%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM376+1.030 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:04:35 EDT 2022

% Result   : Unsatisfiable 11.38s 1.84s
% Output   : Refutation 11.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      : 1553
% Syntax   : Number of formulae    : 4538 (2979 unt;   0 def)
%            Number of atoms       : 13960 (10857 equ)
%            Maximal formula atoms : 3102 (   3 avg)
%            Number of connectives : 12684 (3262   ~; 420   |;7450   &)
%                                         (1551 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth : 1495 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  : 1553 (1551 usr;1552 prp; 0-2 aty)
%            Number of functors    :   36 (  36 usr;  33 con; 0-2 aty)
%            Number of variables   :    6 (   0   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9191,plain,
    $false,
    inference(avatar_smt_refutation,[],[f1500,f1505,f1510,f1515,f1520,f1525,f1530,f1535,f1540,f1545,f1550,f1555,f1560,f1565,f1570,f1575,f1580,f1585,f1590,f1595,f1600,f1605,f1610,f1615,f1620,f1625,f1630,f1635,f1640,f1645,f1650,f1655,f1660,f1665,f1670,f1675,f1680,f1685,f1690,f1695,f1700,f1705,f1710,f1715,f1720,f1725,f1730,f1735,f1740,f1745,f1750,f1755,f1760,f1765,f1770,f1775,f1780,f1785,f1790,f1795,f1800,f1805,f1810,f1815,f1820,f1825,f1830,f1835,f1840,f1845,f1850,f1855,f1860,f1865,f1870,f1875,f1880,f1885,f1890,f1895,f1900,f1905,f1910,f1915,f1920,f1925,f1930,f1935,f1940,f1945,f1950,f1955,f1960,f1965,f1970,f1975,f1980,f1985,f1990,f1995,f2000,f2005,f2010,f2015,f2020,f2025,f2030,f2035,f2040,f2045,f2050,f2055,f2060,f2065,f2070,f2075,f2080,f2085,f2090,f2095,f2100,f2105,f2110,f2115,f2120,f2125,f2130,f2135,f2140,f2145,f2150,f2155,f2160,f2165,f2170,f2175,f2180,f2185,f2190,f2195,f2200,f2205,f2210,f2215,f2220,f2225,f2230,f2235,f2240,f2245,f2250,f2255,f2260,f2265,f2270,f2275,f2280,f2285,f2290,f2295,f2300,f2305,f2310,f2315,f2320,f2325,f2330,f2335,f2340,f2345,f2350,f2355,f2360,f2365,f2370,f2375,f2380,f2385,f2390,f2395,f2400,f2405,f2410,f2415,f2420,f2425,f2430,f2435,f2440,f2445,f2450,f2455,f2460,f2465,f2470,f2475,f2480,f2485,f2490,f2495,f2500,f2505,f2510,f2515,f2520,f2525,f2530,f2535,f2540,f2545,f2550,f2555,f2560,f2565,f2570,f2575,f2580,f2585,f2590,f2595,f2600,f2605,f2610,f2615,f2620,f2625,f2630,f2635,f2640,f2645,f2650,f2655,f2660,f2665,f2670,f2675,f2680,f2685,f2690,f2695,f2700,f2705,f2710,f2715,f2720,f2725,f2730,f2735,f2740,f2745,f2750,f2755,f2760,f2765,f2770,f2775,f2780,f2785,f2790,f2795,f2800,f2805,f2810,f2815,f2820,f2825,f2830,f2835,f2840,f2845,f2850,f2855,f2860,f2865,f2870,f2875,f2880,f2885,f2890,f2895,f2900,f2905,f2910,f2915,f2920,f2925,f2930,f2935,f2940,f2945,f2950,f2955,f2960,f2965,f2970,f2975,f2980,f2985,f2990,f2995,f3000,f3005,f3010,f3015,f3020,f3025,f3030,f3035,f3040,f3045,f3050,f3055,f3060,f3065,f3070,f3075,f3080,f3085,f3090,f3095,f3100,f3105,f3110,f3115,f3120,f3125,f3130,f3135,f3140,f3145,f3150,f3155,f3160,f3165,f3170,f3175,f3180,f3185,f3190,f3195,f3200,f3205,f3210,f3215,f3220,f3225,f3230,f3235,f3240,f3245,f3250,f3255,f3260,f3265,f3270,f3275,f3280,f3285,f3290,f3295,f3300,f3305,f3310,f3315,f3320,f3325,f3330,f3335,f3340,f3345,f3350,f3355,f3360,f3365,f3370,f3375,f3380,f3385,f3390,f3395,f3400,f3405,f3410,f3415,f3420,f3425,f3430,f3435,f3440,f3445,f3450,f3455,f3460,f3465,f3470,f3475,f3480,f3485,f3490,f3495,f3500,f3505,f3510,f3515,f3520,f3525,f3530,f3535,f3540,f3545,f3550,f3555,f3560,f3565,f3570,f3575,f3580,f3585,f3590,f3595,f3600,f3605,f3610,f3615,f3620,f3625,f3630,f3635,f3640,f3645,f3650,f3655,f3660,f3665,f3670,f3675,f3680,f3685,f3690,f3695,f3700,f3705,f3710,f3715,f3720,f3725,f3730,f3735,f3740,f3745,f3750,f3755,f3760,f3765,f3770,f3775,f3780,f3785,f3790,f3795,f3800,f3805,f3810,f3815,f3820,f3825,f3830,f3835,f3840,f3845,f3850,f3855,f3860,f3865,f3870,f3875,f3880,f3885,f3890,f3895,f3900,f3905,f3910,f3915,f3920,f3925,f3930,f3935,f3940,f3945,f3950,f3955,f3960,f3965,f3970,f3975,f3980,f3985,f3990,f3995,f4000,f4005,f4010,f4015,f4020,f4025,f4030,f4035,f4040,f4045,f4050,f4055,f4060,f4065,f4070,f4075,f4080,f4085,f4090,f4095,f4100,f4225,f4230,f4235,f4240,f4245,f4250,f4255,f4260,f4265,f4270,f4275,f4280,f4285,f4290,f4295,f4300,f4305,f4310,f4315,f4320,f4325,f4330,f4335,f4340,f4345,f4350,f4355,f4360,f4365,f4370,f4375,f4380,f4385,f4390,f4395,f4400,f4405,f4410,f4415,f4420,f4425,f4430,f4435,f4440,f4445,f4450,f4455,f4460,f4465,f4470,f4475,f4480,f4485,f4490,f4495,f4500,f4505,f4510,f4515,f4520,f4525,f4530,f4535,f4540,f4545,f4550,f4555,f4560,f4565,f4570,f4575,f4580,f4585,f4590,f4595,f4600,f4605,f4610,f4615,f4620,f4625,f4630,f4635,f4640,f4645,f4650,f4655,f4660,f4665,f4670,f4675,f4680,f4685,f4690,f4695,f4700,f4705,f4710,f4715,f4720,f4725,f4730,f4735,f4740,f4745,f4750,f4755,f4760,f4765,f4770,f4775,f4780,f4785,f4790,f4795,f4800,f4805,f4810,f4815,f4820,f4825,f4830,f4835,f4840,f4845,f4850,f4855,f4860,f4865,f4870,f4875,f4880,f4885,f4890,f4895,f4900,f4905,f4910,f4915,f4920,f4925,f4930,f4935,f4940,f4945,f4950,f4955,f4960,f4965,f4970,f4975,f4980,f4985,f4990,f4995,f5000,f5005,f5010,f5015,f5020,f5025,f5030,f5035,f5040,f5045,f5050,f5055,f5060,f5065,f5070,f5075,f5080,f5085,f5090,f5095,f5100,f5105,f5110,f5115,f5120,f5125,f5130,f5135,f5140,f5145,f5150,f5155,f5160,f5165,f5170,f5175,f5180,f5185,f5190,f5195,f5200,f5205,f5210,f5215,f5220,f5225,f5230,f5235,f5240,f5245,f5250,f5255,f5260,f5265,f5270,f5275,f5280,f5285,f5290,f5295,f5300,f5305,f5310,f5315,f5320,f5325,f5330,f5335,f5340,f5345,f5350,f5355,f5360,f5365,f5370,f5375,f5380,f5385,f5390,f5395,f5400,f5405,f5410,f5415,f5420,f5425,f5430,f5435,f5440,f5445,f5450,f5455,f5460,f5465,f5470,f5475,f5480,f5485,f5490,f5495,f5500,f5505,f5510,f5515,f5520,f5525,f5530,f5535,f5540,f5545,f5550,f5555,f5560,f5565,f5570,f5575,f5580,f5585,f5590,f5595,f5600,f5605,f5610,f5615,f5620,f5625,f5630,f5635,f5640,f5645,f5650,f5655,f5660,f5665,f5670,f5675,f5680,f5685,f5690,f5695,f5700,f5705,f5710,f5715,f5720,f5725,f5730,f5735,f5740,f5745,f5750,f5755,f5760,f5765,f5770,f5775,f5780,f5785,f5790,f5795,f5800,f5805,f5810,f5815,f5820,f5825,f5830,f5835,f5840,f5845,f5850,f5855,f5860,f5865,f5870,f5875,f5880,f5885,f5890,f5895,f5900,f5905,f5910,f5915,f5920,f5925,f5930,f5935,f5940,f5945,f5950,f5955,f5960,f5965,f5970,f5975,f5980,f5985,f5990,f5995,f6000,f6005,f6010,f6015,f6020,f6025,f6030,f6035,f6040,f6045,f6050,f6055,f6060,f6065,f6070,f6075,f6080,f6085,f6090,f6095,f6100,f6105,f6110,f6115,f6120,f6125,f6130,f6135,f6140,f6145,f6150,f6155,f6160,f6165,f6170,f6175,f6180,f6185,f6190,f6195,f6200,f6205,f6210,f6215,f6220,f6225,f6230,f6235,f6240,f6245,f6250,f6255,f6260,f6265,f6270,f6275,f6280,f6285,f6290,f6295,f6300,f6305,f6310,f6315,f6320,f6325,f6330,f6335,f6340,f6345,f6350,f6355,f6360,f6365,f6370,f6375,f6380,f6385,f6390,f6395,f6400,f6405,f6410,f6415,f6420,f6425,f6430,f6435,f6440,f6445,f6450,f6455,f6460,f6465,f6470,f6475,f6480,f6485,f6490,f6495,f6500,f6505,f6510,f6515,f6520,f6525,f6530,f6535,f6540,f6665,f6670,f6675,f6680,f6685,f6690,f6695,f6700,f6705,f6710,f6715,f6720,f6725,f6730,f6735,f6740,f6745,f6750,f6755,f6760,f6765,f6770,f6775,f6780,f6785,f6790,f6795,f6800,f6805,f6810,f6815,f6820,f6825,f6830,f6835,f6840,f6845,f6850,f6855,f6860,f6865,f6870,f6875,f6880,f6885,f6890,f6895,f6900,f6905,f6910,f6915,f6920,f6925,f6930,f6935,f6940,f6945,f6950,f6955,f6960,f6965,f6970,f6975,f6980,f6985,f6990,f6995,f7000,f7005,f7010,f7015,f7020,f7025,f7030,f7035,f7040,f7045,f7050,f7055,f7060,f7065,f7070,f7075,f7080,f7085,f7090,f7095,f7100,f7105,f7110,f7115,f7120,f7125,f7130,f7135,f7140,f7145,f7150,f7155,f7160,f7165,f7170,f7175,f7180,f7185,f7190,f7195,f7200,f7205,f7210,f7215,f7220,f7225,f7230,f7235,f7240,f7245,f7250,f7255,f7260,f7265,f7270,f7275,f7280,f7285,f7290,f7295,f7300,f7305,f7310,f7315,f7320,f7325,f7330,f7335,f7340,f7345,f7350,f7355,f7360,f7365,f7370,f7375,f7380,f7385,f7390,f7395,f7400,f7405,f7410,f7415,f7420,f7425,f7430,f7435,f7440,f7445,f7450,f7455,f7460,f7465,f7470,f7475,f7480,f7485,f7490,f7495,f7500,f7505,f7510,f7515,f7520,f7525,f7530,f7535,f7540,f7545,f7550,f7555,f7560,f7565,f7570,f7575,f7580,f7585,f7590,f7595,f7600,f7605,f7610,f7615,f7620,f7625,f7630,f7635,f7640,f7645,f7650,f7655,f7660,f7665,f7670,f7675,f7680,f7685,f7690,f7695,f7700,f7705,f7710,f7715,f7720,f7725,f7730,f7735,f7740,f7745,f7750,f7755,f7760,f7765,f7770,f7775,f7780,f7785,f7790,f7795,f7800,f7805,f7810,f7815,f7820,f7825,f7830,f7835,f7840,f7845,f7850,f7855,f7860,f7865,f7870,f7875,f7880,f7885,f7890,f7895,f7900,f7905,f7910,f7915,f7920,f7925,f7930,f7935,f7940,f7945,f7950,f7955,f7960,f7965,f7970,f7975,f7980,f7985,f7990,f7995,f8000,f8005,f8010,f8015,f8020,f8025,f8030,f8035,f8040,f8045,f8050,f8055,f8060,f8065,f8070,f8075,f8080,f8085,f8090,f8095,f8100,f8105,f8110,f8115,f8120,f8125,f8130,f8135,f8140,f8145,f8150,f8155,f8160,f8165,f8170,f8175,f8180,f8185,f8190,f8195,f8200,f8205,f8210,f8215,f8220,f8225,f8230,f8235,f8240,f8245,f8250,f8255,f8260,f8265,f8270,f8275,f8280,f8285,f8290,f8295,f8300,f8305,f8310,f8315,f8320,f8325,f8330,f8335,f8340,f8345,f8350,f8355,f8360,f8365,f8370,f8375,f8380,f8385,f8390,f8395,f8400,f8405,f8410,f8415,f8420,f8425,f8430,f8435,f8440,f8445,f8450,f8455,f8460,f8465,f8470,f8475,f8480,f8485,f8490,f8495,f8500,f8505,f8510,f8515,f8520,f8525,f8530,f8535,f8540,f8545,f8550,f8555,f8560,f8565,f8570,f8575,f8580,f8585,f8590,f8595,f8600,f8605,f8610,f8615,f8620,f8625,f8630,f8635,f8640,f8645,f8650,f8655,f8660,f8665,f8670,f8675,f8680,f8685,f8690,f8695,f8700,f8705,f8710,f8715,f8720,f8725,f8730,f8735,f8740,f8745,f8750,f8755,f8760,f8765,f8770,f8775,f8780,f8785,f8790,f8795,f8800,f8805,f8810,f8815,f8820,f8825,f8830,f8835,f8840,f8845,f8850,f8855,f8860,f8865,f8870,f8875,f8880,f8885,f8890,f8895,f8900,f8905,f8910,f8915,f8920,f8925,f8930,f8935,f8940,f8945,f8950,f8955,f8960,f8965,f8970,f8975,f8980,f8985,f8990,f8995,f9000,f9005,f9010,f9015,f9020,f9025,f9030,f9035,f9040,f9045,f9050,f9055,f9060,f9065,f9070,f9075,f9080,f9085,f9090,f9095,f9100,f9105,f9110,f9115,f9120,f9125,f9130,f9135,f9140,f9145,f9150,f9155,f9160,f9165,f9170,f9175,f9180,f9185,f9190]) ).

fof(f9190,plain,
    spl2_1551,
    inference(avatar_split_clause,[],[f21,f9187]) ).

fof(f9187,plain,
    ( spl2_1551
  <=> n15 = sum(n23,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1551])]) ).

fof(f21,plain,
    n15 = sum(n23,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( n11 != n17
    & n17 != n19
    & n19 = sum(n0,n19)
    & n18 != n23
    & n2 != n10
    & n0 != n24
    & n0 = sum(n22,n9)
    & n4 != n6
    & n11 = sum(n19,n23)
    & n28 = sum(n0,n28)
    & n22 = sum(n24,n29)
    & n0 != n22
    & n1 != n12
    & n24 = sum(n28,n27)
    & n24 = sum(n26,n29)
    & n28 = sum(n19,n9)
    & n25 = sum(n30,n26)
    & n7 != n13
    & n28 = sum(n28,n0)
    & n21 = sum(n24,n28)
    & n28 = sum(n5,n23)
    & n0 = sum(n21,n10)
    & n17 = sum(n9,n8)
    & n13 = sum(n26,n18)
    & n1 != n30
    & n26 = sum(n1,n25)
    & n9 = sum(n13,n27)
    & n30 = pred(n0)
    & n30 = sum(n23,n7)
    & n12 != n25
    & n26 = sum(n4,n22)
    & n0 = sum(n25,n6)
    & n24 = sum(n5,n19)
    & n2 != n20
    & n3 = sum(n12,n22)
    & n26 = sum(n15,n11)
    & n19 = sum(n7,n12)
    & n9 = sum(n1,n8)
    & n12 = pred(n13)
    & n27 = sum(n15,n12)
    & n9 = sum(n2,n7)
    & succ(n3) = n4
    & n2 != n18
    & n11 = sum(n12,n30)
    & n25 = sum(n4,n21)
    & n4 = sum(n2,n2)
    & n15 = sum(n10,n5)
    & n23 = sum(n28,n26)
    & n22 = pred(n23)
    & n6 = sum(n25,n12)
    & n2 = sum(n17,n16)
    & n21 = sum(n20,n1)
    & n7 != n9
    & ( n29 = sK1
      | n2 = sK1
      | n6 = sK1
      | n22 = sK1
      | n0 = sK1
      | n4 = sK1
      | n18 = sK1
      | n24 = sK1
      | n3 = sK1
      | n10 = sK1
      | n20 = sK1
      | n14 = sK1
      | n30 = sK1
      | n15 = sK1
      | n23 = sK1
      | n11 = sK1
      | n27 = sK1
      | n25 = sK1
      | n19 = sK1
      | n28 = sK1
      | n21 = sK1
      | n5 = sK1
      | n26 = sK1
      | n12 = sK1
      | n9 = sK1
      | n17 = sK1
      | n7 = sK1
      | n13 = sK1
      | n8 = sK1
      | n16 = sK1
      | n1 = sK1 )
    & n24 = sum(n23,n1)
    & n10 = sum(n5,n5)
    & n29 = sum(n1,n28)
    & n5 = sum(n16,n20)
    & n4 = sum(n5,n30)
    & n10 = sum(n20,n21)
    & n2 != n5
    & n11 != n23
    & n10 != n18
    & n2 = sum(n22,n11)
    & n22 != n23
    & n23 = sum(n26,n28)
    & n6 != n25
    & n29 = sum(n27,n2)
    & n25 = sum(n8,n17)
    & n14 = sum(n11,n3)
    & n30 = sum(n24,n6)
    & n5 = sum(n6,n30)
    & n6 = sum(n29,n8)
    & n22 = sum(n1,n21)
    & n11 != n29
    & n6 != n7
    & n24 = pred(n25)
    & n7 != n24
    & n30 = sum(n13,n17)
    & n7 = sum(n10,n28)
    & n19 = sum(n27,n23)
    & n30 = sum(n11,n19)
    & n9 != n16
    & n30 = sum(n9,n21)
    & n7 = sum(n30,n8)
    & n3 != n20
    & n13 != n25
    & n12 != n15
    & n9 != n30
    & n5 = sum(n2,n3)
    & n30 = sum(n28,n2)
    & n19 = sum(n16,n3)
    & n14 = sum(n24,n21)
    & n15 = sum(n11,n4)
    & n29 = sum(n28,n1)
    & n9 != n27
    & n10 != n14
    & n28 = sum(n24,n4)
    & n24 != n28
    & n26 = sum(n22,n4)
    & n12 = sum(n30,n13)
    & n16 = sum(n8,n8)
    & n1 = pred(n2)
    & n21 = sum(n10,n11)
    & n13 = sum(n11,n2)
    & n26 = sum(n2,n24)
    & n29 = sum(n6,n23)
    & n6 = sum(n23,n14)
    & n17 = sum(n20,n28)
    & n7 = sum(n14,n24)
    & n23 != n27
    & n25 = sum(n24,n1)
    & n20 = pred(n21)
    & n9 = sum(n25,n15)
    & n5 != n27
    & n13 != n15
    & n15 = sum(n1,n14)
    & n6 != n21
    & n2 = sum(n11,n22)
    & n16 != n22
    & n12 != n13
    & n29 != n30
    & n26 = sum(n13,n13)
    & n11 = sum(n5,n6)
    & n16 != n18
    & n18 = sum(n3,n15)
    & n21 = sum(n27,n25)
    & n15 = sum(n15,n0)
    & n2 = sum(n21,n12)
    & n8 = sum(n19,n20)
    & n2 = sum(n3,n30)
    & n6 = sum(n4,n2)
    & n13 = sum(n25,n19)
    & n3 = sum(n10,n24)
    & n22 = sum(n23,n30)
    & n24 = sum(n15,n9)
    & n11 = sum(n25,n17)
    & n23 = sum(n27,n27)
    & n14 = sum(n30,n15)
    & n7 = sum(n9,n29)
    & n23 = sum(n20,n3)
    & n5 = sum(n12,n24)
    & n4 = sum(n28,n7)
    & n11 = sum(n28,n14)
    & n4 != n10
    & n4 != n19
    & n5 != n18
    & n11 = sum(n29,n13)
    & n10 != n29
    & n21 = sum(n2,n19)
    & n20 = sum(n21,n30)
    & n27 = sum(n14,n13)
    & n8 = sum(n24,n15)
    & n6 = sum(n0,n6)
    & n15 = sum(n2,n13)
    & n19 = sum(n3,n16)
    & n1 = sum(n7,n25)
    & n16 != n25
    & n12 = sum(n7,n5)
    & n4 != n17
    & sum(sum(pred(sK1),succ(sK0)),sum(pred(sK0),succ(sK1))) != sum(sum(pred(sK1),succ(sK1)),sum(pred(sK0),succ(sK0)))
    & n24 = sum(n4,n20)
    & n18 = sum(n4,n14)
    & n18 = sum(n1,n17)
    & n21 != n22
    & n4 != n7
    & n12 = sum(n6,n6)
    & n1 != n20
    & n2 != n23
    & n23 = pred(n24)
    & n14 = sum(n9,n5)
    & n13 = sum(n28,n16)
    & n10 != n27
    & n1 = sum(n26,n6)
    & n15 != n19
    & n4 = sum(n10,n25)
    & n29 = sum(n3,n26)
    & n10 = sum(n8,n2)
    & n23 != n30
    & n14 != n24
    & n1 = sum(n1,n0)
    & n0 = sum(n30,n1)
    & n26 = sum(n23,n3)
    & n13 = sum(n30,n14)
    & n14 = sum(n8,n6)
    & n21 = sum(n23,n29)
    & n1 = sum(n19,n13)
    & n15 != n24
    & n0 = sum(n19,n12)
    & n19 = sum(n11,n8)
    & n0 != n13
    & n24 = sum(n25,n30)
    & n27 = sum(n2,n25)
    & n7 = sum(n18,n20)
    & n22 = sum(n3,n19)
    & n26 = sum(n25,n1)
    & n19 != n28
    & n22 = sum(n26,n27)
    & n9 != n17
    & n12 = sum(n13,n30)
    & n27 = sum(n4,n23)
    & n22 != n27
    & succ(n18) = n19
    & n12 = sum(n4,n8)
    & n30 = sum(n5,n25)
    & n30 = sum(n15,n15)
    & n0 = sum(n13,n18)
    & n2 != n11
    & n5 != n14
    & n16 != n29
    & n0 != n25
    & n26 = sum(n10,n16)
    & n25 != n28
    & n3 != n9
    & n20 != n26
    & n24 = sum(n12,n12)
    & n26 = sum(n8,n18)
    & n19 != n23
    & n20 != n24
    & n9 != n10
    & n24 = sum(n16,n8)
    & n19 = sum(n15,n4)
    & n8 = sum(n17,n22)
    & n8 != n26
    & n2 != n15
    & n27 = sum(n21,n6)
    & n12 = sum(n16,n27)
    & n8 = sum(n13,n26)
    & n6 != n19
    & n16 != n19
    & n6 = sum(n3,n3)
    & n28 != n29
    & n6 != n30
    & n0 != n10
    & n7 = sum(n11,n27)
    & n24 = sum(n10,n14)
    & n11 != n26
    & n11 = sum(n20,n22)
    & n4 = sum(n18,n17)
    & n25 != n30
    & n23 = sum(n4,n19)
    & n19 = sum(n28,n22)
    & n12 = sum(n26,n17)
    & n11 != n13
    & n13 != n29
    & n3 = sum(n3,n0)
    & n14 != n20
    & n5 = sum(n17,n19)
    & n10 = sum(n3,n7)
    & n6 != n23
    & n15 = sum(n6,n9)
    & n13 = sum(n6,n7)
    & n6 = sum(n14,n23)
    & n16 = sum(n28,n19)
    & n5 = sum(n28,n8)
    & succ(n10) = n11
    & n10 = sum(n21,n20)
    & n0 != n14
    & n2 = sum(n1,n1)
    & n18 != n25
    & n19 = sum(n30,n20)
    & n20 = sum(n20,n0)
    & ( n1 = sK0
      | n29 = sK0
      | n2 = sK0
      | n14 = sK0
      | n18 = sK0
      | n16 = sK0
      | n5 = sK0
      | n27 = sK0
      | n28 = sK0
      | n10 = sK0
      | n3 = sK0
      | n0 = sK0
      | n24 = sK0
      | n17 = sK0
      | n15 = sK0
      | n9 = sK0
      | n26 = sK0
      | n13 = sK0
      | n12 = sK0
      | n20 = sK0
      | n7 = sK0
      | n4 = sK0
      | n11 = sK0
      | n23 = sK0
      | n22 = sK0
      | n25 = sK0
      | n30 = sK0
      | n21 = sK0
      | n19 = sK0
      | n6 = sK0
      | n8 = sK0 )
    & succ(n28) = n29
    & n6 = sum(n9,n28)
    & n4 != n20
    & n14 != n28
    & n9 = sum(n4,n5)
    & n22 = sum(n8,n14)
    & n5 != n25
    & n24 = sum(n1,n23)
    & n27 = sum(n1,n26)
    & n8 = sum(n5,n3)
    & n30 = sum(n26,n4)
    & n7 = sum(n8,n30)
    & n24 = sum(n30,n25)
    & n2 = sum(n25,n8)
    & n13 = sum(n24,n20)
    & n9 = sum(n27,n13)
    & n0 = sum(n23,n8)
    & n13 = pred(n14)
    & n18 = pred(n19)
    & n0 = sum(n7,n24)
    & n28 = sum(n1,n27)
    & n12 != n23
    & n3 != n5
    & n8 != n13
    & n25 = sum(n19,n6)
    & n8 = sum(n9,n30)
    & n24 = sum(n27,n28)
    & n18 = sum(n17,n1)
    & n6 = sum(n18,n19)
    & n0 = sum(n1,n30)
    & n17 = sum(n12,n5)
    & n23 = sum(n29,n25)
    & n10 != n25
    & n23 = sum(n2,n21)
    & n2 != n22
    & succ(n23) = n24
    & n9 != n21
    & n6 != n13
    & n13 != n18
    & n12 = sum(n19,n24)
    & n0 != n27
    & n7 = pred(n8)
    & n20 = sum(n13,n7)
    & n13 = sum(n23,n21)
    & n1 != n27
    & n16 != n24
    & n16 = sum(n6,n10)
    & n4 != n11
    & n27 = sum(n3,n24)
    & n18 = sum(n6,n12)
    & n6 = sum(n5,n1)
    & n3 = sum(n29,n5)
    & n3 = sum(n4,n30)
    & n6 != n22
    & n6 = sum(n10,n27)
    & n3 != n21
    & n16 != n26
    & n8 = sum(n16,n23)
    & succ(n6) = n7
    & n16 = sum(n14,n2)
    & n4 != n15
    & n12 != n18
    & n15 = sum(n0,n15)
    & n16 = sum(n29,n18)
    & n28 = sum(n22,n6)
    & n3 != n27
    & n29 = sum(n30,n30)
    & n18 = sum(n0,n18)
    & n1 = sum(n13,n19)
    & n6 = sum(n11,n26)
    & n7 = sum(n22,n16)
    & n3 = sum(n20,n14)
    & n21 = sum(n14,n7)
    & n27 = pred(n28)
    & n15 = sum(n25,n21)
    & n18 != n26
    & n2 != n7
    & n17 != n18
    & n8 != n20
    & n17 != n28
    & n26 = sum(n30,n27)
    & n4 = sum(n14,n21)
    & n17 = sum(n6,n11)
    & n5 != n28
    & n12 != n30
    & n28 = sum(n18,n10)
    & n22 = sum(n7,n15)
    & n6 = sum(n27,n10)
    & n16 = pred(n17)
    & n20 != n28
    & n3 = sum(n22,n12)
    & n10 = sum(n14,n27)
    & n10 != n13
    & n10 != n28
    & n25 = sum(n5,n20)
    & n11 != n15
    & n8 = sum(n10,n29)
    & n1 = sum(n23,n9)
    & n10 = sum(n4,n6)
    & n20 = sum(n12,n8)
    & n1 != n22
    & n12 != n29
    & n15 != n21
    & n13 != n26
    & n7 != n20
    & n16 != n30
    & n3 = sum(n24,n10)
    & n29 = sum(n25,n4)
    & n25 = sum(n11,n14)
    & n1 = sum(n5,n27)
    & n2 = sum(n29,n4)
    & n18 = sum(n22,n27)
    & n3 = sum(n2,n1)
    & n1 != n14
    & n8 = sum(n29,n10)
    & n13 != n21
    & n13 != n22
    & n14 != n16
    & n28 = pred(n29)
    & n4 = sum(n11,n24)
    & n4 = sum(n3,n1)
    & n9 = sum(n26,n14)
    & n21 = sum(n16,n5)
    & n5 = sum(n8,n28)
    & n18 = sum(n8,n10)
    & n3 = sum(n0,n3)
    & n3 = sum(n23,n11)
    & n9 != n15
    & n17 = sum(n25,n23)
    & n11 = sum(n10,n1)
    & n17 != n23
    & n14 = sum(n22,n23)
    & n12 = sum(n28,n15)
    & n23 = sum(n15,n8)
    & n5 != n23
    & n20 = sum(n4,n16)
    & n2 = sum(n28,n5)
    & n27 = sum(n16,n11)
    & n20 = sum(n28,n23)
    & n28 = sum(n2,n26)
    & n23 = sum(n5,n18)
    & n18 = sum(n25,n24)
    & n12 = sum(n24,n19)
    & n1 = sum(n6,n26)
    & n13 = sum(n0,n13)
    & n21 = pred(n22)
    & n12 = sum(n8,n4)
    & n2 != n14
    & n6 != n8
    & n17 = sum(n7,n10)
    & n15 != n20
    & n0 = sum(n29,n2)
    & n3 != n6
    & n4 = sum(n1,n3)
    & n11 = sum(n13,n29)
    & n23 = sum(n0,n23)
    & n17 = sum(n8,n9)
    & n0 != n29
    & n26 = sum(n9,n17)
    & n24 = sum(n8,n16)
    & n8 != n30
    & n0 != n26
    & succ(n24) = n25
    & n18 != n28
    & n2 != n13
    & n13 = sum(n19,n25)
    & n20 = sum(n3,n17)
    & n0 = sum(n24,n7)
    & n19 = sum(n12,n7)
    & n12 = sum(n3,n9)
    & n4 = sum(n19,n16)
    & n25 = sum(n10,n15)
    & n5 = sum(n30,n6)
    & n4 != n23
    & n11 = sum(n4,n7)
    & n5 != n26
    & n7 = sum(n1,n6)
    & n24 = sum(n3,n21)
    & n8 != n21
    & n19 = sum(n10,n9)
    & n25 = sum(n26,n30)
    & n13 = sum(n1,n12)
    & n16 = sum(n4,n12)
    & n8 = sum(n18,n21)
    & n16 != n27
    & n25 = sum(n0,n25)
    & n26 != n28
    & n5 = sum(n10,n26)
    & n17 = sum(n14,n3)
    & n27 = sum(n26,n1)
    & n9 != n19
    & n19 = sum(n21,n29)
    & n3 != n29
    & n21 = sum(n29,n23)
    & n25 = sum(n25,n0)
    & n3 = sum(n25,n9)
    & n19 != n29
    & n8 != n27
    & n28 = sum(n11,n17)
    & n25 = sum(n3,n22)
    & n9 = sum(n18,n22)
    & n5 = sum(n24,n12)
    & n7 = sum(n2,n5)
    & n13 = sum(n20,n24)
    & n13 = sum(n10,n3)
    & n20 != n25
    & n3 = sum(n15,n19)
    & n17 = sum(n10,n7)
    & n27 = sum(n13,n14)
    & succ(n13) = n14
    & n10 = sum(n28,n13)
    & n4 != n24
    & n29 = sum(n0,n29)
    & n30 = sum(n7,n23)
    & n8 = sum(n21,n18)
    & n3 != n16
    & n16 = sum(n5,n11)
    & n1 != n7
    & n20 = sum(n19,n1)
    & n8 != n14
    & n26 = sum(n21,n5)
    & n11 = sum(n14,n28)
    & n24 = sum(n13,n11)
    & n21 = sum(n17,n4)
    & n9 = sum(n14,n26)
    & n5 = sum(n11,n25)
    & n16 = sum(n15,n1)
    & n16 = sum(n13,n3)
    & n14 != n15
    & n4 = sum(n7,n28)
    & n15 = sum(n8,n7)
    & n24 = sum(n21,n3)
    & n27 = sum(n19,n8)
    & n16 = sum(n3,n13)
    & n12 != n14
    & n10 != n19
    & n9 != n25
    & n21 != n29
    & n7 = sum(n19,n19)
    & n3 = sum(n18,n16)
    & n1 = sum(n3,n29)
    & n14 != n30
    & n1 != n10
    & n17 = sum(n22,n26)
    & n18 != n30
    & n9 = sum(n3,n6)
    & n7 = sum(n4,n3)
    & succ(n15) = n16
    & n16 = sum(n21,n26)
    & n13 = sum(n12,n1)
    & n24 != n26
    & n12 != n20
    & n20 = sum(n10,n10)
    & n19 = sum(n25,n25)
    & n2 = sum(n2,n0)
    & n19 = sum(n1,n18)
    & n0 = sum(n10,n21)
    & n5 = sum(n0,n5)
    & n14 = sum(n10,n4)
    & n26 = sum(n6,n20)
    & n27 != n30
    & n4 = sum(n15,n20)
    & n14 = sum(n13,n1)
    & n2 != n12
    & n27 = sum(n11,n16)
    & n8 = sum(n1,n7)
    & n15 != n22
    & n0 != n23
    & n10 = sum(n13,n28)
    & n2 != n28
    & n13 != n28
    & n12 = sum(n15,n28)
    & n25 != n29
    & succ(n12) = n13
    & n20 = sum(n23,n28)
    & n6 != n17
    & n8 = sum(n15,n24)
    & n2 != n21
    & n17 = sum(n16,n1)
    & n5 = sum(n26,n10)
    & n15 = sum(n3,n12)
    & n21 = sum(n11,n10)
    & n17 = sum(n27,n21)
    & n8 = sum(n20,n19)
    & n15 != n17
    & n16 = sum(n0,n16)
    & n5 = sum(n13,n23)
    & n0 = sum(n15,n16)
    & n13 = sum(n18,n26)
    & n7 = sum(n3,n4)
    & n12 = sum(n20,n23)
    & n23 = sum(n18,n5)
    & n29 = sum(n23,n6)
    & n2 = sum(n16,n17)
    & n11 = sum(n21,n21)
    & n26 = sum(n24,n2)
    & n16 = sum(n10,n6)
    & n20 = sum(n11,n9)
    & n0 != n9
    & n13 != n16
    & n28 = sum(n13,n15)
    & n23 != n24
    & n14 = sum(n7,n7)
    & n29 = sum(n24,n5)
    & n17 = sum(n24,n24)
    & n25 = sum(n29,n27)
    & n2 = sum(n20,n13)
    & n0 = sum(n6,n25)
    & n0 = sum(n27,n4)
    & n1 = sum(n18,n14)
    & n5 != n21
    & n4 != n27
    & n28 = sum(n16,n12)
    & n22 = sum(n13,n9)
    & n17 = sum(n30,n18)
    & n29 = sum(n5,n24)
    & n18 = sum(n26,n23)
    & n9 != n14
    & n3 != n10
    & n2 = sum(n27,n6)
    & n7 = sum(n29,n9)
    & n23 = sum(n8,n15)
    & n15 = sum(n4,n11)
    & n22 = sum(n9,n13)
    & n5 = sum(n22,n14)
    & n25 = sum(n22,n3)
    & succ(n27) = n28
    & n8 = sum(n28,n11)
    & n1 = sum(n20,n12)
    & n23 = sum(n11,n12)
    & n14 = sum(n17,n28)
    & n9 != n26
    & n18 != n24
    & n11 = sum(n11,n0)
    & n25 != n27
    & n21 = sum(n26,n26)
    & n21 = sum(n3,n18)
    & n6 != n29
    & n14 = sum(n29,n16)
    & n2 != n6
    & n12 != n28
    & n22 != n29
    & n26 = sum(n12,n14)
    & n10 = sum(n19,n22)
    & n24 = sum(n22,n2)
    & n0 = sum(n17,n14)
    & n0 = sum(n8,n23)
    & n27 = sum(n17,n10)
    & n14 = sum(n2,n12)
    & n3 != n4
    & n7 = sum(n12,n26)
    & n27 = sum(n25,n2)
    & n13 = sum(n4,n9)
    & n15 = sum(n24,n22)
    & n11 = sum(n7,n4)
    & n5 = sum(n29,n7)
    & n12 = sum(n2,n10)
    & n6 = sum(n1,n5)
    & n18 = sum(n30,n19)
    & n11 = sum(n27,n15)
    & n20 = sum(n8,n12)
    & n0 != n3
    & n17 != n25
    & n7 != n16
    & n11 = sum(n17,n25)
    & n16 != n28
    & n24 = sum(n0,n24)
    & n16 = sum(n18,n29)
    & n29 = sum(n2,n27)
    & n0 = pred(n1)
    & n20 = sum(n26,n25)
    & n13 = sum(n3,n10)
    & n26 != n30
    & n9 = sum(n23,n17)
    & n5 = pred(n6)
    & n6 = sum(n13,n24)
    & n1 != n13
    & n29 = sum(n21,n8)
    & n19 = sum(n20,n30)
    & n1 = sum(n17,n15)
    & n17 = sum(n13,n4)
    & n15 = sum(n22,n24)
    & n8 = sum(n8,n0)
    & n26 = pred(n27)
    & n17 = sum(n2,n15)
    & n5 != n16
    & n5 = sum(n3,n2)
    & n0 = sum(n28,n3)
    & n16 = sum(n24,n23)
    & n0 != n4
    & n15 = sum(n12,n3)
    & n28 = sum(n6,n22)
    & n2 = sum(n30,n3)
    & n24 = sum(n29,n26)
    & n25 = sum(n6,n19)
    & succ(n11) = n12
    & n7 = sum(n27,n11)
    & n4 = sum(n23,n12)
    & n20 != n23
    & n1 != n18
    & n6 = sum(n30,n7)
    & n28 = sum(n12,n16)
    & n10 = sum(n23,n18)
    & n6 != n9
    & n28 = sum(n10,n18)
    & n23 != n25
    & n9 != n20
    & n3 = sum(n6,n28)
    & n8 != n22
    & n23 = sum(n9,n14)
    & n8 = sum(n26,n13)
    & n3 != n12
    & n4 != n21
    & n1 != n4
    & n0 = sum(n18,n13)
    & n0 != n17
    & n3 = sum(n7,n27)
    & n26 = sum(n17,n9)
    & n4 != n30
    & n5 != n29
    & n15 != n16
    & n18 = sum(n12,n6)
    & n21 = sum(n9,n12)
    & n30 = sum(n19,n11)
    & n15 = sum(n26,n20)
    & n10 = sum(n1,n9)
    & n2 = sum(n8,n25)
    & n19 = pred(n20)
    & n20 = sum(n27,n24)
    & n4 != n8
    & n3 = sum(n17,n17)
    & n29 = sum(n8,n21)
    & n10 != n24
    & n21 != n30
    & n1 != n17
    & n3 != n22
    & n13 != n19
    & n7 = sum(n5,n2)
    & n21 != n28
    & n30 = sum(n16,n14)
    & n4 = sum(n26,n9)
    & n4 = sum(n13,n22)
    & n14 != n23
    & n11 = sum(n15,n27)
    & n7 != n10
    & n11 = sum(n22,n20)
    & n16 = sum(n25,n22)
    & succ(n29) = n30
    & n3 = sum(n19,n15)
    & n28 = sum(n17,n11)
    & n20 = sum(n24,n27)
    & n20 = sum(n22,n29)
    & n3 = sum(n30,n4)
    & n22 = sum(n4,n18)
    & n4 != n25
    & n11 = sum(n30,n12)
    & n11 = sum(n2,n9)
    & n15 = pred(n16)
    & n3 != n18
    & n6 != n24
    & n14 = sum(n14,n0)
    & n8 = sum(n2,n6)
    & n27 = sum(n10,n17)
    & n7 != n30
    & n9 = sum(n8,n1)
    & n21 = sum(n13,n8)
    & n15 = sum(n5,n10)
    & n0 = sum(n20,n11)
    & succ(n22) = n23
    & n16 = sum(n17,n30)
    & n15 != n28
    & n19 != n26
    & n5 = sum(n5,n0)
    & n28 = sum(n4,n24)
    & n3 = sum(n26,n8)
    & n14 != n18
    & n11 = sum(n23,n19)
    & n16 = sum(n27,n20)
    & n30 = sum(n3,n27)
    & n25 = sum(n23,n2)
    & n30 = sum(n14,n16)
    & n20 = sum(n17,n3)
    & n30 = sum(n12,n18)
    & n22 = sum(n12,n10)
    & n4 != n28
    & n21 != n26
    & n0 = sum(n4,n27)
    & n29 = pred(n30)
    & n23 = sum(n10,n13)
    & n28 = sum(n20,n8)
    & n26 = sum(n20,n6)
    & n22 = sum(n27,n26)
    & n10 = sum(n11,n30)
    & n0 = sum(n26,n5)
    & n9 != n12
    & n3 != n14
    & n3 = sum(n13,n21)
    & n11 = sum(n9,n2)
    & n4 = sum(n29,n6)
    & n23 = sum(n17,n6)
    & succ(n1) = n2
    & n6 = sum(n20,n17)
    & n13 = sum(n5,n8)
    & n3 != n15
    & n15 != n23
    & n12 = sum(n29,n14)
    & n7 = sum(n17,n21)
    & n19 != n25
    & n21 = sum(n5,n16)
    & n19 = sum(n8,n11)
    & n5 != n20
    & n14 = sum(n18,n27)
    & n2 = sum(n24,n9)
    & n4 = sum(n4,n0)
    & n8 != n24
    & n29 = sum(n10,n19)
    & n11 != n14
    & n3 = pred(n4)
    & n2 = sum(n14,n19)
    & n25 = sum(n27,n29)
    & n0 = sum(n0,n0)
    & n22 = sum(n6,n16)
    & n8 = sum(n3,n5)
    & n18 = sum(n27,n22)
    & n28 = sum(n27,n1)
    & n8 != n29
    & n12 != n16
    & n2 != n25
    & n4 = sum(n8,n27)
    & n9 != n13
    & n1 != n29
    & n4 = sum(n12,n23)
    & n5 != n9
    & n17 = sum(n28,n20)
    & n22 = sum(n2,n20)
    & n7 != n14
    & n19 = sum(n6,n13)
    & n21 = sum(n8,n13)
    & n10 != n12
    & n13 = sum(n8,n5)
    & n12 = sum(n27,n16)
    & n27 != n28
    & n28 = sum(n26,n2)
    & n5 != n30
    & n26 = sum(n26,n0)
    & n8 = sum(n22,n17)
    & n10 = sum(n25,n16)
    & n7 = sum(n25,n13)
    & n6 = pred(n7)
    & n14 = sum(n25,n20)
    & n12 = sum(n14,n29)
    & n11 = sum(n18,n24)
    & n14 = sum(n1,n13)
    & n7 = sum(n20,n18)
    & n4 != n18
    & n11 = sum(n26,n16)
    & n16 = sum(n20,n27)
    & n22 = sum(n11,n11)
    & n14 != n19
    & n8 = sum(n11,n28)
    & n25 = pred(n26)
    & n11 != n22
    & n2 = sum(n15,n18)
    & n20 = sum(n15,n5)
    & n11 = sum(n3,n8)
    & n5 != n24
    & n0 != n18
    & n0 = sum(n12,n19)
    & n22 = sum(n25,n28)
    & n11 != n30
    & n23 = sum(n14,n9)
    & n28 = sum(n14,n14)
    & n9 = pred(n10)
    & n7 != n23
    & n2 != n4
    & n16 = sum(n30,n17)
    & n2 = sum(n26,n7)
    & n15 != n25
    & n1 = sum(n25,n7)
    & n16 = sum(n26,n21)
    & n25 = sum(n9,n16)
    & n30 = sum(n2,n28)
    & n20 = sum(n25,n26)
    & n6 = sum(n22,n15)
    & n8 = sum(n0,n8)
    & n11 = sum(n1,n10)
    & n30 = sum(n29,n1)
    & n17 != n20
    & n3 != n8
    & n24 = sum(n11,n13)
    & n17 = sum(n19,n29)
    & n21 = sum(n28,n24)
    & n4 = sum(n27,n8)
    & n0 != n11
    & n9 = sum(n5,n4)
    & n0 != n21
    & n7 = sum(n24,n14)
    & n5 = sum(n18,n18)
    & n17 = sum(n15,n2)
    & succ(n2) = n3
    & n2 = sum(n7,n26)
    & n26 = sum(n0,n26)
    & n7 != n18
    & n9 != n29
    & n12 != n19
    & n15 = sum(n14,n1)
    & n1 = sum(n10,n22)
    & n3 = sum(n14,n20)
    & n8 = sum(n4,n4)
    & n12 = sum(n17,n26)
    & succ(n25) = n26
    & n18 = sum(n13,n5)
    & n18 != n20
    & n28 = sum(n9,n19)
    & n1 = sum(n12,n20)
    & n2 = sum(n10,n23)
    & n18 = sum(n21,n28)
    & n10 = sum(n30,n11)
    & n13 = sum(n14,n30)
    & n9 = sum(n22,n18)
    & n29 = sum(n15,n14)
    & n5 != n19
    & n8 = sum(n7,n1)
    & n2 = sum(n23,n10)
    & n11 = sum(n6,n5)
    & n28 = sum(n21,n7)
    & n5 != n7
    & n10 != n30
    & n13 != n27
    & n15 != n30
    & n14 != n27
    & n20 = sum(n0,n20)
    & n9 = sum(n10,n30)
    & n5 != n22
    & n19 != n27
    & n17 = sum(n5,n12)
    & n4 = sum(n30,n5)
    & n7 != n28
    & n30 = sum(n30,n0)
    & n18 = sum(n16,n2)
    & n23 = sum(n6,n17)
    & n5 != n13
    & n13 != n20
    & n1 != n8
    & n5 = sum(n9,n27)
    & n21 = sum(n25,n27)
    & n21 = sum(n7,n14)
    & succ(n17) = n18
    & n14 = sum(n28,n17)
    & n20 = sum(n14,n6)
    & n20 = sum(n1,n19)
    & n22 != n25
    & n4 != n26
    & n0 != n16
    & n16 = sum(n7,n9)
    & n14 != n17
    & n25 = sum(n17,n8)
    & n23 = sum(n30,n24)
    & succ(n9) = n10
    & n27 = sum(n24,n3)
    & n4 = sum(n9,n26)
    & n25 = sum(n15,n10)
    & n8 != n9
    & n11 != n19
    & n7 != n8
    & n13 != n24
    & n1 != n19
    & n1 != n25
    & n15 = sum(n19,n27)
    & n4 != n29
    & n30 = sum(n10,n20)
    & n24 = sum(n18,n6)
    & n11 = sum(n8,n3)
    & n1 = sum(n11,n21)
    & n22 = sum(n19,n3)
    & n27 = sum(n22,n5)
    & n20 != n29
    & n1 = sum(n2,n30)
    & n11 != n12
    & n15 != n18
    & n18 = sum(n28,n21)
    & n0 = sum(n14,n17)
    & n5 = sum(n21,n15)
    & n3 != n23
    & n10 = sum(n24,n17)
    & n26 = sum(n14,n12)
    & n13 = sum(n7,n6)
    & n6 != n16
    & n16 = sum(n11,n5)
    & n7 = sum(n28,n10)
    & n9 = sum(n11,n29)
    & n19 = sum(n5,n14)
    & n1 = sum(n30,n2)
    & n20 != n30
    & n27 = sum(n20,n7)
    & n3 = sum(n8,n26)
    & n7 != n17
    & n10 = sum(n9,n1)
    & n19 = sum(n4,n15)
    & n8 = sum(n6,n2)
    & n8 != n18
    & n7 = sum(n26,n12)
    & n15 = sum(n16,n30)
    & n24 != n25
    & n5 = sum(n4,n1)
    & n3 != n17
    & n8 = sum(n12,n27)
    & n14 = sum(n4,n10)
    & n10 != n21
    & n2 = sum(n0,n2)
    & n24 = sum(n19,n5)
    & succ(n4) = n5
    & n6 != n14
    & n23 = sum(n22,n1)
    & n16 = sum(n19,n28)
    & n6 != n11
    & succ(n8) = n9
    & n7 != n29
    & n7 != n26
    & n15 != n29
    & n1 != n24
    & n13 != n23
    & n27 = sum(n9,n18)
    & n1 = sum(n4,n28)
    & n4 = sum(n17,n18)
    & n29 = sum(n4,n25)
    & n19 = sum(n9,n10)
    & n7 != n21
    & n22 = sum(n0,n22)
    & n14 != n29
    & n6 = sum(n28,n9)
    & n6 != n26
    & n30 = sum(n6,n24)
    & n15 = sum(n27,n19)
    & n24 = sum(n20,n4)
    & n10 != n17
    & n23 = sum(n12,n11)
    & n7 != n22
    & n10 = sum(n18,n23)
    & n9 = sum(n16,n24)
    & n3 != n30
    & n9 = sum(n17,n23)
    & n17 != n22
    & n12 = sum(n11,n1)
    & n18 = sum(n9,n9)
    & n28 != n30
    & n3 != n25
    & n14 = sum(n26,n19)
    & n21 != n23
    & n5 != n6
    & n4 = sum(n22,n13)
    & n18 = sum(n18,n0)
    & n20 = sum(n29,n22)
    & n9 = sum(n29,n11)
    & n19 != n30
    & n6 = sum(n12,n25)
    & n1 = sum(n24,n8)
    & n18 != n27
    & n2 = sum(n12,n21)
    & n24 = sum(n24,n0)
    & n19 != n22
    & n2 = sum(n6,n27)
    & n22 = sum(n17,n5)
    & n11 != n25
    & n6 != n12
    & n12 = sum(n0,n12)
    & n19 != n20
    & n8 = sum(n30,n9)
    & n26 = sum(n27,n30)
    & n9 != n24
    & n1 = sum(n15,n17)
    & n27 = sum(n7,n20)
    & n25 = sum(n1,n24)
    & n2 != n3
    & n4 = sum(n6,n29)
    & n1 != n23
    & n14 != n26
    & n13 = sum(n15,n29)
    & n10 != n23
    & n17 = sum(n26,n22)
    & n18 = sum(n29,n20)
    & n26 = sum(n3,n23)
    & n17 = sum(n21,n27)
    & n18 = sum(n5,n13)
    & n8 != n19
    & n5 != n11
    & n15 = sum(n7,n8)
    & n0 != n8
    & n16 = sum(n9,n7)
    & n24 != n30
    & n13 = sum(n29,n15)
    & n23 = sum(n13,n10)
    & n9 = sum(n24,n16)
    & n15 = sum(n30,n16)
    & n19 = sum(n18,n1)
    & n21 = sum(n1,n20)
    & n27 = sum(n30,n28)
    & n3 != n26
    & n0 != n20
    & n20 = sum(n6,n14)
    & n22 = sum(n10,n12)
    & n23 = sum(n21,n2)
    & n6 = sum(n26,n11)
    & n3 != n11
    & n16 != n21
    & n15 = sum(n17,n29)
    & n13 = sum(n22,n22)
    & n7 = sum(n0,n7)
    & n11 = sum(n0,n11)
    & n2 != n27
    & n5 = sum(n1,n4)
    & n7 = sum(n15,n23)
    & n8 != n10
    & n22 != n30
    & n6 = sum(n15,n22)
    & succ(n14) = n15
    & n17 != n26
    & n14 = pred(n15)
    & n17 != n27
    & succ(n0) = n1
    & n3 = sum(n27,n7)
    & n13 != n14
    & n8 = sum(n14,n25)
    & n15 != n26
    & n12 = sum(n9,n3)
    & n12 != n22
    & n26 = sum(n19,n7)
    & n2 != n24
    & n14 = sum(n20,n25)
    & n10 != n20
    & n26 = sum(n28,n29)
    & n14 = sum(n12,n2)
    & n6 != n20
    & n16 != n17
    & n29 = sum(n20,n9)
    & n11 = sum(n24,n18)
    & n16 = sum(n16,n0)
    & n22 = sum(n22,n0)
    & n1 != n15
    & n21 = sum(n19,n2)
    & n10 != n22
    & n6 != n15
    & n18 = sum(n24,n25)
    & n15 = sum(n21,n25)
    & n8 != n15
    & n27 = sum(n28,n30)
    & n22 = sum(n18,n4)
    & n23 = sum(n7,n16)
    & n30 = sum(n21,n9)
    & n10 = sum(n17,n24)
    & n3 != n13
    & n15 = sum(n20,n26)
    & n12 != n17
    & n25 = sum(n20,n5)
    & n8 != n17
    & n1 = sum(n0,n1)
    & n9 = sum(n28,n12)
    & n29 = sum(n13,n16)
    & n13 = sum(n27,n17)
    & n0 != n15
    & n17 != n30
    & n30 = sum(n20,n10)
    & n1 != n3
    & n29 = sum(n11,n18)
    & n1 != n28
    & n16 = sum(n22,n25)
    & n15 = sum(n13,n2)
    & n2 != n29
    & n18 != n22
    & n1 = sum(n14,n18)
    & n28 = sum(n8,n20)
    & n2 != n9
    & n1 != n16
    & n15 = sum(n29,n17)
    & n12 = sum(n5,n7)
    & n24 = sum(n7,n17)
    & n27 = sum(n18,n9)
    & n11 != n18
    & n13 = sum(n2,n11)
    & n13 = sum(n16,n28)
    & n17 = sum(n4,n13)
    & n2 = sum(n9,n24)
    & n27 = sum(n23,n4)
    & n10 = sum(n26,n15)
    & n14 = sum(n15,n30)
    & n10 = sum(n16,n25)
    & n0 != n12
    & n24 = sum(n14,n10)
    & n2 = sum(n5,n28)
    & n13 = sum(n21,n23)
    & n16 != n23
    & n26 != n27
    & n4 = sum(n16,n19)
    & n22 = sum(n16,n6)
    & n28 = sum(n30,n29)
    & n3 = sum(n5,n29)
    & n6 = sum(n2,n4)
    & n5 = sum(n15,n21)
    & n6 = sum(n19,n18)
    & n5 = sum(n23,n13)
    & n6 != n28
    & n22 = sum(n5,n17)
    & n0 = sum(n16,n15)
    & n29 = sum(n18,n11)
    & n17 = sum(n29,n19)
    & n23 = sum(n23,n0)
    & n0 != n6
    & n9 = sum(n20,n20)
    & n14 != n21
    & n6 != n10
    & n22 = sum(n28,n25)
    & n17 = sum(n0,n17)
    & n1 = sum(n16,n16)
    & n8 = pred(n9)
    & n18 != n19
    & n3 = sum(n1,n2)
    & n22 != n26
    & n12 = sum(n10,n2)
    & n2 = sum(n13,n20)
    & n6 = sum(n16,n21)
    & n17 != n24
    & n6 = sum(n8,n29)
    & n9 = sum(n7,n2)
    & n17 = sum(n18,n30)
    & n20 = sum(n7,n13)
    & n28 = sum(n23,n5)
    & n25 = sum(n21,n4)
    & n20 = sum(n16,n4)
    & n6 = sum(n24,n13)
    & n12 = sum(n23,n20)
    & n12 = sum(n22,n21)
    & n4 = sum(n24,n11)
    & n24 != n29
    & n9 = sum(n21,n19)
    & n7 != n19
    & n20 != n27
    & n1 = sum(n8,n24)
    & n7 != n11
    & n10 = sum(n10,n0)
    & n25 = sum(n13,n12)
    & n5 != n10
    & n16 = sum(n1,n15)
    & n8 != n25
    & n12 != n26
    & n27 = sum(n12,n15)
    & n25 = sum(n14,n11)
    & n23 != n26
    & n9 != n28
    & n19 = sum(n2,n17)
    & n10 = sum(n7,n3)
    & n23 != n28
    & n6 != n27
    & n30 = sum(n18,n12)
    & n1 = sum(n9,n23)
    & n8 = sum(n27,n12)
    & n1 != n5
    & n17 = sum(n23,n25)
    & n28 = sum(n3,n25)
    & n14 != n25
    & n13 != n30
    & n2 != n17
    & n17 != n21
    & n30 = sum(n17,n13)
    & n1 != n2
    & n21 = sum(n12,n9)
    & n9 = sum(n19,n21)
    & succ(n16) = n17
    & n2 = sum(n19,n14)
    & n14 = sum(n19,n26)
    & n3 = sum(n28,n6)
    & n12 = sum(n12,n0)
    & n11 != n27
    & n10 = sum(n12,n29)
    & n26 = sum(n7,n19)
    & n5 = sum(n20,n16)
    & n5 != n12
    & n14 = sum(n27,n18)
    & n14 = sum(n23,n22)
    & n29 = sum(n9,n20)
    & n4 != n13
    & n2 != n30
    & n1 != n21
    & n19 = sum(n14,n5)
    & n3 != n7
    & n12 != n21
    & n7 = sum(n21,n17)
    & n13 = sum(n17,n27)
    & n11 != n21
    & n8 != n16
    & n11 != n28
    & n19 = sum(n24,n26)
    & n0 != n30
    & n22 = sum(n15,n7)
    & n9 != n22
    & n19 != n24
    & succ(n21) = n22
    & n8 != n28
    & n15 = sum(n9,n6)
    & n4 = sum(n25,n10)
    & n6 = sum(n6,n0)
    & n6 != n18
    & n8 != n11
    & n4 = pred(n5)
    & n15 != n27
    & n9 != n18
    & n10 != n26
    & n14 = sum(n21,n24)
    & n25 = sum(n16,n9)
    & n6 = sum(n17,n20)
    & n14 != n22
    & n29 = sum(n16,n13)
    & n5 != n8
    & n1 = sum(n29,n3)
    & n4 != n16
    & n18 = sum(n7,n11)
    & n18 = sum(n2,n16)
    & n12 != n24
    & n0 != n19
    & n26 = sum(n29,n28)
    & n21 = sum(n21,n0)
    & n29 = sum(n14,n15)
    & n27 = sum(n29,n29)
    & n26 = sum(n16,n10)
    & n5 != n17
    & n16 = sum(n12,n4)
    & n18 = sum(n15,n3)
    & n10 != n16
    & n0 != n7
    & n8 != n12
    & n3 = sum(n11,n23)
    & n27 != n29
    & n16 = sum(n23,n24)
    & n16 = sum(n2,n14)
    & n24 = sum(n9,n15)
    & n27 = sum(n0,n27)
    & n0 = sum(n11,n20)
    & n11 != n16
    & n10 = sum(n27,n14)
    & n7 != n12
    & n28 = sum(n29,n30)
    & n29 = sum(n17,n12)
    & n22 = sum(n20,n2)
    & n0 = succ(n30)
    & succ(n20) = n21
    & n4 = sum(n20,n15)
    & n29 = sum(n29,n0)
    & n18 != n21
    & n25 = sum(n18,n7)
    & n29 = sum(n19,n10)
    & n22 = sum(n21,n1)
    & n7 = sum(n7,n0)
    & n18 = sum(n19,n30)
    & n19 = sum(n26,n24)
    & n10 = sum(n2,n8)
    & succ(n7) = n8
    & n13 = sum(n13,n0)
    & n10 = sum(n0,n10)
    & n9 = sum(n30,n10)
    & n16 != n20
    & n17 = sum(n3,n14)
    & n30 = sum(n1,n29)
    & n7 != n25
    & n23 != n29
    & n10 = sum(n29,n12)
    & n12 = sum(n21,n22)
    & n20 = sum(n18,n2)
    & n2 = pred(n3)
    & n26 = sum(n18,n8)
    & n1 = sum(n22,n10)
    & n12 = sum(n25,n18)
    & succ(n26) = n27
    & n24 = sum(n2,n22)
    & n10 = pred(n11)
    & succ(n5) = n6
    & n0 = sum(n2,n29)
    & n3 != n28
    & n21 = sum(n22,n30)
    & n5 != n15
    & n7 != n15
    & n0 != n5
    & n23 = sum(n25,n29)
    & n10 = sum(n22,n19)
    & n2 = sum(n18,n15)
    & n1 != n6
    & n9 = sum(n0,n9)
    & n1 != n11
    & n4 != n5
    & n21 != n25
    & n7 = sum(n13,n25)
    & n30 = sum(n0,n30)
    & n6 = sum(n7,n30)
    & n15 = sum(n18,n28)
    & n25 = sum(n28,n28)
    & n18 = sum(n11,n7)
    & n11 != n20
    & n30 = sum(n4,n26)
    & n29 = sum(n12,n17)
    & n14 = sum(n6,n8)
    & n10 != n11
    & n6 = sum(n21,n16)
    & n2 != n26
    & n23 = sum(n1,n22)
    & n14 = sum(n5,n9)
    & n22 = sum(n14,n8)
    & n19 != n21
    & n26 = sum(n5,n21)
    & n11 = pred(n12)
    & n30 = sum(n8,n22)
    & n11 != n24
    & n1 != n9
    & n18 = sum(n20,n29)
    & n11 = sum(n16,n26)
    & n19 = sum(n17,n2)
    & n13 = sum(n9,n4)
    & n8 != n23
    & n27 = sum(n27,n0)
    & n25 != n26
    & n0 = sum(n5,n26)
    & n7 = sum(n23,n15)
    & succ(n19) = n20
    & n24 != n27
    & n28 = sum(n25,n3)
    & n3 = sum(n21,n13)
    & n20 = sum(n2,n18)
    & n9 != n23
    & n23 = sum(n16,n7)
    & n18 = sum(n10,n8)
    & n1 != n26
    & n10 = sum(n6,n4)
    & n9 = sum(n15,n25)
    & n21 != n27
    & n22 = sum(n30,n23)
    & n3 = sum(n9,n25)
    & n0 = sum(n3,n28)
    & n25 = sum(n7,n18)
    & n28 = sum(n7,n21)
    & n25 = sum(n2,n23)
    & n27 = sum(n6,n21)
    & n4 != n12
    & n5 = sum(n25,n11)
    & n1 = sum(n21,n11)
    & n2 = sum(n4,n29)
    & n9 = sum(n6,n3)
    & n28 = sum(n15,n13)
    & n18 = sum(n14,n4)
    & n4 != n22
    & n9 = sum(n12,n28)
    & n22 != n24
    & n20 = sum(n5,n15)
    & n26 != n29
    & n21 = sum(n15,n6)
    & n23 = sum(n3,n20)
    & n0 = sum(n9,n22)
    & n20 != n21
    & n7 = sum(n6,n1)
    & n14 = sum(n3,n11)
    & n13 != n17
    & n19 = sum(n22,n28)
    & n27 = sum(n5,n22)
    & n17 = sum(n1,n16)
    & n3 != n24
    & n9 != n11
    & n21 = sum(n18,n3)
    & n0 != n1
    & n19 = sum(n19,n0)
    & n17 = sum(n17,n0)
    & n14 = sum(n0,n14)
    & n29 = sum(n26,n3)
    & n22 = sum(n29,n24)
    & n25 = sum(n12,n13)
    & n4 != n14
    & n2 != n16
    & n9 = sum(n9,n0)
    & n27 = sum(n8,n19)
    & n17 = pred(n18)
    & n20 = sum(n9,n11)
    & n17 = sum(n11,n6)
    & n24 = sum(n6,n18)
    & n8 = sum(n25,n14)
    & n12 = sum(n1,n11)
    & n0 != n2
    & n18 = sum(n23,n26)
    & n0 != n28
    & n10 != n15
    & n19 = sum(n13,n6)
    & n1 = sum(n27,n5)
    & n7 != n27
    & n4 != n9
    & n26 = sum(n11,n15)
    & n17 != n29
    & n19 = sum(n29,n21)
    & n21 = sum(n6,n15)
    & n22 != n28
    & n10 = sum(n15,n26)
    & n30 = sum(n22,n8)
    & n19 = sum(n23,n27)
    & n24 = sum(n17,n7)
    & n3 != n19
    & n1 = sum(n28,n4)
    & n29 = sum(n7,n22)
    & n12 != n27
    & n4 = sum(n21,n14)
    & n5 = sum(n19,n17)
    & n21 != n24
    & n5 = sum(n27,n9)
    & n21 = sum(n30,n22)
    & n2 != n8
    & n23 = sum(n24,n30)
    & n21 = sum(n0,n21)
    & n20 = sum(n30,n21)
    & n29 = sum(n22,n7)
    & n15 = sum(n23,n23)
    & n14 = sum(n16,n29)
    & n21 = sum(n4,n17)
    & n23 = sum(n19,n4)
    & n3 = sum(n16,n18)
    & n5 = sum(n14,n22)
    & n5 = sum(n7,n29)
    & n30 = sum(n25,n5)
    & n7 = sum(n16,n22)
    & n15 = sum(n28,n18)
    & n20 != n22
    & n8 = sum(n23,n16)
    & n2 != n19
    & n12 = sum(n18,n25)
    & n4 = sum(n0,n4)
    & n30 = sum(n27,n3)
    & n18 != n29 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f2,f3]) ).

fof(f3,plain,
    ( ? [X0,X1] :
        ( n11 != n17
        & n17 != n19
        & n19 = sum(n0,n19)
        & n18 != n23
        & n2 != n10
        & n0 != n24
        & n0 = sum(n22,n9)
        & n4 != n6
        & n11 = sum(n19,n23)
        & n28 = sum(n0,n28)
        & n22 = sum(n24,n29)
        & n0 != n22
        & n1 != n12
        & n24 = sum(n28,n27)
        & n24 = sum(n26,n29)
        & n28 = sum(n19,n9)
        & n25 = sum(n30,n26)
        & n7 != n13
        & n28 = sum(n28,n0)
        & n21 = sum(n24,n28)
        & n28 = sum(n5,n23)
        & n0 = sum(n21,n10)
        & n17 = sum(n9,n8)
        & n13 = sum(n26,n18)
        & n1 != n30
        & n26 = sum(n1,n25)
        & n9 = sum(n13,n27)
        & n30 = pred(n0)
        & n30 = sum(n23,n7)
        & n12 != n25
        & n26 = sum(n4,n22)
        & n0 = sum(n25,n6)
        & n24 = sum(n5,n19)
        & n2 != n20
        & n3 = sum(n12,n22)
        & n26 = sum(n15,n11)
        & n19 = sum(n7,n12)
        & n9 = sum(n1,n8)
        & n12 = pred(n13)
        & n27 = sum(n15,n12)
        & n9 = sum(n2,n7)
        & succ(n3) = n4
        & n2 != n18
        & n11 = sum(n12,n30)
        & n25 = sum(n4,n21)
        & n4 = sum(n2,n2)
        & n15 = sum(n10,n5)
        & n23 = sum(n28,n26)
        & n22 = pred(n23)
        & n6 = sum(n25,n12)
        & n2 = sum(n17,n16)
        & n21 = sum(n20,n1)
        & n7 != n9
        & ( n29 = X1
          | n2 = X1
          | n6 = X1
          | n22 = X1
          | n0 = X1
          | n4 = X1
          | n18 = X1
          | n24 = X1
          | n3 = X1
          | n10 = X1
          | n20 = X1
          | n14 = X1
          | n30 = X1
          | n15 = X1
          | n23 = X1
          | n11 = X1
          | n27 = X1
          | n25 = X1
          | n19 = X1
          | n28 = X1
          | n21 = X1
          | n5 = X1
          | n26 = X1
          | n12 = X1
          | n9 = X1
          | n17 = X1
          | n7 = X1
          | n13 = X1
          | n8 = X1
          | n16 = X1
          | n1 = X1 )
        & n24 = sum(n23,n1)
        & n10 = sum(n5,n5)
        & n29 = sum(n1,n28)
        & n5 = sum(n16,n20)
        & n4 = sum(n5,n30)
        & n10 = sum(n20,n21)
        & n2 != n5
        & n11 != n23
        & n10 != n18
        & n2 = sum(n22,n11)
        & n22 != n23
        & n23 = sum(n26,n28)
        & n6 != n25
        & n29 = sum(n27,n2)
        & n25 = sum(n8,n17)
        & n14 = sum(n11,n3)
        & n30 = sum(n24,n6)
        & n5 = sum(n6,n30)
        & n6 = sum(n29,n8)
        & n22 = sum(n1,n21)
        & n11 != n29
        & n6 != n7
        & n24 = pred(n25)
        & n7 != n24
        & n30 = sum(n13,n17)
        & n7 = sum(n10,n28)
        & n19 = sum(n27,n23)
        & n30 = sum(n11,n19)
        & n9 != n16
        & n30 = sum(n9,n21)
        & n7 = sum(n30,n8)
        & n3 != n20
        & n13 != n25
        & n12 != n15
        & n9 != n30
        & n5 = sum(n2,n3)
        & n30 = sum(n28,n2)
        & n19 = sum(n16,n3)
        & n14 = sum(n24,n21)
        & n15 = sum(n11,n4)
        & n29 = sum(n28,n1)
        & n9 != n27
        & n10 != n14
        & n28 = sum(n24,n4)
        & n24 != n28
        & n26 = sum(n22,n4)
        & n12 = sum(n30,n13)
        & n16 = sum(n8,n8)
        & n1 = pred(n2)
        & n21 = sum(n10,n11)
        & n13 = sum(n11,n2)
        & n26 = sum(n2,n24)
        & n29 = sum(n6,n23)
        & n6 = sum(n23,n14)
        & n17 = sum(n20,n28)
        & n7 = sum(n14,n24)
        & n23 != n27
        & n25 = sum(n24,n1)
        & n20 = pred(n21)
        & n9 = sum(n25,n15)
        & n5 != n27
        & n13 != n15
        & n15 = sum(n1,n14)
        & n6 != n21
        & n2 = sum(n11,n22)
        & n16 != n22
        & n12 != n13
        & n29 != n30
        & n26 = sum(n13,n13)
        & n11 = sum(n5,n6)
        & n16 != n18
        & n18 = sum(n3,n15)
        & n21 = sum(n27,n25)
        & n15 = sum(n15,n0)
        & n2 = sum(n21,n12)
        & n8 = sum(n19,n20)
        & n2 = sum(n3,n30)
        & n6 = sum(n4,n2)
        & n13 = sum(n25,n19)
        & n3 = sum(n10,n24)
        & n22 = sum(n23,n30)
        & n24 = sum(n15,n9)
        & n11 = sum(n25,n17)
        & n23 = sum(n27,n27)
        & n14 = sum(n30,n15)
        & n7 = sum(n9,n29)
        & n23 = sum(n20,n3)
        & n5 = sum(n12,n24)
        & n4 = sum(n28,n7)
        & n11 = sum(n28,n14)
        & n4 != n10
        & n4 != n19
        & n5 != n18
        & n11 = sum(n29,n13)
        & n10 != n29
        & n21 = sum(n2,n19)
        & n20 = sum(n21,n30)
        & n27 = sum(n14,n13)
        & n8 = sum(n24,n15)
        & n6 = sum(n0,n6)
        & n15 = sum(n2,n13)
        & n19 = sum(n3,n16)
        & n1 = sum(n7,n25)
        & n16 != n25
        & n12 = sum(n7,n5)
        & n4 != n17
        & sum(sum(pred(X1),succ(X1)),sum(pred(X0),succ(X0))) != sum(sum(pred(X1),succ(X0)),sum(pred(X0),succ(X1)))
        & n24 = sum(n4,n20)
        & n18 = sum(n4,n14)
        & n18 = sum(n1,n17)
        & n21 != n22
        & n4 != n7
        & n12 = sum(n6,n6)
        & n1 != n20
        & n2 != n23
        & n23 = pred(n24)
        & n14 = sum(n9,n5)
        & n13 = sum(n28,n16)
        & n10 != n27
        & n1 = sum(n26,n6)
        & n15 != n19
        & n4 = sum(n10,n25)
        & n29 = sum(n3,n26)
        & n10 = sum(n8,n2)
        & n23 != n30
        & n14 != n24
        & n1 = sum(n1,n0)
        & n0 = sum(n30,n1)
        & n26 = sum(n23,n3)
        & n13 = sum(n30,n14)
        & n14 = sum(n8,n6)
        & n21 = sum(n23,n29)
        & n1 = sum(n19,n13)
        & n15 != n24
        & n0 = sum(n19,n12)
        & n19 = sum(n11,n8)
        & n0 != n13
        & n24 = sum(n25,n30)
        & n27 = sum(n2,n25)
        & n7 = sum(n18,n20)
        & n22 = sum(n3,n19)
        & n26 = sum(n25,n1)
        & n19 != n28
        & n22 = sum(n26,n27)
        & n9 != n17
        & n12 = sum(n13,n30)
        & n27 = sum(n4,n23)
        & n22 != n27
        & succ(n18) = n19
        & n12 = sum(n4,n8)
        & n30 = sum(n5,n25)
        & n30 = sum(n15,n15)
        & n0 = sum(n13,n18)
        & n2 != n11
        & n5 != n14
        & n16 != n29
        & n0 != n25
        & n26 = sum(n10,n16)
        & n25 != n28
        & n3 != n9
        & n20 != n26
        & n24 = sum(n12,n12)
        & n26 = sum(n8,n18)
        & n19 != n23
        & n20 != n24
        & n9 != n10
        & n24 = sum(n16,n8)
        & n19 = sum(n15,n4)
        & n8 = sum(n17,n22)
        & n8 != n26
        & n2 != n15
        & n27 = sum(n21,n6)
        & n12 = sum(n16,n27)
        & n8 = sum(n13,n26)
        & n6 != n19
        & n16 != n19
        & n6 = sum(n3,n3)
        & n28 != n29
        & n6 != n30
        & n0 != n10
        & n7 = sum(n11,n27)
        & n24 = sum(n10,n14)
        & n11 != n26
        & n11 = sum(n20,n22)
        & n4 = sum(n18,n17)
        & n25 != n30
        & n23 = sum(n4,n19)
        & n19 = sum(n28,n22)
        & n12 = sum(n26,n17)
        & n11 != n13
        & n13 != n29
        & n3 = sum(n3,n0)
        & n14 != n20
        & n5 = sum(n17,n19)
        & n10 = sum(n3,n7)
        & n6 != n23
        & n15 = sum(n6,n9)
        & n13 = sum(n6,n7)
        & n6 = sum(n14,n23)
        & n16 = sum(n28,n19)
        & n5 = sum(n28,n8)
        & succ(n10) = n11
        & n10 = sum(n21,n20)
        & n0 != n14
        & n2 = sum(n1,n1)
        & n18 != n25
        & n19 = sum(n30,n20)
        & n20 = sum(n20,n0)
        & ( n1 = X0
          | n29 = X0
          | n2 = X0
          | n14 = X0
          | n18 = X0
          | n16 = X0
          | n5 = X0
          | n27 = X0
          | n28 = X0
          | n10 = X0
          | n3 = X0
          | n0 = X0
          | n24 = X0
          | n17 = X0
          | n15 = X0
          | n9 = X0
          | n26 = X0
          | n13 = X0
          | n12 = X0
          | n20 = X0
          | n7 = X0
          | n4 = X0
          | n11 = X0
          | n23 = X0
          | n22 = X0
          | n25 = X0
          | n30 = X0
          | n21 = X0
          | n19 = X0
          | n6 = X0
          | n8 = X0 )
        & succ(n28) = n29
        & n6 = sum(n9,n28)
        & n4 != n20
        & n14 != n28
        & n9 = sum(n4,n5)
        & n22 = sum(n8,n14)
        & n5 != n25
        & n24 = sum(n1,n23)
        & n27 = sum(n1,n26)
        & n8 = sum(n5,n3)
        & n30 = sum(n26,n4)
        & n7 = sum(n8,n30)
        & n24 = sum(n30,n25)
        & n2 = sum(n25,n8)
        & n13 = sum(n24,n20)
        & n9 = sum(n27,n13)
        & n0 = sum(n23,n8)
        & n13 = pred(n14)
        & n18 = pred(n19)
        & n0 = sum(n7,n24)
        & n28 = sum(n1,n27)
        & n12 != n23
        & n3 != n5
        & n8 != n13
        & n25 = sum(n19,n6)
        & n8 = sum(n9,n30)
        & n24 = sum(n27,n28)
        & n18 = sum(n17,n1)
        & n6 = sum(n18,n19)
        & n0 = sum(n1,n30)
        & n17 = sum(n12,n5)
        & n23 = sum(n29,n25)
        & n10 != n25
        & n23 = sum(n2,n21)
        & n2 != n22
        & succ(n23) = n24
        & n9 != n21
        & n6 != n13
        & n13 != n18
        & n12 = sum(n19,n24)
        & n0 != n27
        & n7 = pred(n8)
        & n20 = sum(n13,n7)
        & n13 = sum(n23,n21)
        & n1 != n27
        & n16 != n24
        & n16 = sum(n6,n10)
        & n4 != n11
        & n27 = sum(n3,n24)
        & n18 = sum(n6,n12)
        & n6 = sum(n5,n1)
        & n3 = sum(n29,n5)
        & n3 = sum(n4,n30)
        & n6 != n22
        & n6 = sum(n10,n27)
        & n3 != n21
        & n16 != n26
        & n8 = sum(n16,n23)
        & succ(n6) = n7
        & n16 = sum(n14,n2)
        & n4 != n15
        & n12 != n18
        & n15 = sum(n0,n15)
        & n16 = sum(n29,n18)
        & n28 = sum(n22,n6)
        & n3 != n27
        & n29 = sum(n30,n30)
        & n18 = sum(n0,n18)
        & n1 = sum(n13,n19)
        & n6 = sum(n11,n26)
        & n7 = sum(n22,n16)
        & n3 = sum(n20,n14)
        & n21 = sum(n14,n7)
        & n27 = pred(n28)
        & n15 = sum(n25,n21)
        & n18 != n26
        & n2 != n7
        & n17 != n18
        & n8 != n20
        & n17 != n28
        & n26 = sum(n30,n27)
        & n4 = sum(n14,n21)
        & n17 = sum(n6,n11)
        & n5 != n28
        & n12 != n30
        & n28 = sum(n18,n10)
        & n22 = sum(n7,n15)
        & n6 = sum(n27,n10)
        & n16 = pred(n17)
        & n20 != n28
        & n3 = sum(n22,n12)
        & n10 = sum(n14,n27)
        & n10 != n13
        & n10 != n28
        & n25 = sum(n5,n20)
        & n11 != n15
        & n8 = sum(n10,n29)
        & n1 = sum(n23,n9)
        & n10 = sum(n4,n6)
        & n20 = sum(n12,n8)
        & n1 != n22
        & n12 != n29
        & n15 != n21
        & n13 != n26
        & n7 != n20
        & n16 != n30
        & n3 = sum(n24,n10)
        & n29 = sum(n25,n4)
        & n25 = sum(n11,n14)
        & n1 = sum(n5,n27)
        & n2 = sum(n29,n4)
        & n18 = sum(n22,n27)
        & n3 = sum(n2,n1)
        & n1 != n14
        & n8 = sum(n29,n10)
        & n13 != n21
        & n13 != n22
        & n14 != n16
        & n28 = pred(n29)
        & n4 = sum(n11,n24)
        & n4 = sum(n3,n1)
        & n9 = sum(n26,n14)
        & n21 = sum(n16,n5)
        & n5 = sum(n8,n28)
        & n18 = sum(n8,n10)
        & n3 = sum(n0,n3)
        & n3 = sum(n23,n11)
        & n9 != n15
        & n17 = sum(n25,n23)
        & n11 = sum(n10,n1)
        & n17 != n23
        & n14 = sum(n22,n23)
        & n12 = sum(n28,n15)
        & n23 = sum(n15,n8)
        & n5 != n23
        & n20 = sum(n4,n16)
        & n2 = sum(n28,n5)
        & n27 = sum(n16,n11)
        & n20 = sum(n28,n23)
        & n28 = sum(n2,n26)
        & n23 = sum(n5,n18)
        & n18 = sum(n25,n24)
        & n12 = sum(n24,n19)
        & n1 = sum(n6,n26)
        & n13 = sum(n0,n13)
        & n21 = pred(n22)
        & n12 = sum(n8,n4)
        & n2 != n14
        & n6 != n8
        & n17 = sum(n7,n10)
        & n15 != n20
        & n0 = sum(n29,n2)
        & n3 != n6
        & n4 = sum(n1,n3)
        & n11 = sum(n13,n29)
        & n23 = sum(n0,n23)
        & n17 = sum(n8,n9)
        & n0 != n29
        & n26 = sum(n9,n17)
        & n24 = sum(n8,n16)
        & n8 != n30
        & n0 != n26
        & succ(n24) = n25
        & n18 != n28
        & n2 != n13
        & n13 = sum(n19,n25)
        & n20 = sum(n3,n17)
        & n0 = sum(n24,n7)
        & n19 = sum(n12,n7)
        & n12 = sum(n3,n9)
        & n4 = sum(n19,n16)
        & n25 = sum(n10,n15)
        & n5 = sum(n30,n6)
        & n4 != n23
        & n11 = sum(n4,n7)
        & n5 != n26
        & n7 = sum(n1,n6)
        & n24 = sum(n3,n21)
        & n8 != n21
        & n19 = sum(n10,n9)
        & n25 = sum(n26,n30)
        & n13 = sum(n1,n12)
        & n16 = sum(n4,n12)
        & n8 = sum(n18,n21)
        & n16 != n27
        & n25 = sum(n0,n25)
        & n26 != n28
        & n5 = sum(n10,n26)
        & n17 = sum(n14,n3)
        & n27 = sum(n26,n1)
        & n9 != n19
        & n19 = sum(n21,n29)
        & n3 != n29
        & n21 = sum(n29,n23)
        & n25 = sum(n25,n0)
        & n3 = sum(n25,n9)
        & n19 != n29
        & n8 != n27
        & n28 = sum(n11,n17)
        & n25 = sum(n3,n22)
        & n9 = sum(n18,n22)
        & n5 = sum(n24,n12)
        & n7 = sum(n2,n5)
        & n13 = sum(n20,n24)
        & n13 = sum(n10,n3)
        & n20 != n25
        & n3 = sum(n15,n19)
        & n17 = sum(n10,n7)
        & n27 = sum(n13,n14)
        & succ(n13) = n14
        & n10 = sum(n28,n13)
        & n4 != n24
        & n29 = sum(n0,n29)
        & n30 = sum(n7,n23)
        & n8 = sum(n21,n18)
        & n3 != n16
        & n16 = sum(n5,n11)
        & n1 != n7
        & n20 = sum(n19,n1)
        & n8 != n14
        & n26 = sum(n21,n5)
        & n11 = sum(n14,n28)
        & n24 = sum(n13,n11)
        & n21 = sum(n17,n4)
        & n9 = sum(n14,n26)
        & n5 = sum(n11,n25)
        & n16 = sum(n15,n1)
        & n16 = sum(n13,n3)
        & n14 != n15
        & n4 = sum(n7,n28)
        & n15 = sum(n8,n7)
        & n24 = sum(n21,n3)
        & n27 = sum(n19,n8)
        & n16 = sum(n3,n13)
        & n12 != n14
        & n10 != n19
        & n9 != n25
        & n21 != n29
        & n7 = sum(n19,n19)
        & n3 = sum(n18,n16)
        & n1 = sum(n3,n29)
        & n14 != n30
        & n1 != n10
        & n17 = sum(n22,n26)
        & n18 != n30
        & n9 = sum(n3,n6)
        & n7 = sum(n4,n3)
        & succ(n15) = n16
        & n16 = sum(n21,n26)
        & n13 = sum(n12,n1)
        & n24 != n26
        & n12 != n20
        & n20 = sum(n10,n10)
        & n19 = sum(n25,n25)
        & n2 = sum(n2,n0)
        & n19 = sum(n1,n18)
        & n0 = sum(n10,n21)
        & n5 = sum(n0,n5)
        & n14 = sum(n10,n4)
        & n26 = sum(n6,n20)
        & n27 != n30
        & n4 = sum(n15,n20)
        & n14 = sum(n13,n1)
        & n2 != n12
        & n27 = sum(n11,n16)
        & n8 = sum(n1,n7)
        & n15 != n22
        & n0 != n23
        & n10 = sum(n13,n28)
        & n2 != n28
        & n13 != n28
        & n12 = sum(n15,n28)
        & n25 != n29
        & succ(n12) = n13
        & n20 = sum(n23,n28)
        & n6 != n17
        & n8 = sum(n15,n24)
        & n2 != n21
        & n17 = sum(n16,n1)
        & n5 = sum(n26,n10)
        & n15 = sum(n3,n12)
        & n21 = sum(n11,n10)
        & n17 = sum(n27,n21)
        & n8 = sum(n20,n19)
        & n15 != n17
        & n16 = sum(n0,n16)
        & n5 = sum(n13,n23)
        & n0 = sum(n15,n16)
        & n13 = sum(n18,n26)
        & n7 = sum(n3,n4)
        & n12 = sum(n20,n23)
        & n23 = sum(n18,n5)
        & n29 = sum(n23,n6)
        & n2 = sum(n16,n17)
        & n11 = sum(n21,n21)
        & n26 = sum(n24,n2)
        & n16 = sum(n10,n6)
        & n20 = sum(n11,n9)
        & n0 != n9
        & n13 != n16
        & n28 = sum(n13,n15)
        & n23 != n24
        & n14 = sum(n7,n7)
        & n29 = sum(n24,n5)
        & n17 = sum(n24,n24)
        & n25 = sum(n29,n27)
        & n2 = sum(n20,n13)
        & n0 = sum(n6,n25)
        & n0 = sum(n27,n4)
        & n1 = sum(n18,n14)
        & n5 != n21
        & n4 != n27
        & n28 = sum(n16,n12)
        & n22 = sum(n13,n9)
        & n17 = sum(n30,n18)
        & n29 = sum(n5,n24)
        & n18 = sum(n26,n23)
        & n9 != n14
        & n3 != n10
        & n2 = sum(n27,n6)
        & n7 = sum(n29,n9)
        & n23 = sum(n8,n15)
        & n15 = sum(n4,n11)
        & n22 = sum(n9,n13)
        & n5 = sum(n22,n14)
        & n25 = sum(n22,n3)
        & succ(n27) = n28
        & n8 = sum(n28,n11)
        & n1 = sum(n20,n12)
        & n23 = sum(n11,n12)
        & n14 = sum(n17,n28)
        & n9 != n26
        & n18 != n24
        & n11 = sum(n11,n0)
        & n25 != n27
        & n21 = sum(n26,n26)
        & n21 = sum(n3,n18)
        & n6 != n29
        & n14 = sum(n29,n16)
        & n2 != n6
        & n12 != n28
        & n22 != n29
        & n26 = sum(n12,n14)
        & n10 = sum(n19,n22)
        & n24 = sum(n22,n2)
        & n0 = sum(n17,n14)
        & n0 = sum(n8,n23)
        & n27 = sum(n17,n10)
        & n14 = sum(n2,n12)
        & n3 != n4
        & n7 = sum(n12,n26)
        & n27 = sum(n25,n2)
        & n13 = sum(n4,n9)
        & n15 = sum(n24,n22)
        & n11 = sum(n7,n4)
        & n5 = sum(n29,n7)
        & n12 = sum(n2,n10)
        & n6 = sum(n1,n5)
        & n18 = sum(n30,n19)
        & n11 = sum(n27,n15)
        & n20 = sum(n8,n12)
        & n0 != n3
        & n17 != n25
        & n7 != n16
        & n11 = sum(n17,n25)
        & n16 != n28
        & n24 = sum(n0,n24)
        & n16 = sum(n18,n29)
        & n29 = sum(n2,n27)
        & n0 = pred(n1)
        & n20 = sum(n26,n25)
        & n13 = sum(n3,n10)
        & n26 != n30
        & n9 = sum(n23,n17)
        & n5 = pred(n6)
        & n6 = sum(n13,n24)
        & n1 != n13
        & n29 = sum(n21,n8)
        & n19 = sum(n20,n30)
        & n1 = sum(n17,n15)
        & n17 = sum(n13,n4)
        & n15 = sum(n22,n24)
        & n8 = sum(n8,n0)
        & n26 = pred(n27)
        & n17 = sum(n2,n15)
        & n5 != n16
        & n5 = sum(n3,n2)
        & n0 = sum(n28,n3)
        & n16 = sum(n24,n23)
        & n0 != n4
        & n15 = sum(n12,n3)
        & n28 = sum(n6,n22)
        & n2 = sum(n30,n3)
        & n24 = sum(n29,n26)
        & n25 = sum(n6,n19)
        & succ(n11) = n12
        & n7 = sum(n27,n11)
        & n4 = sum(n23,n12)
        & n20 != n23
        & n1 != n18
        & n6 = sum(n30,n7)
        & n28 = sum(n12,n16)
        & n10 = sum(n23,n18)
        & n6 != n9
        & n28 = sum(n10,n18)
        & n23 != n25
        & n9 != n20
        & n3 = sum(n6,n28)
        & n8 != n22
        & n23 = sum(n9,n14)
        & n8 = sum(n26,n13)
        & n3 != n12
        & n4 != n21
        & n1 != n4
        & n0 = sum(n18,n13)
        & n0 != n17
        & n3 = sum(n7,n27)
        & n26 = sum(n17,n9)
        & n4 != n30
        & n5 != n29
        & n15 != n16
        & n18 = sum(n12,n6)
        & n21 = sum(n9,n12)
        & n30 = sum(n19,n11)
        & n15 = sum(n26,n20)
        & n10 = sum(n1,n9)
        & n2 = sum(n8,n25)
        & n19 = pred(n20)
        & n20 = sum(n27,n24)
        & n4 != n8
        & n3 = sum(n17,n17)
        & n29 = sum(n8,n21)
        & n10 != n24
        & n21 != n30
        & n1 != n17
        & n3 != n22
        & n13 != n19
        & n7 = sum(n5,n2)
        & n21 != n28
        & n30 = sum(n16,n14)
        & n4 = sum(n26,n9)
        & n4 = sum(n13,n22)
        & n14 != n23
        & n11 = sum(n15,n27)
        & n7 != n10
        & n11 = sum(n22,n20)
        & n16 = sum(n25,n22)
        & succ(n29) = n30
        & n3 = sum(n19,n15)
        & n28 = sum(n17,n11)
        & n20 = sum(n24,n27)
        & n20 = sum(n22,n29)
        & n3 = sum(n30,n4)
        & n22 = sum(n4,n18)
        & n4 != n25
        & n11 = sum(n30,n12)
        & n11 = sum(n2,n9)
        & n15 = pred(n16)
        & n3 != n18
        & n6 != n24
        & n14 = sum(n14,n0)
        & n8 = sum(n2,n6)
        & n27 = sum(n10,n17)
        & n7 != n30
        & n9 = sum(n8,n1)
        & n21 = sum(n13,n8)
        & n15 = sum(n5,n10)
        & n0 = sum(n20,n11)
        & succ(n22) = n23
        & n16 = sum(n17,n30)
        & n15 != n28
        & n19 != n26
        & n5 = sum(n5,n0)
        & n28 = sum(n4,n24)
        & n3 = sum(n26,n8)
        & n14 != n18
        & n11 = sum(n23,n19)
        & n16 = sum(n27,n20)
        & n30 = sum(n3,n27)
        & n25 = sum(n23,n2)
        & n30 = sum(n14,n16)
        & n20 = sum(n17,n3)
        & n30 = sum(n12,n18)
        & n22 = sum(n12,n10)
        & n4 != n28
        & n21 != n26
        & n0 = sum(n4,n27)
        & n29 = pred(n30)
        & n23 = sum(n10,n13)
        & n28 = sum(n20,n8)
        & n26 = sum(n20,n6)
        & n22 = sum(n27,n26)
        & n10 = sum(n11,n30)
        & n0 = sum(n26,n5)
        & n9 != n12
        & n3 != n14
        & n3 = sum(n13,n21)
        & n11 = sum(n9,n2)
        & n4 = sum(n29,n6)
        & n23 = sum(n17,n6)
        & succ(n1) = n2
        & n6 = sum(n20,n17)
        & n13 = sum(n5,n8)
        & n3 != n15
        & n15 != n23
        & n12 = sum(n29,n14)
        & n7 = sum(n17,n21)
        & n19 != n25
        & n21 = sum(n5,n16)
        & n19 = sum(n8,n11)
        & n5 != n20
        & n14 = sum(n18,n27)
        & n2 = sum(n24,n9)
        & n4 = sum(n4,n0)
        & n8 != n24
        & n29 = sum(n10,n19)
        & n11 != n14
        & n3 = pred(n4)
        & n2 = sum(n14,n19)
        & n25 = sum(n27,n29)
        & n0 = sum(n0,n0)
        & n22 = sum(n6,n16)
        & n8 = sum(n3,n5)
        & n18 = sum(n27,n22)
        & n28 = sum(n27,n1)
        & n8 != n29
        & n12 != n16
        & n2 != n25
        & n4 = sum(n8,n27)
        & n9 != n13
        & n1 != n29
        & n4 = sum(n12,n23)
        & n5 != n9
        & n17 = sum(n28,n20)
        & n22 = sum(n2,n20)
        & n7 != n14
        & n19 = sum(n6,n13)
        & n21 = sum(n8,n13)
        & n10 != n12
        & n13 = sum(n8,n5)
        & n12 = sum(n27,n16)
        & n27 != n28
        & n28 = sum(n26,n2)
        & n5 != n30
        & n26 = sum(n26,n0)
        & n8 = sum(n22,n17)
        & n10 = sum(n25,n16)
        & n7 = sum(n25,n13)
        & n6 = pred(n7)
        & n14 = sum(n25,n20)
        & n12 = sum(n14,n29)
        & n11 = sum(n18,n24)
        & n14 = sum(n1,n13)
        & n7 = sum(n20,n18)
        & n4 != n18
        & n11 = sum(n26,n16)
        & n16 = sum(n20,n27)
        & n22 = sum(n11,n11)
        & n14 != n19
        & n8 = sum(n11,n28)
        & n25 = pred(n26)
        & n11 != n22
        & n2 = sum(n15,n18)
        & n20 = sum(n15,n5)
        & n11 = sum(n3,n8)
        & n5 != n24
        & n0 != n18
        & n0 = sum(n12,n19)
        & n22 = sum(n25,n28)
        & n11 != n30
        & n23 = sum(n14,n9)
        & n28 = sum(n14,n14)
        & n9 = pred(n10)
        & n7 != n23
        & n2 != n4
        & n16 = sum(n30,n17)
        & n2 = sum(n26,n7)
        & n15 != n25
        & n1 = sum(n25,n7)
        & n16 = sum(n26,n21)
        & n25 = sum(n9,n16)
        & n30 = sum(n2,n28)
        & n20 = sum(n25,n26)
        & n6 = sum(n22,n15)
        & n8 = sum(n0,n8)
        & n11 = sum(n1,n10)
        & n30 = sum(n29,n1)
        & n17 != n20
        & n3 != n8
        & n24 = sum(n11,n13)
        & n17 = sum(n19,n29)
        & n21 = sum(n28,n24)
        & n4 = sum(n27,n8)
        & n0 != n11
        & n9 = sum(n5,n4)
        & n0 != n21
        & n7 = sum(n24,n14)
        & n5 = sum(n18,n18)
        & n17 = sum(n15,n2)
        & succ(n2) = n3
        & n2 = sum(n7,n26)
        & n26 = sum(n0,n26)
        & n7 != n18
        & n9 != n29
        & n12 != n19
        & n15 = sum(n14,n1)
        & n1 = sum(n10,n22)
        & n3 = sum(n14,n20)
        & n8 = sum(n4,n4)
        & n12 = sum(n17,n26)
        & succ(n25) = n26
        & n18 = sum(n13,n5)
        & n18 != n20
        & n28 = sum(n9,n19)
        & n1 = sum(n12,n20)
        & n2 = sum(n10,n23)
        & n18 = sum(n21,n28)
        & n10 = sum(n30,n11)
        & n13 = sum(n14,n30)
        & n9 = sum(n22,n18)
        & n29 = sum(n15,n14)
        & n5 != n19
        & n8 = sum(n7,n1)
        & n2 = sum(n23,n10)
        & n11 = sum(n6,n5)
        & n28 = sum(n21,n7)
        & n5 != n7
        & n10 != n30
        & n13 != n27
        & n15 != n30
        & n14 != n27
        & n20 = sum(n0,n20)
        & n9 = sum(n10,n30)
        & n5 != n22
        & n19 != n27
        & n17 = sum(n5,n12)
        & n4 = sum(n30,n5)
        & n7 != n28
        & n30 = sum(n30,n0)
        & n18 = sum(n16,n2)
        & n23 = sum(n6,n17)
        & n5 != n13
        & n13 != n20
        & n1 != n8
        & n5 = sum(n9,n27)
        & n21 = sum(n25,n27)
        & n21 = sum(n7,n14)
        & succ(n17) = n18
        & n14 = sum(n28,n17)
        & n20 = sum(n14,n6)
        & n20 = sum(n1,n19)
        & n22 != n25
        & n4 != n26
        & n0 != n16
        & n16 = sum(n7,n9)
        & n14 != n17
        & n25 = sum(n17,n8)
        & n23 = sum(n30,n24)
        & succ(n9) = n10
        & n27 = sum(n24,n3)
        & n4 = sum(n9,n26)
        & n25 = sum(n15,n10)
        & n8 != n9
        & n11 != n19
        & n7 != n8
        & n13 != n24
        & n1 != n19
        & n1 != n25
        & n15 = sum(n19,n27)
        & n4 != n29
        & n30 = sum(n10,n20)
        & n24 = sum(n18,n6)
        & n11 = sum(n8,n3)
        & n1 = sum(n11,n21)
        & n22 = sum(n19,n3)
        & n27 = sum(n22,n5)
        & n20 != n29
        & n1 = sum(n2,n30)
        & n11 != n12
        & n15 != n18
        & n18 = sum(n28,n21)
        & n0 = sum(n14,n17)
        & n5 = sum(n21,n15)
        & n3 != n23
        & n10 = sum(n24,n17)
        & n26 = sum(n14,n12)
        & n13 = sum(n7,n6)
        & n6 != n16
        & n16 = sum(n11,n5)
        & n7 = sum(n28,n10)
        & n9 = sum(n11,n29)
        & n19 = sum(n5,n14)
        & n1 = sum(n30,n2)
        & n20 != n30
        & n27 = sum(n20,n7)
        & n3 = sum(n8,n26)
        & n7 != n17
        & n10 = sum(n9,n1)
        & n19 = sum(n4,n15)
        & n8 = sum(n6,n2)
        & n8 != n18
        & n7 = sum(n26,n12)
        & n15 = sum(n16,n30)
        & n24 != n25
        & n5 = sum(n4,n1)
        & n3 != n17
        & n8 = sum(n12,n27)
        & n14 = sum(n4,n10)
        & n10 != n21
        & n2 = sum(n0,n2)
        & n24 = sum(n19,n5)
        & succ(n4) = n5
        & n6 != n14
        & n23 = sum(n22,n1)
        & n16 = sum(n19,n28)
        & n6 != n11
        & succ(n8) = n9
        & n7 != n29
        & n7 != n26
        & n15 != n29
        & n1 != n24
        & n13 != n23
        & n27 = sum(n9,n18)
        & n1 = sum(n4,n28)
        & n4 = sum(n17,n18)
        & n29 = sum(n4,n25)
        & n19 = sum(n9,n10)
        & n7 != n21
        & n22 = sum(n0,n22)
        & n14 != n29
        & n6 = sum(n28,n9)
        & n6 != n26
        & n30 = sum(n6,n24)
        & n15 = sum(n27,n19)
        & n24 = sum(n20,n4)
        & n10 != n17
        & n23 = sum(n12,n11)
        & n7 != n22
        & n10 = sum(n18,n23)
        & n9 = sum(n16,n24)
        & n3 != n30
        & n9 = sum(n17,n23)
        & n17 != n22
        & n12 = sum(n11,n1)
        & n18 = sum(n9,n9)
        & n28 != n30
        & n3 != n25
        & n14 = sum(n26,n19)
        & n21 != n23
        & n5 != n6
        & n4 = sum(n22,n13)
        & n18 = sum(n18,n0)
        & n20 = sum(n29,n22)
        & n9 = sum(n29,n11)
        & n19 != n30
        & n6 = sum(n12,n25)
        & n1 = sum(n24,n8)
        & n18 != n27
        & n2 = sum(n12,n21)
        & n24 = sum(n24,n0)
        & n19 != n22
        & n2 = sum(n6,n27)
        & n22 = sum(n17,n5)
        & n11 != n25
        & n6 != n12
        & n12 = sum(n0,n12)
        & n19 != n20
        & n8 = sum(n30,n9)
        & n26 = sum(n27,n30)
        & n9 != n24
        & n1 = sum(n15,n17)
        & n27 = sum(n7,n20)
        & n25 = sum(n1,n24)
        & n2 != n3
        & n4 = sum(n6,n29)
        & n1 != n23
        & n14 != n26
        & n13 = sum(n15,n29)
        & n10 != n23
        & n17 = sum(n26,n22)
        & n18 = sum(n29,n20)
        & n26 = sum(n3,n23)
        & n17 = sum(n21,n27)
        & n18 = sum(n5,n13)
        & n8 != n19
        & n5 != n11
        & n15 = sum(n7,n8)
        & n0 != n8
        & n16 = sum(n9,n7)
        & n24 != n30
        & n13 = sum(n29,n15)
        & n23 = sum(n13,n10)
        & n9 = sum(n24,n16)
        & n15 = sum(n30,n16)
        & n19 = sum(n18,n1)
        & n21 = sum(n1,n20)
        & n27 = sum(n30,n28)
        & n3 != n26
        & n0 != n20
        & n20 = sum(n6,n14)
        & n22 = sum(n10,n12)
        & n23 = sum(n21,n2)
        & n6 = sum(n26,n11)
        & n3 != n11
        & n16 != n21
        & n15 = sum(n17,n29)
        & n13 = sum(n22,n22)
        & n7 = sum(n0,n7)
        & n11 = sum(n0,n11)
        & n2 != n27
        & n5 = sum(n1,n4)
        & n7 = sum(n15,n23)
        & n8 != n10
        & n22 != n30
        & n6 = sum(n15,n22)
        & succ(n14) = n15
        & n17 != n26
        & n14 = pred(n15)
        & n17 != n27
        & succ(n0) = n1
        & n3 = sum(n27,n7)
        & n13 != n14
        & n8 = sum(n14,n25)
        & n15 != n26
        & n12 = sum(n9,n3)
        & n12 != n22
        & n26 = sum(n19,n7)
        & n2 != n24
        & n14 = sum(n20,n25)
        & n10 != n20
        & n26 = sum(n28,n29)
        & n14 = sum(n12,n2)
        & n6 != n20
        & n16 != n17
        & n29 = sum(n20,n9)
        & n11 = sum(n24,n18)
        & n16 = sum(n16,n0)
        & n22 = sum(n22,n0)
        & n1 != n15
        & n21 = sum(n19,n2)
        & n10 != n22
        & n6 != n15
        & n18 = sum(n24,n25)
        & n15 = sum(n21,n25)
        & n8 != n15
        & n27 = sum(n28,n30)
        & n22 = sum(n18,n4)
        & n23 = sum(n7,n16)
        & n30 = sum(n21,n9)
        & n10 = sum(n17,n24)
        & n3 != n13
        & n15 = sum(n20,n26)
        & n12 != n17
        & n25 = sum(n20,n5)
        & n8 != n17
        & n1 = sum(n0,n1)
        & n9 = sum(n28,n12)
        & n29 = sum(n13,n16)
        & n13 = sum(n27,n17)
        & n0 != n15
        & n17 != n30
        & n30 = sum(n20,n10)
        & n1 != n3
        & n29 = sum(n11,n18)
        & n1 != n28
        & n16 = sum(n22,n25)
        & n15 = sum(n13,n2)
        & n2 != n29
        & n18 != n22
        & n1 = sum(n14,n18)
        & n28 = sum(n8,n20)
        & n2 != n9
        & n1 != n16
        & n15 = sum(n29,n17)
        & n12 = sum(n5,n7)
        & n24 = sum(n7,n17)
        & n27 = sum(n18,n9)
        & n11 != n18
        & n13 = sum(n2,n11)
        & n13 = sum(n16,n28)
        & n17 = sum(n4,n13)
        & n2 = sum(n9,n24)
        & n27 = sum(n23,n4)
        & n10 = sum(n26,n15)
        & n14 = sum(n15,n30)
        & n10 = sum(n16,n25)
        & n0 != n12
        & n24 = sum(n14,n10)
        & n2 = sum(n5,n28)
        & n13 = sum(n21,n23)
        & n16 != n23
        & n26 != n27
        & n4 = sum(n16,n19)
        & n22 = sum(n16,n6)
        & n28 = sum(n30,n29)
        & n3 = sum(n5,n29)
        & n6 = sum(n2,n4)
        & n5 = sum(n15,n21)
        & n6 = sum(n19,n18)
        & n5 = sum(n23,n13)
        & n6 != n28
        & n22 = sum(n5,n17)
        & n0 = sum(n16,n15)
        & n29 = sum(n18,n11)
        & n17 = sum(n29,n19)
        & n23 = sum(n23,n0)
        & n0 != n6
        & n9 = sum(n20,n20)
        & n14 != n21
        & n6 != n10
        & n22 = sum(n28,n25)
        & n17 = sum(n0,n17)
        & n1 = sum(n16,n16)
        & n8 = pred(n9)
        & n18 != n19
        & n3 = sum(n1,n2)
        & n22 != n26
        & n12 = sum(n10,n2)
        & n2 = sum(n13,n20)
        & n6 = sum(n16,n21)
        & n17 != n24
        & n6 = sum(n8,n29)
        & n9 = sum(n7,n2)
        & n17 = sum(n18,n30)
        & n20 = sum(n7,n13)
        & n28 = sum(n23,n5)
        & n25 = sum(n21,n4)
        & n20 = sum(n16,n4)
        & n6 = sum(n24,n13)
        & n12 = sum(n23,n20)
        & n12 = sum(n22,n21)
        & n4 = sum(n24,n11)
        & n24 != n29
        & n9 = sum(n21,n19)
        & n7 != n19
        & n20 != n27
        & n1 = sum(n8,n24)
        & n7 != n11
        & n10 = sum(n10,n0)
        & n25 = sum(n13,n12)
        & n5 != n10
        & n16 = sum(n1,n15)
        & n8 != n25
        & n12 != n26
        & n27 = sum(n12,n15)
        & n25 = sum(n14,n11)
        & n23 != n26
        & n9 != n28
        & n19 = sum(n2,n17)
        & n10 = sum(n7,n3)
        & n23 != n28
        & n6 != n27
        & n30 = sum(n18,n12)
        & n1 = sum(n9,n23)
        & n8 = sum(n27,n12)
        & n1 != n5
        & n17 = sum(n23,n25)
        & n28 = sum(n3,n25)
        & n14 != n25
        & n13 != n30
        & n2 != n17
        & n17 != n21
        & n30 = sum(n17,n13)
        & n1 != n2
        & n21 = sum(n12,n9)
        & n9 = sum(n19,n21)
        & succ(n16) = n17
        & n2 = sum(n19,n14)
        & n14 = sum(n19,n26)
        & n3 = sum(n28,n6)
        & n12 = sum(n12,n0)
        & n11 != n27
        & n10 = sum(n12,n29)
        & n26 = sum(n7,n19)
        & n5 = sum(n20,n16)
        & n5 != n12
        & n14 = sum(n27,n18)
        & n14 = sum(n23,n22)
        & n29 = sum(n9,n20)
        & n4 != n13
        & n2 != n30
        & n1 != n21
        & n19 = sum(n14,n5)
        & n3 != n7
        & n12 != n21
        & n7 = sum(n21,n17)
        & n13 = sum(n17,n27)
        & n11 != n21
        & n8 != n16
        & n11 != n28
        & n19 = sum(n24,n26)
        & n0 != n30
        & n22 = sum(n15,n7)
        & n9 != n22
        & n19 != n24
        & succ(n21) = n22
        & n8 != n28
        & n15 = sum(n9,n6)
        & n4 = sum(n25,n10)
        & n6 = sum(n6,n0)
        & n6 != n18
        & n8 != n11
        & n4 = pred(n5)
        & n15 != n27
        & n9 != n18
        & n10 != n26
        & n14 = sum(n21,n24)
        & n25 = sum(n16,n9)
        & n6 = sum(n17,n20)
        & n14 != n22
        & n29 = sum(n16,n13)
        & n5 != n8
        & n1 = sum(n29,n3)
        & n4 != n16
        & n18 = sum(n7,n11)
        & n18 = sum(n2,n16)
        & n12 != n24
        & n0 != n19
        & n26 = sum(n29,n28)
        & n21 = sum(n21,n0)
        & n29 = sum(n14,n15)
        & n27 = sum(n29,n29)
        & n26 = sum(n16,n10)
        & n5 != n17
        & n16 = sum(n12,n4)
        & n18 = sum(n15,n3)
        & n10 != n16
        & n0 != n7
        & n8 != n12
        & n3 = sum(n11,n23)
        & n27 != n29
        & n16 = sum(n23,n24)
        & n16 = sum(n2,n14)
        & n24 = sum(n9,n15)
        & n27 = sum(n0,n27)
        & n0 = sum(n11,n20)
        & n11 != n16
        & n10 = sum(n27,n14)
        & n7 != n12
        & n28 = sum(n29,n30)
        & n29 = sum(n17,n12)
        & n22 = sum(n20,n2)
        & n0 = succ(n30)
        & succ(n20) = n21
        & n4 = sum(n20,n15)
        & n29 = sum(n29,n0)
        & n18 != n21
        & n25 = sum(n18,n7)
        & n29 = sum(n19,n10)
        & n22 = sum(n21,n1)
        & n7 = sum(n7,n0)
        & n18 = sum(n19,n30)
        & n19 = sum(n26,n24)
        & n10 = sum(n2,n8)
        & succ(n7) = n8
        & n13 = sum(n13,n0)
        & n10 = sum(n0,n10)
        & n9 = sum(n30,n10)
        & n16 != n20
        & n17 = sum(n3,n14)
        & n30 = sum(n1,n29)
        & n7 != n25
        & n23 != n29
        & n10 = sum(n29,n12)
        & n12 = sum(n21,n22)
        & n20 = sum(n18,n2)
        & n2 = pred(n3)
        & n26 = sum(n18,n8)
        & n1 = sum(n22,n10)
        & n12 = sum(n25,n18)
        & succ(n26) = n27
        & n24 = sum(n2,n22)
        & n10 = pred(n11)
        & succ(n5) = n6
        & n0 = sum(n2,n29)
        & n3 != n28
        & n21 = sum(n22,n30)
        & n5 != n15
        & n7 != n15
        & n0 != n5
        & n23 = sum(n25,n29)
        & n10 = sum(n22,n19)
        & n2 = sum(n18,n15)
        & n1 != n6
        & n9 = sum(n0,n9)
        & n1 != n11
        & n4 != n5
        & n21 != n25
        & n7 = sum(n13,n25)
        & n30 = sum(n0,n30)
        & n6 = sum(n7,n30)
        & n15 = sum(n18,n28)
        & n25 = sum(n28,n28)
        & n18 = sum(n11,n7)
        & n11 != n20
        & n30 = sum(n4,n26)
        & n29 = sum(n12,n17)
        & n14 = sum(n6,n8)
        & n10 != n11
        & n6 = sum(n21,n16)
        & n2 != n26
        & n23 = sum(n1,n22)
        & n14 = sum(n5,n9)
        & n22 = sum(n14,n8)
        & n19 != n21
        & n26 = sum(n5,n21)
        & n11 = pred(n12)
        & n30 = sum(n8,n22)
        & n11 != n24
        & n1 != n9
        & n18 = sum(n20,n29)
        & n11 = sum(n16,n26)
        & n19 = sum(n17,n2)
        & n13 = sum(n9,n4)
        & n8 != n23
        & n27 = sum(n27,n0)
        & n25 != n26
        & n0 = sum(n5,n26)
        & n7 = sum(n23,n15)
        & succ(n19) = n20
        & n24 != n27
        & n28 = sum(n25,n3)
        & n3 = sum(n21,n13)
        & n20 = sum(n2,n18)
        & n9 != n23
        & n23 = sum(n16,n7)
        & n18 = sum(n10,n8)
        & n1 != n26
        & n10 = sum(n6,n4)
        & n9 = sum(n15,n25)
        & n21 != n27
        & n22 = sum(n30,n23)
        & n3 = sum(n9,n25)
        & n0 = sum(n3,n28)
        & n25 = sum(n7,n18)
        & n28 = sum(n7,n21)
        & n25 = sum(n2,n23)
        & n27 = sum(n6,n21)
        & n4 != n12
        & n5 = sum(n25,n11)
        & n1 = sum(n21,n11)
        & n2 = sum(n4,n29)
        & n9 = sum(n6,n3)
        & n28 = sum(n15,n13)
        & n18 = sum(n14,n4)
        & n4 != n22
        & n9 = sum(n12,n28)
        & n22 != n24
        & n20 = sum(n5,n15)
        & n26 != n29
        & n21 = sum(n15,n6)
        & n23 = sum(n3,n20)
        & n0 = sum(n9,n22)
        & n20 != n21
        & n7 = sum(n6,n1)
        & n14 = sum(n3,n11)
        & n13 != n17
        & n19 = sum(n22,n28)
        & n27 = sum(n5,n22)
        & n17 = sum(n1,n16)
        & n3 != n24
        & n9 != n11
        & n21 = sum(n18,n3)
        & n0 != n1
        & n19 = sum(n19,n0)
        & n17 = sum(n17,n0)
        & n14 = sum(n0,n14)
        & n29 = sum(n26,n3)
        & n22 = sum(n29,n24)
        & n25 = sum(n12,n13)
        & n4 != n14
        & n2 != n16
        & n9 = sum(n9,n0)
        & n27 = sum(n8,n19)
        & n17 = pred(n18)
        & n20 = sum(n9,n11)
        & n17 = sum(n11,n6)
        & n24 = sum(n6,n18)
        & n8 = sum(n25,n14)
        & n12 = sum(n1,n11)
        & n0 != n2
        & n18 = sum(n23,n26)
        & n0 != n28
        & n10 != n15
        & n19 = sum(n13,n6)
        & n1 = sum(n27,n5)
        & n7 != n27
        & n4 != n9
        & n26 = sum(n11,n15)
        & n17 != n29
        & n19 = sum(n29,n21)
        & n21 = sum(n6,n15)
        & n22 != n28
        & n10 = sum(n15,n26)
        & n30 = sum(n22,n8)
        & n19 = sum(n23,n27)
        & n24 = sum(n17,n7)
        & n3 != n19
        & n1 = sum(n28,n4)
        & n29 = sum(n7,n22)
        & n12 != n27
        & n4 = sum(n21,n14)
        & n5 = sum(n19,n17)
        & n21 != n24
        & n5 = sum(n27,n9)
        & n21 = sum(n30,n22)
        & n2 != n8
        & n23 = sum(n24,n30)
        & n21 = sum(n0,n21)
        & n20 = sum(n30,n21)
        & n29 = sum(n22,n7)
        & n15 = sum(n23,n23)
        & n14 = sum(n16,n29)
        & n21 = sum(n4,n17)
        & n23 = sum(n19,n4)
        & n3 = sum(n16,n18)
        & n5 = sum(n14,n22)
        & n5 = sum(n7,n29)
        & n30 = sum(n25,n5)
        & n7 = sum(n16,n22)
        & n15 = sum(n28,n18)
        & n20 != n22
        & n8 = sum(n23,n16)
        & n2 != n19
        & n12 = sum(n18,n25)
        & n4 = sum(n0,n4)
        & n30 = sum(n27,n3)
        & n18 != n29 )
   => ( n11 != n17
      & n17 != n19
      & n19 = sum(n0,n19)
      & n18 != n23
      & n2 != n10
      & n0 != n24
      & n0 = sum(n22,n9)
      & n4 != n6
      & n11 = sum(n19,n23)
      & n28 = sum(n0,n28)
      & n22 = sum(n24,n29)
      & n0 != n22
      & n1 != n12
      & n24 = sum(n28,n27)
      & n24 = sum(n26,n29)
      & n28 = sum(n19,n9)
      & n25 = sum(n30,n26)
      & n7 != n13
      & n28 = sum(n28,n0)
      & n21 = sum(n24,n28)
      & n28 = sum(n5,n23)
      & n0 = sum(n21,n10)
      & n17 = sum(n9,n8)
      & n13 = sum(n26,n18)
      & n1 != n30
      & n26 = sum(n1,n25)
      & n9 = sum(n13,n27)
      & n30 = pred(n0)
      & n30 = sum(n23,n7)
      & n12 != n25
      & n26 = sum(n4,n22)
      & n0 = sum(n25,n6)
      & n24 = sum(n5,n19)
      & n2 != n20
      & n3 = sum(n12,n22)
      & n26 = sum(n15,n11)
      & n19 = sum(n7,n12)
      & n9 = sum(n1,n8)
      & n12 = pred(n13)
      & n27 = sum(n15,n12)
      & n9 = sum(n2,n7)
      & succ(n3) = n4
      & n2 != n18
      & n11 = sum(n12,n30)
      & n25 = sum(n4,n21)
      & n4 = sum(n2,n2)
      & n15 = sum(n10,n5)
      & n23 = sum(n28,n26)
      & n22 = pred(n23)
      & n6 = sum(n25,n12)
      & n2 = sum(n17,n16)
      & n21 = sum(n20,n1)
      & n7 != n9
      & ( n29 = sK1
        | n2 = sK1
        | n6 = sK1
        | n22 = sK1
        | n0 = sK1
        | n4 = sK1
        | n18 = sK1
        | n24 = sK1
        | n3 = sK1
        | n10 = sK1
        | n20 = sK1
        | n14 = sK1
        | n30 = sK1
        | n15 = sK1
        | n23 = sK1
        | n11 = sK1
        | n27 = sK1
        | n25 = sK1
        | n19 = sK1
        | n28 = sK1
        | n21 = sK1
        | n5 = sK1
        | n26 = sK1
        | n12 = sK1
        | n9 = sK1
        | n17 = sK1
        | n7 = sK1
        | n13 = sK1
        | n8 = sK1
        | n16 = sK1
        | n1 = sK1 )
      & n24 = sum(n23,n1)
      & n10 = sum(n5,n5)
      & n29 = sum(n1,n28)
      & n5 = sum(n16,n20)
      & n4 = sum(n5,n30)
      & n10 = sum(n20,n21)
      & n2 != n5
      & n11 != n23
      & n10 != n18
      & n2 = sum(n22,n11)
      & n22 != n23
      & n23 = sum(n26,n28)
      & n6 != n25
      & n29 = sum(n27,n2)
      & n25 = sum(n8,n17)
      & n14 = sum(n11,n3)
      & n30 = sum(n24,n6)
      & n5 = sum(n6,n30)
      & n6 = sum(n29,n8)
      & n22 = sum(n1,n21)
      & n11 != n29
      & n6 != n7
      & n24 = pred(n25)
      & n7 != n24
      & n30 = sum(n13,n17)
      & n7 = sum(n10,n28)
      & n19 = sum(n27,n23)
      & n30 = sum(n11,n19)
      & n9 != n16
      & n30 = sum(n9,n21)
      & n7 = sum(n30,n8)
      & n3 != n20
      & n13 != n25
      & n12 != n15
      & n9 != n30
      & n5 = sum(n2,n3)
      & n30 = sum(n28,n2)
      & n19 = sum(n16,n3)
      & n14 = sum(n24,n21)
      & n15 = sum(n11,n4)
      & n29 = sum(n28,n1)
      & n9 != n27
      & n10 != n14
      & n28 = sum(n24,n4)
      & n24 != n28
      & n26 = sum(n22,n4)
      & n12 = sum(n30,n13)
      & n16 = sum(n8,n8)
      & n1 = pred(n2)
      & n21 = sum(n10,n11)
      & n13 = sum(n11,n2)
      & n26 = sum(n2,n24)
      & n29 = sum(n6,n23)
      & n6 = sum(n23,n14)
      & n17 = sum(n20,n28)
      & n7 = sum(n14,n24)
      & n23 != n27
      & n25 = sum(n24,n1)
      & n20 = pred(n21)
      & n9 = sum(n25,n15)
      & n5 != n27
      & n13 != n15
      & n15 = sum(n1,n14)
      & n6 != n21
      & n2 = sum(n11,n22)
      & n16 != n22
      & n12 != n13
      & n29 != n30
      & n26 = sum(n13,n13)
      & n11 = sum(n5,n6)
      & n16 != n18
      & n18 = sum(n3,n15)
      & n21 = sum(n27,n25)
      & n15 = sum(n15,n0)
      & n2 = sum(n21,n12)
      & n8 = sum(n19,n20)
      & n2 = sum(n3,n30)
      & n6 = sum(n4,n2)
      & n13 = sum(n25,n19)
      & n3 = sum(n10,n24)
      & n22 = sum(n23,n30)
      & n24 = sum(n15,n9)
      & n11 = sum(n25,n17)
      & n23 = sum(n27,n27)
      & n14 = sum(n30,n15)
      & n7 = sum(n9,n29)
      & n23 = sum(n20,n3)
      & n5 = sum(n12,n24)
      & n4 = sum(n28,n7)
      & n11 = sum(n28,n14)
      & n4 != n10
      & n4 != n19
      & n5 != n18
      & n11 = sum(n29,n13)
      & n10 != n29
      & n21 = sum(n2,n19)
      & n20 = sum(n21,n30)
      & n27 = sum(n14,n13)
      & n8 = sum(n24,n15)
      & n6 = sum(n0,n6)
      & n15 = sum(n2,n13)
      & n19 = sum(n3,n16)
      & n1 = sum(n7,n25)
      & n16 != n25
      & n12 = sum(n7,n5)
      & n4 != n17
      & sum(sum(pred(sK1),succ(sK0)),sum(pred(sK0),succ(sK1))) != sum(sum(pred(sK1),succ(sK1)),sum(pred(sK0),succ(sK0)))
      & n24 = sum(n4,n20)
      & n18 = sum(n4,n14)
      & n18 = sum(n1,n17)
      & n21 != n22
      & n4 != n7
      & n12 = sum(n6,n6)
      & n1 != n20
      & n2 != n23
      & n23 = pred(n24)
      & n14 = sum(n9,n5)
      & n13 = sum(n28,n16)
      & n10 != n27
      & n1 = sum(n26,n6)
      & n15 != n19
      & n4 = sum(n10,n25)
      & n29 = sum(n3,n26)
      & n10 = sum(n8,n2)
      & n23 != n30
      & n14 != n24
      & n1 = sum(n1,n0)
      & n0 = sum(n30,n1)
      & n26 = sum(n23,n3)
      & n13 = sum(n30,n14)
      & n14 = sum(n8,n6)
      & n21 = sum(n23,n29)
      & n1 = sum(n19,n13)
      & n15 != n24
      & n0 = sum(n19,n12)
      & n19 = sum(n11,n8)
      & n0 != n13
      & n24 = sum(n25,n30)
      & n27 = sum(n2,n25)
      & n7 = sum(n18,n20)
      & n22 = sum(n3,n19)
      & n26 = sum(n25,n1)
      & n19 != n28
      & n22 = sum(n26,n27)
      & n9 != n17
      & n12 = sum(n13,n30)
      & n27 = sum(n4,n23)
      & n22 != n27
      & succ(n18) = n19
      & n12 = sum(n4,n8)
      & n30 = sum(n5,n25)
      & n30 = sum(n15,n15)
      & n0 = sum(n13,n18)
      & n2 != n11
      & n5 != n14
      & n16 != n29
      & n0 != n25
      & n26 = sum(n10,n16)
      & n25 != n28
      & n3 != n9
      & n20 != n26
      & n24 = sum(n12,n12)
      & n26 = sum(n8,n18)
      & n19 != n23
      & n20 != n24
      & n9 != n10
      & n24 = sum(n16,n8)
      & n19 = sum(n15,n4)
      & n8 = sum(n17,n22)
      & n8 != n26
      & n2 != n15
      & n27 = sum(n21,n6)
      & n12 = sum(n16,n27)
      & n8 = sum(n13,n26)
      & n6 != n19
      & n16 != n19
      & n6 = sum(n3,n3)
      & n28 != n29
      & n6 != n30
      & n0 != n10
      & n7 = sum(n11,n27)
      & n24 = sum(n10,n14)
      & n11 != n26
      & n11 = sum(n20,n22)
      & n4 = sum(n18,n17)
      & n25 != n30
      & n23 = sum(n4,n19)
      & n19 = sum(n28,n22)
      & n12 = sum(n26,n17)
      & n11 != n13
      & n13 != n29
      & n3 = sum(n3,n0)
      & n14 != n20
      & n5 = sum(n17,n19)
      & n10 = sum(n3,n7)
      & n6 != n23
      & n15 = sum(n6,n9)
      & n13 = sum(n6,n7)
      & n6 = sum(n14,n23)
      & n16 = sum(n28,n19)
      & n5 = sum(n28,n8)
      & succ(n10) = n11
      & n10 = sum(n21,n20)
      & n0 != n14
      & n2 = sum(n1,n1)
      & n18 != n25
      & n19 = sum(n30,n20)
      & n20 = sum(n20,n0)
      & ( n1 = sK0
        | n29 = sK0
        | n2 = sK0
        | n14 = sK0
        | n18 = sK0
        | n16 = sK0
        | n5 = sK0
        | n27 = sK0
        | n28 = sK0
        | n10 = sK0
        | n3 = sK0
        | n0 = sK0
        | n24 = sK0
        | n17 = sK0
        | n15 = sK0
        | n9 = sK0
        | n26 = sK0
        | n13 = sK0
        | n12 = sK0
        | n20 = sK0
        | n7 = sK0
        | n4 = sK0
        | n11 = sK0
        | n23 = sK0
        | n22 = sK0
        | n25 = sK0
        | n30 = sK0
        | n21 = sK0
        | n19 = sK0
        | n6 = sK0
        | n8 = sK0 )
      & succ(n28) = n29
      & n6 = sum(n9,n28)
      & n4 != n20
      & n14 != n28
      & n9 = sum(n4,n5)
      & n22 = sum(n8,n14)
      & n5 != n25
      & n24 = sum(n1,n23)
      & n27 = sum(n1,n26)
      & n8 = sum(n5,n3)
      & n30 = sum(n26,n4)
      & n7 = sum(n8,n30)
      & n24 = sum(n30,n25)
      & n2 = sum(n25,n8)
      & n13 = sum(n24,n20)
      & n9 = sum(n27,n13)
      & n0 = sum(n23,n8)
      & n13 = pred(n14)
      & n18 = pred(n19)
      & n0 = sum(n7,n24)
      & n28 = sum(n1,n27)
      & n12 != n23
      & n3 != n5
      & n8 != n13
      & n25 = sum(n19,n6)
      & n8 = sum(n9,n30)
      & n24 = sum(n27,n28)
      & n18 = sum(n17,n1)
      & n6 = sum(n18,n19)
      & n0 = sum(n1,n30)
      & n17 = sum(n12,n5)
      & n23 = sum(n29,n25)
      & n10 != n25
      & n23 = sum(n2,n21)
      & n2 != n22
      & succ(n23) = n24
      & n9 != n21
      & n6 != n13
      & n13 != n18
      & n12 = sum(n19,n24)
      & n0 != n27
      & n7 = pred(n8)
      & n20 = sum(n13,n7)
      & n13 = sum(n23,n21)
      & n1 != n27
      & n16 != n24
      & n16 = sum(n6,n10)
      & n4 != n11
      & n27 = sum(n3,n24)
      & n18 = sum(n6,n12)
      & n6 = sum(n5,n1)
      & n3 = sum(n29,n5)
      & n3 = sum(n4,n30)
      & n6 != n22
      & n6 = sum(n10,n27)
      & n3 != n21
      & n16 != n26
      & n8 = sum(n16,n23)
      & succ(n6) = n7
      & n16 = sum(n14,n2)
      & n4 != n15
      & n12 != n18
      & n15 = sum(n0,n15)
      & n16 = sum(n29,n18)
      & n28 = sum(n22,n6)
      & n3 != n27
      & n29 = sum(n30,n30)
      & n18 = sum(n0,n18)
      & n1 = sum(n13,n19)
      & n6 = sum(n11,n26)
      & n7 = sum(n22,n16)
      & n3 = sum(n20,n14)
      & n21 = sum(n14,n7)
      & n27 = pred(n28)
      & n15 = sum(n25,n21)
      & n18 != n26
      & n2 != n7
      & n17 != n18
      & n8 != n20
      & n17 != n28
      & n26 = sum(n30,n27)
      & n4 = sum(n14,n21)
      & n17 = sum(n6,n11)
      & n5 != n28
      & n12 != n30
      & n28 = sum(n18,n10)
      & n22 = sum(n7,n15)
      & n6 = sum(n27,n10)
      & n16 = pred(n17)
      & n20 != n28
      & n3 = sum(n22,n12)
      & n10 = sum(n14,n27)
      & n10 != n13
      & n10 != n28
      & n25 = sum(n5,n20)
      & n11 != n15
      & n8 = sum(n10,n29)
      & n1 = sum(n23,n9)
      & n10 = sum(n4,n6)
      & n20 = sum(n12,n8)
      & n1 != n22
      & n12 != n29
      & n15 != n21
      & n13 != n26
      & n7 != n20
      & n16 != n30
      & n3 = sum(n24,n10)
      & n29 = sum(n25,n4)
      & n25 = sum(n11,n14)
      & n1 = sum(n5,n27)
      & n2 = sum(n29,n4)
      & n18 = sum(n22,n27)
      & n3 = sum(n2,n1)
      & n1 != n14
      & n8 = sum(n29,n10)
      & n13 != n21
      & n13 != n22
      & n14 != n16
      & n28 = pred(n29)
      & n4 = sum(n11,n24)
      & n4 = sum(n3,n1)
      & n9 = sum(n26,n14)
      & n21 = sum(n16,n5)
      & n5 = sum(n8,n28)
      & n18 = sum(n8,n10)
      & n3 = sum(n0,n3)
      & n3 = sum(n23,n11)
      & n9 != n15
      & n17 = sum(n25,n23)
      & n11 = sum(n10,n1)
      & n17 != n23
      & n14 = sum(n22,n23)
      & n12 = sum(n28,n15)
      & n23 = sum(n15,n8)
      & n5 != n23
      & n20 = sum(n4,n16)
      & n2 = sum(n28,n5)
      & n27 = sum(n16,n11)
      & n20 = sum(n28,n23)
      & n28 = sum(n2,n26)
      & n23 = sum(n5,n18)
      & n18 = sum(n25,n24)
      & n12 = sum(n24,n19)
      & n1 = sum(n6,n26)
      & n13 = sum(n0,n13)
      & n21 = pred(n22)
      & n12 = sum(n8,n4)
      & n2 != n14
      & n6 != n8
      & n17 = sum(n7,n10)
      & n15 != n20
      & n0 = sum(n29,n2)
      & n3 != n6
      & n4 = sum(n1,n3)
      & n11 = sum(n13,n29)
      & n23 = sum(n0,n23)
      & n17 = sum(n8,n9)
      & n0 != n29
      & n26 = sum(n9,n17)
      & n24 = sum(n8,n16)
      & n8 != n30
      & n0 != n26
      & succ(n24) = n25
      & n18 != n28
      & n2 != n13
      & n13 = sum(n19,n25)
      & n20 = sum(n3,n17)
      & n0 = sum(n24,n7)
      & n19 = sum(n12,n7)
      & n12 = sum(n3,n9)
      & n4 = sum(n19,n16)
      & n25 = sum(n10,n15)
      & n5 = sum(n30,n6)
      & n4 != n23
      & n11 = sum(n4,n7)
      & n5 != n26
      & n7 = sum(n1,n6)
      & n24 = sum(n3,n21)
      & n8 != n21
      & n19 = sum(n10,n9)
      & n25 = sum(n26,n30)
      & n13 = sum(n1,n12)
      & n16 = sum(n4,n12)
      & n8 = sum(n18,n21)
      & n16 != n27
      & n25 = sum(n0,n25)
      & n26 != n28
      & n5 = sum(n10,n26)
      & n17 = sum(n14,n3)
      & n27 = sum(n26,n1)
      & n9 != n19
      & n19 = sum(n21,n29)
      & n3 != n29
      & n21 = sum(n29,n23)
      & n25 = sum(n25,n0)
      & n3 = sum(n25,n9)
      & n19 != n29
      & n8 != n27
      & n28 = sum(n11,n17)
      & n25 = sum(n3,n22)
      & n9 = sum(n18,n22)
      & n5 = sum(n24,n12)
      & n7 = sum(n2,n5)
      & n13 = sum(n20,n24)
      & n13 = sum(n10,n3)
      & n20 != n25
      & n3 = sum(n15,n19)
      & n17 = sum(n10,n7)
      & n27 = sum(n13,n14)
      & succ(n13) = n14
      & n10 = sum(n28,n13)
      & n4 != n24
      & n29 = sum(n0,n29)
      & n30 = sum(n7,n23)
      & n8 = sum(n21,n18)
      & n3 != n16
      & n16 = sum(n5,n11)
      & n1 != n7
      & n20 = sum(n19,n1)
      & n8 != n14
      & n26 = sum(n21,n5)
      & n11 = sum(n14,n28)
      & n24 = sum(n13,n11)
      & n21 = sum(n17,n4)
      & n9 = sum(n14,n26)
      & n5 = sum(n11,n25)
      & n16 = sum(n15,n1)
      & n16 = sum(n13,n3)
      & n14 != n15
      & n4 = sum(n7,n28)
      & n15 = sum(n8,n7)
      & n24 = sum(n21,n3)
      & n27 = sum(n19,n8)
      & n16 = sum(n3,n13)
      & n12 != n14
      & n10 != n19
      & n9 != n25
      & n21 != n29
      & n7 = sum(n19,n19)
      & n3 = sum(n18,n16)
      & n1 = sum(n3,n29)
      & n14 != n30
      & n1 != n10
      & n17 = sum(n22,n26)
      & n18 != n30
      & n9 = sum(n3,n6)
      & n7 = sum(n4,n3)
      & succ(n15) = n16
      & n16 = sum(n21,n26)
      & n13 = sum(n12,n1)
      & n24 != n26
      & n12 != n20
      & n20 = sum(n10,n10)
      & n19 = sum(n25,n25)
      & n2 = sum(n2,n0)
      & n19 = sum(n1,n18)
      & n0 = sum(n10,n21)
      & n5 = sum(n0,n5)
      & n14 = sum(n10,n4)
      & n26 = sum(n6,n20)
      & n27 != n30
      & n4 = sum(n15,n20)
      & n14 = sum(n13,n1)
      & n2 != n12
      & n27 = sum(n11,n16)
      & n8 = sum(n1,n7)
      & n15 != n22
      & n0 != n23
      & n10 = sum(n13,n28)
      & n2 != n28
      & n13 != n28
      & n12 = sum(n15,n28)
      & n25 != n29
      & succ(n12) = n13
      & n20 = sum(n23,n28)
      & n6 != n17
      & n8 = sum(n15,n24)
      & n2 != n21
      & n17 = sum(n16,n1)
      & n5 = sum(n26,n10)
      & n15 = sum(n3,n12)
      & n21 = sum(n11,n10)
      & n17 = sum(n27,n21)
      & n8 = sum(n20,n19)
      & n15 != n17
      & n16 = sum(n0,n16)
      & n5 = sum(n13,n23)
      & n0 = sum(n15,n16)
      & n13 = sum(n18,n26)
      & n7 = sum(n3,n4)
      & n12 = sum(n20,n23)
      & n23 = sum(n18,n5)
      & n29 = sum(n23,n6)
      & n2 = sum(n16,n17)
      & n11 = sum(n21,n21)
      & n26 = sum(n24,n2)
      & n16 = sum(n10,n6)
      & n20 = sum(n11,n9)
      & n0 != n9
      & n13 != n16
      & n28 = sum(n13,n15)
      & n23 != n24
      & n14 = sum(n7,n7)
      & n29 = sum(n24,n5)
      & n17 = sum(n24,n24)
      & n25 = sum(n29,n27)
      & n2 = sum(n20,n13)
      & n0 = sum(n6,n25)
      & n0 = sum(n27,n4)
      & n1 = sum(n18,n14)
      & n5 != n21
      & n4 != n27
      & n28 = sum(n16,n12)
      & n22 = sum(n13,n9)
      & n17 = sum(n30,n18)
      & n29 = sum(n5,n24)
      & n18 = sum(n26,n23)
      & n9 != n14
      & n3 != n10
      & n2 = sum(n27,n6)
      & n7 = sum(n29,n9)
      & n23 = sum(n8,n15)
      & n15 = sum(n4,n11)
      & n22 = sum(n9,n13)
      & n5 = sum(n22,n14)
      & n25 = sum(n22,n3)
      & succ(n27) = n28
      & n8 = sum(n28,n11)
      & n1 = sum(n20,n12)
      & n23 = sum(n11,n12)
      & n14 = sum(n17,n28)
      & n9 != n26
      & n18 != n24
      & n11 = sum(n11,n0)
      & n25 != n27
      & n21 = sum(n26,n26)
      & n21 = sum(n3,n18)
      & n6 != n29
      & n14 = sum(n29,n16)
      & n2 != n6
      & n12 != n28
      & n22 != n29
      & n26 = sum(n12,n14)
      & n10 = sum(n19,n22)
      & n24 = sum(n22,n2)
      & n0 = sum(n17,n14)
      & n0 = sum(n8,n23)
      & n27 = sum(n17,n10)
      & n14 = sum(n2,n12)
      & n3 != n4
      & n7 = sum(n12,n26)
      & n27 = sum(n25,n2)
      & n13 = sum(n4,n9)
      & n15 = sum(n24,n22)
      & n11 = sum(n7,n4)
      & n5 = sum(n29,n7)
      & n12 = sum(n2,n10)
      & n6 = sum(n1,n5)
      & n18 = sum(n30,n19)
      & n11 = sum(n27,n15)
      & n20 = sum(n8,n12)
      & n0 != n3
      & n17 != n25
      & n7 != n16
      & n11 = sum(n17,n25)
      & n16 != n28
      & n24 = sum(n0,n24)
      & n16 = sum(n18,n29)
      & n29 = sum(n2,n27)
      & n0 = pred(n1)
      & n20 = sum(n26,n25)
      & n13 = sum(n3,n10)
      & n26 != n30
      & n9 = sum(n23,n17)
      & n5 = pred(n6)
      & n6 = sum(n13,n24)
      & n1 != n13
      & n29 = sum(n21,n8)
      & n19 = sum(n20,n30)
      & n1 = sum(n17,n15)
      & n17 = sum(n13,n4)
      & n15 = sum(n22,n24)
      & n8 = sum(n8,n0)
      & n26 = pred(n27)
      & n17 = sum(n2,n15)
      & n5 != n16
      & n5 = sum(n3,n2)
      & n0 = sum(n28,n3)
      & n16 = sum(n24,n23)
      & n0 != n4
      & n15 = sum(n12,n3)
      & n28 = sum(n6,n22)
      & n2 = sum(n30,n3)
      & n24 = sum(n29,n26)
      & n25 = sum(n6,n19)
      & succ(n11) = n12
      & n7 = sum(n27,n11)
      & n4 = sum(n23,n12)
      & n20 != n23
      & n1 != n18
      & n6 = sum(n30,n7)
      & n28 = sum(n12,n16)
      & n10 = sum(n23,n18)
      & n6 != n9
      & n28 = sum(n10,n18)
      & n23 != n25
      & n9 != n20
      & n3 = sum(n6,n28)
      & n8 != n22
      & n23 = sum(n9,n14)
      & n8 = sum(n26,n13)
      & n3 != n12
      & n4 != n21
      & n1 != n4
      & n0 = sum(n18,n13)
      & n0 != n17
      & n3 = sum(n7,n27)
      & n26 = sum(n17,n9)
      & n4 != n30
      & n5 != n29
      & n15 != n16
      & n18 = sum(n12,n6)
      & n21 = sum(n9,n12)
      & n30 = sum(n19,n11)
      & n15 = sum(n26,n20)
      & n10 = sum(n1,n9)
      & n2 = sum(n8,n25)
      & n19 = pred(n20)
      & n20 = sum(n27,n24)
      & n4 != n8
      & n3 = sum(n17,n17)
      & n29 = sum(n8,n21)
      & n10 != n24
      & n21 != n30
      & n1 != n17
      & n3 != n22
      & n13 != n19
      & n7 = sum(n5,n2)
      & n21 != n28
      & n30 = sum(n16,n14)
      & n4 = sum(n26,n9)
      & n4 = sum(n13,n22)
      & n14 != n23
      & n11 = sum(n15,n27)
      & n7 != n10
      & n11 = sum(n22,n20)
      & n16 = sum(n25,n22)
      & succ(n29) = n30
      & n3 = sum(n19,n15)
      & n28 = sum(n17,n11)
      & n20 = sum(n24,n27)
      & n20 = sum(n22,n29)
      & n3 = sum(n30,n4)
      & n22 = sum(n4,n18)
      & n4 != n25
      & n11 = sum(n30,n12)
      & n11 = sum(n2,n9)
      & n15 = pred(n16)
      & n3 != n18
      & n6 != n24
      & n14 = sum(n14,n0)
      & n8 = sum(n2,n6)
      & n27 = sum(n10,n17)
      & n7 != n30
      & n9 = sum(n8,n1)
      & n21 = sum(n13,n8)
      & n15 = sum(n5,n10)
      & n0 = sum(n20,n11)
      & succ(n22) = n23
      & n16 = sum(n17,n30)
      & n15 != n28
      & n19 != n26
      & n5 = sum(n5,n0)
      & n28 = sum(n4,n24)
      & n3 = sum(n26,n8)
      & n14 != n18
      & n11 = sum(n23,n19)
      & n16 = sum(n27,n20)
      & n30 = sum(n3,n27)
      & n25 = sum(n23,n2)
      & n30 = sum(n14,n16)
      & n20 = sum(n17,n3)
      & n30 = sum(n12,n18)
      & n22 = sum(n12,n10)
      & n4 != n28
      & n21 != n26
      & n0 = sum(n4,n27)
      & n29 = pred(n30)
      & n23 = sum(n10,n13)
      & n28 = sum(n20,n8)
      & n26 = sum(n20,n6)
      & n22 = sum(n27,n26)
      & n10 = sum(n11,n30)
      & n0 = sum(n26,n5)
      & n9 != n12
      & n3 != n14
      & n3 = sum(n13,n21)
      & n11 = sum(n9,n2)
      & n4 = sum(n29,n6)
      & n23 = sum(n17,n6)
      & succ(n1) = n2
      & n6 = sum(n20,n17)
      & n13 = sum(n5,n8)
      & n3 != n15
      & n15 != n23
      & n12 = sum(n29,n14)
      & n7 = sum(n17,n21)
      & n19 != n25
      & n21 = sum(n5,n16)
      & n19 = sum(n8,n11)
      & n5 != n20
      & n14 = sum(n18,n27)
      & n2 = sum(n24,n9)
      & n4 = sum(n4,n0)
      & n8 != n24
      & n29 = sum(n10,n19)
      & n11 != n14
      & n3 = pred(n4)
      & n2 = sum(n14,n19)
      & n25 = sum(n27,n29)
      & n0 = sum(n0,n0)
      & n22 = sum(n6,n16)
      & n8 = sum(n3,n5)
      & n18 = sum(n27,n22)
      & n28 = sum(n27,n1)
      & n8 != n29
      & n12 != n16
      & n2 != n25
      & n4 = sum(n8,n27)
      & n9 != n13
      & n1 != n29
      & n4 = sum(n12,n23)
      & n5 != n9
      & n17 = sum(n28,n20)
      & n22 = sum(n2,n20)
      & n7 != n14
      & n19 = sum(n6,n13)
      & n21 = sum(n8,n13)
      & n10 != n12
      & n13 = sum(n8,n5)
      & n12 = sum(n27,n16)
      & n27 != n28
      & n28 = sum(n26,n2)
      & n5 != n30
      & n26 = sum(n26,n0)
      & n8 = sum(n22,n17)
      & n10 = sum(n25,n16)
      & n7 = sum(n25,n13)
      & n6 = pred(n7)
      & n14 = sum(n25,n20)
      & n12 = sum(n14,n29)
      & n11 = sum(n18,n24)
      & n14 = sum(n1,n13)
      & n7 = sum(n20,n18)
      & n4 != n18
      & n11 = sum(n26,n16)
      & n16 = sum(n20,n27)
      & n22 = sum(n11,n11)
      & n14 != n19
      & n8 = sum(n11,n28)
      & n25 = pred(n26)
      & n11 != n22
      & n2 = sum(n15,n18)
      & n20 = sum(n15,n5)
      & n11 = sum(n3,n8)
      & n5 != n24
      & n0 != n18
      & n0 = sum(n12,n19)
      & n22 = sum(n25,n28)
      & n11 != n30
      & n23 = sum(n14,n9)
      & n28 = sum(n14,n14)
      & n9 = pred(n10)
      & n7 != n23
      & n2 != n4
      & n16 = sum(n30,n17)
      & n2 = sum(n26,n7)
      & n15 != n25
      & n1 = sum(n25,n7)
      & n16 = sum(n26,n21)
      & n25 = sum(n9,n16)
      & n30 = sum(n2,n28)
      & n20 = sum(n25,n26)
      & n6 = sum(n22,n15)
      & n8 = sum(n0,n8)
      & n11 = sum(n1,n10)
      & n30 = sum(n29,n1)
      & n17 != n20
      & n3 != n8
      & n24 = sum(n11,n13)
      & n17 = sum(n19,n29)
      & n21 = sum(n28,n24)
      & n4 = sum(n27,n8)
      & n0 != n11
      & n9 = sum(n5,n4)
      & n0 != n21
      & n7 = sum(n24,n14)
      & n5 = sum(n18,n18)
      & n17 = sum(n15,n2)
      & succ(n2) = n3
      & n2 = sum(n7,n26)
      & n26 = sum(n0,n26)
      & n7 != n18
      & n9 != n29
      & n12 != n19
      & n15 = sum(n14,n1)
      & n1 = sum(n10,n22)
      & n3 = sum(n14,n20)
      & n8 = sum(n4,n4)
      & n12 = sum(n17,n26)
      & succ(n25) = n26
      & n18 = sum(n13,n5)
      & n18 != n20
      & n28 = sum(n9,n19)
      & n1 = sum(n12,n20)
      & n2 = sum(n10,n23)
      & n18 = sum(n21,n28)
      & n10 = sum(n30,n11)
      & n13 = sum(n14,n30)
      & n9 = sum(n22,n18)
      & n29 = sum(n15,n14)
      & n5 != n19
      & n8 = sum(n7,n1)
      & n2 = sum(n23,n10)
      & n11 = sum(n6,n5)
      & n28 = sum(n21,n7)
      & n5 != n7
      & n10 != n30
      & n13 != n27
      & n15 != n30
      & n14 != n27
      & n20 = sum(n0,n20)
      & n9 = sum(n10,n30)
      & n5 != n22
      & n19 != n27
      & n17 = sum(n5,n12)
      & n4 = sum(n30,n5)
      & n7 != n28
      & n30 = sum(n30,n0)
      & n18 = sum(n16,n2)
      & n23 = sum(n6,n17)
      & n5 != n13
      & n13 != n20
      & n1 != n8
      & n5 = sum(n9,n27)
      & n21 = sum(n25,n27)
      & n21 = sum(n7,n14)
      & succ(n17) = n18
      & n14 = sum(n28,n17)
      & n20 = sum(n14,n6)
      & n20 = sum(n1,n19)
      & n22 != n25
      & n4 != n26
      & n0 != n16
      & n16 = sum(n7,n9)
      & n14 != n17
      & n25 = sum(n17,n8)
      & n23 = sum(n30,n24)
      & succ(n9) = n10
      & n27 = sum(n24,n3)
      & n4 = sum(n9,n26)
      & n25 = sum(n15,n10)
      & n8 != n9
      & n11 != n19
      & n7 != n8
      & n13 != n24
      & n1 != n19
      & n1 != n25
      & n15 = sum(n19,n27)
      & n4 != n29
      & n30 = sum(n10,n20)
      & n24 = sum(n18,n6)
      & n11 = sum(n8,n3)
      & n1 = sum(n11,n21)
      & n22 = sum(n19,n3)
      & n27 = sum(n22,n5)
      & n20 != n29
      & n1 = sum(n2,n30)
      & n11 != n12
      & n15 != n18
      & n18 = sum(n28,n21)
      & n0 = sum(n14,n17)
      & n5 = sum(n21,n15)
      & n3 != n23
      & n10 = sum(n24,n17)
      & n26 = sum(n14,n12)
      & n13 = sum(n7,n6)
      & n6 != n16
      & n16 = sum(n11,n5)
      & n7 = sum(n28,n10)
      & n9 = sum(n11,n29)
      & n19 = sum(n5,n14)
      & n1 = sum(n30,n2)
      & n20 != n30
      & n27 = sum(n20,n7)
      & n3 = sum(n8,n26)
      & n7 != n17
      & n10 = sum(n9,n1)
      & n19 = sum(n4,n15)
      & n8 = sum(n6,n2)
      & n8 != n18
      & n7 = sum(n26,n12)
      & n15 = sum(n16,n30)
      & n24 != n25
      & n5 = sum(n4,n1)
      & n3 != n17
      & n8 = sum(n12,n27)
      & n14 = sum(n4,n10)
      & n10 != n21
      & n2 = sum(n0,n2)
      & n24 = sum(n19,n5)
      & succ(n4) = n5
      & n6 != n14
      & n23 = sum(n22,n1)
      & n16 = sum(n19,n28)
      & n6 != n11
      & succ(n8) = n9
      & n7 != n29
      & n7 != n26
      & n15 != n29
      & n1 != n24
      & n13 != n23
      & n27 = sum(n9,n18)
      & n1 = sum(n4,n28)
      & n4 = sum(n17,n18)
      & n29 = sum(n4,n25)
      & n19 = sum(n9,n10)
      & n7 != n21
      & n22 = sum(n0,n22)
      & n14 != n29
      & n6 = sum(n28,n9)
      & n6 != n26
      & n30 = sum(n6,n24)
      & n15 = sum(n27,n19)
      & n24 = sum(n20,n4)
      & n10 != n17
      & n23 = sum(n12,n11)
      & n7 != n22
      & n10 = sum(n18,n23)
      & n9 = sum(n16,n24)
      & n3 != n30
      & n9 = sum(n17,n23)
      & n17 != n22
      & n12 = sum(n11,n1)
      & n18 = sum(n9,n9)
      & n28 != n30
      & n3 != n25
      & n14 = sum(n26,n19)
      & n21 != n23
      & n5 != n6
      & n4 = sum(n22,n13)
      & n18 = sum(n18,n0)
      & n20 = sum(n29,n22)
      & n9 = sum(n29,n11)
      & n19 != n30
      & n6 = sum(n12,n25)
      & n1 = sum(n24,n8)
      & n18 != n27
      & n2 = sum(n12,n21)
      & n24 = sum(n24,n0)
      & n19 != n22
      & n2 = sum(n6,n27)
      & n22 = sum(n17,n5)
      & n11 != n25
      & n6 != n12
      & n12 = sum(n0,n12)
      & n19 != n20
      & n8 = sum(n30,n9)
      & n26 = sum(n27,n30)
      & n9 != n24
      & n1 = sum(n15,n17)
      & n27 = sum(n7,n20)
      & n25 = sum(n1,n24)
      & n2 != n3
      & n4 = sum(n6,n29)
      & n1 != n23
      & n14 != n26
      & n13 = sum(n15,n29)
      & n10 != n23
      & n17 = sum(n26,n22)
      & n18 = sum(n29,n20)
      & n26 = sum(n3,n23)
      & n17 = sum(n21,n27)
      & n18 = sum(n5,n13)
      & n8 != n19
      & n5 != n11
      & n15 = sum(n7,n8)
      & n0 != n8
      & n16 = sum(n9,n7)
      & n24 != n30
      & n13 = sum(n29,n15)
      & n23 = sum(n13,n10)
      & n9 = sum(n24,n16)
      & n15 = sum(n30,n16)
      & n19 = sum(n18,n1)
      & n21 = sum(n1,n20)
      & n27 = sum(n30,n28)
      & n3 != n26
      & n0 != n20
      & n20 = sum(n6,n14)
      & n22 = sum(n10,n12)
      & n23 = sum(n21,n2)
      & n6 = sum(n26,n11)
      & n3 != n11
      & n16 != n21
      & n15 = sum(n17,n29)
      & n13 = sum(n22,n22)
      & n7 = sum(n0,n7)
      & n11 = sum(n0,n11)
      & n2 != n27
      & n5 = sum(n1,n4)
      & n7 = sum(n15,n23)
      & n8 != n10
      & n22 != n30
      & n6 = sum(n15,n22)
      & succ(n14) = n15
      & n17 != n26
      & n14 = pred(n15)
      & n17 != n27
      & succ(n0) = n1
      & n3 = sum(n27,n7)
      & n13 != n14
      & n8 = sum(n14,n25)
      & n15 != n26
      & n12 = sum(n9,n3)
      & n12 != n22
      & n26 = sum(n19,n7)
      & n2 != n24
      & n14 = sum(n20,n25)
      & n10 != n20
      & n26 = sum(n28,n29)
      & n14 = sum(n12,n2)
      & n6 != n20
      & n16 != n17
      & n29 = sum(n20,n9)
      & n11 = sum(n24,n18)
      & n16 = sum(n16,n0)
      & n22 = sum(n22,n0)
      & n1 != n15
      & n21 = sum(n19,n2)
      & n10 != n22
      & n6 != n15
      & n18 = sum(n24,n25)
      & n15 = sum(n21,n25)
      & n8 != n15
      & n27 = sum(n28,n30)
      & n22 = sum(n18,n4)
      & n23 = sum(n7,n16)
      & n30 = sum(n21,n9)
      & n10 = sum(n17,n24)
      & n3 != n13
      & n15 = sum(n20,n26)
      & n12 != n17
      & n25 = sum(n20,n5)
      & n8 != n17
      & n1 = sum(n0,n1)
      & n9 = sum(n28,n12)
      & n29 = sum(n13,n16)
      & n13 = sum(n27,n17)
      & n0 != n15
      & n17 != n30
      & n30 = sum(n20,n10)
      & n1 != n3
      & n29 = sum(n11,n18)
      & n1 != n28
      & n16 = sum(n22,n25)
      & n15 = sum(n13,n2)
      & n2 != n29
      & n18 != n22
      & n1 = sum(n14,n18)
      & n28 = sum(n8,n20)
      & n2 != n9
      & n1 != n16
      & n15 = sum(n29,n17)
      & n12 = sum(n5,n7)
      & n24 = sum(n7,n17)
      & n27 = sum(n18,n9)
      & n11 != n18
      & n13 = sum(n2,n11)
      & n13 = sum(n16,n28)
      & n17 = sum(n4,n13)
      & n2 = sum(n9,n24)
      & n27 = sum(n23,n4)
      & n10 = sum(n26,n15)
      & n14 = sum(n15,n30)
      & n10 = sum(n16,n25)
      & n0 != n12
      & n24 = sum(n14,n10)
      & n2 = sum(n5,n28)
      & n13 = sum(n21,n23)
      & n16 != n23
      & n26 != n27
      & n4 = sum(n16,n19)
      & n22 = sum(n16,n6)
      & n28 = sum(n30,n29)
      & n3 = sum(n5,n29)
      & n6 = sum(n2,n4)
      & n5 = sum(n15,n21)
      & n6 = sum(n19,n18)
      & n5 = sum(n23,n13)
      & n6 != n28
      & n22 = sum(n5,n17)
      & n0 = sum(n16,n15)
      & n29 = sum(n18,n11)
      & n17 = sum(n29,n19)
      & n23 = sum(n23,n0)
      & n0 != n6
      & n9 = sum(n20,n20)
      & n14 != n21
      & n6 != n10
      & n22 = sum(n28,n25)
      & n17 = sum(n0,n17)
      & n1 = sum(n16,n16)
      & n8 = pred(n9)
      & n18 != n19
      & n3 = sum(n1,n2)
      & n22 != n26
      & n12 = sum(n10,n2)
      & n2 = sum(n13,n20)
      & n6 = sum(n16,n21)
      & n17 != n24
      & n6 = sum(n8,n29)
      & n9 = sum(n7,n2)
      & n17 = sum(n18,n30)
      & n20 = sum(n7,n13)
      & n28 = sum(n23,n5)
      & n25 = sum(n21,n4)
      & n20 = sum(n16,n4)
      & n6 = sum(n24,n13)
      & n12 = sum(n23,n20)
      & n12 = sum(n22,n21)
      & n4 = sum(n24,n11)
      & n24 != n29
      & n9 = sum(n21,n19)
      & n7 != n19
      & n20 != n27
      & n1 = sum(n8,n24)
      & n7 != n11
      & n10 = sum(n10,n0)
      & n25 = sum(n13,n12)
      & n5 != n10
      & n16 = sum(n1,n15)
      & n8 != n25
      & n12 != n26
      & n27 = sum(n12,n15)
      & n25 = sum(n14,n11)
      & n23 != n26
      & n9 != n28
      & n19 = sum(n2,n17)
      & n10 = sum(n7,n3)
      & n23 != n28
      & n6 != n27
      & n30 = sum(n18,n12)
      & n1 = sum(n9,n23)
      & n8 = sum(n27,n12)
      & n1 != n5
      & n17 = sum(n23,n25)
      & n28 = sum(n3,n25)
      & n14 != n25
      & n13 != n30
      & n2 != n17
      & n17 != n21
      & n30 = sum(n17,n13)
      & n1 != n2
      & n21 = sum(n12,n9)
      & n9 = sum(n19,n21)
      & succ(n16) = n17
      & n2 = sum(n19,n14)
      & n14 = sum(n19,n26)
      & n3 = sum(n28,n6)
      & n12 = sum(n12,n0)
      & n11 != n27
      & n10 = sum(n12,n29)
      & n26 = sum(n7,n19)
      & n5 = sum(n20,n16)
      & n5 != n12
      & n14 = sum(n27,n18)
      & n14 = sum(n23,n22)
      & n29 = sum(n9,n20)
      & n4 != n13
      & n2 != n30
      & n1 != n21
      & n19 = sum(n14,n5)
      & n3 != n7
      & n12 != n21
      & n7 = sum(n21,n17)
      & n13 = sum(n17,n27)
      & n11 != n21
      & n8 != n16
      & n11 != n28
      & n19 = sum(n24,n26)
      & n0 != n30
      & n22 = sum(n15,n7)
      & n9 != n22
      & n19 != n24
      & succ(n21) = n22
      & n8 != n28
      & n15 = sum(n9,n6)
      & n4 = sum(n25,n10)
      & n6 = sum(n6,n0)
      & n6 != n18
      & n8 != n11
      & n4 = pred(n5)
      & n15 != n27
      & n9 != n18
      & n10 != n26
      & n14 = sum(n21,n24)
      & n25 = sum(n16,n9)
      & n6 = sum(n17,n20)
      & n14 != n22
      & n29 = sum(n16,n13)
      & n5 != n8
      & n1 = sum(n29,n3)
      & n4 != n16
      & n18 = sum(n7,n11)
      & n18 = sum(n2,n16)
      & n12 != n24
      & n0 != n19
      & n26 = sum(n29,n28)
      & n21 = sum(n21,n0)
      & n29 = sum(n14,n15)
      & n27 = sum(n29,n29)
      & n26 = sum(n16,n10)
      & n5 != n17
      & n16 = sum(n12,n4)
      & n18 = sum(n15,n3)
      & n10 != n16
      & n0 != n7
      & n8 != n12
      & n3 = sum(n11,n23)
      & n27 != n29
      & n16 = sum(n23,n24)
      & n16 = sum(n2,n14)
      & n24 = sum(n9,n15)
      & n27 = sum(n0,n27)
      & n0 = sum(n11,n20)
      & n11 != n16
      & n10 = sum(n27,n14)
      & n7 != n12
      & n28 = sum(n29,n30)
      & n29 = sum(n17,n12)
      & n22 = sum(n20,n2)
      & n0 = succ(n30)
      & succ(n20) = n21
      & n4 = sum(n20,n15)
      & n29 = sum(n29,n0)
      & n18 != n21
      & n25 = sum(n18,n7)
      & n29 = sum(n19,n10)
      & n22 = sum(n21,n1)
      & n7 = sum(n7,n0)
      & n18 = sum(n19,n30)
      & n19 = sum(n26,n24)
      & n10 = sum(n2,n8)
      & succ(n7) = n8
      & n13 = sum(n13,n0)
      & n10 = sum(n0,n10)
      & n9 = sum(n30,n10)
      & n16 != n20
      & n17 = sum(n3,n14)
      & n30 = sum(n1,n29)
      & n7 != n25
      & n23 != n29
      & n10 = sum(n29,n12)
      & n12 = sum(n21,n22)
      & n20 = sum(n18,n2)
      & n2 = pred(n3)
      & n26 = sum(n18,n8)
      & n1 = sum(n22,n10)
      & n12 = sum(n25,n18)
      & succ(n26) = n27
      & n24 = sum(n2,n22)
      & n10 = pred(n11)
      & succ(n5) = n6
      & n0 = sum(n2,n29)
      & n3 != n28
      & n21 = sum(n22,n30)
      & n5 != n15
      & n7 != n15
      & n0 != n5
      & n23 = sum(n25,n29)
      & n10 = sum(n22,n19)
      & n2 = sum(n18,n15)
      & n1 != n6
      & n9 = sum(n0,n9)
      & n1 != n11
      & n4 != n5
      & n21 != n25
      & n7 = sum(n13,n25)
      & n30 = sum(n0,n30)
      & n6 = sum(n7,n30)
      & n15 = sum(n18,n28)
      & n25 = sum(n28,n28)
      & n18 = sum(n11,n7)
      & n11 != n20
      & n30 = sum(n4,n26)
      & n29 = sum(n12,n17)
      & n14 = sum(n6,n8)
      & n10 != n11
      & n6 = sum(n21,n16)
      & n2 != n26
      & n23 = sum(n1,n22)
      & n14 = sum(n5,n9)
      & n22 = sum(n14,n8)
      & n19 != n21
      & n26 = sum(n5,n21)
      & n11 = pred(n12)
      & n30 = sum(n8,n22)
      & n11 != n24
      & n1 != n9
      & n18 = sum(n20,n29)
      & n11 = sum(n16,n26)
      & n19 = sum(n17,n2)
      & n13 = sum(n9,n4)
      & n8 != n23
      & n27 = sum(n27,n0)
      & n25 != n26
      & n0 = sum(n5,n26)
      & n7 = sum(n23,n15)
      & succ(n19) = n20
      & n24 != n27
      & n28 = sum(n25,n3)
      & n3 = sum(n21,n13)
      & n20 = sum(n2,n18)
      & n9 != n23
      & n23 = sum(n16,n7)
      & n18 = sum(n10,n8)
      & n1 != n26
      & n10 = sum(n6,n4)
      & n9 = sum(n15,n25)
      & n21 != n27
      & n22 = sum(n30,n23)
      & n3 = sum(n9,n25)
      & n0 = sum(n3,n28)
      & n25 = sum(n7,n18)
      & n28 = sum(n7,n21)
      & n25 = sum(n2,n23)
      & n27 = sum(n6,n21)
      & n4 != n12
      & n5 = sum(n25,n11)
      & n1 = sum(n21,n11)
      & n2 = sum(n4,n29)
      & n9 = sum(n6,n3)
      & n28 = sum(n15,n13)
      & n18 = sum(n14,n4)
      & n4 != n22
      & n9 = sum(n12,n28)
      & n22 != n24
      & n20 = sum(n5,n15)
      & n26 != n29
      & n21 = sum(n15,n6)
      & n23 = sum(n3,n20)
      & n0 = sum(n9,n22)
      & n20 != n21
      & n7 = sum(n6,n1)
      & n14 = sum(n3,n11)
      & n13 != n17
      & n19 = sum(n22,n28)
      & n27 = sum(n5,n22)
      & n17 = sum(n1,n16)
      & n3 != n24
      & n9 != n11
      & n21 = sum(n18,n3)
      & n0 != n1
      & n19 = sum(n19,n0)
      & n17 = sum(n17,n0)
      & n14 = sum(n0,n14)
      & n29 = sum(n26,n3)
      & n22 = sum(n29,n24)
      & n25 = sum(n12,n13)
      & n4 != n14
      & n2 != n16
      & n9 = sum(n9,n0)
      & n27 = sum(n8,n19)
      & n17 = pred(n18)
      & n20 = sum(n9,n11)
      & n17 = sum(n11,n6)
      & n24 = sum(n6,n18)
      & n8 = sum(n25,n14)
      & n12 = sum(n1,n11)
      & n0 != n2
      & n18 = sum(n23,n26)
      & n0 != n28
      & n10 != n15
      & n19 = sum(n13,n6)
      & n1 = sum(n27,n5)
      & n7 != n27
      & n4 != n9
      & n26 = sum(n11,n15)
      & n17 != n29
      & n19 = sum(n29,n21)
      & n21 = sum(n6,n15)
      & n22 != n28
      & n10 = sum(n15,n26)
      & n30 = sum(n22,n8)
      & n19 = sum(n23,n27)
      & n24 = sum(n17,n7)
      & n3 != n19
      & n1 = sum(n28,n4)
      & n29 = sum(n7,n22)
      & n12 != n27
      & n4 = sum(n21,n14)
      & n5 = sum(n19,n17)
      & n21 != n24
      & n5 = sum(n27,n9)
      & n21 = sum(n30,n22)
      & n2 != n8
      & n23 = sum(n24,n30)
      & n21 = sum(n0,n21)
      & n20 = sum(n30,n21)
      & n29 = sum(n22,n7)
      & n15 = sum(n23,n23)
      & n14 = sum(n16,n29)
      & n21 = sum(n4,n17)
      & n23 = sum(n19,n4)
      & n3 = sum(n16,n18)
      & n5 = sum(n14,n22)
      & n5 = sum(n7,n29)
      & n30 = sum(n25,n5)
      & n7 = sum(n16,n22)
      & n15 = sum(n28,n18)
      & n20 != n22
      & n8 = sum(n23,n16)
      & n2 != n19
      & n12 = sum(n18,n25)
      & n4 = sum(n0,n4)
      & n30 = sum(n27,n3)
      & n18 != n29 ) ),
    introduced(choice_axiom,[]) ).

fof(f2,plain,
    ? [X0,X1] :
      ( n11 != n17
      & n17 != n19
      & n19 = sum(n0,n19)
      & n18 != n23
      & n2 != n10
      & n0 != n24
      & n0 = sum(n22,n9)
      & n4 != n6
      & n11 = sum(n19,n23)
      & n28 = sum(n0,n28)
      & n22 = sum(n24,n29)
      & n0 != n22
      & n1 != n12
      & n24 = sum(n28,n27)
      & n24 = sum(n26,n29)
      & n28 = sum(n19,n9)
      & n25 = sum(n30,n26)
      & n7 != n13
      & n28 = sum(n28,n0)
      & n21 = sum(n24,n28)
      & n28 = sum(n5,n23)
      & n0 = sum(n21,n10)
      & n17 = sum(n9,n8)
      & n13 = sum(n26,n18)
      & n1 != n30
      & n26 = sum(n1,n25)
      & n9 = sum(n13,n27)
      & n30 = pred(n0)
      & n30 = sum(n23,n7)
      & n12 != n25
      & n26 = sum(n4,n22)
      & n0 = sum(n25,n6)
      & n24 = sum(n5,n19)
      & n2 != n20
      & n3 = sum(n12,n22)
      & n26 = sum(n15,n11)
      & n19 = sum(n7,n12)
      & n9 = sum(n1,n8)
      & n12 = pred(n13)
      & n27 = sum(n15,n12)
      & n9 = sum(n2,n7)
      & succ(n3) = n4
      & n2 != n18
      & n11 = sum(n12,n30)
      & n25 = sum(n4,n21)
      & n4 = sum(n2,n2)
      & n15 = sum(n10,n5)
      & n23 = sum(n28,n26)
      & n22 = pred(n23)
      & n6 = sum(n25,n12)
      & n2 = sum(n17,n16)
      & n21 = sum(n20,n1)
      & n7 != n9
      & ( n29 = X1
        | n2 = X1
        | n6 = X1
        | n22 = X1
        | n0 = X1
        | n4 = X1
        | n18 = X1
        | n24 = X1
        | n3 = X1
        | n10 = X1
        | n20 = X1
        | n14 = X1
        | n30 = X1
        | n15 = X1
        | n23 = X1
        | n11 = X1
        | n27 = X1
        | n25 = X1
        | n19 = X1
        | n28 = X1
        | n21 = X1
        | n5 = X1
        | n26 = X1
        | n12 = X1
        | n9 = X1
        | n17 = X1
        | n7 = X1
        | n13 = X1
        | n8 = X1
        | n16 = X1
        | n1 = X1 )
      & n24 = sum(n23,n1)
      & n10 = sum(n5,n5)
      & n29 = sum(n1,n28)
      & n5 = sum(n16,n20)
      & n4 = sum(n5,n30)
      & n10 = sum(n20,n21)
      & n2 != n5
      & n11 != n23
      & n10 != n18
      & n2 = sum(n22,n11)
      & n22 != n23
      & n23 = sum(n26,n28)
      & n6 != n25
      & n29 = sum(n27,n2)
      & n25 = sum(n8,n17)
      & n14 = sum(n11,n3)
      & n30 = sum(n24,n6)
      & n5 = sum(n6,n30)
      & n6 = sum(n29,n8)
      & n22 = sum(n1,n21)
      & n11 != n29
      & n6 != n7
      & n24 = pred(n25)
      & n7 != n24
      & n30 = sum(n13,n17)
      & n7 = sum(n10,n28)
      & n19 = sum(n27,n23)
      & n30 = sum(n11,n19)
      & n9 != n16
      & n30 = sum(n9,n21)
      & n7 = sum(n30,n8)
      & n3 != n20
      & n13 != n25
      & n12 != n15
      & n9 != n30
      & n5 = sum(n2,n3)
      & n30 = sum(n28,n2)
      & n19 = sum(n16,n3)
      & n14 = sum(n24,n21)
      & n15 = sum(n11,n4)
      & n29 = sum(n28,n1)
      & n9 != n27
      & n10 != n14
      & n28 = sum(n24,n4)
      & n24 != n28
      & n26 = sum(n22,n4)
      & n12 = sum(n30,n13)
      & n16 = sum(n8,n8)
      & n1 = pred(n2)
      & n21 = sum(n10,n11)
      & n13 = sum(n11,n2)
      & n26 = sum(n2,n24)
      & n29 = sum(n6,n23)
      & n6 = sum(n23,n14)
      & n17 = sum(n20,n28)
      & n7 = sum(n14,n24)
      & n23 != n27
      & n25 = sum(n24,n1)
      & n20 = pred(n21)
      & n9 = sum(n25,n15)
      & n5 != n27
      & n13 != n15
      & n15 = sum(n1,n14)
      & n6 != n21
      & n2 = sum(n11,n22)
      & n16 != n22
      & n12 != n13
      & n29 != n30
      & n26 = sum(n13,n13)
      & n11 = sum(n5,n6)
      & n16 != n18
      & n18 = sum(n3,n15)
      & n21 = sum(n27,n25)
      & n15 = sum(n15,n0)
      & n2 = sum(n21,n12)
      & n8 = sum(n19,n20)
      & n2 = sum(n3,n30)
      & n6 = sum(n4,n2)
      & n13 = sum(n25,n19)
      & n3 = sum(n10,n24)
      & n22 = sum(n23,n30)
      & n24 = sum(n15,n9)
      & n11 = sum(n25,n17)
      & n23 = sum(n27,n27)
      & n14 = sum(n30,n15)
      & n7 = sum(n9,n29)
      & n23 = sum(n20,n3)
      & n5 = sum(n12,n24)
      & n4 = sum(n28,n7)
      & n11 = sum(n28,n14)
      & n4 != n10
      & n4 != n19
      & n5 != n18
      & n11 = sum(n29,n13)
      & n10 != n29
      & n21 = sum(n2,n19)
      & n20 = sum(n21,n30)
      & n27 = sum(n14,n13)
      & n8 = sum(n24,n15)
      & n6 = sum(n0,n6)
      & n15 = sum(n2,n13)
      & n19 = sum(n3,n16)
      & n1 = sum(n7,n25)
      & n16 != n25
      & n12 = sum(n7,n5)
      & n4 != n17
      & sum(sum(pred(X1),succ(X1)),sum(pred(X0),succ(X0))) != sum(sum(pred(X1),succ(X0)),sum(pred(X0),succ(X1)))
      & n24 = sum(n4,n20)
      & n18 = sum(n4,n14)
      & n18 = sum(n1,n17)
      & n21 != n22
      & n4 != n7
      & n12 = sum(n6,n6)
      & n1 != n20
      & n2 != n23
      & n23 = pred(n24)
      & n14 = sum(n9,n5)
      & n13 = sum(n28,n16)
      & n10 != n27
      & n1 = sum(n26,n6)
      & n15 != n19
      & n4 = sum(n10,n25)
      & n29 = sum(n3,n26)
      & n10 = sum(n8,n2)
      & n23 != n30
      & n14 != n24
      & n1 = sum(n1,n0)
      & n0 = sum(n30,n1)
      & n26 = sum(n23,n3)
      & n13 = sum(n30,n14)
      & n14 = sum(n8,n6)
      & n21 = sum(n23,n29)
      & n1 = sum(n19,n13)
      & n15 != n24
      & n0 = sum(n19,n12)
      & n19 = sum(n11,n8)
      & n0 != n13
      & n24 = sum(n25,n30)
      & n27 = sum(n2,n25)
      & n7 = sum(n18,n20)
      & n22 = sum(n3,n19)
      & n26 = sum(n25,n1)
      & n19 != n28
      & n22 = sum(n26,n27)
      & n9 != n17
      & n12 = sum(n13,n30)
      & n27 = sum(n4,n23)
      & n22 != n27
      & succ(n18) = n19
      & n12 = sum(n4,n8)
      & n30 = sum(n5,n25)
      & n30 = sum(n15,n15)
      & n0 = sum(n13,n18)
      & n2 != n11
      & n5 != n14
      & n16 != n29
      & n0 != n25
      & n26 = sum(n10,n16)
      & n25 != n28
      & n3 != n9
      & n20 != n26
      & n24 = sum(n12,n12)
      & n26 = sum(n8,n18)
      & n19 != n23
      & n20 != n24
      & n9 != n10
      & n24 = sum(n16,n8)
      & n19 = sum(n15,n4)
      & n8 = sum(n17,n22)
      & n8 != n26
      & n2 != n15
      & n27 = sum(n21,n6)
      & n12 = sum(n16,n27)
      & n8 = sum(n13,n26)
      & n6 != n19
      & n16 != n19
      & n6 = sum(n3,n3)
      & n28 != n29
      & n6 != n30
      & n0 != n10
      & n7 = sum(n11,n27)
      & n24 = sum(n10,n14)
      & n11 != n26
      & n11 = sum(n20,n22)
      & n4 = sum(n18,n17)
      & n25 != n30
      & n23 = sum(n4,n19)
      & n19 = sum(n28,n22)
      & n12 = sum(n26,n17)
      & n11 != n13
      & n13 != n29
      & n3 = sum(n3,n0)
      & n14 != n20
      & n5 = sum(n17,n19)
      & n10 = sum(n3,n7)
      & n6 != n23
      & n15 = sum(n6,n9)
      & n13 = sum(n6,n7)
      & n6 = sum(n14,n23)
      & n16 = sum(n28,n19)
      & n5 = sum(n28,n8)
      & succ(n10) = n11
      & n10 = sum(n21,n20)
      & n0 != n14
      & n2 = sum(n1,n1)
      & n18 != n25
      & n19 = sum(n30,n20)
      & n20 = sum(n20,n0)
      & ( n1 = X0
        | n29 = X0
        | n2 = X0
        | n14 = X0
        | n18 = X0
        | n16 = X0
        | n5 = X0
        | n27 = X0
        | n28 = X0
        | n10 = X0
        | n3 = X0
        | n0 = X0
        | n24 = X0
        | n17 = X0
        | n15 = X0
        | n9 = X0
        | n26 = X0
        | n13 = X0
        | n12 = X0
        | n20 = X0
        | n7 = X0
        | n4 = X0
        | n11 = X0
        | n23 = X0
        | n22 = X0
        | n25 = X0
        | n30 = X0
        | n21 = X0
        | n19 = X0
        | n6 = X0
        | n8 = X0 )
      & succ(n28) = n29
      & n6 = sum(n9,n28)
      & n4 != n20
      & n14 != n28
      & n9 = sum(n4,n5)
      & n22 = sum(n8,n14)
      & n5 != n25
      & n24 = sum(n1,n23)
      & n27 = sum(n1,n26)
      & n8 = sum(n5,n3)
      & n30 = sum(n26,n4)
      & n7 = sum(n8,n30)
      & n24 = sum(n30,n25)
      & n2 = sum(n25,n8)
      & n13 = sum(n24,n20)
      & n9 = sum(n27,n13)
      & n0 = sum(n23,n8)
      & n13 = pred(n14)
      & n18 = pred(n19)
      & n0 = sum(n7,n24)
      & n28 = sum(n1,n27)
      & n12 != n23
      & n3 != n5
      & n8 != n13
      & n25 = sum(n19,n6)
      & n8 = sum(n9,n30)
      & n24 = sum(n27,n28)
      & n18 = sum(n17,n1)
      & n6 = sum(n18,n19)
      & n0 = sum(n1,n30)
      & n17 = sum(n12,n5)
      & n23 = sum(n29,n25)
      & n10 != n25
      & n23 = sum(n2,n21)
      & n2 != n22
      & succ(n23) = n24
      & n9 != n21
      & n6 != n13
      & n13 != n18
      & n12 = sum(n19,n24)
      & n0 != n27
      & n7 = pred(n8)
      & n20 = sum(n13,n7)
      & n13 = sum(n23,n21)
      & n1 != n27
      & n16 != n24
      & n16 = sum(n6,n10)
      & n4 != n11
      & n27 = sum(n3,n24)
      & n18 = sum(n6,n12)
      & n6 = sum(n5,n1)
      & n3 = sum(n29,n5)
      & n3 = sum(n4,n30)
      & n6 != n22
      & n6 = sum(n10,n27)
      & n3 != n21
      & n16 != n26
      & n8 = sum(n16,n23)
      & succ(n6) = n7
      & n16 = sum(n14,n2)
      & n4 != n15
      & n12 != n18
      & n15 = sum(n0,n15)
      & n16 = sum(n29,n18)
      & n28 = sum(n22,n6)
      & n3 != n27
      & n29 = sum(n30,n30)
      & n18 = sum(n0,n18)
      & n1 = sum(n13,n19)
      & n6 = sum(n11,n26)
      & n7 = sum(n22,n16)
      & n3 = sum(n20,n14)
      & n21 = sum(n14,n7)
      & n27 = pred(n28)
      & n15 = sum(n25,n21)
      & n18 != n26
      & n2 != n7
      & n17 != n18
      & n8 != n20
      & n17 != n28
      & n26 = sum(n30,n27)
      & n4 = sum(n14,n21)
      & n17 = sum(n6,n11)
      & n5 != n28
      & n12 != n30
      & n28 = sum(n18,n10)
      & n22 = sum(n7,n15)
      & n6 = sum(n27,n10)
      & n16 = pred(n17)
      & n20 != n28
      & n3 = sum(n22,n12)
      & n10 = sum(n14,n27)
      & n10 != n13
      & n10 != n28
      & n25 = sum(n5,n20)
      & n11 != n15
      & n8 = sum(n10,n29)
      & n1 = sum(n23,n9)
      & n10 = sum(n4,n6)
      & n20 = sum(n12,n8)
      & n1 != n22
      & n12 != n29
      & n15 != n21
      & n13 != n26
      & n7 != n20
      & n16 != n30
      & n3 = sum(n24,n10)
      & n29 = sum(n25,n4)
      & n25 = sum(n11,n14)
      & n1 = sum(n5,n27)
      & n2 = sum(n29,n4)
      & n18 = sum(n22,n27)
      & n3 = sum(n2,n1)
      & n1 != n14
      & n8 = sum(n29,n10)
      & n13 != n21
      & n13 != n22
      & n14 != n16
      & n28 = pred(n29)
      & n4 = sum(n11,n24)
      & n4 = sum(n3,n1)
      & n9 = sum(n26,n14)
      & n21 = sum(n16,n5)
      & n5 = sum(n8,n28)
      & n18 = sum(n8,n10)
      & n3 = sum(n0,n3)
      & n3 = sum(n23,n11)
      & n9 != n15
      & n17 = sum(n25,n23)
      & n11 = sum(n10,n1)
      & n17 != n23
      & n14 = sum(n22,n23)
      & n12 = sum(n28,n15)
      & n23 = sum(n15,n8)
      & n5 != n23
      & n20 = sum(n4,n16)
      & n2 = sum(n28,n5)
      & n27 = sum(n16,n11)
      & n20 = sum(n28,n23)
      & n28 = sum(n2,n26)
      & n23 = sum(n5,n18)
      & n18 = sum(n25,n24)
      & n12 = sum(n24,n19)
      & n1 = sum(n6,n26)
      & n13 = sum(n0,n13)
      & n21 = pred(n22)
      & n12 = sum(n8,n4)
      & n2 != n14
      & n6 != n8
      & n17 = sum(n7,n10)
      & n15 != n20
      & n0 = sum(n29,n2)
      & n3 != n6
      & n4 = sum(n1,n3)
      & n11 = sum(n13,n29)
      & n23 = sum(n0,n23)
      & n17 = sum(n8,n9)
      & n0 != n29
      & n26 = sum(n9,n17)
      & n24 = sum(n8,n16)
      & n8 != n30
      & n0 != n26
      & succ(n24) = n25
      & n18 != n28
      & n2 != n13
      & n13 = sum(n19,n25)
      & n20 = sum(n3,n17)
      & n0 = sum(n24,n7)
      & n19 = sum(n12,n7)
      & n12 = sum(n3,n9)
      & n4 = sum(n19,n16)
      & n25 = sum(n10,n15)
      & n5 = sum(n30,n6)
      & n4 != n23
      & n11 = sum(n4,n7)
      & n5 != n26
      & n7 = sum(n1,n6)
      & n24 = sum(n3,n21)
      & n8 != n21
      & n19 = sum(n10,n9)
      & n25 = sum(n26,n30)
      & n13 = sum(n1,n12)
      & n16 = sum(n4,n12)
      & n8 = sum(n18,n21)
      & n16 != n27
      & n25 = sum(n0,n25)
      & n26 != n28
      & n5 = sum(n10,n26)
      & n17 = sum(n14,n3)
      & n27 = sum(n26,n1)
      & n9 != n19
      & n19 = sum(n21,n29)
      & n3 != n29
      & n21 = sum(n29,n23)
      & n25 = sum(n25,n0)
      & n3 = sum(n25,n9)
      & n19 != n29
      & n8 != n27
      & n28 = sum(n11,n17)
      & n25 = sum(n3,n22)
      & n9 = sum(n18,n22)
      & n5 = sum(n24,n12)
      & n7 = sum(n2,n5)
      & n13 = sum(n20,n24)
      & n13 = sum(n10,n3)
      & n20 != n25
      & n3 = sum(n15,n19)
      & n17 = sum(n10,n7)
      & n27 = sum(n13,n14)
      & succ(n13) = n14
      & n10 = sum(n28,n13)
      & n4 != n24
      & n29 = sum(n0,n29)
      & n30 = sum(n7,n23)
      & n8 = sum(n21,n18)
      & n3 != n16
      & n16 = sum(n5,n11)
      & n1 != n7
      & n20 = sum(n19,n1)
      & n8 != n14
      & n26 = sum(n21,n5)
      & n11 = sum(n14,n28)
      & n24 = sum(n13,n11)
      & n21 = sum(n17,n4)
      & n9 = sum(n14,n26)
      & n5 = sum(n11,n25)
      & n16 = sum(n15,n1)
      & n16 = sum(n13,n3)
      & n14 != n15
      & n4 = sum(n7,n28)
      & n15 = sum(n8,n7)
      & n24 = sum(n21,n3)
      & n27 = sum(n19,n8)
      & n16 = sum(n3,n13)
      & n12 != n14
      & n10 != n19
      & n9 != n25
      & n21 != n29
      & n7 = sum(n19,n19)
      & n3 = sum(n18,n16)
      & n1 = sum(n3,n29)
      & n14 != n30
      & n1 != n10
      & n17 = sum(n22,n26)
      & n18 != n30
      & n9 = sum(n3,n6)
      & n7 = sum(n4,n3)
      & succ(n15) = n16
      & n16 = sum(n21,n26)
      & n13 = sum(n12,n1)
      & n24 != n26
      & n12 != n20
      & n20 = sum(n10,n10)
      & n19 = sum(n25,n25)
      & n2 = sum(n2,n0)
      & n19 = sum(n1,n18)
      & n0 = sum(n10,n21)
      & n5 = sum(n0,n5)
      & n14 = sum(n10,n4)
      & n26 = sum(n6,n20)
      & n27 != n30
      & n4 = sum(n15,n20)
      & n14 = sum(n13,n1)
      & n2 != n12
      & n27 = sum(n11,n16)
      & n8 = sum(n1,n7)
      & n15 != n22
      & n0 != n23
      & n10 = sum(n13,n28)
      & n2 != n28
      & n13 != n28
      & n12 = sum(n15,n28)
      & n25 != n29
      & succ(n12) = n13
      & n20 = sum(n23,n28)
      & n6 != n17
      & n8 = sum(n15,n24)
      & n2 != n21
      & n17 = sum(n16,n1)
      & n5 = sum(n26,n10)
      & n15 = sum(n3,n12)
      & n21 = sum(n11,n10)
      & n17 = sum(n27,n21)
      & n8 = sum(n20,n19)
      & n15 != n17
      & n16 = sum(n0,n16)
      & n5 = sum(n13,n23)
      & n0 = sum(n15,n16)
      & n13 = sum(n18,n26)
      & n7 = sum(n3,n4)
      & n12 = sum(n20,n23)
      & n23 = sum(n18,n5)
      & n29 = sum(n23,n6)
      & n2 = sum(n16,n17)
      & n11 = sum(n21,n21)
      & n26 = sum(n24,n2)
      & n16 = sum(n10,n6)
      & n20 = sum(n11,n9)
      & n0 != n9
      & n13 != n16
      & n28 = sum(n13,n15)
      & n23 != n24
      & n14 = sum(n7,n7)
      & n29 = sum(n24,n5)
      & n17 = sum(n24,n24)
      & n25 = sum(n29,n27)
      & n2 = sum(n20,n13)
      & n0 = sum(n6,n25)
      & n0 = sum(n27,n4)
      & n1 = sum(n18,n14)
      & n5 != n21
      & n4 != n27
      & n28 = sum(n16,n12)
      & n22 = sum(n13,n9)
      & n17 = sum(n30,n18)
      & n29 = sum(n5,n24)
      & n18 = sum(n26,n23)
      & n9 != n14
      & n3 != n10
      & n2 = sum(n27,n6)
      & n7 = sum(n29,n9)
      & n23 = sum(n8,n15)
      & n15 = sum(n4,n11)
      & n22 = sum(n9,n13)
      & n5 = sum(n22,n14)
      & n25 = sum(n22,n3)
      & succ(n27) = n28
      & n8 = sum(n28,n11)
      & n1 = sum(n20,n12)
      & n23 = sum(n11,n12)
      & n14 = sum(n17,n28)
      & n9 != n26
      & n18 != n24
      & n11 = sum(n11,n0)
      & n25 != n27
      & n21 = sum(n26,n26)
      & n21 = sum(n3,n18)
      & n6 != n29
      & n14 = sum(n29,n16)
      & n2 != n6
      & n12 != n28
      & n22 != n29
      & n26 = sum(n12,n14)
      & n10 = sum(n19,n22)
      & n24 = sum(n22,n2)
      & n0 = sum(n17,n14)
      & n0 = sum(n8,n23)
      & n27 = sum(n17,n10)
      & n14 = sum(n2,n12)
      & n3 != n4
      & n7 = sum(n12,n26)
      & n27 = sum(n25,n2)
      & n13 = sum(n4,n9)
      & n15 = sum(n24,n22)
      & n11 = sum(n7,n4)
      & n5 = sum(n29,n7)
      & n12 = sum(n2,n10)
      & n6 = sum(n1,n5)
      & n18 = sum(n30,n19)
      & n11 = sum(n27,n15)
      & n20 = sum(n8,n12)
      & n0 != n3
      & n17 != n25
      & n7 != n16
      & n11 = sum(n17,n25)
      & n16 != n28
      & n24 = sum(n0,n24)
      & n16 = sum(n18,n29)
      & n29 = sum(n2,n27)
      & n0 = pred(n1)
      & n20 = sum(n26,n25)
      & n13 = sum(n3,n10)
      & n26 != n30
      & n9 = sum(n23,n17)
      & n5 = pred(n6)
      & n6 = sum(n13,n24)
      & n1 != n13
      & n29 = sum(n21,n8)
      & n19 = sum(n20,n30)
      & n1 = sum(n17,n15)
      & n17 = sum(n13,n4)
      & n15 = sum(n22,n24)
      & n8 = sum(n8,n0)
      & n26 = pred(n27)
      & n17 = sum(n2,n15)
      & n5 != n16
      & n5 = sum(n3,n2)
      & n0 = sum(n28,n3)
      & n16 = sum(n24,n23)
      & n0 != n4
      & n15 = sum(n12,n3)
      & n28 = sum(n6,n22)
      & n2 = sum(n30,n3)
      & n24 = sum(n29,n26)
      & n25 = sum(n6,n19)
      & succ(n11) = n12
      & n7 = sum(n27,n11)
      & n4 = sum(n23,n12)
      & n20 != n23
      & n1 != n18
      & n6 = sum(n30,n7)
      & n28 = sum(n12,n16)
      & n10 = sum(n23,n18)
      & n6 != n9
      & n28 = sum(n10,n18)
      & n23 != n25
      & n9 != n20
      & n3 = sum(n6,n28)
      & n8 != n22
      & n23 = sum(n9,n14)
      & n8 = sum(n26,n13)
      & n3 != n12
      & n4 != n21
      & n1 != n4
      & n0 = sum(n18,n13)
      & n0 != n17
      & n3 = sum(n7,n27)
      & n26 = sum(n17,n9)
      & n4 != n30
      & n5 != n29
      & n15 != n16
      & n18 = sum(n12,n6)
      & n21 = sum(n9,n12)
      & n30 = sum(n19,n11)
      & n15 = sum(n26,n20)
      & n10 = sum(n1,n9)
      & n2 = sum(n8,n25)
      & n19 = pred(n20)
      & n20 = sum(n27,n24)
      & n4 != n8
      & n3 = sum(n17,n17)
      & n29 = sum(n8,n21)
      & n10 != n24
      & n21 != n30
      & n1 != n17
      & n3 != n22
      & n13 != n19
      & n7 = sum(n5,n2)
      & n21 != n28
      & n30 = sum(n16,n14)
      & n4 = sum(n26,n9)
      & n4 = sum(n13,n22)
      & n14 != n23
      & n11 = sum(n15,n27)
      & n7 != n10
      & n11 = sum(n22,n20)
      & n16 = sum(n25,n22)
      & succ(n29) = n30
      & n3 = sum(n19,n15)
      & n28 = sum(n17,n11)
      & n20 = sum(n24,n27)
      & n20 = sum(n22,n29)
      & n3 = sum(n30,n4)
      & n22 = sum(n4,n18)
      & n4 != n25
      & n11 = sum(n30,n12)
      & n11 = sum(n2,n9)
      & n15 = pred(n16)
      & n3 != n18
      & n6 != n24
      & n14 = sum(n14,n0)
      & n8 = sum(n2,n6)
      & n27 = sum(n10,n17)
      & n7 != n30
      & n9 = sum(n8,n1)
      & n21 = sum(n13,n8)
      & n15 = sum(n5,n10)
      & n0 = sum(n20,n11)
      & succ(n22) = n23
      & n16 = sum(n17,n30)
      & n15 != n28
      & n19 != n26
      & n5 = sum(n5,n0)
      & n28 = sum(n4,n24)
      & n3 = sum(n26,n8)
      & n14 != n18
      & n11 = sum(n23,n19)
      & n16 = sum(n27,n20)
      & n30 = sum(n3,n27)
      & n25 = sum(n23,n2)
      & n30 = sum(n14,n16)
      & n20 = sum(n17,n3)
      & n30 = sum(n12,n18)
      & n22 = sum(n12,n10)
      & n4 != n28
      & n21 != n26
      & n0 = sum(n4,n27)
      & n29 = pred(n30)
      & n23 = sum(n10,n13)
      & n28 = sum(n20,n8)
      & n26 = sum(n20,n6)
      & n22 = sum(n27,n26)
      & n10 = sum(n11,n30)
      & n0 = sum(n26,n5)
      & n9 != n12
      & n3 != n14
      & n3 = sum(n13,n21)
      & n11 = sum(n9,n2)
      & n4 = sum(n29,n6)
      & n23 = sum(n17,n6)
      & succ(n1) = n2
      & n6 = sum(n20,n17)
      & n13 = sum(n5,n8)
      & n3 != n15
      & n15 != n23
      & n12 = sum(n29,n14)
      & n7 = sum(n17,n21)
      & n19 != n25
      & n21 = sum(n5,n16)
      & n19 = sum(n8,n11)
      & n5 != n20
      & n14 = sum(n18,n27)
      & n2 = sum(n24,n9)
      & n4 = sum(n4,n0)
      & n8 != n24
      & n29 = sum(n10,n19)
      & n11 != n14
      & n3 = pred(n4)
      & n2 = sum(n14,n19)
      & n25 = sum(n27,n29)
      & n0 = sum(n0,n0)
      & n22 = sum(n6,n16)
      & n8 = sum(n3,n5)
      & n18 = sum(n27,n22)
      & n28 = sum(n27,n1)
      & n8 != n29
      & n12 != n16
      & n2 != n25
      & n4 = sum(n8,n27)
      & n9 != n13
      & n1 != n29
      & n4 = sum(n12,n23)
      & n5 != n9
      & n17 = sum(n28,n20)
      & n22 = sum(n2,n20)
      & n7 != n14
      & n19 = sum(n6,n13)
      & n21 = sum(n8,n13)
      & n10 != n12
      & n13 = sum(n8,n5)
      & n12 = sum(n27,n16)
      & n27 != n28
      & n28 = sum(n26,n2)
      & n5 != n30
      & n26 = sum(n26,n0)
      & n8 = sum(n22,n17)
      & n10 = sum(n25,n16)
      & n7 = sum(n25,n13)
      & n6 = pred(n7)
      & n14 = sum(n25,n20)
      & n12 = sum(n14,n29)
      & n11 = sum(n18,n24)
      & n14 = sum(n1,n13)
      & n7 = sum(n20,n18)
      & n4 != n18
      & n11 = sum(n26,n16)
      & n16 = sum(n20,n27)
      & n22 = sum(n11,n11)
      & n14 != n19
      & n8 = sum(n11,n28)
      & n25 = pred(n26)
      & n11 != n22
      & n2 = sum(n15,n18)
      & n20 = sum(n15,n5)
      & n11 = sum(n3,n8)
      & n5 != n24
      & n0 != n18
      & n0 = sum(n12,n19)
      & n22 = sum(n25,n28)
      & n11 != n30
      & n23 = sum(n14,n9)
      & n28 = sum(n14,n14)
      & n9 = pred(n10)
      & n7 != n23
      & n2 != n4
      & n16 = sum(n30,n17)
      & n2 = sum(n26,n7)
      & n15 != n25
      & n1 = sum(n25,n7)
      & n16 = sum(n26,n21)
      & n25 = sum(n9,n16)
      & n30 = sum(n2,n28)
      & n20 = sum(n25,n26)
      & n6 = sum(n22,n15)
      & n8 = sum(n0,n8)
      & n11 = sum(n1,n10)
      & n30 = sum(n29,n1)
      & n17 != n20
      & n3 != n8
      & n24 = sum(n11,n13)
      & n17 = sum(n19,n29)
      & n21 = sum(n28,n24)
      & n4 = sum(n27,n8)
      & n0 != n11
      & n9 = sum(n5,n4)
      & n0 != n21
      & n7 = sum(n24,n14)
      & n5 = sum(n18,n18)
      & n17 = sum(n15,n2)
      & succ(n2) = n3
      & n2 = sum(n7,n26)
      & n26 = sum(n0,n26)
      & n7 != n18
      & n9 != n29
      & n12 != n19
      & n15 = sum(n14,n1)
      & n1 = sum(n10,n22)
      & n3 = sum(n14,n20)
      & n8 = sum(n4,n4)
      & n12 = sum(n17,n26)
      & succ(n25) = n26
      & n18 = sum(n13,n5)
      & n18 != n20
      & n28 = sum(n9,n19)
      & n1 = sum(n12,n20)
      & n2 = sum(n10,n23)
      & n18 = sum(n21,n28)
      & n10 = sum(n30,n11)
      & n13 = sum(n14,n30)
      & n9 = sum(n22,n18)
      & n29 = sum(n15,n14)
      & n5 != n19
      & n8 = sum(n7,n1)
      & n2 = sum(n23,n10)
      & n11 = sum(n6,n5)
      & n28 = sum(n21,n7)
      & n5 != n7
      & n10 != n30
      & n13 != n27
      & n15 != n30
      & n14 != n27
      & n20 = sum(n0,n20)
      & n9 = sum(n10,n30)
      & n5 != n22
      & n19 != n27
      & n17 = sum(n5,n12)
      & n4 = sum(n30,n5)
      & n7 != n28
      & n30 = sum(n30,n0)
      & n18 = sum(n16,n2)
      & n23 = sum(n6,n17)
      & n5 != n13
      & n13 != n20
      & n1 != n8
      & n5 = sum(n9,n27)
      & n21 = sum(n25,n27)
      & n21 = sum(n7,n14)
      & succ(n17) = n18
      & n14 = sum(n28,n17)
      & n20 = sum(n14,n6)
      & n20 = sum(n1,n19)
      & n22 != n25
      & n4 != n26
      & n0 != n16
      & n16 = sum(n7,n9)
      & n14 != n17
      & n25 = sum(n17,n8)
      & n23 = sum(n30,n24)
      & succ(n9) = n10
      & n27 = sum(n24,n3)
      & n4 = sum(n9,n26)
      & n25 = sum(n15,n10)
      & n8 != n9
      & n11 != n19
      & n7 != n8
      & n13 != n24
      & n1 != n19
      & n1 != n25
      & n15 = sum(n19,n27)
      & n4 != n29
      & n30 = sum(n10,n20)
      & n24 = sum(n18,n6)
      & n11 = sum(n8,n3)
      & n1 = sum(n11,n21)
      & n22 = sum(n19,n3)
      & n27 = sum(n22,n5)
      & n20 != n29
      & n1 = sum(n2,n30)
      & n11 != n12
      & n15 != n18
      & n18 = sum(n28,n21)
      & n0 = sum(n14,n17)
      & n5 = sum(n21,n15)
      & n3 != n23
      & n10 = sum(n24,n17)
      & n26 = sum(n14,n12)
      & n13 = sum(n7,n6)
      & n6 != n16
      & n16 = sum(n11,n5)
      & n7 = sum(n28,n10)
      & n9 = sum(n11,n29)
      & n19 = sum(n5,n14)
      & n1 = sum(n30,n2)
      & n20 != n30
      & n27 = sum(n20,n7)
      & n3 = sum(n8,n26)
      & n7 != n17
      & n10 = sum(n9,n1)
      & n19 = sum(n4,n15)
      & n8 = sum(n6,n2)
      & n8 != n18
      & n7 = sum(n26,n12)
      & n15 = sum(n16,n30)
      & n24 != n25
      & n5 = sum(n4,n1)
      & n3 != n17
      & n8 = sum(n12,n27)
      & n14 = sum(n4,n10)
      & n10 != n21
      & n2 = sum(n0,n2)
      & n24 = sum(n19,n5)
      & succ(n4) = n5
      & n6 != n14
      & n23 = sum(n22,n1)
      & n16 = sum(n19,n28)
      & n6 != n11
      & succ(n8) = n9
      & n7 != n29
      & n7 != n26
      & n15 != n29
      & n1 != n24
      & n13 != n23
      & n27 = sum(n9,n18)
      & n1 = sum(n4,n28)
      & n4 = sum(n17,n18)
      & n29 = sum(n4,n25)
      & n19 = sum(n9,n10)
      & n7 != n21
      & n22 = sum(n0,n22)
      & n14 != n29
      & n6 = sum(n28,n9)
      & n6 != n26
      & n30 = sum(n6,n24)
      & n15 = sum(n27,n19)
      & n24 = sum(n20,n4)
      & n10 != n17
      & n23 = sum(n12,n11)
      & n7 != n22
      & n10 = sum(n18,n23)
      & n9 = sum(n16,n24)
      & n3 != n30
      & n9 = sum(n17,n23)
      & n17 != n22
      & n12 = sum(n11,n1)
      & n18 = sum(n9,n9)
      & n28 != n30
      & n3 != n25
      & n14 = sum(n26,n19)
      & n21 != n23
      & n5 != n6
      & n4 = sum(n22,n13)
      & n18 = sum(n18,n0)
      & n20 = sum(n29,n22)
      & n9 = sum(n29,n11)
      & n19 != n30
      & n6 = sum(n12,n25)
      & n1 = sum(n24,n8)
      & n18 != n27
      & n2 = sum(n12,n21)
      & n24 = sum(n24,n0)
      & n19 != n22
      & n2 = sum(n6,n27)
      & n22 = sum(n17,n5)
      & n11 != n25
      & n6 != n12
      & n12 = sum(n0,n12)
      & n19 != n20
      & n8 = sum(n30,n9)
      & n26 = sum(n27,n30)
      & n9 != n24
      & n1 = sum(n15,n17)
      & n27 = sum(n7,n20)
      & n25 = sum(n1,n24)
      & n2 != n3
      & n4 = sum(n6,n29)
      & n1 != n23
      & n14 != n26
      & n13 = sum(n15,n29)
      & n10 != n23
      & n17 = sum(n26,n22)
      & n18 = sum(n29,n20)
      & n26 = sum(n3,n23)
      & n17 = sum(n21,n27)
      & n18 = sum(n5,n13)
      & n8 != n19
      & n5 != n11
      & n15 = sum(n7,n8)
      & n0 != n8
      & n16 = sum(n9,n7)
      & n24 != n30
      & n13 = sum(n29,n15)
      & n23 = sum(n13,n10)
      & n9 = sum(n24,n16)
      & n15 = sum(n30,n16)
      & n19 = sum(n18,n1)
      & n21 = sum(n1,n20)
      & n27 = sum(n30,n28)
      & n3 != n26
      & n0 != n20
      & n20 = sum(n6,n14)
      & n22 = sum(n10,n12)
      & n23 = sum(n21,n2)
      & n6 = sum(n26,n11)
      & n3 != n11
      & n16 != n21
      & n15 = sum(n17,n29)
      & n13 = sum(n22,n22)
      & n7 = sum(n0,n7)
      & n11 = sum(n0,n11)
      & n2 != n27
      & n5 = sum(n1,n4)
      & n7 = sum(n15,n23)
      & n8 != n10
      & n22 != n30
      & n6 = sum(n15,n22)
      & succ(n14) = n15
      & n17 != n26
      & n14 = pred(n15)
      & n17 != n27
      & succ(n0) = n1
      & n3 = sum(n27,n7)
      & n13 != n14
      & n8 = sum(n14,n25)
      & n15 != n26
      & n12 = sum(n9,n3)
      & n12 != n22
      & n26 = sum(n19,n7)
      & n2 != n24
      & n14 = sum(n20,n25)
      & n10 != n20
      & n26 = sum(n28,n29)
      & n14 = sum(n12,n2)
      & n6 != n20
      & n16 != n17
      & n29 = sum(n20,n9)
      & n11 = sum(n24,n18)
      & n16 = sum(n16,n0)
      & n22 = sum(n22,n0)
      & n1 != n15
      & n21 = sum(n19,n2)
      & n10 != n22
      & n6 != n15
      & n18 = sum(n24,n25)
      & n15 = sum(n21,n25)
      & n8 != n15
      & n27 = sum(n28,n30)
      & n22 = sum(n18,n4)
      & n23 = sum(n7,n16)
      & n30 = sum(n21,n9)
      & n10 = sum(n17,n24)
      & n3 != n13
      & n15 = sum(n20,n26)
      & n12 != n17
      & n25 = sum(n20,n5)
      & n8 != n17
      & n1 = sum(n0,n1)
      & n9 = sum(n28,n12)
      & n29 = sum(n13,n16)
      & n13 = sum(n27,n17)
      & n0 != n15
      & n17 != n30
      & n30 = sum(n20,n10)
      & n1 != n3
      & n29 = sum(n11,n18)
      & n1 != n28
      & n16 = sum(n22,n25)
      & n15 = sum(n13,n2)
      & n2 != n29
      & n18 != n22
      & n1 = sum(n14,n18)
      & n28 = sum(n8,n20)
      & n2 != n9
      & n1 != n16
      & n15 = sum(n29,n17)
      & n12 = sum(n5,n7)
      & n24 = sum(n7,n17)
      & n27 = sum(n18,n9)
      & n11 != n18
      & n13 = sum(n2,n11)
      & n13 = sum(n16,n28)
      & n17 = sum(n4,n13)
      & n2 = sum(n9,n24)
      & n27 = sum(n23,n4)
      & n10 = sum(n26,n15)
      & n14 = sum(n15,n30)
      & n10 = sum(n16,n25)
      & n0 != n12
      & n24 = sum(n14,n10)
      & n2 = sum(n5,n28)
      & n13 = sum(n21,n23)
      & n16 != n23
      & n26 != n27
      & n4 = sum(n16,n19)
      & n22 = sum(n16,n6)
      & n28 = sum(n30,n29)
      & n3 = sum(n5,n29)
      & n6 = sum(n2,n4)
      & n5 = sum(n15,n21)
      & n6 = sum(n19,n18)
      & n5 = sum(n23,n13)
      & n6 != n28
      & n22 = sum(n5,n17)
      & n0 = sum(n16,n15)
      & n29 = sum(n18,n11)
      & n17 = sum(n29,n19)
      & n23 = sum(n23,n0)
      & n0 != n6
      & n9 = sum(n20,n20)
      & n14 != n21
      & n6 != n10
      & n22 = sum(n28,n25)
      & n17 = sum(n0,n17)
      & n1 = sum(n16,n16)
      & n8 = pred(n9)
      & n18 != n19
      & n3 = sum(n1,n2)
      & n22 != n26
      & n12 = sum(n10,n2)
      & n2 = sum(n13,n20)
      & n6 = sum(n16,n21)
      & n17 != n24
      & n6 = sum(n8,n29)
      & n9 = sum(n7,n2)
      & n17 = sum(n18,n30)
      & n20 = sum(n7,n13)
      & n28 = sum(n23,n5)
      & n25 = sum(n21,n4)
      & n20 = sum(n16,n4)
      & n6 = sum(n24,n13)
      & n12 = sum(n23,n20)
      & n12 = sum(n22,n21)
      & n4 = sum(n24,n11)
      & n24 != n29
      & n9 = sum(n21,n19)
      & n7 != n19
      & n20 != n27
      & n1 = sum(n8,n24)
      & n7 != n11
      & n10 = sum(n10,n0)
      & n25 = sum(n13,n12)
      & n5 != n10
      & n16 = sum(n1,n15)
      & n8 != n25
      & n12 != n26
      & n27 = sum(n12,n15)
      & n25 = sum(n14,n11)
      & n23 != n26
      & n9 != n28
      & n19 = sum(n2,n17)
      & n10 = sum(n7,n3)
      & n23 != n28
      & n6 != n27
      & n30 = sum(n18,n12)
      & n1 = sum(n9,n23)
      & n8 = sum(n27,n12)
      & n1 != n5
      & n17 = sum(n23,n25)
      & n28 = sum(n3,n25)
      & n14 != n25
      & n13 != n30
      & n2 != n17
      & n17 != n21
      & n30 = sum(n17,n13)
      & n1 != n2
      & n21 = sum(n12,n9)
      & n9 = sum(n19,n21)
      & succ(n16) = n17
      & n2 = sum(n19,n14)
      & n14 = sum(n19,n26)
      & n3 = sum(n28,n6)
      & n12 = sum(n12,n0)
      & n11 != n27
      & n10 = sum(n12,n29)
      & n26 = sum(n7,n19)
      & n5 = sum(n20,n16)
      & n5 != n12
      & n14 = sum(n27,n18)
      & n14 = sum(n23,n22)
      & n29 = sum(n9,n20)
      & n4 != n13
      & n2 != n30
      & n1 != n21
      & n19 = sum(n14,n5)
      & n3 != n7
      & n12 != n21
      & n7 = sum(n21,n17)
      & n13 = sum(n17,n27)
      & n11 != n21
      & n8 != n16
      & n11 != n28
      & n19 = sum(n24,n26)
      & n0 != n30
      & n22 = sum(n15,n7)
      & n9 != n22
      & n19 != n24
      & succ(n21) = n22
      & n8 != n28
      & n15 = sum(n9,n6)
      & n4 = sum(n25,n10)
      & n6 = sum(n6,n0)
      & n6 != n18
      & n8 != n11
      & n4 = pred(n5)
      & n15 != n27
      & n9 != n18
      & n10 != n26
      & n14 = sum(n21,n24)
      & n25 = sum(n16,n9)
      & n6 = sum(n17,n20)
      & n14 != n22
      & n29 = sum(n16,n13)
      & n5 != n8
      & n1 = sum(n29,n3)
      & n4 != n16
      & n18 = sum(n7,n11)
      & n18 = sum(n2,n16)
      & n12 != n24
      & n0 != n19
      & n26 = sum(n29,n28)
      & n21 = sum(n21,n0)
      & n29 = sum(n14,n15)
      & n27 = sum(n29,n29)
      & n26 = sum(n16,n10)
      & n5 != n17
      & n16 = sum(n12,n4)
      & n18 = sum(n15,n3)
      & n10 != n16
      & n0 != n7
      & n8 != n12
      & n3 = sum(n11,n23)
      & n27 != n29
      & n16 = sum(n23,n24)
      & n16 = sum(n2,n14)
      & n24 = sum(n9,n15)
      & n27 = sum(n0,n27)
      & n0 = sum(n11,n20)
      & n11 != n16
      & n10 = sum(n27,n14)
      & n7 != n12
      & n28 = sum(n29,n30)
      & n29 = sum(n17,n12)
      & n22 = sum(n20,n2)
      & n0 = succ(n30)
      & succ(n20) = n21
      & n4 = sum(n20,n15)
      & n29 = sum(n29,n0)
      & n18 != n21
      & n25 = sum(n18,n7)
      & n29 = sum(n19,n10)
      & n22 = sum(n21,n1)
      & n7 = sum(n7,n0)
      & n18 = sum(n19,n30)
      & n19 = sum(n26,n24)
      & n10 = sum(n2,n8)
      & succ(n7) = n8
      & n13 = sum(n13,n0)
      & n10 = sum(n0,n10)
      & n9 = sum(n30,n10)
      & n16 != n20
      & n17 = sum(n3,n14)
      & n30 = sum(n1,n29)
      & n7 != n25
      & n23 != n29
      & n10 = sum(n29,n12)
      & n12 = sum(n21,n22)
      & n20 = sum(n18,n2)
      & n2 = pred(n3)
      & n26 = sum(n18,n8)
      & n1 = sum(n22,n10)
      & n12 = sum(n25,n18)
      & succ(n26) = n27
      & n24 = sum(n2,n22)
      & n10 = pred(n11)
      & succ(n5) = n6
      & n0 = sum(n2,n29)
      & n3 != n28
      & n21 = sum(n22,n30)
      & n5 != n15
      & n7 != n15
      & n0 != n5
      & n23 = sum(n25,n29)
      & n10 = sum(n22,n19)
      & n2 = sum(n18,n15)
      & n1 != n6
      & n9 = sum(n0,n9)
      & n1 != n11
      & n4 != n5
      & n21 != n25
      & n7 = sum(n13,n25)
      & n30 = sum(n0,n30)
      & n6 = sum(n7,n30)
      & n15 = sum(n18,n28)
      & n25 = sum(n28,n28)
      & n18 = sum(n11,n7)
      & n11 != n20
      & n30 = sum(n4,n26)
      & n29 = sum(n12,n17)
      & n14 = sum(n6,n8)
      & n10 != n11
      & n6 = sum(n21,n16)
      & n2 != n26
      & n23 = sum(n1,n22)
      & n14 = sum(n5,n9)
      & n22 = sum(n14,n8)
      & n19 != n21
      & n26 = sum(n5,n21)
      & n11 = pred(n12)
      & n30 = sum(n8,n22)
      & n11 != n24
      & n1 != n9
      & n18 = sum(n20,n29)
      & n11 = sum(n16,n26)
      & n19 = sum(n17,n2)
      & n13 = sum(n9,n4)
      & n8 != n23
      & n27 = sum(n27,n0)
      & n25 != n26
      & n0 = sum(n5,n26)
      & n7 = sum(n23,n15)
      & succ(n19) = n20
      & n24 != n27
      & n28 = sum(n25,n3)
      & n3 = sum(n21,n13)
      & n20 = sum(n2,n18)
      & n9 != n23
      & n23 = sum(n16,n7)
      & n18 = sum(n10,n8)
      & n1 != n26
      & n10 = sum(n6,n4)
      & n9 = sum(n15,n25)
      & n21 != n27
      & n22 = sum(n30,n23)
      & n3 = sum(n9,n25)
      & n0 = sum(n3,n28)
      & n25 = sum(n7,n18)
      & n28 = sum(n7,n21)
      & n25 = sum(n2,n23)
      & n27 = sum(n6,n21)
      & n4 != n12
      & n5 = sum(n25,n11)
      & n1 = sum(n21,n11)
      & n2 = sum(n4,n29)
      & n9 = sum(n6,n3)
      & n28 = sum(n15,n13)
      & n18 = sum(n14,n4)
      & n4 != n22
      & n9 = sum(n12,n28)
      & n22 != n24
      & n20 = sum(n5,n15)
      & n26 != n29
      & n21 = sum(n15,n6)
      & n23 = sum(n3,n20)
      & n0 = sum(n9,n22)
      & n20 != n21
      & n7 = sum(n6,n1)
      & n14 = sum(n3,n11)
      & n13 != n17
      & n19 = sum(n22,n28)
      & n27 = sum(n5,n22)
      & n17 = sum(n1,n16)
      & n3 != n24
      & n9 != n11
      & n21 = sum(n18,n3)
      & n0 != n1
      & n19 = sum(n19,n0)
      & n17 = sum(n17,n0)
      & n14 = sum(n0,n14)
      & n29 = sum(n26,n3)
      & n22 = sum(n29,n24)
      & n25 = sum(n12,n13)
      & n4 != n14
      & n2 != n16
      & n9 = sum(n9,n0)
      & n27 = sum(n8,n19)
      & n17 = pred(n18)
      & n20 = sum(n9,n11)
      & n17 = sum(n11,n6)
      & n24 = sum(n6,n18)
      & n8 = sum(n25,n14)
      & n12 = sum(n1,n11)
      & n0 != n2
      & n18 = sum(n23,n26)
      & n0 != n28
      & n10 != n15
      & n19 = sum(n13,n6)
      & n1 = sum(n27,n5)
      & n7 != n27
      & n4 != n9
      & n26 = sum(n11,n15)
      & n17 != n29
      & n19 = sum(n29,n21)
      & n21 = sum(n6,n15)
      & n22 != n28
      & n10 = sum(n15,n26)
      & n30 = sum(n22,n8)
      & n19 = sum(n23,n27)
      & n24 = sum(n17,n7)
      & n3 != n19
      & n1 = sum(n28,n4)
      & n29 = sum(n7,n22)
      & n12 != n27
      & n4 = sum(n21,n14)
      & n5 = sum(n19,n17)
      & n21 != n24
      & n5 = sum(n27,n9)
      & n21 = sum(n30,n22)
      & n2 != n8
      & n23 = sum(n24,n30)
      & n21 = sum(n0,n21)
      & n20 = sum(n30,n21)
      & n29 = sum(n22,n7)
      & n15 = sum(n23,n23)
      & n14 = sum(n16,n29)
      & n21 = sum(n4,n17)
      & n23 = sum(n19,n4)
      & n3 = sum(n16,n18)
      & n5 = sum(n14,n22)
      & n5 = sum(n7,n29)
      & n30 = sum(n25,n5)
      & n7 = sum(n16,n22)
      & n15 = sum(n28,n18)
      & n20 != n22
      & n8 = sum(n23,n16)
      & n2 != n19
      & n12 = sum(n18,n25)
      & n4 = sum(n0,n4)
      & n30 = sum(n27,n3)
      & n18 != n29 ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ? [X1,X0] :
      ( n11 != n17
      & n17 != n19
      & n19 = sum(n0,n19)
      & n18 != n23
      & n2 != n10
      & n0 != n24
      & n0 = sum(n22,n9)
      & n4 != n6
      & n11 = sum(n19,n23)
      & n28 = sum(n0,n28)
      & n22 = sum(n24,n29)
      & n0 != n22
      & n1 != n12
      & n24 = sum(n28,n27)
      & n24 = sum(n26,n29)
      & n28 = sum(n19,n9)
      & n25 = sum(n30,n26)
      & n7 != n13
      & n28 = sum(n28,n0)
      & n21 = sum(n24,n28)
      & n28 = sum(n5,n23)
      & n0 = sum(n21,n10)
      & n17 = sum(n9,n8)
      & n13 = sum(n26,n18)
      & n1 != n30
      & n26 = sum(n1,n25)
      & n9 = sum(n13,n27)
      & n30 = pred(n0)
      & n30 = sum(n23,n7)
      & n12 != n25
      & n26 = sum(n4,n22)
      & n0 = sum(n25,n6)
      & n24 = sum(n5,n19)
      & n2 != n20
      & n3 = sum(n12,n22)
      & n26 = sum(n15,n11)
      & n19 = sum(n7,n12)
      & n9 = sum(n1,n8)
      & n12 = pred(n13)
      & n27 = sum(n15,n12)
      & n9 = sum(n2,n7)
      & succ(n3) = n4
      & n2 != n18
      & n11 = sum(n12,n30)
      & n25 = sum(n4,n21)
      & n4 = sum(n2,n2)
      & n15 = sum(n10,n5)
      & n23 = sum(n28,n26)
      & n22 = pred(n23)
      & n6 = sum(n25,n12)
      & n2 = sum(n17,n16)
      & n21 = sum(n20,n1)
      & n7 != n9
      & ( n29 = X0
        | n2 = X0
        | n6 = X0
        | n22 = X0
        | n0 = X0
        | n4 = X0
        | n18 = X0
        | n24 = X0
        | n3 = X0
        | n10 = X0
        | n20 = X0
        | n14 = X0
        | n30 = X0
        | n15 = X0
        | n23 = X0
        | n11 = X0
        | n27 = X0
        | n25 = X0
        | n19 = X0
        | n28 = X0
        | n21 = X0
        | n5 = X0
        | n26 = X0
        | n12 = X0
        | n9 = X0
        | n17 = X0
        | n7 = X0
        | n13 = X0
        | n8 = X0
        | n16 = X0
        | n1 = X0 )
      & n24 = sum(n23,n1)
      & n10 = sum(n5,n5)
      & n29 = sum(n1,n28)
      & n5 = sum(n16,n20)
      & n4 = sum(n5,n30)
      & n10 = sum(n20,n21)
      & n2 != n5
      & n11 != n23
      & n10 != n18
      & n2 = sum(n22,n11)
      & n22 != n23
      & n23 = sum(n26,n28)
      & n6 != n25
      & n29 = sum(n27,n2)
      & n25 = sum(n8,n17)
      & n14 = sum(n11,n3)
      & n30 = sum(n24,n6)
      & n5 = sum(n6,n30)
      & n6 = sum(n29,n8)
      & n22 = sum(n1,n21)
      & n11 != n29
      & n6 != n7
      & n24 = pred(n25)
      & n7 != n24
      & n30 = sum(n13,n17)
      & n7 = sum(n10,n28)
      & n19 = sum(n27,n23)
      & n30 = sum(n11,n19)
      & n9 != n16
      & n30 = sum(n9,n21)
      & n7 = sum(n30,n8)
      & n3 != n20
      & n13 != n25
      & n12 != n15
      & n9 != n30
      & n5 = sum(n2,n3)
      & n30 = sum(n28,n2)
      & n19 = sum(n16,n3)
      & n14 = sum(n24,n21)
      & n15 = sum(n11,n4)
      & n29 = sum(n28,n1)
      & n9 != n27
      & n10 != n14
      & n28 = sum(n24,n4)
      & n24 != n28
      & n26 = sum(n22,n4)
      & n12 = sum(n30,n13)
      & n16 = sum(n8,n8)
      & n1 = pred(n2)
      & n21 = sum(n10,n11)
      & n13 = sum(n11,n2)
      & n26 = sum(n2,n24)
      & n29 = sum(n6,n23)
      & n6 = sum(n23,n14)
      & n17 = sum(n20,n28)
      & n7 = sum(n14,n24)
      & n23 != n27
      & n25 = sum(n24,n1)
      & n20 = pred(n21)
      & n9 = sum(n25,n15)
      & n5 != n27
      & n13 != n15
      & n15 = sum(n1,n14)
      & n6 != n21
      & n2 = sum(n11,n22)
      & n16 != n22
      & n12 != n13
      & n29 != n30
      & n26 = sum(n13,n13)
      & n11 = sum(n5,n6)
      & n16 != n18
      & n18 = sum(n3,n15)
      & n21 = sum(n27,n25)
      & n15 = sum(n15,n0)
      & n2 = sum(n21,n12)
      & n8 = sum(n19,n20)
      & n2 = sum(n3,n30)
      & n6 = sum(n4,n2)
      & n13 = sum(n25,n19)
      & n3 = sum(n10,n24)
      & n22 = sum(n23,n30)
      & n24 = sum(n15,n9)
      & n11 = sum(n25,n17)
      & n23 = sum(n27,n27)
      & n14 = sum(n30,n15)
      & n7 = sum(n9,n29)
      & n23 = sum(n20,n3)
      & n5 = sum(n12,n24)
      & n4 = sum(n28,n7)
      & n11 = sum(n28,n14)
      & n4 != n10
      & n4 != n19
      & n5 != n18
      & n11 = sum(n29,n13)
      & n10 != n29
      & n21 = sum(n2,n19)
      & n20 = sum(n21,n30)
      & n27 = sum(n14,n13)
      & n8 = sum(n24,n15)
      & n6 = sum(n0,n6)
      & n15 = sum(n2,n13)
      & n19 = sum(n3,n16)
      & n1 = sum(n7,n25)
      & n16 != n25
      & n12 = sum(n7,n5)
      & n4 != n17
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
      & n24 = sum(n4,n20)
      & n18 = sum(n4,n14)
      & n18 = sum(n1,n17)
      & n21 != n22
      & n4 != n7
      & n12 = sum(n6,n6)
      & n1 != n20
      & n2 != n23
      & n23 = pred(n24)
      & n14 = sum(n9,n5)
      & n13 = sum(n28,n16)
      & n10 != n27
      & n1 = sum(n26,n6)
      & n15 != n19
      & n4 = sum(n10,n25)
      & n29 = sum(n3,n26)
      & n10 = sum(n8,n2)
      & n23 != n30
      & n14 != n24
      & n1 = sum(n1,n0)
      & n0 = sum(n30,n1)
      & n26 = sum(n23,n3)
      & n13 = sum(n30,n14)
      & n14 = sum(n8,n6)
      & n21 = sum(n23,n29)
      & n1 = sum(n19,n13)
      & n15 != n24
      & n0 = sum(n19,n12)
      & n19 = sum(n11,n8)
      & n0 != n13
      & n24 = sum(n25,n30)
      & n27 = sum(n2,n25)
      & n7 = sum(n18,n20)
      & n22 = sum(n3,n19)
      & n26 = sum(n25,n1)
      & n19 != n28
      & n22 = sum(n26,n27)
      & n9 != n17
      & n12 = sum(n13,n30)
      & n27 = sum(n4,n23)
      & n22 != n27
      & succ(n18) = n19
      & n12 = sum(n4,n8)
      & n30 = sum(n5,n25)
      & n30 = sum(n15,n15)
      & n0 = sum(n13,n18)
      & n2 != n11
      & n5 != n14
      & n16 != n29
      & n0 != n25
      & n26 = sum(n10,n16)
      & n25 != n28
      & n3 != n9
      & n20 != n26
      & n24 = sum(n12,n12)
      & n26 = sum(n8,n18)
      & n19 != n23
      & n20 != n24
      & n9 != n10
      & n24 = sum(n16,n8)
      & n19 = sum(n15,n4)
      & n8 = sum(n17,n22)
      & n8 != n26
      & n2 != n15
      & n27 = sum(n21,n6)
      & n12 = sum(n16,n27)
      & n8 = sum(n13,n26)
      & n6 != n19
      & n16 != n19
      & n6 = sum(n3,n3)
      & n28 != n29
      & n6 != n30
      & n0 != n10
      & n7 = sum(n11,n27)
      & n24 = sum(n10,n14)
      & n11 != n26
      & n11 = sum(n20,n22)
      & n4 = sum(n18,n17)
      & n25 != n30
      & n23 = sum(n4,n19)
      & n19 = sum(n28,n22)
      & n12 = sum(n26,n17)
      & n11 != n13
      & n13 != n29
      & n3 = sum(n3,n0)
      & n14 != n20
      & n5 = sum(n17,n19)
      & n10 = sum(n3,n7)
      & n6 != n23
      & n15 = sum(n6,n9)
      & n13 = sum(n6,n7)
      & n6 = sum(n14,n23)
      & n16 = sum(n28,n19)
      & n5 = sum(n28,n8)
      & succ(n10) = n11
      & n10 = sum(n21,n20)
      & n0 != n14
      & n2 = sum(n1,n1)
      & n18 != n25
      & n19 = sum(n30,n20)
      & n20 = sum(n20,n0)
      & ( n1 = X1
        | n29 = X1
        | n2 = X1
        | n14 = X1
        | n18 = X1
        | n16 = X1
        | n5 = X1
        | n27 = X1
        | n28 = X1
        | n10 = X1
        | n3 = X1
        | n0 = X1
        | n24 = X1
        | n17 = X1
        | n15 = X1
        | n9 = X1
        | n26 = X1
        | n13 = X1
        | n12 = X1
        | n20 = X1
        | n7 = X1
        | n4 = X1
        | n11 = X1
        | n23 = X1
        | n22 = X1
        | n25 = X1
        | n30 = X1
        | n21 = X1
        | n19 = X1
        | n6 = X1
        | n8 = X1 )
      & succ(n28) = n29
      & n6 = sum(n9,n28)
      & n4 != n20
      & n14 != n28
      & n9 = sum(n4,n5)
      & n22 = sum(n8,n14)
      & n5 != n25
      & n24 = sum(n1,n23)
      & n27 = sum(n1,n26)
      & n8 = sum(n5,n3)
      & n30 = sum(n26,n4)
      & n7 = sum(n8,n30)
      & n24 = sum(n30,n25)
      & n2 = sum(n25,n8)
      & n13 = sum(n24,n20)
      & n9 = sum(n27,n13)
      & n0 = sum(n23,n8)
      & n13 = pred(n14)
      & n18 = pred(n19)
      & n0 = sum(n7,n24)
      & n28 = sum(n1,n27)
      & n12 != n23
      & n3 != n5
      & n8 != n13
      & n25 = sum(n19,n6)
      & n8 = sum(n9,n30)
      & n24 = sum(n27,n28)
      & n18 = sum(n17,n1)
      & n6 = sum(n18,n19)
      & n0 = sum(n1,n30)
      & n17 = sum(n12,n5)
      & n23 = sum(n29,n25)
      & n10 != n25
      & n23 = sum(n2,n21)
      & n2 != n22
      & succ(n23) = n24
      & n9 != n21
      & n6 != n13
      & n13 != n18
      & n12 = sum(n19,n24)
      & n0 != n27
      & n7 = pred(n8)
      & n20 = sum(n13,n7)
      & n13 = sum(n23,n21)
      & n1 != n27
      & n16 != n24
      & n16 = sum(n6,n10)
      & n4 != n11
      & n27 = sum(n3,n24)
      & n18 = sum(n6,n12)
      & n6 = sum(n5,n1)
      & n3 = sum(n29,n5)
      & n3 = sum(n4,n30)
      & n6 != n22
      & n6 = sum(n10,n27)
      & n3 != n21
      & n16 != n26
      & n8 = sum(n16,n23)
      & succ(n6) = n7
      & n16 = sum(n14,n2)
      & n4 != n15
      & n12 != n18
      & n15 = sum(n0,n15)
      & n16 = sum(n29,n18)
      & n28 = sum(n22,n6)
      & n3 != n27
      & n29 = sum(n30,n30)
      & n18 = sum(n0,n18)
      & n1 = sum(n13,n19)
      & n6 = sum(n11,n26)
      & n7 = sum(n22,n16)
      & n3 = sum(n20,n14)
      & n21 = sum(n14,n7)
      & n27 = pred(n28)
      & n15 = sum(n25,n21)
      & n18 != n26
      & n2 != n7
      & n17 != n18
      & n8 != n20
      & n17 != n28
      & n26 = sum(n30,n27)
      & n4 = sum(n14,n21)
      & n17 = sum(n6,n11)
      & n5 != n28
      & n12 != n30
      & n28 = sum(n18,n10)
      & n22 = sum(n7,n15)
      & n6 = sum(n27,n10)
      & n16 = pred(n17)
      & n20 != n28
      & n3 = sum(n22,n12)
      & n10 = sum(n14,n27)
      & n10 != n13
      & n10 != n28
      & n25 = sum(n5,n20)
      & n11 != n15
      & n8 = sum(n10,n29)
      & n1 = sum(n23,n9)
      & n10 = sum(n4,n6)
      & n20 = sum(n12,n8)
      & n1 != n22
      & n12 != n29
      & n15 != n21
      & n13 != n26
      & n7 != n20
      & n16 != n30
      & n3 = sum(n24,n10)
      & n29 = sum(n25,n4)
      & n25 = sum(n11,n14)
      & n1 = sum(n5,n27)
      & n2 = sum(n29,n4)
      & n18 = sum(n22,n27)
      & n3 = sum(n2,n1)
      & n1 != n14
      & n8 = sum(n29,n10)
      & n13 != n21
      & n13 != n22
      & n14 != n16
      & n28 = pred(n29)
      & n4 = sum(n11,n24)
      & n4 = sum(n3,n1)
      & n9 = sum(n26,n14)
      & n21 = sum(n16,n5)
      & n5 = sum(n8,n28)
      & n18 = sum(n8,n10)
      & n3 = sum(n0,n3)
      & n3 = sum(n23,n11)
      & n9 != n15
      & n17 = sum(n25,n23)
      & n11 = sum(n10,n1)
      & n17 != n23
      & n14 = sum(n22,n23)
      & n12 = sum(n28,n15)
      & n23 = sum(n15,n8)
      & n5 != n23
      & n20 = sum(n4,n16)
      & n2 = sum(n28,n5)
      & n27 = sum(n16,n11)
      & n20 = sum(n28,n23)
      & n28 = sum(n2,n26)
      & n23 = sum(n5,n18)
      & n18 = sum(n25,n24)
      & n12 = sum(n24,n19)
      & n1 = sum(n6,n26)
      & n13 = sum(n0,n13)
      & n21 = pred(n22)
      & n12 = sum(n8,n4)
      & n2 != n14
      & n6 != n8
      & n17 = sum(n7,n10)
      & n15 != n20
      & n0 = sum(n29,n2)
      & n3 != n6
      & n4 = sum(n1,n3)
      & n11 = sum(n13,n29)
      & n23 = sum(n0,n23)
      & n17 = sum(n8,n9)
      & n0 != n29
      & n26 = sum(n9,n17)
      & n24 = sum(n8,n16)
      & n8 != n30
      & n0 != n26
      & succ(n24) = n25
      & n18 != n28
      & n2 != n13
      & n13 = sum(n19,n25)
      & n20 = sum(n3,n17)
      & n0 = sum(n24,n7)
      & n19 = sum(n12,n7)
      & n12 = sum(n3,n9)
      & n4 = sum(n19,n16)
      & n25 = sum(n10,n15)
      & n5 = sum(n30,n6)
      & n4 != n23
      & n11 = sum(n4,n7)
      & n5 != n26
      & n7 = sum(n1,n6)
      & n24 = sum(n3,n21)
      & n8 != n21
      & n19 = sum(n10,n9)
      & n25 = sum(n26,n30)
      & n13 = sum(n1,n12)
      & n16 = sum(n4,n12)
      & n8 = sum(n18,n21)
      & n16 != n27
      & n25 = sum(n0,n25)
      & n26 != n28
      & n5 = sum(n10,n26)
      & n17 = sum(n14,n3)
      & n27 = sum(n26,n1)
      & n9 != n19
      & n19 = sum(n21,n29)
      & n3 != n29
      & n21 = sum(n29,n23)
      & n25 = sum(n25,n0)
      & n3 = sum(n25,n9)
      & n19 != n29
      & n8 != n27
      & n28 = sum(n11,n17)
      & n25 = sum(n3,n22)
      & n9 = sum(n18,n22)
      & n5 = sum(n24,n12)
      & n7 = sum(n2,n5)
      & n13 = sum(n20,n24)
      & n13 = sum(n10,n3)
      & n20 != n25
      & n3 = sum(n15,n19)
      & n17 = sum(n10,n7)
      & n27 = sum(n13,n14)
      & succ(n13) = n14
      & n10 = sum(n28,n13)
      & n4 != n24
      & n29 = sum(n0,n29)
      & n30 = sum(n7,n23)
      & n8 = sum(n21,n18)
      & n3 != n16
      & n16 = sum(n5,n11)
      & n1 != n7
      & n20 = sum(n19,n1)
      & n8 != n14
      & n26 = sum(n21,n5)
      & n11 = sum(n14,n28)
      & n24 = sum(n13,n11)
      & n21 = sum(n17,n4)
      & n9 = sum(n14,n26)
      & n5 = sum(n11,n25)
      & n16 = sum(n15,n1)
      & n16 = sum(n13,n3)
      & n14 != n15
      & n4 = sum(n7,n28)
      & n15 = sum(n8,n7)
      & n24 = sum(n21,n3)
      & n27 = sum(n19,n8)
      & n16 = sum(n3,n13)
      & n12 != n14
      & n10 != n19
      & n9 != n25
      & n21 != n29
      & n7 = sum(n19,n19)
      & n3 = sum(n18,n16)
      & n1 = sum(n3,n29)
      & n14 != n30
      & n1 != n10
      & n17 = sum(n22,n26)
      & n18 != n30
      & n9 = sum(n3,n6)
      & n7 = sum(n4,n3)
      & succ(n15) = n16
      & n16 = sum(n21,n26)
      & n13 = sum(n12,n1)
      & n24 != n26
      & n12 != n20
      & n20 = sum(n10,n10)
      & n19 = sum(n25,n25)
      & n2 = sum(n2,n0)
      & n19 = sum(n1,n18)
      & n0 = sum(n10,n21)
      & n5 = sum(n0,n5)
      & n14 = sum(n10,n4)
      & n26 = sum(n6,n20)
      & n27 != n30
      & n4 = sum(n15,n20)
      & n14 = sum(n13,n1)
      & n2 != n12
      & n27 = sum(n11,n16)
      & n8 = sum(n1,n7)
      & n15 != n22
      & n0 != n23
      & n10 = sum(n13,n28)
      & n2 != n28
      & n13 != n28
      & n12 = sum(n15,n28)
      & n25 != n29
      & succ(n12) = n13
      & n20 = sum(n23,n28)
      & n6 != n17
      & n8 = sum(n15,n24)
      & n2 != n21
      & n17 = sum(n16,n1)
      & n5 = sum(n26,n10)
      & n15 = sum(n3,n12)
      & n21 = sum(n11,n10)
      & n17 = sum(n27,n21)
      & n8 = sum(n20,n19)
      & n15 != n17
      & n16 = sum(n0,n16)
      & n5 = sum(n13,n23)
      & n0 = sum(n15,n16)
      & n13 = sum(n18,n26)
      & n7 = sum(n3,n4)
      & n12 = sum(n20,n23)
      & n23 = sum(n18,n5)
      & n29 = sum(n23,n6)
      & n2 = sum(n16,n17)
      & n11 = sum(n21,n21)
      & n26 = sum(n24,n2)
      & n16 = sum(n10,n6)
      & n20 = sum(n11,n9)
      & n0 != n9
      & n13 != n16
      & n28 = sum(n13,n15)
      & n23 != n24
      & n14 = sum(n7,n7)
      & n29 = sum(n24,n5)
      & n17 = sum(n24,n24)
      & n25 = sum(n29,n27)
      & n2 = sum(n20,n13)
      & n0 = sum(n6,n25)
      & n0 = sum(n27,n4)
      & n1 = sum(n18,n14)
      & n5 != n21
      & n4 != n27
      & n28 = sum(n16,n12)
      & n22 = sum(n13,n9)
      & n17 = sum(n30,n18)
      & n29 = sum(n5,n24)
      & n18 = sum(n26,n23)
      & n9 != n14
      & n3 != n10
      & n2 = sum(n27,n6)
      & n7 = sum(n29,n9)
      & n23 = sum(n8,n15)
      & n15 = sum(n4,n11)
      & n22 = sum(n9,n13)
      & n5 = sum(n22,n14)
      & n25 = sum(n22,n3)
      & succ(n27) = n28
      & n8 = sum(n28,n11)
      & n1 = sum(n20,n12)
      & n23 = sum(n11,n12)
      & n14 = sum(n17,n28)
      & n9 != n26
      & n18 != n24
      & n11 = sum(n11,n0)
      & n25 != n27
      & n21 = sum(n26,n26)
      & n21 = sum(n3,n18)
      & n6 != n29
      & n14 = sum(n29,n16)
      & n2 != n6
      & n12 != n28
      & n22 != n29
      & n26 = sum(n12,n14)
      & n10 = sum(n19,n22)
      & n24 = sum(n22,n2)
      & n0 = sum(n17,n14)
      & n0 = sum(n8,n23)
      & n27 = sum(n17,n10)
      & n14 = sum(n2,n12)
      & n3 != n4
      & n7 = sum(n12,n26)
      & n27 = sum(n25,n2)
      & n13 = sum(n4,n9)
      & n15 = sum(n24,n22)
      & n11 = sum(n7,n4)
      & n5 = sum(n29,n7)
      & n12 = sum(n2,n10)
      & n6 = sum(n1,n5)
      & n18 = sum(n30,n19)
      & n11 = sum(n27,n15)
      & n20 = sum(n8,n12)
      & n0 != n3
      & n17 != n25
      & n7 != n16
      & n11 = sum(n17,n25)
      & n16 != n28
      & n24 = sum(n0,n24)
      & n16 = sum(n18,n29)
      & n29 = sum(n2,n27)
      & n0 = pred(n1)
      & n20 = sum(n26,n25)
      & n13 = sum(n3,n10)
      & n26 != n30
      & n9 = sum(n23,n17)
      & n5 = pred(n6)
      & n6 = sum(n13,n24)
      & n1 != n13
      & n29 = sum(n21,n8)
      & n19 = sum(n20,n30)
      & n1 = sum(n17,n15)
      & n17 = sum(n13,n4)
      & n15 = sum(n22,n24)
      & n8 = sum(n8,n0)
      & n26 = pred(n27)
      & n17 = sum(n2,n15)
      & n5 != n16
      & n5 = sum(n3,n2)
      & n0 = sum(n28,n3)
      & n16 = sum(n24,n23)
      & n0 != n4
      & n15 = sum(n12,n3)
      & n28 = sum(n6,n22)
      & n2 = sum(n30,n3)
      & n24 = sum(n29,n26)
      & n25 = sum(n6,n19)
      & succ(n11) = n12
      & n7 = sum(n27,n11)
      & n4 = sum(n23,n12)
      & n20 != n23
      & n1 != n18
      & n6 = sum(n30,n7)
      & n28 = sum(n12,n16)
      & n10 = sum(n23,n18)
      & n6 != n9
      & n28 = sum(n10,n18)
      & n23 != n25
      & n9 != n20
      & n3 = sum(n6,n28)
      & n8 != n22
      & n23 = sum(n9,n14)
      & n8 = sum(n26,n13)
      & n3 != n12
      & n4 != n21
      & n1 != n4
      & n0 = sum(n18,n13)
      & n0 != n17
      & n3 = sum(n7,n27)
      & n26 = sum(n17,n9)
      & n4 != n30
      & n5 != n29
      & n15 != n16
      & n18 = sum(n12,n6)
      & n21 = sum(n9,n12)
      & n30 = sum(n19,n11)
      & n15 = sum(n26,n20)
      & n10 = sum(n1,n9)
      & n2 = sum(n8,n25)
      & n19 = pred(n20)
      & n20 = sum(n27,n24)
      & n4 != n8
      & n3 = sum(n17,n17)
      & n29 = sum(n8,n21)
      & n10 != n24
      & n21 != n30
      & n1 != n17
      & n3 != n22
      & n13 != n19
      & n7 = sum(n5,n2)
      & n21 != n28
      & n30 = sum(n16,n14)
      & n4 = sum(n26,n9)
      & n4 = sum(n13,n22)
      & n14 != n23
      & n11 = sum(n15,n27)
      & n7 != n10
      & n11 = sum(n22,n20)
      & n16 = sum(n25,n22)
      & succ(n29) = n30
      & n3 = sum(n19,n15)
      & n28 = sum(n17,n11)
      & n20 = sum(n24,n27)
      & n20 = sum(n22,n29)
      & n3 = sum(n30,n4)
      & n22 = sum(n4,n18)
      & n4 != n25
      & n11 = sum(n30,n12)
      & n11 = sum(n2,n9)
      & n15 = pred(n16)
      & n3 != n18
      & n6 != n24
      & n14 = sum(n14,n0)
      & n8 = sum(n2,n6)
      & n27 = sum(n10,n17)
      & n7 != n30
      & n9 = sum(n8,n1)
      & n21 = sum(n13,n8)
      & n15 = sum(n5,n10)
      & n0 = sum(n20,n11)
      & succ(n22) = n23
      & n16 = sum(n17,n30)
      & n15 != n28
      & n19 != n26
      & n5 = sum(n5,n0)
      & n28 = sum(n4,n24)
      & n3 = sum(n26,n8)
      & n14 != n18
      & n11 = sum(n23,n19)
      & n16 = sum(n27,n20)
      & n30 = sum(n3,n27)
      & n25 = sum(n23,n2)
      & n30 = sum(n14,n16)
      & n20 = sum(n17,n3)
      & n30 = sum(n12,n18)
      & n22 = sum(n12,n10)
      & n4 != n28
      & n21 != n26
      & n0 = sum(n4,n27)
      & n29 = pred(n30)
      & n23 = sum(n10,n13)
      & n28 = sum(n20,n8)
      & n26 = sum(n20,n6)
      & n22 = sum(n27,n26)
      & n10 = sum(n11,n30)
      & n0 = sum(n26,n5)
      & n9 != n12
      & n3 != n14
      & n3 = sum(n13,n21)
      & n11 = sum(n9,n2)
      & n4 = sum(n29,n6)
      & n23 = sum(n17,n6)
      & succ(n1) = n2
      & n6 = sum(n20,n17)
      & n13 = sum(n5,n8)
      & n3 != n15
      & n15 != n23
      & n12 = sum(n29,n14)
      & n7 = sum(n17,n21)
      & n19 != n25
      & n21 = sum(n5,n16)
      & n19 = sum(n8,n11)
      & n5 != n20
      & n14 = sum(n18,n27)
      & n2 = sum(n24,n9)
      & n4 = sum(n4,n0)
      & n8 != n24
      & n29 = sum(n10,n19)
      & n11 != n14
      & n3 = pred(n4)
      & n2 = sum(n14,n19)
      & n25 = sum(n27,n29)
      & n0 = sum(n0,n0)
      & n22 = sum(n6,n16)
      & n8 = sum(n3,n5)
      & n18 = sum(n27,n22)
      & n28 = sum(n27,n1)
      & n8 != n29
      & n12 != n16
      & n2 != n25
      & n4 = sum(n8,n27)
      & n9 != n13
      & n1 != n29
      & n4 = sum(n12,n23)
      & n5 != n9
      & n17 = sum(n28,n20)
      & n22 = sum(n2,n20)
      & n7 != n14
      & n19 = sum(n6,n13)
      & n21 = sum(n8,n13)
      & n10 != n12
      & n13 = sum(n8,n5)
      & n12 = sum(n27,n16)
      & n27 != n28
      & n28 = sum(n26,n2)
      & n5 != n30
      & n26 = sum(n26,n0)
      & n8 = sum(n22,n17)
      & n10 = sum(n25,n16)
      & n7 = sum(n25,n13)
      & n6 = pred(n7)
      & n14 = sum(n25,n20)
      & n12 = sum(n14,n29)
      & n11 = sum(n18,n24)
      & n14 = sum(n1,n13)
      & n7 = sum(n20,n18)
      & n4 != n18
      & n11 = sum(n26,n16)
      & n16 = sum(n20,n27)
      & n22 = sum(n11,n11)
      & n14 != n19
      & n8 = sum(n11,n28)
      & n25 = pred(n26)
      & n11 != n22
      & n2 = sum(n15,n18)
      & n20 = sum(n15,n5)
      & n11 = sum(n3,n8)
      & n5 != n24
      & n0 != n18
      & n0 = sum(n12,n19)
      & n22 = sum(n25,n28)
      & n11 != n30
      & n23 = sum(n14,n9)
      & n28 = sum(n14,n14)
      & n9 = pred(n10)
      & n7 != n23
      & n2 != n4
      & n16 = sum(n30,n17)
      & n2 = sum(n26,n7)
      & n15 != n25
      & n1 = sum(n25,n7)
      & n16 = sum(n26,n21)
      & n25 = sum(n9,n16)
      & n30 = sum(n2,n28)
      & n20 = sum(n25,n26)
      & n6 = sum(n22,n15)
      & n8 = sum(n0,n8)
      & n11 = sum(n1,n10)
      & n30 = sum(n29,n1)
      & n17 != n20
      & n3 != n8
      & n24 = sum(n11,n13)
      & n17 = sum(n19,n29)
      & n21 = sum(n28,n24)
      & n4 = sum(n27,n8)
      & n0 != n11
      & n9 = sum(n5,n4)
      & n0 != n21
      & n7 = sum(n24,n14)
      & n5 = sum(n18,n18)
      & n17 = sum(n15,n2)
      & succ(n2) = n3
      & n2 = sum(n7,n26)
      & n26 = sum(n0,n26)
      & n7 != n18
      & n9 != n29
      & n12 != n19
      & n15 = sum(n14,n1)
      & n1 = sum(n10,n22)
      & n3 = sum(n14,n20)
      & n8 = sum(n4,n4)
      & n12 = sum(n17,n26)
      & succ(n25) = n26
      & n18 = sum(n13,n5)
      & n18 != n20
      & n28 = sum(n9,n19)
      & n1 = sum(n12,n20)
      & n2 = sum(n10,n23)
      & n18 = sum(n21,n28)
      & n10 = sum(n30,n11)
      & n13 = sum(n14,n30)
      & n9 = sum(n22,n18)
      & n29 = sum(n15,n14)
      & n5 != n19
      & n8 = sum(n7,n1)
      & n2 = sum(n23,n10)
      & n11 = sum(n6,n5)
      & n28 = sum(n21,n7)
      & n5 != n7
      & n10 != n30
      & n13 != n27
      & n15 != n30
      & n14 != n27
      & n20 = sum(n0,n20)
      & n9 = sum(n10,n30)
      & n5 != n22
      & n19 != n27
      & n17 = sum(n5,n12)
      & n4 = sum(n30,n5)
      & n7 != n28
      & n30 = sum(n30,n0)
      & n18 = sum(n16,n2)
      & n23 = sum(n6,n17)
      & n5 != n13
      & n13 != n20
      & n1 != n8
      & n5 = sum(n9,n27)
      & n21 = sum(n25,n27)
      & n21 = sum(n7,n14)
      & succ(n17) = n18
      & n14 = sum(n28,n17)
      & n20 = sum(n14,n6)
      & n20 = sum(n1,n19)
      & n22 != n25
      & n4 != n26
      & n0 != n16
      & n16 = sum(n7,n9)
      & n14 != n17
      & n25 = sum(n17,n8)
      & n23 = sum(n30,n24)
      & succ(n9) = n10
      & n27 = sum(n24,n3)
      & n4 = sum(n9,n26)
      & n25 = sum(n15,n10)
      & n8 != n9
      & n11 != n19
      & n7 != n8
      & n13 != n24
      & n1 != n19
      & n1 != n25
      & n15 = sum(n19,n27)
      & n4 != n29
      & n30 = sum(n10,n20)
      & n24 = sum(n18,n6)
      & n11 = sum(n8,n3)
      & n1 = sum(n11,n21)
      & n22 = sum(n19,n3)
      & n27 = sum(n22,n5)
      & n20 != n29
      & n1 = sum(n2,n30)
      & n11 != n12
      & n15 != n18
      & n18 = sum(n28,n21)
      & n0 = sum(n14,n17)
      & n5 = sum(n21,n15)
      & n3 != n23
      & n10 = sum(n24,n17)
      & n26 = sum(n14,n12)
      & n13 = sum(n7,n6)
      & n6 != n16
      & n16 = sum(n11,n5)
      & n7 = sum(n28,n10)
      & n9 = sum(n11,n29)
      & n19 = sum(n5,n14)
      & n1 = sum(n30,n2)
      & n20 != n30
      & n27 = sum(n20,n7)
      & n3 = sum(n8,n26)
      & n7 != n17
      & n10 = sum(n9,n1)
      & n19 = sum(n4,n15)
      & n8 = sum(n6,n2)
      & n8 != n18
      & n7 = sum(n26,n12)
      & n15 = sum(n16,n30)
      & n24 != n25
      & n5 = sum(n4,n1)
      & n3 != n17
      & n8 = sum(n12,n27)
      & n14 = sum(n4,n10)
      & n10 != n21
      & n2 = sum(n0,n2)
      & n24 = sum(n19,n5)
      & succ(n4) = n5
      & n6 != n14
      & n23 = sum(n22,n1)
      & n16 = sum(n19,n28)
      & n6 != n11
      & succ(n8) = n9
      & n7 != n29
      & n7 != n26
      & n15 != n29
      & n1 != n24
      & n13 != n23
      & n27 = sum(n9,n18)
      & n1 = sum(n4,n28)
      & n4 = sum(n17,n18)
      & n29 = sum(n4,n25)
      & n19 = sum(n9,n10)
      & n7 != n21
      & n22 = sum(n0,n22)
      & n14 != n29
      & n6 = sum(n28,n9)
      & n6 != n26
      & n30 = sum(n6,n24)
      & n15 = sum(n27,n19)
      & n24 = sum(n20,n4)
      & n10 != n17
      & n23 = sum(n12,n11)
      & n7 != n22
      & n10 = sum(n18,n23)
      & n9 = sum(n16,n24)
      & n3 != n30
      & n9 = sum(n17,n23)
      & n17 != n22
      & n12 = sum(n11,n1)
      & n18 = sum(n9,n9)
      & n28 != n30
      & n3 != n25
      & n14 = sum(n26,n19)
      & n21 != n23
      & n5 != n6
      & n4 = sum(n22,n13)
      & n18 = sum(n18,n0)
      & n20 = sum(n29,n22)
      & n9 = sum(n29,n11)
      & n19 != n30
      & n6 = sum(n12,n25)
      & n1 = sum(n24,n8)
      & n18 != n27
      & n2 = sum(n12,n21)
      & n24 = sum(n24,n0)
      & n19 != n22
      & n2 = sum(n6,n27)
      & n22 = sum(n17,n5)
      & n11 != n25
      & n6 != n12
      & n12 = sum(n0,n12)
      & n19 != n20
      & n8 = sum(n30,n9)
      & n26 = sum(n27,n30)
      & n9 != n24
      & n1 = sum(n15,n17)
      & n27 = sum(n7,n20)
      & n25 = sum(n1,n24)
      & n2 != n3
      & n4 = sum(n6,n29)
      & n1 != n23
      & n14 != n26
      & n13 = sum(n15,n29)
      & n10 != n23
      & n17 = sum(n26,n22)
      & n18 = sum(n29,n20)
      & n26 = sum(n3,n23)
      & n17 = sum(n21,n27)
      & n18 = sum(n5,n13)
      & n8 != n19
      & n5 != n11
      & n15 = sum(n7,n8)
      & n0 != n8
      & n16 = sum(n9,n7)
      & n24 != n30
      & n13 = sum(n29,n15)
      & n23 = sum(n13,n10)
      & n9 = sum(n24,n16)
      & n15 = sum(n30,n16)
      & n19 = sum(n18,n1)
      & n21 = sum(n1,n20)
      & n27 = sum(n30,n28)
      & n3 != n26
      & n0 != n20
      & n20 = sum(n6,n14)
      & n22 = sum(n10,n12)
      & n23 = sum(n21,n2)
      & n6 = sum(n26,n11)
      & n3 != n11
      & n16 != n21
      & n15 = sum(n17,n29)
      & n13 = sum(n22,n22)
      & n7 = sum(n0,n7)
      & n11 = sum(n0,n11)
      & n2 != n27
      & n5 = sum(n1,n4)
      & n7 = sum(n15,n23)
      & n8 != n10
      & n22 != n30
      & n6 = sum(n15,n22)
      & succ(n14) = n15
      & n17 != n26
      & n14 = pred(n15)
      & n17 != n27
      & succ(n0) = n1
      & n3 = sum(n27,n7)
      & n13 != n14
      & n8 = sum(n14,n25)
      & n15 != n26
      & n12 = sum(n9,n3)
      & n12 != n22
      & n26 = sum(n19,n7)
      & n2 != n24
      & n14 = sum(n20,n25)
      & n10 != n20
      & n26 = sum(n28,n29)
      & n14 = sum(n12,n2)
      & n6 != n20
      & n16 != n17
      & n29 = sum(n20,n9)
      & n11 = sum(n24,n18)
      & n16 = sum(n16,n0)
      & n22 = sum(n22,n0)
      & n1 != n15
      & n21 = sum(n19,n2)
      & n10 != n22
      & n6 != n15
      & n18 = sum(n24,n25)
      & n15 = sum(n21,n25)
      & n8 != n15
      & n27 = sum(n28,n30)
      & n22 = sum(n18,n4)
      & n23 = sum(n7,n16)
      & n30 = sum(n21,n9)
      & n10 = sum(n17,n24)
      & n3 != n13
      & n15 = sum(n20,n26)
      & n12 != n17
      & n25 = sum(n20,n5)
      & n8 != n17
      & n1 = sum(n0,n1)
      & n9 = sum(n28,n12)
      & n29 = sum(n13,n16)
      & n13 = sum(n27,n17)
      & n0 != n15
      & n17 != n30
      & n30 = sum(n20,n10)
      & n1 != n3
      & n29 = sum(n11,n18)
      & n1 != n28
      & n16 = sum(n22,n25)
      & n15 = sum(n13,n2)
      & n2 != n29
      & n18 != n22
      & n1 = sum(n14,n18)
      & n28 = sum(n8,n20)
      & n2 != n9
      & n1 != n16
      & n15 = sum(n29,n17)
      & n12 = sum(n5,n7)
      & n24 = sum(n7,n17)
      & n27 = sum(n18,n9)
      & n11 != n18
      & n13 = sum(n2,n11)
      & n13 = sum(n16,n28)
      & n17 = sum(n4,n13)
      & n2 = sum(n9,n24)
      & n27 = sum(n23,n4)
      & n10 = sum(n26,n15)
      & n14 = sum(n15,n30)
      & n10 = sum(n16,n25)
      & n0 != n12
      & n24 = sum(n14,n10)
      & n2 = sum(n5,n28)
      & n13 = sum(n21,n23)
      & n16 != n23
      & n26 != n27
      & n4 = sum(n16,n19)
      & n22 = sum(n16,n6)
      & n28 = sum(n30,n29)
      & n3 = sum(n5,n29)
      & n6 = sum(n2,n4)
      & n5 = sum(n15,n21)
      & n6 = sum(n19,n18)
      & n5 = sum(n23,n13)
      & n6 != n28
      & n22 = sum(n5,n17)
      & n0 = sum(n16,n15)
      & n29 = sum(n18,n11)
      & n17 = sum(n29,n19)
      & n23 = sum(n23,n0)
      & n0 != n6
      & n9 = sum(n20,n20)
      & n14 != n21
      & n6 != n10
      & n22 = sum(n28,n25)
      & n17 = sum(n0,n17)
      & n1 = sum(n16,n16)
      & n8 = pred(n9)
      & n18 != n19
      & n3 = sum(n1,n2)
      & n22 != n26
      & n12 = sum(n10,n2)
      & n2 = sum(n13,n20)
      & n6 = sum(n16,n21)
      & n17 != n24
      & n6 = sum(n8,n29)
      & n9 = sum(n7,n2)
      & n17 = sum(n18,n30)
      & n20 = sum(n7,n13)
      & n28 = sum(n23,n5)
      & n25 = sum(n21,n4)
      & n20 = sum(n16,n4)
      & n6 = sum(n24,n13)
      & n12 = sum(n23,n20)
      & n12 = sum(n22,n21)
      & n4 = sum(n24,n11)
      & n24 != n29
      & n9 = sum(n21,n19)
      & n7 != n19
      & n20 != n27
      & n1 = sum(n8,n24)
      & n7 != n11
      & n10 = sum(n10,n0)
      & n25 = sum(n13,n12)
      & n5 != n10
      & n16 = sum(n1,n15)
      & n8 != n25
      & n12 != n26
      & n27 = sum(n12,n15)
      & n25 = sum(n14,n11)
      & n23 != n26
      & n9 != n28
      & n19 = sum(n2,n17)
      & n10 = sum(n7,n3)
      & n23 != n28
      & n6 != n27
      & n30 = sum(n18,n12)
      & n1 = sum(n9,n23)
      & n8 = sum(n27,n12)
      & n1 != n5
      & n17 = sum(n23,n25)
      & n28 = sum(n3,n25)
      & n14 != n25
      & n13 != n30
      & n2 != n17
      & n17 != n21
      & n30 = sum(n17,n13)
      & n1 != n2
      & n21 = sum(n12,n9)
      & n9 = sum(n19,n21)
      & succ(n16) = n17
      & n2 = sum(n19,n14)
      & n14 = sum(n19,n26)
      & n3 = sum(n28,n6)
      & n12 = sum(n12,n0)
      & n11 != n27
      & n10 = sum(n12,n29)
      & n26 = sum(n7,n19)
      & n5 = sum(n20,n16)
      & n5 != n12
      & n14 = sum(n27,n18)
      & n14 = sum(n23,n22)
      & n29 = sum(n9,n20)
      & n4 != n13
      & n2 != n30
      & n1 != n21
      & n19 = sum(n14,n5)
      & n3 != n7
      & n12 != n21
      & n7 = sum(n21,n17)
      & n13 = sum(n17,n27)
      & n11 != n21
      & n8 != n16
      & n11 != n28
      & n19 = sum(n24,n26)
      & n0 != n30
      & n22 = sum(n15,n7)
      & n9 != n22
      & n19 != n24
      & succ(n21) = n22
      & n8 != n28
      & n15 = sum(n9,n6)
      & n4 = sum(n25,n10)
      & n6 = sum(n6,n0)
      & n6 != n18
      & n8 != n11
      & n4 = pred(n5)
      & n15 != n27
      & n9 != n18
      & n10 != n26
      & n14 = sum(n21,n24)
      & n25 = sum(n16,n9)
      & n6 = sum(n17,n20)
      & n14 != n22
      & n29 = sum(n16,n13)
      & n5 != n8
      & n1 = sum(n29,n3)
      & n4 != n16
      & n18 = sum(n7,n11)
      & n18 = sum(n2,n16)
      & n12 != n24
      & n0 != n19
      & n26 = sum(n29,n28)
      & n21 = sum(n21,n0)
      & n29 = sum(n14,n15)
      & n27 = sum(n29,n29)
      & n26 = sum(n16,n10)
      & n5 != n17
      & n16 = sum(n12,n4)
      & n18 = sum(n15,n3)
      & n10 != n16
      & n0 != n7
      & n8 != n12
      & n3 = sum(n11,n23)
      & n27 != n29
      & n16 = sum(n23,n24)
      & n16 = sum(n2,n14)
      & n24 = sum(n9,n15)
      & n27 = sum(n0,n27)
      & n0 = sum(n11,n20)
      & n11 != n16
      & n10 = sum(n27,n14)
      & n7 != n12
      & n28 = sum(n29,n30)
      & n29 = sum(n17,n12)
      & n22 = sum(n20,n2)
      & n0 = succ(n30)
      & succ(n20) = n21
      & n4 = sum(n20,n15)
      & n29 = sum(n29,n0)
      & n18 != n21
      & n25 = sum(n18,n7)
      & n29 = sum(n19,n10)
      & n22 = sum(n21,n1)
      & n7 = sum(n7,n0)
      & n18 = sum(n19,n30)
      & n19 = sum(n26,n24)
      & n10 = sum(n2,n8)
      & succ(n7) = n8
      & n13 = sum(n13,n0)
      & n10 = sum(n0,n10)
      & n9 = sum(n30,n10)
      & n16 != n20
      & n17 = sum(n3,n14)
      & n30 = sum(n1,n29)
      & n7 != n25
      & n23 != n29
      & n10 = sum(n29,n12)
      & n12 = sum(n21,n22)
      & n20 = sum(n18,n2)
      & n2 = pred(n3)
      & n26 = sum(n18,n8)
      & n1 = sum(n22,n10)
      & n12 = sum(n25,n18)
      & succ(n26) = n27
      & n24 = sum(n2,n22)
      & n10 = pred(n11)
      & succ(n5) = n6
      & n0 = sum(n2,n29)
      & n3 != n28
      & n21 = sum(n22,n30)
      & n5 != n15
      & n7 != n15
      & n0 != n5
      & n23 = sum(n25,n29)
      & n10 = sum(n22,n19)
      & n2 = sum(n18,n15)
      & n1 != n6
      & n9 = sum(n0,n9)
      & n1 != n11
      & n4 != n5
      & n21 != n25
      & n7 = sum(n13,n25)
      & n30 = sum(n0,n30)
      & n6 = sum(n7,n30)
      & n15 = sum(n18,n28)
      & n25 = sum(n28,n28)
      & n18 = sum(n11,n7)
      & n11 != n20
      & n30 = sum(n4,n26)
      & n29 = sum(n12,n17)
      & n14 = sum(n6,n8)
      & n10 != n11
      & n6 = sum(n21,n16)
      & n2 != n26
      & n23 = sum(n1,n22)
      & n14 = sum(n5,n9)
      & n22 = sum(n14,n8)
      & n19 != n21
      & n26 = sum(n5,n21)
      & n11 = pred(n12)
      & n30 = sum(n8,n22)
      & n11 != n24
      & n1 != n9
      & n18 = sum(n20,n29)
      & n11 = sum(n16,n26)
      & n19 = sum(n17,n2)
      & n13 = sum(n9,n4)
      & n8 != n23
      & n27 = sum(n27,n0)
      & n25 != n26
      & n0 = sum(n5,n26)
      & n7 = sum(n23,n15)
      & succ(n19) = n20
      & n24 != n27
      & n28 = sum(n25,n3)
      & n3 = sum(n21,n13)
      & n20 = sum(n2,n18)
      & n9 != n23
      & n23 = sum(n16,n7)
      & n18 = sum(n10,n8)
      & n1 != n26
      & n10 = sum(n6,n4)
      & n9 = sum(n15,n25)
      & n21 != n27
      & n22 = sum(n30,n23)
      & n3 = sum(n9,n25)
      & n0 = sum(n3,n28)
      & n25 = sum(n7,n18)
      & n28 = sum(n7,n21)
      & n25 = sum(n2,n23)
      & n27 = sum(n6,n21)
      & n4 != n12
      & n5 = sum(n25,n11)
      & n1 = sum(n21,n11)
      & n2 = sum(n4,n29)
      & n9 = sum(n6,n3)
      & n28 = sum(n15,n13)
      & n18 = sum(n14,n4)
      & n4 != n22
      & n9 = sum(n12,n28)
      & n22 != n24
      & n20 = sum(n5,n15)
      & n26 != n29
      & n21 = sum(n15,n6)
      & n23 = sum(n3,n20)
      & n0 = sum(n9,n22)
      & n20 != n21
      & n7 = sum(n6,n1)
      & n14 = sum(n3,n11)
      & n13 != n17
      & n19 = sum(n22,n28)
      & n27 = sum(n5,n22)
      & n17 = sum(n1,n16)
      & n3 != n24
      & n9 != n11
      & n21 = sum(n18,n3)
      & n0 != n1
      & n19 = sum(n19,n0)
      & n17 = sum(n17,n0)
      & n14 = sum(n0,n14)
      & n29 = sum(n26,n3)
      & n22 = sum(n29,n24)
      & n25 = sum(n12,n13)
      & n4 != n14
      & n2 != n16
      & n9 = sum(n9,n0)
      & n27 = sum(n8,n19)
      & n17 = pred(n18)
      & n20 = sum(n9,n11)
      & n17 = sum(n11,n6)
      & n24 = sum(n6,n18)
      & n8 = sum(n25,n14)
      & n12 = sum(n1,n11)
      & n0 != n2
      & n18 = sum(n23,n26)
      & n0 != n28
      & n10 != n15
      & n19 = sum(n13,n6)
      & n1 = sum(n27,n5)
      & n7 != n27
      & n4 != n9
      & n26 = sum(n11,n15)
      & n17 != n29
      & n19 = sum(n29,n21)
      & n21 = sum(n6,n15)
      & n22 != n28
      & n10 = sum(n15,n26)
      & n30 = sum(n22,n8)
      & n19 = sum(n23,n27)
      & n24 = sum(n17,n7)
      & n3 != n19
      & n1 = sum(n28,n4)
      & n29 = sum(n7,n22)
      & n12 != n27
      & n4 = sum(n21,n14)
      & n5 = sum(n19,n17)
      & n21 != n24
      & n5 = sum(n27,n9)
      & n21 = sum(n30,n22)
      & n2 != n8
      & n23 = sum(n24,n30)
      & n21 = sum(n0,n21)
      & n20 = sum(n30,n21)
      & n29 = sum(n22,n7)
      & n15 = sum(n23,n23)
      & n14 = sum(n16,n29)
      & n21 = sum(n4,n17)
      & n23 = sum(n19,n4)
      & n3 = sum(n16,n18)
      & n5 = sum(n14,n22)
      & n5 = sum(n7,n29)
      & n30 = sum(n25,n5)
      & n7 = sum(n16,n22)
      & n15 = sum(n28,n18)
      & n20 != n22
      & n8 = sum(n23,n16)
      & n2 != n19
      & n12 = sum(n18,n25)
      & n4 = sum(n0,n4)
      & n30 = sum(n27,n3)
      & n18 != n29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f9185,plain,
    spl2_1550,
    inference(avatar_split_clause,[],[f452,f9182]) ).

fof(f9182,plain,
    ( spl2_1550
  <=> n18 = sum(n29,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1550])]) ).

fof(f452,plain,
    n18 = sum(n29,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f9180,plain,
    spl2_1549,
    inference(avatar_split_clause,[],[f810,f9177]) ).

fof(f9177,plain,
    ( spl2_1549
  <=> n21 = sum(n9,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1549])]) ).

fof(f810,plain,
    n21 = sum(n9,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f9175,plain,
    spl2_1548,
    inference(avatar_split_clause,[],[f992,f9172]) ).

fof(f9172,plain,
    ( spl2_1548
  <=> n1 = sum(n3,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1548])]) ).

fof(f992,plain,
    n1 = sum(n3,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f9170,plain,
    ~ spl2_1547,
    inference(avatar_split_clause,[],[f248,f9167]) ).

fof(f9167,plain,
    ( spl2_1547
  <=> n12 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1547])]) ).

fof(f248,plain,
    n12 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f9165,plain,
    ~ spl2_1546,
    inference(avatar_split_clause,[],[f757,f9162]) ).

fof(f9162,plain,
    ( spl2_1546
  <=> n14 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1546])]) ).

fof(f757,plain,
    n14 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f9160,plain,
    spl2_1545,
    inference(avatar_split_clause,[],[f30,f9157]) ).

fof(f9157,plain,
    ( spl2_1545
  <=> n5 = sum(n19,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1545])]) ).

fof(f30,plain,
    n5 = sum(n19,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f9155,plain,
    spl2_1544,
    inference(avatar_split_clause,[],[f442,f9152]) ).

fof(f9152,plain,
    ( spl2_1544
  <=> n13 = sum(n29,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1544])]) ).

fof(f442,plain,
    n13 = sum(n29,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f9150,plain,
    spl2_1543,
    inference(avatar_split_clause,[],[f789,f9147]) ).

fof(f9147,plain,
    ( spl2_1543
  <=> n11 = sum(n15,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1543])]) ).

fof(f789,plain,
    n11 = sum(n15,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f9145,plain,
    ~ spl2_1542,
    inference(avatar_split_clause,[],[f581,f9142]) ).

fof(f9142,plain,
    ( spl2_1542
  <=> n22 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1542])]) ).

fof(f581,plain,
    n22 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f9140,plain,
    spl2_1541,
    inference(avatar_split_clause,[],[f185,f9137]) ).

fof(f9137,plain,
    ( spl2_1541
  <=> n25 = sum(n18,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1541])]) ).

fof(f185,plain,
    n25 = sum(n18,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f9135,plain,
    spl2_1540,
    inference(avatar_split_clause,[],[f474,f9132]) ).

fof(f9132,plain,
    ( spl2_1540
  <=> n2 = sum(n12,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1540])]) ).

fof(f474,plain,
    n2 = sum(n12,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f9130,plain,
    ~ spl2_1539,
    inference(avatar_split_clause,[],[f1323,f9127]) ).

fof(f9127,plain,
    ( spl2_1539
  <=> n10 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1539])]) ).

fof(f1323,plain,
    n10 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f9125,plain,
    ~ spl2_1538,
    inference(avatar_split_clause,[],[f1129,f9122]) ).

fof(f9122,plain,
    ( spl2_1538
  <=> n13 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1538])]) ).

fof(f1129,plain,
    n13 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f9120,plain,
    spl2_1537,
    inference(avatar_split_clause,[],[f427,f9117]) ).

fof(f9117,plain,
    ( spl2_1537
  <=> n15 = sum(n17,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1537])]) ).

fof(f427,plain,
    n15 = sum(n17,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f9115,plain,
    ~ spl2_1536,
    inference(avatar_split_clause,[],[f965,f9112]) ).

fof(f9112,plain,
    ( spl2_1536
  <=> n0 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1536])]) ).

fof(f965,plain,
    n0 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f9110,plain,
    spl2_1535,
    inference(avatar_split_clause,[],[f280,f9107]) ).

fof(f9107,plain,
    ( spl2_1535
  <=> n30 = sum(n18,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1535])]) ).

fof(f280,plain,
    n30 = sum(n18,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f9105,plain,
    spl2_1534,
    inference(avatar_split_clause,[],[f945,f9102]) ).

fof(f9102,plain,
    ( spl2_1534
  <=> n0 = sum(n15,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1534])]) ).

fof(f945,plain,
    n0 = sum(n15,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f9100,plain,
    spl2_1533,
    inference(avatar_split_clause,[],[f402,f9097]) ).

fof(f9097,plain,
    ( spl2_1533
  <=> n26 = sum(n28,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1533])]) ).

fof(f402,plain,
    n26 = sum(n28,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f9095,plain,
    ~ spl2_1532,
    inference(avatar_split_clause,[],[f155,f9092]) ).

fof(f9092,plain,
    ( spl2_1532
  <=> n5 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1532])]) ).

fof(f155,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f9090,plain,
    spl2_1531,
    inference(avatar_split_clause,[],[f504,f9087]) ).

fof(f9087,plain,
    ( spl2_1531
  <=> n22 = sum(n0,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1531])]) ).

fof(f504,plain,
    n22 = sum(n0,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f9085,plain,
    spl2_1530,
    inference(avatar_split_clause,[],[f96,f9082]) ).

fof(f9082,plain,
    ( spl2_1530
  <=> n25 = sum(n2,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1530])]) ).

fof(f96,plain,
    n25 = sum(n2,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f9080,plain,
    spl2_1529,
    inference(avatar_split_clause,[],[f1476,f9077]) ).

fof(f9077,plain,
    ( spl2_1529
  <=> n21 = sum(n24,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1529])]) ).

fof(f1476,plain,
    n21 = sum(n24,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f9075,plain,
    spl2_1528,
    inference(avatar_split_clause,[],[f687,f9072]) ).

fof(f9072,plain,
    ( spl2_1528
  <=> n8 = sum(n22,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1528])]) ).

fof(f687,plain,
    n8 = sum(n22,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f9070,plain,
    ~ spl2_1527,
    inference(avatar_split_clause,[],[f527,f9067]) ).

fof(f9067,plain,
    ( spl2_1527
  <=> n3 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1527])]) ).

fof(f527,plain,
    n3 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f9065,plain,
    spl2_1526,
    inference(avatar_split_clause,[],[f989,f9062]) ).

fof(f9062,plain,
    ( spl2_1526
  <=> n17 = sum(n22,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1526])]) ).

fof(f989,plain,
    n17 = sum(n22,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f9060,plain,
    spl2_1525,
    inference(avatar_split_clause,[],[f55,f9057]) ).

fof(f9057,plain,
    ( spl2_1525
  <=> n24 = sum(n6,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1525])]) ).

fof(f55,plain,
    n24 = sum(n6,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f9055,plain,
    spl2_1524,
    inference(avatar_split_clause,[],[f336,f9052]) ).

fof(f9052,plain,
    ( spl2_1524
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1524])]) ).

fof(f336,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f9050,plain,
    spl2_1523,
    inference(avatar_split_clause,[],[f121,f9047]) ).

fof(f9047,plain,
    ( spl2_1523
  <=> n11 = sum(n16,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1523])]) ).

fof(f121,plain,
    n11 = sum(n16,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f9045,plain,
    ~ spl2_1522,
    inference(avatar_split_clause,[],[f419,f9042]) ).

fof(f9042,plain,
    ( spl2_1522
  <=> n22 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1522])]) ).

fof(f419,plain,
    n22 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f9040,plain,
    spl2_1521,
    inference(avatar_split_clause,[],[f363,f9037]) ).

fof(f9037,plain,
    ( spl2_1521
  <=> n1 = sum(n14,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1521])]) ).

fof(f363,plain,
    n1 = sum(n14,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f9035,plain,
    spl2_1520,
    inference(avatar_split_clause,[],[f1121,f9032]) ).

fof(f9032,plain,
    ( spl2_1520
  <=> n18 = sum(n22,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1520])]) ).

fof(f1121,plain,
    n18 = sum(n22,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f9030,plain,
    spl2_1519,
    inference(avatar_split_clause,[],[f859,f9027]) ).

fof(f9027,plain,
    ( spl2_1519
  <=> n9 = sum(n23,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1519])]) ).

fof(f859,plain,
    n9 = sum(n23,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f9025,plain,
    ~ spl2_1518,
    inference(avatar_split_clause,[],[f1435,f9022]) ).

fof(f9022,plain,
    ( spl2_1518
  <=> n2 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1518])]) ).

fof(f1435,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f4]) ).

fof(f9020,plain,
    spl2_1517,
    inference(avatar_split_clause,[],[f1270,f9017]) ).

fof(f9017,plain,
    ( spl2_1517
  <=> n27 = sum(n21,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1517])]) ).

fof(f1270,plain,
    n27 = sum(n21,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f9015,plain,
    spl2_1516,
    inference(avatar_split_clause,[],[f661,f9012]) ).

fof(f9012,plain,
    ( spl2_1516
  <=> n28 = sum(n14,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1516])]) ).

fof(f661,plain,
    n28 = sum(n14,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f9010,plain,
    spl2_1515,
    inference(avatar_split_clause,[],[f1058,f9007]) ).

fof(f9007,plain,
    ( spl2_1515
  <=> n11 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1515])]) ).

fof(f1058,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f9005,plain,
    ~ spl2_1514,
    inference(avatar_split_clause,[],[f454,f9002]) ).

fof(f9002,plain,
    ( spl2_1514
  <=> n10 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1514])]) ).

fof(f454,plain,
    n10 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f9000,plain,
    ~ spl2_1513,
    inference(avatar_split_clause,[],[f988,f8997]) ).

fof(f8997,plain,
    ( spl2_1513
  <=> n18 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1513])]) ).

fof(f988,plain,
    n18 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f8995,plain,
    ~ spl2_1512,
    inference(avatar_split_clause,[],[f667,f8992]) ).

fof(f8992,plain,
    ( spl2_1512
  <=> n5 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1512])]) ).

fof(f667,plain,
    n5 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f8990,plain,
    ~ spl2_1511,
    inference(avatar_split_clause,[],[f722,f8987]) ).

fof(f8987,plain,
    ( spl2_1511
  <=> n5 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1511])]) ).

fof(f722,plain,
    n5 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f8985,plain,
    spl2_1510,
    inference(avatar_split_clause,[],[f578,f8982]) ).

fof(f8982,plain,
    ( spl2_1510
  <=> n16 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1510])]) ).

fof(f578,plain,
    n16 = sum(n7,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f8980,plain,
    spl2_1509,
    inference(avatar_split_clause,[],[f865,f8977]) ).

fof(f8977,plain,
    ( spl2_1509
  <=> n16 = sum(n18,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1509])]) ).

fof(f865,plain,
    n16 = sum(n18,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f8975,plain,
    spl2_1508,
    inference(avatar_split_clause,[],[f1163,f8972]) ).

fof(f8972,plain,
    ( spl2_1508
  <=> n6 = sum(n11,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1508])]) ).

fof(f1163,plain,
    n6 = sum(n11,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f8970,plain,
    ~ spl2_1507,
    inference(avatar_split_clause,[],[f536,f8967]) ).

fof(f8967,plain,
    ( spl2_1507
  <=> n7 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1507])]) ).

fof(f536,plain,
    n7 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f8965,plain,
    spl2_1506,
    inference(avatar_split_clause,[],[f613,f8962]) ).

fof(f8962,plain,
    ( spl2_1506
  <=> n9 = sum(n22,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1506])]) ).

fof(f613,plain,
    n9 = sum(n22,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f8960,plain,
    spl2_1505,
    inference(avatar_split_clause,[],[f211,f8957]) ).

fof(f8957,plain,
    ( spl2_1505
  <=> n27 = sum(n29,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1505])]) ).

fof(f211,plain,
    n27 = sum(n29,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f8955,plain,
    ~ spl2_1504,
    inference(avatar_split_clause,[],[f9,f8952]) ).

fof(f8952,plain,
    ( spl2_1504
  <=> n2 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1504])]) ).

fof(f9,plain,
    n2 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f8950,plain,
    spl2_1503,
    inference(avatar_split_clause,[],[f413,f8947]) ).

fof(f8947,plain,
    ( spl2_1503
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1503])]) ).

fof(f413,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f4]) ).

fof(f8945,plain,
    ~ spl2_1502,
    inference(avatar_split_clause,[],[f655,f8942]) ).

fof(f8942,plain,
    ( spl2_1502
  <=> n15 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1502])]) ).

fof(f655,plain,
    n15 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f8940,plain,
    ~ spl2_1501,
    inference(avatar_split_clause,[],[f1434,f8937]) ).

fof(f8937,plain,
    ( spl2_1501
  <=> n11 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1501])]) ).

fof(f1434,plain,
    n11 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f8935,plain,
    spl2_1500,
    inference(avatar_split_clause,[],[f212,f8932]) ).

fof(f8932,plain,
    ( spl2_1500
  <=> n29 = sum(n14,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1500])]) ).

fof(f212,plain,
    n29 = sum(n14,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f8930,plain,
    spl2_1499,
    inference(avatar_split_clause,[],[f866,f8927]) ).

fof(f8927,plain,
    ( spl2_1499
  <=> n24 = sum(n0,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1499])]) ).

fof(f866,plain,
    n24 = sum(n0,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f8925,plain,
    ~ spl2_1498,
    inference(avatar_split_clause,[],[f1278,f8922]) ).

fof(f8922,plain,
    ( spl2_1498
  <=> n19 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1498])]) ).

fof(f1278,plain,
    n19 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f8920,plain,
    ~ spl2_1497,
    inference(avatar_split_clause,[],[f83,f8917]) ).

fof(f8917,plain,
    ( spl2_1497
  <=> n26 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1497])]) ).

fof(f83,plain,
    n26 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f8915,plain,
    spl2_1496,
    inference(avatar_split_clause,[],[f902,f8912]) ).

fof(f8912,plain,
    ( spl2_1496
  <=> n14 = sum(n17,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1496])]) ).

fof(f902,plain,
    n14 = sum(n17,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f8910,plain,
    spl2_1495,
    inference(avatar_split_clause,[],[f431,f8907]) ).

fof(f8907,plain,
    ( spl2_1495
  <=> n23 = sum(n21,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1495])]) ).

fof(f431,plain,
    n23 = sum(n21,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f8905,plain,
    ~ spl2_1494,
    inference(avatar_split_clause,[],[f459,f8902]) ).

fof(f8902,plain,
    ( spl2_1494
  <=> n2 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1494])]) ).

fof(f459,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f4]) ).

fof(f8900,plain,
    ~ spl2_1493,
    inference(avatar_split_clause,[],[f1194,f8897]) ).

fof(f8897,plain,
    ( spl2_1493
  <=> n13 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1493])]) ).

fof(f1194,plain,
    n13 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f8895,plain,
    ~ spl2_1492,
    inference(avatar_split_clause,[],[f1046,f8892]) ).

fof(f8892,plain,
    ( spl2_1492
  <=> n26 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1492])]) ).

fof(f1046,plain,
    n26 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f8890,plain,
    spl2_1491,
    inference(avatar_split_clause,[],[f862,f8887]) ).

fof(f8887,plain,
    ( spl2_1491
  <=> n20 = sum(n26,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1491])]) ).

fof(f862,plain,
    n20 = sum(n26,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f8885,plain,
    spl2_1490,
    inference(avatar_split_clause,[],[f1026,f8882]) ).

fof(f8882,plain,
    ( spl2_1490
  <=> n3 = sum(n15,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1490])]) ).

fof(f1026,plain,
    n3 = sum(n15,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f8880,plain,
    spl2_1489,
    inference(avatar_split_clause,[],[f1010,f8877]) ).

fof(f8877,plain,
    ( spl2_1489
  <=> n24 = sum(n13,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1489])]) ).

fof(f1010,plain,
    n24 = sum(n13,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f8875,plain,
    ~ spl2_1488,
    inference(avatar_split_clause,[],[f1035,f8872]) ).

fof(f8872,plain,
    ( spl2_1488
  <=> n8 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1488])]) ).

fof(f1035,plain,
    n8 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f8870,plain,
    ~ spl2_1487,
    inference(avatar_split_clause,[],[f316,f8867]) ).

fof(f8867,plain,
    ( spl2_1487
  <=> n22 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1487])]) ).

fof(f316,plain,
    n22 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f8865,plain,
    spl2_1486,
    inference(avatar_split_clause,[],[f1470,f8862]) ).

fof(f8862,plain,
    ( spl2_1486
  <=> n26 = sum(n1,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1486])]) ).

fof(f1470,plain,
    n26 = sum(n1,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f8860,plain,
    spl2_1485,
    inference(avatar_split_clause,[],[f1181,f8857]) ).

fof(f8857,plain,
    ( spl2_1485
  <=> n3 = sum(n29,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1485])]) ).

fof(f1181,plain,
    n3 = sum(n29,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f8855,plain,
    spl2_1484,
    inference(avatar_split_clause,[],[f935,f8852]) ).

fof(f8852,plain,
    ( spl2_1484
  <=> n20 = sum(n11,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1484])]) ).

fof(f935,plain,
    n20 = sum(n11,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f8850,plain,
    spl2_1483,
    inference(avatar_split_clause,[],[f299,f8847]) ).

fof(f8847,plain,
    ( spl2_1483
  <=> n9 = sum(n21,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1483])]) ).

fof(f299,plain,
    n9 = sum(n21,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f8845,plain,
    ~ spl2_1482,
    inference(avatar_split_clause,[],[f238,f8842]) ).

fof(f8842,plain,
    ( spl2_1482
  <=> n19 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1482])]) ).

fof(f238,plain,
    n19 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f8840,plain,
    ~ spl2_1481,
    inference(avatar_split_clause,[],[f1259,f8837]) ).

fof(f8837,plain,
    ( spl2_1481
  <=> n11 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1481])]) ).

fof(f1259,plain,
    n11 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f8835,plain,
    ~ spl2_1480,
    inference(avatar_split_clause,[],[f116,f8832]) ).

fof(f8832,plain,
    ( spl2_1480
  <=> n25 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1480])]) ).

fof(f116,plain,
    n25 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f8830,plain,
    spl2_1479,
    inference(avatar_split_clause,[],[f350,f8827]) ).

fof(f8827,plain,
    ( spl2_1479
  <=> n27 = sum(n23,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1479])]) ).

fof(f350,plain,
    n27 = sum(n23,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f8825,plain,
    ~ spl2_1478,
    inference(avatar_split_clause,[],[f219,f8822]) ).

fof(f8822,plain,
    ( spl2_1478
  <=> n4 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1478])]) ).

fof(f219,plain,
    n4 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f8820,plain,
    spl2_1477,
    inference(avatar_split_clause,[],[f1101,f8817]) ).

fof(f8817,plain,
    ( spl2_1477
  <=> n14 = sum(n22,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1477])]) ).

fof(f1101,plain,
    n14 = sum(n22,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f8815,plain,
    spl2_1476,
    inference(avatar_split_clause,[],[f334,f8812]) ).

fof(f8812,plain,
    ( spl2_1476
  <=> n6 = sum(n19,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1476])]) ).

fof(f334,plain,
    n6 = sum(n19,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f8810,plain,
    spl2_1475,
    inference(avatar_split_clause,[],[f1067,f8807]) ).

fof(f8807,plain,
    ( spl2_1475
  <=> n13 = sum(n19,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1475])]) ).

fof(f1067,plain,
    n13 = sum(n19,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f8805,plain,
    ~ spl2_1474,
    inference(avatar_split_clause,[],[f737,f8802]) ).

fof(f8802,plain,
    ( spl2_1474
  <=> n3 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1474])]) ).

fof(f737,plain,
    n3 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f8800,plain,
    spl2_1473,
    inference(avatar_split_clause,[],[f711,f8797]) ).

fof(f8797,plain,
    ( spl2_1473
  <=> n22 = sum(n6,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1473])]) ).

fof(f711,plain,
    n22 = sum(n6,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f8795,plain,
    ~ spl2_1472,
    inference(avatar_split_clause,[],[f1330,f8792]) ).

fof(f8792,plain,
    ( spl2_1472
  <=> n4 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1472])]) ).

fof(f1330,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f4]) ).

fof(f8790,plain,
    spl2_1471,
    inference(avatar_split_clause,[],[f107,f8787]) ).

fof(f8787,plain,
    ( spl2_1471
  <=> n23 = sum(n16,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1471])]) ).

fof(f107,plain,
    n23 = sum(n16,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f8785,plain,
    spl2_1470,
    inference(avatar_split_clause,[],[f97,f8782]) ).

fof(f8782,plain,
    ( spl2_1470
  <=> n28 = sum(n7,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1470])]) ).

fof(f97,plain,
    n28 = sum(n7,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f8780,plain,
    spl2_1469,
    inference(avatar_split_clause,[],[f17,f8777]) ).

fof(f8777,plain,
    ( spl2_1469
  <=> n3 = sum(n16,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1469])]) ).

fof(f17,plain,
    n3 = sum(n16,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f8775,plain,
    ~ spl2_1468,
    inference(avatar_split_clause,[],[f146,f8772]) ).

fof(f8772,plain,
    ( spl2_1468
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1468])]) ).

fof(f146,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f4]) ).

fof(f8770,plain,
    spl2_1467,
    inference(avatar_split_clause,[],[f39,f8767]) ).

fof(f8767,plain,
    ( spl2_1467
  <=> n10 = sum(n15,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1467])]) ).

fof(f39,plain,
    n10 = sum(n15,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f8765,plain,
    spl2_1466,
    inference(avatar_split_clause,[],[f1180,f8762]) ).

fof(f8762,plain,
    ( spl2_1466
  <=> n3 = sum(n4,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1466])]) ).

fof(f1180,plain,
    n3 = sum(n4,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f8760,plain,
    spl2_1465,
    inference(avatar_split_clause,[],[f65,f8757]) ).

fof(f8757,plain,
    ( spl2_1465
  <=> n29 = sum(n26,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1465])]) ).

fof(f65,plain,
    n29 = sum(n26,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f8755,plain,
    spl2_1464,
    inference(avatar_split_clause,[],[f1222,f8752]) ).

fof(f8752,plain,
    ( spl2_1464
  <=> n30 = sum(n26,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1464])]) ).

fof(f1222,plain,
    n30 = sum(n26,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f8750,plain,
    spl2_1463,
    inference(avatar_split_clause,[],[f1081,f8747]) ).

fof(f8747,plain,
    ( spl2_1463
  <=> n0 = sum(n29,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1463])]) ).

fof(f1081,plain,
    n0 = sum(n29,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f8745,plain,
    spl2_1462,
    inference(avatar_split_clause,[],[f477,f8742]) ).

fof(f8742,plain,
    ( spl2_1462
  <=> n6 = sum(n12,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1462])]) ).

fof(f477,plain,
    n6 = sum(n12,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f8740,plain,
    spl2_1461,
    inference(avatar_split_clause,[],[f66,f8737]) ).

fof(f8737,plain,
    ( spl2_1461
  <=> n14 = sum(n0,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1461])]) ).

fof(f66,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f8735,plain,
    spl2_1460,
    inference(avatar_split_clause,[],[f1190,f8732]) ).

fof(f8732,plain,
    ( spl2_1460
  <=> n20 = sum(n13,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1460])]) ).

fof(f1190,plain,
    n20 = sum(n13,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f8730,plain,
    spl2_1459,
    inference(avatar_split_clause,[],[f103,f8727]) ).

fof(f8727,plain,
    ( spl2_1459
  <=> n9 = sum(n15,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1459])]) ).

fof(f103,plain,
    n9 = sum(n15,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f8725,plain,
    spl2_1458,
    inference(avatar_split_clause,[],[f618,f8722]) ).

fof(f8722,plain,
    ( spl2_1458
  <=> n1 = sum(n12,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1458])]) ).

fof(f618,plain,
    n1 = sum(n12,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f8720,plain,
    spl2_1457,
    inference(avatar_split_clause,[],[f465,f8717]) ).

fof(f8717,plain,
    ( spl2_1457
  <=> n8 = sum(n30,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1457])]) ).

fof(f465,plain,
    n8 = sum(n30,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f8715,plain,
    spl2_1456,
    inference(avatar_split_clause,[],[f1146,f8712]) ).

fof(f8712,plain,
    ( spl2_1456
  <=> n22 = sum(n7,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1456])]) ).

fof(f1146,plain,
    n22 = sum(n7,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f8710,plain,
    ~ spl2_1455,
    inference(avatar_split_clause,[],[f416,f8707]) ).

fof(f8707,plain,
    ( spl2_1455
  <=> n17 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1455])]) ).

fof(f416,plain,
    n17 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f8705,plain,
    ~ spl2_1454,
    inference(avatar_split_clause,[],[f289,f8702]) ).

fof(f8702,plain,
    ( spl2_1454
  <=> n12 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1454])]) ).

fof(f289,plain,
    n12 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f8700,plain,
    spl2_1453,
    inference(avatar_split_clause,[],[f260,f8697]) ).

fof(f8697,plain,
    ( spl2_1453
  <=> n10 = sum(n12,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1453])]) ).

fof(f260,plain,
    n10 = sum(n12,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f8695,plain,
    ~ spl2_1452,
    inference(avatar_split_clause,[],[f703,f8692]) ).

fof(f8692,plain,
    ( spl2_1452
  <=> n9 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1452])]) ).

fof(f703,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f8690,plain,
    spl2_1451,
    inference(avatar_split_clause,[],[f642,f8687]) ).

fof(f8687,plain,
    ( spl2_1451
  <=> n17 = sum(n19,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1451])]) ).

fof(f642,plain,
    n17 = sum(n19,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f8685,plain,
    ~ spl2_1450,
    inference(avatar_split_clause,[],[f1130,f8682]) ).

fof(f8682,plain,
    ( spl2_1450
  <=> n15 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1450])]) ).

fof(f1130,plain,
    n15 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f8680,plain,
    spl2_1449,
    inference(avatar_split_clause,[],[f1289,f8677]) ).

fof(f8677,plain,
    ( spl2_1449
  <=> n0 = sum(n13,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1449])]) ).

fof(f1289,plain,
    n0 = sum(n13,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f8675,plain,
    spl2_1448,
    inference(avatar_split_clause,[],[f777,f8672]) ).

fof(f8672,plain,
    ( spl2_1448
  <=> n11 = sum(n30,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1448])]) ).

fof(f777,plain,
    n11 = sum(n30,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f8670,plain,
    spl2_1447,
    inference(avatar_split_clause,[],[f1295,f8667]) ).

fof(f8667,plain,
    ( spl2_1447
  <=> n27 = sum(n4,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1447])]) ).

fof(f1295,plain,
    n27 = sum(n4,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f8665,plain,
    ~ spl2_1446,
    inference(avatar_split_clause,[],[f216,f8662]) ).

fof(f8662,plain,
    ( spl2_1446
  <=> n12 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1446])]) ).

fof(f216,plain,
    n12 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f8660,plain,
    spl2_1445,
    inference(avatar_split_clause,[],[f195,f8657]) ).

fof(f8657,plain,
    ( spl2_1445
  <=> n10 = sum(n27,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1445])]) ).

fof(f195,plain,
    n10 = sum(n27,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f8655,plain,
    ~ spl2_1444,
    inference(avatar_split_clause,[],[f1443,f8652]) ).

fof(f8652,plain,
    ( spl2_1444
  <=> n7 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1444])]) ).

fof(f1443,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f8650,plain,
    ~ spl2_1443,
    inference(avatar_split_clause,[],[f380,f8647]) ).

fof(f8647,plain,
    ( spl2_1443
  <=> n12 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1443])]) ).

fof(f380,plain,
    n12 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f8645,plain,
    spl2_1442,
    inference(avatar_split_clause,[],[f320,f8642]) ).

fof(f8642,plain,
    ( spl2_1442
  <=> n1 = sum(n16,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1442])]) ).

fof(f320,plain,
    n1 = sum(n16,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f8640,plain,
    spl2_1441,
    inference(avatar_split_clause,[],[f525,f8637]) ).

fof(f8637,plain,
    ( spl2_1441
  <=> n14 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1441])]) ).

fof(f525,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f8635,plain,
    spl2_1440,
    inference(avatar_split_clause,[],[f786,f8632]) ).

fof(f8632,plain,
    ( spl2_1440
  <=> n16 = sum(n25,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1440])]) ).

fof(f786,plain,
    n16 = sum(n25,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f8630,plain,
    ~ spl2_1439,
    inference(avatar_split_clause,[],[f599,f8627]) ).

fof(f8627,plain,
    ( spl2_1439
  <=> n5 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1439])]) ).

fof(f599,plain,
    n5 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f8625,plain,
    spl2_1438,
    inference(avatar_split_clause,[],[f890,f8622]) ).

fof(f8622,plain,
    ( spl2_1438
  <=> n26 = sum(n12,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1438])]) ).

fof(f890,plain,
    n26 = sum(n12,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f8620,plain,
    ~ spl2_1437,
    inference(avatar_split_clause,[],[f860,f8617]) ).

fof(f8617,plain,
    ( spl2_1437
  <=> n26 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1437])]) ).

fof(f860,plain,
    n26 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f8615,plain,
    spl2_1436,
    inference(avatar_split_clause,[],[f126,f8612]) ).

fof(f8612,plain,
    ( spl2_1436
  <=> n11 = pred(n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1436])]) ).

fof(f126,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f8610,plain,
    ~ spl2_1435,
    inference(avatar_split_clause,[],[f1131,f8607]) ).

fof(f8607,plain,
    ( spl2_1435
  <=> n12 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1435])]) ).

fof(f1131,plain,
    n12 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f8605,plain,
    spl2_1434,
    inference(avatar_split_clause,[],[f311,f8602]) ).

fof(f8602,plain,
    ( spl2_1434
  <=> n6 = sum(n8,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1434])]) ).

fof(f311,plain,
    n6 = sum(n8,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f8600,plain,
    ~ spl2_1433,
    inference(avatar_split_clause,[],[f718,f8597]) ).

fof(f8597,plain,
    ( spl2_1433
  <=> n8 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1433])]) ).

fof(f718,plain,
    n8 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f8595,plain,
    ~ spl2_1432,
    inference(avatar_split_clause,[],[f1069,f8592]) ).

fof(f8592,plain,
    ( spl2_1432
  <=> n18 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1432])]) ).

fof(f1069,plain,
    n18 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f8590,plain,
    ~ spl2_1431,
    inference(avatar_split_clause,[],[f405,f8587]) ).

fof(f8587,plain,
    ( spl2_1431
  <=> n2 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1431])]) ).

fof(f405,plain,
    n2 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f8585,plain,
    spl2_1430,
    inference(avatar_split_clause,[],[f175,f8582]) ).

fof(f8582,plain,
    ( spl2_1430
  <=> n9 = sum(n30,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1430])]) ).

fof(f175,plain,
    n9 = sum(n30,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f8580,plain,
    spl2_1429,
    inference(avatar_split_clause,[],[f1451,f8577]) ).

fof(f8577,plain,
    ( spl2_1429
  <=> n25 = sum(n4,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1429])]) ).

fof(f1451,plain,
    n25 = sum(n4,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f8575,plain,
    ~ spl2_1428,
    inference(avatar_split_clause,[],[f1157,f8572]) ).

fof(f8572,plain,
    ( spl2_1428
  <=> n18 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1428])]) ).

fof(f1157,plain,
    n18 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f8570,plain,
    spl2_1427,
    inference(avatar_split_clause,[],[f159,f8567]) ).

fof(f8567,plain,
    ( spl2_1427
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1427])]) ).

fof(f159,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f4]) ).

fof(f8565,plain,
    ~ spl2_1426,
    inference(avatar_split_clause,[],[f5,f8562]) ).

fof(f8562,plain,
    ( spl2_1426
  <=> n18 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1426])]) ).

fof(f5,plain,
    n18 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f8560,plain,
    ~ spl2_1425,
    inference(avatar_split_clause,[],[f824,f8557]) ).

fof(f8557,plain,
    ( spl2_1425
  <=> n8 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1425])]) ).

fof(f824,plain,
    n8 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f8555,plain,
    spl2_1424,
    inference(avatar_split_clause,[],[f692,f8552]) ).

fof(f8552,plain,
    ( spl2_1424
  <=> n12 = sum(n27,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1424])]) ).

fof(f692,plain,
    n12 = sum(n27,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f8550,plain,
    spl2_1423,
    inference(avatar_split_clause,[],[f140,f8547]) ).

fof(f8547,plain,
    ( spl2_1423
  <=> n25 = sum(n28,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1423])]) ).

fof(f140,plain,
    n25 = sum(n28,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f8545,plain,
    ~ spl2_1422,
    inference(avatar_split_clause,[],[f778,f8542]) ).

fof(f8542,plain,
    ( spl2_1422
  <=> n4 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1422])]) ).

fof(f778,plain,
    n4 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f8540,plain,
    ~ spl2_1421,
    inference(avatar_split_clause,[],[f1421,f8537]) ).

fof(f8537,plain,
    ( spl2_1421
  <=> n11 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1421])]) ).

fof(f1421,plain,
    n11 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f8535,plain,
    spl2_1420,
    inference(avatar_split_clause,[],[f1325,f8532]) ).

fof(f8532,plain,
    ( spl2_1420
  <=> n14 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1420])]) ).

fof(f1325,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f8530,plain,
    ~ spl2_1419,
    inference(avatar_split_clause,[],[f1264,f8527]) ).

fof(f8527,plain,
    ( spl2_1419
  <=> n28 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1419])]) ).

fof(f1264,plain,
    n28 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f8525,plain,
    spl2_1418,
    inference(avatar_split_clause,[],[f835,f8522]) ).

fof(f8522,plain,
    ( spl2_1418
  <=> n4 = sum(n23,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1418])]) ).

fof(f835,plain,
    n4 = sum(n23,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f8520,plain,
    spl2_1417,
    inference(avatar_split_clause,[],[f8,f8517]) ).

fof(f8517,plain,
    ( spl2_1417
  <=> n12 = sum(n18,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1417])]) ).

fof(f8,plain,
    n12 = sum(n18,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f8515,plain,
    spl2_1416,
    inference(avatar_split_clause,[],[f564,f8512]) ).

fof(f8512,plain,
    ( spl2_1416
  <=> n15 = sum(n19,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1416])]) ).

fof(f564,plain,
    n15 = sum(n19,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f8510,plain,
    ~ spl2_1415,
    inference(avatar_split_clause,[],[f1374,f8507]) ).

fof(f8507,plain,
    ( spl2_1415
  <=> n29 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1415])]) ).

fof(f1374,plain,
    n29 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f8505,plain,
    spl2_1414,
    inference(avatar_split_clause,[],[f1393,f8502]) ).

fof(f8502,plain,
    ( spl2_1414
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1414])]) ).

fof(f1393,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f8500,plain,
    spl2_1413,
    inference(avatar_split_clause,[],[f541,f8497]) ).

fof(f8497,plain,
    ( spl2_1413
  <=> n19 = sum(n5,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1413])]) ).

fof(f541,plain,
    n19 = sum(n5,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f8495,plain,
    spl2_1412,
    inference(avatar_split_clause,[],[f927,f8492]) ).

fof(f8492,plain,
    ( spl2_1412
  <=> n25 = sum(n29,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1412])]) ).

fof(f927,plain,
    n25 = sum(n29,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f8490,plain,
    spl2_1411,
    inference(avatar_split_clause,[],[f649,f8487]) ).

fof(f8487,plain,
    ( spl2_1411
  <=> n6 = sum(n22,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1411])]) ).

fof(f649,plain,
    n6 = sum(n22,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f8485,plain,
    spl2_1410,
    inference(avatar_split_clause,[],[f715,f8482]) ).

fof(f8482,plain,
    ( spl2_1410
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1410])]) ).

fof(f715,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f8480,plain,
    ~ spl2_1409,
    inference(avatar_split_clause,[],[f1210,f8477]) ).

fof(f8477,plain,
    ( spl2_1409
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1409])]) ).

fof(f1210,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f4]) ).

fof(f8475,plain,
    spl2_1408,
    inference(avatar_split_clause,[],[f643,f8472]) ).

fof(f8472,plain,
    ( spl2_1408
  <=> n24 = sum(n11,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1408])]) ).

fof(f643,plain,
    n24 = sum(n11,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f8470,plain,
    spl2_1407,
    inference(avatar_split_clause,[],[f426,f8467]) ).

fof(f8467,plain,
    ( spl2_1407
  <=> n13 = sum(n22,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1407])]) ).

fof(f426,plain,
    n13 = sum(n22,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f8465,plain,
    spl2_1406,
    inference(avatar_split_clause,[],[f162,f8462]) ).

fof(f8462,plain,
    ( spl2_1406
  <=> succ(n26) = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1406])]) ).

fof(f162,plain,
    succ(n26) = n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f8460,plain,
    spl2_1405,
    inference(avatar_split_clause,[],[f1425,f8457]) ).

fof(f8457,plain,
    ( spl2_1405
  <=> n30 = sum(n24,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1405])]) ).

fof(f1425,plain,
    n30 = sum(n24,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f8455,plain,
    spl2_1404,
    inference(avatar_split_clause,[],[f267,f8452]) ).

fof(f8452,plain,
    ( spl2_1404
  <=> n9 = sum(n19,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1404])]) ).

fof(f267,plain,
    n9 = sum(n19,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f8450,plain,
    spl2_1403,
    inference(avatar_split_clause,[],[f912,f8447]) ).

fof(f8447,plain,
    ( spl2_1403
  <=> n7 = sum(n29,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1403])]) ).

fof(f912,plain,
    n7 = sum(n29,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f8445,plain,
    spl2_1402,
    inference(avatar_split_clause,[],[f596,f8442]) ).

fof(f8442,plain,
    ( spl2_1402
  <=> n4 = sum(n30,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1402])]) ).

fof(f596,plain,
    n4 = sum(n30,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f8440,plain,
    spl2_1401,
    inference(avatar_split_clause,[],[f172,f8437]) ).

fof(f8437,plain,
    ( spl2_1401
  <=> n30 = sum(n1,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1401])]) ).

fof(f172,plain,
    n30 = sum(n1,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f8435,plain,
    ~ spl2_1400,
    inference(avatar_split_clause,[],[f799,f8432]) ).

fof(f8432,plain,
    ( spl2_1400
  <=> n21 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1400])]) ).

fof(f799,plain,
    n21 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f8430,plain,
    spl2_1399,
    inference(avatar_split_clause,[],[f339,f8427]) ).

fof(f8427,plain,
    ( spl2_1399
  <=> n22 = sum(n16,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1399])]) ).

fof(f339,plain,
    n22 = sum(n16,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f8425,plain,
    spl2_1398,
    inference(avatar_split_clause,[],[f879,f8422]) ).

fof(f8422,plain,
    ( spl2_1398
  <=> n15 = sum(n24,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1398])]) ).

fof(f879,plain,
    n15 = sum(n24,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f8420,plain,
    spl2_1397,
    inference(avatar_split_clause,[],[f462,f8417]) ).

fof(f8417,plain,
    ( spl2_1397
  <=> n1 = sum(n15,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1397])]) ).

fof(f462,plain,
    n1 = sum(n15,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f8415,plain,
    ~ spl2_1396,
    inference(avatar_split_clause,[],[f892,f8412]) ).

fof(f8412,plain,
    ( spl2_1396
  <=> n12 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1396])]) ).

fof(f892,plain,
    n12 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f8410,plain,
    spl2_1395,
    inference(avatar_split_clause,[],[f1001,f8407]) ).

fof(f8407,plain,
    ( spl2_1395
  <=> n24 = sum(n21,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1395])]) ).

fof(f1001,plain,
    n24 = sum(n21,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f8405,plain,
    spl2_1394,
    inference(avatar_split_clause,[],[f330,f8402]) ).

fof(f8402,plain,
    ( spl2_1394
  <=> n0 = sum(n16,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1394])]) ).

fof(f330,plain,
    n0 = sum(n16,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f8400,plain,
    ~ spl2_1393,
    inference(avatar_split_clause,[],[f895,f8397]) ).

fof(f8397,plain,
    ( spl2_1393
  <=> n6 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1393])]) ).

fof(f895,plain,
    n6 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f8395,plain,
    spl2_1392,
    inference(avatar_split_clause,[],[f576,f8392]) ).

fof(f8392,plain,
    ( spl2_1392
  <=> n25 = sum(n17,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1392])]) ).

fof(f576,plain,
    n25 = sum(n17,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f8390,plain,
    spl2_1391,
    inference(avatar_split_clause,[],[f1108,f8387]) ).

fof(f8387,plain,
    ( spl2_1391
  <=> n18 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1391])]) ).

fof(f1108,plain,
    n18 = sum(n8,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f8385,plain,
    spl2_1390,
    inference(avatar_split_clause,[],[f710,f8382]) ).

fof(f8382,plain,
    ( spl2_1390
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1390])]) ).

fof(f710,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f8380,plain,
    ~ spl2_1389,
    inference(avatar_split_clause,[],[f728,f8377]) ).

fof(f8377,plain,
    ( spl2_1389
  <=> n15 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1389])]) ).

fof(f728,plain,
    n15 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f8375,plain,
    spl2_1388,
    inference(avatar_split_clause,[],[f910,f8372]) ).

fof(f8372,plain,
    ( spl2_1388
  <=> n15 = sum(n4,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1388])]) ).

fof(f910,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f8370,plain,
    ~ spl2_1387,
    inference(avatar_split_clause,[],[f1336,f8367]) ).

fof(f8367,plain,
    ( spl2_1387
  <=> n4 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1387])]) ).

fof(f1336,plain,
    n4 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f8365,plain,
    spl2_1386,
    inference(avatar_split_clause,[],[f801,f8362]) ).

fof(f8362,plain,
    ( spl2_1386
  <=> n29 = sum(n8,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1386])]) ).

fof(f801,plain,
    n29 = sum(n8,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f8360,plain,
    ~ spl2_1385,
    inference(avatar_split_clause,[],[f1188,f8357]) ).

fof(f8357,plain,
    ( spl2_1385
  <=> n1 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1385])]) ).

fof(f1188,plain,
    n1 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f8355,plain,
    ~ spl2_1384,
    inference(avatar_split_clause,[],[f365,f8352]) ).

fof(f8352,plain,
    ( spl2_1384
  <=> n2 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1384])]) ).

fof(f365,plain,
    n2 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f8350,plain,
    ~ spl2_1383,
    inference(avatar_split_clause,[],[f545,f8347]) ).

fof(f8347,plain,
    ( spl2_1383
  <=> n6 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1383])]) ).

fof(f545,plain,
    n6 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f8345,plain,
    spl2_1382,
    inference(avatar_split_clause,[],[f470,f8342]) ).

fof(f8342,plain,
    ( spl2_1382
  <=> n22 = sum(n17,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1382])]) ).

fof(f470,plain,
    n22 = sum(n17,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f8340,plain,
    spl2_1381,
    inference(avatar_split_clause,[],[f319,f8337]) ).

fof(f8337,plain,
    ( spl2_1381
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1381])]) ).

fof(f319,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f8335,plain,
    ~ spl2_1380,
    inference(avatar_split_clause,[],[f400,f8332]) ).

fof(f8332,plain,
    ( spl2_1380
  <=> n6 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1380])]) ).

fof(f400,plain,
    n6 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f8330,plain,
    spl2_1379,
    inference(avatar_split_clause,[],[f951,f8327]) ).

fof(f8327,plain,
    ( spl2_1379
  <=> n21 = sum(n11,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1379])]) ).

fof(f951,plain,
    n21 = sum(n11,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f8325,plain,
    spl2_1378,
    inference(avatar_split_clause,[],[f1184,f8322]) ).

fof(f8322,plain,
    ( spl2_1378
  <=> n27 = sum(n3,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1378])]) ).

fof(f1184,plain,
    n27 = sum(n3,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f8320,plain,
    ~ spl2_1377,
    inference(avatar_split_clause,[],[f1027,f8317]) ).

fof(f8317,plain,
    ( spl2_1377
  <=> n20 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1377])]) ).

fof(f1027,plain,
    n20 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f8315,plain,
    spl2_1376,
    inference(avatar_split_clause,[],[f793,f8312]) ).

fof(f8312,plain,
    ( spl2_1376
  <=> n30 = sum(n16,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1376])]) ).

fof(f793,plain,
    n30 = sum(n16,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f8310,plain,
    ~ spl2_1375,
    inference(avatar_split_clause,[],[f244,f8307]) ).

fof(f8307,plain,
    ( spl2_1375
  <=> n8 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1375])]) ).

fof(f244,plain,
    n8 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f8305,plain,
    spl2_1374,
    inference(avatar_split_clause,[],[f919,f8302]) ).

fof(f8302,plain,
    ( spl2_1374
  <=> n22 = sum(n13,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1374])]) ).

fof(f919,plain,
    n22 = sum(n13,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f8300,plain,
    spl2_1373,
    inference(avatar_split_clause,[],[f1095,f8297]) ).

fof(f8297,plain,
    ( spl2_1373
  <=> n27 = sum(n16,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1373])]) ).

fof(f1095,plain,
    n27 = sum(n16,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f8295,plain,
    spl2_1372,
    inference(avatar_split_clause,[],[f876,f8292]) ).

fof(f8292,plain,
    ( spl2_1372
  <=> n12 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1372])]) ).

fof(f876,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f8290,plain,
    ~ spl2_1371,
    inference(avatar_split_clause,[],[f221,f8287]) ).

fof(f8287,plain,
    ( spl2_1371
  <=> n5 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1371])]) ).

fof(f221,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f8285,plain,
    spl2_1370,
    inference(avatar_split_clause,[],[f58,f8282]) ).

fof(f8282,plain,
    ( spl2_1370
  <=> n17 = pred(n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1370])]) ).

fof(f58,plain,
    n17 = pred(n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f8280,plain,
    ~ spl2_1369,
    inference(avatar_split_clause,[],[f570,f8277]) ).

fof(f8277,plain,
    ( spl2_1369
  <=> n8 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1369])]) ).

fof(f570,plain,
    n8 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f8275,plain,
    ~ spl2_1368,
    inference(avatar_split_clause,[],[f532,f8272]) ).

fof(f8272,plain,
    ( spl2_1368
  <=> n8 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1368])]) ).

fof(f532,plain,
    n8 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f8270,plain,
    spl2_1367,
    inference(avatar_split_clause,[],[f976,f8267]) ).

fof(f8267,plain,
    ( spl2_1367
  <=> n0 = sum(n10,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1367])]) ).

fof(f976,plain,
    n0 = sum(n10,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f8265,plain,
    spl2_1366,
    inference(avatar_split_clause,[],[f522,f8262]) ).

fof(f8262,plain,
    ( spl2_1366
  <=> n24 = sum(n19,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1366])]) ).

fof(f522,plain,
    n24 = sum(n19,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f8260,plain,
    spl2_1365,
    inference(avatar_split_clause,[],[f1368,f8257]) ).

fof(f8257,plain,
    ( spl2_1365
  <=> n15 = sum(n15,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1365])]) ).

fof(f1368,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f8255,plain,
    ~ spl2_1364,
    inference(avatar_split_clause,[],[f355,f8252]) ).

fof(f8252,plain,
    ( spl2_1364
  <=> n11 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1364])]) ).

fof(f355,plain,
    n11 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f8250,plain,
    ~ spl2_1363,
    inference(avatar_split_clause,[],[f429,f8247]) ).

fof(f8247,plain,
    ( spl2_1363
  <=> n3 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1363])]) ).

fof(f429,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f8245,plain,
    spl2_1362,
    inference(avatar_split_clause,[],[f944,f8242]) ).

fof(f8242,plain,
    ( spl2_1362
  <=> n13 = sum(n18,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1362])]) ).

fof(f944,plain,
    n13 = sum(n18,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f8240,plain,
    spl2_1361,
    inference(avatar_split_clause,[],[f978,f8237]) ).

fof(f8237,plain,
    ( spl2_1361
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1361])]) ).

fof(f978,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f8235,plain,
    spl2_1360,
    inference(avatar_split_clause,[],[f959,f8232]) ).

fof(f8232,plain,
    ( spl2_1360
  <=> succ(n12) = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1360])]) ).

fof(f959,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f8230,plain,
    spl2_1359,
    inference(avatar_split_clause,[],[f1237,f8227]) ).

fof(f8227,plain,
    ( spl2_1359
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1359])]) ).

fof(f1237,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f8225,plain,
    spl2_1358,
    inference(avatar_split_clause,[],[f675,f8222]) ).

fof(f8222,plain,
    ( spl2_1358
  <=> n22 = sum(n11,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1358])]) ).

fof(f675,plain,
    n22 = sum(n11,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f8220,plain,
    spl2_1357,
    inference(avatar_split_clause,[],[f1396,f8217]) ).

fof(f8217,plain,
    ( spl2_1357
  <=> n26 = sum(n22,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1357])]) ).

fof(f1396,plain,
    n26 = sum(n22,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f8215,plain,
    spl2_1356,
    inference(avatar_split_clause,[],[f1193,f8212]) ).

fof(f8212,plain,
    ( spl2_1356
  <=> n12 = sum(n19,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1356])]) ).

fof(f1193,plain,
    n12 = sum(n19,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f8210,plain,
    spl2_1355,
    inference(avatar_split_clause,[],[f932,f8207]) ).

fof(f8207,plain,
    ( spl2_1355
  <=> n28 = sum(n13,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1355])]) ).

fof(f932,plain,
    n28 = sum(n13,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f8205,plain,
    spl2_1354,
    inference(avatar_split_clause,[],[f201,f8202]) ).

fof(f8202,plain,
    ( spl2_1354
  <=> n16 = sum(n23,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1354])]) ).

fof(f201,plain,
    n16 = sum(n23,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f8200,plain,
    spl2_1353,
    inference(avatar_split_clause,[],[f850,f8197]) ).

fof(f8197,plain,
    ( spl2_1353
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1353])]) ).

fof(f850,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f8195,plain,
    spl2_1352,
    inference(avatar_split_clause,[],[f1398,f8192]) ).

fof(f8192,plain,
    ( spl2_1352
  <=> n28 = sum(n24,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1352])]) ).

fof(f1398,plain,
    n28 = sum(n24,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f8190,plain,
    spl2_1351,
    inference(avatar_split_clause,[],[f811,f8187]) ).

fof(f8187,plain,
    ( spl2_1351
  <=> n18 = sum(n12,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1351])]) ).

fof(f811,plain,
    n18 = sum(n12,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f8185,plain,
    spl2_1350,
    inference(avatar_split_clause,[],[f444,f8182]) ).

fof(f8182,plain,
    ( spl2_1350
  <=> n16 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1350])]) ).

fof(f444,plain,
    n16 = sum(n9,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f8180,plain,
    spl2_1349,
    inference(avatar_split_clause,[],[f573,f8177]) ).

fof(f8177,plain,
    ( spl2_1349
  <=> n27 = sum(n24,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1349])]) ).

fof(f573,plain,
    n27 = sum(n24,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f8175,plain,
    ~ spl2_1348,
    inference(avatar_split_clause,[],[f112,f8172]) ).

fof(f8172,plain,
    ( spl2_1348
  <=> n24 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1348])]) ).

fof(f112,plain,
    n24 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f8170,plain,
    ~ spl2_1347,
    inference(avatar_split_clause,[],[f577,f8167]) ).

fof(f8167,plain,
    ( spl2_1347
  <=> n14 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1347])]) ).

fof(f577,plain,
    n14 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f8165,plain,
    ~ spl2_1346,
    inference(avatar_split_clause,[],[f707,f8162]) ).

fof(f8162,plain,
    ( spl2_1346
  <=> n8 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1346])]) ).

fof(f707,plain,
    n8 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f8160,plain,
    ~ spl2_1345,
    inference(avatar_split_clause,[],[f186,f8157]) ).

fof(f8157,plain,
    ( spl2_1345
  <=> n18 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1345])]) ).

fof(f186,plain,
    n18 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f8155,plain,
    spl2_1344,
    inference(avatar_split_clause,[],[f940,f8152]) ).

fof(f8152,plain,
    ( spl2_1344
  <=> n29 = sum(n23,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1344])]) ).

fof(f940,plain,
    n29 = sum(n23,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f8150,plain,
    ~ spl2_1343,
    inference(avatar_split_clause,[],[f820,f8147]) ).

fof(f8147,plain,
    ( spl2_1343
  <=> n4 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1343])]) ).

fof(f820,plain,
    n4 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f8145,plain,
    spl2_1342,
    inference(avatar_split_clause,[],[f531,f8142]) ).

fof(f8142,plain,
    ( spl2_1342
  <=> n7 = sum(n26,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1342])]) ).

fof(f531,plain,
    n7 = sum(n26,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f8140,plain,
    spl2_1341,
    inference(avatar_split_clause,[],[f180,f8137]) ).

fof(f8137,plain,
    ( spl2_1341
  <=> n19 = sum(n26,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1341])]) ).

fof(f180,plain,
    n19 = sum(n26,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f8135,plain,
    spl2_1340,
    inference(avatar_split_clause,[],[f634,f8132]) ).

fof(f8132,plain,
    ( spl2_1340
  <=> n17 = sum(n15,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1340])]) ).

fof(f634,plain,
    n17 = sum(n15,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f8130,plain,
    spl2_1339,
    inference(avatar_split_clause,[],[f767,f8127]) ).

fof(f8127,plain,
    ( spl2_1339
  <=> n21 = sum(n13,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1339])]) ).

fof(f767,plain,
    n21 = sum(n13,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f8125,plain,
    spl2_1338,
    inference(avatar_split_clause,[],[f839,f8122]) ).

fof(f8122,plain,
    ( spl2_1338
  <=> n24 = sum(n29,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1338])]) ).

fof(f839,plain,
    n24 = sum(n29,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f8120,plain,
    spl2_1337,
    inference(avatar_split_clause,[],[f436,f8117]) ).

fof(f8117,plain,
    ( spl2_1337
  <=> n27 = sum(n30,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1337])]) ).

fof(f436,plain,
    n27 = sum(n30,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f8115,plain,
    spl2_1336,
    inference(avatar_split_clause,[],[f1389,f8112]) ).

fof(f8112,plain,
    ( spl2_1336
  <=> n29 = sum(n6,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1336])]) ).

fof(f1389,plain,
    n29 = sum(n6,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f8110,plain,
    spl2_1335,
    inference(avatar_split_clause,[],[f120,f8107]) ).

fof(f8107,plain,
    ( spl2_1335
  <=> n19 = sum(n17,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1335])]) ).

fof(f120,plain,
    n19 = sum(n17,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f8105,plain,
    ~ spl2_1334,
    inference(avatar_split_clause,[],[f35,f8102]) ).

fof(f8102,plain,
    ( spl2_1334
  <=> n3 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1334])]) ).

fof(f35,plain,
    n3 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f8100,plain,
    spl2_1333,
    inference(avatar_split_clause,[],[f558,f8097]) ).

fof(f8097,plain,
    ( spl2_1333
  <=> n22 = sum(n19,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1333])]) ).

fof(f558,plain,
    n22 = sum(n19,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f8095,plain,
    ~ spl2_1332,
    inference(avatar_split_clause,[],[f1410,f8092]) ).

fof(f8092,plain,
    ( spl2_1332
  <=> n3 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1332])]) ).

fof(f1410,plain,
    n3 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f8090,plain,
    spl2_1331,
    inference(avatar_split_clause,[],[f348,f8087]) ).

fof(f8087,plain,
    ( spl2_1331
  <=> n14 = sum(n15,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1331])]) ).

fof(f348,plain,
    n14 = sum(n15,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f8085,plain,
    spl2_1330,
    inference(avatar_split_clause,[],[f726,f8082]) ).

fof(f8082,plain,
    ( spl2_1330
  <=> n7 = sum(n17,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1330])]) ).

fof(f726,plain,
    n7 = sum(n17,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f8080,plain,
    spl2_1329,
    inference(avatar_split_clause,[],[f970,f8077]) ).

fof(f8077,plain,
    ( spl2_1329
  <=> n14 = sum(n13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1329])]) ).

fof(f970,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f8075,plain,
    spl2_1328,
    inference(avatar_split_clause,[],[f335,f8072]) ).

fof(f8072,plain,
    ( spl2_1328
  <=> n5 = sum(n15,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1328])]) ).

fof(f335,plain,
    n5 = sum(n15,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f8070,plain,
    spl2_1327,
    inference(avatar_split_clause,[],[f1450,f8067]) ).

fof(f8067,plain,
    ( spl2_1327
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1327])]) ).

fof(f1450,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f8065,plain,
    spl2_1326,
    inference(avatar_split_clause,[],[f1126,f8062]) ).

fof(f8062,plain,
    ( spl2_1326
  <=> n3 = sum(n24,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1326])]) ).

fof(f1126,plain,
    n3 = sum(n24,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f8060,plain,
    spl2_1325,
    inference(avatar_split_clause,[],[f680,f8057]) ).

fof(f8057,plain,
    ( spl2_1325
  <=> n14 = sum(n1,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1325])]) ).

fof(f680,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f8055,plain,
    spl2_1324,
    inference(avatar_split_clause,[],[f27,f8052]) ).

fof(f8052,plain,
    ( spl2_1324
  <=> n21 = sum(n30,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1324])]) ).

fof(f27,plain,
    n21 = sum(n30,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f8050,plain,
    spl2_1323,
    inference(avatar_split_clause,[],[f647,f8047]) ).

fof(f8047,plain,
    ( spl2_1323
  <=> n11 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1323])]) ).

fof(f647,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f8045,plain,
    spl2_1322,
    inference(avatar_split_clause,[],[f770,f8042]) ).

fof(f8042,plain,
    ( spl2_1322
  <=> n27 = sum(n10,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1322])]) ).

fof(f770,plain,
    n27 = sum(n10,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f8040,plain,
    spl2_1321,
    inference(avatar_split_clause,[],[f1011,f8037]) ).

fof(f8037,plain,
    ( spl2_1321
  <=> n11 = sum(n14,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1321])]) ).

fof(f1011,plain,
    n11 = sum(n14,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f8035,plain,
    spl2_1320,
    inference(avatar_split_clause,[],[f874,f8032]) ).

fof(f8032,plain,
    ( spl2_1320
  <=> n18 = sum(n30,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1320])]) ).

fof(f874,plain,
    n18 = sum(n30,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f8030,plain,
    ~ spl2_1319,
    inference(avatar_split_clause,[],[f252,f8027]) ).

fof(f8027,plain,
    ( spl2_1319
  <=> n2 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1319])]) ).

fof(f252,plain,
    n2 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f8025,plain,
    spl2_1318,
    inference(avatar_split_clause,[],[f772,f8022]) ).

fof(f8022,plain,
    ( spl2_1318
  <=> n14 = sum(n14,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1318])]) ).

fof(f772,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f8020,plain,
    spl2_1317,
    inference(avatar_split_clause,[],[f701,f8017]) ).

fof(f8017,plain,
    ( spl2_1317
  <=> n4 = sum(n12,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1317])]) ).

fof(f701,plain,
    n4 = sum(n12,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f8015,plain,
    spl2_1316,
    inference(avatar_split_clause,[],[f904,f8012]) ).

fof(f8012,plain,
    ( spl2_1316
  <=> n1 = sum(n20,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1316])]) ).

fof(f904,plain,
    n1 = sum(n20,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f8010,plain,
    ~ spl2_1315,
    inference(avatar_split_clause,[],[f1371,f8007]) ).

fof(f8007,plain,
    ( spl2_1315
  <=> n16 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1315])]) ).

fof(f1371,plain,
    n16 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f8005,plain,
    spl2_1314,
    inference(avatar_split_clause,[],[f415,f8002]) ).

fof(f8002,plain,
    ( spl2_1314
  <=> n14 = pred(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1314])]) ).

fof(f415,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f8000,plain,
    ~ spl2_1313,
    inference(avatar_split_clause,[],[f511,f7997]) ).

fof(f7997,plain,
    ( spl2_1313
  <=> n13 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1313])]) ).

fof(f511,plain,
    n13 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f7995,plain,
    ~ spl2_1312,
    inference(avatar_split_clause,[],[f933,f7992]) ).

fof(f7992,plain,
    ( spl2_1312
  <=> n13 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1312])]) ).

fof(f933,plain,
    n13 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f7990,plain,
    ~ spl2_1311,
    inference(avatar_split_clause,[],[f900,f7987]) ).

fof(f7987,plain,
    ( spl2_1311
  <=> n18 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1311])]) ).

fof(f900,plain,
    n18 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f7985,plain,
    spl2_1310,
    inference(avatar_split_clause,[],[f1204,f7982]) ).

fof(f7982,plain,
    ( spl2_1310
  <=> n6 = sum(n18,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1310])]) ).

fof(f1204,plain,
    n6 = sum(n18,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f7980,plain,
    ~ spl2_1309,
    inference(avatar_split_clause,[],[f694,f7977]) ).

fof(f7977,plain,
    ( spl2_1309
  <=> n10 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1309])]) ).

fof(f694,plain,
    n10 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f7975,plain,
    ~ spl2_1308,
    inference(avatar_split_clause,[],[f486,f7972]) ).

fof(f7972,plain,
    ( spl2_1308
  <=> n3 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1308])]) ).

fof(f486,plain,
    n3 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f7970,plain,
    spl2_1307,
    inference(avatar_split_clause,[],[f686,f7967]) ).

fof(f7967,plain,
    ( spl2_1307
  <=> n10 = sum(n25,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1307])]) ).

fof(f686,plain,
    n10 = sum(n25,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f7965,plain,
    spl2_1306,
    inference(avatar_split_clause,[],[f304,f7962]) ).

fof(f7962,plain,
    ( spl2_1306
  <=> n6 = sum(n24,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1306])]) ).

fof(f304,plain,
    n6 = sum(n24,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f7960,plain,
    spl2_1305,
    inference(avatar_split_clause,[],[f896,f7957]) ).

fof(f7957,plain,
    ( spl2_1305
  <=> n21 = sum(n3,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1305])]) ).

fof(f896,plain,
    n21 = sum(n3,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f7955,plain,
    spl2_1304,
    inference(avatar_split_clause,[],[f1107,f7952]) ).

fof(f7952,plain,
    ( spl2_1304
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1304])]) ).

fof(f1107,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f7950,plain,
    spl2_1303,
    inference(avatar_split_clause,[],[f696,f7947]) ).

fof(f7947,plain,
    ( spl2_1303
  <=> n19 = sum(n6,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1303])]) ).

fof(f696,plain,
    n19 = sum(n6,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f7945,plain,
    ~ spl2_1302,
    inference(avatar_split_clause,[],[f826,f7942]) ).

fof(f7942,plain,
    ( spl2_1302
  <=> n9 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1302])]) ).

fof(f826,plain,
    n9 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f7940,plain,
    spl2_1301,
    inference(avatar_split_clause,[],[f199,f7937]) ).

fof(f7937,plain,
    ( spl2_1301
  <=> n24 = sum(n9,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1301])]) ).

fof(f199,plain,
    n24 = sum(n9,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f7935,plain,
    spl2_1300,
    inference(avatar_split_clause,[],[f1175,f7932]) ).

fof(f7932,plain,
    ( spl2_1300
  <=> n8 = sum(n16,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1300])]) ).

fof(f1175,plain,
    n8 = sum(n16,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f7930,plain,
    ~ spl2_1299,
    inference(avatar_split_clause,[],[f590,f7927]) ).

fof(f7927,plain,
    ( spl2_1299
  <=> n13 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1299])]) ).

fof(f590,plain,
    n13 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f7925,plain,
    ~ spl2_1298,
    inference(avatar_split_clause,[],[f869,f7922]) ).

fof(f7922,plain,
    ( spl2_1298
  <=> n7 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1298])]) ).

fof(f869,plain,
    n7 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f7920,plain,
    spl2_1297,
    inference(avatar_split_clause,[],[f1006,f7917]) ).

fof(f7917,plain,
    ( spl2_1297
  <=> n16 = sum(n15,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1297])]) ).

fof(f1006,plain,
    n16 = sum(n15,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f7915,plain,
    ~ spl2_1296,
    inference(avatar_split_clause,[],[f1230,f7912]) ).

fof(f7912,plain,
    ( spl2_1296
  <=> n4 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1296])]) ).

fof(f1230,plain,
    n4 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f7910,plain,
    ~ spl2_1295,
    inference(avatar_split_clause,[],[f478,f7907]) ).

fof(f7907,plain,
    ( spl2_1295
  <=> n19 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1295])]) ).

fof(f478,plain,
    n19 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f7905,plain,
    spl2_1294,
    inference(avatar_split_clause,[],[f68,f7902]) ).

fof(f7902,plain,
    ( spl2_1294
  <=> n19 = sum(n19,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1294])]) ).

fof(f68,plain,
    n19 = sum(n19,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f7900,plain,
    spl2_1293,
    inference(avatar_split_clause,[],[f999,f7897]) ).

fof(f7897,plain,
    ( spl2_1293
  <=> n16 = sum(n3,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1293])]) ).

fof(f999,plain,
    n16 = sum(n3,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f7895,plain,
    spl2_1292,
    inference(avatar_split_clause,[],[f1284,f7892]) ).

fof(f7892,plain,
    ( spl2_1292
  <=> n26 = sum(n10,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1292])]) ).

fof(f1284,plain,
    n26 = sum(n10,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f7890,plain,
    spl2_1291,
    inference(avatar_split_clause,[],[f787,f7887]) ).

fof(f7887,plain,
    ( spl2_1291
  <=> n11 = sum(n22,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1291])]) ).

fof(f787,plain,
    n11 = sum(n22,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f7885,plain,
    spl2_1290,
    inference(avatar_split_clause,[],[f264,f7882]) ).

fof(f7882,plain,
    ( spl2_1290
  <=> n14 = sum(n19,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1290])]) ).

fof(f264,plain,
    n14 = sum(n19,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f7880,plain,
    ~ spl2_1289,
    inference(avatar_split_clause,[],[f1433,f7877]) ).

fof(f7877,plain,
    ( spl2_1289
  <=> n10 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1289])]) ).

fof(f1433,plain,
    n10 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f7875,plain,
    spl2_1288,
    inference(avatar_split_clause,[],[f189,f7872]) ).

fof(f7872,plain,
    ( spl2_1288
  <=> succ(n20) = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1288])]) ).

fof(f189,plain,
    succ(n20) = n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f7870,plain,
    spl2_1287,
    inference(avatar_split_clause,[],[f1090,f7867]) ).

fof(f7867,plain,
    ( spl2_1287
  <=> n12 = sum(n24,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1287])]) ).

fof(f1090,plain,
    n12 = sum(n24,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f7865,plain,
    spl2_1286,
    inference(avatar_split_clause,[],[f930,f7862]) ).

fof(f7862,plain,
    ( spl2_1286
  <=> n14 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1286])]) ).

fof(f930,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f7860,plain,
    spl2_1285,
    inference(avatar_split_clause,[],[f302,f7857]) ).

fof(f7857,plain,
    ( spl2_1285
  <=> n12 = sum(n22,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1285])]) ).

fof(f302,plain,
    n12 = sum(n22,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f7855,plain,
    spl2_1284,
    inference(avatar_split_clause,[],[f1310,f7852]) ).

fof(f7852,plain,
    ( spl2_1284
  <=> n21 = sum(n23,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1284])]) ).

fof(f1310,plain,
    n21 = sum(n23,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f7850,plain,
    ~ spl2_1283,
    inference(avatar_split_clause,[],[f1176,f7847]) ).

fof(f7847,plain,
    ( spl2_1283
  <=> n16 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1283])]) ).

fof(f1176,plain,
    n16 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f7845,plain,
    spl2_1282,
    inference(avatar_split_clause,[],[f926,f7842]) ).

fof(f7842,plain,
    ( spl2_1282
  <=> n2 = sum(n20,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1282])]) ).

fof(f926,plain,
    n2 = sum(n20,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f7840,plain,
    spl2_1281,
    inference(avatar_split_clause,[],[f1411,f7837]) ).

fof(f7837,plain,
    ( spl2_1281
  <=> n7 = sum(n30,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1281])]) ).

fof(f1411,plain,
    n7 = sum(n30,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f7835,plain,
    spl2_1280,
    inference(avatar_split_clause,[],[f828,f7832]) ).

fof(f7832,plain,
    ( spl2_1280
  <=> n28 = sum(n10,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1280])]) ).

fof(f828,plain,
    n28 = sum(n10,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f7830,plain,
    spl2_1279,
    inference(avatar_split_clause,[],[f1322,f7827]) ).

fof(f7827,plain,
    ( spl2_1279
  <=> n1 = sum(n26,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1279])]) ).

fof(f1322,plain,
    n1 = sum(n26,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f7825,plain,
    spl2_1278,
    inference(avatar_split_clause,[],[f347,f7822]) ).

fof(f7822,plain,
    ( spl2_1278
  <=> n10 = sum(n16,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1278])]) ).

fof(f347,plain,
    n10 = sum(n16,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f7820,plain,
    spl2_1277,
    inference(avatar_split_clause,[],[f113,f7817]) ).

fof(f7817,plain,
    ( spl2_1277
  <=> succ(n19) = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1277])]) ).

fof(f113,plain,
    succ(n19) = n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f7815,plain,
    ~ spl2_1276,
    inference(avatar_split_clause,[],[f1285,f7812]) ).

fof(f7812,plain,
    ( spl2_1276
  <=> n0 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1276])]) ).

fof(f1285,plain,
    n0 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f7810,plain,
    ~ spl2_1275,
    inference(avatar_split_clause,[],[f671,f7807]) ).

fof(f7807,plain,
    ( spl2_1275
  <=> n11 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1275])]) ).

fof(f671,plain,
    n11 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f7805,plain,
    ~ spl2_1274,
    inference(avatar_split_clause,[],[f403,f7802]) ).

fof(f7802,plain,
    ( spl2_1274
  <=> n10 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1274])]) ).

fof(f403,plain,
    n10 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f7800,plain,
    spl2_1273,
    inference(avatar_split_clause,[],[f333,f7797]) ).

fof(f7797,plain,
    ( spl2_1273
  <=> n5 = sum(n23,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1273])]) ).

fof(f333,plain,
    n5 = sum(n23,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f7795,plain,
    spl2_1272,
    inference(avatar_split_clause,[],[f1414,f7792]) ).

fof(f7792,plain,
    ( spl2_1272
  <=> n30 = sum(n11,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1272])]) ).

fof(f1414,plain,
    n30 = sum(n11,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f7790,plain,
    spl2_1271,
    inference(avatar_split_clause,[],[f408,f7787]) ).

fof(f7787,plain,
    ( spl2_1271
  <=> n12 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1271])]) ).

fof(f408,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f7785,plain,
    ~ spl2_1270,
    inference(avatar_split_clause,[],[f273,f7782]) ).

fof(f7782,plain,
    ( spl2_1270
  <=> n13 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1270])]) ).

fof(f273,plain,
    n13 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f7780,plain,
    spl2_1269,
    inference(avatar_split_clause,[],[f101,f7777]) ).

fof(f7777,plain,
    ( spl2_1269
  <=> n22 = sum(n30,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1269])]) ).

fof(f101,plain,
    n22 = sum(n30,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f7775,plain,
    spl2_1268,
    inference(avatar_split_clause,[],[f507,f7772]) ).

fof(f7772,plain,
    ( spl2_1268
  <=> n29 = sum(n4,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1268])]) ).

fof(f507,plain,
    n29 = sum(n4,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f7770,plain,
    spl2_1267,
    inference(avatar_split_clause,[],[f440,f7767]) ).

fof(f7767,plain,
    ( spl2_1267
  <=> n9 = sum(n24,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1267])]) ).

fof(f440,plain,
    n9 = sum(n24,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f7765,plain,
    spl2_1266,
    inference(avatar_split_clause,[],[f881,f7762]) ).

fof(f7762,plain,
    ( spl2_1266
  <=> n27 = sum(n25,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1266])]) ).

fof(f881,plain,
    n27 = sum(n25,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f7760,plain,
    spl2_1265,
    inference(avatar_split_clause,[],[f217,f7757]) ).

fof(f7757,plain,
    ( spl2_1265
  <=> n18 = sum(n2,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1265])]) ).

fof(f217,plain,
    n18 = sum(n2,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f7755,plain,
    spl2_1264,
    inference(avatar_split_clause,[],[f1472,f7752]) ).

fof(f7752,plain,
    ( spl2_1264
  <=> n13 = sum(n26,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1264])]) ).

fof(f1472,plain,
    n13 = sum(n26,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f7750,plain,
    spl2_1263,
    inference(avatar_split_clause,[],[f806,f7747]) ).

fof(f7747,plain,
    ( spl2_1263
  <=> n2 = sum(n8,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1263])]) ).

fof(f806,plain,
    n2 = sum(n8,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f7745,plain,
    spl2_1262,
    inference(avatar_split_clause,[],[f1456,f7742]) ).

fof(f7742,plain,
    ( spl2_1262
  <=> n27 = sum(n15,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1262])]) ).

fof(f1456,plain,
    n27 = sum(n15,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f7740,plain,
    spl2_1261,
    inference(avatar_split_clause,[],[f1383,f7737]) ).

fof(f7737,plain,
    ( spl2_1261
  <=> n20 = pred(n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1261])]) ).

fof(f1383,plain,
    n20 = pred(n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f7735,plain,
    ~ spl2_1260,
    inference(avatar_split_clause,[],[f1127,f7732]) ).

fof(f7732,plain,
    ( spl2_1260
  <=> n16 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1260])]) ).

fof(f1127,plain,
    n16 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f7730,plain,
    ~ spl2_1259,
    inference(avatar_split_clause,[],[f1462,f7727]) ).

fof(f7727,plain,
    ( spl2_1259
  <=> n2 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1259])]) ).

fof(f1462,plain,
    n2 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f7725,plain,
    ~ spl2_1258,
    inference(avatar_split_clause,[],[f1288,f7722]) ).

fof(f7722,plain,
    ( spl2_1258
  <=> n2 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1258])]) ).

fof(f1288,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f7720,plain,
    spl2_1257,
    inference(avatar_split_clause,[],[f1224,f7717]) ).

fof(f7717,plain,
    ( spl2_1257
  <=> n27 = sum(n1,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1257])]) ).

fof(f1224,plain,
    n27 = sum(n1,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f7715,plain,
    ~ spl2_1256,
    inference(avatar_split_clause,[],[f1305,f7712]) ).

fof(f7712,plain,
    ( spl2_1256
  <=> n0 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1256])]) ).

fof(f1305,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f7710,plain,
    ~ spl2_1255,
    inference(avatar_split_clause,[],[f1057,f7707]) ).

fof(f7707,plain,
    ( spl2_1255
  <=> n5 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1255])]) ).

fof(f1057,plain,
    n5 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f7705,plain,
    ~ spl2_1254,
    inference(avatar_split_clause,[],[f269,f7702]) ).

fof(f7702,plain,
    ( spl2_1254
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1254])]) ).

fof(f269,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f4]) ).

fof(f7700,plain,
    spl2_1253,
    inference(avatar_split_clause,[],[f846,f7697]) ).

fof(f7697,plain,
    ( spl2_1253
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1253])]) ).

fof(f846,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f7695,plain,
    spl2_1252,
    inference(avatar_split_clause,[],[f1186,f7692]) ).

fof(f7692,plain,
    ( spl2_1252
  <=> n16 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1252])]) ).

fof(f1186,plain,
    n16 = sum(n6,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f7690,plain,
    spl2_1251,
    inference(avatar_split_clause,[],[f307,f7687]) ).

fof(f7687,plain,
    ( spl2_1251
  <=> n28 = sum(n23,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1251])]) ).

fof(f307,plain,
    n28 = sum(n23,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f7685,plain,
    spl2_1250,
    inference(avatar_split_clause,[],[f390,f7682]) ).

fof(f7682,plain,
    ( spl2_1250
  <=> n18 = sum(n24,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1250])]) ).

fof(f390,plain,
    n18 = sum(n24,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f7680,plain,
    spl2_1249,
    inference(avatar_split_clause,[],[f1225,f7677]) ).

fof(f7677,plain,
    ( spl2_1249
  <=> n24 = sum(n1,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1249])]) ).

fof(f1225,plain,
    n24 = sum(n1,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f7675,plain,
    spl2_1248,
    inference(avatar_split_clause,[],[f485,f7672]) ).

fof(f7672,plain,
    ( spl2_1248
  <=> n14 = sum(n26,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1248])]) ).

fof(f485,plain,
    n14 = sum(n26,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f7670,plain,
    ~ spl2_1247,
    inference(avatar_split_clause,[],[f282,f7667]) ).

fof(f7667,plain,
    ( spl2_1247
  <=> n23 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1247])]) ).

fof(f282,plain,
    n23 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f7665,plain,
    ~ spl2_1246,
    inference(avatar_split_clause,[],[f501,f7662]) ).

fof(f7662,plain,
    ( spl2_1246
  <=> n6 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1246])]) ).

fof(f501,plain,
    n6 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f7660,plain,
    spl2_1245,
    inference(avatar_split_clause,[],[f338,f7657]) ).

fof(f7657,plain,
    ( spl2_1245
  <=> n28 = sum(n30,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1245])]) ).

fof(f338,plain,
    n28 = sum(n30,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f7655,plain,
    spl2_1244,
    inference(avatar_split_clause,[],[f1113,f7652]) ).

fof(f7652,plain,
    ( spl2_1244
  <=> n4 = sum(n11,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1244])]) ).

fof(f1113,plain,
    n4 = sum(n11,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f7650,plain,
    spl2_1243,
    inference(avatar_split_clause,[],[f1248,f7647]) ).

fof(f7647,plain,
    ( spl2_1243
  <=> n5 = sum(n17,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1243])]) ).

fof(f1248,plain,
    n5 = sum(n17,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f7645,plain,
    spl2_1242,
    inference(avatar_split_clause,[],[f275,f7642]) ).

fof(f7642,plain,
    ( spl2_1242
  <=> n28 = sum(n3,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1242])]) ).

fof(f275,plain,
    n28 = sum(n3,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f7640,plain,
    spl2_1241,
    inference(avatar_split_clause,[],[f499,f7637]) ).

fof(f7637,plain,
    ( spl2_1241
  <=> n15 = sum(n27,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1241])]) ).

fof(f499,plain,
    n15 = sum(n27,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f7635,plain,
    spl2_1240,
    inference(avatar_split_clause,[],[f673,f7632]) ).

fof(f7632,plain,
    ( spl2_1240
  <=> n8 = sum(n11,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1240])]) ).

fof(f673,plain,
    n8 = sum(n11,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f7630,plain,
    ~ spl2_1239,
    inference(avatar_split_clause,[],[f1453,f7627]) ).

fof(f7627,plain,
    ( spl2_1239
  <=> n2 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1239])]) ).

fof(f1453,plain,
    n2 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f7625,plain,
    spl2_1238,
    inference(avatar_split_clause,[],[f980,f7622]) ).

fof(f7622,plain,
    ( spl2_1238
  <=> n20 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1238])]) ).

fof(f980,plain,
    n20 = sum(n10,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f7620,plain,
    ~ spl2_1237,
    inference(avatar_split_clause,[],[f580,f7617]) ).

fof(f7617,plain,
    ( spl2_1237
  <=> n4 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1237])]) ).

fof(f580,plain,
    n4 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f7615,plain,
    spl2_1236,
    inference(avatar_split_clause,[],[f1333,f7612]) ).

fof(f7612,plain,
    ( spl2_1236
  <=> n18 = sum(n4,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1236])]) ).

fof(f1333,plain,
    n18 = sum(n4,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f7610,plain,
    spl2_1235,
    inference(avatar_split_clause,[],[f177,f7607]) ).

fof(f7607,plain,
    ( spl2_1235
  <=> n13 = sum(n13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1235])]) ).

fof(f177,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f7605,plain,
    spl2_1234,
    inference(avatar_split_clause,[],[f471,f7602]) ).

fof(f7602,plain,
    ( spl2_1234
  <=> n2 = sum(n6,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1234])]) ).

fof(f471,plain,
    n2 = sum(n6,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f7600,plain,
    spl2_1233,
    inference(avatar_split_clause,[],[f294,f7597]) ).

fof(f7597,plain,
    ( spl2_1233
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1233])]) ).

fof(f294,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f7595,plain,
    spl2_1232,
    inference(avatar_split_clause,[],[f193,f7592]) ).

fof(f7592,plain,
    ( spl2_1232
  <=> n28 = sum(n29,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1232])]) ).

fof(f193,plain,
    n28 = sum(n29,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f7590,plain,
    spl2_1231,
    inference(avatar_split_clause,[],[f1474,f7587]) ).

fof(f7587,plain,
    ( spl2_1231
  <=> n0 = sum(n21,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1231])]) ).

fof(f1474,plain,
    n0 = sum(n21,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f7585,plain,
    ~ spl2_1230,
    inference(avatar_split_clause,[],[f827,f7582]) ).

fof(f7582,plain,
    ( spl2_1230
  <=> n23 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1230])]) ).

fof(f827,plain,
    n23 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f7580,plain,
    spl2_1229,
    inference(avatar_split_clause,[],[f791,f7577]) ).

fof(f7577,plain,
    ( spl2_1229
  <=> n4 = sum(n13,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1229])]) ).

fof(f791,plain,
    n4 = sum(n13,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f7575,plain,
    spl2_1228,
    inference(avatar_split_clause,[],[f203,f7572]) ).

fof(f7572,plain,
    ( spl2_1228
  <=> n3 = sum(n11,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1228])]) ).

fof(f203,plain,
    n3 = sum(n11,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f7570,plain,
    spl2_1227,
    inference(avatar_split_clause,[],[f1255,f7567]) ).

fof(f7567,plain,
    ( spl2_1227
  <=> n23 = sum(n4,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1227])]) ).

fof(f1255,plain,
    n23 = sum(n4,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f7565,plain,
    spl2_1226,
    inference(avatar_split_clause,[],[f1269,f7562]) ).

fof(f7562,plain,
    ( spl2_1226
  <=> n12 = sum(n16,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1226])]) ).

fof(f1269,plain,
    n12 = sum(n16,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f7560,plain,
    spl2_1225,
    inference(avatar_split_clause,[],[f1207,f7557]) ).

fof(f7557,plain,
    ( spl2_1225
  <=> n8 = sum(n9,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1225])]) ).

fof(f1207,plain,
    n8 = sum(n9,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f7555,plain,
    spl2_1224,
    inference(avatar_split_clause,[],[f1390,f7552]) ).

fof(f7552,plain,
    ( spl2_1224
  <=> n26 = sum(n2,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1224])]) ).

fof(f1390,plain,
    n26 = sum(n2,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f7550,plain,
    spl2_1223,
    inference(avatar_split_clause,[],[f1489,f7547]) ).

fof(f7547,plain,
    ( spl2_1223
  <=> n0 = sum(n22,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1223])]) ).

fof(f1489,plain,
    n0 = sum(n22,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f7545,plain,
    ~ spl2_1222,
    inference(avatar_split_clause,[],[f108,f7542]) ).

fof(f7542,plain,
    ( spl2_1222
  <=> n9 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1222])]) ).

fof(f108,plain,
    n9 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f7540,plain,
    spl2_1221,
    inference(avatar_split_clause,[],[f1455,f7537]) ).

fof(f7537,plain,
    ( spl2_1221
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1221])]) ).

fof(f1455,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f7535,plain,
    ~ spl2_1220,
    inference(avatar_split_clause,[],[f361,f7532]) ).

fof(f7532,plain,
    ( spl2_1220
  <=> n2 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1220])]) ).

fof(f361,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f7530,plain,
    ~ spl2_1219,
    inference(avatar_split_clause,[],[f1236,f7527]) ).

fof(f7527,plain,
    ( spl2_1219
  <=> n18 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1219])]) ).

fof(f1236,plain,
    n18 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f7525,plain,
    spl2_1218,
    inference(avatar_split_clause,[],[f284,f7522]) ).

fof(f7522,plain,
    ( spl2_1218
  <=> n19 = sum(n2,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1218])]) ).

fof(f284,plain,
    n19 = sum(n2,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f7520,plain,
    spl2_1217,
    inference(avatar_split_clause,[],[f356,f7517]) ).

fof(f7517,plain,
    ( spl2_1217
  <=> n27 = sum(n18,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1217])]) ).

fof(f356,plain,
    n27 = sum(n18,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f7515,plain,
    spl2_1216,
    inference(avatar_split_clause,[],[f106,f7512]) ).

fof(f7512,plain,
    ( spl2_1216
  <=> n18 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1216])]) ).

fof(f106,plain,
    n18 = sum(n10,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f7510,plain,
    spl2_1215,
    inference(avatar_split_clause,[],[f56,f7507]) ).

fof(f7507,plain,
    ( spl2_1215
  <=> n17 = sum(n11,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1215])]) ).

fof(f56,plain,
    n17 = sum(n11,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f7505,plain,
    spl2_1214,
    inference(avatar_split_clause,[],[f1367,f7502]) ).

fof(f7502,plain,
    ( spl2_1214
  <=> n2 = sum(n21,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1214])]) ).

fof(f1367,plain,
    n2 = sum(n21,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f7500,plain,
    spl2_1213,
    inference(avatar_split_clause,[],[f818,f7497]) ).

fof(f7497,plain,
    ( spl2_1213
  <=> n0 = sum(n18,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1213])]) ).

fof(f818,plain,
    n0 = sum(n18,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f7495,plain,
    spl2_1212,
    inference(avatar_split_clause,[],[f690,f7492]) ).

fof(f7492,plain,
    ( spl2_1212
  <=> n28 = sum(n26,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1212])]) ).

fof(f690,plain,
    n28 = sum(n26,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f7490,plain,
    ~ spl2_1211,
    inference(avatar_split_clause,[],[f132,f7487]) ).

fof(f7487,plain,
    ( spl2_1211
  <=> n2 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1211])]) ).

fof(f132,plain,
    n2 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f7485,plain,
    spl2_1210,
    inference(avatar_split_clause,[],[f389,f7482]) ).

fof(f7482,plain,
    ( spl2_1210
  <=> n15 = sum(n21,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1210])]) ).

fof(f389,plain,
    n15 = sum(n21,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f7480,plain,
    spl2_1209,
    inference(avatar_split_clause,[],[f1089,f7477]) ).

fof(f7477,plain,
    ( spl2_1209
  <=> n1 = sum(n6,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1209])]) ).

fof(f1089,plain,
    n1 = sum(n6,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f7475,plain,
    spl2_1208,
    inference(avatar_split_clause,[],[f1244,f7472]) ).

fof(f7472,plain,
    ( spl2_1208
  <=> n13 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1208])]) ).

fof(f1244,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f7470,plain,
    ~ spl2_1207,
    inference(avatar_split_clause,[],[f1167,f7467]) ).

fof(f7467,plain,
    ( spl2_1207
  <=> n3 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1207])]) ).

fof(f1167,plain,
    n3 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f7465,plain,
    spl2_1206,
    inference(avatar_split_clause,[],[f78,f7462]) ).

fof(f7462,plain,
    ( spl2_1206
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1206])]) ).

fof(f78,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f7460,plain,
    spl2_1205,
    inference(avatar_split_clause,[],[f1191,f7457]) ).

fof(f7457,plain,
    ( spl2_1205
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1205])]) ).

fof(f1191,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f7455,plain,
    spl2_1204,
    inference(avatar_split_clause,[],[f908,f7452]) ).

fof(f7452,plain,
    ( spl2_1204
  <=> n5 = sum(n22,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1204])]) ).

fof(f908,plain,
    n5 = sum(n22,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f7450,plain,
    ~ spl2_1203,
    inference(avatar_split_clause,[],[f774,f7447]) ).

fof(f7447,plain,
    ( spl2_1203
  <=> n3 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1203])]) ).

fof(f774,plain,
    n3 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f7445,plain,
    spl2_1202,
    inference(avatar_split_clause,[],[f546,f7442]) ).

fof(f7442,plain,
    ( spl2_1202
  <=> n13 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1202])]) ).

fof(f546,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f7440,plain,
    ~ spl2_1201,
    inference(avatar_split_clause,[],[f1116,f7437]) ).

fof(f7437,plain,
    ( spl2_1201
  <=> n13 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1201])]) ).

fof(f1116,plain,
    n13 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f7435,plain,
    ~ spl2_1200,
    inference(avatar_split_clause,[],[f1271,f7432]) ).

fof(f7432,plain,
    ( spl2_1200
  <=> n2 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1200])]) ).

fof(f1271,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f7430,plain,
    spl2_1199,
    inference(avatar_split_clause,[],[f816,f7427]) ).

fof(f7427,plain,
    ( spl2_1199
  <=> n3 = sum(n7,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1199])]) ).

fof(f816,plain,
    n3 = sum(n7,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f7425,plain,
    ~ spl2_1198,
    inference(avatar_split_clause,[],[f1251,f7422]) ).

fof(f7422,plain,
    ( spl2_1198
  <=> n13 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1198])]) ).

fof(f1251,plain,
    n13 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f7420,plain,
    spl2_1197,
    inference(avatar_split_clause,[],[f677,f7417]) ).

fof(f7417,plain,
    ( spl2_1197
  <=> n11 = sum(n26,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1197])]) ).

fof(f677,plain,
    n11 = sum(n26,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f7415,plain,
    spl2_1196,
    inference(avatar_split_clause,[],[f1030,f7412]) ).

fof(f7412,plain,
    ( spl2_1196
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1196])]) ).

fof(f1030,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f7410,plain,
    spl2_1195,
    inference(avatar_split_clause,[],[f110,f7407]) ).

fof(f7407,plain,
    ( spl2_1195
  <=> n3 = sum(n21,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1195])]) ).

fof(f110,plain,
    n3 = sum(n21,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f7405,plain,
    ~ spl2_1194,
    inference(avatar_split_clause,[],[f457,f7402]) ).

fof(f7402,plain,
    ( spl2_1194
  <=> n1 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1194])]) ).

fof(f457,plain,
    n1 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f7400,plain,
    spl2_1193,
    inference(avatar_split_clause,[],[f498,f7397]) ).

fof(f7397,plain,
    ( spl2_1193
  <=> n24 = sum(n20,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1193])]) ).

fof(f498,plain,
    n24 = sum(n20,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f7395,plain,
    spl2_1192,
    inference(avatar_split_clause,[],[f593,f7392]) ).

fof(f7392,plain,
    ( spl2_1192
  <=> n18 = sum(n16,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1192])]) ).

fof(f593,plain,
    n18 = sum(n16,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f7390,plain,
    spl2_1191,
    inference(avatar_split_clause,[],[f1395,f7387]) ).

fof(f7387,plain,
    ( spl2_1191
  <=> n12 = sum(n30,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1191])]) ).

fof(f1395,plain,
    n12 = sum(n30,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f7385,plain,
    spl2_1190,
    inference(avatar_split_clause,[],[f173,f7382]) ).

fof(f7382,plain,
    ( spl2_1190
  <=> n17 = sum(n3,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1190])]) ).

fof(f173,plain,
    n17 = sum(n3,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f7380,plain,
    spl2_1189,
    inference(avatar_split_clause,[],[f1487,f7377]) ).

fof(f7377,plain,
    ( spl2_1189
  <=> n11 = sum(n19,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1189])]) ).

fof(f1487,plain,
    n11 = sum(n19,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f7375,plain,
    ~ spl2_1188,
    inference(avatar_split_clause,[],[f76,f7372]) ).

fof(f7372,plain,
    ( spl2_1188
  <=> n13 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1188])]) ).

fof(f76,plain,
    n13 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f7370,plain,
    ~ spl2_1187,
    inference(avatar_split_clause,[],[f285,f7367]) ).

fof(f7367,plain,
    ( spl2_1187
  <=> n9 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1187])]) ).

fof(f285,plain,
    n9 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f7365,plain,
    spl2_1186,
    inference(avatar_split_clause,[],[f367,f7362]) ).

fof(f7362,plain,
    ( spl2_1186
  <=> n16 = sum(n22,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1186])]) ).

fof(f367,plain,
    n16 = sum(n22,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f7360,plain,
    spl2_1185,
    inference(avatar_split_clause,[],[f329,f7357]) ).

fof(f7357,plain,
    ( spl2_1185
  <=> n29 = sum(n18,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1185])]) ).

fof(f329,plain,
    n29 = sum(n18,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f7355,plain,
    ~ spl2_1184,
    inference(avatar_split_clause,[],[f229,f7352]) ).

fof(f7352,plain,
    ( spl2_1184
  <=> n15 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1184])]) ).

fof(f229,plain,
    n15 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f7350,plain,
    spl2_1183,
    inference(avatar_split_clause,[],[f977,f7347]) ).

fof(f7347,plain,
    ( spl2_1183
  <=> n19 = sum(n1,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1183])]) ).

fof(f977,plain,
    n19 = sum(n1,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f7345,plain,
    spl2_1182,
    inference(avatar_split_clause,[],[f953,f7342]) ).

fof(f7342,plain,
    ( spl2_1182
  <=> n5 = sum(n26,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1182])]) ).

fof(f953,plain,
    n5 = sum(n26,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f7340,plain,
    ~ spl2_1181,
    inference(avatar_split_clause,[],[f138,f7337]) ).

fof(f7337,plain,
    ( spl2_1181
  <=> n11 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1181])]) ).

fof(f138,plain,
    n11 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f7335,plain,
    spl2_1180,
    inference(avatar_split_clause,[],[f1486,f7332]) ).

fof(f7332,plain,
    ( spl2_1180
  <=> n28 = sum(n0,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1180])]) ).

fof(f1486,plain,
    n28 = sum(n0,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f7330,plain,
    spl2_1179,
    inference(avatar_split_clause,[],[f44,f7327]) ).

fof(f7327,plain,
    ( spl2_1179
  <=> n26 = sum(n11,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1179])]) ).

fof(f44,plain,
    n26 = sum(n11,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f7325,plain,
    ~ spl2_1178,
    inference(avatar_split_clause,[],[f659,f7322]) ).

fof(f7322,plain,
    ( spl2_1178
  <=> n7 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1178])]) ).

fof(f659,plain,
    n7 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f7320,plain,
    ~ spl2_1177,
    inference(avatar_split_clause,[],[f1381,f7317]) ).

fof(f7317,plain,
    ( spl2_1177
  <=> n5 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1177])]) ).

fof(f1381,plain,
    n5 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f7315,plain,
    spl2_1176,
    inference(avatar_split_clause,[],[f122,f7312]) ).

fof(f7312,plain,
    ( spl2_1176
  <=> n18 = sum(n20,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1176])]) ).

fof(f122,plain,
    n18 = sum(n20,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f7310,plain,
    spl2_1175,
    inference(avatar_split_clause,[],[f1096,f7307]) ).

fof(f7307,plain,
    ( spl2_1175
  <=> n2 = sum(n28,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1175])]) ).

fof(f1096,plain,
    n2 = sum(n28,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f7305,plain,
    ~ spl2_1174,
    inference(avatar_split_clause,[],[f45,f7302]) ).

fof(f7302,plain,
    ( spl2_1174
  <=> n4 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1174])]) ).

fof(f45,plain,
    n4 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f7300,plain,
    ~ spl2_1173,
    inference(avatar_split_clause,[],[f472,f7297]) ).

fof(f7297,plain,
    ( spl2_1173
  <=> n19 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1173])]) ).

fof(f472,plain,
    n19 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f7295,plain,
    spl2_1172,
    inference(avatar_split_clause,[],[f1401,f7292]) ).

fof(f7292,plain,
    ( spl2_1172
  <=> n29 = sum(n28,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1172])]) ).

fof(f1401,plain,
    n29 = sum(n28,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f7290,plain,
    spl2_1171,
    inference(avatar_split_clause,[],[f1118,f7287]) ).

fof(f7287,plain,
    ( spl2_1171
  <=> n8 = sum(n29,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1171])]) ).

fof(f1118,plain,
    n8 = sum(n29,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f7285,plain,
    spl2_1170,
    inference(avatar_split_clause,[],[f662,f7282]) ).

fof(f7282,plain,
    ( spl2_1170
  <=> n23 = sum(n14,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1170])]) ).

fof(f662,plain,
    n23 = sum(n14,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f7280,plain,
    spl2_1169,
    inference(avatar_split_clause,[],[f741,f7277]) ).

fof(f7277,plain,
    ( spl2_1169
  <=> n22 = sum(n27,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1169])]) ).

fof(f741,plain,
    n22 = sum(n27,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f7275,plain,
    ~ spl2_1168,
    inference(avatar_split_clause,[],[f503,f7272]) ).

fof(f7272,plain,
    ( spl2_1168
  <=> n14 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1168])]) ).

fof(f503,plain,
    n14 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f7270,plain,
    spl2_1167,
    inference(avatar_split_clause,[],[f684,f7267]) ).

fof(f7267,plain,
    ( spl2_1167
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1167])]) ).

fof(f684,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f7265,plain,
    spl2_1166,
    inference(avatar_split_clause,[],[f1265,f7262]) ).

fof(f7262,plain,
    ( spl2_1166
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1166])]) ).

fof(f1265,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f7260,plain,
    spl2_1165,
    inference(avatar_split_clause,[],[f670,f7257]) ).

fof(f7257,plain,
    ( spl2_1165
  <=> n2 = sum(n15,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1165])]) ).

fof(f670,plain,
    n2 = sum(n15,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f7255,plain,
    ~ spl2_1164,
    inference(avatar_split_clause,[],[f388,f7252]) ).

fof(f7252,plain,
    ( spl2_1164
  <=> n8 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1164])]) ).

fof(f388,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f7250,plain,
    ~ spl2_1163,
    inference(avatar_split_clause,[],[f370,f7247]) ).

fof(f7247,plain,
    ( spl2_1163
  <=> n1 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1163])]) ).

fof(f370,plain,
    n1 != n3,
    inference(cnf_transformation,[],[f4]) ).

fof(f7245,plain,
    ~ spl2_1162,
    inference(avatar_split_clause,[],[f995,f7242]) ).

fof(f7242,plain,
    ( spl2_1162
  <=> n21 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1162])]) ).

fof(f995,plain,
    n21 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f7240,plain,
    spl2_1161,
    inference(avatar_split_clause,[],[f1189,f7237]) ).

fof(f7237,plain,
    ( spl2_1161
  <=> n13 = sum(n23,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1161])]) ).

fof(f1189,plain,
    n13 = sum(n23,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f7235,plain,
    spl2_1160,
    inference(avatar_split_clause,[],[f925,f7232]) ).

fof(f7232,plain,
    ( spl2_1160
  <=> n0 = sum(n6,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1160])]) ).

fof(f925,plain,
    n0 = sum(n6,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f7230,plain,
    spl2_1159,
    inference(avatar_split_clause,[],[f1304,f7227]) ).

fof(f7227,plain,
    ( spl2_1159
  <=> n24 = sum(n25,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1159])]) ).

fof(f1304,plain,
    n24 = sum(n25,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f7225,plain,
    ~ spl2_1158,
    inference(avatar_split_clause,[],[f813,f7222]) ).

fof(f7222,plain,
    ( spl2_1158
  <=> n5 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1158])]) ).

fof(f813,plain,
    n5 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f7220,plain,
    spl2_1157,
    inference(avatar_split_clause,[],[f1384,f7217]) ).

fof(f7217,plain,
    ( spl2_1157
  <=> n25 = sum(n24,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1157])]) ).

fof(f1384,plain,
    n25 = sum(n24,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f7215,plain,
    spl2_1156,
    inference(avatar_split_clause,[],[f1444,f7212]) ).

fof(f7212,plain,
    ( spl2_1156
  <=> n21 = sum(n20,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1156])]) ).

fof(f1444,plain,
    n21 = sum(n20,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f7210,plain,
    spl2_1155,
    inference(avatar_split_clause,[],[f929,f7207]) ).

fof(f7207,plain,
    ( spl2_1155
  <=> n29 = sum(n24,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1155])]) ).

fof(f929,plain,
    n29 = sum(n24,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f7205,plain,
    spl2_1154,
    inference(avatar_split_clause,[],[f1318,f7202]) ).

fof(f7202,plain,
    ( spl2_1154
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1154])]) ).

fof(f1318,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f7200,plain,
    spl2_1153,
    inference(avatar_split_clause,[],[f254,f7197]) ).

fof(f7197,plain,
    ( spl2_1153
  <=> n29 = sum(n9,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1153])]) ).

fof(f254,plain,
    n29 = sum(n9,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f7195,plain,
    ~ spl2_1152,
    inference(avatar_split_clause,[],[f490,f7192]) ).

fof(f7192,plain,
    ( spl2_1152
  <=> n17 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1152])]) ).

fof(f490,plain,
    n17 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f7190,plain,
    spl2_1151,
    inference(avatar_split_clause,[],[f1240,f7187]) ).

fof(f7187,plain,
    ( spl2_1151
  <=> succ(n10) = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1151])]) ).

fof(f1240,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f7185,plain,
    spl2_1150,
    inference(avatar_split_clause,[],[f913,f7182]) ).

fof(f7182,plain,
    ( spl2_1150
  <=> n2 = sum(n27,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1150])]) ).

fof(f913,plain,
    n2 = sum(n27,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f7180,plain,
    spl2_1149,
    inference(avatar_split_clause,[],[f422,f7177]) ).

fof(f7177,plain,
    ( spl2_1149
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1149])]) ).

fof(f422,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f7175,plain,
    spl2_1148,
    inference(avatar_split_clause,[],[f736,f7172]) ).

fof(f7172,plain,
    ( spl2_1148
  <=> n3 = sum(n13,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1148])]) ).

fof(f736,plain,
    n3 = sum(n13,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f7170,plain,
    spl2_1147,
    inference(avatar_split_clause,[],[f905,f7167]) ).

fof(f7167,plain,
    ( spl2_1147
  <=> n8 = sum(n28,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1147])]) ).

fof(f905,plain,
    n8 = sum(n28,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f7165,plain,
    spl2_1146,
    inference(avatar_split_clause,[],[f861,f7162]) ).

fof(f7162,plain,
    ( spl2_1146
  <=> n13 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1146])]) ).

fof(f861,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f7160,plain,
    ~ spl2_1145,
    inference(avatar_split_clause,[],[f611,f7157]) ).

fof(f7157,plain,
    ( spl2_1145
  <=> n5 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1145])]) ).

fof(f611,plain,
    n5 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f7155,plain,
    spl2_1144,
    inference(avatar_split_clause,[],[f720,f7152]) ).

fof(f7152,plain,
    ( spl2_1144
  <=> n2 = sum(n24,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1144])]) ).

fof(f720,plain,
    n2 = sum(n24,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f7150,plain,
    spl2_1143,
    inference(avatar_split_clause,[],[f1092,f7147]) ).

fof(f7147,plain,
    ( spl2_1143
  <=> n23 = sum(n5,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1143])]) ).

fof(f1092,plain,
    n23 = sum(n5,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f7145,plain,
    spl2_1142,
    inference(avatar_split_clause,[],[f1372,f7142]) ).

fof(f7142,plain,
    ( spl2_1142
  <=> n11 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1142])]) ).

fof(f1372,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f7140,plain,
    spl2_1141,
    inference(avatar_split_clause,[],[f139,f7137]) ).

fof(f7137,plain,
    ( spl2_1141
  <=> n18 = sum(n11,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1141])]) ).

fof(f139,plain,
    n18 = sum(n11,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f7135,plain,
    spl2_1140,
    inference(avatar_split_clause,[],[f560,f7132]) ).

fof(f7132,plain,
    ( spl2_1140
  <=> n11 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1140])]) ).

fof(f560,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f7130,plain,
    spl2_1139,
    inference(avatar_split_clause,[],[f601,f7127]) ).

fof(f7127,plain,
    ( spl2_1139
  <=> n20 = sum(n0,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1139])]) ).

fof(f601,plain,
    n20 = sum(n0,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f7125,plain,
    spl2_1138,
    inference(avatar_split_clause,[],[f1334,f7122]) ).

fof(f7122,plain,
    ( spl2_1138
  <=> n24 = sum(n4,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1138])]) ).

fof(f1334,plain,
    n24 = sum(n4,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f7120,plain,
    spl2_1137,
    inference(avatar_split_clause,[],[f508,f7117]) ).

fof(f7117,plain,
    ( spl2_1137
  <=> n4 = sum(n17,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1137])]) ).

fof(f508,plain,
    n4 = sum(n17,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f7115,plain,
    spl2_1136,
    inference(avatar_split_clause,[],[f792,f7112]) ).

fof(f7112,plain,
    ( spl2_1136
  <=> n4 = sum(n26,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1136])]) ).

fof(f792,plain,
    n4 = sum(n26,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f7110,plain,
    spl2_1135,
    inference(avatar_split_clause,[],[f1307,f7107]) ).

fof(f7107,plain,
    ( spl2_1135
  <=> n0 = sum(n19,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1135])]) ).

fof(f1307,plain,
    n0 = sum(n19,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f7105,plain,
    ~ spl2_1134,
    inference(avatar_split_clause,[],[f602,f7102]) ).

fof(f7102,plain,
    ( spl2_1134
  <=> n14 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1134])]) ).

fof(f602,plain,
    n14 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f7100,plain,
    ~ spl2_1133,
    inference(avatar_split_clause,[],[f1351,f7097]) ).

fof(f7097,plain,
    ( spl2_1133
  <=> n4 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1133])]) ).

fof(f1351,plain,
    n4 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f7095,plain,
    spl2_1132,
    inference(avatar_split_clause,[],[f191,f7092]) ).

fof(f7092,plain,
    ( spl2_1132
  <=> n22 = sum(n20,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1132])]) ).

fof(f191,plain,
    n22 = sum(n20,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f7090,plain,
    spl2_1131,
    inference(avatar_split_clause,[],[f287,f7087]) ).

fof(f7087,plain,
    ( spl2_1131
  <=> n25 = sum(n14,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1131])]) ).

fof(f287,plain,
    n25 = sum(n14,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f7085,plain,
    spl2_1130,
    inference(avatar_split_clause,[],[f1053,f7082]) ).

fof(f7082,plain,
    ( spl2_1130
  <=> n19 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1130])]) ).

fof(f1053,plain,
    n19 = sum(n10,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f7080,plain,
    ~ spl2_1129,
    inference(avatar_split_clause,[],[f960,f7077]) ).

fof(f7077,plain,
    ( spl2_1129
  <=> n25 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1129])]) ).

fof(f960,plain,
    n25 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f7075,plain,
    spl2_1128,
    inference(avatar_split_clause,[],[f1392,f7072]) ).

fof(f7072,plain,
    ( spl2_1128
  <=> n21 = sum(n10,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1128])]) ).

fof(f1392,plain,
    n21 = sum(n10,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f7070,plain,
    spl2_1127,
    inference(avatar_split_clause,[],[f1023,f7067]) ).

fof(f7067,plain,
    ( spl2_1127
  <=> succ(n13) = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1127])]) ).

fof(f1023,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f7065,plain,
    spl2_1126,
    inference(avatar_split_clause,[],[f247,f7062]) ).

fof(f7062,plain,
    ( spl2_1126
  <=> n7 = sum(n21,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1126])]) ).

fof(f247,plain,
    n7 = sum(n21,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f7060,plain,
    spl2_1125,
    inference(avatar_split_clause,[],[f131,f7057]) ).

fof(f7057,plain,
    ( spl2_1125
  <=> n23 = sum(n1,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1125])]) ).

fof(f131,plain,
    n23 = sum(n1,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f7055,plain,
    spl2_1124,
    inference(avatar_split_clause,[],[f623,f7052]) ).

fof(f7052,plain,
    ( spl2_1124
  <=> n12 = sum(n17,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1124])]) ).

fof(f623,plain,
    n12 = sum(n17,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f7050,plain,
    spl2_1123,
    inference(avatar_split_clause,[],[f315,f7047]) ).

fof(f7047,plain,
    ( spl2_1123
  <=> n12 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1123])]) ).

fof(f315,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f7045,plain,
    spl2_1122,
    inference(avatar_split_clause,[],[f70,f7042]) ).

fof(f7042,plain,
    ( spl2_1122
  <=> n21 = sum(n18,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1122])]) ).

fof(f70,plain,
    n21 = sum(n18,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f7040,plain,
    spl2_1121,
    inference(avatar_split_clause,[],[f256,f7037]) ).

fof(f7037,plain,
    ( spl2_1121
  <=> n14 = sum(n27,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1121])]) ).

fof(f256,plain,
    n14 = sum(n27,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f7035,plain,
    ~ spl2_1120,
    inference(avatar_split_clause,[],[f856,f7032]) ).

fof(f7032,plain,
    ( spl2_1120
  <=> n1 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1120])]) ).

fof(f856,plain,
    n1 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f7030,plain,
    spl2_1119,
    inference(avatar_split_clause,[],[f941,f7027]) ).

fof(f7027,plain,
    ( spl2_1119
  <=> n23 = sum(n18,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1119])]) ).

fof(f941,plain,
    n23 = sum(n18,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f7025,plain,
    ~ spl2_1118,
    inference(avatar_split_clause,[],[f236,f7022]) ).

fof(f7022,plain,
    ( spl2_1118
  <=> n8 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1118])]) ).

fof(f236,plain,
    n8 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f7020,plain,
    spl2_1117,
    inference(avatar_split_clause,[],[f327,f7017]) ).

fof(f7017,plain,
    ( spl2_1117
  <=> n23 = sum(n23,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1117])]) ).

fof(f327,plain,
    n23 = sum(n23,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f7015,plain,
    spl2_1116,
    inference(avatar_split_clause,[],[f258,f7012]) ).

fof(f7012,plain,
    ( spl2_1116
  <=> n5 = sum(n20,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1116])]) ).

fof(f258,plain,
    n5 = sum(n20,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f7010,plain,
    spl2_1115,
    inference(avatar_split_clause,[],[f117,f7007]) ).

fof(f7007,plain,
    ( spl2_1115
  <=> n27 = sum(n27,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1115])]) ).

fof(f117,plain,
    n27 = sum(n27,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f7005,plain,
    spl2_1114,
    inference(avatar_split_clause,[],[f562,f7002]) ).

fof(f7002,plain,
    ( spl2_1114
  <=> n30 = sum(n10,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1114])]) ).

fof(f562,plain,
    n30 = sum(n10,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f7000,plain,
    spl2_1113,
    inference(avatar_split_clause,[],[f1253,f6997]) ).

fof(f6997,plain,
    ( spl2_1113
  <=> n12 = sum(n26,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1113])]) ).

fof(f1253,plain,
    n12 = sum(n26,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f6995,plain,
    ~ spl2_1112,
    inference(avatar_split_clause,[],[f691,f6992]) ).

fof(f6992,plain,
    ( spl2_1112
  <=> n27 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1112])]) ).

fof(f691,plain,
    n27 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f6990,plain,
    spl2_1111,
    inference(avatar_split_clause,[],[f1306,f6987]) ).

fof(f6987,plain,
    ( spl2_1111
  <=> n19 = sum(n11,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1111])]) ).

fof(f1306,plain,
    n19 = sum(n11,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f6985,plain,
    spl2_1110,
    inference(avatar_split_clause,[],[f1241,f6982]) ).

fof(f6982,plain,
    ( spl2_1110
  <=> n5 = sum(n28,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1110])]) ).

fof(f1241,plain,
    n5 = sum(n28,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f6980,plain,
    spl2_1109,
    inference(avatar_split_clause,[],[f130,f6977]) ).

fof(f6977,plain,
    ( spl2_1109
  <=> n14 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1109])]) ).

fof(f130,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f6975,plain,
    spl2_1108,
    inference(avatar_split_clause,[],[f340,f6972]) ).

fof(f6972,plain,
    ( spl2_1108
  <=> n4 = sum(n16,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1108])]) ).

fof(f340,plain,
    n4 = sum(n16,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f6970,plain,
    spl2_1107,
    inference(avatar_split_clause,[],[f920,f6967]) ).

fof(f6967,plain,
    ( spl2_1107
  <=> n28 = sum(n16,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1107])]) ).

fof(f920,plain,
    n28 = sum(n16,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f6965,plain,
    spl2_1106,
    inference(avatar_split_clause,[],[f548,f6962]) ).

fof(f6962,plain,
    ( spl2_1106
  <=> n10 = sum(n24,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1106])]) ).

fof(f548,plain,
    n10 = sum(n24,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f6960,plain,
    spl2_1105,
    inference(avatar_split_clause,[],[f1361,f6957]) ).

fof(f6957,plain,
    ( spl2_1105
  <=> n22 = sum(n23,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1105])]) ).

fof(f1361,plain,
    n22 = sum(n23,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f6955,plain,
    spl2_1104,
    inference(avatar_split_clause,[],[f540,f6952]) ).

fof(f6952,plain,
    ( spl2_1104
  <=> n1 = sum(n30,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1104])]) ).

fof(f540,plain,
    n1 = sum(n30,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f6950,plain,
    ~ spl2_1103,
    inference(avatar_split_clause,[],[f1115,f6947]) ).

fof(f6947,plain,
    ( spl2_1103
  <=> n14 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1103])]) ).

fof(f1115,plain,
    n14 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f6945,plain,
    spl2_1102,
    inference(avatar_split_clause,[],[f1296,f6942]) ).

fof(f6942,plain,
    ( spl2_1102
  <=> n12 = sum(n13,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1102])]) ).

fof(f1296,plain,
    n12 = sum(n13,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f6940,plain,
    ~ spl2_1101,
    inference(avatar_split_clause,[],[f1272,f6937]) ).

fof(f6937,plain,
    ( spl2_1101
  <=> n8 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1101])]) ).

fof(f1272,plain,
    n8 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f6935,plain,
    spl2_1100,
    inference(avatar_split_clause,[],[f704,f6932]) ).

fof(f6932,plain,
    ( spl2_1100
  <=> n4 = sum(n8,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1100])]) ).

fof(f704,plain,
    n4 = sum(n8,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f6930,plain,
    ~ spl2_1099,
    inference(avatar_split_clause,[],[f663,f6927]) ).

fof(f6927,plain,
    ( spl2_1099
  <=> n11 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1099])]) ).

fof(f663,plain,
    n11 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f6925,plain,
    spl2_1098,
    inference(avatar_split_clause,[],[f899,f6922]) ).

fof(f6922,plain,
    ( spl2_1098
  <=> n11 = sum(n11,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1098])]) ).

fof(f899,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f6920,plain,
    ~ spl2_1097,
    inference(avatar_split_clause,[],[f1308,f6917]) ).

fof(f6917,plain,
    ( spl2_1097
  <=> n15 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1097])]) ).

fof(f1308,plain,
    n15 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f6915,plain,
    spl2_1096,
    inference(avatar_split_clause,[],[f830,f6912]) ).

fof(f6912,plain,
    ( spl2_1096
  <=> n10 = sum(n23,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1096])]) ).

fof(f830,plain,
    n10 = sum(n23,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f6910,plain,
    spl2_1095,
    inference(avatar_split_clause,[],[f1275,f6907]) ).

fof(f6907,plain,
    ( spl2_1095
  <=> n24 = sum(n16,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1095])]) ).

fof(f1275,plain,
    n24 = sum(n16,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f6905,plain,
    ~ spl2_1094,
    inference(avatar_split_clause,[],[f342,f6902]) ).

fof(f6902,plain,
    ( spl2_1094
  <=> n16 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1094])]) ).

fof(f342,plain,
    n16 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f6900,plain,
    ~ spl2_1093,
    inference(avatar_split_clause,[],[f1397,f6897]) ).

fof(f6897,plain,
    ( spl2_1093
  <=> n24 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1093])]) ).

fof(f1397,plain,
    n24 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f6895,plain,
    ~ spl2_1092,
    inference(avatar_split_clause,[],[f1252,f6892]) ).

fof(f6892,plain,
    ( spl2_1092
  <=> n11 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1092])]) ).

fof(f1252,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f6890,plain,
    spl2_1091,
    inference(avatar_split_clause,[],[f713,f6887]) ).

fof(f6887,plain,
    ( spl2_1091
  <=> n25 = sum(n27,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1091])]) ).

fof(f713,plain,
    n25 = sum(n27,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f6885,plain,
    spl2_1090,
    inference(avatar_split_clause,[],[f1235,f6882]) ).

fof(f6882,plain,
    ( spl2_1090
  <=> n19 = sum(n30,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1090])]) ).

fof(f1235,plain,
    n19 = sum(n30,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f6880,plain,
    spl2_1089,
    inference(avatar_split_clause,[],[f91,f6877]) ).

fof(f6877,plain,
    ( spl2_1089
  <=> n2 = sum(n4,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1089])]) ).

fof(f91,plain,
    n2 = sum(n4,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f6875,plain,
    spl2_1088,
    inference(avatar_split_clause,[],[f1217,f6872]) ).

fof(f6872,plain,
    ( spl2_1088
  <=> n9 = sum(n27,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1088])]) ).

fof(f1217,plain,
    n9 = sum(n27,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f6870,plain,
    spl2_1087,
    inference(avatar_split_clause,[],[f958,f6867]) ).

fof(f6867,plain,
    ( spl2_1087
  <=> n20 = sum(n23,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1087])]) ).

fof(f958,plain,
    n20 = sum(n23,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f6865,plain,
    spl2_1086,
    inference(avatar_split_clause,[],[f648,f6862]) ).

fof(f6862,plain,
    ( spl2_1086
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1086])]) ).

fof(f648,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f6860,plain,
    spl2_1085,
    inference(avatar_split_clause,[],[f1007,f6857]) ).

fof(f6857,plain,
    ( spl2_1085
  <=> n5 = sum(n11,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1085])]) ).

fof(f1007,plain,
    n5 = sum(n11,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f6855,plain,
    spl2_1084,
    inference(avatar_split_clause,[],[f1151,f6852]) ).

fof(f6852,plain,
    ( spl2_1084
  <=> n4 = sum(n14,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1084])]) ).

fof(f1151,plain,
    n4 = sum(n14,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f6850,plain,
    spl2_1083,
    inference(avatar_split_clause,[],[f354,f6847]) ).

fof(f6847,plain,
    ( spl2_1083
  <=> n13 = sum(n2,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1083])]) ).

fof(f354,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f6845,plain,
    spl2_1082,
    inference(avatar_split_clause,[],[f1268,f6842]) ).

fof(f6842,plain,
    ( spl2_1082
  <=> n8 = sum(n13,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1082])]) ).

fof(f1268,plain,
    n8 = sum(n13,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f6840,plain,
    spl2_1081,
    inference(avatar_split_clause,[],[f1359,f6837]) ).

fof(f6837,plain,
    ( spl2_1081
  <=> n11 = sum(n25,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1081])]) ).

fof(f1359,plain,
    n11 = sum(n25,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f6835,plain,
    spl2_1080,
    inference(avatar_split_clause,[],[f1074,f6832]) ).

fof(f6832,plain,
    ( spl2_1080
  <=> n26 = sum(n9,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1080])]) ).

fof(f1074,plain,
    n26 = sum(n9,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f6830,plain,
    spl2_1079,
    inference(avatar_split_clause,[],[f853,f6827]) ).

fof(f6827,plain,
    ( spl2_1079
  <=> n1 = sum(n17,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1079])]) ).

fof(f853,plain,
    n1 = sum(n17,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f6825,plain,
    ~ spl2_1078,
    inference(avatar_split_clause,[],[f898,f6822]) ).

fof(f6822,plain,
    ( spl2_1078
  <=> n25 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1078])]) ).

fof(f898,plain,
    n25 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f6820,plain,
    ~ spl2_1077,
    inference(avatar_split_clause,[],[f788,f6817]) ).

fof(f6817,plain,
    ( spl2_1077
  <=> n7 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1077])]) ).

fof(f788,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f6815,plain,
    spl2_1076,
    inference(avatar_split_clause,[],[f160,f6812]) ).

fof(f6812,plain,
    ( spl2_1076
  <=> n10 = pred(n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1076])]) ).

fof(f160,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f6810,plain,
    spl2_1075,
    inference(avatar_split_clause,[],[f208,f6807]) ).

fof(f6807,plain,
    ( spl2_1075
  <=> n16 = sum(n12,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1075])]) ).

fof(f208,plain,
    n16 = sum(n12,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f6805,plain,
    ~ spl2_1074,
    inference(avatar_split_clause,[],[f1015,f6802]) ).

fof(f6802,plain,
    ( spl2_1074
  <=> n1 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1074])]) ).

fof(f1015,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f4]) ).

fof(f6800,plain,
    ~ spl2_1073,
    inference(avatar_split_clause,[],[f295,f6797]) ).

fof(f6797,plain,
    ( spl2_1073
  <=> n7 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1073])]) ).

fof(f295,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f6795,plain,
    spl2_1072,
    inference(avatar_split_clause,[],[f1298,f6792]) ).

fof(f6792,plain,
    ( spl2_1072
  <=> n22 = sum(n26,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1072])]) ).

fof(f1298,plain,
    n22 = sum(n26,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f6790,plain,
    spl2_1071,
    inference(avatar_split_clause,[],[f226,f6787]) ).

fof(f6787,plain,
    ( spl2_1071
  <=> n14 = sum(n21,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1071])]) ).

fof(f226,plain,
    n14 = sum(n21,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f6785,plain,
    spl2_1070,
    inference(avatar_split_clause,[],[f48,f6782]) ).

fof(f6782,plain,
    ( spl2_1070
  <=> n19 = sum(n13,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1070])]) ).

fof(f48,plain,
    n19 = sum(n13,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f6780,plain,
    ~ spl2_1069,
    inference(avatar_split_clause,[],[f72,f6777]) ).

fof(f6777,plain,
    ( spl2_1069
  <=> n3 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1069])]) ).

fof(f72,plain,
    n3 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f6775,plain,
    spl2_1068,
    inference(avatar_split_clause,[],[f771,f6772]) ).

fof(f6772,plain,
    ( spl2_1068
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1068])]) ).

fof(f771,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f6770,plain,
    spl2_1067,
    inference(avatar_split_clause,[],[f1465,f6767]) ).

fof(f6767,plain,
    ( spl2_1067
  <=> n26 = sum(n4,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1067])]) ).

fof(f1465,plain,
    n26 = sum(n4,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f6765,plain,
    spl2_1066,
    inference(avatar_split_clause,[],[f1257,f6762]) ).

fof(f6762,plain,
    ( spl2_1066
  <=> n4 = sum(n18,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1066])]) ).

fof(f1257,plain,
    n4 = sum(n18,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f6760,plain,
    ~ spl2_1065,
    inference(avatar_split_clause,[],[f883,f6757]) ).

fof(f6757,plain,
    ( spl2_1065
  <=> n3 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1065])]) ).

fof(f883,plain,
    n3 != n4,
    inference(cnf_transformation,[],[f4]) ).

fof(f6755,plain,
    spl2_1064,
    inference(avatar_split_clause,[],[f283,f6752]) ).

fof(f6752,plain,
    ( spl2_1064
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1064])]) ).

fof(f283,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f6750,plain,
    spl2_1063,
    inference(avatar_split_clause,[],[f337,f6747]) ).

fof(f6747,plain,
    ( spl2_1063
  <=> n3 = sum(n5,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1063])]) ).

fof(f337,plain,
    n3 = sum(n5,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f6745,plain,
    ~ spl2_1062,
    inference(avatar_split_clause,[],[f1491,f6742]) ).

fof(f6742,plain,
    ( spl2_1062
  <=> n2 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1062])]) ).

fof(f1491,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f6740,plain,
    spl2_1061,
    inference(avatar_split_clause,[],[f1320,f6737]) ).

fof(f6737,plain,
    ( spl2_1061
  <=> n4 = sum(n10,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1061])]) ).

fof(f1320,plain,
    n4 = sum(n10,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f6735,plain,
    ~ spl2_1060,
    inference(avatar_split_clause,[],[f1021,f6732]) ).

fof(f6732,plain,
    ( spl2_1060
  <=> n4 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1060])]) ).

fof(f1021,plain,
    n4 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f6730,plain,
    spl2_1059,
    inference(avatar_split_clause,[],[f907,f6727]) ).

fof(f6727,plain,
    ( spl2_1059
  <=> n25 = sum(n22,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1059])]) ).

fof(f907,plain,
    n25 = sum(n22,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f6725,plain,
    ~ spl2_1058,
    inference(avatar_split_clause,[],[f492,f6722]) ).

fof(f6722,plain,
    ( spl2_1058
  <=> n3 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1058])]) ).

fof(f492,plain,
    n3 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f6720,plain,
    spl2_1057,
    inference(avatar_split_clause,[],[f585,f6717]) ).

fof(f6717,plain,
    ( spl2_1057
  <=> succ(n17) = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1057])]) ).

fof(f585,plain,
    succ(n17) = n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f6715,plain,
    spl2_1056,
    inference(avatar_split_clause,[],[f1138,f6712]) ).

fof(f6712,plain,
    ( spl2_1056
  <=> n25 = sum(n5,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1056])]) ).

fof(f1138,plain,
    n25 = sum(n5,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f6710,plain,
    ~ spl2_1055,
    inference(avatar_split_clause,[],[f796,f6707]) ).

fof(f6707,plain,
    ( spl2_1055
  <=> n13 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1055])]) ).

fof(f796,plain,
    n13 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f6705,plain,
    spl2_1054,
    inference(avatar_split_clause,[],[f1454,f6702]) ).

fof(f6702,plain,
    ( spl2_1054
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1054])]) ).

fof(f1454,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f4]) ).

fof(f6700,plain,
    spl2_1053,
    inference(avatar_split_clause,[],[f381,f6697]) ).

fof(f6697,plain,
    ( spl2_1053
  <=> n15 = sum(n20,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1053])]) ).

fof(f381,plain,
    n15 = sum(n20,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f6695,plain,
    ~ spl2_1052,
    inference(avatar_split_clause,[],[f1209,f6692]) ).

fof(f6692,plain,
    ( spl2_1052
  <=> n8 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1052])]) ).

fof(f1209,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f6690,plain,
    ~ spl2_1051,
    inference(avatar_split_clause,[],[f157,f6687]) ).

fof(f6687,plain,
    ( spl2_1051
  <=> n3 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1051])]) ).

fof(f157,plain,
    n3 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f6685,plain,
    ~ spl2_1050,
    inference(avatar_split_clause,[],[f798,f6682]) ).

fof(f6682,plain,
    ( spl2_1050
  <=> n1 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1050])]) ).

fof(f798,plain,
    n1 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f6680,plain,
    ~ spl2_1049,
    inference(avatar_split_clause,[],[f1375,f6677]) ).

fof(f6677,plain,
    ( spl2_1049
  <=> n12 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1049])]) ).

fof(f1375,plain,
    n12 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f6675,plain,
    spl2_1048,
    inference(avatar_split_clause,[],[f600,f6672]) ).

fof(f6672,plain,
    ( spl2_1048
  <=> n9 = sum(n10,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1048])]) ).

fof(f600,plain,
    n9 = sum(n10,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f6670,plain,
    ~ spl2_1047,
    inference(avatar_split_clause,[],[f1376,f6667]) ).

fof(f6667,plain,
    ( spl2_1047
  <=> n16 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1047])]) ).

fof(f1376,plain,
    n16 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f6665,plain,
    ( spl2_1016
    | spl2_1017
    | spl2_1018
    | spl2_1019
    | spl2_1020
    | spl2_1021
    | spl2_1022
    | spl2_1023
    | spl2_1024
    | spl2_1025
    | spl2_1026
    | spl2_1027
    | spl2_1028
    | spl2_1029
    | spl2_1030
    | spl2_1031
    | spl2_1032
    | spl2_1033
    | spl2_1034
    | spl2_1035
    | spl2_1036
    | spl2_1037
    | spl2_1038
    | spl2_1039
    | spl2_1040
    | spl2_1041
    | spl2_1042
    | spl2_1043
    | spl2_1044
    | spl2_1045
    | spl2_1046 ),
    inference(avatar_split_clause,[],[f1233,f6662,f6658,f6654,f6650,f6646,f6642,f6638,f6634,f6630,f6626,f6622,f6618,f6614,f6610,f6606,f6602,f6598,f6594,f6590,f6586,f6582,f6578,f6574,f6570,f6566,f6562,f6558,f6554,f6550,f6546,f6542]) ).

fof(f6542,plain,
    ( spl2_1016
  <=> n30 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1016])]) ).

fof(f6546,plain,
    ( spl2_1017
  <=> n14 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1017])]) ).

fof(f6550,plain,
    ( spl2_1018
  <=> n23 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1018])]) ).

fof(f6554,plain,
    ( spl2_1019
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1019])]) ).

fof(f6558,plain,
    ( spl2_1020
  <=> n12 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1020])]) ).

fof(f6562,plain,
    ( spl2_1021
  <=> n19 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1021])]) ).

fof(f6566,plain,
    ( spl2_1022
  <=> n16 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1022])]) ).

fof(f6570,plain,
    ( spl2_1023
  <=> n4 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1023])]) ).

fof(f6574,plain,
    ( spl2_1024
  <=> n10 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1024])]) ).

fof(f6578,plain,
    ( spl2_1025
  <=> n8 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1025])]) ).

fof(f6582,plain,
    ( spl2_1026
  <=> n9 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1026])]) ).

fof(f6586,plain,
    ( spl2_1027
  <=> n25 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1027])]) ).

fof(f6590,plain,
    ( spl2_1028
  <=> n21 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1028])]) ).

fof(f6594,plain,
    ( spl2_1029
  <=> n24 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1029])]) ).

fof(f6598,plain,
    ( spl2_1030
  <=> n20 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1030])]) ).

fof(f6602,plain,
    ( spl2_1031
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1031])]) ).

fof(f6606,plain,
    ( spl2_1032
  <=> n15 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1032])]) ).

fof(f6610,plain,
    ( spl2_1033
  <=> n17 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1033])]) ).

fof(f6614,plain,
    ( spl2_1034
  <=> n26 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1034])]) ).

fof(f6618,plain,
    ( spl2_1035
  <=> n29 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1035])]) ).

fof(f6622,plain,
    ( spl2_1036
  <=> n6 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1036])]) ).

fof(f6626,plain,
    ( spl2_1037
  <=> n5 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1037])]) ).

fof(f6630,plain,
    ( spl2_1038
  <=> n22 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1038])]) ).

fof(f6634,plain,
    ( spl2_1039
  <=> n3 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1039])]) ).

fof(f6638,plain,
    ( spl2_1040
  <=> n11 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1040])]) ).

fof(f6642,plain,
    ( spl2_1041
  <=> n7 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1041])]) ).

fof(f6646,plain,
    ( spl2_1042
  <=> n28 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1042])]) ).

fof(f6650,plain,
    ( spl2_1043
  <=> n13 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1043])]) ).

fof(f6654,plain,
    ( spl2_1044
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1044])]) ).

fof(f6658,plain,
    ( spl2_1045
  <=> n27 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1045])]) ).

fof(f6662,plain,
    ( spl2_1046
  <=> n18 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1046])]) ).

fof(f1233,plain,
    ( n18 = sK0
    | n27 = sK0
    | n1 = sK0
    | n13 = sK0
    | n28 = sK0
    | n7 = sK0
    | n11 = sK0
    | n3 = sK0
    | n22 = sK0
    | n5 = sK0
    | n6 = sK0
    | n29 = sK0
    | n26 = sK0
    | n17 = sK0
    | n15 = sK0
    | n2 = sK0
    | n20 = sK0
    | n24 = sK0
    | n21 = sK0
    | n25 = sK0
    | n9 = sK0
    | n8 = sK0
    | n10 = sK0
    | n4 = sK0
    | n16 = sK0
    | n19 = sK0
    | n12 = sK0
    | n0 = sK0
    | n23 = sK0
    | n14 = sK0
    | n30 = sK0 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f6540,plain,
    ~ spl2_1015,
    inference(avatar_split_clause,[],[f456,f6537]) ).

fof(f6537,plain,
    ( spl2_1015
  <=> n14 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1015])]) ).

fof(f456,plain,
    n14 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f6535,plain,
    spl2_1014,
    inference(avatar_split_clause,[],[f401,f6532]) ).

fof(f6532,plain,
    ( spl2_1014
  <=> n14 = sum(n12,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1014])]) ).

fof(f401,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f6530,plain,
    ~ spl2_1013,
    inference(avatar_split_clause,[],[f87,f6527]) ).

fof(f6527,plain,
    ( spl2_1013
  <=> n4 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1013])]) ).

fof(f87,plain,
    n4 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f6525,plain,
    spl2_1012,
    inference(avatar_split_clause,[],[f561,f6522]) ).

fof(f6522,plain,
    ( spl2_1012
  <=> n24 = sum(n18,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1012])]) ).

fof(f561,plain,
    n24 = sum(n18,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f6520,plain,
    spl2_1011,
    inference(avatar_split_clause,[],[f1079,f6517]) ).

fof(f6517,plain,
    ( spl2_1011
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1011])]) ).

fof(f1079,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f6515,plain,
    spl2_1010,
    inference(avatar_split_clause,[],[f491,f6512]) ).

fof(f6512,plain,
    ( spl2_1010
  <=> n9 = sum(n17,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1010])]) ).

fof(f491,plain,
    n9 = sum(n17,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f6510,plain,
    spl2_1009,
    inference(avatar_split_clause,[],[f1160,f6507]) ).

fof(f6507,plain,
    ( spl2_1009
  <=> n21 = sum(n14,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1009])]) ).

fof(f1160,plain,
    n21 = sum(n14,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f6505,plain,
    spl2_1008,
    inference(avatar_split_clause,[],[f1415,f6502]) ).

fof(f6502,plain,
    ( spl2_1008
  <=> n19 = sum(n27,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1008])]) ).

fof(f1415,plain,
    n19 = sum(n27,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f6500,plain,
    ~ spl2_1007,
    inference(avatar_split_clause,[],[f323,f6497]) ).

fof(f6497,plain,
    ( spl2_1007
  <=> n6 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1007])]) ).

fof(f323,plain,
    n6 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f6495,plain,
    spl2_1006,
    inference(avatar_split_clause,[],[f493,f6492]) ).

fof(f6492,plain,
    ( spl2_1006
  <=> n9 = sum(n16,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1006])]) ).

fof(f493,plain,
    n9 = sum(n16,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f6490,plain,
    ~ spl2_1005,
    inference(avatar_split_clause,[],[f505,f6487]) ).

fof(f6487,plain,
    ( spl2_1005
  <=> n7 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1005])]) ).

fof(f505,plain,
    n7 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f6485,plain,
    ~ spl2_1004,
    inference(avatar_split_clause,[],[f300,f6482]) ).

fof(f6482,plain,
    ( spl2_1004
  <=> n24 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1004])]) ).

fof(f300,plain,
    n24 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f6480,plain,
    spl2_1003,
    inference(avatar_split_clause,[],[f1014,f6477]) ).

fof(f6477,plain,
    ( spl2_1003
  <=> n20 = sum(n19,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1003])]) ).

fof(f1014,plain,
    n20 = sum(n19,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f6475,plain,
    spl2_1002,
    inference(avatar_split_clause,[],[f141,f6472]) ).

fof(f6472,plain,
    ( spl2_1002
  <=> n15 = sum(n18,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1002])]) ).

fof(f141,plain,
    n15 = sum(n18,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f6470,plain,
    ~ spl2_1001,
    inference(avatar_split_clause,[],[f204,f6467]) ).

fof(f6467,plain,
    ( spl2_1001
  <=> n8 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1001])]) ).

fof(f204,plain,
    n8 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f6465,plain,
    spl2_1000,
    inference(avatar_split_clause,[],[f858,f6462]) ).

fof(f6462,plain,
    ( spl2_1000
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1000])]) ).

fof(f858,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f6460,plain,
    spl2_999,
    inference(avatar_split_clause,[],[f393,f6457]) ).

fof(f6457,plain,
    ( spl2_999
  <=> n21 = sum(n19,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_999])]) ).

fof(f393,plain,
    n21 = sum(n19,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f6455,plain,
    ~ spl2_998,
    inference(avatar_split_clause,[],[f1400,f6452]) ).

fof(f6452,plain,
    ( spl2_998
  <=> n9 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_998])]) ).

fof(f1400,plain,
    n9 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f6450,plain,
    spl2_997,
    inference(avatar_split_clause,[],[f759,f6447]) ).

fof(f6447,plain,
    ( spl2_997
  <=> n28 = sum(n4,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_997])]) ).

fof(f759,plain,
    n28 = sum(n4,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f6445,plain,
    spl2_996,
    inference(avatar_split_clause,[],[f53,f6442]) ).

fof(f6442,plain,
    ( spl2_996
  <=> n12 = sum(n1,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_996])]) ).

fof(f53,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f6440,plain,
    spl2_995,
    inference(avatar_split_clause,[],[f1437,f6437]) ).

fof(f6437,plain,
    ( spl2_995
  <=> n4 = sum(n5,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_995])]) ).

fof(f1437,plain,
    n4 = sum(n5,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f6435,plain,
    ~ spl2_994,
    inference(avatar_split_clause,[],[f982,f6432]) ).

fof(f6432,plain,
    ( spl2_994
  <=> n24 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_994])]) ).

fof(f982,plain,
    n24 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f6430,plain,
    spl2_993,
    inference(avatar_split_clause,[],[f1051,f6427]) ).

fof(f6427,plain,
    ( spl2_993
  <=> n13 = sum(n1,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_993])]) ).

fof(f1051,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f6425,plain,
    spl2_992,
    inference(avatar_split_clause,[],[f1065,f6422]) ).

fof(f6422,plain,
    ( spl2_992
  <=> n0 = sum(n24,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_992])]) ).

fof(f1065,plain,
    n0 = sum(n24,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f6420,plain,
    spl2_991,
    inference(avatar_split_clause,[],[f1291,f6417]) ).

fof(f6417,plain,
    ( spl2_991
  <=> n30 = sum(n5,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_991])]) ).

fof(f1291,plain,
    n30 = sum(n5,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f6415,plain,
    spl2_990,
    inference(avatar_split_clause,[],[f887,f6412]) ).

fof(f6412,plain,
    ( spl2_990
  <=> n0 = sum(n17,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_990])]) ).

fof(f887,plain,
    n0 = sum(n17,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f6410,plain,
    spl2_989,
    inference(avatar_split_clause,[],[f732,f6407]) ).

fof(f6407,plain,
    ( spl2_989
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_989])]) ).

fof(f732,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f4]) ).

fof(f6405,plain,
    spl2_988,
    inference(avatar_split_clause,[],[f1136,f6402]) ).

fof(f6402,plain,
    ( spl2_988
  <=> n8 = sum(n10,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_988])]) ).

fof(f1136,plain,
    n8 = sum(n10,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f6400,plain,
    ~ spl2_987,
    inference(avatar_split_clause,[],[f629,f6397]) ).

fof(f6397,plain,
    ( spl2_987
  <=> n9 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_987])]) ).

fof(f629,plain,
    n9 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f6395,plain,
    spl2_986,
    inference(avatar_split_clause,[],[f1432,f6392]) ).

fof(f6392,plain,
    ( spl2_986
  <=> n2 = sum(n22,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_986])]) ).

fof(f1432,plain,
    n2 = sum(n22,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f6390,plain,
    spl2_985,
    inference(avatar_split_clause,[],[f592,f6387]) ).

fof(f6387,plain,
    ( spl2_985
  <=> n23 = sum(n6,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_985])]) ).

fof(f592,plain,
    n23 = sum(n6,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f6385,plain,
    spl2_984,
    inference(avatar_split_clause,[],[f1166,f6382]) ).

fof(f6382,plain,
    ( spl2_984
  <=> n29 = sum(n30,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_984])]) ).

fof(f1166,plain,
    n29 = sum(n30,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f6380,plain,
    spl2_983,
    inference(avatar_split_clause,[],[f235,f6377]) ).

fof(f6377,plain,
    ( spl2_983
  <=> n15 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_983])]) ).

fof(f235,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f6375,plain,
    spl2_982,
    inference(avatar_split_clause,[],[f841,f6372]) ).

fof(f6372,plain,
    ( spl2_982
  <=> n28 = sum(n6,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_982])]) ).

fof(f841,plain,
    n28 = sum(n6,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f6370,plain,
    ~ spl2_981,
    inference(avatar_split_clause,[],[f239,f6367]) ).

fof(f6367,plain,
    ( spl2_981
  <=> n9 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_981])]) ).

fof(f239,plain,
    n9 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f6365,plain,
    spl2_980,
    inference(avatar_split_clause,[],[f376,f6362]) ).

fof(f6362,plain,
    ( spl2_980
  <=> n9 = sum(n28,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_980])]) ).

fof(f376,plain,
    n9 = sum(n28,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f6360,plain,
    spl2_979,
    inference(avatar_split_clause,[],[f95,f6357]) ).

fof(f6357,plain,
    ( spl2_979
  <=> n27 = sum(n6,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_979])]) ).

fof(f95,plain,
    n27 = sum(n6,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f6355,plain,
    ~ spl2_978,
    inference(avatar_split_clause,[],[f253,f6352]) ).

fof(f6352,plain,
    ( spl2_978
  <=> n4 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_978])]) ).

fof(f253,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f6350,plain,
    spl2_977,
    inference(avatar_split_clause,[],[f1122,f6347]) ).

fof(f6347,plain,
    ( spl2_977
  <=> n2 = sum(n29,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_977])]) ).

fof(f1122,plain,
    n2 = sum(n29,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f6345,plain,
    spl2_976,
    inference(avatar_split_clause,[],[f882,f6342]) ).

fof(f6342,plain,
    ( spl2_976
  <=> n7 = sum(n12,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_976])]) ).

fof(f882,plain,
    n7 = sum(n12,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f6340,plain,
    spl2_975,
    inference(avatar_split_clause,[],[f1436,f6337]) ).

fof(f6337,plain,
    ( spl2_975
  <=> n10 = sum(n20,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_975])]) ).

fof(f1436,plain,
    n10 = sum(n20,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f6335,plain,
    spl2_974,
    inference(avatar_split_clause,[],[f81,f6332]) ).

fof(f6332,plain,
    ( spl2_974
  <=> n23 = sum(n3,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_974])]) ).

fof(f81,plain,
    n23 = sum(n3,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f6330,plain,
    spl2_973,
    inference(avatar_split_clause,[],[f1369,f6327]) ).

fof(f6327,plain,
    ( spl2_973
  <=> n21 = sum(n27,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_973])]) ).

fof(f1369,plain,
    n21 = sum(n27,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f6325,plain,
    spl2_972,
    inference(avatar_split_clause,[],[f924,f6322]) ).

fof(f6322,plain,
    ( spl2_972
  <=> n0 = sum(n27,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_972])]) ).

fof(f924,plain,
    n0 = sum(n27,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f6320,plain,
    ~ spl2_971,
    inference(avatar_split_clause,[],[f149,f6317]) ).

fof(f6317,plain,
    ( spl2_971
  <=> n1 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_971])]) ).

fof(f149,plain,
    n1 != n6,
    inference(cnf_transformation,[],[f4]) ).

fof(f6315,plain,
    ~ spl2_970,
    inference(avatar_split_clause,[],[f1350,f6312]) ).

fof(f6312,plain,
    ( spl2_970
  <=> n4 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_970])]) ).

fof(f1350,plain,
    n4 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f6310,plain,
    spl2_969,
    inference(avatar_split_clause,[],[f1326,f6307]) ).

fof(f6307,plain,
    ( spl2_969
  <=> n23 = pred(n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_969])]) ).

fof(f1326,plain,
    n23 = pred(n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f6305,plain,
    spl2_968,
    inference(avatar_split_clause,[],[f63,f6302]) ).

fof(f6302,plain,
    ( spl2_968
  <=> n25 = sum(n12,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_968])]) ).

fof(f63,plain,
    n25 = sum(n12,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f6300,plain,
    ~ spl2_967,
    inference(avatar_split_clause,[],[f372,f6297]) ).

fof(f6297,plain,
    ( spl2_967
  <=> n17 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_967])]) ).

fof(f372,plain,
    n17 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f6295,plain,
    ~ spl2_966,
    inference(avatar_split_clause,[],[f1276,f6292]) ).

fof(f6292,plain,
    ( spl2_966
  <=> n9 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_966])]) ).

fof(f1276,plain,
    n9 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f6290,plain,
    ~ spl2_965,
    inference(avatar_split_clause,[],[f1132,f6287]) ).

fof(f6287,plain,
    ( spl2_965
  <=> n1 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_965])]) ).

fof(f1132,plain,
    n1 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f6285,plain,
    spl2_964,
    inference(avatar_split_clause,[],[f1076,f6282]) ).

fof(f6282,plain,
    ( spl2_964
  <=> n17 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_964])]) ).

fof(f1076,plain,
    n17 = sum(n8,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f6280,plain,
    spl2_963,
    inference(avatar_split_clause,[],[f518,f6277]) ).

fof(f6277,plain,
    ( spl2_963
  <=> n16 = sum(n19,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_963])]) ).

fof(f518,plain,
    n16 = sum(n19,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f6275,plain,
    spl2_962,
    inference(avatar_split_clause,[],[f1463,f6272]) ).

fof(f6272,plain,
    ( spl2_962
  <=> n24 = sum(n5,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_962])]) ).

fof(f1463,plain,
    n24 = sum(n5,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f6270,plain,
    ~ spl2_961,
    inference(avatar_split_clause,[],[f318,f6267]) ).

fof(f6267,plain,
    ( spl2_961
  <=> n18 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_961])]) ).

fof(f318,plain,
    n18 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f6265,plain,
    spl2_960,
    inference(avatar_split_clause,[],[f1110,f6262]) ).

fof(f6262,plain,
    ( spl2_960
  <=> n21 = sum(n16,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_960])]) ).

fof(f1110,plain,
    n21 = sum(n16,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f6260,plain,
    spl2_959,
    inference(avatar_split_clause,[],[f99,f6257]) ).

fof(f6257,plain,
    ( spl2_959
  <=> n0 = sum(n3,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_959])]) ).

fof(f99,plain,
    n0 = sum(n3,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f6255,plain,
    spl2_958,
    inference(avatar_split_clause,[],[f1329,f6252]) ).

fof(f6252,plain,
    ( spl2_958
  <=> n12 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_958])]) ).

fof(f1329,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f6250,plain,
    spl2_957,
    inference(avatar_split_clause,[],[f880,f6247]) ).

fof(f6247,plain,
    ( spl2_957
  <=> n13 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_957])]) ).

fof(f880,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f6245,plain,
    spl2_956,
    inference(avatar_split_clause,[],[f371,f6242]) ).

fof(f6242,plain,
    ( spl2_956
  <=> n30 = sum(n20,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_956])]) ).

fof(f371,plain,
    n30 = sum(n20,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f6240,plain,
    ~ spl2_955,
    inference(avatar_split_clause,[],[f153,f6237]) ).

fof(f6237,plain,
    ( spl2_955
  <=> n0 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_955])]) ).

fof(f153,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f4]) ).

fof(f6235,plain,
    spl2_954,
    inference(avatar_split_clause,[],[f1387,f6232]) ).

fof(f6232,plain,
    ( spl2_954
  <=> n17 = sum(n20,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_954])]) ).

fof(f1387,plain,
    n17 = sum(n20,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f6230,plain,
    ~ spl2_953,
    inference(avatar_split_clause,[],[f1153,f6227]) ).

fof(f6227,plain,
    ( spl2_953
  <=> n17 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_953])]) ).

fof(f1153,plain,
    n17 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f6225,plain,
    ~ spl2_952,
    inference(avatar_split_clause,[],[f716,f6222]) ).

fof(f6222,plain,
    ( spl2_952
  <=> n11 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_952])]) ).

fof(f716,plain,
    n11 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f6220,plain,
    ~ spl2_951,
    inference(avatar_split_clause,[],[f1139,f6217]) ).

fof(f6217,plain,
    ( spl2_951
  <=> n10 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_951])]) ).

fof(f1139,plain,
    n10 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f6215,plain,
    spl2_950,
    inference(avatar_split_clause,[],[f178,f6212]) ).

fof(f6212,plain,
    ( spl2_950
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_950])]) ).

fof(f178,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f6210,plain,
    ~ spl2_949,
    inference(avatar_split_clause,[],[f969,f6207]) ).

fof(f6207,plain,
    ( spl2_949
  <=> n2 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_949])]) ).

fof(f969,plain,
    n2 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f6205,plain,
    ~ spl2_948,
    inference(avatar_split_clause,[],[f512,f6202]) ).

fof(f6202,plain,
    ( spl2_948
  <=> n1 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_948])]) ).

fof(f512,plain,
    n1 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f6200,plain,
    ~ spl2_947,
    inference(avatar_split_clause,[],[f1347,f6197]) ).

fof(f6197,plain,
    ( spl2_947
  <=> n10 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_947])]) ).

fof(f1347,plain,
    n10 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f6195,plain,
    spl2_946,
    inference(avatar_split_clause,[],[f832,f6192]) ).

fof(f6192,plain,
    ( spl2_946
  <=> n6 = sum(n30,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_946])]) ).

fof(f832,plain,
    n6 = sum(n30,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f6190,plain,
    spl2_945,
    inference(avatar_split_clause,[],[f349,f6187]) ).

fof(f6187,plain,
    ( spl2_945
  <=> n10 = sum(n26,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_945])]) ).

fof(f349,plain,
    n10 = sum(n26,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f6185,plain,
    spl2_944,
    inference(avatar_split_clause,[],[f1440,f6182]) ).

fof(f6182,plain,
    ( spl2_944
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_944])]) ).

fof(f1440,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f6180,plain,
    spl2_943,
    inference(avatar_split_clause,[],[f575,f6177]) ).

fof(f6177,plain,
    ( spl2_943
  <=> n23 = sum(n30,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_943])]) ).

fof(f575,plain,
    n23 = sum(n30,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f6175,plain,
    spl2_942,
    inference(avatar_split_clause,[],[f695,f6172]) ).

fof(f6172,plain,
    ( spl2_942
  <=> n21 = sum(n8,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_942])]) ).

fof(f695,plain,
    n21 = sum(n8,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f6170,plain,
    ~ spl2_941,
    inference(avatar_split_clause,[],[f399,f6167]) ).

fof(f6167,plain,
    ( spl2_941
  <=> n16 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_941])]) ).

fof(f399,plain,
    n16 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f6165,plain,
    ~ spl2_940,
    inference(avatar_split_clause,[],[f1048,f6162]) ).

fof(f6162,plain,
    ( spl2_940
  <=> n16 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_940])]) ).

fof(f1048,plain,
    n16 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f6160,plain,
    spl2_939,
    inference(avatar_split_clause,[],[f1203,f6157]) ).

fof(f6157,plain,
    ( spl2_939
  <=> n0 = sum(n1,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_939])]) ).

fof(f1203,plain,
    n0 = sum(n1,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f6155,plain,
    spl2_938,
    inference(avatar_split_clause,[],[f1206,f6152]) ).

fof(f6152,plain,
    ( spl2_938
  <=> n24 = sum(n27,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_938])]) ).

fof(f1206,plain,
    n24 = sum(n27,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f6150,plain,
    spl2_937,
    inference(avatar_split_clause,[],[f265,f6147]) ).

fof(f6147,plain,
    ( spl2_937
  <=> n2 = sum(n19,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_937])]) ).

fof(f265,plain,
    n2 = sum(n19,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f6145,plain,
    spl2_936,
    inference(avatar_split_clause,[],[f1332,f6142]) ).

fof(f6142,plain,
    ( spl2_936
  <=> n18 = sum(n1,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_936])]) ).

fof(f1332,plain,
    n18 = sum(n1,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f6140,plain,
    spl2_935,
    inference(avatar_split_clause,[],[f1274,f6137]) ).

fof(f6137,plain,
    ( spl2_935
  <=> n19 = sum(n15,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_935])]) ).

fof(f1274,plain,
    n19 = sum(n15,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f6135,plain,
    spl2_934,
    inference(avatar_split_clause,[],[f25,f6132]) ).

fof(f6132,plain,
    ( spl2_934
  <=> n23 = sum(n24,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_934])]) ).

fof(f25,plain,
    n23 = sum(n24,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f6130,plain,
    spl2_933,
    inference(avatar_split_clause,[],[f1168,f6127]) ).

fof(f6127,plain,
    ( spl2_933
  <=> n28 = sum(n22,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_933])]) ).

fof(f1168,plain,
    n28 = sum(n22,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f6125,plain,
    spl2_932,
    inference(avatar_split_clause,[],[f450,f6122]) ).

fof(f6122,plain,
    ( spl2_932
  <=> n17 = sum(n21,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_932])]) ).

fof(f450,plain,
    n17 = sum(n21,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f6120,plain,
    spl2_931,
    inference(avatar_split_clause,[],[f16,f6117]) ).

fof(f6117,plain,
    ( spl2_931
  <=> n5 = sum(n14,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_931])]) ).

fof(f16,plain,
    n5 = sum(n14,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f6115,plain,
    spl2_930,
    inference(avatar_split_clause,[],[f425,f6112]) ).

fof(f6112,plain,
    ( spl2_930
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_930])]) ).

fof(f425,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f6110,plain,
    spl2_929,
    inference(avatar_split_clause,[],[f176,f6107]) ).

fof(f6107,plain,
    ( spl2_929
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_929])]) ).

fof(f176,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f6105,plain,
    ~ spl2_928,
    inference(avatar_split_clause,[],[f469,f6102]) ).

fof(f6102,plain,
    ( spl2_928
  <=> n11 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_928])]) ).

fof(f469,plain,
    n11 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f6100,plain,
    spl2_927,
    inference(avatar_split_clause,[],[f268,f6097]) ).

fof(f6097,plain,
    ( spl2_927
  <=> n21 = sum(n12,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_927])]) ).

fof(f268,plain,
    n21 = sum(n12,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f6095,plain,
    spl2_926,
    inference(avatar_split_clause,[],[f314,f6092]) ).

fof(f6092,plain,
    ( spl2_926
  <=> n2 = sum(n13,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_926])]) ).

fof(f314,plain,
    n2 = sum(n13,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f6090,plain,
    spl2_925,
    inference(avatar_split_clause,[],[f375,f6087]) ).

fof(f6087,plain,
    ( spl2_925
  <=> n29 = sum(n13,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_925])]) ).

fof(f375,plain,
    n29 = sum(n13,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f6085,plain,
    spl2_924,
    inference(avatar_split_clause,[],[f183,f6082]) ).

fof(f6082,plain,
    ( spl2_924
  <=> n22 = sum(n21,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_924])]) ).

fof(f183,plain,
    n22 = sum(n21,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f6080,plain,
    ~ spl2_923,
    inference(avatar_split_clause,[],[f324,f6077]) ).

fof(f6077,plain,
    ( spl2_923
  <=> n14 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_923])]) ).

fof(f324,plain,
    n14 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f6075,plain,
    spl2_922,
    inference(avatar_split_clause,[],[f1106,f6072]) ).

fof(f6072,plain,
    ( spl2_922
  <=> n3 = sum(n23,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_922])]) ).

fof(f1106,plain,
    n3 = sum(n23,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f6070,plain,
    spl2_921,
    inference(avatar_split_clause,[],[f845,f6067]) ).

fof(f6067,plain,
    ( spl2_921
  <=> n0 = sum(n28,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_921])]) ).

fof(f845,plain,
    n0 = sum(n28,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f6065,plain,
    ~ spl2_920,
    inference(avatar_split_clause,[],[f991,f6062]) ).

fof(f6062,plain,
    ( spl2_920
  <=> n14 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_920])]) ).

fof(f991,plain,
    n14 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f6060,plain,
    spl2_919,
    inference(avatar_split_clause,[],[f672,f6057]) ).

fof(f6057,plain,
    ( spl2_919
  <=> n25 = pred(n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_919])]) ).

fof(f672,plain,
    n25 = pred(n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f6055,plain,
    spl2_918,
    inference(avatar_split_clause,[],[f1348,f6052]) ).

fof(f6052,plain,
    ( spl2_918
  <=> n11 = sum(n29,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_918])]) ).

fof(f1348,plain,
    n11 = sum(n29,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f6050,plain,
    ~ spl2_917,
    inference(avatar_split_clause,[],[f196,f6047]) ).

fof(f6047,plain,
    ( spl2_917
  <=> n11 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_917])]) ).

fof(f196,plain,
    n11 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f6045,plain,
    spl2_916,
    inference(avatar_split_clause,[],[f831,f6042]) ).

fof(f6042,plain,
    ( spl2_916
  <=> n28 = sum(n12,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_916])]) ).

fof(f831,plain,
    n28 = sum(n12,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f6040,plain,
    spl2_915,
    inference(avatar_split_clause,[],[f383,f6037]) ).

fof(f6037,plain,
    ( spl2_915
  <=> n10 = sum(n17,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_915])]) ).

fof(f383,plain,
    n10 = sum(n17,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f6035,plain,
    spl2_914,
    inference(avatar_split_clause,[],[f760,f6032]) ).

fof(f6032,plain,
    ( spl2_914
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_914])]) ).

fof(f760,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f6030,plain,
    ~ spl2_913,
    inference(avatar_split_clause,[],[f556,f6027]) ).

fof(f6027,plain,
    ( spl2_913
  <=> n20 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_913])]) ).

fof(f556,plain,
    n20 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f6025,plain,
    ~ spl2_912,
    inference(avatar_split_clause,[],[f1040,f6022]) ).

fof(f6022,plain,
    ( spl2_912
  <=> n3 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_912])]) ).

fof(f1040,plain,
    n3 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f6020,plain,
    spl2_911,
    inference(avatar_split_clause,[],[f1150,f6017]) ).

fof(f6017,plain,
    ( spl2_911
  <=> n17 = sum(n6,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_911])]) ).

fof(f1150,plain,
    n17 = sum(n6,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f6015,plain,
    spl2_910,
    inference(avatar_split_clause,[],[f89,f6012]) ).

fof(f6012,plain,
    ( spl2_910
  <=> n28 = sum(n15,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_910])]) ).

fof(f89,plain,
    n28 = sum(n15,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f6010,plain,
    spl2_909,
    inference(avatar_split_clause,[],[f369,f6007]) ).

fof(f6007,plain,
    ( spl2_909
  <=> n29 = sum(n11,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_909])]) ).

fof(f369,plain,
    n29 = sum(n11,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f6005,plain,
    spl2_908,
    inference(avatar_split_clause,[],[f745,f6002]) ).

fof(f6002,plain,
    ( spl2_908
  <=> n29 = pred(n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_908])]) ).

fof(f745,plain,
    n29 = pred(n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f6000,plain,
    spl2_907,
    inference(avatar_split_clause,[],[f7,f5997]) ).

fof(f5997,plain,
    ( spl2_907
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_907])]) ).

fof(f7,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f5995,plain,
    spl2_906,
    inference(avatar_split_clause,[],[f555,f5992]) ).

fof(f5992,plain,
    ( spl2_906
  <=> n1 = sum(n2,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_906])]) ).

fof(f555,plain,
    n1 = sum(n2,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f5990,plain,
    ~ spl2_905,
    inference(avatar_split_clause,[],[f666,f5987]) ).

fof(f5987,plain,
    ( spl2_905
  <=> n0 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_905])]) ).

fof(f666,plain,
    n0 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f5985,plain,
    ~ spl2_904,
    inference(avatar_split_clause,[],[f549,f5982]) ).

fof(f5982,plain,
    ( spl2_904
  <=> n3 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_904])]) ).

fof(f549,plain,
    n3 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f5980,plain,
    spl2_903,
    inference(avatar_split_clause,[],[f509,f5977]) ).

fof(f5977,plain,
    ( spl2_903
  <=> n1 = sum(n4,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_903])]) ).

fof(f509,plain,
    n1 = sum(n4,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5975,plain,
    spl2_902,
    inference(avatar_split_clause,[],[f182,f5972]) ).

fof(f5972,plain,
    ( spl2_902
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_902])]) ).

fof(f182,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f5970,plain,
    ~ spl2_901,
    inference(avatar_split_clause,[],[f761,f5967]) ).

fof(f5967,plain,
    ( spl2_901
  <=> n19 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_901])]) ).

fof(f761,plain,
    n19 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f5965,plain,
    spl2_900,
    inference(avatar_split_clause,[],[f651,f5962]) ).

fof(f5962,plain,
    ( spl2_900
  <=> n30 = sum(n2,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_900])]) ).

fof(f651,plain,
    n30 = sum(n2,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5960,plain,
    spl2_899,
    inference(avatar_split_clause,[],[f733,f5957]) ).

fof(f5957,plain,
    ( spl2_899
  <=> n23 = sum(n17,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_899])]) ).

fof(f733,plain,
    n23 = sum(n17,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f5955,plain,
    spl2_898,
    inference(avatar_split_clause,[],[f406,f5952]) ).

fof(f5952,plain,
    ( spl2_898
  <=> n26 = sum(n19,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_898])]) ).

fof(f406,plain,
    n26 = sum(n19,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f5950,plain,
    spl2_897,
    inference(avatar_split_clause,[],[f1261,f5947]) ).

fof(f5947,plain,
    ( spl2_897
  <=> n7 = sum(n11,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_897])]) ).

fof(f1261,plain,
    n7 = sum(n11,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f5945,plain,
    spl2_896,
    inference(avatar_split_clause,[],[f1063,f5942]) ).

fof(f5942,plain,
    ( spl2_896
  <=> n12 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_896])]) ).

fof(f1063,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f5940,plain,
    spl2_895,
    inference(avatar_split_clause,[],[f10,f5937]) ).

fof(f5937,plain,
    ( spl2_895
  <=> n8 = sum(n23,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_895])]) ).

fof(f10,plain,
    n8 = sum(n23,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f5935,plain,
    spl2_894,
    inference(avatar_split_clause,[],[f1170,f5932]) ).

fof(f5932,plain,
    ( spl2_894
  <=> n15 = sum(n0,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_894])]) ).

fof(f1170,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f5930,plain,
    spl2_893,
    inference(avatar_split_clause,[],[f222,f5927]) ).

fof(f5927,plain,
    ( spl2_893
  <=> n29 = sum(n16,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_893])]) ).

fof(f222,plain,
    n29 = sum(n16,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f5925,plain,
    spl2_892,
    inference(avatar_split_clause,[],[f1173,f5922]) ).

fof(f5922,plain,
    ( spl2_892
  <=> n16 = sum(n14,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_892])]) ).

fof(f1173,plain,
    n16 = sum(n14,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f5920,plain,
    spl2_891,
    inference(avatar_split_clause,[],[f1356,f5917]) ).

fof(f5917,plain,
    ( spl2_891
  <=> n7 = sum(n9,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_891])]) ).

fof(f1356,plain,
    n7 = sum(n9,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f5915,plain,
    spl2_890,
    inference(avatar_split_clause,[],[f574,f5912]) ).

fof(f5912,plain,
    ( spl2_890
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_890])]) ).

fof(f574,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f5910,plain,
    spl2_889,
    inference(avatar_split_clause,[],[f1104,f5907]) ).

fof(f5907,plain,
    ( spl2_889
  <=> n17 = sum(n25,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_889])]) ).

fof(f1104,plain,
    n17 = sum(n25,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f5905,plain,
    ~ spl2_888,
    inference(avatar_split_clause,[],[f620,f5902]) ).

fof(f5902,plain,
    ( spl2_888
  <=> n18 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_888])]) ).

fof(f620,plain,
    n18 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f5900,plain,
    ~ spl2_887,
    inference(avatar_split_clause,[],[f1466,f5897]) ).

fof(f5897,plain,
    ( spl2_887
  <=> n12 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_887])]) ).

fof(f1466,plain,
    n12 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f5895,plain,
    spl2_886,
    inference(avatar_split_clause,[],[f214,f5892]) ).

fof(f5892,plain,
    ( spl2_886
  <=> n26 = sum(n29,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_886])]) ).

fof(f214,plain,
    n26 = sum(n29,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5890,plain,
    ~ spl2_885,
    inference(avatar_split_clause,[],[f484,f5887]) ).

fof(f5887,plain,
    ( spl2_885
  <=> n21 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_885])]) ).

fof(f484,plain,
    n21 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f5885,plain,
    spl2_884,
    inference(avatar_split_clause,[],[f1044,f5882]) ).

fof(f5882,plain,
    ( spl2_884
  <=> n17 = sum(n14,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_884])]) ).

fof(f1044,plain,
    n17 = sum(n14,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5880,plain,
    ~ spl2_883,
    inference(avatar_split_clause,[],[f513,f5877]) ).

fof(f5877,plain,
    ( spl2_883
  <=> n15 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_883])]) ).

fof(f513,plain,
    n15 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f5875,plain,
    spl2_882,
    inference(avatar_split_clause,[],[f15,f5872]) ).

fof(f5872,plain,
    ( spl2_882
  <=> n5 = sum(n7,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_882])]) ).

fof(f15,plain,
    n5 = sum(n7,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f5870,plain,
    spl2_881,
    inference(avatar_split_clause,[],[f884,f5867]) ).

fof(f5867,plain,
    ( spl2_881
  <=> n14 = sum(n2,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_881])]) ).

fof(f884,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f5865,plain,
    spl2_880,
    inference(avatar_split_clause,[],[f1083,f5862]) ).

fof(f5862,plain,
    ( spl2_880
  <=> n17 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_880])]) ).

fof(f1083,plain,
    n17 = sum(n7,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f5860,plain,
    spl2_879,
    inference(avatar_split_clause,[],[f1313,f5857]) ).

fof(f5857,plain,
    ( spl2_879
  <=> n26 = sum(n23,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_879])]) ).

fof(f1313,plain,
    n26 = sum(n23,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5855,plain,
    spl2_878,
    inference(avatar_split_clause,[],[f496,f5852]) ).

fof(f5852,plain,
    ( spl2_878
  <=> n23 = sum(n12,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_878])]) ).

fof(f496,plain,
    n23 = sum(n12,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f5850,plain,
    spl2_877,
    inference(avatar_split_clause,[],[f1339,f5847]) ).

fof(f5847,plain,
    ( spl2_877
  <=> n1 = sum(n7,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_877])]) ).

fof(f1339,plain,
    n1 = sum(n7,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f5845,plain,
    spl2_876,
    inference(avatar_split_clause,[],[f756,f5842]) ).

fof(f5842,plain,
    ( spl2_876
  <=> n11 = sum(n23,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_876])]) ).

fof(f756,plain,
    n11 = sum(n23,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f5840,plain,
    spl2_875,
    inference(avatar_split_clause,[],[f1000,f5837]) ).

fof(f5837,plain,
    ( spl2_875
  <=> n27 = sum(n19,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_875])]) ).

fof(f1000,plain,
    n27 = sum(n19,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f5835,plain,
    spl2_874,
    inference(avatar_split_clause,[],[f305,f5832]) ).

fof(f5832,plain,
    ( spl2_874
  <=> n20 = sum(n16,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_874])]) ).

fof(f305,plain,
    n20 = sum(n16,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f5830,plain,
    spl2_873,
    inference(avatar_split_clause,[],[f961,f5827]) ).

fof(f5827,plain,
    ( spl2_873
  <=> n12 = sum(n15,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_873])]) ).

fof(f961,plain,
    n12 = sum(n15,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5825,plain,
    spl2_872,
    inference(avatar_split_clause,[],[f709,f5822]) ).

fof(f5822,plain,
    ( spl2_872
  <=> n18 = sum(n27,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_872])]) ).

fof(f709,plain,
    n18 = sum(n27,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f5820,plain,
    ~ spl2_871,
    inference(avatar_split_clause,[],[f833,f5817]) ).

fof(f5817,plain,
    ( spl2_871
  <=> n1 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_871])]) ).

fof(f833,plain,
    n1 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f5815,plain,
    spl2_870,
    inference(avatar_split_clause,[],[f1427,f5812]) ).

fof(f5812,plain,
    ( spl2_870
  <=> n25 = sum(n8,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_870])]) ).

fof(f1427,plain,
    n25 = sum(n8,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5810,plain,
    spl2_869,
    inference(avatar_split_clause,[],[f1364,f5807]) ).

fof(f5807,plain,
    ( spl2_869
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_869])]) ).

fof(f1364,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f5805,plain,
    spl2_868,
    inference(avatar_split_clause,[],[f1135,f5802]) ).

fof(f5802,plain,
    ( spl2_868
  <=> n1 = sum(n23,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_868])]) ).

fof(f1135,plain,
    n1 = sum(n23,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f5800,plain,
    spl2_867,
    inference(avatar_split_clause,[],[f1028,f5797]) ).

fof(f5797,plain,
    ( spl2_867
  <=> n13 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_867])]) ).

fof(f1028,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5795,plain,
    spl2_866,
    inference(avatar_split_clause,[],[f863,f5792]) ).

fof(f5792,plain,
    ( spl2_866
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_866])]) ).

fof(f863,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f5790,plain,
    spl2_865,
    inference(avatar_split_clause,[],[f795,f5787]) ).

fof(f5787,plain,
    ( spl2_865
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_865])]) ).

fof(f795,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f5785,plain,
    ~ spl2_864,
    inference(avatar_split_clause,[],[f769,f5782]) ).

fof(f5782,plain,
    ( spl2_864
  <=> n7 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_864])]) ).

fof(f769,plain,
    n7 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f5780,plain,
    ~ spl2_863,
    inference(avatar_split_clause,[],[f85,f5777]) ).

fof(f5777,plain,
    ( spl2_863
  <=> n22 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_863])]) ).

fof(f85,plain,
    n22 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f5775,plain,
    ~ spl2_862,
    inference(avatar_split_clause,[],[f46,f5772]) ).

fof(f5772,plain,
    ( spl2_862
  <=> n7 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_862])]) ).

fof(f46,plain,
    n7 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f5770,plain,
    spl2_861,
    inference(avatar_split_clause,[],[f317,f5767]) ).

fof(f5767,plain,
    ( spl2_861
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_861])]) ).

fof(f317,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f5765,plain,
    spl2_860,
    inference(avatar_split_clause,[],[f730,f5762]) ).

fof(f5762,plain,
    ( spl2_860
  <=> n13 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_860])]) ).

fof(f730,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f5760,plain,
    spl2_859,
    inference(avatar_split_clause,[],[f1009,f5757]) ).

fof(f5757,plain,
    ( spl2_859
  <=> n21 = sum(n17,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_859])]) ).

fof(f1009,plain,
    n21 = sum(n17,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f5755,plain,
    spl2_858,
    inference(avatar_split_clause,[],[f13,f5752]) ).

fof(f5752,plain,
    ( spl2_858
  <=> n7 = sum(n16,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_858])]) ).

fof(f13,plain,
    n7 = sum(n16,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f5750,plain,
    spl2_857,
    inference(avatar_split_clause,[],[f24,f5747]) ).

fof(f5747,plain,
    ( spl2_857
  <=> n21 = sum(n0,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_857])]) ).

fof(f24,plain,
    n21 = sum(n0,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f5745,plain,
    ~ spl2_856,
    inference(avatar_split_clause,[],[f1471,f5742]) ).

fof(f5742,plain,
    ( spl2_856
  <=> n1 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_856])]) ).

fof(f1471,plain,
    n1 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f5740,plain,
    spl2_855,
    inference(avatar_split_clause,[],[f1473,f5737]) ).

fof(f5737,plain,
    ( spl2_855
  <=> n17 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_855])]) ).

fof(f1473,plain,
    n17 = sum(n9,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f5735,plain,
    spl2_854,
    inference(avatar_split_clause,[],[f641,f5732]) ).

fof(f5732,plain,
    ( spl2_854
  <=> n21 = sum(n28,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_854])]) ).

fof(f641,plain,
    n21 = sum(n28,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f5730,plain,
    spl2_853,
    inference(avatar_split_clause,[],[f822,f5727]) ).

fof(f5727,plain,
    ( spl2_853
  <=> n8 = sum(n26,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_853])]) ).

fof(f822,plain,
    n8 = sum(n26,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f5725,plain,
    ~ spl2_852,
    inference(avatar_split_clause,[],[f1085,f5722]) ).

fof(f5722,plain,
    ( spl2_852
  <=> n2 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_852])]) ).

fof(f1085,plain,
    n2 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f5720,plain,
    spl2_851,
    inference(avatar_split_clause,[],[f1088,f5717]) ).

fof(f5717,plain,
    ( spl2_851
  <=> n13 = sum(n0,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_851])]) ).

fof(f1088,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f5715,plain,
    spl2_850,
    inference(avatar_split_clause,[],[f480,f5712]) ).

fof(f5712,plain,
    ( spl2_850
  <=> n20 = sum(n29,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_850])]) ).

fof(f480,plain,
    n20 = sum(n29,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f5710,plain,
    spl2_849,
    inference(avatar_split_clause,[],[f1232,f5707]) ).

fof(f5707,plain,
    ( spl2_849
  <=> succ(n28) = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_849])]) ).

fof(f1232,plain,
    succ(n28) = n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f5705,plain,
    spl2_848,
    inference(avatar_split_clause,[],[f1182,f5702]) ).

fof(f5702,plain,
    ( spl2_848
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_848])]) ).

fof(f1182,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f5700,plain,
    spl2_847,
    inference(avatar_split_clause,[],[f1024,f5697]) ).

fof(f5697,plain,
    ( spl2_847
  <=> n27 = sum(n13,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_847])]) ).

fof(f1024,plain,
    n27 = sum(n13,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f5695,plain,
    ~ spl2_846,
    inference(avatar_split_clause,[],[f272,f5692]) ).

fof(f5692,plain,
    ( spl2_846
  <=> n2 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_846])]) ).

fof(f272,plain,
    n2 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f5690,plain,
    ~ spl2_845,
    inference(avatar_split_clause,[],[f277,f5687]) ).

fof(f5687,plain,
    ( spl2_845
  <=> n1 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_845])]) ).

fof(f277,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f4]) ).

fof(f5685,plain,
    spl2_844,
    inference(avatar_split_clause,[],[f432,f5682]) ).

fof(f5682,plain,
    ( spl2_844
  <=> n22 = sum(n10,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_844])]) ).

fof(f432,plain,
    n22 = sum(n10,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f5680,plain,
    ~ spl2_843,
    inference(avatar_split_clause,[],[f565,f5677]) ).

fof(f5677,plain,
    ( spl2_843
  <=> n1 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_843])]) ).

fof(f565,plain,
    n1 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f5675,plain,
    spl2_842,
    inference(avatar_split_clause,[],[f358,f5672]) ).

fof(f5672,plain,
    ( spl2_842
  <=> n12 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_842])]) ).

fof(f358,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f5670,plain,
    ~ spl2_841,
    inference(avatar_split_clause,[],[f245,f5667]) ).

fof(f5667,plain,
    ( spl2_841
  <=> n11 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_841])]) ).

fof(f245,plain,
    n11 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f5665,plain,
    spl2_840,
    inference(avatar_split_clause,[],[f352,f5662]) ).

fof(f5662,plain,
    ( spl2_840
  <=> n17 = sum(n4,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_840])]) ).

fof(f352,plain,
    n17 = sum(n4,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f5660,plain,
    spl2_839,
    inference(avatar_split_clause,[],[f584,f5657]) ).

fof(f5657,plain,
    ( spl2_839
  <=> n14 = sum(n28,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_839])]) ).

fof(f584,plain,
    n14 = sum(n28,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5655,plain,
    spl2_838,
    inference(avatar_split_clause,[],[f1037,f5652]) ).

fof(f5652,plain,
    ( spl2_838
  <=> n3 = sum(n25,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_838])]) ).

fof(f1037,plain,
    n3 = sum(n25,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f5650,plain,
    spl2_837,
    inference(avatar_split_clause,[],[f939,f5647]) ).

fof(f5647,plain,
    ( spl2_837
  <=> n2 = sum(n16,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_837])]) ).

fof(f939,plain,
    n2 = sum(n16,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5645,plain,
    spl2_836,
    inference(avatar_split_clause,[],[f1034,f5642]) ).

fof(f5642,plain,
    ( spl2_836
  <=> n28 = sum(n11,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_836])]) ).

fof(f1034,plain,
    n28 = sum(n11,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5640,plain,
    spl2_835,
    inference(avatar_split_clause,[],[f54,f5637]) ).

fof(f5637,plain,
    ( spl2_835
  <=> n8 = sum(n25,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_835])]) ).

fof(f54,plain,
    n8 = sum(n25,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f5635,plain,
    spl2_834,
    inference(avatar_split_clause,[],[f1020,f5632]) ).

fof(f5632,plain,
    ( spl2_834
  <=> n29 = sum(n0,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_834])]) ).

fof(f1020,plain,
    n29 = sum(n0,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f5630,plain,
    ~ spl2_833,
    inference(avatar_split_clause,[],[f1287,f5627]) ).

fof(f5627,plain,
    ( spl2_833
  <=> n5 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_833])]) ).

fof(f1287,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f5625,plain,
    spl2_832,
    inference(avatar_split_clause,[],[f37,f5622]) ).

fof(f5622,plain,
    ( spl2_832
  <=> n19 = sum(n23,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_832])]) ).

fof(f37,plain,
    n19 = sum(n23,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f5620,plain,
    ~ spl2_831,
    inference(avatar_split_clause,[],[f29,f5617]) ).

fof(f5617,plain,
    ( spl2_831
  <=> n21 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_831])]) ).

fof(f29,plain,
    n21 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f5615,plain,
    spl2_830,
    inference(avatar_split_clause,[],[f708,f5612]) ).

fof(f5612,plain,
    ( spl2_830
  <=> n28 = sum(n27,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_830])]) ).

fof(f708,plain,
    n28 = sum(n27,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f5610,plain,
    spl2_829,
    inference(avatar_split_clause,[],[f669,f5607]) ).

fof(f5607,plain,
    ( spl2_829
  <=> n20 = sum(n15,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_829])]) ).

fof(f669,plain,
    n20 = sum(n15,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f5605,plain,
    spl2_828,
    inference(avatar_split_clause,[],[f1008,f5602]) ).

fof(f5602,plain,
    ( spl2_828
  <=> n9 = sum(n14,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_828])]) ).

fof(f1008,plain,
    n9 = sum(n14,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f5600,plain,
    ~ spl2_827,
    inference(avatar_split_clause,[],[f867,f5597]) ).

fof(f5597,plain,
    ( spl2_827
  <=> n16 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_827])]) ).

fof(f867,plain,
    n16 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f5595,plain,
    spl2_826,
    inference(avatar_split_clause,[],[f12,f5592]) ).

fof(f5592,plain,
    ( spl2_826
  <=> n15 = sum(n28,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_826])]) ).

fof(f12,plain,
    n15 = sum(n28,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f5590,plain,
    spl2_825,
    inference(avatar_split_clause,[],[f877,f5587]) ).

fof(f5587,plain,
    ( spl2_825
  <=> n5 = sum(n29,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_825])]) ).

fof(f877,plain,
    n5 = sum(n29,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f5585,plain,
    spl2_824,
    inference(avatar_split_clause,[],[f607,f5582]) ).

fof(f5582,plain,
    ( spl2_824
  <=> n28 = sum(n21,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_824])]) ).

fof(f607,plain,
    n28 = sum(n21,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f5580,plain,
    ~ spl2_823,
    inference(avatar_split_clause,[],[f1263,f5577]) ).

fof(f5577,plain,
    ( spl2_823
  <=> n6 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_823])]) ).

fof(f1263,plain,
    n6 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f5575,plain,
    spl2_822,
    inference(avatar_split_clause,[],[f127,f5572]) ).

fof(f5572,plain,
    ( spl2_822
  <=> n26 = sum(n5,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_822])]) ).

fof(f127,plain,
    n26 = sum(n5,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f5570,plain,
    spl2_821,
    inference(avatar_split_clause,[],[f439,f5567]) ).

fof(f5567,plain,
    ( spl2_821
  <=> n15 = sum(n30,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_821])]) ).

fof(f439,plain,
    n15 = sum(n30,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f5565,plain,
    spl2_820,
    inference(avatar_split_clause,[],[f1231,f5562]) ).

fof(f5562,plain,
    ( spl2_820
  <=> n6 = sum(n9,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_820])]) ).

fof(f1231,plain,
    n6 = sum(n9,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5560,plain,
    spl2_819,
    inference(avatar_split_clause,[],[f717,f5557]) ).

fof(f5557,plain,
    ( spl2_819
  <=> n29 = sum(n10,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_819])]) ).

fof(f717,plain,
    n29 = sum(n10,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f5555,plain,
    spl2_818,
    inference(avatar_split_clause,[],[f115,f5552]) ).

fof(f5552,plain,
    ( spl2_818
  <=> n0 = sum(n5,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_818])]) ).

fof(f115,plain,
    n0 = sum(n5,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f5550,plain,
    spl2_817,
    inference(avatar_split_clause,[],[f86,f5547]) ).

fof(f5547,plain,
    ( spl2_817
  <=> n9 = sum(n12,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_817])]) ).

fof(f86,plain,
    n9 = sum(n12,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5545,plain,
    ~ spl2_816,
    inference(avatar_split_clause,[],[f1407,f5542]) ).

fof(f5542,plain,
    ( spl2_816
  <=> n9 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_816])]) ).

fof(f1407,plain,
    n9 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f5540,plain,
    spl2_815,
    inference(avatar_split_clause,[],[f712,f5537]) ).

fof(f5537,plain,
    ( spl2_815
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_815])]) ).

fof(f712,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f5535,plain,
    ~ spl2_814,
    inference(avatar_split_clause,[],[f194,f5532]) ).

fof(f5532,plain,
    ( spl2_814
  <=> n7 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_814])]) ).

fof(f194,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f5530,plain,
    spl2_813,
    inference(avatar_split_clause,[],[f911,f5527]) ).

fof(f5527,plain,
    ( spl2_813
  <=> n23 = sum(n8,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_813])]) ).

fof(f911,plain,
    n23 = sum(n8,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f5525,plain,
    ~ spl2_812,
    inference(avatar_split_clause,[],[f1249,f5522]) ).

fof(f5522,plain,
    ( spl2_812
  <=> n14 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_812])]) ).

fof(f1249,plain,
    n14 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f5520,plain,
    spl2_811,
    inference(avatar_split_clause,[],[f451,f5517]) ).

fof(f5517,plain,
    ( spl2_811
  <=> n26 = sum(n3,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_811])]) ).

fof(f451,plain,
    n26 = sum(n3,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f5515,plain,
    spl2_810,
    inference(avatar_split_clause,[],[f1404,f5512]) ).

fof(f5512,plain,
    ( spl2_810
  <=> n19 = sum(n16,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_810])]) ).

fof(f1404,plain,
    n19 = sum(n16,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5510,plain,
    spl2_809,
    inference(avatar_split_clause,[],[f1201,f5507]) ).

fof(f5507,plain,
    ( spl2_809
  <=> n23 = sum(n29,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_809])]) ).

fof(f1201,plain,
    n23 = sum(n29,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f5505,plain,
    ~ spl2_808,
    inference(avatar_split_clause,[],[f1483,f5502]) ).

fof(f5502,plain,
    ( spl2_808
  <=> n1 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_808])]) ).

fof(f1483,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f5500,plain,
    spl2_807,
    inference(avatar_split_clause,[],[f19,f5497]) ).

fof(f5497,plain,
    ( spl2_807
  <=> n21 = sum(n4,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_807])]) ).

fof(f19,plain,
    n21 = sum(n4,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5495,plain,
    spl2_806,
    inference(avatar_split_clause,[],[f1039,f5492]) ).

fof(f5492,plain,
    ( spl2_806
  <=> n21 = sum(n29,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_806])]) ).

fof(f1039,plain,
    n21 = sum(n29,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f5490,plain,
    spl2_805,
    inference(avatar_split_clause,[],[f28,f5487]) ).

fof(f5487,plain,
    ( spl2_805
  <=> n5 = sum(n27,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_805])]) ).

fof(f28,plain,
    n5 = sum(n27,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f5485,plain,
    spl2_804,
    inference(avatar_split_clause,[],[f455,f5482]) ).

fof(f5482,plain,
    ( spl2_804
  <=> n13 = sum(n15,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_804])]) ).

fof(f455,plain,
    n13 = sum(n15,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f5480,plain,
    ~ spl2_803,
    inference(avatar_split_clause,[],[f1200,f5477]) ).

fof(f5477,plain,
    ( spl2_803
  <=> n10 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_803])]) ).

fof(f1200,plain,
    n10 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f5475,plain,
    ~ spl2_802,
    inference(avatar_split_clause,[],[f251,f5472]) ).

fof(f5472,plain,
    ( spl2_802
  <=> n1 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_802])]) ).

fof(f251,plain,
    n1 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f5470,plain,
    ~ spl2_801,
    inference(avatar_split_clause,[],[f170,f5467]) ).

fof(f5467,plain,
    ( spl2_801
  <=> n23 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_801])]) ).

fof(f170,plain,
    n23 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f5465,plain,
    spl2_800,
    inference(avatar_split_clause,[],[f528,f5462]) ).

fof(f5462,plain,
    ( spl2_800
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_800])]) ).

fof(f528,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f5460,plain,
    spl2_799,
    inference(avatar_split_clause,[],[f530,f5457]) ).

fof(f5457,plain,
    ( spl2_799
  <=> n15 = sum(n16,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_799])]) ).

fof(f530,plain,
    n15 = sum(n16,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f5455,plain,
    spl2_798,
    inference(avatar_split_clause,[],[f210,f5452]) ).

fof(f5452,plain,
    ( spl2_798
  <=> n26 = sum(n16,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_798])]) ).

fof(f210,plain,
    n26 = sum(n16,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f5450,plain,
    spl2_797,
    inference(avatar_split_clause,[],[f359,f5447]) ).

fof(f5447,plain,
    ( spl2_797
  <=> n15 = sum(n29,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_797])]) ).

fof(f359,plain,
    n15 = sum(n29,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5445,plain,
    ~ spl2_796,
    inference(avatar_split_clause,[],[f1229,f5442]) ).

fof(f5442,plain,
    ( spl2_796
  <=> n14 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_796])]) ).

fof(f1229,plain,
    n14 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f5440,plain,
    spl2_795,
    inference(avatar_split_clause,[],[f90,f5437]) ).

fof(f5437,plain,
    ( spl2_795
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_795])]) ).

fof(f90,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5435,plain,
    spl2_794,
    inference(avatar_split_clause,[],[f551,f5432]) ).

fof(f5432,plain,
    ( spl2_794
  <=> n0 = sum(n14,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_794])]) ).

fof(f551,plain,
    n0 = sum(n14,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5430,plain,
    ~ spl2_793,
    inference(avatar_split_clause,[],[f49,f5427]) ).

fof(f5427,plain,
    ( spl2_793
  <=> n10 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_793])]) ).

fof(f49,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f5425,plain,
    spl2_792,
    inference(avatar_split_clause,[],[f331,f5422]) ).

fof(f5422,plain,
    ( spl2_792
  <=> n22 = sum(n5,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_792])]) ).

fof(f331,plain,
    n22 = sum(n5,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5420,plain,
    ~ spl2_791,
    inference(avatar_split_clause,[],[f1277,f5417]) ).

fof(f5417,plain,
    ( spl2_791
  <=> n20 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_791])]) ).

fof(f1277,plain,
    n20 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f5415,plain,
    spl2_790,
    inference(avatar_split_clause,[],[f207,f5412]) ).

fof(f5412,plain,
    ( spl2_790
  <=> n18 = sum(n15,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_790])]) ).

fof(f207,plain,
    n18 = sum(n15,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5410,plain,
    spl2_789,
    inference(avatar_split_clause,[],[f918,f5407]) ).

fof(f5407,plain,
    ( spl2_789
  <=> n17 = sum(n30,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_789])]) ).

fof(f918,plain,
    n17 = sum(n30,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f5405,plain,
    spl2_788,
    inference(avatar_split_clause,[],[f150,f5402]) ).

fof(f5402,plain,
    ( spl2_788
  <=> n2 = sum(n18,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_788])]) ).

fof(f150,plain,
    n2 = sum(n18,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f5400,plain,
    ~ spl2_787,
    inference(avatar_split_clause,[],[f962,f5397]) ).

fof(f5397,plain,
    ( spl2_787
  <=> n13 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_787])]) ).

fof(f962,plain,
    n13 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f5395,plain,
    spl2_786,
    inference(avatar_split_clause,[],[f956,f5392]) ).

fof(f5392,plain,
    ( spl2_786
  <=> n8 = sum(n15,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_786])]) ).

fof(f956,plain,
    n8 = sum(n15,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f5390,plain,
    spl2_785,
    inference(avatar_split_clause,[],[f889,f5387]) ).

fof(f5387,plain,
    ( spl2_785
  <=> n10 = sum(n19,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_785])]) ).

fof(f889,plain,
    n10 = sum(n19,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f5385,plain,
    ~ spl2_784,
    inference(avatar_split_clause,[],[f1017,f5382]) ).

fof(f5382,plain,
    ( spl2_784
  <=> n3 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_784])]) ).

fof(f1017,plain,
    n3 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f5380,plain,
    spl2_783,
    inference(avatar_split_clause,[],[f802,f5377]) ).

fof(f5377,plain,
    ( spl2_783
  <=> n3 = sum(n17,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_783])]) ).

fof(f802,plain,
    n3 = sum(n17,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5375,plain,
    spl2_782,
    inference(avatar_split_clause,[],[f303,f5372]) ).

fof(f5372,plain,
    ( spl2_782
  <=> n12 = sum(n23,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_782])]) ).

fof(f303,plain,
    n12 = sum(n23,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f5370,plain,
    spl2_781,
    inference(avatar_split_clause,[],[f220,f5367]) ).

fof(f5367,plain,
    ( spl2_781
  <=> n1 = sum(n29,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_781])]) ).

fof(f220,plain,
    n1 = sum(n29,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5365,plain,
    spl2_780,
    inference(avatar_split_clause,[],[f1290,f5362]) ).

fof(f5362,plain,
    ( spl2_780
  <=> n30 = sum(n15,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_780])]) ).

fof(f1290,plain,
    n30 = sum(n15,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f5360,plain,
    ~ spl2_779,
    inference(avatar_split_clause,[],[f1068,f5357]) ).

fof(f5357,plain,
    ( spl2_779
  <=> n2 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_779])]) ).

fof(f1068,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f5355,plain,
    ~ spl2_778,
    inference(avatar_split_clause,[],[f205,f5352]) ).

fof(f5352,plain,
    ( spl2_778
  <=> n0 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_778])]) ).

fof(f205,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f4]) ).

fof(f5350,plain,
    spl2_777,
    inference(avatar_split_clause,[],[f1457,f5347]) ).

fof(f5347,plain,
    ( spl2_777
  <=> n12 = pred(n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_777])]) ).

fof(f1457,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f5345,plain,
    spl2_776,
    inference(avatar_split_clause,[],[f1038,f5342]) ).

fof(f5342,plain,
    ( spl2_776
  <=> n25 = sum(n25,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_776])]) ).

fof(f1038,plain,
    n25 = sum(n25,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f5340,plain,
    spl2_775,
    inference(avatar_split_clause,[],[f1302,f5337]) ).

fof(f5337,plain,
    ( spl2_775
  <=> n7 = sum(n18,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_775])]) ).

fof(f1302,plain,
    n7 = sum(n18,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f5335,plain,
    ~ spl2_774,
    inference(avatar_split_clause,[],[f1413,f5332]) ).

fof(f5332,plain,
    ( spl2_774
  <=> n9 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_774])]) ).

fof(f1413,plain,
    n9 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f5330,plain,
    spl2_773,
    inference(avatar_split_clause,[],[f768,f5327]) ).

fof(f5327,plain,
    ( spl2_773
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_773])]) ).

fof(f768,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f5325,plain,
    ~ spl2_772,
    inference(avatar_split_clause,[],[f281,f5322]) ).

fof(f5322,plain,
    ( spl2_772
  <=> n6 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_772])]) ).

fof(f281,plain,
    n6 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f5320,plain,
    spl2_771,
    inference(avatar_split_clause,[],[f82,f5317]) ).

fof(f5317,plain,
    ( spl2_771
  <=> n21 = sum(n15,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_771])]) ).

fof(f82,plain,
    n21 = sum(n15,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f5315,plain,
    ~ spl2_770,
    inference(avatar_split_clause,[],[f1378,f5312]) ).

fof(f5312,plain,
    ( spl2_770
  <=> n6 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_770])]) ).

fof(f1378,plain,
    n6 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f5310,plain,
    spl2_769,
    inference(avatar_split_clause,[],[f868,f5307]) ).

fof(f5307,plain,
    ( spl2_769
  <=> n11 = sum(n17,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_769])]) ).

fof(f868,plain,
    n11 = sum(n17,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f5305,plain,
    ~ spl2_768,
    inference(avatar_split_clause,[],[f1327,f5302]) ).

fof(f5302,plain,
    ( spl2_768
  <=> n2 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_768])]) ).

fof(f1327,plain,
    n2 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f5300,plain,
    ~ spl2_767,
    inference(avatar_split_clause,[],[f69,f5297]) ).

fof(f5297,plain,
    ( spl2_767
  <=> n0 = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_767])]) ).

fof(f69,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f4]) ).

fof(f5295,plain,
    spl2_766,
    inference(avatar_split_clause,[],[f64,f5292]) ).

fof(f5292,plain,
    ( spl2_766
  <=> n22 = sum(n29,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_766])]) ).

fof(f64,plain,
    n22 = sum(n29,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f5290,plain,
    spl2_765,
    inference(avatar_split_clause,[],[f616,f5287]) ).

fof(f5287,plain,
    ( spl2_765
  <=> n18 = sum(n21,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_765])]) ).

fof(f616,plain,
    n18 = sum(n21,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5285,plain,
    spl2_764,
    inference(avatar_split_clause,[],[f1243,f5282]) ).

fof(f5282,plain,
    ( spl2_764
  <=> n6 = sum(n14,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_764])]) ).

fof(f1243,plain,
    n6 = sum(n14,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f5280,plain,
    spl2_763,
    inference(avatar_split_clause,[],[f928,f5277]) ).

fof(f5277,plain,
    ( spl2_763
  <=> n17 = sum(n24,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_763])]) ).

fof(f928,plain,
    n17 = sum(n24,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f5275,plain,
    spl2_762,
    inference(avatar_split_clause,[],[f374,f5272]) ).

fof(f5272,plain,
    ( spl2_762
  <=> n13 = sum(n27,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_762])]) ).

fof(f374,plain,
    n13 = sum(n27,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f5270,plain,
    spl2_761,
    inference(avatar_split_clause,[],[f1032,f5267]) ).

fof(f5267,plain,
    ( spl2_761
  <=> n9 = sum(n18,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_761])]) ).

fof(f1032,plain,
    n9 = sum(n18,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f5265,plain,
    spl2_760,
    inference(avatar_split_clause,[],[f952,f5262]) ).

fof(f5262,plain,
    ( spl2_760
  <=> n15 = sum(n3,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_760])]) ).

fof(f952,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f5260,plain,
    ~ spl2_759,
    inference(avatar_split_clause,[],[f1140,f5257]) ).

fof(f5257,plain,
    ( spl2_759
  <=> n10 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_759])]) ).

fof(f1140,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f5255,plain,
    spl2_758,
    inference(avatar_split_clause,[],[f1205,f5252]) ).

fof(f5252,plain,
    ( spl2_758
  <=> n18 = sum(n17,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_758])]) ).

fof(f1205,plain,
    n18 = sum(n17,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f5250,plain,
    spl2_757,
    inference(avatar_split_clause,[],[f75,f5247]) ).

fof(f5247,plain,
    ( spl2_757
  <=> n19 = sum(n22,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_757])]) ).

fof(f75,plain,
    n19 = sum(n22,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5245,plain,
    spl2_756,
    inference(avatar_split_clause,[],[f688,f5242]) ).

fof(f5242,plain,
    ( spl2_756
  <=> n26 = sum(n26,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_756])]) ).

fof(f688,plain,
    n26 = sum(n26,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f5240,plain,
    spl2_755,
    inference(avatar_split_clause,[],[f310,f5237]) ).

fof(f5237,plain,
    ( spl2_755
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_755])]) ).

fof(f310,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f5235,plain,
    ~ spl2_754,
    inference(avatar_split_clause,[],[f1149,f5232]) ).

fof(f5232,plain,
    ( spl2_754
  <=> n5 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_754])]) ).

fof(f1149,plain,
    n5 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f5230,plain,
    ~ spl2_753,
    inference(avatar_split_clause,[],[f803,f5227]) ).

fof(f5227,plain,
    ( spl2_753
  <=> n4 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_753])]) ).

fof(f803,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f5225,plain,
    spl2_752,
    inference(avatar_split_clause,[],[f946,f5222]) ).

fof(f5222,plain,
    ( spl2_752
  <=> n5 = sum(n13,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_752])]) ).

fof(f946,plain,
    n5 = sum(n13,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f5220,plain,
    ~ spl2_751,
    inference(avatar_split_clause,[],[f1036,f5217]) ).

fof(f5217,plain,
    ( spl2_751
  <=> n19 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_751])]) ).

fof(f1036,plain,
    n19 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f5215,plain,
    spl2_750,
    inference(avatar_split_clause,[],[f776,f5212]) ).

fof(f5212,plain,
    ( spl2_750
  <=> n11 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_750])]) ).

fof(f776,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f5210,plain,
    ~ spl2_749,
    inference(avatar_split_clause,[],[f972,f5207]) ).

fof(f5207,plain,
    ( spl2_749
  <=> n27 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_749])]) ).

fof(f972,plain,
    n27 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f5205,plain,
    spl2_748,
    inference(avatar_split_clause,[],[f234,f5202]) ).

fof(f5202,plain,
    ( spl2_748
  <=> n4 = sum(n25,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_748])]) ).

fof(f234,plain,
    n4 = sum(n25,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f5200,plain,
    ~ spl2_747,
    inference(avatar_split_clause,[],[f915,f5197]) ).

fof(f5197,plain,
    ( spl2_747
  <=> n9 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_747])]) ).

fof(f915,plain,
    n9 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f5195,plain,
    spl2_746,
    inference(avatar_split_clause,[],[f1012,f5192]) ).

fof(f5192,plain,
    ( spl2_746
  <=> n26 = sum(n21,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_746])]) ).

fof(f1012,plain,
    n26 = sum(n21,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f5190,plain,
    spl2_745,
    inference(avatar_split_clause,[],[f1097,f5187]) ).

fof(f5187,plain,
    ( spl2_745
  <=> n20 = sum(n4,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_745])]) ).

fof(f1097,plain,
    n20 = sum(n4,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f5185,plain,
    ~ spl2_744,
    inference(avatar_split_clause,[],[f435,f5182]) ).

fof(f5182,plain,
    ( spl2_744
  <=> n3 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_744])]) ).

fof(f435,plain,
    n3 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f5180,plain,
    spl2_743,
    inference(avatar_split_clause,[],[f683,f5177]) ).

fof(f5177,plain,
    ( spl2_743
  <=> n14 = sum(n25,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_743])]) ).

fof(f683,plain,
    n14 = sum(n25,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f5175,plain,
    ~ spl2_742,
    inference(avatar_split_clause,[],[f52,f5172]) ).

fof(f5172,plain,
    ( spl2_742
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_742])]) ).

fof(f52,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f4]) ).

fof(f5170,plain,
    spl2_741,
    inference(avatar_split_clause,[],[f218,f5167]) ).

fof(f5167,plain,
    ( spl2_741
  <=> n18 = sum(n7,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_741])]) ).

fof(f218,plain,
    n18 = sum(n7,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f5165,plain,
    spl2_740,
    inference(avatar_split_clause,[],[f825,f5162]) ).

fof(f5162,plain,
    ( spl2_740
  <=> n3 = sum(n6,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_740])]) ).

fof(f825,plain,
    n3 = sum(n6,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f5160,plain,
    ~ spl2_739,
    inference(avatar_split_clause,[],[f1246,f5157]) ).

fof(f5157,plain,
    ( spl2_739
  <=> n6 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_739])]) ).

fof(f1246,plain,
    n6 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f5155,plain,
    spl2_738,
    inference(avatar_split_clause,[],[f36,f5152]) ).

fof(f5152,plain,
    ( spl2_738
  <=> n24 = sum(n17,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_738])]) ).

fof(f36,plain,
    n24 = sum(n17,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f5150,plain,
    spl2_737,
    inference(avatar_split_clause,[],[f1355,f5147]) ).

fof(f5147,plain,
    ( spl2_737
  <=> n23 = sum(n20,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_737])]) ).

fof(f1355,plain,
    n23 = sum(n20,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5145,plain,
    spl2_736,
    inference(avatar_split_clause,[],[f1077,f5142]) ).

fof(f5142,plain,
    ( spl2_736
  <=> n23 = sum(n0,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_736])]) ).

fof(f1077,plain,
    n23 = sum(n0,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f5140,plain,
    spl2_735,
    inference(avatar_split_clause,[],[f1445,f5137]) ).

fof(f5137,plain,
    ( spl2_735
  <=> n2 = sum(n17,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_735])]) ).

fof(f1445,plain,
    n2 = sum(n17,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f5135,plain,
    ~ spl2_734,
    inference(avatar_split_clause,[],[f997,f5132]) ).

fof(f5132,plain,
    ( spl2_734
  <=> n10 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_734])]) ).

fof(f997,plain,
    n10 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f5130,plain,
    spl2_733,
    inference(avatar_split_clause,[],[f519,f5127]) ).

fof(f5127,plain,
    ( spl2_733
  <=> n23 = sum(n22,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_733])]) ).

fof(f519,plain,
    n23 = sum(n22,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f5125,plain,
    ~ spl2_732,
    inference(avatar_split_clause,[],[f598,f5122]) ).

fof(f5122,plain,
    ( spl2_732
  <=> n19 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_732])]) ).

fof(f598,plain,
    n19 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f5120,plain,
    spl2_731,
    inference(avatar_split_clause,[],[f974,f5117]) ).

fof(f5117,plain,
    ( spl2_731
  <=> n14 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_731])]) ).

fof(f974,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f5115,plain,
    ~ spl2_730,
    inference(avatar_split_clause,[],[f922,f5112]) ).

fof(f5112,plain,
    ( spl2_730
  <=> n5 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_730])]) ).

fof(f922,plain,
    n5 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f5110,plain,
    spl2_729,
    inference(avatar_split_clause,[],[f1314,f5107]) ).

fof(f5107,plain,
    ( spl2_729
  <=> n0 = sum(n30,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_729])]) ).

fof(f1314,plain,
    n0 = sum(n30,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f5105,plain,
    spl2_728,
    inference(avatar_split_clause,[],[f739,f5102]) ).

fof(f5102,plain,
    ( spl2_728
  <=> n0 = sum(n26,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_728])]) ).

fof(f739,plain,
    n0 = sum(n26,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f5100,plain,
    ~ spl2_727,
    inference(avatar_split_clause,[],[f364,f5097]) ).

fof(f5097,plain,
    ( spl2_727
  <=> n18 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_727])]) ).

fof(f364,plain,
    n18 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f5095,plain,
    spl2_726,
    inference(avatar_split_clause,[],[f619,f5092]) ).

fof(f5092,plain,
    ( spl2_726
  <=> n28 = sum(n9,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_726])]) ).

fof(f619,plain,
    n28 = sum(n9,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f5090,plain,
    ~ spl2_725,
    inference(avatar_split_clause,[],[f697,f5087]) ).

fof(f5087,plain,
    ( spl2_725
  <=> n7 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_725])]) ).

fof(f697,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f5085,plain,
    spl2_724,
    inference(avatar_split_clause,[],[f1213,f5082]) ).

fof(f5082,plain,
    ( spl2_724
  <=> n0 = sum(n7,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_724])]) ).

fof(f1213,plain,
    n0 = sum(n7,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f5080,plain,
    spl2_723,
    inference(avatar_split_clause,[],[f224,f5077]) ).

fof(f5077,plain,
    ( spl2_723
  <=> n6 = sum(n17,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_723])]) ).

fof(f224,plain,
    n6 = sum(n17,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f5075,plain,
    spl2_722,
    inference(avatar_split_clause,[],[f1050,f5072]) ).

fof(f5072,plain,
    ( spl2_722
  <=> n16 = sum(n4,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_722])]) ).

fof(f1050,plain,
    n16 = sum(n4,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f5070,plain,
    spl2_721,
    inference(avatar_split_clause,[],[f151,f5067]) ).

fof(f5067,plain,
    ( spl2_721
  <=> n10 = sum(n22,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_721])]) ).

fof(f151,plain,
    n10 = sum(n22,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f5065,plain,
    spl2_720,
    inference(avatar_split_clause,[],[f993,f5062]) ).

fof(f5062,plain,
    ( spl2_720
  <=> n3 = sum(n18,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_720])]) ).

fof(f993,plain,
    n3 = sum(n18,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f5060,plain,
    ~ spl2_719,
    inference(avatar_split_clause,[],[f1054,f5057]) ).

fof(f5057,plain,
    ( spl2_719
  <=> n8 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_719])]) ).

fof(f1054,plain,
    n8 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f5055,plain,
    spl2_718,
    inference(avatar_split_clause,[],[f1428,f5052]) ).

fof(f5052,plain,
    ( spl2_718
  <=> n29 = sum(n27,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_718])]) ).

fof(f1428,plain,
    n29 = sum(n27,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f5050,plain,
    spl2_717,
    inference(avatar_split_clause,[],[f278,f5047]) ).

fof(f5047,plain,
    ( spl2_717
  <=> n8 = sum(n27,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_717])]) ).

fof(f278,plain,
    n8 = sum(n27,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f5045,plain,
    spl2_716,
    inference(avatar_split_clause,[],[f488,f5042]) ).

fof(f5042,plain,
    ( spl2_716
  <=> n18 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_716])]) ).

fof(f488,plain,
    n18 = sum(n9,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f5040,plain,
    spl2_715,
    inference(avatar_split_clause,[],[f464,f5037]) ).

fof(f5037,plain,
    ( spl2_715
  <=> n26 = sum(n27,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_715])]) ).

fof(f464,plain,
    n26 = sum(n27,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f5035,plain,
    spl2_714,
    inference(avatar_split_clause,[],[f765,f5032]) ).

fof(f5032,plain,
    ( spl2_714
  <=> n0 = sum(n20,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_714])]) ).

fof(f765,plain,
    n0 = sum(n20,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f5030,plain,
    spl2_713,
    inference(avatar_split_clause,[],[f1426,f5027]) ).

fof(f5027,plain,
    ( spl2_713
  <=> n14 = sum(n11,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_713])]) ).

fof(f1426,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5025,plain,
    spl2_712,
    inference(avatar_split_clause,[],[f1464,f5022]) ).

fof(f5022,plain,
    ( spl2_712
  <=> n0 = sum(n25,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_712])]) ).

fof(f1464,plain,
    n0 = sum(n25,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f5020,plain,
    spl2_711,
    inference(avatar_split_clause,[],[f1475,f5017]) ).

fof(f5017,plain,
    ( spl2_711
  <=> n28 = sum(n5,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_711])]) ).

fof(f1475,plain,
    n28 = sum(n5,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f5015,plain,
    spl2_710,
    inference(avatar_split_clause,[],[f379,f5012]) ).

fof(f5012,plain,
    ( spl2_710
  <=> n25 = sum(n20,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_710])]) ).

fof(f379,plain,
    n25 = sum(n20,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f5010,plain,
    ~ spl2_709,
    inference(avatar_split_clause,[],[f812,f5007]) ).

fof(f5007,plain,
    ( spl2_709
  <=> n15 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_709])]) ).

fof(f812,plain,
    n15 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f5005,plain,
    spl2_708,
    inference(avatar_split_clause,[],[f1223,f5002]) ).

fof(f5002,plain,
    ( spl2_708
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_708])]) ).

fof(f1223,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f5000,plain,
    ~ spl2_707,
    inference(avatar_split_clause,[],[f517,f4997]) ).

fof(f4997,plain,
    ( spl2_707
  <=> n6 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_707])]) ).

fof(f517,plain,
    n6 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f4995,plain,
    spl2_706,
    inference(avatar_split_clause,[],[f975,f4992]) ).

fof(f4992,plain,
    ( spl2_706
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_706])]) ).

fof(f975,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f4990,plain,
    spl2_705,
    inference(avatar_split_clause,[],[f84,f4987]) ).

fof(f4987,plain,
    ( spl2_705
  <=> n20 = sum(n5,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_705])]) ).

fof(f84,plain,
    n20 = sum(n5,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f4985,plain,
    spl2_704,
    inference(avatar_split_clause,[],[f743,f4982]) ).

fof(f4982,plain,
    ( spl2_704
  <=> n28 = sum(n20,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_704])]) ).

fof(f743,plain,
    n28 = sum(n20,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f4980,plain,
    spl2_703,
    inference(avatar_split_clause,[],[f804,f4977]) ).

fof(f4977,plain,
    ( spl2_703
  <=> n20 = sum(n27,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_703])]) ).

fof(f804,plain,
    n20 = sum(n27,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f4975,plain,
    spl2_702,
    inference(avatar_split_clause,[],[f640,f4972]) ).

fof(f4972,plain,
    ( spl2_702
  <=> n4 = sum(n27,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_702])]) ).

fof(f640,plain,
    n4 = sum(n27,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f4970,plain,
    spl2_701,
    inference(avatar_split_clause,[],[f923,f4967]) ).

fof(f4967,plain,
    ( spl2_701
  <=> n1 = sum(n18,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_701])]) ).

fof(f923,plain,
    n1 = sum(n18,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f4965,plain,
    ~ spl2_700,
    inference(avatar_split_clause,[],[f1059,f4962]) ).

fof(f4962,plain,
    ( spl2_700
  <=> n4 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_700])]) ).

fof(f1059,plain,
    n4 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f4960,plain,
    spl2_699,
    inference(avatar_split_clause,[],[f906,f4957]) ).

fof(f4957,plain,
    ( spl2_699
  <=> succ(n27) = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_699])]) ).

fof(f906,plain,
    succ(n27) = n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f4955,plain,
    spl2_698,
    inference(avatar_split_clause,[],[f1403,f4952]) ).

fof(f4952,plain,
    ( spl2_698
  <=> n14 = sum(n24,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_698])]) ).

fof(f1403,plain,
    n14 = sum(n24,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f4950,plain,
    spl2_697,
    inference(avatar_split_clause,[],[f417,f4947]) ).

fof(f4947,plain,
    ( spl2_697
  <=> succ(n14) = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_697])]) ).

fof(f417,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f4945,plain,
    spl2_696,
    inference(avatar_split_clause,[],[f753,f4942]) ).

fof(f4942,plain,
    ( spl2_696
  <=> n25 = sum(n23,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_696])]) ).

fof(f753,plain,
    n25 = sum(n23,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f4940,plain,
    spl2_695,
    inference(avatar_split_clause,[],[f1422,f4937]) ).

fof(f4937,plain,
    ( spl2_695
  <=> n22 = sum(n1,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_695])]) ).

fof(f1422,plain,
    n22 = sum(n1,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f4935,plain,
    spl2_694,
    inference(avatar_split_clause,[],[f783,f4932]) ).

fof(f4932,plain,
    ( spl2_694
  <=> n28 = sum(n17,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_694])]) ).

fof(f783,plain,
    n28 = sum(n17,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f4930,plain,
    spl2_693,
    inference(avatar_split_clause,[],[f198,f4927]) ).

fof(f4927,plain,
    ( spl2_693
  <=> n27 = sum(n0,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_693])]) ).

fof(f198,plain,
    n27 = sum(n0,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4925,plain,
    ~ spl2_692,
    inference(avatar_split_clause,[],[f373,f4922]) ).

fof(f4922,plain,
    ( spl2_692
  <=> n0 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_692])]) ).

fof(f373,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f4920,plain,
    ~ spl2_691,
    inference(avatar_split_clause,[],[f981,f4917]) ).

fof(f4917,plain,
    ( spl2_691
  <=> n12 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_691])]) ).

fof(f981,plain,
    n12 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f4915,plain,
    spl2_690,
    inference(avatar_split_clause,[],[f1391,f4912]) ).

fof(f4912,plain,
    ( spl2_690
  <=> n13 = sum(n11,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_690])]) ).

fof(f1391,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f4910,plain,
    spl2_689,
    inference(avatar_split_clause,[],[f724,f4907]) ).

fof(f4907,plain,
    ( spl2_689
  <=> n21 = sum(n5,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_689])]) ).

fof(f724,plain,
    n21 = sum(n5,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f4905,plain,
    spl2_688,
    inference(avatar_split_clause,[],[f693,f4902]) ).

fof(f4902,plain,
    ( spl2_688
  <=> n13 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_688])]) ).

fof(f693,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f4900,plain,
    spl2_687,
    inference(avatar_split_clause,[],[f1250,f4897]) ).

fof(f4897,plain,
    ( spl2_687
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_687])]) ).

fof(f1250,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4895,plain,
    spl2_686,
    inference(avatar_split_clause,[],[f77,f4892]) ).

fof(f4892,plain,
    ( spl2_686
  <=> n14 = sum(n3,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_686])]) ).

fof(f77,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f4890,plain,
    spl2_685,
    inference(avatar_split_clause,[],[f1219,f4887]) ).

fof(f4887,plain,
    ( spl2_685
  <=> n2 = sum(n25,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_685])]) ).

fof(f1219,plain,
    n2 = sum(n25,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f4885,plain,
    spl2_684,
    inference(avatar_split_clause,[],[f1199,f4882]) ).

fof(f4882,plain,
    ( spl2_684
  <=> n23 = sum(n2,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_684])]) ).

fof(f1199,plain,
    n23 = sum(n2,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f4880,plain,
    spl2_683,
    inference(avatar_split_clause,[],[f1406,f4877]) ).

fof(f4877,plain,
    ( spl2_683
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_683])]) ).

fof(f1406,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f4875,plain,
    ~ spl2_682,
    inference(avatar_split_clause,[],[f921,f4872]) ).

fof(f4872,plain,
    ( spl2_682
  <=> n4 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_682])]) ).

fof(f921,plain,
    n4 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f4870,plain,
    spl2_681,
    inference(avatar_split_clause,[],[f144,f4867]) ).

fof(f4867,plain,
    ( spl2_681
  <=> n7 = sum(n13,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_681])]) ).

fof(f144,plain,
    n7 = sum(n13,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f4865,plain,
    spl2_680,
    inference(avatar_split_clause,[],[f1482,f4862]) ).

fof(f4862,plain,
    ( spl2_680
  <=> n24 = sum(n28,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_680])]) ).

fof(f1482,plain,
    n24 = sum(n28,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4860,plain,
    spl2_679,
    inference(avatar_split_clause,[],[f909,f4857]) ).

fof(f4857,plain,
    ( spl2_679
  <=> n22 = sum(n9,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_679])]) ).

fof(f909,plain,
    n22 = sum(n9,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f4855,plain,
    spl2_678,
    inference(avatar_split_clause,[],[f627,f4852]) ).

fof(f4852,plain,
    ( spl2_678
  <=> n15 = sum(n14,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_678])]) ).

fof(f627,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4850,plain,
    ~ spl2_677,
    inference(avatar_split_clause,[],[f414,f4847]) ).

fof(f4847,plain,
    ( spl2_677
  <=> n17 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_677])]) ).

fof(f414,plain,
    n17 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f4845,plain,
    ~ spl2_676,
    inference(avatar_split_clause,[],[f1297,f4842]) ).

fof(f4842,plain,
    ( spl2_676
  <=> n9 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_676])]) ).

fof(f1297,plain,
    n9 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f4840,plain,
    spl2_675,
    inference(avatar_split_clause,[],[f1112,f4837]) ).

fof(f4837,plain,
    ( spl2_675
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_675])]) ).

fof(f1112,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4835,plain,
    spl2_674,
    inference(avatar_split_clause,[],[f854,f4832]) ).

fof(f4832,plain,
    ( spl2_674
  <=> n19 = sum(n20,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_674])]) ).

fof(f854,plain,
    n19 = sum(n20,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f4830,plain,
    ~ spl2_673,
    inference(avatar_split_clause,[],[f261,f4827]) ).

fof(f4827,plain,
    ( spl2_673
  <=> n11 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_673])]) ).

fof(f261,plain,
    n11 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f4825,plain,
    spl2_672,
    inference(avatar_split_clause,[],[f1360,f4822]) ).

fof(f4822,plain,
    ( spl2_672
  <=> n24 = sum(n15,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_672])]) ).

fof(f1360,plain,
    n24 = sum(n15,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f4820,plain,
    spl2_671,
    inference(avatar_split_clause,[],[f632,f4817]) ).

fof(f4817,plain,
    ( spl2_671
  <=> n2 = sum(n7,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_671])]) ).

fof(f632,plain,
    n2 = sum(n7,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f4815,plain,
    spl2_670,
    inference(avatar_split_clause,[],[f943,f4812]) ).

fof(f4812,plain,
    ( spl2_670
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_670])]) ).

fof(f943,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f4810,plain,
    ~ spl2_669,
    inference(avatar_split_clause,[],[f1187,f4807]) ).

fof(f4807,plain,
    ( spl2_669
  <=> n16 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_669])]) ).

fof(f1187,plain,
    n16 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f4805,plain,
    ~ spl2_668,
    inference(avatar_split_clause,[],[f1256,f4802]) ).

fof(f4802,plain,
    ( spl2_668
  <=> n25 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_668])]) ).

fof(f1256,plain,
    n25 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f4800,plain,
    ~ spl2_667,
    inference(avatar_split_clause,[],[f124,f4797]) ).

fof(f4797,plain,
    ( spl2_667
  <=> n11 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_667])]) ).

fof(f124,plain,
    n11 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f4795,plain,
    spl2_666,
    inference(avatar_split_clause,[],[f542,f4792]) ).

fof(f4792,plain,
    ( spl2_666
  <=> n9 = sum(n11,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_666])]) ).

fof(f542,plain,
    n9 = sum(n11,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f4790,plain,
    ~ spl2_665,
    inference(avatar_split_clause,[],[f447,f4787]) ).

fof(f4787,plain,
    ( spl2_665
  <=> n5 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_665])]) ).

fof(f447,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f4785,plain,
    spl2_664,
    inference(avatar_split_clause,[],[f1260,f4782]) ).

fof(f4782,plain,
    ( spl2_664
  <=> n24 = sum(n10,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_664])]) ).

fof(f1260,plain,
    n24 = sum(n10,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f4780,plain,
    spl2_663,
    inference(avatar_split_clause,[],[f572,f4777]) ).

fof(f4777,plain,
    ( spl2_663
  <=> n4 = sum(n9,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_663])]) ).

fof(f572,plain,
    n4 = sum(n9,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f4775,plain,
    spl2_662,
    inference(avatar_split_clause,[],[f1215,f4772]) ).

fof(f4772,plain,
    ( spl2_662
  <=> n13 = pred(n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_662])]) ).

fof(f1215,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f4770,plain,
    spl2_661,
    inference(avatar_split_clause,[],[f994,f4767]) ).

fof(f4767,plain,
    ( spl2_661
  <=> n7 = sum(n19,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_661])]) ).

fof(f994,plain,
    n7 = sum(n19,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f4765,plain,
    spl2_660,
    inference(avatar_split_clause,[],[f410,f4762]) ).

fof(f4762,plain,
    ( spl2_660
  <=> n8 = sum(n14,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_660])]) ).

fof(f410,plain,
    n8 = sum(n14,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f4760,plain,
    spl2_659,
    inference(avatar_split_clause,[],[f1319,f4757]) ).

fof(f4757,plain,
    ( spl2_659
  <=> n29 = sum(n3,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_659])]) ).

fof(f1319,plain,
    n29 = sum(n3,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f4755,plain,
    spl2_658,
    inference(avatar_split_clause,[],[f1358,f4752]) ).

fof(f4752,plain,
    ( spl2_658
  <=> n23 = sum(n27,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_658])]) ).

fof(f1358,plain,
    n23 = sum(n27,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4750,plain,
    ~ spl2_657,
    inference(avatar_split_clause,[],[f1195,f4747]) ).

fof(f4747,plain,
    ( spl2_657
  <=> n6 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_657])]) ).

fof(f1195,plain,
    n6 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f4745,plain,
    spl2_656,
    inference(avatar_split_clause,[],[f636,f4742]) ).

fof(f4742,plain,
    ( spl2_656
  <=> n7 = sum(n24,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_656])]) ).

fof(f636,plain,
    n7 = sum(n24,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f4740,plain,
    spl2_655,
    inference(avatar_split_clause,[],[f1141,f4737]) ).

fof(f4737,plain,
    ( spl2_655
  <=> n10 = sum(n14,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_655])]) ).

fof(f1141,plain,
    n10 = sum(n14,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4735,plain,
    ~ spl2_654,
    inference(avatar_split_clause,[],[f847,f4732]) ).

fof(f4732,plain,
    ( spl2_654
  <=> n5 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_654])]) ).

fof(f847,plain,
    n5 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f4730,plain,
    spl2_653,
    inference(avatar_split_clause,[],[f74,f4727]) ).

fof(f4727,plain,
    ( spl2_653
  <=> n27 = sum(n5,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_653])]) ).

fof(f74,plain,
    n27 = sum(n5,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f4725,plain,
    ~ spl2_652,
    inference(avatar_split_clause,[],[f443,f4722]) ).

fof(f4722,plain,
    ( spl2_652
  <=> n24 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_652])]) ).

fof(f443,plain,
    n24 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f4720,plain,
    spl2_651,
    inference(avatar_split_clause,[],[f947,f4717]) ).

fof(f4717,plain,
    ( spl2_651
  <=> n16 = sum(n0,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_651])]) ).

fof(f947,plain,
    n16 = sum(n0,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f4715,plain,
    spl2_650,
    inference(avatar_split_clause,[],[f262,f4712]) ).

fof(f4712,plain,
    ( spl2_650
  <=> n12 = sum(n12,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_650])]) ).

fof(f262,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4710,plain,
    spl2_649,
    inference(avatar_split_clause,[],[f20,f4707]) ).

fof(f4707,plain,
    ( spl2_649
  <=> n14 = sum(n16,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_649])]) ).

fof(f20,plain,
    n14 = sum(n16,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f4705,plain,
    ~ spl2_648,
    inference(avatar_split_clause,[],[f105,f4702]) ).

fof(f4702,plain,
    ( spl2_648
  <=> n1 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_648])]) ).

fof(f105,plain,
    n1 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f4700,plain,
    spl2_647,
    inference(avatar_split_clause,[],[f588,f4697]) ).

fof(f4697,plain,
    ( spl2_647
  <=> n5 = sum(n9,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_647])]) ).

fof(f588,plain,
    n5 = sum(n9,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4695,plain,
    spl2_646,
    inference(avatar_split_clause,[],[f158,f4692]) ).

fof(f4692,plain,
    ( spl2_646
  <=> n0 = sum(n2,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_646])]) ).

fof(f158,plain,
    n0 = sum(n2,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f4690,plain,
    ~ spl2_645,
    inference(avatar_split_clause,[],[f706,f4687]) ).

fof(f4687,plain,
    ( spl2_645
  <=> n12 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_645])]) ).

fof(f706,plain,
    n12 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f4685,plain,
    spl2_644,
    inference(avatar_split_clause,[],[f535,f4682]) ).

fof(f4682,plain,
    ( spl2_644
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_644])]) ).

fof(f535,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4680,plain,
    spl2_643,
    inference(avatar_split_clause,[],[f165,f4677]) ).

fof(f4677,plain,
    ( spl2_643
  <=> n26 = sum(n18,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_643])]) ).

fof(f165,plain,
    n26 = sum(n18,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f4675,plain,
    spl2_642,
    inference(avatar_split_clause,[],[f657,f4672]) ).

fof(f4672,plain,
    ( spl2_642
  <=> n16 = sum(n30,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_642])]) ).

fof(f657,plain,
    n16 = sum(n30,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f4670,plain,
    ~ spl2_641,
    inference(avatar_split_clause,[],[f729,f4667]) ).

fof(f4667,plain,
    ( spl2_641
  <=> n3 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_641])]) ).

fof(f729,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f4665,plain,
    spl2_640,
    inference(avatar_split_clause,[],[f764,f4662]) ).

fof(f4662,plain,
    ( spl2_640
  <=> succ(n22) = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_640])]) ).

fof(f764,plain,
    succ(n22) = n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f4660,plain,
    spl2_639,
    inference(avatar_split_clause,[],[f156,f4657]) ).

fof(f4657,plain,
    ( spl2_639
  <=> n21 = sum(n22,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_639])]) ).

fof(f156,plain,
    n21 = sum(n22,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f4655,plain,
    ~ spl2_638,
    inference(avatar_split_clause,[],[f1105,f4652]) ).

fof(f4652,plain,
    ( spl2_638
  <=> n9 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_638])]) ).

fof(f1105,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f4650,plain,
    ~ spl2_637,
    inference(avatar_split_clause,[],[f312,f4647]) ).

fof(f4647,plain,
    ( spl2_637
  <=> n17 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_637])]) ).

fof(f312,plain,
    n17 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f4645,plain,
    spl2_636,
    inference(avatar_split_clause,[],[f233,f4642]) ).

fof(f4642,plain,
    ( spl2_636
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_636])]) ).

fof(f233,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4640,plain,
    spl2_635,
    inference(avatar_split_clause,[],[f190,f4637]) ).

fof(f4637,plain,
    ( spl2_635
  <=> n0 = succ(n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_635])]) ).

fof(f190,plain,
    n0 = succ(n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f4635,plain,
    spl2_634,
    inference(avatar_split_clause,[],[f100,f4632]) ).

fof(f4632,plain,
    ( spl2_634
  <=> n3 = sum(n9,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_634])]) ).

fof(f100,plain,
    n3 = sum(n9,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f4630,plain,
    spl2_633,
    inference(avatar_split_clause,[],[f626,f4627]) ).

fof(f4627,plain,
    ( spl2_633
  <=> n1 = sum(n10,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_633])]) ).

fof(f626,plain,
    n1 = sum(n10,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f4625,plain,
    spl2_632,
    inference(avatar_split_clause,[],[f111,f4622]) ).

fof(f4622,plain,
    ( spl2_632
  <=> n28 = sum(n25,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_632])]) ).

fof(f111,plain,
    n28 = sum(n25,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f4620,plain,
    ~ spl2_631,
    inference(avatar_split_clause,[],[f326,f4617]) ).

fof(f4617,plain,
    ( spl2_631
  <=> n0 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_631])]) ).

fof(f326,plain,
    n0 != n6,
    inference(cnf_transformation,[],[f4]) ).

fof(f4615,plain,
    ~ spl2_630,
    inference(avatar_split_clause,[],[f1172,f4612]) ).

fof(f4612,plain,
    ( spl2_630
  <=> n4 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_630])]) ).

fof(f1172,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f4610,plain,
    spl2_629,
    inference(avatar_split_clause,[],[f1430,f4607]) ).

fof(f4607,plain,
    ( spl2_629
  <=> n23 = sum(n26,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_629])]) ).

fof(f1430,plain,
    n23 = sum(n26,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f4605,plain,
    ~ spl2_628,
    inference(avatar_split_clause,[],[f630,f4602]) ).

fof(f4602,plain,
    ( spl2_628
  <=> n7 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_628])]) ).

fof(f630,plain,
    n7 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f4600,plain,
    spl2_627,
    inference(avatar_split_clause,[],[f1158,f4597]) ).

fof(f4597,plain,
    ( spl2_627
  <=> n15 = sum(n25,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_627])]) ).

fof(f1158,plain,
    n15 = sum(n25,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f4595,plain,
    spl2_626,
    inference(avatar_split_clause,[],[f192,f4592]) ).

fof(f4592,plain,
    ( spl2_626
  <=> n29 = sum(n17,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_626])]) ).

fof(f192,plain,
    n29 = sum(n17,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f4590,plain,
    spl2_625,
    inference(avatar_split_clause,[],[f418,f4587]) ).

fof(f4587,plain,
    ( spl2_625
  <=> n6 = sum(n15,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_625])]) ).

fof(f418,plain,
    n6 = sum(n15,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f4585,plain,
    spl2_624,
    inference(avatar_split_clause,[],[f250,f4582]) ).

fof(f4582,plain,
    ( spl2_624
  <=> n19 = sum(n14,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_624])]) ).

fof(f250,plain,
    n19 = sum(n14,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f4580,plain,
    spl2_623,
    inference(avatar_split_clause,[],[f1312,f4577]) ).

fof(f4577,plain,
    ( spl2_623
  <=> n13 = sum(n30,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_623])]) ).

fof(f1312,plain,
    n13 = sum(n30,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f4575,plain,
    ~ spl2_622,
    inference(avatar_split_clause,[],[f420,f4572]) ).

fof(f4572,plain,
    ( spl2_622
  <=> n8 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_622])]) ).

fof(f420,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f4570,plain,
    ~ spl2_621,
    inference(avatar_split_clause,[],[f606,f4567]) ).

fof(f4567,plain,
    ( spl2_621
  <=> n5 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_621])]) ).

fof(f606,plain,
    n5 != n7,
    inference(cnf_transformation,[],[f4]) ).

fof(f4565,plain,
    ~ spl2_620,
    inference(avatar_split_clause,[],[f241,f4562]) ).

fof(f4562,plain,
    ( spl2_620
  <=> n0 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_620])]) ).

fof(f241,plain,
    n0 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f4560,plain,
    spl2_619,
    inference(avatar_split_clause,[],[f460,f4557]) ).

fof(f4557,plain,
    ( spl2_619
  <=> n25 = sum(n1,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_619])]) ).

fof(f460,plain,
    n25 = sum(n1,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f4555,plain,
    spl2_618,
    inference(avatar_split_clause,[],[f166,f4552]) ).

fof(f4552,plain,
    ( spl2_618
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_618])]) ).

fof(f166,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f4550,plain,
    spl2_617,
    inference(avatar_split_clause,[],[f325,f4547]) ).

fof(f4547,plain,
    ( spl2_617
  <=> n9 = sum(n20,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_617])]) ).

fof(f325,plain,
    n9 = sum(n20,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f4545,plain,
    spl2_616,
    inference(avatar_split_clause,[],[f1441,f4542]) ).

fof(f4542,plain,
    ( spl2_616
  <=> n24 = sum(n23,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_616])]) ).

fof(f1441,plain,
    n24 = sum(n23,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4540,plain,
    ~ spl2_615,
    inference(avatar_split_clause,[],[f998,f4537]) ).

fof(f4537,plain,
    ( spl2_615
  <=> n12 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_615])]) ).

fof(f998,plain,
    n12 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f4535,plain,
    ~ spl2_614,
    inference(avatar_split_clause,[],[f790,f4532]) ).

fof(f4532,plain,
    ( spl2_614
  <=> n14 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_614])]) ).

fof(f790,plain,
    n14 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f4530,plain,
    spl2_613,
    inference(avatar_split_clause,[],[f721,f4527]) ).

fof(f4527,plain,
    ( spl2_613
  <=> n14 = sum(n18,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_613])]) ).

fof(f721,plain,
    n14 = sum(n18,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4525,plain,
    spl2_612,
    inference(avatar_split_clause,[],[f135,f4522]) ).

fof(f4522,plain,
    ( spl2_612
  <=> n14 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_612])]) ).

fof(f135,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f4520,plain,
    spl2_611,
    inference(avatar_split_clause,[],[f886,f4517]) ).

fof(f4517,plain,
    ( spl2_611
  <=> n0 = sum(n8,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_611])]) ).

fof(f886,plain,
    n0 = sum(n8,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f4515,plain,
    spl2_610,
    inference(avatar_split_clause,[],[f164,f4512]) ).

fof(f4512,plain,
    ( spl2_610
  <=> n1 = sum(n22,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_610])]) ).

fof(f164,plain,
    n1 = sum(n22,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f4510,plain,
    spl2_609,
    inference(avatar_split_clause,[],[f875,f4507]) ).

fof(f4507,plain,
    ( spl2_609
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_609])]) ).

fof(f875,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f4505,plain,
    spl2_608,
    inference(avatar_split_clause,[],[f1022,f4502]) ).

fof(f4502,plain,
    ( spl2_608
  <=> n10 = sum(n28,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_608])]) ).

fof(f1022,plain,
    n10 = sum(n28,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f4500,plain,
    ~ spl2_607,
    inference(avatar_split_clause,[],[f43,f4497]) ).

fof(f4497,plain,
    ( spl2_607
  <=> n17 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_607])]) ).

fof(f43,plain,
    n17 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f4495,plain,
    spl2_606,
    inference(avatar_split_clause,[],[f1366,f4492]) ).

fof(f4492,plain,
    ( spl2_606
  <=> n8 = sum(n19,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_606])]) ).

fof(f1366,plain,
    n8 = sum(n19,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f4490,plain,
    spl2_605,
    inference(avatar_split_clause,[],[f937,f4487]) ).

fof(f4487,plain,
    ( spl2_605
  <=> n26 = sum(n24,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_605])]) ).

fof(f937,plain,
    n26 = sum(n24,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f4485,plain,
    ~ spl2_604,
    inference(avatar_split_clause,[],[f1196,f4482]) ).

fof(f4482,plain,
    ( spl2_604
  <=> n9 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_604])]) ).

fof(f1196,plain,
    n9 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f4480,plain,
    ~ spl2_603,
    inference(avatar_split_clause,[],[f1331,f4477]) ).

fof(f4477,plain,
    ( spl2_603
  <=> n21 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_603])]) ).

fof(f1331,plain,
    n21 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f4475,plain,
    spl2_602,
    inference(avatar_split_clause,[],[f1183,f4472]) ).

fof(f4472,plain,
    ( spl2_602
  <=> n18 = sum(n6,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_602])]) ).

fof(f1183,plain,
    n18 = sum(n6,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f4470,plain,
    ~ spl2_601,
    inference(avatar_split_clause,[],[f1399,f4467]) ).

fof(f4467,plain,
    ( spl2_601
  <=> n10 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_601])]) ).

fof(f1399,plain,
    n10 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f4465,plain,
    spl2_600,
    inference(avatar_split_clause,[],[f1218,f4462]) ).

fof(f4462,plain,
    ( spl2_600
  <=> n13 = sum(n24,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_600])]) ).

fof(f1218,plain,
    n13 = sum(n24,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f4460,plain,
    spl2_599,
    inference(avatar_split_clause,[],[f73,f4457]) ).

fof(f4457,plain,
    ( spl2_599
  <=> n17 = sum(n1,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_599])]) ).

fof(f73,plain,
    n17 = sum(n1,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f4455,plain,
    ~ spl2_598,
    inference(avatar_split_clause,[],[f1238,f4452]) ).

fof(f4452,plain,
    ( spl2_598
  <=> n0 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_598])]) ).

fof(f1238,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f4450,plain,
    ~ spl2_597,
    inference(avatar_split_clause,[],[f297,f4447]) ).

fof(f4447,plain,
    ( spl2_597
  <=> n20 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_597])]) ).

fof(f297,plain,
    n20 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f4445,plain,
    spl2_596,
    inference(avatar_split_clause,[],[f631,f4442]) ).

fof(f4442,plain,
    ( spl2_596
  <=> n26 = sum(n0,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_596])]) ).

fof(f631,plain,
    n26 = sum(n0,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f4440,plain,
    spl2_595,
    inference(avatar_split_clause,[],[f148,f4437]) ).

fof(f4437,plain,
    ( spl2_595
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_595])]) ).

fof(f148,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f4435,plain,
    ~ spl2_594,
    inference(avatar_split_clause,[],[f1494,f4432]) ).

fof(f4432,plain,
    ( spl2_594
  <=> n17 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_594])]) ).

fof(f1494,plain,
    n17 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f4430,plain,
    spl2_593,
    inference(avatar_split_clause,[],[f775,f4427]) ).

fof(f4427,plain,
    ( spl2_593
  <=> n15 = pred(n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_593])]) ).

fof(f775,plain,
    n15 = pred(n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f4425,plain,
    spl2_592,
    inference(avatar_split_clause,[],[f624,f4422]) ).

fof(f4422,plain,
    ( spl2_592
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_592])]) ).

fof(f624,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f4420,plain,
    spl2_591,
    inference(avatar_split_clause,[],[f1049,f4417]) ).

fof(f4417,plain,
    ( spl2_591
  <=> n8 = sum(n18,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_591])]) ).

fof(f1049,plain,
    n8 = sum(n18,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f4415,plain,
    spl2_590,
    inference(avatar_split_clause,[],[f1459,f4412]) ).

fof(f4412,plain,
    ( spl2_590
  <=> n19 = sum(n7,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_590])]) ).

fof(f1459,plain,
    n19 = sum(n7,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f4410,plain,
    ~ spl2_589,
    inference(avatar_split_clause,[],[f514,f4407]) ).

fof(f4407,plain,
    ( spl2_589
  <=> n7 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_589])]) ).

fof(f514,plain,
    n7 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f4405,plain,
    ~ spl2_588,
    inference(avatar_split_clause,[],[f821,f4402]) ).

fof(f4402,plain,
    ( spl2_588
  <=> n3 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_588])]) ).

fof(f821,plain,
    n3 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f4400,plain,
    spl2_587,
    inference(avatar_split_clause,[],[f133,f4397]) ).

fof(f4397,plain,
    ( spl2_587
  <=> n6 = sum(n21,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_587])]) ).

fof(f133,plain,
    n6 = sum(n21,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f4395,plain,
    spl2_586,
    inference(avatar_split_clause,[],[f665,f4392]) ).

fof(f4392,plain,
    ( spl2_586
  <=> n0 = sum(n12,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_586])]) ).

fof(f665,plain,
    n0 = sum(n12,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f4390,plain,
    ~ spl2_585,
    inference(avatar_split_clause,[],[f515,f4387]) ).

fof(f4387,plain,
    ( spl2_585
  <=> n7 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_585])]) ).

fof(f515,plain,
    n7 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f4385,plain,
    spl2_584,
    inference(avatar_split_clause,[],[f230,f4382]) ).

fof(f4382,plain,
    ( spl2_584
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_584])]) ).

fof(f230,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f4380,plain,
    spl2_583,
    inference(avatar_split_clause,[],[f537,f4377]) ).

fof(f4377,plain,
    ( spl2_583
  <=> n3 = sum(n8,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_583])]) ).

fof(f537,plain,
    n3 = sum(n8,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f4375,plain,
    ~ spl2_582,
    inference(avatar_split_clause,[],[f1335,f4372]) ).

fof(f4372,plain,
    ( spl2_582
  <=> sum(sum(pred(sK1),succ(sK0)),sum(pred(sK0),succ(sK1))) = sum(sum(pred(sK1),succ(sK1)),sum(pred(sK0),succ(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_582])]) ).

fof(f1335,plain,
    sum(sum(pred(sK1),succ(sK0)),sum(pred(sK0),succ(sK1))) != sum(sum(pred(sK1),succ(sK1)),sum(pred(sK0),succ(sK0))),
    inference(cnf_transformation,[],[f4]) ).

fof(f4370,plain,
    spl2_581,
    inference(avatar_split_clause,[],[f502,f4367]) ).

fof(f4367,plain,
    ( spl2_581
  <=> n6 = sum(n28,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_581])]) ).

fof(f502,plain,
    n6 = sum(n28,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f4365,plain,
    ~ spl2_580,
    inference(avatar_split_clause,[],[f1385,f4362]) ).

fof(f4362,plain,
    ( spl2_580
  <=> n23 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_580])]) ).

fof(f1385,plain,
    n23 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f4360,plain,
    ~ spl2_579,
    inference(avatar_split_clause,[],[f128,f4357]) ).

fof(f4357,plain,
    ( spl2_579
  <=> n19 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_579])]) ).

fof(f128,plain,
    n19 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f4355,plain,
    spl2_578,
    inference(avatar_split_clause,[],[f752,f4352]) ).

fof(f4352,plain,
    ( spl2_578
  <=> n30 = sum(n14,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_578])]) ).

fof(f752,plain,
    n30 = sum(n14,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f4350,plain,
    spl2_577,
    inference(avatar_split_clause,[],[f1423,f4347]) ).

fof(f4347,plain,
    ( spl2_577
  <=> n6 = sum(n29,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_577])]) ).

fof(f1423,plain,
    n6 = sum(n29,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f4345,plain,
    spl2_576,
    inference(avatar_split_clause,[],[f31,f4342]) ).

fof(f4342,plain,
    ( spl2_576
  <=> n4 = sum(n21,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_576])]) ).

fof(f31,plain,
    n4 = sum(n21,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f4340,plain,
    ~ spl2_575,
    inference(avatar_split_clause,[],[f567,f4337]) ).

fof(f4337,plain,
    ( spl2_575
  <=> n13 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_575])]) ).

fof(f567,plain,
    n13 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f4335,plain,
    spl2_574,
    inference(avatar_split_clause,[],[f1124,f4332]) ).

fof(f4332,plain,
    ( spl2_574
  <=> n25 = sum(n11,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_574])]) ).

fof(f1124,plain,
    n25 = sum(n11,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f4330,plain,
    ~ spl2_573,
    inference(avatar_split_clause,[],[f569,f4327]) ).

fof(f4327,plain,
    ( spl2_573
  <=> n11 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_573])]) ).

fof(f569,plain,
    n11 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f4325,plain,
    spl2_572,
    inference(avatar_split_clause,[],[f366,f4322]) ).

fof(f4322,plain,
    ( spl2_572
  <=> n15 = sum(n13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_572])]) ).

fof(f366,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f4320,plain,
    spl2_571,
    inference(avatar_split_clause,[],[f897,f4317]) ).

fof(f4317,plain,
    ( spl2_571
  <=> n21 = sum(n26,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_571])]) ).

fof(f897,plain,
    n21 = sum(n26,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f4315,plain,
    spl2_570,
    inference(avatar_split_clause,[],[f489,f4312]) ).

fof(f4312,plain,
    ( spl2_570
  <=> n12 = sum(n11,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_570])]) ).

fof(f489,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4310,plain,
    ~ spl2_569,
    inference(avatar_split_clause,[],[f1262,f4307]) ).

fof(f4307,plain,
    ( spl2_569
  <=> n0 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_569])]) ).

fof(f1262,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f4305,plain,
    ~ spl2_568,
    inference(avatar_split_clause,[],[f568,f4302]) ).

fof(f4302,plain,
    ( spl2_568
  <=> n7 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_568])]) ).

fof(f568,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f4300,plain,
    spl2_567,
    inference(avatar_split_clause,[],[f38,f4297]) ).

fof(f4297,plain,
    ( spl2_567
  <=> n30 = sum(n22,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_567])]) ).

fof(f38,plain,
    n30 = sum(n22,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f4295,plain,
    ~ spl2_566,
    inference(avatar_split_clause,[],[f1478,f4292]) ).

fof(f4292,plain,
    ( spl2_566
  <=> n7 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_566])]) ).

fof(f1478,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f4290,plain,
    ~ spl2_565,
    inference(avatar_split_clause,[],[f773,f4287]) ).

fof(f4287,plain,
    ( spl2_565
  <=> n6 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_565])]) ).

fof(f773,plain,
    n6 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f4285,plain,
    spl2_564,
    inference(avatar_split_clause,[],[f1212,f4282]) ).

fof(f4282,plain,
    ( spl2_564
  <=> n28 = sum(n1,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_564])]) ).

fof(f1212,plain,
    n28 = sum(n1,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4280,plain,
    spl2_563,
    inference(avatar_split_clause,[],[f782,f4277]) ).

fof(f4277,plain,
    ( spl2_563
  <=> n20 = sum(n24,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_563])]) ).

fof(f782,plain,
    n20 = sum(n24,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4275,plain,
    spl2_562,
    inference(avatar_split_clause,[],[f437,f4272]) ).

fof(f4272,plain,
    ( spl2_562
  <=> n21 = sum(n1,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_562])]) ).

fof(f437,plain,
    n21 = sum(n1,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f4270,plain,
    spl2_561,
    inference(avatar_split_clause,[],[f343,f4267]) ).

fof(f4267,plain,
    ( spl2_561
  <=> n13 = sum(n21,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_561])]) ).

fof(f343,plain,
    n13 = sum(n21,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f4265,plain,
    spl2_560,
    inference(avatar_split_clause,[],[f917,f4262]) ).

fof(f4262,plain,
    ( spl2_560
  <=> n29 = sum(n5,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_560])]) ).

fof(f917,plain,
    n29 = sum(n5,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f4260,plain,
    ~ spl2_559,
    inference(avatar_split_clause,[],[f829,f4257]) ).

fof(f4257,plain,
    ( spl2_559
  <=> n6 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_559])]) ).

fof(f829,plain,
    n6 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f4255,plain,
    spl2_558,
    inference(avatar_split_clause,[],[f679,f4252]) ).

fof(f4252,plain,
    ( spl2_558
  <=> n7 = sum(n20,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_558])]) ).

fof(f679,plain,
    n7 = sum(n20,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f4250,plain,
    spl2_557,
    inference(avatar_split_clause,[],[f1481,f4247]) ).

fof(f4247,plain,
    ( spl2_557
  <=> n24 = sum(n26,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_557])]) ).

fof(f1481,plain,
    n24 = sum(n26,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f4245,plain,
    ~ spl2_556,
    inference(avatar_split_clause,[],[f1484,f4242]) ).

fof(f4242,plain,
    ( spl2_556
  <=> n0 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_556])]) ).

fof(f1484,plain,
    n0 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f4240,plain,
    spl2_555,
    inference(avatar_split_clause,[],[f610,f4237]) ).

fof(f4237,plain,
    ( spl2_555
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_555])]) ).

fof(f610,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4235,plain,
    spl2_554,
    inference(avatar_split_clause,[],[f1273,f4232]) ).

fof(f4232,plain,
    ( spl2_554
  <=> n8 = sum(n17,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_554])]) ).

fof(f1273,plain,
    n8 = sum(n17,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f4230,plain,
    spl2_553,
    inference(avatar_split_clause,[],[f473,f4227]) ).

fof(f4227,plain,
    ( spl2_553
  <=> n24 = sum(n24,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_553])]) ).

fof(f473,plain,
    n24 = sum(n24,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4225,plain,
    ( spl2_522
    | spl2_523
    | spl2_524
    | spl2_525
    | spl2_526
    | spl2_527
    | spl2_528
    | spl2_529
    | spl2_530
    | spl2_531
    | spl2_532
    | spl2_533
    | spl2_534
    | spl2_535
    | spl2_536
    | spl2_537
    | spl2_538
    | spl2_539
    | spl2_540
    | spl2_541
    | spl2_542
    | spl2_543
    | spl2_544
    | spl2_545
    | spl2_546
    | spl2_547
    | spl2_548
    | spl2_549
    | spl2_550
    | spl2_551
    | spl2_552 ),
    inference(avatar_split_clause,[],[f1442,f4222,f4218,f4214,f4210,f4206,f4202,f4198,f4194,f4190,f4186,f4182,f4178,f4174,f4170,f4166,f4162,f4158,f4154,f4150,f4146,f4142,f4138,f4134,f4130,f4126,f4122,f4118,f4114,f4110,f4106,f4102]) ).

fof(f4102,plain,
    ( spl2_522
  <=> n28 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_522])]) ).

fof(f4106,plain,
    ( spl2_523
  <=> n15 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_523])]) ).

fof(f4110,plain,
    ( spl2_524
  <=> n16 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_524])]) ).

fof(f4114,plain,
    ( spl2_525
  <=> n10 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_525])]) ).

fof(f4118,plain,
    ( spl2_526
  <=> n7 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_526])]) ).

fof(f4122,plain,
    ( spl2_527
  <=> n3 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_527])]) ).

fof(f4126,plain,
    ( spl2_528
  <=> n25 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_528])]) ).

fof(f4130,plain,
    ( spl2_529
  <=> n13 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_529])]) ).

fof(f4134,plain,
    ( spl2_530
  <=> n19 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_530])]) ).

fof(f4138,plain,
    ( spl2_531
  <=> n27 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_531])]) ).

fof(f4142,plain,
    ( spl2_532
  <=> n22 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_532])]) ).

fof(f4146,plain,
    ( spl2_533
  <=> n1 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_533])]) ).

fof(f4150,plain,
    ( spl2_534
  <=> n5 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_534])]) ).

fof(f4154,plain,
    ( spl2_535
  <=> n18 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_535])]) ).

fof(f4158,plain,
    ( spl2_536
  <=> n8 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_536])]) ).

fof(f4162,plain,
    ( spl2_537
  <=> n2 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_537])]) ).

fof(f4166,plain,
    ( spl2_538
  <=> n21 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_538])]) ).

fof(f4170,plain,
    ( spl2_539
  <=> n12 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_539])]) ).

fof(f4174,plain,
    ( spl2_540
  <=> n23 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_540])]) ).

fof(f4178,plain,
    ( spl2_541
  <=> n0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_541])]) ).

fof(f4182,plain,
    ( spl2_542
  <=> n4 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_542])]) ).

fof(f4186,plain,
    ( spl2_543
  <=> n14 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_543])]) ).

fof(f4190,plain,
    ( spl2_544
  <=> n24 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_544])]) ).

fof(f4194,plain,
    ( spl2_545
  <=> n30 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_545])]) ).

fof(f4198,plain,
    ( spl2_546
  <=> n29 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_546])]) ).

fof(f4202,plain,
    ( spl2_547
  <=> n17 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_547])]) ).

fof(f4206,plain,
    ( spl2_548
  <=> n9 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_548])]) ).

fof(f4210,plain,
    ( spl2_549
  <=> n6 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_549])]) ).

fof(f4214,plain,
    ( spl2_550
  <=> n26 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_550])]) ).

fof(f4218,plain,
    ( spl2_551
  <=> n20 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_551])]) ).

fof(f4222,plain,
    ( spl2_552
  <=> n11 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_552])]) ).

fof(f1442,plain,
    ( n11 = sK1
    | n20 = sK1
    | n26 = sK1
    | n6 = sK1
    | n9 = sK1
    | n17 = sK1
    | n29 = sK1
    | n30 = sK1
    | n24 = sK1
    | n14 = sK1
    | n4 = sK1
    | n0 = sK1
    | n23 = sK1
    | n12 = sK1
    | n21 = sK1
    | n2 = sK1
    | n8 = sK1
    | n18 = sK1
    | n5 = sK1
    | n1 = sK1
    | n22 = sK1
    | n27 = sK1
    | n19 = sK1
    | n13 = sK1
    | n25 = sK1
    | n3 = sK1
    | n7 = sK1
    | n10 = sK1
    | n16 = sK1
    | n15 = sK1
    | n28 = sK1 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4100,plain,
    ~ spl2_521,
    inference(avatar_split_clause,[],[f990,f4097]) ).

fof(f4097,plain,
    ( spl2_521
  <=> n1 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_521])]) ).

fof(f990,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f4095,plain,
    spl2_520,
    inference(avatar_split_clause,[],[f571,f4092]) ).

fof(f4092,plain,
    ( spl2_520
  <=> n25 = sum(n15,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_520])]) ).

fof(f571,plain,
    n25 = sum(n15,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f4090,plain,
    spl2_519,
    inference(avatar_split_clause,[],[f109,f4087]) ).

fof(f4087,plain,
    ( spl2_519
  <=> n20 = sum(n2,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_519])]) ).

fof(f109,plain,
    n20 = sum(n2,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f4085,plain,
    spl2_518,
    inference(avatar_split_clause,[],[f731,f4082]) ).

fof(f4082,plain,
    ( spl2_518
  <=> n6 = sum(n20,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_518])]) ).

fof(f731,plain,
    n6 = sum(n20,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f4080,plain,
    spl2_517,
    inference(avatar_split_clause,[],[f676,f4077]) ).

fof(f4077,plain,
    ( spl2_517
  <=> n16 = sum(n20,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_517])]) ).

fof(f676,plain,
    n16 = sum(n20,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4075,plain,
    spl2_516,
    inference(avatar_split_clause,[],[f1315,f4072]) ).

fof(f4072,plain,
    ( spl2_516
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_516])]) ).

fof(f1315,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4070,plain,
    spl2_515,
    inference(avatar_split_clause,[],[f873,f4067]) ).

fof(f4067,plain,
    ( spl2_515
  <=> n11 = sum(n27,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_515])]) ).

fof(f873,plain,
    n11 = sum(n27,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f4065,plain,
    ~ spl2_514,
    inference(avatar_split_clause,[],[f1488,f4062]) ).

fof(f4062,plain,
    ( spl2_514
  <=> n4 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_514])]) ).

fof(f1488,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f4]) ).

fof(f4060,plain,
    spl2_513,
    inference(avatar_split_clause,[],[f476,f4057]) ).

fof(f4057,plain,
    ( spl2_513
  <=> n1 = sum(n24,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_513])]) ).

fof(f476,plain,
    n1 = sum(n24,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f4055,plain,
    ~ spl2_512,
    inference(avatar_split_clause,[],[f1119,f4052]) ).

fof(f4052,plain,
    ( spl2_512
  <=> n1 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_512])]) ).

fof(f1119,plain,
    n1 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f4050,plain,
    spl2_511,
    inference(avatar_split_clause,[],[f1438,f4047]) ).

fof(f4047,plain,
    ( spl2_511
  <=> n5 = sum(n16,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_511])]) ).

fof(f1438,plain,
    n5 = sum(n16,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f4045,plain,
    spl2_510,
    inference(avatar_split_clause,[],[f506,f4042]) ).

fof(f4042,plain,
    ( spl2_510
  <=> n19 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_510])]) ).

fof(f506,plain,
    n19 = sum(n9,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f4040,plain,
    spl2_509,
    inference(avatar_split_clause,[],[f1452,f4037]) ).

fof(f4037,plain,
    ( spl2_509
  <=> n11 = sum(n12,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_509])]) ).

fof(f1452,plain,
    n11 = sum(n12,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f4035,plain,
    ~ spl2_508,
    inference(avatar_split_clause,[],[f1431,f4032]) ).

fof(f4032,plain,
    ( spl2_508
  <=> n22 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_508])]) ).

fof(f1431,plain,
    n22 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f4030,plain,
    spl2_507,
    inference(avatar_split_clause,[],[f864,f4027]) ).

fof(f4027,plain,
    ( spl2_507
  <=> n29 = sum(n2,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_507])]) ).

fof(f864,plain,
    n29 = sum(n2,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f4025,plain,
    ~ spl2_506,
    inference(avatar_split_clause,[],[f290,f4022]) ).

fof(f4022,plain,
    ( spl2_506
  <=> n8 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_506])]) ).

fof(f290,plain,
    n8 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f4020,plain,
    spl2_505,
    inference(avatar_split_clause,[],[f1114,f4017]) ).

fof(f4017,plain,
    ( spl2_505
  <=> n28 = pred(n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_505])]) ).

fof(f1114,plain,
    n28 = pred(n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f4015,plain,
    spl2_504,
    inference(avatar_split_clause,[],[f288,f4012]) ).

fof(f4012,plain,
    ( spl2_504
  <=> n27 = sum(n12,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_504])]) ).

fof(f288,plain,
    n27 = sum(n12,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f4010,plain,
    spl2_503,
    inference(avatar_split_clause,[],[f1258,f4007]) ).

fof(f4007,plain,
    ( spl2_503
  <=> n11 = sum(n20,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_503])]) ).

fof(f1258,plain,
    n11 = sum(n20,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f4005,plain,
    spl2_502,
    inference(avatar_split_clause,[],[f851,f4002]) ).

fof(f4002,plain,
    ( spl2_502
  <=> n15 = sum(n22,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_502])]) ).

fof(f851,plain,
    n15 = sum(n22,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f4000,plain,
    spl2_501,
    inference(avatar_split_clause,[],[f849,f3997]) ).

fof(f3997,plain,
    ( spl2_501
  <=> n26 = pred(n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_501])]) ).

fof(f849,plain,
    n26 = pred(n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f3995,plain,
    ~ spl2_500,
    inference(avatar_split_clause,[],[f271,f3992]) ).

fof(f3992,plain,
    ( spl2_500
  <=> n17 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_500])]) ).

fof(f271,plain,
    n17 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f3990,plain,
    spl2_499,
    inference(avatar_split_clause,[],[f80,f3987]) ).

fof(f3987,plain,
    ( spl2_499
  <=> n0 = sum(n9,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_499])]) ).

fof(f80,plain,
    n0 = sum(n9,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f3985,plain,
    spl2_498,
    inference(avatar_split_clause,[],[f1159,f3982]) ).

fof(f3982,plain,
    ( spl2_498
  <=> n27 = pred(n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_498])]) ).

fof(f1159,plain,
    n27 = pred(n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f3980,plain,
    spl2_497,
    inference(avatar_split_clause,[],[f1178,f3977]) ).

fof(f3977,plain,
    ( spl2_497
  <=> n6 = sum(n10,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_497])]) ).

fof(f1178,plain,
    n6 = sum(n10,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f3975,plain,
    spl2_496,
    inference(avatar_split_clause,[],[f313,f3972]) ).

fof(f3972,plain,
    ( spl2_496
  <=> n6 = sum(n16,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_496])]) ).

fof(f313,plain,
    n6 = sum(n16,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f3970,plain,
    ~ spl2_495,
    inference(avatar_split_clause,[],[f123,f3967]) ).

fof(f3967,plain,
    ( spl2_495
  <=> n1 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_495])]) ).

fof(f123,plain,
    n1 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f3965,plain,
    spl2_494,
    inference(avatar_split_clause,[],[f614,f3962]) ).

fof(f3962,plain,
    ( spl2_494
  <=> n13 = sum(n14,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_494])]) ).

fof(f614,plain,
    n13 = sum(n14,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f3960,plain,
    spl2_493,
    inference(avatar_split_clause,[],[f1174,f3957]) ).

fof(f3957,plain,
    ( spl2_493
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_493])]) ).

fof(f1174,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f4]) ).

fof(f3955,plain,
    ~ spl2_492,
    inference(avatar_split_clause,[],[f748,f3952]) ).

fof(f3952,plain,
    ( spl2_492
  <=> n4 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_492])]) ).

fof(f748,plain,
    n4 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f3950,plain,
    spl2_491,
    inference(avatar_split_clause,[],[f167,f3947]) ).

fof(f3947,plain,
    ( spl2_491
  <=> n20 = sum(n18,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_491])]) ).

fof(f167,plain,
    n20 = sum(n18,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3945,plain,
    ~ spl2_490,
    inference(avatar_split_clause,[],[f725,f3942]) ).

fof(f3942,plain,
    ( spl2_490
  <=> n19 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_490])]) ).

fof(f725,plain,
    n19 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f3940,plain,
    spl2_489,
    inference(avatar_split_clause,[],[f98,f3937]) ).

fof(f3937,plain,
    ( spl2_489
  <=> n25 = sum(n7,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_489])]) ).

fof(f98,plain,
    n25 = sum(n7,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f3935,plain,
    spl2_488,
    inference(avatar_split_clause,[],[f698,f3932]) ).

fof(f3932,plain,
    ( spl2_488
  <=> n22 = sum(n2,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_488])]) ).

fof(f698,plain,
    n22 = sum(n2,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f3930,plain,
    spl2_487,
    inference(avatar_split_clause,[],[f582,f3927]) ).

fof(f3927,plain,
    ( spl2_487
  <=> n20 = sum(n1,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_487])]) ).

fof(f582,plain,
    n20 = sum(n1,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f3925,plain,
    ~ spl2_486,
    inference(avatar_split_clause,[],[f1143,f3922]) ).

fof(f3922,plain,
    ( spl2_486
  <=> n20 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_486])]) ).

fof(f1143,plain,
    n20 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f3920,plain,
    spl2_485,
    inference(avatar_split_clause,[],[f1060,f3917]) ).

fof(f3917,plain,
    ( spl2_485
  <=> n5 = sum(n30,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_485])]) ).

fof(f1060,plain,
    n5 = sum(n30,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f3915,plain,
    ~ spl2_484,
    inference(avatar_split_clause,[],[f689,f3912]) ).

fof(f3912,plain,
    ( spl2_484
  <=> n5 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_484])]) ).

fof(f689,plain,
    n5 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f3910,plain,
    spl2_483,
    inference(avatar_split_clause,[],[f983,f3907]) ).

fof(f3907,plain,
    ( spl2_483
  <=> n13 = sum(n12,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_483])]) ).

fof(f983,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3905,plain,
    spl2_482,
    inference(avatar_split_clause,[],[f1161,f3902]) ).

fof(f3902,plain,
    ( spl2_482
  <=> n3 = sum(n20,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_482])]) ).

fof(f1161,plain,
    n3 = sum(n20,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f3900,plain,
    spl2_481,
    inference(avatar_split_clause,[],[f1309,f3897]) ).

fof(f3897,plain,
    ( spl2_481
  <=> n1 = sum(n19,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_481])]) ).

fof(f1309,plain,
    n1 = sum(n19,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f3895,plain,
    spl2_480,
    inference(avatar_split_clause,[],[f547,f3892]) ).

fof(f3892,plain,
    ( spl2_480
  <=> n26 = sum(n14,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_480])]) ).

fof(f547,plain,
    n26 = sum(n14,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f3890,plain,
    ~ spl2_479,
    inference(avatar_split_clause,[],[f1155,f3887]) ).

fof(f3887,plain,
    ( spl2_479
  <=> n17 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_479])]) ).

fof(f1155,plain,
    n17 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f3885,plain,
    ~ spl2_478,
    inference(avatar_split_clause,[],[f1418,f3882]) ).

fof(f3882,plain,
    ( spl2_478
  <=> n7 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_478])]) ).

fof(f1418,plain,
    n7 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f3880,plain,
    ~ spl2_477,
    inference(avatar_split_clause,[],[f738,f3877]) ).

fof(f3877,plain,
    ( spl2_477
  <=> n9 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_477])]) ).

fof(f738,plain,
    n9 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f3875,plain,
    ~ spl2_476,
    inference(avatar_split_clause,[],[f800,f3872]) ).

fof(f3872,plain,
    ( spl2_476
  <=> n10 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_476])]) ).

fof(f800,plain,
    n10 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f3870,plain,
    spl2_475,
    inference(avatar_split_clause,[],[f1373,f3867]) ).

fof(f3867,plain,
    ( spl2_475
  <=> n26 = sum(n13,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_475])]) ).

fof(f1373,plain,
    n26 = sum(n13,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f3865,plain,
    ~ spl2_474,
    inference(avatar_split_clause,[],[f524,f3862]) ).

fof(f3862,plain,
    ( spl2_474
  <=> n10 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_474])]) ).

fof(f524,plain,
    n10 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f3860,plain,
    spl2_473,
    inference(avatar_split_clause,[],[f1070,f3857]) ).

fof(f3857,plain,
    ( spl2_473
  <=> succ(n24) = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_473])]) ).

fof(f1070,plain,
    succ(n24) = n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f3855,plain,
    spl2_472,
    inference(avatar_split_clause,[],[f894,f3852]) ).

fof(f3852,plain,
    ( spl2_472
  <=> n14 = sum(n29,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_472])]) ).

fof(f894,plain,
    n14 = sum(n29,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f3850,plain,
    ~ spl2_471,
    inference(avatar_split_clause,[],[f360,f3847]) ).

fof(f3847,plain,
    ( spl2_471
  <=> n1 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_471])]) ).

fof(f360,plain,
    n1 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f3845,plain,
    spl2_470,
    inference(avatar_split_clause,[],[f1245,f3842]) ).

fof(f3842,plain,
    ( spl2_470
  <=> n15 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_470])]) ).

fof(f1245,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f3840,plain,
    spl2_469,
    inference(avatar_split_clause,[],[f664,f3837]) ).

fof(f3837,plain,
    ( spl2_469
  <=> n22 = sum(n25,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_469])]) ).

fof(f664,plain,
    n22 = sum(n25,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f3835,plain,
    ~ spl2_468,
    inference(avatar_split_clause,[],[f901,f3832]) ).

fof(f3832,plain,
    ( spl2_468
  <=> n9 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_468])]) ).

fof(f901,plain,
    n9 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f3830,plain,
    spl2_467,
    inference(avatar_split_clause,[],[f34,f3827]) ).

fof(f3827,plain,
    ( spl2_467
  <=> n1 = sum(n28,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_467])]) ).

fof(f34,plain,
    n1 = sum(n28,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3825,plain,
    spl2_466,
    inference(avatar_split_clause,[],[f467,f3822]) ).

fof(f3822,plain,
    ( spl2_466
  <=> n12 = sum(n0,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_466])]) ).

fof(f467,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f3820,plain,
    spl2_465,
    inference(avatar_split_clause,[],[f1344,f3817]) ).

fof(f3817,plain,
    ( spl2_465
  <=> n27 = sum(n14,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_465])]) ).

fof(f1344,plain,
    n27 = sum(n14,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f3815,plain,
    spl2_464,
    inference(avatar_split_clause,[],[f544,f3812]) ).

fof(f3812,plain,
    ( spl2_464
  <=> n16 = sum(n11,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_464])]) ).

fof(f544,plain,
    n16 = sum(n11,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f3810,plain,
    spl2_463,
    inference(avatar_split_clause,[],[f168,f3807]) ).

fof(f3807,plain,
    ( spl2_463
  <=> n12 = sum(n21,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_463])]) ).

fof(f168,plain,
    n12 = sum(n21,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f3805,plain,
    spl2_462,
    inference(avatar_split_clause,[],[f1064,f3802]) ).

fof(f3802,plain,
    ( spl2_462
  <=> n19 = sum(n12,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_462])]) ).

fof(f1064,plain,
    n19 = sum(n12,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f3800,plain,
    spl2_461,
    inference(avatar_split_clause,[],[f296,f3797]) ).

fof(f3797,plain,
    ( spl2_461
  <=> n1 = sum(n8,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_461])]) ).

fof(f296,plain,
    n1 = sum(n8,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f3795,plain,
    spl2_460,
    inference(avatar_split_clause,[],[f1078,f3792]) ).

fof(f3792,plain,
    ( spl2_460
  <=> n11 = sum(n13,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_460])]) ).

fof(f1078,plain,
    n11 = sum(n13,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f3790,plain,
    spl2_459,
    inference(avatar_split_clause,[],[f950,f3787]) ).

fof(f3787,plain,
    ( spl2_459
  <=> n17 = sum(n27,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_459])]) ).

fof(f950,plain,
    n17 = sum(n27,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f3785,plain,
    spl2_458,
    inference(avatar_split_clause,[],[f1043,f3782]) ).

fof(f3782,plain,
    ( spl2_458
  <=> n27 = sum(n26,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_458])]) ).

fof(f1043,plain,
    n27 = sum(n26,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3780,plain,
    spl2_457,
    inference(avatar_split_clause,[],[f438,f3777]) ).

fof(f3777,plain,
    ( spl2_457
  <=> n19 = sum(n18,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_457])]) ).

fof(f438,plain,
    n19 = sum(n18,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3775,plain,
    ~ spl2_456,
    inference(avatar_split_clause,[],[f407,f3772]) ).

fof(f3772,plain,
    ( spl2_456
  <=> n12 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_456])]) ).

fof(f407,plain,
    n12 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f3770,plain,
    spl2_455,
    inference(avatar_split_clause,[],[f719,f3767]) ).

fof(f3767,plain,
    ( spl2_455
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_455])]) ).

fof(f719,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f3765,plain,
    spl2_454,
    inference(avatar_split_clause,[],[f353,f3762]) ).

fof(f3762,plain,
    ( spl2_454
  <=> n13 = sum(n16,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_454])]) ).

fof(f353,plain,
    n13 = sum(n16,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f3760,plain,
    ~ spl2_453,
    inference(avatar_split_clause,[],[f1408,f3757]) ).

fof(f3757,plain,
    ( spl2_453
  <=> n12 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_453])]) ).

fof(f1408,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f3755,plain,
    spl2_452,
    inference(avatar_split_clause,[],[f461,f3752]) ).

fof(f3752,plain,
    ( spl2_452
  <=> n27 = sum(n7,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_452])]) ).

fof(f461,plain,
    n27 = sum(n7,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f3750,plain,
    ~ spl2_451,
    inference(avatar_split_clause,[],[f579,f3747]) ).

fof(f3747,plain,
    ( spl2_451
  <=> n0 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_451])]) ).

fof(f579,plain,
    n0 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f3745,plain,
    spl2_450,
    inference(avatar_split_clause,[],[f597,f3742]) ).

fof(f3742,plain,
    ( spl2_450
  <=> n17 = sum(n5,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_450])]) ).

fof(f597,plain,
    n17 = sum(n5,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f3740,plain,
    spl2_449,
    inference(avatar_split_clause,[],[f1165,f3737]) ).

fof(f3737,plain,
    ( spl2_449
  <=> n18 = sum(n0,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_449])]) ).

fof(f1165,plain,
    n18 = sum(n0,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f3735,plain,
    spl2_448,
    inference(avatar_split_clause,[],[f523,f3732]) ).

fof(f3732,plain,
    ( spl2_448
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_448])]) ).

fof(f523,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f3730,plain,
    spl2_447,
    inference(avatar_split_clause,[],[f1479,f3727]) ).

fof(f3727,plain,
    ( spl2_447
  <=> n25 = sum(n30,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_447])]) ).

fof(f1479,plain,
    n25 = sum(n30,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f3725,plain,
    spl2_446,
    inference(avatar_split_clause,[],[f587,f3722]) ).

fof(f3722,plain,
    ( spl2_446
  <=> n21 = sum(n25,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_446])]) ).

fof(f587,plain,
    n21 = sum(n25,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f3720,plain,
    ~ spl2_445,
    inference(avatar_split_clause,[],[f1128,f3717]) ).

fof(f3717,plain,
    ( spl2_445
  <=> n7 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_445])]) ).

fof(f1128,plain,
    n7 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f3715,plain,
    spl2_444,
    inference(avatar_split_clause,[],[f971,f3712]) ).

fof(f3712,plain,
    ( spl2_444
  <=> n4 = sum(n15,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_444])]) ).

fof(f971,plain,
    n4 = sum(n15,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f3710,plain,
    spl2_443,
    inference(avatar_split_clause,[],[f1005,f3707]) ).

fof(f3707,plain,
    ( spl2_443
  <=> n16 = sum(n13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_443])]) ).

fof(f1005,plain,
    n16 = sum(n13,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3705,plain,
    spl2_442,
    inference(avatar_split_clause,[],[f386,f3702]) ).

fof(f3702,plain,
    ( spl2_442
  <=> n22 = sum(n18,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_442])]) ).

fof(f386,plain,
    n22 = sum(n18,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3700,plain,
    spl2_441,
    inference(avatar_split_clause,[],[f878,f3697]) ).

fof(f3697,plain,
    ( spl2_441
  <=> n11 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_441])]) ).

fof(f878,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3695,plain,
    spl2_440,
    inference(avatar_split_clause,[],[f742,f3692]) ).

fof(f3692,plain,
    ( spl2_440
  <=> n26 = sum(n20,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_440])]) ).

fof(f742,plain,
    n26 = sum(n20,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f3690,plain,
    ~ spl2_439,
    inference(avatar_split_clause,[],[f223,f3687]) ).

fof(f3687,plain,
    ( spl2_439
  <=> n14 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_439])]) ).

fof(f223,plain,
    n14 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f3685,plain,
    ~ spl2_438,
    inference(avatar_split_clause,[],[f1192,f3682]) ).

fof(f3682,plain,
    ( spl2_438
  <=> n0 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_438])]) ).

fof(f1192,plain,
    n0 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f3680,plain,
    spl2_437,
    inference(avatar_split_clause,[],[f270,f3677]) ).

fof(f3677,plain,
    ( spl2_437
  <=> n30 = sum(n17,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_437])]) ).

fof(f270,plain,
    n30 = sum(n17,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f3675,plain,
    spl2_436,
    inference(avatar_split_clause,[],[f751,f3672]) ).

fof(f3672,plain,
    ( spl2_436
  <=> n20 = sum(n17,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_436])]) ).

fof(f751,plain,
    n20 = sum(n17,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3670,plain,
    spl2_435,
    inference(avatar_split_clause,[],[f1041,f3667]) ).

fof(f3667,plain,
    ( spl2_435
  <=> n19 = sum(n21,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_435])]) ).

fof(f1041,plain,
    n19 = sum(n21,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f3665,plain,
    spl2_434,
    inference(avatar_split_clause,[],[f638,f3662]) ).

fof(f3662,plain,
    ( spl2_434
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_434])]) ).

fof(f638,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3660,plain,
    ~ spl2_433,
    inference(avatar_split_clause,[],[f957,f3657]) ).

fof(f3657,plain,
    ( spl2_433
  <=> n6 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_433])]) ).

fof(f957,plain,
    n6 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f3655,plain,
    spl2_432,
    inference(avatar_split_clause,[],[f746,f3652]) ).

fof(f3652,plain,
    ( spl2_432
  <=> n0 = sum(n4,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_432])]) ).

fof(f746,plain,
    n0 = sum(n4,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f3650,plain,
    ~ spl2_431,
    inference(avatar_split_clause,[],[f257,f3647]) ).

fof(f3647,plain,
    ( spl2_431
  <=> n5 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_431])]) ).

fof(f257,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f3645,plain,
    spl2_430,
    inference(avatar_split_clause,[],[f276,f3642]) ).

fof(f3642,plain,
    ( spl2_430
  <=> n17 = sum(n23,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_430])]) ).

fof(f276,plain,
    n17 = sum(n23,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f3640,plain,
    spl2_429,
    inference(avatar_split_clause,[],[f424,f3637]) ).

fof(f3637,plain,
    ( spl2_429
  <=> n11 = sum(n0,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_429])]) ).

fof(f424,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f3635,plain,
    ~ spl2_428,
    inference(avatar_split_clause,[],[f1082,f3632]) ).

fof(f3632,plain,
    ( spl2_428
  <=> n15 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_428])]) ).

fof(f1082,plain,
    n15 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f3630,plain,
    spl2_427,
    inference(avatar_split_clause,[],[f848,f3627]) ).

fof(f3627,plain,
    ( spl2_427
  <=> n17 = sum(n2,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_427])]) ).

fof(f848,plain,
    n17 = sum(n2,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f3625,plain,
    ~ spl2_426,
    inference(avatar_split_clause,[],[f434,f3622]) ).

fof(f3622,plain,
    ( spl2_426
  <=> n0 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_426])]) ).

fof(f434,plain,
    n0 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f3620,plain,
    spl2_425,
    inference(avatar_split_clause,[],[f1300,f3617]) ).

fof(f3617,plain,
    ( spl2_425
  <=> n26 = sum(n25,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_425])]) ).

fof(f1300,plain,
    n26 = sum(n25,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3615,plain,
    ~ spl2_424,
    inference(avatar_split_clause,[],[f1154,f3612]) ).

fof(f3612,plain,
    ( spl2_424
  <=> n8 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_424])]) ).

fof(f1154,plain,
    n8 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f3610,plain,
    spl2_423,
    inference(avatar_split_clause,[],[f594,f3607]) ).

fof(f3607,plain,
    ( spl2_423
  <=> n30 = sum(n30,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_423])]) ).

fof(f594,plain,
    n30 = sum(n30,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f3605,plain,
    ~ spl2_422,
    inference(avatar_split_clause,[],[f394,f3602]) ).

fof(f3602,plain,
    ( spl2_422
  <=> n1 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_422])]) ).

fof(f394,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f3600,plain,
    spl2_421,
    inference(avatar_split_clause,[],[f308,f3597]) ).

fof(f3597,plain,
    ( spl2_421
  <=> n20 = sum(n7,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_421])]) ).

fof(f308,plain,
    n20 = sum(n7,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f3595,plain,
    spl2_420,
    inference(avatar_split_clause,[],[f240,f3592]) ).

fof(f3592,plain,
    ( spl2_420
  <=> n22 = sum(n15,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_420])]) ).

fof(f240,plain,
    n22 = sum(n15,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f3590,plain,
    spl2_419,
    inference(avatar_split_clause,[],[f1091,f3587]) ).

fof(f3587,plain,
    ( spl2_419
  <=> n18 = sum(n25,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_419])]) ).

fof(f1091,plain,
    n18 = sum(n25,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f3585,plain,
    spl2_418,
    inference(avatar_split_clause,[],[f857,f3582]) ).

fof(f3582,plain,
    ( spl2_418
  <=> n6 = sum(n13,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_418])]) ).

fof(f857,plain,
    n6 = sum(n13,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f3580,plain,
    ~ spl2_417,
    inference(avatar_split_clause,[],[f1080,f3577]) ).

fof(f3577,plain,
    ( spl2_417
  <=> n3 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_417])]) ).

fof(f1080,plain,
    n3 != n6,
    inference(cnf_transformation,[],[f4]) ).

fof(f3575,plain,
    ~ spl2_416,
    inference(avatar_split_clause,[],[f520,f3572]) ).

fof(f3572,plain,
    ( spl2_416
  <=> n6 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_416])]) ).

fof(f520,plain,
    n6 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f3570,plain,
    spl2_415,
    inference(avatar_split_clause,[],[f973,f3567]) ).

fof(f3567,plain,
    ( spl2_415
  <=> n26 = sum(n6,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_415])]) ).

fof(f973,plain,
    n26 = sum(n6,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f3565,plain,
    spl2_414,
    inference(avatar_split_clause,[],[f18,f3562]) ).

fof(f3562,plain,
    ( spl2_414
  <=> n23 = sum(n19,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_414])]) ).

fof(f18,plain,
    n23 = sum(n19,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3560,plain,
    spl2_413,
    inference(avatar_split_clause,[],[f1458,f3557]) ).

fof(f3557,plain,
    ( spl2_413
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_413])]) ).

fof(f1458,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f3555,plain,
    spl2_412,
    inference(avatar_split_clause,[],[f763,f3552]) ).

fof(f3552,plain,
    ( spl2_412
  <=> n16 = sum(n17,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_412])]) ).

fof(f763,plain,
    n16 = sum(n17,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f3550,plain,
    ~ spl2_411,
    inference(avatar_split_clause,[],[f645,f3547]) ).

fof(f3547,plain,
    ( spl2_411
  <=> n17 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_411])]) ).

fof(f645,plain,
    n17 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f3545,plain,
    ~ spl2_410,
    inference(avatar_split_clause,[],[f1490,f3542]) ).

fof(f3542,plain,
    ( spl2_410
  <=> n0 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_410])]) ).

fof(f1490,plain,
    n0 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f3540,plain,
    spl2_409,
    inference(avatar_split_clause,[],[f259,f3537]) ).

fof(f3537,plain,
    ( spl2_409
  <=> n26 = sum(n7,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_409])]) ).

fof(f259,plain,
    n26 = sum(n7,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f3535,plain,
    spl2_408,
    inference(avatar_split_clause,[],[f1016,f3532]) ).

fof(f3532,plain,
    ( spl2_408
  <=> n16 = sum(n5,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_408])]) ).

fof(f1016,plain,
    n16 = sum(n5,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f3530,plain,
    spl2_407,
    inference(avatar_split_clause,[],[f1152,f3527]) ).

fof(f3527,plain,
    ( spl2_407
  <=> n26 = sum(n30,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_407])]) ).

fof(f1152,plain,
    n26 = sum(n30,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f3525,plain,
    spl2_406,
    inference(avatar_split_clause,[],[f1377,f3522]) ).

fof(f3522,plain,
    ( spl2_406
  <=> n2 = sum(n11,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_406])]) ).

fof(f1377,plain,
    n2 = sum(n11,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f3520,plain,
    spl2_405,
    inference(avatar_split_clause,[],[f1094,f3517]) ).

fof(f3517,plain,
    ( spl2_405
  <=> n20 = sum(n28,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_405])]) ).

fof(f1094,plain,
    n20 = sum(n28,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f3515,plain,
    spl2_404,
    inference(avatar_split_clause,[],[f1254,f3512]) ).

fof(f3512,plain,
    ( spl2_404
  <=> n19 = sum(n28,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_404])]) ).

fof(f1254,plain,
    n19 = sum(n28,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f3510,plain,
    spl2_403,
    inference(avatar_split_clause,[],[f1280,f3507]) ).

fof(f3507,plain,
    ( spl2_403
  <=> n24 = sum(n12,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_403])]) ).

fof(f1280,plain,
    n24 = sum(n12,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f3505,plain,
    spl2_402,
    inference(avatar_split_clause,[],[f646,f3502]) ).

fof(f3502,plain,
    ( spl2_402
  <=> n30 = sum(n29,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_402])]) ).

fof(f646,plain,
    n30 = sum(n29,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3500,plain,
    ~ spl2_401,
    inference(avatar_split_clause,[],[f604,f3497]) ).

fof(f3497,plain,
    ( spl2_401
  <=> n13 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_401])]) ).

fof(f604,plain,
    n13 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f3495,plain,
    spl2_400,
    inference(avatar_split_clause,[],[f184,f3492]) ).

fof(f3492,plain,
    ( spl2_400
  <=> n29 = sum(n19,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_400])]) ).

fof(f184,plain,
    n29 = sum(n19,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f3490,plain,
    spl2_399,
    inference(avatar_split_clause,[],[f33,f3487]) ).

fof(f3487,plain,
    ( spl2_399
  <=> n29 = sum(n7,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_399])]) ).

fof(f33,plain,
    n29 = sum(n7,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f3485,plain,
    ~ spl2_398,
    inference(avatar_split_clause,[],[f702,f3482]) ).

fof(f3482,plain,
    ( spl2_398
  <=> n1 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_398])]) ).

fof(f702,plain,
    n1 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f3480,plain,
    spl2_397,
    inference(avatar_split_clause,[],[f1311,f3477]) ).

fof(f3477,plain,
    ( spl2_397
  <=> n14 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_397])]) ).

fof(f1311,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f3475,plain,
    spl2_396,
    inference(avatar_split_clause,[],[f412,f3472]) ).

fof(f3472,plain,
    ( spl2_396
  <=> n3 = sum(n27,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_396])]) ).

fof(f412,plain,
    n3 = sum(n27,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f3470,plain,
    ~ spl2_395,
    inference(avatar_split_clause,[],[f644,f3467]) ).

fof(f3467,plain,
    ( spl2_395
  <=> n3 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_395])]) ).

fof(f644,plain,
    n3 != n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f3465,plain,
    spl2_394,
    inference(avatar_split_clause,[],[f404,f3462]) ).

fof(f3462,plain,
    ( spl2_394
  <=> n14 = sum(n20,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_394])]) ).

fof(f404,plain,
    n14 = sum(n20,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f3460,plain,
    spl2_393,
    inference(avatar_split_clause,[],[f1341,f3457]) ).

fof(f3457,plain,
    ( spl2_393
  <=> n15 = sum(n2,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_393])]) ).

fof(f1341,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f3455,plain,
    spl2_392,
    inference(avatar_split_clause,[],[f1480,f3452]) ).

fof(f3452,plain,
    ( spl2_392
  <=> n28 = sum(n19,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_392])]) ).

fof(f1480,plain,
    n28 = sum(n19,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f3450,plain,
    spl2_391,
    inference(avatar_split_clause,[],[f1120,f3447]) ).

fof(f3447,plain,
    ( spl2_391
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_391])]) ).

fof(f1120,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f3445,plain,
    spl2_390,
    inference(avatar_split_clause,[],[f650,f3442]) ).

fof(f3442,plain,
    ( spl2_390
  <=> n20 = sum(n25,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_390])]) ).

fof(f650,plain,
    n20 = sum(n25,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f3440,plain,
    spl2_389,
    inference(avatar_split_clause,[],[f815,f3437]) ).

fof(f3437,plain,
    ( spl2_389
  <=> n26 = sum(n17,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_389])]) ).

fof(f815,plain,
    n26 = sum(n17,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f3435,plain,
    spl2_388,
    inference(avatar_split_clause,[],[f1111,f3432]) ).

fof(f3432,plain,
    ( spl2_388
  <=> n9 = sum(n26,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_388])]) ).

fof(f1111,plain,
    n9 = sum(n26,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f3430,plain,
    ~ spl2_387,
    inference(avatar_split_clause,[],[f1211,f3427]) ).

fof(f3427,plain,
    ( spl2_387
  <=> n12 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_387])]) ).

fof(f1211,plain,
    n12 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f3425,plain,
    spl2_386,
    inference(avatar_split_clause,[],[f586,f3422]) ).

fof(f3422,plain,
    ( spl2_386
  <=> n21 = sum(n7,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_386])]) ).

fof(f586,plain,
    n21 = sum(n7,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f3420,plain,
    spl2_385,
    inference(avatar_split_clause,[],[f1133,f3417]) ).

fof(f3417,plain,
    ( spl2_385
  <=> n20 = sum(n12,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_385])]) ).

fof(f1133,plain,
    n20 = sum(n12,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f3415,plain,
    spl2_384,
    inference(avatar_split_clause,[],[f197,f3412]) ).

fof(f3412,plain,
    ( spl2_384
  <=> n0 = sum(n11,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_384])]) ).

fof(f197,plain,
    n0 = sum(n11,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f3410,plain,
    ~ spl2_383,
    inference(avatar_split_clause,[],[f466,f3407]) ).

fof(f3407,plain,
    ( spl2_383
  <=> n19 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_383])]) ).

fof(f466,plain,
    n19 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f3405,plain,
    ~ spl2_382,
    inference(avatar_split_clause,[],[f1084,f3402]) ).

fof(f3402,plain,
    ( spl2_382
  <=> n6 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_382])]) ).

fof(f1084,plain,
    n6 != n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f3400,plain,
    spl2_381,
    inference(avatar_split_clause,[],[f615,f3397]) ).

fof(f3397,plain,
    ( spl2_381
  <=> n10 = sum(n30,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_381])]) ).

fof(f615,plain,
    n10 = sum(n30,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f3395,plain,
    spl2_380,
    inference(avatar_split_clause,[],[f387,f3392]) ).

fof(f3392,plain,
    ( spl2_380
  <=> n27 = sum(n28,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_380])]) ).

fof(f387,plain,
    n27 = sum(n28,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f3390,plain,
    spl2_379,
    inference(avatar_split_clause,[],[f516,f3387]) ).

fof(f3387,plain,
    ( spl2_379
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_379])]) ).

fof(f516,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f3385,plain,
    spl2_378,
    inference(avatar_split_clause,[],[f1073,f3382]) ).

fof(f3382,plain,
    ( spl2_378
  <=> n24 = sum(n8,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_378])]) ).

fof(f1073,plain,
    n24 = sum(n8,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f3380,plain,
    spl2_377,
    inference(avatar_split_clause,[],[f104,f3377]) ).

fof(f3377,plain,
    ( spl2_377
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_377])]) ).

fof(f104,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3375,plain,
    spl2_376,
    inference(avatar_split_clause,[],[f842,f3372]) ).

fof(f3372,plain,
    ( spl2_376
  <=> n15 = sum(n12,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_376])]) ).

fof(f842,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3370,plain,
    ~ spl2_375,
    inference(avatar_split_clause,[],[f893,f3367]) ).

fof(f3367,plain,
    ( spl2_375
  <=> n2 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_375])]) ).

fof(f893,plain,
    n2 != n6,
    inference(cnf_transformation,[],[f4]) ).

fof(f3365,plain,
    ~ spl2_374,
    inference(avatar_split_clause,[],[f228,f3362]) ).

fof(f3362,plain,
    ( spl2_374
  <=> n9 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_374])]) ).

fof(f228,plain,
    n9 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f3360,plain,
    spl2_373,
    inference(avatar_split_clause,[],[f266,f3357]) ).

fof(f3357,plain,
    ( spl2_373
  <=> succ(n16) = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_373])]) ).

fof(f266,plain,
    succ(n16) = n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f3355,plain,
    spl2_372,
    inference(avatar_split_clause,[],[f885,f3352]) ).

fof(f3352,plain,
    ( spl2_372
  <=> n27 = sum(n17,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_372])]) ).

fof(f885,plain,
    n27 = sum(n17,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f3350,plain,
    spl2_371,
    inference(avatar_split_clause,[],[f1062,f3347]) ).

fof(f3347,plain,
    ( spl2_371
  <=> n4 = sum(n19,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_371])]) ).

fof(f1062,plain,
    n4 = sum(n19,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f3345,plain,
    spl2_370,
    inference(avatar_split_clause,[],[f430,f3342]) ).

fof(f3342,plain,
    ( spl2_370
  <=> n6 = sum(n26,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_370])]) ).

fof(f430,plain,
    n6 = sum(n26,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f3340,plain,
    spl2_369,
    inference(avatar_split_clause,[],[f979,f3337]) ).

fof(f3337,plain,
    ( spl2_369
  <=> n19 = sum(n25,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_369])]) ).

fof(f979,plain,
    n19 = sum(n25,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f3335,plain,
    spl2_368,
    inference(avatar_split_clause,[],[f22,f3332]) ).

fof(f3332,plain,
    ( spl2_368
  <=> n29 = sum(n22,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_368])]) ).

fof(f22,plain,
    n29 = sum(n22,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f3330,plain,
    spl2_367,
    inference(avatar_split_clause,[],[f301,f3327]) ).

fof(f3327,plain,
    ( spl2_367
  <=> n4 = sum(n24,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_367])]) ).

fof(f301,plain,
    n4 = sum(n24,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f3325,plain,
    spl2_366,
    inference(avatar_split_clause,[],[f538,f3322]) ).

fof(f3322,plain,
    ( spl2_366
  <=> n27 = sum(n20,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_366])]) ).

fof(f538,plain,
    n27 = sum(n20,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f3320,plain,
    spl2_365,
    inference(avatar_split_clause,[],[f263,f3317]) ).

fof(f3317,plain,
    ( spl2_365
  <=> n3 = sum(n28,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_365])]) ).

fof(f263,plain,
    n3 = sum(n28,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f3315,plain,
    spl2_364,
    inference(avatar_split_clause,[],[f1033,f3312]) ).

fof(f3312,plain,
    ( spl2_364
  <=> n25 = sum(n3,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_364])]) ).

fof(f1033,plain,
    n25 = sum(n3,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f3310,plain,
    ~ spl2_363,
    inference(avatar_split_clause,[],[f603,f3307]) ).

fof(f3307,plain,
    ( spl2_363
  <=> n15 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_363])]) ).

fof(f603,plain,
    n15 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f3305,plain,
    spl2_362,
    inference(avatar_split_clause,[],[f823,f3302]) ).

fof(f3302,plain,
    ( spl2_362
  <=> n23 = sum(n9,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_362])]) ).

fof(f823,plain,
    n23 = sum(n9,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f3300,plain,
    spl2_361,
    inference(avatar_split_clause,[],[f59,f3297]) ).

fof(f3297,plain,
    ( spl2_361
  <=> n27 = sum(n8,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_361])]) ).

fof(f59,plain,
    n27 = sum(n8,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f3295,plain,
    spl2_360,
    inference(avatar_split_clause,[],[f621,f3292]) ).

fof(f3292,plain,
    ( spl2_360
  <=> n18 = sum(n13,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_360])]) ).

fof(f621,plain,
    n18 = sum(n13,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f3290,plain,
    spl2_359,
    inference(avatar_split_clause,[],[f1353,f3287]) ).

fof(f3287,plain,
    ( spl2_359
  <=> n4 = sum(n28,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_359])]) ).

fof(f1353,plain,
    n4 = sum(n28,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f3285,plain,
    spl2_358,
    inference(avatar_split_clause,[],[f446,f3282]) ).

fof(f3282,plain,
    ( spl2_358
  <=> n15 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_358])]) ).

fof(f446,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f3280,plain,
    ~ spl2_357,
    inference(avatar_split_clause,[],[f591,f3277]) ).

fof(f3277,plain,
    ( spl2_357
  <=> n5 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_357])]) ).

fof(f591,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f3275,plain,
    ~ spl2_356,
    inference(avatar_split_clause,[],[f118,f3272]) ).

fof(f3272,plain,
    ( spl2_356
  <=> n8 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_356])]) ).

fof(f118,plain,
    n8 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f3270,plain,
    ~ spl2_355,
    inference(avatar_split_clause,[],[f963,f3267]) ).

fof(f3267,plain,
    ( spl2_355
  <=> n2 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_355])]) ).

fof(f963,plain,
    n2 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f3265,plain,
    spl2_354,
    inference(avatar_split_clause,[],[f1125,f3262]) ).

fof(f3262,plain,
    ( spl2_354
  <=> n29 = sum(n25,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_354])]) ).

fof(f1125,plain,
    n29 = sum(n25,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3260,plain,
    spl2_353,
    inference(avatar_split_clause,[],[f306,f3257]) ).

fof(f3257,plain,
    ( spl2_353
  <=> n25 = sum(n21,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_353])]) ).

fof(f306,plain,
    n25 = sum(n21,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3255,plain,
    spl2_352,
    inference(avatar_split_clause,[],[f583,f3252]) ).

fof(f3252,plain,
    ( spl2_352
  <=> n20 = sum(n14,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_352])]) ).

fof(f583,plain,
    n20 = sum(n14,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f3250,plain,
    spl2_351,
    inference(avatar_split_clause,[],[f494,f3247]) ).

fof(f3247,plain,
    ( spl2_351
  <=> n10 = sum(n18,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_351])]) ).

fof(f494,plain,
    n10 = sum(n18,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f3245,plain,
    spl2_350,
    inference(avatar_split_clause,[],[f1142,f3242]) ).

fof(f3242,plain,
    ( spl2_350
  <=> n3 = sum(n22,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_350])]) ).

fof(f1142,plain,
    n3 = sum(n22,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f3240,plain,
    spl2_349,
    inference(avatar_split_clause,[],[f395,f3237]) ).

fof(f3237,plain,
    ( spl2_349
  <=> n22 = sum(n22,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_349])]) ).

fof(f395,plain,
    n22 = sum(n22,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f3235,plain,
    ~ spl2_348,
    inference(avatar_split_clause,[],[f1429,f3232]) ).

fof(f3232,plain,
    ( spl2_348
  <=> n6 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_348])]) ).

fof(f1429,plain,
    n6 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f3230,plain,
    spl2_347,
    inference(avatar_split_clause,[],[f345,f3227]) ).

fof(f3227,plain,
    ( spl2_347
  <=> n24 = sum(n14,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_347])]) ).

fof(f345,plain,
    n24 = sum(n14,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f3225,plain,
    spl2_346,
    inference(avatar_split_clause,[],[f137,f3222]) ).

fof(f3222,plain,
    ( spl2_346
  <=> n30 = sum(n4,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_346])]) ).

fof(f137,plain,
    n30 = sum(n4,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f3220,plain,
    spl2_345,
    inference(avatar_split_clause,[],[f779,f3217]) ).

fof(f3217,plain,
    ( spl2_345
  <=> n22 = sum(n4,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_345])]) ).

fof(f779,plain,
    n22 = sum(n4,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f3215,plain,
    spl2_344,
    inference(avatar_split_clause,[],[f1352,f3212]) ).

fof(f3212,plain,
    ( spl2_344
  <=> n11 = sum(n28,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_344])]) ).

fof(f1352,plain,
    n11 = sum(n28,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f3210,plain,
    ~ spl2_343,
    inference(avatar_split_clause,[],[f605,f3207]) ).

fof(f3207,plain,
    ( spl2_343
  <=> n10 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_343])]) ).

fof(f605,plain,
    n10 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f3205,plain,
    spl2_342,
    inference(avatar_split_clause,[],[f986,f3202]) ).

fof(f3202,plain,
    ( spl2_342
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_342])]) ).

fof(f986,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3200,plain,
    ~ spl2_341,
    inference(avatar_split_clause,[],[f463,f3197]) ).

fof(f3197,plain,
    ( spl2_341
  <=> n9 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_341])]) ).

fof(f463,plain,
    n9 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f3195,plain,
    ~ spl2_340,
    inference(avatar_split_clause,[],[f1294,f3192]) ).

fof(f3192,plain,
    ( spl2_340
  <=> n22 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_340])]) ).

fof(f1294,plain,
    n22 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f3190,plain,
    ~ spl2_339,
    inference(avatar_split_clause,[],[f891,f3187]) ).

fof(f3187,plain,
    ( spl2_339
  <=> n22 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_339])]) ).

fof(f891,plain,
    n22 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f3185,plain,
    spl2_338,
    inference(avatar_split_clause,[],[f1461,f3182]) ).

fof(f3182,plain,
    ( spl2_338
  <=> n3 = sum(n12,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_338])]) ).

fof(f1461,plain,
    n3 = sum(n12,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f3180,plain,
    spl2_337,
    inference(avatar_split_clause,[],[f1055,f3177]) ).

fof(f3177,plain,
    ( spl2_337
  <=> n24 = sum(n3,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_337])]) ).

fof(f1055,plain,
    n24 = sum(n3,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f3175,plain,
    spl2_336,
    inference(avatar_split_clause,[],[f656,f3172]) ).

fof(f3172,plain,
    ( spl2_336
  <=> n2 = sum(n26,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_336])]) ).

fof(f656,plain,
    n2 = sum(n26,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f3170,plain,
    spl2_335,
    inference(avatar_split_clause,[],[f1093,f3167]) ).

fof(f3167,plain,
    ( spl2_335
  <=> n28 = sum(n2,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_335])]) ).

fof(f1093,plain,
    n28 = sum(n2,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f3165,plain,
    ~ spl2_334,
    inference(avatar_split_clause,[],[f274,f3162]) ).

fof(f3162,plain,
    ( spl2_334
  <=> n14 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_334])]) ).

fof(f274,plain,
    n14 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f3160,plain,
    spl2_333,
    inference(avatar_split_clause,[],[f1493,f3157]) ).

fof(f3157,plain,
    ( spl2_333
  <=> n19 = sum(n0,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_333])]) ).

fof(f1493,plain,
    n19 = sum(n0,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f3155,plain,
    spl2_332,
    inference(avatar_split_clause,[],[f987,f3152]) ).

fof(f3152,plain,
    ( spl2_332
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_332])]) ).

fof(f987,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f3150,plain,
    spl2_331,
    inference(avatar_split_clause,[],[f1342,f3147]) ).

fof(f3147,plain,
    ( spl2_331
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_331])]) ).

fof(f1342,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f3145,plain,
    ~ spl2_330,
    inference(avatar_split_clause,[],[f1171,f3142]) ).

fof(f3142,plain,
    ( spl2_330
  <=> n12 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_330])]) ).

fof(f1171,plain,
    n12 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f3140,plain,
    spl2_329,
    inference(avatar_split_clause,[],[f293,f3137]) ).

fof(f3137,plain,
    ( spl2_329
  <=> n25 = sum(n13,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_329])]) ).

fof(f293,plain,
    n25 = sum(n13,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f3135,plain,
    ~ spl2_328,
    inference(avatar_split_clause,[],[f62,f3132]) ).

fof(f3132,plain,
    ( spl2_328
  <=> n4 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_328])]) ).

fof(f62,plain,
    n4 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f3130,plain,
    spl2_327,
    inference(avatar_split_clause,[],[f441,f3127]) ).

fof(f3127,plain,
    ( spl2_327
  <=> n23 = sum(n13,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_327])]) ).

fof(f441,plain,
    n23 = sum(n13,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f3125,plain,
    spl2_326,
    inference(avatar_split_clause,[],[f1025,f3122]) ).

fof(f3122,plain,
    ( spl2_326
  <=> n17 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_326])]) ).

fof(f1025,plain,
    n17 = sum(n10,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f3120,plain,
    spl2_325,
    inference(avatar_split_clause,[],[f1208,f3117]) ).

fof(f3117,plain,
    ( spl2_325
  <=> n25 = sum(n19,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_325])]) ).

fof(f1208,plain,
    n25 = sum(n19,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f3115,plain,
    ~ spl2_324,
    inference(avatar_split_clause,[],[f409,f3112]) ).

fof(f3112,plain,
    ( spl2_324
  <=> n15 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_324])]) ).

fof(f409,plain,
    n15 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f3110,plain,
    ~ spl2_323,
    inference(avatar_split_clause,[],[f762,f3107]) ).

fof(f3107,plain,
    ( spl2_323
  <=> n15 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_323])]) ).

fof(f762,plain,
    n15 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f3105,plain,
    ~ spl2_322,
    inference(avatar_split_clause,[],[f71,f3102]) ).

fof(f3102,plain,
    ( spl2_322
  <=> n9 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_322])]) ).

fof(f71,plain,
    n9 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f3100,plain,
    ~ spl2_321,
    inference(avatar_split_clause,[],[f243,f3097]) ).

fof(f3097,plain,
    ( spl2_321
  <=> n11 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_321])]) ).

fof(f243,plain,
    n11 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f3095,plain,
    spl2_320,
    inference(avatar_split_clause,[],[f23,f3092]) ).

fof(f3092,plain,
    ( spl2_320
  <=> n20 = sum(n30,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_320])]) ).

fof(f23,plain,
    n20 = sum(n30,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f3090,plain,
    spl2_319,
    inference(avatar_split_clause,[],[f552,f3087]) ).

fof(f3087,plain,
    ( spl2_319
  <=> n18 = sum(n28,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_319])]) ).

fof(f552,plain,
    n18 = sum(n28,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f3085,plain,
    spl2_318,
    inference(avatar_split_clause,[],[f1018,f3082]) ).

fof(f3082,plain,
    ( spl2_318
  <=> n8 = sum(n21,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_318])]) ).

fof(f1018,plain,
    n8 = sum(n21,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f3080,plain,
    spl2_317,
    inference(avatar_split_clause,[],[f14,f3077]) ).

fof(f3077,plain,
    ( spl2_317
  <=> n30 = sum(n25,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_317])]) ).

fof(f14,plain,
    n30 = sum(n25,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f3075,plain,
    ~ spl2_316,
    inference(avatar_split_clause,[],[f819,f3072]) ).

fof(f3072,plain,
    ( spl2_316
  <=> n1 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_316])]) ).

fof(f819,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f4]) ).

fof(f3070,plain,
    spl2_315,
    inference(avatar_split_clause,[],[f125,f3067]) ).

fof(f3067,plain,
    ( spl2_315
  <=> n30 = sum(n8,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_315])]) ).

fof(f125,plain,
    n30 = sum(n8,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f3065,plain,
    ~ spl2_314,
    inference(avatar_split_clause,[],[f1495,f3062]) ).

fof(f3062,plain,
    ( spl2_314
  <=> n11 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_314])]) ).

fof(f1495,plain,
    n11 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f3060,plain,
    spl2_313,
    inference(avatar_split_clause,[],[f321,f3057]) ).

fof(f3057,plain,
    ( spl2_313
  <=> n17 = sum(n0,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_313])]) ).

fof(f321,plain,
    n17 = sum(n0,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f3055,plain,
    spl2_312,
    inference(avatar_split_clause,[],[f984,f3052]) ).

fof(f3052,plain,
    ( spl2_312
  <=> n16 = sum(n21,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_312])]) ).

fof(f984,plain,
    n16 = sum(n21,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f3050,plain,
    spl2_311,
    inference(avatar_split_clause,[],[f1003,f3047]) ).

fof(f3047,plain,
    ( spl2_311
  <=> n4 = sum(n7,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_311])]) ).

fof(f1003,plain,
    n4 = sum(n7,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f3045,plain,
    ~ spl2_310,
    inference(avatar_split_clause,[],[f382,f3042]) ).

fof(f3042,plain,
    ( spl2_310
  <=> n3 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_310])]) ).

fof(f382,plain,
    n3 != n13,
    inference(cnf_transformation,[],[f4]) ).

fof(f3040,plain,
    ~ spl2_309,
    inference(avatar_split_clause,[],[f705,f3037]) ).

fof(f3037,plain,
    ( spl2_309
  <=> n2 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_309])]) ).

fof(f705,plain,
    n2 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f3035,plain,
    spl2_308,
    inference(avatar_split_clause,[],[f6,f3032]) ).

fof(f3032,plain,
    ( spl2_308
  <=> n30 = sum(n27,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_308])]) ).

fof(f6,plain,
    n30 = sum(n27,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f3030,plain,
    ~ spl2_307,
    inference(avatar_split_clause,[],[f553,f3027]) ).

fof(f3027,plain,
    ( spl2_307
  <=> n15 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_307])]) ).

fof(f553,plain,
    n15 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f3025,plain,
    ~ spl2_306,
    inference(avatar_split_clause,[],[f1179,f3022]) ).

fof(f3022,plain,
    ( spl2_306
  <=> n6 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_306])]) ).

fof(f1179,plain,
    n6 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f3020,plain,
    spl2_305,
    inference(avatar_split_clause,[],[f1412,f3017]) ).

fof(f3017,plain,
    ( spl2_305
  <=> n30 = sum(n9,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_305])]) ).

fof(f1412,plain,
    n30 = sum(n9,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f3015,plain,
    spl2_304,
    inference(avatar_split_clause,[],[f88,f3012]) ).

fof(f3012,plain,
    ( spl2_304
  <=> n18 = sum(n14,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_304])]) ).

fof(f88,plain,
    n18 = sum(n14,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f3010,plain,
    ~ spl2_303,
    inference(avatar_split_clause,[],[f102,f3007]) ).

fof(f3007,plain,
    ( spl2_303
  <=> n21 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_303])]) ).

fof(f102,plain,
    n21 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f3005,plain,
    spl2_302,
    inference(avatar_split_clause,[],[f1337,f3002]) ).

fof(f3002,plain,
    ( spl2_302
  <=> n12 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_302])]) ).

fof(f1337,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f3000,plain,
    ~ spl2_301,
    inference(avatar_split_clause,[],[f1328,f2997]) ).

fof(f2997,plain,
    ( spl2_301
  <=> n1 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_301])]) ).

fof(f1328,plain,
    n1 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f2995,plain,
    ~ spl2_300,
    inference(avatar_split_clause,[],[f423,f2992]) ).

fof(f2992,plain,
    ( spl2_300
  <=> n2 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_300])]) ).

fof(f423,plain,
    n2 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f2990,plain,
    spl2_299,
    inference(avatar_split_clause,[],[f766,f2987]) ).

fof(f2987,plain,
    ( spl2_299
  <=> n15 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_299])]) ).

fof(f766,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f2985,plain,
    spl2_298,
    inference(avatar_split_clause,[],[f755,f2982]) ).

fof(f2982,plain,
    ( spl2_298
  <=> n16 = sum(n27,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_298])]) ).

fof(f755,plain,
    n16 = sum(n27,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f2980,plain,
    spl2_297,
    inference(avatar_split_clause,[],[f1446,f2977]) ).

fof(f2977,plain,
    ( spl2_297
  <=> n6 = sum(n25,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_297])]) ).

fof(f1446,plain,
    n6 = sum(n25,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f2975,plain,
    spl2_296,
    inference(avatar_split_clause,[],[f685,f2972]) ).

fof(f2972,plain,
    ( spl2_296
  <=> n7 = sum(n25,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_296])]) ).

fof(f685,plain,
    n7 = sum(n25,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f2970,plain,
    spl2_295,
    inference(avatar_split_clause,[],[f1197,f2967]) ).

fof(f2967,plain,
    ( spl2_295
  <=> succ(n23) = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_295])]) ).

fof(f1197,plain,
    succ(n23) = n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f2965,plain,
    ~ spl2_294,
    inference(avatar_split_clause,[],[f215,f2962]) ).

fof(f2962,plain,
    ( spl2_294
  <=> n0 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_294])]) ).

fof(f215,plain,
    n0 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2960,plain,
    spl2_293,
    inference(avatar_split_clause,[],[f47,f2957]) ).

fof(f2957,plain,
    ( spl2_293
  <=> n1 = sum(n27,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_293])]) ).

fof(f47,plain,
    n1 = sum(n27,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f2955,plain,
    ~ spl2_292,
    inference(avatar_split_clause,[],[f1267,f2952]) ).

fof(f2952,plain,
    ( spl2_292
  <=> n6 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_292])]) ).

fof(f1267,plain,
    n6 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2950,plain,
    spl2_291,
    inference(avatar_split_clause,[],[f652,f2947]) ).

fof(f2947,plain,
    ( spl2_291
  <=> n25 = sum(n9,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_291])]) ).

fof(f652,plain,
    n25 = sum(n9,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f2945,plain,
    ~ spl2_290,
    inference(avatar_split_clause,[],[f1072,f2942]) ).

fof(f2942,plain,
    ( spl2_290
  <=> n8 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_290])]) ).

fof(f1072,plain,
    n8 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f2940,plain,
    spl2_289,
    inference(avatar_split_clause,[],[f398,f2937]) ).

fof(f2937,plain,
    ( spl2_289
  <=> n29 = sum(n20,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_289])]) ).

fof(f398,plain,
    n29 = sum(n20,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f2935,plain,
    spl2_288,
    inference(avatar_split_clause,[],[f1303,f2932]) ).

fof(f2932,plain,
    ( spl2_288
  <=> n27 = sum(n2,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_288])]) ).

fof(f1303,plain,
    n27 = sum(n2,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f2930,plain,
    ~ spl2_287,
    inference(avatar_split_clause,[],[f1316,f2927]) ).

fof(f2927,plain,
    ( spl2_287
  <=> n14 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_287])]) ).

fof(f1316,plain,
    n14 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f2925,plain,
    ~ spl2_286,
    inference(avatar_split_clause,[],[f341,f2922]) ).

fof(f2922,plain,
    ( spl2_286
  <=> n26 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_286])]) ).

fof(f341,plain,
    n26 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f2920,plain,
    spl2_285,
    inference(avatar_split_clause,[],[f1382,f2917]) ).

fof(f2917,plain,
    ( spl2_285
  <=> n9 = sum(n25,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_285])]) ).

fof(f1382,plain,
    n9 = sum(n25,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f2915,plain,
    spl2_284,
    inference(avatar_split_clause,[],[f1045,f2912]) ).

fof(f2912,plain,
    ( spl2_284
  <=> n5 = sum(n10,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_284])]) ).

fof(f1045,plain,
    n5 = sum(n10,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f2910,plain,
    spl2_283,
    inference(avatar_split_clause,[],[f936,f2907]) ).

fof(f2907,plain,
    ( spl2_283
  <=> n16 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_283])]) ).

fof(f936,plain,
    n16 = sum(n10,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f2905,plain,
    spl2_282,
    inference(avatar_split_clause,[],[f377,f2902]) ).

fof(f2902,plain,
    ( spl2_282
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_282])]) ).

fof(f377,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2900,plain,
    spl2_281,
    inference(avatar_split_clause,[],[f1029,f2897]) ).

fof(f2897,plain,
    ( spl2_281
  <=> n13 = sum(n20,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_281])]) ).

fof(f1029,plain,
    n13 = sum(n20,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f2895,plain,
    spl2_280,
    inference(avatar_split_clause,[],[f60,f2892]) ).

fof(f2892,plain,
    ( spl2_280
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_280])]) ).

fof(f60,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2890,plain,
    ~ spl2_279,
    inference(avatar_split_clause,[],[f286,f2887]) ).

fof(f2887,plain,
    ( spl2_279
  <=> n23 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_279])]) ).

fof(f286,plain,
    n23 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f2885,plain,
    spl2_278,
    inference(avatar_split_clause,[],[f968,f2882]) ).

fof(f2882,plain,
    ( spl2_278
  <=> n27 = sum(n11,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_278])]) ).

fof(f968,plain,
    n27 = sum(n11,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f2880,plain,
    spl2_277,
    inference(avatar_split_clause,[],[f967,f2877]) ).

fof(f2877,plain,
    ( spl2_277
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_277])]) ).

fof(f967,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f2875,plain,
    spl2_276,
    inference(avatar_split_clause,[],[f93,f2872]) ).

fof(f2872,plain,
    ( spl2_276
  <=> n5 = sum(n25,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_276])]) ).

fof(f93,plain,
    n5 = sum(n25,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f2870,plain,
    spl2_275,
    inference(avatar_split_clause,[],[f351,f2867]) ).

fof(f2867,plain,
    ( spl2_275
  <=> n2 = sum(n9,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_275])]) ).

fof(f351,plain,
    n2 = sum(n9,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f2865,plain,
    spl2_274,
    inference(avatar_split_clause,[],[f1468,f2862]) ).

fof(f2862,plain,
    ( spl2_274
  <=> n30 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_274])]) ).

fof(f1468,plain,
    n30 = pred(n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2860,plain,
    spl2_273,
    inference(avatar_split_clause,[],[f805,f2857]) ).

fof(f2857,plain,
    ( spl2_273
  <=> n19 = pred(n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_273])]) ).

fof(f805,plain,
    n19 = pred(n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f2855,plain,
    ~ spl2_272,
    inference(avatar_split_clause,[],[f639,f2852]) ).

fof(f2852,plain,
    ( spl2_272
  <=> n0 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_272])]) ).

fof(f639,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f2850,plain,
    spl2_271,
    inference(avatar_split_clause,[],[f1247,f2847]) ).

fof(f2847,plain,
    ( spl2_271
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_271])]) ).

fof(f1247,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f2845,plain,
    spl2_270,
    inference(avatar_split_clause,[],[f1388,f2842]) ).

fof(f2842,plain,
    ( spl2_270
  <=> n6 = sum(n23,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_270])]) ).

fof(f1388,plain,
    n6 = sum(n23,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f2840,plain,
    spl2_269,
    inference(avatar_split_clause,[],[f682,f2837]) ).

fof(f2837,plain,
    ( spl2_269
  <=> n12 = sum(n14,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_269])]) ).

fof(f682,plain,
    n12 = sum(n14,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f2835,plain,
    spl2_268,
    inference(avatar_split_clause,[],[f1220,f2832]) ).

fof(f2832,plain,
    ( spl2_268
  <=> n24 = sum(n30,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_268])]) ).

fof(f1220,plain,
    n24 = sum(n30,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f2830,plain,
    spl2_267,
    inference(avatar_split_clause,[],[f453,f2827]) ).

fof(f2827,plain,
    ( spl2_267
  <=> n17 = sum(n26,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_267])]) ).

fof(f453,plain,
    n17 = sum(n26,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f2825,plain,
    spl2_266,
    inference(avatar_split_clause,[],[f559,f2822]) ).

fof(f2822,plain,
    ( spl2_266
  <=> n1 = sum(n11,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_266])]) ).

fof(f559,plain,
    n1 = sum(n11,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f2820,plain,
    spl2_265,
    inference(avatar_split_clause,[],[f608,f2817]) ).

fof(f2817,plain,
    ( spl2_265
  <=> n11 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_265])]) ).

fof(f608,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f2815,plain,
    ~ spl2_264,
    inference(avatar_split_clause,[],[f145,f2812]) ).

fof(f2812,plain,
    ( spl2_264
  <=> n21 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_264])]) ).

fof(f145,plain,
    n21 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f2810,plain,
    spl2_263,
    inference(avatar_split_clause,[],[f129,f2807]) ).

fof(f2807,plain,
    ( spl2_263
  <=> n22 = sum(n14,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_263])]) ).

fof(f129,plain,
    n22 = sum(n14,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f2805,plain,
    ~ spl2_262,
    inference(avatar_split_clause,[],[f1286,f2802]) ).

fof(f2802,plain,
    ( spl2_262
  <=> n16 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_262])]) ).

fof(f1286,plain,
    n16 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f2800,plain,
    ~ spl2_261,
    inference(avatar_split_clause,[],[f232,f2797]) ).

fof(f2797,plain,
    ( spl2_261
  <=> n6 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_261])]) ).

fof(f232,plain,
    n6 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f2795,plain,
    ~ spl2_260,
    inference(avatar_split_clause,[],[f209,f2792]) ).

fof(f2792,plain,
    ( spl2_260
  <=> n5 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_260])]) ).

fof(f209,plain,
    n5 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f2790,plain,
    spl2_259,
    inference(avatar_split_clause,[],[f1477,f2787]) ).

fof(f2787,plain,
    ( spl2_259
  <=> n28 = sum(n28,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_259])]) ).

fof(f1477,plain,
    n28 = sum(n28,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2785,plain,
    spl2_258,
    inference(avatar_split_clause,[],[f740,f2782]) ).

fof(f2782,plain,
    ( spl2_258
  <=> n10 = sum(n11,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_258])]) ).

fof(f740,plain,
    n10 = sum(n11,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2780,plain,
    ~ spl2_257,
    inference(avatar_split_clause,[],[f206,f2777]) ).

fof(f2777,plain,
    ( spl2_257
  <=> n10 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_257])]) ).

fof(f206,plain,
    n10 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f2775,plain,
    ~ spl2_256,
    inference(avatar_split_clause,[],[f834,f2772]) ).

fof(f2772,plain,
    ( spl2_256
  <=> n20 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_256])]) ).

fof(f834,plain,
    n20 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f2770,plain,
    spl2_255,
    inference(avatar_split_clause,[],[f1162,f2767]) ).

fof(f2767,plain,
    ( spl2_255
  <=> n7 = sum(n22,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_255])]) ).

fof(f1162,plain,
    n7 = sum(n22,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f2765,plain,
    spl2_254,
    inference(avatar_split_clause,[],[f888,f2762]) ).

fof(f2762,plain,
    ( spl2_254
  <=> n24 = sum(n22,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_254])]) ).

fof(f888,plain,
    n24 = sum(n22,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2760,plain,
    spl2_253,
    inference(avatar_split_clause,[],[f163,f2757]) ).

fof(f2757,plain,
    ( spl2_253
  <=> n12 = sum(n25,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_253])]) ).

fof(f163,plain,
    n12 = sum(n25,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f2755,plain,
    spl2_252,
    inference(avatar_split_clause,[],[f237,f2752]) ).

fof(f2752,plain,
    ( spl2_252
  <=> succ(n21) = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_252])]) ).

fof(f237,plain,
    succ(n21) = n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f2750,plain,
    spl2_251,
    inference(avatar_split_clause,[],[f1292,f2747]) ).

fof(f2747,plain,
    ( spl2_251
  <=> n12 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_251])]) ).

fof(f1292,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f2745,plain,
    ~ spl2_250,
    inference(avatar_split_clause,[],[f1004,f2742]) ).

fof(f2742,plain,
    ( spl2_250
  <=> n14 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_250])]) ).

fof(f1004,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f2740,plain,
    ~ spl2_249,
    inference(avatar_split_clause,[],[f658,f2737]) ).

fof(f2737,plain,
    ( spl2_249
  <=> n2 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_249])]) ).

fof(f658,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f4]) ).

fof(f2735,plain,
    spl2_248,
    inference(avatar_split_clause,[],[f1047,f2732]) ).

fof(f2732,plain,
    ( spl2_248
  <=> n25 = sum(n0,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_248])]) ).

fof(f1047,plain,
    n25 = sum(n0,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f2730,plain,
    ~ spl2_247,
    inference(avatar_split_clause,[],[f1042,f2727]) ).

fof(f2727,plain,
    ( spl2_247
  <=> n9 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_247])]) ).

fof(f1042,plain,
    n9 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2725,plain,
    spl2_246,
    inference(avatar_split_clause,[],[f136,f2722]) ).

fof(f2722,plain,
    ( spl2_246
  <=> n29 = sum(n12,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_246])]) ).

fof(f136,plain,
    n29 = sum(n12,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f2720,plain,
    ~ spl2_245,
    inference(avatar_split_clause,[],[f487,f2717]) ).

fof(f2717,plain,
    ( spl2_245
  <=> n28 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_245])]) ).

fof(f487,plain,
    n28 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f2715,plain,
    ~ spl2_244,
    inference(avatar_split_clause,[],[f1226,f2712]) ).

fof(f2712,plain,
    ( spl2_244
  <=> n5 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_244])]) ).

fof(f1226,plain,
    n5 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f2710,plain,
    ~ spl2_243,
    inference(avatar_split_clause,[],[f674,f2707]) ).

fof(f2707,plain,
    ( spl2_243
  <=> n14 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_243])]) ).

fof(f674,plain,
    n14 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2705,plain,
    spl2_242,
    inference(avatar_split_clause,[],[f1228,f2702]) ).

fof(f2702,plain,
    ( spl2_242
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_242])]) ).

fof(f1228,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f2700,plain,
    spl2_241,
    inference(avatar_split_clause,[],[f840,f2697]) ).

fof(f2697,plain,
    ( spl2_241
  <=> n2 = sum(n30,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_241])]) ).

fof(f840,plain,
    n2 = sum(n30,n3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2695,plain,
    ~ spl2_240,
    inference(avatar_split_clause,[],[f134,f2692]) ).

fof(f2692,plain,
    ( spl2_240
  <=> n10 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_240])]) ).

fof(f134,plain,
    n10 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f2690,plain,
    spl2_239,
    inference(avatar_split_clause,[],[f809,f2687]) ).

fof(f2687,plain,
    ( spl2_239
  <=> n30 = sum(n19,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_239])]) ).

fof(f809,plain,
    n30 = sum(n19,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f2685,plain,
    ~ spl2_238,
    inference(avatar_split_clause,[],[f411,f2682]) ).

fof(f2682,plain,
    ( spl2_238
  <=> n13 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_238])]) ).

fof(f411,plain,
    n13 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f2680,plain,
    ~ spl2_237,
    inference(avatar_split_clause,[],[f448,f2677]) ).

fof(f2677,plain,
    ( spl2_237
  <=> n8 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_237])]) ).

fof(f448,plain,
    n8 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2675,plain,
    ~ spl2_236,
    inference(avatar_split_clause,[],[f1299,f2672]) ).

fof(f2672,plain,
    ( spl2_236
  <=> n19 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_236])]) ).

fof(f1299,plain,
    n19 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f2670,plain,
    ~ spl2_235,
    inference(avatar_split_clause,[],[f497,f2667]) ).

fof(f2667,plain,
    ( spl2_235
  <=> n10 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_235])]) ).

fof(f497,plain,
    n10 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f2665,plain,
    ~ spl2_234,
    inference(avatar_split_clause,[],[f332,f2662]) ).

fof(f2662,plain,
    ( spl2_234
  <=> n6 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_234])]) ).

fof(f332,plain,
    n6 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f2660,plain,
    ~ spl2_233,
    inference(avatar_split_clause,[],[f1117,f2657]) ).

fof(f2657,plain,
    ( spl2_233
  <=> n13 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_233])]) ).

fof(f1117,plain,
    n13 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f2655,plain,
    spl2_232,
    inference(avatar_split_clause,[],[f500,f2652]) ).

fof(f2652,plain,
    ( spl2_232
  <=> n30 = sum(n6,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_232])]) ).

fof(f500,plain,
    n30 = sum(n6,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f2650,plain,
    ~ spl2_231,
    inference(avatar_split_clause,[],[f843,f2647]) ).

fof(f2647,plain,
    ( spl2_231
  <=> n0 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_231])]) ).

fof(f843,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f4]) ).

fof(f2645,plain,
    spl2_230,
    inference(avatar_split_clause,[],[f1227,f2642]) ).

fof(f2642,plain,
    ( spl2_230
  <=> n22 = sum(n8,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_230])]) ).

fof(f1227,plain,
    n22 = sum(n8,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f2640,plain,
    ~ spl2_229,
    inference(avatar_split_clause,[],[f1282,f2637]) ).

fof(f2637,plain,
    ( spl2_229
  <=> n3 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_229])]) ).

fof(f1282,plain,
    n3 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f2635,plain,
    spl2_228,
    inference(avatar_split_clause,[],[f1103,f2632]) ).

fof(f2632,plain,
    ( spl2_228
  <=> n11 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_228])]) ).

fof(f1103,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2630,plain,
    spl2_227,
    inference(avatar_split_clause,[],[f1052,f2627]) ).

fof(f2627,plain,
    ( spl2_227
  <=> n25 = sum(n26,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_227])]) ).

fof(f1052,plain,
    n25 = sum(n26,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2625,plain,
    ~ spl2_226,
    inference(avatar_split_clause,[],[f1420,f2622]) ).

fof(f2622,plain,
    ( spl2_226
  <=> n6 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_226])]) ).

fof(f1420,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f4]) ).

fof(f2620,plain,
    spl2_225,
    inference(avatar_split_clause,[],[f225,f2617]) ).

fof(f2617,plain,
    ( spl2_225
  <=> n25 = sum(n16,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_225])]) ).

fof(f225,plain,
    n25 = sum(n16,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f2615,plain,
    spl2_224,
    inference(avatar_split_clause,[],[f1279,f2612]) ).

fof(f2612,plain,
    ( spl2_224
  <=> n26 = sum(n8,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_224])]) ).

fof(f1279,plain,
    n26 = sum(n8,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f2610,plain,
    ~ spl2_223,
    inference(avatar_split_clause,[],[f529,f2607]) ).

fof(f2607,plain,
    ( spl2_223
  <=> n24 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_223])]) ).

fof(f529,plain,
    n24 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f2605,plain,
    ~ spl2_222,
    inference(avatar_split_clause,[],[f32,f2602]) ).

fof(f2602,plain,
    ( spl2_222
  <=> n12 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_222])]) ).

fof(f32,plain,
    n12 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f2600,plain,
    spl2_221,
    inference(avatar_split_clause,[],[f1362,f2597]) ).

fof(f2597,plain,
    ( spl2_221
  <=> n3 = sum(n10,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_221])]) ).

fof(f1362,plain,
    n3 = sum(n10,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f2595,plain,
    ~ spl2_220,
    inference(avatar_split_clause,[],[f227,f2592]) ).

fof(f2592,plain,
    ( spl2_220
  <=> n10 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_220])]) ).

fof(f227,plain,
    n10 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f2590,plain,
    spl2_219,
    inference(avatar_split_clause,[],[f449,f2587]) ).

fof(f2587,plain,
    ( spl2_219
  <=> n18 = sum(n5,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_219])]) ).

fof(f449,plain,
    n18 = sum(n5,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f2585,plain,
    ~ spl2_218,
    inference(avatar_split_clause,[],[f870,f2582]) ).

fof(f2582,plain,
    ( spl2_218
  <=> n17 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_218])]) ).

fof(f870,plain,
    n17 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f2580,plain,
    spl2_217,
    inference(avatar_split_clause,[],[f699,f2577]) ).

fof(f2577,plain,
    ( spl2_217
  <=> n17 = sum(n28,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_217])]) ).

fof(f699,plain,
    n17 = sum(n28,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f2575,plain,
    spl2_216,
    inference(avatar_split_clause,[],[f1354,f2572]) ).

fof(f2572,plain,
    ( spl2_216
  <=> n5 = sum(n12,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_216])]) ).

fof(f1354,plain,
    n5 = sum(n12,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f2570,plain,
    ~ spl2_215,
    inference(avatar_split_clause,[],[f495,f2567]) ).

fof(f2567,plain,
    ( spl2_215
  <=> n7 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_215])]) ).

fof(f495,plain,
    n7 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f2565,plain,
    spl2_214,
    inference(avatar_split_clause,[],[f617,f2562]) ).

fof(f2562,plain,
    ( spl2_214
  <=> n2 = sum(n10,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_214])]) ).

fof(f617,plain,
    n2 = sum(n10,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f2560,plain,
    spl2_213,
    inference(avatar_split_clause,[],[f749,f2557]) ).

fof(f2557,plain,
    ( spl2_213
  <=> n22 = sum(n12,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_213])]) ).

fof(f749,plain,
    n22 = sum(n12,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f2555,plain,
    spl2_212,
    inference(avatar_split_clause,[],[f1202,f2552]) ).

fof(f2552,plain,
    ( spl2_212
  <=> n17 = sum(n12,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_212])]) ).

fof(f1202,plain,
    n17 = sum(n12,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f2550,plain,
    ~ spl2_211,
    inference(avatar_split_clause,[],[f50,f2547]) ).

fof(f2547,plain,
    ( spl2_211
  <=> n0 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_211])]) ).

fof(f50,plain,
    n0 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f2545,plain,
    spl2_210,
    inference(avatar_split_clause,[],[f916,f2542]) ).

fof(f2542,plain,
    ( spl2_210
  <=> n18 = sum(n26,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_210])]) ).

fof(f916,plain,
    n18 = sum(n26,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f2540,plain,
    spl2_209,
    inference(avatar_split_clause,[],[f385,f2537]) ).

fof(f2537,plain,
    ( spl2_209
  <=> n23 = sum(n7,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_209])]) ).

fof(f385,plain,
    n23 = sum(n7,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f2535,plain,
    spl2_208,
    inference(avatar_split_clause,[],[f291,f2532]) ).

fof(f2532,plain,
    ( spl2_208
  <=> n16 = sum(n1,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_208])]) ).

fof(f291,plain,
    n16 = sum(n1,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f2530,plain,
    spl2_207,
    inference(avatar_split_clause,[],[f985,f2527]) ).

fof(f2527,plain,
    ( spl2_207
  <=> succ(n15) = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_207])]) ).

fof(f985,plain,
    succ(n15) = n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f2525,plain,
    spl2_206,
    inference(avatar_split_clause,[],[f714,f2522]) ).

fof(f2522,plain,
    ( spl2_206
  <=> n2 = sum(n14,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_206])]) ).

fof(f714,plain,
    n2 = sum(n14,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f2520,plain,
    spl2_205,
    inference(avatar_split_clause,[],[f780,f2517]) ).

fof(f2517,plain,
    ( spl2_205
  <=> n3 = sum(n30,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_205])]) ).

fof(f780,plain,
    n3 = sum(n30,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2515,plain,
    spl2_204,
    inference(avatar_split_clause,[],[f1439,f2512]) ).

fof(f2512,plain,
    ( spl2_204
  <=> n29 = sum(n1,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_204])]) ).

fof(f1439,plain,
    n29 = sum(n1,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f2510,plain,
    ~ spl2_203,
    inference(avatar_split_clause,[],[f566,f2507]) ).

fof(f2507,plain,
    ( spl2_203
  <=> n1 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_203])]) ).

fof(f566,plain,
    n1 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2505,plain,
    ~ spl2_202,
    inference(avatar_split_clause,[],[f11,f2502]) ).

fof(f2502,plain,
    ( spl2_202
  <=> n20 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_202])]) ).

fof(f11,plain,
    n20 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f2500,plain,
    ~ spl2_201,
    inference(avatar_split_clause,[],[f1148,f2497]) ).

fof(f2497,plain,
    ( spl2_201
  <=> n12 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_201])]) ).

fof(f1148,plain,
    n12 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f2495,plain,
    spl2_200,
    inference(avatar_split_clause,[],[f1099,f2492]) ).

fof(f2492,plain,
    ( spl2_200
  <=> n23 = sum(n15,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_200])]) ).

fof(f1099,plain,
    n23 = sum(n15,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f2490,plain,
    ~ spl2_199,
    inference(avatar_split_clause,[],[f554,f2487]) ).

fof(f2487,plain,
    ( spl2_199
  <=> n11 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_199])]) ).

fof(f554,plain,
    n11 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f2485,plain,
    spl2_198,
    inference(avatar_split_clause,[],[f1147,f2482]) ).

fof(f2482,plain,
    ( spl2_198
  <=> n28 = sum(n18,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_198])]) ).

fof(f1147,plain,
    n28 = sum(n18,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f2480,plain,
    ~ spl2_197,
    inference(avatar_split_clause,[],[f539,f2477]) ).

fof(f2477,plain,
    ( spl2_197
  <=> n20 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_197])]) ).

fof(f539,plain,
    n20 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f2475,plain,
    ~ spl2_196,
    inference(avatar_split_clause,[],[f392,f2472]) ).

fof(f2472,plain,
    ( spl2_196
  <=> n10 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_196])]) ).

fof(f392,plain,
    n10 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f2470,plain,
    spl2_195,
    inference(avatar_split_clause,[],[f200,f2467]) ).

fof(f2467,plain,
    ( spl2_195
  <=> n16 = sum(n2,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_195])]) ).

fof(f200,plain,
    n16 = sum(n2,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f2465,plain,
    ~ spl2_194,
    inference(avatar_split_clause,[],[f174,f2462]) ).

fof(f2462,plain,
    ( spl2_194
  <=> n16 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_194])]) ).

fof(f174,plain,
    n16 != n20,
    inference(cnf_transformation,[],[f4]) ).

fof(f2460,plain,
    ~ spl2_193,
    inference(avatar_split_clause,[],[f1075,f2457]) ).

fof(f2457,plain,
    ( spl2_193
  <=> n0 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_193])]) ).

fof(f1075,plain,
    n0 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f2455,plain,
    spl2_192,
    inference(avatar_split_clause,[],[f533,f2452]) ).

fof(f2452,plain,
    ( spl2_192
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_192])]) ).

fof(f533,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2450,plain,
    spl2_191,
    inference(avatar_split_clause,[],[f1402,f2447]) ).

fof(f2447,plain,
    ( spl2_191
  <=> n15 = sum(n11,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_191])]) ).

fof(f1402,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2445,plain,
    spl2_190,
    inference(avatar_split_clause,[],[f1087,f2442]) ).

fof(f2442,plain,
    ( spl2_190
  <=> n21 = pred(n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_190])]) ).

fof(f1087,plain,
    n21 = pred(n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f2440,plain,
    spl2_189,
    inference(avatar_split_clause,[],[f114,f2437]) ).

fof(f2437,plain,
    ( spl2_189
  <=> n7 = sum(n23,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_189])]) ).

fof(f114,plain,
    n7 = sum(n23,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f2435,plain,
    spl2_188,
    inference(avatar_split_clause,[],[f482,f2432]) ).

fof(f2432,plain,
    ( spl2_188
  <=> n4 = sum(n22,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_188])]) ).

fof(f482,plain,
    n4 = sum(n22,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f2430,plain,
    ~ spl2_187,
    inference(avatar_split_clause,[],[f1349,f2427]) ).

fof(f2427,plain,
    ( spl2_187
  <=> n5 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_187])]) ).

fof(f1349,plain,
    n5 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f2425,plain,
    spl2_186,
    inference(avatar_split_clause,[],[f143,f2422]) ).

fof(f2422,plain,
    ( spl2_186
  <=> n30 = sum(n0,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_186])]) ).

fof(f143,plain,
    n30 = sum(n0,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2420,plain,
    spl2_185,
    inference(avatar_split_clause,[],[f521,f2417]) ).

fof(f2417,plain,
    ( spl2_185
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_185])]) ).

fof(f521,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f4]) ).

fof(f2415,plain,
    spl2_184,
    inference(avatar_split_clause,[],[f1405,f2412]) ).

fof(f2412,plain,
    ( spl2_184
  <=> n30 = sum(n28,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_184])]) ).

fof(f1405,plain,
    n30 = sum(n28,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2410,plain,
    spl2_183,
    inference(avatar_split_clause,[],[f550,f2407]) ).

fof(f2407,plain,
    ( spl2_183
  <=> n5 = sum(n21,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_183])]) ).

fof(f550,plain,
    n5 = sum(n21,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f2405,plain,
    spl2_182,
    inference(avatar_split_clause,[],[f181,f2402]) ).

fof(f2402,plain,
    ( spl2_182
  <=> n18 = sum(n19,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_182])]) ).

fof(f181,plain,
    n18 = sum(n19,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2400,plain,
    spl2_181,
    inference(avatar_split_clause,[],[f1145,f2397]) ).

fof(f2397,plain,
    ( spl2_181
  <=> n6 = sum(n27,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_181])]) ).

fof(f1145,plain,
    n6 = sum(n27,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f2395,plain,
    spl2_180,
    inference(avatar_split_clause,[],[f161,f2392]) ).

fof(f2392,plain,
    ( spl2_180
  <=> n24 = sum(n2,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_180])]) ).

fof(f161,plain,
    n24 = sum(n2,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f2390,plain,
    ~ spl2_179,
    inference(avatar_split_clause,[],[f955,f2387]) ).

fof(f2387,plain,
    ( spl2_179
  <=> n2 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_179])]) ).

fof(f955,plain,
    n2 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f2385,plain,
    ~ spl2_178,
    inference(avatar_split_clause,[],[f814,f2382]) ).

fof(f2382,plain,
    ( spl2_178
  <=> n4 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_178])]) ).

fof(f814,plain,
    n4 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f2380,plain,
    spl2_177,
    inference(avatar_split_clause,[],[f1239,f2377]) ).

fof(f2377,plain,
    ( spl2_177
  <=> n10 = sum(n21,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_177])]) ).

fof(f1239,plain,
    n10 = sum(n21,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f2375,plain,
    spl2_176,
    inference(avatar_split_clause,[],[f785,f2372]) ).

fof(f2372,plain,
    ( spl2_176
  <=> succ(n29) = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_176])]) ).

fof(f785,plain,
    succ(n29) = n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f2370,plain,
    spl2_175,
    inference(avatar_split_clause,[],[f949,f2367]) ).

fof(f2367,plain,
    ( spl2_175
  <=> n8 = sum(n20,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_175])]) ).

fof(f949,plain,
    n8 = sum(n20,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f2365,plain,
    spl2_174,
    inference(avatar_split_clause,[],[f754,f2362]) ).

fof(f2362,plain,
    ( spl2_174
  <=> n30 = sum(n3,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_174])]) ).

fof(f754,plain,
    n30 = sum(n3,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f2360,plain,
    spl2_173,
    inference(avatar_split_clause,[],[f609,f2357]) ).

fof(f2357,plain,
    ( spl2_173
  <=> n2 = sum(n23,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_173])]) ).

fof(f609,plain,
    n2 = sum(n23,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f2355,plain,
    spl2_172,
    inference(avatar_split_clause,[],[f309,f2352]) ).

fof(f2352,plain,
    ( spl2_172
  <=> n17 = sum(n18,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_172])]) ).

fof(f309,plain,
    n17 = sum(n18,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2350,plain,
    spl2_171,
    inference(avatar_split_clause,[],[f362,f2347]) ).

fof(f2347,plain,
    ( spl2_171
  <=> n28 = sum(n8,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_171])]) ).

fof(f362,plain,
    n28 = sum(n8,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f2345,plain,
    ~ spl2_170,
    inference(avatar_split_clause,[],[f61,f2342]) ).

fof(f2342,plain,
    ( spl2_170
  <=> n2 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_170])]) ).

fof(f61,plain,
    n2 != n16,
    inference(cnf_transformation,[],[f4]) ).

fof(f2340,plain,
    spl2_169,
    inference(avatar_split_clause,[],[f1365,f2337]) ).

fof(f2337,plain,
    ( spl2_169
  <=> n2 = sum(n3,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_169])]) ).

fof(f1365,plain,
    n2 = sum(n3,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2335,plain,
    spl2_168,
    inference(avatar_split_clause,[],[f734,f2332]) ).

fof(f2332,plain,
    ( spl2_168
  <=> n4 = sum(n29,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_168])]) ).

fof(f734,plain,
    n4 = sum(n29,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f2330,plain,
    ~ spl2_167,
    inference(avatar_split_clause,[],[f202,f2327]) ).

fof(f2327,plain,
    ( spl2_167
  <=> n27 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_167])]) ).

fof(f202,plain,
    n27 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f2325,plain,
    spl2_166,
    inference(avatar_split_clause,[],[f179,f2322]) ).

fof(f2322,plain,
    ( spl2_166
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_166])]) ).

fof(f179,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f2320,plain,
    spl2_165,
    inference(avatar_split_clause,[],[f255,f2317]) ).

fof(f2317,plain,
    ( spl2_165
  <=> n14 = sum(n23,n22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_165])]) ).

fof(f255,plain,
    n14 = sum(n23,n22),
    inference(cnf_transformation,[],[f4]) ).

fof(f2315,plain,
    spl2_164,
    inference(avatar_split_clause,[],[f1394,f2312]) ).

fof(f2312,plain,
    ( spl2_164
  <=> n16 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_164])]) ).

fof(f1394,plain,
    n16 = sum(n8,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f2310,plain,
    ~ spl2_163,
    inference(avatar_split_clause,[],[f483,f2307]) ).

fof(f2307,plain,
    ( spl2_163
  <=> n5 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_163])]) ).

fof(f483,plain,
    n5 != n6,
    inference(cnf_transformation,[],[f4]) ).

fof(f2305,plain,
    spl2_162,
    inference(avatar_split_clause,[],[f622,f2302]) ).

fof(f2302,plain,
    ( spl2_162
  <=> succ(n25) = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_162])]) ).

fof(f622,plain,
    succ(n25) = n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f2300,plain,
    ~ spl2_161,
    inference(avatar_split_clause,[],[f1492,f2297]) ).

fof(f2297,plain,
    ( spl2_161
  <=> n18 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_161])]) ).

fof(f1492,plain,
    n18 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f2295,plain,
    spl2_160,
    inference(avatar_split_clause,[],[f1123,f2292]) ).

fof(f2292,plain,
    ( spl2_160
  <=> n1 = sum(n5,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_160])]) ).

fof(f1123,plain,
    n1 = sum(n5,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f2290,plain,
    ~ spl2_159,
    inference(avatar_split_clause,[],[f1409,f2287]) ).

fof(f2287,plain,
    ( spl2_159
  <=> n13 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_159])]) ).

fof(f1409,plain,
    n13 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f2285,plain,
    spl2_158,
    inference(avatar_split_clause,[],[f1164,f2282]) ).

fof(f2282,plain,
    ( spl2_158
  <=> n1 = sum(n13,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_158])]) ).

fof(f1164,plain,
    n1 = sum(n13,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f2280,plain,
    ~ spl2_157,
    inference(avatar_split_clause,[],[f94,f2277]) ).

fof(f2277,plain,
    ( spl2_157
  <=> n4 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_157])]) ).

fof(f94,plain,
    n4 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f2275,plain,
    spl2_156,
    inference(avatar_split_clause,[],[f1031,f2272]) ).

fof(f2272,plain,
    ( spl2_156
  <=> n5 = sum(n24,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_156])]) ).

fof(f1031,plain,
    n5 = sum(n24,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f2270,plain,
    ~ spl2_155,
    inference(avatar_split_clause,[],[f595,f2267]) ).

fof(f2267,plain,
    ( spl2_155
  <=> n7 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_155])]) ).

fof(f595,plain,
    n7 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f2265,plain,
    spl2_154,
    inference(avatar_split_clause,[],[f855,f2262]) ).

fof(f2262,plain,
    ( spl2_154
  <=> n29 = sum(n21,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_154])]) ).

fof(f855,plain,
    n29 = sum(n21,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f2260,plain,
    ~ spl2_153,
    inference(avatar_split_clause,[],[f368,f2257]) ).

fof(f2257,plain,
    ( spl2_153
  <=> n1 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_153])]) ).

fof(f368,plain,
    n1 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f2255,plain,
    ~ spl2_152,
    inference(avatar_split_clause,[],[f1283,f2252]) ).

fof(f2252,plain,
    ( spl2_152
  <=> n25 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_152])]) ).

fof(f1283,plain,
    n25 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f2250,plain,
    spl2_151,
    inference(avatar_split_clause,[],[f660,f2247]) ).

fof(f2247,plain,
    ( spl2_151
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_151])]) ).

fof(f660,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f2245,plain,
    spl2_150,
    inference(avatar_split_clause,[],[f526,f2242]) ).

fof(f2242,plain,
    ( spl2_150
  <=> n8 = sum(n12,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_150])]) ).

fof(f526,plain,
    n8 = sum(n12,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f2240,plain,
    spl2_149,
    inference(avatar_split_clause,[],[f142,f2237]) ).

fof(f2237,plain,
    ( spl2_149
  <=> n6 = sum(n7,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_149])]) ).

fof(f142,plain,
    n6 = sum(n7,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2235,plain,
    spl2_148,
    inference(avatar_split_clause,[],[f1357,f2232]) ).

fof(f2232,plain,
    ( spl2_148
  <=> n14 = sum(n30,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_148])]) ).

fof(f1357,plain,
    n14 = sum(n30,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f2230,plain,
    spl2_147,
    inference(avatar_split_clause,[],[f1363,f2227]) ).

fof(f2227,plain,
    ( spl2_147
  <=> n13 = sum(n25,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_147])]) ).

fof(f1363,plain,
    n13 = sum(n25,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f2225,plain,
    spl2_146,
    inference(avatar_split_clause,[],[f1467,f2222]) ).

fof(f2222,plain,
    ( spl2_146
  <=> n30 = sum(n23,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_146])]) ).

fof(f1467,plain,
    n30 = sum(n23,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f2220,plain,
    spl2_145,
    inference(avatar_split_clause,[],[f1417,f2217]) ).

fof(f2217,plain,
    ( spl2_145
  <=> n30 = sum(n13,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_145])]) ).

fof(f1417,plain,
    n30 = sum(n13,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f2215,plain,
    ~ spl2_144,
    inference(avatar_split_clause,[],[f700,f2212]) ).

fof(f2212,plain,
    ( spl2_144
  <=> n5 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_144])]) ).

fof(f700,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f2210,plain,
    spl2_143,
    inference(avatar_split_clause,[],[f1449,f2207]) ).

fof(f2207,plain,
    ( spl2_143
  <=> n15 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_143])]) ).

fof(f1449,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f2205,plain,
    spl2_142,
    inference(avatar_split_clause,[],[f1448,f2202]) ).

fof(f2202,plain,
    ( spl2_142
  <=> n23 = sum(n28,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_142])]) ).

fof(f1448,plain,
    n23 = sum(n28,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f2200,plain,
    ~ spl2_141,
    inference(avatar_split_clause,[],[f292,f2197]) ).

fof(f2197,plain,
    ( spl2_141
  <=> n5 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_141])]) ).

fof(f292,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f2195,plain,
    spl2_140,
    inference(avatar_split_clause,[],[f681,f2192]) ).

fof(f2192,plain,
    ( spl2_140
  <=> n11 = sum(n18,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_140])]) ).

fof(f681,plain,
    n11 = sum(n18,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f2190,plain,
    ~ spl2_139,
    inference(avatar_split_clause,[],[f231,f2187]) ).

fof(f2187,plain,
    ( spl2_139
  <=> n8 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_139])]) ).

fof(f231,plain,
    n8 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f2185,plain,
    spl2_138,
    inference(avatar_split_clause,[],[f152,f2182]) ).

fof(f2182,plain,
    ( spl2_138
  <=> n23 = sum(n25,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_138])]) ).

fof(f152,plain,
    n23 = sum(n25,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f2180,plain,
    spl2_137,
    inference(avatar_split_clause,[],[f727,f2177]) ).

fof(f2177,plain,
    ( spl2_137
  <=> n12 = sum(n29,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_137])]) ).

fof(f727,plain,
    n12 = sum(n29,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f2175,plain,
    spl2_136,
    inference(avatar_split_clause,[],[f1447,f2172]) ).

fof(f2172,plain,
    ( spl2_136
  <=> n22 = pred(n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_136])]) ).

fof(f1447,plain,
    n22 = pred(n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f2170,plain,
    ~ spl2_135,
    inference(avatar_split_clause,[],[f147,f2167]) ).

fof(f2167,plain,
    ( spl2_135
  <=> n1 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_135])]) ).

fof(f147,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f2165,plain,
    spl2_134,
    inference(avatar_split_clause,[],[f1293,f2162]) ).

fof(f2162,plain,
    ( spl2_134
  <=> succ(n18) = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_134])]) ).

fof(f1293,plain,
    succ(n18) = n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2160,plain,
    ~ spl2_133,
    inference(avatar_split_clause,[],[f1321,f2157]) ).

fof(f2157,plain,
    ( spl2_133
  <=> n15 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_133])]) ).

fof(f1321,plain,
    n15 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2155,plain,
    spl2_132,
    inference(avatar_split_clause,[],[f635,f2152]) ).

fof(f2152,plain,
    ( spl2_132
  <=> n5 = sum(n18,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_132])]) ).

fof(f635,plain,
    n5 = sum(n18,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f2150,plain,
    spl2_131,
    inference(avatar_split_clause,[],[f344,f2147]) ).

fof(f2147,plain,
    ( spl2_131
  <=> n2 = sum(n5,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_131])]) ).

fof(f344,plain,
    n2 = sum(n5,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f2145,plain,
    spl2_130,
    inference(avatar_split_clause,[],[f654,f2142]) ).

fof(f2142,plain,
    ( spl2_130
  <=> n1 = sum(n25,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_130])]) ).

fof(f654,plain,
    n1 = sum(n25,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f2140,plain,
    ~ spl2_129,
    inference(avatar_split_clause,[],[f747,f2137]) ).

fof(f2137,plain,
    ( spl2_129
  <=> n21 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_129])]) ).

fof(f747,plain,
    n21 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f2135,plain,
    spl2_128,
    inference(avatar_split_clause,[],[f384,f2132]) ).

fof(f2132,plain,
    ( spl2_128
  <=> n30 = sum(n21,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_128])]) ).

fof(f384,plain,
    n30 = sum(n21,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f2130,plain,
    spl2_127,
    inference(avatar_split_clause,[],[f1343,f2127]) ).

fof(f2127,plain,
    ( spl2_127
  <=> n8 = sum(n24,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_127])]) ).

fof(f1343,plain,
    n8 = sum(n24,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f2125,plain,
    ~ spl2_126,
    inference(avatar_split_clause,[],[f378,f2122]) ).

fof(f2122,plain,
    ( spl2_126
  <=> n8 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_126])]) ).

fof(f378,plain,
    n8 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f2120,plain,
    spl2_125,
    inference(avatar_split_clause,[],[f1345,f2117]) ).

fof(f2117,plain,
    ( spl2_125
  <=> n20 = sum(n21,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_125])]) ).

fof(f1345,plain,
    n20 = sum(n21,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2115,plain,
    ~ spl2_124,
    inference(avatar_split_clause,[],[f628,f2112]) ).

fof(f2112,plain,
    ( spl2_124
  <=> n12 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_124])]) ).

fof(f628,plain,
    n12 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f2110,plain,
    spl2_123,
    inference(avatar_split_clause,[],[f938,f2107]) ).

fof(f2107,plain,
    ( spl2_123
  <=> n11 = sum(n21,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_123])]) ).

fof(f938,plain,
    n11 = sum(n21,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f2105,plain,
    spl2_122,
    inference(avatar_split_clause,[],[f744,f2102]) ).

fof(f2102,plain,
    ( spl2_122
  <=> n23 = sum(n10,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_122])]) ).

fof(f744,plain,
    n23 = sum(n10,n13),
    inference(cnf_transformation,[],[f4]) ).

fof(f2100,plain,
    ~ spl2_121,
    inference(avatar_split_clause,[],[f914,f2097]) ).

fof(f2097,plain,
    ( spl2_121
  <=> n3 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_121])]) ).

fof(f914,plain,
    n3 != n10,
    inference(cnf_transformation,[],[f4]) ).

fof(f2095,plain,
    ~ spl2_120,
    inference(avatar_split_clause,[],[f931,f2092]) ).

fof(f2092,plain,
    ( spl2_120
  <=> n23 = n24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_120])]) ).

fof(f931,plain,
    n23 != n24,
    inference(cnf_transformation,[],[f4]) ).

fof(f2090,plain,
    ~ spl2_119,
    inference(avatar_split_clause,[],[f794,f2087]) ).

fof(f2087,plain,
    ( spl2_119
  <=> n21 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_119])]) ).

fof(f794,plain,
    n21 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f2085,plain,
    spl2_118,
    inference(avatar_split_clause,[],[f1056,f2082]) ).

fof(f2082,plain,
    ( spl2_118
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_118])]) ).

fof(f1056,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f2080,plain,
    spl2_117,
    inference(avatar_split_clause,[],[f246,f2077]) ).

fof(f2077,plain,
    ( spl2_117
  <=> n13 = sum(n17,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_117])]) ).

fof(f246,plain,
    n13 = sum(n17,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f2075,plain,
    ~ spl2_116,
    inference(avatar_split_clause,[],[f563,f2072]) ).

fof(f2072,plain,
    ( spl2_116
  <=> n4 = n29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_116])]) ).

fof(f563,plain,
    n4 != n29,
    inference(cnf_transformation,[],[f4]) ).

fof(f2070,plain,
    ~ spl2_115,
    inference(avatar_split_clause,[],[f26,f2067]) ).

fof(f2067,plain,
    ( spl2_115
  <=> n2 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_115])]) ).

fof(f26,plain,
    n2 != n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f2065,plain,
    ~ spl2_114,
    inference(avatar_split_clause,[],[f1013,f2062]) ).

fof(f2062,plain,
    ( spl2_114
  <=> n8 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_114])]) ).

fof(f1013,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f4]) ).

fof(f2060,plain,
    spl2_113,
    inference(avatar_split_clause,[],[f1086,f2057]) ).

fof(f2057,plain,
    ( spl2_113
  <=> n12 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_113])]) ).

fof(f1086,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2055,plain,
    ~ spl2_112,
    inference(avatar_split_clause,[],[f966,f2052]) ).

fof(f2052,plain,
    ( spl2_112
  <=> n15 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_112])]) ).

fof(f966,plain,
    n15 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f2050,plain,
    spl2_111,
    inference(avatar_split_clause,[],[f954,f2047]) ).

fof(f2047,plain,
    ( spl2_111
  <=> n17 = sum(n16,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_111])]) ).

fof(f954,plain,
    n17 = sum(n16,n1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2045,plain,
    spl2_110,
    inference(avatar_split_clause,[],[f872,f2042]) ).

fof(f2042,plain,
    ( spl2_110
  <=> n20 = sum(n8,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_110])]) ).

fof(f872,plain,
    n20 = sum(n8,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f2040,plain,
    spl2_109,
    inference(avatar_split_clause,[],[f41,f2037]) ).

fof(f2037,plain,
    ( spl2_109
  <=> n21 = sum(n6,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_109])]) ).

fof(f41,plain,
    n21 = sum(n6,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f2035,plain,
    ~ spl2_108,
    inference(avatar_split_clause,[],[f1338,f2032]) ).

fof(f2032,plain,
    ( spl2_108
  <=> n16 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_108])]) ).

fof(f1338,plain,
    n16 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f2030,plain,
    spl2_107,
    inference(avatar_split_clause,[],[f1061,f2027]) ).

fof(f2027,plain,
    ( spl2_107
  <=> n25 = sum(n10,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_107])]) ).

fof(f1061,plain,
    n25 = sum(n10,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f2025,plain,
    ~ spl2_106,
    inference(avatar_split_clause,[],[f249,f2022]) ).

fof(f2022,plain,
    ( spl2_106
  <=> n3 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_106])]) ).

fof(f249,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f4]) ).

fof(f2020,plain,
    spl2_105,
    inference(avatar_split_clause,[],[f758,f2017]) ).

fof(f2017,plain,
    ( spl2_105
  <=> n3 = sum(n26,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_105])]) ).

fof(f758,plain,
    n3 = sum(n26,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f2015,plain,
    spl2_104,
    inference(avatar_split_clause,[],[f92,f2012]) ).

fof(f2012,plain,
    ( spl2_104
  <=> n1 = sum(n21,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_104])]) ).

fof(f92,plain,
    n1 = sum(n21,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f2010,plain,
    spl2_103,
    inference(avatar_split_clause,[],[f1221,f2007]) ).

fof(f2007,plain,
    ( spl2_103
  <=> n7 = sum(n8,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_103])]) ).

fof(f1221,plain,
    n7 = sum(n8,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f2005,plain,
    spl2_102,
    inference(avatar_split_clause,[],[f1340,f2002]) ).

fof(f2002,plain,
    ( spl2_102
  <=> n19 = sum(n3,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_102])]) ).

fof(f1340,plain,
    n19 = sum(n3,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f2000,plain,
    ~ spl2_101,
    inference(avatar_split_clause,[],[f1071,f1997]) ).

fof(f1997,plain,
    ( spl2_101
  <=> n0 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_101])]) ).

fof(f1071,plain,
    n0 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f1995,plain,
    ~ spl2_100,
    inference(avatar_split_clause,[],[f445,f1992]) ).

fof(f1992,plain,
    ( spl2_100
  <=> n0 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_100])]) ).

fof(f445,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f1990,plain,
    spl2_99,
    inference(avatar_split_clause,[],[f188,f1987]) ).

fof(f1987,plain,
    ( spl2_99
  <=> n4 = sum(n20,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_99])]) ).

fof(f188,plain,
    n4 = sum(n20,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f1985,plain,
    spl2_98,
    inference(avatar_split_clause,[],[f1324,f1982]) ).

fof(f1982,plain,
    ( spl2_98
  <=> n13 = sum(n28,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_98])]) ).

fof(f1324,plain,
    n13 = sum(n28,n16),
    inference(cnf_transformation,[],[f4]) ).

fof(f1980,plain,
    spl2_97,
    inference(avatar_split_clause,[],[f534,f1977]) ).

fof(f1977,plain,
    ( spl2_97
  <=> n19 = sum(n4,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_97])]) ).

fof(f534,plain,
    n19 = sum(n4,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f1975,plain,
    spl2_96,
    inference(avatar_split_clause,[],[f844,f1972]) ).

fof(f1972,plain,
    ( spl2_96
  <=> n16 = sum(n24,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_96])]) ).

fof(f844,plain,
    n16 = sum(n24,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f1970,plain,
    spl2_95,
    inference(avatar_split_clause,[],[f1416,f1967]) ).

fof(f1967,plain,
    ( spl2_95
  <=> n7 = sum(n10,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_95])]) ).

fof(f1416,plain,
    n7 = sum(n10,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f1965,plain,
    spl2_94,
    inference(avatar_split_clause,[],[f1242,f1962]) ).

fof(f1962,plain,
    ( spl2_94
  <=> n16 = sum(n28,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_94])]) ).

fof(f1242,plain,
    n16 = sum(n28,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f1960,plain,
    spl2_93,
    inference(avatar_split_clause,[],[f357,f1957]) ).

fof(f1957,plain,
    ( spl2_93
  <=> n24 = sum(n7,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_93])]) ).

fof(f357,plain,
    n24 = sum(n7,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f1955,plain,
    spl2_92,
    inference(avatar_split_clause,[],[f510,f1952]) ).

fof(f1952,plain,
    ( spl2_92
  <=> n27 = sum(n9,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_92])]) ).

fof(f510,plain,
    n27 = sum(n9,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f1950,plain,
    spl2_91,
    inference(avatar_split_clause,[],[f479,f1947]) ).

fof(f1947,plain,
    ( spl2_91
  <=> n9 = sum(n29,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_91])]) ).

fof(f479,plain,
    n9 = sum(n29,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f1945,plain,
    spl2_90,
    inference(avatar_split_clause,[],[f1301,f1942]) ).

fof(f1942,plain,
    ( spl2_90
  <=> n22 = sum(n3,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_90])]) ).

fof(f1301,plain,
    n22 = sum(n3,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f1940,plain,
    ~ spl2_89,
    inference(avatar_split_clause,[],[f1198,f1937]) ).

fof(f1937,plain,
    ( spl2_89
  <=> n2 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_89])]) ).

fof(f1198,plain,
    n2 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f1935,plain,
    spl2_88,
    inference(avatar_split_clause,[],[f397,f1932]) ).

fof(f1932,plain,
    ( spl2_88
  <=> n11 = sum(n24,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_88])]) ).

fof(f397,plain,
    n11 = sum(n24,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f1930,plain,
    spl2_87,
    inference(avatar_split_clause,[],[f723,f1927]) ).

fof(f1927,plain,
    ( spl2_87
  <=> n19 = sum(n8,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_87])]) ).

fof(f723,plain,
    n19 = sum(n8,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f1925,plain,
    ~ spl2_86,
    inference(avatar_split_clause,[],[f391,f1922]) ).

fof(f1922,plain,
    ( spl2_86
  <=> n6 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_86])]) ).

fof(f391,plain,
    n6 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f1920,plain,
    ~ spl2_85,
    inference(avatar_split_clause,[],[f817,f1917]) ).

fof(f1917,plain,
    ( spl2_85
  <=> n0 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_85])]) ).

fof(f817,plain,
    n0 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f1915,plain,
    ~ spl2_84,
    inference(avatar_split_clause,[],[f996,f1912]) ).

fof(f1912,plain,
    ( spl2_84
  <=> n9 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_84])]) ).

fof(f996,plain,
    n9 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f1910,plain,
    spl2_83,
    inference(avatar_split_clause,[],[f781,f1907]) ).

fof(f1907,plain,
    ( spl2_83
  <=> n20 = sum(n22,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_83])]) ).

fof(f781,plain,
    n20 = sum(n22,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f1905,plain,
    ~ spl2_82,
    inference(avatar_split_clause,[],[f298,f1902]) ).

fof(f1902,plain,
    ( spl2_82
  <=> n7 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_82])]) ).

fof(f298,plain,
    n7 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f1900,plain,
    spl2_81,
    inference(avatar_split_clause,[],[f42,f1897]) ).

fof(f1897,plain,
    ( spl2_81
  <=> n19 = sum(n29,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).

fof(f42,plain,
    n19 = sum(n29,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f1895,plain,
    spl2_80,
    inference(avatar_split_clause,[],[f1109,f1892]) ).

fof(f1892,plain,
    ( spl2_80
  <=> n5 = sum(n8,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_80])]) ).

fof(f1109,plain,
    n5 = sum(n8,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f1890,plain,
    ~ spl2_79,
    inference(avatar_split_clause,[],[f1102,f1887]) ).

fof(f1887,plain,
    ( spl2_79
  <=> n17 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_79])]) ).

fof(f1102,plain,
    n17 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f1885,plain,
    spl2_78,
    inference(avatar_split_clause,[],[f557,f1882]) ).

fof(f1882,plain,
    ( spl2_78
  <=> n27 = sum(n22,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_78])]) ).

fof(f557,plain,
    n27 = sum(n22,n5),
    inference(cnf_transformation,[],[f4]) ).

fof(f1880,plain,
    ~ spl2_77,
    inference(avatar_split_clause,[],[f40,f1877]) ).

fof(f1877,plain,
    ( spl2_77
  <=> n22 = n28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_77])]) ).

fof(f40,plain,
    n22 != n28,
    inference(cnf_transformation,[],[f4]) ).

fof(f1875,plain,
    spl2_76,
    inference(avatar_split_clause,[],[f1144,f1872]) ).

fof(f1872,plain,
    ( spl2_76
  <=> n16 = pred(n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_76])]) ).

fof(f1144,plain,
    n16 = pred(n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f1870,plain,
    ~ spl2_75,
    inference(avatar_split_clause,[],[f1317,f1867]) ).

fof(f1867,plain,
    ( spl2_75
  <=> n23 = n30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_75])]) ).

fof(f1317,plain,
    n23 != n30,
    inference(cnf_transformation,[],[f4]) ).

fof(f1865,plain,
    spl2_74,
    inference(avatar_split_clause,[],[f1379,f1862]) ).

fof(f1862,plain,
    ( spl2_74
  <=> n15 = sum(n1,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_74])]) ).

fof(f1379,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f1860,plain,
    spl2_73,
    inference(avatar_split_clause,[],[f964,f1857]) ).

fof(f1857,plain,
    ( spl2_73
  <=> n10 = sum(n13,n28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_73])]) ).

fof(f964,plain,
    n10 = sum(n13,n28),
    inference(cnf_transformation,[],[f4]) ).

fof(f1855,plain,
    ~ spl2_72,
    inference(avatar_split_clause,[],[f678,f1852]) ).

fof(f1852,plain,
    ( spl2_72
  <=> n4 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_72])]) ).

fof(f678,plain,
    n4 != n18,
    inference(cnf_transformation,[],[f4]) ).

fof(f1850,plain,
    spl2_71,
    inference(avatar_split_clause,[],[f328,f1847]) ).

fof(f1847,plain,
    ( spl2_71
  <=> n17 = sum(n29,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_71])]) ).

fof(f328,plain,
    n17 = sum(n29,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f1845,plain,
    ~ spl2_70,
    inference(avatar_split_clause,[],[f468,f1842]) ).

fof(f1842,plain,
    ( spl2_70
  <=> n6 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_70])]) ).

fof(f468,plain,
    n6 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f1840,plain,
    spl2_69,
    inference(avatar_split_clause,[],[f1485,f1837]) ).

fof(f1837,plain,
    ( spl2_69
  <=> n22 = sum(n24,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).

fof(f1485,plain,
    n22 = sum(n24,n29),
    inference(cnf_transformation,[],[f4]) ).

fof(f1835,plain,
    spl2_68,
    inference(avatar_split_clause,[],[f51,f1832]) ).

fof(f1832,plain,
    ( spl2_68
  <=> n18 = sum(n23,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_68])]) ).

fof(f51,plain,
    n18 = sum(n23,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f1830,plain,
    spl2_67,
    inference(avatar_split_clause,[],[f735,f1827]) ).

fof(f1827,plain,
    ( spl2_67
  <=> n11 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_67])]) ).

fof(f735,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1825,plain,
    spl2_66,
    inference(avatar_split_clause,[],[f1424,f1822]) ).

fof(f1822,plain,
    ( spl2_66
  <=> n5 = sum(n6,n30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_66])]) ).

fof(f1424,plain,
    n5 = sum(n6,n30),
    inference(cnf_transformation,[],[f4]) ).

fof(f1820,plain,
    spl2_65,
    inference(avatar_split_clause,[],[f1469,f1817]) ).

fof(f1817,plain,
    ( spl2_65
  <=> n9 = sum(n13,n27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_65])]) ).

fof(f1469,plain,
    n9 = sum(n13,n27),
    inference(cnf_transformation,[],[f4]) ).

fof(f1815,plain,
    spl2_64,
    inference(avatar_split_clause,[],[f1169,f1812]) ).

fof(f1812,plain,
    ( spl2_64
  <=> n16 = sum(n29,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_64])]) ).

fof(f1169,plain,
    n16 = sum(n29,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f1810,plain,
    ~ spl2_63,
    inference(avatar_split_clause,[],[f1266,f1807]) ).

fof(f1807,plain,
    ( spl2_63
  <=> n16 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_63])]) ).

fof(f1266,plain,
    n16 != n19,
    inference(cnf_transformation,[],[f4]) ).

fof(f1805,plain,
    spl2_62,
    inference(avatar_split_clause,[],[f1134,f1802]) ).

fof(f1802,plain,
    ( spl2_62
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_62])]) ).

fof(f1134,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f4]) ).

fof(f1800,plain,
    spl2_61,
    inference(avatar_split_clause,[],[f808,f1797]) ).

fof(f1797,plain,
    ( spl2_61
  <=> n15 = sum(n26,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_61])]) ).

fof(f808,plain,
    n15 = sum(n26,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f1795,plain,
    spl2_60,
    inference(avatar_split_clause,[],[f668,f1792]) ).

fof(f1792,plain,
    ( spl2_60
  <=> n11 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_60])]) ).

fof(f668,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f1790,plain,
    ~ spl2_59,
    inference(avatar_split_clause,[],[f428,f1787]) ).

fof(f1787,plain,
    ( spl2_59
  <=> n16 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).

fof(f428,plain,
    n16 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f1785,plain,
    ~ spl2_58,
    inference(avatar_split_clause,[],[f1156,f1782]) ).

fof(f1782,plain,
    ( spl2_58
  <=> n2 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).

fof(f1156,plain,
    n2 != n7,
    inference(cnf_transformation,[],[f4]) ).

fof(f1780,plain,
    spl2_57,
    inference(avatar_split_clause,[],[f612,f1777]) ).

fof(f1777,plain,
    ( spl2_57
  <=> n29 = sum(n15,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).

fof(f612,plain,
    n29 = sum(n15,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f1775,plain,
    spl2_56,
    inference(avatar_split_clause,[],[f1066,f1772]) ).

fof(f1772,plain,
    ( spl2_56
  <=> n20 = sum(n3,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).

fof(f1066,plain,
    n20 = sum(n3,n17),
    inference(cnf_transformation,[],[f4]) ).

fof(f1770,plain,
    ~ spl2_55,
    inference(avatar_split_clause,[],[f1185,f1767]) ).

fof(f1767,plain,
    ( spl2_55
  <=> n4 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_55])]) ).

fof(f1185,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f4]) ).

fof(f1765,plain,
    spl2_54,
    inference(avatar_split_clause,[],[f481,f1762]) ).

fof(f1762,plain,
    ( spl2_54
  <=> n18 = sum(n18,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).

fof(f481,plain,
    n18 = sum(n18,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1760,plain,
    spl2_53,
    inference(avatar_split_clause,[],[f1346,f1757]) ).

fof(f1757,plain,
    ( spl2_53
  <=> n21 = sum(n2,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).

fof(f1346,plain,
    n21 = sum(n2,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f1755,plain,
    spl2_52,
    inference(avatar_split_clause,[],[f1460,f1752]) ).

fof(f1752,plain,
    ( spl2_52
  <=> n26 = sum(n15,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).

fof(f1460,plain,
    n26 = sum(n15,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f1750,plain,
    spl2_51,
    inference(avatar_split_clause,[],[f653,f1747]) ).

fof(f1747,plain,
    ( spl2_51
  <=> n16 = sum(n26,n21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).

fof(f653,plain,
    n16 = sum(n26,n21),
    inference(cnf_transformation,[],[f4]) ).

fof(f1745,plain,
    spl2_50,
    inference(avatar_split_clause,[],[f1019,f1742]) ).

fof(f1742,plain,
    ( spl2_50
  <=> n30 = sum(n7,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).

fof(f1019,plain,
    n30 = sum(n7,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f1740,plain,
    spl2_49,
    inference(avatar_split_clause,[],[f784,f1737]) ).

fof(f1737,plain,
    ( spl2_49
  <=> n3 = sum(n19,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).

fof(f784,plain,
    n3 = sum(n19,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f1735,plain,
    spl2_48,
    inference(avatar_split_clause,[],[f433,f1732]) ).

fof(f1732,plain,
    ( spl2_48
  <=> n20 = sum(n6,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).

fof(f433,plain,
    n20 = sum(n6,n14),
    inference(cnf_transformation,[],[f4]) ).

fof(f1730,plain,
    spl2_47,
    inference(avatar_split_clause,[],[f396,f1727]) ).

fof(f1727,plain,
    ( spl2_47
  <=> n16 = sum(n16,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).

fof(f396,plain,
    n16 = sum(n16,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1725,plain,
    ~ spl2_46,
    inference(avatar_split_clause,[],[f475,f1722]) ).

fof(f1722,plain,
    ( spl2_46
  <=> n18 = n27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).

fof(f475,plain,
    n18 != n27,
    inference(cnf_transformation,[],[f4]) ).

fof(f1720,plain,
    spl2_45,
    inference(avatar_split_clause,[],[f837,f1717]) ).

fof(f1717,plain,
    ( spl2_45
  <=> succ(n11) = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).

fof(f837,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f1715,plain,
    spl2_44,
    inference(avatar_split_clause,[],[f242,f1712]) ).

fof(f1712,plain,
    ( spl2_44
  <=> n19 = sum(n24,n26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).

fof(f242,plain,
    n19 = sum(n24,n26),
    inference(cnf_transformation,[],[f4]) ).

fof(f1710,plain,
    spl2_43,
    inference(avatar_split_clause,[],[f1419,f1707]) ).

fof(f1707,plain,
    ( spl2_43
  <=> n24 = pred(n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f1419,plain,
    n24 = pred(n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f1705,plain,
    ~ spl2_42,
    inference(avatar_split_clause,[],[f1098,f1702]) ).

fof(f1702,plain,
    ( spl2_42
  <=> n5 = n23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).

fof(f1098,plain,
    n5 != n23,
    inference(cnf_transformation,[],[f4]) ).

fof(f1700,plain,
    spl2_41,
    inference(avatar_split_clause,[],[f836,f1697]) ).

fof(f1697,plain,
    ( spl2_41
  <=> n7 = sum(n27,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f836,plain,
    n7 = sum(n27,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f1695,plain,
    ~ spl2_40,
    inference(avatar_split_clause,[],[f1177,f1692]) ).

fof(f1692,plain,
    ( spl2_40
  <=> n3 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f1177,plain,
    n3 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f1690,plain,
    ~ spl2_39,
    inference(avatar_split_clause,[],[f637,f1687]) ).

fof(f1687,plain,
    ( spl2_39
  <=> n0 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).

fof(f637,plain,
    n0 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f1685,plain,
    spl2_38,
    inference(avatar_split_clause,[],[f279,f1682]) ).

fof(f1682,plain,
    ( spl2_38
  <=> n1 = sum(n9,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).

fof(f279,plain,
    n1 = sum(n9,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f1680,plain,
    spl2_37,
    inference(avatar_split_clause,[],[f903,f1677]) ).

fof(f1677,plain,
    ( spl2_37
  <=> n23 = sum(n11,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f903,plain,
    n23 = sum(n11,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f1675,plain,
    ~ spl2_36,
    inference(avatar_split_clause,[],[f1281,f1672]) ).

fof(f1672,plain,
    ( spl2_36
  <=> n20 = n26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f1281,plain,
    n20 != n26,
    inference(cnf_transformation,[],[f4]) ).

fof(f1670,plain,
    spl2_35,
    inference(avatar_split_clause,[],[f750,f1667]) ).

fof(f1667,plain,
    ( spl2_35
  <=> n30 = sum(n12,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).

fof(f750,plain,
    n30 = sum(n12,n18),
    inference(cnf_transformation,[],[f4]) ).

fof(f1665,plain,
    spl2_34,
    inference(avatar_split_clause,[],[f169,f1662]) ).

fof(f1662,plain,
    ( spl2_34
  <=> n10 = sum(n29,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).

fof(f169,plain,
    n10 = sum(n29,n12),
    inference(cnf_transformation,[],[f4]) ).

fof(f1660,plain,
    spl2_33,
    inference(avatar_split_clause,[],[f67,f1657]) ).

fof(f1657,plain,
    ( spl2_33
  <=> n17 = sum(n17,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f67,plain,
    n17 = sum(n17,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1655,plain,
    spl2_32,
    inference(avatar_split_clause,[],[f57,f1652]) ).

fof(f1652,plain,
    ( spl2_32
  <=> n20 = sum(n9,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f57,plain,
    n20 = sum(n9,n11),
    inference(cnf_transformation,[],[f4]) ).

fof(f1650,plain,
    spl2_31,
    inference(avatar_split_clause,[],[f838,f1647]) ).

fof(f1647,plain,
    ( spl2_31
  <=> n25 = sum(n6,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f838,plain,
    n25 = sum(n6,n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f1645,plain,
    ~ spl2_30,
    inference(avatar_split_clause,[],[f1137,f1642]) ).

fof(f1642,plain,
    ( spl2_30
  <=> n11 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).

fof(f1137,plain,
    n11 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f1640,plain,
    ~ spl2_29,
    inference(avatar_split_clause,[],[f797,f1637]) ).

fof(f1637,plain,
    ( spl2_29
  <=> n3 = n22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f797,plain,
    n3 != n22,
    inference(cnf_transformation,[],[f4]) ).

fof(f1635,plain,
    ~ spl2_28,
    inference(avatar_split_clause,[],[f154,f1632]) ).

fof(f1632,plain,
    ( spl2_28
  <=> n7 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).

fof(f154,plain,
    n7 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f1630,plain,
    ~ spl2_27,
    inference(avatar_split_clause,[],[f171,f1627]) ).

fof(f1627,plain,
    ( spl2_27
  <=> n7 = n25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).

fof(f171,plain,
    n7 != n25,
    inference(cnf_transformation,[],[f4]) ).

fof(f1625,plain,
    ~ spl2_26,
    inference(avatar_split_clause,[],[f948,f1622]) ).

fof(f1622,plain,
    ( spl2_26
  <=> n15 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f948,plain,
    n15 != n17,
    inference(cnf_transformation,[],[f4]) ).

fof(f1620,plain,
    ~ spl2_25,
    inference(avatar_split_clause,[],[f346,f1617]) ).

fof(f1617,plain,
    ( spl2_25
  <=> n0 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).

fof(f346,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f4]) ).

fof(f1615,plain,
    spl2_24,
    inference(avatar_split_clause,[],[f119,f1612]) ).

fof(f1612,plain,
    ( spl2_24
  <=> n13 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f119,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1610,plain,
    spl2_23,
    inference(avatar_split_clause,[],[f852,f1607]) ).

fof(f1607,plain,
    ( spl2_23
  <=> n17 = sum(n13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f852,plain,
    n17 = sum(n13,n4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1605,plain,
    ~ spl2_22,
    inference(avatar_split_clause,[],[f934,f1602]) ).

fof(f1602,plain,
    ( spl2_22
  <=> n0 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f934,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f4]) ).

fof(f1600,plain,
    spl2_21,
    inference(avatar_split_clause,[],[f213,f1597]) ).

fof(f1597,plain,
    ( spl2_21
  <=> n21 = sum(n21,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f213,plain,
    n21 = sum(n21,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1595,plain,
    ~ spl2_20,
    inference(avatar_split_clause,[],[f79,f1592]) ).

fof(f1592,plain,
    ( spl2_20
  <=> n20 = n21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f79,plain,
    n20 != n21,
    inference(cnf_transformation,[],[f4]) ).

fof(f1590,plain,
    spl2_19,
    inference(avatar_split_clause,[],[f942,f1587]) ).

fof(f1587,plain,
    ( spl2_19
  <=> n12 = sum(n20,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f942,plain,
    n12 = sum(n20,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f1585,plain,
    spl2_18,
    inference(avatar_split_clause,[],[f1216,f1582]) ).

fof(f1582,plain,
    ( spl2_18
  <=> n0 = sum(n23,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f1216,plain,
    n0 = sum(n23,n8),
    inference(cnf_transformation,[],[f4]) ).

fof(f1580,plain,
    spl2_17,
    inference(avatar_split_clause,[],[f1370,f1577]) ).

fof(f1577,plain,
    ( spl2_17
  <=> n18 = sum(n3,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f1370,plain,
    n18 = sum(n3,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f1575,plain,
    spl2_16,
    inference(avatar_split_clause,[],[f187,f1572]) ).

fof(f1572,plain,
    ( spl2_16
  <=> n29 = sum(n29,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f187,plain,
    n29 = sum(n29,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1570,plain,
    spl2_15,
    inference(avatar_split_clause,[],[f421,f1567]) ).

fof(f1567,plain,
    ( spl2_15
  <=> n7 = sum(n15,n23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f421,plain,
    n7 = sum(n15,n23),
    inference(cnf_transformation,[],[f4]) ).

fof(f1565,plain,
    spl2_14,
    inference(avatar_split_clause,[],[f625,f1562]) ).

fof(f1562,plain,
    ( spl2_14
  <=> n3 = sum(n14,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f625,plain,
    n3 = sum(n14,n20),
    inference(cnf_transformation,[],[f4]) ).

fof(f1560,plain,
    ~ spl2_13,
    inference(avatar_split_clause,[],[f1380,f1557]) ).

fof(f1557,plain,
    ( spl2_13
  <=> n13 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f1380,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f4]) ).

fof(f1555,plain,
    ~ spl2_12,
    inference(avatar_split_clause,[],[f589,f1552]) ).

fof(f1552,plain,
    ( spl2_12
  <=> n1 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f589,plain,
    n1 != n8,
    inference(cnf_transformation,[],[f4]) ).

fof(f1550,plain,
    spl2_11,
    inference(avatar_split_clause,[],[f633,f1547]) ).

fof(f1547,plain,
    ( spl2_11
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f633,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1545,plain,
    spl2_10,
    inference(avatar_split_clause,[],[f1100,f1542]) ).

fof(f1542,plain,
    ( spl2_10
  <=> n12 = sum(n28,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f1100,plain,
    n12 = sum(n28,n15),
    inference(cnf_transformation,[],[f4]) ).

fof(f1540,plain,
    spl2_9,
    inference(avatar_split_clause,[],[f1386,f1537]) ).

fof(f1537,plain,
    ( spl2_9
  <=> n7 = sum(n14,n24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f1386,plain,
    n7 = sum(n14,n24),
    inference(cnf_transformation,[],[f4]) ).

fof(f1535,plain,
    ~ spl2_8,
    inference(avatar_split_clause,[],[f871,f1532]) ).

fof(f1532,plain,
    ( spl2_8
  <=> n0 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f871,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1530,plain,
    spl2_7,
    inference(avatar_split_clause,[],[f807,f1527]) ).

fof(f1527,plain,
    ( spl2_7
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f807,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f4]) ).

fof(f1525,plain,
    spl2_6,
    inference(avatar_split_clause,[],[f322,f1522]) ).

fof(f1522,plain,
    ( spl2_6
  <=> n22 = sum(n28,n25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f322,plain,
    n22 = sum(n28,n25),
    inference(cnf_transformation,[],[f4]) ).

fof(f1520,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f543,f1517]) ).

fof(f1517,plain,
    ( spl2_5
  <=> n7 = sum(n28,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f543,plain,
    n7 = sum(n28,n10),
    inference(cnf_transformation,[],[f4]) ).

fof(f1515,plain,
    spl2_4,
    inference(avatar_split_clause,[],[f1234,f1512]) ).

fof(f1512,plain,
    ( spl2_4
  <=> n20 = sum(n20,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f1234,plain,
    n20 = sum(n20,n0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1510,plain,
    spl2_3,
    inference(avatar_split_clause,[],[f1002,f1507]) ).

fof(f1507,plain,
    ( spl2_3
  <=> n15 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f1002,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f4]) ).

fof(f1505,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f1214,f1502]) ).

fof(f1502,plain,
    ( spl2_2
  <=> n18 = pred(n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f1214,plain,
    n18 = pred(n19),
    inference(cnf_transformation,[],[f4]) ).

fof(f1500,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f458,f1497]) ).

fof(f1497,plain,
    ( spl2_1
  <=> n4 = sum(n6,n29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f458,plain,
    n4 = sum(n6,n29),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM376+1.030 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 06:41:05 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.55  % (6114)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55  % (6107)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56  % (6098)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57  % (6093)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.58  % (6098)Instruction limit reached!
% 0.19/0.58  % (6098)------------------------------
% 0.19/0.58  % (6098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (6098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (6098)Termination reason: Unknown
% 0.19/0.58  % (6098)Termination phase: Preprocessing 3
% 0.19/0.58  
% 0.19/0.58  % (6098)Memory used [KB]: 1791
% 0.19/0.58  % (6098)Time elapsed: 0.011 s
% 0.19/0.58  % (6098)Instructions burned: 8 (million)
% 0.19/0.58  % (6098)------------------------------
% 0.19/0.58  % (6098)------------------------------
% 0.19/0.58  % (6104)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.59  % (6101)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.59  % (6091)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.60  % (6096)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.60  % (6109)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.60  % (6102)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.60  % (6097)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.61  % (6103)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.50/0.61  % (6120)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.50/0.61  % (6113)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.50/0.61  % (6106)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.50/0.62  % (6112)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.62  % (6105)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.50/0.62  % (6099)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.50/0.62  % (6099)Instruction limit reached!
% 1.50/0.62  % (6099)------------------------------
% 1.50/0.62  % (6099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62  % (6099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62  % (6099)Termination reason: Unknown
% 1.50/0.62  % (6099)Termination phase: Preprocessing 1
% 1.50/0.62  
% 1.50/0.62  % (6099)Memory used [KB]: 1407
% 1.50/0.62  % (6099)Time elapsed: 0.004 s
% 1.50/0.62  % (6099)Instructions burned: 2 (million)
% 1.50/0.62  % (6099)------------------------------
% 1.50/0.62  % (6099)------------------------------
% 1.50/0.63  % (6095)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.05/0.63  % (6115)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.05/0.63  % (6117)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.05/0.63  % (6094)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.05/0.64  % (6092)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.05/0.64  % (6118)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.05/0.64  % (6119)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.05/0.64  % (6108)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.05/0.64  % (6093)Instruction limit reached!
% 2.05/0.64  % (6093)------------------------------
% 2.05/0.64  % (6093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64  % (6093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64  % (6093)Termination reason: Unknown
% 2.05/0.64  % (6093)Termination phase: Saturation
% 2.05/0.64  
% 2.05/0.64  % (6093)Memory used [KB]: 2302
% 2.05/0.64  % (6093)Time elapsed: 0.028 s
% 2.05/0.64  % (6093)Instructions burned: 37 (million)
% 2.05/0.64  % (6093)------------------------------
% 2.05/0.64  % (6093)------------------------------
% 2.05/0.65  % (6111)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.05/0.65  % (6110)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.05/0.65  % (6116)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.05/0.66  % (6100)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.05/0.69  % (6101)Instruction limit reached!
% 2.05/0.69  % (6101)------------------------------
% 2.05/0.69  % (6101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.69  % (6101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.69  % (6101)Termination reason: Unknown
% 2.05/0.69  % (6101)Termination phase: Saturation
% 2.05/0.69  
% 2.05/0.69  % (6101)Memory used [KB]: 7419
% 2.05/0.69  % (6101)Time elapsed: 0.056 s
% 2.05/0.69  % (6101)Instructions burned: 50 (million)
% 2.05/0.69  % (6101)------------------------------
% 2.05/0.69  % (6101)------------------------------
% 2.58/0.71  % (6096)Instruction limit reached!
% 2.58/0.71  % (6096)------------------------------
% 2.58/0.71  % (6096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.71  % (6096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.71  % (6096)Termination reason: Unknown
% 2.58/0.71  % (6096)Termination phase: Saturation
% 2.58/0.71  
% 2.58/0.71  % (6096)Memory used [KB]: 7164
% 2.58/0.71  % (6096)Time elapsed: 0.286 s
% 2.58/0.71  % (6096)Instructions burned: 48 (million)
% 2.58/0.71  % (6096)------------------------------
% 2.58/0.71  % (6096)------------------------------
% 2.58/0.71  % (6097)Instruction limit reached!
% 2.58/0.71  % (6097)------------------------------
% 2.58/0.71  % (6097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.71  % (6097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.71  % (6097)Termination reason: Unknown
% 2.58/0.71  % (6097)Termination phase: Finite model building preprocessing
% 2.58/0.71  
% 2.58/0.71  % (6097)Memory used [KB]: 3582
% 2.58/0.71  % (6097)Time elapsed: 0.036 s
% 2.58/0.71  % (6097)Instructions burned: 52 (million)
% 2.58/0.71  % (6097)------------------------------
% 2.58/0.71  % (6097)------------------------------
% 2.58/0.75  % (6094)Instruction limit reached!
% 2.58/0.75  % (6094)------------------------------
% 2.58/0.75  % (6094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.75  % (6094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.75  % (6094)Termination reason: Unknown
% 2.58/0.75  % (6094)Termination phase: Saturation
% 2.58/0.75  
% 2.58/0.75  % (6094)Memory used [KB]: 7291
% 2.58/0.75  % (6094)Time elapsed: 0.309 s
% 2.58/0.75  % (6094)Instructions burned: 51 (million)
% 2.58/0.75  % (6094)------------------------------
% 2.58/0.75  % (6094)------------------------------
% 2.58/0.76  % (6107)Instruction limit reached!
% 2.58/0.76  % (6107)------------------------------
% 2.58/0.76  % (6107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.76  % (6107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.76  % (6107)Termination reason: Unknown
% 2.58/0.76  % (6107)Termination phase: Saturation
% 2.58/0.76  
% 2.58/0.76  % (6107)Memory used [KB]: 8187
% 2.58/0.76  % (6107)Time elapsed: 0.274 s
% 2.58/0.76  % (6107)Instructions burned: 99 (million)
% 2.58/0.76  % (6107)------------------------------
% 2.58/0.76  % (6107)------------------------------
% 2.58/0.76  % (6095)Instruction limit reached!
% 2.58/0.76  % (6095)------------------------------
% 2.58/0.76  % (6095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.76  % (6095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.76  % (6095)Termination reason: Unknown
% 2.58/0.76  % (6095)Termination phase: Saturation
% 2.58/0.76  
% 2.58/0.76  % (6095)Memory used [KB]: 7164
% 2.58/0.76  % (6095)Time elapsed: 0.040 s
% 2.58/0.76  % (6095)Instructions burned: 51 (million)
% 2.58/0.76  % (6095)------------------------------
% 2.58/0.76  % (6095)------------------------------
% 3.08/0.78  % (6092)Instruction limit reached!
% 3.08/0.78  % (6092)------------------------------
% 3.08/0.78  % (6092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.78  % (6092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.78  % (6092)Termination reason: Unknown
% 3.08/0.78  % (6092)Termination phase: Saturation
% 3.08/0.78  
% 3.08/0.78  % (6092)Memory used [KB]: 7164
% 3.08/0.78  % (6092)Time elapsed: 0.041 s
% 3.08/0.78  % (6092)Instructions burned: 50 (million)
% 3.08/0.78  % (6092)------------------------------
% 3.08/0.78  % (6092)------------------------------
% 3.08/0.78  % (6108)Instruction limit reached!
% 3.08/0.78  % (6108)------------------------------
% 3.08/0.78  % (6108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.78  % (6108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.78  % (6108)Termination reason: Unknown
% 3.08/0.78  % (6108)Termination phase: Finite model building preprocessing
% 3.08/0.78  
% 3.08/0.78  % (6108)Memory used [KB]: 3837
% 3.08/0.78  % (6108)Time elapsed: 0.043 s
% 3.08/0.78  % (6108)Instructions burned: 60 (million)
% 3.08/0.78  % (6108)------------------------------
% 3.08/0.78  % (6108)------------------------------
% 3.08/0.79  % (6100)Instruction limit reached!
% 3.08/0.79  % (6100)------------------------------
% 3.08/0.79  % (6100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.79  % (6100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.79  % (6100)Termination reason: Unknown
% 3.08/0.79  % (6100)Termination phase: Saturation
% 3.08/0.79  
% 3.08/0.79  % (6100)Memory used [KB]: 2686
% 3.08/0.79  % (6100)Time elapsed: 0.039 s
% 3.08/0.79  % (6100)Instructions burned: 51 (million)
% 3.08/0.79  % (6100)------------------------------
% 3.08/0.79  % (6100)------------------------------
% 3.08/0.79  % (6109)Instruction limit reached!
% 3.08/0.79  % (6109)------------------------------
% 3.08/0.79  % (6109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.79  % (6109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.79  % (6109)Termination reason: Unknown
% 3.08/0.79  % (6109)Termination phase: Saturation
% 3.08/0.79  
% 3.08/0.79  % (6109)Memory used [KB]: 7803
% 3.08/0.79  % (6109)Time elapsed: 0.128 s
% 3.08/0.79  % (6109)Instructions burned: 100 (million)
% 3.08/0.79  % (6109)------------------------------
% 3.08/0.79  % (6109)------------------------------
% 3.08/0.80  % (6117)Instruction limit reached!
% 3.08/0.80  % (6117)------------------------------
% 3.08/0.80  % (6117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.80  % (6117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.80  % (6117)Termination reason: Unknown
% 3.08/0.80  % (6117)Termination phase: Saturation
% 3.08/0.80  
% 3.08/0.80  % (6117)Memory used [KB]: 9083
% 3.08/0.80  % (6117)Time elapsed: 0.052 s
% 3.08/0.80  % (6117)Instructions burned: 68 (million)
% 3.08/0.80  % (6117)------------------------------
% 3.08/0.80  % (6117)------------------------------
% 3.08/0.80  % (6154)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.08/0.81  % (6105)Instruction limit reached!
% 3.08/0.81  % (6105)------------------------------
% 3.08/0.81  % (6105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.81  % (6105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.81  % (6105)Termination reason: Unknown
% 3.08/0.81  % (6105)Termination phase: Saturation
% 3.08/0.81  
% 3.08/0.81  % (6105)Memory used [KB]: 9083
% 3.08/0.81  % (6105)Time elapsed: 0.054 s
% 3.08/0.81  % (6105)Instructions burned: 69 (million)
% 3.08/0.81  % (6105)------------------------------
% 3.08/0.81  % (6105)------------------------------
% 3.08/0.82  % (6106)Instruction limit reached!
% 3.08/0.82  % (6106)------------------------------
% 3.08/0.82  % (6106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.82  % (6106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.82  % (6106)Termination reason: Unknown
% 3.08/0.82  % (6106)Termination phase: Saturation
% 3.08/0.82  
% 3.08/0.82  % (6106)Memory used [KB]: 3070
% 3.08/0.82  % (6106)Time elapsed: 0.376 s
% 3.08/0.82  % (6106)Instructions burned: 75 (million)
% 3.08/0.82  % (6106)------------------------------
% 3.08/0.82  % (6106)------------------------------
% 3.08/0.84  % (6156)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.08/0.85  % (6104)Instruction limit reached!
% 3.08/0.85  % (6104)------------------------------
% 3.08/0.85  % (6104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.85  % (6104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.85  % (6104)Termination reason: Unknown
% 3.08/0.85  % (6104)Termination phase: Saturation
% 3.08/0.85  
% 3.08/0.85  % (6104)Memory used [KB]: 7931
% 3.08/0.85  % (6104)Time elapsed: 0.424 s
% 3.08/0.85  % (6104)Instructions burned: 100 (million)
% 3.08/0.85  % (6104)------------------------------
% 3.08/0.85  % (6104)------------------------------
% 3.08/0.86  % (6155)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.54/0.87  % (6102)Instruction limit reached!
% 3.54/0.87  % (6102)------------------------------
% 3.54/0.87  % (6102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.87  % (6102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.87  % (6102)Termination reason: Unknown
% 3.54/0.87  % (6102)Termination phase: Saturation
% 3.54/0.87  
% 3.54/0.87  % (6102)Memory used [KB]: 8187
% 3.54/0.87  % (6102)Time elapsed: 0.438 s
% 3.54/0.87  % (6102)Instructions burned: 100 (million)
% 3.54/0.87  % (6102)------------------------------
% 3.54/0.87  % (6102)------------------------------
% 3.54/0.88  % (6103)Instruction limit reached!
% 3.54/0.88  % (6103)------------------------------
% 3.54/0.88  % (6103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.88  % (6103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.88  % (6103)Termination reason: Unknown
% 3.54/0.88  % (6103)Termination phase: Saturation
% 3.54/0.88  
% 3.54/0.88  % (6103)Memory used [KB]: 8059
% 3.54/0.88  % (6103)Time elapsed: 0.446 s
% 3.54/0.88  % (6103)Instructions burned: 101 (million)
% 3.54/0.88  % (6103)------------------------------
% 3.54/0.88  % (6103)------------------------------
% 3.54/0.88  % (6159)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.65/0.89  % (6110)Instruction limit reached!
% 3.65/0.89  % (6110)------------------------------
% 3.65/0.89  % (6110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.89  % (6110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.89  % (6110)Termination reason: Unknown
% 3.65/0.89  % (6110)Termination phase: Saturation
% 3.65/0.89  
% 3.65/0.89  % (6110)Memory used [KB]: 3070
% 3.65/0.89  % (6110)Time elapsed: 0.439 s
% 3.65/0.89  % (6110)Instructions burned: 101 (million)
% 3.65/0.89  % (6110)------------------------------
% 3.65/0.89  % (6110)------------------------------
% 3.65/0.92  % (6161)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.74/0.96  % (6160)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.74/0.97  % (6164)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/940Mi)
% 3.74/0.98  % (6168)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.74/0.98  % (6163)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.74/0.99  % (6162)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.74/1.00  % (6112)Instruction limit reached!
% 3.74/1.00  % (6112)------------------------------
% 3.74/1.00  % (6112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.74/1.00  % (6112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.74/1.00  % (6112)Termination reason: Unknown
% 3.74/1.00  % (6112)Termination phase: Saturation
% 3.74/1.00  
% 3.74/1.00  % (6112)Memory used [KB]: 7931
% 3.74/1.00  % (6112)Time elapsed: 0.108 s
% 3.74/1.00  % (6112)Instructions burned: 139 (million)
% 3.74/1.00  % (6112)------------------------------
% 3.74/1.00  % (6112)------------------------------
% 3.94/1.01  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.94/1.01  % (6165)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/981Mi)
% 3.94/1.02  % (6166)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.94/1.02  % (6156)Instruction limit reached!
% 3.94/1.02  % (6156)------------------------------
% 3.94/1.02  % (6156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.94/1.02  % (6156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.94/1.02  % (6156)Termination reason: Unknown
% 3.94/1.02  % (6156)Termination phase: Saturation
% 3.94/1.02  
% 3.94/1.02  % (6156)Memory used [KB]: 7931
% 3.94/1.02  % (6156)Time elapsed: 0.263 s
% 3.94/1.02  % (6156)Instructions burned: 90 (million)
% 3.94/1.02  % (6156)------------------------------
% 3.94/1.02  % (6156)------------------------------
% 3.94/1.03  % (6118)Instruction limit reached!
% 3.94/1.03  % (6118)------------------------------
% 3.94/1.03  % (6118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.94/1.03  % (6118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.94/1.03  % (6118)Termination reason: Unknown
% 3.94/1.03  % (6118)Termination phase: Saturation
% 3.94/1.03  
% 3.94/1.03  % (6118)Memory used [KB]: 3582
% 3.94/1.03  % (6118)Time elapsed: 0.548 s
% 3.94/1.03  % (6118)Instructions burned: 179 (million)
% 3.94/1.03  % (6118)------------------------------
% 3.94/1.03  % (6118)------------------------------
% 3.94/1.03  % (6167)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.94/1.03  % (6171)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.94/1.03  % (6111)Instruction limit reached!
% 3.94/1.03  % (6111)------------------------------
% 3.94/1.03  % (6111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.94/1.03  % (6111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.94/1.03  % (6111)Termination reason: Unknown
% 3.94/1.03  % (6111)Termination phase: Saturation
% 3.94/1.03  
% 3.94/1.03  % (6111)Memory used [KB]: 8315
% 3.94/1.03  % (6111)Time elapsed: 0.130 s
% 3.94/1.03  % (6111)Instructions burned: 176 (million)
% 3.94/1.03  % (6111)------------------------------
% 3.94/1.03  % (6111)------------------------------
% 3.94/1.04  % (6174)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.94/1.06  % (6173)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.24/1.13  % (6186)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 4.24/1.14  TRYING [31]
% 4.24/1.14  % (6187)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.24/1.14  % (6180)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 4.24/1.15  % (6163)Instruction limit reached!
% 4.24/1.15  % (6163)------------------------------
% 4.24/1.15  % (6163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.24/1.15  % (6163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.24/1.15  % (6163)Termination reason: Unknown
% 4.24/1.15  % (6163)Termination phase: Saturation
% 4.24/1.15  
% 4.24/1.15  % (6163)Memory used [KB]: 9083
% 4.24/1.15  % (6163)Time elapsed: 0.048 s
% 4.24/1.15  % (6163)Instructions burned: 69 (million)
% 4.24/1.15  % (6163)------------------------------
% 4.24/1.15  % (6163)------------------------------
% 4.24/1.16  % (6183)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 4.45/1.22  % (6197)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 7.14/1.29  % (6166)Instruction limit reached!
% 7.14/1.29  % (6166)------------------------------
% 7.14/1.29  % (6166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.14/1.29  % (6166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.14/1.29  % (6166)Termination reason: Unknown
% 7.14/1.29  % (6166)Termination phase: Saturation
% 7.14/1.29  
% 7.14/1.29  % (6166)Memory used [KB]: 7931
% 7.14/1.29  % (6166)Time elapsed: 0.446 s
% 7.14/1.29  % (6166)Instructions burned: 90 (million)
% 7.14/1.29  % (6166)------------------------------
% 7.14/1.29  % (6166)------------------------------
% 7.14/1.30  % (6194)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 7.39/1.31  % (6195)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 7.39/1.31  % (6196)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 7.39/1.32  % (6183)Instruction limit reached!
% 7.39/1.32  % (6183)------------------------------
% 7.39/1.32  % (6183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.55/1.34  % (6183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.55/1.34  % (6183)Termination reason: Unknown
% 7.55/1.34  % (6183)Termination phase: Saturation
% 7.55/1.34  
% 7.55/1.34  % (6183)Memory used [KB]: 9083
% 7.55/1.34  % (6183)Time elapsed: 0.044 s
% 7.55/1.34  % (6183)Instructions burned: 69 (million)
% 7.55/1.34  % (6183)------------------------------
% 7.55/1.34  % (6183)------------------------------
% 7.55/1.34  % (6155)Instruction limit reached!
% 7.55/1.34  % (6155)------------------------------
% 7.55/1.34  % (6155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.55/1.34  % (6155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.55/1.34  % (6155)Termination reason: Unknown
% 7.55/1.34  % (6155)Termination phase: Saturation
% 7.55/1.34  
% 7.55/1.34  % (6155)Memory used [KB]: 3454
% 7.55/1.34  % (6155)Time elapsed: 0.607 s
% 7.55/1.34  % (6155)Instructions burned: 211 (million)
% 7.55/1.34  % (6155)------------------------------
% 7.55/1.34  % (6155)------------------------------
% 7.55/1.39  % (6203)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/8004Mi)
% 7.55/1.39  % (6204)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9965Mi)
% 8.23/1.45  % (6113)Instruction limit reached!
% 8.23/1.45  % (6113)------------------------------
% 8.23/1.45  % (6113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.23/1.46  % (6196)Instruction limit reached!
% 8.23/1.46  % (6196)------------------------------
% 8.23/1.46  % (6196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.23/1.46  % (6196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.23/1.46  % (6196)Termination reason: Unknown
% 8.23/1.46  % (6196)Termination phase: Saturation
% 8.23/1.46  
% 8.23/1.46  % (6196)Memory used [KB]: 7931
% 8.23/1.46  % (6196)Time elapsed: 0.378 s
% 8.23/1.46  % (6196)Instructions burned: 90 (million)
% 8.23/1.46  % (6196)------------------------------
% 8.23/1.46  % (6196)------------------------------
% 8.23/1.46  % (6113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.23/1.46  % (6113)Termination reason: Unknown
% 8.23/1.46  % (6113)Termination phase: Saturation
% 8.23/1.46  
% 8.23/1.46  % (6113)Memory used [KB]: 4989
% 8.23/1.46  % (6113)Time elapsed: 1.008 s
% 8.23/1.46  % (6113)Instructions burned: 498 (million)
% 8.23/1.46  % (6113)------------------------------
% 8.23/1.46  % (6113)------------------------------
% 8.23/1.47  % (6120)Instruction limit reached!
% 8.23/1.47  % (6120)------------------------------
% 8.23/1.47  % (6120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.23/1.47  % (6120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.23/1.47  % (6120)Termination reason: Unknown
% 8.23/1.47  % (6120)Termination phase: Saturation
% 8.23/1.47  
% 8.23/1.47  % (6120)Memory used [KB]: 9210
% 8.23/1.47  % (6120)Time elapsed: 0.240 s
% 8.23/1.47  % (6120)Instructions burned: 356 (million)
% 8.23/1.47  % (6120)------------------------------
% 8.23/1.47  % (6120)------------------------------
% 8.23/1.47  % (6119)Instruction limit reached!
% 8.23/1.47  % (6119)------------------------------
% 8.23/1.47  % (6119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.23/1.47  % (6119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.23/1.47  % (6119)Termination reason: Unknown
% 8.23/1.47  % (6119)Termination phase: Saturation
% 8.23/1.47  
% 8.23/1.47  % (6119)Memory used [KB]: 9338
% 8.23/1.47  % (6119)Time elapsed: 0.311 s
% 8.23/1.47  % (6119)Instructions burned: 440 (million)
% 8.23/1.47  % (6119)------------------------------
% 8.23/1.47  % (6119)------------------------------
% 8.23/1.48  % (6206)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9902Mi)
% 8.78/1.49  % (6114)Instruction limit reached!
% 8.78/1.49  % (6114)------------------------------
% 8.78/1.49  % (6114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.78/1.49  % (6114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.78/1.49  % (6114)Termination reason: Unknown
% 8.78/1.49  % (6114)Termination phase: Saturation
% 8.78/1.49  
% 8.78/1.49  % (6114)Memory used [KB]: 9466
% 8.78/1.49  % (6114)Time elapsed: 0.339 s
% 8.78/1.49  % (6114)Instructions burned: 468 (million)
% 8.78/1.49  % (6114)------------------------------
% 8.78/1.49  % (6114)------------------------------
% 8.78/1.49  % (6205)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9877Mi)
% 8.78/1.50  % (6115)Instruction limit reached!
% 8.78/1.50  % (6115)------------------------------
% 8.78/1.50  % (6115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.78/1.50  % (6115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.78/1.50  % (6115)Termination reason: Unknown
% 8.78/1.50  % (6115)Termination phase: Saturation
% 8.78/1.50  
% 8.78/1.50  % (6115)Memory used [KB]: 9722
% 8.78/1.50  % (6115)Time elapsed: 0.300 s
% 8.78/1.50  % (6115)Instructions burned: 482 (million)
% 8.78/1.50  % (6115)------------------------------
% 8.78/1.50  % (6115)------------------------------
% 9.25/1.57  % (6250)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1824Mi)
% 9.25/1.57  % (6154)Instruction limit reached!
% 9.25/1.57  % (6154)------------------------------
% 9.25/1.57  % (6154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.25/1.57  % (6154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.25/1.57  % (6154)Termination reason: Unknown
% 9.25/1.57  % (6154)Termination phase: Saturation
% 9.25/1.57  
% 9.25/1.57  % (6154)Memory used [KB]: 9594
% 9.25/1.57  % (6154)Time elapsed: 0.916 s
% 9.25/1.57  % (6154)Instructions burned: 389 (million)
% 9.25/1.57  % (6154)------------------------------
% 9.25/1.57  % (6154)------------------------------
% 9.30/1.58  % (6261)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/90Mi)
% 9.30/1.59  % (6267)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/44001Mi)
% 9.30/1.59  % (6257)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9707Mi)
% 9.30/1.60  % (6254)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9989Mi)
% 9.52/1.63  % (6269)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/4958Mi)
% 9.52/1.68  % (6317)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/35256Mi)
% 9.52/1.71  % (6171)First to succeed.
% 9.52/1.72  % (6116)Instruction limit reached!
% 9.52/1.72  % (6116)------------------------------
% 9.52/1.72  % (6116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.52/1.72  % (6116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.52/1.72  % (6116)Termination reason: Unknown
% 9.52/1.72  % (6116)Termination phase: Saturation
% 9.52/1.72  
% 9.52/1.72  % (6116)Memory used [KB]: 11769
% 9.52/1.72  % (6116)Time elapsed: 1.263 s
% 9.52/1.72  % (6116)Instructions burned: 501 (million)
% 9.52/1.72  % (6116)------------------------------
% 9.52/1.72  % (6116)------------------------------
% 10.70/1.75  % (6261)Instruction limit reached!
% 10.70/1.75  % (6261)------------------------------
% 10.70/1.75  % (6261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.70/1.75  % (6261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.70/1.75  % (6261)Termination reason: Unknown
% 10.70/1.75  % (6261)Termination phase: Saturation
% 10.70/1.75  
% 10.70/1.75  % (6261)Memory used [KB]: 7931
% 10.70/1.75  % (6261)Time elapsed: 0.239 s
% 10.70/1.75  % (6261)Instructions burned: 91 (million)
% 10.70/1.75  % (6261)------------------------------
% 10.70/1.75  % (6261)------------------------------
% 11.38/1.83  % (6368)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/32293Mi)
% 11.38/1.84  % (6186)Also succeeded, but the first one will report.
% 11.38/1.84  % (6171)Refutation found. Thanks to Tanya!
% 11.38/1.84  % SZS status Unsatisfiable for theBenchmark
% 11.38/1.84  % SZS output start Proof for theBenchmark
% See solution above
% 11.38/1.86  % (6171)------------------------------
% 11.38/1.86  % (6171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.38/1.86  % (6171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.38/1.86  % (6171)Termination reason: Refutation
% 11.38/1.86  
% 11.38/1.86  % (6171)Memory used [KB]: 6908
% 11.38/1.86  % (6171)Time elapsed: 0.239 s
% 11.38/1.86  % (6171)Instructions burned: 494 (million)
% 11.38/1.86  % (6171)------------------------------
% 11.38/1.86  % (6171)------------------------------
% 11.38/1.86  % (6090)Success in time 1.516 s
%------------------------------------------------------------------------------