TSTP Solution File: NUM375+1.020 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM375+1.020 : 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 18:04:12 EDT 2022
% Result : Unsatisfiable 6.40s 1.20s
% Output : Refutation 6.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 44
% Syntax : Number of formulae : 4885 ( 506 unt; 0 def)
% Number of atoms : 17626 (8577 equ)
% Maximal formula atoms : 1514 ( 3 avg)
% Number of connectives : 22671 (9930 ~;8402 |;4296 &)
% ( 42 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 721 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 43 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 24 con; 0-2 aty)
% Number of variables : 12 ( 0 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9520,plain,
$false,
inference(avatar_sat_refutation,[],[f807,f892,f903,f912,f923,f933,f945,f956,f965,f978,f988,f999,f1018,f1029,f1039,f1060,f1079,f1094,f1111,f1120,f1146,f1159,f1187,f1209,f1221,f1231,f1244,f1258,f1271,f1283,f1295,f1309,f1319,f1329,f1343,f1355,f1369,f1382,f1407,f1426,f1445,f1472,f1490,f1511,f1535,f1546,f1572,f1587,f1605,f1622,f1641,f1660,f1671,f1685,f1711,f1731,f1749,f1778,f1794,f1826,f1845,f1862,f1884,f1905,f1929,f1951,f1976,f2003,f2019,f2031,f2045,f2055,f2072,f2085,f2111,f2131,f2147,f2174,f2184,f2213,f2229,f2259,f2276,f2306,f2325,f2353,f2365,f2389,f2419,f2436,f2447,f2461,f2483,f2493,f2519,f2538,f2555,f2575,f2592,f2612,f2633,f2670,f2700,f2714,f2725,f2742,f2761,f2782,f2800,f2827,f2861,f2878,f2900,f2916,f2950,f2973,f2988,f3001,f3028,f3056,f3080,f3099,f3110,f3123,f3145,f3158,f3179,f3196,f3213,f3239,f3255,f3270,f3301,f3319,f3341,f3363,f3378,f3398,f3427,f3447,f3467,f3495,f3506,f3529,f3545,f3565,f3588,f3611,f3633,f3646,f3660,f3689,f3716,f3737,f3766,f3789,f3800,f3823,f3835,f3847,f3862,f3878,f3895,f3919,f3943,f3963,f3983,f4011,f4033,f4048,f4075,f4101,f4121,f4134,f4154,f4173,f4199,f4217,f4245,f4258,f4294,f4306,f4323,f4340,f4355,f4378,f4391,f4417,f4430,f4443,f4464,f4491,f4503,f4525,f4549,f4570,f4596,f4623,f4653,f4666,f4683,f4703,f4720,f4745,f4765,f4782,f4810,f4828,f4847,f4865,f4882,f4911,f4932,f4944,f4957,f4972,f4994,f5008,f5025,f5048,f5065,f5084,f5104,f5126,f5149,f5166,f5180,f5203,f5216,f5226,f5254,f5273,f5302,f5329,f5354,f5370,f5392,f5416,f5431,f5461,f5478,f5507,f5518,f5538,f5552,f5575,f5587,f5611,f5621,f5645,f5656,f5682,f5698,f5721,f5738,f5754,f5785,f5795,f5824,f5850,f5868,f5912,f5928,f5953,f5973,f5990,f6017,f6049,f6064,f6091,f6108,f6120,f6130,f6141,f6163,f6184,f6209,f6231,f6258,f6281,f6299,f6318,f6332,f6353,f6369,f6392,f6405,f6432,f6454,f6478,f6494,f6521,f6533,f6548,f6564,f6587,f6608,f6625,f6649,f6673,f6706,f6722,f6750,f6771,f6785,f6806,f6818,f6844,f6854,f6868,f6891,f6920,f6936,f6950,f6978,f7001,f7022,f7048,f7062,f7072,f7083,f7099,f7121,f7147,f7159,f7184,f7199,f7220,f7237,f7269,f7287,f7297,f7323,f7347,f7377,f7388,f7400,f7423,f7434,f7451,f7476,f7497,f7514,f7560,f7581,f7611,f7631,f7644,f7661,f7682,f7697,f7714,f7724,f7754,f7769,f7787,f7802,f7814,f7843,f7854,f7870,f7895,f7909,f7935,f7950,f7967,f7983,f8007,f8023,f8037,f8061,f8082,f8113,f8128,f8138,f8153,f8171,f8188,f8222,f8248,f8272,f8285,f8314,f8325,f8350,f8361,f8379,f8402,f8435,f8448,f8465,f8490,f8509,f8521,f8540,f8550,f8574,f8595,f8614,f8627,f8642,f8663,f8692,f8705,f8715,f8738,f8754,f8765,f8776,f8801,f8814,f8829,f8857,f8873,f8900,f8916,f8939,f8953,f8964,f8981,f9003,f9019,f9045,f9077,f9094,f9118,f9130,f9164,f9178,f9204,f9217,f9243,f9259,f9283,f9314,f9329,f9355,f9383,f9414,f9433,f9455,f9492,f9514]) ).
fof(f9514,plain,
( ~ spl3_5
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f9513]) ).
fof(f9513,plain,
( $false
| ~ spl3_5
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f9512,f393]) ).
fof(f393,plain,
n0 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
( n16 = sum(n6,n10)
& n0 != n20
& n6 != n18
& n2 != n15
& n14 = sum(n7,n7)
& n2 = sum(n8,n15)
& n17 = sum(n9,n8)
& n5 = sum(n16,n10)
& n7 = sum(n20,n8)
& n15 = sum(n5,n10)
& n9 = sum(n3,n6)
& n3 = sum(n18,n6)
& n11 = sum(n12,n20)
& n5 != n13
& n4 = pred(n5)
& n20 = sum(n1,n19)
& n16 = sum(n1,n15)
& n7 = sum(n1,n6)
& n2 = sum(n20,n3)
& n10 = sum(n12,n19)
& n14 = sum(n10,n4)
& n9 = sum(n6,n3)
& n7 != n20
& n17 != n18
& n4 = sum(n14,n11)
& succ(n13) = n14
& n7 = sum(n4,n3)
& n3 = sum(n14,n10)
& n10 = sum(n6,n4)
& n1 = sum(n17,n5)
& n14 = sum(n15,n20)
& n7 != n19
& n12 = sum(n18,n15)
& n3 = sum(n7,n17)
& n9 != n20
& n17 = sum(n5,n12)
& n5 != n6
& n16 = sum(n20,n17)
& n10 = sum(n14,n17)
& n7 = sum(n17,n11)
& n10 = sum(n2,n8)
& n11 != n14
& n1 = pred(n2)
& n2 = sum(n0,n2)
& n1 != n12
& n11 != n17
& n9 = sum(n14,n16)
& n6 = sum(n15,n12)
& n1 != n13
& n15 != n17
& n3 = sum(n12,n12)
& n19 = sum(n1,n18)
& n10 = sum(n9,n1)
& n15 = sum(n0,n15)
& n2 != n11
& n13 = sum(n7,n6)
& n2 = sum(n16,n7)
& n18 = sum(n15,n3)
& n8 = sum(n19,n10)
& n20 != sK0
& n19 = sum(n0,n19)
& n16 = pred(n17)
& n0 = sum(n7,n14)
& n18 = sum(n5,n13)
& n18 = sum(n10,n8)
& n7 != n13
& n15 = sum(n16,n20)
& n6 = sum(n1,n5)
& n4 != n13
& n10 = sum(n15,n16)
& n1 != n20
& n18 = sum(n7,n11)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n3 != n9
& n10 != n20
& n8 = sum(n8,n0)
& n0 != n2
& n17 != n19
& n2 != n6
& n4 = sum(n3,n1)
& n8 != n18
& n3 = sum(n11,n13)
& n19 = sum(n11,n8)
& n20 = sum(n15,n5)
& n7 != sK0
& n11 = sum(n9,n2)
& n14 = sum(n5,n9)
& n2 != n18
& n1 != n3
& n1 = sum(n8,n14)
& n12 = sum(n10,n2)
& n10 != n19
& n16 = sum(n17,n20)
& n5 = sum(n11,n15)
& n15 = sum(n4,n11)
& n8 = sum(n0,n8)
& n5 = sum(n2,n3)
& n9 != n17
& n15 = sum(n8,n7)
& n17 = pred(n18)
& n13 = sum(n6,n7)
& n19 = sum(n4,n15)
& n9 = sum(n20,n10)
& n9 = sum(n7,n2)
& n3 = sum(n9,n15)
& n11 != n13
& n9 = sum(n11,n19)
& n17 = sum(n19,n19)
& n9 != n10
& n8 = sum(n4,n4)
& n11 != n18
& n10 = sum(n7,n3)
& n6 != n15
& n5 = sum(n20,n6)
& n12 = sum(n9,n3)
& n5 = sum(n14,n12)
& n6 = sum(n2,n4)
& n12 = sum(n2,n10)
& n15 = sum(n11,n4)
& n13 != n20
& n5 != n7
& n11 = sum(n15,n17)
& n11 = sum(n0,n11)
& n14 = sum(n1,n13)
& n12 != n15
& n10 != n13
& n11 = sum(n4,n7)
& n7 != n15
& n20 = sum(n5,n15)
& n20 = sum(n16,n4)
& n6 = sum(n0,n6)
& n17 = sum(n11,n6)
& n12 = sum(n8,n4)
& n0 != n13
& n18 = sum(n11,n7)
& n4 != n9
& n2 = sum(n10,n13)
& n3 != n15
& n6 = sum(n17,n10)
& n9 != n19
& n5 = pred(n6)
& n17 = sum(n2,n15)
& n5 = sum(n5,n0)
& n6 = sum(n5,n1)
& n4 != n18
& n18 = pred(n19)
& n14 = sum(n13,n1)
& n5 != n10
& n13 = sum(n16,n18)
& n10 = sum(n1,n9)
& succ(n14) = n15
& n14 = sum(n16,n19)
& succ(n18) = n19
& n18 = sum(n12,n6)
& n6 = sum(n9,n18)
& n1 != n19
& n8 != n16
& n18 = sum(n0,n18)
& n8 != n9
& n7 = sum(n7,n0)
& n15 = sum(n20,n16)
& succ(n2) = n3
& n5 != n20
& n11 = sum(n17,n15)
& n14 != n16
& n0 != n18
& n9 = sum(n4,n5)
& n2 = sum(n12,n11)
& n18 = sum(n9,n9)
& n18 != n20
& n7 = sum(n16,n12)
& n2 = sum(n7,n16)
& n20 = sum(n3,n17)
& n6 = sum(n20,n7)
& n18 = sum(n3,n15)
& n11 = sum(n6,n5)
& n16 = sum(n7,n9)
& n8 = sum(n18,n11)
& succ(n0) = n1
& succ(n10) = n11
& n4 = sum(n11,n14)
& n8 = pred(n9)
& n19 = sum(n18,n1)
& n2 = sum(n9,n14)
& n4 = sum(n2,n2)
& n8 != n12
& n20 = sum(n4,n16)
& n0 != n14
& n1 != n10
& n5 != n8
& n17 = sum(n12,n5)
& n1 != n6
& n4 != n20
& n6 = sum(n12,n15)
& n10 = sum(n4,n6)
& n4 != n17
& n19 = sum(n16,n3)
& n15 = sum(n10,n5)
& n1 != n8
& n1 = sum(n5,n17)
& n10 != n12
& n6 != n17
& n20 = sum(n9,n11)
& n4 != n10
& n10 != n14
& n15 = sum(n6,n9)
& n7 != n10
& n19 = sum(n10,n9)
& n1 = sum(n20,n2)
& n8 = sum(n20,n9)
& n8 != n15
& n1 = sum(n1,n0)
& n2 != sK0
& n0 != n6
& n0 != n10
& n20 = sum(n17,n3)
& succ(n8) = n9
& n16 = sum(n15,n1)
& n19 != n20
& n18 = sum(n16,n2)
& n5 != n12
& n1 = sum(n16,n6)
& n3 != n16
& n3 != n4
& n12 = sum(n13,n20)
& n6 != n19
& n3 != n12
& n3 != n19
& n10 = sum(n19,n12)
& n16 = sum(n8,n8)
& n0 != n12
& n4 = sum(n19,n6)
& n10 = sum(n10,n0)
& n4 = sum(n18,n7)
& n2 != n10
& n18 = sum(n17,n1)
& n7 = sum(n5,n2)
& n1 = sum(n0,n1)
& n14 != n18
& n9 = sum(n8,n1)
& n6 != n7
& n2 = pred(n3)
& n9 = sum(n17,n13)
& n4 = sum(n9,n16)
& n7 = sum(n8,n20)
& n15 = sum(n15,n0)
& n15 = sum(n13,n2)
& n5 != n17
& n4 != n8
& n20 = sum(n10,n10)
& n11 != n19
& n18 != sK0
& n0 = sum(n13,n8)
& n9 = sum(n12,n18)
& n5 = sum(n0,n5)
& n1 != n17
& n11 = sum(n7,n4)
& n1 = sum(n3,n19)
& n15 = sum(n2,n13)
& n7 != n18
& n11 = pred(n12)
& n9 = sum(n10,n20)
& n18 = sum(n1,n17)
& n13 != n18
& n2 = sum(n15,n8)
& n8 != n17
& n11 = sum(n18,n14)
& n4 = sum(n1,n3)
& n4 != sK0
& n17 = sum(n16,n1)
& n11 != n15
& n5 = sum(n1,n4)
& n12 != n17
& n13 = sum(n20,n14)
& n0 != n1
& n12 = sum(n14,n19)
& n11 = sum(n16,n16)
& n1 != n15
& n15 != n18
& n6 = sum(n10,n17)
& n2 != n13
& n14 = sum(n2,n12)
& n19 = sum(n13,n6)
& n4 = sum(n20,n5)
& n12 = sum(n6,n6)
& n5 != n14
& n12 = sum(n12,n0)
& n15 = sum(n18,n18)
& n15 = sum(n14,n1)
& n6 != sK0
& n4 = sum(n12,n13)
& n17 = sum(n7,n10)
& n1 = sum(n12,n10)
& n11 = sum(n14,n18)
& n1 = sum(n14,n8)
& n14 = sum(n0,n14)
& n14 = sum(n17,n18)
& n8 = sum(n1,n7)
& n6 = pred(n7)
& n5 = sum(n4,n1)
& n0 = sum(n5,n16)
& succ(n5) = n6
& n10 = sum(n18,n13)
& n15 != n16
& n14 = sum(n9,n5)
& n3 = sum(n10,n14)
& n0 != n5
& n7 != n17
& succ(n7) = n8
& n0 != n19
& n5 = sum(n18,n8)
& n12 != n14
& n10 = sum(n0,n10)
& n16 = sum(n10,n6)
& n0 = sum(n0,n0)
& n10 = sum(n16,n15)
& n8 = sum(n14,n15)
& n13 = sum(n8,n5)
& n2 != n17
& n8 = sum(n2,n6)
& n12 = sum(n3,n9)
& n13 = sum(n15,n19)
& n0 = sum(n9,n12)
& n16 = sum(n16,n0)
& n3 = sum(n0,n3)
& n12 = sum(n15,n18)
& n8 = sum(n3,n5)
& n11 = sum(n1,n10)
& n0 != sK0
& n0 = sum(n11,n10)
& n5 = sum(n3,n2)
& n13 = sum(n13,n0)
& succ(n9) = n10
& n6 != n16
& n15 = pred(n16)
& n5 = sum(n6,n20)
& n17 = sum(n0,n17)
& n6 != n10
& n20 = sum(n11,n9)
& n8 = sum(n6,n2)
& n13 = sum(n0,n13)
& n2 = sum(n11,n12)
& n1 != n14
& n12 = pred(n13)
& n4 = sum(n0,n4)
& n3 = sum(n5,n19)
& n0 != n15
& n0 = sum(n4,n17)
& n14 = sum(n18,n17)
& n16 != n18
& n4 != n19
& n0 = succ(n20)
& n6 != n9
& n3 = sum(n1,n2)
& n8 != n10
& n0 != n8
& n14 = sum(n11,n3)
& n19 = sum(n5,n14)
& succ(n17) = n18
& n4 = sum(n15,n10)
& n18 != n19
& n4 = sum(n8,n17)
& ( n4 = sK1
| n16 = sK1
| n8 = sK1
| n1 = sK1
| n18 = sK1
| n6 = sK1
| n12 = sK1
| n11 = sK1
| n19 = sK1
| n2 = sK1
| n9 = sK1
| n5 = sK1
| n20 = sK1
| n10 = sK1
| n17 = sK1
| n0 = sK1
| n14 = sK1
| n13 = sK1
| n7 = sK1
| n15 = sK1
| n3 = sK1 )
& n7 = sum(n14,n14)
& n2 = sum(n13,n10)
& n16 = sum(n2,n14)
& n8 != n20
& n19 = sum(n9,n10)
& n19 = sum(n8,n11)
& n9 != n14
& n13 != n19
& n9 = sum(n13,n17)
& n14 = sum(n14,n0)
& n14 != n17
& n16 != n20
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n5 = sum(n9,n17)
& n16 = sum(n9,n7)
& n20 = pred(n0)
& n2 = sum(n3,n20)
& n14 = sum(n8,n6)
& n7 = sum(n18,n10)
& n19 = sum(n7,n12)
& n13 = sum(n19,n15)
& n0 = sum(n12,n9)
& n0 = sum(n15,n6)
& n20 = sum(n20,n0)
& n11 != n20
& n3 = sum(n13,n11)
& n0 = sum(n8,n13)
& n1 = sum(n7,n15)
& n1 = sum(n6,n16)
& n17 = sum(n8,n9)
& n12 != n20
& n3 = sum(n17,n7)
& n3 = sum(n6,n18)
& n6 = sum(n16,n11)
& n5 = sum(n10,n16)
& succ(n12) = n13
& n3 != n17
& n15 = sum(n17,n19)
& n1 != n2
& n1 = sum(n13,n9)
& n2 != n16
& n8 != n11
& n10 = sum(n5,n5)
& n16 = sum(n13,n3)
& n0 = sum(n14,n7)
& n14 = sum(n6,n8)
& n9 = sum(n0,n9)
& n13 = sum(n18,n16)
& n17 != n20
& n0 = sum(n16,n5)
& n17 != sK0
& n8 != sK0
& n1 != n4
& n6 = sum(n7,n20)
& n14 = sum(n12,n2)
& n4 = sum(n13,n12)
& n8 = sum(n16,n13)
& n19 = sum(n19,n0)
& n2 = sum(n17,n6)
& n20 = sum(n2,n18)
& n9 != n15
& n16 = sum(n18,n19)
& n13 = sum(n12,n1)
& n15 != n20
& n3 = sum(n19,n5)
& n3 = sum(n2,n1)
& n9 = sum(n19,n11)
& n11 = sum(n13,n19)
& n17 = sum(n10,n7)
& n9 != n16
& n6 = sum(n3,n3)
& n3 != n18
& n3 != n20
& n3 != n8
& n19 = sum(n14,n5)
& n12 = sum(n7,n5)
& n11 = sum(n2,n9)
& n14 = sum(n19,n16)
& n4 = sum(n10,n15)
& n13 = pred(n14)
& n19 != sK0
& n7 = sum(n2,n5)
& n4 != n14
& n2 != n14
& n12 = sum(n19,n14)
& n12 = sum(n17,n16)
& n1 != n18
& n9 != n18
& n17 = sum(n3,n14)
& n7 != n9
& n12 = sum(n16,n17)
& n7 = sum(n3,n4)
& n10 = sum(n11,n20)
& n10 != n15
& n1 = sum(n15,n7)
& n0 = sum(n6,n15)
& n7 = sum(n11,n17)
& n6 = sum(n6,n0)
& n1 = sum(n19,n3)
& n5 = sum(n15,n11)
& n8 = sum(n7,n1)
& n17 = sum(n4,n13)
& n5 = sum(n8,n18)
& n20 = sum(n7,n13)
& n14 = sum(n20,n15)
& n1 != n11
& n3 = sum(n15,n9)
& n8 != n13
& succ(n19) = n20
& n13 != n15
& n12 = sum(n11,n1)
& n19 = sum(n15,n4)
& n7 = pred(n8)
& sK0 = sum(pred(sum(sK1,succ(sK2))),sum(sK2,pred(sum(sK1,sK2))))
& n6 = sum(n14,n13)
& n10 = sum(n20,n11)
& n8 = sum(n10,n19)
& n10 = sum(n13,n18)
& n2 != n19
& n3 != n6
& n4 != n7
& n16 = sum(n11,n5)
& n3 = sum(n16,n8)
& n11 != n16
& n18 = sum(n19,n20)
& n15 = sum(n12,n3)
& n9 = pred(n10)
& n4 = sum(n5,n20)
& n3 = sum(n3,n0)
& n17 = sum(n13,n4)
& n8 != n19
& n19 = sum(n6,n13)
& n12 != n16
& n2 = sum(n19,n4)
& n13 = sum(n2,n11)
& n8 = sum(n13,n16)
& n16 != n19
& n2 != n8
& n11 != n12
& n10 != n16
& n3 != n10
& n2 = sum(n6,n17)
& n13 = sum(n17,n17)
& n2 != n5
& n8 = sum(n9,n20)
& n5 = sum(n19,n7)
& n6 = sum(n4,n2)
& n14 != n20
& n20 = sum(n12,n8)
& n2 != n9
& n5 != n18
& n7 = sum(n15,n13)
& n13 = sum(n5,n8)
& n0 = sum(n3,n18)
& n1 = sum(n10,n12)
& n2 = sum(n1,n1)
& n3 != n13
& n8 != n14
& n0 != n16
& n7 = sum(n19,n9)
& n13 = sum(n1,n12)
& n10 = sum(n3,n7)
& n19 = sum(n20,n20)
& n20 = sum(n19,n1)
& n14 = sum(n4,n10)
& n13 = sum(n10,n3)
& n0 = sum(n2,n19)
& n6 = sum(n11,n16)
& n15 = sum(n9,n6)
& n6 != n8
& n19 = sum(n17,n2)
& n7 = sum(n13,n15)
& n4 = sum(n6,n19)
& n6 = sum(n13,n14)
& n0 != n17
& n6 != n13
& n3 = sum(n4,n20)
& n7 != n16
& n12 != n18
& n1 != n16
& n12 = sum(n1,n11)
& n13 = sum(n3,n10)
& n18 = sum(n18,n0)
& n20 = sum(n8,n12)
& n19 = sum(n3,n16)
& n0 = sum(n18,n3)
& n3 = sum(n8,n16)
& n17 = sum(n17,n0)
& n10 != n18
& n15 != n19
& n16 = sum(n3,n13)
& n12 != n19
& n3 = pred(n4)
& n14 = pred(n15)
& n4 = sum(n17,n8)
& n3 = sum(n20,n4)
& n4 != n5
& n0 = sum(n10,n11)
& n2 != n4
& n15 = sum(n7,n8)
& n0 = sum(n20,n1)
& n20 = sum(n0,n20)
& n5 != n15
& n2 = sum(n5,n18)
& n10 != n17
& n9 = sum(n1,n8)
& n13 != n17
& n13 != n16
& n4 != n12
& n19 = pred(n20)
& n1 != n5
& n8 = sum(n5,n3)
& n18 = sum(n20,n19)
& n10 = sum(n17,n14)
& n2 != n3
& n2 = sum(n14,n9)
& succ(n3) = n4
& n14 != sK0
& n15 = sum(n19,n17)
& n1 = sum(n9,n13)
& succ(n6) = n7
& n8 = sum(n15,n14)
& n7 = sum(n12,n16)
& n16 = sum(n19,n18)
& n6 != n11
& n14 != n19
& n12 = sum(n5,n7)
& n12 = sum(n0,n12)
& n11 = sum(n5,n6)
& n15 != sK0
& n5 != n19
& n13 = sum(n9,n4)
& n17 = sum(n20,n18)
& n7 != n11
& n9 != sK0
& n4 = sum(n4,n0)
& n3 != n14
& n3 != n11
& n2 != n7
& n16 != sK0
& n3 != n7
& n6 != n14
& n6 = sum(n19,n8)
& n8 = sum(n17,n12)
& n0 = sum(n19,n2)
& n1 = sum(n4,n18)
& n5 != sK0
& n5 = sum(n17,n9)
& succ(n15) = n16
& n18 = sum(n4,n14)
& n9 = sum(n18,n12)
& n17 = sum(n15,n2)
& n7 = sum(n9,n19)
& n4 != n15
& n18 = sum(n8,n10)
& n10 != sK0
& n11 = sum(n11,n0)
& ( n4 = sK2
| n5 = sK2
| n16 = sK2
| n20 = sK2
| n14 = sK2
| n0 = sK2
| n18 = sK2
| n15 = sK2
| n8 = sK2
| n13 = sK2
| n7 = sK2
| n10 = sK2
| n9 = sK2
| n1 = sK2
| n11 = sK2
| n12 = sK2
| n2 = sK2
| n3 = sK2
| n6 = sK2
| n19 = sK2
| n17 = sK2 )
& n11 = sum(n20,n12)
& n19 = sum(n12,n7)
& n20 = sum(n18,n2)
& n0 = pred(n1)
& n18 = sum(n13,n5)
& n4 != n16
& n1 = sum(n18,n4)
& n0 != n9
& n1 = sum(n2,n20)
& n16 = sum(n14,n2)
& n5 = sum(n7,n19)
& n4 != n6
& n8 = sum(n11,n18)
& n7 != n12
& n17 = sum(n14,n3)
& n17 = sum(n1,n16)
& n16 = sum(n4,n12)
& n9 = sum(n16,n14)
& n5 = sum(n12,n14)
& n3 != n5
& n18 = sum(n6,n12)
& n15 = sum(n1,n14)
& n0 != n3
& n6 != n12
& n13 = sum(n14,n20)
& n0 = sum(n17,n4)
& n9 != n12
& succ(n4) = n5
& n2 = sum(n18,n5)
& n7 != n14
& n7 = sum(n0,n7)
& n9 = sum(n2,n7)
& n16 != n17
& n12 != n13
& n5 != n11
& n9 != n13
& n2 = sum(n2,n0)
& n5 = sum(n13,n13)
& n11 = sum(n3,n8)
& n1 != sK0
& n9 = sum(n5,n4)
& n11 = sum(n8,n3)
& n2 != n20
& n2 = sum(n4,n19)
& succ(n11) = n12
& n9 != n11
& n19 = sum(n2,n17)
& n20 = sum(n13,n7)
& n0 != n11
& n8 = sum(n12,n17)
& n1 != n7
& n12 = sum(n20,n13)
& n9 = sum(n9,n0)
& n10 = sum(n8,n2)
& n10 = pred(n11)
& n12 != sK0
& n13 != sK0
& n13 = sum(n4,n9)
& n0 != n7
& n1 != n9
& n2 != n12
& n20 = sum(n14,n6)
& n17 = sum(n6,n11)
& n5 != n9
& n11 = sum(n19,n13)
& n4 != n11
& n18 = sum(n2,n16)
& n6 = sum(n8,n19)
& n10 != n11
& n7 != n8
& n11 = sum(n10,n1)
& n16 = sum(n12,n4)
& n14 != n15
& n5 != n16
& n7 = sum(n6,n1)
& n7 = sum(n10,n18)
& n17 = sum(n18,n20)
& n6 = sum(n18,n9)
& n4 = sum(n16,n9)
& succ(n1) = n2
& n9 = sum(n15,n15)
& n18 = sum(n14,n4)
& n0 = sum(n1,n20)
& n20 = sum(n6,n14)
& n12 = sum(n4,n8)
& n6 != n20
& n13 != n14
& n11 != sK0
& n0 != n4
& n13 = sum(n11,n2)
& n16 = sum(n5,n11)
& n3 != sK0
& n4 = sum(n7,n18)
& succ(n16) = n17 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f3,f4]) ).
fof(f4,plain,
( ? [X0,X1,X2] :
( n16 = sum(n6,n10)
& n0 != n20
& n6 != n18
& n2 != n15
& n14 = sum(n7,n7)
& n2 = sum(n8,n15)
& n17 = sum(n9,n8)
& n5 = sum(n16,n10)
& n7 = sum(n20,n8)
& n15 = sum(n5,n10)
& n9 = sum(n3,n6)
& n3 = sum(n18,n6)
& n11 = sum(n12,n20)
& n5 != n13
& n4 = pred(n5)
& n20 = sum(n1,n19)
& n16 = sum(n1,n15)
& n7 = sum(n1,n6)
& n2 = sum(n20,n3)
& n10 = sum(n12,n19)
& n14 = sum(n10,n4)
& n9 = sum(n6,n3)
& n7 != n20
& n17 != n18
& n4 = sum(n14,n11)
& succ(n13) = n14
& n7 = sum(n4,n3)
& n3 = sum(n14,n10)
& n10 = sum(n6,n4)
& n1 = sum(n17,n5)
& n14 = sum(n15,n20)
& n7 != n19
& n12 = sum(n18,n15)
& n3 = sum(n7,n17)
& n9 != n20
& n17 = sum(n5,n12)
& n5 != n6
& n16 = sum(n20,n17)
& n10 = sum(n14,n17)
& n7 = sum(n17,n11)
& n10 = sum(n2,n8)
& n11 != n14
& n1 = pred(n2)
& n2 = sum(n0,n2)
& n1 != n12
& n11 != n17
& n9 = sum(n14,n16)
& n6 = sum(n15,n12)
& n1 != n13
& n15 != n17
& n3 = sum(n12,n12)
& n19 = sum(n1,n18)
& n10 = sum(n9,n1)
& n15 = sum(n0,n15)
& n2 != n11
& n13 = sum(n7,n6)
& n2 = sum(n16,n7)
& n18 = sum(n15,n3)
& n8 = sum(n19,n10)
& n20 != X0
& n19 = sum(n0,n19)
& n16 = pred(n17)
& n0 = sum(n7,n14)
& n18 = sum(n5,n13)
& n18 = sum(n10,n8)
& n7 != n13
& n15 = sum(n16,n20)
& n6 = sum(n1,n5)
& n4 != n13
& n10 = sum(n15,n16)
& n1 != n20
& n18 = sum(n7,n11)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n3 != n9
& n10 != n20
& n8 = sum(n8,n0)
& n0 != n2
& n17 != n19
& n2 != n6
& n4 = sum(n3,n1)
& n8 != n18
& n3 = sum(n11,n13)
& n19 = sum(n11,n8)
& n20 = sum(n15,n5)
& n7 != X0
& n11 = sum(n9,n2)
& n14 = sum(n5,n9)
& n2 != n18
& n1 != n3
& n1 = sum(n8,n14)
& n12 = sum(n10,n2)
& n10 != n19
& n16 = sum(n17,n20)
& n5 = sum(n11,n15)
& n15 = sum(n4,n11)
& n8 = sum(n0,n8)
& n5 = sum(n2,n3)
& n9 != n17
& n15 = sum(n8,n7)
& n17 = pred(n18)
& n13 = sum(n6,n7)
& n19 = sum(n4,n15)
& n9 = sum(n20,n10)
& n9 = sum(n7,n2)
& n3 = sum(n9,n15)
& n11 != n13
& n9 = sum(n11,n19)
& n17 = sum(n19,n19)
& n9 != n10
& n8 = sum(n4,n4)
& n11 != n18
& n10 = sum(n7,n3)
& n6 != n15
& n5 = sum(n20,n6)
& n12 = sum(n9,n3)
& n5 = sum(n14,n12)
& n6 = sum(n2,n4)
& n12 = sum(n2,n10)
& n15 = sum(n11,n4)
& n13 != n20
& n5 != n7
& n11 = sum(n15,n17)
& n11 = sum(n0,n11)
& n14 = sum(n1,n13)
& n12 != n15
& n10 != n13
& n11 = sum(n4,n7)
& n7 != n15
& n20 = sum(n5,n15)
& n20 = sum(n16,n4)
& n6 = sum(n0,n6)
& n17 = sum(n11,n6)
& n12 = sum(n8,n4)
& n0 != n13
& n18 = sum(n11,n7)
& n4 != n9
& n2 = sum(n10,n13)
& n3 != n15
& n6 = sum(n17,n10)
& n9 != n19
& n5 = pred(n6)
& n17 = sum(n2,n15)
& n5 = sum(n5,n0)
& n6 = sum(n5,n1)
& n4 != n18
& n18 = pred(n19)
& n14 = sum(n13,n1)
& n5 != n10
& n13 = sum(n16,n18)
& n10 = sum(n1,n9)
& succ(n14) = n15
& n14 = sum(n16,n19)
& succ(n18) = n19
& n18 = sum(n12,n6)
& n6 = sum(n9,n18)
& n1 != n19
& n8 != n16
& n18 = sum(n0,n18)
& n8 != n9
& n7 = sum(n7,n0)
& n15 = sum(n20,n16)
& succ(n2) = n3
& n5 != n20
& n11 = sum(n17,n15)
& n14 != n16
& n0 != n18
& n9 = sum(n4,n5)
& n2 = sum(n12,n11)
& n18 = sum(n9,n9)
& n18 != n20
& n7 = sum(n16,n12)
& n2 = sum(n7,n16)
& n20 = sum(n3,n17)
& n6 = sum(n20,n7)
& n18 = sum(n3,n15)
& n11 = sum(n6,n5)
& n16 = sum(n7,n9)
& n8 = sum(n18,n11)
& succ(n0) = n1
& succ(n10) = n11
& n4 = sum(n11,n14)
& n8 = pred(n9)
& n19 = sum(n18,n1)
& n2 = sum(n9,n14)
& n4 = sum(n2,n2)
& n8 != n12
& n20 = sum(n4,n16)
& n0 != n14
& n1 != n10
& n5 != n8
& n17 = sum(n12,n5)
& n1 != n6
& n4 != n20
& n6 = sum(n12,n15)
& n10 = sum(n4,n6)
& n4 != n17
& n19 = sum(n16,n3)
& n15 = sum(n10,n5)
& n1 != n8
& n1 = sum(n5,n17)
& n10 != n12
& n6 != n17
& n20 = sum(n9,n11)
& n4 != n10
& n10 != n14
& n15 = sum(n6,n9)
& n7 != n10
& n19 = sum(n10,n9)
& n1 = sum(n20,n2)
& n8 = sum(n20,n9)
& n8 != n15
& n1 = sum(n1,n0)
& n2 != X0
& n0 != n6
& n0 != n10
& n20 = sum(n17,n3)
& succ(n8) = n9
& n16 = sum(n15,n1)
& n19 != n20
& n18 = sum(n16,n2)
& n5 != n12
& n1 = sum(n16,n6)
& n3 != n16
& n3 != n4
& n12 = sum(n13,n20)
& n6 != n19
& n3 != n12
& n3 != n19
& n10 = sum(n19,n12)
& n16 = sum(n8,n8)
& n0 != n12
& n4 = sum(n19,n6)
& n10 = sum(n10,n0)
& n4 = sum(n18,n7)
& n2 != n10
& n18 = sum(n17,n1)
& n7 = sum(n5,n2)
& n1 = sum(n0,n1)
& n14 != n18
& n9 = sum(n8,n1)
& n6 != n7
& n2 = pred(n3)
& n9 = sum(n17,n13)
& n4 = sum(n9,n16)
& n7 = sum(n8,n20)
& n15 = sum(n15,n0)
& n15 = sum(n13,n2)
& n5 != n17
& n4 != n8
& n20 = sum(n10,n10)
& n11 != n19
& n18 != X0
& n0 = sum(n13,n8)
& n9 = sum(n12,n18)
& n5 = sum(n0,n5)
& n1 != n17
& n11 = sum(n7,n4)
& n1 = sum(n3,n19)
& n15 = sum(n2,n13)
& n7 != n18
& n11 = pred(n12)
& n9 = sum(n10,n20)
& n18 = sum(n1,n17)
& n13 != n18
& n2 = sum(n15,n8)
& n8 != n17
& n11 = sum(n18,n14)
& n4 = sum(n1,n3)
& n4 != X0
& n17 = sum(n16,n1)
& n11 != n15
& n5 = sum(n1,n4)
& n12 != n17
& n13 = sum(n20,n14)
& n0 != n1
& n12 = sum(n14,n19)
& n11 = sum(n16,n16)
& n1 != n15
& n15 != n18
& n6 = sum(n10,n17)
& n2 != n13
& n14 = sum(n2,n12)
& n19 = sum(n13,n6)
& n4 = sum(n20,n5)
& n12 = sum(n6,n6)
& n5 != n14
& n12 = sum(n12,n0)
& n15 = sum(n18,n18)
& n15 = sum(n14,n1)
& n6 != X0
& n4 = sum(n12,n13)
& n17 = sum(n7,n10)
& n1 = sum(n12,n10)
& n11 = sum(n14,n18)
& n1 = sum(n14,n8)
& n14 = sum(n0,n14)
& n14 = sum(n17,n18)
& n8 = sum(n1,n7)
& n6 = pred(n7)
& n5 = sum(n4,n1)
& n0 = sum(n5,n16)
& succ(n5) = n6
& n10 = sum(n18,n13)
& n15 != n16
& n14 = sum(n9,n5)
& n3 = sum(n10,n14)
& n0 != n5
& n7 != n17
& succ(n7) = n8
& n0 != n19
& n5 = sum(n18,n8)
& n12 != n14
& n10 = sum(n0,n10)
& n16 = sum(n10,n6)
& n0 = sum(n0,n0)
& n10 = sum(n16,n15)
& n8 = sum(n14,n15)
& n13 = sum(n8,n5)
& n2 != n17
& n8 = sum(n2,n6)
& n12 = sum(n3,n9)
& n13 = sum(n15,n19)
& n0 = sum(n9,n12)
& n16 = sum(n16,n0)
& n3 = sum(n0,n3)
& n12 = sum(n15,n18)
& n8 = sum(n3,n5)
& n11 = sum(n1,n10)
& n0 != X0
& n0 = sum(n11,n10)
& n5 = sum(n3,n2)
& n13 = sum(n13,n0)
& succ(n9) = n10
& n6 != n16
& n15 = pred(n16)
& n5 = sum(n6,n20)
& n17 = sum(n0,n17)
& n6 != n10
& n20 = sum(n11,n9)
& n8 = sum(n6,n2)
& n13 = sum(n0,n13)
& n2 = sum(n11,n12)
& n1 != n14
& n12 = pred(n13)
& n4 = sum(n0,n4)
& n3 = sum(n5,n19)
& n0 != n15
& n0 = sum(n4,n17)
& n14 = sum(n18,n17)
& n16 != n18
& n4 != n19
& n0 = succ(n20)
& n6 != n9
& n3 = sum(n1,n2)
& n8 != n10
& n0 != n8
& n14 = sum(n11,n3)
& n19 = sum(n5,n14)
& succ(n17) = n18
& n4 = sum(n15,n10)
& n18 != n19
& n4 = sum(n8,n17)
& ( n4 = X1
| n16 = X1
| n8 = X1
| n1 = X1
| n18 = X1
| n6 = X1
| n12 = X1
| n11 = X1
| n19 = X1
| n2 = X1
| n9 = X1
| n5 = X1
| n20 = X1
| n10 = X1
| n17 = X1
| n0 = X1
| n14 = X1
| n13 = X1
| n7 = X1
| n15 = X1
| n3 = X1 )
& n7 = sum(n14,n14)
& n2 = sum(n13,n10)
& n16 = sum(n2,n14)
& n8 != n20
& n19 = sum(n9,n10)
& n19 = sum(n8,n11)
& n9 != n14
& n13 != n19
& n9 = sum(n13,n17)
& n14 = sum(n14,n0)
& n14 != n17
& n16 != n20
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n5 = sum(n9,n17)
& n16 = sum(n9,n7)
& n20 = pred(n0)
& n2 = sum(n3,n20)
& n14 = sum(n8,n6)
& n7 = sum(n18,n10)
& n19 = sum(n7,n12)
& n13 = sum(n19,n15)
& n0 = sum(n12,n9)
& n0 = sum(n15,n6)
& n20 = sum(n20,n0)
& n11 != n20
& n3 = sum(n13,n11)
& n0 = sum(n8,n13)
& n1 = sum(n7,n15)
& n1 = sum(n6,n16)
& n17 = sum(n8,n9)
& n12 != n20
& n3 = sum(n17,n7)
& n3 = sum(n6,n18)
& n6 = sum(n16,n11)
& n5 = sum(n10,n16)
& succ(n12) = n13
& n3 != n17
& n15 = sum(n17,n19)
& n1 != n2
& n1 = sum(n13,n9)
& n2 != n16
& n8 != n11
& n10 = sum(n5,n5)
& n16 = sum(n13,n3)
& n0 = sum(n14,n7)
& n14 = sum(n6,n8)
& n9 = sum(n0,n9)
& n13 = sum(n18,n16)
& n17 != n20
& n0 = sum(n16,n5)
& n17 != X0
& n8 != X0
& n1 != n4
& n6 = sum(n7,n20)
& n14 = sum(n12,n2)
& n4 = sum(n13,n12)
& n8 = sum(n16,n13)
& n19 = sum(n19,n0)
& n2 = sum(n17,n6)
& n20 = sum(n2,n18)
& n9 != n15
& n16 = sum(n18,n19)
& n13 = sum(n12,n1)
& n15 != n20
& n3 = sum(n19,n5)
& n3 = sum(n2,n1)
& n9 = sum(n19,n11)
& n11 = sum(n13,n19)
& n17 = sum(n10,n7)
& n9 != n16
& n6 = sum(n3,n3)
& n3 != n18
& n3 != n20
& n3 != n8
& n19 = sum(n14,n5)
& n12 = sum(n7,n5)
& n11 = sum(n2,n9)
& n14 = sum(n19,n16)
& n4 = sum(n10,n15)
& n13 = pred(n14)
& n19 != X0
& n7 = sum(n2,n5)
& n4 != n14
& n2 != n14
& n12 = sum(n19,n14)
& n12 = sum(n17,n16)
& n1 != n18
& n9 != n18
& n17 = sum(n3,n14)
& n7 != n9
& n12 = sum(n16,n17)
& n7 = sum(n3,n4)
& n10 = sum(n11,n20)
& n10 != n15
& n1 = sum(n15,n7)
& n0 = sum(n6,n15)
& n7 = sum(n11,n17)
& n6 = sum(n6,n0)
& n1 = sum(n19,n3)
& n5 = sum(n15,n11)
& n8 = sum(n7,n1)
& n17 = sum(n4,n13)
& n5 = sum(n8,n18)
& n20 = sum(n7,n13)
& n14 = sum(n20,n15)
& n1 != n11
& n3 = sum(n15,n9)
& n8 != n13
& succ(n19) = n20
& n13 != n15
& n12 = sum(n11,n1)
& n19 = sum(n15,n4)
& n7 = pred(n8)
& sum(pred(sum(X1,succ(X2))),sum(X2,pred(sum(X1,X2)))) = X0
& n6 = sum(n14,n13)
& n10 = sum(n20,n11)
& n8 = sum(n10,n19)
& n10 = sum(n13,n18)
& n2 != n19
& n3 != n6
& n4 != n7
& n16 = sum(n11,n5)
& n3 = sum(n16,n8)
& n11 != n16
& n18 = sum(n19,n20)
& n15 = sum(n12,n3)
& n9 = pred(n10)
& n4 = sum(n5,n20)
& n3 = sum(n3,n0)
& n17 = sum(n13,n4)
& n8 != n19
& n19 = sum(n6,n13)
& n12 != n16
& n2 = sum(n19,n4)
& n13 = sum(n2,n11)
& n8 = sum(n13,n16)
& n16 != n19
& n2 != n8
& n11 != n12
& n10 != n16
& n3 != n10
& n2 = sum(n6,n17)
& n13 = sum(n17,n17)
& n2 != n5
& n8 = sum(n9,n20)
& n5 = sum(n19,n7)
& n6 = sum(n4,n2)
& n14 != n20
& n20 = sum(n12,n8)
& n2 != n9
& n5 != n18
& n7 = sum(n15,n13)
& n13 = sum(n5,n8)
& n0 = sum(n3,n18)
& n1 = sum(n10,n12)
& n2 = sum(n1,n1)
& n3 != n13
& n8 != n14
& n0 != n16
& n7 = sum(n19,n9)
& n13 = sum(n1,n12)
& n10 = sum(n3,n7)
& n19 = sum(n20,n20)
& n20 = sum(n19,n1)
& n14 = sum(n4,n10)
& n13 = sum(n10,n3)
& n0 = sum(n2,n19)
& n6 = sum(n11,n16)
& n15 = sum(n9,n6)
& n6 != n8
& n19 = sum(n17,n2)
& n7 = sum(n13,n15)
& n4 = sum(n6,n19)
& n6 = sum(n13,n14)
& n0 != n17
& n6 != n13
& n3 = sum(n4,n20)
& n7 != n16
& n12 != n18
& n1 != n16
& n12 = sum(n1,n11)
& n13 = sum(n3,n10)
& n18 = sum(n18,n0)
& n20 = sum(n8,n12)
& n19 = sum(n3,n16)
& n0 = sum(n18,n3)
& n3 = sum(n8,n16)
& n17 = sum(n17,n0)
& n10 != n18
& n15 != n19
& n16 = sum(n3,n13)
& n12 != n19
& n3 = pred(n4)
& n14 = pred(n15)
& n4 = sum(n17,n8)
& n3 = sum(n20,n4)
& n4 != n5
& n0 = sum(n10,n11)
& n2 != n4
& n15 = sum(n7,n8)
& n0 = sum(n20,n1)
& n20 = sum(n0,n20)
& n5 != n15
& n2 = sum(n5,n18)
& n10 != n17
& n9 = sum(n1,n8)
& n13 != n17
& n13 != n16
& n4 != n12
& n19 = pred(n20)
& n1 != n5
& n8 = sum(n5,n3)
& n18 = sum(n20,n19)
& n10 = sum(n17,n14)
& n2 != n3
& n2 = sum(n14,n9)
& succ(n3) = n4
& n14 != X0
& n15 = sum(n19,n17)
& n1 = sum(n9,n13)
& succ(n6) = n7
& n8 = sum(n15,n14)
& n7 = sum(n12,n16)
& n16 = sum(n19,n18)
& n6 != n11
& n14 != n19
& n12 = sum(n5,n7)
& n12 = sum(n0,n12)
& n11 = sum(n5,n6)
& n15 != X0
& n5 != n19
& n13 = sum(n9,n4)
& n17 = sum(n20,n18)
& n7 != n11
& n9 != X0
& n4 = sum(n4,n0)
& n3 != n14
& n3 != n11
& n2 != n7
& n16 != X0
& n3 != n7
& n6 != n14
& n6 = sum(n19,n8)
& n8 = sum(n17,n12)
& n0 = sum(n19,n2)
& n1 = sum(n4,n18)
& n5 != X0
& n5 = sum(n17,n9)
& succ(n15) = n16
& n18 = sum(n4,n14)
& n9 = sum(n18,n12)
& n17 = sum(n15,n2)
& n7 = sum(n9,n19)
& n4 != n15
& n18 = sum(n8,n10)
& n10 != X0
& n11 = sum(n11,n0)
& ( n4 = X2
| n5 = X2
| n16 = X2
| n20 = X2
| n14 = X2
| n0 = X2
| n18 = X2
| n15 = X2
| n8 = X2
| n13 = X2
| n7 = X2
| n10 = X2
| n9 = X2
| n1 = X2
| n11 = X2
| n12 = X2
| n2 = X2
| n3 = X2
| n6 = X2
| n19 = X2
| n17 = X2 )
& n11 = sum(n20,n12)
& n19 = sum(n12,n7)
& n20 = sum(n18,n2)
& n0 = pred(n1)
& n18 = sum(n13,n5)
& n4 != n16
& n1 = sum(n18,n4)
& n0 != n9
& n1 = sum(n2,n20)
& n16 = sum(n14,n2)
& n5 = sum(n7,n19)
& n4 != n6
& n8 = sum(n11,n18)
& n7 != n12
& n17 = sum(n14,n3)
& n17 = sum(n1,n16)
& n16 = sum(n4,n12)
& n9 = sum(n16,n14)
& n5 = sum(n12,n14)
& n3 != n5
& n18 = sum(n6,n12)
& n15 = sum(n1,n14)
& n0 != n3
& n6 != n12
& n13 = sum(n14,n20)
& n0 = sum(n17,n4)
& n9 != n12
& succ(n4) = n5
& n2 = sum(n18,n5)
& n7 != n14
& n7 = sum(n0,n7)
& n9 = sum(n2,n7)
& n16 != n17
& n12 != n13
& n5 != n11
& n9 != n13
& n2 = sum(n2,n0)
& n5 = sum(n13,n13)
& n11 = sum(n3,n8)
& n1 != X0
& n9 = sum(n5,n4)
& n11 = sum(n8,n3)
& n2 != n20
& n2 = sum(n4,n19)
& succ(n11) = n12
& n9 != n11
& n19 = sum(n2,n17)
& n20 = sum(n13,n7)
& n0 != n11
& n8 = sum(n12,n17)
& n1 != n7
& n12 = sum(n20,n13)
& n9 = sum(n9,n0)
& n10 = sum(n8,n2)
& n10 = pred(n11)
& n12 != X0
& n13 != X0
& n13 = sum(n4,n9)
& n0 != n7
& n1 != n9
& n2 != n12
& n20 = sum(n14,n6)
& n17 = sum(n6,n11)
& n5 != n9
& n11 = sum(n19,n13)
& n4 != n11
& n18 = sum(n2,n16)
& n6 = sum(n8,n19)
& n10 != n11
& n7 != n8
& n11 = sum(n10,n1)
& n16 = sum(n12,n4)
& n14 != n15
& n5 != n16
& n7 = sum(n6,n1)
& n7 = sum(n10,n18)
& n17 = sum(n18,n20)
& n6 = sum(n18,n9)
& n4 = sum(n16,n9)
& succ(n1) = n2
& n9 = sum(n15,n15)
& n18 = sum(n14,n4)
& n0 = sum(n1,n20)
& n20 = sum(n6,n14)
& n12 = sum(n4,n8)
& n6 != n20
& n13 != n14
& n11 != X0
& n0 != n4
& n13 = sum(n11,n2)
& n16 = sum(n5,n11)
& n3 != X0
& n4 = sum(n7,n18)
& succ(n16) = n17 )
=> ( n16 = sum(n6,n10)
& n0 != n20
& n6 != n18
& n2 != n15
& n14 = sum(n7,n7)
& n2 = sum(n8,n15)
& n17 = sum(n9,n8)
& n5 = sum(n16,n10)
& n7 = sum(n20,n8)
& n15 = sum(n5,n10)
& n9 = sum(n3,n6)
& n3 = sum(n18,n6)
& n11 = sum(n12,n20)
& n5 != n13
& n4 = pred(n5)
& n20 = sum(n1,n19)
& n16 = sum(n1,n15)
& n7 = sum(n1,n6)
& n2 = sum(n20,n3)
& n10 = sum(n12,n19)
& n14 = sum(n10,n4)
& n9 = sum(n6,n3)
& n7 != n20
& n17 != n18
& n4 = sum(n14,n11)
& succ(n13) = n14
& n7 = sum(n4,n3)
& n3 = sum(n14,n10)
& n10 = sum(n6,n4)
& n1 = sum(n17,n5)
& n14 = sum(n15,n20)
& n7 != n19
& n12 = sum(n18,n15)
& n3 = sum(n7,n17)
& n9 != n20
& n17 = sum(n5,n12)
& n5 != n6
& n16 = sum(n20,n17)
& n10 = sum(n14,n17)
& n7 = sum(n17,n11)
& n10 = sum(n2,n8)
& n11 != n14
& n1 = pred(n2)
& n2 = sum(n0,n2)
& n1 != n12
& n11 != n17
& n9 = sum(n14,n16)
& n6 = sum(n15,n12)
& n1 != n13
& n15 != n17
& n3 = sum(n12,n12)
& n19 = sum(n1,n18)
& n10 = sum(n9,n1)
& n15 = sum(n0,n15)
& n2 != n11
& n13 = sum(n7,n6)
& n2 = sum(n16,n7)
& n18 = sum(n15,n3)
& n8 = sum(n19,n10)
& n20 != sK0
& n19 = sum(n0,n19)
& n16 = pred(n17)
& n0 = sum(n7,n14)
& n18 = sum(n5,n13)
& n18 = sum(n10,n8)
& n7 != n13
& n15 = sum(n16,n20)
& n6 = sum(n1,n5)
& n4 != n13
& n10 = sum(n15,n16)
& n1 != n20
& n18 = sum(n7,n11)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n3 != n9
& n10 != n20
& n8 = sum(n8,n0)
& n0 != n2
& n17 != n19
& n2 != n6
& n4 = sum(n3,n1)
& n8 != n18
& n3 = sum(n11,n13)
& n19 = sum(n11,n8)
& n20 = sum(n15,n5)
& n7 != sK0
& n11 = sum(n9,n2)
& n14 = sum(n5,n9)
& n2 != n18
& n1 != n3
& n1 = sum(n8,n14)
& n12 = sum(n10,n2)
& n10 != n19
& n16 = sum(n17,n20)
& n5 = sum(n11,n15)
& n15 = sum(n4,n11)
& n8 = sum(n0,n8)
& n5 = sum(n2,n3)
& n9 != n17
& n15 = sum(n8,n7)
& n17 = pred(n18)
& n13 = sum(n6,n7)
& n19 = sum(n4,n15)
& n9 = sum(n20,n10)
& n9 = sum(n7,n2)
& n3 = sum(n9,n15)
& n11 != n13
& n9 = sum(n11,n19)
& n17 = sum(n19,n19)
& n9 != n10
& n8 = sum(n4,n4)
& n11 != n18
& n10 = sum(n7,n3)
& n6 != n15
& n5 = sum(n20,n6)
& n12 = sum(n9,n3)
& n5 = sum(n14,n12)
& n6 = sum(n2,n4)
& n12 = sum(n2,n10)
& n15 = sum(n11,n4)
& n13 != n20
& n5 != n7
& n11 = sum(n15,n17)
& n11 = sum(n0,n11)
& n14 = sum(n1,n13)
& n12 != n15
& n10 != n13
& n11 = sum(n4,n7)
& n7 != n15
& n20 = sum(n5,n15)
& n20 = sum(n16,n4)
& n6 = sum(n0,n6)
& n17 = sum(n11,n6)
& n12 = sum(n8,n4)
& n0 != n13
& n18 = sum(n11,n7)
& n4 != n9
& n2 = sum(n10,n13)
& n3 != n15
& n6 = sum(n17,n10)
& n9 != n19
& n5 = pred(n6)
& n17 = sum(n2,n15)
& n5 = sum(n5,n0)
& n6 = sum(n5,n1)
& n4 != n18
& n18 = pred(n19)
& n14 = sum(n13,n1)
& n5 != n10
& n13 = sum(n16,n18)
& n10 = sum(n1,n9)
& succ(n14) = n15
& n14 = sum(n16,n19)
& succ(n18) = n19
& n18 = sum(n12,n6)
& n6 = sum(n9,n18)
& n1 != n19
& n8 != n16
& n18 = sum(n0,n18)
& n8 != n9
& n7 = sum(n7,n0)
& n15 = sum(n20,n16)
& succ(n2) = n3
& n5 != n20
& n11 = sum(n17,n15)
& n14 != n16
& n0 != n18
& n9 = sum(n4,n5)
& n2 = sum(n12,n11)
& n18 = sum(n9,n9)
& n18 != n20
& n7 = sum(n16,n12)
& n2 = sum(n7,n16)
& n20 = sum(n3,n17)
& n6 = sum(n20,n7)
& n18 = sum(n3,n15)
& n11 = sum(n6,n5)
& n16 = sum(n7,n9)
& n8 = sum(n18,n11)
& succ(n0) = n1
& succ(n10) = n11
& n4 = sum(n11,n14)
& n8 = pred(n9)
& n19 = sum(n18,n1)
& n2 = sum(n9,n14)
& n4 = sum(n2,n2)
& n8 != n12
& n20 = sum(n4,n16)
& n0 != n14
& n1 != n10
& n5 != n8
& n17 = sum(n12,n5)
& n1 != n6
& n4 != n20
& n6 = sum(n12,n15)
& n10 = sum(n4,n6)
& n4 != n17
& n19 = sum(n16,n3)
& n15 = sum(n10,n5)
& n1 != n8
& n1 = sum(n5,n17)
& n10 != n12
& n6 != n17
& n20 = sum(n9,n11)
& n4 != n10
& n10 != n14
& n15 = sum(n6,n9)
& n7 != n10
& n19 = sum(n10,n9)
& n1 = sum(n20,n2)
& n8 = sum(n20,n9)
& n8 != n15
& n1 = sum(n1,n0)
& n2 != sK0
& n0 != n6
& n0 != n10
& n20 = sum(n17,n3)
& succ(n8) = n9
& n16 = sum(n15,n1)
& n19 != n20
& n18 = sum(n16,n2)
& n5 != n12
& n1 = sum(n16,n6)
& n3 != n16
& n3 != n4
& n12 = sum(n13,n20)
& n6 != n19
& n3 != n12
& n3 != n19
& n10 = sum(n19,n12)
& n16 = sum(n8,n8)
& n0 != n12
& n4 = sum(n19,n6)
& n10 = sum(n10,n0)
& n4 = sum(n18,n7)
& n2 != n10
& n18 = sum(n17,n1)
& n7 = sum(n5,n2)
& n1 = sum(n0,n1)
& n14 != n18
& n9 = sum(n8,n1)
& n6 != n7
& n2 = pred(n3)
& n9 = sum(n17,n13)
& n4 = sum(n9,n16)
& n7 = sum(n8,n20)
& n15 = sum(n15,n0)
& n15 = sum(n13,n2)
& n5 != n17
& n4 != n8
& n20 = sum(n10,n10)
& n11 != n19
& n18 != sK0
& n0 = sum(n13,n8)
& n9 = sum(n12,n18)
& n5 = sum(n0,n5)
& n1 != n17
& n11 = sum(n7,n4)
& n1 = sum(n3,n19)
& n15 = sum(n2,n13)
& n7 != n18
& n11 = pred(n12)
& n9 = sum(n10,n20)
& n18 = sum(n1,n17)
& n13 != n18
& n2 = sum(n15,n8)
& n8 != n17
& n11 = sum(n18,n14)
& n4 = sum(n1,n3)
& n4 != sK0
& n17 = sum(n16,n1)
& n11 != n15
& n5 = sum(n1,n4)
& n12 != n17
& n13 = sum(n20,n14)
& n0 != n1
& n12 = sum(n14,n19)
& n11 = sum(n16,n16)
& n1 != n15
& n15 != n18
& n6 = sum(n10,n17)
& n2 != n13
& n14 = sum(n2,n12)
& n19 = sum(n13,n6)
& n4 = sum(n20,n5)
& n12 = sum(n6,n6)
& n5 != n14
& n12 = sum(n12,n0)
& n15 = sum(n18,n18)
& n15 = sum(n14,n1)
& n6 != sK0
& n4 = sum(n12,n13)
& n17 = sum(n7,n10)
& n1 = sum(n12,n10)
& n11 = sum(n14,n18)
& n1 = sum(n14,n8)
& n14 = sum(n0,n14)
& n14 = sum(n17,n18)
& n8 = sum(n1,n7)
& n6 = pred(n7)
& n5 = sum(n4,n1)
& n0 = sum(n5,n16)
& succ(n5) = n6
& n10 = sum(n18,n13)
& n15 != n16
& n14 = sum(n9,n5)
& n3 = sum(n10,n14)
& n0 != n5
& n7 != n17
& succ(n7) = n8
& n0 != n19
& n5 = sum(n18,n8)
& n12 != n14
& n10 = sum(n0,n10)
& n16 = sum(n10,n6)
& n0 = sum(n0,n0)
& n10 = sum(n16,n15)
& n8 = sum(n14,n15)
& n13 = sum(n8,n5)
& n2 != n17
& n8 = sum(n2,n6)
& n12 = sum(n3,n9)
& n13 = sum(n15,n19)
& n0 = sum(n9,n12)
& n16 = sum(n16,n0)
& n3 = sum(n0,n3)
& n12 = sum(n15,n18)
& n8 = sum(n3,n5)
& n11 = sum(n1,n10)
& n0 != sK0
& n0 = sum(n11,n10)
& n5 = sum(n3,n2)
& n13 = sum(n13,n0)
& succ(n9) = n10
& n6 != n16
& n15 = pred(n16)
& n5 = sum(n6,n20)
& n17 = sum(n0,n17)
& n6 != n10
& n20 = sum(n11,n9)
& n8 = sum(n6,n2)
& n13 = sum(n0,n13)
& n2 = sum(n11,n12)
& n1 != n14
& n12 = pred(n13)
& n4 = sum(n0,n4)
& n3 = sum(n5,n19)
& n0 != n15
& n0 = sum(n4,n17)
& n14 = sum(n18,n17)
& n16 != n18
& n4 != n19
& n0 = succ(n20)
& n6 != n9
& n3 = sum(n1,n2)
& n8 != n10
& n0 != n8
& n14 = sum(n11,n3)
& n19 = sum(n5,n14)
& succ(n17) = n18
& n4 = sum(n15,n10)
& n18 != n19
& n4 = sum(n8,n17)
& ( n4 = sK1
| n16 = sK1
| n8 = sK1
| n1 = sK1
| n18 = sK1
| n6 = sK1
| n12 = sK1
| n11 = sK1
| n19 = sK1
| n2 = sK1
| n9 = sK1
| n5 = sK1
| n20 = sK1
| n10 = sK1
| n17 = sK1
| n0 = sK1
| n14 = sK1
| n13 = sK1
| n7 = sK1
| n15 = sK1
| n3 = sK1 )
& n7 = sum(n14,n14)
& n2 = sum(n13,n10)
& n16 = sum(n2,n14)
& n8 != n20
& n19 = sum(n9,n10)
& n19 = sum(n8,n11)
& n9 != n14
& n13 != n19
& n9 = sum(n13,n17)
& n14 = sum(n14,n0)
& n14 != n17
& n16 != n20
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n5 = sum(n9,n17)
& n16 = sum(n9,n7)
& n20 = pred(n0)
& n2 = sum(n3,n20)
& n14 = sum(n8,n6)
& n7 = sum(n18,n10)
& n19 = sum(n7,n12)
& n13 = sum(n19,n15)
& n0 = sum(n12,n9)
& n0 = sum(n15,n6)
& n20 = sum(n20,n0)
& n11 != n20
& n3 = sum(n13,n11)
& n0 = sum(n8,n13)
& n1 = sum(n7,n15)
& n1 = sum(n6,n16)
& n17 = sum(n8,n9)
& n12 != n20
& n3 = sum(n17,n7)
& n3 = sum(n6,n18)
& n6 = sum(n16,n11)
& n5 = sum(n10,n16)
& succ(n12) = n13
& n3 != n17
& n15 = sum(n17,n19)
& n1 != n2
& n1 = sum(n13,n9)
& n2 != n16
& n8 != n11
& n10 = sum(n5,n5)
& n16 = sum(n13,n3)
& n0 = sum(n14,n7)
& n14 = sum(n6,n8)
& n9 = sum(n0,n9)
& n13 = sum(n18,n16)
& n17 != n20
& n0 = sum(n16,n5)
& n17 != sK0
& n8 != sK0
& n1 != n4
& n6 = sum(n7,n20)
& n14 = sum(n12,n2)
& n4 = sum(n13,n12)
& n8 = sum(n16,n13)
& n19 = sum(n19,n0)
& n2 = sum(n17,n6)
& n20 = sum(n2,n18)
& n9 != n15
& n16 = sum(n18,n19)
& n13 = sum(n12,n1)
& n15 != n20
& n3 = sum(n19,n5)
& n3 = sum(n2,n1)
& n9 = sum(n19,n11)
& n11 = sum(n13,n19)
& n17 = sum(n10,n7)
& n9 != n16
& n6 = sum(n3,n3)
& n3 != n18
& n3 != n20
& n3 != n8
& n19 = sum(n14,n5)
& n12 = sum(n7,n5)
& n11 = sum(n2,n9)
& n14 = sum(n19,n16)
& n4 = sum(n10,n15)
& n13 = pred(n14)
& n19 != sK0
& n7 = sum(n2,n5)
& n4 != n14
& n2 != n14
& n12 = sum(n19,n14)
& n12 = sum(n17,n16)
& n1 != n18
& n9 != n18
& n17 = sum(n3,n14)
& n7 != n9
& n12 = sum(n16,n17)
& n7 = sum(n3,n4)
& n10 = sum(n11,n20)
& n10 != n15
& n1 = sum(n15,n7)
& n0 = sum(n6,n15)
& n7 = sum(n11,n17)
& n6 = sum(n6,n0)
& n1 = sum(n19,n3)
& n5 = sum(n15,n11)
& n8 = sum(n7,n1)
& n17 = sum(n4,n13)
& n5 = sum(n8,n18)
& n20 = sum(n7,n13)
& n14 = sum(n20,n15)
& n1 != n11
& n3 = sum(n15,n9)
& n8 != n13
& succ(n19) = n20
& n13 != n15
& n12 = sum(n11,n1)
& n19 = sum(n15,n4)
& n7 = pred(n8)
& sK0 = sum(pred(sum(sK1,succ(sK2))),sum(sK2,pred(sum(sK1,sK2))))
& n6 = sum(n14,n13)
& n10 = sum(n20,n11)
& n8 = sum(n10,n19)
& n10 = sum(n13,n18)
& n2 != n19
& n3 != n6
& n4 != n7
& n16 = sum(n11,n5)
& n3 = sum(n16,n8)
& n11 != n16
& n18 = sum(n19,n20)
& n15 = sum(n12,n3)
& n9 = pred(n10)
& n4 = sum(n5,n20)
& n3 = sum(n3,n0)
& n17 = sum(n13,n4)
& n8 != n19
& n19 = sum(n6,n13)
& n12 != n16
& n2 = sum(n19,n4)
& n13 = sum(n2,n11)
& n8 = sum(n13,n16)
& n16 != n19
& n2 != n8
& n11 != n12
& n10 != n16
& n3 != n10
& n2 = sum(n6,n17)
& n13 = sum(n17,n17)
& n2 != n5
& n8 = sum(n9,n20)
& n5 = sum(n19,n7)
& n6 = sum(n4,n2)
& n14 != n20
& n20 = sum(n12,n8)
& n2 != n9
& n5 != n18
& n7 = sum(n15,n13)
& n13 = sum(n5,n8)
& n0 = sum(n3,n18)
& n1 = sum(n10,n12)
& n2 = sum(n1,n1)
& n3 != n13
& n8 != n14
& n0 != n16
& n7 = sum(n19,n9)
& n13 = sum(n1,n12)
& n10 = sum(n3,n7)
& n19 = sum(n20,n20)
& n20 = sum(n19,n1)
& n14 = sum(n4,n10)
& n13 = sum(n10,n3)
& n0 = sum(n2,n19)
& n6 = sum(n11,n16)
& n15 = sum(n9,n6)
& n6 != n8
& n19 = sum(n17,n2)
& n7 = sum(n13,n15)
& n4 = sum(n6,n19)
& n6 = sum(n13,n14)
& n0 != n17
& n6 != n13
& n3 = sum(n4,n20)
& n7 != n16
& n12 != n18
& n1 != n16
& n12 = sum(n1,n11)
& n13 = sum(n3,n10)
& n18 = sum(n18,n0)
& n20 = sum(n8,n12)
& n19 = sum(n3,n16)
& n0 = sum(n18,n3)
& n3 = sum(n8,n16)
& n17 = sum(n17,n0)
& n10 != n18
& n15 != n19
& n16 = sum(n3,n13)
& n12 != n19
& n3 = pred(n4)
& n14 = pred(n15)
& n4 = sum(n17,n8)
& n3 = sum(n20,n4)
& n4 != n5
& n0 = sum(n10,n11)
& n2 != n4
& n15 = sum(n7,n8)
& n0 = sum(n20,n1)
& n20 = sum(n0,n20)
& n5 != n15
& n2 = sum(n5,n18)
& n10 != n17
& n9 = sum(n1,n8)
& n13 != n17
& n13 != n16
& n4 != n12
& n19 = pred(n20)
& n1 != n5
& n8 = sum(n5,n3)
& n18 = sum(n20,n19)
& n10 = sum(n17,n14)
& n2 != n3
& n2 = sum(n14,n9)
& succ(n3) = n4
& n14 != sK0
& n15 = sum(n19,n17)
& n1 = sum(n9,n13)
& succ(n6) = n7
& n8 = sum(n15,n14)
& n7 = sum(n12,n16)
& n16 = sum(n19,n18)
& n6 != n11
& n14 != n19
& n12 = sum(n5,n7)
& n12 = sum(n0,n12)
& n11 = sum(n5,n6)
& n15 != sK0
& n5 != n19
& n13 = sum(n9,n4)
& n17 = sum(n20,n18)
& n7 != n11
& n9 != sK0
& n4 = sum(n4,n0)
& n3 != n14
& n3 != n11
& n2 != n7
& n16 != sK0
& n3 != n7
& n6 != n14
& n6 = sum(n19,n8)
& n8 = sum(n17,n12)
& n0 = sum(n19,n2)
& n1 = sum(n4,n18)
& n5 != sK0
& n5 = sum(n17,n9)
& succ(n15) = n16
& n18 = sum(n4,n14)
& n9 = sum(n18,n12)
& n17 = sum(n15,n2)
& n7 = sum(n9,n19)
& n4 != n15
& n18 = sum(n8,n10)
& n10 != sK0
& n11 = sum(n11,n0)
& ( n4 = sK2
| n5 = sK2
| n16 = sK2
| n20 = sK2
| n14 = sK2
| n0 = sK2
| n18 = sK2
| n15 = sK2
| n8 = sK2
| n13 = sK2
| n7 = sK2
| n10 = sK2
| n9 = sK2
| n1 = sK2
| n11 = sK2
| n12 = sK2
| n2 = sK2
| n3 = sK2
| n6 = sK2
| n19 = sK2
| n17 = sK2 )
& n11 = sum(n20,n12)
& n19 = sum(n12,n7)
& n20 = sum(n18,n2)
& n0 = pred(n1)
& n18 = sum(n13,n5)
& n4 != n16
& n1 = sum(n18,n4)
& n0 != n9
& n1 = sum(n2,n20)
& n16 = sum(n14,n2)
& n5 = sum(n7,n19)
& n4 != n6
& n8 = sum(n11,n18)
& n7 != n12
& n17 = sum(n14,n3)
& n17 = sum(n1,n16)
& n16 = sum(n4,n12)
& n9 = sum(n16,n14)
& n5 = sum(n12,n14)
& n3 != n5
& n18 = sum(n6,n12)
& n15 = sum(n1,n14)
& n0 != n3
& n6 != n12
& n13 = sum(n14,n20)
& n0 = sum(n17,n4)
& n9 != n12
& succ(n4) = n5
& n2 = sum(n18,n5)
& n7 != n14
& n7 = sum(n0,n7)
& n9 = sum(n2,n7)
& n16 != n17
& n12 != n13
& n5 != n11
& n9 != n13
& n2 = sum(n2,n0)
& n5 = sum(n13,n13)
& n11 = sum(n3,n8)
& n1 != sK0
& n9 = sum(n5,n4)
& n11 = sum(n8,n3)
& n2 != n20
& n2 = sum(n4,n19)
& succ(n11) = n12
& n9 != n11
& n19 = sum(n2,n17)
& n20 = sum(n13,n7)
& n0 != n11
& n8 = sum(n12,n17)
& n1 != n7
& n12 = sum(n20,n13)
& n9 = sum(n9,n0)
& n10 = sum(n8,n2)
& n10 = pred(n11)
& n12 != sK0
& n13 != sK0
& n13 = sum(n4,n9)
& n0 != n7
& n1 != n9
& n2 != n12
& n20 = sum(n14,n6)
& n17 = sum(n6,n11)
& n5 != n9
& n11 = sum(n19,n13)
& n4 != n11
& n18 = sum(n2,n16)
& n6 = sum(n8,n19)
& n10 != n11
& n7 != n8
& n11 = sum(n10,n1)
& n16 = sum(n12,n4)
& n14 != n15
& n5 != n16
& n7 = sum(n6,n1)
& n7 = sum(n10,n18)
& n17 = sum(n18,n20)
& n6 = sum(n18,n9)
& n4 = sum(n16,n9)
& succ(n1) = n2
& n9 = sum(n15,n15)
& n18 = sum(n14,n4)
& n0 = sum(n1,n20)
& n20 = sum(n6,n14)
& n12 = sum(n4,n8)
& n6 != n20
& n13 != n14
& n11 != sK0
& n0 != n4
& n13 = sum(n11,n2)
& n16 = sum(n5,n11)
& n3 != sK0
& n4 = sum(n7,n18)
& succ(n16) = n17 ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
? [X0,X1,X2] :
( n16 = sum(n6,n10)
& n0 != n20
& n6 != n18
& n2 != n15
& n14 = sum(n7,n7)
& n2 = sum(n8,n15)
& n17 = sum(n9,n8)
& n5 = sum(n16,n10)
& n7 = sum(n20,n8)
& n15 = sum(n5,n10)
& n9 = sum(n3,n6)
& n3 = sum(n18,n6)
& n11 = sum(n12,n20)
& n5 != n13
& n4 = pred(n5)
& n20 = sum(n1,n19)
& n16 = sum(n1,n15)
& n7 = sum(n1,n6)
& n2 = sum(n20,n3)
& n10 = sum(n12,n19)
& n14 = sum(n10,n4)
& n9 = sum(n6,n3)
& n7 != n20
& n17 != n18
& n4 = sum(n14,n11)
& succ(n13) = n14
& n7 = sum(n4,n3)
& n3 = sum(n14,n10)
& n10 = sum(n6,n4)
& n1 = sum(n17,n5)
& n14 = sum(n15,n20)
& n7 != n19
& n12 = sum(n18,n15)
& n3 = sum(n7,n17)
& n9 != n20
& n17 = sum(n5,n12)
& n5 != n6
& n16 = sum(n20,n17)
& n10 = sum(n14,n17)
& n7 = sum(n17,n11)
& n10 = sum(n2,n8)
& n11 != n14
& n1 = pred(n2)
& n2 = sum(n0,n2)
& n1 != n12
& n11 != n17
& n9 = sum(n14,n16)
& n6 = sum(n15,n12)
& n1 != n13
& n15 != n17
& n3 = sum(n12,n12)
& n19 = sum(n1,n18)
& n10 = sum(n9,n1)
& n15 = sum(n0,n15)
& n2 != n11
& n13 = sum(n7,n6)
& n2 = sum(n16,n7)
& n18 = sum(n15,n3)
& n8 = sum(n19,n10)
& n20 != X0
& n19 = sum(n0,n19)
& n16 = pred(n17)
& n0 = sum(n7,n14)
& n18 = sum(n5,n13)
& n18 = sum(n10,n8)
& n7 != n13
& n15 = sum(n16,n20)
& n6 = sum(n1,n5)
& n4 != n13
& n10 = sum(n15,n16)
& n1 != n20
& n18 = sum(n7,n11)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n3 != n9
& n10 != n20
& n8 = sum(n8,n0)
& n0 != n2
& n17 != n19
& n2 != n6
& n4 = sum(n3,n1)
& n8 != n18
& n3 = sum(n11,n13)
& n19 = sum(n11,n8)
& n20 = sum(n15,n5)
& n7 != X0
& n11 = sum(n9,n2)
& n14 = sum(n5,n9)
& n2 != n18
& n1 != n3
& n1 = sum(n8,n14)
& n12 = sum(n10,n2)
& n10 != n19
& n16 = sum(n17,n20)
& n5 = sum(n11,n15)
& n15 = sum(n4,n11)
& n8 = sum(n0,n8)
& n5 = sum(n2,n3)
& n9 != n17
& n15 = sum(n8,n7)
& n17 = pred(n18)
& n13 = sum(n6,n7)
& n19 = sum(n4,n15)
& n9 = sum(n20,n10)
& n9 = sum(n7,n2)
& n3 = sum(n9,n15)
& n11 != n13
& n9 = sum(n11,n19)
& n17 = sum(n19,n19)
& n9 != n10
& n8 = sum(n4,n4)
& n11 != n18
& n10 = sum(n7,n3)
& n6 != n15
& n5 = sum(n20,n6)
& n12 = sum(n9,n3)
& n5 = sum(n14,n12)
& n6 = sum(n2,n4)
& n12 = sum(n2,n10)
& n15 = sum(n11,n4)
& n13 != n20
& n5 != n7
& n11 = sum(n15,n17)
& n11 = sum(n0,n11)
& n14 = sum(n1,n13)
& n12 != n15
& n10 != n13
& n11 = sum(n4,n7)
& n7 != n15
& n20 = sum(n5,n15)
& n20 = sum(n16,n4)
& n6 = sum(n0,n6)
& n17 = sum(n11,n6)
& n12 = sum(n8,n4)
& n0 != n13
& n18 = sum(n11,n7)
& n4 != n9
& n2 = sum(n10,n13)
& n3 != n15
& n6 = sum(n17,n10)
& n9 != n19
& n5 = pred(n6)
& n17 = sum(n2,n15)
& n5 = sum(n5,n0)
& n6 = sum(n5,n1)
& n4 != n18
& n18 = pred(n19)
& n14 = sum(n13,n1)
& n5 != n10
& n13 = sum(n16,n18)
& n10 = sum(n1,n9)
& succ(n14) = n15
& n14 = sum(n16,n19)
& succ(n18) = n19
& n18 = sum(n12,n6)
& n6 = sum(n9,n18)
& n1 != n19
& n8 != n16
& n18 = sum(n0,n18)
& n8 != n9
& n7 = sum(n7,n0)
& n15 = sum(n20,n16)
& succ(n2) = n3
& n5 != n20
& n11 = sum(n17,n15)
& n14 != n16
& n0 != n18
& n9 = sum(n4,n5)
& n2 = sum(n12,n11)
& n18 = sum(n9,n9)
& n18 != n20
& n7 = sum(n16,n12)
& n2 = sum(n7,n16)
& n20 = sum(n3,n17)
& n6 = sum(n20,n7)
& n18 = sum(n3,n15)
& n11 = sum(n6,n5)
& n16 = sum(n7,n9)
& n8 = sum(n18,n11)
& succ(n0) = n1
& succ(n10) = n11
& n4 = sum(n11,n14)
& n8 = pred(n9)
& n19 = sum(n18,n1)
& n2 = sum(n9,n14)
& n4 = sum(n2,n2)
& n8 != n12
& n20 = sum(n4,n16)
& n0 != n14
& n1 != n10
& n5 != n8
& n17 = sum(n12,n5)
& n1 != n6
& n4 != n20
& n6 = sum(n12,n15)
& n10 = sum(n4,n6)
& n4 != n17
& n19 = sum(n16,n3)
& n15 = sum(n10,n5)
& n1 != n8
& n1 = sum(n5,n17)
& n10 != n12
& n6 != n17
& n20 = sum(n9,n11)
& n4 != n10
& n10 != n14
& n15 = sum(n6,n9)
& n7 != n10
& n19 = sum(n10,n9)
& n1 = sum(n20,n2)
& n8 = sum(n20,n9)
& n8 != n15
& n1 = sum(n1,n0)
& n2 != X0
& n0 != n6
& n0 != n10
& n20 = sum(n17,n3)
& succ(n8) = n9
& n16 = sum(n15,n1)
& n19 != n20
& n18 = sum(n16,n2)
& n5 != n12
& n1 = sum(n16,n6)
& n3 != n16
& n3 != n4
& n12 = sum(n13,n20)
& n6 != n19
& n3 != n12
& n3 != n19
& n10 = sum(n19,n12)
& n16 = sum(n8,n8)
& n0 != n12
& n4 = sum(n19,n6)
& n10 = sum(n10,n0)
& n4 = sum(n18,n7)
& n2 != n10
& n18 = sum(n17,n1)
& n7 = sum(n5,n2)
& n1 = sum(n0,n1)
& n14 != n18
& n9 = sum(n8,n1)
& n6 != n7
& n2 = pred(n3)
& n9 = sum(n17,n13)
& n4 = sum(n9,n16)
& n7 = sum(n8,n20)
& n15 = sum(n15,n0)
& n15 = sum(n13,n2)
& n5 != n17
& n4 != n8
& n20 = sum(n10,n10)
& n11 != n19
& n18 != X0
& n0 = sum(n13,n8)
& n9 = sum(n12,n18)
& n5 = sum(n0,n5)
& n1 != n17
& n11 = sum(n7,n4)
& n1 = sum(n3,n19)
& n15 = sum(n2,n13)
& n7 != n18
& n11 = pred(n12)
& n9 = sum(n10,n20)
& n18 = sum(n1,n17)
& n13 != n18
& n2 = sum(n15,n8)
& n8 != n17
& n11 = sum(n18,n14)
& n4 = sum(n1,n3)
& n4 != X0
& n17 = sum(n16,n1)
& n11 != n15
& n5 = sum(n1,n4)
& n12 != n17
& n13 = sum(n20,n14)
& n0 != n1
& n12 = sum(n14,n19)
& n11 = sum(n16,n16)
& n1 != n15
& n15 != n18
& n6 = sum(n10,n17)
& n2 != n13
& n14 = sum(n2,n12)
& n19 = sum(n13,n6)
& n4 = sum(n20,n5)
& n12 = sum(n6,n6)
& n5 != n14
& n12 = sum(n12,n0)
& n15 = sum(n18,n18)
& n15 = sum(n14,n1)
& n6 != X0
& n4 = sum(n12,n13)
& n17 = sum(n7,n10)
& n1 = sum(n12,n10)
& n11 = sum(n14,n18)
& n1 = sum(n14,n8)
& n14 = sum(n0,n14)
& n14 = sum(n17,n18)
& n8 = sum(n1,n7)
& n6 = pred(n7)
& n5 = sum(n4,n1)
& n0 = sum(n5,n16)
& succ(n5) = n6
& n10 = sum(n18,n13)
& n15 != n16
& n14 = sum(n9,n5)
& n3 = sum(n10,n14)
& n0 != n5
& n7 != n17
& succ(n7) = n8
& n0 != n19
& n5 = sum(n18,n8)
& n12 != n14
& n10 = sum(n0,n10)
& n16 = sum(n10,n6)
& n0 = sum(n0,n0)
& n10 = sum(n16,n15)
& n8 = sum(n14,n15)
& n13 = sum(n8,n5)
& n2 != n17
& n8 = sum(n2,n6)
& n12 = sum(n3,n9)
& n13 = sum(n15,n19)
& n0 = sum(n9,n12)
& n16 = sum(n16,n0)
& n3 = sum(n0,n3)
& n12 = sum(n15,n18)
& n8 = sum(n3,n5)
& n11 = sum(n1,n10)
& n0 != X0
& n0 = sum(n11,n10)
& n5 = sum(n3,n2)
& n13 = sum(n13,n0)
& succ(n9) = n10
& n6 != n16
& n15 = pred(n16)
& n5 = sum(n6,n20)
& n17 = sum(n0,n17)
& n6 != n10
& n20 = sum(n11,n9)
& n8 = sum(n6,n2)
& n13 = sum(n0,n13)
& n2 = sum(n11,n12)
& n1 != n14
& n12 = pred(n13)
& n4 = sum(n0,n4)
& n3 = sum(n5,n19)
& n0 != n15
& n0 = sum(n4,n17)
& n14 = sum(n18,n17)
& n16 != n18
& n4 != n19
& n0 = succ(n20)
& n6 != n9
& n3 = sum(n1,n2)
& n8 != n10
& n0 != n8
& n14 = sum(n11,n3)
& n19 = sum(n5,n14)
& succ(n17) = n18
& n4 = sum(n15,n10)
& n18 != n19
& n4 = sum(n8,n17)
& ( n4 = X1
| n16 = X1
| n8 = X1
| n1 = X1
| n18 = X1
| n6 = X1
| n12 = X1
| n11 = X1
| n19 = X1
| n2 = X1
| n9 = X1
| n5 = X1
| n20 = X1
| n10 = X1
| n17 = X1
| n0 = X1
| n14 = X1
| n13 = X1
| n7 = X1
| n15 = X1
| n3 = X1 )
& n7 = sum(n14,n14)
& n2 = sum(n13,n10)
& n16 = sum(n2,n14)
& n8 != n20
& n19 = sum(n9,n10)
& n19 = sum(n8,n11)
& n9 != n14
& n13 != n19
& n9 = sum(n13,n17)
& n14 = sum(n14,n0)
& n14 != n17
& n16 != n20
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n5 = sum(n9,n17)
& n16 = sum(n9,n7)
& n20 = pred(n0)
& n2 = sum(n3,n20)
& n14 = sum(n8,n6)
& n7 = sum(n18,n10)
& n19 = sum(n7,n12)
& n13 = sum(n19,n15)
& n0 = sum(n12,n9)
& n0 = sum(n15,n6)
& n20 = sum(n20,n0)
& n11 != n20
& n3 = sum(n13,n11)
& n0 = sum(n8,n13)
& n1 = sum(n7,n15)
& n1 = sum(n6,n16)
& n17 = sum(n8,n9)
& n12 != n20
& n3 = sum(n17,n7)
& n3 = sum(n6,n18)
& n6 = sum(n16,n11)
& n5 = sum(n10,n16)
& succ(n12) = n13
& n3 != n17
& n15 = sum(n17,n19)
& n1 != n2
& n1 = sum(n13,n9)
& n2 != n16
& n8 != n11
& n10 = sum(n5,n5)
& n16 = sum(n13,n3)
& n0 = sum(n14,n7)
& n14 = sum(n6,n8)
& n9 = sum(n0,n9)
& n13 = sum(n18,n16)
& n17 != n20
& n0 = sum(n16,n5)
& n17 != X0
& n8 != X0
& n1 != n4
& n6 = sum(n7,n20)
& n14 = sum(n12,n2)
& n4 = sum(n13,n12)
& n8 = sum(n16,n13)
& n19 = sum(n19,n0)
& n2 = sum(n17,n6)
& n20 = sum(n2,n18)
& n9 != n15
& n16 = sum(n18,n19)
& n13 = sum(n12,n1)
& n15 != n20
& n3 = sum(n19,n5)
& n3 = sum(n2,n1)
& n9 = sum(n19,n11)
& n11 = sum(n13,n19)
& n17 = sum(n10,n7)
& n9 != n16
& n6 = sum(n3,n3)
& n3 != n18
& n3 != n20
& n3 != n8
& n19 = sum(n14,n5)
& n12 = sum(n7,n5)
& n11 = sum(n2,n9)
& n14 = sum(n19,n16)
& n4 = sum(n10,n15)
& n13 = pred(n14)
& n19 != X0
& n7 = sum(n2,n5)
& n4 != n14
& n2 != n14
& n12 = sum(n19,n14)
& n12 = sum(n17,n16)
& n1 != n18
& n9 != n18
& n17 = sum(n3,n14)
& n7 != n9
& n12 = sum(n16,n17)
& n7 = sum(n3,n4)
& n10 = sum(n11,n20)
& n10 != n15
& n1 = sum(n15,n7)
& n0 = sum(n6,n15)
& n7 = sum(n11,n17)
& n6 = sum(n6,n0)
& n1 = sum(n19,n3)
& n5 = sum(n15,n11)
& n8 = sum(n7,n1)
& n17 = sum(n4,n13)
& n5 = sum(n8,n18)
& n20 = sum(n7,n13)
& n14 = sum(n20,n15)
& n1 != n11
& n3 = sum(n15,n9)
& n8 != n13
& succ(n19) = n20
& n13 != n15
& n12 = sum(n11,n1)
& n19 = sum(n15,n4)
& n7 = pred(n8)
& sum(pred(sum(X1,succ(X2))),sum(X2,pred(sum(X1,X2)))) = X0
& n6 = sum(n14,n13)
& n10 = sum(n20,n11)
& n8 = sum(n10,n19)
& n10 = sum(n13,n18)
& n2 != n19
& n3 != n6
& n4 != n7
& n16 = sum(n11,n5)
& n3 = sum(n16,n8)
& n11 != n16
& n18 = sum(n19,n20)
& n15 = sum(n12,n3)
& n9 = pred(n10)
& n4 = sum(n5,n20)
& n3 = sum(n3,n0)
& n17 = sum(n13,n4)
& n8 != n19
& n19 = sum(n6,n13)
& n12 != n16
& n2 = sum(n19,n4)
& n13 = sum(n2,n11)
& n8 = sum(n13,n16)
& n16 != n19
& n2 != n8
& n11 != n12
& n10 != n16
& n3 != n10
& n2 = sum(n6,n17)
& n13 = sum(n17,n17)
& n2 != n5
& n8 = sum(n9,n20)
& n5 = sum(n19,n7)
& n6 = sum(n4,n2)
& n14 != n20
& n20 = sum(n12,n8)
& n2 != n9
& n5 != n18
& n7 = sum(n15,n13)
& n13 = sum(n5,n8)
& n0 = sum(n3,n18)
& n1 = sum(n10,n12)
& n2 = sum(n1,n1)
& n3 != n13
& n8 != n14
& n0 != n16
& n7 = sum(n19,n9)
& n13 = sum(n1,n12)
& n10 = sum(n3,n7)
& n19 = sum(n20,n20)
& n20 = sum(n19,n1)
& n14 = sum(n4,n10)
& n13 = sum(n10,n3)
& n0 = sum(n2,n19)
& n6 = sum(n11,n16)
& n15 = sum(n9,n6)
& n6 != n8
& n19 = sum(n17,n2)
& n7 = sum(n13,n15)
& n4 = sum(n6,n19)
& n6 = sum(n13,n14)
& n0 != n17
& n6 != n13
& n3 = sum(n4,n20)
& n7 != n16
& n12 != n18
& n1 != n16
& n12 = sum(n1,n11)
& n13 = sum(n3,n10)
& n18 = sum(n18,n0)
& n20 = sum(n8,n12)
& n19 = sum(n3,n16)
& n0 = sum(n18,n3)
& n3 = sum(n8,n16)
& n17 = sum(n17,n0)
& n10 != n18
& n15 != n19
& n16 = sum(n3,n13)
& n12 != n19
& n3 = pred(n4)
& n14 = pred(n15)
& n4 = sum(n17,n8)
& n3 = sum(n20,n4)
& n4 != n5
& n0 = sum(n10,n11)
& n2 != n4
& n15 = sum(n7,n8)
& n0 = sum(n20,n1)
& n20 = sum(n0,n20)
& n5 != n15
& n2 = sum(n5,n18)
& n10 != n17
& n9 = sum(n1,n8)
& n13 != n17
& n13 != n16
& n4 != n12
& n19 = pred(n20)
& n1 != n5
& n8 = sum(n5,n3)
& n18 = sum(n20,n19)
& n10 = sum(n17,n14)
& n2 != n3
& n2 = sum(n14,n9)
& succ(n3) = n4
& n14 != X0
& n15 = sum(n19,n17)
& n1 = sum(n9,n13)
& succ(n6) = n7
& n8 = sum(n15,n14)
& n7 = sum(n12,n16)
& n16 = sum(n19,n18)
& n6 != n11
& n14 != n19
& n12 = sum(n5,n7)
& n12 = sum(n0,n12)
& n11 = sum(n5,n6)
& n15 != X0
& n5 != n19
& n13 = sum(n9,n4)
& n17 = sum(n20,n18)
& n7 != n11
& n9 != X0
& n4 = sum(n4,n0)
& n3 != n14
& n3 != n11
& n2 != n7
& n16 != X0
& n3 != n7
& n6 != n14
& n6 = sum(n19,n8)
& n8 = sum(n17,n12)
& n0 = sum(n19,n2)
& n1 = sum(n4,n18)
& n5 != X0
& n5 = sum(n17,n9)
& succ(n15) = n16
& n18 = sum(n4,n14)
& n9 = sum(n18,n12)
& n17 = sum(n15,n2)
& n7 = sum(n9,n19)
& n4 != n15
& n18 = sum(n8,n10)
& n10 != X0
& n11 = sum(n11,n0)
& ( n4 = X2
| n5 = X2
| n16 = X2
| n20 = X2
| n14 = X2
| n0 = X2
| n18 = X2
| n15 = X2
| n8 = X2
| n13 = X2
| n7 = X2
| n10 = X2
| n9 = X2
| n1 = X2
| n11 = X2
| n12 = X2
| n2 = X2
| n3 = X2
| n6 = X2
| n19 = X2
| n17 = X2 )
& n11 = sum(n20,n12)
& n19 = sum(n12,n7)
& n20 = sum(n18,n2)
& n0 = pred(n1)
& n18 = sum(n13,n5)
& n4 != n16
& n1 = sum(n18,n4)
& n0 != n9
& n1 = sum(n2,n20)
& n16 = sum(n14,n2)
& n5 = sum(n7,n19)
& n4 != n6
& n8 = sum(n11,n18)
& n7 != n12
& n17 = sum(n14,n3)
& n17 = sum(n1,n16)
& n16 = sum(n4,n12)
& n9 = sum(n16,n14)
& n5 = sum(n12,n14)
& n3 != n5
& n18 = sum(n6,n12)
& n15 = sum(n1,n14)
& n0 != n3
& n6 != n12
& n13 = sum(n14,n20)
& n0 = sum(n17,n4)
& n9 != n12
& succ(n4) = n5
& n2 = sum(n18,n5)
& n7 != n14
& n7 = sum(n0,n7)
& n9 = sum(n2,n7)
& n16 != n17
& n12 != n13
& n5 != n11
& n9 != n13
& n2 = sum(n2,n0)
& n5 = sum(n13,n13)
& n11 = sum(n3,n8)
& n1 != X0
& n9 = sum(n5,n4)
& n11 = sum(n8,n3)
& n2 != n20
& n2 = sum(n4,n19)
& succ(n11) = n12
& n9 != n11
& n19 = sum(n2,n17)
& n20 = sum(n13,n7)
& n0 != n11
& n8 = sum(n12,n17)
& n1 != n7
& n12 = sum(n20,n13)
& n9 = sum(n9,n0)
& n10 = sum(n8,n2)
& n10 = pred(n11)
& n12 != X0
& n13 != X0
& n13 = sum(n4,n9)
& n0 != n7
& n1 != n9
& n2 != n12
& n20 = sum(n14,n6)
& n17 = sum(n6,n11)
& n5 != n9
& n11 = sum(n19,n13)
& n4 != n11
& n18 = sum(n2,n16)
& n6 = sum(n8,n19)
& n10 != n11
& n7 != n8
& n11 = sum(n10,n1)
& n16 = sum(n12,n4)
& n14 != n15
& n5 != n16
& n7 = sum(n6,n1)
& n7 = sum(n10,n18)
& n17 = sum(n18,n20)
& n6 = sum(n18,n9)
& n4 = sum(n16,n9)
& succ(n1) = n2
& n9 = sum(n15,n15)
& n18 = sum(n14,n4)
& n0 = sum(n1,n20)
& n20 = sum(n6,n14)
& n12 = sum(n4,n8)
& n6 != n20
& n13 != n14
& n11 != X0
& n0 != n4
& n13 = sum(n11,n2)
& n16 = sum(n5,n11)
& n3 != X0
& n4 = sum(n7,n18)
& succ(n16) = n17 ),
inference(rectify,[],[f2]) ).
fof(f2,plain,
? [X1,X2,X0] :
( n16 = sum(n6,n10)
& n0 != n20
& n6 != n18
& n2 != n15
& n14 = sum(n7,n7)
& n2 = sum(n8,n15)
& n17 = sum(n9,n8)
& n5 = sum(n16,n10)
& n7 = sum(n20,n8)
& n15 = sum(n5,n10)
& n9 = sum(n3,n6)
& n3 = sum(n18,n6)
& n11 = sum(n12,n20)
& n5 != n13
& n4 = pred(n5)
& n20 = sum(n1,n19)
& n16 = sum(n1,n15)
& n7 = sum(n1,n6)
& n2 = sum(n20,n3)
& n10 = sum(n12,n19)
& n14 = sum(n10,n4)
& n9 = sum(n6,n3)
& n7 != n20
& n17 != n18
& n4 = sum(n14,n11)
& succ(n13) = n14
& n7 = sum(n4,n3)
& n3 = sum(n14,n10)
& n10 = sum(n6,n4)
& n1 = sum(n17,n5)
& n14 = sum(n15,n20)
& n7 != n19
& n12 = sum(n18,n15)
& n3 = sum(n7,n17)
& n9 != n20
& n17 = sum(n5,n12)
& n5 != n6
& n16 = sum(n20,n17)
& n10 = sum(n14,n17)
& n7 = sum(n17,n11)
& n10 = sum(n2,n8)
& n11 != n14
& n1 = pred(n2)
& n2 = sum(n0,n2)
& n1 != n12
& n11 != n17
& n9 = sum(n14,n16)
& n6 = sum(n15,n12)
& n1 != n13
& n15 != n17
& n3 = sum(n12,n12)
& n19 = sum(n1,n18)
& n10 = sum(n9,n1)
& n15 = sum(n0,n15)
& n2 != n11
& n13 = sum(n7,n6)
& n2 = sum(n16,n7)
& n18 = sum(n15,n3)
& n8 = sum(n19,n10)
& n20 != X1
& n19 = sum(n0,n19)
& n16 = pred(n17)
& n0 = sum(n7,n14)
& n18 = sum(n5,n13)
& n18 = sum(n10,n8)
& n7 != n13
& n15 = sum(n16,n20)
& n6 = sum(n1,n5)
& n4 != n13
& n10 = sum(n15,n16)
& n1 != n20
& n18 = sum(n7,n11)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n3 != n9
& n10 != n20
& n8 = sum(n8,n0)
& n0 != n2
& n17 != n19
& n2 != n6
& n4 = sum(n3,n1)
& n8 != n18
& n3 = sum(n11,n13)
& n19 = sum(n11,n8)
& n20 = sum(n15,n5)
& n7 != X1
& n11 = sum(n9,n2)
& n14 = sum(n5,n9)
& n2 != n18
& n1 != n3
& n1 = sum(n8,n14)
& n12 = sum(n10,n2)
& n10 != n19
& n16 = sum(n17,n20)
& n5 = sum(n11,n15)
& n15 = sum(n4,n11)
& n8 = sum(n0,n8)
& n5 = sum(n2,n3)
& n9 != n17
& n15 = sum(n8,n7)
& n17 = pred(n18)
& n13 = sum(n6,n7)
& n19 = sum(n4,n15)
& n9 = sum(n20,n10)
& n9 = sum(n7,n2)
& n3 = sum(n9,n15)
& n11 != n13
& n9 = sum(n11,n19)
& n17 = sum(n19,n19)
& n9 != n10
& n8 = sum(n4,n4)
& n11 != n18
& n10 = sum(n7,n3)
& n6 != n15
& n5 = sum(n20,n6)
& n12 = sum(n9,n3)
& n5 = sum(n14,n12)
& n6 = sum(n2,n4)
& n12 = sum(n2,n10)
& n15 = sum(n11,n4)
& n13 != n20
& n5 != n7
& n11 = sum(n15,n17)
& n11 = sum(n0,n11)
& n14 = sum(n1,n13)
& n12 != n15
& n10 != n13
& n11 = sum(n4,n7)
& n7 != n15
& n20 = sum(n5,n15)
& n20 = sum(n16,n4)
& n6 = sum(n0,n6)
& n17 = sum(n11,n6)
& n12 = sum(n8,n4)
& n0 != n13
& n18 = sum(n11,n7)
& n4 != n9
& n2 = sum(n10,n13)
& n3 != n15
& n6 = sum(n17,n10)
& n9 != n19
& n5 = pred(n6)
& n17 = sum(n2,n15)
& n5 = sum(n5,n0)
& n6 = sum(n5,n1)
& n4 != n18
& n18 = pred(n19)
& n14 = sum(n13,n1)
& n5 != n10
& n13 = sum(n16,n18)
& n10 = sum(n1,n9)
& succ(n14) = n15
& n14 = sum(n16,n19)
& succ(n18) = n19
& n18 = sum(n12,n6)
& n6 = sum(n9,n18)
& n1 != n19
& n8 != n16
& n18 = sum(n0,n18)
& n8 != n9
& n7 = sum(n7,n0)
& n15 = sum(n20,n16)
& succ(n2) = n3
& n5 != n20
& n11 = sum(n17,n15)
& n14 != n16
& n0 != n18
& n9 = sum(n4,n5)
& n2 = sum(n12,n11)
& n18 = sum(n9,n9)
& n18 != n20
& n7 = sum(n16,n12)
& n2 = sum(n7,n16)
& n20 = sum(n3,n17)
& n6 = sum(n20,n7)
& n18 = sum(n3,n15)
& n11 = sum(n6,n5)
& n16 = sum(n7,n9)
& n8 = sum(n18,n11)
& succ(n0) = n1
& succ(n10) = n11
& n4 = sum(n11,n14)
& n8 = pred(n9)
& n19 = sum(n18,n1)
& n2 = sum(n9,n14)
& n4 = sum(n2,n2)
& n8 != n12
& n20 = sum(n4,n16)
& n0 != n14
& n1 != n10
& n5 != n8
& n17 = sum(n12,n5)
& n1 != n6
& n4 != n20
& n6 = sum(n12,n15)
& n10 = sum(n4,n6)
& n4 != n17
& n19 = sum(n16,n3)
& n15 = sum(n10,n5)
& n1 != n8
& n1 = sum(n5,n17)
& n10 != n12
& n6 != n17
& n20 = sum(n9,n11)
& n4 != n10
& n10 != n14
& n15 = sum(n6,n9)
& n7 != n10
& n19 = sum(n10,n9)
& n1 = sum(n20,n2)
& n8 = sum(n20,n9)
& n8 != n15
& n1 = sum(n1,n0)
& n2 != X1
& n0 != n6
& n0 != n10
& n20 = sum(n17,n3)
& succ(n8) = n9
& n16 = sum(n15,n1)
& n19 != n20
& n18 = sum(n16,n2)
& n5 != n12
& n1 = sum(n16,n6)
& n3 != n16
& n3 != n4
& n12 = sum(n13,n20)
& n6 != n19
& n3 != n12
& n3 != n19
& n10 = sum(n19,n12)
& n16 = sum(n8,n8)
& n0 != n12
& n4 = sum(n19,n6)
& n10 = sum(n10,n0)
& n4 = sum(n18,n7)
& n2 != n10
& n18 = sum(n17,n1)
& n7 = sum(n5,n2)
& n1 = sum(n0,n1)
& n14 != n18
& n9 = sum(n8,n1)
& n6 != n7
& n2 = pred(n3)
& n9 = sum(n17,n13)
& n4 = sum(n9,n16)
& n7 = sum(n8,n20)
& n15 = sum(n15,n0)
& n15 = sum(n13,n2)
& n5 != n17
& n4 != n8
& n20 = sum(n10,n10)
& n11 != n19
& n18 != X1
& n0 = sum(n13,n8)
& n9 = sum(n12,n18)
& n5 = sum(n0,n5)
& n1 != n17
& n11 = sum(n7,n4)
& n1 = sum(n3,n19)
& n15 = sum(n2,n13)
& n7 != n18
& n11 = pred(n12)
& n9 = sum(n10,n20)
& n18 = sum(n1,n17)
& n13 != n18
& n2 = sum(n15,n8)
& n8 != n17
& n11 = sum(n18,n14)
& n4 = sum(n1,n3)
& n4 != X1
& n17 = sum(n16,n1)
& n11 != n15
& n5 = sum(n1,n4)
& n12 != n17
& n13 = sum(n20,n14)
& n0 != n1
& n12 = sum(n14,n19)
& n11 = sum(n16,n16)
& n1 != n15
& n15 != n18
& n6 = sum(n10,n17)
& n2 != n13
& n14 = sum(n2,n12)
& n19 = sum(n13,n6)
& n4 = sum(n20,n5)
& n12 = sum(n6,n6)
& n5 != n14
& n12 = sum(n12,n0)
& n15 = sum(n18,n18)
& n15 = sum(n14,n1)
& n6 != X1
& n4 = sum(n12,n13)
& n17 = sum(n7,n10)
& n1 = sum(n12,n10)
& n11 = sum(n14,n18)
& n1 = sum(n14,n8)
& n14 = sum(n0,n14)
& n14 = sum(n17,n18)
& n8 = sum(n1,n7)
& n6 = pred(n7)
& n5 = sum(n4,n1)
& n0 = sum(n5,n16)
& succ(n5) = n6
& n10 = sum(n18,n13)
& n15 != n16
& n14 = sum(n9,n5)
& n3 = sum(n10,n14)
& n0 != n5
& n7 != n17
& succ(n7) = n8
& n0 != n19
& n5 = sum(n18,n8)
& n12 != n14
& n10 = sum(n0,n10)
& n16 = sum(n10,n6)
& n0 = sum(n0,n0)
& n10 = sum(n16,n15)
& n8 = sum(n14,n15)
& n13 = sum(n8,n5)
& n2 != n17
& n8 = sum(n2,n6)
& n12 = sum(n3,n9)
& n13 = sum(n15,n19)
& n0 = sum(n9,n12)
& n16 = sum(n16,n0)
& n3 = sum(n0,n3)
& n12 = sum(n15,n18)
& n8 = sum(n3,n5)
& n11 = sum(n1,n10)
& n0 != X1
& n0 = sum(n11,n10)
& n5 = sum(n3,n2)
& n13 = sum(n13,n0)
& succ(n9) = n10
& n6 != n16
& n15 = pred(n16)
& n5 = sum(n6,n20)
& n17 = sum(n0,n17)
& n6 != n10
& n20 = sum(n11,n9)
& n8 = sum(n6,n2)
& n13 = sum(n0,n13)
& n2 = sum(n11,n12)
& n1 != n14
& n12 = pred(n13)
& n4 = sum(n0,n4)
& n3 = sum(n5,n19)
& n0 != n15
& n0 = sum(n4,n17)
& n14 = sum(n18,n17)
& n16 != n18
& n4 != n19
& n0 = succ(n20)
& n6 != n9
& n3 = sum(n1,n2)
& n8 != n10
& n0 != n8
& n14 = sum(n11,n3)
& n19 = sum(n5,n14)
& succ(n17) = n18
& n4 = sum(n15,n10)
& n18 != n19
& n4 = sum(n8,n17)
& ( n4 = X2
| n16 = X2
| n8 = X2
| n1 = X2
| n18 = X2
| n6 = X2
| n12 = X2
| n11 = X2
| n19 = X2
| n2 = X2
| n9 = X2
| n5 = X2
| n20 = X2
| n10 = X2
| n17 = X2
| n0 = X2
| n14 = X2
| n13 = X2
| n7 = X2
| n15 = X2
| n3 = X2 )
& n7 = sum(n14,n14)
& n2 = sum(n13,n10)
& n16 = sum(n2,n14)
& n8 != n20
& n19 = sum(n9,n10)
& n19 = sum(n8,n11)
& n9 != n14
& n13 != n19
& n9 = sum(n13,n17)
& n14 = sum(n14,n0)
& n14 != n17
& n16 != n20
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n5 = sum(n9,n17)
& n16 = sum(n9,n7)
& n20 = pred(n0)
& n2 = sum(n3,n20)
& n14 = sum(n8,n6)
& n7 = sum(n18,n10)
& n19 = sum(n7,n12)
& n13 = sum(n19,n15)
& n0 = sum(n12,n9)
& n0 = sum(n15,n6)
& n20 = sum(n20,n0)
& n11 != n20
& n3 = sum(n13,n11)
& n0 = sum(n8,n13)
& n1 = sum(n7,n15)
& n1 = sum(n6,n16)
& n17 = sum(n8,n9)
& n12 != n20
& n3 = sum(n17,n7)
& n3 = sum(n6,n18)
& n6 = sum(n16,n11)
& n5 = sum(n10,n16)
& succ(n12) = n13
& n3 != n17
& n15 = sum(n17,n19)
& n1 != n2
& n1 = sum(n13,n9)
& n2 != n16
& n8 != n11
& n10 = sum(n5,n5)
& n16 = sum(n13,n3)
& n0 = sum(n14,n7)
& n14 = sum(n6,n8)
& n9 = sum(n0,n9)
& n13 = sum(n18,n16)
& n17 != n20
& n0 = sum(n16,n5)
& n17 != X1
& n8 != X1
& n1 != n4
& n6 = sum(n7,n20)
& n14 = sum(n12,n2)
& n4 = sum(n13,n12)
& n8 = sum(n16,n13)
& n19 = sum(n19,n0)
& n2 = sum(n17,n6)
& n20 = sum(n2,n18)
& n9 != n15
& n16 = sum(n18,n19)
& n13 = sum(n12,n1)
& n15 != n20
& n3 = sum(n19,n5)
& n3 = sum(n2,n1)
& n9 = sum(n19,n11)
& n11 = sum(n13,n19)
& n17 = sum(n10,n7)
& n9 != n16
& n6 = sum(n3,n3)
& n3 != n18
& n3 != n20
& n3 != n8
& n19 = sum(n14,n5)
& n12 = sum(n7,n5)
& n11 = sum(n2,n9)
& n14 = sum(n19,n16)
& n4 = sum(n10,n15)
& n13 = pred(n14)
& n19 != X1
& n7 = sum(n2,n5)
& n4 != n14
& n2 != n14
& n12 = sum(n19,n14)
& n12 = sum(n17,n16)
& n1 != n18
& n9 != n18
& n17 = sum(n3,n14)
& n7 != n9
& n12 = sum(n16,n17)
& n7 = sum(n3,n4)
& n10 = sum(n11,n20)
& n10 != n15
& n1 = sum(n15,n7)
& n0 = sum(n6,n15)
& n7 = sum(n11,n17)
& n6 = sum(n6,n0)
& n1 = sum(n19,n3)
& n5 = sum(n15,n11)
& n8 = sum(n7,n1)
& n17 = sum(n4,n13)
& n5 = sum(n8,n18)
& n20 = sum(n7,n13)
& n14 = sum(n20,n15)
& n1 != n11
& n3 = sum(n15,n9)
& n8 != n13
& succ(n19) = n20
& n13 != n15
& n12 = sum(n11,n1)
& n19 = sum(n15,n4)
& n7 = pred(n8)
& sum(pred(sum(X2,succ(X0))),sum(X0,pred(sum(X2,X0)))) = X1
& n6 = sum(n14,n13)
& n10 = sum(n20,n11)
& n8 = sum(n10,n19)
& n10 = sum(n13,n18)
& n2 != n19
& n3 != n6
& n4 != n7
& n16 = sum(n11,n5)
& n3 = sum(n16,n8)
& n11 != n16
& n18 = sum(n19,n20)
& n15 = sum(n12,n3)
& n9 = pred(n10)
& n4 = sum(n5,n20)
& n3 = sum(n3,n0)
& n17 = sum(n13,n4)
& n8 != n19
& n19 = sum(n6,n13)
& n12 != n16
& n2 = sum(n19,n4)
& n13 = sum(n2,n11)
& n8 = sum(n13,n16)
& n16 != n19
& n2 != n8
& n11 != n12
& n10 != n16
& n3 != n10
& n2 = sum(n6,n17)
& n13 = sum(n17,n17)
& n2 != n5
& n8 = sum(n9,n20)
& n5 = sum(n19,n7)
& n6 = sum(n4,n2)
& n14 != n20
& n20 = sum(n12,n8)
& n2 != n9
& n5 != n18
& n7 = sum(n15,n13)
& n13 = sum(n5,n8)
& n0 = sum(n3,n18)
& n1 = sum(n10,n12)
& n2 = sum(n1,n1)
& n3 != n13
& n8 != n14
& n0 != n16
& n7 = sum(n19,n9)
& n13 = sum(n1,n12)
& n10 = sum(n3,n7)
& n19 = sum(n20,n20)
& n20 = sum(n19,n1)
& n14 = sum(n4,n10)
& n13 = sum(n10,n3)
& n0 = sum(n2,n19)
& n6 = sum(n11,n16)
& n15 = sum(n9,n6)
& n6 != n8
& n19 = sum(n17,n2)
& n7 = sum(n13,n15)
& n4 = sum(n6,n19)
& n6 = sum(n13,n14)
& n0 != n17
& n6 != n13
& n3 = sum(n4,n20)
& n7 != n16
& n12 != n18
& n1 != n16
& n12 = sum(n1,n11)
& n13 = sum(n3,n10)
& n18 = sum(n18,n0)
& n20 = sum(n8,n12)
& n19 = sum(n3,n16)
& n0 = sum(n18,n3)
& n3 = sum(n8,n16)
& n17 = sum(n17,n0)
& n10 != n18
& n15 != n19
& n16 = sum(n3,n13)
& n12 != n19
& n3 = pred(n4)
& n14 = pred(n15)
& n4 = sum(n17,n8)
& n3 = sum(n20,n4)
& n4 != n5
& n0 = sum(n10,n11)
& n2 != n4
& n15 = sum(n7,n8)
& n0 = sum(n20,n1)
& n20 = sum(n0,n20)
& n5 != n15
& n2 = sum(n5,n18)
& n10 != n17
& n9 = sum(n1,n8)
& n13 != n17
& n13 != n16
& n4 != n12
& n19 = pred(n20)
& n1 != n5
& n8 = sum(n5,n3)
& n18 = sum(n20,n19)
& n10 = sum(n17,n14)
& n2 != n3
& n2 = sum(n14,n9)
& succ(n3) = n4
& n14 != X1
& n15 = sum(n19,n17)
& n1 = sum(n9,n13)
& succ(n6) = n7
& n8 = sum(n15,n14)
& n7 = sum(n12,n16)
& n16 = sum(n19,n18)
& n6 != n11
& n14 != n19
& n12 = sum(n5,n7)
& n12 = sum(n0,n12)
& n11 = sum(n5,n6)
& n15 != X1
& n5 != n19
& n13 = sum(n9,n4)
& n17 = sum(n20,n18)
& n7 != n11
& n9 != X1
& n4 = sum(n4,n0)
& n3 != n14
& n3 != n11
& n2 != n7
& n16 != X1
& n3 != n7
& n6 != n14
& n6 = sum(n19,n8)
& n8 = sum(n17,n12)
& n0 = sum(n19,n2)
& n1 = sum(n4,n18)
& n5 != X1
& n5 = sum(n17,n9)
& succ(n15) = n16
& n18 = sum(n4,n14)
& n9 = sum(n18,n12)
& n17 = sum(n15,n2)
& n7 = sum(n9,n19)
& n4 != n15
& n18 = sum(n8,n10)
& n10 != X1
& n11 = sum(n11,n0)
& ( n4 = X0
| n5 = X0
| n16 = X0
| n20 = X0
| n14 = X0
| n0 = X0
| n18 = X0
| n15 = X0
| n8 = X0
| n13 = X0
| n7 = X0
| n10 = X0
| n9 = X0
| n1 = X0
| n11 = X0
| n12 = X0
| n2 = X0
| n3 = X0
| n6 = X0
| n19 = X0
| n17 = X0 )
& n11 = sum(n20,n12)
& n19 = sum(n12,n7)
& n20 = sum(n18,n2)
& n0 = pred(n1)
& n18 = sum(n13,n5)
& n4 != n16
& n1 = sum(n18,n4)
& n0 != n9
& n1 = sum(n2,n20)
& n16 = sum(n14,n2)
& n5 = sum(n7,n19)
& n4 != n6
& n8 = sum(n11,n18)
& n7 != n12
& n17 = sum(n14,n3)
& n17 = sum(n1,n16)
& n16 = sum(n4,n12)
& n9 = sum(n16,n14)
& n5 = sum(n12,n14)
& n3 != n5
& n18 = sum(n6,n12)
& n15 = sum(n1,n14)
& n0 != n3
& n6 != n12
& n13 = sum(n14,n20)
& n0 = sum(n17,n4)
& n9 != n12
& succ(n4) = n5
& n2 = sum(n18,n5)
& n7 != n14
& n7 = sum(n0,n7)
& n9 = sum(n2,n7)
& n16 != n17
& n12 != n13
& n5 != n11
& n9 != n13
& n2 = sum(n2,n0)
& n5 = sum(n13,n13)
& n11 = sum(n3,n8)
& n1 != X1
& n9 = sum(n5,n4)
& n11 = sum(n8,n3)
& n2 != n20
& n2 = sum(n4,n19)
& succ(n11) = n12
& n9 != n11
& n19 = sum(n2,n17)
& n20 = sum(n13,n7)
& n0 != n11
& n8 = sum(n12,n17)
& n1 != n7
& n12 = sum(n20,n13)
& n9 = sum(n9,n0)
& n10 = sum(n8,n2)
& n10 = pred(n11)
& n12 != X1
& n13 != X1
& n13 = sum(n4,n9)
& n0 != n7
& n1 != n9
& n2 != n12
& n20 = sum(n14,n6)
& n17 = sum(n6,n11)
& n5 != n9
& n11 = sum(n19,n13)
& n4 != n11
& n18 = sum(n2,n16)
& n6 = sum(n8,n19)
& n10 != n11
& n7 != n8
& n11 = sum(n10,n1)
& n16 = sum(n12,n4)
& n14 != n15
& n5 != n16
& n7 = sum(n6,n1)
& n7 = sum(n10,n18)
& n17 = sum(n18,n20)
& n6 = sum(n18,n9)
& n4 = sum(n16,n9)
& succ(n1) = n2
& n9 = sum(n15,n15)
& n18 = sum(n14,n4)
& n0 = sum(n1,n20)
& n20 = sum(n6,n14)
& n12 = sum(n4,n8)
& n6 != n20
& n13 != n14
& n11 != X1
& n0 != n4
& n13 = sum(n11,n2)
& n16 = sum(n5,n11)
& n3 != X1
& n4 = sum(n7,n18)
& succ(n16) = n17 ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
? [X1,X2,X0] :
( n4 = sum(n3,n1)
& n8 = sum(n12,n17)
& n4 != n5
& n16 = sum(n5,n11)
& n14 = sum(n18,n17)
& n6 = sum(n12,n15)
& n16 != n18
& n13 = sum(n6,n7)
& n10 = sum(n2,n8)
& n0 = sum(n18,n3)
& n13 = sum(n10,n3)
& n20 = sum(n2,n18)
& n12 != n17
& n2 != n12
& n8 = sum(n5,n3)
& n18 = sum(n2,n16)
& n17 = sum(n17,n0)
& n0 != n16
& n14 = sum(n7,n7)
& n14 != n19
& n4 = sum(n11,n14)
& n1 != n15
& n18 = sum(n5,n13)
& n8 != n20
& n1 = sum(n2,n20)
& n9 = sum(n10,n20)
& n17 = sum(n16,n1)
& n7 != n13
& n19 != X2
& n5 = sum(n6,n20)
& n5 = sum(n0,n5)
& n5 != n12
& n19 = sum(n16,n3)
& n8 = sum(n13,n16)
& n5 != n10
& n20 = sum(n14,n6)
& n15 = sum(n10,n5)
& n3 != n9
& n19 = sum(n14,n5)
& n4 = sum(n6,n19)
& n0 != n6
& n14 = sum(n14,n0)
& n9 = sum(n6,n3)
& n14 != n17
& n13 != n16
& n19 = sum(n5,n14)
& n6 != X2
& n5 = sum(n16,n10)
& n11 != n15
& n16 = sum(n17,n20)
& n17 = sum(n1,n16)
& n13 != n19
& n17 = sum(n10,n7)
& n18 = sum(n3,n15)
& n7 = sum(n19,n9)
& succ(n9) = n10
& n7 = sum(n13,n15)
& n4 != n17
& n0 != n17
& n12 = sum(n9,n3)
& n3 = sum(n19,n5)
& n15 = sum(n0,n15)
& n19 = sum(n17,n2)
& n6 = sum(n8,n19)
& n4 = sum(n14,n11)
& n5 = sum(n8,n18)
& n0 != n18
& n0 != n10
& n17 = sum(n11,n6)
& n14 = sum(n5,n9)
& n5 = sum(n2,n3)
& n0 = sum(n12,n9)
& n4 = sum(n2,n2)
& n18 = sum(n16,n2)
& n9 = sum(n19,n11)
& n0 != n4
& n4 = sum(n15,n10)
& n12 = sum(n5,n7)
& n3 != n11
& succ(n16) = n17
& n11 != n14
& n11 = sum(n2,n9)
& n1 != n11
& n14 = sum(n11,n3)
& n19 = sum(n20,n20)
& n12 = sum(n16,n17)
& n8 = sum(n11,n18)
& n13 != n15
& n3 = sum(n18,n6)
& n8 = sum(n10,n19)
& n20 = sum(n18,n2)
& n4 = sum(n8,n17)
& n2 = sum(n5,n18)
& succ(n10) = n11
& n0 = sum(n11,n10)
& n1 != n8
& n10 != n18
& n12 = sum(n12,n0)
& n2 = sum(n11,n12)
& n9 = sum(n13,n17)
& n9 = sum(n4,n5)
& n19 = sum(n9,n10)
& n6 = sum(n20,n7)
& n20 = sum(n12,n8)
& n0 = pred(n1)
& n14 = sum(n13,n1)
& n17 != X2
& n0 != n2
& n18 = sum(n4,n14)
& n7 = sum(n18,n10)
& n11 != n16
& n0 = sum(n16,n5)
& n13 = sum(n11,n2)
& n14 = sum(n19,n16)
& n9 != n11
& n0 != n9
& n13 = sum(n18,n16)
& n15 != n17
& n2 != n11
& n16 = sum(n3,n13)
& n13 = sum(n5,n8)
& n4 != n12
& n19 = sum(n15,n4)
& n2 = sum(n16,n7)
& n11 != n13
& n17 = sum(n2,n15)
& n2 = sum(n15,n8)
& n20 = sum(n13,n7)
& n19 = sum(n2,n17)
& n2 = sum(n9,n14)
& n9 = sum(n5,n4)
& n11 != X2
& n8 = sum(n2,n6)
& n4 = sum(n9,n16)
& n16 = sum(n13,n3)
& n14 != n15
& n8 = sum(n18,n11)
& n14 = sum(n20,n15)
& n5 != n9
& n18 = sum(n10,n8)
& n13 = sum(n0,n13)
& n13 = sum(n7,n6)
& n7 != n15
& n7 = sum(n4,n3)
& n7 = sum(n1,n6)
& n9 != n14
& n0 != n14
& n3 = sum(n4,n20)
& n4 != X2
& n15 = sum(n15,n0)
& n14 = sum(n2,n12)
& n5 = sum(n7,n19)
& n4 = sum(n16,n9)
& n5 != n20
& n1 = sum(n0,n1)
& n3 = sum(n8,n16)
& n1 = sum(n14,n8)
& n4 != n16
& n10 != n17
& n6 = sum(n15,n12)
& n1 = sum(n20,n2)
& succ(n19) = n20
& n0 != n20
& n16 = sum(n4,n12)
& n4 != n11
& n5 != n6
& n16 = sum(n6,n10)
& n4 = sum(n10,n15)
& n9 != n10
& n1 = sum(n19,n3)
& n11 = sum(n0,n11)
& n9 = sum(n0,n9)
& succ(n15) = n16
& n11 != n20
& n19 = sum(n19,n0)
& n10 = sum(n18,n13)
& n16 != X2
& n5 != n7
& n1 = sum(n3,n19)
& n1 = sum(n17,n5)
& n4 != n14
& n7 = sum(n17,n11)
& n18 = sum(n0,n18)
& n3 = sum(n6,n18)
& n6 != n13
& n12 = sum(n13,n20)
& n19 = sum(n18,n1)
& n13 = sum(n4,n9)
& n18 = sum(n9,n9)
& n6 = sum(n14,n13)
& n8 = sum(n3,n5)
& n2 != n15
& n19 = sum(n12,n7)
& n1 != n6
& n16 = sum(n18,n19)
& n13 = sum(n14,n20)
& n6 = sum(n1,n5)
& n8 = pred(n9)
& n10 = sum(n9,n1)
& n0 = sum(n7,n14)
& n10 != n11
& n17 = sum(n18,n20)
& n16 = sum(n20,n17)
& n10 = sum(n10,n0)
& n0 = sum(n4,n17)
& n0 = sum(n20,n1)
& n2 != n16
& n7 != n12
& n19 = sum(n3,n16)
& n13 = sum(n13,n0)
& n5 = sum(n15,n11)
& n0 = sum(n19,n2)
& n5 = sum(n19,n7)
& n5 != n8
& n19 = sum(n7,n12)
& n8 = sum(n4,n4)
& n5 = sum(n14,n12)
& n6 = sum(n6,n0)
& n0 != n1
& n12 = sum(n4,n8)
& n0 = sum(n15,n6)
& n20 = sum(n17,n3)
& n18 != X2
& n15 != n19
& n8 = sum(n7,n1)
& n14 = sum(n6,n8)
& n16 = sum(n9,n7)
& n6 != n8
& n6 = sum(n17,n10)
& n0 = sum(n6,n15)
& n5 = sum(n13,n13)
& n12 != n19
& n11 = sum(n17,n15)
& n9 != n15
& n16 = pred(n17)
& succ(n5) = n6
& n8 = sum(n20,n9)
& n10 = sum(n4,n6)
& n19 = sum(n4,n15)
& n0 = succ(n20)
& n13 != n20
& n16 = sum(n15,n1)
& n3 = pred(n4)
& n17 = sum(n14,n3)
& n17 = sum(n3,n14)
& n2 != n20
& n9 != n20
& n10 = sum(n17,n14)
& n0 = sum(n8,n13)
& n18 = sum(n17,n1)
& n19 = sum(n0,n19)
& n3 != X2
& n4 = sum(n13,n12)
& n4 != n19
& n3 = sum(n10,n14)
& n5 != n14
& n7 != n17
& n20 != X2
& n12 != n16
& n16 = sum(n8,n8)
& n15 != X2
& n3 = sum(n16,n8)
& n18 = sum(n1,n17)
& succ(n14) = n15
& n11 = sum(n15,n17)
& n20 = sum(n11,n9)
& n15 != n20
& n7 != n14
& n8 = sum(n15,n14)
& n2 != n13
& n10 = sum(n14,n17)
& succ(n13) = n14
& n18 = sum(n20,n19)
& n16 = sum(n14,n2)
& n3 = sum(n5,n19)
& n5 = sum(n10,n16)
& n0 != X2
& n17 = sum(n6,n11)
& n20 = sum(n16,n4)
& n10 = sum(n11,n20)
& n3 != n7
& succ(n0) = n1
& n0 = sum(n1,n20)
& n3 != n5
& n0 = sum(n0,n0)
& n12 = sum(n8,n4)
& n11 = sum(n5,n6)
& n1 = sum(n6,n16)
& n11 = sum(n9,n2)
& n2 = sum(n20,n3)
& n0 != n11
& n0 != n12
& n14 = sum(n4,n10)
& n20 = sum(n9,n11)
& n0 = sum(n14,n7)
& n1 = sum(n5,n17)
& n15 = sum(n13,n2)
& n0 = sum(n5,n16)
& n17 = sum(n5,n12)
& n8 != n10
& n12 = sum(n20,n13)
& n3 != n17
& n6 = sum(n11,n16)
& n3 != n18
& n0 != n19
& n15 != n18
& n17 = pred(n18)
& n15 = pred(n16)
& n6 = sum(n18,n9)
& n20 = pred(n0)
& n4 != n20
& n2 != n9
& n11 != n18
& n7 != n19
& n9 = sum(n17,n13)
& n16 = sum(n11,n5)
& n15 = sum(n4,n11)
& n14 = sum(n9,n5)
& n16 = sum(n10,n6)
& n6 != n12
& n7 = sum(n20,n8)
& n14 = pred(n15)
& n5 = sum(n20,n6)
& n10 = sum(n6,n4)
& n11 = sum(n19,n13)
& n11 = sum(n4,n7)
& n4 = sum(n18,n7)
& n8 != n13
& n7 = sum(n10,n18)
& n4 != n7
& n10 != X2
& n3 = sum(n1,n2)
& n6 = sum(n16,n11)
& n14 = sum(n10,n4)
& n6 != n14
& n9 = sum(n20,n10)
& n1 = sum(n7,n15)
& n2 != n4
& n13 = sum(n1,n12)
& n8 != n16
& n20 = sum(n19,n1)
& n18 = sum(n8,n10)
& n14 = sum(n3,n11)
& n6 != n11
& n9 = sum(n14,n16)
& n11 = sum(n7,n4)
& n1 = sum(n18,n4)
& n13 = sum(n2,n11)
& n10 = sum(n19,n12)
& n13 = sum(n19,n15)
& n1 = sum(n8,n14)
& n18 = sum(n13,n5)
& n7 = sum(n8,n20)
& n6 = sum(n4,n2)
& n15 = sum(n20,n16)
& n11 = sum(n20,n12)
& n14 = sum(n0,n14)
& n4 != n15
& n1 != n14
& n8 = sum(n17,n12)
& n15 = sum(n2,n13)
& n1 = sum(n1,n0)
& n12 != n13
& n15 = sum(n3,n12)
& n4 != n13
& n2 = sum(n18,n5)
& n9 = sum(n7,n2)
& n15 = sum(n7,n8)
& n2 != X2
& n1 = sum(n15,n7)
& n16 = sum(n1,n15)
& n4 != n9
& succ(n17) = n18
& n8 = sum(n0,n8)
& n20 = sum(n15,n5)
& n10 != n12
& n1 != n3
& n19 = sum(n13,n6)
& n1 = sum(n13,n9)
& n6 != n16
& n18 = pred(n19)
& n8 != n14
& n17 != n19
& n18 = sum(n18,n0)
& n5 != n19
& n5 != n18
& n10 != n16
& n2 = sum(n10,n13)
& n14 != n18
& n3 = sum(n2,n1)
& n19 = sum(n10,n9)
& n0 != n5
& n3 != n15
& n9 = sum(n3,n6)
& n14 != n16
& n8 = sum(n6,n2)
& n20 = sum(n1,n19)
& n17 = sum(n4,n13)
& n14 = sum(n8,n6)
& n8 != n11
& n4 = sum(n1,n3)
& n1 = sum(n4,n18)
& n11 = sum(n8,n3)
& n10 = sum(n7,n3)
& n11 = sum(n10,n1)
& n11 != n12
& n9 != n17
& n16 = sum(n7,n9)
& n7 != n11
& n19 = sum(n1,n18)
& n2 = sum(n12,n11)
& ( n8 = X0
| n20 = X0
| n2 = X0
| n4 = X0
| n14 = X0
| n15 = X0
| n5 = X0
| n16 = X0
| n13 = X0
| n1 = X0
| n19 = X0
| n12 = X0
| n3 = X0
| n9 = X0
| n6 = X0
| n10 = X0
| n7 = X0
| n0 = X0
| n18 = X0
| n11 = X0
| n17 = X0 )
& n9 = sum(n16,n14)
& n16 = sum(n12,n4)
& n0 != n8
& n11 = sum(n12,n20)
& n16 != n20
& n6 = sum(n19,n8)
& n6 != n7
& n4 = sum(n20,n5)
& n5 = sum(n17,n9)
& n9 = sum(n1,n8)
& n9 != n12
& n3 = sum(n17,n7)
& n20 = sum(n8,n12)
& n2 = sum(n3,n20)
& n7 != n10
& n13 = sum(n17,n17)
& n18 != n20
& n7 = sum(n11,n17)
& n19 = sum(n8,n11)
& n12 = sum(n15,n18)
& n7 = sum(n6,n1)
& n2 = sum(n8,n15)
& n15 = sum(n9,n6)
& succ(n1) = n2
& n7 = sum(n12,n16)
& n6 = sum(n2,n4)
& succ(n6) = n7
& n14 != n20
& n2 = sum(n17,n6)
& n3 != n19
& n11 = sum(n16,n16)
& n3 = sum(n13,n11)
& n1 != n13
& n9 = sum(n8,n1)
& n4 = pred(n5)
& n11 = sum(n3,n8)
& n7 != X2
& n10 = sum(n8,n2)
& n14 = sum(n15,n20)
& n7 = sum(n5,n2)
& n4 != n6
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& n2 = sum(n2,n0)
& n2 != n7
& n7 = pred(n8)
& n6 != n18
& n0 != n13
& n10 != n19
& n7 != n8
& n18 = sum(n6,n12)
& n11 = sum(n11,n0)
& n1 != n19
& n2 != n18
& n18 = sum(n11,n7)
& n2 != n5
& n5 = sum(n4,n1)
& n17 != n20
& n7 != n20
& n2 != n10
& n5 = sum(n9,n17)
& n19 = sum(n11,n8)
& n2 = sum(n4,n19)
& n6 = pred(n7)
& succ(n2) = n3
& n7 = sum(n7,n0)
& n13 != n14
& n3 = sum(n14,n10)
& n13 = sum(n12,n1)
& n3 = sum(n0,n3)
& n11 = pred(n12)
& n10 != n14
& n2 = sum(n6,n17)
& n2 != n8
& n4 = sum(n12,n13)
& n1 = sum(n12,n10)
& n4 = sum(n5,n20)
& n4 = sum(n4,n0)
& n1 != n5
& succ(n18) = n19
& n3 != n16
& n6 != n9
& n15 = sum(n5,n10)
& n15 = sum(n17,n19)
& n1 != n4
& n4 != n8
& n12 = sum(n7,n5)
& n6 = sum(n5,n1)
& n7 = sum(n14,n14)
& n10 = sum(n5,n5)
& n2 != n3
& n13 != n17
& n8 = sum(n16,n13)
& n12 = sum(n14,n19)
& n3 != n20
& n0 = sum(n2,n19)
& n5 = sum(n5,n0)
& n6 != n19
& n16 = sum(n16,n0)
& n12 = sum(n6,n6)
& n16 != n17
& n6 = sum(n7,n20)
& n12 = sum(n10,n2)
& n18 = sum(n12,n6)
& n0 != n3
& ( n10 = X1
| n11 = X1
| n19 = X1
| n20 = X1
| n1 = X1
| n14 = X1
| n2 = X1
| n5 = X1
| n12 = X1
| n0 = X1
| n13 = X1
| n9 = X1
| n8 = X1
| n18 = X1
| n15 = X1
| n7 = X1
| n16 = X1
| n6 = X1
| n4 = X1
| n17 = X1
| n3 = X1 )
& n12 != n20
& n15 = sum(n6,n9)
& n4 = sum(n7,n18)
& n17 = sum(n19,n19)
& n13 != n18
& n6 = sum(n9,n18)
& n17 = sum(n20,n18)
& succ(n4) = n5
& n17 = sum(n0,n17)
& n15 = sum(n12,n3)
& n16 = sum(n2,n14)
& n1 != n18
& n2 != n6
& n14 != X2
& n3 != n6
& n10 = sum(n3,n7)
& n3 != n10
& n1 = pred(n2)
& n15 = sum(n18,n18)
& n3 != n8
& n2 = sum(n19,n4)
& n2 = sum(n13,n10)
& n8 != n12
& n10 = sum(n0,n10)
& n9 = sum(n2,n7)
& n1 != n10
& n13 = sum(n9,n4)
& n12 != n14
& n4 = sum(n17,n8)
& n12 = sum(n17,n16)
& n17 = sum(n13,n4)
& n11 = sum(n6,n5)
& n1 != n17
& n20 = sum(n10,n10)
& n15 = sum(n11,n4)
& n12 = sum(n2,n10)
& n6 = sum(n10,n17)
& n2 != n14
& n12 = sum(n18,n15)
& n10 != n20
& n3 != n14
& n17 = sum(n15,n2)
& n10 != n15
& n20 = sum(n3,n17)
& n1 = sum(n11,n11)
& n2 = pred(n3)
& n7 != n9
& n8 != n9
& n15 = sum(n1,n14)
& n8 != n15
& n3 != n4
& n8 = sum(n8,n0)
& n9 != n18
& n1 != n7
& n1 != n2
& n16 = sum(n19,n18)
& n5 != n16
& n10 = sum(n15,n16)
& n10 != n13
& n5 = sum(n12,n14)
& n3 = sum(n20,n4)
& n12 != X2
& n9 != n13
& n12 = sum(n1,n11)
& n4 != n18
& n9 != n16
& n10 = sum(n1,n9)
& n5 != n13
& n14 = sum(n1,n13)
& succ(n7) = n8
& n0 = sum(n13,n8)
& n16 != n19
& n20 = sum(n4,n16)
& n0 != n15
& n19 != n20
& n1 = sum(n9,n13)
& n0 = sum(n3,n18)
& n13 = sum(n15,n19)
& n12 != n18
& n0 = sum(n17,n4)
& n1 != n12
& n1 != n9
& n0 = sum(n9,n12)
& n3 = sum(n9,n15)
& n5 != n15
& n18 != n19
& n9 = sum(n15,n15)
& n13 = sum(n8,n5)
& n8 = sum(n1,n7)
& n7 != n16
& n5 = sum(n1,n4)
& n17 != n18
& n12 = sum(n0,n12)
& n7 = sum(n0,n7)
& n15 = sum(n14,n1)
& n14 = sum(n12,n2)
& n17 = sum(n12,n5)
& n2 != n19
& n15 = sum(n8,n7)
& n13 = sum(n16,n18)
& n18 = sum(n7,n11)
& n9 = sum(n12,n18)
& n12 = sum(n19,n14)
& n8 != n19
& n8 != n17
& n6 = sum(n0,n6)
& n5 = pred(n6)
& n4 = sum(n19,n6)
& n0 = sum(n10,n11)
& n11 = sum(n18,n14)
& n20 = sum(n6,n14)
& n5 = sum(n18,n8)
& n2 = sum(n1,n1)
& n11 = sum(n13,n19)
& n7 = sum(n15,n13)
& n18 = sum(n19,n20)
& n16 = sum(n0,n16)
& succ(n12) = n13
& n7 = sum(n3,n4)
& n8 != n18
& n7 = sum(n16,n12)
& n5 = sum(n11,n15)
& n3 = sum(n12,n12)
& n2 = sum(n7,n16)
& n12 != n15
& n7 = sum(n2,n5)
& n20 = sum(n7,n13)
& n9 != X2
& n20 = sum(n20,n0)
& n7 != n18
& n13 = pred(n14)
& n17 = sum(n9,n8)
& n1 = sum(n16,n6)
& n5 != n11
& n1 != n20
& n17 = sum(n7,n10)
& n9 = sum(n9,n0)
& n8 != X2
& n7 = sum(n9,n19)
& n14 = sum(n17,n18)
& n10 = sum(n12,n19)
& n2 = sum(n14,n9)
& n12 = sum(n3,n9)
& n10 = sum(n13,n18)
& n6 = sum(n3,n3)
& succ(n11) = n12
& n12 = pred(n13)
& n6 != n20
& n9 = sum(n11,n19)
& n1 != X2
& n2 = sum(n0,n2)
& n5 != X2
& n11 != n17
& n1 = sum(n10,n12)
& n5 = sum(n3,n2)
& n15 = sum(n19,n17)
& n6 = sum(n13,n14)
& succ(n8) = n9
& n15 = sum(n16,n20)
& n3 != n13
& n14 = sum(n16,n19)
& n6 != n15
& n2 != n17
& n6 != n17
& n20 = sum(n5,n15)
& n4 != n10
& n4 = sum(n0,n4)
& n3 = sum(n15,n9)
& n17 = sum(n8,n9)
& n13 = sum(n3,n10)
& n5 != n17
& n11 = sum(n14,n18)
& n3 = sum(n7,n17)
& n15 != n16
& n3 = sum(n11,n13)
& n19 = pred(n20)
& n11 != n19
& n10 = sum(n20,n11)
& n3 != n12
& n10 = sum(n16,n15)
& n13 != X2
& n10 = pred(n11)
& n6 != n10
& n12 = sum(n11,n1)
& n18 = sum(n14,n4)
& n3 = sum(n3,n0)
& n8 = sum(n14,n15)
& n9 != n19
& n1 != n16
& n19 = sum(n6,n13)
& n8 = sum(n9,n20)
& n8 = sum(n19,n10)
& n9 = sum(n18,n12)
& succ(n3) = n4
& n18 = sum(n15,n3)
& n13 = sum(n20,n14)
& n9 = pred(n10)
& n11 = sum(n1,n10)
& n0 != n7
& n20 = sum(n0,n20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f9512,plain,
( n0 = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9511,f331]) ).
fof(f331,plain,
n0 = sum(n8,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f9511,plain,
( sum(n8,n13) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9510,f540]) ).
fof(f540,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f5]) ).
fof(f9510,plain,
( sum(pred(n9),n13) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9509,f68]) ).
fof(f68,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f9509,plain,
( sum(pred(sum(n2,n7)),n13) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9508,f621]) ).
fof(f621,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f9508,plain,
( sum(pred(sum(n2,n7)),sum(n6,n7)) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9507,f245]) ).
fof(f245,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f5]) ).
fof(f9507,plain,
( sum(pred(sum(n2,n7)),sum(n6,pred(n8))) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9506,f402]) ).
fof(f402,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f9506,plain,
( sum(pred(sum(n2,n7)),sum(n6,pred(sum(n2,n6)))) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9469,f823]) ).
fof(f823,plain,
( n2 = sK1
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f821,plain,
( spl3_25
<=> n2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f9469,plain,
( sum(pred(sum(sK1,n7)),sum(n6,pred(sum(sK1,n6)))) = sK0
| ~ spl3_5 ),
inference(forward_demodulation,[],[f9461,f137]) ).
fof(f137,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f5]) ).
fof(f9461,plain,
( sum(pred(sum(sK1,succ(n6))),sum(n6,pred(sum(sK1,n6)))) = sK0
| ~ spl3_5 ),
inference(backward_demodulation,[],[f244,f742]) ).
fof(f742,plain,
( n6 = sK2
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f740,plain,
( spl3_5
<=> n6 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f244,plain,
sK0 = sum(pred(sum(sK1,succ(sK2))),sum(sK2,pred(sum(sK1,sK2)))),
inference(cnf_transformation,[],[f5]) ).
fof(f9492,plain,
( ~ spl3_5
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f9491]) ).
fof(f9491,plain,
( $false
| ~ spl3_5
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f9490,f60]) ).
fof(f60,plain,
n1 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9490,plain,
( n1 = sK0
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9489,f259]) ).
fof(f259,plain,
n1 = sum(n19,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f9489,plain,
( sum(n19,n3) = sK0
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9488,f148]) ).
fof(f148,plain,
n19 = pred(n20),
inference(cnf_transformation,[],[f5]) ).
fof(f9488,plain,
( sum(pred(n20),n3) = sK0
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9487,f52]) ).
fof(f52,plain,
n20 = sum(n13,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f9487,plain,
( sK0 = sum(pred(sum(n13,n7)),n3)
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9486,f325]) ).
fof(f325,plain,
n3 = sum(n6,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f9486,plain,
( sum(pred(sum(n13,n7)),sum(n6,n18)) = sK0
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9485,f576]) ).
fof(f576,plain,
n18 = pred(n19),
inference(cnf_transformation,[],[f5]) ).
fof(f9485,plain,
( sum(pred(sum(n13,n7)),sum(n6,pred(n19))) = sK0
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9484,f439]) ).
fof(f439,plain,
n19 = sum(n13,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f9484,plain,
( sum(pred(sum(n13,n7)),sum(n6,pred(sum(n13,n6)))) = sK0
| ~ spl3_5
| ~ spl3_38 ),
inference(backward_demodulation,[],[f9469,f875]) ).
fof(f875,plain,
( n13 = sK1
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f873,plain,
( spl3_38
<=> n13 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f9455,plain,
( ~ spl3_6
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f9454]) ).
fof(f9454,plain,
( $false
| ~ spl3_6
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f9453,f8]) ).
fof(f8,plain,
n3 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9453,plain,
( n3 = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9452,f292]) ).
fof(f292,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f9452,plain,
( sum(n2,n1) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9451,f480]) ).
fof(f480,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f5]) ).
fof(f9451,plain,
( sum(pred(n3),n1) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9450,f292]) ).
fof(f9450,plain,
( sK0 = sum(pred(sum(n2,n1)),n1)
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9449,f484]) ).
fof(f484,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f9449,plain,
( sum(pred(sum(n2,n1)),sum(n0,n1)) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9448,f680]) ).
fof(f680,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f5]) ).
fof(f9448,plain,
( sum(pred(sum(n2,n1)),sum(n0,pred(n2))) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9447,f63]) ).
fof(f63,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f9447,plain,
( sK0 = sum(pred(sum(n2,n1)),sum(n0,pred(sum(n2,n0))))
| ~ spl3_6
| ~ spl3_25 ),
inference(backward_demodulation,[],[f9417,f823]) ).
fof(f9417,plain,
( sum(pred(sum(sK1,n1)),sum(n0,pred(sum(sK1,n0)))) = sK0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f9404,f543]) ).
fof(f543,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f5]) ).
fof(f9404,plain,
( sum(pred(sum(sK1,succ(n0))),sum(n0,pred(sum(sK1,n0)))) = sK0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f244,f746]) ).
fof(f746,plain,
( n0 = sK2
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl3_6
<=> n0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f9433,plain,
( ~ spl3_6
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f9432]) ).
fof(f9432,plain,
( $false
| ~ spl3_6
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f9431,f453]) ).
fof(f453,plain,
n4 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9431,plain,
( n4 = sK0
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9430,f302]) ).
fof(f302,plain,
n4 = sum(n13,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f9430,plain,
( sum(n13,n12) = sK0
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9429,f278]) ).
fof(f278,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f5]) ).
fof(f9429,plain,
( sum(pred(n14),n12) = sK0
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9428,f575]) ).
fof(f575,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f9428,plain,
( sum(pred(sum(n13,n1)),n12) = sK0
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9427,f130]) ).
fof(f130,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f9427,plain,
( sK0 = sum(pred(sum(n13,n1)),sum(n0,n12))
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9426,f378]) ).
fof(f378,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f5]) ).
fof(f9426,plain,
( sK0 = sum(pred(sum(n13,n1)),sum(n0,pred(n13)))
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9425,f390]) ).
fof(f390,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f9425,plain,
( sum(pred(sum(n13,n1)),sum(n0,pred(sum(n13,n0)))) = sK0
| ~ spl3_6
| ~ spl3_38 ),
inference(backward_demodulation,[],[f9417,f875]) ).
fof(f9414,plain,
( ~ spl3_6
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f9413]) ).
fof(f9413,plain,
( $false
| ~ spl3_6
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f9412,f111]) ).
fof(f111,plain,
n5 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9412,plain,
( n5 = sK0
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9411,f391]) ).
fof(f391,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f9411,plain,
( sum(n3,n2) = sK0
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9410,f165]) ).
fof(f165,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f5]) ).
fof(f9410,plain,
( sum(pred(n4),n2) = sK0
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9409,f642]) ).
fof(f642,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f9409,plain,
( sum(pred(sum(n3,n1)),n2) = sK0
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9408,f543]) ).
fof(f9408,plain,
( sum(pred(sum(n3,succ(n0))),n2) = sK0
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9407,f679]) ).
fof(f679,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f9407,plain,
( sum(pred(sum(n3,succ(n0))),sum(n0,n2)) = sK0
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9406,f480]) ).
fof(f9406,plain,
( sum(pred(sum(n3,succ(n0))),sum(n0,pred(n3))) = sK0
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9405,f229]) ).
fof(f229,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f9405,plain,
( sum(pred(sum(n3,succ(n0))),sum(n0,pred(sum(n3,n0)))) = sK0
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9404,f891]) ).
fof(f891,plain,
( n3 = sK1
| ~ spl3_42 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f889,plain,
( spl3_42
<=> n3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f9383,plain,
( ~ spl3_5
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f9382]) ).
fof(f9382,plain,
( $false
| ~ spl3_5
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f9381,f509]) ).
fof(f509,plain,
n2 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9381,plain,
( n2 = sK0
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9380,f538]) ).
fof(f538,plain,
n2 = sum(n9,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f9380,plain,
( sum(n9,n14) = sK0
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9379,f231]) ).
fof(f231,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f5]) ).
fof(f9379,plain,
( sum(pred(n10),n14) = sK0
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9378,f196]) ).
fof(f196,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f9378,plain,
( sK0 = sum(pred(sum(n3,n7)),n14)
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9377,f137]) ).
fof(f9377,plain,
( sum(pred(sum(n3,succ(n6))),n14) = sK0
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9376,f312]) ).
fof(f312,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f9376,plain,
( sK0 = sum(pred(sum(n3,succ(n6))),sum(n6,n8))
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9375,f540]) ).
fof(f9375,plain,
( sK0 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(n9)))
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9374,f712]) ).
fof(f712,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f9374,plain,
( sum(pred(sum(n3,succ(n6))),sum(n6,pred(sum(n3,n6)))) = sK0
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9373,f891]) ).
fof(f9373,plain,
( sum(pred(sum(sK1,succ(n6))),sum(n6,pred(sum(sK1,n6)))) = sK0
| ~ spl3_5 ),
inference(forward_demodulation,[],[f244,f742]) ).
fof(f9355,plain,
( ~ spl3_1
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f9354]) ).
fof(f9354,plain,
( $false
| ~ spl3_1
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f9353,f307]) ).
fof(f307,plain,
n17 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9353,plain,
( n17 = sK0
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9352,f385]) ).
fof(f385,plain,
n17 = sum(n0,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f9352,plain,
( sum(n0,n17) = sK0
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9351,f96]) ).
fof(f96,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f5]) ).
fof(f9351,plain,
( sK0 = sum(pred(n1),n17)
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9350,f464]) ).
fof(f464,plain,
n1 = sum(n3,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f9350,plain,
( sK0 = sum(pred(sum(n3,n19)),n17)
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9349,f569]) ).
fof(f569,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f5]) ).
fof(f9349,plain,
( sum(pred(sum(n3,succ(n18))),n17) = sK0
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9348,f23]) ).
fof(f23,plain,
n17 = sum(n18,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f9348,plain,
( sum(pred(sum(n3,succ(n18))),sum(n18,n20)) = sK0
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9347,f342]) ).
fof(f342,plain,
n20 = pred(n0),
inference(cnf_transformation,[],[f5]) ).
fof(f9347,plain,
( sum(pred(sum(n3,succ(n18))),sum(n18,pred(n0))) = sK0
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9346,f204]) ).
fof(f204,plain,
n0 = sum(n3,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f9346,plain,
( sum(pred(sum(n3,succ(n18))),sum(n18,pred(sum(n3,n18)))) = sK0
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9319,f891]) ).
fof(f9319,plain,
( sum(pred(sum(sK1,succ(n18))),sum(n18,pred(sum(sK1,n18)))) = sK0
| ~ spl3_1 ),
inference(forward_demodulation,[],[f244,f726]) ).
fof(f726,plain,
( n18 = sK2
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl3_1
<=> n18 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f9329,plain,
( ~ spl3_1
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f9328]) ).
fof(f9328,plain,
( $false
| ~ spl3_1
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f9327,f118]) ).
fof(f118,plain,
n16 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9327,plain,
( n16 = sK0
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9326,f408]) ).
fof(f408,plain,
n16 = sum(n10,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f9326,plain,
( sum(n10,n6) = sK0
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9325,f45]) ).
fof(f45,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f5]) ).
fof(f9325,plain,
( sum(pred(n11),n6) = sK0
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9324,f290]) ).
fof(f290,plain,
n11 = sum(n13,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f9324,plain,
( sum(pred(sum(n13,n19)),n6) = sK0
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9323,f569]) ).
fof(f9323,plain,
( sum(pred(sum(n13,succ(n18))),n6) = sK0
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9322,f22]) ).
fof(f22,plain,
n6 = sum(n18,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f9322,plain,
( sum(pred(sum(n13,succ(n18))),sum(n18,n9)) = sK0
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9321,f231]) ).
fof(f9321,plain,
( sum(pred(sum(n13,succ(n18))),sum(n18,pred(n10))) = sK0
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9320,f240]) ).
fof(f240,plain,
n10 = sum(n13,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f9320,plain,
( sum(pred(sum(n13,succ(n18))),sum(n18,pred(sum(n13,n18)))) = sK0
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9319,f875]) ).
fof(f9314,plain,
( ~ spl3_1
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f9313]) ).
fof(f9313,plain,
( $false
| ~ spl3_1
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f9312,f128]) ).
fof(f128,plain,
n15 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9312,plain,
( n15 = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9311,f561]) ).
fof(f561,plain,
n15 = sum(n20,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f9311,plain,
( sum(n20,n16) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9310,f342]) ).
fof(f9310,plain,
( sum(pred(n0),n16) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9309,f191]) ).
fof(f191,plain,
n0 = sum(n2,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f9309,plain,
( sum(pred(sum(n2,n19)),n16) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9308,f569]) ).
fof(f9308,plain,
( sum(pred(sum(n2,succ(n18))),n16) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9307,f296]) ).
fof(f296,plain,
n16 = sum(n18,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f9307,plain,
( sum(pred(sum(n2,succ(n18))),sum(n18,n19)) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9306,f148]) ).
fof(f9306,plain,
( sum(pred(sum(n2,succ(n18))),sum(n18,pred(n20))) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9305,f298]) ).
fof(f298,plain,
n20 = sum(n2,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f9305,plain,
( sum(pred(sum(n2,succ(n18))),sum(n18,pred(sum(n2,n18)))) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(backward_demodulation,[],[f9302,f726]) ).
fof(f9302,plain,
( sum(pred(sum(n2,succ(sK2))),sum(sK2,pred(sum(n2,sK2)))) = sK0
| ~ spl3_25 ),
inference(forward_demodulation,[],[f244,f823]) ).
fof(f9283,plain,
( ~ spl3_5
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f9282]) ).
fof(f9282,plain,
( $false
| ~ spl3_5
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f9281,f128]) ).
fof(f9281,plain,
( n15 = sK0
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9280,f713]) ).
fof(f713,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f9280,plain,
( sum(n5,n10) = sK0
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9279,f581]) ).
fof(f581,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f5]) ).
fof(f9279,plain,
( sum(pred(n6),n10) = sK0
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9278,f548]) ).
fof(f548,plain,
n6 = sum(n20,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f9278,plain,
( sum(pred(sum(n20,n7)),n10) = sK0
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9277,f137]) ).
fof(f9277,plain,
( sK0 = sum(pred(sum(n20,succ(n6))),n10)
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9276,f694]) ).
fof(f694,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f9276,plain,
( sK0 = sum(pred(sum(n20,succ(n6))),sum(n6,n4))
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9275,f708]) ).
fof(f708,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f5]) ).
fof(f9275,plain,
( sum(pred(sum(n20,succ(n6))),sum(n6,pred(n5))) = sK0
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9274,f608]) ).
fof(f608,plain,
n5 = sum(n20,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f9274,plain,
( sum(pred(sum(n20,succ(n6))),sum(n6,pred(sum(n20,n6)))) = sK0
| ~ spl3_5
| ~ spl3_34 ),
inference(backward_demodulation,[],[f9248,f742]) ).
fof(f9248,plain,
( sum(pred(sum(n20,succ(sK2))),sum(sK2,pred(sum(n20,sK2)))) = sK0
| ~ spl3_34 ),
inference(forward_demodulation,[],[f244,f859]) ).
fof(f859,plain,
( n20 = sK1
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f857,plain,
( spl3_34
<=> n20 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f9259,plain,
( ~ spl3_1
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f9258]) ).
fof(f9258,plain,
( $false
| ~ spl3_1
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f9257,f123]) ).
fof(f123,plain,
n9 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9257,plain,
( n9 = sK0
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9256,f479]) ).
fof(f479,plain,
n9 = sum(n17,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f9256,plain,
( sum(n17,n13) = sK0
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9255,f622]) ).
fof(f622,plain,
n17 = pred(n18),
inference(cnf_transformation,[],[f5]) ).
fof(f9255,plain,
( sum(pred(n18),n13) = sK0
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9254,f145]) ).
fof(f145,plain,
n18 = sum(n20,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f9254,plain,
( sum(pred(sum(n20,n19)),n13) = sK0
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9253,f569]) ).
fof(f9253,plain,
( sK0 = sum(pred(sum(n20,succ(n18))),n13)
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9252,f310]) ).
fof(f310,plain,
n13 = sum(n18,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f9252,plain,
( sum(pred(sum(n20,succ(n18))),sum(n18,n16)) = sK0
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9251,f661]) ).
fof(f661,plain,
n16 = pred(n17),
inference(cnf_transformation,[],[f5]) ).
fof(f9251,plain,
( sK0 = sum(pred(sum(n20,succ(n18))),sum(n18,pred(n17)))
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9250,f125]) ).
fof(f125,plain,
n17 = sum(n20,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f9250,plain,
( sum(pred(sum(n20,succ(n18))),sum(n18,pred(sum(n20,n18)))) = sK0
| ~ spl3_1
| ~ spl3_34 ),
inference(backward_demodulation,[],[f9248,f726]) ).
fof(f9243,plain,
( ~ spl3_6
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f9242]) ).
fof(f9242,plain,
( $false
| ~ spl3_6
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f9241,f470]) ).
fof(f470,plain,
n18 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9241,plain,
( n18 = sK0
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9240,f145]) ).
fof(f9240,plain,
( sum(n20,n19) = sK0
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9239,f342]) ).
fof(f9239,plain,
( sum(pred(n0),n19) = sK0
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9238,f157]) ).
fof(f157,plain,
n0 = sum(n20,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f9238,plain,
( sum(pred(sum(n20,n1)),n19) = sK0
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9237,f543]) ).
fof(f9237,plain,
( sum(pred(sum(n20,succ(n0))),n19) = sK0
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9236,f662]) ).
fof(f662,plain,
n19 = sum(n0,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f9236,plain,
( sum(pred(sum(n20,succ(n0))),sum(n0,n19)) = sK0
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9235,f148]) ).
fof(f9235,plain,
( sum(pred(sum(n20,succ(n0))),sum(n0,pred(n20))) = sK0
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9234,f334]) ).
fof(f334,plain,
n20 = sum(n20,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f9234,plain,
( sK0 = sum(pred(sum(n20,succ(n0))),sum(n0,pred(sum(n20,n0))))
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9233,f859]) ).
fof(f9233,plain,
( sum(pred(sum(sK1,succ(n0))),sum(n0,pred(sum(sK1,n0)))) = sK0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f244,f746]) ).
fof(f9217,plain,
( ~ spl3_3
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f9216]) ).
fof(f9216,plain,
( $false
| ~ spl3_3
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f9215,f393]) ).
fof(f9215,plain,
( n0 = sK0
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9214,f313]) ).
fof(f313,plain,
n0 = sum(n14,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f9214,plain,
( sum(n14,n7) = sK0
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9213,f164]) ).
fof(f164,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f5]) ).
fof(f9213,plain,
( sum(pred(n15),n7) = sK0
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9212,f561]) ).
fof(f9212,plain,
( sK0 = sum(pred(sum(n20,n16)),n7)
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9211,f206]) ).
fof(f206,plain,
n7 = sum(n15,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f9211,plain,
( sK0 = sum(pred(sum(n20,n16)),sum(n15,n13))
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9210,f278]) ).
fof(f9210,plain,
( sK0 = sum(pred(sum(n20,n16)),sum(n15,pred(n14)))
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9209,f253]) ).
fof(f253,plain,
n14 = sum(n20,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f9209,plain,
( sK0 = sum(pred(sum(n20,n16)),sum(n15,pred(sum(n20,n15))))
| ~ spl3_3
| ~ spl3_34 ),
inference(backward_demodulation,[],[f9165,f859]) ).
fof(f9165,plain,
( sum(pred(sum(sK1,n16)),sum(n15,pred(sum(sK1,n15)))) = sK0
| ~ spl3_3 ),
inference(forward_demodulation,[],[f9154,f109]) ).
fof(f109,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f5]) ).
fof(f9154,plain,
( sum(pred(sum(sK1,succ(n15))),sum(n15,pred(sum(sK1,n15)))) = sK0
| ~ spl3_3 ),
inference(forward_demodulation,[],[f244,f734]) ).
fof(f734,plain,
( n15 = sK2
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f732,plain,
( spl3_3
<=> n15 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f9204,plain,
( ~ spl3_3
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f9203]) ).
fof(f9203,plain,
( $false
| ~ spl3_3
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f9202,f432]) ).
fof(f432,plain,
n6 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9202,plain,
( n6 = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9201,f583]) ).
fof(f583,plain,
n6 = sum(n17,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f9201,plain,
( sum(n17,n10) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9200,f622]) ).
fof(f9200,plain,
( sK0 = sum(pred(n18),n10)
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9199,f33]) ).
fof(f33,plain,
n18 = sum(n2,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f9199,plain,
( sK0 = sum(pred(sum(n2,n16)),n10)
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9198,f653]) ).
fof(f653,plain,
n10 = sum(n15,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f9198,plain,
( sK0 = sum(pred(sum(n2,n16)),sum(n15,n16))
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9197,f661]) ).
fof(f9197,plain,
( sum(pred(sum(n2,n16)),sum(n15,pred(n17))) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9196,f580]) ).
fof(f580,plain,
n17 = sum(n2,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f9196,plain,
( sum(pred(sum(n2,n16)),sum(n15,pred(sum(n2,n15)))) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9165,f823]) ).
fof(f9178,plain,
( ~ spl3_3
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f9177]) ).
fof(f9177,plain,
( $false
| ~ spl3_3
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f9176,f637]) ).
fof(f637,plain,
n7 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9176,plain,
( n7 = sK0
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9175,f562]) ).
fof(f562,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f9175,plain,
( sum(n7,n0) = sK0
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9174,f245]) ).
fof(f9174,plain,
( sK0 = sum(pred(n8),n0)
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9173,f222]) ).
fof(f222,plain,
n8 = sum(n13,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f9173,plain,
( sum(pred(sum(n13,n16)),n0) = sK0
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9172,f335]) ).
fof(f335,plain,
n0 = sum(n15,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f9172,plain,
( sum(pred(sum(n13,n16)),sum(n15,n6)) = sK0
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9171,f423]) ).
fof(f423,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f5]) ).
fof(f9171,plain,
( sum(pred(sum(n13,n16)),sum(n15,pred(n7))) = sK0
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9170,f186]) ).
fof(f186,plain,
n7 = sum(n13,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f9170,plain,
( sK0 = sum(pred(sum(n13,n16)),sum(n15,pred(sum(n13,n15))))
| ~ spl3_3
| ~ spl3_38 ),
inference(backward_demodulation,[],[f9165,f875]) ).
fof(f9164,plain,
( ~ spl3_3
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f9163]) ).
fof(f9163,plain,
( $false
| ~ spl3_3
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f9162,f306]) ).
fof(f306,plain,
n8 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9162,plain,
( n8 = sK0
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9161,f544]) ).
fof(f544,plain,
n8 = sum(n18,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f9161,plain,
( sum(n18,n11) = sK0
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9160,f576]) ).
fof(f9160,plain,
( sK0 = sum(pred(n19),n11)
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9159,f173]) ).
fof(f173,plain,
n19 = sum(n3,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f9159,plain,
( sum(pred(sum(n3,n16)),n11) = sK0
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9158,f109]) ).
fof(f9158,plain,
( sK0 = sum(pred(sum(n3,succ(n15))),n11)
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9157,f600]) ).
fof(f600,plain,
n11 = sum(n15,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f9157,plain,
( sK0 = sum(pred(sum(n3,succ(n15))),sum(n15,n17))
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9156,f622]) ).
fof(f9156,plain,
( sum(pred(sum(n3,succ(n15))),sum(n15,pred(n18))) = sK0
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9155,f547]) ).
fof(f547,plain,
n18 = sum(n3,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f9155,plain,
( sK0 = sum(pred(sum(n3,succ(n15))),sum(n15,pred(sum(n3,n15))))
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9154,f891]) ).
fof(f9130,plain,
( ~ spl3_1
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f9129]) ).
fof(f9129,plain,
( $false
| ~ spl3_1
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f9128,f111]) ).
fof(f9128,plain,
( n5 = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9127,f258]) ).
fof(f258,plain,
n5 = sum(n15,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f9127,plain,
( sum(n15,n11) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9126,f387]) ).
fof(f387,plain,
n15 = pred(n16),
inference(cnf_transformation,[],[f5]) ).
fof(f9126,plain,
( sK0 = sum(pred(n16),n11)
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9125,f296]) ).
fof(f9125,plain,
( sum(pred(sum(n18,n19)),n11) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9124,f569]) ).
fof(f9124,plain,
( sum(pred(sum(n18,succ(n18))),n11) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9123,f455]) ).
fof(f455,plain,
n11 = sum(n18,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f9123,plain,
( sum(pred(sum(n18,succ(n18))),sum(n18,n14)) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9122,f164]) ).
fof(f9122,plain,
( sK0 = sum(pred(sum(n18,succ(n18))),sum(n18,pred(n15)))
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9121,f434]) ).
fof(f434,plain,
n15 = sum(n18,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f9121,plain,
( sK0 = sum(pred(sum(n18,succ(n18))),sum(n18,pred(sum(n18,n18))))
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9050,f726]) ).
fof(f9050,plain,
( sum(pred(sum(n18,succ(sK2))),sum(sK2,pred(sum(n18,sK2)))) = sK0
| ~ spl3_30 ),
inference(forward_demodulation,[],[f244,f843]) ).
fof(f843,plain,
( n18 = sK1
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f841,plain,
( spl3_30
<=> n18 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f9118,plain,
( ~ spl3_5
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f9117]) ).
fof(f9117,plain,
( $false
| ~ spl3_5
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f9116,f12]) ).
fof(f12,plain,
n11 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9116,plain,
( n11 = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9115,f61]) ).
fof(f61,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f9115,plain,
( sum(n3,n8) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9114,f165]) ).
fof(f9114,plain,
( sum(pred(n4),n8) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9113,f488]) ).
fof(f488,plain,
n4 = sum(n18,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f9113,plain,
( sK0 = sum(pred(sum(n18,n7)),n8)
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9112,f137]) ).
fof(f9112,plain,
( sK0 = sum(pred(sum(n18,succ(n6))),n8)
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9111,f382]) ).
fof(f382,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f9111,plain,
( sum(pred(sum(n18,succ(n6))),sum(n6,n2)) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9110,f480]) ).
fof(f9110,plain,
( sum(pred(sum(n18,succ(n6))),sum(n6,pred(n3))) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9109,f711]) ).
fof(f711,plain,
n3 = sum(n18,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f9109,plain,
( sum(pred(sum(n18,succ(n6))),sum(n6,pred(sum(n18,n6)))) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9050,f742]) ).
fof(f9094,plain,
( ~ spl3_3
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f9093]) ).
fof(f9093,plain,
( $false
| ~ spl3_3
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f9092,f307]) ).
fof(f9092,plain,
( n17 = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9091,f531]) ).
fof(f531,plain,
n17 = sum(n12,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f9091,plain,
( sum(n12,n5) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9090,f378]) ).
fof(f9090,plain,
( sK0 = sum(pred(n13),n5)
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9089,f310]) ).
fof(f9089,plain,
( sK0 = sum(pred(sum(n18,n16)),n5)
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9088,f109]) ).
fof(f9088,plain,
( sum(pred(sum(n18,succ(n15))),n5) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9087,f258]) ).
fof(f9087,plain,
( sum(pred(sum(n18,succ(n15))),sum(n15,n11)) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9086,f461]) ).
fof(f461,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f5]) ).
fof(f9086,plain,
( sK0 = sum(pred(sum(n18,succ(n15))),sum(n15,pred(n12)))
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9085,f690]) ).
fof(f690,plain,
n12 = sum(n18,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f9085,plain,
( sK0 = sum(pred(sum(n18,succ(n15))),sum(n15,pred(sum(n18,n15))))
| ~ spl3_3
| ~ spl3_30 ),
inference(backward_demodulation,[],[f9050,f734]) ).
fof(f9077,plain,
( ~ spl3_6
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f9076]) ).
fof(f9076,plain,
( $false
| ~ spl3_6
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f9075,f140]) ).
fof(f140,plain,
n14 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9075,plain,
( n14 = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9074,f373]) ).
fof(f373,plain,
n14 = sum(n18,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f9074,plain,
( sum(n18,n17) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9073,f576]) ).
fof(f9073,plain,
( sum(pred(n19),n17) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9072,f539]) ).
fof(f539,plain,
n19 = sum(n18,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f9072,plain,
( sK0 = sum(pred(sum(n18,n1)),n17)
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9071,f543]) ).
fof(f9071,plain,
( sum(pred(sum(n18,succ(n0))),n17) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9070,f385]) ).
fof(f9070,plain,
( sum(pred(sum(n18,succ(n0))),sum(n0,n17)) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9069,f622]) ).
fof(f9069,plain,
( sum(pred(sum(n18,succ(n0))),sum(n0,pred(n18))) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9068,f175]) ).
fof(f175,plain,
n18 = sum(n18,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f9068,plain,
( sum(pred(sum(n18,succ(n0))),sum(n0,pred(sum(n18,n0)))) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(backward_demodulation,[],[f9050,f746]) ).
fof(f9045,plain,
( ~ spl3_4
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f9044]) ).
fof(f9044,plain,
( $false
| ~ spl3_4
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f9043,f44]) ).
fof(f44,plain,
n12 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f9043,plain,
( n12 = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9042,f273]) ).
fof(f273,plain,
n12 = sum(n19,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f9042,plain,
( sum(n19,n14) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9041,f148]) ).
fof(f9041,plain,
( sum(pred(n20),n14) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9040,f298]) ).
fof(f9040,plain,
( sK0 = sum(pred(sum(n2,n18)),n14)
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9039,f425]) ).
fof(f425,plain,
n14 = sum(n17,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f9039,plain,
( sum(pred(sum(n2,n18)),sum(n17,n18)) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9038,f576]) ).
fof(f9038,plain,
( sum(pred(sum(n2,n18)),sum(n17,pred(n19))) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9037,f53]) ).
fof(f53,plain,
n19 = sum(n2,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f9037,plain,
( sK0 = sum(pred(sum(n2,n18)),sum(n17,pred(sum(n2,n17))))
| ~ spl3_4
| ~ spl3_25 ),
inference(backward_demodulation,[],[f9021,f823]) ).
fof(f9021,plain,
( sK0 = sum(pred(sum(sK1,n18)),sum(n17,pred(sum(sK1,n17))))
| ~ spl3_4 ),
inference(forward_demodulation,[],[f8954,f363]) ).
fof(f363,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f5]) ).
fof(f8954,plain,
( sK0 = sum(pred(sum(sK1,succ(n17))),sum(n17,pred(sum(sK1,n17))))
| ~ spl3_4 ),
inference(forward_demodulation,[],[f244,f738]) ).
fof(f738,plain,
( n17 = sK2
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl3_4
<=> n17 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f9019,plain,
( ~ spl3_4
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f9018]) ).
fof(f9018,plain,
( $false
| ~ spl3_4
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f9017,f509]) ).
fof(f9017,plain,
( n2 = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9016,f142]) ).
fof(f142,plain,
n2 = sum(n14,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f9016,plain,
( sum(n14,n9) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9015,f164]) ).
fof(f9015,plain,
( sK0 = sum(pred(n15),n9)
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9014,f434]) ).
fof(f9014,plain,
( sum(pred(sum(n18,n18)),n9) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9013,f363]) ).
fof(f9013,plain,
( sum(pred(sum(n18,succ(n17))),n9) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9012,f479]) ).
fof(f9012,plain,
( sum(pred(sum(n18,succ(n17))),sum(n17,n13)) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9011,f278]) ).
fof(f9011,plain,
( sK0 = sum(pred(sum(n18,succ(n17))),sum(n17,pred(n14)))
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9010,f373]) ).
fof(f9010,plain,
( sum(pred(sum(n18,succ(n17))),sum(n17,pred(sum(n18,n17)))) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8954,f843]) ).
fof(f9003,plain,
( ~ spl3_4
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f9002]) ).
fof(f9002,plain,
( $false
| ~ spl3_4
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f9001,f140]) ).
fof(f9001,plain,
( n14 = sK0
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f9000,f253]) ).
fof(f9000,plain,
( sum(n20,n15) = sK0
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8999,f342]) ).
fof(f8999,plain,
( sum(pred(n0),n15) = sK0
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8998,f204]) ).
fof(f8998,plain,
( sum(pred(sum(n3,n18)),n15) = sK0
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8997,f363]) ).
fof(f8997,plain,
( sum(pred(sum(n3,succ(n17))),n15) = sK0
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8996,f320]) ).
fof(f320,plain,
n15 = sum(n17,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f8996,plain,
( sum(pred(sum(n3,succ(n17))),sum(n17,n19)) = sK0
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8995,f148]) ).
fof(f8995,plain,
( sum(pred(sum(n3,succ(n17))),sum(n17,pred(n20))) = sK0
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8994,f549]) ).
fof(f549,plain,
n20 = sum(n3,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f8994,plain,
( sK0 = sum(pred(sum(n3,succ(n17))),sum(n17,pred(sum(n3,n17))))
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8954,f891]) ).
fof(f8981,plain,
( ~ spl3_4
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f8980]) ).
fof(f8980,plain,
( $false
| ~ spl3_4
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f8979,f43]) ).
fof(f43,plain,
n13 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f8979,plain,
( n13 = sK0
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8978,f126]) ).
fof(f126,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f8978,plain,
( sum(n9,n4) = sK0
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8977,f231]) ).
fof(f8977,plain,
( sK0 = sum(pred(n10),n4)
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8976,f240]) ).
fof(f8976,plain,
( sK0 = sum(pred(sum(n13,n18)),n4)
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8975,f363]) ).
fof(f8975,plain,
( sK0 = sum(pred(sum(n13,succ(n17))),n4)
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8974,f163]) ).
fof(f163,plain,
n4 = sum(n17,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8974,plain,
( sK0 = sum(pred(sum(n13,succ(n17))),sum(n17,n8))
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8973,f540]) ).
fof(f8973,plain,
( sK0 = sum(pred(sum(n13,succ(n17))),sum(n17,pred(n9)))
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8972,f350]) ).
fof(f350,plain,
n9 = sum(n13,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f8972,plain,
( sum(pred(sum(n13,succ(n17))),sum(n17,pred(sum(n13,n17)))) = sK0
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8954,f875]) ).
fof(f8964,plain,
( ~ spl3_4
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f8963]) ).
fof(f8963,plain,
( $false
| ~ spl3_4
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f8962,f432]) ).
fof(f8962,plain,
( n6 = sK0
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8961,f324]) ).
fof(f324,plain,
n6 = sum(n16,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f8961,plain,
( sum(n16,n11) = sK0
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8960,f661]) ).
fof(f8960,plain,
( sum(pred(n17),n11) = sK0
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8959,f125]) ).
fof(f8959,plain,
( sK0 = sum(pred(sum(n20,n18)),n11)
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8958,f363]) ).
fof(f8958,plain,
( sum(pred(sum(n20,succ(n17))),n11) = sK0
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8957,f558]) ).
fof(f558,plain,
n11 = sum(n17,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f8957,plain,
( sK0 = sum(pred(sum(n20,succ(n17))),sum(n17,n15))
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8956,f387]) ).
fof(f8956,plain,
( sK0 = sum(pred(sum(n20,succ(n17))),sum(n17,pred(n16)))
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8955,f685]) ).
fof(f685,plain,
n16 = sum(n20,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f8955,plain,
( sum(pred(sum(n20,succ(n17))),sum(n17,pred(sum(n20,n17)))) = sK0
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8954,f859]) ).
fof(f8953,plain,
( ~ spl3_4
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8952]) ).
fof(f8952,plain,
( $false
| ~ spl3_4
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8951,f453]) ).
fof(f8951,plain,
( n4 = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8950,f362]) ).
fof(f362,plain,
n4 = sum(n15,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f8950,plain,
( sum(n15,n10) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8949,f387]) ).
fof(f8949,plain,
( sum(pred(n16),n10) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8948,f134]) ).
fof(f134,plain,
n16 = sum(n19,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f8948,plain,
( sK0 = sum(pred(sum(n19,n18)),n10)
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8947,f363]) ).
fof(f8947,plain,
( sK0 = sum(pred(sum(n19,succ(n17))),n10)
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8946,f144]) ).
fof(f144,plain,
n10 = sum(n17,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f8946,plain,
( sum(pred(sum(n19,succ(n17))),sum(n17,n14)) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8945,f164]) ).
fof(f8945,plain,
( sum(pred(sum(n19,succ(n17))),sum(n17,pred(n15))) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8944,f139]) ).
fof(f139,plain,
n15 = sum(n19,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f8944,plain,
( sum(pred(sum(n19,succ(n17))),sum(n17,pred(sum(n19,n17)))) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(backward_demodulation,[],[f8858,f738]) ).
fof(f8858,plain,
( sum(pred(sum(n19,succ(sK2))),sum(sK2,pred(sum(n19,sK2)))) = sK0
| ~ spl3_28 ),
inference(backward_demodulation,[],[f244,f835]) ).
fof(f835,plain,
( n19 = sK1
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f833,plain,
( spl3_28
<=> n19 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f8939,plain,
( ~ spl3_5
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8938]) ).
fof(f8938,plain,
( $false
| ~ spl3_5
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8937,f43]) ).
fof(f8937,plain,
( n13 = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8936,f42]) ).
fof(f42,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f8936,plain,
( sum(n4,n9) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8935,f708]) ).
fof(f8935,plain,
( sK0 = sum(pred(n5),n9)
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8934,f212]) ).
fof(f212,plain,
n5 = sum(n19,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f8934,plain,
( sK0 = sum(pred(sum(n19,n7)),n9)
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8933,f137]) ).
fof(f8933,plain,
( sum(pred(sum(n19,succ(n6))),n9) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8932,f701]) ).
fof(f701,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f8932,plain,
( sK0 = sum(pred(sum(n19,succ(n6))),sum(n6,n3))
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8931,f165]) ).
fof(f8931,plain,
( sum(pred(sum(n19,succ(n6))),sum(n6,pred(n4))) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8930,f490]) ).
fof(f490,plain,
n4 = sum(n19,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f8930,plain,
( sum(pred(sum(n19,succ(n6))),sum(n6,pred(sum(n19,n6)))) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8858,f742]) ).
fof(f8916,plain,
( ~ spl3_1
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8915]) ).
fof(f8915,plain,
( $false
| ~ spl3_1
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8914,f637]) ).
fof(f8914,plain,
( n7 = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8913,f551]) ).
fof(f551,plain,
n7 = sum(n16,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8913,plain,
( sum(n16,n12) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8912,f661]) ).
fof(f8912,plain,
( sum(pred(n17),n12) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8911,f614]) ).
fof(f614,plain,
n17 = sum(n19,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f8911,plain,
( sum(pred(sum(n19,n19)),n12) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8910,f569]) ).
fof(f8910,plain,
( sum(pred(sum(n19,succ(n18))),n12) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8909,f690]) ).
fof(f8909,plain,
( sK0 = sum(pred(sum(n19,succ(n18))),sum(n18,n15))
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8908,f387]) ).
fof(f8908,plain,
( sK0 = sum(pred(sum(n19,succ(n18))),sum(n18,pred(n16)))
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8907,f134]) ).
fof(f8907,plain,
( sum(pred(sum(n19,succ(n18))),sum(n18,pred(sum(n19,n18)))) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8858,f726]) ).
fof(f8900,plain,
( ~ spl3_6
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8899]) ).
fof(f8899,plain,
( $false
| ~ spl3_6
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8898,f118]) ).
fof(f8898,plain,
( n16 = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8897,f134]) ).
fof(f8897,plain,
( sum(n19,n18) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8896,f148]) ).
fof(f8896,plain,
( sum(pred(n20),n18) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8895,f194]) ).
fof(f194,plain,
n20 = sum(n19,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f8895,plain,
( sum(pred(sum(n19,n1)),n18) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8894,f543]) ).
fof(f8894,plain,
( sK0 = sum(pred(sum(n19,succ(n0))),n18)
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8893,f564]) ).
fof(f564,plain,
n18 = sum(n0,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f8893,plain,
( sum(pred(sum(n19,succ(n0))),sum(n0,n18)) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8892,f576]) ).
fof(f8892,plain,
( sum(pred(sum(n19,succ(n0))),sum(n0,pred(n19))) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8891,f300]) ).
fof(f300,plain,
n19 = sum(n19,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f8891,plain,
( sK0 = sum(pred(sum(n19,succ(n0))),sum(n0,pred(sum(n19,n0))))
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8858,f746]) ).
fof(f8873,plain,
( ~ spl3_3
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8872]) ).
fof(f8872,plain,
( $false
| ~ spl3_3
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8871,f277]) ).
fof(f277,plain,
n19 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f8871,plain,
( n19 = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8870,f439]) ).
fof(f8870,plain,
( sum(n13,n6) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8869,f278]) ).
fof(f8869,plain,
( sum(pred(n14),n6) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8868,f280]) ).
fof(f280,plain,
n14 = sum(n19,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f8868,plain,
( sK0 = sum(pred(sum(n19,n16)),n6)
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8867,f109]) ).
fof(f8867,plain,
( sum(pred(sum(n19,succ(n15))),n6) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8866,f675]) ).
fof(f675,plain,
n6 = sum(n15,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8866,plain,
( sK0 = sum(pred(sum(n19,succ(n15))),sum(n15,n12))
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8865,f378]) ).
fof(f8865,plain,
( sum(pred(sum(n19,succ(n15))),sum(n15,pred(n13))) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8864,f337]) ).
fof(f337,plain,
n13 = sum(n19,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f8864,plain,
( sK0 = sum(pred(sum(n19,succ(n15))),sum(n15,pred(sum(n19,n15))))
| ~ spl3_3
| ~ spl3_28 ),
inference(backward_demodulation,[],[f8858,f734]) ).
fof(f8857,plain,
( ~ spl3_7
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f8856]) ).
fof(f8856,plain,
( $false
| ~ spl3_7
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f8855,f393]) ).
fof(f8855,plain,
( n0 = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8854,f17]) ).
fof(f17,plain,
n0 = sum(n1,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8854,plain,
( sum(n1,n20) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8853,f680]) ).
fof(f8853,plain,
( sum(pred(n2),n20) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8852,f63]) ).
fof(f8852,plain,
( sK0 = sum(pred(sum(n2,n0)),n20)
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8851,f334]) ).
fof(f8851,plain,
( sum(pred(sum(n2,n0)),sum(n20,n0)) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8850,f96]) ).
fof(f8850,plain,
( sum(pred(sum(n2,n0)),sum(n20,pred(n1))) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8849,f91]) ).
fof(f91,plain,
n1 = sum(n2,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8849,plain,
( sK0 = sum(pred(sum(n2,n0)),sum(n20,pred(sum(n2,n20))))
| ~ spl3_7
| ~ spl3_25 ),
inference(backward_demodulation,[],[f8803,f823]) ).
fof(f8803,plain,
( sK0 = sum(pred(sum(sK1,n0)),sum(n20,pred(sum(sK1,n20))))
| ~ spl3_7 ),
inference(forward_demodulation,[],[f8755,f370]) ).
fof(f370,plain,
n0 = succ(n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8755,plain,
( sK0 = sum(pred(sum(sK1,succ(n20))),sum(n20,pred(sum(sK1,n20))))
| ~ spl3_7 ),
inference(forward_demodulation,[],[f244,f750]) ).
fof(f750,plain,
( n20 = sK2
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f748,plain,
( spl3_7
<=> n20 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f8829,plain,
( ~ spl3_7
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f8828]) ).
fof(f8828,plain,
( $false
| ~ spl3_7
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f8827,f60]) ).
fof(f8827,plain,
( n1 = sK0
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8826,f429]) ).
fof(f429,plain,
n1 = sum(n12,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f8826,plain,
( sum(n12,n10) = sK0
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8825,f378]) ).
fof(f8825,plain,
( sum(pred(n13),n10) = sK0
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8824,f390]) ).
fof(f8824,plain,
( sK0 = sum(pred(sum(n13,n0)),n10)
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8823,f242]) ).
fof(f242,plain,
n10 = sum(n20,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f8823,plain,
( sK0 = sum(pred(sum(n13,n0)),sum(n20,n11))
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8822,f461]) ).
fof(f8822,plain,
( sum(pred(sum(n13,n0)),sum(n20,pred(n12))) = sK0
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8821,f497]) ).
fof(f497,plain,
n12 = sum(n13,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8821,plain,
( sum(pred(sum(n13,n0)),sum(n20,pred(sum(n13,n20)))) = sK0
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8803,f875]) ).
fof(f8814,plain,
( ~ spl3_7
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f8813]) ).
fof(f8813,plain,
( $false
| ~ spl3_7
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f8812,f12]) ).
fof(f8812,plain,
( n11 = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8811,f558]) ).
fof(f8811,plain,
( sum(n17,n15) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8810,f622]) ).
fof(f8810,plain,
( sum(pred(n18),n15) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8809,f175]) ).
fof(f8809,plain,
( sum(pred(sum(n18,n0)),n15) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8808,f561]) ).
fof(f8808,plain,
( sum(pred(sum(n18,n0)),sum(n20,n16)) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8807,f661]) ).
fof(f8807,plain,
( sum(pred(sum(n18,n0)),sum(n20,pred(n17))) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8806,f23]) ).
fof(f8806,plain,
( sum(pred(sum(n18,n0)),sum(n20,pred(sum(n18,n20)))) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(backward_demodulation,[],[f8803,f843]) ).
fof(f8801,plain,
( ~ spl3_7
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f8800]) ).
fof(f8800,plain,
( $false
| ~ spl3_7
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f8799,f509]) ).
fof(f8799,plain,
( n2 = sK0
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8798,f63]) ).
fof(f8798,plain,
( sum(n2,n0) = sK0
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8797,f480]) ).
fof(f8797,plain,
( sum(pred(n3),n0) = sK0
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8796,f229]) ).
fof(f8796,plain,
( sK0 = sum(pred(sum(n3,n0)),n0)
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8795,f370]) ).
fof(f8795,plain,
( sK0 = sum(pred(sum(n3,succ(n20))),n0)
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8794,f157]) ).
fof(f8794,plain,
( sum(pred(sum(n3,succ(n20))),sum(n20,n1)) = sK0
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8793,f680]) ).
fof(f8793,plain,
( sum(pred(sum(n3,succ(n20))),sum(n20,pred(n2))) = sK0
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8792,f341]) ).
fof(f341,plain,
n2 = sum(n3,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8792,plain,
( sK0 = sum(pred(sum(n3,succ(n20))),sum(n20,pred(sum(n3,n20))))
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8755,f891]) ).
fof(f8776,plain,
( ~ spl3_7
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8775]) ).
fof(f8775,plain,
( $false
| ~ spl3_7
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8774,f43]) ).
fof(f8774,plain,
( n13 = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8773,f310]) ).
fof(f8773,plain,
( sum(n18,n16) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8772,f576]) ).
fof(f8772,plain,
( sum(pred(n19),n16) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8771,f300]) ).
fof(f8771,plain,
( sK0 = sum(pred(sum(n19,n0)),n16)
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8770,f370]) ).
fof(f8770,plain,
( sum(pred(sum(n19,succ(n20))),n16) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8769,f685]) ).
fof(f8769,plain,
( sum(pred(sum(n19,succ(n20))),sum(n20,n17)) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8768,f622]) ).
fof(f8768,plain,
( sum(pred(sum(n19,succ(n20))),sum(n20,pred(n18))) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8767,f233]) ).
fof(f233,plain,
n18 = sum(n19,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8767,plain,
( sK0 = sum(pred(sum(n19,succ(n20))),sum(n20,pred(sum(n19,n20))))
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8755,f835]) ).
fof(f8765,plain,
( ~ spl3_7
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f8764]) ).
fof(f8764,plain,
( $false
| ~ spl3_7
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f8763,f128]) ).
fof(f8763,plain,
( n15 = sK0
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8762,f139]) ).
fof(f8762,plain,
( sum(n19,n17) = sK0
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8761,f148]) ).
fof(f8761,plain,
( sum(pred(n20),n17) = sK0
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8760,f334]) ).
fof(f8760,plain,
( sum(pred(sum(n20,n0)),n17) = sK0
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8759,f370]) ).
fof(f8759,plain,
( sum(pred(sum(n20,succ(n20))),n17) = sK0
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8758,f125]) ).
fof(f8758,plain,
( sK0 = sum(pred(sum(n20,succ(n20))),sum(n20,n18))
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8757,f576]) ).
fof(f8757,plain,
( sum(pred(sum(n20,succ(n20))),sum(n20,pred(n19))) = sK0
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8756,f195]) ).
fof(f195,plain,
n19 = sum(n20,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8756,plain,
( sum(pred(sum(n20,succ(n20))),sum(n20,pred(sum(n20,n20)))) = sK0
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8755,f859]) ).
fof(f8754,plain,
( ~ spl3_3
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8753]) ).
fof(f8753,plain,
( $false
| ~ spl3_3
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8752,f111]) ).
fof(f8752,plain,
( n5 = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8751,f386]) ).
fof(f386,plain,
n5 = sum(n6,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8751,plain,
( sum(n6,n20) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8750,f423]) ).
fof(f8750,plain,
( sum(pred(n7),n20) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8749,f135]) ).
fof(f135,plain,
n7 = sum(n12,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f8749,plain,
( sum(pred(sum(n12,n16)),n20) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8748,f109]) ).
fof(f8748,plain,
( sK0 = sum(pred(sum(n12,succ(n15))),n20)
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8747,f638]) ).
fof(f638,plain,
n20 = sum(n15,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f8747,plain,
( sK0 = sum(pred(sum(n12,succ(n15))),sum(n15,n5))
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8746,f581]) ).
fof(f8746,plain,
( sum(pred(sum(n12,succ(n15))),sum(n15,pred(n6))) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8745,f528]) ).
fof(f528,plain,
n6 = sum(n12,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f8745,plain,
( sum(pred(sum(n12,succ(n15))),sum(n15,pred(sum(n12,n15)))) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8650,f734]) ).
fof(f8650,plain,
( sum(pred(sum(n12,succ(sK2))),sum(sK2,pred(sum(n12,sK2)))) = sK0
| ~ spl3_23 ),
inference(forward_demodulation,[],[f244,f815]) ).
fof(f815,plain,
( n12 = sK1
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f813,plain,
( spl3_23
<=> n12 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f8738,plain,
( ~ spl3_5
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8737]) ).
fof(f8737,plain,
( $false
| ~ spl3_5
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8736,f663]) ).
fof(f663,plain,
n20 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f8736,plain,
( n20 = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8735,f97]) ).
fof(f97,plain,
n20 = sum(n18,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f8735,plain,
( sum(n18,n2) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8734,f576]) ).
fof(f8734,plain,
( sum(pred(n19),n2) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8733,f98]) ).
fof(f98,plain,
n19 = sum(n12,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f8733,plain,
( sK0 = sum(pred(sum(n12,n7)),n2)
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8732,f137]) ).
fof(f8732,plain,
( sum(pred(sum(n12,succ(n6))),n2) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8731,f216]) ).
fof(f216,plain,
n2 = sum(n6,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f8731,plain,
( sK0 = sum(pred(sum(n12,succ(n6))),sum(n6,n17))
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8730,f622]) ).
fof(f8730,plain,
( sum(pred(sum(n12,succ(n6))),sum(n6,pred(n18))) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8729,f568]) ).
fof(f568,plain,
n18 = sum(n12,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f8729,plain,
( sum(pred(sum(n12,succ(n6))),sum(n6,pred(sum(n12,n6)))) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8650,f742]) ).
fof(f8715,plain,
( ~ spl3_7
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8714]) ).
fof(f8714,plain,
( $false
| ~ spl3_7
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8713,f663]) ).
fof(f8713,plain,
( n20 = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8712,f383]) ).
fof(f383,plain,
n20 = sum(n11,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f8712,plain,
( sum(n11,n9) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8711,f461]) ).
fof(f8711,plain,
( sum(pred(n12),n9) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8710,f435]) ).
fof(f435,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f8710,plain,
( sum(pred(sum(n12,n0)),n9) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8709,f370]) ).
fof(f8709,plain,
( sK0 = sum(pred(sum(n12,succ(n20))),n9)
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8708,f619]) ).
fof(f619,plain,
n9 = sum(n20,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f8708,plain,
( sK0 = sum(pred(sum(n12,succ(n20))),sum(n20,n10))
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8707,f45]) ).
fof(f8707,plain,
( sum(pred(sum(n12,succ(n20))),sum(n20,pred(n11))) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8706,f710]) ).
fof(f710,plain,
n11 = sum(n12,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8706,plain,
( sK0 = sum(pred(sum(n12,succ(n20))),sum(n20,pred(sum(n12,n20))))
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8650,f750]) ).
fof(f8705,plain,
( ~ spl3_1
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8704]) ).
fof(f8704,plain,
( $false
| ~ spl3_1
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8703,f140]) ).
fof(f8703,plain,
( n14 = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8702,f417]) ).
fof(f417,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f8702,plain,
( sum(n9,n5) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8701,f231]) ).
fof(f8701,plain,
( sum(pred(n10),n5) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8700,f703]) ).
fof(f703,plain,
n10 = sum(n12,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f8700,plain,
( sum(pred(sum(n12,n19)),n5) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8699,f569]) ).
fof(f8699,plain,
( sum(pred(sum(n12,succ(n18))),n5) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8698,f411]) ).
fof(f411,plain,
n5 = sum(n18,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8698,plain,
( sK0 = sum(pred(sum(n12,succ(n18))),sum(n18,n8))
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8697,f540]) ).
fof(f8697,plain,
( sum(pred(sum(n12,succ(n18))),sum(n18,pred(n9))) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8696,f468]) ).
fof(f468,plain,
n9 = sum(n12,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f8696,plain,
( sum(pred(sum(n12,succ(n18))),sum(n18,pred(sum(n12,n18)))) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8650,f726]) ).
fof(f8692,plain,
( ~ spl3_6
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8691]) ).
fof(f8691,plain,
( $false
| ~ spl3_6
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8690,f509]) ).
fof(f8690,plain,
( n2 = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8689,f554]) ).
fof(f554,plain,
n2 = sum(n12,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f8689,plain,
( sum(n12,n11) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8688,f378]) ).
fof(f8688,plain,
( sum(pred(n13),n11) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8687,f295]) ).
fof(f295,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f8687,plain,
( sum(pred(sum(n12,n1)),n11) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8686,f543]) ).
fof(f8686,plain,
( sum(pred(sum(n12,succ(n0))),n11) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8685,f599]) ).
fof(f599,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f8685,plain,
( sK0 = sum(pred(sum(n12,succ(n0))),sum(n0,n11))
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8684,f461]) ).
fof(f8684,plain,
( sum(pred(sum(n12,succ(n0))),sum(n0,pred(n12))) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8683,f435]) ).
fof(f8683,plain,
( sK0 = sum(pred(sum(n12,succ(n0))),sum(n0,pred(sum(n12,n0))))
| ~ spl3_6
| ~ spl3_23 ),
inference(backward_demodulation,[],[f8650,f746]) ).
fof(f8663,plain,
( ~ spl3_4
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8662]) ).
fof(f8662,plain,
( $false
| ~ spl3_4
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8661,f12]) ).
fof(f8661,plain,
( n11 = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8660,f58]) ).
fof(f58,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f8660,plain,
( sum(n8,n3) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8659,f540]) ).
fof(f8659,plain,
( sum(pred(n9),n3) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8658,f468]) ).
fof(f8658,plain,
( sum(pred(sum(n12,n18)),n3) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8657,f363]) ).
fof(f8657,plain,
( sum(pred(sum(n12,succ(n17))),n3) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8656,f326]) ).
fof(f326,plain,
n3 = sum(n17,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f8656,plain,
( sK0 = sum(pred(sum(n12,succ(n17))),sum(n17,n7))
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8655,f245]) ).
fof(f8655,plain,
( sum(pred(sum(n12,succ(n17))),sum(n17,pred(n8))) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8654,f50]) ).
fof(f50,plain,
n8 = sum(n12,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f8654,plain,
( sum(pred(sum(n12,succ(n17))),sum(n17,pred(sum(n12,n17)))) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(backward_demodulation,[],[f8650,f738]) ).
fof(f8642,plain,
( ~ spl3_14
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f8641]) ).
fof(f8641,plain,
( $false
| ~ spl3_14
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f8640,f277]) ).
fof(f8640,plain,
( n19 = sK0
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8639,f620]) ).
fof(f620,plain,
n19 = sum(n4,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f8639,plain,
( sum(n4,n15) = sK0
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8638,f708]) ).
fof(f8638,plain,
( sum(pred(n5),n15) = sK0
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8637,f62]) ).
fof(f62,plain,
n5 = sum(n13,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8637,plain,
( sum(pred(sum(n13,n13)),n15) = sK0
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8636,f232]) ).
fof(f232,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f8636,plain,
( sK0 = sum(pred(sum(n13,n13)),sum(n12,n3))
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8635,f165]) ).
fof(f8635,plain,
( sK0 = sum(pred(sum(n13,n13)),sum(n12,pred(n4)))
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8634,f302]) ).
fof(f8634,plain,
( sum(pred(sum(n13,n13)),sum(n12,pred(sum(n13,n12)))) = sK0
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8530,f875]) ).
fof(f8530,plain,
( sum(pred(sum(sK1,n13)),sum(n12,pred(sum(sK1,n12)))) = sK0
| ~ spl3_14 ),
inference(forward_demodulation,[],[f8523,f322]) ).
fof(f322,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f5]) ).
fof(f8523,plain,
( sK0 = sum(pred(sum(sK1,succ(n12))),sum(n12,pred(sum(sK1,n12))))
| ~ spl3_14 ),
inference(backward_demodulation,[],[f244,f778]) ).
fof(f778,plain,
( n12 = sK2
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl3_14
<=> n12 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f8627,plain,
( ~ spl3_14
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f8626]) ).
fof(f8626,plain,
( $false
| ~ spl3_14
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f8625,f306]) ).
fof(f8625,plain,
( n8 = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8624,f213]) ).
fof(f213,plain,
n8 = sum(n9,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8624,plain,
( sum(n9,n20) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8623,f231]) ).
fof(f8623,plain,
( sum(pred(n10),n20) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8622,f419]) ).
fof(f419,plain,
n10 = sum(n18,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8622,plain,
( sum(pred(sum(n18,n13)),n20) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8621,f209]) ).
fof(f209,plain,
n20 = sum(n12,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8621,plain,
( sum(pred(sum(n18,n13)),sum(n12,n8)) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8620,f540]) ).
fof(f8620,plain,
( sK0 = sum(pred(sum(n18,n13)),sum(n12,pred(n9)))
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8619,f107]) ).
fof(f107,plain,
n9 = sum(n18,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8619,plain,
( sK0 = sum(pred(sum(n18,n13)),sum(n12,pred(sum(n18,n12))))
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8530,f843]) ).
fof(f8614,plain,
( ~ spl3_14
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8613]) ).
fof(f8613,plain,
( $false
| ~ spl3_14
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8612,f307]) ).
fof(f8612,plain,
( n17 = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8611,f269]) ).
fof(f269,plain,
n17 = sum(n3,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f8611,plain,
( sum(n3,n14) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8610,f165]) ).
fof(f8610,plain,
( sum(pred(n4),n14) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8609,f431]) ).
fof(f431,plain,
n4 = sum(n12,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8609,plain,
( sK0 = sum(pred(sum(n12,n13)),n14)
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8608,f303]) ).
fof(f303,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f8608,plain,
( sum(pred(sum(n12,n13)),sum(n12,n2)) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8607,f480]) ).
fof(f8607,plain,
( sum(pred(sum(n12,n13)),sum(n12,pred(n3))) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8606,f672]) ).
fof(f672,plain,
n3 = sum(n12,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8606,plain,
( sum(pred(sum(n12,n13)),sum(n12,pred(sum(n12,n12)))) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(backward_demodulation,[],[f8530,f815]) ).
fof(f8595,plain,
( ~ spl3_14
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f8594]) ).
fof(f8594,plain,
( $false
| ~ spl3_14
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f8593,f663]) ).
fof(f8593,plain,
( n20 = sK0
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8592,f638]) ).
fof(f8592,plain,
( sum(n15,n5) = sK0
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8591,f387]) ).
fof(f8591,plain,
( sum(pred(n16),n5) = sK0
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8590,f167]) ).
fof(f167,plain,
n16 = sum(n3,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8590,plain,
( sum(pred(sum(n3,n13)),n5) = sK0
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8589,f81]) ).
fof(f81,plain,
n5 = sum(n12,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f8589,plain,
( sum(pred(sum(n3,n13)),sum(n12,n14)) = sK0
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8588,f164]) ).
fof(f8588,plain,
( sum(pred(sum(n3,n13)),sum(n12,pred(n15))) = sK0
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8587,f346]) ).
fof(f346,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8587,plain,
( sum(pred(sum(n3,n13)),sum(n12,pred(sum(n3,n12)))) = sK0
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8530,f891]) ).
fof(f8574,plain,
( ~ spl3_14
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f8573]) ).
fof(f8573,plain,
( $false
| ~ spl3_14
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f8572,f470]) ).
fof(f8572,plain,
( n18 = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8571,f18]) ).
fof(f18,plain,
n18 = sum(n14,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f8571,plain,
( sum(n14,n4) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8570,f164]) ).
fof(f8570,plain,
( sum(pred(n15),n4) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8569,f463]) ).
fof(f463,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8569,plain,
( sum(pred(sum(n2,n13)),n4) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8568,f431]) ).
fof(f8568,plain,
( sK0 = sum(pred(sum(n2,n13)),sum(n12,n13))
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8567,f278]) ).
fof(f8567,plain,
( sum(pred(sum(n2,n13)),sum(n12,pred(n14))) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8566,f440]) ).
fof(f440,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8566,plain,
( sum(pred(sum(n2,n13)),sum(n12,pred(sum(n2,n12)))) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8530,f823]) ).
fof(f8550,plain,
( ~ spl3_14
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8549]) ).
fof(f8549,plain,
( $false
| ~ spl3_14
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8548,f102]) ).
fof(f102,plain,
n10 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f8548,plain,
( n10 = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8547,f489]) ).
fof(f489,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f8547,plain,
( sum(n10,n0) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8546,f45]) ).
fof(f8546,plain,
( sum(pred(n11),n0) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8545,f35]) ).
fof(f35,plain,
n11 = sum(n19,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8545,plain,
( sum(pred(sum(n19,n13)),n0) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8544,f336]) ).
fof(f336,plain,
n0 = sum(n12,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f8544,plain,
( sum(pred(sum(n19,n13)),sum(n12,n9)) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8543,f231]) ).
fof(f8543,plain,
( sum(pred(sum(n19,n13)),sum(n12,pred(n10))) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8542,f493]) ).
fof(f493,plain,
n10 = sum(n19,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8542,plain,
( sum(pred(sum(n19,n13)),sum(n12,pred(sum(n19,n12)))) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(backward_demodulation,[],[f8530,f835]) ).
fof(f8540,plain,
( ~ spl3_14
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f8539]) ).
fof(f8539,plain,
( $false
| ~ spl3_14
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f8538,f44]) ).
fof(f8538,plain,
( n12 = sK0
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8537,f247]) ).
fof(f247,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f8537,plain,
( sum(n11,n1) = sK0
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8536,f461]) ).
fof(f8536,plain,
( sK0 = sum(pred(n12),n1)
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8535,f48]) ).
fof(f48,plain,
n12 = sum(n20,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8535,plain,
( sum(pred(sum(n20,n13)),n1) = sK0
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8534,f429]) ).
fof(f8534,plain,
( sK0 = sum(pred(sum(n20,n13)),sum(n12,n10))
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8533,f45]) ).
fof(f8533,plain,
( sum(pred(sum(n20,n13)),sum(n12,pred(n11))) = sK0
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8532,f99]) ).
fof(f99,plain,
n11 = sum(n20,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8532,plain,
( sK0 = sum(pred(sum(n20,n13)),sum(n12,pred(sum(n20,n12))))
| ~ spl3_14
| ~ spl3_34 ),
inference(backward_demodulation,[],[f8530,f859]) ).
fof(f8521,plain,
( ~ spl3_1
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8520]) ).
fof(f8520,plain,
( $false
| ~ spl3_1
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8519,f393]) ).
fof(f8519,plain,
( n0 = sK0
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8518,f191]) ).
fof(f8518,plain,
( sum(n2,n19) = sK0
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8517,f480]) ).
fof(f8517,plain,
( sK0 = sum(pred(n3),n19)
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8516,f376]) ).
fof(f376,plain,
n3 = sum(n5,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f8516,plain,
( sum(pred(sum(n5,n19)),n19) = sK0
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8515,f569]) ).
fof(f8515,plain,
( sum(pred(sum(n5,succ(n18))),n19) = sK0
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8514,f539]) ).
fof(f8514,plain,
( sum(pred(sum(n5,succ(n18))),sum(n18,n1)) = sK0
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8513,f680]) ).
fof(f8513,plain,
( sK0 = sum(pred(sum(n5,succ(n18))),sum(n18,pred(n2)))
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8512,f154]) ).
fof(f154,plain,
n2 = sum(n5,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f8512,plain,
( sum(pred(sum(n5,succ(n18))),sum(n18,pred(sum(n5,n18)))) = sK0
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8511,f883]) ).
fof(f883,plain,
( n5 = sK1
| ~ spl3_40 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f881,plain,
( spl3_40
<=> n5 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f8511,plain,
( sum(pred(sum(sK1,succ(n18))),sum(n18,pred(sum(sK1,n18)))) = sK0
| ~ spl3_1 ),
inference(forward_demodulation,[],[f244,f726]) ).
fof(f8509,plain,
( ~ spl3_14
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8508]) ).
fof(f8508,plain,
( $false
| ~ spl3_14
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8507,f8]) ).
fof(f8507,plain,
( n3 = sK0
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8506,f326]) ).
fof(f8506,plain,
( sum(n17,n7) = sK0
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8505,f622]) ).
fof(f8505,plain,
( sK0 = sum(pred(n18),n7)
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8504,f659]) ).
fof(f659,plain,
n18 = sum(n5,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8504,plain,
( sK0 = sum(pred(sum(n5,n13)),n7)
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8503,f322]) ).
fof(f8503,plain,
( sK0 = sum(pred(sum(n5,succ(n12))),n7)
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8502,f135]) ).
fof(f8502,plain,
( sum(pred(sum(n5,succ(n12))),sum(n12,n16)) = sK0
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8501,f661]) ).
fof(f8501,plain,
( sum(pred(sum(n5,succ(n12))),sum(n12,pred(n17))) = sK0
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8500,f687]) ).
fof(f687,plain,
n17 = sum(n5,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8500,plain,
( sum(pred(sum(n5,succ(n12))),sum(n12,pred(sum(n5,n12)))) = sK0
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8499,f883]) ).
fof(f8499,plain,
( sK0 = sum(pred(sum(sK1,succ(n12))),sum(n12,pred(sum(sK1,n12))))
| ~ spl3_14 ),
inference(forward_demodulation,[],[f244,f778]) ).
fof(f8490,plain,
( ~ spl3_5
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8489]) ).
fof(f8489,plain,
( $false
| ~ spl3_5
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8488,f432]) ).
fof(f8488,plain,
( n6 = sK0
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8487,f190]) ).
fof(f190,plain,
n6 = sum(n11,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f8487,plain,
( sum(n11,n16) = sK0
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8486,f461]) ).
fof(f8486,plain,
( sK0 = sum(pred(n12),n16)
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8485,f131]) ).
fof(f131,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f8485,plain,
( sK0 = sum(pred(sum(n5,n7)),n16)
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8484,f137]) ).
fof(f8484,plain,
( sK0 = sum(pred(sum(n5,succ(n6))),n16)
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8483,f722]) ).
fof(f722,plain,
n16 = sum(n6,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f8483,plain,
( sK0 = sum(pred(sum(n5,succ(n6))),sum(n6,n10))
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8482,f45]) ).
fof(f8482,plain,
( sum(pred(sum(n5,succ(n6))),sum(n6,pred(n11))) = sK0
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8481,f129]) ).
fof(f129,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f8481,plain,
( sum(pred(sum(n5,succ(n6))),sum(n6,pred(sum(n5,n6)))) = sK0
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8480,f883]) ).
fof(f8480,plain,
( sum(pred(sum(sK1,succ(n6))),sum(n6,pred(sum(sK1,n6)))) = sK0
| ~ spl3_5 ),
inference(forward_demodulation,[],[f244,f742]) ).
fof(f8465,plain,
( ~ spl3_3
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8464]) ).
fof(f8464,plain,
( $false
| ~ spl3_3
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8463,f44]) ).
fof(f8463,plain,
( n12 = sK0
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8462,f48]) ).
fof(f8462,plain,
( sum(n20,n13) = sK0
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8461,f342]) ).
fof(f8461,plain,
( sum(pred(n0),n13) = sK0
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8460,f421]) ).
fof(f421,plain,
n0 = sum(n5,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f8460,plain,
( sum(pred(sum(n5,n16)),n13) = sK0
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8459,f109]) ).
fof(f8459,plain,
( sum(pred(sum(n5,succ(n15))),n13) = sK0
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8458,f400]) ).
fof(f400,plain,
n13 = sum(n15,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f8458,plain,
( sum(pred(sum(n5,succ(n15))),sum(n15,n19)) = sK0
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8457,f148]) ).
fof(f8457,plain,
( sK0 = sum(pred(sum(n5,succ(n15))),sum(n15,pred(n20)))
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8456,f593]) ).
fof(f593,plain,
n20 = sum(n5,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f8456,plain,
( sum(pred(sum(n5,succ(n15))),sum(n15,pred(sum(n5,n15)))) = sK0
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8455,f883]) ).
fof(f8455,plain,
( sum(pred(sum(sK1,succ(n15))),sum(n15,pred(sum(sK1,n15)))) = sK0
| ~ spl3_3 ),
inference(forward_demodulation,[],[f244,f734]) ).
fof(f8448,plain,
( ~ spl3_4
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8447]) ).
fof(f8447,plain,
( $false
| ~ spl3_4
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8446,f470]) ).
fof(f8446,plain,
( n18 = sK0
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8445,f459]) ).
fof(f459,plain,
n18 = sum(n1,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f8445,plain,
( sum(n1,n17) = sK0
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8444,f680]) ).
fof(f8444,plain,
( sK0 = sum(pred(n2),n17)
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8443,f154]) ).
fof(f8443,plain,
( sum(pred(sum(n5,n18)),n17) = sK0
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8442,f363]) ).
fof(f8442,plain,
( sum(pred(sum(n5,succ(n17))),n17) = sK0
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8441,f170]) ).
fof(f170,plain,
n17 = sum(n17,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f8441,plain,
( sum(pred(sum(n5,succ(n17))),sum(n17,n0)) = sK0
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8440,f96]) ).
fof(f8440,plain,
( sum(pred(sum(n5,succ(n17))),sum(n17,pred(n1))) = sK0
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8439,f522]) ).
fof(f522,plain,
n1 = sum(n5,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f8439,plain,
( sK0 = sum(pred(sum(n5,succ(n17))),sum(n17,pred(sum(n5,n17))))
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8438,f883]) ).
fof(f8438,plain,
( sK0 = sum(pred(sum(sK1,succ(n17))),sum(n17,pred(sum(sK1,n17))))
| ~ spl3_4 ),
inference(forward_demodulation,[],[f244,f738]) ).
fof(f8435,plain,
( ~ spl3_6
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8434]) ).
fof(f8434,plain,
( $false
| ~ spl3_6
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8433,f123]) ).
fof(f8433,plain,
( n9 = sK0
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8432,f59]) ).
fof(f59,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f8432,plain,
( sum(n5,n4) = sK0
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8431,f581]) ).
fof(f8431,plain,
( sum(pred(n6),n4) = sK0
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8430,f578]) ).
fof(f578,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f8430,plain,
( sum(pred(sum(n5,n1)),n4) = sK0
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8429,f543]) ).
fof(f8429,plain,
( sK0 = sum(pred(sum(n5,succ(n0))),n4)
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8428,f377]) ).
fof(f377,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f8428,plain,
( sum(pred(sum(n5,succ(n0))),sum(n0,n4)) = sK0
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8427,f708]) ).
fof(f8427,plain,
( sK0 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(n5)))
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8426,f579]) ).
fof(f579,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f8426,plain,
( sum(pred(sum(n5,succ(n0))),sum(n0,pred(sum(n5,n0)))) = sK0
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8425,f883]) ).
fof(f8425,plain,
( sum(pred(sum(sK1,succ(n0))),sum(n0,pred(sum(sK1,n0)))) = sK0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f244,f746]) ).
fof(f8402,plain,
( ~ spl3_7
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8401]) ).
fof(f8401,plain,
( $false
| ~ spl3_7
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8400,f432]) ).
fof(f8400,plain,
( n6 = sK0
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8399,f211]) ).
fof(f211,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f8399,plain,
( sum(n4,n2) = sK0
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8398,f708]) ).
fof(f8398,plain,
( sum(pred(n5),n2) = sK0
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8397,f579]) ).
fof(f8397,plain,
( sum(pred(sum(n5,n0)),n2) = sK0
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8396,f370]) ).
fof(f8396,plain,
( sum(pred(sum(n5,succ(n20))),n2) = sK0
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8395,f704]) ).
fof(f704,plain,
n2 = sum(n20,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f8395,plain,
( sK0 = sum(pred(sum(n5,succ(n20))),sum(n20,n3))
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8394,f165]) ).
fof(f8394,plain,
( sum(pred(sum(n5,succ(n20))),sum(n20,pred(n4))) = sK0
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8393,f230]) ).
fof(f230,plain,
n4 = sum(n5,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8393,plain,
( sK0 = sum(pred(sum(n5,succ(n20))),sum(n20,pred(sum(n5,n20))))
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8392,f883]) ).
fof(f8392,plain,
( sK0 = sum(pred(sum(sK1,succ(n20))),sum(n20,pred(sum(sK1,n20))))
| ~ spl3_7 ),
inference(forward_demodulation,[],[f244,f750]) ).
fof(f8379,plain,
( ~ spl3_13
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f8378]) ).
fof(f8378,plain,
( $false
| ~ spl3_13
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f8377,f140]) ).
fof(f8377,plain,
( n14 = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8376,f193]) ).
fof(f193,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f8376,plain,
( sum(n4,n10) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8375,f708]) ).
fof(f8375,plain,
( sum(pred(n5),n10) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8374,f411]) ).
fof(f8374,plain,
( sum(pred(sum(n18,n8)),n10) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8373,f610]) ).
fof(f610,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f8373,plain,
( sum(pred(sum(n18,n8)),sum(n7,n3)) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8372,f165]) ).
fof(f8372,plain,
( sK0 = sum(pred(sum(n18,n8)),sum(n7,pred(n4)))
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8371,f488]) ).
fof(f8371,plain,
( sum(pred(sum(n18,n8)),sum(n7,pred(sum(n18,n7)))) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8228,f843]) ).
fof(f8228,plain,
( sum(pred(sum(sK1,n8)),sum(n7,pred(sum(sK1,n7)))) = sK0
| ~ spl3_13 ),
inference(forward_demodulation,[],[f8226,f413]) ).
fof(f413,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f5]) ).
fof(f8226,plain,
( sum(pred(sum(sK1,succ(n7))),sum(n7,pred(sum(sK1,n7)))) = sK0
| ~ spl3_13 ),
inference(backward_demodulation,[],[f244,f774]) ).
fof(f774,plain,
( n7 = sK2
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f772,plain,
( spl3_13
<=> n7 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f8361,plain,
( ~ spl3_13
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f8360]) ).
fof(f8360,plain,
( $false
| ~ spl3_13
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f8359,f453]) ).
fof(f8359,plain,
( n4 = sK0
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8358,f438]) ).
fof(f438,plain,
n4 = sum(n20,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f8358,plain,
( sum(n20,n5) = sK0
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8357,f342]) ).
fof(f8357,plain,
( sK0 = sum(pred(n0),n5)
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8356,f469]) ).
fof(f469,plain,
n0 = sum(n13,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8356,plain,
( sK0 = sum(pred(sum(n13,n8)),n5)
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8355,f89]) ).
fof(f89,plain,
n5 = sum(n7,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f8355,plain,
( sum(pred(sum(n13,n8)),sum(n7,n19)) = sK0
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8354,f148]) ).
fof(f8354,plain,
( sK0 = sum(pred(sum(n13,n8)),sum(n7,pred(n20)))
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8353,f52]) ).
fof(f8353,plain,
( sum(pred(sum(n13,n8)),sum(n7,pred(sum(n13,n7)))) = sK0
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8228,f875]) ).
fof(f8350,plain,
( ~ spl3_13
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f8349]) ).
fof(f8349,plain,
( $false
| ~ spl3_13
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f8348,f111]) ).
fof(f8348,plain,
( n5 = sK0
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8347,f323]) ).
fof(f323,plain,
n5 = sum(n10,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f8347,plain,
( sum(n10,n16) = sK0
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8346,f45]) ).
fof(f8346,plain,
( sum(pred(n11),n16) = sK0
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8345,f61]) ).
fof(f8345,plain,
( sum(pred(sum(n3,n8)),n16) = sK0
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8344,f545]) ).
fof(f545,plain,
n16 = sum(n7,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f8344,plain,
( sum(pred(sum(n3,n8)),sum(n7,n9)) = sK0
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8343,f231]) ).
fof(f8343,plain,
( sum(pred(sum(n3,n8)),sum(n7,pred(n10))) = sK0
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f8342,f196]) ).
fof(f8342,plain,
( sum(pred(sum(n3,n8)),sum(n7,pred(sum(n3,n7)))) = sK0
| ~ spl3_13
| ~ spl3_42 ),
inference(backward_demodulation,[],[f8228,f891]) ).
fof(f8325,plain,
( ~ spl3_13
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8324]) ).
fof(f8324,plain,
( $false
| ~ spl3_13
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8323,f118]) ).
fof(f8323,plain,
( n16 = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8322,f9]) ).
fof(f9,plain,
n16 = sum(n5,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f8322,plain,
( sum(n5,n11) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8321,f581]) ).
fof(f8321,plain,
( sum(pred(n6),n11) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8320,f115]) ).
fof(f115,plain,
n6 = sum(n19,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8320,plain,
( sK0 = sum(pred(sum(n19,n8)),n11)
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8319,f465]) ).
fof(f465,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f8319,plain,
( sum(pred(sum(n19,n8)),sum(n7,n4)) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8318,f708]) ).
fof(f8318,plain,
( sK0 = sum(pred(sum(n19,n8)),sum(n7,pred(n5)))
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8317,f212]) ).
fof(f8317,plain,
( sum(pred(sum(n19,n8)),sum(n7,pred(sum(n19,n7)))) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8228,f835]) ).
fof(f8314,plain,
( ~ spl3_13
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f8313]) ).
fof(f8313,plain,
( $false
| ~ spl3_13
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f8312,f8]) ).
fof(f8312,plain,
( n3 = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8311,f617]) ).
fof(f617,plain,
n3 = sum(n9,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f8311,plain,
( sum(n9,n15) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8310,f231]) ).
fof(f8310,plain,
( sum(pred(n10),n15) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8309,f682]) ).
fof(f682,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8309,plain,
( sum(pred(sum(n2,n8)),n15) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8308,f158]) ).
fof(f158,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8308,plain,
( sK0 = sum(pred(sum(n2,n8)),sum(n7,n8))
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8307,f540]) ).
fof(f8307,plain,
( sum(pred(sum(n2,n8)),sum(n7,pred(n9))) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8306,f68]) ).
fof(f8306,plain,
( sum(pred(sum(n2,n8)),sum(n7,pred(sum(n2,n7)))) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(backward_demodulation,[],[f8228,f823]) ).
fof(f8285,plain,
( ~ spl3_13
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8284]) ).
fof(f8284,plain,
( $false
| ~ spl3_13
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8283,f509]) ).
fof(f8283,plain,
( n2 = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8282,f224]) ).
fof(f224,plain,
n2 = sum(n19,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f8282,plain,
( sum(n19,n4) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8281,f148]) ).
fof(f8281,plain,
( sK0 = sum(pred(n20),n4)
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8280,f209]) ).
fof(f8280,plain,
( sum(pred(sum(n12,n8)),n4) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8279,f7]) ).
fof(f7,plain,
n4 = sum(n7,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f8279,plain,
( sK0 = sum(pred(sum(n12,n8)),sum(n7,n18))
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8278,f576]) ).
fof(f8278,plain,
( sK0 = sum(pred(sum(n12,n8)),sum(n7,pred(n19)))
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8277,f98]) ).
fof(f8277,plain,
( sK0 = sum(pred(sum(n12,n8)),sum(n7,pred(sum(n12,n7))))
| ~ spl3_13
| ~ spl3_23 ),
inference(backward_demodulation,[],[f8228,f815]) ).
fof(f8272,plain,
( ~ spl3_13
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8271]) ).
fof(f8271,plain,
( $false
| ~ spl3_13
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8270,f123]) ).
fof(f8270,plain,
( n9 = sK0
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8269,f468]) ).
fof(f8269,plain,
( sum(n12,n18) = sK0
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8268,f378]) ).
fof(f8268,plain,
( sum(pred(n13),n18) = sK0
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8267,f205]) ).
fof(f205,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8267,plain,
( sum(pred(sum(n5,n8)),n18) = sK0
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8266,f651]) ).
fof(f651,plain,
n18 = sum(n7,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f8266,plain,
( sum(pred(sum(n5,n8)),sum(n7,n11)) = sK0
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8265,f461]) ).
fof(f8265,plain,
( sK0 = sum(pred(sum(n5,n8)),sum(n7,pred(n12)))
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8264,f131]) ).
fof(f8264,plain,
( sK0 = sum(pred(sum(n5,n8)),sum(n7,pred(sum(n5,n7))))
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8228,f883]) ).
fof(f8248,plain,
( ~ spl3_13
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f8247]) ).
fof(f8247,plain,
( $false
| ~ spl3_13
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f8246,f470]) ).
fof(f8246,plain,
( n18 = sK0
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8245,f79]) ).
fof(f79,plain,
n18 = sum(n6,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8245,plain,
( sum(n6,n12) = sK0
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8244,f423]) ).
fof(f8244,plain,
( sum(pred(n7),n12) = sK0
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8243,f714]) ).
fof(f714,plain,
n7 = sum(n20,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8243,plain,
( sum(pred(sum(n20,n8)),n12) = sK0
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8242,f282]) ).
fof(f282,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f8242,plain,
( sum(pred(sum(n20,n8)),sum(n7,n5)) = sK0
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8241,f581]) ).
fof(f8241,plain,
( sum(pred(sum(n20,n8)),sum(n7,pred(n6))) = sK0
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8240,f548]) ).
fof(f8240,plain,
( sum(pred(sum(n20,n8)),sum(n7,pred(sum(n20,n7)))) = sK0
| ~ spl3_13
| ~ spl3_34 ),
inference(backward_demodulation,[],[f8228,f859]) ).
fof(f8222,plain,
( ~ spl3_6
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8221]) ).
fof(f8221,plain,
( $false
| ~ spl3_6
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8220,f12]) ).
fof(f8220,plain,
( n11 = sK0
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8219,f546]) ).
fof(f546,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f8219,plain,
( sum(n6,n5) = sK0
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8218,f423]) ).
fof(f8218,plain,
( sum(pred(n7),n5) = sK0
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8217,f25]) ).
fof(f25,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f8217,plain,
( sum(pred(sum(n6,n1)),n5) = sK0
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8216,f543]) ).
fof(f8216,plain,
( sum(pred(sum(n6,succ(n0))),n5) = sK0
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8215,f467]) ).
fof(f467,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f8215,plain,
( sum(pred(sum(n6,succ(n0))),sum(n0,n5)) = sK0
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8214,f581]) ).
fof(f8214,plain,
( sum(pred(sum(n6,succ(n0))),sum(n0,pred(n6))) = sK0
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8213,f260]) ).
fof(f260,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f8213,plain,
( sK0 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(sum(n6,n0))))
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8116,f746]) ).
fof(f8116,plain,
( sK0 = sum(pred(sum(n6,succ(sK2))),sum(sK2,pred(sum(n6,sK2))))
| ~ spl3_36 ),
inference(forward_demodulation,[],[f244,f867]) ).
fof(f867,plain,
( n6 = sK1
| ~ spl3_36 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f865,plain,
( spl3_36
<=> n6 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f8188,plain,
( ~ spl3_13
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8187]) ).
fof(f8187,plain,
( $false
| ~ spl3_13
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8186,f12]) ).
fof(f8186,plain,
( n11 = sK0
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8185,f290]) ).
fof(f8185,plain,
( sum(n13,n19) = sK0
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8184,f278]) ).
fof(f8184,plain,
( sum(pred(n14),n19) = sK0
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8183,f312]) ).
fof(f8183,plain,
( sum(pred(sum(n6,n8)),n19) = sK0
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8182,f413]) ).
fof(f8182,plain,
( sum(pred(sum(n6,succ(n7))),n19) = sK0
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8181,f338]) ).
fof(f338,plain,
n19 = sum(n7,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f8181,plain,
( sum(pred(sum(n6,succ(n7))),sum(n7,n12)) = sK0
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8180,f378]) ).
fof(f8180,plain,
( sum(pred(sum(n6,succ(n7))),sum(n7,pred(n13))) = sK0
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8179,f621]) ).
fof(f8179,plain,
( sum(pred(sum(n6,succ(n7))),sum(n7,pred(sum(n6,n7)))) = sK0
| ~ spl3_13
| ~ spl3_36 ),
inference(backward_demodulation,[],[f8116,f774]) ).
fof(f8171,plain,
( ~ spl3_14
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8170]) ).
fof(f8170,plain,
( $false
| ~ spl3_14
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8169,f111]) ).
fof(f8169,plain,
( n5 = sK0
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8168,f411]) ).
fof(f8168,plain,
( sum(n18,n8) = sK0
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8167,f576]) ).
fof(f8167,plain,
( sum(pred(n19),n8) = sK0
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8166,f226]) ).
fof(f226,plain,
n19 = sum(n6,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8166,plain,
( sK0 = sum(pred(sum(n6,n13)),n8)
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8165,f322]) ).
fof(f8165,plain,
( sum(pred(sum(n6,succ(n12))),n8) = sK0
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8164,f50]) ).
fof(f8164,plain,
( sum(pred(sum(n6,succ(n12))),sum(n12,n17)) = sK0
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8163,f622]) ).
fof(f8163,plain,
( sum(pred(sum(n6,succ(n12))),sum(n12,pred(n18))) = sK0
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8162,f79]) ).
fof(f8162,plain,
( sK0 = sum(pred(sum(n6,succ(n12))),sum(n12,pred(sum(n6,n12))))
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8116,f778]) ).
fof(f8153,plain,
( ~ spl3_3
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8152]) ).
fof(f8152,plain,
( $false
| ~ spl3_3
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8151,f140]) ).
fof(f8151,plain,
( n14 = sK0
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8150,f426]) ).
fof(f426,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f8150,plain,
( sum(n0,n14) = sK0
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8149,f96]) ).
fof(f8149,plain,
( sK0 = sum(pred(n1),n14)
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8148,f329]) ).
fof(f329,plain,
n1 = sum(n6,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f8148,plain,
( sum(pred(sum(n6,n16)),n14) = sK0
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8147,f109]) ).
fof(f8147,plain,
( sum(pred(sum(n6,succ(n15))),n14) = sK0
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8146,f692]) ).
fof(f692,plain,
n14 = sum(n15,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f8146,plain,
( sum(pred(sum(n6,succ(n15))),sum(n15,n20)) = sK0
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8145,f342]) ).
fof(f8145,plain,
( sum(pred(sum(n6,succ(n15))),sum(n15,pred(n0))) = sK0
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8144,f262]) ).
fof(f262,plain,
n0 = sum(n6,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f8144,plain,
( sK0 = sum(pred(sum(n6,succ(n15))),sum(n15,pred(sum(n6,n15))))
| ~ spl3_3
| ~ spl3_36 ),
inference(backward_demodulation,[],[f8116,f734]) ).
fof(f8138,plain,
( ~ spl3_7
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8137]) ).
fof(f8137,plain,
( $false
| ~ spl3_7
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8136,f306]) ).
fof(f8136,plain,
( n8 = sK0
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8135,f146]) ).
fof(f146,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f8135,plain,
( sum(n5,n3) = sK0
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8134,f581]) ).
fof(f8134,plain,
( sum(pred(n6),n3) = sK0
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8133,f260]) ).
fof(f8133,plain,
( sK0 = sum(pred(sum(n6,n0)),n3)
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8132,f370]) ).
fof(f8132,plain,
( sum(pred(sum(n6,succ(n20))),n3) = sK0
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8131,f162]) ).
fof(f162,plain,
n3 = sum(n20,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f8131,plain,
( sK0 = sum(pred(sum(n6,succ(n20))),sum(n20,n4))
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8130,f708]) ).
fof(f8130,plain,
( sum(pred(sum(n6,succ(n20))),sum(n20,pred(n5))) = sK0
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8129,f386]) ).
fof(f8129,plain,
( sK0 = sum(pred(sum(n6,succ(n20))),sum(n20,pred(sum(n6,n20))))
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8116,f750]) ).
fof(f8128,plain,
( ~ spl3_1
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8127]) ).
fof(f8127,plain,
( $false
| ~ spl3_1
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8126,f509]) ).
fof(f8126,plain,
( n2 = sK0
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8125,f341]) ).
fof(f8125,plain,
( sum(n3,n20) = sK0
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8124,f165]) ).
fof(f8124,plain,
( sum(pred(n4),n20) = sK0
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8123,f185]) ).
fof(f185,plain,
n4 = sum(n6,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f8123,plain,
( sum(pred(sum(n6,n19)),n20) = sK0
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8122,f569]) ).
fof(f8122,plain,
( sum(pred(sum(n6,succ(n18))),n20) = sK0
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8121,f97]) ).
fof(f8121,plain,
( sK0 = sum(pred(sum(n6,succ(n18))),sum(n18,n2))
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8120,f480]) ).
fof(f8120,plain,
( sK0 = sum(pred(sum(n6,succ(n18))),sum(n18,pred(n3)))
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8119,f325]) ).
fof(f8119,plain,
( sK0 = sum(pred(sum(n6,succ(n18))),sum(n18,pred(sum(n6,n18))))
| ~ spl3_1
| ~ spl3_36 ),
inference(backward_demodulation,[],[f8116,f726]) ).
fof(f8113,plain,
( ~ spl3_5
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8112]) ).
fof(f8112,plain,
( $false
| ~ spl3_5
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8111,f306]) ).
fof(f8111,plain,
( n8 = sK0
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8110,f50]) ).
fof(f8110,plain,
( sum(n12,n17) = sK0
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8109,f378]) ).
fof(f8109,plain,
( sK0 = sum(pred(n13),n17)
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8108,f621]) ).
fof(f8108,plain,
( sK0 = sum(pred(sum(n6,n7)),n17)
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8107,f137]) ).
fof(f8107,plain,
( sum(pred(sum(n6,succ(n6))),n17) = sK0
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8106,f37]) ).
fof(f37,plain,
n17 = sum(n6,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f8106,plain,
( sK0 = sum(pred(sum(n6,succ(n6))),sum(n6,n11))
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8105,f461]) ).
fof(f8105,plain,
( sK0 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(n12)))
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8104,f437]) ).
fof(f437,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f8104,plain,
( sum(pred(sum(n6,succ(n6))),sum(n6,pred(sum(n6,n6)))) = sK0
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8103,f867]) ).
fof(f8103,plain,
( sum(pred(sum(sK1,succ(n6))),sum(n6,pred(sum(sK1,n6)))) = sK0
| ~ spl3_5 ),
inference(forward_demodulation,[],[f244,f742]) ).
fof(f8082,plain,
( ~ spl3_4
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8081]) ).
fof(f8081,plain,
( $false
| ~ spl3_4
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8080,f663]) ).
fof(f8080,plain,
( n20 = sK0
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8079,f298]) ).
fof(f8079,plain,
( sum(n2,n18) = sK0
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8078,f480]) ).
fof(f8078,plain,
( sum(pred(n3),n18) = sK0
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8077,f325]) ).
fof(f8077,plain,
( sum(pred(sum(n6,n18)),n18) = sK0
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8076,f486]) ).
fof(f486,plain,
n18 = sum(n17,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f8076,plain,
( sK0 = sum(pred(sum(n6,n18)),sum(n17,n1))
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8075,f680]) ).
fof(f8075,plain,
( sum(pred(sum(n6,n18)),sum(n17,pred(n2))) = sK0
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8074,f216]) ).
fof(f8074,plain,
( sum(pred(sum(n6,n18)),sum(n17,pred(sum(n6,n17)))) = sK0
| ~ spl3_4
| ~ spl3_36 ),
inference(backward_demodulation,[],[f8067,f867]) ).
fof(f8067,plain,
( sK0 = sum(pred(sum(sK1,n18)),sum(n17,pred(sum(sK1,n17))))
| ~ spl3_4 ),
inference(forward_demodulation,[],[f8066,f363]) ).
fof(f8066,plain,
( sK0 = sum(pred(sum(sK1,succ(n17))),sum(n17,pred(sum(sK1,n17))))
| ~ spl3_4 ),
inference(forward_demodulation,[],[f244,f738]) ).
fof(f8061,plain,
( ~ spl3_12
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8060]) ).
fof(f8060,plain,
( $false
| ~ spl3_12
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8059,f8]) ).
fof(f8059,plain,
( n3 = sK0
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8058,f229]) ).
fof(f8058,plain,
( sum(n3,n0) = sK0
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8057,f165]) ).
fof(f8057,plain,
( sum(pred(n4),n0) = sK0
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8056,f230]) ).
fof(f8056,plain,
( sum(pred(sum(n5,n20)),n0) = sK0
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8055,f113]) ).
fof(f113,plain,
n0 = sum(n19,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f8055,plain,
( sum(pred(sum(n5,n20)),sum(n19,n2)) = sK0
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8054,f480]) ).
fof(f8054,plain,
( sK0 = sum(pred(sum(n5,n20)),sum(n19,pred(n3)))
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8053,f376]) ).
fof(f8053,plain,
( sum(pred(sum(n5,n20)),sum(n19,pred(sum(n5,n19)))) = sK0
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7900,f883]) ).
fof(f7900,plain,
( sK0 = sum(pred(sum(sK1,n20)),sum(n19,pred(sum(sK1,n19))))
| ~ spl3_12 ),
inference(forward_demodulation,[],[f7899,f249]) ).
fof(f249,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f5]) ).
fof(f7899,plain,
( sum(pred(sum(sK1,succ(n19))),sum(n19,pred(sum(sK1,n19)))) = sK0
| ~ spl3_12 ),
inference(backward_demodulation,[],[f244,f770]) ).
fof(f770,plain,
( n19 = sK2
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl3_12
<=> n19 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f8037,plain,
( ~ spl3_12
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f8036]) ).
fof(f8036,plain,
( $false
| ~ spl3_12
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f8035,f306]) ).
fof(f8035,plain,
( n8 = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8034,f301]) ).
fof(f301,plain,
n8 = sum(n16,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f8034,plain,
( sum(n16,n13) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8033,f661]) ).
fof(f8033,plain,
( sum(pred(n17),n13) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8032,f23]) ).
fof(f8032,plain,
( sum(pred(sum(n18,n20)),n13) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8031,f337]) ).
fof(f8031,plain,
( sum(pred(sum(n18,n20)),sum(n19,n15)) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8030,f387]) ).
fof(f8030,plain,
( sum(pred(sum(n18,n20)),sum(n19,pred(n16))) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8029,f296]) ).
fof(f8029,plain,
( sum(pred(sum(n18,n20)),sum(n19,pred(sum(n18,n19)))) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7900,f843]) ).
fof(f8023,plain,
( ~ spl3_12
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f8022]) ).
fof(f8022,plain,
( $false
| ~ spl3_12
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f8021,f277]) ).
fof(f8021,plain,
( n19 = sK0
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8020,f639]) ).
fof(f639,plain,
n19 = sum(n11,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f8020,plain,
( sum(n11,n8) = sK0
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8019,f461]) ).
fof(f8019,plain,
( sum(pred(n12),n8) = sK0
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8018,f497]) ).
fof(f8018,plain,
( sum(pred(sum(n13,n20)),n8) = sK0
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8017,f664]) ).
fof(f664,plain,
n8 = sum(n19,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f8017,plain,
( sK0 = sum(pred(sum(n13,n20)),sum(n19,n10))
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8016,f45]) ).
fof(f8016,plain,
( sK0 = sum(pred(sum(n13,n20)),sum(n19,pred(n11)))
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8015,f290]) ).
fof(f8015,plain,
( sum(pred(sum(n13,n20)),sum(n19,pred(sum(n13,n19)))) = sK0
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7900,f875]) ).
fof(f8007,plain,
( ~ spl3_12
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f8006]) ).
fof(f8006,plain,
( $false
| ~ spl3_12
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f8005,f470]) ).
fof(f8005,plain,
( n18 = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8004,f564]) ).
fof(f8004,plain,
( sum(n0,n18) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8003,f96]) ).
fof(f8003,plain,
( sum(pred(n1),n18) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8002,f91]) ).
fof(f8002,plain,
( sum(pred(sum(n2,n20)),n18) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8001,f233]) ).
fof(f8001,plain,
( sK0 = sum(pred(sum(n2,n20)),sum(n19,n20))
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8000,f342]) ).
fof(f8000,plain,
( sK0 = sum(pred(sum(n2,n20)),sum(n19,pred(n0)))
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7999,f191]) ).
fof(f7999,plain,
( sum(pred(sum(n2,n20)),sum(n19,pred(sum(n2,n19)))) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(backward_demodulation,[],[f7900,f823]) ).
fof(f7983,plain,
( ~ spl3_12
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f7982]) ).
fof(f7982,plain,
( $false
| ~ spl3_12
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f7981,f307]) ).
fof(f7981,plain,
( n17 = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7980,f289]) ).
fof(f289,plain,
n17 = sum(n10,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f7980,plain,
( sum(n10,n7) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7979,f45]) ).
fof(f7979,plain,
( sum(pred(n11),n7) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7978,f710]) ).
fof(f7978,plain,
( sK0 = sum(pred(sum(n12,n20)),n7)
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7977,f198]) ).
fof(f198,plain,
n7 = sum(n19,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7977,plain,
( sum(pred(sum(n12,n20)),sum(n19,n9)) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7976,f231]) ).
fof(f7976,plain,
( sum(pred(sum(n12,n20)),sum(n19,pred(n10))) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7975,f703]) ).
fof(f7975,plain,
( sum(pred(sum(n12,n20)),sum(n19,pred(sum(n12,n19)))) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7900,f815]) ).
fof(f7967,plain,
( ~ spl3_12
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f7966]) ).
fof(f7966,plain,
( $false
| ~ spl3_12
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f7965,f102]) ).
fof(f7965,plain,
( n10 = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7964,f144]) ).
fof(f7964,plain,
( sum(n17,n14) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7963,f622]) ).
fof(f7963,plain,
( sK0 = sum(pred(n18),n14)
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7962,f233]) ).
fof(f7962,plain,
( sum(pred(sum(n19,n20)),n14) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7961,f280]) ).
fof(f7961,plain,
( sK0 = sum(pred(sum(n19,n20)),sum(n19,n16))
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7960,f661]) ).
fof(f7960,plain,
( sum(pred(sum(n19,n20)),sum(n19,pred(n17))) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7959,f614]) ).
fof(f7959,plain,
( sum(pred(sum(n19,n20)),sum(n19,pred(sum(n19,n19)))) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7900,f835]) ).
fof(f7950,plain,
( ~ spl3_12
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f7949]) ).
fof(f7949,plain,
( $false
| ~ spl3_12
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f7948,f111]) ).
fof(f7948,plain,
( n5 = sK0
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7947,f422]) ).
fof(f422,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f7947,plain,
( sum(n4,n1) = sK0
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7946,f708]) ).
fof(f7946,plain,
( sK0 = sum(pred(n5),n1)
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7945,f386]) ).
fof(f7945,plain,
( sum(pred(sum(n6,n20)),n1) = sK0
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7944,f259]) ).
fof(f7944,plain,
( sum(pred(sum(n6,n20)),sum(n19,n3)) = sK0
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7943,f165]) ).
fof(f7943,plain,
( sum(pred(sum(n6,n20)),sum(n19,pred(n4))) = sK0
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7942,f185]) ).
fof(f7942,plain,
( sK0 = sum(pred(sum(n6,n20)),sum(n19,pred(sum(n6,n19))))
| ~ spl3_12
| ~ spl3_36 ),
inference(backward_demodulation,[],[f7900,f867]) ).
fof(f7935,plain,
( ~ spl3_12
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f7934]) ).
fof(f7934,plain,
( $false
| ~ spl3_12
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f7933,f663]) ).
fof(f7933,plain,
( n20 = sK0
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7932,f707]) ).
fof(f707,plain,
n20 = sum(n1,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f7932,plain,
( sum(n1,n19) = sK0
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7931,f680]) ).
fof(f7931,plain,
( sK0 = sum(pred(n2),n19)
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7930,f341]) ).
fof(f7930,plain,
( sum(pred(sum(n3,n20)),n19) = sK0
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7929,f300]) ).
fof(f7929,plain,
( sum(pred(sum(n3,n20)),sum(n19,n0)) = sK0
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7928,f96]) ).
fof(f7928,plain,
( sum(pred(sum(n3,n20)),sum(n19,pred(n1))) = sK0
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7927,f464]) ).
fof(f7927,plain,
( sK0 = sum(pred(sum(n3,n20)),sum(n19,pred(sum(n3,n19))))
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7900,f891]) ).
fof(f7909,plain,
( ~ spl3_12
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f7908]) ).
fof(f7908,plain,
( $false
| ~ spl3_12
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f7907,f44]) ).
fof(f7907,plain,
( n12 = sK0
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7906,f690]) ).
fof(f7906,plain,
( sum(n18,n15) = sK0
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7905,f576]) ).
fof(f7905,plain,
( sum(pred(n19),n15) = sK0
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7904,f195]) ).
fof(f7904,plain,
( sum(pred(sum(n20,n20)),n15) = sK0
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7903,f139]) ).
fof(f7903,plain,
( sum(pred(sum(n20,n20)),sum(n19,n17)) = sK0
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7902,f622]) ).
fof(f7902,plain,
( sum(pred(sum(n20,n20)),sum(n19,pred(n18))) = sK0
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7901,f145]) ).
fof(f7901,plain,
( sum(pred(sum(n20,n20)),sum(n19,pred(sum(n20,n19)))) = sK0
| ~ spl3_12
| ~ spl3_34 ),
inference(backward_demodulation,[],[f7900,f859]) ).
fof(f7895,plain,
( ~ spl3_5
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7894]) ).
fof(f7894,plain,
( $false
| ~ spl3_5
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7893,f277]) ).
fof(f7893,plain,
( n19 = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7892,f338]) ).
fof(f7892,plain,
( sum(n7,n12) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7891,f245]) ).
fof(f7891,plain,
( sum(pred(n8),n12) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7890,f424]) ).
fof(f424,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f7890,plain,
( sum(pred(sum(n1,n7)),n12) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7889,f137]) ).
fof(f7889,plain,
( sK0 = sum(pred(sum(n1,succ(n6))),n12)
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7888,f437]) ).
fof(f7888,plain,
( sum(pred(sum(n1,succ(n6))),sum(n6,n6)) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7887,f423]) ).
fof(f7887,plain,
( sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7))) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7886,f705]) ).
fof(f705,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f7886,plain,
( sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6)))) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7755,f742]) ).
fof(f7755,plain,
( sK0 = sum(pred(sum(n1,succ(sK2))),sum(sK2,pred(sum(n1,sK2))))
| ~ spl3_32 ),
inference(forward_demodulation,[],[f244,f851]) ).
fof(f851,plain,
( n1 = sK1
| ~ spl3_32 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f849,plain,
( spl3_32
<=> n1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f7870,plain,
( ~ spl3_14
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7869]) ).
fof(f7869,plain,
( $false
| ~ spl3_14
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7868,f118]) ).
fof(f7868,plain,
( n16 = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7867,f314]) ).
fof(f314,plain,
n16 = sum(n13,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f7867,plain,
( sum(n13,n3) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7866,f278]) ).
fof(f7866,plain,
( sum(pred(n14),n3) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7865,f598]) ).
fof(f598,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f7865,plain,
( sK0 = sum(pred(sum(n1,n13)),n3)
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7864,f322]) ).
fof(f7864,plain,
( sum(pred(sum(n1,succ(n12))),n3) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7863,f672]) ).
fof(f7863,plain,
( sum(pred(sum(n1,succ(n12))),sum(n12,n12)) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7862,f378]) ).
fof(f7862,plain,
( sum(pred(sum(n1,succ(n12))),sum(n12,pred(n13))) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7861,f197]) ).
fof(f197,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f7861,plain,
( sum(pred(sum(n1,succ(n12))),sum(n12,pred(sum(n1,n12)))) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7755,f778]) ).
fof(f7854,plain,
( ~ spl3_4
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7853]) ).
fof(f7853,plain,
( $false
| ~ spl3_4
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7852,f102]) ).
fof(f7852,plain,
( n10 = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7851,f419]) ).
fof(f7851,plain,
( sum(n18,n13) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7850,f576]) ).
fof(f7850,plain,
( sum(pred(n19),n13) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7849,f671]) ).
fof(f671,plain,
n19 = sum(n1,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f7849,plain,
( sum(pred(sum(n1,n18)),n13) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7848,f363]) ).
fof(f7848,plain,
( sum(pred(sum(n1,succ(n17))),n13) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7847,f215]) ).
fof(f215,plain,
n13 = sum(n17,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f7847,plain,
( sum(pred(sum(n1,succ(n17))),sum(n17,n17)) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7846,f622]) ).
fof(f7846,plain,
( sum(pred(sum(n1,succ(n17))),sum(n17,pred(n18))) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7845,f459]) ).
fof(f7845,plain,
( sum(pred(sum(n1,succ(n17))),sum(n17,pred(sum(n1,n17)))) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(backward_demodulation,[],[f7755,f738]) ).
fof(f7843,plain,
( ~ spl3_6
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7842]) ).
fof(f7842,plain,
( $false
| ~ spl3_6
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7841,f60]) ).
fof(f7841,plain,
( n1 = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7840,f510]) ).
fof(f510,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f7840,plain,
( sum(n1,n0) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7839,f680]) ).
fof(f7839,plain,
( sK0 = sum(pred(n2),n0)
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7838,f202]) ).
fof(f202,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f7838,plain,
( sum(pred(sum(n1,n1)),n0) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7837,f543]) ).
fof(f7837,plain,
( sum(pred(sum(n1,succ(n0))),n0) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7836,f407]) ).
fof(f407,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f7836,plain,
( sum(pred(sum(n1,succ(n0))),sum(n0,n0)) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7835,f96]) ).
fof(f7835,plain,
( sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1))) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7834,f510]) ).
fof(f7834,plain,
( sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0)))) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(backward_demodulation,[],[f7755,f746]) ).
fof(f7814,plain,
( ~ spl3_1
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7813]) ).
fof(f7813,plain,
( $false
| ~ spl3_1
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7812,f43]) ).
fof(f7812,plain,
( n13 = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7811,f337]) ).
fof(f7811,plain,
( sum(n19,n15) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7810,f148]) ).
fof(f7810,plain,
( sum(pred(n20),n15) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7809,f707]) ).
fof(f7809,plain,
( sum(pred(sum(n1,n19)),n15) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7808,f569]) ).
fof(f7808,plain,
( sum(pred(sum(n1,succ(n18))),n15) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7807,f434]) ).
fof(f7807,plain,
( sum(pred(sum(n1,succ(n18))),sum(n18,n18)) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7806,f576]) ).
fof(f7806,plain,
( sum(pred(sum(n1,succ(n18))),sum(n18,pred(n19))) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7805,f671]) ).
fof(f7805,plain,
( sum(pred(sum(n1,succ(n18))),sum(n18,pred(sum(n1,n18)))) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(backward_demodulation,[],[f7755,f726]) ).
fof(f7802,plain,
( ~ spl3_7
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7801]) ).
fof(f7801,plain,
( $false
| ~ spl3_7
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7800,f277]) ).
fof(f7800,plain,
( n19 = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7799,f662]) ).
fof(f7799,plain,
( sum(n0,n19) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7798,f96]) ).
fof(f7798,plain,
( sum(pred(n1),n19) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7797,f510]) ).
fof(f7797,plain,
( sK0 = sum(pred(sum(n1,n0)),n19)
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7796,f370]) ).
fof(f7796,plain,
( sum(pred(sum(n1,succ(n20))),n19) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7795,f195]) ).
fof(f7795,plain,
( sK0 = sum(pred(sum(n1,succ(n20))),sum(n20,n20))
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7794,f342]) ).
fof(f7794,plain,
( sum(pred(sum(n1,succ(n20))),sum(n20,pred(n0))) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7793,f17]) ).
fof(f7793,plain,
( sK0 = sum(pred(sum(n1,succ(n20))),sum(n20,pred(sum(n1,n20))))
| ~ spl3_7
| ~ spl3_32 ),
inference(backward_demodulation,[],[f7755,f750]) ).
fof(f7787,plain,
( ~ spl3_13
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7786]) ).
fof(f7786,plain,
( $false
| ~ spl3_13
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7785,f60]) ).
fof(f7785,plain,
( n1 = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7784,f632]) ).
fof(f632,plain,
n1 = sum(n8,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f7784,plain,
( sum(n8,n14) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7783,f540]) ).
fof(f7783,plain,
( sum(pred(n9),n14) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7782,f152]) ).
fof(f152,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f7782,plain,
( sum(pred(sum(n1,n8)),n14) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7781,f413]) ).
fof(f7781,plain,
( sum(pred(sum(n1,succ(n7))),n14) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7780,f718]) ).
fof(f718,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f7780,plain,
( sum(pred(sum(n1,succ(n7))),sum(n7,n7)) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7779,f245]) ).
fof(f7779,plain,
( sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8))) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7778,f424]) ).
fof(f7778,plain,
( sK0 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7755,f774]) ).
fof(f7769,plain,
( ~ spl3_3
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7768]) ).
fof(f7768,plain,
( $false
| ~ spl3_3
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7767,f453]) ).
fof(f7767,plain,
( n4 = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7766,f21]) ).
fof(f21,plain,
n4 = sum(n16,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7766,plain,
( sum(n16,n9) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7765,f661]) ).
fof(f7765,plain,
( sum(pred(n17),n9) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7764,f84]) ).
fof(f84,plain,
n17 = sum(n1,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f7764,plain,
( sK0 = sum(pred(sum(n1,n16)),n9)
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7763,f109]) ).
fof(f7763,plain,
( sK0 = sum(pred(sum(n1,succ(n15))),n9)
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7762,f19]) ).
fof(f19,plain,
n9 = sum(n15,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f7762,plain,
( sK0 = sum(pred(sum(n1,succ(n15))),sum(n15,n15))
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7761,f387]) ).
fof(f7761,plain,
( sum(pred(sum(n1,succ(n15))),sum(n15,pred(n16))) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7760,f706]) ).
fof(f706,plain,
n16 = sum(n1,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f7760,plain,
( sum(pred(sum(n1,succ(n15))),sum(n15,pred(sum(n1,n15)))) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(backward_demodulation,[],[f7755,f734]) ).
fof(f7754,plain,
( ~ spl3_12
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7753]) ).
fof(f7753,plain,
( $false
| ~ spl3_12
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7752,f118]) ).
fof(f7752,plain,
( n16 = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7751,f685]) ).
fof(f7751,plain,
( sum(n20,n17) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7750,f342]) ).
fof(f7750,plain,
( sum(pred(n0),n17) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7749,f17]) ).
fof(f7749,plain,
( sum(pred(sum(n1,n20)),n17) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7748,f614]) ).
fof(f7748,plain,
( sK0 = sum(pred(sum(n1,n20)),sum(n19,n19))
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7747,f148]) ).
fof(f7747,plain,
( sum(pred(sum(n1,n20)),sum(n19,pred(n20))) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7746,f707]) ).
fof(f7746,plain,
( sum(pred(sum(n1,n20)),sum(n19,pred(sum(n1,n19)))) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(backward_demodulation,[],[f7727,f851]) ).
fof(f7727,plain,
( sK0 = sum(pred(sum(sK1,n20)),sum(n19,pred(sum(sK1,n19))))
| ~ spl3_12 ),
inference(forward_demodulation,[],[f7725,f249]) ).
fof(f7725,plain,
( sum(pred(sum(sK1,succ(n19))),sum(n19,pred(sum(sK1,n19)))) = sK0
| ~ spl3_12 ),
inference(backward_demodulation,[],[f244,f770]) ).
fof(f7724,plain,
( ~ spl3_11
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f7723]) ).
fof(f7723,plain,
( $false
| ~ spl3_11
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f7722,f102]) ).
fof(f7722,plain,
( n10 = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7721,f196]) ).
fof(f7721,plain,
( sum(n3,n7) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7720,f165]) ).
fof(f7720,plain,
( sum(pred(n4),n7) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7719,f490]) ).
fof(f7719,plain,
( sum(pred(sum(n19,n6)),n7) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7718,f485]) ).
fof(f485,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f7718,plain,
( sum(pred(sum(n19,n6)),sum(n5,n2)) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7717,f480]) ).
fof(f7717,plain,
( sK0 = sum(pred(sum(n19,n6)),sum(n5,pred(n3)))
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7716,f293]) ).
fof(f293,plain,
n3 = sum(n19,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f7716,plain,
( sum(pred(sum(n19,n6)),sum(n5,pred(sum(n19,n5)))) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(backward_demodulation,[],[f7586,f835]) ).
fof(f7586,plain,
( sum(pred(sum(sK1,n6)),sum(n5,pred(sum(sK1,n5)))) = sK0
| ~ spl3_11 ),
inference(forward_demodulation,[],[f7550,f420]) ).
fof(f420,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f5]) ).
fof(f7550,plain,
( sum(pred(sum(sK1,succ(n5))),sum(n5,pred(sum(sK1,n5)))) = sK0
| ~ spl3_11 ),
inference(forward_demodulation,[],[f244,f766]) ).
fof(f766,plain,
( n5 = sK2
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f764,plain,
( spl3_11
<=> n5 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f7714,plain,
( ~ spl3_11
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f7713]) ).
fof(f7713,plain,
( $false
| ~ spl3_11
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f7712,f277]) ).
fof(f7712,plain,
( n19 = sK0
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7711,f539]) ).
fof(f7711,plain,
( sum(n18,n1) = sK0
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7710,f576]) ).
fof(f7710,plain,
( sK0 = sum(pred(n19),n1)
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7709,f439]) ).
fof(f7709,plain,
( sum(pred(sum(n13,n6)),n1) = sK0
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7708,f522]) ).
fof(f7708,plain,
( sum(pred(sum(n13,n6)),sum(n5,n17)) = sK0
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7707,f622]) ).
fof(f7707,plain,
( sum(pred(sum(n13,n6)),sum(n5,pred(n18))) = sK0
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7706,f95]) ).
fof(f95,plain,
n18 = sum(n13,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f7706,plain,
( sK0 = sum(pred(sum(n13,n6)),sum(n5,pred(sum(n13,n5))))
| ~ spl3_11
| ~ spl3_38 ),
inference(backward_demodulation,[],[f7586,f875]) ).
fof(f7697,plain,
( ~ spl3_11
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f7696]) ).
fof(f7696,plain,
( $false
| ~ spl3_11
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f7695,f306]) ).
fof(f7695,plain,
( n8 = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7694,f402]) ).
fof(f7694,plain,
( sum(n2,n6) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7693,f480]) ).
fof(f7693,plain,
( sum(pred(n3),n6) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7692,f711]) ).
fof(f7692,plain,
( sK0 = sum(pred(sum(n18,n6)),n6)
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7691,f578]) ).
fof(f7691,plain,
( sum(pred(sum(n18,n6)),sum(n5,n1)) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7690,f680]) ).
fof(f7690,plain,
( sum(pred(sum(n18,n6)),sum(n5,pred(n2))) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7689,f71]) ).
fof(f71,plain,
n2 = sum(n18,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f7689,plain,
( sum(pred(sum(n18,n6)),sum(n5,pred(sum(n18,n5)))) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(backward_demodulation,[],[f7586,f843]) ).
fof(f7682,plain,
( ~ spl3_11
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f7681]) ).
fof(f7681,plain,
( $false
| ~ spl3_11
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f7680,f663]) ).
fof(f7680,plain,
( n20 = sK0
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7679,f174]) ).
fof(f174,plain,
n20 = sum(n8,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f7679,plain,
( sum(n8,n12) = sK0
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7678,f540]) ).
fof(f7678,plain,
( sum(pred(n9),n12) = sK0
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7677,f712]) ).
fof(f7677,plain,
( sK0 = sum(pred(sum(n3,n6)),n12)
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7676,f131]) ).
fof(f7676,plain,
( sum(pred(sum(n3,n6)),sum(n5,n7)) = sK0
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7675,f245]) ).
fof(f7675,plain,
( sum(pred(sum(n3,n6)),sum(n5,pred(n8))) = sK0
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7674,f395]) ).
fof(f395,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f7674,plain,
( sK0 = sum(pred(sum(n3,n6)),sum(n5,pred(sum(n3,n5))))
| ~ spl3_11
| ~ spl3_42 ),
inference(backward_demodulation,[],[f7586,f891]) ).
fof(f7661,plain,
( ~ spl3_11
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f7660]) ).
fof(f7660,plain,
( $false
| ~ spl3_11
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f7659,f307]) ).
fof(f7659,plain,
( n17 = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7658,f170]) ).
fof(f7658,plain,
( sum(n17,n0) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7657,f622]) ).
fof(f7657,plain,
( sum(pred(n18),n0) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7656,f568]) ).
fof(f7656,plain,
( sum(pred(sum(n12,n6)),n0) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7655,f421]) ).
fof(f7655,plain,
( sum(pred(sum(n12,n6)),sum(n5,n16)) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7654,f661]) ).
fof(f7654,plain,
( sum(pred(sum(n12,n6)),sum(n5,pred(n17))) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7653,f531]) ).
fof(f7653,plain,
( sum(pred(sum(n12,n6)),sum(n5,pred(sum(n12,n5)))) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(backward_demodulation,[],[f7586,f815]) ).
fof(f7644,plain,
( ~ spl3_11
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f7643]) ).
fof(f7643,plain,
( $false
| ~ spl3_11
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f7642,f44]) ).
fof(f7642,plain,
( n12 = sK0
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7641,f15]) ).
fof(f15,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f7641,plain,
( sum(n4,n8) = sK0
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7640,f708]) ).
fof(f7640,plain,
( sum(pred(n5),n8) = sK0
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7639,f608]) ).
fof(f7639,plain,
( sum(pred(sum(n20,n6)),n8) = sK0
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7638,f146]) ).
fof(f7638,plain,
( sum(pred(sum(n20,n6)),sum(n5,n3)) = sK0
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7637,f165]) ).
fof(f7637,plain,
( sK0 = sum(pred(sum(n20,n6)),sum(n5,pred(n4)))
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7636,f438]) ).
fof(f7636,plain,
( sK0 = sum(pred(sum(n20,n6)),sum(n5,pred(sum(n20,n5))))
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7586,f859]) ).
fof(f7631,plain,
( ~ spl3_11
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f7630]) ).
fof(f7630,plain,
( $false
| ~ spl3_11
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f7629,f111]) ).
fof(f7629,plain,
( n5 = sK0
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7628,f628]) ).
fof(f628,plain,
n5 = sum(n11,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f7628,plain,
( sum(n11,n15) = sK0
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7627,f461]) ).
fof(f7627,plain,
( sK0 = sum(pred(n12),n15)
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7626,f437]) ).
fof(f7626,plain,
( sK0 = sum(pred(sum(n6,n6)),n15)
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7625,f713]) ).
fof(f7625,plain,
( sum(pred(sum(n6,n6)),sum(n5,n10)) = sK0
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7624,f45]) ).
fof(f7624,plain,
( sK0 = sum(pred(sum(n6,n6)),sum(n5,pred(n11)))
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7623,f546]) ).
fof(f7623,plain,
( sK0 = sum(pred(sum(n6,n6)),sum(n5,pred(sum(n6,n5))))
| ~ spl3_11
| ~ spl3_36 ),
inference(backward_demodulation,[],[f7586,f867]) ).
fof(f7611,plain,
( ~ spl3_11
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f7610]) ).
fof(f7610,plain,
( $false
| ~ spl3_11
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f7609,f470]) ).
fof(f7609,plain,
( n18 = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7608,f651]) ).
fof(f7608,plain,
( sum(n7,n11) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7607,f245]) ).
fof(f7607,plain,
( sK0 = sum(pred(n8),n11)
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7606,f402]) ).
fof(f7606,plain,
( sum(pred(sum(n2,n6)),n11) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7605,f129]) ).
fof(f7605,plain,
( sum(pred(sum(n2,n6)),sum(n5,n6)) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7604,f423]) ).
fof(f7604,plain,
( sum(pred(sum(n2,n6)),sum(n5,pred(n7))) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7603,f276]) ).
fof(f276,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f7603,plain,
( sum(pred(sum(n2,n6)),sum(n5,pred(sum(n2,n5)))) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(backward_demodulation,[],[f7586,f823]) ).
fof(f7581,plain,
( ~ spl3_11
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f7580]) ).
fof(f7580,plain,
( $false
| ~ spl3_11
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f7579,f8]) ).
fof(f7579,plain,
( n3 = sK0
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7578,f416]) ).
fof(f416,plain,
n3 = sum(n10,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f7578,plain,
( sum(n10,n14) = sK0
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7577,f45]) ).
fof(f7577,plain,
( sum(pred(n11),n14) = sK0
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7576,f129]) ).
fof(f7576,plain,
( sum(pred(sum(n5,n6)),n14) = sK0
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7575,f420]) ).
fof(f7575,plain,
( sK0 = sum(pred(sum(n5,succ(n5))),n14)
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7574,f635]) ).
fof(f635,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7574,plain,
( sum(pred(sum(n5,succ(n5))),sum(n5,n9)) = sK0
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7573,f231]) ).
fof(f7573,plain,
( sK0 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(n10)))
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7572,f315]) ).
fof(f315,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f7572,plain,
( sum(pred(sum(n5,succ(n5))),sum(n5,pred(sum(n5,n5)))) = sK0
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7550,f883]) ).
fof(f7560,plain,
( ~ spl3_11
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7559]) ).
fof(f7559,plain,
( $false
| ~ spl3_11
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7558,f118]) ).
fof(f7558,plain,
( n16 = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7557,f722]) ).
fof(f7557,plain,
( sum(n6,n10) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7556,f423]) ).
fof(f7556,plain,
( sum(pred(n7),n10) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7555,f705]) ).
fof(f7555,plain,
( sum(pred(sum(n1,n6)),n10) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7554,f420]) ).
fof(f7554,plain,
( sum(pred(sum(n1,succ(n5))),n10) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7553,f315]) ).
fof(f7553,plain,
( sK0 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7552,f581]) ).
fof(f7552,plain,
( sK0 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7551,f655]) ).
fof(f655,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f7551,plain,
( sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5)))) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7550,f851]) ).
fof(f7514,plain,
( ~ spl3_14
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7513]) ).
fof(f7513,plain,
( $false
| ~ spl3_14
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7512,f123]) ).
fof(f7512,plain,
( n9 = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7511,f619]) ).
fof(f7511,plain,
( sum(n20,n10) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7510,f342]) ).
fof(f7510,plain,
( sum(pred(n0),n10) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7509,f331]) ).
fof(f7509,plain,
( sK0 = sum(pred(sum(n8,n13)),n10)
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7508,f322]) ).
fof(f7508,plain,
( sum(pred(sum(n8,succ(n12))),n10) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7507,f703]) ).
fof(f7507,plain,
( sum(pred(sum(n8,succ(n12))),sum(n12,n19)) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7506,f148]) ).
fof(f7506,plain,
( sum(pred(sum(n8,succ(n12))),sum(n12,pred(n20))) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7505,f174]) ).
fof(f7505,plain,
( sum(pred(sum(n8,succ(n12))),sum(n12,pred(sum(n8,n12)))) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7378,f778]) ).
fof(f7378,plain,
( sum(pred(sum(n8,succ(sK2))),sum(sK2,pred(sum(n8,sK2)))) = sK0
| ~ spl3_29 ),
inference(forward_demodulation,[],[f244,f839]) ).
fof(f839,plain,
( n8 = sK1
| ~ spl3_29 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f837,plain,
( spl3_29
<=> n8 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f7497,plain,
( ~ spl3_13
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7496]) ).
fof(f7496,plain,
( $false
| ~ spl3_13
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7495,f128]) ).
fof(f7495,plain,
( n15 = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7494,f476]) ).
fof(f476,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f7494,plain,
( sum(n15,n0) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7493,f387]) ).
fof(f7493,plain,
( sum(pred(n16),n0) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7492,f492]) ).
fof(f492,plain,
n16 = sum(n8,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f7492,plain,
( sK0 = sum(pred(sum(n8,n8)),n0)
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7491,f413]) ).
fof(f7491,plain,
( sum(pred(sum(n8,succ(n7))),n0) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7490,f660]) ).
fof(f660,plain,
n0 = sum(n7,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f7490,plain,
( sum(pred(sum(n8,succ(n7))),sum(n7,n14)) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7489,f164]) ).
fof(f7489,plain,
( sum(pred(sum(n8,succ(n7))),sum(n7,pred(n15))) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7488,f623]) ).
fof(f623,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f7488,plain,
( sK0 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(sum(n8,n7))))
| ~ spl3_13
| ~ spl3_29 ),
inference(backward_demodulation,[],[f7378,f774]) ).
fof(f7476,plain,
( ~ spl3_11
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7475]) ).
fof(f7475,plain,
( $false
| ~ spl3_11
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7474,f123]) ).
fof(f7474,plain,
( n9 = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7473,f350]) ).
fof(f7473,plain,
( sum(n13,n17) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7472,f278]) ).
fof(f7472,plain,
( sK0 = sum(pred(n14),n17)
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7471,f340]) ).
fof(f340,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f7471,plain,
( sum(pred(sum(n8,n6)),n17) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7470,f420]) ).
fof(f7470,plain,
( sum(pred(sum(n8,succ(n5))),n17) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7469,f687]) ).
fof(f7469,plain,
( sum(pred(sum(n8,succ(n5))),sum(n5,n12)) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7468,f378]) ).
fof(f7468,plain,
( sum(pred(sum(n8,succ(n5))),sum(n5,pred(n13))) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7467,f404]) ).
fof(f404,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f7467,plain,
( sum(pred(sum(n8,succ(n5))),sum(n5,pred(sum(n8,n5)))) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7378,f766]) ).
fof(f7451,plain,
( ~ spl3_3
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7450]) ).
fof(f7450,plain,
( $false
| ~ spl3_3
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7449,f470]) ).
fof(f7449,plain,
( n18 = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7448,f33]) ).
fof(f7448,plain,
( sum(n2,n16) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7447,f480]) ).
fof(f7447,plain,
( sum(pred(n3),n16) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7446,f171]) ).
fof(f171,plain,
n3 = sum(n8,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f7446,plain,
( sum(pred(sum(n8,n16)),n16) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7445,f109]) ).
fof(f7445,plain,
( sK0 = sum(pred(sum(n8,succ(n15))),n16)
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7444,f504]) ).
fof(f504,plain,
n16 = sum(n15,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f7444,plain,
( sum(pred(sum(n8,succ(n15))),sum(n15,n1)) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7443,f680]) ).
fof(f7443,plain,
( sK0 = sum(pred(sum(n8,succ(n15))),sum(n15,pred(n2)))
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7442,f717]) ).
fof(f717,plain,
n2 = sum(n8,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f7442,plain,
( sum(pred(sum(n8,succ(n15))),sum(n15,pred(sum(n8,n15)))) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7378,f734]) ).
fof(f7434,plain,
( ~ spl3_4
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7433]) ).
fof(f7433,plain,
( $false
| ~ spl3_4
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7432,f8]) ).
fof(f7432,plain,
( n3 = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7431,f181]) ).
fof(f181,plain,
n3 = sum(n4,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f7431,plain,
( sum(n4,n20) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7430,f708]) ).
fof(f7430,plain,
( sum(pred(n5),n20) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7429,f255]) ).
fof(f255,plain,
n5 = sum(n8,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f7429,plain,
( sK0 = sum(pred(sum(n8,n18)),n20)
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7428,f363]) ).
fof(f7428,plain,
( sum(pred(sum(n8,succ(n17))),n20) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7427,f506]) ).
fof(f506,plain,
n20 = sum(n17,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f7427,plain,
( sK0 = sum(pred(sum(n8,succ(n17))),sum(n17,n3))
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7426,f165]) ).
fof(f7426,plain,
( sum(pred(sum(n8,succ(n17))),sum(n17,pred(n4))) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7425,f360]) ).
fof(f360,plain,
n4 = sum(n8,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f7425,plain,
( sum(pred(sum(n8,succ(n17))),sum(n17,pred(sum(n8,n17)))) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7378,f738]) ).
fof(f7423,plain,
( ~ spl3_5
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7422]) ).
fof(f7422,plain,
( $false
| ~ spl3_5
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7421,f44]) ).
fof(f7421,plain,
( n12 = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7420,f446]) ).
fof(f446,plain,
n12 = sum(n14,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f7420,plain,
( sum(n14,n19) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7419,f164]) ).
fof(f7419,plain,
( sK0 = sum(pred(n15),n19)
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7418,f623]) ).
fof(f7418,plain,
( sK0 = sum(pred(sum(n8,n7)),n19)
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7417,f137]) ).
fof(f7417,plain,
( sK0 = sum(pred(sum(n8,succ(n6))),n19)
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7416,f226]) ).
fof(f7416,plain,
( sum(pred(sum(n8,succ(n6))),sum(n6,n13)) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7415,f278]) ).
fof(f7415,plain,
( sum(pred(sum(n8,succ(n6))),sum(n6,pred(n14))) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7414,f340]) ).
fof(f7414,plain,
( sum(pred(sum(n8,succ(n6))),sum(n6,pred(sum(n8,n6)))) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(backward_demodulation,[],[f7378,f742]) ).
fof(f7400,plain,
( ~ spl3_7
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7399]) ).
fof(f7399,plain,
( $false
| ~ spl3_7
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7398,f44]) ).
fof(f7398,plain,
( n12 = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7397,f282]) ).
fof(f7397,plain,
( sum(n7,n5) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7396,f245]) ).
fof(f7396,plain,
( sum(pred(n8),n5) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7395,f646]) ).
fof(f646,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f7395,plain,
( sK0 = sum(pred(sum(n8,n0)),n5)
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7394,f370]) ).
fof(f7394,plain,
( sK0 = sum(pred(sum(n8,succ(n20))),n5)
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7393,f608]) ).
fof(f7393,plain,
( sK0 = sum(pred(sum(n8,succ(n20))),sum(n20,n6))
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7392,f423]) ).
fof(f7392,plain,
( sum(pred(sum(n8,succ(n20))),sum(n20,pred(n7))) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7391,f477]) ).
fof(f477,plain,
n7 = sum(n8,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f7391,plain,
( sK0 = sum(pred(sum(n8,succ(n20))),sum(n20,pred(sum(n8,n20))))
| ~ spl3_7
| ~ spl3_29 ),
inference(backward_demodulation,[],[f7378,f750]) ).
fof(f7388,plain,
( ~ spl3_1
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7387]) ).
fof(f7387,plain,
( $false
| ~ spl3_1
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7386,f432]) ).
fof(f7386,plain,
( n6 = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7385,f578]) ).
fof(f7385,plain,
( sum(n5,n1) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7384,f581]) ).
fof(f7384,plain,
( sum(pred(n6),n1) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7383,f32]) ).
fof(f32,plain,
n6 = sum(n8,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f7383,plain,
( sK0 = sum(pred(sum(n8,n19)),n1)
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7382,f569]) ).
fof(f7382,plain,
( sum(pred(sum(n8,succ(n18))),n1) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7381,f93]) ).
fof(f93,plain,
n1 = sum(n18,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f7381,plain,
( sum(pred(sum(n8,succ(n18))),sum(n18,n4)) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7380,f708]) ).
fof(f7380,plain,
( sum(pred(sum(n8,succ(n18))),sum(n18,pred(n5))) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7379,f255]) ).
fof(f7379,plain,
( sum(pred(sum(n8,succ(n18))),sum(n18,pred(sum(n8,n18)))) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(backward_demodulation,[],[f7378,f726]) ).
fof(f7377,plain,
( ~ spl3_6
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7376]) ).
fof(f7376,plain,
( $false
| ~ spl3_6
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7375,f128]) ).
fof(f7375,plain,
( n15 = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7374,f623]) ).
fof(f7374,plain,
( sum(n8,n7) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7373,f540]) ).
fof(f7373,plain,
( sum(pred(n9),n7) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7372,f482]) ).
fof(f482,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f7372,plain,
( sK0 = sum(pred(sum(n8,n1)),n7)
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7371,f543]) ).
fof(f7371,plain,
( sK0 = sum(pred(sum(n8,succ(n0))),n7)
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7370,f69]) ).
fof(f69,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f7370,plain,
( sK0 = sum(pred(sum(n8,succ(n0))),sum(n0,n7))
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7369,f245]) ).
fof(f7369,plain,
( sum(pred(sum(n8,succ(n0))),sum(n0,pred(n8))) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7368,f646]) ).
fof(f7368,plain,
( sum(pred(sum(n8,succ(n0))),sum(n0,pred(sum(n8,n0)))) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7367,f839]) ).
fof(f7367,plain,
( sum(pred(sum(sK1,succ(n0))),sum(n0,pred(sum(sK1,n0)))) = sK0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f244,f746]) ).
fof(f7347,plain,
( ~ spl3_12
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7346]) ).
fof(f7346,plain,
( $false
| ~ spl3_12
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7345,f123]) ).
fof(f7345,plain,
( n9 = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7344,f701]) ).
fof(f7344,plain,
( sum(n6,n3) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7343,f423]) ).
fof(f7343,plain,
( sum(pred(n7),n3) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7342,f477]) ).
fof(f7342,plain,
( sum(pred(sum(n8,n20)),n3) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7341,f249]) ).
fof(f7341,plain,
( sK0 = sum(pred(sum(n8,succ(n19))),n3)
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7340,f293]) ).
fof(f7340,plain,
( sK0 = sum(pred(sum(n8,succ(n19))),sum(n19,n5))
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7339,f581]) ).
fof(f7339,plain,
( sum(pred(sum(n8,succ(n19))),sum(n19,pred(n6))) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7338,f32]) ).
fof(f7338,plain,
( sK0 = sum(pred(sum(n8,succ(n19))),sum(n19,pred(sum(n8,n19))))
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7337,f839]) ).
fof(f7337,plain,
( sum(pred(sum(sK1,succ(n19))),sum(n19,pred(sum(sK1,n19)))) = sK0
| ~ spl3_12 ),
inference(forward_demodulation,[],[f244,f770]) ).
fof(f7323,plain,
( ~ spl3_10
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f7322]) ).
fof(f7322,plain,
( $false
| ~ spl3_10
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f7321,f12]) ).
fof(f7321,plain,
( n11 = sK0
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7320,f710]) ).
fof(f7320,plain,
( sum(n12,n20) = sK0
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7319,f378]) ).
fof(f7319,plain,
( sK0 = sum(pred(n13),n20)
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7318,f176]) ).
fof(f176,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f7318,plain,
( sum(pred(sum(n3,n10)),n20) = sK0
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7317,f519]) ).
fof(f519,plain,
n20 = sum(n9,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f7317,plain,
( sum(pred(sum(n3,n10)),sum(n9,n11)) = sK0
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7316,f461]) ).
fof(f7316,plain,
( sum(pred(sum(n3,n10)),sum(n9,pred(n12))) = sK0
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f7315,f401]) ).
fof(f401,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7315,plain,
( sK0 = sum(pred(sum(n3,n10)),sum(n9,pred(sum(n3,n9))))
| ~ spl3_10
| ~ spl3_42 ),
inference(backward_demodulation,[],[f7124,f891]) ).
fof(f7124,plain,
( sum(pred(sum(sK1,n10)),sum(n9,pred(sum(sK1,n9)))) = sK0
| ~ spl3_10 ),
inference(forward_demodulation,[],[f7123,f389]) ).
fof(f389,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f5]) ).
fof(f7123,plain,
( sum(pred(sum(sK1,succ(n9))),sum(n9,pred(sum(sK1,n9)))) = sK0
| ~ spl3_10 ),
inference(forward_demodulation,[],[f244,f762]) ).
fof(f762,plain,
( n9 = sK2
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f760,plain,
( spl3_10
<=> n9 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f7297,plain,
( ~ spl3_10
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f7296]) ).
fof(f7296,plain,
( $false
| ~ spl3_10
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f7295,f8]) ).
fof(f7295,plain,
( n3 = sK0
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7294,f171]) ).
fof(f7294,plain,
( sum(n8,n16) = sK0
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7293,f540]) ).
fof(f7293,plain,
( sK0 = sum(pred(n9),n16)
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7292,f619]) ).
fof(f7292,plain,
( sum(pred(sum(n20,n10)),n16) = sK0
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7291,f343]) ).
fof(f343,plain,
n16 = sum(n9,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f7291,plain,
( sK0 = sum(pred(sum(n20,n10)),sum(n9,n7))
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7290,f245]) ).
fof(f7290,plain,
( sum(pred(sum(n20,n10)),sum(n9,pred(n8))) = sK0
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7289,f512]) ).
fof(f512,plain,
n8 = sum(n20,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7289,plain,
( sum(pred(sum(n20,n10)),sum(n9,pred(sum(n20,n9)))) = sK0
| ~ spl3_10
| ~ spl3_34 ),
inference(backward_demodulation,[],[f7124,f859]) ).
fof(f7287,plain,
( ~ spl3_10
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f7286]) ).
fof(f7286,plain,
( $false
| ~ spl3_10
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f7285,f306]) ).
fof(f7285,plain,
( n8 = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7284,f626]) ).
fof(f626,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f7284,plain,
( sum(n0,n8) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7283,f96]) ).
fof(f7283,plain,
( sK0 = sum(pred(n1),n8)
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7282,f429]) ).
fof(f7282,plain,
( sum(pred(sum(n12,n10)),n8) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7281,f213]) ).
fof(f7281,plain,
( sum(pred(sum(n12,n10)),sum(n9,n20)) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7280,f342]) ).
fof(f7280,plain,
( sum(pred(sum(n12,n10)),sum(n9,pred(n0))) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7279,f336]) ).
fof(f7279,plain,
( sK0 = sum(pred(sum(n12,n10)),sum(n9,pred(sum(n12,n9))))
| ~ spl3_10
| ~ spl3_23 ),
inference(backward_demodulation,[],[f7124,f815]) ).
fof(f7269,plain,
( ~ spl3_10
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f7268]) ).
fof(f7268,plain,
( $false
| ~ spl3_10
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f7267,f123]) ).
fof(f7267,plain,
( n9 = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7266,f615]) ).
fof(f615,plain,
n9 = sum(n11,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f7266,plain,
( sum(n11,n19) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7265,f461]) ).
fof(f7265,plain,
( sum(pred(n12),n19) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7264,f604]) ).
fof(f604,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f7264,plain,
( sum(pred(sum(n2,n10)),n19) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7263,f354]) ).
fof(f354,plain,
n19 = sum(n9,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f7263,plain,
( sum(pred(sum(n2,n10)),sum(n9,n10)) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7262,f45]) ).
fof(f7262,plain,
( sum(pred(sum(n2,n10)),sum(n9,pred(n11))) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7261,f281]) ).
fof(f281,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7261,plain,
( sum(pred(sum(n2,n10)),sum(n9,pred(sum(n2,n9)))) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(backward_demodulation,[],[f7124,f823]) ).
fof(f7237,plain,
( ~ spl3_10
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f7236]) ).
fof(f7236,plain,
( $false
| ~ spl3_10
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f7235,f307]) ).
fof(f7235,plain,
( n17 = sK0
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7234,f106]) ).
fof(f106,plain,
n17 = sum(n15,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f7234,plain,
( sum(n15,n2) = sK0
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7233,f387]) ).
fof(f7233,plain,
( sK0 = sum(pred(n16),n2)
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7232,f722]) ).
fof(f7232,plain,
( sum(pred(sum(n6,n10)),n2) = sK0
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7231,f538]) ).
fof(f7231,plain,
( sum(pred(sum(n6,n10)),sum(n9,n14)) = sK0
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7230,f164]) ).
fof(f7230,plain,
( sum(pred(sum(n6,n10)),sum(n9,pred(n15))) = sK0
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7229,f516]) ).
fof(f516,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7229,plain,
( sum(pred(sum(n6,n10)),sum(n9,pred(sum(n6,n9)))) = sK0
| ~ spl3_10
| ~ spl3_36 ),
inference(backward_demodulation,[],[f7124,f867]) ).
fof(f7220,plain,
( ~ spl3_10
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7219]) ).
fof(f7219,plain,
( $false
| ~ spl3_10
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7218,f393]) ).
fof(f7218,plain,
( n0 = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7217,f74]) ).
fof(f74,plain,
n0 = sum(n17,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f7217,plain,
( sum(n17,n4) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7216,f622]) ).
fof(f7216,plain,
( sum(pred(n18),n4) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7215,f103]) ).
fof(f103,plain,
n18 = sum(n8,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f7215,plain,
( sum(pred(sum(n8,n10)),n4) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7214,f478]) ).
fof(f478,plain,
n4 = sum(n9,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f7214,plain,
( sum(pred(sum(n8,n10)),sum(n9,n16)) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7213,f661]) ).
fof(f7213,plain,
( sum(pred(sum(n8,n10)),sum(n9,pred(n17))) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7212,f328]) ).
fof(f328,plain,
n17 = sum(n8,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7212,plain,
( sK0 = sum(pred(sum(n8,n10)),sum(n9,pred(sum(n8,n9))))
| ~ spl3_10
| ~ spl3_29 ),
inference(backward_demodulation,[],[f7124,f839]) ).
fof(f7199,plain,
( ~ spl3_10
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f7198]) ).
fof(f7198,plain,
( $false
| ~ spl3_10
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f7197,f102]) ).
fof(f7197,plain,
( n10 = sK0
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7196,f572]) ).
fof(f572,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7196,plain,
( sum(n1,n9) = sK0
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7195,f680]) ).
fof(f7195,plain,
( sK0 = sum(pred(n2),n9)
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7194,f357]) ).
fof(f357,plain,
n2 = sum(n13,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f7194,plain,
( sum(pred(sum(n13,n10)),n9) = sK0
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7193,f47]) ).
fof(f47,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f7193,plain,
( sK0 = sum(pred(sum(n13,n10)),sum(n9,n0))
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7192,f96]) ).
fof(f7192,plain,
( sum(pred(sum(n13,n10)),sum(n9,pred(n1))) = sK0
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7191,f318]) ).
fof(f318,plain,
n1 = sum(n13,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7191,plain,
( sK0 = sum(pred(sum(n13,n10)),sum(n9,pred(sum(n13,n9))))
| ~ spl3_10
| ~ spl3_38 ),
inference(backward_demodulation,[],[f7124,f875]) ).
fof(f7184,plain,
( ~ spl3_10
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f7183]) ).
fof(f7183,plain,
( $false
| ~ spl3_10
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f7182,f60]) ).
fof(f7182,plain,
( n1 = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7181,f330]) ).
fof(f330,plain,
n1 = sum(n7,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f7181,plain,
( sum(n7,n15) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7180,f245]) ).
fof(f7180,plain,
( sum(pred(n8),n15) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7179,f664]) ).
fof(f7179,plain,
( sK0 = sum(pred(sum(n19,n10)),n15)
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7178,f189]) ).
fof(f189,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f7178,plain,
( sum(pred(sum(n19,n10)),sum(n9,n6)) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7177,f423]) ).
fof(f7177,plain,
( sK0 = sum(pred(sum(n19,n10)),sum(n9,pred(n7)))
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7176,f198]) ).
fof(f7176,plain,
( sum(pred(sum(n19,n10)),sum(n9,pred(sum(n19,n9)))) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(backward_demodulation,[],[f7124,f835]) ).
fof(f7159,plain,
( ~ spl3_10
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7158]) ).
fof(f7158,plain,
( $false
| ~ spl3_10
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7157,f637]) ).
fof(f7157,plain,
( n7 = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7156,f24]) ).
fof(f24,plain,
n7 = sum(n10,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f7156,plain,
( sum(n10,n18) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7155,f45]) ).
fof(f7155,plain,
( sum(pred(n11),n18) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7154,f394]) ).
fof(f394,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f7154,plain,
( sum(pred(sum(n1,n10)),n18) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7153,f553]) ).
fof(f553,plain,
n18 = sum(n9,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f7153,plain,
( sum(pred(sum(n1,n10)),sum(n9,n9)) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7152,f231]) ).
fof(f7152,plain,
( sum(pred(sum(n1,n10)),sum(n9,pred(n10))) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7151,f572]) ).
fof(f7151,plain,
( sK0 = sum(pred(sum(n1,n10)),sum(n9,pred(sum(n1,n9))))
| ~ spl3_10
| ~ spl3_32 ),
inference(backward_demodulation,[],[f7124,f851]) ).
fof(f7147,plain,
( ~ spl3_10
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f7146]) ).
fof(f7146,plain,
( $false
| ~ spl3_10
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f7145,f128]) ).
fof(f7145,plain,
( n15 = sK0
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7144,f433]) ).
fof(f433,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f7144,plain,
( sum(n14,n1) = sK0
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7143,f164]) ).
fof(f7143,plain,
( sum(pred(n15),n1) = sK0
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7142,f713]) ).
fof(f7142,plain,
( sum(pred(sum(n5,n10)),n1) = sK0
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7141,f138]) ).
fof(f138,plain,
n1 = sum(n9,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f7141,plain,
( sum(pred(sum(n5,n10)),sum(n9,n13)) = sK0
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7140,f278]) ).
fof(f7140,plain,
( sum(pred(sum(n5,n10)),sum(n9,pred(n14))) = sK0
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7139,f635]) ).
fof(f7139,plain,
( sK0 = sum(pred(sum(n5,n10)),sum(n9,pred(sum(n5,n9))))
| ~ spl3_10
| ~ spl3_40 ),
inference(backward_demodulation,[],[f7124,f883]) ).
fof(f7121,plain,
( ~ spl3_10
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f7120]) ).
fof(f7120,plain,
( $false
| ~ spl3_10
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f7119,f663]) ).
fof(f7119,plain,
( n20 = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7118,f16]) ).
fof(f16,plain,
n20 = sum(n6,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f7118,plain,
( sum(n6,n14) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7117,f423]) ).
fof(f7117,plain,
( sK0 = sum(pred(n7),n14)
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7116,f339]) ).
fof(f339,plain,
n7 = sum(n18,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f7116,plain,
( sum(pred(sum(n18,n10)),n14) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7115,f389]) ).
fof(f7115,plain,
( sK0 = sum(pred(sum(n18,succ(n9))),n14)
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7114,f417]) ).
fof(f7114,plain,
( sum(pred(sum(n18,succ(n9))),sum(n9,n5)) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7113,f581]) ).
fof(f7113,plain,
( sum(pred(sum(n18,succ(n9))),sum(n9,pred(n6))) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7112,f22]) ).
fof(f7112,plain,
( sum(pred(sum(n18,succ(n9))),sum(n9,pred(sum(n18,n9)))) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(backward_demodulation,[],[f7101,f762]) ).
fof(f7101,plain,
( sum(pred(sum(n18,succ(sK2))),sum(sK2,pred(sum(n18,sK2)))) = sK0
| ~ spl3_30 ),
inference(forward_demodulation,[],[f244,f843]) ).
fof(f7099,plain,
( ~ spl3_3
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f7098]) ).
fof(f7098,plain,
( $false
| ~ spl3_3
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f7097,f12]) ).
fof(f7097,plain,
( n11 = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7096,f636]) ).
fof(f636,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f7096,plain,
( sum(n9,n2) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7095,f231]) ).
fof(f7095,plain,
( sum(pred(n10),n2) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7094,f653]) ).
fof(f7094,plain,
( sum(pred(sum(n15,n16)),n2) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7093,f109]) ).
fof(f7093,plain,
( sum(pred(sum(n15,succ(n15))),n2) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7092,f457]) ).
fof(f457,plain,
n2 = sum(n15,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f7092,plain,
( sum(pred(sum(n15,succ(n15))),sum(n15,n8)) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7091,f540]) ).
fof(f7091,plain,
( sum(pred(sum(n15,succ(n15))),sum(n15,pred(n9))) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7090,f19]) ).
fof(f7090,plain,
( sum(pred(sum(n15,succ(n15))),sum(n15,pred(sum(n15,n15)))) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6892,f734]) ).
fof(f6892,plain,
( sum(pred(sum(n15,succ(sK2))),sum(sK2,pred(sum(n15,sK2)))) = sK0
| ~ spl3_27 ),
inference(backward_demodulation,[],[f244,f831]) ).
fof(f831,plain,
( n15 = sK1
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f829,plain,
( spl3_27
<=> n15 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f7083,plain,
( ~ spl3_1
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f7082]) ).
fof(f7082,plain,
( $false
| ~ spl3_1
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f7081,f663]) ).
fof(f7081,plain,
( n20 = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7080,f209]) ).
fof(f7080,plain,
( sum(n12,n8) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7079,f378]) ).
fof(f7079,plain,
( sK0 = sum(pred(n13),n8)
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7078,f400]) ).
fof(f7078,plain,
( sK0 = sum(pred(sum(n15,n19)),n8)
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7077,f569]) ).
fof(f7077,plain,
( sum(pred(sum(n15,succ(n18))),n8) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7076,f544]) ).
fof(f7076,plain,
( sum(pred(sum(n15,succ(n18))),sum(n18,n11)) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7075,f461]) ).
fof(f7075,plain,
( sum(pred(sum(n15,succ(n18))),sum(n18,pred(n12))) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7074,f396]) ).
fof(f396,plain,
n12 = sum(n15,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f7074,plain,
( sK0 = sum(pred(sum(n15,succ(n18))),sum(n18,pred(sum(n15,n18))))
| ~ spl3_1
| ~ spl3_27 ),
inference(backward_demodulation,[],[f6892,f726]) ).
fof(f7072,plain,
( ~ spl3_7
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f7071]) ).
fof(f7071,plain,
( $false
| ~ spl3_7
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f7070,f111]) ).
fof(f7070,plain,
( n5 = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7069,f606]) ).
fof(f606,plain,
n5 = sum(n14,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f7069,plain,
( sum(n14,n12) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7068,f164]) ).
fof(f7068,plain,
( sum(pred(n15),n12) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7067,f476]) ).
fof(f7067,plain,
( sum(pred(sum(n15,n0)),n12) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7066,f370]) ).
fof(f7066,plain,
( sum(pred(sum(n15,succ(n20))),n12) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7065,f48]) ).
fof(f7065,plain,
( sum(pred(sum(n15,succ(n20))),sum(n20,n13)) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7064,f278]) ).
fof(f7064,plain,
( sK0 = sum(pred(sum(n15,succ(n20))),sum(n20,pred(n14)))
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7063,f692]) ).
fof(f7063,plain,
( sK0 = sum(pred(sum(n15,succ(n20))),sum(n20,pred(sum(n15,n20))))
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6892,f750]) ).
fof(f7062,plain,
( ~ spl3_4
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f7061]) ).
fof(f7061,plain,
( $false
| ~ spl3_4
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f7060,f307]) ).
fof(f7060,plain,
( n17 = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7059,f590]) ).
fof(f590,plain,
n17 = sum(n11,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f7059,plain,
( sum(n11,n6) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7058,f461]) ).
fof(f7058,plain,
( sum(pred(n12),n6) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7057,f396]) ).
fof(f7057,plain,
( sum(pred(sum(n15,n18)),n6) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7056,f363]) ).
fof(f7056,plain,
( sum(pred(sum(n15,succ(n17))),n6) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7055,f583]) ).
fof(f7055,plain,
( sum(pred(sum(n15,succ(n17))),sum(n17,n10)) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7054,f45]) ).
fof(f7054,plain,
( sum(pred(sum(n15,succ(n17))),sum(n17,pred(n11))) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7053,f600]) ).
fof(f7053,plain,
( sum(pred(sum(n15,succ(n17))),sum(n17,pred(sum(n15,n17)))) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6892,f738]) ).
fof(f7048,plain,
( ~ spl3_13
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f7047]) ).
fof(f7047,plain,
( $false
| ~ spl3_13
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f7046,f306]) ).
fof(f7046,plain,
( n8 = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7045,f424]) ).
fof(f7045,plain,
( sum(n1,n7) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7044,f680]) ).
fof(f7044,plain,
( sum(pred(n2),n7) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7043,f457]) ).
fof(f7043,plain,
( sum(pred(sum(n15,n8)),n7) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7042,f413]) ).
fof(f7042,plain,
( sum(pred(sum(n15,succ(n7))),n7) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7041,f562]) ).
fof(f7041,plain,
( sK0 = sum(pred(sum(n15,succ(n7))),sum(n7,n0))
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7040,f96]) ).
fof(f7040,plain,
( sum(pred(sum(n15,succ(n7))),sum(n7,pred(n1))) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7039,f263]) ).
fof(f263,plain,
n1 = sum(n15,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f7039,plain,
( sum(pred(sum(n15,succ(n7))),sum(n7,pred(sum(n15,n7)))) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6892,f774]) ).
fof(f7022,plain,
( ~ spl3_11
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f7021]) ).
fof(f7021,plain,
( $false
| ~ spl3_11
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f7020,f509]) ).
fof(f7020,plain,
( n2 = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7019,f704]) ).
fof(f7019,plain,
( sum(n20,n3) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7018,f342]) ).
fof(f7018,plain,
( sum(pred(n0),n3) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7017,f335]) ).
fof(f7017,plain,
( sum(pred(sum(n15,n6)),n3) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7016,f420]) ).
fof(f7016,plain,
( sum(pred(sum(n15,succ(n5))),n3) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7015,f376]) ).
fof(f7015,plain,
( sum(pred(sum(n15,succ(n5))),sum(n5,n19)) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7014,f148]) ).
fof(f7014,plain,
( sum(pred(sum(n15,succ(n5))),sum(n5,pred(n20))) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7013,f638]) ).
fof(f7013,plain,
( sum(pred(sum(n15,succ(n5))),sum(n5,pred(sum(n15,n5)))) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6892,f766]) ).
fof(f7001,plain,
( ~ spl3_10
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f7000]) ).
fof(f7000,plain,
( $false
| ~ spl3_10
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f6999,f140]) ).
fof(f6999,plain,
( n14 = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6998,f345]) ).
fof(f345,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f6998,plain,
( sum(n3,n11) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6997,f165]) ).
fof(f6997,plain,
( sK0 = sum(pred(n4),n11)
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6996,f362]) ).
fof(f6996,plain,
( sum(pred(sum(n15,n10)),n11) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6995,f389]) ).
fof(f6995,plain,
( sK0 = sum(pred(sum(n15,succ(n9))),n11)
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6994,f636]) ).
fof(f6994,plain,
( sum(pred(sum(n15,succ(n9))),sum(n9,n2)) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6993,f480]) ).
fof(f6993,plain,
( sum(pred(sum(n15,succ(n9))),sum(n9,pred(n3))) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6992,f251]) ).
fof(f251,plain,
n3 = sum(n15,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6992,plain,
( sum(pred(sum(n15,succ(n9))),sum(n9,pred(sum(n15,n9)))) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(backward_demodulation,[],[f6892,f762]) ).
fof(f6978,plain,
( ~ spl3_6
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f6977]) ).
fof(f6977,plain,
( $false
| ~ spl3_6
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f6976,f306]) ).
fof(f6976,plain,
( n8 = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6975,f136]) ).
fof(f136,plain,
n8 = sum(n15,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f6975,plain,
( sum(n15,n14) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6974,f387]) ).
fof(f6974,plain,
( sK0 = sum(pred(n16),n14)
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6973,f504]) ).
fof(f6973,plain,
( sK0 = sum(pred(sum(n15,n1)),n14)
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6972,f543]) ).
fof(f6972,plain,
( sum(pred(sum(n15,succ(n0))),n14) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6971,f426]) ).
fof(f6971,plain,
( sum(pred(sum(n15,succ(n0))),sum(n0,n14)) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6970,f164]) ).
fof(f6970,plain,
( sum(pred(sum(n15,succ(n0))),sum(n0,pred(n15))) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6969,f476]) ).
fof(f6969,plain,
( sum(pred(sum(n15,succ(n0))),sum(n0,pred(sum(n15,n0)))) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(backward_demodulation,[],[f6892,f746]) ).
fof(f6950,plain,
( ~ spl3_12
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f6949]) ).
fof(f6949,plain,
( $false
| ~ spl3_12
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f6948,f509]) ).
fof(f6948,plain,
( n2 = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6947,f357]) ).
fof(f6947,plain,
( sum(n13,n10) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6946,f278]) ).
fof(f6946,plain,
( sum(pred(n14),n10) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6945,f692]) ).
fof(f6945,plain,
( sum(pred(sum(n15,n20)),n10) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6944,f249]) ).
fof(f6944,plain,
( sum(pred(sum(n15,succ(n19))),n10) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6943,f493]) ).
fof(f6943,plain,
( sum(pred(sum(n15,succ(n19))),sum(n19,n12)) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6942,f378]) ).
fof(f6942,plain,
( sum(pred(sum(n15,succ(n19))),sum(n19,pred(n13))) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6941,f400]) ).
fof(f6941,plain,
( sum(pred(sum(n15,succ(n19))),sum(n19,pred(sum(n15,n19)))) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(backward_demodulation,[],[f6892,f770]) ).
fof(f6936,plain,
( ~ spl3_14
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f6935]) ).
fof(f6935,plain,
( $false
| ~ spl3_14
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f6934,f509]) ).
fof(f6934,plain,
( n2 = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6933,f216]) ).
fof(f6933,plain,
( sum(n6,n17) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6932,f423]) ).
fof(f6932,plain,
( sum(pred(n7),n17) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6931,f206]) ).
fof(f6931,plain,
( sum(pred(sum(n15,n13)),n17) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6930,f322]) ).
fof(f6930,plain,
( sum(pred(sum(n15,succ(n12))),n17) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6929,f531]) ).
fof(f6929,plain,
( sum(pred(sum(n15,succ(n12))),sum(n12,n5)) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6928,f581]) ).
fof(f6928,plain,
( sum(pred(sum(n15,succ(n12))),sum(n12,pred(n6))) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6927,f675]) ).
fof(f6927,plain,
( sum(pred(sum(n15,succ(n12))),sum(n12,pred(sum(n15,n12)))) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6892,f778]) ).
fof(f6920,plain,
( ~ spl3_5
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f6919]) ).
fof(f6919,plain,
( $false
| ~ spl3_5
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f6918,f111]) ).
fof(f6918,plain,
( n5 = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6917,f467]) ).
fof(f6917,plain,
( sum(n0,n5) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6916,f96]) ).
fof(f6916,plain,
( sK0 = sum(pred(n1),n5)
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6915,f263]) ).
fof(f6915,plain,
( sum(pred(sum(n15,n7)),n5) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6914,f137]) ).
fof(f6914,plain,
( sK0 = sum(pred(sum(n15,succ(n6))),n5)
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6913,f386]) ).
fof(f6913,plain,
( sK0 = sum(pred(sum(n15,succ(n6))),sum(n6,n20))
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6912,f342]) ).
fof(f6912,plain,
( sum(pred(sum(n15,succ(n6))),sum(n6,pred(n0))) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6911,f335]) ).
fof(f6911,plain,
( sum(pred(sum(n15,succ(n6))),sum(n6,pred(sum(n15,n6)))) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(backward_demodulation,[],[f6892,f742]) ).
fof(f6891,plain,
( ~ spl3_9
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f6890]) ).
fof(f6890,plain,
( $false
| ~ spl3_9
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f6889,f140]) ).
fof(f6889,plain,
( n14 = sK0
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6888,f718]) ).
fof(f6888,plain,
( sum(n7,n7) = sK0
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6887,f245]) ).
fof(f6887,plain,
( sK0 = sum(pred(n8),n7)
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6886,f382]) ).
fof(f6886,plain,
( sK0 = sum(pred(sum(n6,n2)),n7)
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6885,f705]) ).
fof(f6885,plain,
( sum(pred(sum(n6,n2)),sum(n1,n6)) = sK0
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6884,f423]) ).
fof(f6884,plain,
( sum(pred(sum(n6,n2)),sum(n1,pred(n7))) = sK0
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6883,f25]) ).
fof(f6883,plain,
( sum(pred(sum(n6,n2)),sum(n1,pred(sum(n6,n1)))) = sK0
| ~ spl3_9
| ~ spl3_36 ),
inference(backward_demodulation,[],[f6725,f867]) ).
fof(f6725,plain,
( sum(pred(sum(sK1,n2)),sum(n1,pred(sum(sK1,n1)))) = sK0
| ~ spl3_9 ),
inference(forward_demodulation,[],[f6663,f20]) ).
fof(f20,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
fof(f6663,plain,
( sum(pred(sum(sK1,succ(n1))),sum(n1,pred(sum(sK1,n1)))) = sK0
| ~ spl3_9 ),
inference(forward_demodulation,[],[f244,f758]) ).
fof(f758,plain,
( n1 = sK2
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f756,plain,
( spl3_9
<=> n1 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f6868,plain,
( ~ spl3_9
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f6867]) ).
fof(f6867,plain,
( $false
| ~ spl3_9
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f6866,f12]) ).
fof(f6866,plain,
( n11 = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6865,f445]) ).
fof(f445,plain,
n11 = sum(n16,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f6865,plain,
( sum(n16,n16) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6864,f661]) ).
fof(f6864,plain,
( sK0 = sum(pred(n17),n16)
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6863,f106]) ).
fof(f6863,plain,
( sK0 = sum(pred(sum(n15,n2)),n16)
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6862,f706]) ).
fof(f6862,plain,
( sum(pred(sum(n15,n2)),sum(n1,n15)) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6861,f387]) ).
fof(f6861,plain,
( sK0 = sum(pred(sum(n15,n2)),sum(n1,pred(n16)))
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6860,f504]) ).
fof(f6860,plain,
( sum(pred(sum(n15,n2)),sum(n1,pred(sum(n15,n1)))) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6725,f831]) ).
fof(f6854,plain,
( ~ spl3_9
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f6853]) ).
fof(f6853,plain,
( $false
| ~ spl3_9
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f6852,f277]) ).
fof(f6852,plain,
( n19 = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6851,f195]) ).
fof(f6851,plain,
( sum(n20,n20) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6850,f342]) ).
fof(f6850,plain,
( sum(pred(n0),n20) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6849,f113]) ).
fof(f6849,plain,
( sK0 = sum(pred(sum(n19,n2)),n20)
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6848,f707]) ).
fof(f6848,plain,
( sK0 = sum(pred(sum(n19,n2)),sum(n1,n19))
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6847,f148]) ).
fof(f6847,plain,
( sum(pred(sum(n19,n2)),sum(n1,pred(n20))) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6846,f194]) ).
fof(f6846,plain,
( sum(pred(sum(n19,n2)),sum(n1,pred(sum(n19,n1)))) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6725,f835]) ).
fof(f6844,plain,
( ~ spl3_9
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f6843]) ).
fof(f6843,plain,
( $false
| ~ spl3_9
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f6842,f306]) ).
fof(f6842,plain,
( n8 = sK0
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6841,f612]) ).
fof(f612,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6841,plain,
( sum(n4,n4) = sK0
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6840,f708]) ).
fof(f6840,plain,
( sK0 = sum(pred(n5),n4)
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6839,f391]) ).
fof(f6839,plain,
( sum(pred(sum(n3,n2)),n4) = sK0
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6838,f454]) ).
fof(f454,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6838,plain,
( sum(pred(sum(n3,n2)),sum(n1,n3)) = sK0
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6837,f165]) ).
fof(f6837,plain,
( sum(pred(sum(n3,n2)),sum(n1,pred(n4))) = sK0
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6836,f642]) ).
fof(f6836,plain,
( sum(pred(sum(n3,n2)),sum(n1,pred(sum(n3,n1)))) = sK0
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6725,f891]) ).
fof(f6818,plain,
( ~ spl3_9
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f6817]) ).
fof(f6817,plain,
( $false
| ~ spl3_9
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f6816,f393]) ).
fof(f6816,plain,
( n0 = sK0
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6815,f407]) ).
fof(f6815,plain,
( sum(n0,n0) = sK0
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6814,f96]) ).
fof(f6814,plain,
( sK0 = sum(pred(n1),n0)
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6813,f513]) ).
fof(f513,plain,
n1 = sum(n20,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6813,plain,
( sum(pred(sum(n20,n2)),n0) = sK0
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6812,f17]) ).
fof(f6812,plain,
( sum(pred(sum(n20,n2)),sum(n1,n20)) = sK0
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6811,f342]) ).
fof(f6811,plain,
( sum(pred(sum(n20,n2)),sum(n1,pred(n0))) = sK0
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6810,f157]) ).
fof(f6810,plain,
( sK0 = sum(pred(sum(n20,n2)),sum(n1,pred(sum(n20,n1))))
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6725,f859]) ).
fof(f6806,plain,
( ~ spl3_9
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f6805]) ).
fof(f6805,plain,
( $false
| ~ spl3_9
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f6804,f470]) ).
fof(f6804,plain,
( n18 = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6803,f553]) ).
fof(f6803,plain,
( sum(n9,n9) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6802,f231]) ).
fof(f6802,plain,
( sum(pred(n10),n9) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6801,f46]) ).
fof(f46,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6801,plain,
( sum(pred(sum(n8,n2)),n9) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6800,f152]) ).
fof(f6800,plain,
( sK0 = sum(pred(sum(n8,n2)),sum(n1,n8))
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6799,f540]) ).
fof(f6799,plain,
( sum(pred(sum(n8,n2)),sum(n1,pred(n9))) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6798,f482]) ).
fof(f6798,plain,
( sum(pred(sum(n8,n2)),sum(n1,pred(sum(n8,n1)))) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6725,f839]) ).
fof(f6785,plain,
( ~ spl3_9
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f6784]) ).
fof(f6784,plain,
( $false
| ~ spl3_9
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f6783,f637]) ).
fof(f6783,plain,
( n7 = sK0
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6782,f358]) ).
fof(f358,plain,
n7 = sum(n14,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f6782,plain,
( sum(n14,n14) = sK0
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6781,f164]) ).
fof(f6781,plain,
( sum(pred(n15),n14) = sK0
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6780,f475]) ).
fof(f475,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6780,plain,
( sum(pred(sum(n13,n2)),n14) = sK0
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6779,f598]) ).
fof(f6779,plain,
( sK0 = sum(pred(sum(n13,n2)),sum(n1,n13))
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6778,f278]) ).
fof(f6778,plain,
( sum(pred(sum(n13,n2)),sum(n1,pred(n14))) = sK0
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6777,f575]) ).
fof(f6777,plain,
( sK0 = sum(pred(sum(n13,n2)),sum(n1,pred(sum(n13,n1))))
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6725,f875]) ).
fof(f6771,plain,
( ~ spl3_9
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f6770]) ).
fof(f6770,plain,
( $false
| ~ spl3_9
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f6769,f44]) ).
fof(f6769,plain,
( n12 = sK0
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6768,f437]) ).
fof(f6768,plain,
( sum(n6,n6) = sK0
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6767,f423]) ).
fof(f6767,plain,
( sum(pred(n7),n6) = sK0
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6766,f485]) ).
fof(f6766,plain,
( sum(pred(sum(n5,n2)),n6) = sK0
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6765,f655]) ).
fof(f6765,plain,
( sum(pred(sum(n5,n2)),sum(n1,n5)) = sK0
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6764,f581]) ).
fof(f6764,plain,
( sK0 = sum(pred(sum(n5,n2)),sum(n1,pred(n6)))
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6763,f578]) ).
fof(f6763,plain,
( sK0 = sum(pred(sum(n5,n2)),sum(n1,pred(sum(n5,n1))))
| ~ spl3_9
| ~ spl3_40 ),
inference(backward_demodulation,[],[f6725,f883]) ).
fof(f6750,plain,
( ~ spl3_9
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f6749]) ).
fof(f6749,plain,
( $false
| ~ spl3_9
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f6748,f432]) ).
fof(f6748,plain,
( n6 = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6747,f287]) ).
fof(f287,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6747,plain,
( sum(n3,n3) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6746,f165]) ).
fof(f6746,plain,
( sK0 = sum(pred(n4),n3)
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6745,f537]) ).
fof(f537,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6745,plain,
( sum(pred(sum(n2,n2)),n3) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6744,f368]) ).
fof(f368,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6744,plain,
( sum(pred(sum(n2,n2)),sum(n1,n2)) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6743,f480]) ).
fof(f6743,plain,
( sum(pred(sum(n2,n2)),sum(n1,pred(n3))) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6742,f292]) ).
fof(f6742,plain,
( sum(pred(sum(n2,n2)),sum(n1,pred(sum(n2,n1)))) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(backward_demodulation,[],[f6725,f823]) ).
fof(f6722,plain,
( ~ spl3_9
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f6721]) ).
fof(f6721,plain,
( $false
| ~ spl3_9
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f6720,f111]) ).
fof(f6720,plain,
( n5 = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6719,f62]) ).
fof(f6719,plain,
( sum(n13,n13) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6718,f278]) ).
fof(f6718,plain,
( sum(pred(n14),n13) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6717,f303]) ).
fof(f6717,plain,
( sum(pred(sum(n12,n2)),n13) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6716,f20]) ).
fof(f6716,plain,
( sum(pred(sum(n12,succ(n1))),n13) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6715,f197]) ).
fof(f6715,plain,
( sum(pred(sum(n12,succ(n1))),sum(n1,n12)) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6714,f378]) ).
fof(f6714,plain,
( sum(pred(sum(n12,succ(n1))),sum(n1,pred(n13))) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6713,f295]) ).
fof(f6713,plain,
( sum(pred(sum(n12,succ(n1))),sum(n1,pred(sum(n12,n1)))) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6663,f815]) ).
fof(f6706,plain,
( ~ spl3_9
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f6705]) ).
fof(f6705,plain,
( $false
| ~ spl3_9
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f6704,f453]) ).
fof(f6704,plain,
( n4 = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6703,f537]) ).
fof(f6703,plain,
( sum(n2,n2) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6702,f480]) ).
fof(f6702,plain,
( sum(pred(n3),n2) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6701,f368]) ).
fof(f6701,plain,
( sK0 = sum(pred(sum(n1,n2)),n2)
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6700,f20]) ).
fof(f6700,plain,
( sK0 = sum(pred(sum(n1,succ(n1))),n2)
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6699,f202]) ).
fof(f6699,plain,
( sum(pred(sum(n1,succ(n1))),sum(n1,n1)) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6698,f680]) ).
fof(f6698,plain,
( sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2))) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6697,f202]) ).
fof(f6697,plain,
( sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1)))) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6663,f851]) ).
fof(f6673,plain,
( ~ spl3_9
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f6672]) ).
fof(f6672,plain,
( $false
| ~ spl3_9
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f6671,f307]) ).
fof(f6671,plain,
( n17 = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6670,f614]) ).
fof(f6670,plain,
( sum(n19,n19) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6669,f148]) ).
fof(f6669,plain,
( sum(pred(n20),n19) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6668,f97]) ).
fof(f6668,plain,
( sK0 = sum(pred(sum(n18,n2)),n19)
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6667,f20]) ).
fof(f6667,plain,
( sK0 = sum(pred(sum(n18,succ(n1))),n19)
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6666,f671]) ).
fof(f6666,plain,
( sum(pred(sum(n18,succ(n1))),sum(n1,n18)) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6665,f576]) ).
fof(f6665,plain,
( sK0 = sum(pred(sum(n18,succ(n1))),sum(n1,pred(n19)))
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6664,f539]) ).
fof(f6664,plain,
( sum(pred(sum(n18,succ(n1))),sum(n1,pred(sum(n18,n1)))) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6663,f843]) ).
fof(f6649,plain,
( ~ spl3_5
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6648]) ).
fof(f6648,plain,
( $false
| ~ spl3_5
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6647,f453]) ).
fof(f6647,plain,
( n4 = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6646,f279]) ).
fof(f279,plain,
n4 = sum(n10,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f6646,plain,
( sum(n10,n15) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6645,f45]) ).
fof(f6645,plain,
( sum(pred(n11),n15) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6644,f595]) ).
fof(f595,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f6644,plain,
( sum(pred(sum(n4,n7)),n15) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6643,f137]) ).
fof(f6643,plain,
( sum(pred(sum(n4,succ(n6))),n15) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6642,f516]) ).
fof(f6642,plain,
( sum(pred(sum(n4,succ(n6))),sum(n6,n9)) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6641,f231]) ).
fof(f6641,plain,
( sK0 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(n10)))
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6640,f527]) ).
fof(f527,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6640,plain,
( sK0 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(sum(n4,n6))))
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6421,f742]) ).
fof(f6421,plain,
( sK0 = sum(pred(sum(n4,succ(sK2))),sum(sK2,pred(sum(n4,sK2))))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f244,f827]) ).
fof(f827,plain,
( n4 = sK1
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f825,plain,
( spl3_26
<=> n4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f6625,plain,
( ~ spl3_4
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6624]) ).
fof(f6624,plain,
( $false
| ~ spl3_4
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6623,f118]) ).
fof(f6623,plain,
( n16 = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6622,f650]) ).
fof(f650,plain,
n16 = sum(n0,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f6622,plain,
( sum(n0,n16) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6621,f96]) ).
fof(f6621,plain,
( sK0 = sum(pred(n1),n16)
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6620,f112]) ).
fof(f112,plain,
n1 = sum(n4,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f6620,plain,
( sK0 = sum(pred(sum(n4,n18)),n16)
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6619,f363]) ).
fof(f6619,plain,
( sum(pred(sum(n4,succ(n17))),n16) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6618,f629]) ).
fof(f629,plain,
n16 = sum(n17,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f6618,plain,
( sum(pred(sum(n4,succ(n17))),sum(n17,n20)) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6617,f342]) ).
fof(f6617,plain,
( sum(pred(sum(n4,succ(n17))),sum(n17,pred(n0))) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6616,f374]) ).
fof(f374,plain,
n0 = sum(n4,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f6616,plain,
( sum(pred(sum(n4,succ(n17))),sum(n17,pred(sum(n4,n17)))) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6421,f738]) ).
fof(f6608,plain,
( ~ spl3_11
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6607]) ).
fof(f6607,plain,
( $false
| ~ spl3_11
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6606,f60]) ).
fof(f6606,plain,
( n1 = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6605,f138]) ).
fof(f6605,plain,
( sum(n9,n13) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6604,f231]) ).
fof(f6604,plain,
( sK0 = sum(pred(n10),n13)
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6603,f527]) ).
fof(f6603,plain,
( sum(pred(sum(n4,n6)),n13) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6602,f420]) ).
fof(f6602,plain,
( sum(pred(sum(n4,succ(n5))),n13) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6601,f205]) ).
fof(f6601,plain,
( sK0 = sum(pred(sum(n4,succ(n5))),sum(n5,n8))
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6600,f540]) ).
fof(f6600,plain,
( sum(pred(sum(n4,succ(n5))),sum(n5,pred(n9))) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6599,f555]) ).
fof(f555,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6599,plain,
( sum(pred(sum(n4,succ(n5))),sum(n5,pred(sum(n4,n5)))) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6421,f766]) ).
fof(f6587,plain,
( ~ spl3_10
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6586]) ).
fof(f6586,plain,
( $false
| ~ spl3_10
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6585,f43]) ).
fof(f6585,plain,
( n13 = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6584,f390]) ).
fof(f6584,plain,
( sum(n13,n0) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6583,f278]) ).
fof(f6583,plain,
( sK0 = sum(pred(n14),n0)
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6582,f193]) ).
fof(f6582,plain,
( sum(pred(sum(n4,n10)),n0) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6581,f389]) ).
fof(f6581,plain,
( sum(pred(sum(n4,succ(n9))),n0) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6580,f399]) ).
fof(f399,plain,
n0 = sum(n9,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6580,plain,
( sum(pred(sum(n4,succ(n9))),sum(n9,n12)) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6579,f378]) ).
fof(f6579,plain,
( sum(pred(sum(n4,succ(n9))),sum(n9,pred(n13))) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6578,f42]) ).
fof(f6578,plain,
( sK0 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(sum(n4,n9))))
| ~ spl3_10
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6421,f762]) ).
fof(f6564,plain,
( ~ spl3_14
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6563]) ).
fof(f6563,plain,
( $false
| ~ spl3_14
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6562,f60]) ).
fof(f6562,plain,
( n1 = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6561,f500]) ).
fof(f500,plain,
n1 = sum(n16,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6561,plain,
( sum(n16,n6) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6560,f661]) ).
fof(f6560,plain,
( sum(pred(n17),n6) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6559,f256]) ).
fof(f256,plain,
n17 = sum(n4,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f6559,plain,
( sum(pred(sum(n4,n13)),n6) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6558,f322]) ).
fof(f6558,plain,
( sum(pred(sum(n4,succ(n12))),n6) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6557,f528]) ).
fof(f6557,plain,
( sum(pred(sum(n4,succ(n12))),sum(n12,n15)) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6556,f387]) ).
fof(f6556,plain,
( sum(pred(sum(n4,succ(n12))),sum(n12,pred(n16))) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6555,f83]) ).
fof(f83,plain,
n16 = sum(n4,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6555,plain,
( sK0 = sum(pred(sum(n4,succ(n12))),sum(n12,pred(sum(n4,n12))))
| ~ spl3_14
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6421,f778]) ).
fof(f6548,plain,
( ~ spl3_3
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6547]) ).
fof(f6547,plain,
( $false
| ~ spl3_3
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6546,f102]) ).
fof(f6546,plain,
( n10 = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6545,f493]) ).
fof(f6545,plain,
( sum(n19,n12) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6544,f148]) ).
fof(f6544,plain,
( sum(pred(n20),n12) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6543,f535]) ).
fof(f535,plain,
n20 = sum(n4,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f6543,plain,
( sum(pred(sum(n4,n16)),n12) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6542,f109]) ).
fof(f6542,plain,
( sK0 = sum(pred(sum(n4,succ(n15))),n12)
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6541,f396]) ).
fof(f6541,plain,
( sum(pred(sum(n4,succ(n15))),sum(n15,n18)) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6540,f576]) ).
fof(f6540,plain,
( sK0 = sum(pred(sum(n4,succ(n15))),sum(n15,pred(n19)))
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6539,f620]) ).
fof(f6539,plain,
( sum(pred(sum(n4,succ(n15))),sum(n15,pred(sum(n4,n15)))) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6421,f734]) ).
fof(f6533,plain,
( ~ spl3_7
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6532]) ).
fof(f6532,plain,
( $false
| ~ spl3_7
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6531,f453]) ).
fof(f6531,plain,
( n4 = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6530,f642]) ).
fof(f6530,plain,
( sum(n3,n1) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6529,f165]) ).
fof(f6529,plain,
( sK0 = sum(pred(n4),n1)
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6528,f122]) ).
fof(f122,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6528,plain,
( sum(pred(sum(n4,n0)),n1) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6527,f370]) ).
fof(f6527,plain,
( sum(pred(sum(n4,succ(n20))),n1) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6526,f513]) ).
fof(f6526,plain,
( sum(pred(sum(n4,succ(n20))),sum(n20,n2)) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6525,f480]) ).
fof(f6525,plain,
( sK0 = sum(pred(sum(n4,succ(n20))),sum(n20,pred(n3)))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6524,f181]) ).
fof(f6524,plain,
( sum(pred(sum(n4,succ(n20))),sum(n20,pred(sum(n4,n20)))) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6421,f750]) ).
fof(f6521,plain,
( ~ spl3_9
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6520]) ).
fof(f6520,plain,
( $false
| ~ spl3_9
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6519,f102]) ).
fof(f6519,plain,
( n10 = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6518,f315]) ).
fof(f6518,plain,
( sum(n5,n5) = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6517,f581]) ).
fof(f6517,plain,
( sK0 = sum(pred(n6),n5)
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6516,f211]) ).
fof(f6516,plain,
( sum(pred(sum(n4,n2)),n5) = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6515,f20]) ).
fof(f6515,plain,
( sK0 = sum(pred(sum(n4,succ(n1))),n5)
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6514,f450]) ).
fof(f450,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6514,plain,
( sum(pred(sum(n4,succ(n1))),sum(n1,n4)) = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6513,f708]) ).
fof(f6513,plain,
( sK0 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(n5)))
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6512,f422]) ).
fof(f6512,plain,
( sK0 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(sum(n4,n1))))
| ~ spl3_9
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6421,f758]) ).
fof(f6494,plain,
( ~ spl3_12
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6493]) ).
fof(f6493,plain,
( $false
| ~ spl3_12
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6492,f60]) ).
fof(f6492,plain,
( n1 = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6491,f91]) ).
fof(f6491,plain,
( sum(n2,n20) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6490,f480]) ).
fof(f6490,plain,
( sum(pred(n3),n20) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6489,f181]) ).
fof(f6489,plain,
( sK0 = sum(pred(sum(n4,n20)),n20)
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6488,f249]) ).
fof(f6488,plain,
( sK0 = sum(pred(sum(n4,succ(n19))),n20)
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6487,f194]) ).
fof(f6487,plain,
( sum(pred(sum(n4,succ(n19))),sum(n19,n1)) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6486,f680]) ).
fof(f6486,plain,
( sK0 = sum(pred(sum(n4,succ(n19))),sum(n19,pred(n2)))
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6485,f56]) ).
fof(f56,plain,
n2 = sum(n4,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f6485,plain,
( sK0 = sum(pred(sum(n4,succ(n19))),sum(n19,pred(sum(n4,n19))))
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6421,f770]) ).
fof(f6478,plain,
( ~ spl3_6
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6477]) ).
fof(f6477,plain,
( $false
| ~ spl3_6
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6476,f637]) ).
fof(f6476,plain,
( n7 = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6475,f696]) ).
fof(f696,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6475,plain,
( sum(n4,n3) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6474,f708]) ).
fof(f6474,plain,
( sum(pred(n5),n3) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6473,f422]) ).
fof(f6473,plain,
( sK0 = sum(pred(sum(n4,n1)),n3)
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6472,f543]) ).
fof(f6472,plain,
( sum(pred(sum(n4,succ(n0))),n3) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6471,f397]) ).
fof(f397,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6471,plain,
( sum(pred(sum(n4,succ(n0))),sum(n0,n3)) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6470,f165]) ).
fof(f6470,plain,
( sum(pred(sum(n4,succ(n0))),sum(n0,pred(n4))) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6469,f122]) ).
fof(f6469,plain,
( sK0 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(sum(n4,n0))))
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6421,f746]) ).
fof(f6454,plain,
( ~ spl3_13
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6453]) ).
fof(f6453,plain,
( $false
| ~ spl3_13
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6452,f637]) ).
fof(f6452,plain,
( n7 = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6451,f261]) ).
fof(f261,plain,
n7 = sum(n11,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f6451,plain,
( sum(n11,n17) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6450,f461]) ).
fof(f6450,plain,
( sum(pred(n12),n17) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6449,f15]) ).
fof(f6449,plain,
( sum(pred(sum(n4,n8)),n17) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6448,f413]) ).
fof(f6448,plain,
( sum(pred(sum(n4,succ(n7))),n17) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6447,f430]) ).
fof(f430,plain,
n17 = sum(n7,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6447,plain,
( sum(pred(sum(n4,succ(n7))),sum(n7,n10)) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6446,f45]) ).
fof(f6446,plain,
( sK0 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(n11)))
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6445,f595]) ).
fof(f6445,plain,
( sum(pred(sum(n4,succ(n7))),sum(n7,pred(sum(n4,n7)))) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6421,f774]) ).
fof(f6432,plain,
( ~ spl3_1
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6431]) ).
fof(f6431,plain,
( $false
| ~ spl3_1
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6430,f277]) ).
fof(f6430,plain,
( n19 = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6429,f671]) ).
fof(f6429,plain,
( sum(n1,n18) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6428,f680]) ).
fof(f6428,plain,
( sum(pred(n2),n18) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6427,f56]) ).
fof(f6427,plain,
( sum(pred(sum(n4,n19)),n18) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6426,f569]) ).
fof(f6426,plain,
( sum(pred(sum(n4,succ(n18))),n18) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6425,f175]) ).
fof(f6425,plain,
( sum(pred(sum(n4,succ(n18))),sum(n18,n0)) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6424,f96]) ).
fof(f6424,plain,
( sum(pred(sum(n4,succ(n18))),sum(n18,pred(n1))) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6423,f112]) ).
fof(f6423,plain,
( sK0 = sum(pred(sum(n4,succ(n18))),sum(n18,pred(sum(n4,n18))))
| ~ spl3_1
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6421,f726]) ).
fof(f6405,plain,
( ~ spl3_8
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f6404]) ).
fof(f6404,plain,
( $false
| ~ spl3_8
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f6403,f393]) ).
fof(f6403,plain,
( n0 = sK0
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6402,f660]) ).
fof(f6402,plain,
( sum(n7,n14) = sK0
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6401,f245]) ).
fof(f6401,plain,
( sum(pred(n8),n14) = sK0
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6400,f512]) ).
fof(f6400,plain,
( sK0 = sum(pred(sum(n20,n9)),n14)
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6399,f340]) ).
fof(f6399,plain,
( sum(pred(sum(n20,n9)),sum(n8,n6)) = sK0
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6398,f423]) ).
fof(f6398,plain,
( sK0 = sum(pred(sum(n20,n9)),sum(n8,pred(n7)))
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6397,f714]) ).
fof(f6397,plain,
( sum(pred(sum(n20,n9)),sum(n8,pred(sum(n20,n8)))) = sK0
| ~ spl3_8
| ~ spl3_34 ),
inference(backward_demodulation,[],[f6167,f859]) ).
fof(f6167,plain,
( sum(pred(sum(sK1,n9)),sum(n8,pred(sum(sK1,n8)))) = sK0
| ~ spl3_8 ),
inference(forward_demodulation,[],[f6166,f505]) ).
fof(f505,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f5]) ).
fof(f6166,plain,
( sum(pred(sum(sK1,succ(n8))),sum(n8,pred(sum(sK1,n8)))) = sK0
| ~ spl3_8 ),
inference(forward_demodulation,[],[f244,f754]) ).
fof(f754,plain,
( n8 = sK2
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl3_8
<=> n8 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f6392,plain,
( ~ spl3_8
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f6391]) ).
fof(f6391,plain,
( $false
| ~ spl3_8
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f6390,f637]) ).
fof(f6390,plain,
( n7 = sK0
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6389,f69]) ).
fof(f6389,plain,
( sum(n0,n7) = sK0
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6388,f96]) ).
fof(f6388,plain,
( sum(pred(n1),n7) = sK0
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6387,f318]) ).
fof(f6387,plain,
( sK0 = sum(pred(sum(n13,n9)),n7)
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6386,f477]) ).
fof(f6386,plain,
( sum(pred(sum(n13,n9)),sum(n8,n20)) = sK0
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6385,f342]) ).
fof(f6385,plain,
( sum(pred(sum(n13,n9)),sum(n8,pred(n0))) = sK0
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6384,f469]) ).
fof(f6384,plain,
( sK0 = sum(pred(sum(n13,n9)),sum(n8,pred(sum(n13,n8))))
| ~ spl3_8
| ~ spl3_38 ),
inference(backward_demodulation,[],[f6167,f875]) ).
fof(f6369,plain,
( ~ spl3_8
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f6368]) ).
fof(f6368,plain,
( $false
| ~ spl3_8
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f6367,f306]) ).
fof(f6367,plain,
( n8 = sK0
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6366,f87]) ).
fof(f87,plain,
n8 = sum(n11,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f6366,plain,
( sum(n11,n18) = sK0
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6365,f461]) ).
fof(f6365,plain,
( sum(pred(n12),n18) = sK0
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6364,f401]) ).
fof(f6364,plain,
( sum(pred(sum(n3,n9)),n18) = sK0
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6363,f103]) ).
fof(f6363,plain,
( sum(pred(sum(n3,n9)),sum(n8,n10)) = sK0
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6362,f45]) ).
fof(f6362,plain,
( sum(pred(sum(n3,n9)),sum(n8,pred(n11))) = sK0
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6361,f61]) ).
fof(f6361,plain,
( sum(pred(sum(n3,n9)),sum(n8,pred(sum(n3,n8)))) = sK0
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f6167,f891]) ).
fof(f6353,plain,
( ~ spl3_8
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f6352]) ).
fof(f6352,plain,
( $false
| ~ spl3_8
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f6351,f470]) ).
fof(f6351,plain,
( n18 = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6350,f502]) ).
fof(f502,plain,
n18 = sum(n16,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6350,plain,
( sum(n16,n2) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6349,f661]) ).
fof(f6349,plain,
( sum(pred(n17),n2) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6348,f328]) ).
fof(f6348,plain,
( sum(pred(sum(n8,n9)),n2) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6347,f717]) ).
fof(f6347,plain,
( sum(pred(sum(n8,n9)),sum(n8,n15)) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6346,f387]) ).
fof(f6346,plain,
( sum(pred(sum(n8,n9)),sum(n8,pred(n16))) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6345,f492]) ).
fof(f6345,plain,
( sum(pred(sum(n8,n9)),sum(n8,pred(sum(n8,n8)))) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(backward_demodulation,[],[f6167,f839]) ).
fof(f6332,plain,
( ~ spl3_8
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f6331]) ).
fof(f6331,plain,
( $false
| ~ spl3_8
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f6330,f12]) ).
fof(f6330,plain,
( n11 = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6329,f281]) ).
fof(f6329,plain,
( sum(n2,n9) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6328,f480]) ).
fof(f6328,plain,
( sum(pred(n3),n9) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6327,f251]) ).
fof(f6327,plain,
( sum(pred(sum(n15,n9)),n9) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6326,f482]) ).
fof(f6326,plain,
( sK0 = sum(pred(sum(n15,n9)),sum(n8,n1))
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6325,f680]) ).
fof(f6325,plain,
( sum(pred(sum(n15,n9)),sum(n8,pred(n2))) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6324,f457]) ).
fof(f6324,plain,
( sum(pred(sum(n15,n9)),sum(n8,pred(sum(n15,n8)))) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6167,f831]) ).
fof(f6318,plain,
( ~ spl3_8
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f6317]) ).
fof(f6317,plain,
( $false
| ~ spl3_8
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f6316,f277]) ).
fof(f6316,plain,
( n19 = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6315,f226]) ).
fof(f6315,plain,
( sum(n6,n13) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6314,f423]) ).
fof(f6314,plain,
( sum(pred(n7),n13) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6313,f198]) ).
fof(f6313,plain,
( sum(pred(sum(n19,n9)),n13) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6312,f404]) ).
fof(f6312,plain,
( sum(pred(sum(n19,n9)),sum(n8,n5)) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6311,f581]) ).
fof(f6311,plain,
( sK0 = sum(pred(sum(n19,n9)),sum(n8,pred(n6)))
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6310,f115]) ).
fof(f6310,plain,
( sK0 = sum(pred(sum(n19,n9)),sum(n8,pred(sum(n19,n8))))
| ~ spl3_8
| ~ spl3_28 ),
inference(backward_demodulation,[],[f6167,f835]) ).
fof(f6299,plain,
( ~ spl3_8
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6298]) ).
fof(f6298,plain,
( $false
| ~ spl3_8
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6297,f102]) ).
fof(f6297,plain,
( n10 = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6296,f703]) ).
fof(f6296,plain,
( sum(n12,n19) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6295,f378]) ).
fof(f6295,plain,
( sum(pred(n13),n19) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6294,f42]) ).
fof(f6294,plain,
( sK0 = sum(pred(sum(n4,n9)),n19)
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6293,f353]) ).
fof(f353,plain,
n19 = sum(n8,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f6293,plain,
( sum(pred(sum(n4,n9)),sum(n8,n11)) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6292,f461]) ).
fof(f6292,plain,
( sK0 = sum(pred(sum(n4,n9)),sum(n8,pred(n12)))
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6291,f15]) ).
fof(f6291,plain,
( sum(pred(sum(n4,n9)),sum(n8,pred(sum(n4,n8)))) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(backward_demodulation,[],[f6167,f827]) ).
fof(f6281,plain,
( ~ spl3_8
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f6280]) ).
fof(f6280,plain,
( $false
| ~ spl3_8
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f6279,f44]) ).
fof(f6279,plain,
( n12 = sK0
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6278,f497]) ).
fof(f6278,plain,
( sum(n13,n20) = sK0
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6277,f278]) ).
fof(f6277,plain,
( sK0 = sum(pred(n14),n20)
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6276,f635]) ).
fof(f6276,plain,
( sK0 = sum(pred(sum(n5,n9)),n20)
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6275,f174]) ).
fof(f6275,plain,
( sK0 = sum(pred(sum(n5,n9)),sum(n8,n12))
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6274,f378]) ).
fof(f6274,plain,
( sum(pred(sum(n5,n9)),sum(n8,pred(n13))) = sK0
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6273,f205]) ).
fof(f6273,plain,
( sum(pred(sum(n5,n9)),sum(n8,pred(sum(n5,n8)))) = sK0
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6167,f883]) ).
fof(f6258,plain,
( ~ spl3_8
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f6257]) ).
fof(f6257,plain,
( $false
| ~ spl3_8
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f6256,f140]) ).
fof(f6256,plain,
( n14 = sK0
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6255,f349]) ).
fof(f349,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6255,plain,
( sum(n14,n0) = sK0
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6254,f164]) ).
fof(f6254,plain,
( sK0 = sum(pred(n15),n0)
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6253,f516]) ).
fof(f6253,plain,
( sum(pred(sum(n6,n9)),n0) = sK0
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6252,f331]) ).
fof(f6252,plain,
( sum(pred(sum(n6,n9)),sum(n8,n13)) = sK0
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6251,f278]) ).
fof(f6251,plain,
( sK0 = sum(pred(sum(n6,n9)),sum(n8,pred(n14)))
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6250,f312]) ).
fof(f6250,plain,
( sum(pred(sum(n6,n9)),sum(n8,pred(sum(n6,n8)))) = sK0
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6167,f867]) ).
fof(f6231,plain,
( ~ spl3_8
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f6230]) ).
fof(f6230,plain,
( $false
| ~ spl3_8
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f6229,f453]) ).
fof(f6229,plain,
( n4 = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6228,f478]) ).
fof(f6228,plain,
( sum(n9,n16) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6227,f231]) ).
fof(f6227,plain,
( sum(pred(n10),n16) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6226,f572]) ).
fof(f6226,plain,
( sK0 = sum(pred(sum(n1,n9)),n16)
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6225,f492]) ).
fof(f6225,plain,
( sK0 = sum(pred(sum(n1,n9)),sum(n8,n8))
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6224,f540]) ).
fof(f6224,plain,
( sum(pred(sum(n1,n9)),sum(n8,pred(n9))) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6223,f152]) ).
fof(f6223,plain,
( sum(pred(sum(n1,n9)),sum(n8,pred(sum(n1,n8)))) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6167,f851]) ).
fof(f6209,plain,
( ~ spl3_8
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f6208]) ).
fof(f6208,plain,
( $false
| ~ spl3_8
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f6207,f432]) ).
fof(f6207,plain,
( n6 = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6206,f442]) ).
fof(f442,plain,
n6 = sum(n10,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f6206,plain,
( sum(n10,n17) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6205,f45]) ).
fof(f6205,plain,
( sum(pred(n11),n17) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6204,f281]) ).
fof(f6204,plain,
( sum(pred(sum(n2,n9)),n17) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6203,f328]) ).
fof(f6203,plain,
( sum(pred(sum(n2,n9)),sum(n8,n9)) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6202,f231]) ).
fof(f6202,plain,
( sK0 = sum(pred(sum(n2,n9)),sum(n8,pred(n10)))
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6201,f682]) ).
fof(f6201,plain,
( sum(pred(sum(n2,n9)),sum(n8,pred(sum(n2,n8)))) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(backward_demodulation,[],[f6167,f823]) ).
fof(f6184,plain,
( ~ spl3_8
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f6183]) ).
fof(f6183,plain,
( $false
| ~ spl3_8
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f6182,f111]) ).
fof(f6182,plain,
( n5 = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6181,f608]) ).
fof(f6181,plain,
( sum(n20,n6) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6180,f342]) ).
fof(f6180,plain,
( sK0 = sum(pred(n0),n6)
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6179,f336]) ).
fof(f6179,plain,
( sum(pred(sum(n12,n9)),n6) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6178,f32]) ).
fof(f6178,plain,
( sK0 = sum(pred(sum(n12,n9)),sum(n8,n19))
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6177,f148]) ).
fof(f6177,plain,
( sK0 = sum(pred(sum(n12,n9)),sum(n8,pred(n20)))
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6176,f209]) ).
fof(f6176,plain,
( sum(pred(sum(n12,n9)),sum(n8,pred(sum(n12,n8)))) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(backward_demodulation,[],[f6167,f815]) ).
fof(f6163,plain,
( ~ spl3_8
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f6162]) ).
fof(f6162,plain,
( $false
| ~ spl3_8
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f6161,f307]) ).
fof(f6161,plain,
( n17 = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6160,f687]) ).
fof(f6160,plain,
( sum(n5,n12) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6159,f581]) ).
fof(f6159,plain,
( sum(pred(n6),n12) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6158,f22]) ).
fof(f6158,plain,
( sK0 = sum(pred(sum(n18,n9)),n12)
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6157,f505]) ).
fof(f6157,plain,
( sum(pred(sum(n18,succ(n8))),n12) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6156,f589]) ).
fof(f589,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6156,plain,
( sK0 = sum(pred(sum(n18,succ(n8))),sum(n8,n4))
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6155,f708]) ).
fof(f6155,plain,
( sum(pred(sum(n18,succ(n8))),sum(n8,pred(n5))) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6154,f411]) ).
fof(f6154,plain,
( sum(pred(sum(n18,succ(n8))),sum(n8,pred(sum(n18,n8)))) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(backward_demodulation,[],[f6142,f754]) ).
fof(f6142,plain,
( sum(pred(sum(n18,succ(sK2))),sum(sK2,pred(sum(n18,sK2)))) = sK0
| ~ spl3_30 ),
inference(forward_demodulation,[],[f244,f843]) ).
fof(f6141,plain,
( ~ spl3_12
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6140]) ).
fof(f6140,plain,
( $false
| ~ spl3_12
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6139,f637]) ).
fof(f6139,plain,
( n7 = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6138,f485]) ).
fof(f6138,plain,
( sum(n5,n2) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6137,f581]) ).
fof(f6137,plain,
( sum(pred(n6),n2) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6136,f304]) ).
fof(f304,plain,
n6 = sum(n7,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f6136,plain,
( sum(pred(sum(n7,n20)),n2) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6135,f249]) ).
fof(f6135,plain,
( sum(pred(sum(n7,succ(n19))),n2) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6134,f224]) ).
fof(f6134,plain,
( sum(pred(sum(n7,succ(n19))),sum(n19,n4)) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6133,f708]) ).
fof(f6133,plain,
( sK0 = sum(pred(sum(n7,succ(n19))),sum(n19,pred(n5)))
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6132,f89]) ).
fof(f6132,plain,
( sum(pred(sum(n7,succ(n19))),sum(n19,pred(sum(n7,n19)))) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5936,f770]) ).
fof(f5936,plain,
( sK0 = sum(pred(sum(n7,succ(sK2))),sum(sK2,pred(sum(n7,sK2))))
| ~ spl3_24 ),
inference(forward_demodulation,[],[f244,f819]) ).
fof(f819,plain,
( n7 = sK1
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f817,plain,
( spl3_24
<=> n7 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f6130,plain,
( ~ spl3_7
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6129]) ).
fof(f6129,plain,
( $false
| ~ spl3_7
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6128,f102]) ).
fof(f6128,plain,
( n10 = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6127,f694]) ).
fof(f6127,plain,
( sum(n6,n4) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6126,f423]) ).
fof(f6126,plain,
( sum(pred(n7),n4) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6125,f562]) ).
fof(f6125,plain,
( sK0 = sum(pred(sum(n7,n0)),n4)
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6124,f370]) ).
fof(f6124,plain,
( sum(pred(sum(n7,succ(n20))),n4) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6123,f438]) ).
fof(f6123,plain,
( sum(pred(sum(n7,succ(n20))),sum(n20,n5)) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6122,f581]) ).
fof(f6122,plain,
( sK0 = sum(pred(sum(n7,succ(n20))),sum(n20,pred(n6)))
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6121,f304]) ).
fof(f6121,plain,
( sum(pred(sum(n7,succ(n20))),sum(n20,pred(sum(n7,n20)))) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5936,f750]) ).
fof(f6120,plain,
( ~ spl3_1
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6119]) ).
fof(f6119,plain,
( $false
| ~ spl3_1
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6118,f453]) ).
fof(f6118,plain,
( n4 = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6117,f122]) ).
fof(f6117,plain,
( sum(n4,n0) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6116,f708]) ).
fof(f6116,plain,
( sum(pred(n5),n0) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6115,f89]) ).
fof(f6115,plain,
( sum(pred(sum(n7,n19)),n0) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6114,f569]) ).
fof(f6114,plain,
( sum(pred(sum(n7,succ(n18))),n0) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6113,f172]) ).
fof(f172,plain,
n0 = sum(n18,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6113,plain,
( sK0 = sum(pred(sum(n7,succ(n18))),sum(n18,n3))
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6112,f165]) ).
fof(f6112,plain,
( sum(pred(sum(n7,succ(n18))),sum(n18,pred(n4))) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6111,f7]) ).
fof(f6111,plain,
( sum(pred(sum(n7,succ(n18))),sum(n18,pred(sum(n7,n18)))) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5936,f726]) ).
fof(f6108,plain,
( ~ spl3_4
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6107]) ).
fof(f6107,plain,
( $false
| ~ spl3_4
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6106,f60]) ).
fof(f6106,plain,
( n1 = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6105,f464]) ).
fof(f6105,plain,
( sum(n3,n19) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6104,f165]) ).
fof(f6104,plain,
( sum(pred(n4),n19) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6103,f7]) ).
fof(f6103,plain,
( sum(pred(sum(n7,n18)),n19) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6102,f363]) ).
fof(f6102,plain,
( sum(pred(sum(n7,succ(n17))),n19) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6101,f187]) ).
fof(f187,plain,
n19 = sum(n17,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6101,plain,
( sum(pred(sum(n7,succ(n17))),sum(n17,n2)) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6100,f480]) ).
fof(f6100,plain,
( sK0 = sum(pred(sum(n7,succ(n17))),sum(n17,pred(n3)))
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6099,f689]) ).
fof(f689,plain,
n3 = sum(n7,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f6099,plain,
( sum(pred(sum(n7,succ(n17))),sum(n17,pred(sum(n7,n17)))) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5936,f738]) ).
fof(f6091,plain,
( ~ spl3_10
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6090]) ).
fof(f6090,plain,
( $false
| ~ spl3_10
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6089,f277]) ).
fof(f6089,plain,
( n19 = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6088,f525]) ).
fof(f525,plain,
n19 = sum(n16,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6088,plain,
( sum(n16,n3) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6087,f661]) ).
fof(f6087,plain,
( sum(pred(n17),n3) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6086,f430]) ).
fof(f6086,plain,
( sK0 = sum(pred(sum(n7,n10)),n3)
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6085,f389]) ).
fof(f6085,plain,
( sum(pred(sum(n7,succ(n9))),n3) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6084,f617]) ).
fof(f6084,plain,
( sum(pred(sum(n7,succ(n9))),sum(n9,n15)) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6083,f387]) ).
fof(f6083,plain,
( sum(pred(sum(n7,succ(n9))),sum(n9,pred(n16))) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6082,f545]) ).
fof(f6082,plain,
( sK0 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(sum(n7,n9))))
| ~ spl3_10
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5936,f762]) ).
fof(f6064,plain,
( ~ spl3_5
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6063]) ).
fof(f6063,plain,
( $false
| ~ spl3_5
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6062,f102]) ).
fof(f6062,plain,
( n10 = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6061,f240]) ).
fof(f6061,plain,
( sum(n13,n18) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6060,f278]) ).
fof(f6060,plain,
( sum(pred(n14),n18) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6059,f718]) ).
fof(f6059,plain,
( sum(pred(sum(n7,n7)),n18) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6058,f137]) ).
fof(f6058,plain,
( sK0 = sum(pred(sum(n7,succ(n6))),n18)
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6057,f79]) ).
fof(f6057,plain,
( sK0 = sum(pred(sum(n7,succ(n6))),sum(n6,n12))
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6056,f378]) ).
fof(f6056,plain,
( sum(pred(sum(n7,succ(n6))),sum(n6,pred(n13))) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6055,f667]) ).
fof(f667,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6055,plain,
( sum(pred(sum(n7,succ(n6))),sum(n6,pred(sum(n7,n6)))) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5936,f742]) ).
fof(f6049,plain,
( ~ spl3_9
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6048]) ).
fof(f6048,plain,
( $false
| ~ spl3_9
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6047,f118]) ).
fof(f6047,plain,
( n16 = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6046,f492]) ).
fof(f6046,plain,
( sum(n8,n8) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6045,f540]) ).
fof(f6045,plain,
( sum(pred(n9),n8) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6044,f618]) ).
fof(f618,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6044,plain,
( sK0 = sum(pred(sum(n7,n2)),n8)
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6043,f20]) ).
fof(f6043,plain,
( sum(pred(sum(n7,succ(n1))),n8) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6042,f424]) ).
fof(f6042,plain,
( sum(pred(sum(n7,succ(n1))),sum(n1,n7)) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6041,f245]) ).
fof(f6041,plain,
( sum(pred(sum(n7,succ(n1))),sum(n1,pred(n8))) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6040,f257]) ).
fof(f257,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6040,plain,
( sum(pred(sum(n7,succ(n1))),sum(n1,pred(sum(n7,n1)))) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5936,f758]) ).
fof(f6017,plain,
( ~ spl3_6
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6016]) ).
fof(f6016,plain,
( $false
| ~ spl3_6
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6015,f43]) ).
fof(f6015,plain,
( n13 = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6014,f667]) ).
fof(f6014,plain,
( sum(n7,n6) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6013,f245]) ).
fof(f6013,plain,
( sum(pred(n8),n6) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6012,f257]) ).
fof(f6012,plain,
( sum(pred(sum(n7,n1)),n6) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6011,f543]) ).
fof(f6011,plain,
( sum(pred(sum(n7,succ(n0))),n6) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6010,f591]) ).
fof(f591,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6010,plain,
( sK0 = sum(pred(sum(n7,succ(n0))),sum(n0,n6))
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6009,f423]) ).
fof(f6009,plain,
( sum(pred(sum(n7,succ(n0))),sum(n0,pred(n7))) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6008,f562]) ).
fof(f6008,plain,
( sum(pred(sum(n7,succ(n0))),sum(n0,pred(sum(n7,n0)))) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5936,f746]) ).
fof(f5990,plain,
( ~ spl3_14
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f5989]) ).
fof(f5989,plain,
( $false
| ~ spl3_14
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f5988,f637]) ).
fof(f5988,plain,
( n7 = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5987,f198]) ).
fof(f5987,plain,
( sum(n19,n9) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5986,f148]) ).
fof(f5986,plain,
( sK0 = sum(pred(n20),n9)
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5985,f254]) ).
fof(f254,plain,
n20 = sum(n7,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f5985,plain,
( sum(pred(sum(n7,n13)),n9) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5984,f322]) ).
fof(f5984,plain,
( sum(pred(sum(n7,succ(n12))),n9) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5983,f468]) ).
fof(f5983,plain,
( sK0 = sum(pred(sum(n7,succ(n12))),sum(n12,n18))
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5982,f576]) ).
fof(f5982,plain,
( sum(pred(sum(n7,succ(n12))),sum(n12,pred(n19))) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5981,f338]) ).
fof(f5981,plain,
( sum(pred(sum(n7,succ(n12))),sum(n12,pred(sum(n7,n12)))) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5936,f778]) ).
fof(f5973,plain,
( ~ spl3_3
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f5972]) ).
fof(f5972,plain,
( $false
| ~ spl3_3
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f5971,f118]) ).
fof(f5971,plain,
( n16 = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5970,f706]) ).
fof(f5970,plain,
( sum(n1,n15) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5969,f680]) ).
fof(f5969,plain,
( sum(pred(n2),n15) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5968,f550]) ).
fof(f550,plain,
n2 = sum(n7,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f5968,plain,
( sum(pred(sum(n7,n16)),n15) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5967,f109]) ).
fof(f5967,plain,
( sum(pred(sum(n7,succ(n15))),n15) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5966,f476]) ).
fof(f5966,plain,
( sum(pred(sum(n7,succ(n15))),sum(n15,n0)) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5965,f96]) ).
fof(f5965,plain,
( sum(pred(sum(n7,succ(n15))),sum(n15,pred(n1))) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5964,f330]) ).
fof(f5964,plain,
( sK0 = sum(pred(sum(n7,succ(n15))),sum(n15,pred(sum(n7,n15))))
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5936,f734]) ).
fof(f5953,plain,
( ~ spl3_13
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f5952]) ).
fof(f5952,plain,
( $false
| ~ spl3_13
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f5951,f43]) ).
fof(f5951,plain,
( n13 = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5950,f75]) ).
fof(f75,plain,
n13 = sum(n14,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f5950,plain,
( sum(n14,n20) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5949,f164]) ).
fof(f5949,plain,
( sK0 = sum(pred(n15),n20)
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5948,f158]) ).
fof(f5948,plain,
( sum(pred(sum(n7,n8)),n20) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5947,f413]) ).
fof(f5947,plain,
( sK0 = sum(pred(sum(n7,succ(n7))),n20)
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5946,f254]) ).
fof(f5946,plain,
( sum(pred(sum(n7,succ(n7))),sum(n7,n13)) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5945,f278]) ).
fof(f5945,plain,
( sum(pred(sum(n7,succ(n7))),sum(n7,pred(n14))) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5944,f718]) ).
fof(f5944,plain,
( sum(pred(sum(n7,succ(n7))),sum(n7,pred(sum(n7,n7)))) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5936,f774]) ).
fof(f5928,plain,
( ~ spl3_8
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f5927]) ).
fof(f5927,plain,
( $false
| ~ spl3_8
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f5926,f118]) ).
fof(f5926,plain,
( n16 = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5925,f504]) ).
fof(f5925,plain,
( sum(n15,n1) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5924,f387]) ).
fof(f5924,plain,
( sum(pred(n16),n1) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5923,f545]) ).
fof(f5923,plain,
( sum(pred(sum(n7,n9)),n1) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5922,f505]) ).
fof(f5922,plain,
( sum(pred(sum(n7,succ(n8))),n1) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5921,f632]) ).
fof(f5921,plain,
( sK0 = sum(pred(sum(n7,succ(n8))),sum(n8,n14))
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5920,f164]) ).
fof(f5920,plain,
( sum(pred(sum(n7,succ(n8))),sum(n8,pred(n15))) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5919,f158]) ).
fof(f5919,plain,
( sum(pred(sum(n7,succ(n8))),sum(n8,pred(sum(n7,n8)))) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5918,f819]) ).
fof(f5918,plain,
( sum(pred(sum(sK1,succ(n8))),sum(n8,pred(sum(sK1,n8)))) = sK0
| ~ spl3_8 ),
inference(forward_demodulation,[],[f244,f754]) ).
fof(f5912,plain,
( ~ spl3_11
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f5911]) ).
fof(f5911,plain,
( $false
| ~ spl3_11
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f5910,f637]) ).
fof(f5910,plain,
( n7 = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5909,f135]) ).
fof(f5909,plain,
( sum(n12,n16) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5908,f378]) ).
fof(f5908,plain,
( sum(pred(n13),n16) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5907,f667]) ).
fof(f5907,plain,
( sum(pred(sum(n7,n6)),n16) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5906,f9]) ).
fof(f5906,plain,
( sum(pred(sum(n7,n6)),sum(n5,n11)) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5905,f461]) ).
fof(f5905,plain,
( sK0 = sum(pred(sum(n7,n6)),sum(n5,pred(n12)))
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5904,f282]) ).
fof(f5904,plain,
( sum(pred(sum(n7,n6)),sum(n5,pred(sum(n7,n5)))) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5889,f819]) ).
fof(f5889,plain,
( sum(pred(sum(sK1,n6)),sum(n5,pred(sum(sK1,n5)))) = sK0
| ~ spl3_11 ),
inference(forward_demodulation,[],[f5888,f420]) ).
fof(f5888,plain,
( sum(pred(sum(sK1,succ(n5))),sum(n5,pred(sum(sK1,n5)))) = sK0
| ~ spl3_11 ),
inference(forward_demodulation,[],[f244,f766]) ).
fof(f5868,plain,
( ~ spl3_15
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f5867]) ).
fof(f5867,plain,
( $false
| ~ spl3_15
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f5866,f277]) ).
fof(f5866,plain,
( n19 = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5865,f246]) ).
fof(f246,plain,
n19 = sum(n15,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5865,plain,
( sum(n15,n4) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5864,f387]) ).
fof(f5864,plain,
( sum(pred(n16),n4) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5863,f83]) ).
fof(f5863,plain,
( sK0 = sum(pred(sum(n4,n12)),n4)
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5862,f541]) ).
fof(f541,plain,
n4 = sum(n11,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5862,plain,
( sum(pred(sum(n4,n12)),sum(n11,n14)) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5861,f164]) ).
fof(f5861,plain,
( sum(pred(sum(n4,n12)),sum(n11,pred(n15))) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5860,f627]) ).
fof(f627,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5860,plain,
( sum(pred(sum(n4,n12)),sum(n11,pred(sum(n4,n11)))) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5622,f827]) ).
fof(f5622,plain,
( sK0 = sum(pred(sum(sK1,n12)),sum(n11,pred(sum(sK1,n11))))
| ~ spl3_15 ),
inference(forward_demodulation,[],[f5601,f55]) ).
fof(f55,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f5]) ).
fof(f5601,plain,
( sK0 = sum(pred(sum(sK1,succ(n11))),sum(n11,pred(sum(sK1,n11))))
| ~ spl3_15 ),
inference(forward_demodulation,[],[f244,f782]) ).
fof(f782,plain,
( n11 = sK2
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f780,plain,
( spl3_15
<=> n11 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f5850,plain,
( ~ spl3_15
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f5849]) ).
fof(f5849,plain,
( $false
| ~ spl3_15
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f5848,f307]) ).
fof(f5848,plain,
( n17 = sK0
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5847,f85]) ).
fof(f85,plain,
n17 = sum(n14,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5847,plain,
( sum(n14,n3) = sK0
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5846,f164]) ).
fof(f5846,plain,
( sum(pred(n15),n3) = sK0
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5845,f346]) ).
fof(f5845,plain,
( sum(pred(sum(n3,n12)),n3) = sK0
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5844,f640]) ).
fof(f640,plain,
n3 = sum(n11,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f5844,plain,
( sum(pred(sum(n3,n12)),sum(n11,n13)) = sK0
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5843,f278]) ).
fof(f5843,plain,
( sum(pred(sum(n3,n12)),sum(n11,pred(n14))) = sK0
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5842,f345]) ).
fof(f5842,plain,
( sK0 = sum(pred(sum(n3,n12)),sum(n11,pred(sum(n3,n11))))
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5622,f891]) ).
fof(f5824,plain,
( ~ spl3_15
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f5823]) ).
fof(f5823,plain,
( $false
| ~ spl3_15
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f5822,f43]) ).
fof(f5822,plain,
( n13 = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5821,f295]) ).
fof(f5821,plain,
( sum(n12,n1) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5820,f378]) ).
fof(f5820,plain,
( sum(pred(n13),n1) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5819,f197]) ).
fof(f5819,plain,
( sK0 = sum(pred(sum(n1,n12)),n1)
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5818,f649]) ).
fof(f649,plain,
n1 = sum(n11,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5818,plain,
( sum(pred(sum(n1,n12)),sum(n11,n11)) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5817,f461]) ).
fof(f5817,plain,
( sK0 = sum(pred(sum(n1,n12)),sum(n11,pred(n12)))
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5816,f177]) ).
fof(f177,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5816,plain,
( sum(pred(sum(n1,n12)),sum(n11,pred(sum(n1,n11)))) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(backward_demodulation,[],[f5622,f851]) ).
fof(f5795,plain,
( ~ spl3_15
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f5794]) ).
fof(f5794,plain,
( $false
| ~ spl3_15
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f5793,f637]) ).
fof(f5793,plain,
( n7 = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5792,f105]) ).
fof(f105,plain,
n7 = sum(n9,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f5792,plain,
( sum(n9,n19) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5791,f231]) ).
fof(f5791,plain,
( sum(pred(n10),n19) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5790,f493]) ).
fof(f5790,plain,
( sK0 = sum(pred(sum(n19,n12)),n19)
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5789,f639]) ).
fof(f5789,plain,
( sK0 = sum(pred(sum(n19,n12)),sum(n11,n8))
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5788,f540]) ).
fof(f5788,plain,
( sum(pred(sum(n19,n12)),sum(n11,pred(n9))) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5787,f291]) ).
fof(f291,plain,
n9 = sum(n19,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5787,plain,
( sum(pred(sum(n19,n12)),sum(n11,pred(sum(n19,n11)))) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5622,f835]) ).
fof(f5785,plain,
( ~ spl3_15
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f5784]) ).
fof(f5784,plain,
( $false
| ~ spl3_15
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f5783,f128]) ).
fof(f5783,plain,
( n15 = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5782,f475]) ).
fof(f5782,plain,
( sum(n13,n2) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5781,f278]) ).
fof(f5781,plain,
( sum(pred(n14),n2) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5780,f440]) ).
fof(f5780,plain,
( sum(pred(sum(n2,n12)),n2) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5779,f380]) ).
fof(f380,plain,
n2 = sum(n11,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f5779,plain,
( sum(pred(sum(n2,n12)),sum(n11,n12)) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5778,f378]) ).
fof(f5778,plain,
( sum(pred(sum(n2,n12)),sum(n11,pred(n13))) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5777,f223]) ).
fof(f223,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5777,plain,
( sK0 = sum(pred(sum(n2,n12)),sum(n11,pred(sum(n2,n11))))
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5622,f823]) ).
fof(f5754,plain,
( ~ spl3_15
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f5753]) ).
fof(f5753,plain,
( $false
| ~ spl3_15
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f5752,f140]) ).
fof(f5752,plain,
( n14 = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5751,f440]) ).
fof(f5751,plain,
( sum(n2,n12) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5750,f480]) ).
fof(f5750,plain,
( sum(pred(n3),n12) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5749,f672]) ).
fof(f5749,plain,
( sum(pred(sum(n12,n12)),n12) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5748,f247]) ).
fof(f5748,plain,
( sK0 = sum(pred(sum(n12,n12)),sum(n11,n1))
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5747,f680]) ).
fof(f5747,plain,
( sum(pred(sum(n12,n12)),sum(n11,pred(n2))) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5746,f554]) ).
fof(f5746,plain,
( sum(pred(sum(n12,n12)),sum(n11,pred(sum(n12,n11)))) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5622,f815]) ).
fof(f5738,plain,
( ~ spl3_15
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f5737]) ).
fof(f5737,plain,
( $false
| ~ spl3_15
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f5736,f663]) ).
fof(f5736,plain,
( n20 = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5735,f593]) ).
fof(f5735,plain,
( sum(n5,n15) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5734,f581]) ).
fof(f5734,plain,
( sum(pred(n6),n15) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5733,f675]) ).
fof(f5733,plain,
( sum(pred(sum(n15,n12)),n15) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5732,f603]) ).
fof(f603,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5732,plain,
( sK0 = sum(pred(sum(n15,n12)),sum(n11,n4))
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5731,f708]) ).
fof(f5731,plain,
( sum(pred(sum(n15,n12)),sum(n11,pred(n5))) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5730,f258]) ).
fof(f5730,plain,
( sum(pred(sum(n15,n12)),sum(n11,pred(sum(n15,n11)))) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(backward_demodulation,[],[f5622,f831]) ).
fof(f5721,plain,
( ~ spl3_15
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f5720]) ).
fof(f5720,plain,
( $false
| ~ spl3_15
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f5719,f393]) ).
fof(f5719,plain,
( n0 = sK0
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5718,f308]) ).
fof(f308,plain,
n0 = sum(n16,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f5718,plain,
( sum(n16,n5) = sK0
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5717,f661]) ).
fof(f5717,plain,
( sum(pred(n17),n5) = sK0
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5716,f687]) ).
fof(f5716,plain,
( sum(pred(sum(n5,n12)),n5) = sK0
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5715,f628]) ).
fof(f5715,plain,
( sum(pred(sum(n5,n12)),sum(n11,n15)) = sK0
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5714,f387]) ).
fof(f5714,plain,
( sum(pred(sum(n5,n12)),sum(n11,pred(n16))) = sK0
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5713,f9]) ).
fof(f5713,plain,
( sK0 = sum(pred(sum(n5,n12)),sum(n11,pred(sum(n5,n11))))
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5622,f883]) ).
fof(f5698,plain,
( ~ spl3_15
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f5697]) ).
fof(f5697,plain,
( $false
| ~ spl3_15
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f5696,f453]) ).
fof(f5696,plain,
( n4 = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5695,f488]) ).
fof(f5695,plain,
( sum(n18,n7) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5694,f576]) ).
fof(f5694,plain,
( sK0 = sum(pred(n19),n7)
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5693,f338]) ).
fof(f5693,plain,
( sK0 = sum(pred(sum(n7,n12)),n7)
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5692,f261]) ).
fof(f5692,plain,
( sum(pred(sum(n7,n12)),sum(n11,n17)) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5691,f622]) ).
fof(f5691,plain,
( sum(pred(sum(n7,n12)),sum(n11,pred(n18))) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5690,f651]) ).
fof(f5690,plain,
( sK0 = sum(pred(sum(n7,n12)),sum(n11,pred(sum(n7,n11))))
| ~ spl3_15
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5622,f819]) ).
fof(f5682,plain,
( ~ spl3_15
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f5681]) ).
fof(f5681,plain,
( $false
| ~ spl3_15
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f5680,f118]) ).
fof(f5680,plain,
( n16 = sK0
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5679,f167]) ).
fof(f5679,plain,
( sum(n3,n13) = sK0
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5678,f165]) ).
fof(f5678,plain,
( sum(pred(n4),n13) = sK0
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5677,f302]) ).
fof(f5677,plain,
( sum(pred(sum(n13,n12)),n13) = sK0
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5676,f10]) ).
fof(f10,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5676,plain,
( sum(pred(sum(n13,n12)),sum(n11,n2)) = sK0
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5675,f480]) ).
fof(f5675,plain,
( sK0 = sum(pred(sum(n13,n12)),sum(n11,pred(n3)))
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5674,f332]) ).
fof(f332,plain,
n3 = sum(n13,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5674,plain,
( sum(pred(sum(n13,n12)),sum(n11,pred(sum(n13,n11)))) = sK0
| ~ spl3_15
| ~ spl3_38 ),
inference(backward_demodulation,[],[f5622,f875]) ).
fof(f5656,plain,
( ~ spl3_15
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f5655]) ).
fof(f5655,plain,
( $false
| ~ spl3_15
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f5654,f432]) ).
fof(f5654,plain,
( n6 = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5653,f115]) ).
fof(f5653,plain,
( sum(n19,n8) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5652,f148]) ).
fof(f5652,plain,
( sK0 = sum(pred(n20),n8)
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5651,f174]) ).
fof(f5651,plain,
( sum(pred(sum(n8,n12)),n8) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5650,f87]) ).
fof(f5650,plain,
( sum(pred(sum(n8,n12)),sum(n11,n18)) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5649,f576]) ).
fof(f5649,plain,
( sK0 = sum(pred(sum(n8,n12)),sum(n11,pred(n19)))
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5648,f353]) ).
fof(f5648,plain,
( sK0 = sum(pred(sum(n8,n12)),sum(n11,pred(sum(n8,n11))))
| ~ spl3_15
| ~ spl3_29 ),
inference(backward_demodulation,[],[f5622,f839]) ).
fof(f5645,plain,
( ~ spl3_15
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f5644]) ).
fof(f5644,plain,
( $false
| ~ spl3_15
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f5643,f509]) ).
fof(f5643,plain,
( n2 = sK0
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5642,f299]) ).
fof(f299,plain,
n2 = sum(n17,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5642,plain,
( sum(n17,n6) = sK0
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5641,f622]) ).
fof(f5641,plain,
( sK0 = sum(pred(n18),n6)
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5640,f79]) ).
fof(f5640,plain,
( sum(pred(sum(n6,n12)),n6) = sK0
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5639,f190]) ).
fof(f5639,plain,
( sum(pred(sum(n6,n12)),sum(n11,n16)) = sK0
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5638,f661]) ).
fof(f5638,plain,
( sum(pred(sum(n6,n12)),sum(n11,pred(n17))) = sK0
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5637,f37]) ).
fof(f5637,plain,
( sum(pred(sum(n6,n12)),sum(n11,pred(sum(n6,n11)))) = sK0
| ~ spl3_15
| ~ spl3_36 ),
inference(backward_demodulation,[],[f5622,f867]) ).
fof(f5621,plain,
( ~ spl3_15
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f5620]) ).
fof(f5620,plain,
( $false
| ~ spl3_15
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f5619,f123]) ).
fof(f5619,plain,
( n9 = sK0
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5618,f460]) ).
fof(f460,plain,
n9 = sum(n10,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f5618,plain,
( sum(n10,n20) = sK0
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5617,f45]) ).
fof(f5617,plain,
( sum(pred(n11),n20) = sK0
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5616,f99]) ).
fof(f5616,plain,
( sum(pred(sum(n20,n12)),n20) = sK0
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5615,f55]) ).
fof(f5615,plain,
( sum(pred(sum(n20,succ(n11))),n20) = sK0
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5614,f383]) ).
fof(f5614,plain,
( sum(pred(sum(n20,succ(n11))),sum(n11,n9)) = sK0
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5613,f231]) ).
fof(f5613,plain,
( sum(pred(sum(n20,succ(n11))),sum(n11,pred(n10))) = sK0
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5612,f242]) ).
fof(f5612,plain,
( sK0 = sum(pred(sum(n20,succ(n11))),sum(n11,pred(sum(n20,n11))))
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5601,f859]) ).
fof(f5611,plain,
( ~ spl3_15
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f5610]) ).
fof(f5610,plain,
( $false
| ~ spl3_15
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f5609,f111]) ).
fof(f5609,plain,
( n5 = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5608,f255]) ).
fof(f5608,plain,
( sum(n8,n18) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5607,f540]) ).
fof(f5607,plain,
( sum(pred(n9),n18) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5606,f107]) ).
fof(f5606,plain,
( sum(pred(sum(n18,n12)),n18) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5605,f55]) ).
fof(f5605,plain,
( sK0 = sum(pred(sum(n18,succ(n11))),n18)
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5604,f587]) ).
fof(f587,plain,
n18 = sum(n11,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5604,plain,
( sK0 = sum(pred(sum(n18,succ(n11))),sum(n11,n7))
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5603,f245]) ).
fof(f5603,plain,
( sK0 = sum(pred(sum(n18,succ(n11))),sum(n11,pred(n8)))
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5602,f544]) ).
fof(f5602,plain,
( sK0 = sum(pred(sum(n18,succ(n11))),sum(n11,pred(sum(n18,n11))))
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5601,f843]) ).
fof(f5587,plain,
( ~ spl3_3
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5586]) ).
fof(f5586,plain,
( $false
| ~ spl3_3
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5585,f663]) ).
fof(f5585,plain,
( n20 = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5584,f549]) ).
fof(f5584,plain,
( sum(n3,n17) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5583,f165]) ).
fof(f5583,plain,
( sum(pred(n4),n17) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5582,f478]) ).
fof(f5582,plain,
( sum(pred(sum(n9,n16)),n17) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5581,f109]) ).
fof(f5581,plain,
( sK0 = sum(pred(sum(n9,succ(n15))),n17)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5580,f106]) ).
fof(f5580,plain,
( sum(pred(sum(n9,succ(n15))),sum(n15,n2)) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5579,f480]) ).
fof(f5579,plain,
( sK0 = sum(pred(sum(n9,succ(n15))),sum(n15,pred(n3)))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5578,f617]) ).
fof(f5578,plain,
( sum(pred(sum(n9,succ(n15))),sum(n15,pred(sum(n9,n15)))) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5317,f734]) ).
fof(f5317,plain,
( sum(pred(sum(n9,succ(sK2))),sum(sK2,pred(sum(n9,sK2)))) = sK0
| ~ spl3_22 ),
inference(forward_demodulation,[],[f244,f811]) ).
fof(f811,plain,
( n9 = sK1
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl3_22
<=> n9 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f5575,plain,
( ~ spl3_13
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5574]) ).
fof(f5574,plain,
( $false
| ~ spl3_13
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5573,f307]) ).
fof(f5573,plain,
( n17 = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5572,f452]) ).
fof(f452,plain,
n17 = sum(n16,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5572,plain,
( sum(n16,n1) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5571,f661]) ).
fof(f5571,plain,
( sK0 = sum(pred(n17),n1)
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5570,f716]) ).
fof(f716,plain,
n17 = sum(n9,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5570,plain,
( sK0 = sum(pred(sum(n9,n8)),n1)
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5569,f413]) ).
fof(f5569,plain,
( sK0 = sum(pred(sum(n9,succ(n7))),n1)
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5568,f330]) ).
fof(f5568,plain,
( sK0 = sum(pred(sum(n9,succ(n7))),sum(n7,n15))
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5567,f387]) ).
fof(f5567,plain,
( sum(pred(sum(n9,succ(n7))),sum(n7,pred(n16))) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5566,f343]) ).
fof(f5566,plain,
( sum(pred(sum(n9,succ(n7))),sum(n7,pred(sum(n9,n7)))) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5317,f774]) ).
fof(f5552,plain,
( ~ spl3_4
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5551]) ).
fof(f5551,plain,
( $false
| ~ spl3_4
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5550,f111]) ).
fof(f5550,plain,
( n5 = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5549,f579]) ).
fof(f5549,plain,
( sum(n5,n0) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5548,f581]) ).
fof(f5548,plain,
( sK0 = sum(pred(n6),n0)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5547,f567]) ).
fof(f567,plain,
n6 = sum(n9,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f5547,plain,
( sum(pred(sum(n9,n18)),n0) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5546,f363]) ).
fof(f5546,plain,
( sum(pred(sum(n9,succ(n17))),n0) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5545,f74]) ).
fof(f5545,plain,
( sum(pred(sum(n9,succ(n17))),sum(n17,n4)) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5544,f708]) ).
fof(f5544,plain,
( sK0 = sum(pred(sum(n9,succ(n17))),sum(n17,pred(n5)))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5543,f344]) ).
fof(f344,plain,
n5 = sum(n9,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f5543,plain,
( sK0 = sum(pred(sum(n9,succ(n17))),sum(n17,pred(sum(n9,n17))))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5317,f738]) ).
fof(f5538,plain,
( ~ spl3_10
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5537]) ).
fof(f5537,plain,
( $false
| ~ spl3_10
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5536,f509]) ).
fof(f5536,plain,
( n2 = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5535,f71]) ).
fof(f5535,plain,
( sum(n18,n5) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5534,f576]) ).
fof(f5534,plain,
( sum(pred(n19),n5) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5533,f354]) ).
fof(f5533,plain,
( sK0 = sum(pred(sum(n9,n10)),n5)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5532,f389]) ).
fof(f5532,plain,
( sum(pred(sum(n9,succ(n9))),n5) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5531,f344]) ).
fof(f5531,plain,
( sK0 = sum(pred(sum(n9,succ(n9))),sum(n9,n17))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5530,f622]) ).
fof(f5530,plain,
( sum(pred(sum(n9,succ(n9))),sum(n9,pred(n18))) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5529,f553]) ).
fof(f5529,plain,
( sum(pred(sum(n9,succ(n9))),sum(n9,pred(sum(n9,n9)))) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(backward_demodulation,[],[f5317,f762]) ).
fof(f5518,plain,
( ~ spl3_7
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5517]) ).
fof(f5517,plain,
( $false
| ~ spl3_7
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5516,f140]) ).
fof(f5516,plain,
( n14 = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5515,f340]) ).
fof(f5515,plain,
( sum(n8,n6) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5514,f540]) ).
fof(f5514,plain,
( sum(pred(n9),n6) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5513,f47]) ).
fof(f5513,plain,
( sK0 = sum(pred(sum(n9,n0)),n6)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5512,f370]) ).
fof(f5512,plain,
( sK0 = sum(pred(sum(n9,succ(n20))),n6)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5511,f548]) ).
fof(f5511,plain,
( sum(pred(sum(n9,succ(n20))),sum(n20,n7)) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5510,f245]) ).
fof(f5510,plain,
( sK0 = sum(pred(sum(n9,succ(n20))),sum(n20,pred(n8)))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5509,f213]) ).
fof(f5509,plain,
( sK0 = sum(pred(sum(n9,succ(n20))),sum(n20,pred(sum(n9,n20))))
| ~ spl3_7
| ~ spl3_22 ),
inference(backward_demodulation,[],[f5317,f750]) ).
fof(f5507,plain,
( ~ spl3_9
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5506]) ).
fof(f5506,plain,
( $false
| ~ spl3_9
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5505,f663]) ).
fof(f5505,plain,
( n20 = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5504,f472]) ).
fof(f472,plain,
n20 = sum(n10,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5504,plain,
( sum(n10,n10) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5503,f45]) ).
fof(f5503,plain,
( sum(pred(n11),n10) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5502,f636]) ).
fof(f5502,plain,
( sum(pred(sum(n9,n2)),n10) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5501,f20]) ).
fof(f5501,plain,
( sK0 = sum(pred(sum(n9,succ(n1))),n10)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5500,f572]) ).
fof(f5500,plain,
( sum(pred(sum(n9,succ(n1))),sum(n1,n9)) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5499,f231]) ).
fof(f5499,plain,
( sK0 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(n10)))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5498,f670]) ).
fof(f670,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5498,plain,
( sK0 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(sum(n9,n1))))
| ~ spl3_9
| ~ spl3_22 ),
inference(backward_demodulation,[],[f5317,f758]) ).
fof(f5478,plain,
( ~ spl3_14
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5477]) ).
fof(f5477,plain,
( $false
| ~ spl3_14
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5476,f12]) ).
fof(f5476,plain,
( n11 = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5475,f599]) ).
fof(f5475,plain,
( sum(n0,n11) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5474,f96]) ).
fof(f5474,plain,
( sK0 = sum(pred(n1),n11)
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5473,f138]) ).
fof(f5473,plain,
( sum(pred(sum(n9,n13)),n11) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5472,f322]) ).
fof(f5472,plain,
( sum(pred(sum(n9,succ(n12))),n11) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5471,f710]) ).
fof(f5471,plain,
( sK0 = sum(pred(sum(n9,succ(n12))),sum(n12,n20))
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5470,f342]) ).
fof(f5470,plain,
( sK0 = sum(pred(sum(n9,succ(n12))),sum(n12,pred(n0)))
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5469,f399]) ).
fof(f5469,plain,
( sum(pred(sum(n9,succ(n12))),sum(n12,pred(sum(n9,n12)))) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5317,f778]) ).
fof(f5461,plain,
( ~ spl3_6
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5460]) ).
fof(f5460,plain,
( $false
| ~ spl3_6
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5459,f307]) ).
fof(f5459,plain,
( n17 = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5458,f716]) ).
fof(f5458,plain,
( sum(n9,n8) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5457,f231]) ).
fof(f5457,plain,
( sum(pred(n10),n8) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5456,f670]) ).
fof(f5456,plain,
( sum(pred(sum(n9,n1)),n8) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5455,f543]) ).
fof(f5455,plain,
( sum(pred(sum(n9,succ(n0))),n8) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5454,f626]) ).
fof(f5454,plain,
( sK0 = sum(pred(sum(n9,succ(n0))),sum(n0,n8))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5453,f540]) ).
fof(f5453,plain,
( sum(pred(sum(n9,succ(n0))),sum(n0,pred(n9))) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5452,f47]) ).
fof(f5452,plain,
( sK0 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(sum(n9,n0))))
| ~ spl3_6
| ~ spl3_22 ),
inference(backward_demodulation,[],[f5317,f746]) ).
fof(f5431,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5430]) ).
fof(f5430,plain,
( $false
| ~ spl3_1
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5429,f306]) ).
fof(f5429,plain,
( n8 = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5428,f382]) ).
fof(f5428,plain,
( sum(n6,n2) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5427,f423]) ).
fof(f5427,plain,
( sum(pred(n7),n2) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5426,f105]) ).
fof(f5426,plain,
( sK0 = sum(pred(sum(n9,n19)),n2)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5425,f569]) ).
fof(f5425,plain,
( sum(pred(sum(n9,succ(n18))),n2) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5424,f71]) ).
fof(f5424,plain,
( sum(pred(sum(n9,succ(n18))),sum(n18,n5)) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5423,f581]) ).
fof(f5423,plain,
( sum(pred(sum(n9,succ(n18))),sum(n18,pred(n6))) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5422,f567]) ).
fof(f5422,plain,
( sK0 = sum(pred(sum(n9,succ(n18))),sum(n18,pred(sum(n9,n18))))
| ~ spl3_1
| ~ spl3_22 ),
inference(backward_demodulation,[],[f5317,f726]) ).
fof(f5416,plain,
( ~ spl3_8
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5415]) ).
fof(f5415,plain,
( $false
| ~ spl3_8
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5414,f663]) ).
fof(f5414,plain,
( n20 = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5413,f506]) ).
fof(f5413,plain,
( sum(n17,n3) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5412,f622]) ).
fof(f5412,plain,
( sum(pred(n18),n3) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5411,f553]) ).
fof(f5411,plain,
( sum(pred(sum(n9,n9)),n3) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5410,f505]) ).
fof(f5410,plain,
( sum(pred(sum(n9,succ(n8))),n3) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5409,f171]) ).
fof(f5409,plain,
( sK0 = sum(pred(sum(n9,succ(n8))),sum(n8,n16))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5408,f661]) ).
fof(f5408,plain,
( sum(pred(sum(n9,succ(n8))),sum(n8,pred(n17))) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5407,f716]) ).
fof(f5407,plain,
( sum(pred(sum(n9,succ(n8))),sum(n8,pred(sum(n9,n8)))) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(backward_demodulation,[],[f5317,f754]) ).
fof(f5392,plain,
( ~ spl3_5
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5391]) ).
fof(f5391,plain,
( $false
| ~ spl3_5
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5390,f140]) ).
fof(f5390,plain,
( n14 = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5389,f692]) ).
fof(f5389,plain,
( sum(n15,n20) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5388,f387]) ).
fof(f5388,plain,
( sum(pred(n16),n20) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5387,f343]) ).
fof(f5387,plain,
( sum(pred(sum(n9,n7)),n20) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5386,f137]) ).
fof(f5386,plain,
( sK0 = sum(pred(sum(n9,succ(n6))),n20)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5385,f16]) ).
fof(f5385,plain,
( sum(pred(sum(n9,succ(n6))),sum(n6,n14)) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5384,f164]) ).
fof(f5384,plain,
( sK0 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(n15)))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5383,f189]) ).
fof(f5383,plain,
( sK0 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(sum(n9,n6))))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5317,f742]) ).
fof(f5370,plain,
( ~ spl3_15
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5369]) ).
fof(f5369,plain,
( $false
| ~ spl3_15
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5368,f306]) ).
fof(f5368,plain,
( n8 = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5367,f512]) ).
fof(f5367,plain,
( sum(n20,n9) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5366,f342]) ).
fof(f5366,plain,
( sK0 = sum(pred(n0),n9)
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5365,f399]) ).
fof(f5365,plain,
( sK0 = sum(pred(sum(n9,n12)),n9)
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5364,f55]) ).
fof(f5364,plain,
( sum(pred(sum(n9,succ(n11))),n9) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5363,f615]) ).
fof(f5363,plain,
( sum(pred(sum(n9,succ(n11))),sum(n11,n19)) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5362,f148]) ).
fof(f5362,plain,
( sum(pred(sum(n9,succ(n11))),sum(n11,pred(n20))) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5361,f519]) ).
fof(f5361,plain,
( sum(pred(sum(n9,succ(n11))),sum(n11,pred(sum(n9,n11)))) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5317,f782]) ).
fof(f5354,plain,
( ~ spl3_11
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5353]) ).
fof(f5353,plain,
( $false
| ~ spl3_11
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5352,f12]) ).
fof(f5352,plain,
( n11 = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5351,f428]) ).
fof(f428,plain,
n11 = sum(n14,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f5351,plain,
( sum(n14,n18) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5350,f164]) ).
fof(f5350,plain,
( sK0 = sum(pred(n15),n18)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5349,f189]) ).
fof(f5349,plain,
( sum(pred(sum(n9,n6)),n18) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5348,f420]) ).
fof(f5348,plain,
( sum(pred(sum(n9,succ(n5))),n18) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5347,f659]) ).
fof(f5347,plain,
( sK0 = sum(pred(sum(n9,succ(n5))),sum(n5,n13))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5346,f278]) ).
fof(f5346,plain,
( sK0 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(n14)))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5345,f417]) ).
fof(f5345,plain,
( sum(pred(sum(n9,succ(n5))),sum(n5,pred(sum(n9,n5)))) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(backward_demodulation,[],[f5317,f766]) ).
fof(f5329,plain,
( ~ spl3_12
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5328]) ).
fof(f5328,plain,
( $false
| ~ spl3_12
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5327,f12]) ).
fof(f5327,plain,
( n11 = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5326,f465]) ).
fof(f5326,plain,
( sum(n7,n4) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5325,f245]) ).
fof(f5325,plain,
( sum(pred(n8),n4) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5324,f213]) ).
fof(f5324,plain,
( sK0 = sum(pred(sum(n9,n20)),n4)
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5323,f249]) ).
fof(f5323,plain,
( sum(pred(sum(n9,succ(n19))),n4) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5322,f490]) ).
fof(f5322,plain,
( sum(pred(sum(n9,succ(n19))),sum(n19,n6)) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5321,f423]) ).
fof(f5321,plain,
( sum(pred(sum(n9,succ(n19))),sum(n19,pred(n7))) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5320,f105]) ).
fof(f5320,plain,
( sK0 = sum(pred(sum(n9,succ(n19))),sum(n19,pred(sum(n9,n19))))
| ~ spl3_12
| ~ spl3_22 ),
inference(backward_demodulation,[],[f5317,f770]) ).
fof(f5302,plain,
( ~ spl3_21
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f5301]) ).
fof(f5301,plain,
( $false
| ~ spl3_21
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f5300,f432]) ).
fof(f5300,plain,
( n6 = sK0
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5299,f22]) ).
fof(f5299,plain,
( sum(n18,n9) = sK0
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5298,f576]) ).
fof(f5298,plain,
( sum(pred(n19),n9) = sK0
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5297,f364]) ).
fof(f364,plain,
n19 = sum(n5,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5297,plain,
( sK0 = sum(pred(sum(n5,n14)),n9)
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5296,f350]) ).
fof(f5296,plain,
( sum(pred(sum(n5,n14)),sum(n13,n17)) = sK0
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5295,f622]) ).
fof(f5295,plain,
( sum(pred(sum(n5,n14)),sum(n13,pred(n18))) = sK0
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5294,f659]) ).
fof(f5294,plain,
( sum(pred(sum(n5,n14)),sum(n13,pred(sum(n5,n13)))) = sK0
| ~ spl3_21
| ~ spl3_40 ),
inference(backward_demodulation,[],[f5014,f883]) ).
fof(f5014,plain,
( sum(pred(sum(sK1,n14)),sum(n13,pred(sum(sK1,n13)))) = sK0
| ~ spl3_21 ),
inference(forward_demodulation,[],[f5013,f697]) ).
fof(f697,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f5]) ).
fof(f5013,plain,
( sK0 = sum(pred(sum(sK1,succ(n13))),sum(n13,pred(sum(sK1,n13))))
| ~ spl3_21 ),
inference(forward_demodulation,[],[f244,f806]) ).
fof(f806,plain,
( n13 = sK2
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f804,plain,
( spl3_21
<=> n13 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f5273,plain,
( ~ spl3_21
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f5272]) ).
fof(f5272,plain,
( $false
| ~ spl3_21
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f5271,f277]) ).
fof(f5271,plain,
( n19 = sK0
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5270,f283]) ).
fof(f283,plain,
n19 = sum(n14,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f5270,plain,
( sum(n14,n5) = sK0
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5269,f164]) ).
fof(f5269,plain,
( sK0 = sum(pred(n15),n5)
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5268,f78]) ).
fof(f78,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5268,plain,
( sK0 = sum(pred(sum(n1,n14)),n5)
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5267,f62]) ).
fof(f5267,plain,
( sum(pred(sum(n1,n14)),sum(n13,n13)) = sK0
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5266,f278]) ).
fof(f5266,plain,
( sum(pred(sum(n1,n14)),sum(n13,pred(n14))) = sK0
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5265,f598]) ).
fof(f5265,plain,
( sum(pred(sum(n1,n14)),sum(n13,pred(sum(n1,n13)))) = sK0
| ~ spl3_21
| ~ spl3_32 ),
inference(backward_demodulation,[],[f5014,f851]) ).
fof(f5254,plain,
( ~ spl3_21
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f5253]) ).
fof(f5253,plain,
( $false
| ~ spl3_21
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f5252,f393]) ).
fof(f5252,plain,
( n0 = sK0
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5251,f335]) ).
fof(f5251,plain,
( sum(n15,n6) = sK0
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5250,f387]) ).
fof(f5250,plain,
( sum(pred(n16),n6) = sK0
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5249,f356]) ).
fof(f356,plain,
n16 = sum(n2,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5249,plain,
( sum(pred(sum(n2,n14)),n6) = sK0
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5248,f184]) ).
fof(f184,plain,
n6 = sum(n13,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5248,plain,
( sum(pred(sum(n2,n14)),sum(n13,n14)) = sK0
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5247,f164]) ).
fof(f5247,plain,
( sum(pred(sum(n2,n14)),sum(n13,pred(n15))) = sK0
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5246,f463]) ).
fof(f5246,plain,
( sum(pred(sum(n2,n14)),sum(n13,pred(sum(n2,n13)))) = sK0
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5014,f823]) ).
fof(f5226,plain,
( ~ spl3_21
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f5225]) ).
fof(f5225,plain,
( $false
| ~ spl3_21
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f5224,f43]) ).
fof(f5224,plain,
( n13 = sK0
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5223,f10]) ).
fof(f5223,plain,
( sum(n11,n2) = sK0
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5222,f461]) ).
fof(f5222,plain,
( sK0 = sum(pred(n12),n2)
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5221,f273]) ).
fof(f5221,plain,
( sum(pred(sum(n19,n14)),n2) = sK0
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5220,f357]) ).
fof(f5220,plain,
( sum(pred(sum(n19,n14)),sum(n13,n10)) = sK0
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5219,f45]) ).
fof(f5219,plain,
( sK0 = sum(pred(sum(n19,n14)),sum(n13,pred(n11)))
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5218,f35]) ).
fof(f5218,plain,
( sum(pred(sum(n19,n14)),sum(n13,pred(sum(n19,n13)))) = sK0
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5014,f835]) ).
fof(f5216,plain,
( ~ spl3_21
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f5215]) ).
fof(f5215,plain,
( $false
| ~ spl3_21
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f5214,f111]) ).
fof(f5214,plain,
( n5 = sK0
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5213,f89]) ).
fof(f5213,plain,
( sum(n7,n19) = sK0
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5212,f245]) ).
fof(f5212,plain,
( sK0 = sum(pred(n8),n19)
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5211,f136]) ).
fof(f5211,plain,
( sum(pred(sum(n15,n14)),n19) = sK0
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5210,f439]) ).
fof(f5210,plain,
( sum(pred(sum(n15,n14)),sum(n13,n6)) = sK0
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5209,f423]) ).
fof(f5209,plain,
( sK0 = sum(pred(sum(n15,n14)),sum(n13,pred(n7)))
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5208,f206]) ).
fof(f5208,plain,
( sum(pred(sum(n15,n14)),sum(n13,pred(sum(n15,n13)))) = sK0
| ~ spl3_21
| ~ spl3_27 ),
inference(backward_demodulation,[],[f5014,f831]) ).
fof(f5203,plain,
( ~ spl3_21
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f5202]) ).
fof(f5202,plain,
( $false
| ~ spl3_21
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f5201,f306]) ).
fof(f5201,plain,
( n8 = sK0
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5200,f664]) ).
fof(f5200,plain,
( sum(n19,n10) = sK0
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5199,f148]) ).
fof(f5199,plain,
( sum(pred(n20),n10) = sK0
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5198,f16]) ).
fof(f5198,plain,
( sK0 = sum(pred(sum(n6,n14)),n10)
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5197,f240]) ).
fof(f5197,plain,
( sum(pred(sum(n6,n14)),sum(n13,n18)) = sK0
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5196,f576]) ).
fof(f5196,plain,
( sum(pred(sum(n6,n14)),sum(n13,pred(n19))) = sK0
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5195,f226]) ).
fof(f5195,plain,
( sum(pred(sum(n6,n14)),sum(n13,pred(sum(n6,n13)))) = sK0
| ~ spl3_21
| ~ spl3_36 ),
inference(backward_demodulation,[],[f5014,f867]) ).
fof(f5180,plain,
( ~ spl3_21
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f5179]) ).
fof(f5179,plain,
( $false
| ~ spl3_21
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f5178,f128]) ).
fof(f5178,plain,
( n15 = sK0
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5177,f232]) ).
fof(f5177,plain,
( sum(n12,n3) = sK0
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5176,f378]) ).
fof(f5176,plain,
( sum(pred(n13),n3) = sK0
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5175,f448]) ).
fof(f448,plain,
n13 = sum(n20,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5175,plain,
( sum(pred(sum(n20,n14)),n3) = sK0
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5174,f332]) ).
fof(f5174,plain,
( sum(pred(sum(n20,n14)),sum(n13,n11)) = sK0
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5173,f461]) ).
fof(f5173,plain,
( sK0 = sum(pred(sum(n20,n14)),sum(n13,pred(n12)))
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5172,f48]) ).
fof(f5172,plain,
( sum(pred(sum(n20,n14)),sum(n13,pred(sum(n20,n13)))) = sK0
| ~ spl3_21
| ~ spl3_34 ),
inference(backward_demodulation,[],[f5014,f859]) ).
fof(f5166,plain,
( ~ spl3_21
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f5165]) ).
fof(f5165,plain,
( $false
| ~ spl3_21
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f5164,f102]) ).
fof(f5164,plain,
( n10 = sK0
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5163,f242]) ).
fof(f5163,plain,
( sum(n20,n11) = sK0
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5162,f342]) ).
fof(f5162,plain,
( sum(pred(n0),n11) = sK0
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5161,f660]) ).
fof(f5161,plain,
( sum(pred(sum(n7,n14)),n11) = sK0
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5160,f290]) ).
fof(f5160,plain,
( sK0 = sum(pred(sum(n7,n14)),sum(n13,n19))
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5159,f148]) ).
fof(f5159,plain,
( sum(pred(sum(n7,n14)),sum(n13,pred(n20))) = sK0
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5158,f254]) ).
fof(f5158,plain,
( sum(pred(sum(n7,n14)),sum(n13,pred(sum(n7,n13)))) = sK0
| ~ spl3_21
| ~ spl3_24 ),
inference(backward_demodulation,[],[f5014,f819]) ).
fof(f5149,plain,
( ~ spl3_21
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f5148]) ).
fof(f5148,plain,
( $false
| ~ spl3_21
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f5147,f663]) ).
fof(f5147,plain,
( n20 = sK0
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5146,f535]) ).
fof(f5146,plain,
( sum(n4,n16) = sK0
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5145,f708]) ).
fof(f5145,plain,
( sK0 = sum(pred(n5),n16)
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5144,f81]) ).
fof(f5144,plain,
( sum(pred(sum(n12,n14)),n16) = sK0
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5143,f314]) ).
fof(f5143,plain,
( sum(pred(sum(n12,n14)),sum(n13,n3)) = sK0
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5142,f165]) ).
fof(f5142,plain,
( sum(pred(sum(n12,n14)),sum(n13,pred(n4))) = sK0
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5141,f431]) ).
fof(f5141,plain,
( sum(pred(sum(n12,n14)),sum(n13,pred(sum(n12,n13)))) = sK0
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5014,f815]) ).
fof(f5126,plain,
( ~ spl3_21
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f5125]) ).
fof(f5125,plain,
( $false
| ~ spl3_21
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f5124,f509]) ).
fof(f5124,plain,
( n2 = sK0
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5123,f666]) ).
fof(f666,plain,
n2 = sum(n16,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5123,plain,
( sum(n16,n7) = sK0
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5122,f661]) ).
fof(f5122,plain,
( sum(pred(n17),n7) = sK0
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5121,f269]) ).
fof(f5121,plain,
( sum(pred(sum(n3,n14)),n7) = sK0
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5120,f186]) ).
fof(f5120,plain,
( sum(pred(sum(n3,n14)),sum(n13,n15)) = sK0
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5119,f387]) ).
fof(f5119,plain,
( sum(pred(sum(n3,n14)),sum(n13,pred(n16))) = sK0
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f5118,f167]) ).
fof(f5118,plain,
( sum(pred(sum(n3,n14)),sum(n13,pred(sum(n3,n13)))) = sK0
| ~ spl3_21
| ~ spl3_42 ),
inference(backward_demodulation,[],[f5014,f891]) ).
fof(f5104,plain,
( ~ spl3_21
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f5103]) ).
fof(f5103,plain,
( $false
| ~ spl3_21
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f5102,f44]) ).
fof(f5102,plain,
( n12 = sK0
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5101,f130]) ).
fof(f5101,plain,
( sum(n0,n12) = sK0
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5100,f96]) ).
fof(f5100,plain,
( sK0 = sum(pred(n1),n12)
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5099,f632]) ).
fof(f5099,plain,
( sum(pred(sum(n8,n14)),n12) = sK0
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5098,f497]) ).
fof(f5098,plain,
( sK0 = sum(pred(sum(n8,n14)),sum(n13,n20))
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5097,f342]) ).
fof(f5097,plain,
( sum(pred(sum(n8,n14)),sum(n13,pred(n0))) = sK0
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5096,f331]) ).
fof(f5096,plain,
( sK0 = sum(pred(sum(n8,n14)),sum(n13,pred(sum(n8,n13))))
| ~ spl3_21
| ~ spl3_29 ),
inference(backward_demodulation,[],[f5014,f839]) ).
fof(f5084,plain,
( ~ spl3_21
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5083]) ).
fof(f5083,plain,
( $false
| ~ spl3_21
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5082,f140]) ).
fof(f5082,plain,
( n14 = sK0
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5081,f598]) ).
fof(f5081,plain,
( sum(n1,n13) = sK0
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5080,f680]) ).
fof(f5080,plain,
( sK0 = sum(pred(n2),n13)
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5079,f538]) ).
fof(f5079,plain,
( sK0 = sum(pred(sum(n9,n14)),n13)
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5078,f390]) ).
fof(f5078,plain,
( sum(pred(sum(n9,n14)),sum(n13,n0)) = sK0
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5077,f96]) ).
fof(f5077,plain,
( sK0 = sum(pred(sum(n9,n14)),sum(n13,pred(n1)))
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5076,f138]) ).
fof(f5076,plain,
( sum(pred(sum(n9,n14)),sum(n13,pred(sum(n9,n13)))) = sK0
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5014,f811]) ).
fof(f5065,plain,
( ~ spl3_21
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f5064]) ).
fof(f5064,plain,
( $false
| ~ spl3_21
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f5063,f60]) ).
fof(f5063,plain,
( n1 = sK0
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5062,f522]) ).
fof(f5062,plain,
( sum(n5,n17) = sK0
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5061,f581]) ).
fof(f5061,plain,
( sum(pred(n6),n17) = sK0
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5060,f184]) ).
fof(f5060,plain,
( sum(pred(sum(n13,n14)),n17) = sK0
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5059,f228]) ).
fof(f228,plain,
n17 = sum(n13,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5059,plain,
( sK0 = sum(pred(sum(n13,n14)),sum(n13,n4))
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5058,f708]) ).
fof(f5058,plain,
( sum(pred(sum(n13,n14)),sum(n13,pred(n5))) = sK0
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5057,f62]) ).
fof(f5057,plain,
( sK0 = sum(pred(sum(n13,n14)),sum(n13,pred(sum(n13,n13))))
| ~ spl3_21
| ~ spl3_38 ),
inference(backward_demodulation,[],[f5014,f875]) ).
fof(f5048,plain,
( ~ spl3_21
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f5047]) ).
fof(f5047,plain,
( $false
| ~ spl3_21
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f5046,f453]) ).
fof(f5046,plain,
( n4 = sK0
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5045,f163]) ).
fof(f5045,plain,
( sum(n17,n8) = sK0
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5044,f622]) ).
fof(f5044,plain,
( sK0 = sum(pred(n18),n8)
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5043,f108]) ).
fof(f108,plain,
n18 = sum(n4,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5043,plain,
( sum(pred(sum(n4,n14)),n8) = sK0
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5042,f222]) ).
fof(f5042,plain,
( sK0 = sum(pred(sum(n4,n14)),sum(n13,n16))
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5041,f661]) ).
fof(f5041,plain,
( sum(pred(sum(n4,n14)),sum(n13,pred(n17))) = sK0
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5040,f256]) ).
fof(f5040,plain,
( sum(pred(sum(n4,n14)),sum(n13,pred(sum(n4,n13)))) = sK0
| ~ spl3_21
| ~ spl3_26 ),
inference(backward_demodulation,[],[f5014,f827]) ).
fof(f5025,plain,
( ~ spl3_21
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f5024]) ).
fof(f5024,plain,
( $false
| ~ spl3_21
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f5023,f12]) ).
fof(f5023,plain,
( n11 = sK0
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5022,f29]) ).
fof(f29,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5022,plain,
( sum(n10,n1) = sK0
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5021,f45]) ).
fof(f5021,plain,
( sK0 = sum(pred(n11),n1)
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5020,f455]) ).
fof(f5020,plain,
( sum(pred(sum(n18,n14)),n1) = sK0
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5019,f318]) ).
fof(f5019,plain,
( sum(pred(sum(n18,n14)),sum(n13,n9)) = sK0
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5018,f231]) ).
fof(f5018,plain,
( sK0 = sum(pred(sum(n18,n14)),sum(n13,pred(n10)))
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5017,f419]) ).
fof(f5017,plain,
( sum(pred(sum(n18,n14)),sum(n13,pred(sum(n18,n13)))) = sK0
| ~ spl3_21
| ~ spl3_30 ),
inference(backward_demodulation,[],[f5014,f843]) ).
fof(f5008,plain,
( ~ spl3_21
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f5007]) ).
fof(f5007,plain,
( $false
| ~ spl3_21
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f5006,f470]) ).
fof(f5006,plain,
( n18 = sK0
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5005,f547]) ).
fof(f5005,plain,
( sum(n3,n15) = sK0
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5004,f165]) ).
fof(f5004,plain,
( sum(pred(n4),n15) = sK0
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5003,f541]) ).
fof(f5003,plain,
( sum(pred(sum(n11,n14)),n15) = sK0
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5002,f697]) ).
fof(f5002,plain,
( sum(pred(sum(n11,succ(n13))),n15) = sK0
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5001,f475]) ).
fof(f5001,plain,
( sK0 = sum(pred(sum(n11,succ(n13))),sum(n13,n2))
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5000,f480]) ).
fof(f5000,plain,
( sum(pred(sum(n11,succ(n13))),sum(n13,pred(n3))) = sK0
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4999,f640]) ).
fof(f4999,plain,
( sum(pred(sum(n11,succ(n13))),sum(n13,pred(sum(n11,n13)))) = sK0
| ~ spl3_21
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4772,f806]) ).
fof(f4772,plain,
( sum(pred(sum(n11,succ(sK2))),sum(sK2,pred(sum(n11,sK2)))) = sK0
| ~ spl3_41 ),
inference(forward_demodulation,[],[f244,f887]) ).
fof(f887,plain,
( n11 = sK1
| ~ spl3_41 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f885,plain,
( spl3_41
<=> n11 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f4994,plain,
( ~ spl3_13
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4993]) ).
fof(f4993,plain,
( $false
| ~ spl3_13
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4992,f393]) ).
fof(f4992,plain,
( n0 = sK0
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4991,f172]) ).
fof(f4991,plain,
( sum(n18,n3) = sK0
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4990,f576]) ).
fof(f4990,plain,
( sum(pred(n19),n3) = sK0
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4989,f639]) ).
fof(f4989,plain,
( sum(pred(sum(n11,n8)),n3) = sK0
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4988,f413]) ).
fof(f4988,plain,
( sum(pred(sum(n11,succ(n7))),n3) = sK0
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4987,f689]) ).
fof(f4987,plain,
( sum(pred(sum(n11,succ(n7))),sum(n7,n17)) = sK0
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4986,f622]) ).
fof(f4986,plain,
( sK0 = sum(pred(sum(n11,succ(n7))),sum(n7,pred(n18)))
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4985,f587]) ).
fof(f4985,plain,
( sK0 = sum(pred(sum(n11,succ(n7))),sum(n7,pred(sum(n11,n7))))
| ~ spl3_13
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4772,f774]) ).
fof(f4972,plain,
( ~ spl3_3
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4971]) ).
fof(f4971,plain,
( $false
| ~ spl3_3
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4970,f8]) ).
fof(f4970,plain,
( n3 = sK0
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4969,f376]) ).
fof(f4969,plain,
( sum(n5,n19) = sK0
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4968,f581]) ).
fof(f4968,plain,
( sK0 = sum(pred(n6),n19)
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4967,f190]) ).
fof(f4967,plain,
( sum(pred(sum(n11,n16)),n19) = sK0
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4966,f109]) ).
fof(f4966,plain,
( sum(pred(sum(n11,succ(n15))),n19) = sK0
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4965,f246]) ).
fof(f4965,plain,
( sum(pred(sum(n11,succ(n15))),sum(n15,n4)) = sK0
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4964,f708]) ).
fof(f4964,plain,
( sum(pred(sum(n11,succ(n15))),sum(n15,pred(n5))) = sK0
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4963,f628]) ).
fof(f4963,plain,
( sum(pred(sum(n11,succ(n15))),sum(n15,pred(sum(n11,n15)))) = sK0
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4772,f734]) ).
fof(f4957,plain,
( ~ spl3_1
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4956]) ).
fof(f4956,plain,
( $false
| ~ spl3_1
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4955,f44]) ).
fof(f4955,plain,
( n12 = sK0
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4954,f589]) ).
fof(f4954,plain,
( sum(n8,n4) = sK0
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4953,f540]) ).
fof(f4953,plain,
( sum(pred(n9),n4) = sK0
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4952,f615]) ).
fof(f4952,plain,
( sK0 = sum(pred(sum(n11,n19)),n4)
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4951,f569]) ).
fof(f4951,plain,
( sum(pred(sum(n11,succ(n18))),n4) = sK0
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4950,f488]) ).
fof(f4950,plain,
( sum(pred(sum(n11,succ(n18))),sum(n18,n7)) = sK0
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4949,f245]) ).
fof(f4949,plain,
( sum(pred(sum(n11,succ(n18))),sum(n18,pred(n8))) = sK0
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4948,f87]) ).
fof(f4948,plain,
( sK0 = sum(pred(sum(n11,succ(n18))),sum(n18,pred(sum(n11,n18))))
| ~ spl3_1
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4772,f726]) ).
fof(f4944,plain,
( ~ spl3_4
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4943]) ).
fof(f4943,plain,
( $false
| ~ spl3_4
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4942,f123]) ).
fof(f4942,plain,
( n9 = sK0
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4941,f618]) ).
fof(f4941,plain,
( sum(n7,n2) = sK0
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4940,f245]) ).
fof(f4940,plain,
( sum(pred(n8),n2) = sK0
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4939,f87]) ).
fof(f4939,plain,
( sum(pred(sum(n11,n18)),n2) = sK0
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4938,f363]) ).
fof(f4938,plain,
( sum(pred(sum(n11,succ(n17))),n2) = sK0
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4937,f299]) ).
fof(f4937,plain,
( sum(pred(sum(n11,succ(n17))),sum(n17,n6)) = sK0
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4936,f423]) ).
fof(f4936,plain,
( sum(pred(sum(n11,succ(n17))),sum(n17,pred(n7))) = sK0
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4935,f261]) ).
fof(f4935,plain,
( sum(pred(sum(n11,succ(n17))),sum(n17,pred(sum(n11,n17)))) = sK0
| ~ spl3_4
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4772,f738]) ).
fof(f4932,plain,
( ~ spl3_8
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4931]) ).
fof(f4931,plain,
( $false
| ~ spl3_8
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4930,f8]) ).
fof(f4930,plain,
( n3 = sK0
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4929,f293]) ).
fof(f4929,plain,
( sum(n19,n5) = sK0
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4928,f148]) ).
fof(f4928,plain,
( sum(pred(n20),n5) = sK0
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4927,f383]) ).
fof(f4927,plain,
( sum(pred(sum(n11,n9)),n5) = sK0
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4926,f505]) ).
fof(f4926,plain,
( sum(pred(sum(n11,succ(n8))),n5) = sK0
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4925,f255]) ).
fof(f4925,plain,
( sum(pred(sum(n11,succ(n8))),sum(n8,n18)) = sK0
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4924,f576]) ).
fof(f4924,plain,
( sum(pred(sum(n11,succ(n8))),sum(n8,pred(n19))) = sK0
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4923,f639]) ).
fof(f4923,plain,
( sK0 = sum(pred(sum(n11,succ(n8))),sum(n8,pred(sum(n11,n8))))
| ~ spl3_8
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4772,f754]) ).
fof(f4911,plain,
( ~ spl3_6
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4910]) ).
fof(f4910,plain,
( $false
| ~ spl3_6
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4909,f393]) ).
fof(f4909,plain,
( n0 = sK0
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4908,f392]) ).
fof(f392,plain,
n0 = sum(n11,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4908,plain,
( sum(n11,n10) = sK0
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4907,f461]) ).
fof(f4907,plain,
( sK0 = sum(pred(n12),n10)
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4906,f247]) ).
fof(f4906,plain,
( sum(pred(sum(n11,n1)),n10) = sK0
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4905,f543]) ).
fof(f4905,plain,
( sum(pred(sum(n11,succ(n0))),n10) = sK0
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4904,f409]) ).
fof(f409,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4904,plain,
( sum(pred(sum(n11,succ(n0))),sum(n0,n10)) = sK0
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4903,f45]) ).
fof(f4903,plain,
( sK0 = sum(pred(sum(n11,succ(n0))),sum(n0,pred(n11)))
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4902,f101]) ).
fof(f101,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4902,plain,
( sum(pred(sum(n11,succ(n0))),sum(n0,pred(sum(n11,n0)))) = sK0
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4772,f746]) ).
fof(f4882,plain,
( ~ spl3_12
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4881]) ).
fof(f4881,plain,
( $false
| ~ spl3_12
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4880,f128]) ).
fof(f4880,plain,
( n15 = sK0
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4879,f189]) ).
fof(f4879,plain,
( sum(n9,n6) = sK0
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4878,f231]) ).
fof(f4878,plain,
( sum(pred(n10),n6) = sK0
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4877,f265]) ).
fof(f265,plain,
n10 = sum(n11,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4877,plain,
( sum(pred(sum(n11,n20)),n6) = sK0
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4876,f249]) ).
fof(f4876,plain,
( sum(pred(sum(n11,succ(n19))),n6) = sK0
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4875,f115]) ).
fof(f4875,plain,
( sum(pred(sum(n11,succ(n19))),sum(n19,n8)) = sK0
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4874,f540]) ).
fof(f4874,plain,
( sK0 = sum(pred(sum(n11,succ(n19))),sum(n19,pred(n9)))
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4873,f615]) ).
fof(f4873,plain,
( sum(pred(sum(n11,succ(n19))),sum(n19,pred(sum(n11,n19)))) = sK0
| ~ spl3_12
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4772,f770]) ).
fof(f4865,plain,
( ~ spl3_5
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4864]) ).
fof(f4864,plain,
( $false
| ~ spl3_5
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4863,f470]) ).
fof(f4863,plain,
( n18 = sK0
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4862,f486]) ).
fof(f4862,plain,
( sum(n17,n1) = sK0
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4861,f622]) ).
fof(f4861,plain,
( sK0 = sum(pred(n18),n1)
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4860,f587]) ).
fof(f4860,plain,
( sum(pred(sum(n11,n7)),n1) = sK0
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4859,f137]) ).
fof(f4859,plain,
( sK0 = sum(pred(sum(n11,succ(n6))),n1)
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4858,f329]) ).
fof(f4858,plain,
( sum(pred(sum(n11,succ(n6))),sum(n6,n16)) = sK0
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4857,f661]) ).
fof(f4857,plain,
( sum(pred(sum(n11,succ(n6))),sum(n6,pred(n17))) = sK0
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4856,f590]) ).
fof(f4856,plain,
( sum(pred(sum(n11,succ(n6))),sum(n6,pred(sum(n11,n6)))) = sK0
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4772,f742]) ).
fof(f4847,plain,
( ~ spl3_10
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4846]) ).
fof(f4846,plain,
( $false
| ~ spl3_10
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4845,f432]) ).
fof(f4845,plain,
( n6 = sK0
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4844,f548]) ).
fof(f4844,plain,
( sum(n20,n7) = sK0
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4843,f342]) ).
fof(f4843,plain,
( sK0 = sum(pred(n0),n7)
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4842,f392]) ).
fof(f4842,plain,
( sK0 = sum(pred(sum(n11,n10)),n7)
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4841,f389]) ).
fof(f4841,plain,
( sum(pred(sum(n11,succ(n9))),n7) = sK0
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4840,f105]) ).
fof(f4840,plain,
( sum(pred(sum(n11,succ(n9))),sum(n9,n19)) = sK0
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4839,f148]) ).
fof(f4839,plain,
( sum(pred(sum(n11,succ(n9))),sum(n9,pred(n20))) = sK0
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4838,f383]) ).
fof(f4838,plain,
( sK0 = sum(pred(sum(n11,succ(n9))),sum(n9,pred(sum(n11,n9))))
| ~ spl3_10
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4772,f762]) ).
fof(f4828,plain,
( ~ spl3_15
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4827]) ).
fof(f4827,plain,
( $false
| ~ spl3_15
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4826,f44]) ).
fof(f4826,plain,
( n12 = sK0
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4825,f177]) ).
fof(f4825,plain,
( sum(n1,n11) = sK0
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4824,f680]) ).
fof(f4824,plain,
( sum(pred(n2),n11) = sK0
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4823,f380]) ).
fof(f4823,plain,
( sum(pred(sum(n11,n12)),n11) = sK0
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4822,f55]) ).
fof(f4822,plain,
( sum(pred(sum(n11,succ(n11))),n11) = sK0
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4821,f101]) ).
fof(f4821,plain,
( sK0 = sum(pred(sum(n11,succ(n11))),sum(n11,n0))
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4820,f96]) ).
fof(f4820,plain,
( sum(pred(sum(n11,succ(n11))),sum(n11,pred(n1))) = sK0
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4819,f649]) ).
fof(f4819,plain,
( sK0 = sum(pred(sum(n11,succ(n11))),sum(n11,pred(sum(n11,n11))))
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4772,f782]) ).
fof(f4810,plain,
( ~ spl3_9
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4809]) ).
fof(f4809,plain,
( $false
| ~ spl3_9
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4808,f8]) ).
fof(f4808,plain,
( n3 = sK0
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4807,f672]) ).
fof(f4807,plain,
( sum(n12,n12) = sK0
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4806,f378]) ).
fof(f4806,plain,
( sK0 = sum(pred(n13),n12)
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4805,f10]) ).
fof(f4805,plain,
( sum(pred(sum(n11,n2)),n12) = sK0
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4804,f20]) ).
fof(f4804,plain,
( sum(pred(sum(n11,succ(n1))),n12) = sK0
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4803,f177]) ).
fof(f4803,plain,
( sum(pred(sum(n11,succ(n1))),sum(n1,n11)) = sK0
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4802,f461]) ).
fof(f4802,plain,
( sK0 = sum(pred(sum(n11,succ(n1))),sum(n1,pred(n12)))
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4801,f247]) ).
fof(f4801,plain,
( sum(pred(sum(n11,succ(n1))),sum(n1,pred(sum(n11,n1)))) = sK0
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4772,f758]) ).
fof(f4782,plain,
( ~ spl3_7
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4781]) ).
fof(f4781,plain,
( $false
| ~ spl3_7
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4780,f470]) ).
fof(f4780,plain,
( n18 = sK0
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4779,f658]) ).
fof(f658,plain,
n18 = sum(n10,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4779,plain,
( sum(n10,n8) = sK0
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4778,f45]) ).
fof(f4778,plain,
( sum(pred(n11),n8) = sK0
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4777,f101]) ).
fof(f4777,plain,
( sum(pred(sum(n11,n0)),n8) = sK0
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4776,f370]) ).
fof(f4776,plain,
( sK0 = sum(pred(sum(n11,succ(n20))),n8)
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4775,f512]) ).
fof(f4775,plain,
( sum(pred(sum(n11,succ(n20))),sum(n20,n9)) = sK0
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4774,f231]) ).
fof(f4774,plain,
( sum(pred(sum(n11,succ(n20))),sum(n20,pred(n10))) = sK0
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4773,f265]) ).
fof(f4773,plain,
( sum(pred(sum(n11,succ(n20))),sum(n20,pred(sum(n11,n20)))) = sK0
| ~ spl3_7
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4772,f750]) ).
fof(f4765,plain,
( ~ spl3_11
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4764]) ).
fof(f4764,plain,
( $false
| ~ spl3_11
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4763,f128]) ).
fof(f4763,plain,
( n15 = sK0
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4762,f656]) ).
fof(f656,plain,
n15 = sum(n16,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4762,plain,
( sum(n16,n20) = sK0
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4761,f661]) ).
fof(f4761,plain,
( sK0 = sum(pred(n17),n20)
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4760,f590]) ).
fof(f4760,plain,
( sum(pred(sum(n11,n6)),n20) = sK0
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4759,f420]) ).
fof(f4759,plain,
( sK0 = sum(pred(sum(n11,succ(n5))),n20)
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4758,f593]) ).
fof(f4758,plain,
( sK0 = sum(pred(sum(n11,succ(n5))),sum(n5,n15))
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4757,f387]) ).
fof(f4757,plain,
( sK0 = sum(pred(sum(n11,succ(n5))),sum(n5,pred(n16)))
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4756,f236]) ).
fof(f236,plain,
n16 = sum(n11,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4756,plain,
( sK0 = sum(pred(sum(n11,succ(n5))),sum(n5,pred(sum(n11,n5))))
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4755,f887]) ).
fof(f4755,plain,
( sum(pred(sum(sK1,succ(n5))),sum(n5,pred(sum(sK1,n5)))) = sK0
| ~ spl3_11 ),
inference(forward_demodulation,[],[f244,f766]) ).
fof(f4745,plain,
( ~ spl3_14
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4744]) ).
fof(f4744,plain,
( $false
| ~ spl3_14
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4743,f128]) ).
fof(f4743,plain,
( n15 = sK0
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4742,f463]) ).
fof(f4742,plain,
( sum(n2,n13) = sK0
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4741,f480]) ).
fof(f4741,plain,
( sum(pred(n3),n13) = sK0
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4740,f640]) ).
fof(f4740,plain,
( sum(pred(sum(n11,n13)),n13) = sK0
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4739,f322]) ).
fof(f4739,plain,
( sK0 = sum(pred(sum(n11,succ(n12))),n13)
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4738,f295]) ).
fof(f4738,plain,
( sK0 = sum(pred(sum(n11,succ(n12))),sum(n12,n1))
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4737,f680]) ).
fof(f4737,plain,
( sK0 = sum(pred(sum(n11,succ(n12))),sum(n12,pred(n2)))
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4736,f380]) ).
fof(f4736,plain,
( sum(pred(sum(n11,succ(n12))),sum(n12,pred(sum(n11,n12)))) = sK0
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4735,f887]) ).
fof(f4735,plain,
( sK0 = sum(pred(sum(sK1,succ(n12))),sum(n12,pred(sum(sK1,n12))))
| ~ spl3_14 ),
inference(forward_demodulation,[],[f244,f778]) ).
fof(f4720,plain,
( ~ spl3_20
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f4719]) ).
fof(f4719,plain,
( $false
| ~ spl3_20
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f4718,f43]) ).
fof(f4718,plain,
( n13 = sK0
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4717,f573]) ).
fof(f573,plain,
n13 = sum(n16,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f4717,plain,
( sum(n16,n18) = sK0
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4716,f661]) ).
fof(f4716,plain,
( sum(pred(n17),n18) = sK0
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4715,f228]) ).
fof(f4715,plain,
( sum(pred(sum(n13,n4)),n18) = sK0
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4714,f547]) ).
fof(f4714,plain,
( sum(pred(sum(n13,n4)),sum(n3,n15)) = sK0
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4713,f387]) ).
fof(f4713,plain,
( sum(pred(sum(n13,n4)),sum(n3,pred(n16))) = sK0
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4712,f314]) ).
fof(f4712,plain,
( sK0 = sum(pred(sum(n13,n4)),sum(n3,pred(sum(n13,n3))))
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4408,f875]) ).
fof(f4408,plain,
( sum(pred(sum(sK1,n4)),sum(n3,pred(sum(sK1,n3)))) = sK0
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4392,f141]) ).
fof(f141,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f5]) ).
fof(f4392,plain,
( sum(pred(sum(sK1,succ(n3))),sum(n3,pred(sum(sK1,n3)))) = sK0
| ~ spl3_20 ),
inference(backward_demodulation,[],[f244,f802]) ).
fof(f802,plain,
( n3 = sK2
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl3_20
<=> n3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f4703,plain,
( ~ spl3_20
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4702]) ).
fof(f4702,plain,
( $false
| ~ spl3_20
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4701,f8]) ).
fof(f4701,plain,
( n3 = sK0
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4700,f640]) ).
fof(f4700,plain,
( sum(n11,n13) = sK0
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4699,f461]) ).
fof(f4699,plain,
( sum(pred(n12),n13) = sK0
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4698,f589]) ).
fof(f4698,plain,
( sK0 = sum(pred(sum(n8,n4)),n13)
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4697,f176]) ).
fof(f4697,plain,
( sK0 = sum(pred(sum(n8,n4)),sum(n3,n10))
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4696,f45]) ).
fof(f4696,plain,
( sK0 = sum(pred(sum(n8,n4)),sum(n3,pred(n11)))
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4695,f58]) ).
fof(f4695,plain,
( sum(pred(sum(n8,n4)),sum(n3,pred(sum(n8,n3)))) = sK0
| ~ spl3_20
| ~ spl3_29 ),
inference(backward_demodulation,[],[f4408,f839]) ).
fof(f4683,plain,
( ~ spl3_20
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4682]) ).
fof(f4682,plain,
( $false
| ~ spl3_20
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4681,f12]) ).
fof(f4681,plain,
( n11 = sK0
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4680,f600]) ).
fof(f4680,plain,
( sum(n15,n17) = sK0
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4679,f387]) ).
fof(f4679,plain,
( sK0 = sum(pred(n16),n17)
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4678,f28]) ).
fof(f28,plain,
n16 = sum(n12,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4678,plain,
( sum(pred(sum(n12,n4)),n17) = sK0
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4677,f269]) ).
fof(f4677,plain,
( sK0 = sum(pred(sum(n12,n4)),sum(n3,n14))
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4676,f164]) ).
fof(f4676,plain,
( sK0 = sum(pred(sum(n12,n4)),sum(n3,pred(n15)))
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4675,f232]) ).
fof(f4675,plain,
( sum(pred(sum(n12,n4)),sum(n3,pred(sum(n12,n3)))) = sK0
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4408,f815]) ).
fof(f4666,plain,
( ~ spl3_20
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f4665]) ).
fof(f4665,plain,
( $false
| ~ spl3_20
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f4664,f432]) ).
fof(f4664,plain,
( n6 = sK0
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4663,f605]) ).
fof(f605,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4663,plain,
( sum(n2,n4) = sK0
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4662,f480]) ).
fof(f4662,plain,
( sum(pred(n3),n4) = sK0
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4661,f162]) ).
fof(f4661,plain,
( sK0 = sum(pred(sum(n20,n4)),n4)
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4660,f642]) ).
fof(f4660,plain,
( sK0 = sum(pred(sum(n20,n4)),sum(n3,n1))
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4659,f680]) ).
fof(f4659,plain,
( sum(pred(sum(n20,n4)),sum(n3,pred(n2))) = sK0
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4658,f704]) ).
fof(f4658,plain,
( sK0 = sum(pred(sum(n20,n4)),sum(n3,pred(sum(n20,n3))))
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4408,f859]) ).
fof(f4653,plain,
( ~ spl3_20
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f4652]) ).
fof(f4652,plain,
( $false
| ~ spl3_20
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f4651,f140]) ).
fof(f4651,plain,
( n14 = sK0
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f4650,f312]) ).
fof(f4650,plain,
( sum(n6,n8) = sK0
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f4649,f423]) ).
fof(f4649,plain,
( sK0 = sum(pred(n7),n8)
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f4648,f266]) ).
fof(f266,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4648,plain,
( sum(pred(sum(n3,n4)),n8) = sK0
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f4647,f395]) ).
fof(f4647,plain,
( sum(pred(sum(n3,n4)),sum(n3,n5)) = sK0
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f4646,f581]) ).
fof(f4646,plain,
( sum(pred(sum(n3,n4)),sum(n3,pred(n6))) = sK0
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f4645,f287]) ).
fof(f4645,plain,
( sum(pred(sum(n3,n4)),sum(n3,pred(sum(n3,n3)))) = sK0
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f4408,f891]) ).
fof(f4623,plain,
( ~ spl3_20
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f4622]) ).
fof(f4622,plain,
( $false
| ~ spl3_20
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f4621,f470]) ).
fof(f4621,plain,
( n18 = sK0
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4620,f103]) ).
fof(f4620,plain,
( sum(n8,n10) = sK0
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4619,f540]) ).
fof(f4619,plain,
( sum(pred(n9),n10) = sK0
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4618,f59]) ).
fof(f4618,plain,
( sK0 = sum(pred(sum(n5,n4)),n10)
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4617,f196]) ).
fof(f4617,plain,
( sum(pred(sum(n5,n4)),sum(n3,n7)) = sK0
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4616,f245]) ).
fof(f4616,plain,
( sum(pred(sum(n5,n4)),sum(n3,pred(n8))) = sK0
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4615,f146]) ).
fof(f4615,plain,
( sum(pred(sum(n5,n4)),sum(n3,pred(sum(n5,n3)))) = sK0
| ~ spl3_20
| ~ spl3_40 ),
inference(backward_demodulation,[],[f4408,f883]) ).
fof(f4596,plain,
( ~ spl3_20
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4595]) ).
fof(f4595,plain,
( $false
| ~ spl3_20
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4594,f102]) ).
fof(f4594,plain,
( n10 = sK0
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4593,f527]) ).
fof(f4593,plain,
( sum(n4,n6) = sK0
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4592,f708]) ).
fof(f4592,plain,
( sum(pred(n5),n6) = sK0
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4591,f450]) ).
fof(f4591,plain,
( sum(pred(sum(n1,n4)),n6) = sK0
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4590,f287]) ).
fof(f4590,plain,
( sum(pred(sum(n1,n4)),sum(n3,n3)) = sK0
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4589,f165]) ).
fof(f4589,plain,
( sK0 = sum(pred(sum(n1,n4)),sum(n3,pred(n4)))
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4588,f454]) ).
fof(f4588,plain,
( sK0 = sum(pred(sum(n1,n4)),sum(n3,pred(sum(n1,n3))))
| ~ spl3_20
| ~ spl3_32 ),
inference(backward_demodulation,[],[f4408,f851]) ).
fof(f4570,plain,
( ~ spl3_20
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f4569]) ).
fof(f4569,plain,
( $false
| ~ spl3_20
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f4568,f60]) ).
fof(f4568,plain,
( n1 = sK0
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4567,f203]) ).
fof(f203,plain,
n1 = sum(n10,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4567,plain,
( sum(n10,n12) = sK0
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4566,f45]) ).
fof(f4566,plain,
( sK0 = sum(pred(n11),n12)
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4565,f465]) ).
fof(f4565,plain,
( sK0 = sum(pred(sum(n7,n4)),n12)
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4564,f401]) ).
fof(f4564,plain,
( sum(pred(sum(n7,n4)),sum(n3,n9)) = sK0
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4563,f231]) ).
fof(f4563,plain,
( sum(pred(sum(n7,n4)),sum(n3,pred(n10))) = sK0
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4562,f610]) ).
fof(f4562,plain,
( sK0 = sum(pred(sum(n7,n4)),sum(n3,pred(sum(n7,n3))))
| ~ spl3_20
| ~ spl3_24 ),
inference(backward_demodulation,[],[f4408,f819]) ).
fof(f4549,plain,
( ~ spl3_20
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4548]) ).
fof(f4548,plain,
( $false
| ~ spl3_20
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4547,f44]) ).
fof(f4547,plain,
( n12 = sK0
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4546,f131]) ).
fof(f4546,plain,
( sum(n5,n7) = sK0
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4545,f581]) ).
fof(f4545,plain,
( sK0 = sum(pred(n6),n7)
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4544,f605]) ).
fof(f4544,plain,
( sum(pred(sum(n2,n4)),n7) = sK0
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4543,f266]) ).
fof(f4543,plain,
( sum(pred(sum(n2,n4)),sum(n3,n4)) = sK0
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4542,f708]) ).
fof(f4542,plain,
( sum(pred(sum(n2,n4)),sum(n3,pred(n5))) = sK0
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4541,f625]) ).
fof(f625,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4541,plain,
( sK0 = sum(pred(sum(n2,n4)),sum(n3,pred(sum(n2,n3))))
| ~ spl3_20
| ~ spl3_25 ),
inference(backward_demodulation,[],[f4408,f823]) ).
fof(f4525,plain,
( ~ spl3_20
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f4524]) ).
fof(f4524,plain,
( $false
| ~ spl3_20
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f4523,f111]) ).
fof(f4523,plain,
( n5 = sK0
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4522,f81]) ).
fof(f4522,plain,
( sum(n12,n14) = sK0
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4521,f378]) ).
fof(f4521,plain,
( sum(pred(n13),n14) = sK0
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4520,f126]) ).
fof(f4520,plain,
( sum(pred(sum(n9,n4)),n14) = sK0
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4519,f345]) ).
fof(f4519,plain,
( sum(pred(sum(n9,n4)),sum(n3,n11)) = sK0
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4518,f461]) ).
fof(f4518,plain,
( sum(pred(sum(n9,n4)),sum(n3,pred(n12))) = sK0
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4517,f607]) ).
fof(f607,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4517,plain,
( sK0 = sum(pred(sum(n9,n4)),sum(n3,pred(sum(n9,n3))))
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f4408,f811]) ).
fof(f4503,plain,
( ~ spl3_20
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4502]) ).
fof(f4502,plain,
( $false
| ~ spl3_20
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4501,f123]) ).
fof(f4501,plain,
( n9 = sK0
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4500,f676]) ).
fof(f676,plain,
n9 = sum(n14,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f4500,plain,
( sum(n14,n16) = sK0
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4499,f164]) ).
fof(f4499,plain,
( sum(pred(n15),n16) = sK0
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4498,f603]) ).
fof(f4498,plain,
( sK0 = sum(pred(sum(n11,n4)),n16)
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4497,f167]) ).
fof(f4497,plain,
( sK0 = sum(pred(sum(n11,n4)),sum(n3,n13))
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4496,f278]) ).
fof(f4496,plain,
( sK0 = sum(pred(sum(n11,n4)),sum(n3,pred(n14)))
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4495,f365]) ).
fof(f365,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4495,plain,
( sum(pred(sum(n11,n4)),sum(n3,pred(sum(n11,n3)))) = sK0
| ~ spl3_20
| ~ spl3_41 ),
inference(backward_demodulation,[],[f4408,f887]) ).
fof(f4491,plain,
( ~ spl3_20
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f4490]) ).
fof(f4490,plain,
( $false
| ~ spl3_20
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f4489,f118]) ).
fof(f4489,plain,
( n16 = sK0
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4488,f545]) ).
fof(f4488,plain,
( sum(n7,n9) = sK0
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4487,f245]) ).
fof(f4487,plain,
( sum(pred(n8),n9) = sK0
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4486,f612]) ).
fof(f4486,plain,
( sum(pred(sum(n4,n4)),n9) = sK0
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4485,f712]) ).
fof(f4485,plain,
( sum(pred(sum(n4,n4)),sum(n3,n6)) = sK0
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4484,f423]) ).
fof(f4484,plain,
( sum(pred(sum(n4,n4)),sum(n3,pred(n7))) = sK0
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4483,f696]) ).
fof(f4483,plain,
( sum(pred(sum(n4,n4)),sum(n3,pred(sum(n4,n3)))) = sK0
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4408,f827]) ).
fof(f4464,plain,
( ~ spl3_20
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f4463]) ).
fof(f4463,plain,
( $false
| ~ spl3_20
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f4462,f663]) ).
fof(f4462,plain,
( n20 = sK0
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4461,f519]) ).
fof(f4461,plain,
( sum(n9,n11) = sK0
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4460,f231]) ).
fof(f4460,plain,
( sum(pred(n10),n11) = sK0
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4459,f694]) ).
fof(f4459,plain,
( sK0 = sum(pred(sum(n6,n4)),n11)
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4458,f61]) ).
fof(f4458,plain,
( sum(pred(sum(n6,n4)),sum(n3,n8)) = sK0
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4457,f540]) ).
fof(f4457,plain,
( sum(pred(sum(n6,n4)),sum(n3,pred(n9))) = sK0
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4456,f701]) ).
fof(f4456,plain,
( sum(pred(sum(n6,n4)),sum(n3,pred(sum(n6,n3)))) = sK0
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4408,f867]) ).
fof(f4443,plain,
( ~ spl3_20
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4442]) ).
fof(f4442,plain,
( $false
| ~ spl3_20
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4441,f307]) ).
fof(f4441,plain,
( n17 = sK0
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4440,f23]) ).
fof(f4440,plain,
( sum(n18,n20) = sK0
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4439,f576]) ).
fof(f4439,plain,
( sum(pred(n19),n20) = sK0
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4438,f246]) ).
fof(f4438,plain,
( sK0 = sum(pred(sum(n15,n4)),n20)
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4437,f549]) ).
fof(f4437,plain,
( sK0 = sum(pred(sum(n15,n4)),sum(n3,n17))
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4436,f622]) ).
fof(f4436,plain,
( sum(pred(sum(n15,n4)),sum(n3,pred(n18))) = sK0
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4435,f665]) ).
fof(f665,plain,
n18 = sum(n15,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4435,plain,
( sum(pred(sum(n15,n4)),sum(n3,pred(sum(n15,n3)))) = sK0
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4408,f831]) ).
fof(f4430,plain,
( ~ spl3_20
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f4429]) ).
fof(f4429,plain,
( $false
| ~ spl3_20
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f4428,f453]) ).
fof(f4428,plain,
( n4 = sK0
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4427,f454]) ).
fof(f4427,plain,
( sum(n1,n3) = sK0
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4426,f680]) ).
fof(f4426,plain,
( sK0 = sum(pred(n2),n3)
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4425,f224]) ).
fof(f4425,plain,
( sK0 = sum(pred(sum(n19,n4)),n3)
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4424,f229]) ).
fof(f4424,plain,
( sum(pred(sum(n19,n4)),sum(n3,n0)) = sK0
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4423,f96]) ).
fof(f4423,plain,
( sum(pred(sum(n19,n4)),sum(n3,pred(n1))) = sK0
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4422,f259]) ).
fof(f4422,plain,
( sum(pred(sum(n19,n4)),sum(n3,pred(sum(n19,n3)))) = sK0
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4408,f835]) ).
fof(f4417,plain,
( ~ spl3_20
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f4416]) ).
fof(f4416,plain,
( $false
| ~ spl3_20
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f4415,f509]) ).
fof(f4415,plain,
( n2 = sK0
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4414,f679]) ).
fof(f4414,plain,
( sum(n0,n2) = sK0
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4413,f96]) ).
fof(f4413,plain,
( sK0 = sum(pred(n1),n2)
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4412,f93]) ).
fof(f4412,plain,
( sum(pred(sum(n18,n4)),n2) = sK0
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4411,f341]) ).
fof(f4411,plain,
( sum(pred(sum(n18,n4)),sum(n3,n20)) = sK0
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4410,f342]) ).
fof(f4410,plain,
( sum(pred(sum(n18,n4)),sum(n3,pred(n0))) = sK0
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4409,f172]) ).
fof(f4409,plain,
( sum(pred(sum(n18,n4)),sum(n3,pred(sum(n18,n3)))) = sK0
| ~ spl3_20
| ~ spl3_30 ),
inference(backward_demodulation,[],[f4408,f843]) ).
fof(f4391,plain,
( ~ spl3_4
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4390]) ).
fof(f4390,plain,
( $false
| ~ spl3_4
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4389,f277]) ).
fof(f4389,plain,
( n19 = sK0
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4388,f98]) ).
fof(f4388,plain,
( sum(n12,n7) = sK0
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4387,f378]) ).
fof(f4387,plain,
( sum(pred(n13),n7) = sK0
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4386,f573]) ).
fof(f4386,plain,
( sum(pred(sum(n16,n18)),n7) = sK0
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4385,f363]) ).
fof(f4385,plain,
( sum(pred(sum(n16,succ(n17))),n7) = sK0
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4384,f683]) ).
fof(f683,plain,
n7 = sum(n17,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4384,plain,
( sum(pred(sum(n16,succ(n17))),sum(n17,n11)) = sK0
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4383,f461]) ).
fof(f4383,plain,
( sum(pred(sum(n16,succ(n17))),sum(n17,pred(n12))) = sK0
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4382,f267]) ).
fof(f267,plain,
n12 = sum(n16,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4382,plain,
( sK0 = sum(pred(sum(n16,succ(n17))),sum(n17,pred(sum(n16,n17))))
| ~ spl3_4
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f738]) ).
fof(f4082,plain,
( sum(pred(sum(n16,succ(sK2))),sum(sK2,pred(sum(n16,sK2)))) = sK0
| ~ spl3_39 ),
inference(forward_demodulation,[],[f244,f879]) ).
fof(f879,plain,
( n16 = sK1
| ~ spl3_39 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl3_39
<=> n16 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f4378,plain,
( ~ spl3_21
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4377]) ).
fof(f4377,plain,
( $false
| ~ spl3_21
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4376,f637]) ).
fof(f4376,plain,
( n7 = sK0
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4375,f477]) ).
fof(f4375,plain,
( sum(n8,n20) = sK0
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4374,f540]) ).
fof(f4374,plain,
( sum(pred(n9),n20) = sK0
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4373,f82]) ).
fof(f82,plain,
n9 = sum(n16,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4373,plain,
( sum(pred(sum(n16,n14)),n20) = sK0
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4372,f697]) ).
fof(f4372,plain,
( sK0 = sum(pred(sum(n16,succ(n13))),n20)
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4371,f52]) ).
fof(f4371,plain,
( sum(pred(sum(n16,succ(n13))),sum(n13,n7)) = sK0
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4370,f245]) ).
fof(f4370,plain,
( sum(pred(sum(n16,succ(n13))),sum(n13,pred(n8))) = sK0
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4369,f301]) ).
fof(f4369,plain,
( sum(pred(sum(n16,succ(n13))),sum(n13,pred(sum(n16,n13)))) = sK0
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4082,f806]) ).
fof(f4355,plain,
( ~ spl3_10
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4354]) ).
fof(f4354,plain,
( $false
| ~ spl3_10
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4353,f118]) ).
fof(f4353,plain,
( n16 = sK0
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4352,f83]) ).
fof(f4352,plain,
( sum(n4,n12) = sK0
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4351,f708]) ).
fof(f4351,plain,
( sum(pred(n5),n12) = sK0
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4350,f715]) ).
fof(f715,plain,
n5 = sum(n16,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4350,plain,
( sum(pred(sum(n16,n10)),n12) = sK0
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4349,f389]) ).
fof(f4349,plain,
( sum(pred(sum(n16,succ(n9))),n12) = sK0
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4348,f607]) ).
fof(f4348,plain,
( sum(pred(sum(n16,succ(n9))),sum(n9,n3)) = sK0
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4347,f165]) ).
fof(f4347,plain,
( sum(pred(sum(n16,succ(n9))),sum(n9,pred(n4))) = sK0
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4346,f21]) ).
fof(f4346,plain,
( sum(pred(sum(n16,succ(n9))),sum(n9,pred(sum(n16,n9)))) = sK0
| ~ spl3_10
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f762]) ).
fof(f4340,plain,
( ~ spl3_3
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4339]) ).
fof(f4339,plain,
( $false
| ~ spl3_3
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4338,f43]) ).
fof(f4338,plain,
( n13 = sK0
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4337,f192]) ).
fof(f192,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4337,plain,
( sum(n10,n3) = sK0
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4336,f45]) ).
fof(f4336,plain,
( sK0 = sum(pred(n11),n3)
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4335,f445]) ).
fof(f4335,plain,
( sum(pred(sum(n16,n16)),n3) = sK0
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4334,f109]) ).
fof(f4334,plain,
( sum(pred(sum(n16,succ(n15))),n3) = sK0
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4333,f251]) ).
fof(f4333,plain,
( sum(pred(sum(n16,succ(n15))),sum(n15,n9)) = sK0
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4332,f231]) ).
fof(f4332,plain,
( sum(pred(sum(n16,succ(n15))),sum(n15,pred(n10))) = sK0
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4331,f406]) ).
fof(f406,plain,
n10 = sum(n16,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4331,plain,
( sum(pred(sum(n16,succ(n15))),sum(n15,pred(sum(n16,n15)))) = sK0
| ~ spl3_3
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f734]) ).
fof(f4323,plain,
( ~ spl3_1
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4322]) ).
fof(f4322,plain,
( $false
| ~ spl3_1
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4321,f60]) ).
fof(f4321,plain,
( n1 = sK0
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4320,f318]) ).
fof(f4320,plain,
( sum(n13,n9) = sK0
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4319,f278]) ).
fof(f4319,plain,
( sK0 = sum(pred(n14),n9)
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4318,f570]) ).
fof(f570,plain,
n14 = sum(n16,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f4318,plain,
( sum(pred(sum(n16,n19)),n9) = sK0
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4317,f569]) ).
fof(f4317,plain,
( sK0 = sum(pred(sum(n16,succ(n18))),n9)
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4316,f107]) ).
fof(f4316,plain,
( sum(pred(sum(n16,succ(n18))),sum(n18,n12)) = sK0
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4315,f378]) ).
fof(f4315,plain,
( sum(pred(sum(n16,succ(n18))),sum(n18,pred(n13))) = sK0
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4314,f573]) ).
fof(f4314,plain,
( sum(pred(sum(n16,succ(n18))),sum(n18,pred(sum(n16,n18)))) = sK0
| ~ spl3_1
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f726]) ).
fof(f4306,plain,
( ~ spl3_14
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4305]) ).
fof(f4305,plain,
( $false
| ~ spl3_14
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4304,f453]) ).
fof(f4304,plain,
( n4 = sK0
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4303,f7]) ).
fof(f4303,plain,
( sum(n7,n18) = sK0
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4302,f245]) ).
fof(f4302,plain,
( sum(pred(n8),n18) = sK0
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4301,f301]) ).
fof(f4301,plain,
( sum(pred(sum(n16,n13)),n18) = sK0
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4300,f322]) ).
fof(f4300,plain,
( sum(pred(sum(n16,succ(n12))),n18) = sK0
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4299,f568]) ).
fof(f4299,plain,
( sum(pred(sum(n16,succ(n12))),sum(n12,n6)) = sK0
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4298,f423]) ).
fof(f4298,plain,
( sum(pred(sum(n16,succ(n12))),sum(n12,pred(n7))) = sK0
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4297,f551]) ).
fof(f4297,plain,
( sum(pred(sum(n16,succ(n12))),sum(n12,pred(sum(n16,n12)))) = sK0
| ~ spl3_14
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f778]) ).
fof(f4294,plain,
( ~ spl3_20
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4293]) ).
fof(f4293,plain,
( $false
| ~ spl3_20
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4292,f277]) ).
fof(f4292,plain,
( n19 = sK0
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4291,f300]) ).
fof(f4291,plain,
( sum(n19,n0) = sK0
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4290,f148]) ).
fof(f4290,plain,
( sum(pred(n20),n0) = sK0
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4289,f592]) ).
fof(f592,plain,
n20 = sum(n16,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4289,plain,
( sum(pred(sum(n16,n4)),n0) = sK0
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4288,f141]) ).
fof(f4288,plain,
( sum(pred(sum(n16,succ(n3))),n0) = sK0
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4287,f204]) ).
fof(f4287,plain,
( sum(pred(sum(n16,succ(n3))),sum(n3,n18)) = sK0
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4286,f576]) ).
fof(f4286,plain,
( sum(pred(sum(n16,succ(n3))),sum(n3,pred(n19))) = sK0
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4285,f525]) ).
fof(f4285,plain,
( sum(pred(sum(n16,succ(n3))),sum(n3,pred(sum(n16,n3)))) = sK0
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4082,f802]) ).
fof(f4258,plain,
( ~ spl3_11
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4257]) ).
fof(f4257,plain,
( $false
| ~ spl3_11
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4256,f453]) ).
fof(f4256,plain,
( n4 = sK0
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4255,f377]) ).
fof(f4255,plain,
( sum(n0,n4) = sK0
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4254,f96]) ).
fof(f4254,plain,
( sum(pred(n1),n4) = sK0
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4253,f500]) ).
fof(f4253,plain,
( sum(pred(sum(n16,n6)),n4) = sK0
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4252,f420]) ).
fof(f4252,plain,
( sum(pred(sum(n16,succ(n5))),n4) = sK0
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4251,f230]) ).
fof(f4251,plain,
( sK0 = sum(pred(sum(n16,succ(n5))),sum(n5,n20))
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4250,f342]) ).
fof(f4250,plain,
( sum(pred(sum(n16,succ(n5))),sum(n5,pred(n0))) = sK0
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4249,f308]) ).
fof(f4249,plain,
( sum(pred(sum(n16,succ(n5))),sum(n5,pred(sum(n16,n5)))) = sK0
| ~ spl3_11
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f766]) ).
fof(f4245,plain,
( ~ spl3_9
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4244]) ).
fof(f4244,plain,
( $false
| ~ spl3_9
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4243,f43]) ).
fof(f4243,plain,
( n13 = sK0
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4242,f215]) ).
fof(f4242,plain,
( sum(n17,n17) = sK0
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4241,f622]) ).
fof(f4241,plain,
( sum(pred(n18),n17) = sK0
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4240,f502]) ).
fof(f4240,plain,
( sum(pred(sum(n16,n2)),n17) = sK0
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4239,f20]) ).
fof(f4239,plain,
( sK0 = sum(pred(sum(n16,succ(n1))),n17)
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4238,f84]) ).
fof(f4238,plain,
( sK0 = sum(pred(sum(n16,succ(n1))),sum(n1,n16))
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4237,f661]) ).
fof(f4237,plain,
( sum(pred(sum(n16,succ(n1))),sum(n1,pred(n17))) = sK0
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4236,f452]) ).
fof(f4236,plain,
( sum(pred(sum(n16,succ(n1))),sum(n1,pred(sum(n16,n1)))) = sK0
| ~ spl3_9
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f758]) ).
fof(f4217,plain,
( ~ spl3_7
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4216]) ).
fof(f4216,plain,
( $false
| ~ spl3_7
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4215,f637]) ).
fof(f4215,plain,
( n7 = sK0
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4214,f206]) ).
fof(f4214,plain,
( sum(n15,n13) = sK0
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4213,f387]) ).
fof(f4213,plain,
( sum(pred(n16),n13) = sK0
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4212,f398]) ).
fof(f398,plain,
n16 = sum(n16,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4212,plain,
( sum(pred(sum(n16,n0)),n13) = sK0
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4211,f370]) ).
fof(f4211,plain,
( sum(pred(sum(n16,succ(n20))),n13) = sK0
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4210,f448]) ).
fof(f4210,plain,
( sum(pred(sum(n16,succ(n20))),sum(n20,n14)) = sK0
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4209,f164]) ).
fof(f4209,plain,
( sum(pred(sum(n16,succ(n20))),sum(n20,pred(n15))) = sK0
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4208,f656]) ).
fof(f4208,plain,
( sum(pred(sum(n16,succ(n20))),sum(n20,pred(sum(n16,n20)))) = sK0
| ~ spl3_7
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f750]) ).
fof(f4199,plain,
( ~ spl3_5
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4198]) ).
fof(f4198,plain,
( $false
| ~ spl3_5
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4197,f637]) ).
fof(f4197,plain,
( n7 = sK0
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4196,f705]) ).
fof(f4196,plain,
( sum(n1,n6) = sK0
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4195,f680]) ).
fof(f4195,plain,
( sK0 = sum(pred(n2),n6)
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4194,f666]) ).
fof(f4194,plain,
( sK0 = sum(pred(sum(n16,n7)),n6)
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4193,f137]) ).
fof(f4193,plain,
( sum(pred(sum(n16,succ(n6))),n6) = sK0
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4192,f260]) ).
fof(f4192,plain,
( sum(pred(sum(n16,succ(n6))),sum(n6,n0)) = sK0
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4191,f96]) ).
fof(f4191,plain,
( sum(pred(sum(n16,succ(n6))),sum(n6,pred(n1))) = sK0
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4190,f500]) ).
fof(f4190,plain,
( sK0 = sum(pred(sum(n16,succ(n6))),sum(n6,pred(sum(n16,n6))))
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4082,f742]) ).
fof(f4173,plain,
( ~ spl3_6
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4172]) ).
fof(f4172,plain,
( $false
| ~ spl3_6
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4171,f102]) ).
fof(f4171,plain,
( n10 = sK0
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4170,f406]) ).
fof(f4170,plain,
( sum(n16,n15) = sK0
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4169,f661]) ).
fof(f4169,plain,
( sum(pred(n17),n15) = sK0
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4168,f452]) ).
fof(f4168,plain,
( sum(pred(sum(n16,n1)),n15) = sK0
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4167,f543]) ).
fof(f4167,plain,
( sum(pred(sum(n16,succ(n0))),n15) = sK0
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4166,f669]) ).
fof(f669,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4166,plain,
( sK0 = sum(pred(sum(n16,succ(n0))),sum(n0,n15))
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4165,f387]) ).
fof(f4165,plain,
( sum(pred(sum(n16,succ(n0))),sum(n0,pred(n16))) = sK0
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4164,f398]) ).
fof(f4164,plain,
( sum(pred(sum(n16,succ(n0))),sum(n0,pred(sum(n16,n0)))) = sK0
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4082,f746]) ).
fof(f4154,plain,
( ~ spl3_8
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4153]) ).
fof(f4153,plain,
( $false
| ~ spl3_8
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4152,f43]) ).
fof(f4152,plain,
( n13 = sK0
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4151,f176]) ).
fof(f4151,plain,
( sum(n3,n10) = sK0
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4150,f165]) ).
fof(f4150,plain,
( sum(pred(n4),n10) = sK0
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4149,f21]) ).
fof(f4149,plain,
( sum(pred(sum(n16,n9)),n10) = sK0
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4148,f505]) ).
fof(f4148,plain,
( sum(pred(sum(n16,succ(n8))),n10) = sK0
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4147,f46]) ).
fof(f4147,plain,
( sum(pred(sum(n16,succ(n8))),sum(n8,n2)) = sK0
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4146,f480]) ).
fof(f4146,plain,
( sum(pred(sum(n16,succ(n8))),sum(n8,pred(n3))) = sK0
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4145,f235]) ).
fof(f235,plain,
n3 = sum(n16,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4145,plain,
( sum(pred(sum(n16,succ(n8))),sum(n8,pred(sum(n16,n8)))) = sK0
| ~ spl3_8
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f754]) ).
fof(f4134,plain,
( ~ spl3_12
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4133]) ).
fof(f4133,plain,
( $false
| ~ spl3_12
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4132,f453]) ).
fof(f4132,plain,
( n4 = sK0
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4131,f698]) ).
fof(f698,plain,
n4 = sum(n14,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4131,plain,
( sum(n14,n11) = sK0
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4130,f164]) ).
fof(f4130,plain,
( sum(pred(n15),n11) = sK0
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4129,f656]) ).
fof(f4129,plain,
( sK0 = sum(pred(sum(n16,n20)),n11)
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4128,f249]) ).
fof(f4128,plain,
( sK0 = sum(pred(sum(n16,succ(n19))),n11)
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4127,f35]) ).
fof(f4127,plain,
( sK0 = sum(pred(sum(n16,succ(n19))),sum(n19,n13))
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4126,f278]) ).
fof(f4126,plain,
( sK0 = sum(pred(sum(n16,succ(n19))),sum(n19,pred(n14)))
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4125,f570]) ).
fof(f4125,plain,
( sum(pred(sum(n16,succ(n19))),sum(n19,pred(sum(n16,n19)))) = sK0
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4082,f770]) ).
fof(f4121,plain,
( ~ spl3_15
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4120]) ).
fof(f4120,plain,
( $false
| ~ spl3_15
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4119,f60]) ).
fof(f4119,plain,
( n1 = sK0
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4118,f329]) ).
fof(f4118,plain,
( sum(n6,n16) = sK0
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4117,f423]) ).
fof(f4117,plain,
( sK0 = sum(pred(n7),n16)
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4116,f551]) ).
fof(f4116,plain,
( sum(pred(sum(n16,n12)),n16) = sK0
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4115,f55]) ).
fof(f4115,plain,
( sum(pred(sum(n16,succ(n11))),n16) = sK0
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4114,f236]) ).
fof(f4114,plain,
( sum(pred(sum(n16,succ(n11))),sum(n11,n5)) = sK0
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4113,f581]) ).
fof(f4113,plain,
( sK0 = sum(pred(sum(n16,succ(n11))),sum(n11,pred(n6)))
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4112,f324]) ).
fof(f4112,plain,
( sK0 = sum(pred(sum(n16,succ(n11))),sum(n11,pred(sum(n16,n11))))
| ~ spl3_15
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f782]) ).
fof(f4101,plain,
( ~ spl3_13
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4100]) ).
fof(f4100,plain,
( $false
| ~ spl3_13
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4099,f102]) ).
fof(f4099,plain,
( n10 = sK0
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4098,f682]) ).
fof(f4098,plain,
( sum(n2,n8) = sK0
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4097,f480]) ).
fof(f4097,plain,
( sK0 = sum(pred(n3),n8)
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4096,f235]) ).
fof(f4096,plain,
( sK0 = sum(pred(sum(n16,n8)),n8)
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4095,f413]) ).
fof(f4095,plain,
( sum(pred(sum(n16,succ(n7))),n8) = sK0
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4094,f257]) ).
fof(f4094,plain,
( sum(pred(sum(n16,succ(n7))),sum(n7,n1)) = sK0
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4093,f680]) ).
fof(f4093,plain,
( sK0 = sum(pred(sum(n16,succ(n7))),sum(n7,pred(n2)))
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4092,f666]) ).
fof(f4092,plain,
( sum(pred(sum(n16,succ(n7))),sum(n7,pred(sum(n16,n7)))) = sK0
| ~ spl3_13
| ~ spl3_39 ),
inference(backward_demodulation,[],[f4082,f774]) ).
fof(f4075,plain,
( ~ spl3_19
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4074]) ).
fof(f4074,plain,
( $false
| ~ spl3_19
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4073,f637]) ).
fof(f4073,plain,
( n7 = sK0
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4072,f266]) ).
fof(f4072,plain,
( sum(n3,n4) = sK0
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4071,f165]) ).
fof(f4071,plain,
( sK0 = sum(pred(n4),n4)
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4070,f454]) ).
fof(f4070,plain,
( sum(pred(sum(n1,n3)),n4) = sK0
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4069,f537]) ).
fof(f4069,plain,
( sum(pred(sum(n1,n3)),sum(n2,n2)) = sK0
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4068,f480]) ).
fof(f4068,plain,
( sK0 = sum(pred(sum(n1,n3)),sum(n2,pred(n3)))
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4067,f368]) ).
fof(f4067,plain,
( sum(pred(sum(n1,n3)),sum(n2,pred(sum(n1,n2)))) = sK0
| ~ spl3_19
| ~ spl3_32 ),
inference(backward_demodulation,[],[f3791,f851]) ).
fof(f3791,plain,
( sum(pred(sum(sK1,n3)),sum(n2,pred(sum(sK1,n2)))) = sK0
| ~ spl3_19 ),
inference(forward_demodulation,[],[f3779,f560]) ).
fof(f560,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f5]) ).
fof(f3779,plain,
( sK0 = sum(pred(sum(sK1,succ(n2))),sum(n2,pred(sum(sK1,n2))))
| ~ spl3_19 ),
inference(forward_demodulation,[],[f244,f798]) ).
fof(f798,plain,
( n2 = sK2
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl3_19
<=> n2 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f4048,plain,
( ~ spl3_19
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4047]) ).
fof(f4047,plain,
( $false
| ~ spl3_19
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4046,f118]) ).
fof(f4046,plain,
( n16 = sK0
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4045,f296]) ).
fof(f4045,plain,
( sum(n18,n19) = sK0
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4044,f576]) ).
fof(f4044,plain,
( sum(pred(n19),n19) = sK0
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4043,f525]) ).
fof(f4043,plain,
( sum(pred(sum(n16,n3)),n19) = sK0
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4042,f53]) ).
fof(f4042,plain,
( sum(pred(sum(n16,n3)),sum(n2,n17)) = sK0
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4041,f622]) ).
fof(f4041,plain,
( sum(pred(sum(n16,n3)),sum(n2,pred(n18))) = sK0
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4040,f502]) ).
fof(f4040,plain,
( sum(pred(sum(n16,n3)),sum(n2,pred(sum(n16,n2)))) = sK0
| ~ spl3_19
| ~ spl3_39 ),
inference(backward_demodulation,[],[f3791,f879]) ).
fof(f4033,plain,
( ~ spl3_19
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4032]) ).
fof(f4032,plain,
( $false
| ~ spl3_19
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4031,f123]) ).
fof(f4031,plain,
( n9 = sK0
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4030,f555]) ).
fof(f4030,plain,
( sum(n4,n5) = sK0
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4029,f708]) ).
fof(f4029,plain,
( sK0 = sum(pred(n5),n5)
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4028,f625]) ).
fof(f4028,plain,
( sK0 = sum(pred(sum(n2,n3)),sum(n2,n3))
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4027,f165]) ).
fof(f4027,plain,
( sum(pred(sum(n2,n3)),sum(n2,pred(n4))) = sK0
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4026,f537]) ).
fof(f4026,plain,
( sum(pred(sum(n2,n3)),sum(n2,pred(sum(n2,n2)))) = sK0
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3791,f823]) ).
fof(f4011,plain,
( ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f4010]) ).
fof(f4010,plain,
( $false
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f4009,f509]) ).
fof(f4009,plain,
( n2 = sK0
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4008,f380]) ).
fof(f4008,plain,
( sum(n11,n12) = sK0
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4007,f461]) ).
fof(f4007,plain,
( sum(pred(n12),n12) = sK0
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4006,f607]) ).
fof(f4006,plain,
( sum(pred(sum(n9,n3)),n12) = sK0
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4005,f604]) ).
fof(f4005,plain,
( sK0 = sum(pred(sum(n9,n3)),sum(n2,n10))
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4004,f45]) ).
fof(f4004,plain,
( sum(pred(sum(n9,n3)),sum(n2,pred(n11))) = sK0
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4003,f636]) ).
fof(f4003,plain,
( sK0 = sum(pred(sum(n9,n3)),sum(n2,pred(sum(n9,n2))))
| ~ spl3_19
| ~ spl3_22 ),
inference(backward_demodulation,[],[f3791,f811]) ).
fof(f3983,plain,
( ~ spl3_19
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3982]) ).
fof(f3982,plain,
( $false
| ~ spl3_19
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3981,f43]) ).
fof(f3981,plain,
( n13 = sK0
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3980,f621]) ).
fof(f3980,plain,
( sum(n6,n7) = sK0
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3979,f423]) ).
fof(f3979,plain,
( sum(pred(n7),n7) = sK0
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3978,f696]) ).
fof(f3978,plain,
( sum(pred(sum(n4,n3)),n7) = sK0
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3977,f276]) ).
fof(f3977,plain,
( sum(pred(sum(n4,n3)),sum(n2,n5)) = sK0
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3976,f581]) ).
fof(f3976,plain,
( sum(pred(sum(n4,n3)),sum(n2,pred(n6))) = sK0
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3975,f211]) ).
fof(f3975,plain,
( sK0 = sum(pred(sum(n4,n3)),sum(n2,pred(sum(n4,n2))))
| ~ spl3_19
| ~ spl3_26 ),
inference(backward_demodulation,[],[f3791,f827]) ).
fof(f3963,plain,
( ~ spl3_19
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f3962]) ).
fof(f3962,plain,
( $false
| ~ spl3_19
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f3961,f393]) ).
fof(f3961,plain,
( n0 = sK0
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3960,f160]) ).
fof(f160,plain,
n0 = sum(n10,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3960,plain,
( sum(n10,n11) = sK0
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3959,f45]) ).
fof(f3959,plain,
( sK0 = sum(pred(n11),n11)
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3958,f58]) ).
fof(f3958,plain,
( sum(pred(sum(n8,n3)),n11) = sK0
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3957,f281]) ).
fof(f3957,plain,
( sum(pred(sum(n8,n3)),sum(n2,n9)) = sK0
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3956,f231]) ).
fof(f3956,plain,
( sK0 = sum(pred(sum(n8,n3)),sum(n2,pred(n10)))
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3955,f46]) ).
fof(f3955,plain,
( sum(pred(sum(n8,n3)),sum(n2,pred(sum(n8,n2)))) = sK0
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3791,f839]) ).
fof(f3943,plain,
( ~ spl3_19
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f3942]) ).
fof(f3942,plain,
( $false
| ~ spl3_19
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f3941,f307]) ).
fof(f3941,plain,
( n17 = sK0
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3940,f328]) ).
fof(f3940,plain,
( sum(n8,n9) = sK0
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3939,f540]) ).
fof(f3939,plain,
( sK0 = sum(pred(n9),n9)
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3938,f701]) ).
fof(f3938,plain,
( sK0 = sum(pred(sum(n6,n3)),n9)
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3937,f68]) ).
fof(f3937,plain,
( sum(pred(sum(n6,n3)),sum(n2,n7)) = sK0
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3936,f245]) ).
fof(f3936,plain,
( sK0 = sum(pred(sum(n6,n3)),sum(n2,pred(n8)))
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3935,f382]) ).
fof(f3935,plain,
( sum(pred(sum(n6,n3)),sum(n2,pred(sum(n6,n2)))) = sK0
| ~ spl3_19
| ~ spl3_36 ),
inference(backward_demodulation,[],[f3791,f867]) ).
fof(f3919,plain,
( ~ spl3_19
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f3918]) ).
fof(f3918,plain,
( $false
| ~ spl3_19
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f3917,f12]) ).
fof(f3917,plain,
( n11 = sK0
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3916,f129]) ).
fof(f3916,plain,
( sum(n5,n6) = sK0
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3915,f581]) ).
fof(f3915,plain,
( sum(pred(n6),n6) = sK0
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3914,f287]) ).
fof(f3914,plain,
( sK0 = sum(pred(sum(n3,n3)),n6)
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3913,f605]) ).
fof(f3913,plain,
( sum(pred(sum(n3,n3)),sum(n2,n4)) = sK0
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3912,f708]) ).
fof(f3912,plain,
( sum(pred(sum(n3,n3)),sum(n2,pred(n5))) = sK0
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3911,f391]) ).
fof(f3911,plain,
( sum(pred(sum(n3,n3)),sum(n2,pred(sum(n3,n2)))) = sK0
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3791,f891]) ).
fof(f3895,plain,
( ~ spl3_19
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f3894]) ).
fof(f3894,plain,
( $false
| ~ spl3_19
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f3893,f102]) ).
fof(f3893,plain,
( n10 = sK0
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3892,f653]) ).
fof(f3892,plain,
( sum(n15,n16) = sK0
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3891,f387]) ).
fof(f3891,plain,
( sK0 = sum(pred(n16),n16)
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3890,f314]) ).
fof(f3890,plain,
( sum(pred(sum(n13,n3)),n16) = sK0
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3889,f356]) ).
fof(f3889,plain,
( sK0 = sum(pred(sum(n13,n3)),sum(n2,n14))
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3888,f164]) ).
fof(f3888,plain,
( sum(pred(sum(n13,n3)),sum(n2,pred(n15))) = sK0
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3887,f475]) ).
fof(f3887,plain,
( sum(pred(sum(n13,n3)),sum(n2,pred(sum(n13,n2)))) = sK0
| ~ spl3_19
| ~ spl3_38 ),
inference(backward_demodulation,[],[f3791,f875]) ).
fof(f3878,plain,
( ~ spl3_19
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f3877]) ).
fof(f3877,plain,
( $false
| ~ spl3_19
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f3876,f306]) ).
fof(f3876,plain,
( n8 = sK0
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3875,f405]) ).
fof(f405,plain,
n8 = sum(n14,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f3875,plain,
( sum(n14,n15) = sK0
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3874,f164]) ).
fof(f3874,plain,
( sum(pred(n15),n15) = sK0
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3873,f232]) ).
fof(f3873,plain,
( sum(pred(sum(n12,n3)),n15) = sK0
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3872,f463]) ).
fof(f3872,plain,
( sum(pred(sum(n12,n3)),sum(n2,n13)) = sK0
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3871,f278]) ).
fof(f3871,plain,
( sum(pred(sum(n12,n3)),sum(n2,pred(n14))) = sK0
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3870,f303]) ).
fof(f3870,plain,
( sK0 = sum(pred(sum(n12,n3)),sum(n2,pred(sum(n12,n2))))
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3791,f815]) ).
fof(f3862,plain,
( ~ spl3_19
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f3861]) ).
fof(f3861,plain,
( $false
| ~ spl3_19
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f3860,f432]) ).
fof(f3860,plain,
( n6 = sK0
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3859,f184]) ).
fof(f3859,plain,
( sum(n13,n14) = sK0
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3858,f278]) ).
fof(f3858,plain,
( sK0 = sum(pred(n14),n14)
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3857,f365]) ).
fof(f3857,plain,
( sum(pred(sum(n11,n3)),n14) = sK0
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3856,f440]) ).
fof(f3856,plain,
( sum(pred(sum(n11,n3)),sum(n2,n12)) = sK0
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3855,f378]) ).
fof(f3855,plain,
( sum(pred(sum(n11,n3)),sum(n2,pred(n13))) = sK0
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3854,f10]) ).
fof(f3854,plain,
( sum(pred(sum(n11,n3)),sum(n2,pred(sum(n11,n2)))) = sK0
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3791,f887]) ).
fof(f3847,plain,
( ~ spl3_19
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3846]) ).
fof(f3846,plain,
( $false
| ~ spl3_19
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3845,f60]) ).
fof(f3845,plain,
( n1 = sK0
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3844,f484]) ).
fof(f3844,plain,
( sum(n0,n1) = sK0
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3843,f96]) ).
fof(f3843,plain,
( sum(pred(n1),n1) = sK0
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3842,f259]) ).
fof(f3842,plain,
( sum(pred(sum(n19,n3)),n1) = sK0
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3841,f91]) ).
fof(f3841,plain,
( sum(pred(sum(n19,n3)),sum(n2,n20)) = sK0
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3840,f342]) ).
fof(f3840,plain,
( sum(pred(sum(n19,n3)),sum(n2,pred(n0))) = sK0
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3839,f113]) ).
fof(f3839,plain,
( sK0 = sum(pred(sum(n19,n3)),sum(n2,pred(sum(n19,n2))))
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3791,f835]) ).
fof(f3835,plain,
( ~ spl3_19
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f3834]) ).
fof(f3834,plain,
( $false
| ~ spl3_19
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f3833,f140]) ).
fof(f3833,plain,
( n14 = sK0
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3832,f425]) ).
fof(f3832,plain,
( sum(n17,n18) = sK0
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3831,f622]) ).
fof(f3831,plain,
( sum(pred(n18),n18) = sK0
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3830,f665]) ).
fof(f3830,plain,
( sum(pred(sum(n15,n3)),n18) = sK0
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3829,f33]) ).
fof(f3829,plain,
( sum(pred(sum(n15,n3)),sum(n2,n16)) = sK0
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3828,f661]) ).
fof(f3828,plain,
( sK0 = sum(pred(sum(n15,n3)),sum(n2,pred(n17)))
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3827,f106]) ).
fof(f3827,plain,
( sum(pred(sum(n15,n3)),sum(n2,pred(sum(n15,n2)))) = sK0
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3791,f831]) ).
fof(f3823,plain,
( ~ spl3_19
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f3822]) ).
fof(f3822,plain,
( $false
| ~ spl3_19
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f3821,f128]) ).
fof(f3821,plain,
( n15 = sK0
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3820,f158]) ).
fof(f3820,plain,
( sum(n7,n8) = sK0
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3819,f245]) ).
fof(f3819,plain,
( sK0 = sum(pred(n8),n8)
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3818,f146]) ).
fof(f3818,plain,
( sum(pred(sum(n5,n3)),n8) = sK0
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3817,f402]) ).
fof(f3817,plain,
( sum(pred(sum(n5,n3)),sum(n2,n6)) = sK0
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3816,f423]) ).
fof(f3816,plain,
( sum(pred(sum(n5,n3)),sum(n2,pred(n7))) = sK0
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3815,f485]) ).
fof(f3815,plain,
( sum(pred(sum(n5,n3)),sum(n2,pred(sum(n5,n2)))) = sK0
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3791,f883]) ).
fof(f3800,plain,
( ~ spl3_19
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f3799]) ).
fof(f3799,plain,
( $false
| ~ spl3_19
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f3798,f8]) ).
fof(f3798,plain,
( n3 = sK0
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3797,f368]) ).
fof(f3797,plain,
( sum(n1,n2) = sK0
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3796,f680]) ).
fof(f3796,plain,
( sum(pred(n2),n2) = sK0
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3795,f704]) ).
fof(f3795,plain,
( sum(pred(sum(n20,n3)),n2) = sK0
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3794,f63]) ).
fof(f3794,plain,
( sK0 = sum(pred(sum(n20,n3)),sum(n2,n0))
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3793,f96]) ).
fof(f3793,plain,
( sum(pred(sum(n20,n3)),sum(n2,pred(n1))) = sK0
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3792,f513]) ).
fof(f3792,plain,
( sum(pred(sum(n20,n3)),sum(n2,pred(sum(n20,n2)))) = sK0
| ~ spl3_19
| ~ spl3_34 ),
inference(backward_demodulation,[],[f3791,f859]) ).
fof(f3789,plain,
( ~ spl3_19
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3788]) ).
fof(f3788,plain,
( $false
| ~ spl3_19
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3787,f277]) ).
fof(f3787,plain,
( n19 = sK0
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3786,f354]) ).
fof(f3786,plain,
( sum(n9,n10) = sK0
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3785,f231]) ).
fof(f3785,plain,
( sum(pred(n10),n10) = sK0
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3784,f610]) ).
fof(f3784,plain,
( sum(pred(sum(n7,n3)),n10) = sK0
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3783,f560]) ).
fof(f3783,plain,
( sK0 = sum(pred(sum(n7,succ(n2))),n10)
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3782,f682]) ).
fof(f3782,plain,
( sum(pred(sum(n7,succ(n2))),sum(n2,n8)) = sK0
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3781,f540]) ).
fof(f3781,plain,
( sK0 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(n9)))
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3780,f618]) ).
fof(f3780,plain,
( sK0 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(sum(n7,n2))))
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3779,f819]) ).
fof(f3766,plain,
( ~ spl3_19
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3765]) ).
fof(f3765,plain,
( $false
| ~ spl3_19
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3764,f663]) ).
fof(f3764,plain,
( n20 = sK0
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3763,f334]) ).
fof(f3763,plain,
( sum(n20,n0) = sK0
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3762,f342]) ).
fof(f3762,plain,
( sK0 = sum(pred(n0),n0)
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3761,f172]) ).
fof(f3761,plain,
( sum(pred(sum(n18,n3)),n0) = sK0
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3760,f560]) ).
fof(f3760,plain,
( sum(pred(sum(n18,succ(n2))),n0) = sK0
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3759,f191]) ).
fof(f3759,plain,
( sum(pred(sum(n18,succ(n2))),sum(n2,n19)) = sK0
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3758,f148]) ).
fof(f3758,plain,
( sum(pred(sum(n18,succ(n2))),sum(n2,pred(n20))) = sK0
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3757,f97]) ).
fof(f3757,plain,
( sum(pred(sum(n18,succ(n2))),sum(n2,pred(sum(n18,n2)))) = sK0
| ~ spl3_19
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3738,f798]) ).
fof(f3738,plain,
( sum(pred(sum(n18,succ(sK2))),sum(sK2,pred(sum(n18,sK2)))) = sK0
| ~ spl3_30 ),
inference(backward_demodulation,[],[f244,f843]) ).
fof(f3737,plain,
( ~ spl3_14
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3736]) ).
fof(f3736,plain,
( $false
| ~ spl3_14
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3735,f43]) ).
fof(f3735,plain,
( n13 = sK0
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3734,f197]) ).
fof(f3734,plain,
( sum(n1,n12) = sK0
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3733,f680]) ).
fof(f3733,plain,
( sum(pred(n2),n12) = sK0
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3732,f585]) ).
fof(f585,plain,
n2 = sum(n10,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3732,plain,
( sum(pred(sum(n10,n13)),n12) = sK0
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3731,f322]) ).
fof(f3731,plain,
( sum(pred(sum(n10,succ(n12))),n12) = sK0
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3730,f435]) ).
fof(f3730,plain,
( sum(pred(sum(n10,succ(n12))),sum(n12,n0)) = sK0
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3729,f96]) ).
fof(f3729,plain,
( sK0 = sum(pred(sum(n10,succ(n12))),sum(n12,pred(n1)))
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3728,f203]) ).
fof(f3728,plain,
( sum(pred(sum(n10,succ(n12))),sum(n12,pred(sum(n10,n12)))) = sK0
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f778]) ).
fof(f3428,plain,
( sK0 = sum(pred(sum(n10,succ(sK2))),sum(sK2,pred(sum(n10,sK2))))
| ~ spl3_37 ),
inference(forward_demodulation,[],[f244,f871]) ).
fof(f871,plain,
( n10 = sK1
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f869,plain,
( spl3_37
<=> n10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f3716,plain,
( ~ spl3_9
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3715]) ).
fof(f3715,plain,
( $false
| ~ spl3_9
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3714,f60]) ).
fof(f3714,plain,
( n1 = sK0
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3713,f649]) ).
fof(f3713,plain,
( sum(n11,n11) = sK0
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3712,f461]) ).
fof(f3712,plain,
( sum(pred(n12),n11) = sK0
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3711,f631]) ).
fof(f631,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3711,plain,
( sK0 = sum(pred(sum(n10,n2)),n11)
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3710,f20]) ).
fof(f3710,plain,
( sum(pred(sum(n10,succ(n1))),n11) = sK0
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3709,f394]) ).
fof(f3709,plain,
( sum(pred(sum(n10,succ(n1))),sum(n1,n10)) = sK0
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3708,f45]) ).
fof(f3708,plain,
( sum(pred(sum(n10,succ(n1))),sum(n1,pred(n11))) = sK0
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3707,f29]) ).
fof(f3707,plain,
( sK0 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(sum(n10,n1))))
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f758]) ).
fof(f3689,plain,
( ~ spl3_6
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3688]) ).
fof(f3688,plain,
( $false
| ~ spl3_6
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3687,f277]) ).
fof(f3687,plain,
( n19 = sK0
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3686,f514]) ).
fof(f514,plain,
n19 = sum(n10,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f3686,plain,
( sum(n10,n9) = sK0
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3685,f45]) ).
fof(f3685,plain,
( sum(pred(n11),n9) = sK0
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3684,f29]) ).
fof(f3684,plain,
( sum(pred(sum(n10,n1)),n9) = sK0
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3683,f543]) ).
fof(f3683,plain,
( sum(pred(sum(n10,succ(n0))),n9) = sK0
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3682,f311]) ).
fof(f311,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f3682,plain,
( sK0 = sum(pred(sum(n10,succ(n0))),sum(n0,n9))
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3681,f231]) ).
fof(f3681,plain,
( sum(pred(sum(n10,succ(n0))),sum(n0,pred(n10))) = sK0
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3680,f489]) ).
fof(f3680,plain,
( sK0 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(sum(n10,n0))))
| ~ spl3_6
| ~ spl3_37 ),
inference(backward_demodulation,[],[f3428,f746]) ).
fof(f3660,plain,
( ~ spl3_12
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3659]) ).
fof(f3659,plain,
( $false
| ~ spl3_12
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3658,f43]) ).
fof(f3658,plain,
( n13 = sK0
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3657,f404]) ).
fof(f3657,plain,
( sum(n8,n5) = sK0
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3656,f540]) ).
fof(f3656,plain,
( sum(pred(n9),n5) = sK0
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3655,f460]) ).
fof(f3655,plain,
( sum(pred(sum(n10,n20)),n5) = sK0
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3654,f249]) ).
fof(f3654,plain,
( sum(pred(sum(n10,succ(n19))),n5) = sK0
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3653,f212]) ).
fof(f3653,plain,
( sum(pred(sum(n10,succ(n19))),sum(n19,n7)) = sK0
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3652,f245]) ).
fof(f3652,plain,
( sum(pred(sum(n10,succ(n19))),sum(n19,pred(n8))) = sK0
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3651,f241]) ).
fof(f241,plain,
n8 = sum(n10,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f3651,plain,
( sK0 = sum(pred(sum(n10,succ(n19))),sum(n19,pred(sum(n10,n19))))
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f770]) ).
fof(f3646,plain,
( ~ spl3_3
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3645]) ).
fof(f3645,plain,
( $false
| ~ spl3_3
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3644,f60]) ).
fof(f3644,plain,
( n1 = sK0
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3643,f112]) ).
fof(f3643,plain,
( sum(n4,n18) = sK0
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3642,f708]) ).
fof(f3642,plain,
( sum(pred(n5),n18) = sK0
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3641,f323]) ).
fof(f3641,plain,
( sK0 = sum(pred(sum(n10,n16)),n18)
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3640,f109]) ).
fof(f3640,plain,
( sK0 = sum(pred(sum(n10,succ(n15))),n18)
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3639,f665]) ).
fof(f3639,plain,
( sK0 = sum(pred(sum(n10,succ(n15))),sum(n15,n3))
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3638,f165]) ).
fof(f3638,plain,
( sum(pred(sum(n10,succ(n15))),sum(n15,pred(n4))) = sK0
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3637,f279]) ).
fof(f3637,plain,
( sK0 = sum(pred(sum(n10,succ(n15))),sum(n15,pred(sum(n10,n15))))
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f734]) ).
fof(f3633,plain,
( ~ spl3_4
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3632]) ).
fof(f3632,plain,
( $false
| ~ spl3_4
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3631,f637]) ).
fof(f3631,plain,
( n7 = sK0
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3630,f25]) ).
fof(f3630,plain,
( sum(n6,n1) = sK0
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3629,f423]) ).
fof(f3629,plain,
( sum(pred(n7),n1) = sK0
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3628,f24]) ).
fof(f3628,plain,
( sum(pred(sum(n10,n18)),n1) = sK0
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3627,f363]) ).
fof(f3627,plain,
( sum(pred(sum(n10,succ(n17))),n1) = sK0
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3626,f693]) ).
fof(f693,plain,
n1 = sum(n17,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3626,plain,
( sK0 = sum(pred(sum(n10,succ(n17))),sum(n17,n5))
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3625,f581]) ).
fof(f3625,plain,
( sum(pred(sum(n10,succ(n17))),sum(n17,pred(n6))) = sK0
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3624,f442]) ).
fof(f3624,plain,
( sum(pred(sum(n10,succ(n17))),sum(n17,pred(sum(n10,n17)))) = sK0
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f738]) ).
fof(f3611,plain,
( ~ spl3_19
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3610]) ).
fof(f3610,plain,
( $false
| ~ spl3_19
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3609,f453]) ).
fof(f3609,plain,
( n4 = sK0
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3608,f431]) ).
fof(f3608,plain,
( sum(n12,n13) = sK0
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3607,f378]) ).
fof(f3607,plain,
( sum(pred(n13),n13) = sK0
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3606,f192]) ).
fof(f3606,plain,
( sK0 = sum(pred(sum(n10,n3)),n13)
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3605,f560]) ).
fof(f3605,plain,
( sK0 = sum(pred(sum(n10,succ(n2))),n13)
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3604,f223]) ).
fof(f3604,plain,
( sK0 = sum(pred(sum(n10,succ(n2))),sum(n2,n11))
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3603,f461]) ).
fof(f3603,plain,
( sum(pred(sum(n10,succ(n2))),sum(n2,pred(n12))) = sK0
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3602,f631]) ).
fof(f3602,plain,
( sum(pred(sum(n10,succ(n2))),sum(n2,pred(sum(n10,n2)))) = sK0
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f798]) ).
fof(f3588,plain,
( ~ spl3_5
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3587]) ).
fof(f3587,plain,
( $false
| ~ spl3_5
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3586,f118]) ).
fof(f3586,plain,
( n16 = sK0
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3585,f398]) ).
fof(f3585,plain,
( sum(n16,n0) = sK0
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3584,f661]) ).
fof(f3584,plain,
( sum(pred(n17),n0) = sK0
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3583,f289]) ).
fof(f3583,plain,
( sum(pred(sum(n10,n7)),n0) = sK0
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3582,f137]) ).
fof(f3582,plain,
( sum(pred(sum(n10,succ(n6))),n0) = sK0
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3581,f262]) ).
fof(f3581,plain,
( sK0 = sum(pred(sum(n10,succ(n6))),sum(n6,n15))
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3580,f387]) ).
fof(f3580,plain,
( sum(pred(sum(n10,succ(n6))),sum(n6,pred(n16))) = sK0
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3579,f408]) ).
fof(f3579,plain,
( sum(pred(sum(n10,succ(n6))),sum(n6,pred(sum(n10,n6)))) = sK0
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f742]) ).
fof(f3565,plain,
( ~ spl3_13
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3564]) ).
fof(f3564,plain,
( $false
| ~ spl3_13
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3563,f277]) ).
fof(f3563,plain,
( n19 = sK0
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3562,f187]) ).
fof(f3562,plain,
( sum(n17,n2) = sK0
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3561,f622]) ).
fof(f3561,plain,
( sum(pred(n18),n2) = sK0
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3560,f658]) ).
fof(f3560,plain,
( sum(pred(sum(n10,n8)),n2) = sK0
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3559,f413]) ).
fof(f3559,plain,
( sum(pred(sum(n10,succ(n7))),n2) = sK0
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3558,f550]) ).
fof(f3558,plain,
( sK0 = sum(pred(sum(n10,succ(n7))),sum(n7,n16))
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3557,f661]) ).
fof(f3557,plain,
( sum(pred(sum(n10,succ(n7))),sum(n7,pred(n17))) = sK0
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3556,f289]) ).
fof(f3556,plain,
( sum(pred(sum(n10,succ(n7))),sum(n7,pred(sum(n10,n7)))) = sK0
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f774]) ).
fof(f3545,plain,
( ~ spl3_21
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3544]) ).
fof(f3544,plain,
( $false
| ~ spl3_21
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3543,f118]) ).
fof(f3543,plain,
( n16 = sK0
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3542,f356]) ).
fof(f3542,plain,
( sum(n2,n14) = sK0
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3541,f480]) ).
fof(f3541,plain,
( sum(pred(n3),n14) = sK0
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3540,f416]) ).
fof(f3540,plain,
( sK0 = sum(pred(sum(n10,n14)),n14)
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3539,f697]) ).
fof(f3539,plain,
( sum(pred(sum(n10,succ(n13))),n14) = sK0
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3538,f575]) ).
fof(f3538,plain,
( sum(pred(sum(n10,succ(n13))),sum(n13,n1)) = sK0
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3537,f680]) ).
fof(f3537,plain,
( sum(pred(sum(n10,succ(n13))),sum(n13,pred(n2))) = sK0
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3536,f585]) ).
fof(f3536,plain,
( sum(pred(sum(n10,succ(n13))),sum(n13,pred(sum(n10,n13)))) = sK0
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f806]) ).
fof(f3529,plain,
( ~ spl3_8
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3528]) ).
fof(f3528,plain,
( $false
| ~ spl3_8
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3527,f60]) ).
fof(f3527,plain,
( n1 = sK0
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3526,f93]) ).
fof(f3526,plain,
( sum(n18,n4) = sK0
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3525,f576]) ).
fof(f3525,plain,
( sK0 = sum(pred(n19),n4)
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3524,f514]) ).
fof(f3524,plain,
( sK0 = sum(pred(sum(n10,n9)),n4)
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3523,f505]) ).
fof(f3523,plain,
( sum(pred(sum(n10,succ(n8))),n4) = sK0
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3522,f360]) ).
fof(f3522,plain,
( sK0 = sum(pred(sum(n10,succ(n8))),sum(n8,n17))
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3521,f622]) ).
fof(f3521,plain,
( sK0 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(n18)))
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3520,f658]) ).
fof(f3520,plain,
( sum(pred(sum(n10,succ(n8))),sum(n8,pred(sum(n10,n8)))) = sK0
| ~ spl3_8
| ~ spl3_37 ),
inference(backward_demodulation,[],[f3428,f754]) ).
fof(f3506,plain,
( ~ spl3_1
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3505]) ).
fof(f3505,plain,
( $false
| ~ spl3_1
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3504,f102]) ).
fof(f3504,plain,
( n10 = sK0
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3503,f610]) ).
fof(f3503,plain,
( sum(n7,n3) = sK0
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3502,f245]) ).
fof(f3502,plain,
( sum(pred(n8),n3) = sK0
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3501,f241]) ).
fof(f3501,plain,
( sum(pred(sum(n10,n19)),n3) = sK0
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3500,f569]) ).
fof(f3500,plain,
( sum(pred(sum(n10,succ(n18))),n3) = sK0
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3499,f711]) ).
fof(f3499,plain,
( sum(pred(sum(n10,succ(n18))),sum(n18,n6)) = sK0
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3498,f423]) ).
fof(f3498,plain,
( sum(pred(sum(n10,succ(n18))),sum(n18,pred(n7))) = sK0
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3497,f24]) ).
fof(f3497,plain,
( sum(pred(sum(n10,succ(n18))),sum(n18,pred(sum(n10,n18)))) = sK0
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f726]) ).
fof(f3495,plain,
( ~ spl3_10
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3494]) ).
fof(f3494,plain,
( $false
| ~ spl3_10
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3493,f453]) ).
fof(f3493,plain,
( n4 = sK0
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3492,f490]) ).
fof(f3492,plain,
( sum(n19,n6) = sK0
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3491,f148]) ).
fof(f3491,plain,
( sum(pred(n20),n6) = sK0
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3490,f472]) ).
fof(f3490,plain,
( sK0 = sum(pred(sum(n10,n10)),n6)
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3489,f389]) ).
fof(f3489,plain,
( sum(pred(sum(n10,succ(n9))),n6) = sK0
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3488,f567]) ).
fof(f3488,plain,
( sum(pred(sum(n10,succ(n9))),sum(n9,n18)) = sK0
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3487,f576]) ).
fof(f3487,plain,
( sum(pred(sum(n10,succ(n9))),sum(n9,pred(n19))) = sK0
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3486,f514]) ).
fof(f3486,plain,
( sum(pred(sum(n10,succ(n9))),sum(n9,pred(sum(n10,n9)))) = sK0
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f762]) ).
fof(f3467,plain,
( ~ spl3_20
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3466]) ).
fof(f3466,plain,
( $false
| ~ spl3_20
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3465,f637]) ).
fof(f3465,plain,
( n7 = sK0
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3464,f186]) ).
fof(f3464,plain,
( sum(n13,n15) = sK0
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3463,f278]) ).
fof(f3463,plain,
( sum(pred(n14),n15) = sK0
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3462,f702]) ).
fof(f702,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3462,plain,
( sK0 = sum(pred(sum(n10,n4)),n15)
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3461,f141]) ).
fof(f3461,plain,
( sum(pred(sum(n10,succ(n3))),n15) = sK0
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3460,f346]) ).
fof(f3460,plain,
( sum(pred(sum(n10,succ(n3))),sum(n3,n12)) = sK0
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3459,f378]) ).
fof(f3459,plain,
( sK0 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(n13)))
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3458,f192]) ).
fof(f3458,plain,
( sum(pred(sum(n10,succ(n3))),sum(n3,pred(sum(n10,n3)))) = sK0
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3428,f802]) ).
fof(f3447,plain,
( ~ spl3_15
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3446]) ).
fof(f3446,plain,
( $false
| ~ spl3_15
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3445,f102]) ).
fof(f3445,plain,
( n10 = sK0
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3444,f409]) ).
fof(f3444,plain,
( sum(n0,n10) = sK0
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3443,f96]) ).
fof(f3443,plain,
( sum(pred(n1),n10) = sK0
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3442,f203]) ).
fof(f3442,plain,
( sK0 = sum(pred(sum(n10,n12)),n10)
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3441,f55]) ).
fof(f3441,plain,
( sum(pred(sum(n10,succ(n11))),n10) = sK0
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3440,f265]) ).
fof(f3440,plain,
( sum(pred(sum(n10,succ(n11))),sum(n11,n20)) = sK0
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3439,f342]) ).
fof(f3439,plain,
( sK0 = sum(pred(sum(n10,succ(n11))),sum(n11,pred(n0)))
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3438,f160]) ).
fof(f3438,plain,
( sK0 = sum(pred(sum(n10,succ(n11))),sum(n11,pred(sum(n10,n11))))
| ~ spl3_15
| ~ spl3_37 ),
inference(backward_demodulation,[],[f3428,f782]) ).
fof(f3427,plain,
( ~ spl3_11
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3426]) ).
fof(f3426,plain,
( $false
| ~ spl3_11
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3425,f43]) ).
fof(f3425,plain,
( n13 = sK0
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3424,f400]) ).
fof(f3424,plain,
( sum(n15,n19) = sK0
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3423,f387]) ).
fof(f3423,plain,
( sum(pred(n16),n19) = sK0
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3422,f408]) ).
fof(f3422,plain,
( sum(pred(sum(n10,n6)),n19) = sK0
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3421,f420]) ).
fof(f3421,plain,
( sK0 = sum(pred(sum(n10,succ(n5))),n19)
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3420,f364]) ).
fof(f3420,plain,
( sum(pred(sum(n10,succ(n5))),sum(n5,n14)) = sK0
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3419,f164]) ).
fof(f3419,plain,
( sum(pred(sum(n10,succ(n5))),sum(n5,pred(n15))) = sK0
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3418,f524]) ).
fof(f524,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3418,plain,
( sum(pred(sum(n10,succ(n5))),sum(n5,pred(sum(n10,n5)))) = sK0
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3417,f871]) ).
fof(f3417,plain,
( sum(pred(sum(sK1,succ(n5))),sum(n5,pred(sum(sK1,n5)))) = sK0
| ~ spl3_11 ),
inference(forward_demodulation,[],[f244,f766]) ).
fof(f3398,plain,
( ~ spl3_7
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3397]) ).
fof(f3397,plain,
( $false
| ~ spl3_7
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3396,f118]) ).
fof(f3396,plain,
( n16 = sK0
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3395,f343]) ).
fof(f3395,plain,
( sum(n9,n7) = sK0
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3394,f231]) ).
fof(f3394,plain,
( sum(pred(n10),n7) = sK0
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3393,f489]) ).
fof(f3393,plain,
( sum(pred(sum(n10,n0)),n7) = sK0
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3392,f370]) ).
fof(f3392,plain,
( sum(pred(sum(n10,succ(n20))),n7) = sK0
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3391,f714]) ).
fof(f3391,plain,
( sK0 = sum(pred(sum(n10,succ(n20))),sum(n20,n8))
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3390,f540]) ).
fof(f3390,plain,
( sum(pred(sum(n10,succ(n20))),sum(n20,pred(n9))) = sK0
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3389,f460]) ).
fof(f3389,plain,
( sK0 = sum(pred(sum(n10,succ(n20))),sum(n20,pred(sum(n10,n20))))
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3388,f871]) ).
fof(f3388,plain,
( sK0 = sum(pred(sum(sK1,succ(n20))),sum(n20,pred(sum(sK1,n20))))
| ~ spl3_7 ),
inference(forward_demodulation,[],[f244,f750]) ).
fof(f3378,plain,
( ~ spl3_18
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f3377]) ).
fof(f3377,plain,
( $false
| ~ spl3_18
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f3376,f118]) ).
fof(f3376,plain,
( n16 = sK0
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3375,f629]) ).
fof(f3375,plain,
( sum(n17,n20) = sK0
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3374,f622]) ).
fof(f3374,plain,
( sK0 = sum(pred(n18),n20)
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3373,f95]) ).
fof(f3373,plain,
( sK0 = sum(pred(sum(n13,n5)),n20)
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3372,f535]) ).
fof(f3372,plain,
( sum(pred(sum(n13,n5)),sum(n4,n16)) = sK0
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3371,f661]) ).
fof(f3371,plain,
( sK0 = sum(pred(sum(n13,n5)),sum(n4,pred(n17)))
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3370,f228]) ).
fof(f3370,plain,
( sum(pred(sum(n13,n5)),sum(n4,pred(sum(n13,n4)))) = sK0
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3040,f875]) ).
fof(f3040,plain,
( sK0 = sum(pred(sum(sK1,n5)),sum(n4,pred(sum(sK1,n4))))
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3029,f72]) ).
fof(f72,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f5]) ).
fof(f3029,plain,
( sum(pred(sum(sK1,succ(n4))),sum(n4,pred(sum(sK1,n4)))) = sK0
| ~ spl3_18 ),
inference(backward_demodulation,[],[f244,f794]) ).
fof(f794,plain,
( n4 = sK2
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl3_18
<=> n4 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f3363,plain,
( ~ spl3_18
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f3362]) ).
fof(f3362,plain,
( $false
| ~ spl3_18
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f3361,f140]) ).
fof(f3361,plain,
( n14 = sK0
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3360,f570]) ).
fof(f3360,plain,
( sum(n16,n19) = sK0
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3359,f661]) ).
fof(f3359,plain,
( sum(pred(n17),n19) = sK0
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3358,f531]) ).
fof(f3358,plain,
( sum(pred(sum(n12,n5)),n19) = sK0
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3357,f620]) ).
fof(f3357,plain,
( sum(pred(sum(n12,n5)),sum(n4,n15)) = sK0
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3356,f387]) ).
fof(f3356,plain,
( sum(pred(sum(n12,n5)),sum(n4,pred(n16))) = sK0
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3355,f28]) ).
fof(f3355,plain,
( sum(pred(sum(n12,n5)),sum(n4,pred(sum(n12,n4)))) = sK0
| ~ spl3_18
| ~ spl3_23 ),
inference(backward_demodulation,[],[f3040,f815]) ).
fof(f3341,plain,
( ~ spl3_18
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f3340]) ).
fof(f3340,plain,
( $false
| ~ spl3_18
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f3339,f128]) ).
fof(f3339,plain,
( n15 = sK0
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3338,f516]) ).
fof(f3338,plain,
( sum(n6,n9) = sK0
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3337,f423]) ).
fof(f3337,plain,
( sK0 = sum(pred(n7),n9)
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3336,f276]) ).
fof(f3336,plain,
( sum(pred(sum(n2,n5)),n9) = sK0
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3335,f555]) ).
fof(f3335,plain,
( sK0 = sum(pred(sum(n2,n5)),sum(n4,n5))
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3334,f581]) ).
fof(f3334,plain,
( sK0 = sum(pred(sum(n2,n5)),sum(n4,pred(n6)))
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3333,f605]) ).
fof(f3333,plain,
( sum(pred(sum(n2,n5)),sum(n4,pred(sum(n2,n4)))) = sK0
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3040,f823]) ).
fof(f3319,plain,
( ~ spl3_18
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3318]) ).
fof(f3318,plain,
( $false
| ~ spl3_18
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3317,f102]) ).
fof(f3317,plain,
( n10 = sK0
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3316,f684]) ).
fof(f684,plain,
n10 = sum(n14,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f3316,plain,
( sum(n14,n17) = sK0
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3315,f164]) ).
fof(f3315,plain,
( sum(pred(n15),n17) = sK0
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3314,f524]) ).
fof(f3314,plain,
( sum(pred(sum(n10,n5)),n17) = sK0
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3313,f256]) ).
fof(f3313,plain,
( sum(pred(sum(n10,n5)),sum(n4,n13)) = sK0
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3312,f278]) ).
fof(f3312,plain,
( sK0 = sum(pred(sum(n10,n5)),sum(n4,pred(n14)))
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3311,f702]) ).
fof(f3311,plain,
( sum(pred(sum(n10,n5)),sum(n4,pred(sum(n10,n4)))) = sK0
| ~ spl3_18
| ~ spl3_37 ),
inference(backward_demodulation,[],[f3040,f871]) ).
fof(f3301,plain,
( ~ spl3_18
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f3300]) ).
fof(f3300,plain,
( $false
| ~ spl3_18
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f3299,f307]) ).
fof(f3299,plain,
( n17 = sK0
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3298,f430]) ).
fof(f3298,plain,
( sum(n7,n10) = sK0
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3297,f245]) ).
fof(f3297,plain,
( sK0 = sum(pred(n8),n10)
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3296,f395]) ).
fof(f3296,plain,
( sK0 = sum(pred(sum(n3,n5)),n10)
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3295,f527]) ).
fof(f3295,plain,
( sK0 = sum(pred(sum(n3,n5)),sum(n4,n6))
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3294,f423]) ).
fof(f3294,plain,
( sK0 = sum(pred(sum(n3,n5)),sum(n4,pred(n7)))
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f3293,f266]) ).
fof(f3293,plain,
( sK0 = sum(pred(sum(n3,n5)),sum(n4,pred(sum(n3,n4))))
| ~ spl3_18
| ~ spl3_42 ),
inference(backward_demodulation,[],[f3040,f891]) ).
fof(f3270,plain,
( ~ spl3_18
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f3269]) ).
fof(f3269,plain,
( $false
| ~ spl3_18
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f3268,f306]) ).
fof(f3268,plain,
( n8 = sK0
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3267,f222]) ).
fof(f3267,plain,
( sum(n13,n16) = sK0
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3266,f278]) ).
fof(f3266,plain,
( sum(pred(n14),n16) = sK0
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3265,f417]) ).
fof(f3265,plain,
( sum(pred(sum(n9,n5)),n16) = sK0
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3264,f83]) ).
fof(f3264,plain,
( sK0 = sum(pred(sum(n9,n5)),sum(n4,n12))
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3263,f378]) ).
fof(f3263,plain,
( sum(pred(sum(n9,n5)),sum(n4,pred(n13))) = sK0
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3262,f126]) ).
fof(f3262,plain,
( sK0 = sum(pred(sum(n9,n5)),sum(n4,pred(sum(n9,n4))))
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3040,f811]) ).
fof(f3255,plain,
( ~ spl3_18
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f3254]) ).
fof(f3254,plain,
( $false
| ~ spl3_18
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f3253,f44]) ).
fof(f3253,plain,
( n12 = sK0
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3252,f396]) ).
fof(f3252,plain,
( sum(n15,n18) = sK0
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3251,f387]) ).
fof(f3251,plain,
( sum(pred(n16),n18) = sK0
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3250,f236]) ).
fof(f3250,plain,
( sum(pred(sum(n11,n5)),n18) = sK0
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3249,f108]) ).
fof(f3249,plain,
( sK0 = sum(pred(sum(n11,n5)),sum(n4,n14))
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3248,f164]) ).
fof(f3248,plain,
( sum(pred(sum(n11,n5)),sum(n4,pred(n15))) = sK0
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3247,f603]) ).
fof(f3247,plain,
( sK0 = sum(pred(sum(n11,n5)),sum(n4,pred(sum(n11,n4))))
| ~ spl3_18
| ~ spl3_41 ),
inference(backward_demodulation,[],[f3040,f887]) ).
fof(f3239,plain,
( ~ spl3_18
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f3238]) ).
fof(f3238,plain,
( $false
| ~ spl3_18
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f3237,f43]) ).
fof(f3237,plain,
( n13 = sK0
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3236,f205]) ).
fof(f3236,plain,
( sum(n5,n8) = sK0
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3235,f581]) ).
fof(f3235,plain,
( sum(pred(n6),n8) = sK0
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3234,f655]) ).
fof(f3234,plain,
( sum(pred(sum(n1,n5)),n8) = sK0
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3233,f612]) ).
fof(f3233,plain,
( sum(pred(sum(n1,n5)),sum(n4,n4)) = sK0
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3232,f708]) ).
fof(f3232,plain,
( sK0 = sum(pred(sum(n1,n5)),sum(n4,pred(n5)))
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3231,f450]) ).
fof(f3231,plain,
( sK0 = sum(pred(sum(n1,n5)),sum(n4,pred(sum(n1,n4))))
| ~ spl3_18
| ~ spl3_32 ),
inference(backward_demodulation,[],[f3040,f851]) ).
fof(f3213,plain,
( ~ spl3_18
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f3212]) ).
fof(f3212,plain,
( $false
| ~ spl3_18
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f3211,f123]) ).
fof(f3211,plain,
( n9 = sK0
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3210,f712]) ).
fof(f3210,plain,
( sum(n3,n6) = sK0
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3209,f165]) ).
fof(f3209,plain,
( sum(pred(n4),n6) = sK0
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3208,f438]) ).
fof(f3208,plain,
( sum(pred(sum(n20,n5)),n6) = sK0
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3207,f211]) ).
fof(f3207,plain,
( sK0 = sum(pred(sum(n20,n5)),sum(n4,n2))
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3206,f480]) ).
fof(f3206,plain,
( sum(pred(sum(n20,n5)),sum(n4,pred(n3))) = sK0
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3205,f162]) ).
fof(f3205,plain,
( sum(pred(sum(n20,n5)),sum(n4,pred(sum(n20,n4)))) = sK0
| ~ spl3_18
| ~ spl3_34 ),
inference(backward_demodulation,[],[f3040,f859]) ).
fof(f3196,plain,
( ~ spl3_18
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f3195]) ).
fof(f3195,plain,
( $false
| ~ spl3_18
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f3194,f509]) ).
fof(f3194,plain,
( n2 = sK0
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3193,f585]) ).
fof(f3193,plain,
( sum(n10,n13) = sK0
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3192,f45]) ).
fof(f3192,plain,
( sK0 = sum(pred(n11),n13)
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3191,f546]) ).
fof(f3191,plain,
( sK0 = sum(pred(sum(n6,n5)),n13)
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3190,f42]) ).
fof(f3190,plain,
( sum(pred(sum(n6,n5)),sum(n4,n9)) = sK0
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3189,f231]) ).
fof(f3189,plain,
( sum(pred(sum(n6,n5)),sum(n4,pred(n10))) = sK0
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3188,f694]) ).
fof(f3188,plain,
( sum(pred(sum(n6,n5)),sum(n4,pred(sum(n6,n4)))) = sK0
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3040,f867]) ).
fof(f3179,plain,
( ~ spl3_18
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f3178]) ).
fof(f3178,plain,
( $false
| ~ spl3_18
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f3177,f393]) ).
fof(f3177,plain,
( n0 = sK0
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3176,f399]) ).
fof(f3176,plain,
( sum(n9,n12) = sK0
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3175,f231]) ).
fof(f3175,plain,
( sum(pred(n10),n12) = sK0
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3174,f315]) ).
fof(f3174,plain,
( sum(pred(sum(n5,n5)),n12) = sK0
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3173,f15]) ).
fof(f3173,plain,
( sum(pred(sum(n5,n5)),sum(n4,n8)) = sK0
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3172,f540]) ).
fof(f3172,plain,
( sum(pred(sum(n5,n5)),sum(n4,pred(n9))) = sK0
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3171,f59]) ).
fof(f3171,plain,
( sum(pred(sum(n5,n5)),sum(n4,pred(sum(n5,n4)))) = sK0
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3040,f883]) ).
fof(f3158,plain,
( ~ spl3_18
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f3157]) ).
fof(f3157,plain,
( $false
| ~ spl3_18
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f3156,f663]) ).
fof(f3156,plain,
( n20 = sK0
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3155,f194]) ).
fof(f3155,plain,
( sum(n19,n1) = sK0
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3154,f148]) ).
fof(f3154,plain,
( sum(pred(n20),n1) = sK0
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3153,f638]) ).
fof(f3153,plain,
( sK0 = sum(pred(sum(n15,n5)),n1)
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3152,f112]) ).
fof(f3152,plain,
( sK0 = sum(pred(sum(n15,n5)),sum(n4,n18))
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3151,f576]) ).
fof(f3151,plain,
( sum(pred(sum(n15,n5)),sum(n4,pred(n19))) = sK0
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3150,f246]) ).
fof(f3150,plain,
( sK0 = sum(pred(sum(n15,n5)),sum(n4,pred(sum(n15,n4))))
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3040,f831]) ).
fof(f3145,plain,
( ~ spl3_18
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3144]) ).
fof(f3144,plain,
( $false
| ~ spl3_18
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3143,f453]) ).
fof(f3143,plain,
( n4 = sK0
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3142,f541]) ).
fof(f3142,plain,
( sum(n11,n14) = sK0
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3141,f461]) ).
fof(f3141,plain,
( sum(pred(n12),n14) = sK0
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3140,f282]) ).
fof(f3140,plain,
( sum(pred(sum(n7,n5)),n14) = sK0
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3139,f193]) ).
fof(f3139,plain,
( sum(pred(sum(n7,n5)),sum(n4,n10)) = sK0
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3138,f45]) ).
fof(f3138,plain,
( sum(pred(sum(n7,n5)),sum(n4,pred(n11))) = sK0
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3137,f465]) ).
fof(f3137,plain,
( sum(pred(sum(n7,n5)),sum(n4,pred(sum(n7,n4)))) = sK0
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3040,f819]) ).
fof(f3123,plain,
( ~ spl3_18
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f3122]) ).
fof(f3122,plain,
( $false
| ~ spl3_18
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f3121,f60]) ).
fof(f3121,plain,
( n1 = sK0
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3120,f513]) ).
fof(f3120,plain,
( sum(n20,n2) = sK0
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3119,f342]) ).
fof(f3119,plain,
( sum(pred(n0),n2) = sK0
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3118,f308]) ).
fof(f3118,plain,
( sK0 = sum(pred(sum(n16,n5)),n2)
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3117,f56]) ).
fof(f3117,plain,
( sK0 = sum(pred(sum(n16,n5)),sum(n4,n19))
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3116,f148]) ).
fof(f3116,plain,
( sum(pred(sum(n16,n5)),sum(n4,pred(n20))) = sK0
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3115,f592]) ).
fof(f3115,plain,
( sum(pred(sum(n16,n5)),sum(n4,pred(sum(n16,n4)))) = sK0
| ~ spl3_18
| ~ spl3_39 ),
inference(backward_demodulation,[],[f3040,f879]) ).
fof(f3110,plain,
( ~ spl3_18
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3109]) ).
fof(f3109,plain,
( $false
| ~ spl3_18
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3108,f637]) ).
fof(f3108,plain,
( n7 = sK0
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3107,f276]) ).
fof(f3107,plain,
( sum(n2,n5) = sK0
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3106,f480]) ).
fof(f3106,plain,
( sum(pred(n3),n5) = sK0
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3105,f293]) ).
fof(f3105,plain,
( sum(pred(sum(n19,n5)),n5) = sK0
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3104,f422]) ).
fof(f3104,plain,
( sum(pred(sum(n19,n5)),sum(n4,n1)) = sK0
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3103,f680]) ).
fof(f3103,plain,
( sum(pred(sum(n19,n5)),sum(n4,pred(n2))) = sK0
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3102,f224]) ).
fof(f3102,plain,
( sum(pred(sum(n19,n5)),sum(n4,pred(sum(n19,n4)))) = sK0
| ~ spl3_18
| ~ spl3_28 ),
inference(backward_demodulation,[],[f3040,f835]) ).
fof(f3099,plain,
( ~ spl3_18
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f3098]) ).
fof(f3098,plain,
( $false
| ~ spl3_18
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f3097,f432]) ).
fof(f3097,plain,
( n6 = sK0
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3096,f528]) ).
fof(f3096,plain,
( sum(n12,n15) = sK0
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3095,f378]) ).
fof(f3095,plain,
( sK0 = sum(pred(n13),n15)
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3094,f404]) ).
fof(f3094,plain,
( sum(pred(sum(n8,n5)),n15) = sK0
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3093,f627]) ).
fof(f3093,plain,
( sum(pred(sum(n8,n5)),sum(n4,n11)) = sK0
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3092,f461]) ).
fof(f3092,plain,
( sum(pred(sum(n8,n5)),sum(n4,pred(n12))) = sK0
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3091,f589]) ).
fof(f3091,plain,
( sum(pred(sum(n8,n5)),sum(n4,pred(sum(n8,n4)))) = sK0
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3040,f839]) ).
fof(f3080,plain,
( ~ spl3_18
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3079]) ).
fof(f3079,plain,
( $false
| ~ spl3_18
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3078,f277]) ).
fof(f3078,plain,
( n19 = sK0
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3077,f353]) ).
fof(f3077,plain,
( sum(n8,n11) = sK0
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3076,f540]) ).
fof(f3076,plain,
( sK0 = sum(pred(n9),n11)
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3075,f555]) ).
fof(f3075,plain,
( sum(pred(sum(n4,n5)),n11) = sK0
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3074,f595]) ).
fof(f3074,plain,
( sum(pred(sum(n4,n5)),sum(n4,n7)) = sK0
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3073,f245]) ).
fof(f3073,plain,
( sum(pred(sum(n4,n5)),sum(n4,pred(n8))) = sK0
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3072,f612]) ).
fof(f3072,plain,
( sK0 = sum(pred(sum(n4,n5)),sum(n4,pred(sum(n4,n4))))
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3040,f827]) ).
fof(f3056,plain,
( ~ spl3_18
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3055]) ).
fof(f3055,plain,
( $false
| ~ spl3_18
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3054,f111]) ).
fof(f3054,plain,
( n5 = sK0
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3053,f450]) ).
fof(f3053,plain,
( sum(n1,n4) = sK0
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3052,f680]) ).
fof(f3052,plain,
( sum(pred(n2),n4) = sK0
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3051,f71]) ).
fof(f3051,plain,
( sK0 = sum(pred(sum(n18,n5)),n4)
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3050,f122]) ).
fof(f3050,plain,
( sum(pred(sum(n18,n5)),sum(n4,n0)) = sK0
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3049,f96]) ).
fof(f3049,plain,
( sum(pred(sum(n18,n5)),sum(n4,pred(n1))) = sK0
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3048,f93]) ).
fof(f3048,plain,
( sK0 = sum(pred(sum(n18,n5)),sum(n4,pred(sum(n18,n4))))
| ~ spl3_18
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3040,f843]) ).
fof(f3028,plain,
( ~ spl3_20
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f3027]) ).
fof(f3027,plain,
( $false
| ~ spl3_20
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f3026,f306]) ).
fof(f3026,plain,
( n8 = sK0
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3025,f395]) ).
fof(f3025,plain,
( sum(n3,n5) = sK0
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3024,f165]) ).
fof(f3024,plain,
( sum(pred(n4),n5) = sK0
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3023,f377]) ).
fof(f3023,plain,
( sum(pred(sum(n0,n4)),n5) = sK0
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3022,f141]) ).
fof(f3022,plain,
( sum(pred(sum(n0,succ(n3))),n5) = sK0
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3021,f391]) ).
fof(f3021,plain,
( sK0 = sum(pred(sum(n0,succ(n3))),sum(n3,n2))
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3020,f480]) ).
fof(f3020,plain,
( sK0 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(n3)))
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3019,f397]) ).
fof(f3019,plain,
( sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3)))) = sK0
| ~ spl3_20
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f802]) ).
fof(f2702,plain,
( sK0 = sum(pred(sum(n0,succ(sK2))),sum(sK2,pred(sum(n0,sK2))))
| ~ spl3_35 ),
inference(forward_demodulation,[],[f244,f863]) ).
fof(f863,plain,
( n0 = sK1
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f861,plain,
( spl3_35
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f3001,plain,
( ~ spl3_1
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3000,plain,
( $false
| ~ spl3_1
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2999,f12]) ).
fof(f2999,plain,
( n11 = sK0
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2998,f455]) ).
fof(f2998,plain,
( sum(n18,n14) = sK0
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2997,f576]) ).
fof(f2997,plain,
( sum(pred(n19),n14) = sK0
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2996,f662]) ).
fof(f2996,plain,
( sum(pred(sum(n0,n19)),n14) = sK0
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2995,f569]) ).
fof(f2995,plain,
( sK0 = sum(pred(sum(n0,succ(n18))),n14)
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2994,f373]) ).
fof(f2994,plain,
( sum(pred(sum(n0,succ(n18))),sum(n18,n17)) = sK0
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2993,f622]) ).
fof(f2993,plain,
( sK0 = sum(pred(sum(n0,succ(n18))),sum(n18,pred(n18)))
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2992,f564]) ).
fof(f2992,plain,
( sum(pred(sum(n0,succ(n18))),sum(n18,pred(sum(n0,n18)))) = sK0
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2702,f726]) ).
fof(f2988,plain,
( ~ spl3_3
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2987]) ).
fof(f2987,plain,
( $false
| ~ spl3_3
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2986,f509]) ).
fof(f2986,plain,
( n2 = sK0
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2985,f457]) ).
fof(f2985,plain,
( sum(n15,n8) = sK0
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2984,f387]) ).
fof(f2984,plain,
( sK0 = sum(pred(n16),n8)
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2983,f650]) ).
fof(f2983,plain,
( sum(pred(sum(n0,n16)),n8) = sK0
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2982,f109]) ).
fof(f2982,plain,
( sum(pred(sum(n0,succ(n15))),n8) = sK0
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2981,f136]) ).
fof(f2981,plain,
( sum(pred(sum(n0,succ(n15))),sum(n15,n14)) = sK0
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2980,f164]) ).
fof(f2980,plain,
( sum(pred(sum(n0,succ(n15))),sum(n15,pred(n15))) = sK0
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2979,f669]) ).
fof(f2979,plain,
( sum(pred(sum(n0,succ(n15))),sum(n15,pred(sum(n0,n15)))) = sK0
| ~ spl3_3
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f734]) ).
fof(f2973,plain,
( ~ spl3_5
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2972]) ).
fof(f2972,plain,
( $false
| ~ spl3_5
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2971,f307]) ).
fof(f2971,plain,
( n17 = sK0
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2970,f37]) ).
fof(f2970,plain,
( sum(n6,n11) = sK0
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2969,f423]) ).
fof(f2969,plain,
( sum(pred(n7),n11) = sK0
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2968,f69]) ).
fof(f2968,plain,
( sum(pred(sum(n0,n7)),n11) = sK0
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2967,f137]) ).
fof(f2967,plain,
( sum(pred(sum(n0,succ(n6))),n11) = sK0
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2966,f546]) ).
fof(f2966,plain,
( sum(pred(sum(n0,succ(n6))),sum(n6,n5)) = sK0
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2965,f581]) ).
fof(f2965,plain,
( sK0 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(n6)))
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2964,f591]) ).
fof(f2964,plain,
( sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6)))) = sK0
| ~ spl3_5
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f742]) ).
fof(f2950,plain,
( ~ spl3_19
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2949]) ).
fof(f2949,plain,
( $false
| ~ spl3_19
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2948,f111]) ).
fof(f2948,plain,
( n5 = sK0
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2947,f625]) ).
fof(f2947,plain,
( sum(n2,n3) = sK0
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2946,f480]) ).
fof(f2946,plain,
( sum(pred(n3),n3) = sK0
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2945,f397]) ).
fof(f2945,plain,
( sum(pred(sum(n0,n3)),n3) = sK0
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2944,f560]) ).
fof(f2944,plain,
( sum(pred(sum(n0,succ(n2))),n3) = sK0
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2943,f292]) ).
fof(f2943,plain,
( sK0 = sum(pred(sum(n0,succ(n2))),sum(n2,n1))
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2942,f680]) ).
fof(f2942,plain,
( sum(pred(sum(n0,succ(n2))),sum(n2,pred(n2))) = sK0
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2941,f679]) ).
fof(f2941,plain,
( sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2)))) = sK0
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2702,f798]) ).
fof(f2916,plain,
( ~ spl3_8
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2915]) ).
fof(f2915,plain,
( $false
| ~ spl3_8
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2914,f509]) ).
fof(f2914,plain,
( n2 = sK0
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2913,f717]) ).
fof(f2913,plain,
( sum(n8,n15) = sK0
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2912,f540]) ).
fof(f2912,plain,
( sK0 = sum(pred(n9),n15)
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2911,f311]) ).
fof(f2911,plain,
( sum(pred(sum(n0,n9)),n15) = sK0
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2910,f505]) ).
fof(f2910,plain,
( sum(pred(sum(n0,succ(n8))),n15) = sK0
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2909,f623]) ).
fof(f2909,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,n7)) = sK0
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2908,f245]) ).
fof(f2908,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,pred(n8))) = sK0
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2907,f626]) ).
fof(f2907,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8)))) = sK0
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2702,f754]) ).
fof(f2900,plain,
( ~ spl3_10
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2899]) ).
fof(f2899,plain,
( $false
| ~ spl3_10
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2898,f111]) ).
fof(f2898,plain,
( n5 = sK0
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2897,f344]) ).
fof(f2897,plain,
( sum(n9,n17) = sK0
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2896,f231]) ).
fof(f2896,plain,
( sum(pred(n10),n17) = sK0
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2895,f409]) ).
fof(f2895,plain,
( sK0 = sum(pred(sum(n0,n10)),n17)
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2894,f389]) ).
fof(f2894,plain,
( sK0 = sum(pred(sum(n0,succ(n9))),n17)
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2893,f716]) ).
fof(f2893,plain,
( sK0 = sum(pred(sum(n0,succ(n9))),sum(n9,n8))
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2892,f540]) ).
fof(f2892,plain,
( sum(pred(sum(n0,succ(n9))),sum(n9,pred(n9))) = sK0
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2891,f311]) ).
fof(f2891,plain,
( sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9)))) = sK0
| ~ spl3_10
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f762]) ).
fof(f2878,plain,
( ~ spl3_12
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2877]) ).
fof(f2877,plain,
( $false
| ~ spl3_12
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2876,f140]) ).
fof(f2876,plain,
( n14 = sK0
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2875,f280]) ).
fof(f2875,plain,
( sum(n19,n16) = sK0
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2874,f148]) ).
fof(f2874,plain,
( sK0 = sum(pred(n20),n16)
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2873,f156]) ).
fof(f156,plain,
n20 = sum(n0,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f2873,plain,
( sum(pred(sum(n0,n20)),n16) = sK0
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2872,f249]) ).
fof(f2872,plain,
( sum(pred(sum(n0,succ(n19))),n16) = sK0
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2871,f134]) ).
fof(f2871,plain,
( sum(pred(sum(n0,succ(n19))),sum(n19,n18)) = sK0
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2870,f576]) ).
fof(f2870,plain,
( sum(pred(sum(n0,succ(n19))),sum(n19,pred(n19))) = sK0
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2869,f662]) ).
fof(f2869,plain,
( sum(pred(sum(n0,succ(n19))),sum(n19,pred(sum(n0,n19)))) = sK0
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2702,f770]) ).
fof(f2861,plain,
( ~ spl3_9
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2860]) ).
fof(f2860,plain,
( $false
| ~ spl3_9
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2859,f509]) ).
fof(f2859,plain,
( n2 = sK0
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2858,f202]) ).
fof(f2858,plain,
( sum(n1,n1) = sK0
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2857,f680]) ).
fof(f2857,plain,
( sum(pred(n2),n1) = sK0
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2856,f679]) ).
fof(f2856,plain,
( sum(pred(sum(n0,n2)),n1) = sK0
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2855,f20]) ).
fof(f2855,plain,
( sum(pred(sum(n0,succ(n1))),n1) = sK0
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2854,f510]) ).
fof(f2854,plain,
( sum(pred(sum(n0,succ(n1))),sum(n1,n0)) = sK0
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2853,f96]) ).
fof(f2853,plain,
( sK0 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(n1)))
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2852,f484]) ).
fof(f2852,plain,
( sK0 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(sum(n0,n1))))
| ~ spl3_9
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f758]) ).
fof(f2827,plain,
( ~ spl3_6
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2826]) ).
fof(f2826,plain,
( $false
| ~ spl3_6
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2825,f663]) ).
fof(f2825,plain,
( n20 = sK0
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2824,f156]) ).
fof(f2824,plain,
( sum(n0,n20) = sK0
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2823,f96]) ).
fof(f2823,plain,
( sum(pred(n1),n20) = sK0
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2822,f484]) ).
fof(f2822,plain,
( sum(pred(sum(n0,n1)),n20) = sK0
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2821,f543]) ).
fof(f2821,plain,
( sK0 = sum(pred(sum(n0,succ(n0))),n20)
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2820,f156]) ).
fof(f2820,plain,
( sum(pred(sum(n0,succ(n0))),sum(n0,n20)) = sK0
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2819,f342]) ).
fof(f2819,plain,
( sum(pred(sum(n0,succ(n0))),sum(n0,pred(n0))) = sK0
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2818,f407]) ).
fof(f2818,plain,
( sK0 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0))))
| ~ spl3_6
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f746]) ).
fof(f2800,plain,
( ~ spl3_11
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
fof(f2799,plain,
( $false
| ~ spl3_11
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2798,f140]) ).
fof(f2798,plain,
( n14 = sK0
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2797,f635]) ).
fof(f2797,plain,
( sum(n5,n9) = sK0
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2796,f581]) ).
fof(f2796,plain,
( sum(pred(n6),n9) = sK0
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2795,f591]) ).
fof(f2795,plain,
( sK0 = sum(pred(sum(n0,n6)),n9)
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2794,f420]) ).
fof(f2794,plain,
( sum(pred(sum(n0,succ(n5))),n9) = sK0
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2793,f59]) ).
fof(f2793,plain,
( sum(pred(sum(n0,succ(n5))),sum(n5,n4)) = sK0
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2792,f708]) ).
fof(f2792,plain,
( sum(pred(sum(n0,succ(n5))),sum(n5,pred(n5))) = sK0
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2791,f467]) ).
fof(f2791,plain,
( sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5)))) = sK0
| ~ spl3_11
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f766]) ).
fof(f2782,plain,
( ~ spl3_13
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2781]) ).
fof(f2781,plain,
( $false
| ~ spl3_13
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2780,f663]) ).
fof(f2780,plain,
( n20 = sK0
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2779,f254]) ).
fof(f2779,plain,
( sum(n7,n13) = sK0
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2778,f245]) ).
fof(f2778,plain,
( sum(pred(n8),n13) = sK0
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2777,f626]) ).
fof(f2777,plain,
( sum(pred(sum(n0,n8)),n13) = sK0
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2776,f413]) ).
fof(f2776,plain,
( sum(pred(sum(n0,succ(n7))),n13) = sK0
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2775,f667]) ).
fof(f2775,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,n6)) = sK0
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2774,f423]) ).
fof(f2774,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,pred(n7))) = sK0
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2773,f69]) ).
fof(f2773,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7)))) = sK0
| ~ spl3_13
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f774]) ).
fof(f2761,plain,
( ~ spl3_15
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2760]) ).
fof(f2760,plain,
( $false
| ~ spl3_15
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2759,f12]) ).
fof(f2759,plain,
( n11 = sK0
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2758,f101]) ).
fof(f2758,plain,
( sum(n11,n0) = sK0
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2757,f461]) ).
fof(f2757,plain,
( sum(pred(n12),n0) = sK0
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2756,f130]) ).
fof(f2756,plain,
( sK0 = sum(pred(sum(n0,n12)),n0)
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2755,f55]) ).
fof(f2755,plain,
( sK0 = sum(pred(sum(n0,succ(n11))),n0)
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2754,f392]) ).
fof(f2754,plain,
( sum(pred(sum(n0,succ(n11))),sum(n11,n10)) = sK0
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2753,f45]) ).
fof(f2753,plain,
( sum(pred(sum(n0,succ(n11))),sum(n11,pred(n11))) = sK0
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2752,f599]) ).
fof(f2752,plain,
( sum(pred(sum(n0,succ(n11))),sum(n11,pred(sum(n0,n11)))) = sK0
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2702,f782]) ).
fof(f2742,plain,
( ~ spl3_21
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2741]) ).
fof(f2741,plain,
( $false
| ~ spl3_21
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2740,f307]) ).
fof(f2740,plain,
( n17 = sK0
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2739,f228]) ).
fof(f2739,plain,
( sum(n13,n4) = sK0
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2738,f278]) ).
fof(f2738,plain,
( sum(pred(n14),n4) = sK0
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2737,f426]) ).
fof(f2737,plain,
( sK0 = sum(pred(sum(n0,n14)),n4)
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2736,f697]) ).
fof(f2736,plain,
( sum(pred(sum(n0,succ(n13))),n4) = sK0
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2735,f302]) ).
fof(f2735,plain,
( sum(pred(sum(n0,succ(n13))),sum(n13,n12)) = sK0
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2734,f378]) ).
fof(f2734,plain,
( sK0 = sum(pred(sum(n0,succ(n13))),sum(n13,pred(n13)))
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2733,f381]) ).
fof(f381,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2733,plain,
( sum(pred(sum(n0,succ(n13))),sum(n13,pred(sum(n0,n13)))) = sK0
| ~ spl3_21
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f806]) ).
fof(f2725,plain,
( ~ spl3_7
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2724]) ).
fof(f2724,plain,
( $false
| ~ spl3_7
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2723,f307]) ).
fof(f2723,plain,
( n17 = sK0
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2722,f125]) ).
fof(f2722,plain,
( sum(n20,n18) = sK0
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2721,f342]) ).
fof(f2721,plain,
( sum(pred(n0),n18) = sK0
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2720,f407]) ).
fof(f2720,plain,
( sum(pred(sum(n0,n0)),n18) = sK0
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2719,f370]) ).
fof(f2719,plain,
( sum(pred(sum(n0,succ(n20))),n18) = sK0
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2718,f145]) ).
fof(f2718,plain,
( sum(pred(sum(n0,succ(n20))),sum(n20,n19)) = sK0
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2717,f148]) ).
fof(f2717,plain,
( sum(pred(sum(n0,succ(n20))),sum(n20,pred(n20))) = sK0
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2716,f156]) ).
fof(f2716,plain,
( sK0 = sum(pred(sum(n0,succ(n20))),sum(n20,pred(sum(n0,n20))))
| ~ spl3_7
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f750]) ).
fof(f2714,plain,
( ~ spl3_4
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2713]) ).
fof(f2713,plain,
( $false
| ~ spl3_4
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2712,f306]) ).
fof(f2712,plain,
( n8 = sK0
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2711,f114]) ).
fof(f114,plain,
n8 = sum(n17,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f2711,plain,
( sum(n17,n12) = sK0
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2710,f622]) ).
fof(f2710,plain,
( sK0 = sum(pred(n18),n12)
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2709,f564]) ).
fof(f2709,plain,
( sum(pred(sum(n0,n18)),n12) = sK0
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2708,f363]) ).
fof(f2708,plain,
( sum(pred(sum(n0,succ(n17))),n12) = sK0
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2707,f272]) ).
fof(f272,plain,
n12 = sum(n17,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2707,plain,
( sK0 = sum(pred(sum(n0,succ(n17))),sum(n17,n16))
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2706,f661]) ).
fof(f2706,plain,
( sum(pred(sum(n0,succ(n17))),sum(n17,pred(n17))) = sK0
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2705,f385]) ).
fof(f2705,plain,
( sum(pred(sum(n0,succ(n17))),sum(n17,pred(sum(n0,n17)))) = sK0
| ~ spl3_4
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2702,f738]) ).
fof(f2700,plain,
( ~ spl3_18
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2699,plain,
( $false
| ~ spl3_18
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2698,f12]) ).
fof(f2698,plain,
( n11 = sK0
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2697,f595]) ).
fof(f2697,plain,
( sum(n4,n7) = sK0
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2696,f708]) ).
fof(f2696,plain,
( sK0 = sum(pred(n5),n7)
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2695,f467]) ).
fof(f2695,plain,
( sum(pred(sum(n0,n5)),n7) = sK0
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2694,f72]) ).
fof(f2694,plain,
( sK0 = sum(pred(sum(n0,succ(n4))),n7)
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2693,f696]) ).
fof(f2693,plain,
( sum(pred(sum(n0,succ(n4))),sum(n4,n3)) = sK0
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2692,f165]) ).
fof(f2692,plain,
( sK0 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(n4)))
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2691,f377]) ).
fof(f2691,plain,
( sK0 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4))))
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2690,f863]) ).
fof(f2690,plain,
( sum(pred(sum(sK1,succ(n4))),sum(n4,pred(sum(sK1,n4)))) = sK0
| ~ spl3_18 ),
inference(forward_demodulation,[],[f244,f794]) ).
fof(f2670,plain,
( ~ spl3_14
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2669]) ).
fof(f2669,plain,
( $false
| ~ spl3_14
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2668,f140]) ).
fof(f2668,plain,
( n14 = sK0
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2667,f303]) ).
fof(f2667,plain,
( sum(n12,n2) = sK0
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2666,f378]) ).
fof(f2666,plain,
( sK0 = sum(pred(n13),n2)
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2665,f381]) ).
fof(f2665,plain,
( sK0 = sum(pred(sum(n0,n13)),n2)
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2664,f554]) ).
fof(f2664,plain,
( sum(pred(sum(n0,n13)),sum(n12,n11)) = sK0
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2663,f461]) ).
fof(f2663,plain,
( sK0 = sum(pred(sum(n0,n13)),sum(n12,pred(n12)))
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2662,f130]) ).
fof(f2662,plain,
( sK0 = sum(pred(sum(n0,n13)),sum(n12,pred(sum(n0,n12))))
| ~ spl3_14
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2642,f863]) ).
fof(f2642,plain,
( sum(pred(sum(sK1,n13)),sum(n12,pred(sum(sK1,n12)))) = sK0
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2641,f322]) ).
fof(f2641,plain,
( sK0 = sum(pred(sum(sK1,succ(n12))),sum(n12,pred(sum(sK1,n12))))
| ~ spl3_14 ),
inference(forward_demodulation,[],[f244,f778]) ).
fof(f2633,plain,
( ~ spl3_17
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f2632]) ).
fof(f2632,plain,
( $false
| ~ spl3_17
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f2631,f277]) ).
fof(f2631,plain,
( n19 = sK0
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2630,f173]) ).
fof(f2630,plain,
( sum(n3,n16) = sK0
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2629,f165]) ).
fof(f2629,plain,
( sum(pred(n4),n16) = sK0
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2628,f279]) ).
fof(f2628,plain,
( sum(pred(sum(n10,n15)),n16) = sK0
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2627,f90]) ).
fof(f90,plain,
n16 = sum(n14,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2627,plain,
( sum(pred(sum(n10,n15)),sum(n14,n2)) = sK0
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2626,f480]) ).
fof(f2626,plain,
( sum(pred(sum(n10,n15)),sum(n14,pred(n3))) = sK0
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2625,f416]) ).
fof(f2625,plain,
( sK0 = sum(pred(sum(n10,n15)),sum(n14,pred(sum(n10,n14))))
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2265,f871]) ).
fof(f2265,plain,
( sum(pred(sum(sK1,n15)),sum(n14,pred(sum(sK1,n14)))) = sK0
| ~ spl3_17 ),
inference(forward_demodulation,[],[f2262,f571]) ).
fof(f571,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f5]) ).
fof(f2262,plain,
( sum(pred(sum(sK1,succ(n14))),sum(n14,pred(sum(sK1,n14)))) = sK0
| ~ spl3_17 ),
inference(backward_demodulation,[],[f244,f790]) ).
fof(f790,plain,
( n14 = sK2
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f788,plain,
( spl3_17
<=> n14 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f2612,plain,
( ~ spl3_17
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2611,plain,
( $false
| ~ spl3_17
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f2610,f111]) ).
fof(f2610,plain,
( n5 = sK0
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2609,f110]) ).
fof(f110,plain,
n5 = sum(n17,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2609,plain,
( sum(n17,n9) = sK0
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2608,f622]) ).
fof(f2608,plain,
( sum(pred(n18),n9) = sK0
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2607,f547]) ).
fof(f2607,plain,
( sum(pred(sum(n3,n15)),n9) = sK0
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2606,f676]) ).
fof(f2606,plain,
( sum(pred(sum(n3,n15)),sum(n14,n16)) = sK0
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2605,f661]) ).
fof(f2605,plain,
( sum(pred(sum(n3,n15)),sum(n14,pred(n17))) = sK0
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2604,f269]) ).
fof(f2604,plain,
( sum(pred(sum(n3,n15)),sum(n14,pred(sum(n3,n14)))) = sK0
| ~ spl3_17
| ~ spl3_42 ),
inference(backward_demodulation,[],[f2265,f891]) ).
fof(f2592,plain,
( ~ spl3_17
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f2591]) ).
fof(f2591,plain,
( $false
| ~ spl3_17
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f2590,f509]) ).
fof(f2590,plain,
( n2 = sK0
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2589,f154]) ).
fof(f2589,plain,
( sum(n5,n18) = sK0
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2588,f581]) ).
fof(f2588,plain,
( sum(pred(n6),n18) = sK0
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2587,f528]) ).
fof(f2587,plain,
( sum(pred(sum(n12,n15)),n18) = sK0
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2586,f18]) ).
fof(f2586,plain,
( sum(pred(sum(n12,n15)),sum(n14,n4)) = sK0
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2585,f708]) ).
fof(f2585,plain,
( sum(pred(sum(n12,n15)),sum(n14,pred(n5))) = sK0
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2584,f81]) ).
fof(f2584,plain,
( sum(pred(sum(n12,n15)),sum(n14,pred(sum(n12,n14)))) = sK0
| ~ spl3_17
| ~ spl3_23 ),
inference(backward_demodulation,[],[f2265,f815]) ).
fof(f2575,plain,
( ~ spl3_17
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f2574]) ).
fof(f2574,plain,
( $false
| ~ spl3_17
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f2573,f470]) ).
fof(f2573,plain,
( n18 = sK0
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2572,f95]) ).
fof(f2572,plain,
( sum(n13,n5) = sK0
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2571,f278]) ).
fof(f2571,plain,
( sK0 = sum(pred(n14),n5)
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2570,f253]) ).
fof(f2570,plain,
( sK0 = sum(pred(sum(n20,n15)),n5)
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2569,f606]) ).
fof(f2569,plain,
( sK0 = sum(pred(sum(n20,n15)),sum(n14,n12))
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2568,f378]) ).
fof(f2568,plain,
( sum(pred(sum(n20,n15)),sum(n14,pred(n13))) = sK0
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2567,f448]) ).
fof(f2567,plain,
( sum(pred(sum(n20,n15)),sum(n14,pred(sum(n20,n14)))) = sK0
| ~ spl3_17
| ~ spl3_34 ),
inference(backward_demodulation,[],[f2265,f859]) ).
fof(f2555,plain,
( ~ spl3_17
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f2554]) ).
fof(f2554,plain,
( $false
| ~ spl3_17
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f2553,f43]) ).
fof(f2553,plain,
( n13 = sK0
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2552,f381]) ).
fof(f2552,plain,
( sum(n0,n13) = sK0
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2551,f96]) ).
fof(f2551,plain,
( sK0 = sum(pred(n1),n13)
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2550,f330]) ).
fof(f2550,plain,
( sum(pred(sum(n7,n15)),n13) = sK0
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2549,f75]) ).
fof(f2549,plain,
( sK0 = sum(pred(sum(n7,n15)),sum(n14,n20))
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2548,f342]) ).
fof(f2548,plain,
( sK0 = sum(pred(sum(n7,n15)),sum(n14,pred(n0)))
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2547,f660]) ).
fof(f2547,plain,
( sK0 = sum(pred(sum(n7,n15)),sum(n14,pred(sum(n7,n14))))
| ~ spl3_17
| ~ spl3_24 ),
inference(backward_demodulation,[],[f2265,f819]) ).
fof(f2538,plain,
( ~ spl3_17
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
fof(f2537,plain,
( $false
| ~ spl3_17
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f2536,f637]) ).
fof(f2536,plain,
( n7 = sK0
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2535,f339]) ).
fof(f2535,plain,
( sum(n18,n10) = sK0
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2534,f576]) ).
fof(f2534,plain,
( sum(pred(n19),n10) = sK0
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2533,f620]) ).
fof(f2533,plain,
( sK0 = sum(pred(sum(n4,n15)),n10)
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2532,f684]) ).
fof(f2532,plain,
( sK0 = sum(pred(sum(n4,n15)),sum(n14,n17))
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2531,f622]) ).
fof(f2531,plain,
( sum(pred(sum(n4,n15)),sum(n14,pred(n18))) = sK0
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2530,f108]) ).
fof(f2530,plain,
( sum(pred(sum(n4,n15)),sum(n14,pred(sum(n4,n14)))) = sK0
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2265,f827]) ).
fof(f2519,plain,
( ~ spl3_17
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f2518]) ).
fof(f2518,plain,
( $false
| ~ spl3_17
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f2517,f12]) ).
fof(f2517,plain,
( n11 = sK0
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2516,f99]) ).
fof(f2516,plain,
( sum(n20,n12) = sK0
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2515,f342]) ).
fof(f2515,plain,
( sum(pred(n0),n12) = sK0
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2514,f262]) ).
fof(f2514,plain,
( sum(pred(sum(n6,n15)),n12) = sK0
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2513,f446]) ).
fof(f2513,plain,
( sK0 = sum(pred(sum(n6,n15)),sum(n14,n19))
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2512,f148]) ).
fof(f2512,plain,
( sum(pred(sum(n6,n15)),sum(n14,pred(n20))) = sK0
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2511,f16]) ).
fof(f2511,plain,
( sK0 = sum(pred(sum(n6,n15)),sum(n14,pred(sum(n6,n14))))
| ~ spl3_17
| ~ spl3_36 ),
inference(backward_demodulation,[],[f2265,f867]) ).
fof(f2493,plain,
( ~ spl3_17
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2492,plain,
( $false
| ~ spl3_17
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f2491,f102]) ).
fof(f2491,plain,
( n10 = sK0
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2490,f670]) ).
fof(f2490,plain,
( sum(n9,n1) = sK0
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2489,f231]) ).
fof(f2489,plain,
( sK0 = sum(pred(n10),n1)
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2488,f406]) ).
fof(f2488,plain,
( sK0 = sum(pred(sum(n16,n15)),n1)
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2487,f427]) ).
fof(f427,plain,
n1 = sum(n14,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2487,plain,
( sum(pred(sum(n16,n15)),sum(n14,n8)) = sK0
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2486,f540]) ).
fof(f2486,plain,
( sum(pred(sum(n16,n15)),sum(n14,pred(n9))) = sK0
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2485,f82]) ).
fof(f2485,plain,
( sum(pred(sum(n16,n15)),sum(n14,pred(sum(n16,n14)))) = sK0
| ~ spl3_17
| ~ spl3_39 ),
inference(backward_demodulation,[],[f2265,f879]) ).
fof(f2483,plain,
( ~ spl3_17
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f2482]) ).
fof(f2482,plain,
( $false
| ~ spl3_17
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f2481,f128]) ).
fof(f2481,plain,
( n15 = sK0
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2480,f78]) ).
fof(f2480,plain,
( sum(n1,n14) = sK0
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2479,f680]) ).
fof(f2479,plain,
( sum(pred(n2),n14) = sK0
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2478,f717]) ).
fof(f2478,plain,
( sK0 = sum(pred(sum(n8,n15)),n14)
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2477,f349]) ).
fof(f2477,plain,
( sum(pred(sum(n8,n15)),sum(n14,n0)) = sK0
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2476,f96]) ).
fof(f2476,plain,
( sK0 = sum(pred(sum(n8,n15)),sum(n14,pred(n1)))
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2475,f632]) ).
fof(f2475,plain,
( sum(pred(sum(n8,n15)),sum(n14,pred(sum(n8,n14)))) = sK0
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2265,f839]) ).
fof(f2461,plain,
( ~ spl3_17
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f2460]) ).
fof(f2460,plain,
( $false
| ~ spl3_17
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f2459,f118]) ).
fof(f2459,plain,
( n16 = sK0
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2458,f28]) ).
fof(f2458,plain,
( sum(n12,n4) = sK0
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2457,f378]) ).
fof(f2457,plain,
( sum(pred(n13),n4) = sK0
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2456,f337]) ).
fof(f2456,plain,
( sum(pred(sum(n19,n15)),n4) = sK0
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2455,f698]) ).
fof(f2455,plain,
( sum(pred(sum(n19,n15)),sum(n14,n11)) = sK0
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2454,f461]) ).
fof(f2454,plain,
( sum(pred(sum(n19,n15)),sum(n14,pred(n12))) = sK0
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2453,f273]) ).
fof(f2453,plain,
( sum(pred(sum(n19,n15)),sum(n14,pred(sum(n19,n14)))) = sK0
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2265,f835]) ).
fof(f2447,plain,
( ~ spl3_17
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f2446]) ).
fof(f2446,plain,
( $false
| ~ spl3_17
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f2445,f306]) ).
fof(f2445,plain,
( n8 = sK0
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2444,f646]) ).
fof(f2444,plain,
( sum(n8,n0) = sK0
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2443,f540]) ).
fof(f2443,plain,
( sum(pred(n9),n0) = sK0
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2442,f19]) ).
fof(f2442,plain,
( sK0 = sum(pred(sum(n15,n15)),n0)
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2441,f313]) ).
fof(f2441,plain,
( sum(pred(sum(n15,n15)),sum(n14,n7)) = sK0
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2440,f245]) ).
fof(f2440,plain,
( sum(pred(sum(n15,n15)),sum(n14,pred(n8))) = sK0
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2439,f136]) ).
fof(f2439,plain,
( sK0 = sum(pred(sum(n15,n15)),sum(n14,pred(sum(n15,n14))))
| ~ spl3_17
| ~ spl3_27 ),
inference(backward_demodulation,[],[f2265,f831]) ).
fof(f2436,plain,
( ~ spl3_17
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2435,plain,
( $false
| ~ spl3_17
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f2434,f393]) ).
fof(f2434,plain,
( n0 = sK0
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2433,f374]) ).
fof(f2433,plain,
( sum(n4,n17) = sK0
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2432,f708]) ).
fof(f2432,plain,
( sum(pred(n5),n17) = sK0
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2431,f628]) ).
fof(f2431,plain,
( sK0 = sum(pred(sum(n11,n15)),n17)
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2430,f85]) ).
fof(f2430,plain,
( sum(pred(sum(n11,n15)),sum(n14,n3)) = sK0
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2429,f165]) ).
fof(f2429,plain,
( sum(pred(sum(n11,n15)),sum(n14,pred(n4))) = sK0
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2428,f541]) ).
fof(f2428,plain,
( sum(pred(sum(n11,n15)),sum(n14,pred(sum(n11,n14)))) = sK0
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2265,f887]) ).
fof(f2419,plain,
( ~ spl3_17
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2418]) ).
fof(f2418,plain,
( $false
| ~ spl3_17
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2417,f663]) ).
fof(f2417,plain,
( n20 = sK0
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2416,f38]) ).
fof(f38,plain,
n20 = sum(n14,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2416,plain,
( sum(n14,n6) = sK0
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2415,f164]) ).
fof(f2415,plain,
( sK0 = sum(pred(n15),n6)
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2414,f669]) ).
fof(f2414,plain,
( sum(pred(sum(n0,n15)),n6) = sK0
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2413,f243]) ).
fof(f243,plain,
n6 = sum(n14,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2413,plain,
( sK0 = sum(pred(sum(n0,n15)),sum(n14,n13))
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2412,f278]) ).
fof(f2412,plain,
( sum(pred(sum(n0,n15)),sum(n14,pred(n14))) = sK0
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2411,f426]) ).
fof(f2411,plain,
( sum(pred(sum(n0,n15)),sum(n14,pred(sum(n0,n14)))) = sK0
| ~ spl3_17
| ~ spl3_35 ),
inference(backward_demodulation,[],[f2265,f863]) ).
fof(f2389,plain,
( ~ spl3_17
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f2388]) ).
fof(f2388,plain,
( $false
| ~ spl3_17
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f2387,f123]) ).
fof(f2387,plain,
( n9 = sK0
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2386,f291]) ).
fof(f2386,plain,
( sum(n19,n11) = sK0
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2385,f148]) ).
fof(f2385,plain,
( sK0 = sum(pred(n20),n11)
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2384,f593]) ).
fof(f2384,plain,
( sum(pred(sum(n5,n15)),n11) = sK0
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2383,f428]) ).
fof(f2383,plain,
( sK0 = sum(pred(sum(n5,n15)),sum(n14,n18))
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2382,f576]) ).
fof(f2382,plain,
( sK0 = sum(pred(sum(n5,n15)),sum(n14,pred(n19)))
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2381,f364]) ).
fof(f2381,plain,
( sum(pred(sum(n5,n15)),sum(n14,pred(sum(n5,n14)))) = sK0
| ~ spl3_17
| ~ spl3_40 ),
inference(backward_demodulation,[],[f2265,f883]) ).
fof(f2365,plain,
( ~ spl3_17
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
fof(f2364,plain,
( $false
| ~ spl3_17
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f2363,f453]) ).
fof(f2363,plain,
( n4 = sK0
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2362,f185]) ).
fof(f2362,plain,
( sum(n6,n19) = sK0
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2361,f423]) ).
fof(f2361,plain,
( sum(pred(n7),n19) = sK0
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2360,f186]) ).
fof(f2360,plain,
( sK0 = sum(pred(sum(n13,n15)),n19)
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2359,f283]) ).
fof(f2359,plain,
( sum(pred(sum(n13,n15)),sum(n14,n5)) = sK0
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2358,f581]) ).
fof(f2358,plain,
( sum(pred(sum(n13,n15)),sum(n14,pred(n6))) = sK0
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2357,f184]) ).
fof(f2357,plain,
( sum(pred(sum(n13,n15)),sum(n14,pred(sum(n13,n14)))) = sK0
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2265,f875]) ).
fof(f2353,plain,
( ~ spl3_17
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2352]) ).
fof(f2352,plain,
( $false
| ~ spl3_17
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2351,f307]) ).
fof(f2351,plain,
( n17 = sK0
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2350,f580]) ).
fof(f2350,plain,
( sum(n2,n15) = sK0
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2349,f480]) ).
fof(f2349,plain,
( sK0 = sum(pred(n3),n15)
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2348,f617]) ).
fof(f2348,plain,
( sum(pred(sum(n9,n15)),n15) = sK0
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2347,f433]) ).
fof(f2347,plain,
( sK0 = sum(pred(sum(n9,n15)),sum(n14,n1))
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2346,f680]) ).
fof(f2346,plain,
( sum(pred(sum(n9,n15)),sum(n14,pred(n2))) = sK0
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2345,f538]) ).
fof(f2345,plain,
( sK0 = sum(pred(sum(n9,n15)),sum(n14,pred(sum(n9,n14))))
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2265,f811]) ).
fof(f2325,plain,
( ~ spl3_17
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f2324]) ).
fof(f2324,plain,
( $false
| ~ spl3_17
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f2323,f60]) ).
fof(f2323,plain,
( n1 = sK0
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2322,f263]) ).
fof(f2322,plain,
( sum(n15,n7) = sK0
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2321,f387]) ).
fof(f2321,plain,
( sum(pred(n16),n7) = sK0
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2320,f706]) ).
fof(f2320,plain,
( sum(pred(sum(n1,n15)),n7) = sK0
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2319,f358]) ).
fof(f2319,plain,
( sK0 = sum(pred(sum(n1,n15)),sum(n14,n14))
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2318,f164]) ).
fof(f2318,plain,
( sK0 = sum(pred(sum(n1,n15)),sum(n14,pred(n15)))
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2317,f78]) ).
fof(f2317,plain,
( sK0 = sum(pred(sum(n1,n15)),sum(n14,pred(sum(n1,n14))))
| ~ spl3_17
| ~ spl3_32 ),
inference(backward_demodulation,[],[f2265,f851]) ).
fof(f2306,plain,
( ~ spl3_17
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f2305]) ).
fof(f2305,plain,
( $false
| ~ spl3_17
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f2304,f8]) ).
fof(f2304,plain,
( n3 = sK0
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2303,f235]) ).
fof(f2303,plain,
( sum(n16,n8) = sK0
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2302,f661]) ).
fof(f2302,plain,
( sK0 = sum(pred(n17),n8)
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2301,f580]) ).
fof(f2301,plain,
( sum(pred(sum(n2,n15)),n8) = sK0
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2300,f405]) ).
fof(f2300,plain,
( sum(pred(sum(n2,n15)),sum(n14,n15)) = sK0
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2299,f387]) ).
fof(f2299,plain,
( sK0 = sum(pred(sum(n2,n15)),sum(n14,pred(n16)))
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2298,f356]) ).
fof(f2298,plain,
( sum(pred(sum(n2,n15)),sum(n14,pred(sum(n2,n14)))) = sK0
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2265,f823]) ).
fof(f2276,plain,
( ~ spl3_17
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f2275]) ).
fof(f2275,plain,
( $false
| ~ spl3_17
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f2274,f140]) ).
fof(f2274,plain,
( n14 = sK0
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2273,f365]) ).
fof(f2273,plain,
( sum(n11,n3) = sK0
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2272,f461]) ).
fof(f2272,plain,
( sum(pred(n12),n3) = sK0
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2271,f690]) ).
fof(f2271,plain,
( sum(pred(sum(n18,n15)),n3) = sK0
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2270,f695]) ).
fof(f695,plain,
n3 = sum(n14,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2270,plain,
( sum(pred(sum(n18,n15)),sum(n14,n10)) = sK0
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2269,f45]) ).
fof(f2269,plain,
( sum(pred(sum(n18,n15)),sum(n14,pred(n11))) = sK0
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2268,f455]) ).
fof(f2268,plain,
( sum(pred(sum(n18,n15)),sum(n14,pred(sum(n18,n14)))) = sK0
| ~ spl3_17
| ~ spl3_30 ),
inference(backward_demodulation,[],[f2265,f843]) ).
fof(f2259,plain,
( ~ spl3_13
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2258]) ).
fof(f2258,plain,
( $false
| ~ spl3_13
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2257,f44]) ).
fof(f2257,plain,
( n12 = sK0
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2256,f401]) ).
fof(f2256,plain,
( sum(n3,n9) = sK0
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2255,f165]) ).
fof(f2255,plain,
( sK0 = sum(pred(n4),n9)
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2254,f163]) ).
fof(f2254,plain,
( sum(pred(sum(n17,n8)),n9) = sK0
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2253,f413]) ).
fof(f2253,plain,
( sum(pred(sum(n17,succ(n7))),n9) = sK0
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2252,f618]) ).
fof(f2252,plain,
( sK0 = sum(pred(sum(n17,succ(n7))),sum(n7,n2))
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2251,f480]) ).
fof(f2251,plain,
( sum(pred(sum(n17,succ(n7))),sum(n7,pred(n3))) = sK0
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2250,f326]) ).
fof(f2250,plain,
( sK0 = sum(pred(sum(n17,succ(n7))),sum(n7,pred(sum(n17,n7))))
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1933,f774]) ).
fof(f1933,plain,
( sum(pred(sum(n17,succ(sK2))),sum(sK2,pred(sum(n17,sK2)))) = sK0
| ~ spl3_33 ),
inference(forward_demodulation,[],[f244,f855]) ).
fof(f855,plain,
( n17 = sK1
| ~ spl3_33 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f853,plain,
( spl3_33
<=> n17 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f2229,plain,
( ~ spl3_5
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2228]) ).
fof(f2228,plain,
( $false
| ~ spl3_5
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2227,f123]) ).
fof(f2227,plain,
( n9 = sK0
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2226,f68]) ).
fof(f2226,plain,
( sum(n2,n7) = sK0
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2225,f480]) ).
fof(f2225,plain,
( sum(pred(n3),n7) = sK0
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2224,f326]) ).
fof(f2224,plain,
( sum(pred(sum(n17,n7)),n7) = sK0
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2223,f137]) ).
fof(f2223,plain,
( sK0 = sum(pred(sum(n17,succ(n6))),n7)
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2222,f25]) ).
fof(f2222,plain,
( sK0 = sum(pred(sum(n17,succ(n6))),sum(n6,n1))
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2221,f680]) ).
fof(f2221,plain,
( sK0 = sum(pred(sum(n17,succ(n6))),sum(n6,pred(n2)))
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2220,f299]) ).
fof(f2220,plain,
( sK0 = sum(pred(sum(n17,succ(n6))),sum(n6,pred(sum(n17,n6))))
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1933,f742]) ).
fof(f2213,plain,
( ~ spl3_6
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2212]) ).
fof(f2212,plain,
( $false
| ~ spl3_6
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2211,f44]) ).
fof(f2211,plain,
( n12 = sK0
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2210,f272]) ).
fof(f2210,plain,
( sum(n17,n16) = sK0
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2209,f622]) ).
fof(f2209,plain,
( sum(pred(n18),n16) = sK0
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2208,f486]) ).
fof(f2208,plain,
( sum(pred(sum(n17,n1)),n16) = sK0
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2207,f543]) ).
fof(f2207,plain,
( sK0 = sum(pred(sum(n17,succ(n0))),n16)
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2206,f650]) ).
fof(f2206,plain,
( sum(pred(sum(n17,succ(n0))),sum(n0,n16)) = sK0
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2205,f661]) ).
fof(f2205,plain,
( sum(pred(sum(n17,succ(n0))),sum(n0,pred(n17))) = sK0
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2204,f170]) ).
fof(f2204,plain,
( sum(pred(sum(n17,succ(n0))),sum(n0,pred(sum(n17,n0)))) = sK0
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1933,f746]) ).
fof(f2184,plain,
( ~ spl3_7
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2183]) ).
fof(f2183,plain,
( $false
| ~ spl3_7
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2182,f123]) ).
fof(f2182,plain,
( n9 = sK0
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2181,f82]) ).
fof(f2181,plain,
( sum(n16,n14) = sK0
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2180,f661]) ).
fof(f2180,plain,
( sum(pred(n17),n14) = sK0
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2179,f170]) ).
fof(f2179,plain,
( sum(pred(sum(n17,n0)),n14) = sK0
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2178,f370]) ).
fof(f2178,plain,
( sum(pred(sum(n17,succ(n20))),n14) = sK0
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2177,f253]) ).
fof(f2177,plain,
( sK0 = sum(pred(sum(n17,succ(n20))),sum(n20,n15))
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2176,f387]) ).
fof(f2176,plain,
( sum(pred(sum(n17,succ(n20))),sum(n20,pred(n16))) = sK0
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2175,f629]) ).
fof(f2175,plain,
( sum(pred(sum(n17,succ(n20))),sum(n20,pred(sum(n17,n20)))) = sK0
| ~ spl3_7
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f750]) ).
fof(f2174,plain,
( ~ spl3_19
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2173]) ).
fof(f2173,plain,
( $false
| ~ spl3_19
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2172,f470]) ).
fof(f2172,plain,
( n18 = sK0
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2171,f233]) ).
fof(f2171,plain,
( sum(n19,n20) = sK0
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2170,f148]) ).
fof(f2170,plain,
( sum(pred(n20),n20) = sK0
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2169,f506]) ).
fof(f2169,plain,
( sum(pred(sum(n17,n3)),n20) = sK0
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2168,f560]) ).
fof(f2168,plain,
( sK0 = sum(pred(sum(n17,succ(n2))),n20)
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2167,f298]) ).
fof(f2167,plain,
( sum(pred(sum(n17,succ(n2))),sum(n2,n18)) = sK0
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2166,f576]) ).
fof(f2166,plain,
( sK0 = sum(pred(sum(n17,succ(n2))),sum(n2,pred(n19)))
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2165,f187]) ).
fof(f2165,plain,
( sum(pred(sum(n17,succ(n2))),sum(n2,pred(sum(n17,n2)))) = sK0
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1933,f798]) ).
fof(f2147,plain,
( ~ spl3_12
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2146]) ).
fof(f2146,plain,
( $false
| ~ spl3_12
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2145,f432]) ).
fof(f2145,plain,
( n6 = sK0
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2144,f675]) ).
fof(f2144,plain,
( sum(n15,n12) = sK0
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2143,f387]) ).
fof(f2143,plain,
( sK0 = sum(pred(n16),n12)
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2142,f629]) ).
fof(f2142,plain,
( sum(pred(sum(n17,n20)),n12) = sK0
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2141,f249]) ).
fof(f2141,plain,
( sum(pred(sum(n17,succ(n19))),n12) = sK0
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2140,f273]) ).
fof(f2140,plain,
( sK0 = sum(pred(sum(n17,succ(n19))),sum(n19,n14))
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2139,f164]) ).
fof(f2139,plain,
( sK0 = sum(pred(sum(n17,succ(n19))),sum(n19,pred(n15)))
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2138,f320]) ).
fof(f2138,plain,
( sK0 = sum(pred(sum(n17,succ(n19))),sum(n19,pred(sum(n17,n19))))
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1933,f770]) ).
fof(f2131,plain,
( ~ spl3_10
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2130]) ).
fof(f2130,plain,
( $false
| ~ spl3_10
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2129,f470]) ).
fof(f2129,plain,
( n18 = sK0
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2128,f659]) ).
fof(f2128,plain,
( sum(n5,n13) = sK0
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2127,f581]) ).
fof(f2127,plain,
( sK0 = sum(pred(n6),n13)
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2126,f583]) ).
fof(f2126,plain,
( sum(pred(sum(n17,n10)),n13) = sK0
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2125,f389]) ).
fof(f2125,plain,
( sum(pred(sum(n17,succ(n9))),n13) = sK0
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2124,f126]) ).
fof(f2124,plain,
( sum(pred(sum(n17,succ(n9))),sum(n9,n4)) = sK0
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2123,f708]) ).
fof(f2123,plain,
( sum(pred(sum(n17,succ(n9))),sum(n9,pred(n5))) = sK0
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2122,f110]) ).
fof(f2122,plain,
( sum(pred(sum(n17,succ(n9))),sum(n9,pred(sum(n17,n9)))) = sK0
| ~ spl3_10
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f762]) ).
fof(f2111,plain,
( ~ spl3_9
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2110]) ).
fof(f2110,plain,
( $false
| ~ spl3_9
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2109,f128]) ).
fof(f2109,plain,
( n15 = sK0
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2108,f434]) ).
fof(f2108,plain,
( sum(n18,n18) = sK0
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2107,f576]) ).
fof(f2107,plain,
( sK0 = sum(pred(n19),n18)
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2106,f187]) ).
fof(f2106,plain,
( sK0 = sum(pred(sum(n17,n2)),n18)
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2105,f20]) ).
fof(f2105,plain,
( sum(pred(sum(n17,succ(n1))),n18) = sK0
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2104,f459]) ).
fof(f2104,plain,
( sK0 = sum(pred(sum(n17,succ(n1))),sum(n1,n17))
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2103,f622]) ).
fof(f2103,plain,
( sK0 = sum(pred(sum(n17,succ(n1))),sum(n1,pred(n18)))
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2102,f486]) ).
fof(f2102,plain,
( sK0 = sum(pred(sum(n17,succ(n1))),sum(n1,pred(sum(n17,n1))))
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1933,f758]) ).
fof(f2085,plain,
( ~ spl3_21
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2084]) ).
fof(f2084,plain,
( $false
| ~ spl3_21
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2083,f123]) ).
fof(f2083,plain,
( n9 = sK0
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2082,f47]) ).
fof(f2082,plain,
( sum(n9,n0) = sK0
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2081,f231]) ).
fof(f2081,plain,
( sum(pred(n10),n0) = sK0
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2080,f144]) ).
fof(f2080,plain,
( sum(pred(sum(n17,n14)),n0) = sK0
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2079,f697]) ).
fof(f2079,plain,
( sum(pred(sum(n17,succ(n13))),n0) = sK0
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2078,f469]) ).
fof(f2078,plain,
( sK0 = sum(pred(sum(n17,succ(n13))),sum(n13,n8))
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2077,f540]) ).
fof(f2077,plain,
( sum(pred(sum(n17,succ(n13))),sum(n13,pred(n9))) = sK0
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2076,f479]) ).
fof(f2076,plain,
( sum(pred(sum(n17,succ(n13))),sum(n13,pred(sum(n17,n13)))) = sK0
| ~ spl3_21
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f806]) ).
fof(f2072,plain,
( ~ spl3_14
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2071]) ).
fof(f2071,plain,
( $false
| ~ spl3_14
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2070,f432]) ).
fof(f2070,plain,
( n6 = sK0
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2069,f32]) ).
fof(f2069,plain,
( sum(n8,n19) = sK0
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2068,f540]) ).
fof(f2068,plain,
( sum(pred(n9),n19) = sK0
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2067,f479]) ).
fof(f2067,plain,
( sK0 = sum(pred(sum(n17,n13)),n19)
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2066,f322]) ).
fof(f2066,plain,
( sum(pred(sum(n17,succ(n12))),n19) = sK0
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2065,f98]) ).
fof(f2065,plain,
( sum(pred(sum(n17,succ(n12))),sum(n12,n7)) = sK0
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2064,f245]) ).
fof(f2064,plain,
( sK0 = sum(pred(sum(n17,succ(n12))),sum(n12,pred(n8)))
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2063,f114]) ).
fof(f2063,plain,
( sum(pred(sum(n17,succ(n12))),sum(n12,pred(sum(n17,n12)))) = sK0
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1933,f778]) ).
fof(f2055,plain,
( ~ spl3_1
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2054]) ).
fof(f2054,plain,
( $false
| ~ spl3_1
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2053,f8]) ).
fof(f2053,plain,
( n3 = sK0
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2052,f695]) ).
fof(f2052,plain,
( sum(n14,n10) = sK0
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2051,f164]) ).
fof(f2051,plain,
( sum(pred(n15),n10) = sK0
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2050,f320]) ).
fof(f2050,plain,
( sum(pred(sum(n17,n19)),n10) = sK0
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2049,f569]) ).
fof(f2049,plain,
( sum(pred(sum(n17,succ(n18))),n10) = sK0
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2048,f419]) ).
fof(f2048,plain,
( sum(pred(sum(n17,succ(n18))),sum(n18,n13)) = sK0
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2047,f278]) ).
fof(f2047,plain,
( sum(pred(sum(n17,succ(n18))),sum(n18,pred(n14))) = sK0
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2046,f425]) ).
fof(f2046,plain,
( sum(pred(sum(n17,succ(n18))),sum(n18,pred(sum(n17,n18)))) = sK0
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1933,f726]) ).
fof(f2045,plain,
( ~ spl3_3
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2044]) ).
fof(f2044,plain,
( $false
| ~ spl3_3
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2043,f128]) ).
fof(f2043,plain,
( n15 = sK0
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2042,f603]) ).
fof(f2042,plain,
( sum(n11,n4) = sK0
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2041,f461]) ).
fof(f2041,plain,
( sK0 = sum(pred(n12),n4)
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2040,f272]) ).
fof(f2040,plain,
( sum(pred(sum(n17,n16)),n4) = sK0
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2039,f109]) ).
fof(f2039,plain,
( sum(pred(sum(n17,succ(n15))),n4) = sK0
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2038,f362]) ).
fof(f2038,plain,
( sum(pred(sum(n17,succ(n15))),sum(n15,n10)) = sK0
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2037,f45]) ).
fof(f2037,plain,
( sK0 = sum(pred(sum(n17,succ(n15))),sum(n15,pred(n11)))
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2036,f558]) ).
fof(f2036,plain,
( sK0 = sum(pred(sum(n17,succ(n15))),sum(n15,pred(sum(n17,n15))))
| ~ spl3_3
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f734]) ).
fof(f2031,plain,
( ~ spl3_4
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2030]) ).
fof(f2030,plain,
( $false
| ~ spl3_4
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2029,f393]) ).
fof(f2029,plain,
( n0 = sK0
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2028,f469]) ).
fof(f2028,plain,
( sum(n13,n8) = sK0
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2027,f278]) ).
fof(f2027,plain,
( sum(pred(n14),n8) = sK0
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2026,f425]) ).
fof(f2026,plain,
( sum(pred(sum(n17,n18)),n8) = sK0
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2025,f363]) ).
fof(f2025,plain,
( sK0 = sum(pred(sum(n17,succ(n17))),n8)
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2024,f114]) ).
fof(f2024,plain,
( sK0 = sum(pred(sum(n17,succ(n17))),sum(n17,n12))
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2023,f378]) ).
fof(f2023,plain,
( sum(pred(sum(n17,succ(n17))),sum(n17,pred(n13))) = sK0
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2022,f215]) ).
fof(f2022,plain,
( sK0 = sum(pred(sum(n17,succ(n17))),sum(n17,pred(sum(n17,n17))))
| ~ spl3_4
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f738]) ).
fof(f2019,plain,
( ~ spl3_17
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2018,plain,
( $false
| ~ spl3_17
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2017,f44]) ).
fof(f2017,plain,
( n12 = sK0
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2016,f631]) ).
fof(f2016,plain,
( sum(n10,n2) = sK0
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2015,f45]) ).
fof(f2015,plain,
( sK0 = sum(pred(n11),n2)
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2014,f558]) ).
fof(f2014,plain,
( sK0 = sum(pred(sum(n17,n15)),n2)
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2013,f571]) ).
fof(f2013,plain,
( sK0 = sum(pred(sum(n17,succ(n14))),n2)
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2012,f142]) ).
fof(f2012,plain,
( sum(pred(sum(n17,succ(n14))),sum(n14,n9)) = sK0
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2011,f231]) ).
fof(f2011,plain,
( sum(pred(sum(n17,succ(n14))),sum(n14,pred(n10))) = sK0
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2010,f144]) ).
fof(f2010,plain,
( sum(pred(sum(n17,succ(n14))),sum(n14,pred(sum(n17,n14)))) = sK0
| ~ spl3_17
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f790]) ).
fof(f2003,plain,
( ~ spl3_20
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2002]) ).
fof(f2002,plain,
( $false
| ~ spl3_20
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2001,f393]) ).
fof(f2001,plain,
( n0 = sK0
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2000,f157]) ).
fof(f2000,plain,
( sum(n20,n1) = sK0
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1999,f342]) ).
fof(f1999,plain,
( sK0 = sum(pred(n0),n1)
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1998,f74]) ).
fof(f1998,plain,
( sK0 = sum(pred(sum(n17,n4)),n1)
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1997,f141]) ).
fof(f1997,plain,
( sum(pred(sum(n17,succ(n3))),n1) = sK0
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1996,f464]) ).
fof(f1996,plain,
( sum(pred(sum(n17,succ(n3))),sum(n3,n19)) = sK0
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1995,f148]) ).
fof(f1995,plain,
( sum(pred(sum(n17,succ(n3))),sum(n3,pred(n20))) = sK0
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1994,f506]) ).
fof(f1994,plain,
( sK0 = sum(pred(sum(n17,succ(n3))),sum(n3,pred(sum(n17,n3))))
| ~ spl3_20
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f802]) ).
fof(f1976,plain,
( ~ spl3_11
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f1975]) ).
fof(f1975,plain,
( $false
| ~ spl3_11
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f1974,f432]) ).
fof(f1974,plain,
( n6 = sK0
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1973,f655]) ).
fof(f1973,plain,
( sum(n1,n5) = sK0
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1972,f680]) ).
fof(f1972,plain,
( sum(pred(n2),n5) = sK0
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1971,f299]) ).
fof(f1971,plain,
( sum(pred(sum(n17,n6)),n5) = sK0
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1970,f420]) ).
fof(f1970,plain,
( sum(pred(sum(n17,succ(n5))),n5) = sK0
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1969,f579]) ).
fof(f1969,plain,
( sum(pred(sum(n17,succ(n5))),sum(n5,n0)) = sK0
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1968,f96]) ).
fof(f1968,plain,
( sum(pred(sum(n17,succ(n5))),sum(n5,pred(n1))) = sK0
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1967,f693]) ).
fof(f1967,plain,
( sum(pred(sum(n17,succ(n5))),sum(n5,pred(sum(n17,n5)))) = sK0
| ~ spl3_11
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f766]) ).
fof(f1951,plain,
( ~ spl3_8
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f1950]) ).
fof(f1950,plain,
( $false
| ~ spl3_8
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f1949,f128]) ).
fof(f1949,plain,
( n15 = sK0
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1948,f627]) ).
fof(f1948,plain,
( sum(n4,n11) = sK0
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1947,f708]) ).
fof(f1947,plain,
( sK0 = sum(pred(n5),n11)
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1946,f110]) ).
fof(f1946,plain,
( sum(pred(sum(n17,n9)),n11) = sK0
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1945,f505]) ).
fof(f1945,plain,
( sK0 = sum(pred(sum(n17,succ(n8))),n11)
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1944,f58]) ).
fof(f1944,plain,
( sK0 = sum(pred(sum(n17,succ(n8))),sum(n8,n3))
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1943,f165]) ).
fof(f1943,plain,
( sum(pred(sum(n17,succ(n8))),sum(n8,pred(n4))) = sK0
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1942,f163]) ).
fof(f1942,plain,
( sK0 = sum(pred(sum(n17,succ(n8))),sum(n8,pred(sum(n17,n8))))
| ~ spl3_8
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1933,f754]) ).
fof(f1929,plain,
( ~ spl3_18
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f1928]) ).
fof(f1928,plain,
( $false
| ~ spl3_18
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f1927,f8]) ).
fof(f1927,plain,
( n3 = sK0
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1926,f397]) ).
fof(f1926,plain,
( sum(n0,n3) = sK0
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1925,f96]) ).
fof(f1925,plain,
( sK0 = sum(pred(n1),n3)
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1924,f693]) ).
fof(f1924,plain,
( sK0 = sum(pred(sum(n17,n5)),n3)
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1923,f72]) ).
fof(f1923,plain,
( sK0 = sum(pred(sum(n17,succ(n4))),n3)
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1922,f181]) ).
fof(f1922,plain,
( sK0 = sum(pred(sum(n17,succ(n4))),sum(n4,n20))
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1921,f342]) ).
fof(f1921,plain,
( sK0 = sum(pred(sum(n17,succ(n4))),sum(n4,pred(n0)))
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1920,f74]) ).
fof(f1920,plain,
( sum(pred(sum(n17,succ(n4))),sum(n4,pred(sum(n17,n4)))) = sK0
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1919,f855]) ).
fof(f1919,plain,
( sum(pred(sum(sK1,succ(n4))),sum(n4,pred(sum(sK1,n4)))) = sK0
| ~ spl3_18 ),
inference(forward_demodulation,[],[f244,f794]) ).
fof(f1905,plain,
( ~ spl3_15
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f1904]) ).
fof(f1904,plain,
( $false
| ~ spl3_15
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f1903,f8]) ).
fof(f1903,plain,
( n3 = sK0
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1902,f689]) ).
fof(f1902,plain,
( sum(n7,n17) = sK0
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1901,f245]) ).
fof(f1901,plain,
( sum(pred(n8),n17) = sK0
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1900,f114]) ).
fof(f1900,plain,
( sum(pred(sum(n17,n12)),n17) = sK0
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1899,f590]) ).
fof(f1899,plain,
( sum(pred(sum(n17,n12)),sum(n11,n6)) = sK0
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1898,f423]) ).
fof(f1898,plain,
( sum(pred(sum(n17,n12)),sum(n11,pred(n7))) = sK0
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1897,f683]) ).
fof(f1897,plain,
( sK0 = sum(pred(sum(n17,n12)),sum(n11,pred(sum(n17,n11))))
| ~ spl3_15
| ~ spl3_33 ),
inference(backward_demodulation,[],[f1892,f855]) ).
fof(f1892,plain,
( sK0 = sum(pred(sum(sK1,n12)),sum(n11,pred(sum(sK1,n11))))
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1885,f55]) ).
fof(f1885,plain,
( sK0 = sum(pred(sum(sK1,succ(n11))),sum(n11,pred(sum(sK1,n11))))
| ~ spl3_15 ),
inference(backward_demodulation,[],[f244,f782]) ).
fof(f1884,plain,
( ~ spl3_16
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1883,plain,
( $false
| ~ spl3_16
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f1882,f8]) ).
fof(f1882,plain,
( n3 = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1881,f711]) ).
fof(f1881,plain,
( sum(n18,n6) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1880,f576]) ).
fof(f1880,plain,
( sK0 = sum(pred(n19),n6)
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1879,f353]) ).
fof(f1879,plain,
( sum(pred(sum(n8,n11)),n6) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1878,f442]) ).
fof(f1878,plain,
( sK0 = sum(pred(sum(n8,n11)),sum(n10,n17))
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1877,f622]) ).
fof(f1877,plain,
( sum(pred(sum(n8,n11)),sum(n10,pred(n18))) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1876,f103]) ).
fof(f1876,plain,
( sum(pred(sum(n8,n11)),sum(n10,pred(sum(n8,n10)))) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(backward_demodulation,[],[f1513,f839]) ).
fof(f1513,plain,
( sK0 = sum(pred(sum(sK1,n11)),sum(n10,pred(sum(sK1,n10))))
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1501,f542]) ).
fof(f542,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f5]) ).
fof(f1501,plain,
( sum(pred(sum(sK1,succ(n10))),sum(n10,pred(sum(sK1,n10)))) = sK0
| ~ spl3_16 ),
inference(forward_demodulation,[],[f244,f786]) ).
fof(f786,plain,
( n10 = sK2
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f784,plain,
( spl3_16
<=> n10 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f1862,plain,
( ~ spl3_16
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1861,plain,
( $false
| ~ spl3_16
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f1860,f453]) ).
fof(f1860,plain,
( n4 = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1859,f360]) ).
fof(f1859,plain,
( sum(n8,n17) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1858,f540]) ).
fof(f1858,plain,
( sK0 = sum(pred(n9),n17)
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1857,f291]) ).
fof(f1857,plain,
( sum(pred(sum(n19,n11)),n17) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1856,f289]) ).
fof(f1856,plain,
( sum(pred(sum(n19,n11)),sum(n10,n7)) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1855,f245]) ).
fof(f1855,plain,
( sum(pred(sum(n19,n11)),sum(n10,pred(n8))) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1854,f664]) ).
fof(f1854,plain,
( sum(pred(sum(n19,n11)),sum(n10,pred(sum(n19,n10)))) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(backward_demodulation,[],[f1513,f835]) ).
fof(f1845,plain,
( ~ spl3_16
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f1844]) ).
fof(f1844,plain,
( $false
| ~ spl3_16
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f1843,f44]) ).
fof(f1843,plain,
( n12 = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1842,f435]) ).
fof(f1842,plain,
( sum(n12,n0) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1841,f378]) ).
fof(f1841,plain,
( sK0 = sum(pred(n13),n0)
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1840,f223]) ).
fof(f1840,plain,
( sum(pred(sum(n2,n11)),n0) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1839,f160]) ).
fof(f1839,plain,
( sK0 = sum(pred(sum(n2,n11)),sum(n10,n11))
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1838,f461]) ).
fof(f1838,plain,
( sum(pred(sum(n2,n11)),sum(n10,pred(n12))) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1837,f604]) ).
fof(f1837,plain,
( sum(pred(sum(n2,n11)),sum(n10,pred(sum(n2,n10)))) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1513,f823]) ).
fof(f1826,plain,
( ~ spl3_16
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1825]) ).
fof(f1825,plain,
( $false
| ~ spl3_16
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1824,f140]) ).
fof(f1824,plain,
( n14 = sK0
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1823,f575]) ).
fof(f1823,plain,
( sum(n13,n1) = sK0
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1822,f278]) ).
fof(f1822,plain,
( sum(pred(n14),n1) = sK0
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1821,f345]) ).
fof(f1821,plain,
( sum(pred(sum(n3,n11)),n1) = sK0
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1820,f203]) ).
fof(f1820,plain,
( sum(pred(sum(n3,n11)),sum(n10,n12)) = sK0
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1819,f378]) ).
fof(f1819,plain,
( sum(pred(sum(n3,n11)),sum(n10,pred(n13))) = sK0
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1818,f176]) ).
fof(f1818,plain,
( sum(pred(sum(n3,n11)),sum(n10,pred(sum(n3,n10)))) = sK0
| ~ spl3_16
| ~ spl3_42 ),
inference(backward_demodulation,[],[f1513,f891]) ).
fof(f1794,plain,
( ~ spl3_16
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f1793]) ).
fof(f1793,plain,
( $false
| ~ spl3_16
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f1792,f637]) ).
fof(f1792,plain,
( n7 = sK0
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1791,f714]) ).
fof(f1791,plain,
( sum(n20,n8) = sK0
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1790,f342]) ).
fof(f1790,plain,
( sum(pred(n0),n8) = sK0
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1789,f160]) ).
fof(f1789,plain,
( sum(pred(sum(n10,n11)),n8) = sK0
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1788,f241]) ).
fof(f1788,plain,
( sK0 = sum(pred(sum(n10,n11)),sum(n10,n19))
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1787,f148]) ).
fof(f1787,plain,
( sum(pred(sum(n10,n11)),sum(n10,pred(n20))) = sK0
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1786,f472]) ).
fof(f1786,plain,
( sum(pred(sum(n10,n11)),sum(n10,pred(sum(n10,n10)))) = sK0
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1513,f871]) ).
fof(f1778,plain,
( ~ spl3_16
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f1777]) ).
fof(f1777,plain,
( $false
| ~ spl3_16
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f1776,f306]) ).
fof(f1776,plain,
( n8 = sK0
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1775,f241]) ).
fof(f1775,plain,
( sum(n10,n19) = sK0
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1774,f45]) ).
fof(f1774,plain,
( sum(pred(n11),n19) = sK0
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1773,f599]) ).
fof(f1773,plain,
( sum(pred(sum(n0,n11)),n19) = sK0
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1772,f514]) ).
fof(f1772,plain,
( sum(pred(sum(n0,n11)),sum(n10,n9)) = sK0
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1771,f231]) ).
fof(f1771,plain,
( sum(pred(sum(n0,n11)),sum(n10,pred(n10))) = sK0
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1770,f409]) ).
fof(f1770,plain,
( sum(pred(sum(n0,n11)),sum(n10,pred(sum(n0,n10)))) = sK0
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1513,f863]) ).
fof(f1749,plain,
( ~ spl3_16
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1748,plain,
( $false
| ~ spl3_16
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f1747,f111]) ).
fof(f1747,plain,
( n5 = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1746,f212]) ).
fof(f1746,plain,
( sum(n19,n7) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1745,f148]) ).
fof(f1745,plain,
( sK0 = sum(pred(n20),n7)
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1744,f519]) ).
fof(f1744,plain,
( sum(pred(sum(n9,n11)),n7) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1743,f24]) ).
fof(f1743,plain,
( sum(pred(sum(n9,n11)),sum(n10,n18)) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1742,f576]) ).
fof(f1742,plain,
( sK0 = sum(pred(sum(n9,n11)),sum(n10,pred(n19)))
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1741,f354]) ).
fof(f1741,plain,
( sK0 = sum(pred(sum(n9,n11)),sum(n10,pred(sum(n9,n10))))
| ~ spl3_16
| ~ spl3_22 ),
inference(backward_demodulation,[],[f1513,f811]) ).
fof(f1731,plain,
( ~ spl3_16
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f1730]) ).
fof(f1730,plain,
( $false
| ~ spl3_16
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f1729,f60]) ).
fof(f1729,plain,
( n1 = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1728,f693]) ).
fof(f1728,plain,
( sum(n17,n5) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1727,f622]) ).
fof(f1727,plain,
( sum(pred(n18),n5) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1726,f651]) ).
fof(f1726,plain,
( sum(pred(sum(n7,n11)),n5) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1725,f323]) ).
fof(f1725,plain,
( sK0 = sum(pred(sum(n7,n11)),sum(n10,n16))
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1724,f661]) ).
fof(f1724,plain,
( sum(pred(sum(n7,n11)),sum(n10,pred(n17))) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1723,f430]) ).
fof(f1723,plain,
( sum(pred(sum(n7,n11)),sum(n10,pred(sum(n7,n10)))) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1513,f819]) ).
fof(f1711,plain,
( ~ spl3_16
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f1710]) ).
fof(f1710,plain,
( $false
| ~ spl3_16
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f1709,f118]) ).
fof(f1709,plain,
( n16 = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1708,f90]) ).
fof(f1708,plain,
( sum(n14,n2) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1707,f164]) ).
fof(f1707,plain,
( sum(pred(n15),n2) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1706,f627]) ).
fof(f1706,plain,
( sK0 = sum(pred(sum(n4,n11)),n2)
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1705,f585]) ).
fof(f1705,plain,
( sum(pred(sum(n4,n11)),sum(n10,n13)) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1704,f278]) ).
fof(f1704,plain,
( sum(pred(sum(n4,n11)),sum(n10,pred(n14))) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1703,f193]) ).
fof(f1703,plain,
( sum(pred(sum(n4,n11)),sum(n10,pred(sum(n4,n10)))) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1513,f827]) ).
fof(f1685,plain,
( ~ spl3_16
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f1684]) ).
fof(f1684,plain,
( $false
| ~ spl3_16
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f1683,f393]) ).
fof(f1683,plain,
( n0 = sK0
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1682,f262]) ).
fof(f1682,plain,
( sum(n6,n15) = sK0
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1681,f423]) ).
fof(f1681,plain,
( sum(pred(n7),n15) = sK0
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1680,f683]) ).
fof(f1680,plain,
( sum(pred(sum(n17,n11)),n15) = sK0
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1679,f524]) ).
fof(f1679,plain,
( sum(pred(sum(n17,n11)),sum(n10,n5)) = sK0
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1678,f581]) ).
fof(f1678,plain,
( sum(pred(sum(n17,n11)),sum(n10,pred(n6))) = sK0
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1677,f583]) ).
fof(f1677,plain,
( sum(pred(sum(n17,n11)),sum(n10,pred(sum(n17,n10)))) = sK0
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1513,f855]) ).
fof(f1671,plain,
( ~ spl3_16
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f1670]) ).
fof(f1670,plain,
( $false
| ~ spl3_16
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f1669,f277]) ).
fof(f1669,plain,
( n19 = sK0
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1668,f364]) ).
fof(f1668,plain,
( sum(n5,n14) = sK0
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1667,f581]) ).
fof(f1667,plain,
( sum(pred(n6),n14) = sK0
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1666,f324]) ).
fof(f1666,plain,
( sum(pred(sum(n16,n11)),n14) = sK0
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1665,f702]) ).
fof(f1665,plain,
( sum(pred(sum(n16,n11)),sum(n10,n4)) = sK0
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1664,f708]) ).
fof(f1664,plain,
( sK0 = sum(pred(sum(n16,n11)),sum(n10,pred(n5)))
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1663,f715]) ).
fof(f1663,plain,
( sK0 = sum(pred(sum(n16,n11)),sum(n10,pred(sum(n16,n10))))
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1513,f879]) ).
fof(f1660,plain,
( ~ spl3_16
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f1659]) ).
fof(f1659,plain,
( $false
| ~ spl3_16
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f1658,f12]) ).
fof(f1658,plain,
( n11 = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1657,f394]) ).
fof(f1657,plain,
( sum(n1,n10) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1656,f680]) ).
fof(f1656,plain,
( sK0 = sum(pred(n2),n10)
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1655,f554]) ).
fof(f1655,plain,
( sum(pred(sum(n12,n11)),n10) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1654,f489]) ).
fof(f1654,plain,
( sK0 = sum(pred(sum(n12,n11)),sum(n10,n0))
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1653,f96]) ).
fof(f1653,plain,
( sK0 = sum(pred(sum(n12,n11)),sum(n10,pred(n1)))
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1652,f429]) ).
fof(f1652,plain,
( sum(pred(sum(n12,n11)),sum(n10,pred(sum(n12,n10)))) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1513,f815]) ).
fof(f1641,plain,
( ~ spl3_16
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f1640]) ).
fof(f1640,plain,
( $false
| ~ spl3_16
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f1639,f43]) ).
fof(f1639,plain,
( n13 = sK0
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1638,f223]) ).
fof(f1638,plain,
( sum(n2,n11) = sK0
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1637,f480]) ).
fof(f1637,plain,
( sK0 = sum(pred(n3),n11)
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1636,f332]) ).
fof(f1636,plain,
( sum(pred(sum(n13,n11)),n11) = sK0
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1635,f29]) ).
fof(f1635,plain,
( sK0 = sum(pred(sum(n13,n11)),sum(n10,n1))
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1634,f680]) ).
fof(f1634,plain,
( sum(pred(sum(n13,n11)),sum(n10,pred(n2))) = sK0
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1633,f357]) ).
fof(f1633,plain,
( sK0 = sum(pred(sum(n13,n11)),sum(n10,pred(sum(n13,n10))))
| ~ spl3_16
| ~ spl3_38 ),
inference(backward_demodulation,[],[f1513,f875]) ).
fof(f1622,plain,
( ~ spl3_16
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f1621]) ).
fof(f1621,plain,
( $false
| ~ spl3_16
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f1620,f663]) ).
fof(f1620,plain,
( n20 = sK0
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1619,f592]) ).
fof(f1619,plain,
( sum(n16,n4) = sK0
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1618,f661]) ).
fof(f1618,plain,
( sK0 = sum(pred(n17),n4)
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1617,f37]) ).
fof(f1617,plain,
( sum(pred(sum(n6,n11)),n4) = sK0
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1616,f279]) ).
fof(f1616,plain,
( sK0 = sum(pred(sum(n6,n11)),sum(n10,n15))
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1615,f387]) ).
fof(f1615,plain,
( sum(pred(sum(n6,n11)),sum(n10,pred(n16))) = sK0
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1614,f722]) ).
fof(f1614,plain,
( sum(pred(sum(n6,n11)),sum(n10,pred(sum(n6,n10)))) = sK0
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1513,f867]) ).
fof(f1605,plain,
( ~ spl3_16
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f1604]) ).
fof(f1604,plain,
( $false
| ~ spl3_16
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f1603,f123]) ).
fof(f1603,plain,
( n9 = sK0
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1602,f311]) ).
fof(f1602,plain,
( sum(n0,n9) = sK0
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1601,f96]) ).
fof(f1601,plain,
( sK0 = sum(pred(n1),n9)
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1600,f649]) ).
fof(f1600,plain,
( sK0 = sum(pred(sum(n11,n11)),n9)
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1599,f460]) ).
fof(f1599,plain,
( sum(pred(sum(n11,n11)),sum(n10,n20)) = sK0
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1598,f342]) ).
fof(f1598,plain,
( sum(pred(sum(n11,n11)),sum(n10,pred(n0))) = sK0
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1597,f392]) ).
fof(f1597,plain,
( sK0 = sum(pred(sum(n11,n11)),sum(n10,pred(sum(n11,n10))))
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1513,f887]) ).
fof(f1587,plain,
( ~ spl3_16
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f1586]) ).
fof(f1586,plain,
( $false
| ~ spl3_16
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f1585,f307]) ).
fof(f1585,plain,
( n17 = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1584,f256]) ).
fof(f1584,plain,
( sum(n4,n13) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1583,f708]) ).
fof(f1583,plain,
( sum(pred(n5),n13) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1582,f258]) ).
fof(f1582,plain,
( sum(pred(sum(n15,n11)),n13) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1581,f192]) ).
fof(f1581,plain,
( sK0 = sum(pred(sum(n15,n11)),sum(n10,n3))
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1580,f165]) ).
fof(f1580,plain,
( sum(pred(sum(n15,n11)),sum(n10,pred(n4))) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1579,f362]) ).
fof(f1579,plain,
( sum(pred(sum(n15,n11)),sum(n10,pred(sum(n15,n10)))) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1513,f831]) ).
fof(f1572,plain,
( ~ spl3_16
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f1571]) ).
fof(f1571,plain,
( $false
| ~ spl3_16
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f1570,f102]) ).
fof(f1570,plain,
( n10 = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1569,f265]) ).
fof(f1569,plain,
( sum(n11,n20) = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1568,f461]) ).
fof(f1568,plain,
( sum(pred(n12),n20) = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1567,f177]) ).
fof(f1567,plain,
( sK0 = sum(pred(sum(n1,n11)),n20)
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1566,f472]) ).
fof(f1566,plain,
( sK0 = sum(pred(sum(n1,n11)),sum(n10,n10))
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1565,f45]) ).
fof(f1565,plain,
( sum(pred(sum(n1,n11)),sum(n10,pred(n11))) = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1564,f394]) ).
fof(f1564,plain,
( sK0 = sum(pred(sum(n1,n11)),sum(n10,pred(sum(n1,n10))))
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1513,f851]) ).
fof(f1546,plain,
( ~ spl3_16
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f1545]) ).
fof(f1545,plain,
( $false
| ~ spl3_16
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f1544,f432]) ).
fof(f1544,plain,
( n6 = sK0
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1543,f567]) ).
fof(f1543,plain,
( sum(n9,n18) = sK0
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1542,f231]) ).
fof(f1542,plain,
( sum(pred(n10),n18) = sK0
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1541,f242]) ).
fof(f1541,plain,
( sum(pred(sum(n20,n11)),n18) = sK0
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1540,f658]) ).
fof(f1540,plain,
( sum(pred(sum(n20,n11)),sum(n10,n8)) = sK0
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1539,f540]) ).
fof(f1539,plain,
( sum(pred(sum(n20,n11)),sum(n10,pred(n9))) = sK0
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1538,f619]) ).
fof(f1538,plain,
( sK0 = sum(pred(sum(n20,n11)),sum(n10,pred(sum(n20,n10))))
| ~ spl3_16
| ~ spl3_34 ),
inference(backward_demodulation,[],[f1513,f859]) ).
fof(f1535,plain,
( ~ spl3_16
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1534,plain,
( $false
| ~ spl3_16
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f1533,f470]) ).
fof(f1533,plain,
( n18 = sK0
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1532,f665]) ).
fof(f1532,plain,
( sum(n15,n3) = sK0
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1531,f387]) ).
fof(f1531,plain,
( sK0 = sum(pred(n16),n3)
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1530,f9]) ).
fof(f1530,plain,
( sum(pred(sum(n5,n11)),n3) = sK0
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1529,f416]) ).
fof(f1529,plain,
( sum(pred(sum(n5,n11)),sum(n10,n14)) = sK0
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1528,f164]) ).
fof(f1528,plain,
( sK0 = sum(pred(sum(n5,n11)),sum(n10,pred(n15)))
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1527,f713]) ).
fof(f1527,plain,
( sum(pred(sum(n5,n11)),sum(n10,pred(sum(n5,n10)))) = sK0
| ~ spl3_16
| ~ spl3_40 ),
inference(backward_demodulation,[],[f1513,f883]) ).
fof(f1511,plain,
( ~ spl3_16
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f1510]) ).
fof(f1510,plain,
( $false
| ~ spl3_16
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f1509,f509]) ).
fof(f1509,plain,
( n2 = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1508,f550]) ).
fof(f1508,plain,
( sum(n7,n16) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1507,f245]) ).
fof(f1507,plain,
( sK0 = sum(pred(n8),n16)
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1506,f544]) ).
fof(f1506,plain,
( sK0 = sum(pred(sum(n18,n11)),n16)
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1505,f542]) ).
fof(f1505,plain,
( sum(pred(sum(n18,succ(n10))),n16) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1504,f408]) ).
fof(f1504,plain,
( sum(pred(sum(n18,succ(n10))),sum(n10,n6)) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1503,f423]) ).
fof(f1503,plain,
( sK0 = sum(pred(sum(n18,succ(n10))),sum(n10,pred(n7)))
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1502,f339]) ).
fof(f1502,plain,
( sum(pred(sum(n18,succ(n10))),sum(n10,pred(sum(n18,n10)))) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1501,f843]) ).
fof(f1490,plain,
( ~ spl3_7
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1489]) ).
fof(f1489,plain,
( $false
| ~ spl3_7
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1488,f8]) ).
fof(f1488,plain,
( n3 = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1487,f332]) ).
fof(f1487,plain,
( sum(n13,n11) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1486,f278]) ).
fof(f1486,plain,
( sK0 = sum(pred(n14),n11)
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1485,f349]) ).
fof(f1485,plain,
( sK0 = sum(pred(sum(n14,n0)),n11)
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1484,f370]) ).
fof(f1484,plain,
( sum(pred(sum(n14,succ(n20))),n11) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1483,f99]) ).
fof(f1483,plain,
( sum(pred(sum(n14,succ(n20))),sum(n20,n12)) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1482,f378]) ).
fof(f1482,plain,
( sum(pred(sum(n14,succ(n20))),sum(n20,pred(n13))) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1481,f75]) ).
fof(f1481,plain,
( sum(pred(sum(n14,succ(n20))),sum(n20,pred(sum(n14,n20)))) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f750]) ).
fof(f1195,plain,
( sum(pred(sum(n14,succ(sK2))),sum(sK2,pred(sum(n14,sK2)))) = sK0
| ~ spl3_31 ),
inference(forward_demodulation,[],[f244,f847]) ).
fof(f847,plain,
( n14 = sK1
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f845,plain,
( spl3_31
<=> n14 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f1472,plain,
( ~ spl3_18
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1471,plain,
( $false
| ~ spl3_18
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1470,f470]) ).
fof(f1470,plain,
( n18 = sK0
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1469,f175]) ).
fof(f1469,plain,
( sum(n18,n0) = sK0
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1468,f576]) ).
fof(f1468,plain,
( sum(pred(n19),n0) = sK0
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1467,f283]) ).
fof(f1467,plain,
( sum(pred(sum(n14,n5)),n0) = sK0
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1466,f72]) ).
fof(f1466,plain,
( sum(pred(sum(n14,succ(n4))),n0) = sK0
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1465,f374]) ).
fof(f1465,plain,
( sK0 = sum(pred(sum(n14,succ(n4))),sum(n4,n17))
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1464,f622]) ).
fof(f1464,plain,
( sum(pred(sum(n14,succ(n4))),sum(n4,pred(n18))) = sK0
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1463,f18]) ).
fof(f1463,plain,
( sum(pred(sum(n14,succ(n4))),sum(n4,pred(sum(n14,n4)))) = sK0
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f794]) ).
fof(f1445,plain,
( ~ spl3_13
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1444]) ).
fof(f1444,plain,
( $false
| ~ spl3_13
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1443,f432]) ).
fof(f1443,plain,
( n6 = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1442,f591]) ).
fof(f1442,plain,
( sum(n0,n6) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1441,f96]) ).
fof(f1441,plain,
( sK0 = sum(pred(n1),n6)
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1440,f427]) ).
fof(f1440,plain,
( sum(pred(sum(n14,n8)),n6) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1439,f413]) ).
fof(f1439,plain,
( sum(pred(sum(n14,succ(n7))),n6) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1438,f304]) ).
fof(f1438,plain,
( sK0 = sum(pred(sum(n14,succ(n7))),sum(n7,n20))
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1437,f342]) ).
fof(f1437,plain,
( sum(pred(sum(n14,succ(n7))),sum(n7,pred(n0))) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1436,f313]) ).
fof(f1436,plain,
( sum(pred(sum(n14,succ(n7))),sum(n7,pred(sum(n14,n7)))) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f774]) ).
fof(f1426,plain,
( ~ spl3_9
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1425,plain,
( $false
| ~ spl3_9
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1424,f123]) ).
fof(f1424,plain,
( n9 = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1423,f19]) ).
fof(f1423,plain,
( sum(n15,n15) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1422,f387]) ).
fof(f1422,plain,
( sK0 = sum(pred(n16),n15)
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1421,f90]) ).
fof(f1421,plain,
( sK0 = sum(pred(sum(n14,n2)),n15)
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1420,f20]) ).
fof(f1420,plain,
( sK0 = sum(pred(sum(n14,succ(n1))),n15)
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1419,f78]) ).
fof(f1419,plain,
( sum(pred(sum(n14,succ(n1))),sum(n1,n14)) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1418,f164]) ).
fof(f1418,plain,
( sum(pred(sum(n14,succ(n1))),sum(n1,pred(n15))) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1417,f433]) ).
fof(f1417,plain,
( sK0 = sum(pred(sum(n14,succ(n1))),sum(n1,pred(sum(n14,n1))))
| ~ spl3_9
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f758]) ).
fof(f1407,plain,
( ~ spl3_20
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1406,plain,
( $false
| ~ spl3_20
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1405,f128]) ).
fof(f1405,plain,
( n15 = sK0
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1404,f320]) ).
fof(f1404,plain,
( sum(n17,n19) = sK0
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1403,f622]) ).
fof(f1403,plain,
( sum(pred(n18),n19) = sK0
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1402,f18]) ).
fof(f1402,plain,
( sum(pred(sum(n14,n4)),n19) = sK0
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1401,f141]) ).
fof(f1401,plain,
( sK0 = sum(pred(sum(n14,succ(n3))),n19)
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1400,f173]) ).
fof(f1400,plain,
( sK0 = sum(pred(sum(n14,succ(n3))),sum(n3,n16))
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1399,f661]) ).
fof(f1399,plain,
( sK0 = sum(pred(sum(n14,succ(n3))),sum(n3,pred(n17)))
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1398,f85]) ).
fof(f1398,plain,
( sum(pred(sum(n14,succ(n3))),sum(n3,pred(sum(n14,n3)))) = sK0
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f802]) ).
fof(f1382,plain,
( ~ spl3_3
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1381]) ).
fof(f1381,plain,
( $false
| ~ spl3_3
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1380,f123]) ).
fof(f1380,plain,
( n9 = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1379,f482]) ).
fof(f1379,plain,
( sum(n8,n1) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1378,f540]) ).
fof(f1378,plain,
( sum(pred(n9),n1) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1377,f676]) ).
fof(f1377,plain,
( sum(pred(sum(n14,n16)),n1) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1376,f109]) ).
fof(f1376,plain,
( sK0 = sum(pred(sum(n14,succ(n15))),n1)
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1375,f263]) ).
fof(f1375,plain,
( sum(pred(sum(n14,succ(n15))),sum(n15,n7)) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1374,f245]) ).
fof(f1374,plain,
( sK0 = sum(pred(sum(n14,succ(n15))),sum(n15,pred(n8)))
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1373,f405]) ).
fof(f1373,plain,
( sum(pred(sum(n14,succ(n15))),sum(n15,pred(sum(n14,n15)))) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f734]) ).
fof(f1369,plain,
( ~ spl3_12
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1368]) ).
fof(f1368,plain,
( $false
| ~ spl3_12
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1367,f393]) ).
fof(f1367,plain,
( n0 = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1366,f336]) ).
fof(f1366,plain,
( sum(n12,n9) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1365,f378]) ).
fof(f1365,plain,
( sum(pred(n13),n9) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1364,f75]) ).
fof(f1364,plain,
( sum(pred(sum(n14,n20)),n9) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1363,f249]) ).
fof(f1363,plain,
( sum(pred(sum(n14,succ(n19))),n9) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1362,f291]) ).
fof(f1362,plain,
( sK0 = sum(pred(sum(n14,succ(n19))),sum(n19,n11))
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1361,f461]) ).
fof(f1361,plain,
( sK0 = sum(pred(sum(n14,succ(n19))),sum(n19,pred(n12)))
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1360,f446]) ).
fof(f1360,plain,
( sK0 = sum(pred(sum(n14,succ(n19))),sum(n19,pred(sum(n14,n19))))
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f770]) ).
fof(f1355,plain,
( ~ spl3_15
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1354]) ).
fof(f1354,plain,
( $false
| ~ spl3_15
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1353,f470]) ).
fof(f1353,plain,
( n18 = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1352,f108]) ).
fof(f1352,plain,
( sum(n4,n14) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1351,f708]) ).
fof(f1351,plain,
( sK0 = sum(pred(n5),n14)
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1350,f606]) ).
fof(f1350,plain,
( sK0 = sum(pred(sum(n14,n12)),n14)
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1349,f55]) ).
fof(f1349,plain,
( sK0 = sum(pred(sum(n14,succ(n11))),n14)
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1348,f365]) ).
fof(f1348,plain,
( sum(pred(sum(n14,succ(n11))),sum(n11,n3)) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1347,f165]) ).
fof(f1347,plain,
( sum(pred(sum(n14,succ(n11))),sum(n11,pred(n4))) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1346,f698]) ).
fof(f1346,plain,
( sum(pred(sum(n14,succ(n11))),sum(n11,pred(sum(n14,n11)))) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f782]) ).
fof(f1343,plain,
( ~ spl3_21
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| ~ spl3_21
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1341,f8]) ).
fof(f1341,plain,
( n3 = sK0
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1340,f325]) ).
fof(f1340,plain,
( sum(n6,n18) = sK0
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1339,f423]) ).
fof(f1339,plain,
( sum(pred(n7),n18) = sK0
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1338,f358]) ).
fof(f1338,plain,
( sum(pred(sum(n14,n14)),n18) = sK0
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1337,f697]) ).
fof(f1337,plain,
( sum(pred(sum(n14,succ(n13))),n18) = sK0
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1336,f95]) ).
fof(f1336,plain,
( sK0 = sum(pred(sum(n14,succ(n13))),sum(n13,n5))
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1335,f581]) ).
fof(f1335,plain,
( sum(pred(sum(n14,succ(n13))),sum(n13,pred(n6))) = sK0
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1334,f243]) ).
fof(f1334,plain,
( sK0 = sum(pred(sum(n14,succ(n13))),sum(n13,pred(sum(n14,n13))))
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f806]) ).
fof(f1329,plain,
( ~ spl3_1
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
fof(f1328,plain,
( $false
| ~ spl3_1
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1327,f470]) ).
fof(f1327,plain,
( n18 = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1326,f587]) ).
fof(f1326,plain,
( sum(n11,n7) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1325,f461]) ).
fof(f1325,plain,
( sK0 = sum(pred(n12),n7)
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1324,f446]) ).
fof(f1324,plain,
( sK0 = sum(pred(sum(n14,n19)),n7)
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1323,f569]) ).
fof(f1323,plain,
( sum(pred(sum(n14,succ(n18))),n7) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1322,f339]) ).
fof(f1322,plain,
( sum(pred(sum(n14,succ(n18))),sum(n18,n10)) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1321,f45]) ).
fof(f1321,plain,
( sK0 = sum(pred(sum(n14,succ(n18))),sum(n18,pred(n11)))
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1320,f428]) ).
fof(f1320,plain,
( sum(pred(sum(n14,succ(n18))),sum(n18,pred(sum(n14,n18)))) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f726]) ).
fof(f1319,plain,
( ~ spl3_4
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1318,plain,
( $false
| ~ spl3_4
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1317,f128]) ).
fof(f1317,plain,
( n15 = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1316,f524]) ).
fof(f1316,plain,
( sum(n10,n5) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1315,f45]) ).
fof(f1315,plain,
( sum(pred(n11),n5) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1314,f428]) ).
fof(f1314,plain,
( sK0 = sum(pred(sum(n14,n18)),n5)
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1313,f363]) ).
fof(f1313,plain,
( sum(pred(sum(n14,succ(n17))),n5) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1312,f110]) ).
fof(f1312,plain,
( sum(pred(sum(n14,succ(n17))),sum(n17,n9)) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1311,f231]) ).
fof(f1311,plain,
( sum(pred(sum(n14,succ(n17))),sum(n17,pred(n10))) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1310,f684]) ).
fof(f1310,plain,
( sum(pred(sum(n14,succ(n17))),sum(n17,pred(sum(n14,n17)))) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f738]) ).
fof(f1309,plain,
( ~ spl3_10
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1308,plain,
( $false
| ~ spl3_10
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1307,f44]) ).
fof(f1307,plain,
( n12 = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1306,f604]) ).
fof(f1306,plain,
( sum(n2,n10) = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1305,f480]) ).
fof(f1305,plain,
( sK0 = sum(pred(n3),n10)
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1304,f695]) ).
fof(f1304,plain,
( sK0 = sum(pred(sum(n14,n10)),n10)
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1303,f389]) ).
fof(f1303,plain,
( sK0 = sum(pred(sum(n14,succ(n9))),n10)
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1302,f670]) ).
fof(f1302,plain,
( sum(pred(sum(n14,succ(n9))),sum(n9,n1)) = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1301,f680]) ).
fof(f1301,plain,
( sK0 = sum(pred(sum(n14,succ(n9))),sum(n9,pred(n2)))
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1300,f142]) ).
fof(f1300,plain,
( sK0 = sum(pred(sum(n14,succ(n9))),sum(n9,pred(sum(n14,n9))))
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f762]) ).
fof(f1295,plain,
( ~ spl3_17
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| ~ spl3_17
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1293,f432]) ).
fof(f1293,plain,
( n6 = sK0
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1292,f304]) ).
fof(f1292,plain,
( sum(n7,n20) = sK0
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1291,f245]) ).
fof(f1291,plain,
( sum(pred(n8),n20) = sK0
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1290,f405]) ).
fof(f1290,plain,
( sum(pred(sum(n14,n15)),n20) = sK0
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1289,f571]) ).
fof(f1289,plain,
( sum(pred(sum(n14,succ(n14))),n20) = sK0
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1288,f38]) ).
fof(f1288,plain,
( sum(pred(sum(n14,succ(n14))),sum(n14,n6)) = sK0
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1287,f423]) ).
fof(f1287,plain,
( sK0 = sum(pred(sum(n14,succ(n14))),sum(n14,pred(n7)))
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1286,f358]) ).
fof(f1286,plain,
( sK0 = sum(pred(sum(n14,succ(n14))),sum(n14,pred(sum(n14,n14))))
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f790]) ).
fof(f1283,plain,
( ~ spl3_14
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1282]) ).
fof(f1282,plain,
( $false
| ~ spl3_14
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1281,f393]) ).
fof(f1281,plain,
( n0 = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1280,f421]) ).
fof(f1280,plain,
( sum(n5,n16) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1279,f581]) ).
fof(f1279,plain,
( sum(pred(n6),n16) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1278,f243]) ).
fof(f1278,plain,
( sum(pred(sum(n14,n13)),n16) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1277,f322]) ).
fof(f1277,plain,
( sum(pred(sum(n14,succ(n12))),n16) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1276,f28]) ).
fof(f1276,plain,
( sum(pred(sum(n14,succ(n12))),sum(n12,n4)) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1275,f708]) ).
fof(f1275,plain,
( sum(pred(sum(n14,succ(n12))),sum(n12,pred(n5))) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1274,f606]) ).
fof(f1274,plain,
( sum(pred(sum(n14,succ(n12))),sum(n12,pred(sum(n14,n12)))) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f778]) ).
fof(f1271,plain,
( ~ spl3_19
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| ~ spl3_19
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1269,f44]) ).
fof(f1269,plain,
( n12 = sK0
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1268,f267]) ).
fof(f1268,plain,
( sum(n16,n17) = sK0
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1267,f661]) ).
fof(f1267,plain,
( sum(pred(n17),n17) = sK0
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1266,f85]) ).
fof(f1266,plain,
( sK0 = sum(pred(sum(n14,n3)),n17)
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1265,f560]) ).
fof(f1265,plain,
( sK0 = sum(pred(sum(n14,succ(n2))),n17)
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1264,f580]) ).
fof(f1264,plain,
( sum(pred(sum(n14,succ(n2))),sum(n2,n15)) = sK0
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1263,f387]) ).
fof(f1263,plain,
( sum(pred(sum(n14,succ(n2))),sum(n2,pred(n16))) = sK0
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1260,f90]) ).
fof(f1260,plain,
( sum(pred(sum(n14,succ(n2))),sum(n2,pred(sum(n14,n2)))) = sK0
| ~ spl3_19
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f798]) ).
fof(f1258,plain,
( ~ spl3_5
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1257,plain,
( $false
| ~ spl3_5
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1256,f8]) ).
fof(f1256,plain,
( n3 = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1255,f162]) ).
fof(f1255,plain,
( sum(n20,n4) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1254,f342]) ).
fof(f1254,plain,
( sum(pred(n0),n4) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1253,f313]) ).
fof(f1253,plain,
( sK0 = sum(pred(sum(n14,n7)),n4)
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1252,f137]) ).
fof(f1252,plain,
( sum(pred(sum(n14,succ(n6))),n4) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1251,f185]) ).
fof(f1251,plain,
( sum(pred(sum(n14,succ(n6))),sum(n6,n19)) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1250,f148]) ).
fof(f1250,plain,
( sum(pred(sum(n14,succ(n6))),sum(n6,pred(n20))) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1249,f38]) ).
fof(f1249,plain,
( sK0 = sum(pred(sum(n14,succ(n6))),sum(n6,pred(sum(n14,n6))))
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f742]) ).
fof(f1244,plain,
( ~ spl3_16
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1243,plain,
( $false
| ~ spl3_16
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1242,f128]) ).
fof(f1242,plain,
( n15 = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1241,f346]) ).
fof(f1241,plain,
( sum(n3,n12) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1240,f165]) ).
fof(f1240,plain,
( sum(pred(n4),n12) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1239,f698]) ).
fof(f1239,plain,
( sum(pred(sum(n14,n11)),n12) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1238,f542]) ).
fof(f1238,plain,
( sK0 = sum(pred(sum(n14,succ(n10))),n12)
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1237,f631]) ).
fof(f1237,plain,
( sum(pred(sum(n14,succ(n10))),sum(n10,n2)) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1236,f480]) ).
fof(f1236,plain,
( sum(pred(sum(n14,succ(n10))),sum(n10,pred(n3))) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1235,f695]) ).
fof(f1235,plain,
( sum(pred(sum(n14,succ(n10))),sum(n10,pred(sum(n14,n10)))) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f786]) ).
fof(f1231,plain,
( ~ spl3_6
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1230]) ).
fof(f1230,plain,
( $false
| ~ spl3_6
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1229,f432]) ).
fof(f1229,plain,
( n6 = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1228,f243]) ).
fof(f1228,plain,
( sum(n14,n13) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1227,f164]) ).
fof(f1227,plain,
( sum(pred(n15),n13) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1226,f433]) ).
fof(f1226,plain,
( sum(pred(sum(n14,n1)),n13) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1225,f543]) ).
fof(f1225,plain,
( sK0 = sum(pred(sum(n14,succ(n0))),n13)
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1224,f381]) ).
fof(f1224,plain,
( sK0 = sum(pred(sum(n14,succ(n0))),sum(n0,n13))
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1223,f278]) ).
fof(f1223,plain,
( sum(pred(sum(n14,succ(n0))),sum(n0,pred(n14))) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1222,f349]) ).
fof(f1222,plain,
( sK0 = sum(pred(sum(n14,succ(n0))),sum(n0,pred(sum(n14,n0))))
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f746]) ).
fof(f1221,plain,
( ~ spl3_11
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1220,plain,
( $false
| ~ spl3_11
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1219,f393]) ).
fof(f1219,plain,
( n0 = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1218,f113]) ).
fof(f1218,plain,
( sum(n19,n2) = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1217,f148]) ).
fof(f1217,plain,
( sum(pred(n20),n2) = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1216,f38]) ).
fof(f1216,plain,
( sK0 = sum(pred(sum(n14,n6)),n2)
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1215,f420]) ).
fof(f1215,plain,
( sK0 = sum(pred(sum(n14,succ(n5))),n2)
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1214,f154]) ).
fof(f1214,plain,
( sK0 = sum(pred(sum(n14,succ(n5))),sum(n5,n18))
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1213,f576]) ).
fof(f1213,plain,
( sK0 = sum(pred(sum(n14,succ(n5))),sum(n5,pred(n19)))
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1212,f283]) ).
fof(f1212,plain,
( sK0 = sum(pred(sum(n14,succ(n5))),sum(n5,pred(sum(n14,n5))))
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1195,f766]) ).
fof(f1209,plain,
( ~ spl3_8
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl3_8
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1207,f123]) ).
fof(f1207,plain,
( n9 = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1206,f152]) ).
fof(f1206,plain,
( sum(n1,n8) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1205,f680]) ).
fof(f1205,plain,
( sK0 = sum(pred(n2),n8)
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1204,f142]) ).
fof(f1204,plain,
( sum(pred(sum(n14,n9)),n8) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1203,f505]) ).
fof(f1203,plain,
( sum(pred(sum(n14,succ(n8))),n8) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1202,f646]) ).
fof(f1202,plain,
( sum(pred(sum(n14,succ(n8))),sum(n8,n0)) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1201,f96]) ).
fof(f1201,plain,
( sum(pred(sum(n14,succ(n8))),sum(n8,pred(n1))) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1199,f427]) ).
fof(f1199,plain,
( sum(pred(sum(n14,succ(n8))),sum(n8,pred(sum(n14,n8)))) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(backward_demodulation,[],[f1195,f754]) ).
fof(f1187,plain,
( ~ spl3_2
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1186,plain,
( $false
| ~ spl3_2
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1185,f12]) ).
fof(f1185,plain,
( n11 = sK0
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1184,f35]) ).
fof(f1184,plain,
( sum(n19,n13) = sK0
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1183,f148]) ).
fof(f1183,plain,
( sum(pred(n20),n13) = sK0
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1182,f549]) ).
fof(f1182,plain,
( sum(pred(sum(n3,n17)),n13) = sK0
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1181,f573]) ).
fof(f1181,plain,
( sK0 = sum(pred(sum(n3,n17)),sum(n16,n18))
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1180,f576]) ).
fof(f1180,plain,
( sK0 = sum(pred(sum(n3,n17)),sum(n16,pred(n19)))
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1179,f173]) ).
fof(f1179,plain,
( sum(pred(sum(n3,n17)),sum(n16,pred(sum(n3,n16)))) = sK0
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f894,f891]) ).
fof(f894,plain,
( sum(pred(sum(sK1,n17)),sum(n16,pred(sum(sK1,n16)))) = sK0
| ~ spl3_2 ),
inference(forward_demodulation,[],[f893,f6]) ).
fof(f6,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f5]) ).
fof(f893,plain,
( sum(pred(sum(sK1,succ(n16))),sum(n16,pred(sum(sK1,n16)))) = sK0
| ~ spl3_2 ),
inference(backward_demodulation,[],[f244,f730]) ).
fof(f730,plain,
( n16 = sK2
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f728,plain,
( spl3_2
<=> n16 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f1159,plain,
( ~ spl3_2
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1158,plain,
( $false
| ~ spl3_2
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f1157,f432]) ).
fof(f1157,plain,
( n6 = sK0
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1156,f260]) ).
fof(f1156,plain,
( sum(n6,n0) = sK0
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1155,f423]) ).
fof(f1155,plain,
( sK0 = sum(pred(n7),n0)
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1154,f261]) ).
fof(f1154,plain,
( sum(pred(sum(n11,n17)),n0) = sK0
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1153,f308]) ).
fof(f1153,plain,
( sK0 = sum(pred(sum(n11,n17)),sum(n16,n5))
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1152,f581]) ).
fof(f1152,plain,
( sK0 = sum(pred(sum(n11,n17)),sum(n16,pred(n6)))
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1151,f190]) ).
fof(f1151,plain,
( sum(pred(sum(n11,n17)),sum(n16,pred(sum(n11,n16)))) = sK0
| ~ spl3_2
| ~ spl3_41 ),
inference(backward_demodulation,[],[f894,f887]) ).
fof(f1146,plain,
( ~ spl3_2
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1145,plain,
( $false
| ~ spl3_2
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f1144,f128]) ).
fof(f1144,plain,
( n15 = sK0
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1143,f669]) ).
fof(f1143,plain,
( sum(n0,n15) = sK0
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1142,f96]) ).
fof(f1142,plain,
( sK0 = sum(pred(n1),n15)
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1141,f522]) ).
fof(f1141,plain,
( sum(pred(sum(n5,n17)),n15) = sK0
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1140,f656]) ).
fof(f1140,plain,
( sK0 = sum(pred(sum(n5,n17)),sum(n16,n20))
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1139,f342]) ).
fof(f1139,plain,
( sK0 = sum(pred(sum(n5,n17)),sum(n16,pred(n0)))
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1138,f421]) ).
fof(f1138,plain,
( sum(pred(sum(n5,n17)),sum(n16,pred(sum(n5,n16)))) = sK0
| ~ spl3_2
| ~ spl3_40 ),
inference(backward_demodulation,[],[f894,f883]) ).
fof(f1120,plain,
( ~ spl3_2
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1119,plain,
( $false
| ~ spl3_2
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f1118,f118]) ).
fof(f1118,plain,
( n16 = sK0
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1117,f236]) ).
fof(f1117,plain,
( sum(n11,n5) = sK0
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1116,f461]) ).
fof(f1116,plain,
( sK0 = sum(pred(n12),n5)
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1115,f267]) ).
fof(f1115,plain,
( sK0 = sum(pred(sum(n16,n17)),n5)
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1114,f715]) ).
fof(f1114,plain,
( sK0 = sum(pred(sum(n16,n17)),sum(n16,n10))
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1113,f45]) ).
fof(f1113,plain,
( sK0 = sum(pred(sum(n16,n17)),sum(n16,pred(n11)))
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1112,f445]) ).
fof(f1112,plain,
( sum(pred(sum(n16,n17)),sum(n16,pred(sum(n16,n16)))) = sK0
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f894,f879]) ).
fof(f1111,plain,
( ~ spl3_2
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1110,plain,
( $false
| ~ spl3_2
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f1109,f102]) ).
fof(f1109,plain,
( n10 = sK0
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1108,f46]) ).
fof(f1108,plain,
( sum(n8,n2) = sK0
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1107,f540]) ).
fof(f1107,plain,
( sK0 = sum(pred(n9),n2)
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1106,f350]) ).
fof(f1106,plain,
( sK0 = sum(pred(sum(n13,n17)),n2)
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1105,f666]) ).
fof(f1105,plain,
( sK0 = sum(pred(sum(n13,n17)),sum(n16,n7))
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1104,f245]) ).
fof(f1104,plain,
( sK0 = sum(pred(sum(n13,n17)),sum(n16,pred(n8)))
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1103,f222]) ).
fof(f1103,plain,
( sum(pred(sum(n13,n17)),sum(n16,pred(sum(n13,n16)))) = sK0
| ~ spl3_2
| ~ spl3_38 ),
inference(backward_demodulation,[],[f894,f875]) ).
fof(f1094,plain,
( ~ spl3_2
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1093,plain,
( $false
| ~ spl3_2
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f1092,f453]) ).
fof(f1092,plain,
( n4 = sK0
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1091,f230]) ).
fof(f1091,plain,
( sum(n5,n20) = sK0
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1090,f581]) ).
fof(f1090,plain,
( sum(pred(n6),n20) = sK0
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1089,f442]) ).
fof(f1089,plain,
( sum(pred(sum(n10,n17)),n20) = sK0
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1088,f592]) ).
fof(f1088,plain,
( sum(pred(sum(n10,n17)),sum(n16,n4)) = sK0
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1087,f708]) ).
fof(f1087,plain,
( sum(pred(sum(n10,n17)),sum(n16,pred(n5))) = sK0
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1086,f323]) ).
fof(f1086,plain,
( sum(pred(sum(n10,n17)),sum(n16,pred(sum(n10,n16)))) = sK0
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f894,f871]) ).
fof(f1079,plain,
( ~ spl3_2
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f1078]) ).
fof(f1078,plain,
( $false
| ~ spl3_2
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f1077,f307]) ).
fof(f1077,plain,
( n17 = sK0
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1076,f84]) ).
fof(f1076,plain,
( sum(n1,n16) = sK0
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1075,f680]) ).
fof(f1075,plain,
( sK0 = sum(pred(n2),n16)
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1074,f216]) ).
fof(f1074,plain,
( sK0 = sum(pred(sum(n6,n17)),n16)
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1073,f398]) ).
fof(f1073,plain,
( sum(pred(sum(n6,n17)),sum(n16,n0)) = sK0
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1072,f96]) ).
fof(f1072,plain,
( sK0 = sum(pred(sum(n6,n17)),sum(n16,pred(n1)))
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1071,f329]) ).
fof(f1071,plain,
( sum(pred(sum(n6,n17)),sum(n16,pred(sum(n6,n16)))) = sK0
| ~ spl3_2
| ~ spl3_36 ),
inference(backward_demodulation,[],[f894,f867]) ).
fof(f1060,plain,
( ~ spl3_2
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f1059]) ).
fof(f1059,plain,
( $false
| ~ spl3_2
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f1058,f111]) ).
fof(f1058,plain,
( n5 = sK0
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1057,f715]) ).
fof(f1057,plain,
( sum(n16,n10) = sK0
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1056,f661]) ).
fof(f1056,plain,
( sK0 = sum(pred(n17),n10)
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1055,f385]) ).
fof(f1055,plain,
( sK0 = sum(pred(sum(n0,n17)),n10)
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1054,f406]) ).
fof(f1054,plain,
( sK0 = sum(pred(sum(n0,n17)),sum(n16,n15))
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1053,f387]) ).
fof(f1053,plain,
( sum(pred(sum(n0,n17)),sum(n16,pred(n16))) = sK0
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1052,f650]) ).
fof(f1052,plain,
( sum(pred(sum(n0,n17)),sum(n16,pred(sum(n0,n16)))) = sK0
| ~ spl3_2
| ~ spl3_35 ),
inference(backward_demodulation,[],[f894,f863]) ).
fof(f1039,plain,
( ~ spl3_2
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1038,plain,
( $false
| ~ spl3_2
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f1037,f8]) ).
fof(f1037,plain,
( n3 = sK0
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1036,f251]) ).
fof(f1036,plain,
( sum(n15,n9) = sK0
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1035,f387]) ).
fof(f1035,plain,
( sum(pred(n16),n9) = sK0
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1034,f685]) ).
fof(f1034,plain,
( sum(pred(sum(n20,n17)),n9) = sK0
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1033,f82]) ).
fof(f1033,plain,
( sum(pred(sum(n20,n17)),sum(n16,n14)) = sK0
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1032,f164]) ).
fof(f1032,plain,
( sum(pred(sum(n20,n17)),sum(n16,pred(n15))) = sK0
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1031,f561]) ).
fof(f1031,plain,
( sum(pred(sum(n20,n17)),sum(n16,pred(sum(n20,n16)))) = sK0
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f894,f859]) ).
fof(f1029,plain,
( ~ spl3_2
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1028,plain,
( $false
| ~ spl3_2
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f1027,f470]) ).
fof(f1027,plain,
( n18 = sK0
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1026,f568]) ).
fof(f1026,plain,
( sum(n12,n6) = sK0
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1025,f378]) ).
fof(f1025,plain,
( sK0 = sum(pred(n13),n6)
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1024,f215]) ).
fof(f1024,plain,
( sum(pred(sum(n17,n17)),n6) = sK0
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1023,f324]) ).
fof(f1023,plain,
( sum(pred(sum(n17,n17)),sum(n16,n11)) = sK0
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1022,f461]) ).
fof(f1022,plain,
( sum(pred(sum(n17,n17)),sum(n16,pred(n12))) = sK0
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1021,f272]) ).
fof(f1021,plain,
( sum(pred(sum(n17,n17)),sum(n16,pred(sum(n17,n16)))) = sK0
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f894,f855]) ).
fof(f1018,plain,
( ~ spl3_2
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1017,plain,
( $false
| ~ spl3_2
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f1016,f637]) ).
fof(f1016,plain,
( n7 = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1015,f683]) ).
fof(f1015,plain,
( sum(n17,n11) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1014,f622]) ).
fof(f1014,plain,
( sum(pred(n18),n11) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1013,f459]) ).
fof(f1013,plain,
( sum(pred(sum(n1,n17)),n11) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1012,f445]) ).
fof(f1012,plain,
( sum(pred(sum(n1,n17)),sum(n16,n16)) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1011,f661]) ).
fof(f1011,plain,
( sum(pred(sum(n1,n17)),sum(n16,pred(n17))) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1010,f84]) ).
fof(f1010,plain,
( sum(pred(sum(n1,n17)),sum(n16,pred(sum(n1,n16)))) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f894,f851]) ).
fof(f999,plain,
( ~ spl3_2
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f998,plain,
( $false
| ~ spl3_2
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f997,f44]) ).
fof(f997,plain,
( n12 = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f996,f607]) ).
fof(f996,plain,
( sum(n9,n3) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f995,f231]) ).
fof(f995,plain,
( sK0 = sum(pred(n10),n3)
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f994,f684]) ).
fof(f994,plain,
( sK0 = sum(pred(sum(n14,n17)),n3)
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f993,f235]) ).
fof(f993,plain,
( sK0 = sum(pred(sum(n14,n17)),sum(n16,n8))
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f992,f540]) ).
fof(f992,plain,
( sum(pred(sum(n14,n17)),sum(n16,pred(n9))) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f991,f676]) ).
fof(f991,plain,
( sum(pred(sum(n14,n17)),sum(n16,pred(sum(n14,n16)))) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(backward_demodulation,[],[f894,f847]) ).
fof(f988,plain,
( ~ spl3_2
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f987,plain,
( $false
| ~ spl3_2
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f986,f663]) ).
fof(f986,plain,
( n20 = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f985,f52]) ).
fof(f985,plain,
( sum(n13,n7) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f984,f278]) ).
fof(f984,plain,
( sum(pred(n14),n7) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f983,f373]) ).
fof(f983,plain,
( sK0 = sum(pred(sum(n18,n17)),n7)
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f982,f551]) ).
fof(f982,plain,
( sum(pred(sum(n18,n17)),sum(n16,n12)) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f981,f378]) ).
fof(f981,plain,
( sum(pred(sum(n18,n17)),sum(n16,pred(n13))) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f980,f310]) ).
fof(f980,plain,
( sK0 = sum(pred(sum(n18,n17)),sum(n16,pred(sum(n18,n16))))
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f894,f843]) ).
fof(f978,plain,
( ~ spl3_2
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f977,plain,
( $false
| ~ spl3_2
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f976,f393]) ).
fof(f976,plain,
( n0 = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f975,f204]) ).
fof(f975,plain,
( sum(n3,n18) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f974,f165]) ).
fof(f974,plain,
( sum(pred(n4),n18) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f973,f360]) ).
fof(f973,plain,
( sum(pred(sum(n8,n17)),n18) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f972,f502]) ).
fof(f972,plain,
( sK0 = sum(pred(sum(n8,n17)),sum(n16,n2))
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f971,f480]) ).
fof(f971,plain,
( sum(pred(sum(n8,n17)),sum(n16,pred(n3))) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f970,f171]) ).
fof(f970,plain,
( sum(pred(sum(n8,n17)),sum(n16,pred(sum(n8,n16)))) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(backward_demodulation,[],[f894,f839]) ).
fof(f965,plain,
( ~ spl3_2
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f964,plain,
( $false
| ~ spl3_2
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f963,f60]) ).
fof(f963,plain,
( n1 = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f962,f427]) ).
fof(f962,plain,
( sum(n14,n8) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f961,f164]) ).
fof(f961,plain,
( sum(pred(n15),n8) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f960,f139]) ).
fof(f960,plain,
( sum(pred(sum(n19,n17)),n8) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f959,f301]) ).
fof(f959,plain,
( sum(pred(sum(n19,n17)),sum(n16,n13)) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f958,f278]) ).
fof(f958,plain,
( sK0 = sum(pred(sum(n19,n17)),sum(n16,pred(n14)))
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f957,f280]) ).
fof(f957,plain,
( sum(pred(sum(n19,n17)),sum(n16,pred(sum(n19,n16)))) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(backward_demodulation,[],[f894,f835]) ).
fof(f956,plain,
( ~ spl3_2
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f955,plain,
( $false
| ~ spl3_2
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f954,f140]) ).
fof(f954,plain,
( n14 = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f953,f702]) ).
fof(f953,plain,
( sum(n10,n4) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f952,f45]) ).
fof(f952,plain,
( sum(pred(n11),n4) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f951,f600]) ).
fof(f951,plain,
( sum(pred(sum(n15,n17)),n4) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f950,f21]) ).
fof(f950,plain,
( sK0 = sum(pred(sum(n15,n17)),sum(n16,n9))
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f949,f231]) ).
fof(f949,plain,
( sum(pred(sum(n15,n17)),sum(n16,pred(n10))) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f948,f653]) ).
fof(f948,plain,
( sum(pred(sum(n15,n17)),sum(n16,pred(sum(n15,n16)))) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f894,f831]) ).
fof(f945,plain,
( ~ spl3_2
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f944]) ).
fof(f944,plain,
( $false
| ~ spl3_2
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f943,f43]) ).
fof(f943,plain,
( n13 = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f942,f448]) ).
fof(f942,plain,
( sum(n20,n14) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f941,f342]) ).
fof(f941,plain,
( sum(pred(n0),n14) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f940,f374]) ).
fof(f940,plain,
( sum(pred(sum(n4,n17)),n14) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f939,f570]) ).
fof(f939,plain,
( sum(pred(sum(n4,n17)),sum(n16,n19)) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f938,f148]) ).
fof(f938,plain,
( sum(pred(sum(n4,n17)),sum(n16,pred(n20))) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f937,f535]) ).
fof(f937,plain,
( sum(pred(sum(n4,n17)),sum(n16,pred(sum(n4,n16)))) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f894,f827]) ).
fof(f933,plain,
( ~ spl3_2
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f932,plain,
( $false
| ~ spl3_2
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f931,f123]) ).
fof(f931,plain,
( n9 = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f930,f107]) ).
fof(f930,plain,
( sum(n18,n12) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f929,f576]) ).
fof(f929,plain,
( sum(pred(n19),n12) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f928,f53]) ).
fof(f928,plain,
( sum(pred(sum(n2,n17)),n12) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f927,f267]) ).
fof(f927,plain,
( sK0 = sum(pred(sum(n2,n17)),sum(n16,n17))
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f926,f622]) ).
fof(f926,plain,
( sK0 = sum(pred(sum(n2,n17)),sum(n16,pred(n18)))
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f925,f33]) ).
fof(f925,plain,
( sum(pred(sum(n2,n17)),sum(n16,pred(sum(n2,n16)))) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f894,f823]) ).
fof(f923,plain,
( ~ spl3_2
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f922,plain,
( $false
| ~ spl3_2
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f921,f277]) ).
fof(f921,plain,
( n19 = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f920,f53]) ).
fof(f920,plain,
( sum(n2,n17) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f919,f480]) ).
fof(f919,plain,
( sK0 = sum(pred(n3),n17)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f918,f689]) ).
fof(f918,plain,
( sK0 = sum(pred(sum(n7,n17)),n17)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f917,f452]) ).
fof(f917,plain,
( sum(pred(sum(n7,n17)),sum(n16,n1)) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f916,f680]) ).
fof(f916,plain,
( sum(pred(sum(n7,n17)),sum(n16,pred(n2))) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f914,f550]) ).
fof(f914,plain,
( sum(pred(sum(n7,n17)),sum(n16,pred(sum(n7,n16)))) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(backward_demodulation,[],[f894,f819]) ).
fof(f912,plain,
( ~ spl3_2
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| ~ spl3_2
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f910,f306]) ).
fof(f910,plain,
( n8 = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f909,f257]) ).
fof(f909,plain,
( sum(n7,n1) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f908,f245]) ).
fof(f908,plain,
( sum(pred(n8),n1) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f907,f50]) ).
fof(f907,plain,
( sum(pred(sum(n12,n17)),n1) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f906,f500]) ).
fof(f906,plain,
( sum(pred(sum(n12,n17)),sum(n16,n6)) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f905,f423]) ).
fof(f905,plain,
( sum(pred(sum(n12,n17)),sum(n16,pred(n7))) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f904,f135]) ).
fof(f904,plain,
( sK0 = sum(pred(sum(n12,n17)),sum(n16,pred(sum(n12,n16))))
| ~ spl3_2
| ~ spl3_23 ),
inference(backward_demodulation,[],[f894,f815]) ).
fof(f903,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f902,plain,
( $false
| ~ spl3_2
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f901,f509]) ).
fof(f901,plain,
( n2 = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f900,f56]) ).
fof(f900,plain,
( sum(n4,n19) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f899,f708]) ).
fof(f899,plain,
( sum(pred(n5),n19) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f898,f344]) ).
fof(f898,plain,
( sum(pred(sum(n9,n17)),n19) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f897,f525]) ).
fof(f897,plain,
( sum(pred(sum(n9,n17)),sum(n16,n3)) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f896,f165]) ).
fof(f896,plain,
( sum(pred(sum(n9,n17)),sum(n16,pred(n4))) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f895,f478]) ).
fof(f895,plain,
( sum(pred(sum(n9,n17)),sum(n16,pred(sum(n9,n16)))) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(backward_demodulation,[],[f894,f811]) ).
fof(f892,plain,
( spl3_22
| spl3_23
| spl3_24
| spl3_25
| spl3_26
| spl3_27
| spl3_28
| spl3_29
| spl3_30
| spl3_31
| spl3_32
| spl3_33
| spl3_34
| spl3_35
| spl3_36
| spl3_37
| spl3_38
| spl3_39
| spl3_40
| spl3_41
| spl3_42 ),
inference(avatar_split_clause,[],[f359,f889,f885,f881,f877,f873,f869,f865,f861,f857,f853,f849,f845,f841,f837,f833,f829,f825,f821,f817,f813,f809]) ).
fof(f359,plain,
( n3 = sK1
| n11 = sK1
| n5 = sK1
| n16 = sK1
| n13 = sK1
| n10 = sK1
| n6 = sK1
| n0 = sK1
| n20 = sK1
| n17 = sK1
| n1 = sK1
| n14 = sK1
| n18 = sK1
| n8 = sK1
| n19 = sK1
| n15 = sK1
| n4 = sK1
| n2 = sK1
| n7 = sK1
| n12 = sK1
| n9 = sK1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f807,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| spl3_8
| spl3_9
| spl3_10
| spl3_11
| spl3_12
| spl3_13
| spl3_14
| spl3_15
| spl3_16
| spl3_17
| spl3_18
| spl3_19
| spl3_20
| spl3_21 ),
inference(avatar_split_clause,[],[f100,f804,f800,f796,f792,f788,f784,f780,f776,f772,f768,f764,f760,f756,f752,f748,f744,f740,f736,f732,f728,f724]) ).
fof(f100,plain,
( n13 = sK2
| n3 = sK2
| n2 = sK2
| n4 = sK2
| n14 = sK2
| n10 = sK2
| n11 = sK2
| n12 = sK2
| n7 = sK2
| n19 = sK2
| n5 = sK2
| n9 = sK2
| n1 = sK2
| n8 = sK2
| n20 = sK2
| n0 = sK2
| n6 = sK2
| n17 = sK2
| n15 = sK2
| n16 = sK2
| n18 = sK2 ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM375+1.020 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:41:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % (6130)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (6130)Instruction limit reached!
% 0.20/0.58 % (6130)------------------------------
% 0.20/0.58 % (6130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (6146)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)
% 0.20/0.58 % (6138)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.59 % (6130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (6130)Termination reason: Unknown
% 0.20/0.59 % (6130)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (6130)Memory used [KB]: 1407
% 0.20/0.59 % (6130)Time elapsed: 0.006 s
% 0.20/0.59 % (6130)Instructions burned: 8 (million)
% 0.20/0.59 % (6130)------------------------------
% 0.20/0.59 % (6130)------------------------------
% 0.20/0.59 % (6131)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59 % (6131)Instruction limit reached!
% 0.20/0.59 % (6131)------------------------------
% 0.20/0.59 % (6131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (6131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (6131)Termination reason: Unknown
% 0.20/0.59 % (6131)Termination phase: shuffling
% 0.20/0.59
% 0.20/0.59 % (6131)Memory used [KB]: 1151
% 0.20/0.59 % (6131)Time elapsed: 0.002 s
% 0.20/0.59 % (6131)Instructions burned: 2 (million)
% 0.20/0.59 % (6131)------------------------------
% 0.20/0.59 % (6131)------------------------------
% 0.20/0.59 % (6129)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60 % (6139)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)
% 1.52/0.61 % (6123)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.52/0.61 % (6147)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.62 % (6135)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.52/0.63 % (6127)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.63 % (6145)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)
% 1.91/0.63 % (6126)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.63 % (6136)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.63 % (6149)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)
% 1.91/0.63 % (6148)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.91/0.63 % (6137)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)
% 1.91/0.63 % (6125)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)
% 1.91/0.63 % (6128)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.91/0.64 % (6151)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.91/0.64 % (6143)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)
% 1.91/0.64 % (6140)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.91/0.64 % (6144)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.91/0.64 % (6141)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.64 % (6142)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)
% 1.91/0.65 % (6152)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)
% 1.91/0.65 % (6133)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.91/0.65 % (6132)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)
% 1.91/0.65 % (6124)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.91/0.65 % (6134)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)
% 1.91/0.66 % (6150)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)
% 2.26/0.72 % (6125)Instruction limit reached!
% 2.26/0.72 % (6125)------------------------------
% 2.26/0.72 % (6125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.72 % (6125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.72 % (6125)Termination reason: Unknown
% 2.26/0.72 % (6125)Termination phase: Saturation
% 2.26/0.72
% 2.26/0.72 % (6125)Memory used [KB]: 1918
% 2.26/0.72 % (6125)Time elapsed: 0.276 s
% 2.26/0.72 % (6125)Instructions burned: 37 (million)
% 2.26/0.72 % (6125)------------------------------
% 2.26/0.72 % (6125)------------------------------
% 2.26/0.72 % (6138)Instruction limit reached!
% 2.26/0.72 % (6138)------------------------------
% 2.26/0.72 % (6138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.72 % (6138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.72 % (6138)Termination reason: Unknown
% 2.26/0.72 % (6138)Termination phase: Saturation
% 2.26/0.72
% 2.26/0.72 % (6138)Memory used [KB]: 2174
% 2.26/0.72 % (6138)Time elapsed: 0.272 s
% 2.26/0.72 % (6138)Instructions burned: 75 (million)
% 2.26/0.72 % (6138)------------------------------
% 2.26/0.72 % (6138)------------------------------
% 2.26/0.73 % (6129)Instruction limit reached!
% 2.26/0.73 % (6129)------------------------------
% 2.26/0.73 % (6129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.73 % (6129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.73 % (6129)Termination reason: Unknown
% 2.26/0.73 % (6129)Termination phase: Finite model building preprocessing
% 2.26/0.73
% 2.26/0.73 % (6129)Memory used [KB]: 2814
% 2.26/0.73 % (6129)Time elapsed: 0.033 s
% 2.26/0.73 % (6129)Instructions burned: 52 (million)
% 2.26/0.73 % (6129)------------------------------
% 2.26/0.73 % (6129)------------------------------
% 2.26/0.74 % (6127)Instruction limit reached!
% 2.26/0.74 % (6127)------------------------------
% 2.26/0.74 % (6127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.74 % (6127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.74 % (6127)Termination reason: Unknown
% 2.26/0.74 % (6127)Termination phase: Saturation
% 2.26/0.74
% 2.26/0.74 % (6127)Memory used [KB]: 6652
% 2.26/0.74 % (6127)Time elapsed: 0.041 s
% 2.26/0.74 % (6127)Instructions burned: 51 (million)
% 2.26/0.74 % (6127)------------------------------
% 2.26/0.74 % (6127)------------------------------
% 2.77/0.76 % (6133)Instruction limit reached!
% 2.77/0.76 % (6133)------------------------------
% 2.77/0.76 % (6133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.77 % (6126)Instruction limit reached!
% 2.77/0.77 % (6126)------------------------------
% 2.77/0.77 % (6126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.77 % (6126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.77 % (6126)Termination reason: Unknown
% 2.77/0.77 % (6126)Termination phase: Saturation
% 2.77/0.77
% 2.77/0.77 % (6126)Memory used [KB]: 6780
% 2.77/0.77 % (6126)Time elapsed: 0.318 s
% 2.77/0.77 % (6126)Instructions burned: 51 (million)
% 2.77/0.77 % (6126)------------------------------
% 2.77/0.77 % (6126)------------------------------
% 2.77/0.77 % (6133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.77 % (6133)Termination reason: Unknown
% 2.77/0.77 % (6133)Termination phase: Saturation
% 2.77/0.77
% 2.77/0.77 % (6133)Memory used [KB]: 6652
% 2.77/0.77 % (6140)Instruction limit reached!
% 2.77/0.77 % (6140)------------------------------
% 2.77/0.77 % (6140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.77 % (6140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.77 % (6140)Termination reason: Unknown
% 2.77/0.77 % (6140)Termination phase: Finite model building preprocessing
% 2.77/0.77
% 2.77/0.77 % (6140)Memory used [KB]: 7675
% 2.77/0.77 % (6140)Time elapsed: 0.039 s
% 2.77/0.77 % (6140)Instructions burned: 60 (million)
% 2.77/0.77 % (6140)------------------------------
% 2.77/0.77 % (6140)------------------------------
% 2.77/0.77 % (6133)Time elapsed: 0.301 s
% 2.77/0.77 % (6133)Instructions burned: 51 (million)
% 2.77/0.77 % (6133)------------------------------
% 2.77/0.77 % (6133)------------------------------
% 2.92/0.77 % (6132)Instruction limit reached!
% 2.92/0.77 % (6132)------------------------------
% 2.92/0.77 % (6132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.77 % (6132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.77 % (6132)Termination reason: Unknown
% 2.92/0.77 % (6132)Termination phase: Saturation
% 2.92/0.77
% 2.92/0.77 % (6132)Memory used [KB]: 2046
% 2.92/0.77 % (6132)Time elapsed: 0.276 s
% 2.92/0.77 % (6132)Instructions burned: 51 (million)
% 2.92/0.77 % (6132)------------------------------
% 2.92/0.77 % (6132)------------------------------
% 2.92/0.77 % (6128)Instruction limit reached!
% 2.92/0.77 % (6128)------------------------------
% 2.92/0.77 % (6128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.78 % (6128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.78 % (6128)Termination reason: Unknown
% 2.92/0.78 % (6128)Termination phase: Saturation
% 2.92/0.78
% 2.92/0.78 % (6128)Memory used [KB]: 6780
% 2.92/0.78 % (6128)Time elapsed: 0.329 s
% 2.92/0.78 % (6128)Instructions burned: 49 (million)
% 2.92/0.78 % (6128)------------------------------
% 2.92/0.78 % (6128)------------------------------
% 2.92/0.78 % (6124)Instruction limit reached!
% 2.92/0.78 % (6124)------------------------------
% 2.92/0.78 % (6124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.78 % (6124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.78 % (6124)Termination reason: Unknown
% 2.92/0.78 % (6124)Termination phase: Saturation
% 2.92/0.78
% 2.92/0.78 % (6124)Memory used [KB]: 6652
% 2.92/0.78 % (6124)Time elapsed: 0.039 s
% 2.92/0.78 % (6124)Instructions burned: 50 (million)
% 2.92/0.78 % (6124)------------------------------
% 2.92/0.78 % (6124)------------------------------
% 2.92/0.79 % (6157)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.92/0.79 % (6137)Instruction limit reached!
% 2.92/0.79 % (6137)------------------------------
% 2.92/0.79 % (6137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.80 % (6137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.80 % (6137)Termination reason: Unknown
% 2.92/0.80 % (6137)Termination phase: Saturation
% 2.92/0.80
% 2.92/0.80 % (6137)Memory used [KB]: 7547
% 2.92/0.80 % (6137)Time elapsed: 0.051 s
% 2.92/0.80 % (6137)Instructions burned: 68 (million)
% 2.92/0.80 % (6137)------------------------------
% 2.92/0.80 % (6137)------------------------------
% 2.92/0.80 % (6149)Instruction limit reached!
% 2.92/0.80 % (6149)------------------------------
% 2.92/0.80 % (6149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.80 % (6149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.80 % (6149)Termination reason: Unknown
% 2.92/0.80 % (6149)Termination phase: Saturation
% 2.92/0.80
% 2.92/0.80 % (6149)Memory used [KB]: 7547
% 2.92/0.80 % (6149)Time elapsed: 0.053 s
% 2.92/0.80 % (6149)Instructions burned: 68 (million)
% 2.92/0.80 % (6149)------------------------------
% 2.92/0.80 % (6149)------------------------------
% 2.92/0.82 TRYING [22]
% 3.27/0.82 % (6158)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)
% 3.27/0.85 % (6139)Instruction limit reached!
% 3.27/0.85 % (6139)------------------------------
% 3.27/0.85 % (6139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.85 % (6139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.85 % (6139)Termination reason: Unknown
% 3.27/0.85 % (6139)Termination phase: Saturation
% 3.27/0.85
% 3.27/0.85 % (6139)Memory used [KB]: 7164
% 3.27/0.85 % (6139)Time elapsed: 0.393 s
% 3.27/0.85 % (6139)Instructions burned: 99 (million)
% 3.27/0.85 % (6139)------------------------------
% 3.27/0.85 % (6139)------------------------------
% 3.39/0.87 % (6142)Instruction limit reached!
% 3.39/0.87 % (6142)------------------------------
% 3.39/0.87 % (6142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.87 % (6142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.87 % (6142)Termination reason: Unknown
% 3.39/0.87 % (6142)Termination phase: Saturation
% 3.39/0.87
% 3.39/0.87 % (6142)Memory used [KB]: 2046
% 3.39/0.87 % (6142)Time elapsed: 0.390 s
% 3.39/0.87 % (6142)Instructions burned: 101 (million)
% 3.39/0.87 % (6142)------------------------------
% 3.39/0.87 % (6142)------------------------------
% 3.39/0.87 % (6135)Instruction limit reached!
% 3.39/0.87 % (6135)------------------------------
% 3.39/0.87 % (6135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.87 % (6135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.87 % (6135)Termination reason: Unknown
% 3.39/0.87 % (6135)Termination phase: Saturation
% 3.39/0.87
% 3.39/0.87 % (6135)Memory used [KB]: 7291
% 3.39/0.87 % (6135)Time elapsed: 0.413 s
% 3.39/0.87 % (6135)Instructions burned: 102 (million)
% 3.39/0.87 % (6135)------------------------------
% 3.39/0.87 % (6135)------------------------------
% 3.39/0.88 % (6141)Instruction limit reached!
% 3.39/0.88 % (6141)------------------------------
% 3.39/0.88 % (6141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.88 % (6141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.88 % (6141)Termination reason: Unknown
% 3.39/0.88 % (6141)Termination phase: Saturation
% 3.39/0.88
% 3.39/0.88 % (6141)Memory used [KB]: 7036
% 3.39/0.88 % (6141)Time elapsed: 0.075 s
% 3.39/0.88 % (6141)Instructions burned: 101 (million)
% 3.39/0.88 % (6141)------------------------------
% 3.39/0.88 % (6141)------------------------------
% 3.39/0.89 % (6134)Instruction limit reached!
% 3.39/0.89 % (6134)------------------------------
% 3.39/0.89 % (6134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.89 % (6134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.89 % (6134)Termination reason: Unknown
% 3.39/0.89 % (6134)Termination phase: Saturation
% 3.39/0.89
% 3.39/0.89 % (6134)Memory used [KB]: 7164
% 3.39/0.89 % (6134)Time elapsed: 0.440 s
% 3.39/0.89 % (6134)Instructions burned: 100 (million)
% 3.39/0.89 % (6134)------------------------------
% 3.39/0.89 % (6134)------------------------------
% 3.39/0.89 % (6136)Instruction limit reached!
% 3.39/0.89 % (6136)------------------------------
% 3.39/0.89 % (6136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.89 % (6136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.89 % (6136)Termination reason: Unknown
% 3.39/0.89 % (6136)Termination phase: Saturation
% 3.39/0.89
% 3.39/0.89 % (6136)Memory used [KB]: 7291
% 3.39/0.89 % (6136)Time elapsed: 0.428 s
% 3.39/0.89 % (6136)Instructions burned: 100 (million)
% 3.39/0.89 % (6136)------------------------------
% 3.39/0.89 % (6136)------------------------------
% 3.39/0.91 % (6169)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)
% 3.74/0.96 % (6177)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)
% 3.74/0.96 % (6143)Instruction limit reached!
% 3.74/0.96 % (6143)------------------------------
% 3.74/0.96 % (6143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.74/0.96 % (6143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.74/0.96 % (6143)Termination reason: Unknown
% 3.74/0.96 % (6143)Termination phase: Saturation
% 3.74/0.96
% 3.74/0.96 % (6143)Memory used [KB]: 7547
% 3.74/0.96 % (6143)Time elapsed: 0.168 s
% 3.74/0.96 % (6143)Instructions burned: 176 (million)
% 3.74/0.96 % (6143)------------------------------
% 3.74/0.96 % (6143)------------------------------
% 3.74/0.97 % (6175)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 (2995ds/747Mi)
% 3.87/0.98 % (6150)Instruction limit reached!
% 3.87/0.98 % (6150)------------------------------
% 3.87/0.98 % (6150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.87/0.98 % (6150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.87/0.98 % (6150)Termination reason: Unknown
% 3.87/0.98 % (6150)Termination phase: Saturation
% 3.87/0.98
% 3.87/0.98 % (6150)Memory used [KB]: 2302
% 3.87/0.98 % (6150)Time elapsed: 0.512 s
% 3.87/0.98 % (6150)Instructions burned: 178 (million)
% 3.87/0.98 % (6150)------------------------------
% 3.87/0.98 % (6150)------------------------------
% 3.87/0.98 % (6170)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.87/0.98 % (6178)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)
% 3.87/0.99 % (6185)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)
% 3.87/1.01 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.87/1.02 % (6179)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)
% 3.87/1.02 % (6184)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.87/1.02 % (6144)Instruction limit reached!
% 3.87/1.02 % (6144)------------------------------
% 3.87/1.02 % (6144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.87/1.02 % (6144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.87/1.02 % (6144)Termination reason: Unknown
% 3.87/1.02 % (6144)Termination phase: Saturation
% 3.87/1.02
% 3.87/1.02 % (6144)Memory used [KB]: 7164
% 3.87/1.02 % (6144)Time elapsed: 0.106 s
% 3.87/1.02 % (6144)Instructions burned: 138 (million)
% 3.87/1.02 % (6144)------------------------------
% 3.87/1.02 % (6144)------------------------------
% 3.87/1.03 % (6172)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 4.03/1.06 % (6176)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 (2995ds/655Mi)
% 4.03/1.06 % (6151)First to succeed.
% 4.08/1.08 % (6198)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 4.08/1.09 % (6177)Instruction limit reached!
% 4.08/1.09 % (6177)------------------------------
% 4.08/1.09 % (6177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.08/1.09 % (6177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.08/1.09 % (6177)Termination reason: Unknown
% 4.08/1.09 % (6177)Termination phase: Saturation
% 4.08/1.09
% 4.08/1.09 % (6177)Memory used [KB]: 7547
% 4.08/1.09 % (6177)Time elapsed: 0.047 s
% 4.08/1.09 % (6177)Instructions burned: 68 (million)
% 4.08/1.09 % (6177)------------------------------
% 4.08/1.09 % (6177)------------------------------
% 4.08/1.09 % (6181)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)
% 4.08/1.09 % (6169)Instruction limit reached!
% 4.08/1.09 % (6169)------------------------------
% 4.08/1.09 % (6169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.08/1.09 % (6169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.08/1.09 % (6169)Termination reason: Unknown
% 4.08/1.09 % (6169)Termination phase: Saturation
% 4.08/1.09
% 4.08/1.09 % (6169)Memory used [KB]: 7036
% 4.08/1.09 % (6169)Time elapsed: 0.257 s
% 4.08/1.09 % (6169)Instructions burned: 91 (million)
% 4.08/1.09 % (6169)------------------------------
% 4.08/1.09 % (6169)------------------------------
% 4.08/1.09 % (6191)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)
% 4.08/1.09 % (6182)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)
% 4.08/1.09 % (6188)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)
% 4.08/1.10 % (6189)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 4.08/1.13 % (6192)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)
% 5.91/1.16 % (6190)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)
% 6.40/1.20 % (6151)Refutation found. Thanks to Tanya!
% 6.40/1.20 % SZS status Unsatisfiable for theBenchmark
% 6.40/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 6.40/1.24 % (6151)------------------------------
% 6.40/1.24 % (6151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.40/1.24 % (6151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.40/1.24 % (6151)Termination reason: Refutation
% 6.40/1.24
% 6.40/1.24 % (6151)Memory used [KB]: 8955
% 6.40/1.24 % (6151)Time elapsed: 0.395 s
% 6.40/1.24 % (6151)Instructions burned: 272 (million)
% 6.40/1.24 % (6151)------------------------------
% 6.40/1.24 % (6151)------------------------------
% 6.40/1.24 % (6122)Success in time 0.856 s
%------------------------------------------------------------------------------