TSTP Solution File: ALG102+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ALG102+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 04:06:44 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 449
% Syntax : Number of formulae : 1842 ( 44 unt; 0 def)
% Number of atoms : 7226 (3692 equ)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 8887 (3503 ~;3351 |;1740 &)
% ( 293 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 439 ( 437 usr; 438 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6672,plain,
$false,
inference(avatar_sat_refutation,[],[f1351,f1380,f1409,f1718,f1821,f1838,f1851,f1868,f1881,f1911,f1954,f1976,f1985,f1998,f2007,f2020,f2029,f2066,f2071,f2080,f2085,f2090,f2096,f2102,f2103,f2108,f2109,f2142,f2155,f2172,f2185,f2202,f2215,f2258,f2280,f2289,f2302,f2311,f2324,f2333,f2347,f2370,f2375,f2384,f2389,f2394,f2395,f2400,f2401,f2406,f2407,f2412,f2413,f2434,f2436,f2451,f2456,f2463,f2478,f2483,f2490,f2505,f2518,f2526,f2534,f2540,f2547,f2548,f2558,f2566,f2572,f2582,f2588,f2598,f2605,f2613,f2621,f2629,f2636,f2644,f2652,f2660,f2668,f2678,f2686,f2694,f2702,f2710,f2718,f2726,f2731,f2739,f2748,f2756,f2757,f2764,f2772,f2780,f2788,f2797,f2805,f2813,f2821,f2830,f2838,f2846,f2854,f2862,f2870,f2876,f2886,f2892,f2902,f2908,f2916,f2918,f2924,f2932,f2939,f2942,f2948,f2956,f2965,f2972,f2979,f2981,f2987,f2995,f2998,f3004,f3014,f3015,f3037,f3041,f3046,f3058,f3063,f3075,f3090,f3101,f3102,f3107,f3112,f3130,f3138,f3146,f3152,f3159,f3160,f3167,f3170,f3175,f3176,f3178,f3184,f3194,f3200,f3210,f3217,f3225,f3233,f3241,f3248,f3256,f3257,f3264,f3271,f3272,f3274,f3280,f3289,f3290,f3295,f3297,f3298,f3305,f3306,f3314,f3322,f3330,f3338,f3345,f3346,f3352,f3353,f3360,f3367,f3368,f3370,f3376,f3383,f3386,f3392,f3399,f3400,f3402,f3409,f3417,f3425,f3433,f3442,f3450,f3458,f3466,f3471,f3474,f3479,f3480,f3482,f3488,f3495,f3496,f3498,f3504,f3511,f3514,f3520,f3528,f3529,f3530,f3536,f3543,f3544,f3545,f3551,f3553,f3554,f3559,f3560,f3561,f3562,f3568,f3576,f3577,f3578,f3584,f3592,f3593,f3599,f3601,f3602,f3607,f3608,f3609,f3610,f3616,f3625,f3626,f3627,f3628,f3639,f3653,f3654,f3655,f3675,f3683,f3693,f3701,f3709,f3726,f3734,f3741,f3754,f3785,f3790,f3794,f3805,f3816,f3819,f3834,f3842,f3856,f3866,f3874,f3885,f3896,f3900,f3915,f3925,f3927,f3936,f3949,f3959,f3985,f3988,f3995,f4011,f4029,f4034,f4039,f4048,f4057,f4067,f4071,f4093,f4102,f4110,f4113,f4127,f4137,f4146,f4149,f4160,f4163,f4200,f4225,f4239,f4243,f4270,f4275,f4278,f4300,f4343,f4382,f4412,f4419,f4427,f4431,f4444,f4452,f4477,f4489,f4493,f4519,f4523,f4531,f4540,f4543,f4558,f4567,f4583,f4587,f4595,f4608,f4612,f4621,f4624,f4648,f4655,f4662,f4672,f4684,f4696,f4702,f4744,f4776,f4795,f4796,f4798,f4811,f4826,f4866,f4869,f4879,f4888,f4903,f4920,f4930,f4944,f4948,f4952,f4955,f4959,f4989,f4996,f5003,f5011,f5014,f5018,f5032,f5036,f5056,f5069,f5078,f5091,f5119,f5158,f5273,f5280,f5281,f5282,f5333,f5342,f5383,f5392,f5401,f5433,f5494,f5496,f5502,f5505,f5506,f5601,f5611,f5613,f5723,f5726,f5732,f5734,f5737,f5738,f5739,f5781,f5981,f5982,f5991,f6132,f6255,f6306,f6320,f6343,f6351,f6362,f6414,f6423,f6443,f6449,f6459,f6469,f6478,f6488,f6507,f6517,f6526,f6536,f6545,f6555,f6564,f6605,f6609,f6623,f6642,f6644,f6654]) ).
fof(f6654,plain,
( ~ spl144_208
| ~ spl144_229 ),
inference(avatar_contradiction_clause,[],[f6653]) ).
fof(f6653,plain,
( $false
| ~ spl144_208
| ~ spl144_229 ),
inference(subsumption_resolution,[],[f6652,f400]) ).
fof(f400,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6652,plain,
( e10 = e13
| ~ spl144_208
| ~ spl144_229 ),
inference(forward_demodulation,[],[f2141,f2231]) ).
fof(f2231,plain,
( e10 = op1(e13,e13)
| ~ spl144_229 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f2229,plain,
( spl144_229
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_229])]) ).
fof(f2141,plain,
( e13 = op1(e13,e13)
| ~ spl144_208 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f2139,plain,
( spl144_208
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_208])]) ).
fof(f6644,plain,
( ~ spl144_233
| ~ spl144_211 ),
inference(avatar_split_clause,[],[f5550,f2152,f2247]) ).
fof(f2247,plain,
( spl144_233
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_233])]) ).
fof(f2152,plain,
( spl144_211
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_211])]) ).
fof(f5550,plain,
( e13 != op1(e10,e12)
| ~ spl144_211 ),
inference(forward_demodulation,[],[f434,f2154]) ).
fof(f2154,plain,
( e13 = op1(e13,e12)
| ~ spl144_211 ),
inference(avatar_component_clause,[],[f2152]) ).
fof(f434,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6642,plain,
( ~ spl144_221
| ~ spl144_220 ),
inference(avatar_split_clause,[],[f6641,f2191,f2195]) ).
fof(f2195,plain,
( spl144_221
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_221])]) ).
fof(f2191,plain,
( spl144_220
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_220])]) ).
fof(f6641,plain,
( e11 != op1(e12,e13)
| ~ spl144_220 ),
inference(forward_demodulation,[],[f441,f2193]) ).
fof(f2193,plain,
( e11 = op1(e11,e13)
| ~ spl144_220 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f441,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6623,plain,
( ~ spl144_156
| ~ spl144_39
| spl144_108
| ~ spl144_117
| ~ spl144_220 ),
inference(avatar_split_clause,[],[f6622,f2191,f1715,f1679,f1377,f1887]) ).
fof(f1887,plain,
( spl144_156
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_156])]) ).
fof(f1377,plain,
( spl144_39
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_39])]) ).
fof(f1679,plain,
( spl144_108
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_108])]) ).
fof(f1715,plain,
( spl144_117
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_117])]) ).
fof(f6622,plain,
( e21 != op2(e21,e23)
| ~ spl144_39
| spl144_108
| ~ spl144_117
| ~ spl144_220 ),
inference(forward_demodulation,[],[f6621,f1378]) ).
fof(f1378,plain,
( e21 = h2(e11)
| ~ spl144_39 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f6621,plain,
( op2(e21,e23) != h2(e11)
| ~ spl144_39
| spl144_108
| ~ spl144_117
| ~ spl144_220 ),
inference(forward_demodulation,[],[f6620,f2193]) ).
fof(f6620,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| ~ spl144_39
| spl144_108
| ~ spl144_117 ),
inference(forward_demodulation,[],[f6619,f1378]) ).
fof(f6619,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl144_108
| ~ spl144_117 ),
inference(forward_demodulation,[],[f1681,f1716]) ).
fof(f1716,plain,
( e23 = h2(e13)
| ~ spl144_117 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1681,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl144_108 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f6609,plain,
( ~ spl144_202
| ~ spl144_152 ),
inference(avatar_split_clause,[],[f6229,f1870,f2093]) ).
fof(f2093,plain,
( spl144_202
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_202])]) ).
fof(f1870,plain,
( spl144_152
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_152])]) ).
fof(f6229,plain,
( op2(e20,e20) != e22
| ~ spl144_152 ),
inference(forward_demodulation,[],[f470,f1872]) ).
fof(f1872,plain,
( e22 = op2(e23,e20)
| ~ spl144_152 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f470,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6605,plain,
( spl144_203
| ~ spl144_198
| ~ spl144_282 ),
inference(avatar_split_clause,[],[f6339,f2502,f2073,f2099]) ).
fof(f2099,plain,
( spl144_203
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_203])]) ).
fof(f2073,plain,
( spl144_198
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_198])]) ).
fof(f2502,plain,
( spl144_282
<=> e21 = op2(e20,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_282])]) ).
fof(f6339,plain,
( op2(e20,e20) = e21
| ~ spl144_198
| ~ spl144_282 ),
inference(forward_demodulation,[],[f2504,f2075]) ).
fof(f2075,plain,
( e20 = op2(e20,e21)
| ~ spl144_198 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f2504,plain,
( e21 = op2(e20,op2(e20,e21))
| ~ spl144_282 ),
inference(avatar_component_clause,[],[f2502]) ).
fof(f6564,plain,
( ~ spl144_45
| spl144_116
| ~ spl144_117
| ~ spl144_165
| ~ spl144_229 ),
inference(avatar_contradiction_clause,[],[f6563]) ).
fof(f6563,plain,
( $false
| ~ spl144_45
| spl144_116
| ~ spl144_117
| ~ spl144_165
| ~ spl144_229 ),
inference(subsumption_resolution,[],[f6562,f1927]) ).
fof(f1927,plain,
( e20 = op2(e23,e23)
| ~ spl144_165 ),
inference(avatar_component_clause,[],[f1925]) ).
fof(f1925,plain,
( spl144_165
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_165])]) ).
fof(f6562,plain,
( e20 != op2(e23,e23)
| ~ spl144_45
| spl144_116
| ~ spl144_117
| ~ spl144_229 ),
inference(forward_demodulation,[],[f6561,f1407]) ).
fof(f1407,plain,
( e20 = h2(e10)
| ~ spl144_45 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1406,plain,
( spl144_45
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_45])]) ).
fof(f6561,plain,
( op2(e23,e23) != h2(e10)
| spl144_116
| ~ spl144_117
| ~ spl144_229 ),
inference(forward_demodulation,[],[f6560,f2231]) ).
fof(f6560,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| spl144_116
| ~ spl144_117 ),
inference(forward_demodulation,[],[f1713,f1716]) ).
fof(f1713,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl144_116 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1711,plain,
( spl144_116
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_116])]) ).
fof(f6555,plain,
( ~ spl144_33
| spl144_115
| ~ spl144_117
| ~ spl144_147
| ~ spl144_211 ),
inference(avatar_contradiction_clause,[],[f6554]) ).
fof(f6554,plain,
( $false
| ~ spl144_33
| spl144_115
| ~ spl144_117
| ~ spl144_147
| ~ spl144_211 ),
inference(subsumption_resolution,[],[f6553,f1850]) ).
fof(f1850,plain,
( e23 = op2(e23,e22)
| ~ spl144_147 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f1848,plain,
( spl144_147
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_147])]) ).
fof(f6553,plain,
( e23 != op2(e23,e22)
| ~ spl144_33
| spl144_115
| ~ spl144_117
| ~ spl144_211 ),
inference(forward_demodulation,[],[f6552,f1716]) ).
fof(f6552,plain,
( op2(e23,e22) != h2(e13)
| ~ spl144_33
| spl144_115
| ~ spl144_117
| ~ spl144_211 ),
inference(forward_demodulation,[],[f6551,f2154]) ).
fof(f6551,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| ~ spl144_33
| spl144_115
| ~ spl144_117 ),
inference(forward_demodulation,[],[f6550,f1716]) ).
fof(f6550,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| ~ spl144_33
| spl144_115 ),
inference(forward_demodulation,[],[f1709,f1349]) ).
fof(f1349,plain,
( e22 = h2(e12)
| ~ spl144_33 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1348,plain,
( spl144_33
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_33])]) ).
fof(f1709,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl144_115 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1707,plain,
( spl144_115
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_115])]) ).
fof(f6545,plain,
( ~ spl144_39
| spl144_114
| ~ spl144_117
| ~ spl144_160
| ~ spl144_224 ),
inference(avatar_contradiction_clause,[],[f6544]) ).
fof(f6544,plain,
( $false
| ~ spl144_39
| spl144_114
| ~ spl144_117
| ~ spl144_160
| ~ spl144_224 ),
inference(subsumption_resolution,[],[f6543,f1906]) ).
fof(f1906,plain,
( e21 = op2(e23,e21)
| ~ spl144_160 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1904,plain,
( spl144_160
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_160])]) ).
fof(f6543,plain,
( e21 != op2(e23,e21)
| ~ spl144_39
| spl144_114
| ~ spl144_117
| ~ spl144_224 ),
inference(forward_demodulation,[],[f6542,f1378]) ).
fof(f6542,plain,
( op2(e23,e21) != h2(e11)
| ~ spl144_39
| spl144_114
| ~ spl144_117
| ~ spl144_224 ),
inference(forward_demodulation,[],[f6541,f2210]) ).
fof(f2210,plain,
( e11 = op1(e13,e11)
| ~ spl144_224 ),
inference(avatar_component_clause,[],[f2208]) ).
fof(f2208,plain,
( spl144_224
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_224])]) ).
fof(f6541,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| ~ spl144_39
| spl144_114
| ~ spl144_117 ),
inference(forward_demodulation,[],[f6540,f1716]) ).
fof(f6540,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| ~ spl144_39
| spl144_114 ),
inference(forward_demodulation,[],[f1705,f1378]) ).
fof(f1705,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl144_114 ),
inference(avatar_component_clause,[],[f1703]) ).
fof(f1703,plain,
( spl144_114
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_114])]) ).
fof(f6536,plain,
( ~ spl144_33
| ~ spl144_45
| spl144_113
| ~ spl144_117
| ~ spl144_152
| ~ spl144_216 ),
inference(avatar_contradiction_clause,[],[f6535]) ).
fof(f6535,plain,
( $false
| ~ spl144_33
| ~ spl144_45
| spl144_113
| ~ spl144_117
| ~ spl144_152
| ~ spl144_216 ),
inference(subsumption_resolution,[],[f6534,f1872]) ).
fof(f6534,plain,
( e22 != op2(e23,e20)
| ~ spl144_33
| ~ spl144_45
| spl144_113
| ~ spl144_117
| ~ spl144_216 ),
inference(forward_demodulation,[],[f6533,f1349]) ).
fof(f6533,plain,
( op2(e23,e20) != h2(e12)
| ~ spl144_45
| spl144_113
| ~ spl144_117
| ~ spl144_216 ),
inference(forward_demodulation,[],[f6532,f2176]) ).
fof(f2176,plain,
( e12 = op1(e13,e10)
| ~ spl144_216 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2174,plain,
( spl144_216
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_216])]) ).
fof(f6532,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| ~ spl144_45
| spl144_113
| ~ spl144_117 ),
inference(forward_demodulation,[],[f6531,f1716]) ).
fof(f6531,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| ~ spl144_45
| spl144_113 ),
inference(forward_demodulation,[],[f1701,f1407]) ).
fof(f1701,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl144_113 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f1699,plain,
( spl144_113
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_113])]) ).
fof(f6526,plain,
( ~ spl144_33
| ~ spl144_39
| spl144_111
| ~ spl144_181
| ~ spl144_245 ),
inference(avatar_contradiction_clause,[],[f6525]) ).
fof(f6525,plain,
( $false
| ~ spl144_33
| ~ spl144_39
| spl144_111
| ~ spl144_181
| ~ spl144_245 ),
inference(subsumption_resolution,[],[f6524,f1997]) ).
fof(f1997,plain,
( e21 = op2(e22,e22)
| ~ spl144_181 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f1995,plain,
( spl144_181
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_181])]) ).
fof(f6524,plain,
( e21 != op2(e22,e22)
| ~ spl144_33
| ~ spl144_39
| spl144_111
| ~ spl144_245 ),
inference(forward_demodulation,[],[f6523,f1378]) ).
fof(f6523,plain,
( op2(e22,e22) != h2(e11)
| ~ spl144_33
| spl144_111
| ~ spl144_245 ),
inference(forward_demodulation,[],[f6522,f2301]) ).
fof(f2301,plain,
( e11 = op1(e12,e12)
| ~ spl144_245 ),
inference(avatar_component_clause,[],[f2299]) ).
fof(f2299,plain,
( spl144_245
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_245])]) ).
fof(f6522,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| ~ spl144_33
| spl144_111 ),
inference(forward_demodulation,[],[f1693,f1349]) ).
fof(f1693,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl144_111 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f1691,plain,
( spl144_111
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_111])]) ).
fof(f6517,plain,
( ~ spl144_33
| ~ spl144_39
| spl144_110
| ~ spl144_117
| ~ spl144_173
| ~ spl144_237 ),
inference(avatar_contradiction_clause,[],[f6516]) ).
fof(f6516,plain,
( $false
| ~ spl144_33
| ~ spl144_39
| spl144_110
| ~ spl144_117
| ~ spl144_173
| ~ spl144_237 ),
inference(subsumption_resolution,[],[f6515,f1962]) ).
fof(f1962,plain,
( e23 = op2(e22,e21)
| ~ spl144_173 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f1960,plain,
( spl144_173
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_173])]) ).
fof(f6515,plain,
( e23 != op2(e22,e21)
| ~ spl144_33
| ~ spl144_39
| spl144_110
| ~ spl144_117
| ~ spl144_237 ),
inference(forward_demodulation,[],[f6514,f1716]) ).
fof(f6514,plain,
( op2(e22,e21) != h2(e13)
| ~ spl144_33
| ~ spl144_39
| spl144_110
| ~ spl144_237 ),
inference(forward_demodulation,[],[f6513,f2266]) ).
fof(f2266,plain,
( e13 = op1(e12,e11)
| ~ spl144_237 ),
inference(avatar_component_clause,[],[f2264]) ).
fof(f2264,plain,
( spl144_237
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_237])]) ).
fof(f6513,plain,
( op2(e22,e21) != h2(op1(e12,e11))
| ~ spl144_33
| ~ spl144_39
| spl144_110 ),
inference(forward_demodulation,[],[f6512,f1349]) ).
fof(f6512,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| ~ spl144_39
| spl144_110 ),
inference(forward_demodulation,[],[f1689,f1378]) ).
fof(f1689,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl144_110 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f1687,plain,
( spl144_110
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_110])]) ).
fof(f6507,plain,
( ~ spl144_33
| ~ spl144_45
| spl144_109
| ~ spl144_187
| ~ spl144_251 ),
inference(avatar_contradiction_clause,[],[f6506]) ).
fof(f6506,plain,
( $false
| ~ spl144_33
| ~ spl144_45
| spl144_109
| ~ spl144_187
| ~ spl144_251 ),
inference(subsumption_resolution,[],[f6505,f2024]) ).
fof(f2024,plain,
( e20 = op2(e22,e20)
| ~ spl144_187 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2022,plain,
( spl144_187
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_187])]) ).
fof(f6505,plain,
( e20 != op2(e22,e20)
| ~ spl144_33
| ~ spl144_45
| spl144_109
| ~ spl144_251 ),
inference(forward_demodulation,[],[f6504,f1407]) ).
fof(f6504,plain,
( op2(e22,e20) != h2(e10)
| ~ spl144_33
| ~ spl144_45
| spl144_109
| ~ spl144_251 ),
inference(forward_demodulation,[],[f6503,f2328]) ).
fof(f2328,plain,
( e10 = op1(e12,e10)
| ~ spl144_251 ),
inference(avatar_component_clause,[],[f2326]) ).
fof(f2326,plain,
( spl144_251
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_251])]) ).
fof(f6503,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| ~ spl144_33
| ~ spl144_45
| spl144_109 ),
inference(forward_demodulation,[],[f6502,f1349]) ).
fof(f6502,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| ~ spl144_45
| spl144_109 ),
inference(forward_demodulation,[],[f1685,f1407]) ).
fof(f1685,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl144_109 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1683,plain,
( spl144_109
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_109])]) ).
fof(f6488,plain,
( ~ spl144_33
| ~ spl144_39
| ~ spl144_45
| spl144_107
| ~ spl144_185
| ~ spl144_249 ),
inference(avatar_contradiction_clause,[],[f6487]) ).
fof(f6487,plain,
( $false
| ~ spl144_33
| ~ spl144_39
| ~ spl144_45
| spl144_107
| ~ spl144_185
| ~ spl144_249 ),
inference(subsumption_resolution,[],[f6486,f2015]) ).
fof(f2015,plain,
( e20 = op2(e21,e22)
| ~ spl144_185 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f2013,plain,
( spl144_185
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_185])]) ).
fof(f6486,plain,
( e20 != op2(e21,e22)
| ~ spl144_33
| ~ spl144_39
| ~ spl144_45
| spl144_107
| ~ spl144_249 ),
inference(forward_demodulation,[],[f6485,f1407]) ).
fof(f6485,plain,
( op2(e21,e22) != h2(e10)
| ~ spl144_33
| ~ spl144_39
| spl144_107
| ~ spl144_249 ),
inference(forward_demodulation,[],[f6484,f2319]) ).
fof(f2319,plain,
( e10 = op1(e11,e12)
| ~ spl144_249 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f2317,plain,
( spl144_249
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_249])]) ).
fof(f6484,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| ~ spl144_33
| ~ spl144_39
| spl144_107 ),
inference(forward_demodulation,[],[f6483,f1378]) ).
fof(f6483,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e22)
| ~ spl144_33
| spl144_107 ),
inference(forward_demodulation,[],[f1677,f1349]) ).
fof(f1677,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl144_107 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f1675,plain,
( spl144_107
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_107])]) ).
fof(f6478,plain,
( ~ spl144_33
| ~ spl144_39
| spl144_106
| ~ spl144_193
| ~ spl144_257 ),
inference(avatar_contradiction_clause,[],[f6477]) ).
fof(f6477,plain,
( $false
| ~ spl144_33
| ~ spl144_39
| spl144_106
| ~ spl144_193
| ~ spl144_257 ),
inference(subsumption_resolution,[],[f6476,f2051]) ).
fof(f2051,plain,
( e22 = op2(e21,e21)
| ~ spl144_193 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2049,plain,
( spl144_193
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_193])]) ).
fof(f6476,plain,
( e22 != op2(e21,e21)
| ~ spl144_33
| ~ spl144_39
| spl144_106
| ~ spl144_257 ),
inference(forward_demodulation,[],[f6475,f1349]) ).
fof(f6475,plain,
( op2(e21,e21) != h2(e12)
| ~ spl144_39
| spl144_106
| ~ spl144_257 ),
inference(forward_demodulation,[],[f6474,f2355]) ).
fof(f2355,plain,
( e12 = op1(e11,e11)
| ~ spl144_257 ),
inference(avatar_component_clause,[],[f2353]) ).
fof(f2353,plain,
( spl144_257
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_257])]) ).
fof(f6474,plain,
( op2(e21,e21) != h2(op1(e11,e11))
| ~ spl144_39
| spl144_106 ),
inference(forward_demodulation,[],[f1673,f1378]) ).
fof(f1673,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl144_106 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f1671,plain,
( spl144_106
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_106])]) ).
fof(f6469,plain,
( ~ spl144_39
| ~ spl144_45
| spl144_105
| ~ spl144_117
| ~ spl144_191
| ~ spl144_255 ),
inference(avatar_contradiction_clause,[],[f6468]) ).
fof(f6468,plain,
( $false
| ~ spl144_39
| ~ spl144_45
| spl144_105
| ~ spl144_117
| ~ spl144_191
| ~ spl144_255 ),
inference(subsumption_resolution,[],[f6467,f2042]) ).
fof(f2042,plain,
( e23 = op2(e21,e20)
| ~ spl144_191 ),
inference(avatar_component_clause,[],[f2040]) ).
fof(f2040,plain,
( spl144_191
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_191])]) ).
fof(f6467,plain,
( e23 != op2(e21,e20)
| ~ spl144_39
| ~ spl144_45
| spl144_105
| ~ spl144_117
| ~ spl144_255 ),
inference(forward_demodulation,[],[f6466,f1716]) ).
fof(f6466,plain,
( op2(e21,e20) != h2(e13)
| ~ spl144_39
| ~ spl144_45
| spl144_105
| ~ spl144_255 ),
inference(forward_demodulation,[],[f6465,f2346]) ).
fof(f2346,plain,
( e13 = op1(e11,e10)
| ~ spl144_255 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f2344,plain,
( spl144_255
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_255])]) ).
fof(f6465,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| ~ spl144_39
| ~ spl144_45
| spl144_105 ),
inference(forward_demodulation,[],[f6464,f1378]) ).
fof(f6464,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| ~ spl144_45
| spl144_105 ),
inference(forward_demodulation,[],[f1669,f1407]) ).
fof(f1669,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl144_105 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1667,plain,
( spl144_105
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_105])]) ).
fof(f6459,plain,
( ~ spl144_45
| spl144_104
| ~ spl144_117
| ~ spl144_141
| ~ spl144_205 ),
inference(avatar_contradiction_clause,[],[f6458]) ).
fof(f6458,plain,
( $false
| ~ spl144_45
| spl144_104
| ~ spl144_117
| ~ spl144_141
| ~ spl144_205 ),
inference(subsumption_resolution,[],[f6457,f1825]) ).
fof(f1825,plain,
( e23 = op2(e20,e23)
| ~ spl144_141 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1823,plain,
( spl144_141
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_141])]) ).
fof(f6457,plain,
( e23 != op2(e20,e23)
| ~ spl144_45
| spl144_104
| ~ spl144_117
| ~ spl144_205 ),
inference(forward_demodulation,[],[f6456,f1716]) ).
fof(f6456,plain,
( op2(e20,e23) != h2(e13)
| ~ spl144_45
| spl144_104
| ~ spl144_117
| ~ spl144_205 ),
inference(forward_demodulation,[],[f6455,f2129]) ).
fof(f2129,plain,
( e13 = op1(e10,e13)
| ~ spl144_205 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2127,plain,
( spl144_205
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_205])]) ).
fof(f6455,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| ~ spl144_45
| spl144_104
| ~ spl144_117 ),
inference(forward_demodulation,[],[f6454,f1407]) ).
fof(f6454,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| spl144_104
| ~ spl144_117 ),
inference(forward_demodulation,[],[f1665,f1716]) ).
fof(f1665,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl144_104 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f1663,plain,
( spl144_104
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_104])]) ).
fof(f6449,plain,
( ~ spl144_33
| ~ spl144_45
| spl144_103
| ~ spl144_174
| ~ spl144_238 ),
inference(avatar_contradiction_clause,[],[f6448]) ).
fof(f6448,plain,
( $false
| ~ spl144_33
| ~ spl144_45
| spl144_103
| ~ spl144_174
| ~ spl144_238 ),
inference(subsumption_resolution,[],[f6447,f1967]) ).
fof(f1967,plain,
( e22 = op2(e20,e22)
| ~ spl144_174 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f1965,plain,
( spl144_174
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_174])]) ).
fof(f6447,plain,
( e22 != op2(e20,e22)
| ~ spl144_33
| ~ spl144_45
| spl144_103
| ~ spl144_238 ),
inference(forward_demodulation,[],[f6446,f1349]) ).
fof(f6446,plain,
( op2(e20,e22) != h2(e12)
| ~ spl144_33
| ~ spl144_45
| spl144_103
| ~ spl144_238 ),
inference(forward_demodulation,[],[f6445,f2271]) ).
fof(f2271,plain,
( e12 = op1(e10,e12)
| ~ spl144_238 ),
inference(avatar_component_clause,[],[f2269]) ).
fof(f2269,plain,
( spl144_238
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_238])]) ).
fof(f6445,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| ~ spl144_33
| ~ spl144_45
| spl144_103 ),
inference(forward_demodulation,[],[f6444,f1407]) ).
fof(f6444,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e22)
| ~ spl144_33
| spl144_103 ),
inference(forward_demodulation,[],[f1661,f1349]) ).
fof(f1661,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl144_103 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f1659,plain,
( spl144_103
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_103])]) ).
fof(f6443,plain,
( ~ spl144_39
| ~ spl144_45
| spl144_102
| ~ spl144_198
| ~ spl144_262 ),
inference(avatar_contradiction_clause,[],[f6442]) ).
fof(f6442,plain,
( $false
| ~ spl144_39
| ~ spl144_45
| spl144_102
| ~ spl144_198
| ~ spl144_262 ),
inference(subsumption_resolution,[],[f6441,f2075]) ).
fof(f6441,plain,
( e20 != op2(e20,e21)
| ~ spl144_39
| ~ spl144_45
| spl144_102
| ~ spl144_262 ),
inference(forward_demodulation,[],[f6440,f1407]) ).
fof(f6440,plain,
( op2(e20,e21) != h2(e10)
| ~ spl144_39
| ~ spl144_45
| spl144_102
| ~ spl144_262 ),
inference(forward_demodulation,[],[f6439,f2379]) ).
fof(f2379,plain,
( e10 = op1(e10,e11)
| ~ spl144_262 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f2377,plain,
( spl144_262
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_262])]) ).
fof(f6439,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| ~ spl144_39
| ~ spl144_45
| spl144_102 ),
inference(forward_demodulation,[],[f6438,f1407]) ).
fof(f6438,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| ~ spl144_39
| spl144_102 ),
inference(forward_demodulation,[],[f1657,f1378]) ).
fof(f1657,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl144_102 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1655,plain,
( spl144_102
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_102])]) ).
fof(f6423,plain,
( ~ spl144_33
| spl144_112
| ~ spl144_117
| ~ spl144_150
| ~ spl144_214 ),
inference(avatar_contradiction_clause,[],[f6422]) ).
fof(f6422,plain,
( $false
| ~ spl144_33
| spl144_112
| ~ spl144_117
| ~ spl144_150
| ~ spl144_214 ),
inference(subsumption_resolution,[],[f6421,f1863]) ).
fof(f1863,plain,
( e22 = op2(e22,e23)
| ~ spl144_150 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f1861,plain,
( spl144_150
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_150])]) ).
fof(f6421,plain,
( e22 != op2(e22,e23)
| ~ spl144_33
| spl144_112
| ~ spl144_117
| ~ spl144_214 ),
inference(forward_demodulation,[],[f6420,f1349]) ).
fof(f6420,plain,
( op2(e22,e23) != h2(e12)
| ~ spl144_33
| spl144_112
| ~ spl144_117
| ~ spl144_214 ),
inference(forward_demodulation,[],[f6419,f2167]) ).
fof(f2167,plain,
( e12 = op1(e12,e13)
| ~ spl144_214 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f2165,plain,
( spl144_214
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_214])]) ).
fof(f6419,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| ~ spl144_33
| spl144_112
| ~ spl144_117 ),
inference(forward_demodulation,[],[f6418,f1349]) ).
fof(f6418,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl144_112
| ~ spl144_117 ),
inference(forward_demodulation,[],[f1697,f1716]) ).
fof(f1697,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl144_112 ),
inference(avatar_component_clause,[],[f1695]) ).
fof(f1695,plain,
( spl144_112
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_112])]) ).
fof(f6414,plain,
( ~ spl144_39
| ~ spl144_45
| spl144_101
| ~ spl144_203
| ~ spl144_267 ),
inference(avatar_contradiction_clause,[],[f6413]) ).
fof(f6413,plain,
( $false
| ~ spl144_39
| ~ spl144_45
| spl144_101
| ~ spl144_203
| ~ spl144_267 ),
inference(subsumption_resolution,[],[f6409,f1378]) ).
fof(f6409,plain,
( e21 != h2(e11)
| ~ spl144_45
| spl144_101
| ~ spl144_203
| ~ spl144_267 ),
inference(superposition,[],[f6371,f2405]) ).
fof(f2405,plain,
( op1(e10,e10) = e11
| ~ spl144_267 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f2403,plain,
( spl144_267
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_267])]) ).
fof(f6371,plain,
( e21 != h2(op1(e10,e10))
| ~ spl144_45
| spl144_101
| ~ spl144_203 ),
inference(forward_demodulation,[],[f6307,f2101]) ).
fof(f2101,plain,
( op2(e20,e20) = e21
| ~ spl144_203 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f6307,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| ~ spl144_45
| spl144_101 ),
inference(superposition,[],[f1653,f1407]) ).
fof(f1653,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl144_101 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1651,plain,
( spl144_101
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_101])]) ).
fof(f6362,plain,
( spl144_244
| ~ spl144_257
| ~ spl144_359 ),
inference(avatar_split_clause,[],[f6347,f3087,f2353,f2295]) ).
fof(f2295,plain,
( spl144_244
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_244])]) ).
fof(f3087,plain,
( spl144_359
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_359])]) ).
fof(f6347,plain,
( e11 = op1(e11,e12)
| ~ spl144_257
| ~ spl144_359 ),
inference(forward_demodulation,[],[f3089,f2355]) ).
fof(f3089,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl144_359 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f6351,plain,
( ~ spl144_219
| spl144_253
| ~ spl144_362 ),
inference(avatar_contradiction_clause,[],[f6350]) ).
fof(f6350,plain,
( $false
| ~ spl144_219
| spl144_253
| ~ spl144_362 ),
inference(subsumption_resolution,[],[f6349,f2336]) ).
fof(f2336,plain,
( e13 != op1(e10,e11)
| spl144_253 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f2335,plain,
( spl144_253
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_253])]) ).
fof(f6349,plain,
( e13 = op1(e10,e11)
| ~ spl144_219
| ~ spl144_362 ),
inference(forward_demodulation,[],[f3106,f2189]) ).
fof(f2189,plain,
( e11 = op1(e10,e13)
| ~ spl144_219 ),
inference(avatar_component_clause,[],[f2187]) ).
fof(f2187,plain,
( spl144_219
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_219])]) ).
fof(f3106,plain,
( e13 = op1(e10,op1(e10,e13))
| ~ spl144_362 ),
inference(avatar_component_clause,[],[f3104]) ).
fof(f3104,plain,
( spl144_362
<=> e13 = op1(e10,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_362])]) ).
fof(f6343,plain,
( spl144_221
| ~ spl144_237
| ~ spl144_354 ),
inference(avatar_contradiction_clause,[],[f6342]) ).
fof(f6342,plain,
( $false
| spl144_221
| ~ spl144_237
| ~ spl144_354 ),
inference(subsumption_resolution,[],[f6341,f2196]) ).
fof(f2196,plain,
( e11 != op1(e12,e13)
| spl144_221 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f6341,plain,
( e11 = op1(e12,e13)
| ~ spl144_237
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3062,f2266]) ).
fof(f3062,plain,
( e11 = op1(e12,op1(e12,e11))
| ~ spl144_354 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f3060,plain,
( spl144_354
<=> e11 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_354])]) ).
fof(f6320,plain,
( spl144_157
| ~ spl144_173
| ~ spl144_272 ),
inference(avatar_contradiction_clause,[],[f6319]) ).
fof(f6319,plain,
( $false
| spl144_157
| ~ spl144_173
| ~ spl144_272 ),
inference(subsumption_resolution,[],[f6318,f1892]) ).
fof(f1892,plain,
( e21 != op2(e22,e23)
| spl144_157 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1891,plain,
( spl144_157
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_157])]) ).
fof(f6318,plain,
( e21 = op2(e22,e23)
| ~ spl144_173
| ~ spl144_272 ),
inference(forward_demodulation,[],[f2450,f1962]) ).
fof(f2450,plain,
( e21 = op2(e22,op2(e22,e21))
| ~ spl144_272 ),
inference(avatar_component_clause,[],[f2448]) ).
fof(f2448,plain,
( spl144_272
<=> e21 = op2(e22,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_272])]) ).
fof(f6306,plain,
( spl144_45
| ~ spl144_165
| ~ spl144_173
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f6305,f2049,f1960,f1925,f1406]) ).
fof(f6305,plain,
( e20 = h2(e10)
| ~ spl144_165
| ~ spl144_173
| ~ spl144_193 ),
inference(forward_demodulation,[],[f6304,f1927]) ).
fof(f6304,plain,
( op2(e23,e23) = h2(e10)
| ~ spl144_173
| ~ spl144_193 ),
inference(forward_demodulation,[],[f6303,f1962]) ).
fof(f6303,plain,
( h2(e10) = op2(op2(e22,e21),op2(e22,e21))
| ~ spl144_193 ),
inference(forward_demodulation,[],[f417,f2051]) ).
fof(f417,plain,
op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(op2(e21,e21),e21) = h2(e13)
& op2(e21,e21) = h2(e12)
& op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10)
& e21 = h2(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6255,plain,
( ~ spl144_152
| spl144_168
| ~ spl144_350 ),
inference(avatar_contradiction_clause,[],[f6254]) ).
fof(f6254,plain,
( $false
| ~ spl144_152
| spl144_168
| ~ spl144_350 ),
inference(subsumption_resolution,[],[f6253,f1939]) ).
fof(f1939,plain,
( e20 != op2(e23,e22)
| spl144_168 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1938,plain,
( spl144_168
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_168])]) ).
fof(f6253,plain,
( e20 = op2(e23,e22)
| ~ spl144_152
| ~ spl144_350 ),
inference(forward_demodulation,[],[f3036,f1872]) ).
fof(f3036,plain,
( e20 = op2(e23,op2(e23,e20))
| ~ spl144_350 ),
inference(avatar_component_clause,[],[f3034]) ).
fof(f3034,plain,
( spl144_350
<=> e20 = op2(e23,op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_350])]) ).
fof(f6132,plain,
( ~ spl144_202
| ~ spl144_203 ),
inference(avatar_contradiction_clause,[],[f6131]) ).
fof(f6131,plain,
( $false
| ~ spl144_202
| ~ spl144_203 ),
inference(subsumption_resolution,[],[f6126,f379]) ).
fof(f379,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6126,plain,
( e21 = e22
| ~ spl144_202
| ~ spl144_203 ),
inference(superposition,[],[f2095,f2101]) ).
fof(f2095,plain,
( op2(e20,e20) = e22
| ~ spl144_202 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f5991,plain,
( ~ spl144_151
| ~ spl144_165 ),
inference(avatar_contradiction_clause,[],[f5990]) ).
fof(f5990,plain,
( $false
| ~ spl144_151
| ~ spl144_165 ),
inference(subsumption_resolution,[],[f5989,f377]) ).
fof(f377,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f5989,plain,
( e20 = e22
| ~ spl144_151
| ~ spl144_165 ),
inference(forward_demodulation,[],[f1867,f1927]) ).
fof(f1867,plain,
( e22 = op2(e23,e23)
| ~ spl144_151 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f1865,plain,
( spl144_151
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_151])]) ).
fof(f5982,plain,
( ~ spl144_166
| ~ spl144_165 ),
inference(avatar_split_clause,[],[f5700,f1925,f1930]) ).
fof(f1930,plain,
( spl144_166
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_166])]) ).
fof(f5700,plain,
( e20 != op2(e23,e20)
| ~ spl144_165 ),
inference(forward_demodulation,[],[f512,f1927]) ).
fof(f512,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5981,plain,
( ~ spl144_164
| ~ spl144_165 ),
inference(avatar_split_clause,[],[f5689,f1925,f1921]) ).
fof(f1921,plain,
( spl144_164
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_164])]) ).
fof(f5689,plain,
( e20 != op2(e22,e23)
| ~ spl144_165 ),
inference(forward_demodulation,[],[f491,f1927]) ).
fof(f491,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5781,plain,
( ~ spl144_255
| ~ spl144_264 ),
inference(avatar_contradiction_clause,[],[f5780]) ).
fof(f5780,plain,
( $false
| ~ spl144_255
| ~ spl144_264 ),
inference(subsumption_resolution,[],[f5776,f400]) ).
fof(f5776,plain,
( e10 = e13
| ~ spl144_255
| ~ spl144_264 ),
inference(superposition,[],[f2346,f2388]) ).
fof(f2388,plain,
( e10 = op1(e11,e10)
| ~ spl144_264 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f2386,plain,
( spl144_264
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_264])]) ).
fof(f5739,plain,
( ~ spl144_256
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f5166,f2353,f2349]) ).
fof(f2349,plain,
( spl144_256
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_256])]) ).
fof(f5166,plain,
( e12 != op1(e10,e11)
| ~ spl144_257 ),
inference(forward_demodulation,[],[f426,f2355]) ).
fof(f426,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5738,plain,
( ~ spl144_239
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f5493,f2353,f2273]) ).
fof(f2273,plain,
( spl144_239
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_239])]) ).
fof(f5493,plain,
( e12 != op1(e11,e12)
| ~ spl144_257 ),
inference(forward_demodulation,[],[f453,f2355]) ).
fof(f453,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5737,plain,
( ~ spl144_246
| ~ spl144_251 ),
inference(avatar_contradiction_clause,[],[f5736]) ).
fof(f5736,plain,
( $false
| ~ spl144_246
| ~ spl144_251 ),
inference(subsumption_resolution,[],[f5735,f398]) ).
fof(f398,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f5735,plain,
( e10 = e11
| ~ spl144_246
| ~ spl144_251 ),
inference(forward_demodulation,[],[f2306,f2328]) ).
fof(f2306,plain,
( e11 = op1(e12,e10)
| ~ spl144_246 ),
inference(avatar_component_clause,[],[f2304]) ).
fof(f2304,plain,
( spl144_246
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_246])]) ).
fof(f5734,plain,
( ~ spl144_266
| ~ spl144_216 ),
inference(avatar_split_clause,[],[f5161,f2174,f2397]) ).
fof(f2397,plain,
( spl144_266
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_266])]) ).
fof(f5161,plain,
( op1(e10,e10) != e12
| ~ spl144_216 ),
inference(forward_demodulation,[],[f422,f2176]) ).
fof(f422,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5732,plain,
( ~ spl144_253
| ~ spl144_237 ),
inference(avatar_split_clause,[],[f5731,f2264,f2335]) ).
fof(f5731,plain,
( e13 != op1(e10,e11)
| ~ spl144_237 ),
inference(forward_demodulation,[],[f427,f2266]) ).
fof(f427,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5726,plain,
( spl144_229
| ~ spl144_237
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f5718,f2353,f2264,f2229]) ).
fof(f5718,plain,
( e10 = op1(e13,e13)
| ~ spl144_237
| ~ spl144_257 ),
inference(forward_demodulation,[],[f5717,f2266]) ).
fof(f5717,plain,
( e10 = op1(op1(e12,e11),op1(e12,e11))
| ~ spl144_257 ),
inference(forward_demodulation,[],[f519,f2355]) ).
fof(f519,plain,
e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5723,plain,
( ~ spl144_207
| ~ spl144_237 ),
inference(avatar_split_clause,[],[f5722,f2264,f2135]) ).
fof(f2135,plain,
( spl144_207
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_207])]) ).
fof(f5722,plain,
( e13 != op1(e12,e13)
| ~ spl144_237 ),
inference(forward_demodulation,[],[f460,f2266]) ).
fof(f460,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5613,plain,
( spl144_165
| ~ spl144_173
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f5603,f2049,f1960,f1925]) ).
fof(f5603,plain,
( e20 = op2(e23,e23)
| ~ spl144_173
| ~ spl144_193 ),
inference(forward_demodulation,[],[f5602,f1962]) ).
fof(f5602,plain,
( e20 = op2(op2(e22,e21),op2(e22,e21))
| ~ spl144_193 ),
inference(forward_demodulation,[],[f516,f2051]) ).
fof(f516,plain,
e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e23 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5611,plain,
( ~ spl144_162
| ~ spl144_198 ),
inference(avatar_split_clause,[],[f5610,f2073,f1913]) ).
fof(f1913,plain,
( spl144_162
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_162])]) ).
fof(f5610,plain,
( e20 != op2(e20,e23)
| ~ spl144_198 ),
inference(forward_demodulation,[],[f496,f2075]) ).
fof(f496,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5601,plain,
( spl144_117
| ~ spl144_173
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f5600,f2049,f1960,f1715]) ).
fof(f5600,plain,
( e23 = h2(e13)
| ~ spl144_173
| ~ spl144_193 ),
inference(forward_demodulation,[],[f5599,f1962]) ).
fof(f5599,plain,
( op2(e22,e21) = h2(e13)
| ~ spl144_193 ),
inference(forward_demodulation,[],[f419,f2051]) ).
fof(f419,plain,
op2(op2(e21,e21),e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f5506,plain,
( ~ spl144_258
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f5191,f2353,f2358]) ).
fof(f2358,plain,
( spl144_258
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_258])]) ).
fof(f5191,plain,
( e12 != op1(e11,e10)
| ~ spl144_257 ),
inference(forward_demodulation,[],[f450,f2355]) ).
fof(f450,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5505,plain,
( ~ spl144_261
| ~ spl144_246 ),
inference(avatar_split_clause,[],[f5162,f2304,f2372]) ).
fof(f2372,plain,
( spl144_261
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_261])]) ).
fof(f5162,plain,
( e11 != op1(e11,e10)
| ~ spl144_246 ),
inference(forward_demodulation,[],[f423,f2306]) ).
fof(f423,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5502,plain,
( ~ spl144_242
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f5501,f2353,f2286]) ).
fof(f2286,plain,
( spl144_242
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_242])]) ).
fof(f5501,plain,
( e12 != op1(e12,e11)
| ~ spl144_257 ),
inference(forward_demodulation,[],[f429,f2355]) ).
fof(f429,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5496,plain,
( ~ spl144_245
| ~ spl144_246 ),
inference(avatar_split_clause,[],[f5495,f2304,f2299]) ).
fof(f5495,plain,
( e11 != op1(e12,e12)
| ~ spl144_246 ),
inference(forward_demodulation,[],[f457,f2306]) ).
fof(f457,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5494,plain,
( spl144_237
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f5481,f2353,f2264]) ).
fof(f5481,plain,
( e13 = op1(e12,e11)
| ~ spl144_257 ),
inference(forward_demodulation,[],[f521,f2355]) ).
fof(f521,plain,
e13 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f5433,plain,
( ~ spl144_201
| ~ spl144_202 ),
inference(avatar_contradiction_clause,[],[f5432]) ).
fof(f5432,plain,
( $false
| ~ spl144_201
| ~ spl144_202 ),
inference(subsumption_resolution,[],[f5428,f381]) ).
fof(f381,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f5428,plain,
( e22 = e23
| ~ spl144_201
| ~ spl144_202 ),
inference(superposition,[],[f2089,f2095]) ).
fof(f2089,plain,
( op2(e20,e20) = e23
| ~ spl144_201 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2087,plain,
( spl144_201
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_201])]) ).
fof(f5401,plain,
( ~ spl144_182
| ~ spl144_187 ),
inference(avatar_contradiction_clause,[],[f5400]) ).
fof(f5400,plain,
( $false
| ~ spl144_182
| ~ spl144_187 ),
inference(subsumption_resolution,[],[f5395,f376]) ).
fof(f376,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f5395,plain,
( e20 = e21
| ~ spl144_182
| ~ spl144_187 ),
inference(superposition,[],[f2002,f2024]) ).
fof(f2002,plain,
( e21 = op2(e22,e20)
| ~ spl144_182 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f2000,plain,
( spl144_182
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_182])]) ).
fof(f5392,plain,
( ~ spl144_169
| ~ spl144_184 ),
inference(avatar_contradiction_clause,[],[f5391]) ).
fof(f5391,plain,
( $false
| ~ spl144_169
| ~ spl144_184 ),
inference(subsumption_resolution,[],[f5387,f378]) ).
fof(f378,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f5387,plain,
( e20 = e23
| ~ spl144_169
| ~ spl144_184 ),
inference(superposition,[],[f1945,f2011]) ).
fof(f2011,plain,
( e20 = op2(e20,e22)
| ~ spl144_184 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f2009,plain,
( spl144_184
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_184])]) ).
fof(f1945,plain,
( e23 = op2(e20,e22)
| ~ spl144_169 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f1943,plain,
( spl144_169
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_169])]) ).
fof(f5383,plain,
( ~ spl144_173
| ~ spl144_183 ),
inference(avatar_contradiction_clause,[],[f5382]) ).
fof(f5382,plain,
( $false
| ~ spl144_173
| ~ spl144_183 ),
inference(subsumption_resolution,[],[f5378,f380]) ).
fof(f380,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f5378,plain,
( e21 = e23
| ~ spl144_173
| ~ spl144_183 ),
inference(superposition,[],[f1962,f2006]) ).
fof(f2006,plain,
( e21 = op2(e22,e21)
| ~ spl144_183 ),
inference(avatar_component_clause,[],[f2004]) ).
fof(f2004,plain,
( spl144_183
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_183])]) ).
fof(f5342,plain,
( ~ spl144_194
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f5248,f2049,f2054]) ).
fof(f2054,plain,
( spl144_194
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_194])]) ).
fof(f5248,plain,
( e22 != op2(e21,e20)
| ~ spl144_193 ),
inference(forward_demodulation,[],[f498,f2051]) ).
fof(f498,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5333,plain,
( ~ spl144_176
| ~ spl144_181 ),
inference(avatar_contradiction_clause,[],[f5332]) ).
fof(f5332,plain,
( $false
| ~ spl144_176
| ~ spl144_181 ),
inference(subsumption_resolution,[],[f5327,f379]) ).
fof(f5327,plain,
( e21 = e22
| ~ spl144_176
| ~ spl144_181 ),
inference(superposition,[],[f1975,f1997]) ).
fof(f1975,plain,
( e22 = op2(e22,e22)
| ~ spl144_176 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f1973,plain,
( spl144_176
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_176])]) ).
fof(f5282,plain,
( ~ spl144_173
| ~ spl144_143 ),
inference(avatar_split_clause,[],[f5260,f1831,f1960]) ).
fof(f1831,plain,
( spl144_143
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_143])]) ).
fof(f5260,plain,
( e23 != op2(e22,e21)
| ~ spl144_143 ),
inference(forward_demodulation,[],[f508,f1833]) ).
fof(f1833,plain,
( e23 = op2(e22,e23)
| ~ spl144_143 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f508,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5281,plain,
( spl144_173
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f5269,f2049,f1960]) ).
fof(f5269,plain,
( e23 = op2(e22,e21)
| ~ spl144_193 ),
inference(forward_demodulation,[],[f518,f2051]) ).
fof(f518,plain,
e23 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f5280,plain,
( ~ spl144_145
| ~ spl144_201 ),
inference(avatar_split_clause,[],[f5279,f2087,f1840]) ).
fof(f1840,plain,
( spl144_145
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_145])]) ).
fof(f5279,plain,
( e23 != op2(e23,e20)
| ~ spl144_201 ),
inference(forward_demodulation,[],[f470,f2089]) ).
fof(f5273,plain,
( ~ spl144_153
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f5272,f2049,f1874]) ).
fof(f1874,plain,
( spl144_153
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_153])]) ).
fof(f5272,plain,
( e22 != op2(e23,e21)
| ~ spl144_193 ),
inference(forward_demodulation,[],[f478,f2051]) ).
fof(f478,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5158,plain,
( spl144_33
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f5157,f2049,f1348]) ).
fof(f5157,plain,
( e22 = h2(e12)
| ~ spl144_193 ),
inference(forward_demodulation,[],[f418,f2051]) ).
fof(f418,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f5119,plain,
( ~ spl144_234
| ~ spl144_244 ),
inference(avatar_contradiction_clause,[],[f5118]) ).
fof(f5118,plain,
( $false
| ~ spl144_234
| ~ spl144_244 ),
inference(subsumption_resolution,[],[f5114,f402]) ).
fof(f402,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f5114,plain,
( e11 = e13
| ~ spl144_234
| ~ spl144_244 ),
inference(superposition,[],[f2253,f2297]) ).
fof(f2297,plain,
( e11 = op1(e11,e12)
| ~ spl144_244 ),
inference(avatar_component_clause,[],[f2295]) ).
fof(f2253,plain,
( e13 = op1(e11,e12)
| ~ spl144_234 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2251,plain,
( spl144_234
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_234])]) ).
fof(f5091,plain,
( ~ spl144_212
| ~ spl144_219 ),
inference(avatar_contradiction_clause,[],[f5090]) ).
fof(f5090,plain,
( $false
| ~ spl144_212
| ~ spl144_219 ),
inference(subsumption_resolution,[],[f5086,f401]) ).
fof(f401,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5086,plain,
( e11 = e12
| ~ spl144_212
| ~ spl144_219 ),
inference(superposition,[],[f2159,f2189]) ).
fof(f2159,plain,
( e12 = op1(e10,e13)
| ~ spl144_212 ),
inference(avatar_component_clause,[],[f2157]) ).
fof(f2157,plain,
( spl144_212
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_212])]) ).
fof(f5078,plain,
( ~ spl144_205
| ~ spl144_226 ),
inference(avatar_contradiction_clause,[],[f5077]) ).
fof(f5077,plain,
( $false
| ~ spl144_205
| ~ spl144_226 ),
inference(subsumption_resolution,[],[f5076,f400]) ).
fof(f5076,plain,
( e10 = e13
| ~ spl144_205
| ~ spl144_226 ),
inference(forward_demodulation,[],[f2129,f2219]) ).
fof(f2219,plain,
( e10 = op1(e10,e13)
| ~ spl144_226 ),
inference(avatar_component_clause,[],[f2217]) ).
fof(f2217,plain,
( spl144_226
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_226])]) ).
fof(f5069,plain,
( ~ spl144_265
| ~ spl144_267 ),
inference(avatar_contradiction_clause,[],[f5068]) ).
fof(f5068,plain,
( $false
| ~ spl144_265
| ~ spl144_267 ),
inference(subsumption_resolution,[],[f5065,f402]) ).
fof(f5065,plain,
( e11 = e13
| ~ spl144_265
| ~ spl144_267 ),
inference(superposition,[],[f2393,f2405]) ).
fof(f2393,plain,
( op1(e10,e10) = e13
| ~ spl144_265 ),
inference(avatar_component_clause,[],[f2391]) ).
fof(f2391,plain,
( spl144_265
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_265])]) ).
fof(f5056,plain,
( ~ spl144_241
| ~ spl144_246 ),
inference(avatar_contradiction_clause,[],[f5055]) ).
fof(f5055,plain,
( $false
| ~ spl144_241
| ~ spl144_246 ),
inference(subsumption_resolution,[],[f5051,f401]) ).
fof(f5051,plain,
( e11 = e12
| ~ spl144_241
| ~ spl144_246 ),
inference(superposition,[],[f2284,f2306]) ).
fof(f2284,plain,
( e12 = op1(e12,e10)
| ~ spl144_241 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f2282,plain,
( spl144_241
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_241])]) ).
fof(f5036,plain,
( ~ spl144_215
| ~ spl144_229 ),
inference(avatar_contradiction_clause,[],[f5035]) ).
fof(f5035,plain,
( $false
| ~ spl144_215
| ~ spl144_229 ),
inference(subsumption_resolution,[],[f5034,f399]) ).
fof(f399,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5034,plain,
( e10 = e12
| ~ spl144_215
| ~ spl144_229 ),
inference(forward_demodulation,[],[f2171,f2231]) ).
fof(f2171,plain,
( e12 = op1(e13,e13)
| ~ spl144_215 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f2169,plain,
( spl144_215
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_215])]) ).
fof(f5032,plain,
( ~ spl144_219
| ~ spl144_226 ),
inference(avatar_contradiction_clause,[],[f5031]) ).
fof(f5031,plain,
( $false
| ~ spl144_219
| ~ spl144_226 ),
inference(subsumption_resolution,[],[f5026,f398]) ).
fof(f5026,plain,
( e10 = e11
| ~ spl144_219
| ~ spl144_226 ),
inference(superposition,[],[f2189,f2219]) ).
fof(f5018,plain,
( ~ spl144_265
| ~ spl144_268 ),
inference(avatar_contradiction_clause,[],[f5017]) ).
fof(f5017,plain,
( $false
| ~ spl144_265
| ~ spl144_268 ),
inference(subsumption_resolution,[],[f5016,f400]) ).
fof(f5016,plain,
( e10 = e13
| ~ spl144_265
| ~ spl144_268 ),
inference(forward_demodulation,[],[f2393,f2411]) ).
fof(f2411,plain,
( e10 = op1(e10,e10)
| ~ spl144_268 ),
inference(avatar_component_clause,[],[f2409]) ).
fof(f2409,plain,
( spl144_268
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_268])]) ).
fof(f5014,plain,
( ~ spl144_267
| ~ spl144_268 ),
inference(avatar_contradiction_clause,[],[f5013]) ).
fof(f5013,plain,
( $false
| ~ spl144_267
| ~ spl144_268 ),
inference(subsumption_resolution,[],[f5012,f398]) ).
fof(f5012,plain,
( e10 = e11
| ~ spl144_267
| ~ spl144_268 ),
inference(forward_demodulation,[],[f2405,f2411]) ).
fof(f5011,plain,
( ~ spl144_266
| ~ spl144_268 ),
inference(avatar_contradiction_clause,[],[f5010]) ).
fof(f5010,plain,
( $false
| ~ spl144_266
| ~ spl144_268 ),
inference(subsumption_resolution,[],[f5007,f399]) ).
fof(f5007,plain,
( e10 = e12
| ~ spl144_266
| ~ spl144_268 ),
inference(superposition,[],[f2399,f2411]) ).
fof(f2399,plain,
( op1(e10,e10) = e12
| ~ spl144_266 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f5003,plain,
( ~ spl144_266
| ~ spl144_267 ),
inference(avatar_contradiction_clause,[],[f5002]) ).
fof(f5002,plain,
( $false
| ~ spl144_266
| ~ spl144_267 ),
inference(subsumption_resolution,[],[f4999,f401]) ).
fof(f4999,plain,
( e11 = e12
| ~ spl144_266
| ~ spl144_267 ),
inference(superposition,[],[f2399,f2405]) ).
fof(f4996,plain,
( ~ spl144_265
| ~ spl144_266 ),
inference(avatar_contradiction_clause,[],[f4995]) ).
fof(f4995,plain,
( $false
| ~ spl144_265
| ~ spl144_266 ),
inference(subsumption_resolution,[],[f4992,f403]) ).
fof(f403,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4992,plain,
( e12 = e13
| ~ spl144_265
| ~ spl144_266 ),
inference(superposition,[],[f2393,f2399]) ).
fof(f4989,plain,
( ~ spl144_261
| ~ spl144_264 ),
inference(avatar_contradiction_clause,[],[f4988]) ).
fof(f4988,plain,
( $false
| ~ spl144_261
| ~ spl144_264 ),
inference(subsumption_resolution,[],[f4984,f398]) ).
fof(f4984,plain,
( e10 = e11
| ~ spl144_261
| ~ spl144_264 ),
inference(superposition,[],[f2374,f2388]) ).
fof(f2374,plain,
( e11 = op1(e11,e10)
| ~ spl144_261 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f4959,plain,
( ~ spl144_235
| ~ spl144_240 ),
inference(avatar_contradiction_clause,[],[f4958]) ).
fof(f4958,plain,
( $false
| ~ spl144_235
| ~ spl144_240 ),
inference(subsumption_resolution,[],[f4957,f403]) ).
fof(f4957,plain,
( e12 = e13
| ~ spl144_235
| ~ spl144_240 ),
inference(forward_demodulation,[],[f2257,f2279]) ).
fof(f2279,plain,
( e12 = op1(e12,e12)
| ~ spl144_240 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f2277,plain,
( spl144_240
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_240])]) ).
fof(f2257,plain,
( e13 = op1(e12,e12)
| ~ spl144_235 ),
inference(avatar_component_clause,[],[f2255]) ).
fof(f2255,plain,
( spl144_235
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_235])]) ).
fof(f4955,plain,
( ~ spl144_240
| spl144_353 ),
inference(avatar_contradiction_clause,[],[f4954]) ).
fof(f4954,plain,
( $false
| ~ spl144_240
| spl144_353 ),
inference(subsumption_resolution,[],[f4953,f2279]) ).
fof(f4953,plain,
( e12 != op1(e12,e12)
| ~ spl144_240
| spl144_353 ),
inference(forward_demodulation,[],[f3056,f2279]) ).
fof(f3056,plain,
( e12 != op1(e12,op1(e12,e12))
| spl144_353 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f3055,plain,
( spl144_353
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_353])]) ).
fof(f4952,plain,
( ~ spl144_214
| ~ spl144_221 ),
inference(avatar_contradiction_clause,[],[f4951]) ).
fof(f4951,plain,
( $false
| ~ spl144_214
| ~ spl144_221 ),
inference(subsumption_resolution,[],[f4950,f401]) ).
fof(f4950,plain,
( e11 = e12
| ~ spl144_214
| ~ spl144_221 ),
inference(forward_demodulation,[],[f2167,f2197]) ).
fof(f2197,plain,
( e11 = op1(e12,e13)
| ~ spl144_221 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f4948,plain,
( ~ spl144_234
| ~ spl144_249 ),
inference(avatar_contradiction_clause,[],[f4947]) ).
fof(f4947,plain,
( $false
| ~ spl144_234
| ~ spl144_249 ),
inference(subsumption_resolution,[],[f4946,f400]) ).
fof(f4946,plain,
( e10 = e13
| ~ spl144_234
| ~ spl144_249 ),
inference(forward_demodulation,[],[f2253,f2319]) ).
fof(f4944,plain,
( ~ spl144_255
| ~ spl144_261 ),
inference(avatar_contradiction_clause,[],[f4943]) ).
fof(f4943,plain,
( $false
| ~ spl144_255
| ~ spl144_261 ),
inference(subsumption_resolution,[],[f4939,f402]) ).
fof(f4939,plain,
( e11 = e13
| ~ spl144_255
| ~ spl144_261 ),
inference(superposition,[],[f2346,f2374]) ).
fof(f4930,plain,
( ~ spl144_238
| ~ spl144_243 ),
inference(avatar_contradiction_clause,[],[f4929]) ).
fof(f4929,plain,
( $false
| ~ spl144_238
| ~ spl144_243 ),
inference(subsumption_resolution,[],[f4924,f401]) ).
fof(f4924,plain,
( e11 = e12
| ~ spl144_238
| ~ spl144_243 ),
inference(superposition,[],[f2271,f2293]) ).
fof(f2293,plain,
( e11 = op1(e10,e12)
| ~ spl144_243 ),
inference(avatar_component_clause,[],[f2291]) ).
fof(f2291,plain,
( spl144_243
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_243])]) ).
fof(f4920,plain,
( ~ spl144_240
| ~ spl144_250 ),
inference(avatar_contradiction_clause,[],[f4919]) ).
fof(f4919,plain,
( $false
| ~ spl144_240
| ~ spl144_250 ),
inference(subsumption_resolution,[],[f4918,f399]) ).
fof(f4918,plain,
( e10 = e12
| ~ spl144_240
| ~ spl144_250 ),
inference(forward_demodulation,[],[f2279,f2323]) ).
fof(f2323,plain,
( e10 = op1(e12,e12)
| ~ spl144_250 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f2321,plain,
( spl144_250
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_250])]) ).
fof(f4903,plain,
( ~ spl144_244
| ~ spl144_249 ),
inference(avatar_contradiction_clause,[],[f4902]) ).
fof(f4902,plain,
( $false
| ~ spl144_244
| ~ spl144_249 ),
inference(subsumption_resolution,[],[f4898,f398]) ).
fof(f4898,plain,
( e10 = e11
| ~ spl144_244
| ~ spl144_249 ),
inference(superposition,[],[f2297,f2319]) ).
fof(f4888,plain,
( ~ spl144_210
| ~ spl144_224 ),
inference(avatar_contradiction_clause,[],[f4887]) ).
fof(f4887,plain,
( $false
| ~ spl144_210
| ~ spl144_224 ),
inference(subsumption_resolution,[],[f4883,f402]) ).
fof(f4883,plain,
( e11 = e13
| ~ spl144_210
| ~ spl144_224 ),
inference(superposition,[],[f2150,f2210]) ).
fof(f2150,plain,
( e13 = op1(e13,e11)
| ~ spl144_210 ),
inference(avatar_component_clause,[],[f2148]) ).
fof(f2148,plain,
( spl144_210
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_210])]) ).
fof(f4879,plain,
( ~ spl144_216
| ~ spl144_223 ),
inference(avatar_contradiction_clause,[],[f4878]) ).
fof(f4878,plain,
( $false
| ~ spl144_216
| ~ spl144_223 ),
inference(subsumption_resolution,[],[f4874,f401]) ).
fof(f4874,plain,
( e11 = e12
| ~ spl144_216
| ~ spl144_223 ),
inference(superposition,[],[f2176,f2206]) ).
fof(f2206,plain,
( e11 = op1(e13,e10)
| ~ spl144_223 ),
inference(avatar_component_clause,[],[f2204]) ).
fof(f2204,plain,
( spl144_223
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_223])]) ).
fof(f4869,plain,
( ~ spl144_221
| ~ spl144_228 ),
inference(avatar_contradiction_clause,[],[f4868]) ).
fof(f4868,plain,
( $false
| ~ spl144_221
| ~ spl144_228 ),
inference(subsumption_resolution,[],[f4867,f398]) ).
fof(f4867,plain,
( e10 = e11
| ~ spl144_221
| ~ spl144_228 ),
inference(forward_demodulation,[],[f2197,f2227]) ).
fof(f2227,plain,
( e10 = op1(e12,e13)
| ~ spl144_228 ),
inference(avatar_component_clause,[],[f2225]) ).
fof(f2225,plain,
( spl144_228
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_228])]) ).
fof(f4866,plain,
( ~ spl144_205
| ~ spl144_219 ),
inference(avatar_contradiction_clause,[],[f4865]) ).
fof(f4865,plain,
( $false
| ~ spl144_205
| ~ spl144_219 ),
inference(subsumption_resolution,[],[f4862,f402]) ).
fof(f4862,plain,
( e11 = e13
| ~ spl144_205
| ~ spl144_219 ),
inference(superposition,[],[f2129,f2189]) ).
fof(f4826,plain,
( ~ spl144_220
| ~ spl144_227 ),
inference(avatar_contradiction_clause,[],[f4825]) ).
fof(f4825,plain,
( $false
| ~ spl144_220
| ~ spl144_227 ),
inference(subsumption_resolution,[],[f4820,f398]) ).
fof(f4820,plain,
( e10 = e11
| ~ spl144_220
| ~ spl144_227 ),
inference(superposition,[],[f2193,f2223]) ).
fof(f2223,plain,
( e10 = op1(e11,e13)
| ~ spl144_227 ),
inference(avatar_component_clause,[],[f2221]) ).
fof(f2221,plain,
( spl144_227
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_227])]) ).
fof(f4811,plain,
( ~ spl144_209
| ~ spl144_216 ),
inference(avatar_contradiction_clause,[],[f4810]) ).
fof(f4810,plain,
( $false
| ~ spl144_209
| ~ spl144_216 ),
inference(subsumption_resolution,[],[f4806,f403]) ).
fof(f4806,plain,
( e12 = e13
| ~ spl144_209
| ~ spl144_216 ),
inference(superposition,[],[f2146,f2176]) ).
fof(f2146,plain,
( e13 = op1(e13,e10)
| ~ spl144_209 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f2144,plain,
( spl144_209
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_209])]) ).
fof(f4798,plain,
( spl144_242
| ~ spl144_245
| ~ spl144_353 ),
inference(avatar_split_clause,[],[f4797,f3055,f2299,f2286]) ).
fof(f4797,plain,
( e12 = op1(e12,e11)
| ~ spl144_245
| ~ spl144_353 ),
inference(forward_demodulation,[],[f3057,f2301]) ).
fof(f3057,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl144_353 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f4796,plain,
( spl144_212
| ~ spl144_233
| ~ spl144_363 ),
inference(avatar_split_clause,[],[f4788,f3109,f2247,f2157]) ).
fof(f3109,plain,
( spl144_363
<=> e12 = op1(e10,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_363])]) ).
fof(f4788,plain,
( e12 = op1(e10,e13)
| ~ spl144_233
| ~ spl144_363 ),
inference(forward_demodulation,[],[f3111,f2249]) ).
fof(f2249,plain,
( e13 = op1(e10,e12)
| ~ spl144_233 ),
inference(avatar_component_clause,[],[f2247]) ).
fof(f3111,plain,
( e12 = op1(e10,op1(e10,e12))
| ~ spl144_363 ),
inference(avatar_component_clause,[],[f3109]) ).
fof(f4795,plain,
( ~ spl144_210
| ~ spl144_231 ),
inference(avatar_contradiction_clause,[],[f4794]) ).
fof(f4794,plain,
( $false
| ~ spl144_210
| ~ spl144_231 ),
inference(subsumption_resolution,[],[f4793,f400]) ).
fof(f4793,plain,
( e10 = e13
| ~ spl144_210
| ~ spl144_231 ),
inference(forward_demodulation,[],[f2150,f2240]) ).
fof(f2240,plain,
( e10 = op1(e13,e11)
| ~ spl144_231 ),
inference(avatar_component_clause,[],[f2238]) ).
fof(f2238,plain,
( spl144_231
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_231])]) ).
fof(f4776,plain,
( ~ spl144_257
| ~ spl144_263 ),
inference(avatar_contradiction_clause,[],[f4775]) ).
fof(f4775,plain,
( $false
| ~ spl144_257
| ~ spl144_263 ),
inference(subsumption_resolution,[],[f4772,f399]) ).
fof(f4772,plain,
( e10 = e12
| ~ spl144_257
| ~ spl144_263 ),
inference(superposition,[],[f2355,f2383]) ).
fof(f2383,plain,
( e10 = op1(e11,e11)
| ~ spl144_263 ),
inference(avatar_component_clause,[],[f2381]) ).
fof(f2381,plain,
( spl144_263
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_263])]) ).
fof(f4744,plain,
( ~ spl144_209
| ~ spl144_223 ),
inference(avatar_contradiction_clause,[],[f4743]) ).
fof(f4743,plain,
( $false
| ~ spl144_209
| ~ spl144_223 ),
inference(subsumption_resolution,[],[f4740,f402]) ).
fof(f4740,plain,
( e11 = e13
| ~ spl144_209
| ~ spl144_223 ),
inference(superposition,[],[f2146,f2206]) ).
fof(f4702,plain,
( ~ spl144_236
| ~ spl144_241 ),
inference(avatar_contradiction_clause,[],[f4701]) ).
fof(f4701,plain,
( $false
| ~ spl144_236
| ~ spl144_241 ),
inference(subsumption_resolution,[],[f4700,f403]) ).
fof(f4700,plain,
( e12 = e13
| ~ spl144_236
| ~ spl144_241 ),
inference(forward_demodulation,[],[f2262,f2284]) ).
fof(f2262,plain,
( e13 = op1(e12,e10)
| ~ spl144_236 ),
inference(avatar_component_clause,[],[f2260]) ).
fof(f2260,plain,
( spl144_236
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_236])]) ).
fof(f4696,plain,
( ~ spl144_259
| ~ spl144_262 ),
inference(avatar_contradiction_clause,[],[f4695]) ).
fof(f4695,plain,
( $false
| ~ spl144_259
| ~ spl144_262 ),
inference(subsumption_resolution,[],[f4690,f398]) ).
fof(f4690,plain,
( e10 = e11
| ~ spl144_259
| ~ spl144_262 ),
inference(superposition,[],[f2365,f2379]) ).
fof(f2365,plain,
( e11 = op1(e10,e11)
| ~ spl144_259 ),
inference(avatar_component_clause,[],[f2363]) ).
fof(f2363,plain,
( spl144_259
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_259])]) ).
fof(f4684,plain,
( ~ spl144_237
| ~ spl144_247 ),
inference(avatar_contradiction_clause,[],[f4683]) ).
fof(f4683,plain,
( $false
| ~ spl144_237
| ~ spl144_247 ),
inference(subsumption_resolution,[],[f4679,f402]) ).
fof(f4679,plain,
( e11 = e13
| ~ spl144_237
| ~ spl144_247 ),
inference(superposition,[],[f2266,f2310]) ).
fof(f2310,plain,
( e11 = op1(e12,e11)
| ~ spl144_247 ),
inference(avatar_component_clause,[],[f2308]) ).
fof(f2308,plain,
( spl144_247
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_247])]) ).
fof(f4672,plain,
( ~ spl144_206
| ~ spl144_213 ),
inference(avatar_contradiction_clause,[],[f4671]) ).
fof(f4671,plain,
( $false
| ~ spl144_206
| ~ spl144_213 ),
inference(subsumption_resolution,[],[f4667,f403]) ).
fof(f4667,plain,
( e12 = e13
| ~ spl144_206
| ~ spl144_213 ),
inference(superposition,[],[f2133,f2163]) ).
fof(f2163,plain,
( e12 = op1(e11,e13)
| ~ spl144_213 ),
inference(avatar_component_clause,[],[f2161]) ).
fof(f2161,plain,
( spl144_213
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_213])]) ).
fof(f2133,plain,
( e13 = op1(e11,e13)
| ~ spl144_206 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f2131,plain,
( spl144_206
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_206])]) ).
fof(f4662,plain,
( ~ spl144_213
| ~ spl144_220 ),
inference(avatar_contradiction_clause,[],[f4661]) ).
fof(f4661,plain,
( $false
| ~ spl144_213
| ~ spl144_220 ),
inference(subsumption_resolution,[],[f4660,f401]) ).
fof(f4660,plain,
( e11 = e12
| ~ spl144_213
| ~ spl144_220 ),
inference(forward_demodulation,[],[f2163,f2193]) ).
fof(f4655,plain,
( ~ spl144_205
| ~ spl144_212 ),
inference(avatar_contradiction_clause,[],[f4654]) ).
fof(f4654,plain,
( $false
| ~ spl144_205
| ~ spl144_212 ),
inference(subsumption_resolution,[],[f4653,f403]) ).
fof(f4653,plain,
( e12 = e13
| ~ spl144_205
| ~ spl144_212 ),
inference(forward_demodulation,[],[f2129,f2159]) ).
fof(f4648,plain,
( ~ spl144_206
| ~ spl144_220 ),
inference(avatar_contradiction_clause,[],[f4647]) ).
fof(f4647,plain,
( $false
| ~ spl144_206
| ~ spl144_220 ),
inference(subsumption_resolution,[],[f4644,f402]) ).
fof(f4644,plain,
( e11 = e13
| ~ spl144_206
| ~ spl144_220 ),
inference(superposition,[],[f2133,f2193]) ).
fof(f4624,plain,
( ~ spl144_241
| ~ spl144_251 ),
inference(avatar_contradiction_clause,[],[f4623]) ).
fof(f4623,plain,
( $false
| ~ spl144_241
| ~ spl144_251 ),
inference(subsumption_resolution,[],[f4622,f399]) ).
fof(f4622,plain,
( e10 = e12
| ~ spl144_241
| ~ spl144_251 ),
inference(forward_demodulation,[],[f2284,f2328]) ).
fof(f4621,plain,
( ~ spl144_257
| ~ spl144_260 ),
inference(avatar_contradiction_clause,[],[f4620]) ).
fof(f4620,plain,
( $false
| ~ spl144_257
| ~ spl144_260 ),
inference(subsumption_resolution,[],[f4617,f401]) ).
fof(f4617,plain,
( e11 = e12
| ~ spl144_257
| ~ spl144_260 ),
inference(superposition,[],[f2355,f2369]) ).
fof(f2369,plain,
( e11 = op1(e11,e11)
| ~ spl144_260 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f2367,plain,
( spl144_260
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_260])]) ).
fof(f4612,plain,
( ~ spl144_212
| ~ spl144_226 ),
inference(avatar_contradiction_clause,[],[f4611]) ).
fof(f4611,plain,
( $false
| ~ spl144_212
| ~ spl144_226 ),
inference(subsumption_resolution,[],[f4610,f399]) ).
fof(f4610,plain,
( e10 = e12
| ~ spl144_212
| ~ spl144_226 ),
inference(forward_demodulation,[],[f2159,f2219]) ).
fof(f4608,plain,
( ~ spl144_238
| ~ spl144_248 ),
inference(avatar_contradiction_clause,[],[f4607]) ).
fof(f4607,plain,
( $false
| ~ spl144_238
| ~ spl144_248 ),
inference(subsumption_resolution,[],[f4606,f399]) ).
fof(f4606,plain,
( e10 = e12
| ~ spl144_238
| ~ spl144_248 ),
inference(forward_demodulation,[],[f2271,f2315]) ).
fof(f2315,plain,
( e10 = op1(e10,e12)
| ~ spl144_248 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f2313,plain,
( spl144_248
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_248])]) ).
fof(f4595,plain,
( ~ spl144_236
| ~ spl144_251 ),
inference(avatar_contradiction_clause,[],[f4594]) ).
fof(f4594,plain,
( $false
| ~ spl144_236
| ~ spl144_251 ),
inference(subsumption_resolution,[],[f4591,f400]) ).
fof(f4591,plain,
( e10 = e13
| ~ spl144_236
| ~ spl144_251 ),
inference(superposition,[],[f2262,f2328]) ).
fof(f4587,plain,
( ~ spl144_237
| ~ spl144_252 ),
inference(avatar_contradiction_clause,[],[f4586]) ).
fof(f4586,plain,
( $false
| ~ spl144_237
| ~ spl144_252 ),
inference(subsumption_resolution,[],[f4585,f400]) ).
fof(f4585,plain,
( e10 = e13
| ~ spl144_237
| ~ spl144_252 ),
inference(forward_demodulation,[],[f2266,f2332]) ).
fof(f2332,plain,
( e10 = op1(e12,e11)
| ~ spl144_252 ),
inference(avatar_component_clause,[],[f2330]) ).
fof(f2330,plain,
( spl144_252
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_252])]) ).
fof(f4583,plain,
( ~ spl144_254
| ~ spl144_257 ),
inference(avatar_contradiction_clause,[],[f4582]) ).
fof(f4582,plain,
( $false
| ~ spl144_254
| ~ spl144_257 ),
inference(subsumption_resolution,[],[f4579,f403]) ).
fof(f4579,plain,
( e12 = e13
| ~ spl144_254
| ~ spl144_257 ),
inference(superposition,[],[f2341,f2355]) ).
fof(f2341,plain,
( e13 = op1(e11,e11)
| ~ spl144_254 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f2339,plain,
( spl144_254
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_254])]) ).
fof(f4567,plain,
( ~ spl144_245
| ~ spl144_250 ),
inference(avatar_contradiction_clause,[],[f4566]) ).
fof(f4566,plain,
( $false
| ~ spl144_245
| ~ spl144_250 ),
inference(subsumption_resolution,[],[f4561,f398]) ).
fof(f4561,plain,
( e10 = e11
| ~ spl144_245
| ~ spl144_250 ),
inference(superposition,[],[f2301,f2323]) ).
fof(f4558,plain,
( ~ spl144_236
| ~ spl144_246 ),
inference(avatar_contradiction_clause,[],[f4557]) ).
fof(f4557,plain,
( $false
| ~ spl144_236
| ~ spl144_246 ),
inference(subsumption_resolution,[],[f4554,f402]) ).
fof(f4554,plain,
( e11 = e13
| ~ spl144_236
| ~ spl144_246 ),
inference(superposition,[],[f2262,f2306]) ).
fof(f4543,plain,
( ~ spl144_243
| ~ spl144_248 ),
inference(avatar_contradiction_clause,[],[f4542]) ).
fof(f4542,plain,
( $false
| ~ spl144_243
| ~ spl144_248 ),
inference(subsumption_resolution,[],[f4541,f398]) ).
fof(f4541,plain,
( e10 = e11
| ~ spl144_243
| ~ spl144_248 ),
inference(forward_demodulation,[],[f2293,f2315]) ).
fof(f4540,plain,
( ~ spl144_218
| ~ spl144_225 ),
inference(avatar_contradiction_clause,[],[f4539]) ).
fof(f4539,plain,
( $false
| ~ spl144_218
| ~ spl144_225 ),
inference(subsumption_resolution,[],[f4535,f401]) ).
fof(f4535,plain,
( e11 = e12
| ~ spl144_218
| ~ spl144_225 ),
inference(superposition,[],[f2184,f2214]) ).
fof(f2214,plain,
( e11 = op1(e13,e12)
| ~ spl144_225 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2212,plain,
( spl144_225
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_225])]) ).
fof(f2184,plain,
( e12 = op1(e13,e12)
| ~ spl144_218 ),
inference(avatar_component_clause,[],[f2182]) ).
fof(f2182,plain,
( spl144_218
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_218])]) ).
fof(f4531,plain,
( ~ spl144_233
| ~ spl144_248 ),
inference(avatar_contradiction_clause,[],[f4530]) ).
fof(f4530,plain,
( $false
| ~ spl144_233
| ~ spl144_248 ),
inference(subsumption_resolution,[],[f4527,f400]) ).
fof(f4527,plain,
( e10 = e13
| ~ spl144_233
| ~ spl144_248 ),
inference(superposition,[],[f2249,f2315]) ).
fof(f4523,plain,
( ~ spl144_233
| ~ spl144_238 ),
inference(avatar_contradiction_clause,[],[f4522]) ).
fof(f4522,plain,
( $false
| ~ spl144_233
| ~ spl144_238 ),
inference(subsumption_resolution,[],[f4521,f403]) ).
fof(f4521,plain,
( e12 = e13
| ~ spl144_233
| ~ spl144_238 ),
inference(forward_demodulation,[],[f2249,f2271]) ).
fof(f4519,plain,
( ~ spl144_235
| ~ spl144_245 ),
inference(avatar_contradiction_clause,[],[f4518]) ).
fof(f4518,plain,
( $false
| ~ spl144_235
| ~ spl144_245 ),
inference(subsumption_resolution,[],[f4515,f402]) ).
fof(f4515,plain,
( e11 = e13
| ~ spl144_235
| ~ spl144_245 ),
inference(superposition,[],[f2257,f2301]) ).
fof(f4493,plain,
( ~ spl144_209
| ~ spl144_230 ),
inference(avatar_contradiction_clause,[],[f4492]) ).
fof(f4492,plain,
( $false
| ~ spl144_209
| ~ spl144_230 ),
inference(subsumption_resolution,[],[f4491,f400]) ).
fof(f4491,plain,
( e10 = e13
| ~ spl144_209
| ~ spl144_230 ),
inference(forward_demodulation,[],[f2146,f2236]) ).
fof(f2236,plain,
( e10 = op1(e13,e10)
| ~ spl144_230 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f2234,plain,
( spl144_230
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_230])]) ).
fof(f4489,plain,
( ~ spl144_211
| ~ spl144_232 ),
inference(avatar_contradiction_clause,[],[f4488]) ).
fof(f4488,plain,
( $false
| ~ spl144_211
| ~ spl144_232 ),
inference(subsumption_resolution,[],[f4485,f400]) ).
fof(f4485,plain,
( e10 = e13
| ~ spl144_211
| ~ spl144_232 ),
inference(superposition,[],[f2154,f2244]) ).
fof(f2244,plain,
( e10 = op1(e13,e12)
| ~ spl144_232 ),
inference(avatar_component_clause,[],[f2242]) ).
fof(f2242,plain,
( spl144_232
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_232])]) ).
fof(f4477,plain,
( ~ spl144_211
| ~ spl144_218 ),
inference(avatar_contradiction_clause,[],[f4476]) ).
fof(f4476,plain,
( $false
| ~ spl144_211
| ~ spl144_218 ),
inference(subsumption_resolution,[],[f4473,f403]) ).
fof(f4473,plain,
( e12 = e13
| ~ spl144_211
| ~ spl144_218 ),
inference(superposition,[],[f2154,f2184]) ).
fof(f4452,plain,
( ~ spl144_222
| ~ spl144_229 ),
inference(avatar_contradiction_clause,[],[f4451]) ).
fof(f4451,plain,
( $false
| ~ spl144_222
| ~ spl144_229 ),
inference(subsumption_resolution,[],[f4447,f398]) ).
fof(f4447,plain,
( e10 = e11
| ~ spl144_222
| ~ spl144_229 ),
inference(superposition,[],[f2201,f2231]) ).
fof(f2201,plain,
( e11 = op1(e13,e13)
| ~ spl144_222 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f2199,plain,
( spl144_222
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_222])]) ).
fof(f4444,plain,
( ~ spl144_214
| ~ spl144_228 ),
inference(avatar_contradiction_clause,[],[f4443]) ).
fof(f4443,plain,
( $false
| ~ spl144_214
| ~ spl144_228 ),
inference(subsumption_resolution,[],[f4438,f399]) ).
fof(f4438,plain,
( e10 = e12
| ~ spl144_214
| ~ spl144_228 ),
inference(superposition,[],[f2167,f2227]) ).
fof(f4431,plain,
( ~ spl144_206
| ~ spl144_227 ),
inference(avatar_contradiction_clause,[],[f4430]) ).
fof(f4430,plain,
( $false
| ~ spl144_206
| ~ spl144_227 ),
inference(subsumption_resolution,[],[f4429,f400]) ).
fof(f4429,plain,
( e10 = e13
| ~ spl144_206
| ~ spl144_227 ),
inference(forward_demodulation,[],[f2133,f2223]) ).
fof(f4427,plain,
( ~ spl144_213
| ~ spl144_227 ),
inference(avatar_contradiction_clause,[],[f4426]) ).
fof(f4426,plain,
( $false
| ~ spl144_213
| ~ spl144_227 ),
inference(subsumption_resolution,[],[f4423,f399]) ).
fof(f4423,plain,
( e10 = e12
| ~ spl144_213
| ~ spl144_227 ),
inference(superposition,[],[f2163,f2223]) ).
fof(f4419,plain,
( ~ spl144_211
| ~ spl144_225 ),
inference(avatar_contradiction_clause,[],[f4418]) ).
fof(f4418,plain,
( $false
| ~ spl144_211
| ~ spl144_225 ),
inference(subsumption_resolution,[],[f4415,f402]) ).
fof(f4415,plain,
( e11 = e13
| ~ spl144_211
| ~ spl144_225 ),
inference(superposition,[],[f2154,f2214]) ).
fof(f4412,plain,
( ~ spl144_217
| ~ spl144_224 ),
inference(avatar_contradiction_clause,[],[f4411]) ).
fof(f4411,plain,
( $false
| ~ spl144_217
| ~ spl144_224 ),
inference(subsumption_resolution,[],[f4408,f401]) ).
fof(f4408,plain,
( e11 = e12
| ~ spl144_217
| ~ spl144_224 ),
inference(superposition,[],[f2180,f2210]) ).
fof(f2180,plain,
( e12 = op1(e13,e11)
| ~ spl144_217 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f2178,plain,
( spl144_217
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_217])]) ).
fof(f4382,plain,
( spl144_215
| ~ spl144_211
| ~ spl144_430 ),
inference(avatar_split_clause,[],[f4381,f3636,f2152,f2169]) ).
fof(f3636,plain,
( spl144_430
<=> e12 = op1(e13,op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_430])]) ).
fof(f4381,plain,
( e12 = op1(e13,e13)
| ~ spl144_211
| ~ spl144_430 ),
inference(forward_demodulation,[],[f3638,f2154]) ).
fof(f3638,plain,
( e12 = op1(e13,op1(e13,e12))
| ~ spl144_430 ),
inference(avatar_component_clause,[],[f3636]) ).
fof(f4343,plain,
( ~ spl144_170
| ~ spl144_185 ),
inference(avatar_contradiction_clause,[],[f4342]) ).
fof(f4342,plain,
( $false
| ~ spl144_170
| ~ spl144_185 ),
inference(subsumption_resolution,[],[f4338,f378]) ).
fof(f4338,plain,
( e20 = e23
| ~ spl144_170
| ~ spl144_185 ),
inference(superposition,[],[f1949,f2015]) ).
fof(f1949,plain,
( e23 = op2(e21,e22)
| ~ spl144_170 ),
inference(avatar_component_clause,[],[f1947]) ).
fof(f1947,plain,
( spl144_170
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_170])]) ).
fof(f4300,plain,
( ~ spl144_147
| ~ spl144_154 ),
inference(avatar_contradiction_clause,[],[f4299]) ).
fof(f4299,plain,
( $false
| ~ spl144_147
| ~ spl144_154 ),
inference(subsumption_resolution,[],[f4298,f381]) ).
fof(f4298,plain,
( e22 = e23
| ~ spl144_147
| ~ spl144_154 ),
inference(forward_demodulation,[],[f1850,f1880]) ).
fof(f1880,plain,
( e22 = op2(e23,e22)
| ~ spl144_154 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f1878,plain,
( spl144_154
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_154])]) ).
fof(f4278,plain,
( ~ spl144_144
| ~ spl144_165 ),
inference(avatar_contradiction_clause,[],[f4277]) ).
fof(f4277,plain,
( $false
| ~ spl144_144
| ~ spl144_165 ),
inference(subsumption_resolution,[],[f4276,f378]) ).
fof(f4276,plain,
( e20 = e23
| ~ spl144_144
| ~ spl144_165 ),
inference(forward_demodulation,[],[f1837,f1927]) ).
fof(f1837,plain,
( e23 = op2(e23,e23)
| ~ spl144_144 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f1835,plain,
( spl144_144
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_144])]) ).
fof(f4275,plain,
( ~ spl144_171
| ~ spl144_181 ),
inference(avatar_contradiction_clause,[],[f4274]) ).
fof(f4274,plain,
( $false
| ~ spl144_171
| ~ spl144_181 ),
inference(subsumption_resolution,[],[f4273,f380]) ).
fof(f4273,plain,
( e21 = e23
| ~ spl144_171
| ~ spl144_181 ),
inference(forward_demodulation,[],[f1953,f1997]) ).
fof(f1953,plain,
( e23 = op2(e22,e22)
| ~ spl144_171 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1951,plain,
( spl144_171
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_171])]) ).
fof(f4270,plain,
( ~ spl144_181
| ~ spl144_186 ),
inference(avatar_contradiction_clause,[],[f4269]) ).
fof(f4269,plain,
( $false
| ~ spl144_181
| ~ spl144_186 ),
inference(subsumption_resolution,[],[f4264,f376]) ).
fof(f4264,plain,
( e20 = e21
| ~ spl144_181
| ~ spl144_186 ),
inference(superposition,[],[f1997,f2019]) ).
fof(f2019,plain,
( e20 = op2(e22,e22)
| ~ spl144_186 ),
inference(avatar_component_clause,[],[f2017]) ).
fof(f2017,plain,
( spl144_186
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_186])]) ).
fof(f4243,plain,
( ~ spl144_156
| ~ spl144_163 ),
inference(avatar_contradiction_clause,[],[f4242]) ).
fof(f4242,plain,
( $false
| ~ spl144_156
| ~ spl144_163 ),
inference(subsumption_resolution,[],[f4241,f376]) ).
fof(f4241,plain,
( e20 = e21
| ~ spl144_156
| ~ spl144_163 ),
inference(forward_demodulation,[],[f1889,f1919]) ).
fof(f1919,plain,
( e20 = op2(e21,e23)
| ~ spl144_163 ),
inference(avatar_component_clause,[],[f1917]) ).
fof(f1917,plain,
( spl144_163
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_163])]) ).
fof(f1889,plain,
( e21 = op2(e21,e23)
| ~ spl144_156 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f4239,plain,
( ~ spl144_149
| ~ spl144_163 ),
inference(avatar_contradiction_clause,[],[f4238]) ).
fof(f4238,plain,
( $false
| ~ spl144_149
| ~ spl144_163 ),
inference(subsumption_resolution,[],[f4233,f377]) ).
fof(f4233,plain,
( e20 = e22
| ~ spl144_149
| ~ spl144_163 ),
inference(superposition,[],[f1859,f1919]) ).
fof(f1859,plain,
( e22 = op2(e21,e23)
| ~ spl144_149 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f1857,plain,
( spl144_149
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_149])]) ).
fof(f4225,plain,
( ~ spl144_141
| ~ spl144_155 ),
inference(avatar_contradiction_clause,[],[f4224]) ).
fof(f4224,plain,
( $false
| ~ spl144_141
| ~ spl144_155 ),
inference(subsumption_resolution,[],[f4220,f380]) ).
fof(f4220,plain,
( e21 = e23
| ~ spl144_141
| ~ spl144_155 ),
inference(superposition,[],[f1825,f1885]) ).
fof(f1885,plain,
( e21 = op2(e20,e23)
| ~ spl144_155 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1883,plain,
( spl144_155
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_155])]) ).
fof(f4200,plain,
( ~ spl144_191
| ~ spl144_200 ),
inference(avatar_contradiction_clause,[],[f4199]) ).
fof(f4199,plain,
( $false
| ~ spl144_191
| ~ spl144_200 ),
inference(subsumption_resolution,[],[f4196,f378]) ).
fof(f4196,plain,
( e20 = e23
| ~ spl144_191
| ~ spl144_200 ),
inference(superposition,[],[f2042,f2084]) ).
fof(f2084,plain,
( e20 = op2(e21,e20)
| ~ spl144_200 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f2082,plain,
( spl144_200
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_200])]) ).
fof(f4163,plain,
( ~ spl144_173
| ~ spl144_188 ),
inference(avatar_contradiction_clause,[],[f4162]) ).
fof(f4162,plain,
( $false
| ~ spl144_173
| ~ spl144_188 ),
inference(subsumption_resolution,[],[f4161,f378]) ).
fof(f4161,plain,
( e20 = e23
| ~ spl144_173
| ~ spl144_188 ),
inference(forward_demodulation,[],[f1962,f2028]) ).
fof(f2028,plain,
( e20 = op2(e22,e21)
| ~ spl144_188 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2026,plain,
( spl144_188
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_188])]) ).
fof(f4160,plain,
( ~ spl144_180
| ~ spl144_185 ),
inference(avatar_contradiction_clause,[],[f4159]) ).
fof(f4159,plain,
( $false
| ~ spl144_180
| ~ spl144_185 ),
inference(subsumption_resolution,[],[f4158,f376]) ).
fof(f4158,plain,
( e20 = e21
| ~ spl144_180
| ~ spl144_185 ),
inference(forward_demodulation,[],[f1993,f2015]) ).
fof(f1993,plain,
( e21 = op2(e21,e22)
| ~ spl144_180 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f1991,plain,
( spl144_180
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_180])]) ).
fof(f4149,plain,
( ~ spl144_203
| ~ spl144_204 ),
inference(avatar_contradiction_clause,[],[f4148]) ).
fof(f4148,plain,
( $false
| ~ spl144_203
| ~ spl144_204 ),
inference(subsumption_resolution,[],[f4147,f376]) ).
fof(f4147,plain,
( e20 = e21
| ~ spl144_203
| ~ spl144_204 ),
inference(forward_demodulation,[],[f2101,f2107]) ).
fof(f2107,plain,
( e20 = op2(e20,e20)
| ~ spl144_204 ),
inference(avatar_component_clause,[],[f2105]) ).
fof(f2105,plain,
( spl144_204
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_204])]) ).
fof(f4146,plain,
( ~ spl144_201
| ~ spl144_204 ),
inference(avatar_contradiction_clause,[],[f4145]) ).
fof(f4145,plain,
( $false
| ~ spl144_201
| ~ spl144_204 ),
inference(subsumption_resolution,[],[f4142,f378]) ).
fof(f4142,plain,
( e20 = e23
| ~ spl144_201
| ~ spl144_204 ),
inference(superposition,[],[f2089,f2107]) ).
fof(f4137,plain,
( ~ spl144_201
| ~ spl144_203 ),
inference(avatar_contradiction_clause,[],[f4136]) ).
fof(f4136,plain,
( $false
| ~ spl144_201
| ~ spl144_203 ),
inference(subsumption_resolution,[],[f4133,f380]) ).
fof(f4133,plain,
( e21 = e23
| ~ spl144_201
| ~ spl144_203 ),
inference(superposition,[],[f2089,f2101]) ).
fof(f4127,plain,
( ~ spl144_177
| ~ spl144_187 ),
inference(avatar_contradiction_clause,[],[f4126]) ).
fof(f4126,plain,
( $false
| ~ spl144_177
| ~ spl144_187 ),
inference(subsumption_resolution,[],[f4123,f377]) ).
fof(f4123,plain,
( e20 = e22
| ~ spl144_177
| ~ spl144_187 ),
inference(superposition,[],[f1980,f2024]) ).
fof(f1980,plain,
( e22 = op2(e22,e20)
| ~ spl144_177 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f1978,plain,
( spl144_177
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_177])]) ).
fof(f4113,plain,
( ~ spl144_174
| ~ spl144_184 ),
inference(avatar_contradiction_clause,[],[f4112]) ).
fof(f4112,plain,
( $false
| ~ spl144_174
| ~ spl144_184 ),
inference(subsumption_resolution,[],[f4111,f377]) ).
fof(f4111,plain,
( e20 = e22
| ~ spl144_174
| ~ spl144_184 ),
inference(forward_demodulation,[],[f1967,f2011]) ).
fof(f4110,plain,
( ~ spl144_142
| ~ spl144_163 ),
inference(avatar_contradiction_clause,[],[f4109]) ).
fof(f4109,plain,
( $false
| ~ spl144_142
| ~ spl144_163 ),
inference(subsumption_resolution,[],[f4106,f378]) ).
fof(f4106,plain,
( e20 = e23
| ~ spl144_142
| ~ spl144_163 ),
inference(superposition,[],[f1829,f1919]) ).
fof(f1829,plain,
( e23 = op2(e21,e23)
| ~ spl144_142 ),
inference(avatar_component_clause,[],[f1827]) ).
fof(f1827,plain,
( spl144_142
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_142])]) ).
fof(f4102,plain,
( ~ spl144_197
| ~ spl144_200 ),
inference(avatar_contradiction_clause,[],[f4101]) ).
fof(f4101,plain,
( $false
| ~ spl144_197
| ~ spl144_200 ),
inference(subsumption_resolution,[],[f4097,f376]) ).
fof(f4097,plain,
( e20 = e21
| ~ spl144_197
| ~ spl144_200 ),
inference(superposition,[],[f2070,f2084]) ).
fof(f2070,plain,
( e21 = op2(e21,e20)
| ~ spl144_197 ),
inference(avatar_component_clause,[],[f2068]) ).
fof(f2068,plain,
( spl144_197
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_197])]) ).
fof(f4093,plain,
( ~ spl144_195
| ~ spl144_198 ),
inference(avatar_contradiction_clause,[],[f4092]) ).
fof(f4092,plain,
( $false
| ~ spl144_195
| ~ spl144_198 ),
inference(subsumption_resolution,[],[f4088,f376]) ).
fof(f4088,plain,
( e20 = e21
| ~ spl144_195
| ~ spl144_198 ),
inference(superposition,[],[f2061,f2075]) ).
fof(f2061,plain,
( e21 = op2(e20,e21)
| ~ spl144_195 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f2059,plain,
( spl144_195
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_195])]) ).
fof(f4071,plain,
( ~ spl144_145
| ~ spl144_152 ),
inference(avatar_contradiction_clause,[],[f4070]) ).
fof(f4070,plain,
( $false
| ~ spl144_145
| ~ spl144_152 ),
inference(subsumption_resolution,[],[f4069,f381]) ).
fof(f4069,plain,
( e22 = e23
| ~ spl144_145
| ~ spl144_152 ),
inference(forward_demodulation,[],[f1842,f1872]) ).
fof(f1842,plain,
( e23 = op2(e23,e20)
| ~ spl144_145 ),
inference(avatar_component_clause,[],[f1840]) ).
fof(f4067,plain,
( ~ spl144_175
| ~ spl144_180 ),
inference(avatar_contradiction_clause,[],[f4066]) ).
fof(f4066,plain,
( $false
| ~ spl144_175
| ~ spl144_180 ),
inference(subsumption_resolution,[],[f4062,f379]) ).
fof(f4062,plain,
( e21 = e22
| ~ spl144_175
| ~ spl144_180 ),
inference(superposition,[],[f1971,f1993]) ).
fof(f1971,plain,
( e22 = op2(e21,e22)
| ~ spl144_175 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f1969,plain,
( spl144_175
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_175])]) ).
fof(f4057,plain,
( ~ spl144_152
| ~ spl144_159 ),
inference(avatar_contradiction_clause,[],[f4056]) ).
fof(f4056,plain,
( $false
| ~ spl144_152
| ~ spl144_159 ),
inference(subsumption_resolution,[],[f4052,f379]) ).
fof(f4052,plain,
( e21 = e22
| ~ spl144_152
| ~ spl144_159 ),
inference(superposition,[],[f1872,f1902]) ).
fof(f1902,plain,
( e21 = op2(e23,e20)
| ~ spl144_159 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f1900,plain,
( spl144_159
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_159])]) ).
fof(f4048,plain,
( ~ spl144_148
| ~ spl144_155 ),
inference(avatar_contradiction_clause,[],[f4047]) ).
fof(f4047,plain,
( $false
| ~ spl144_148
| ~ spl144_155 ),
inference(subsumption_resolution,[],[f4043,f379]) ).
fof(f4043,plain,
( e21 = e22
| ~ spl144_148
| ~ spl144_155 ),
inference(superposition,[],[f1855,f1885]) ).
fof(f1855,plain,
( e22 = op2(e20,e23)
| ~ spl144_148 ),
inference(avatar_component_clause,[],[f1853]) ).
fof(f1853,plain,
( spl144_148
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_148])]) ).
fof(f4039,plain,
( ~ spl144_158
| ~ spl144_165 ),
inference(avatar_contradiction_clause,[],[f4038]) ).
fof(f4038,plain,
( $false
| ~ spl144_158
| ~ spl144_165 ),
inference(subsumption_resolution,[],[f4037,f376]) ).
fof(f4037,plain,
( e20 = e21
| ~ spl144_158
| ~ spl144_165 ),
inference(forward_demodulation,[],[f1897,f1927]) ).
fof(f1897,plain,
( e21 = op2(e23,e23)
| ~ spl144_158 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1895,plain,
( spl144_158
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_158])]) ).
fof(f4034,plain,
( ~ spl144_172
| ~ spl144_177 ),
inference(avatar_contradiction_clause,[],[f4033]) ).
fof(f4033,plain,
( $false
| ~ spl144_172
| ~ spl144_177 ),
inference(subsumption_resolution,[],[f4032,f381]) ).
fof(f4032,plain,
( e22 = e23
| ~ spl144_172
| ~ spl144_177 ),
inference(forward_demodulation,[],[f1958,f1980]) ).
fof(f1958,plain,
( e23 = op2(e22,e20)
| ~ spl144_172 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f1956,plain,
( spl144_172
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_172])]) ).
fof(f4029,plain,
( ~ spl144_175
| ~ spl144_185 ),
inference(avatar_contradiction_clause,[],[f4028]) ).
fof(f4028,plain,
( $false
| ~ spl144_175
| ~ spl144_185 ),
inference(subsumption_resolution,[],[f4024,f377]) ).
fof(f4024,plain,
( e20 = e22
| ~ spl144_175
| ~ spl144_185 ),
inference(superposition,[],[f1971,f2015]) ).
fof(f4011,plain,
( ~ spl144_147
| ~ spl144_161 ),
inference(avatar_contradiction_clause,[],[f4010]) ).
fof(f4010,plain,
( $false
| ~ spl144_147
| ~ spl144_161 ),
inference(subsumption_resolution,[],[f4006,f380]) ).
fof(f4006,plain,
( e21 = e23
| ~ spl144_147
| ~ spl144_161 ),
inference(superposition,[],[f1850,f1910]) ).
fof(f1910,plain,
( e21 = op2(e23,e22)
| ~ spl144_161 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1908,plain,
( spl144_161
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_161])]) ).
fof(f3995,plain,
( ~ spl144_142
| ~ spl144_149 ),
inference(avatar_contradiction_clause,[],[f3994]) ).
fof(f3994,plain,
( $false
| ~ spl144_142
| ~ spl144_149 ),
inference(subsumption_resolution,[],[f3991,f381]) ).
fof(f3991,plain,
( e22 = e23
| ~ spl144_142
| ~ spl144_149 ),
inference(superposition,[],[f1829,f1859]) ).
fof(f3988,plain,
( ~ spl144_146
| ~ spl144_160 ),
inference(avatar_contradiction_clause,[],[f3987]) ).
fof(f3987,plain,
( $false
| ~ spl144_146
| ~ spl144_160 ),
inference(subsumption_resolution,[],[f3986,f380]) ).
fof(f3986,plain,
( e21 = e23
| ~ spl144_146
| ~ spl144_160 ),
inference(forward_demodulation,[],[f1846,f1906]) ).
fof(f1846,plain,
( e23 = op2(e23,e21)
| ~ spl144_146 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f1844,plain,
( spl144_146
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_146])]) ).
fof(f3985,plain,
( ~ spl144_177
| ~ spl144_182 ),
inference(avatar_contradiction_clause,[],[f3984]) ).
fof(f3984,plain,
( $false
| ~ spl144_177
| ~ spl144_182 ),
inference(subsumption_resolution,[],[f3979,f379]) ).
fof(f3979,plain,
( e21 = e22
| ~ spl144_177
| ~ spl144_182 ),
inference(superposition,[],[f1980,f2002]) ).
fof(f3959,plain,
( ~ spl144_191
| ~ spl144_197 ),
inference(avatar_contradiction_clause,[],[f3958]) ).
fof(f3958,plain,
( $false
| ~ spl144_191
| ~ spl144_197 ),
inference(subsumption_resolution,[],[f3957,f380]) ).
fof(f3957,plain,
( e21 = e23
| ~ spl144_191
| ~ spl144_197 ),
inference(forward_demodulation,[],[f2042,f2070]) ).
fof(f3949,plain,
( ~ spl144_148
| ~ spl144_162 ),
inference(avatar_contradiction_clause,[],[f3948]) ).
fof(f3948,plain,
( $false
| ~ spl144_148
| ~ spl144_162 ),
inference(subsumption_resolution,[],[f3947,f377]) ).
fof(f3947,plain,
( e20 = e22
| ~ spl144_148
| ~ spl144_162 ),
inference(forward_demodulation,[],[f1855,f1915]) ).
fof(f1915,plain,
( e20 = op2(e20,e23)
| ~ spl144_162 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f3936,plain,
( ~ spl144_150
| ~ spl144_157 ),
inference(avatar_contradiction_clause,[],[f3935]) ).
fof(f3935,plain,
( $false
| ~ spl144_150
| ~ spl144_157 ),
inference(subsumption_resolution,[],[f3934,f379]) ).
fof(f3934,plain,
( e21 = e22
| ~ spl144_150
| ~ spl144_157 ),
inference(forward_demodulation,[],[f1863,f1893]) ).
fof(f1893,plain,
( e21 = op2(e22,e23)
| ~ spl144_157 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f3927,plain,
( spl144_180
| ~ spl144_193
| ~ spl144_277 ),
inference(avatar_split_clause,[],[f3926,f2475,f2049,f1991]) ).
fof(f2475,plain,
( spl144_277
<=> e21 = op2(e21,op2(e21,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_277])]) ).
fof(f3926,plain,
( e21 = op2(e21,e22)
| ~ spl144_193
| ~ spl144_277 ),
inference(forward_demodulation,[],[f2477,f2051]) ).
fof(f2477,plain,
( e21 = op2(e21,op2(e21,e21))
| ~ spl144_277 ),
inference(avatar_component_clause,[],[f2475]) ).
fof(f3925,plain,
( spl144_199
| ~ spl144_197
| ~ spl144_278 ),
inference(avatar_split_clause,[],[f3924,f2480,f2068,f2077]) ).
fof(f2077,plain,
( spl144_199
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_199])]) ).
fof(f2480,plain,
( spl144_278
<=> e20 = op2(e21,op2(e21,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_278])]) ).
fof(f3924,plain,
( e20 = op2(e21,e21)
| ~ spl144_197
| ~ spl144_278 ),
inference(forward_demodulation,[],[f2482,f2070]) ).
fof(f2482,plain,
( e20 = op2(e21,op2(e21,e20))
| ~ spl144_278 ),
inference(avatar_component_clause,[],[f2480]) ).
fof(f3915,plain,
( ~ spl144_193
| ~ spl144_199 ),
inference(avatar_contradiction_clause,[],[f3914]) ).
fof(f3914,plain,
( $false
| ~ spl144_193
| ~ spl144_199 ),
inference(subsumption_resolution,[],[f3911,f377]) ).
fof(f3911,plain,
( e20 = e22
| ~ spl144_193
| ~ spl144_199 ),
inference(superposition,[],[f2051,f2079]) ).
fof(f2079,plain,
( e20 = op2(e21,e21)
| ~ spl144_199 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f3900,plain,
( ~ spl144_147
| ~ spl144_168 ),
inference(avatar_contradiction_clause,[],[f3899]) ).
fof(f3899,plain,
( $false
| ~ spl144_147
| ~ spl144_168 ),
inference(subsumption_resolution,[],[f3898,f378]) ).
fof(f3898,plain,
( e20 = e23
| ~ spl144_147
| ~ spl144_168 ),
inference(forward_demodulation,[],[f1850,f1940]) ).
fof(f1940,plain,
( e20 = op2(e23,e22)
| ~ spl144_168 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f3896,plain,
( ~ spl144_169
| ~ spl144_179 ),
inference(avatar_contradiction_clause,[],[f3895]) ).
fof(f3895,plain,
( $false
| ~ spl144_169
| ~ spl144_179 ),
inference(subsumption_resolution,[],[f3891,f380]) ).
fof(f3891,plain,
( e21 = e23
| ~ spl144_169
| ~ spl144_179 ),
inference(superposition,[],[f1945,f1989]) ).
fof(f1989,plain,
( e21 = op2(e20,e22)
| ~ spl144_179 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f1987,plain,
( spl144_179
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_179])]) ).
fof(f3885,plain,
( ~ spl144_170
| ~ spl144_180 ),
inference(avatar_contradiction_clause,[],[f3884]) ).
fof(f3884,plain,
( $false
| ~ spl144_170
| ~ spl144_180 ),
inference(subsumption_resolution,[],[f3881,f380]) ).
fof(f3881,plain,
( e21 = e23
| ~ spl144_170
| ~ spl144_180 ),
inference(superposition,[],[f1949,f1993]) ).
fof(f3874,plain,
( ~ spl144_146
| ~ spl144_167 ),
inference(avatar_contradiction_clause,[],[f3873]) ).
fof(f3873,plain,
( $false
| ~ spl144_146
| ~ spl144_167 ),
inference(subsumption_resolution,[],[f3870,f378]) ).
fof(f3870,plain,
( e20 = e23
| ~ spl144_146
| ~ spl144_167 ),
inference(superposition,[],[f1846,f1936]) ).
fof(f1936,plain,
( e20 = op2(e23,e21)
| ~ spl144_167 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f1934,plain,
( spl144_167
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_167])]) ).
fof(f3866,plain,
( ~ spl144_161
| ~ spl144_168 ),
inference(avatar_contradiction_clause,[],[f3865]) ).
fof(f3865,plain,
( $false
| ~ spl144_161
| ~ spl144_168 ),
inference(subsumption_resolution,[],[f3860,f376]) ).
fof(f3860,plain,
( e20 = e21
| ~ spl144_161
| ~ spl144_168 ),
inference(superposition,[],[f1910,f1940]) ).
fof(f3856,plain,
( ~ spl144_193
| ~ spl144_196 ),
inference(avatar_contradiction_clause,[],[f3855]) ).
fof(f3855,plain,
( $false
| ~ spl144_193
| ~ spl144_196 ),
inference(subsumption_resolution,[],[f3852,f379]) ).
fof(f3852,plain,
( e21 = e22
| ~ spl144_193
| ~ spl144_196 ),
inference(superposition,[],[f2051,f2065]) ).
fof(f2065,plain,
( e21 = op2(e21,e21)
| ~ spl144_196 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2063,plain,
( spl144_196
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_196])]) ).
fof(f3842,plain,
( ~ spl144_190
| ~ spl144_193 ),
inference(avatar_contradiction_clause,[],[f3841]) ).
fof(f3841,plain,
( $false
| ~ spl144_190
| ~ spl144_193 ),
inference(subsumption_resolution,[],[f3838,f381]) ).
fof(f3838,plain,
( e22 = e23
| ~ spl144_190
| ~ spl144_193 ),
inference(superposition,[],[f2037,f2051]) ).
fof(f2037,plain,
( e23 = op2(e21,e21)
| ~ spl144_190 ),
inference(avatar_component_clause,[],[f2035]) ).
fof(f2035,plain,
( spl144_190
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_190])]) ).
fof(f3834,plain,
( ~ spl144_172
| ~ spl144_187 ),
inference(avatar_contradiction_clause,[],[f3833]) ).
fof(f3833,plain,
( $false
| ~ spl144_172
| ~ spl144_187 ),
inference(subsumption_resolution,[],[f3829,f378]) ).
fof(f3829,plain,
( e20 = e23
| ~ spl144_172
| ~ spl144_187 ),
inference(superposition,[],[f1958,f2024]) ).
fof(f3819,plain,
( ~ spl144_142
| ~ spl144_156 ),
inference(avatar_contradiction_clause,[],[f3818]) ).
fof(f3818,plain,
( $false
| ~ spl144_142
| ~ spl144_156 ),
inference(subsumption_resolution,[],[f3817,f380]) ).
fof(f3817,plain,
( e21 = e23
| ~ spl144_142
| ~ spl144_156 ),
inference(forward_demodulation,[],[f1829,f1889]) ).
fof(f3816,plain,
( ~ spl144_141
| ~ spl144_162 ),
inference(avatar_contradiction_clause,[],[f3815]) ).
fof(f3815,plain,
( $false
| ~ spl144_141
| ~ spl144_162 ),
inference(subsumption_resolution,[],[f3812,f378]) ).
fof(f3812,plain,
( e20 = e23
| ~ spl144_141
| ~ spl144_162 ),
inference(superposition,[],[f1825,f1915]) ).
fof(f3805,plain,
( ~ spl144_173
| ~ spl144_178 ),
inference(avatar_contradiction_clause,[],[f3804]) ).
fof(f3804,plain,
( $false
| ~ spl144_173
| ~ spl144_178 ),
inference(subsumption_resolution,[],[f3803,f381]) ).
fof(f3803,plain,
( e22 = e23
| ~ spl144_173
| ~ spl144_178 ),
inference(forward_demodulation,[],[f1962,f1984]) ).
fof(f1984,plain,
( e22 = op2(e22,e21)
| ~ spl144_178 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f1982,plain,
( spl144_178
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_178])]) ).
fof(f3794,plain,
( ~ spl144_171
| ~ spl144_186 ),
inference(avatar_contradiction_clause,[],[f3793]) ).
fof(f3793,plain,
( $false
| ~ spl144_171
| ~ spl144_186 ),
inference(subsumption_resolution,[],[f3792,f378]) ).
fof(f3792,plain,
( e20 = e23
| ~ spl144_171
| ~ spl144_186 ),
inference(forward_demodulation,[],[f1953,f2019]) ).
fof(f3790,plain,
( spl144_188
| ~ spl144_182
| ~ spl144_273 ),
inference(avatar_split_clause,[],[f3789,f2453,f2000,f2026]) ).
fof(f2453,plain,
( spl144_273
<=> e20 = op2(e22,op2(e22,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_273])]) ).
fof(f3789,plain,
( e20 = op2(e22,e21)
| ~ spl144_182
| ~ spl144_273 ),
inference(forward_demodulation,[],[f2455,f2002]) ).
fof(f2455,plain,
( e20 = op2(e22,op2(e22,e20))
| ~ spl144_273 ),
inference(avatar_component_clause,[],[f2453]) ).
fof(f3785,plain,
( ~ spl144_172
| ~ spl144_182 ),
inference(avatar_contradiction_clause,[],[f3784]) ).
fof(f3784,plain,
( $false
| ~ spl144_172
| ~ spl144_182 ),
inference(subsumption_resolution,[],[f3781,f380]) ).
fof(f3781,plain,
( e21 = e23
| ~ spl144_172
| ~ spl144_182 ),
inference(superposition,[],[f1958,f2002]) ).
fof(f3754,plain,
( ~ spl144_149
| ~ spl144_156 ),
inference(avatar_contradiction_clause,[],[f3753]) ).
fof(f3753,plain,
( $false
| ~ spl144_149
| ~ spl144_156 ),
inference(subsumption_resolution,[],[f3752,f379]) ).
fof(f3752,plain,
( e21 = e22
| ~ spl144_149
| ~ spl144_156 ),
inference(forward_demodulation,[],[f1859,f1889]) ).
fof(f3741,plain,
( ~ spl144_141
| ~ spl144_148 ),
inference(avatar_contradiction_clause,[],[f3740]) ).
fof(f3740,plain,
( $false
| ~ spl144_141
| ~ spl144_148 ),
inference(subsumption_resolution,[],[f3737,f381]) ).
fof(f3737,plain,
( e22 = e23
| ~ spl144_141
| ~ spl144_148 ),
inference(superposition,[],[f1825,f1855]) ).
fof(f3734,plain,
( ~ spl144_154
| ~ spl144_161 ),
inference(avatar_contradiction_clause,[],[f3733]) ).
fof(f3733,plain,
( $false
| ~ spl144_154
| ~ spl144_161 ),
inference(subsumption_resolution,[],[f3729,f379]) ).
fof(f3729,plain,
( e21 = e22
| ~ spl144_154
| ~ spl144_161 ),
inference(superposition,[],[f1880,f1910]) ).
fof(f3726,plain,
( ~ spl144_145
| ~ spl144_159 ),
inference(avatar_contradiction_clause,[],[f3725]) ).
fof(f3725,plain,
( $false
| ~ spl144_145
| ~ spl144_159 ),
inference(subsumption_resolution,[],[f3722,f380]) ).
fof(f3722,plain,
( e21 = e23
| ~ spl144_145
| ~ spl144_159 ),
inference(superposition,[],[f1842,f1902]) ).
fof(f3709,plain,
( ~ spl144_154
| ~ spl144_168 ),
inference(avatar_contradiction_clause,[],[f3708]) ).
fof(f3708,plain,
( $false
| ~ spl144_154
| ~ spl144_168 ),
inference(subsumption_resolution,[],[f3707,f377]) ).
fof(f3707,plain,
( e20 = e22
| ~ spl144_154
| ~ spl144_168 ),
inference(forward_demodulation,[],[f1880,f1940]) ).
fof(f3701,plain,
( ~ spl144_176
| ~ spl144_186 ),
inference(avatar_contradiction_clause,[],[f3700]) ).
fof(f3700,plain,
( $false
| ~ spl144_176
| ~ spl144_186 ),
inference(subsumption_resolution,[],[f3697,f377]) ).
fof(f3697,plain,
( e20 = e22
| ~ spl144_176
| ~ spl144_186 ),
inference(superposition,[],[f1975,f2019]) ).
fof(f3693,plain,
( ~ spl144_179
| ~ spl144_184 ),
inference(avatar_contradiction_clause,[],[f3692]) ).
fof(f3692,plain,
( $false
| ~ spl144_179
| ~ spl144_184 ),
inference(subsumption_resolution,[],[f3689,f376]) ).
fof(f3689,plain,
( e20 = e21
| ~ spl144_179
| ~ spl144_184 ),
inference(superposition,[],[f1989,f2011]) ).
fof(f3683,plain,
( ~ spl144_171
| ~ spl144_176 ),
inference(avatar_contradiction_clause,[],[f3682]) ).
fof(f3682,plain,
( $false
| ~ spl144_171
| ~ spl144_176 ),
inference(subsumption_resolution,[],[f3679,f381]) ).
fof(f3679,plain,
( e22 = e23
| ~ spl144_171
| ~ spl144_176 ),
inference(superposition,[],[f1953,f1975]) ).
fof(f3675,plain,
( ~ spl144_160
| ~ spl144_167 ),
inference(avatar_contradiction_clause,[],[f3674]) ).
fof(f3674,plain,
( $false
| ~ spl144_160
| ~ spl144_167 ),
inference(subsumption_resolution,[],[f3670,f376]) ).
fof(f3670,plain,
( e20 = e21
| ~ spl144_160
| ~ spl144_167 ),
inference(superposition,[],[f1906,f1936]) ).
fof(f3655,plain,
spl144_257,
inference(avatar_split_clause,[],[f520,f2353]) ).
fof(f520,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f3654,plain,
spl144_193,
inference(avatar_split_clause,[],[f517,f2049]) ).
fof(f517,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f3653,plain,
( spl144_428
| spl144_427
| spl144_426
| spl144_425
| spl144_424
| spl144_423
| spl144_422
| spl144_421
| spl144_420
| spl144_419
| spl144_418
| spl144_417
| spl144_416
| spl144_415
| spl144_414
| spl144_413
| spl144_412
| spl144_411
| spl144_410
| spl144_409
| spl144_408
| spl144_407
| spl144_406
| spl144_405
| spl144_404
| spl144_403
| spl144_402
| spl144_401
| spl144_400
| spl144_399
| spl144_398
| spl144_397
| spl144_396
| spl144_395
| spl144_394
| spl144_393
| spl144_392
| spl144_391
| spl144_390
| spl144_389
| spl144_388
| spl144_387
| spl144_386
| spl144_385
| spl144_384
| spl144_383
| spl144_382
| spl144_381
| spl144_380
| spl144_379
| spl144_378
| spl144_377
| spl144_376
| spl144_375
| spl144_374
| spl144_373
| spl144_372
| spl144_371
| spl144_370
| spl144_369
| spl144_368
| spl144_367
| spl144_366
| spl144_208 ),
inference(avatar_split_clause,[],[f1182,f2139,f3124,f3132,f3140,f3148,f3156,f3164,f3172,f3180,f3188,f3196,f3204,f3212,f3220,f3228,f3236,f3244,f3252,f3260,f3268,f3276,f3284,f3292,f3300,f3308,f3316,f3324,f3332,f3340,f3348,f3356,f3364,f3372,f3380,f3388,f3396,f3404,f3412,f3420,f3428,f3436,f3444,f3452,f3460,f3468,f3476,f3484,f3492,f3500,f3508,f3516,f3524,f3532,f3540,f3548,f3556,f3564,f3572,f3580,f3588,f3596,f3604,f3612,f3620]) ).
fof(f3620,plain,
( spl144_428
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_428])]) ).
fof(f3612,plain,
( spl144_427
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_427])]) ).
fof(f3604,plain,
( spl144_426
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_426])]) ).
fof(f3596,plain,
( spl144_425
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_425])]) ).
fof(f3588,plain,
( spl144_424
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_424])]) ).
fof(f3580,plain,
( spl144_423
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_423])]) ).
fof(f3572,plain,
( spl144_422
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_422])]) ).
fof(f3564,plain,
( spl144_421
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_421])]) ).
fof(f3556,plain,
( spl144_420
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_420])]) ).
fof(f3548,plain,
( spl144_419
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_419])]) ).
fof(f3540,plain,
( spl144_418
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_418])]) ).
fof(f3532,plain,
( spl144_417
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_417])]) ).
fof(f3524,plain,
( spl144_416
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_416])]) ).
fof(f3516,plain,
( spl144_415
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_415])]) ).
fof(f3508,plain,
( spl144_414
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_414])]) ).
fof(f3500,plain,
( spl144_413
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_413])]) ).
fof(f3492,plain,
( spl144_412
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_412])]) ).
fof(f3484,plain,
( spl144_411
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_411])]) ).
fof(f3476,plain,
( spl144_410
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_410])]) ).
fof(f3468,plain,
( spl144_409
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_409])]) ).
fof(f3460,plain,
( spl144_408
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_408])]) ).
fof(f3452,plain,
( spl144_407
<=> sP99 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_407])]) ).
fof(f3444,plain,
( spl144_406
<=> sP100 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_406])]) ).
fof(f3436,plain,
( spl144_405
<=> sP101 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_405])]) ).
fof(f3428,plain,
( spl144_404
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_404])]) ).
fof(f3420,plain,
( spl144_403
<=> sP103 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_403])]) ).
fof(f3412,plain,
( spl144_402
<=> sP104 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_402])]) ).
fof(f3404,plain,
( spl144_401
<=> sP105 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_401])]) ).
fof(f3396,plain,
( spl144_400
<=> sP106 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_400])]) ).
fof(f3388,plain,
( spl144_399
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_399])]) ).
fof(f3380,plain,
( spl144_398
<=> sP108 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_398])]) ).
fof(f3372,plain,
( spl144_397
<=> sP109 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_397])]) ).
fof(f3364,plain,
( spl144_396
<=> sP110 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_396])]) ).
fof(f3356,plain,
( spl144_395
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_395])]) ).
fof(f3348,plain,
( spl144_394
<=> sP112 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_394])]) ).
fof(f3340,plain,
( spl144_393
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_393])]) ).
fof(f3332,plain,
( spl144_392
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_392])]) ).
fof(f3324,plain,
( spl144_391
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_391])]) ).
fof(f3316,plain,
( spl144_390
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_390])]) ).
fof(f3308,plain,
( spl144_389
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_389])]) ).
fof(f3300,plain,
( spl144_388
<=> sP118 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_388])]) ).
fof(f3292,plain,
( spl144_387
<=> sP119 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_387])]) ).
fof(f3284,plain,
( spl144_386
<=> sP120 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_386])]) ).
fof(f3276,plain,
( spl144_385
<=> sP121 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_385])]) ).
fof(f3268,plain,
( spl144_384
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_384])]) ).
fof(f3260,plain,
( spl144_383
<=> sP123 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_383])]) ).
fof(f3252,plain,
( spl144_382
<=> sP124 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_382])]) ).
fof(f3244,plain,
( spl144_381
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_381])]) ).
fof(f3236,plain,
( spl144_380
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_380])]) ).
fof(f3228,plain,
( spl144_379
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_379])]) ).
fof(f3220,plain,
( spl144_378
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_378])]) ).
fof(f3212,plain,
( spl144_377
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_377])]) ).
fof(f3204,plain,
( spl144_376
<=> sP130 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_376])]) ).
fof(f3196,plain,
( spl144_375
<=> sP131 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_375])]) ).
fof(f3188,plain,
( spl144_374
<=> sP132 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_374])]) ).
fof(f3180,plain,
( spl144_373
<=> sP133 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_373])]) ).
fof(f3172,plain,
( spl144_372
<=> sP134 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_372])]) ).
fof(f3164,plain,
( spl144_371
<=> sP135 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_371])]) ).
fof(f3156,plain,
( spl144_370
<=> sP136 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_370])]) ).
fof(f3148,plain,
( spl144_369
<=> sP137 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_369])]) ).
fof(f3140,plain,
( spl144_368
<=> sP138 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_368])]) ).
fof(f3132,plain,
( spl144_367
<=> sP139 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_367])]) ).
fof(f3124,plain,
( spl144_366
<=> sP140 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_366])]) ).
fof(f1182,plain,
( e13 = op1(e13,e13)
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& e13 = op1(e13,op1(e13,e13))
& e12 = op1(e13,op1(e13,e12))
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| sP143
| sP142
| sP141 )
& ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78 ) ),
inference(definition_folding,[],[f10,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101]) ).
fof(f101,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f102,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f103,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f104,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f105,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f106,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f107,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f108,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f109,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f110,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f111,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f112,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f113,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f114,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f115,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f116,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f117,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f118,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f119,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f120,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f121,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f122,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f123,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f124,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f125,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f126,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f127,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f128,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f129,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f130,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f131,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f132,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f133,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f134,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f135,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f136,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f137,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f138,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f139,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f140,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f141,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f142,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f143,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f144,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f145,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f146,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f147,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f148,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f149,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f150,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f151,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f152,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f153,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f154,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f155,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f156,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f157,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f158,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f159,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f160,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f161,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f162,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f163,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f164,plain,
( ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f165,plain,
( ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f166,plain,
( ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f10,axiom,
( ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& e13 = op1(e13,op1(e13,e13))
& e12 = op1(e13,op1(e13,e12))
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) ) )
& ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,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)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3639,plain,
( spl144_361
| spl144_356
| spl144_351
| spl144_430 ),
inference(avatar_split_clause,[],[f1188,f3636,f3043,f3070,f3097]) ).
fof(f3097,plain,
( spl144_361
<=> sP141 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_361])]) ).
fof(f3070,plain,
( spl144_356
<=> sP142 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_356])]) ).
fof(f3043,plain,
( spl144_351
<=> sP143 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_351])]) ).
fof(f1188,plain,
( e12 = op1(e13,op1(e13,e12))
| sP143
| sP142
| sP141 ),
inference(cnf_transformation,[],[f167]) ).
fof(f3628,plain,
( spl144_361
| spl144_356
| spl144_351
| ~ spl144_220
| spl144_254 ),
inference(avatar_split_clause,[],[f1191,f2339,f2191,f3043,f3070,f3097]) ).
fof(f1191,plain,
( e13 = op1(e11,e11)
| e11 != op1(e11,e13)
| sP143
| sP142
| sP141 ),
inference(cnf_transformation,[],[f167]) ).
fof(f3627,plain,
( spl144_361
| spl144_356
| spl144_351
| ~ spl144_214
| spl144_235 ),
inference(avatar_split_clause,[],[f1192,f2255,f2165,f3043,f3070,f3097]) ).
fof(f1192,plain,
( e13 = op1(e12,e12)
| e12 != op1(e12,e13)
| sP143
| sP142
| sP141 ),
inference(cnf_transformation,[],[f167]) ).
fof(f3626,plain,
( ~ spl144_428
| spl144_268 ),
inference(avatar_split_clause,[],[f1178,f2409,f3620]) ).
fof(f1178,plain,
( e10 = op1(e10,e10)
| ~ sP78 ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP78 ),
inference(nnf_transformation,[],[f101]) ).
fof(f3625,plain,
( ~ spl144_428
| ~ spl144_268 ),
inference(avatar_split_clause,[],[f1179,f2409,f3620]) ).
fof(f1179,plain,
( e10 != op1(e10,e10)
| ~ sP78 ),
inference(cnf_transformation,[],[f311]) ).
fof(f3616,plain,
( ~ spl144_427
| spl144_263 ),
inference(avatar_split_clause,[],[f1176,f2381,f3612]) ).
fof(f1176,plain,
( e10 = op1(e11,e11)
| ~ sP79 ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP79 ),
inference(nnf_transformation,[],[f102]) ).
fof(f3610,plain,
( ~ spl144_426
| spl144_268 ),
inference(avatar_split_clause,[],[f1170,f2409,f3604]) ).
fof(f1170,plain,
( e10 = op1(e10,e10)
| ~ sP80 ),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP80 ),
inference(nnf_transformation,[],[f103]) ).
fof(f3609,plain,
( ~ spl144_426
| ~ spl144_268 ),
inference(avatar_split_clause,[],[f1171,f2409,f3604]) ).
fof(f1171,plain,
( e10 != op1(e10,e10)
| ~ sP80 ),
inference(cnf_transformation,[],[f309]) ).
fof(f3608,plain,
( ~ spl144_426
| spl144_250 ),
inference(avatar_split_clause,[],[f1172,f2321,f3604]) ).
fof(f1172,plain,
( e10 = op1(e12,e12)
| ~ sP80 ),
inference(cnf_transformation,[],[f309]) ).
fof(f3607,plain,
( ~ spl144_426
| ~ spl144_241 ),
inference(avatar_split_clause,[],[f1173,f2282,f3604]) ).
fof(f1173,plain,
( e12 != op1(e12,e10)
| ~ sP80 ),
inference(cnf_transformation,[],[f309]) ).
fof(f3602,plain,
( ~ spl144_425
| spl144_268 ),
inference(avatar_split_clause,[],[f1166,f2409,f3596]) ).
fof(f1166,plain,
( e10 = op1(e10,e10)
| ~ sP81 ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP81 ),
inference(nnf_transformation,[],[f104]) ).
fof(f3601,plain,
( ~ spl144_425
| ~ spl144_268 ),
inference(avatar_split_clause,[],[f1167,f2409,f3596]) ).
fof(f1167,plain,
( e10 != op1(e10,e10)
| ~ sP81 ),
inference(cnf_transformation,[],[f308]) ).
fof(f3599,plain,
( ~ spl144_425
| ~ spl144_209 ),
inference(avatar_split_clause,[],[f1169,f2144,f3596]) ).
fof(f1169,plain,
( e13 != op1(e13,e10)
| ~ sP81 ),
inference(cnf_transformation,[],[f308]) ).
fof(f3593,plain,
( ~ spl144_424
| ~ spl144_267 ),
inference(avatar_split_clause,[],[f1163,f2403,f3588]) ).
fof(f1163,plain,
( op1(e10,e10) != e11
| ~ sP82 ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP82 ),
inference(nnf_transformation,[],[f105]) ).
fof(f3592,plain,
( ~ spl144_424
| spl144_267 ),
inference(avatar_split_clause,[],[f1164,f2403,f3588]) ).
fof(f1164,plain,
( op1(e10,e10) = e11
| ~ sP82 ),
inference(cnf_transformation,[],[f307]) ).
fof(f3584,plain,
( ~ spl144_423
| spl144_260 ),
inference(avatar_split_clause,[],[f1160,f2367,f3580]) ).
fof(f1160,plain,
( e11 = op1(e11,e11)
| ~ sP83 ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP83 ),
inference(nnf_transformation,[],[f106]) ).
fof(f3578,plain,
( ~ spl144_422
| spl144_262 ),
inference(avatar_split_clause,[],[f1154,f2377,f3572]) ).
fof(f1154,plain,
( e10 = op1(e10,e11)
| ~ sP84 ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP84 ),
inference(nnf_transformation,[],[f107]) ).
fof(f3577,plain,
( ~ spl144_422
| ~ spl144_267 ),
inference(avatar_split_clause,[],[f1155,f2403,f3572]) ).
fof(f1155,plain,
( op1(e10,e10) != e11
| ~ sP84 ),
inference(cnf_transformation,[],[f305]) ).
fof(f3576,plain,
( ~ spl144_422
| spl144_245 ),
inference(avatar_split_clause,[],[f1156,f2299,f3572]) ).
fof(f1156,plain,
( e11 = op1(e12,e12)
| ~ sP84 ),
inference(cnf_transformation,[],[f305]) ).
fof(f3568,plain,
( ~ spl144_421
| spl144_222 ),
inference(avatar_split_clause,[],[f1152,f2199,f3564]) ).
fof(f1152,plain,
( e11 = op1(e13,e13)
| ~ sP85 ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP85 ),
inference(nnf_transformation,[],[f108]) ).
fof(f3562,plain,
( ~ spl144_420
| spl144_248 ),
inference(avatar_split_clause,[],[f1146,f2313,f3556]) ).
fof(f1146,plain,
( e10 = op1(e10,e12)
| ~ sP86 ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP86 ),
inference(nnf_transformation,[],[f109]) ).
fof(f3561,plain,
( ~ spl144_420
| ~ spl144_266 ),
inference(avatar_split_clause,[],[f1147,f2397,f3556]) ).
fof(f1147,plain,
( op1(e10,e10) != e12
| ~ sP86 ),
inference(cnf_transformation,[],[f303]) ).
fof(f3560,plain,
( ~ spl144_420
| spl144_266 ),
inference(avatar_split_clause,[],[f1148,f2397,f3556]) ).
fof(f1148,plain,
( op1(e10,e10) = e12
| ~ sP86 ),
inference(cnf_transformation,[],[f303]) ).
fof(f3559,plain,
( ~ spl144_420
| ~ spl144_248 ),
inference(avatar_split_clause,[],[f1149,f2313,f3556]) ).
fof(f1149,plain,
( e10 != op1(e10,e12)
| ~ sP86 ),
inference(cnf_transformation,[],[f303]) ).
fof(f3554,plain,
( ~ spl144_419
| spl144_248 ),
inference(avatar_split_clause,[],[f1142,f2313,f3548]) ).
fof(f1142,plain,
( e10 = op1(e10,e12)
| ~ sP87 ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP87 ),
inference(nnf_transformation,[],[f110]) ).
fof(f3553,plain,
( ~ spl144_419
| ~ spl144_266 ),
inference(avatar_split_clause,[],[f1143,f2397,f3548]) ).
fof(f1143,plain,
( op1(e10,e10) != e12
| ~ sP87 ),
inference(cnf_transformation,[],[f302]) ).
fof(f3551,plain,
( ~ spl144_419
| ~ spl144_244 ),
inference(avatar_split_clause,[],[f1145,f2295,f3548]) ).
fof(f1145,plain,
( e11 != op1(e11,e12)
| ~ sP87 ),
inference(cnf_transformation,[],[f302]) ).
fof(f3545,plain,
( ~ spl144_418
| ~ spl144_266 ),
inference(avatar_split_clause,[],[f1139,f2397,f3540]) ).
fof(f1139,plain,
( op1(e10,e10) != e12
| ~ sP88 ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP88 ),
inference(nnf_transformation,[],[f111]) ).
fof(f3544,plain,
( ~ spl144_418
| spl144_240 ),
inference(avatar_split_clause,[],[f1140,f2277,f3540]) ).
fof(f1140,plain,
( e12 = op1(e12,e12)
| ~ sP88 ),
inference(cnf_transformation,[],[f301]) ).
fof(f3543,plain,
( ~ spl144_418
| ~ spl144_240 ),
inference(avatar_split_clause,[],[f1141,f2277,f3540]) ).
fof(f1141,plain,
( e12 != op1(e12,e12)
| ~ sP88 ),
inference(cnf_transformation,[],[f301]) ).
fof(f3536,plain,
( ~ spl144_417
| spl144_215 ),
inference(avatar_split_clause,[],[f1136,f2169,f3532]) ).
fof(f1136,plain,
( e12 = op1(e13,e13)
| ~ sP89 ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP89 ),
inference(nnf_transformation,[],[f112]) ).
fof(f3530,plain,
( ~ spl144_416
| spl144_226 ),
inference(avatar_split_clause,[],[f1130,f2217,f3524]) ).
fof(f1130,plain,
( e10 = op1(e10,e13)
| ~ sP90 ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP90 ),
inference(nnf_transformation,[],[f113]) ).
fof(f3529,plain,
( ~ spl144_416
| ~ spl144_265 ),
inference(avatar_split_clause,[],[f1131,f2391,f3524]) ).
fof(f1131,plain,
( op1(e10,e10) != e13
| ~ sP90 ),
inference(cnf_transformation,[],[f299]) ).
fof(f3528,plain,
( ~ spl144_416
| spl144_265 ),
inference(avatar_split_clause,[],[f1132,f2391,f3524]) ).
fof(f1132,plain,
( op1(e10,e10) = e13
| ~ sP90 ),
inference(cnf_transformation,[],[f299]) ).
fof(f3520,plain,
( ~ spl144_415
| spl144_254 ),
inference(avatar_split_clause,[],[f1128,f2339,f3516]) ).
fof(f1128,plain,
( e13 = op1(e11,e11)
| ~ sP91 ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP91 ),
inference(nnf_transformation,[],[f114]) ).
fof(f3514,plain,
( ~ spl144_414
| spl144_226 ),
inference(avatar_split_clause,[],[f1122,f2217,f3508]) ).
fof(f1122,plain,
( e10 = op1(e10,e13)
| ~ sP92 ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP92 ),
inference(nnf_transformation,[],[f115]) ).
fof(f3511,plain,
( ~ spl144_414
| ~ spl144_214 ),
inference(avatar_split_clause,[],[f1125,f2165,f3508]) ).
fof(f1125,plain,
( e12 != op1(e12,e13)
| ~ sP92 ),
inference(cnf_transformation,[],[f297]) ).
fof(f3504,plain,
( ~ spl144_413
| spl144_208 ),
inference(avatar_split_clause,[],[f1120,f2139,f3500]) ).
fof(f1120,plain,
( e13 = op1(e13,e13)
| ~ sP93 ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP93 ),
inference(nnf_transformation,[],[f116]) ).
fof(f3498,plain,
( ~ spl144_412
| spl144_261 ),
inference(avatar_split_clause,[],[f1114,f2372,f3492]) ).
fof(f1114,plain,
( e11 = op1(e11,e10)
| ~ sP94 ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP94 ),
inference(nnf_transformation,[],[f117]) ).
fof(f3496,plain,
( ~ spl144_412
| spl144_268 ),
inference(avatar_split_clause,[],[f1116,f2409,f3492]) ).
fof(f1116,plain,
( e10 = op1(e10,e10)
| ~ sP94 ),
inference(cnf_transformation,[],[f295]) ).
fof(f3495,plain,
( ~ spl144_412
| ~ spl144_268 ),
inference(avatar_split_clause,[],[f1117,f2409,f3492]) ).
fof(f1117,plain,
( e10 != op1(e10,e10)
| ~ sP94 ),
inference(cnf_transformation,[],[f295]) ).
fof(f3488,plain,
( ~ spl144_411
| spl144_263 ),
inference(avatar_split_clause,[],[f1112,f2381,f3484]) ).
fof(f1112,plain,
( e10 = op1(e11,e11)
| ~ sP95 ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP95 ),
inference(nnf_transformation,[],[f118]) ).
fof(f3482,plain,
( ~ spl144_410
| spl144_261 ),
inference(avatar_split_clause,[],[f1106,f2372,f3476]) ).
fof(f1106,plain,
( e11 = op1(e11,e10)
| ~ sP96 ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP96 ),
inference(nnf_transformation,[],[f119]) ).
fof(f3480,plain,
( ~ spl144_410
| spl144_250 ),
inference(avatar_split_clause,[],[f1108,f2321,f3476]) ).
fof(f1108,plain,
( e10 = op1(e12,e12)
| ~ sP96 ),
inference(cnf_transformation,[],[f293]) ).
fof(f3479,plain,
( ~ spl144_410
| ~ spl144_241 ),
inference(avatar_split_clause,[],[f1109,f2282,f3476]) ).
fof(f1109,plain,
( e12 != op1(e12,e10)
| ~ sP96 ),
inference(cnf_transformation,[],[f293]) ).
fof(f3474,plain,
( ~ spl144_409
| spl144_261 ),
inference(avatar_split_clause,[],[f1102,f2372,f3468]) ).
fof(f1102,plain,
( e11 = op1(e11,e10)
| ~ sP97 ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP97 ),
inference(nnf_transformation,[],[f120]) ).
fof(f3471,plain,
( ~ spl144_409
| ~ spl144_209 ),
inference(avatar_split_clause,[],[f1105,f2144,f3468]) ).
fof(f1105,plain,
( e13 != op1(e13,e10)
| ~ sP97 ),
inference(cnf_transformation,[],[f292]) ).
fof(f3466,plain,
( ~ spl144_408
| spl144_260 ),
inference(avatar_split_clause,[],[f1098,f2367,f3460]) ).
fof(f1098,plain,
( e11 = op1(e11,e11)
| ~ sP98 ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP98 ),
inference(nnf_transformation,[],[f121]) ).
fof(f3458,plain,
( ~ spl144_407
| spl144_260 ),
inference(avatar_split_clause,[],[f1094,f2367,f3452]) ).
fof(f1094,plain,
( e11 = op1(e11,e11)
| ~ sP99 ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP99 ),
inference(nnf_transformation,[],[f122]) ).
fof(f3450,plain,
( ~ spl144_406
| spl144_260 ),
inference(avatar_split_clause,[],[f1090,f2367,f3444]) ).
fof(f1090,plain,
( e11 = op1(e11,e11)
| ~ sP100 ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP100 ),
inference(nnf_transformation,[],[f123]) ).
fof(f3442,plain,
( ~ spl144_405
| spl144_260 ),
inference(avatar_split_clause,[],[f1086,f2367,f3436]) ).
fof(f1086,plain,
( e11 = op1(e11,e11)
| ~ sP101 ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP101 ),
inference(nnf_transformation,[],[f124]) ).
fof(f3433,plain,
( ~ spl144_404
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f1083,f2353,f3428]) ).
fof(f1083,plain,
( e12 != op1(e11,e11)
| ~ sP102 ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP102 ),
inference(nnf_transformation,[],[f125]) ).
fof(f3425,plain,
( ~ spl144_403
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f1079,f2353,f3420]) ).
fof(f1079,plain,
( e12 != op1(e11,e11)
| ~ sP103 ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP103 ),
inference(nnf_transformation,[],[f126]) ).
fof(f3417,plain,
( ~ spl144_402
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f1075,f2353,f3412]) ).
fof(f1075,plain,
( e12 != op1(e11,e11)
| ~ sP104 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP104 ),
inference(nnf_transformation,[],[f127]) ).
fof(f3409,plain,
( ~ spl144_401
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f1071,f2353,f3404]) ).
fof(f1071,plain,
( e12 != op1(e11,e11)
| ~ sP105 ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP105 ),
inference(nnf_transformation,[],[f128]) ).
fof(f3402,plain,
( ~ spl144_400
| spl144_220 ),
inference(avatar_split_clause,[],[f1066,f2191,f3396]) ).
fof(f1066,plain,
( e11 = op1(e11,e13)
| ~ sP106 ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP106 ),
inference(nnf_transformation,[],[f129]) ).
fof(f3400,plain,
( ~ spl144_400
| spl144_265 ),
inference(avatar_split_clause,[],[f1068,f2391,f3396]) ).
fof(f1068,plain,
( op1(e10,e10) = e13
| ~ sP106 ),
inference(cnf_transformation,[],[f283]) ).
fof(f3399,plain,
( ~ spl144_400
| ~ spl144_226 ),
inference(avatar_split_clause,[],[f1069,f2217,f3396]) ).
fof(f1069,plain,
( e10 != op1(e10,e13)
| ~ sP106 ),
inference(cnf_transformation,[],[f283]) ).
fof(f3392,plain,
( ~ spl144_399
| spl144_254 ),
inference(avatar_split_clause,[],[f1064,f2339,f3388]) ).
fof(f1064,plain,
( e13 = op1(e11,e11)
| ~ sP107 ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP107 ),
inference(nnf_transformation,[],[f130]) ).
fof(f3386,plain,
( ~ spl144_398
| spl144_220 ),
inference(avatar_split_clause,[],[f1058,f2191,f3380]) ).
fof(f1058,plain,
( e11 = op1(e11,e13)
| ~ sP108 ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP108 ),
inference(nnf_transformation,[],[f131]) ).
fof(f3383,plain,
( ~ spl144_398
| ~ spl144_214 ),
inference(avatar_split_clause,[],[f1061,f2165,f3380]) ).
fof(f1061,plain,
( e12 != op1(e12,e13)
| ~ sP108 ),
inference(cnf_transformation,[],[f281]) ).
fof(f3376,plain,
( ~ spl144_397
| spl144_208 ),
inference(avatar_split_clause,[],[f1056,f2139,f3372]) ).
fof(f1056,plain,
( e13 = op1(e13,e13)
| ~ sP109 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP109 ),
inference(nnf_transformation,[],[f132]) ).
fof(f3370,plain,
( ~ spl144_396
| spl144_241 ),
inference(avatar_split_clause,[],[f1050,f2282,f3364]) ).
fof(f1050,plain,
( e12 = op1(e12,e10)
| ~ sP110 ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP110 ),
inference(nnf_transformation,[],[f133]) ).
fof(f3368,plain,
( ~ spl144_396
| spl144_268 ),
inference(avatar_split_clause,[],[f1052,f2409,f3364]) ).
fof(f1052,plain,
( e10 = op1(e10,e10)
| ~ sP110 ),
inference(cnf_transformation,[],[f279]) ).
fof(f3367,plain,
( ~ spl144_396
| ~ spl144_268 ),
inference(avatar_split_clause,[],[f1053,f2409,f3364]) ).
fof(f1053,plain,
( e10 != op1(e10,e10)
| ~ sP110 ),
inference(cnf_transformation,[],[f279]) ).
fof(f3360,plain,
( ~ spl144_395
| spl144_263 ),
inference(avatar_split_clause,[],[f1048,f2381,f3356]) ).
fof(f1048,plain,
( e10 = op1(e11,e11)
| ~ sP111 ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP111 ),
inference(nnf_transformation,[],[f134]) ).
fof(f3353,plain,
( ~ spl144_394
| ~ spl144_250 ),
inference(avatar_split_clause,[],[f1043,f2321,f3348]) ).
fof(f1043,plain,
( e10 != op1(e12,e12)
| ~ sP112 ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP112 ),
inference(nnf_transformation,[],[f135]) ).
fof(f3352,plain,
( ~ spl144_394
| spl144_250 ),
inference(avatar_split_clause,[],[f1044,f2321,f3348]) ).
fof(f1044,plain,
( e10 = op1(e12,e12)
| ~ sP112 ),
inference(cnf_transformation,[],[f277]) ).
fof(f3346,plain,
( ~ spl144_393
| spl144_241 ),
inference(avatar_split_clause,[],[f1038,f2282,f3340]) ).
fof(f1038,plain,
( e12 = op1(e12,e10)
| ~ sP113 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP113 ),
inference(nnf_transformation,[],[f136]) ).
fof(f3345,plain,
( ~ spl144_393
| ~ spl144_250 ),
inference(avatar_split_clause,[],[f1039,f2321,f3340]) ).
fof(f1039,plain,
( e10 != op1(e12,e12)
| ~ sP113 ),
inference(cnf_transformation,[],[f276]) ).
fof(f3338,plain,
( ~ spl144_392
| spl144_242 ),
inference(avatar_split_clause,[],[f1034,f2286,f3332]) ).
fof(f1034,plain,
( e12 = op1(e12,e11)
| ~ sP114 ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP114 ),
inference(nnf_transformation,[],[f137]) ).
fof(f3330,plain,
( ~ spl144_391
| spl144_242 ),
inference(avatar_split_clause,[],[f1030,f2286,f3324]) ).
fof(f1030,plain,
( e12 = op1(e12,e11)
| ~ sP115 ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP115 ),
inference(nnf_transformation,[],[f138]) ).
fof(f3322,plain,
( ~ spl144_390
| spl144_242 ),
inference(avatar_split_clause,[],[f1026,f2286,f3316]) ).
fof(f1026,plain,
( e12 = op1(e12,e11)
| ~ sP116 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP116 ),
inference(nnf_transformation,[],[f139]) ).
fof(f3314,plain,
( ~ spl144_389
| spl144_242 ),
inference(avatar_split_clause,[],[f1022,f2286,f3308]) ).
fof(f1022,plain,
( e12 = op1(e12,e11)
| ~ sP117 ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP117 ),
inference(nnf_transformation,[],[f140]) ).
fof(f3306,plain,
( ~ spl144_388
| spl144_240 ),
inference(avatar_split_clause,[],[f1018,f2277,f3300]) ).
fof(f1018,plain,
( e12 = op1(e12,e12)
| ~ sP118 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP118 ),
inference(nnf_transformation,[],[f141]) ).
fof(f3305,plain,
( ~ spl144_388
| ~ spl144_240 ),
inference(avatar_split_clause,[],[f1019,f2277,f3300]) ).
fof(f1019,plain,
( e12 != op1(e12,e12)
| ~ sP118 ),
inference(cnf_transformation,[],[f271]) ).
fof(f3298,plain,
( ~ spl144_387
| spl144_240 ),
inference(avatar_split_clause,[],[f1014,f2277,f3292]) ).
fof(f1014,plain,
( e12 = op1(e12,e12)
| ~ sP119 ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP119 ),
inference(nnf_transformation,[],[f142]) ).
fof(f3297,plain,
( ~ spl144_387
| ~ spl144_240 ),
inference(avatar_split_clause,[],[f1015,f2277,f3292]) ).
fof(f1015,plain,
( e12 != op1(e12,e12)
| ~ sP119 ),
inference(cnf_transformation,[],[f270]) ).
fof(f3295,plain,
( ~ spl144_387
| ~ spl144_244 ),
inference(avatar_split_clause,[],[f1017,f2295,f3292]) ).
fof(f1017,plain,
( e11 != op1(e11,e12)
| ~ sP119 ),
inference(cnf_transformation,[],[f270]) ).
fof(f3290,plain,
( ~ spl144_386
| spl144_240 ),
inference(avatar_split_clause,[],[f1010,f2277,f3284]) ).
fof(f1010,plain,
( e12 = op1(e12,e12)
| ~ sP120 ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP120 ),
inference(nnf_transformation,[],[f143]) ).
fof(f3289,plain,
( ~ spl144_386
| ~ spl144_240 ),
inference(avatar_split_clause,[],[f1011,f2277,f3284]) ).
fof(f1011,plain,
( e12 != op1(e12,e12)
| ~ sP120 ),
inference(cnf_transformation,[],[f269]) ).
fof(f3280,plain,
( ~ spl144_385
| spl144_215 ),
inference(avatar_split_clause,[],[f1008,f2169,f3276]) ).
fof(f1008,plain,
( e12 = op1(e13,e13)
| ~ sP121 ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP121 ),
inference(nnf_transformation,[],[f144]) ).
fof(f3274,plain,
( ~ spl144_384
| spl144_214 ),
inference(avatar_split_clause,[],[f1002,f2165,f3268]) ).
fof(f1002,plain,
( e12 = op1(e12,e13)
| ~ sP122 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP122 ),
inference(nnf_transformation,[],[f145]) ).
fof(f3272,plain,
( ~ spl144_384
| spl144_265 ),
inference(avatar_split_clause,[],[f1004,f2391,f3268]) ).
fof(f1004,plain,
( op1(e10,e10) = e13
| ~ sP122 ),
inference(cnf_transformation,[],[f267]) ).
fof(f3271,plain,
( ~ spl144_384
| ~ spl144_226 ),
inference(avatar_split_clause,[],[f1005,f2217,f3268]) ).
fof(f1005,plain,
( e10 != op1(e10,e13)
| ~ sP122 ),
inference(cnf_transformation,[],[f267]) ).
fof(f3264,plain,
( ~ spl144_383
| spl144_254 ),
inference(avatar_split_clause,[],[f1000,f2339,f3260]) ).
fof(f1000,plain,
( e13 = op1(e11,e11)
| ~ sP123 ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP123 ),
inference(nnf_transformation,[],[f146]) ).
fof(f3257,plain,
( ~ spl144_382
| ~ spl144_235 ),
inference(avatar_split_clause,[],[f995,f2255,f3252]) ).
fof(f995,plain,
( e13 != op1(e12,e12)
| ~ sP124 ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP124 ),
inference(nnf_transformation,[],[f147]) ).
fof(f3256,plain,
( ~ spl144_382
| spl144_235 ),
inference(avatar_split_clause,[],[f996,f2255,f3252]) ).
fof(f996,plain,
( e13 = op1(e12,e12)
| ~ sP124 ),
inference(cnf_transformation,[],[f265]) ).
fof(f3248,plain,
( ~ spl144_381
| spl144_208 ),
inference(avatar_split_clause,[],[f992,f2139,f3244]) ).
fof(f992,plain,
( e13 = op1(e13,e13)
| ~ sP125 ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP125 ),
inference(nnf_transformation,[],[f148]) ).
fof(f3241,plain,
( ~ spl144_380
| ~ spl144_229 ),
inference(avatar_split_clause,[],[f987,f2229,f3236]) ).
fof(f987,plain,
( e10 != op1(e13,e13)
| ~ sP126 ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP126 ),
inference(nnf_transformation,[],[f149]) ).
fof(f3233,plain,
( ~ spl144_379
| ~ spl144_229 ),
inference(avatar_split_clause,[],[f983,f2229,f3228]) ).
fof(f983,plain,
( e10 != op1(e13,e13)
| ~ sP127 ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP127 ),
inference(nnf_transformation,[],[f150]) ).
fof(f3225,plain,
( ~ spl144_378
| ~ spl144_229 ),
inference(avatar_split_clause,[],[f979,f2229,f3220]) ).
fof(f979,plain,
( e10 != op1(e13,e13)
| ~ sP128 ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP128 ),
inference(nnf_transformation,[],[f151]) ).
fof(f3217,plain,
( ~ spl144_377
| ~ spl144_229 ),
inference(avatar_split_clause,[],[f975,f2229,f3212]) ).
fof(f975,plain,
( e10 != op1(e13,e13)
| ~ sP129 ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP129 ),
inference(nnf_transformation,[],[f152]) ).
fof(f3210,plain,
( ~ spl144_376
| spl144_210 ),
inference(avatar_split_clause,[],[f970,f2148,f3204]) ).
fof(f970,plain,
( e13 = op1(e13,e11)
| ~ sP130 ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP130 ),
inference(nnf_transformation,[],[f153]) ).
fof(f3200,plain,
( ~ spl144_375
| spl144_260 ),
inference(avatar_split_clause,[],[f968,f2367,f3196]) ).
fof(f968,plain,
( e11 = op1(e11,e11)
| ~ sP131 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP131 ),
inference(nnf_transformation,[],[f154]) ).
fof(f3194,plain,
( ~ spl144_374
| spl144_210 ),
inference(avatar_split_clause,[],[f962,f2148,f3188]) ).
fof(f962,plain,
( e13 = op1(e13,e11)
| ~ sP132 ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP132 ),
inference(nnf_transformation,[],[f155]) ).
fof(f3184,plain,
( ~ spl144_373
| spl144_222 ),
inference(avatar_split_clause,[],[f960,f2199,f3180]) ).
fof(f960,plain,
( e11 = op1(e13,e13)
| ~ sP133 ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP133 ),
inference(nnf_transformation,[],[f156]) ).
fof(f3178,plain,
( ~ spl144_372
| spl144_211 ),
inference(avatar_split_clause,[],[f954,f2152,f3172]) ).
fof(f954,plain,
( e13 = op1(e13,e12)
| ~ sP134 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP134 ),
inference(nnf_transformation,[],[f157]) ).
fof(f3176,plain,
( ~ spl144_372
| spl144_266 ),
inference(avatar_split_clause,[],[f956,f2397,f3172]) ).
fof(f956,plain,
( op1(e10,e10) = e12
| ~ sP134 ),
inference(cnf_transformation,[],[f255]) ).
fof(f3175,plain,
( ~ spl144_372
| ~ spl144_248 ),
inference(avatar_split_clause,[],[f957,f2313,f3172]) ).
fof(f957,plain,
( e10 != op1(e10,e12)
| ~ sP134 ),
inference(cnf_transformation,[],[f255]) ).
fof(f3170,plain,
( ~ spl144_371
| spl144_211 ),
inference(avatar_split_clause,[],[f950,f2152,f3164]) ).
fof(f950,plain,
( e13 = op1(e13,e12)
| ~ sP135 ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP135 ),
inference(nnf_transformation,[],[f158]) ).
fof(f3167,plain,
( ~ spl144_371
| ~ spl144_244 ),
inference(avatar_split_clause,[],[f953,f2295,f3164]) ).
fof(f953,plain,
( e11 != op1(e11,e12)
| ~ sP135 ),
inference(cnf_transformation,[],[f254]) ).
fof(f3160,plain,
( ~ spl144_370
| spl144_240 ),
inference(avatar_split_clause,[],[f948,f2277,f3156]) ).
fof(f948,plain,
( e12 = op1(e12,e12)
| ~ sP136 ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP136 ),
inference(nnf_transformation,[],[f159]) ).
fof(f3159,plain,
( ~ spl144_370
| ~ spl144_240 ),
inference(avatar_split_clause,[],[f949,f2277,f3156]) ).
fof(f949,plain,
( e12 != op1(e12,e12)
| ~ sP136 ),
inference(cnf_transformation,[],[f253]) ).
fof(f3152,plain,
( ~ spl144_369
| spl144_215 ),
inference(avatar_split_clause,[],[f944,f2169,f3148]) ).
fof(f944,plain,
( e12 = op1(e13,e13)
| ~ sP137 ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP137 ),
inference(nnf_transformation,[],[f160]) ).
fof(f3146,plain,
( ~ spl144_368
| spl144_208 ),
inference(avatar_split_clause,[],[f938,f2139,f3140]) ).
fof(f938,plain,
( e13 = op1(e13,e13)
| ~ sP138 ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP138 ),
inference(nnf_transformation,[],[f161]) ).
fof(f3138,plain,
( ~ spl144_367
| spl144_208 ),
inference(avatar_split_clause,[],[f934,f2139,f3132]) ).
fof(f934,plain,
( e13 = op1(e13,e13)
| ~ sP139 ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP139 ),
inference(nnf_transformation,[],[f162]) ).
fof(f3130,plain,
( ~ spl144_366
| spl144_208 ),
inference(avatar_split_clause,[],[f930,f2139,f3124]) ).
fof(f930,plain,
( e13 = op1(e13,e13)
| ~ sP140 ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP140 ),
inference(nnf_transformation,[],[f163]) ).
fof(f3112,plain,
( ~ spl144_361
| spl144_363 ),
inference(avatar_split_clause,[],[f924,f3109,f3097]) ).
fof(f924,plain,
( e12 = op1(e10,op1(e10,e12))
| ~ sP141 ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) )
| ~ sP141 ),
inference(nnf_transformation,[],[f164]) ).
fof(f3107,plain,
( ~ spl144_361
| spl144_362 ),
inference(avatar_split_clause,[],[f925,f3104,f3097]) ).
fof(f925,plain,
( e13 = op1(e10,op1(e10,e13))
| ~ sP141 ),
inference(cnf_transformation,[],[f248]) ).
fof(f3102,plain,
( ~ spl144_361
| ~ spl144_261
| spl144_263 ),
inference(avatar_split_clause,[],[f927,f2381,f2372,f3097]) ).
fof(f927,plain,
( e10 = op1(e11,e11)
| e11 != op1(e11,e10)
| ~ sP141 ),
inference(cnf_transformation,[],[f248]) ).
fof(f3101,plain,
( ~ spl144_361
| ~ spl144_241
| spl144_250 ),
inference(avatar_split_clause,[],[f928,f2321,f2282,f3097]) ).
fof(f928,plain,
( e10 = op1(e12,e12)
| e12 != op1(e12,e10)
| ~ sP141 ),
inference(cnf_transformation,[],[f248]) ).
fof(f3090,plain,
( ~ spl144_356
| spl144_359 ),
inference(avatar_split_clause,[],[f915,f3087,f3070]) ).
fof(f915,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ sP142 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ~ sP142 ),
inference(nnf_transformation,[],[f165]) ).
fof(f3075,plain,
( ~ spl144_356
| ~ spl144_262
| spl144_267 ),
inference(avatar_split_clause,[],[f918,f2403,f2377,f3070]) ).
fof(f918,plain,
( op1(e10,e10) = e11
| e10 != op1(e10,e11)
| ~ sP142 ),
inference(cnf_transformation,[],[f247]) ).
fof(f3063,plain,
( ~ spl144_351
| spl144_354 ),
inference(avatar_split_clause,[],[f907,f3060,f3043]) ).
fof(f907,plain,
( e11 = op1(e12,op1(e12,e11))
| ~ sP143 ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ~ sP143 ),
inference(nnf_transformation,[],[f166]) ).
fof(f3058,plain,
( ~ spl144_351
| spl144_353 ),
inference(avatar_split_clause,[],[f908,f3055,f3043]) ).
fof(f908,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ sP143 ),
inference(cnf_transformation,[],[f246]) ).
fof(f3046,plain,
( ~ spl144_351
| ~ spl144_211
| spl144_215 ),
inference(avatar_split_clause,[],[f913,f2169,f2152,f3043]) ).
fof(f913,plain,
( e12 = op1(e13,e13)
| e13 != op1(e13,e12)
| ~ sP143 ),
inference(cnf_transformation,[],[f246]) ).
fof(f3041,plain,
( spl144_346
| spl144_345
| spl144_344
| spl144_343
| spl144_342
| spl144_341
| spl144_340
| spl144_339
| spl144_338
| spl144_337
| spl144_336
| spl144_335
| spl144_334
| spl144_333
| spl144_332
| spl144_331
| spl144_330
| spl144_329
| spl144_328
| spl144_327
| spl144_326
| spl144_325
| spl144_324
| spl144_323
| spl144_322
| spl144_321
| spl144_320
| spl144_319
| spl144_318
| spl144_317
| spl144_316
| spl144_315
| spl144_314
| spl144_313
| spl144_312
| spl144_311
| spl144_310
| spl144_309
| spl144_308
| spl144_307
| spl144_306
| spl144_305
| spl144_304
| spl144_303
| spl144_302
| spl144_301
| spl144_300
| spl144_299
| spl144_298
| spl144_297
| spl144_296
| spl144_295
| spl144_294
| spl144_293
| spl144_292
| spl144_291
| spl144_290
| spl144_289
| spl144_288
| spl144_287
| spl144_286
| spl144_285
| spl144_284
| spl144_144 ),
inference(avatar_split_clause,[],[f894,f1835,f2512,f2520,f2528,f2536,f2544,f2552,f2560,f2568,f2576,f2584,f2592,f2600,f2608,f2616,f2624,f2632,f2640,f2648,f2656,f2664,f2672,f2680,f2688,f2696,f2704,f2712,f2720,f2728,f2736,f2744,f2752,f2760,f2768,f2776,f2784,f2792,f2800,f2808,f2816,f2824,f2832,f2840,f2848,f2856,f2864,f2872,f2880,f2888,f2896,f2904,f2912,f2920,f2928,f2936,f2944,f2952,f2960,f2968,f2976,f2984,f2992,f3000,f3008]) ).
fof(f3008,plain,
( spl144_346
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_346])]) ).
fof(f3000,plain,
( spl144_345
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_345])]) ).
fof(f2992,plain,
( spl144_344
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_344])]) ).
fof(f2984,plain,
( spl144_343
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_343])]) ).
fof(f2976,plain,
( spl144_342
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_342])]) ).
fof(f2968,plain,
( spl144_341
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_341])]) ).
fof(f2960,plain,
( spl144_340
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_340])]) ).
fof(f2952,plain,
( spl144_339
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_339])]) ).
fof(f2944,plain,
( spl144_338
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_338])]) ).
fof(f2936,plain,
( spl144_337
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_337])]) ).
fof(f2928,plain,
( spl144_336
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_336])]) ).
fof(f2920,plain,
( spl144_335
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_335])]) ).
fof(f2912,plain,
( spl144_334
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_334])]) ).
fof(f2904,plain,
( spl144_333
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_333])]) ).
fof(f2896,plain,
( spl144_332
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_332])]) ).
fof(f2888,plain,
( spl144_331
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_331])]) ).
fof(f2880,plain,
( spl144_330
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_330])]) ).
fof(f2872,plain,
( spl144_329
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_329])]) ).
fof(f2864,plain,
( spl144_328
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_328])]) ).
fof(f2856,plain,
( spl144_327
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_327])]) ).
fof(f2848,plain,
( spl144_326
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_326])]) ).
fof(f2840,plain,
( spl144_325
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_325])]) ).
fof(f2832,plain,
( spl144_324
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_324])]) ).
fof(f2824,plain,
( spl144_323
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_323])]) ).
fof(f2816,plain,
( spl144_322
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_322])]) ).
fof(f2808,plain,
( spl144_321
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_321])]) ).
fof(f2800,plain,
( spl144_320
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_320])]) ).
fof(f2792,plain,
( spl144_319
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_319])]) ).
fof(f2784,plain,
( spl144_318
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_318])]) ).
fof(f2776,plain,
( spl144_317
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_317])]) ).
fof(f2768,plain,
( spl144_316
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_316])]) ).
fof(f2760,plain,
( spl144_315
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_315])]) ).
fof(f2752,plain,
( spl144_314
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_314])]) ).
fof(f2744,plain,
( spl144_313
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_313])]) ).
fof(f2736,plain,
( spl144_312
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_312])]) ).
fof(f2728,plain,
( spl144_311
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_311])]) ).
fof(f2720,plain,
( spl144_310
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_310])]) ).
fof(f2712,plain,
( spl144_309
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_309])]) ).
fof(f2704,plain,
( spl144_308
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_308])]) ).
fof(f2696,plain,
( spl144_307
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_307])]) ).
fof(f2688,plain,
( spl144_306
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_306])]) ).
fof(f2680,plain,
( spl144_305
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_305])]) ).
fof(f2672,plain,
( spl144_304
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_304])]) ).
fof(f2664,plain,
( spl144_303
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_303])]) ).
fof(f2656,plain,
( spl144_302
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_302])]) ).
fof(f2648,plain,
( spl144_301
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_301])]) ).
fof(f2640,plain,
( spl144_300
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_300])]) ).
fof(f2632,plain,
( spl144_299
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_299])]) ).
fof(f2624,plain,
( spl144_298
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_298])]) ).
fof(f2616,plain,
( spl144_297
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_297])]) ).
fof(f2608,plain,
( spl144_296
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_296])]) ).
fof(f2600,plain,
( spl144_295
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_295])]) ).
fof(f2592,plain,
( spl144_294
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_294])]) ).
fof(f2584,plain,
( spl144_293
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_293])]) ).
fof(f2576,plain,
( spl144_292
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_292])]) ).
fof(f2568,plain,
( spl144_291
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_291])]) ).
fof(f2560,plain,
( spl144_290
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_290])]) ).
fof(f2552,plain,
( spl144_289
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_289])]) ).
fof(f2544,plain,
( spl144_288
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_288])]) ).
fof(f2536,plain,
( spl144_287
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_287])]) ).
fof(f2528,plain,
( spl144_286
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_286])]) ).
fof(f2520,plain,
( spl144_285
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_285])]) ).
fof(f2512,plain,
( spl144_284
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_284])]) ).
fof(f894,plain,
( e23 = op2(e23,e23)
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,op2(e23,e23))
& e22 = op2(e23,op2(e23,e22))
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20)) )
| sP77
| sP76
| sP75 )
& ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ) ),
inference(definition_folding,[],[f11,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f51,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f52,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f53,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f54,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f55,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f56,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f57,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f58,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f59,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f60,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f61,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f62,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f63,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f64,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f65,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f66,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f67,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f68,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f69,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f70,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f71,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f72,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f73,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f74,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f75,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f76,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f77,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f78,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f79,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f80,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f81,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f82,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f83,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f84,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f85,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f86,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f87,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f88,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f89,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f90,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f91,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f94,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f95,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f96,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f97,plain,
( ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f98,plain,
( ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f99,plain,
( ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f11,axiom,
( ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,op2(e23,e23))
& e22 = op2(e23,op2(e23,e22))
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20)) )
| ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) ) )
& ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3037,plain,
( spl144_279
| spl144_274
| spl144_269
| spl144_350 ),
inference(avatar_split_clause,[],[f898,f3034,f2431,f2458,f2485]) ).
fof(f2485,plain,
( spl144_279
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_279])]) ).
fof(f2458,plain,
( spl144_274
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_274])]) ).
fof(f2431,plain,
( spl144_269
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_269])]) ).
fof(f898,plain,
( e20 = op2(e23,op2(e23,e20))
| sP77
| sP76
| sP75 ),
inference(cnf_transformation,[],[f100]) ).
fof(f3015,plain,
( spl144_279
| spl144_274
| spl144_269
| ~ spl144_150
| spl144_171 ),
inference(avatar_split_clause,[],[f904,f1951,f1861,f2431,f2458,f2485]) ).
fof(f904,plain,
( e23 = op2(e22,e22)
| e22 != op2(e22,e23)
| sP77
| sP76
| sP75 ),
inference(cnf_transformation,[],[f100]) ).
fof(f3014,plain,
( ~ spl144_346
| spl144_204 ),
inference(avatar_split_clause,[],[f890,f2105,f3008]) ).
fof(f890,plain,
( e20 = op2(e20,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f3004,plain,
( ~ spl144_345
| spl144_199 ),
inference(avatar_split_clause,[],[f888,f2077,f3000]) ).
fof(f888,plain,
( e20 = op2(e21,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f2998,plain,
( ~ spl144_344
| spl144_204 ),
inference(avatar_split_clause,[],[f882,f2105,f2992]) ).
fof(f882,plain,
( e20 = op2(e20,e20)
| ~ sP14 ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f2995,plain,
( ~ spl144_344
| ~ spl144_177 ),
inference(avatar_split_clause,[],[f885,f1978,f2992]) ).
fof(f885,plain,
( e22 != op2(e22,e20)
| ~ sP14 ),
inference(cnf_transformation,[],[f243]) ).
fof(f2987,plain,
( ~ spl144_343
| ~ spl144_145 ),
inference(avatar_split_clause,[],[f881,f1840,f2984]) ).
fof(f881,plain,
( e23 != op2(e23,e20)
| ~ sP15 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f2981,plain,
( ~ spl144_342
| ~ spl144_203 ),
inference(avatar_split_clause,[],[f875,f2099,f2976]) ).
fof(f875,plain,
( op2(e20,e20) != e21
| ~ sP16 ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f2979,plain,
( ~ spl144_342
| ~ spl144_198 ),
inference(avatar_split_clause,[],[f877,f2073,f2976]) ).
fof(f877,plain,
( e20 != op2(e20,e21)
| ~ sP16 ),
inference(cnf_transformation,[],[f241]) ).
fof(f2972,plain,
( ~ spl144_341
| spl144_196 ),
inference(avatar_split_clause,[],[f872,f2063,f2968]) ).
fof(f872,plain,
( e21 = op2(e21,e21)
| ~ sP17 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f2965,plain,
( ~ spl144_340
| ~ spl144_203 ),
inference(avatar_split_clause,[],[f867,f2099,f2960]) ).
fof(f867,plain,
( op2(e20,e20) != e21
| ~ sP18 ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f2956,plain,
( ~ spl144_339
| spl144_158 ),
inference(avatar_split_clause,[],[f864,f1895,f2952]) ).
fof(f864,plain,
( e21 = op2(e23,e23)
| ~ sP19 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f2948,plain,
( ~ spl144_338
| spl144_202 ),
inference(avatar_split_clause,[],[f860,f2093,f2944]) ).
fof(f860,plain,
( op2(e20,e20) = e22
| ~ sP20 ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f2942,plain,
( ~ spl144_337
| spl144_184 ),
inference(avatar_split_clause,[],[f854,f2009,f2936]) ).
fof(f854,plain,
( e20 = op2(e20,e22)
| ~ sP21 ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f2939,plain,
( ~ spl144_337
| ~ spl144_180 ),
inference(avatar_split_clause,[],[f857,f1991,f2936]) ).
fof(f857,plain,
( e21 != op2(e21,e22)
| ~ sP21 ),
inference(cnf_transformation,[],[f236]) ).
fof(f2932,plain,
( ~ spl144_336
| spl144_176 ),
inference(avatar_split_clause,[],[f852,f1973,f2928]) ).
fof(f852,plain,
( e22 = op2(e22,e22)
| ~ sP22 ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f2924,plain,
( ~ spl144_335
| spl144_151 ),
inference(avatar_split_clause,[],[f848,f1865,f2920]) ).
fof(f848,plain,
( e22 = op2(e23,e23)
| ~ sP23 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f2918,plain,
( ~ spl144_334
| spl144_162 ),
inference(avatar_split_clause,[],[f842,f1913,f2912]) ).
fof(f842,plain,
( e20 = op2(e20,e23)
| ~ sP24 ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2916,plain,
( ~ spl144_334
| spl144_201 ),
inference(avatar_split_clause,[],[f844,f2087,f2912]) ).
fof(f844,plain,
( op2(e20,e20) = e23
| ~ sP24 ),
inference(cnf_transformation,[],[f233]) ).
fof(f2908,plain,
( ~ spl144_333
| spl144_190 ),
inference(avatar_split_clause,[],[f840,f2035,f2904]) ).
fof(f840,plain,
( e23 = op2(e21,e21)
| ~ sP25 ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2902,plain,
( ~ spl144_332
| spl144_162 ),
inference(avatar_split_clause,[],[f834,f1913,f2896]) ).
fof(f834,plain,
( e20 = op2(e20,e23)
| ~ sP26 ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2892,plain,
( ~ spl144_331
| spl144_144 ),
inference(avatar_split_clause,[],[f832,f1835,f2888]) ).
fof(f832,plain,
( e23 = op2(e23,e23)
| ~ sP27 ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f2886,plain,
( ~ spl144_330
| spl144_197 ),
inference(avatar_split_clause,[],[f826,f2068,f2880]) ).
fof(f826,plain,
( e21 = op2(e21,e20)
| ~ sP28 ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2876,plain,
( ~ spl144_329
| spl144_199 ),
inference(avatar_split_clause,[],[f824,f2077,f2872]) ).
fof(f824,plain,
( e20 = op2(e21,e21)
| ~ sP29 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2870,plain,
( ~ spl144_328
| spl144_197 ),
inference(avatar_split_clause,[],[f818,f2068,f2864]) ).
fof(f818,plain,
( e21 = op2(e21,e20)
| ~ sP30 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2862,plain,
( ~ spl144_327
| spl144_197 ),
inference(avatar_split_clause,[],[f814,f2068,f2856]) ).
fof(f814,plain,
( e21 = op2(e21,e20)
| ~ sP31 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f2854,plain,
( ~ spl144_326
| spl144_196 ),
inference(avatar_split_clause,[],[f810,f2063,f2848]) ).
fof(f810,plain,
( e21 = op2(e21,e21)
| ~ sP32 ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2846,plain,
( ~ spl144_325
| spl144_196 ),
inference(avatar_split_clause,[],[f806,f2063,f2840]) ).
fof(f806,plain,
( e21 = op2(e21,e21)
| ~ sP33 ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f2838,plain,
( ~ spl144_324
| spl144_196 ),
inference(avatar_split_clause,[],[f802,f2063,f2832]) ).
fof(f802,plain,
( e21 = op2(e21,e21)
| ~ sP34 ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2830,plain,
( ~ spl144_323
| spl144_196 ),
inference(avatar_split_clause,[],[f798,f2063,f2824]) ).
fof(f798,plain,
( e21 = op2(e21,e21)
| ~ sP35 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f2821,plain,
( ~ spl144_322
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f795,f2049,f2816]) ).
fof(f795,plain,
( e22 != op2(e21,e21)
| ~ sP36 ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP36 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2813,plain,
( ~ spl144_321
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f791,f2049,f2808]) ).
fof(f791,plain,
( e22 != op2(e21,e21)
| ~ sP37 ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP37 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2805,plain,
( ~ spl144_320
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f787,f2049,f2800]) ).
fof(f787,plain,
( e22 != op2(e21,e21)
| ~ sP38 ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP38 ),
inference(nnf_transformation,[],[f60]) ).
fof(f2797,plain,
( ~ spl144_319
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f783,f2049,f2792]) ).
fof(f783,plain,
( e22 != op2(e21,e21)
| ~ sP39 ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP39 ),
inference(nnf_transformation,[],[f61]) ).
fof(f2788,plain,
( ~ spl144_318
| spl144_201 ),
inference(avatar_split_clause,[],[f780,f2087,f2784]) ).
fof(f780,plain,
( op2(e20,e20) = e23
| ~ sP40 ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP40 ),
inference(nnf_transformation,[],[f62]) ).
fof(f2780,plain,
( ~ spl144_317
| spl144_190 ),
inference(avatar_split_clause,[],[f776,f2035,f2776]) ).
fof(f776,plain,
( e23 = op2(e21,e21)
| ~ sP41 ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP41 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2772,plain,
( ~ spl144_316
| spl144_171 ),
inference(avatar_split_clause,[],[f772,f1951,f2768]) ).
fof(f772,plain,
( e23 = op2(e22,e22)
| ~ sP42 ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP42 ),
inference(nnf_transformation,[],[f64]) ).
fof(f2764,plain,
( ~ spl144_315
| spl144_144 ),
inference(avatar_split_clause,[],[f768,f1835,f2760]) ).
fof(f768,plain,
( e23 = op2(e23,e23)
| ~ sP43 ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP43 ),
inference(nnf_transformation,[],[f65]) ).
fof(f2757,plain,
( ~ spl144_314
| ~ spl144_186 ),
inference(avatar_split_clause,[],[f763,f2017,f2752]) ).
fof(f763,plain,
( e20 != op2(e22,e22)
| ~ sP44 ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP44 ),
inference(nnf_transformation,[],[f66]) ).
fof(f2756,plain,
( ~ spl144_314
| spl144_204 ),
inference(avatar_split_clause,[],[f764,f2105,f2752]) ).
fof(f764,plain,
( e20 = op2(e20,e20)
| ~ sP44 ),
inference(cnf_transformation,[],[f213]) ).
fof(f2748,plain,
( ~ spl144_313
| spl144_199 ),
inference(avatar_split_clause,[],[f760,f2077,f2744]) ).
fof(f760,plain,
( e20 = op2(e21,e21)
| ~ sP45 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP45 ),
inference(nnf_transformation,[],[f67]) ).
fof(f2739,plain,
( ~ spl144_312
| ~ spl144_177 ),
inference(avatar_split_clause,[],[f757,f1978,f2736]) ).
fof(f757,plain,
( e22 != op2(e22,e20)
| ~ sP46 ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP46 ),
inference(nnf_transformation,[],[f68]) ).
fof(f2731,plain,
( ~ spl144_311
| ~ spl144_145 ),
inference(avatar_split_clause,[],[f753,f1840,f2728]) ).
fof(f753,plain,
( e23 != op2(e23,e20)
| ~ sP47 ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP47 ),
inference(nnf_transformation,[],[f69]) ).
fof(f2726,plain,
( ~ spl144_310
| spl144_178 ),
inference(avatar_split_clause,[],[f746,f1982,f2720]) ).
fof(f746,plain,
( e22 = op2(e22,e21)
| ~ sP48 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP48 ),
inference(nnf_transformation,[],[f70]) ).
fof(f2718,plain,
( ~ spl144_309
| spl144_178 ),
inference(avatar_split_clause,[],[f742,f1982,f2712]) ).
fof(f742,plain,
( e22 = op2(e22,e21)
| ~ sP49 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP49 ),
inference(nnf_transformation,[],[f71]) ).
fof(f2710,plain,
( ~ spl144_308
| spl144_178 ),
inference(avatar_split_clause,[],[f738,f1982,f2704]) ).
fof(f738,plain,
( e22 = op2(e22,e21)
| ~ sP50 ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP50 ),
inference(nnf_transformation,[],[f72]) ).
fof(f2702,plain,
( ~ spl144_307
| spl144_178 ),
inference(avatar_split_clause,[],[f734,f1982,f2696]) ).
fof(f734,plain,
( e22 = op2(e22,e21)
| ~ sP51 ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP51 ),
inference(nnf_transformation,[],[f73]) ).
fof(f2694,plain,
( ~ spl144_306
| spl144_176 ),
inference(avatar_split_clause,[],[f730,f1973,f2688]) ).
fof(f730,plain,
( e22 = op2(e22,e22)
| ~ sP52 ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP52 ),
inference(nnf_transformation,[],[f74]) ).
fof(f2686,plain,
( ~ spl144_305
| spl144_176 ),
inference(avatar_split_clause,[],[f726,f1973,f2680]) ).
fof(f726,plain,
( e22 = op2(e22,e22)
| ~ sP53 ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP53 ),
inference(nnf_transformation,[],[f75]) ).
fof(f2678,plain,
( ~ spl144_304
| spl144_176 ),
inference(avatar_split_clause,[],[f722,f1973,f2672]) ).
fof(f722,plain,
( e22 = op2(e22,e22)
| ~ sP54 ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP54 ),
inference(nnf_transformation,[],[f76]) ).
fof(f2668,plain,
( ~ spl144_303
| spl144_151 ),
inference(avatar_split_clause,[],[f720,f1865,f2664]) ).
fof(f720,plain,
( e22 = op2(e23,e23)
| ~ sP55 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP55 ),
inference(nnf_transformation,[],[f77]) ).
fof(f2660,plain,
( ~ spl144_302
| spl144_201 ),
inference(avatar_split_clause,[],[f716,f2087,f2656]) ).
fof(f716,plain,
( op2(e20,e20) = e23
| ~ sP56 ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP56 ),
inference(nnf_transformation,[],[f78]) ).
fof(f2652,plain,
( ~ spl144_301
| spl144_190 ),
inference(avatar_split_clause,[],[f712,f2035,f2648]) ).
fof(f712,plain,
( e23 = op2(e21,e21)
| ~ sP57 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP57 ),
inference(nnf_transformation,[],[f79]) ).
fof(f2644,plain,
( ~ spl144_300
| spl144_171 ),
inference(avatar_split_clause,[],[f708,f1951,f2640]) ).
fof(f708,plain,
( e23 = op2(e22,e22)
| ~ sP58 ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP58 ),
inference(nnf_transformation,[],[f80]) ).
fof(f2636,plain,
( ~ spl144_299
| spl144_144 ),
inference(avatar_split_clause,[],[f704,f1835,f2632]) ).
fof(f704,plain,
( e23 = op2(e23,e23)
| ~ sP59 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP59 ),
inference(nnf_transformation,[],[f81]) ).
fof(f2629,plain,
( ~ spl144_298
| ~ spl144_165 ),
inference(avatar_split_clause,[],[f699,f1925,f2624]) ).
fof(f699,plain,
( e20 != op2(e23,e23)
| ~ sP60 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP60 ),
inference(nnf_transformation,[],[f82]) ).
fof(f2621,plain,
( ~ spl144_297
| ~ spl144_165 ),
inference(avatar_split_clause,[],[f695,f1925,f2616]) ).
fof(f695,plain,
( e20 != op2(e23,e23)
| ~ sP61 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP61 ),
inference(nnf_transformation,[],[f83]) ).
fof(f2613,plain,
( ~ spl144_296
| ~ spl144_165 ),
inference(avatar_split_clause,[],[f691,f1925,f2608]) ).
fof(f691,plain,
( e20 != op2(e23,e23)
| ~ sP62 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP62 ),
inference(nnf_transformation,[],[f84]) ).
fof(f2605,plain,
( ~ spl144_295
| ~ spl144_165 ),
inference(avatar_split_clause,[],[f687,f1925,f2600]) ).
fof(f687,plain,
( e20 != op2(e23,e23)
| ~ sP63 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP63 ),
inference(nnf_transformation,[],[f85]) ).
fof(f2598,plain,
( ~ spl144_294
| spl144_146 ),
inference(avatar_split_clause,[],[f682,f1844,f2592]) ).
fof(f682,plain,
( e23 = op2(e23,e21)
| ~ sP64 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP64 ),
inference(nnf_transformation,[],[f86]) ).
fof(f2588,plain,
( ~ spl144_293
| spl144_196 ),
inference(avatar_split_clause,[],[f680,f2063,f2584]) ).
fof(f680,plain,
( e21 = op2(e21,e21)
| ~ sP65 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP65 ),
inference(nnf_transformation,[],[f87]) ).
fof(f2582,plain,
( ~ spl144_292
| spl144_146 ),
inference(avatar_split_clause,[],[f674,f1844,f2576]) ).
fof(f674,plain,
( e23 = op2(e23,e21)
| ~ sP66 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP66 ),
inference(nnf_transformation,[],[f88]) ).
fof(f2572,plain,
( ~ spl144_291
| spl144_158 ),
inference(avatar_split_clause,[],[f672,f1895,f2568]) ).
fof(f672,plain,
( e21 = op2(e23,e23)
| ~ sP67 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP67 ),
inference(nnf_transformation,[],[f89]) ).
fof(f2566,plain,
( ~ spl144_290
| spl144_147 ),
inference(avatar_split_clause,[],[f666,f1848,f2560]) ).
fof(f666,plain,
( e23 = op2(e23,e22)
| ~ sP68 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP68 ),
inference(nnf_transformation,[],[f90]) ).
fof(f2558,plain,
( ~ spl144_289
| spl144_147 ),
inference(avatar_split_clause,[],[f662,f1848,f2552]) ).
fof(f662,plain,
( e23 = op2(e23,e22)
| ~ sP69 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP69 ),
inference(nnf_transformation,[],[f91]) ).
fof(f2548,plain,
( ~ spl144_288
| spl144_176 ),
inference(avatar_split_clause,[],[f660,f1973,f2544]) ).
fof(f660,plain,
( e22 = op2(e22,e22)
| ~ sP70 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP70 ),
inference(nnf_transformation,[],[f92]) ).
fof(f2547,plain,
( ~ spl144_288
| ~ spl144_176 ),
inference(avatar_split_clause,[],[f661,f1973,f2544]) ).
fof(f661,plain,
( e22 != op2(e22,e22)
| ~ sP70 ),
inference(cnf_transformation,[],[f187]) ).
fof(f2540,plain,
( ~ spl144_287
| spl144_151 ),
inference(avatar_split_clause,[],[f656,f1865,f2536]) ).
fof(f656,plain,
( e22 = op2(e23,e23)
| ~ sP71 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP71 ),
inference(nnf_transformation,[],[f93]) ).
fof(f2534,plain,
( ~ spl144_286
| spl144_144 ),
inference(avatar_split_clause,[],[f650,f1835,f2528]) ).
fof(f650,plain,
( e23 = op2(e23,e23)
| ~ sP72 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP72 ),
inference(nnf_transformation,[],[f94]) ).
fof(f2526,plain,
( ~ spl144_285
| spl144_144 ),
inference(avatar_split_clause,[],[f646,f1835,f2520]) ).
fof(f646,plain,
( e23 = op2(e23,e23)
| ~ sP73 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP73 ),
inference(nnf_transformation,[],[f95]) ).
fof(f2518,plain,
( ~ spl144_284
| spl144_144 ),
inference(avatar_split_clause,[],[f642,f1835,f2512]) ).
fof(f642,plain,
( e23 = op2(e23,e23)
| ~ sP74 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP74 ),
inference(nnf_transformation,[],[f96]) ).
fof(f2505,plain,
( ~ spl144_279
| spl144_282 ),
inference(avatar_split_clause,[],[f635,f2502,f2485]) ).
fof(f635,plain,
( e21 = op2(e20,op2(e20,e21))
| ~ sP75 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP75 ),
inference(nnf_transformation,[],[f97]) ).
fof(f2490,plain,
( ~ spl144_279
| ~ spl144_197
| spl144_199 ),
inference(avatar_split_clause,[],[f639,f2077,f2068,f2485]) ).
fof(f639,plain,
( e20 = op2(e21,e21)
| e21 != op2(e21,e20)
| ~ sP75 ),
inference(cnf_transformation,[],[f182]) ).
fof(f2483,plain,
( ~ spl144_274
| spl144_278 ),
inference(avatar_split_clause,[],[f626,f2480,f2458]) ).
fof(f626,plain,
( e20 = op2(e21,op2(e21,e20))
| ~ sP76 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ~ sP76 ),
inference(nnf_transformation,[],[f98]) ).
fof(f2478,plain,
( ~ spl144_274
| spl144_277 ),
inference(avatar_split_clause,[],[f627,f2475,f2458]) ).
fof(f627,plain,
( e21 = op2(e21,op2(e21,e21))
| ~ sP76 ),
inference(cnf_transformation,[],[f181]) ).
fof(f2463,plain,
( ~ spl144_274
| ~ spl144_198
| spl144_203 ),
inference(avatar_split_clause,[],[f630,f2099,f2073,f2458]) ).
fof(f630,plain,
( op2(e20,e20) = e21
| e20 != op2(e20,e21)
| ~ sP76 ),
inference(cnf_transformation,[],[f181]) ).
fof(f2456,plain,
( ~ spl144_269
| spl144_273 ),
inference(avatar_split_clause,[],[f618,f2453,f2431]) ).
fof(f618,plain,
( e20 = op2(e22,op2(e22,e20))
| ~ sP77 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ~ sP77 ),
inference(nnf_transformation,[],[f99]) ).
fof(f2451,plain,
( ~ spl144_269
| spl144_272 ),
inference(avatar_split_clause,[],[f619,f2448,f2431]) ).
fof(f619,plain,
( e21 = op2(e22,op2(e22,e21))
| ~ sP77 ),
inference(cnf_transformation,[],[f180]) ).
fof(f2436,plain,
( ~ spl144_269
| ~ spl144_184
| spl144_202 ),
inference(avatar_split_clause,[],[f622,f2093,f2009,f2431]) ).
fof(f622,plain,
( op2(e20,e20) = e22
| e20 != op2(e20,e22)
| ~ sP77 ),
inference(cnf_transformation,[],[f180]) ).
fof(f2434,plain,
( ~ spl144_269
| ~ spl144_147
| spl144_151 ),
inference(avatar_split_clause,[],[f625,f1865,f1848,f2431]) ).
fof(f625,plain,
( e22 = op2(e23,e23)
| e23 != op2(e23,e22)
| ~ sP77 ),
inference(cnf_transformation,[],[f180]) ).
fof(f2413,plain,
( spl144_268
| spl144_262
| spl144_248
| spl144_226 ),
inference(avatar_split_clause,[],[f570,f2217,f2313,f2377,f2409]) ).
fof(f570,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2412,plain,
( spl144_268
| spl144_264
| spl144_251
| spl144_230 ),
inference(avatar_split_clause,[],[f571,f2234,f2326,f2386,f2409]) ).
fof(f571,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2407,plain,
( spl144_267
| spl144_259
| spl144_243
| spl144_219 ),
inference(avatar_split_clause,[],[f572,f2187,f2291,f2363,f2403]) ).
fof(f572,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2406,plain,
( spl144_267
| spl144_261
| spl144_246
| spl144_223 ),
inference(avatar_split_clause,[],[f573,f2204,f2304,f2372,f2403]) ).
fof(f573,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2401,plain,
( spl144_266
| spl144_256
| spl144_238
| spl144_212 ),
inference(avatar_split_clause,[],[f574,f2157,f2269,f2349,f2397]) ).
fof(f574,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2400,plain,
( spl144_266
| spl144_258
| spl144_241
| spl144_216 ),
inference(avatar_split_clause,[],[f575,f2174,f2282,f2358,f2397]) ).
fof(f575,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2395,plain,
( spl144_265
| spl144_253
| spl144_233
| spl144_205 ),
inference(avatar_split_clause,[],[f576,f2127,f2247,f2335,f2391]) ).
fof(f576,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2394,plain,
( spl144_265
| spl144_255
| spl144_236
| spl144_209 ),
inference(avatar_split_clause,[],[f577,f2144,f2260,f2344,f2391]) ).
fof(f577,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2389,plain,
( spl144_264
| spl144_263
| spl144_249
| spl144_227 ),
inference(avatar_split_clause,[],[f578,f2221,f2317,f2381,f2386]) ).
fof(f578,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2384,plain,
( spl144_262
| spl144_263
| spl144_252
| spl144_231 ),
inference(avatar_split_clause,[],[f579,f2238,f2330,f2381,f2377]) ).
fof(f579,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2375,plain,
( spl144_261
| spl144_260
| spl144_244
| spl144_220 ),
inference(avatar_split_clause,[],[f580,f2191,f2295,f2367,f2372]) ).
fof(f580,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2370,plain,
( spl144_259
| spl144_260
| spl144_247
| spl144_224 ),
inference(avatar_split_clause,[],[f581,f2208,f2308,f2367,f2363]) ).
fof(f581,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2347,plain,
( spl144_255
| spl144_254
| spl144_234
| spl144_206 ),
inference(avatar_split_clause,[],[f584,f2131,f2251,f2339,f2344]) ).
fof(f584,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2333,plain,
( spl144_251
| spl144_252
| spl144_250
| spl144_228 ),
inference(avatar_split_clause,[],[f586,f2225,f2321,f2330,f2326]) ).
fof(f586,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2324,plain,
( spl144_248
| spl144_249
| spl144_250
| spl144_232 ),
inference(avatar_split_clause,[],[f587,f2242,f2321,f2317,f2313]) ).
fof(f587,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2311,plain,
( spl144_246
| spl144_247
| spl144_245
| spl144_221 ),
inference(avatar_split_clause,[],[f588,f2195,f2299,f2308,f2304]) ).
fof(f588,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2302,plain,
( spl144_243
| spl144_244
| spl144_245
| spl144_225 ),
inference(avatar_split_clause,[],[f589,f2212,f2299,f2295,f2291]) ).
fof(f589,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2289,plain,
( spl144_241
| spl144_242
| spl144_240
| spl144_214 ),
inference(avatar_split_clause,[],[f590,f2165,f2277,f2286,f2282]) ).
fof(f590,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2280,plain,
( spl144_238
| spl144_239
| spl144_240
| spl144_218 ),
inference(avatar_split_clause,[],[f591,f2182,f2277,f2273,f2269]) ).
fof(f591,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2258,plain,
( spl144_233
| spl144_234
| spl144_235
| spl144_211 ),
inference(avatar_split_clause,[],[f593,f2152,f2255,f2251,f2247]) ).
fof(f593,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2215,plain,
( spl144_223
| spl144_224
| spl144_225
| spl144_222 ),
inference(avatar_split_clause,[],[f596,f2199,f2212,f2208,f2204]) ).
fof(f596,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2202,plain,
( spl144_219
| spl144_220
| spl144_221
| spl144_222 ),
inference(avatar_split_clause,[],[f597,f2199,f2195,f2191,f2187]) ).
fof(f597,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2185,plain,
( spl144_216
| spl144_217
| spl144_218
| spl144_215 ),
inference(avatar_split_clause,[],[f598,f2169,f2182,f2178,f2174]) ).
fof(f598,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2172,plain,
( spl144_212
| spl144_213
| spl144_214
| spl144_215 ),
inference(avatar_split_clause,[],[f599,f2169,f2165,f2161,f2157]) ).
fof(f599,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2155,plain,
( spl144_209
| spl144_210
| spl144_211
| spl144_208 ),
inference(avatar_split_clause,[],[f600,f2139,f2152,f2148,f2144]) ).
fof(f600,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2142,plain,
( spl144_205
| spl144_206
| spl144_207
| spl144_208 ),
inference(avatar_split_clause,[],[f601,f2139,f2135,f2131,f2127]) ).
fof(f601,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2109,plain,
( spl144_204
| spl144_198
| spl144_184
| spl144_162 ),
inference(avatar_split_clause,[],[f522,f1913,f2009,f2073,f2105]) ).
fof(f522,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2108,plain,
( spl144_204
| spl144_200
| spl144_187
| spl144_166 ),
inference(avatar_split_clause,[],[f523,f1930,f2022,f2082,f2105]) ).
fof(f523,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2103,plain,
( spl144_203
| spl144_195
| spl144_179
| spl144_155 ),
inference(avatar_split_clause,[],[f524,f1883,f1987,f2059,f2099]) ).
fof(f524,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2102,plain,
( spl144_203
| spl144_197
| spl144_182
| spl144_159 ),
inference(avatar_split_clause,[],[f525,f1900,f2000,f2068,f2099]) ).
fof(f525,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2096,plain,
( spl144_202
| spl144_194
| spl144_177
| spl144_152 ),
inference(avatar_split_clause,[],[f527,f1870,f1978,f2054,f2093]) ).
fof(f527,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2090,plain,
( spl144_201
| spl144_191
| spl144_172
| spl144_145 ),
inference(avatar_split_clause,[],[f529,f1840,f1956,f2040,f2087]) ).
fof(f529,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2085,plain,
( spl144_200
| spl144_199
| spl144_185
| spl144_163 ),
inference(avatar_split_clause,[],[f530,f1917,f2013,f2077,f2082]) ).
fof(f530,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2080,plain,
( spl144_198
| spl144_199
| spl144_188
| spl144_167 ),
inference(avatar_split_clause,[],[f531,f1934,f2026,f2077,f2073]) ).
fof(f531,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2071,plain,
( spl144_197
| spl144_196
| spl144_180
| spl144_156 ),
inference(avatar_split_clause,[],[f532,f1887,f1991,f2063,f2068]) ).
fof(f532,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2066,plain,
( spl144_195
| spl144_196
| spl144_183
| spl144_160 ),
inference(avatar_split_clause,[],[f533,f1904,f2004,f2063,f2059]) ).
fof(f533,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2029,plain,
( spl144_187
| spl144_188
| spl144_186
| spl144_164 ),
inference(avatar_split_clause,[],[f538,f1921,f2017,f2026,f2022]) ).
fof(f538,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2020,plain,
( spl144_184
| spl144_185
| spl144_186
| spl144_168 ),
inference(avatar_split_clause,[],[f539,f1938,f2017,f2013,f2009]) ).
fof(f539,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2007,plain,
( spl144_182
| spl144_183
| spl144_181
| spl144_157 ),
inference(avatar_split_clause,[],[f540,f1891,f1995,f2004,f2000]) ).
fof(f540,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1998,plain,
( spl144_179
| spl144_180
| spl144_181
| spl144_161 ),
inference(avatar_split_clause,[],[f541,f1908,f1995,f1991,f1987]) ).
fof(f541,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1985,plain,
( spl144_177
| spl144_178
| spl144_176
| spl144_150 ),
inference(avatar_split_clause,[],[f542,f1861,f1973,f1982,f1978]) ).
fof(f542,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1976,plain,
( spl144_174
| spl144_175
| spl144_176
| spl144_154 ),
inference(avatar_split_clause,[],[f543,f1878,f1973,f1969,f1965]) ).
fof(f543,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1954,plain,
( spl144_169
| spl144_170
| spl144_171
| spl144_147 ),
inference(avatar_split_clause,[],[f545,f1848,f1951,f1947,f1943]) ).
fof(f545,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1911,plain,
( spl144_159
| spl144_160
| spl144_161
| spl144_158 ),
inference(avatar_split_clause,[],[f548,f1895,f1908,f1904,f1900]) ).
fof(f548,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1881,plain,
( spl144_152
| spl144_153
| spl144_154
| spl144_151 ),
inference(avatar_split_clause,[],[f550,f1865,f1878,f1874,f1870]) ).
fof(f550,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1868,plain,
( spl144_148
| spl144_149
| spl144_150
| spl144_151 ),
inference(avatar_split_clause,[],[f551,f1865,f1861,f1857,f1853]) ).
fof(f551,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1851,plain,
( spl144_145
| spl144_146
| spl144_147
| spl144_144 ),
inference(avatar_split_clause,[],[f552,f1835,f1848,f1844,f1840]) ).
fof(f552,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1838,plain,
( spl144_141
| spl144_142
| spl144_143
| spl144_144 ),
inference(avatar_split_clause,[],[f553,f1835,f1831,f1827,f1823]) ).
fof(f553,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1821,plain,
spl144_39,
inference(avatar_split_clause,[],[f416,f1377]) ).
fof(f416,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f1718,plain,
( ~ spl144_101
| ~ spl144_102
| ~ spl144_103
| ~ spl144_104
| ~ spl144_105
| ~ spl144_106
| ~ spl144_107
| ~ spl144_108
| ~ spl144_109
| ~ spl144_110
| ~ spl144_111
| ~ spl144_112
| ~ spl144_113
| ~ spl144_114
| ~ spl144_115
| ~ spl144_116
| spl144_41
| spl144_36
| spl144_31
| ~ spl144_117 ),
inference(avatar_split_clause,[],[f367,f1715,f1339,f1363,f1387,f1711,f1707,f1703,f1699,f1695,f1691,f1687,f1683,f1679,f1675,f1671,f1667,f1663,f1659,f1655,f1651]) ).
fof(f1387,plain,
( spl144_41
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_41])]) ).
fof(f1363,plain,
( spl144_36
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_36])]) ).
fof(f1339,plain,
( spl144_31
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_31])]) ).
fof(f367,plain,
( e23 != h2(e13)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1409,plain,
( ~ spl144_41
| ~ spl144_45 ),
inference(avatar_split_clause,[],[f344,f1406,f1387]) ).
fof(f344,plain,
( e20 != h2(e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1380,plain,
( ~ spl144_36
| ~ spl144_39 ),
inference(avatar_split_clause,[],[f341,f1377,f1363]) ).
fof(f341,plain,
( e21 != h2(e11)
| ~ sP4 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1351,plain,
( ~ spl144_31
| ~ spl144_33 ),
inference(avatar_split_clause,[],[f338,f1348,f1339]) ).
fof(f338,plain,
( e22 != h2(e12)
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG102+1 : TPTP v8.2.0. Released v2.7.0.
% 0.10/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 15:13:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_PEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 % (782)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (785)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.43 % (782)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (786)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.45 % (782)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (789)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.45 % (782)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (788)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.45 % (782)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (783)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.45 % (782)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (790)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.47 % (782)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (787)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.49 % (789)Instruction limit reached!
% 0.21/0.49 % (789)------------------------------
% 0.21/0.49 % (789)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (789)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (789)Termination reason: Time limit
% 0.21/0.49 % (789)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (789)Memory used [KB]: 3804
% 0.21/0.49 % (789)Time elapsed: 0.046 s
% 0.21/0.49 % (789)Instructions burned: 134 (million)
% 0.21/0.50 % (790)Instruction limit reached!
% 0.21/0.50 % (790)------------------------------
% 0.21/0.50 % (790)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (790)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (790)Termination reason: Time limit
% 0.21/0.50 % (790)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (790)Memory used [KB]: 2016
% 0.21/0.50 % (790)Time elapsed: 0.048 s
% 0.21/0.50 % (790)Instructions burned: 124 (million)
% 0.21/0.50 % (788)Instruction limit reached!
% 0.21/0.50 % (788)------------------------------
% 0.21/0.50 % (788)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (788)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (788)Termination reason: Time limit
% 0.21/0.50 % (788)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (788)Memory used [KB]: 2595
% 0.21/0.50 % (788)Time elapsed: 0.050 s
% 0.21/0.50 % (788)Instructions burned: 110 (million)
% 0.21/0.51 % (785)First to succeed.
% 0.21/0.52 % (785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-782"
% 0.21/0.52 % (782)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (785)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (785)------------------------------
% 0.21/0.53 % (785)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53 % (785)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53 % (785)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (785)Memory used [KB]: 3181
% 0.21/0.53 % (785)Time elapsed: 0.116 s
% 0.21/0.53 % (785)Instructions burned: 271 (million)
% 0.21/0.53 % (785)------------------------------
% 0.21/0.53 % (785)------------------------------
% 0.21/0.53 % (782)Success in time 0.144 s
%------------------------------------------------------------------------------