3626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.69 % (3626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.69 % (3626)Termination reason: Unknown
% 2.16/0.69 % (3626)Termination phase: Property scanning
% 2.16/0.69
% 2.16/0.69 % (3626)Memory used [KB]: 1791
% 2.16/0.69 % (3626)Time elapsed: 0.024 s
% 2.16/0.69 % (3626)Instructions burned: 54 (million)
% 2.16/0.69 % (3626)------------------------------
% 2.16/0.69 % (3626)------------------------------
% 2.16/0.70 % (3628)Instruction limit reached!
% 2.16/0.70 % (3628)------------------------------
% 2.16/0.70 % (3628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.70 % (3628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.70 % (3628)Termination reason: Unknown
% 2.16/0.70 % (3628)Termination phase: Saturation
% 2.16/0.70
% 2.16/0.70 % (3628)Memory used [KB]: 6908
% 2.16/0.70 % (3628)Time elapsed: 0.248 s
% 2.16/0.70 % (3628)Instructions burned: 48 (million)
% 2.16/0.70 % (3628)------------------------------
% 2.16/0.70 % (3628)------------------------------
% 2.53/0.71 % (3629)Instruction limit reached!
% 2.53/0.71 % (3629)------------------------------
% 2.53/0.71 % (3629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.71 % (3629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.71 % (3629)Termination reason: Unknown
% 2.53/0.71 % (3629)Termination phase: Finite model building preprocessing
% 2.53/0.71
% 2.53/0.71 % (3629)Memory used [KB]: 2430
% 2.53/0.71 % (3629)Time elapsed: 0.023 s
% 2.53/0.71 % (3629)Instructions burned: 51 (million)
% 2.53/0.71 % (3629)------------------------------
% 2.53/0.71 % (3629)------------------------------
% 2.53/0.71 % (3627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.71 % (3627)Termination reason: Unknown
% 2.53/0.71 % (3627)Termination phase: Saturation
% 2.53/0.71
% 2.53/0.71 % (3627)Memory used [KB]: 6780
% 2.53/0.71 % (3627)Time elapsed: 0.026 s
% 2.53/0.71 % (3627)Instructions burned: 52 (million)
% 2.53/0.71 % (3627)------------------------------
% 2.53/0.71 % (3627)------------------------------
% 2.53/0.71 % (3640)Instruction limit reached!
% 2.53/0.71 % (3640)------------------------------
% 2.53/0.71 % (3640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.71 % (3640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.71 % (3640)Termination reason: Unknown
% 2.53/0.71 % (3640)Termination phase: Finite model building preprocessing
% 2.53/0.71
% 2.53/0.71 % (3640)Memory used [KB]: 2430
% 2.53/0.71 % (3640)Time elapsed: 0.026 s
% 2.53/0.71 % (3640)Instructions burned: 61 (million)
% 2.53/0.71 % (3640)------------------------------
% 2.53/0.71 % (3640)------------------------------
% 2.53/0.71 % (3633)Instruction limit reached!
% 2.53/0.71 % (3633)------------------------------
% 2.53/0.71 % (3633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.71 % (3633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.71 % (3633)Termination reason: Unknown
% 2.53/0.71 % (3633)Termination phase: Saturation
% 2.53/0.71
% 2.53/0.71 % (3633)Memory used [KB]: 7036
% 2.53/0.71 % (3633)Time elapsed: 0.032 s
% 2.53/0.71 % (3633)Instructions burned: 50 (million)
% 2.53/0.71 % (3633)------------------------------
% 2.53/0.71 % (3633)------------------------------
% 2.53/0.72 % (3632)Instruction limit reached!
% 2.53/0.72 % (3632)------------------------------
% 2.53/0.72 % (3632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.72 % (3632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.72 % (3632)Termination reason: Unknown
% 2.53/0.72 % (3632)Termination phase: Saturation
% 2.53/0.72
% 2.53/0.72 % (3632)Memory used [KB]: 1535
% 2.53/0.72 % (3632)Time elapsed: 0.028 s
% 2.53/0.72 % (3632)Instructions burned: 52 (million)
% 2.53/0.72 % (3632)------------------------------
% 2.53/0.72 % (3632)------------------------------
% 2.53/0.72 % (3639)Instruction limit reached!
% 2.53/0.72 % (3639)------------------------------
% 2.53/0.72 % (3639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.73 % (3679)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.53/0.73 % (3680)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.53/0.73 % (3624)Instruction limit reached!
% 2.53/0.73 % (3624)------------------------------
% 2.53/0.73 % (3624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.73 % (3624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.73 % (3624)Termination reason: Unknown
% 2.53/0.73 % (3624)Termination phase: Saturation
% 2.53/0.73
% 2.53/0.73 % (3624)Memory used [KB]: 6780
% 2.53/0.73 % (3624)Time elapsed: 0.025 s
% 2.53/0.73 % (3624)Instructions burned: 51 (million)
% 2.53/0.73 % (3624)------------------------------
% 2.53/0.73 % (3624)------------------------------
% 2.53/0.73 % (3639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.73 % (3639)Termination reason: Unknown
% 2.53/0.73 % (3639)Termination phase: Saturation
% 2.53/0.73
% 2.53/0.73 % (3639)Memory used [KB]: 7036
% 2.53/0.73 % (3639)Time elapsed: 0.285 s
% 2.53/0.73 % (3639)Instructions burned: 99 (million)
% 2.53/0.73 % (3639)------------------------------
% 2.53/0.73 % (3639)------------------------------
% 2.53/0.74 % (3649)Instruction limit reached!
% 2.53/0.74 % (3649)------------------------------
% 2.53/0.74 % (3649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.74 % (3649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.74 % (3649)Termination reason: Unknown
% 2.53/0.74 % (3649)Termination phase: Saturation
% 2.53/0.74
% 2.53/0.74 % (3649)Memory used [KB]: 7164
% 2.53/0.74 % (3649)Time elapsed: 0.046 s
% 2.53/0.74 % (3649)Instructions burned: 69 (million)
% 2.53/0.74 % (3649)------------------------------
% 2.53/0.74 % (3649)------------------------------
% 2.84/0.75 % (3637)Instruction limit reached!
% 2.84/0.75 % (3637)------------------------------
% 2.84/0.75 % (3637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.75 % (3637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.75 % (3637)Termination reason: Unknown
% 2.84/0.75 % (3637)Termination phase: Saturation
% 2.84/0.75
% 2.84/0.75 % (3637)Memory used [KB]: 7036
% 2.84/0.75 % (3637)Time elapsed: 0.035 s
% 2.84/0.75 % (3637)Instructions burned: 70 (million)
% 2.84/0.75 % (3637)------------------------------
% 2.84/0.75 % (3637)------------------------------
% 2.84/0.76 % (3636)Instruction limit reached!
% 2.84/0.76 % (3636)------------------------------
% 2.84/0.76 % (3636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.76 % (3636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.76 % (3636)Termination reason: Unknown
% 2.84/0.76 % (3636)Termination phase: Saturation
% 2.84/0.76
% 2.84/0.76 % (3636)Memory used [KB]: 7547
% 2.84/0.76 % (3636)Time elapsed: 0.314 s
% 2.84/0.76 % (3636)Instructions burned: 100 (million)
% 2.84/0.76 % (3636)------------------------------
% 2.84/0.76 % (3636)------------------------------
% 2.84/0.77 % (3634)Instruction limit reached!
% 2.84/0.77 % (3634)------------------------------
% 2.84/0.77 % (3634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.77 % (3634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.77 % (3634)Termination reason: Unknown
% 2.84/0.77 % (3634)Termination phase: Saturation
% 2.84/0.77
% 2.84/0.77 % (3634)Memory used [KB]: 7675
% 2.84/0.77 % (3634)Time elapsed: 0.043 s
% 2.84/0.77 % (3634)Instructions burned: 102 (million)
% 2.84/0.77 % (3634)------------------------------
% 2.84/0.77 % (3634)------------------------------
% 2.84/0.77 % (3641)Instruction limit reached!
% 2.84/0.77 % (3641)------------------------------
% 2.84/0.77 % (3641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.78 % (3641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.78 % (3641)Termination reason: Unknown
% 2.84/0.78 % (3641)Termination phase: Saturation
% 2.84/0.78
% 2.84/0.78 % (3641)Memory used [KB]: 7675
% 2.84/0.78 % (3641)Time elapsed: 0.065 s
% 2.84/0.78 % (3641)Instructions burned: 101 (million)
% 2.84/0.78 % (3641)------------------------------
% 2.84/0.78 % (3641)------------------------------
% 2.84/0.79 % (3642)Instruction limit reached!
% 2.84/0.79 % (3642)------------------------------
% 2.84/0.79 % (3642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.79 % (3642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.79 % (3642)Termination reason: Unknown
% 2.84/0.79 % (3642)Termination phase: Saturation
% 2.84/0.79
% 2.84/0.79 % (3642)Memory used [KB]: 1663
% 2.84/0.79 % (3642)Time elapsed: 0.340 s
% 2.84/0.79 % (3642)Instructions burned: 101 (million)
% 2.84/0.79 % (3642)------------------------------
% 2.84/0.79 % (3642)------------------------------
% 2.84/0.79 % (3646)First to succeed.
% 2.84/0.79 TRYING [8]
% 2.84/0.79 % (3635)Instruction limit reached!
% 2.84/0.79 % (3635)------------------------------
% 2.84/0.79 % (3635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.79 % (3635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.79 % (3635)Termination reason: Unknown
% 2.84/0.79 % (3635)Termination phase: Saturation
% 2.84/0.79
% 2.84/0.79 % (3635)Memory used [KB]: 7803
% 2.84/0.79 % (3635)Time elapsed: 0.328 s
% 2.84/0.79 % (3635)Instructions burned: 101 (million)
% 2.84/0.79 % (3635)------------------------------
% 2.84/0.79 % (3635)------------------------------
% 2.84/0.82 % (3700)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.84/0.82 % (3708)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.84/0.82 % (3704)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.84/0.82 % (3710)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.84/0.83 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.84/0.83 % (3689)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.84/0.83 % (3694)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.84/0.83 % (3721)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.84/0.83 % (3712)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.21/0.84 % (3725)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.21/0.84 % (3695)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.21/0.84 % (3644)Also succeeded, but the first one will report.
% 3.21/0.84 % (3646)Refutation found. Thanks to Tanya!
% 3.21/0.84 % SZS status Theorem for theBenchmark
% 3.21/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.21/0.85 % (3646)------------------------------
% 3.21/0.85 % (3646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.85 % (3646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.85 % (3646)Termination reason: Refutation
% 3.21/0.85
% 3.21/0.85 % (3646)Memory used [KB]: 8571
% 3.21/0.85 % (3646)Time elapsed: 0.126 s
% 3.21/0.85 % (3646)Instructions burned: 124 (million)
% 3.21/0.85 % (3646)------------------------------
% 3.21/0.85 % (3646)------------------------------
% 3.21/0.85 % (3622)Success in time 0.505 s
%------------------------------------------------------------------------------